0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.212 * * * [progress]: [2/2] Setting up program. 0.218 * [progress]: [Phase 2 of 3] Improving. 0.218 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.219 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.219 * * [simplify]: iters left: 6 (13 enodes) 0.226 * * [simplify]: iters left: 5 (57 enodes) 0.237 * * [simplify]: iters left: 4 (96 enodes) 0.256 * * [simplify]: iters left: 3 (172 enodes) 0.337 * * [simplify]: iters left: 2 (338 enodes) 0.462 * * [simplify]: Extracting #0: cost 1 inf + 0 0.462 * * [simplify]: Extracting #1: cost 41 inf + 0 0.463 * * [simplify]: Extracting #2: cost 120 inf + 1 0.464 * * [simplify]: Extracting #3: cost 166 inf + 127 0.466 * * [simplify]: Extracting #4: cost 163 inf + 676 0.469 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.479 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.491 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.504 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.526 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.527 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.537 * * [progress]: iteration 1 / 4 0.537 * * * [progress]: picking best candidate 0.542 * * * * [pick]: Picked # 0.542 * * * [progress]: localizing error 0.563 * * * [progress]: generating rewritten candidates 0.563 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.578 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.601 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.624 * * * [progress]: generating series expansions 0.624 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.624 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.624 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.624 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.624 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of 1/2 in k 0.625 * [backup-simplify]: Simplify 1/2 into 1/2 0.625 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.625 * [taylor]: Taking taylor expansion of 1 in k 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of k in k 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.625 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.625 * [taylor]: Taking taylor expansion of 2 in k 0.625 * [backup-simplify]: Simplify 2 into 2 0.625 * [taylor]: Taking taylor expansion of (* n PI) in k 0.625 * [taylor]: Taking taylor expansion of n in k 0.625 * [backup-simplify]: Simplify n into n 0.625 * [taylor]: Taking taylor expansion of PI in k 0.625 * [backup-simplify]: Simplify PI into PI 0.625 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.625 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.625 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify (+ 1 0) into 1 0.626 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.626 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.626 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.626 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1/2 in n 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.626 * [taylor]: Taking taylor expansion of 1 in n 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [backup-simplify]: Simplify k into k 0.626 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.626 * [taylor]: Taking taylor expansion of 2 in n 0.626 * [backup-simplify]: Simplify 2 into 2 0.626 * [taylor]: Taking taylor expansion of (* n PI) in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of PI in n 0.626 * [backup-simplify]: Simplify PI into PI 0.626 * [backup-simplify]: Simplify (* 0 PI) into 0 0.627 * [backup-simplify]: Simplify (* 2 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.628 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.629 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.629 * [backup-simplify]: Simplify (- k) into (- k) 0.629 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.629 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.630 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.631 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.632 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.632 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.632 * [taylor]: Taking taylor expansion of 1/2 in n 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.632 * [taylor]: Taking taylor expansion of 1 in n 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of k in n 0.632 * [backup-simplify]: Simplify k into k 0.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.632 * [taylor]: Taking taylor expansion of 2 in n 0.632 * [backup-simplify]: Simplify 2 into 2 0.632 * [taylor]: Taking taylor expansion of (* n PI) in n 0.632 * [taylor]: Taking taylor expansion of n in n 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of PI in n 0.632 * [backup-simplify]: Simplify PI into PI 0.632 * [backup-simplify]: Simplify (* 0 PI) into 0 0.632 * [backup-simplify]: Simplify (* 2 0) into 0 0.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.634 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.635 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.635 * [backup-simplify]: Simplify (- k) into (- k) 0.635 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.635 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.636 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.637 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.637 * [taylor]: Taking taylor expansion of 1/2 in k 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.637 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.637 * [taylor]: Taking taylor expansion of 1 in k 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of k in k 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.637 * [taylor]: Taking taylor expansion of (log n) in k 0.637 * [taylor]: Taking taylor expansion of n in k 0.637 * [backup-simplify]: Simplify n into n 0.637 * [backup-simplify]: Simplify (log n) into (log n) 0.637 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.637 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.637 * [taylor]: Taking taylor expansion of 2 in k 0.637 * [backup-simplify]: Simplify 2 into 2 0.637 * [taylor]: Taking taylor expansion of PI in k 0.637 * [backup-simplify]: Simplify PI into PI 0.638 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.638 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.639 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.640 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.641 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.641 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.642 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.649 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.651 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.651 * [taylor]: Taking taylor expansion of 0 in k 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.659 * [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))))) 0.662 * [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))))))) 0.665 * [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))))))) 0.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.668 * [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 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.671 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.672 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.673 * [taylor]: Taking taylor expansion of 0 in k 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.676 * [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 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.682 * [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))))) 0.684 * [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))))) 0.690 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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))))) 0.691 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.691 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.691 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.691 * [taylor]: Taking taylor expansion of 1/2 in k 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (- 1 (/ 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 (/ 1 k) in k 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) 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 (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [backup-simplify]: Simplify PI into PI 0.691 * [taylor]: Taking taylor expansion of n in k 0.691 * [backup-simplify]: Simplify n into n 0.691 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.691 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.692 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.692 * [backup-simplify]: Simplify (- 1) into -1 0.692 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.692 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.692 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.693 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.693 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.693 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.693 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.693 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 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 (/ 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 (/ 1 k) in n 0.693 * [taylor]: Taking taylor expansion of k in n 0.693 * [backup-simplify]: Simplify k into k 0.693 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.693 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) 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 (/ PI n) in n 0.693 * [taylor]: Taking taylor expansion of PI in n 0.693 * [backup-simplify]: Simplify PI into PI 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 * [backup-simplify]: Simplify (/ PI 1) into PI 0.693 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.694 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.694 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.694 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.694 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.695 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.696 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.696 * [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))))) 0.696 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of 1/2 in n 0.697 * [backup-simplify]: Simplify 1/2 into 1/2 0.697 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.697 * [taylor]: Taking taylor expansion of 1 in n 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [backup-simplify]: Simplify k into k 0.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.697 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2 in n 0.697 * [backup-simplify]: Simplify 2 into 2 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [backup-simplify]: Simplify PI into PI 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ PI 1) into PI 0.697 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.704 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.705 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.705 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.705 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.706 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.707 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.709 * [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))))) 0.709 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.709 * [taylor]: Taking taylor expansion of 1/2 in k 0.709 * [backup-simplify]: Simplify 1/2 into 1/2 0.709 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.709 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.709 * [taylor]: Taking taylor expansion of 1 in k 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.709 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.709 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.710 * [taylor]: Taking taylor expansion of 2 in k 0.710 * [backup-simplify]: Simplify 2 into 2 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [backup-simplify]: Simplify PI into PI 0.710 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 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) 0.712 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.713 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.714 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.715 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.716 * [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))))) 0.718 * [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))))) 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.725 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.727 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in k 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.731 * [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 0.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.734 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.736 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.736 * [taylor]: Taking taylor expansion of 0 in k 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.740 * [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 0.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.744 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.745 * [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 0.745 * [taylor]: Taking taylor expansion of 0 in k 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [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)))))) 0.747 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.747 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.747 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.747 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.747 * [taylor]: Taking taylor expansion of 1/2 in k 0.747 * [backup-simplify]: Simplify 1/2 into 1/2 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [taylor]: Taking taylor expansion of 1 in k 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.747 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.747 * [taylor]: Taking taylor expansion of -2 in k 0.747 * [backup-simplify]: Simplify -2 into -2 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.748 * [taylor]: Taking taylor expansion of PI in k 0.748 * [backup-simplify]: Simplify PI into PI 0.748 * [taylor]: Taking taylor expansion of n in k 0.748 * [backup-simplify]: Simplify n into n 0.748 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.748 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.748 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.748 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.748 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.748 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.748 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.748 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.748 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.749 * [taylor]: Taking taylor expansion of 1/2 in n 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.749 * [taylor]: Taking taylor expansion of k in n 0.749 * [backup-simplify]: Simplify k into k 0.749 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.749 * [taylor]: Taking taylor expansion of 1 in n 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.749 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.749 * [taylor]: Taking taylor expansion of -2 in n 0.749 * [backup-simplify]: Simplify -2 into -2 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.749 * [backup-simplify]: Simplify PI into PI 0.749 * [taylor]: Taking taylor expansion of n in n 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ PI 1) into PI 0.749 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.750 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.750 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.750 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.751 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.752 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.752 * [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))))) 0.752 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.752 * [taylor]: Taking taylor expansion of 1/2 in n 0.752 * [backup-simplify]: Simplify 1/2 into 1/2 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [backup-simplify]: Simplify k into k 0.753 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.753 * [taylor]: Taking taylor expansion of 1 in n 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of -2 in n 0.753 * [backup-simplify]: Simplify -2 into -2 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ PI 1) into PI 0.753 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.754 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.754 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.754 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.756 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.756 * [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))))) 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.756 * [taylor]: Taking taylor expansion of 1/2 in k 0.756 * [backup-simplify]: Simplify 1/2 into 1/2 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.756 * [taylor]: Taking taylor expansion of k in k 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of 1 in k 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.757 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.757 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.757 * [taylor]: Taking taylor expansion of -2 in k 0.757 * [backup-simplify]: Simplify -2 into -2 0.757 * [taylor]: Taking taylor expansion of PI in k 0.757 * [backup-simplify]: Simplify PI into PI 0.757 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.758 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.758 * [taylor]: Taking taylor expansion of (log n) in k 0.758 * [taylor]: Taking taylor expansion of n in k 0.758 * [backup-simplify]: Simplify n into n 0.758 * [backup-simplify]: Simplify (log n) into (log n) 0.758 * [backup-simplify]: Simplify (+ 1 0) into 1 0.758 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.759 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.759 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.760 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.761 * [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))))) 0.761 * [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))))) 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.766 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.767 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.767 * [taylor]: Taking taylor expansion of 0 in k 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.770 * [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 0.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.773 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.774 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.774 * [taylor]: Taking taylor expansion of 0 in k 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.779 * [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 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.782 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.785 * [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 0.785 * [taylor]: Taking taylor expansion of 0 in k 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.786 * [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)))))) 0.786 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.787 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.787 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.787 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.787 * [taylor]: Taking taylor expansion of 2 in n 0.787 * [backup-simplify]: Simplify 2 into 2 0.787 * [taylor]: Taking taylor expansion of (* n PI) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of PI in n 0.787 * [backup-simplify]: Simplify PI into PI 0.787 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.787 * [taylor]: Taking taylor expansion of 2 in n 0.787 * [backup-simplify]: Simplify 2 into 2 0.787 * [taylor]: Taking taylor expansion of (* n PI) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of PI in n 0.787 * [backup-simplify]: Simplify PI into PI 0.788 * [backup-simplify]: Simplify (* 0 PI) into 0 0.788 * [backup-simplify]: Simplify (* 2 0) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.792 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.792 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.816 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.816 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.816 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of 2 in n 0.816 * [backup-simplify]: Simplify 2 into 2 0.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.817 * [taylor]: Taking taylor expansion of PI in n 0.817 * [backup-simplify]: Simplify PI into PI 0.817 * [taylor]: Taking taylor expansion of n in n 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ PI 1) into PI 0.817 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.817 * [taylor]: Taking taylor expansion of 2 in n 0.817 * [backup-simplify]: Simplify 2 into 2 0.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.817 * [taylor]: Taking taylor expansion of PI in n 0.817 * [backup-simplify]: Simplify PI into PI 0.817 * [taylor]: Taking taylor expansion of n in n 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ PI 1) into PI 0.818 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.819 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.833 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.833 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.833 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.833 * [taylor]: Taking taylor expansion of -2 in n 0.833 * [backup-simplify]: Simplify -2 into -2 0.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.833 * [taylor]: Taking taylor expansion of PI in n 0.834 * [backup-simplify]: Simplify PI into PI 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (/ PI 1) into PI 0.834 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.834 * [taylor]: Taking taylor expansion of -2 in n 0.834 * [backup-simplify]: Simplify -2 into -2 0.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.834 * [taylor]: Taking taylor expansion of PI in n 0.834 * [backup-simplify]: Simplify PI into PI 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (/ PI 1) into PI 0.835 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.836 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.851 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.851 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.852 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.852 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.852 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.852 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.852 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.852 * [taylor]: Taking taylor expansion of 1/2 in k 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.852 * [taylor]: Taking taylor expansion of 1 in k 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of k in k 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.852 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.852 * [taylor]: Taking taylor expansion of 2 in k 0.852 * [backup-simplify]: Simplify 2 into 2 0.852 * [taylor]: Taking taylor expansion of (* n PI) in k 0.852 * [taylor]: Taking taylor expansion of n in k 0.852 * [backup-simplify]: Simplify n into n 0.852 * [taylor]: Taking taylor expansion of PI in k 0.852 * [backup-simplify]: Simplify PI into PI 0.852 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.852 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.852 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.854 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.854 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.854 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.854 * [taylor]: Taking taylor expansion of k in k 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [backup-simplify]: Simplify (sqrt 0) into 0 0.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.856 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.857 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.857 * [taylor]: Taking taylor expansion of 1/2 in n 0.857 * [backup-simplify]: Simplify 1/2 into 1/2 0.857 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.857 * [taylor]: Taking taylor expansion of 1 in n 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of k in n 0.857 * [backup-simplify]: Simplify k into k 0.857 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.857 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.857 * [taylor]: Taking taylor expansion of 2 in n 0.857 * [backup-simplify]: Simplify 2 into 2 0.857 * [taylor]: Taking taylor expansion of (* n PI) in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [backup-simplify]: Simplify PI into PI 0.858 * [backup-simplify]: Simplify (* 0 PI) into 0 0.858 * [backup-simplify]: Simplify (* 2 0) into 0 0.859 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.860 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.860 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.860 * [backup-simplify]: Simplify (- k) into (- k) 0.860 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.860 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.861 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.862 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.862 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.863 * [taylor]: Taking taylor expansion of k in n 0.863 * [backup-simplify]: Simplify k into k 0.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.863 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.863 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.863 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.863 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.863 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.863 * [taylor]: Taking taylor expansion of 1/2 in n 0.863 * [backup-simplify]: Simplify 1/2 into 1/2 0.863 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.863 * [taylor]: Taking taylor expansion of 1 in n 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of k in n 0.863 * [backup-simplify]: Simplify k into k 0.863 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.863 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.863 * [taylor]: Taking taylor expansion of 2 in n 0.863 * [backup-simplify]: Simplify 2 into 2 0.863 * [taylor]: Taking taylor expansion of (* n PI) in n 0.863 * [taylor]: Taking taylor expansion of n in n 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of PI in n 0.863 * [backup-simplify]: Simplify PI into PI 0.863 * [backup-simplify]: Simplify (* 0 PI) into 0 0.864 * [backup-simplify]: Simplify (* 2 0) into 0 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.865 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.866 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.866 * [backup-simplify]: Simplify (- k) into (- k) 0.866 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.866 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.867 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.868 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.868 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.868 * [taylor]: Taking taylor expansion of k in n 0.868 * [backup-simplify]: Simplify k into k 0.868 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.868 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.869 * [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))) 0.869 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.869 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.869 * [taylor]: Taking taylor expansion of 1/2 in k 0.869 * [backup-simplify]: Simplify 1/2 into 1/2 0.869 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.869 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.869 * [taylor]: Taking taylor expansion of 1 in k 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of k in k 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.869 * [taylor]: Taking taylor expansion of (log n) in k 0.870 * [taylor]: Taking taylor expansion of n in k 0.870 * [backup-simplify]: Simplify n into n 0.870 * [backup-simplify]: Simplify (log n) into (log n) 0.870 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.870 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.870 * [taylor]: Taking taylor expansion of 2 in k 0.870 * [backup-simplify]: Simplify 2 into 2 0.870 * [taylor]: Taking taylor expansion of PI in k 0.870 * [backup-simplify]: Simplify PI into PI 0.870 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.871 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify (+ 1 0) into 1 0.872 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.872 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.873 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.874 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.874 * [taylor]: Taking taylor expansion of k in k 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (sqrt 0) into 0 0.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.876 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.878 * [backup-simplify]: Simplify (- 0) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.879 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.880 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.881 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.882 * [taylor]: Taking taylor expansion of 0 in k 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.883 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (- 1) into -1 0.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.887 * [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))))) 0.890 * [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))))))) 0.894 * [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))))))) 0.895 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.902 * [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 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.907 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.909 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.911 * [taylor]: Taking taylor expansion of 0 in k 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.919 * [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 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.925 * [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))))) 0.935 * [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)))))))) 0.937 * [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)))))))) 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.942 * [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 0.943 * [backup-simplify]: Simplify (- 0) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.946 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.948 * [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 0.950 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.950 * [taylor]: Taking taylor expansion of 0 in k 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.958 * [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 0.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.965 * [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 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.977 * [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))))))) 0.987 * [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)))))))))))))) 0.994 * [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)))))))))))))) 1.005 * [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)))))))))))))))))))))) 1.006 * [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)) 1.006 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.006 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.006 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.007 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.007 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.007 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.007 * [taylor]: Taking taylor expansion of 1/2 in k 1.007 * [backup-simplify]: Simplify 1/2 into 1/2 1.007 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.007 * [taylor]: Taking taylor expansion of 1 in k 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.007 * [taylor]: Taking taylor expansion of k in k 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.007 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.007 * [taylor]: Taking taylor expansion of 2 in k 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.007 * [taylor]: Taking taylor expansion of PI in k 1.007 * [backup-simplify]: Simplify PI into PI 1.007 * [taylor]: Taking taylor expansion of n in k 1.008 * [backup-simplify]: Simplify n into n 1.008 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.008 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.008 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.008 * [backup-simplify]: Simplify (- 1) into -1 1.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.009 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.009 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.009 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.009 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.009 * [taylor]: Taking taylor expansion of k in k 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (sqrt 0) into 0 1.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.011 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.011 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.012 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.012 * [taylor]: Taking taylor expansion of 1/2 in n 1.012 * [backup-simplify]: Simplify 1/2 into 1/2 1.012 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.012 * [taylor]: Taking taylor expansion of 1 in n 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.012 * [taylor]: Taking taylor expansion of k in n 1.012 * [backup-simplify]: Simplify k into k 1.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.012 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.012 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.012 * [taylor]: Taking taylor expansion of 2 in n 1.012 * [backup-simplify]: Simplify 2 into 2 1.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.012 * [taylor]: Taking taylor expansion of PI in n 1.012 * [backup-simplify]: Simplify PI into PI 1.012 * [taylor]: Taking taylor expansion of n in n 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify (/ PI 1) into PI 1.013 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.014 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.014 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.014 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.014 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.017 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.018 * [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))))) 1.018 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.018 * [taylor]: Taking taylor expansion of k in n 1.018 * [backup-simplify]: Simplify k into k 1.018 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.018 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.018 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.018 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.018 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.018 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.018 * [taylor]: Taking taylor expansion of 1/2 in n 1.018 * [backup-simplify]: Simplify 1/2 into 1/2 1.018 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.018 * [taylor]: Taking taylor expansion of 1 in n 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.018 * [taylor]: Taking taylor expansion of k in n 1.019 * [backup-simplify]: Simplify k into k 1.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.019 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.019 * [taylor]: Taking taylor expansion of 2 in n 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [backup-simplify]: Simplify PI into PI 1.019 * [taylor]: Taking taylor expansion of n in n 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (/ PI 1) into PI 1.020 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.021 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.021 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.021 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.022 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.023 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.025 * [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))))) 1.025 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.025 * [taylor]: Taking taylor expansion of k in n 1.025 * [backup-simplify]: Simplify k into k 1.025 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.026 * [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)) 1.026 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.026 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.026 * [taylor]: Taking taylor expansion of 1/2 in k 1.026 * [backup-simplify]: Simplify 1/2 into 1/2 1.026 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.026 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.026 * [taylor]: Taking taylor expansion of 1 in k 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.026 * [taylor]: Taking taylor expansion of k in k 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.027 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.027 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.027 * [taylor]: Taking taylor expansion of 2 in k 1.027 * [backup-simplify]: Simplify 2 into 2 1.027 * [taylor]: Taking taylor expansion of PI in k 1.027 * [backup-simplify]: Simplify PI into PI 1.027 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.028 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.028 * [taylor]: Taking taylor expansion of (log n) in k 1.028 * [taylor]: Taking taylor expansion of n in k 1.029 * [backup-simplify]: Simplify n into n 1.029 * [backup-simplify]: Simplify (log n) into (log n) 1.029 * [backup-simplify]: Simplify (- 1) into -1 1.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.029 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.030 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.031 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.032 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.034 * [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))))) 1.034 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.034 * [taylor]: Taking taylor expansion of k in k 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (sqrt 0) into 0 1.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.037 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.050 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.052 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.054 * [taylor]: Taking taylor expansion of 0 in k 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 0 into 0 1.055 * [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))))))) 1.057 * [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))))))) 1.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.064 * [backup-simplify]: Simplify (- 0) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.068 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.071 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in k 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.077 * [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))))))) 1.078 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.087 * [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 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.092 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.095 * [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 1.097 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in k 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.102 * [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))))))) 1.104 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.108 * [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)))))))) 1.108 * [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))) 1.108 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.108 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.109 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.109 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.109 * [taylor]: Taking taylor expansion of 1/2 in k 1.109 * [backup-simplify]: Simplify 1/2 into 1/2 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.109 * [taylor]: Taking taylor expansion of k in k 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of 1 in k 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.109 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.109 * [taylor]: Taking taylor expansion of -2 in k 1.109 * [backup-simplify]: Simplify -2 into -2 1.109 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.109 * [taylor]: Taking taylor expansion of PI in k 1.109 * [backup-simplify]: Simplify PI into PI 1.109 * [taylor]: Taking taylor expansion of n in k 1.109 * [backup-simplify]: Simplify n into n 1.110 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.110 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.110 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.110 * [backup-simplify]: Simplify (+ 1 0) into 1 1.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.111 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.111 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.111 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.111 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.111 * [taylor]: Taking taylor expansion of -1 in k 1.111 * [backup-simplify]: Simplify -1 into -1 1.111 * [taylor]: Taking taylor expansion of k in k 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ -1 1) into -1 1.112 * [backup-simplify]: Simplify (sqrt 0) into 0 1.113 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.113 * [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))))) 1.113 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.113 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.113 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.114 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.114 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.114 * [taylor]: Taking taylor expansion of 1/2 in n 1.114 * [backup-simplify]: Simplify 1/2 into 1/2 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.114 * [taylor]: Taking taylor expansion of k in n 1.114 * [backup-simplify]: Simplify k into k 1.114 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.114 * [taylor]: Taking taylor expansion of 1 in n 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.114 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.114 * [taylor]: Taking taylor expansion of -2 in n 1.114 * [backup-simplify]: Simplify -2 into -2 1.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.114 * [taylor]: Taking taylor expansion of PI in n 1.114 * [backup-simplify]: Simplify PI into PI 1.114 * [taylor]: Taking taylor expansion of n in n 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ PI 1) into PI 1.115 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.116 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.116 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.116 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.119 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.120 * [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))))) 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.120 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.120 * [taylor]: Taking taylor expansion of -1 in n 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of k in n 1.120 * [backup-simplify]: Simplify k into k 1.120 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.120 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.120 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.121 * [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))) 1.121 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.121 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.121 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.121 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.121 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.122 * [taylor]: Taking taylor expansion of 1/2 in n 1.122 * [backup-simplify]: Simplify 1/2 into 1/2 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.122 * [taylor]: Taking taylor expansion of k in n 1.122 * [backup-simplify]: Simplify k into k 1.122 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.122 * [taylor]: Taking taylor expansion of 1 in n 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.122 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.122 * [taylor]: Taking taylor expansion of -2 in n 1.122 * [backup-simplify]: Simplify -2 into -2 1.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.122 * [taylor]: Taking taylor expansion of PI in n 1.122 * [backup-simplify]: Simplify PI into PI 1.122 * [taylor]: Taking taylor expansion of n in n 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ PI 1) into PI 1.123 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.124 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.125 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.125 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.126 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.127 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.128 * [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))))) 1.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.128 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.128 * [taylor]: Taking taylor expansion of -1 in n 1.128 * [backup-simplify]: Simplify -1 into -1 1.128 * [taylor]: Taking taylor expansion of k in n 1.128 * [backup-simplify]: Simplify k into k 1.128 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.128 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.129 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.130 * [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))) 1.130 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.130 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.130 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.130 * [taylor]: Taking taylor expansion of 1/2 in k 1.130 * [backup-simplify]: Simplify 1/2 into 1/2 1.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.130 * [taylor]: Taking taylor expansion of k in k 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of 1 in k 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.131 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.131 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.131 * [taylor]: Taking taylor expansion of -2 in k 1.131 * [backup-simplify]: Simplify -2 into -2 1.131 * [taylor]: Taking taylor expansion of PI in k 1.131 * [backup-simplify]: Simplify PI into PI 1.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.132 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.132 * [taylor]: Taking taylor expansion of (log n) in k 1.132 * [taylor]: Taking taylor expansion of n in k 1.132 * [backup-simplify]: Simplify n into n 1.132 * [backup-simplify]: Simplify (log n) into (log n) 1.133 * [backup-simplify]: Simplify (+ 1 0) into 1 1.133 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.134 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.135 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.136 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.137 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.137 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.137 * [taylor]: Taking taylor expansion of -1 in k 1.137 * [backup-simplify]: Simplify -1 into -1 1.137 * [taylor]: Taking taylor expansion of k in k 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (/ -1 1) into -1 1.138 * [backup-simplify]: Simplify (sqrt 0) into 0 1.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.140 * [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)))))) 1.142 * [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)))))) 1.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.146 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.148 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.150 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.152 * [taylor]: Taking taylor expansion of 0 in k 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.158 * [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))))))) 1.159 * [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))))))) 1.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.169 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.171 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) 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)))) (* 0 (/ 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 into 0 1.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.182 * [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))))))) 1.187 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.189 * [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)))))))))))) 1.190 * * * [progress]: simplifying candidates 1.190 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.190 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.190 * * [simplify]: iters left: 6 (13 enodes) 1.194 * * [simplify]: iters left: 5 (54 enodes) 1.203 * * [simplify]: iters left: 4 (97 enodes) 1.234 * * [simplify]: iters left: 3 (242 enodes) 1.304 * * [simplify]: Extracting #0: cost 1 inf + 0 1.305 * * [simplify]: Extracting #1: cost 28 inf + 0 1.305 * * [simplify]: Extracting #2: cost 93 inf + 2 1.305 * * [simplify]: Extracting #3: cost 139 inf + 75 1.306 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.311 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.320 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.332 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.332 * [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))) 1.333 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.333 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.333 * * [simplify]: iters left: 6 (12 enodes) 1.341 * * [simplify]: iters left: 5 (52 enodes) 1.358 * * [simplify]: iters left: 4 (90 enodes) 1.394 * * [simplify]: iters left: 3 (201 enodes) 1.461 * * [simplify]: iters left: 2 (496 enodes) 1.782 * * [simplify]: Extracting #0: cost 1 inf + 0 1.782 * * [simplify]: Extracting #1: cost 22 inf + 0 1.782 * * [simplify]: Extracting #2: cost 122 inf + 2 1.784 * * [simplify]: Extracting #3: cost 296 inf + 186 1.786 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.795 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.811 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.831 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.868 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.868 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.868 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.869 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.869 * * [simplify]: iters left: 6 (11 enodes) 1.873 * * [simplify]: iters left: 5 (51 enodes) 1.882 * * [simplify]: iters left: 4 (97 enodes) 1.900 * * [simplify]: iters left: 3 (197 enodes) 1.948 * * [simplify]: iters left: 2 (491 enodes) 2.271 * * [simplify]: Extracting #0: cost 1 inf + 0 2.271 * * [simplify]: Extracting #1: cost 27 inf + 0 2.272 * * [simplify]: Extracting #2: cost 139 inf + 2 2.274 * * [simplify]: Extracting #3: cost 300 inf + 382 2.279 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.304 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.334 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.359 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.375 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.375 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.375 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.375 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.376 * [simplify]: Simplifying (* n (* 2 PI)) 2.376 * * [simplify]: iters left: 4 (5 enodes) 2.378 * * [simplify]: iters left: 3 (19 enodes) 2.381 * * [simplify]: iters left: 2 (27 enodes) 2.385 * * [simplify]: iters left: 1 (32 enodes) 2.389 * * [simplify]: Extracting #0: cost 1 inf + 0 2.389 * * [simplify]: Extracting #1: cost 8 inf + 0 2.389 * * [simplify]: Extracting #2: cost 7 inf + 45 2.389 * * [simplify]: Extracting #3: cost 0 inf + 421 2.389 * [simplify]: Simplified to (* (* PI 2) n) 2.389 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.390 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.390 * [simplify]: Simplifying (* n (* 2 PI)) 2.390 * * [simplify]: iters left: 4 (5 enodes) 2.391 * * [simplify]: iters left: 3 (19 enodes) 2.395 * * [simplify]: iters left: 2 (27 enodes) 2.403 * * [simplify]: iters left: 1 (32 enodes) 2.414 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 8 inf + 0 2.414 * * [simplify]: Extracting #2: cost 7 inf + 45 2.414 * * [simplify]: Extracting #3: cost 0 inf + 421 2.414 * [simplify]: Simplified to (* (* PI 2) n) 2.414 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.415 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.415 * [simplify]: Simplifying (* n (* 2 PI)) 2.415 * * [simplify]: iters left: 4 (5 enodes) 2.418 * * [simplify]: iters left: 3 (19 enodes) 2.424 * * [simplify]: iters left: 2 (27 enodes) 2.433 * * [simplify]: iters left: 1 (32 enodes) 2.441 * * [simplify]: Extracting #0: cost 1 inf + 0 2.441 * * [simplify]: Extracting #1: cost 8 inf + 0 2.441 * * [simplify]: Extracting #2: cost 7 inf + 45 2.441 * * [simplify]: Extracting #3: cost 0 inf + 421 2.442 * [simplify]: Simplified to (* (* PI 2) n) 2.442 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.442 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.442 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.442 * * [simplify]: iters left: 5 (8 enodes) 2.447 * * [simplify]: iters left: 4 (31 enodes) 2.457 * * [simplify]: iters left: 3 (51 enodes) 2.474 * * [simplify]: iters left: 2 (85 enodes) 2.493 * * [simplify]: iters left: 1 (152 enodes) 2.531 * * [simplify]: Extracting #0: cost 1 inf + 0 2.531 * * [simplify]: Extracting #1: cost 13 inf + 0 2.531 * * [simplify]: Extracting #2: cost 59 inf + 1 2.532 * * [simplify]: Extracting #3: cost 76 inf + 9 2.536 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.539 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.544 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.549 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.555 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.555 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.555 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.555 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.555 * * [simplify]: iters left: 5 (6 enodes) 2.560 * * [simplify]: iters left: 4 (26 enodes) 2.569 * * [simplify]: iters left: 3 (35 enodes) 2.577 * * [simplify]: Extracting #0: cost 1 inf + 0 2.577 * * [simplify]: Extracting #1: cost 3 inf + 0 2.577 * * [simplify]: Extracting #2: cost 8 inf + 0 2.577 * * [simplify]: Extracting #3: cost 11 inf + 2 2.577 * * [simplify]: Extracting #4: cost 8 inf + 87 2.577 * * [simplify]: Extracting #5: cost 2 inf + 500 2.578 * * [simplify]: Extracting #6: cost 0 inf + 746 2.578 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.578 * [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))) 2.578 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.578 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.578 * * [simplify]: iters left: 5 (6 enodes) 2.580 * * [simplify]: iters left: 4 (26 enodes) 2.585 * * [simplify]: iters left: 3 (35 enodes) 2.590 * * [simplify]: Extracting #0: cost 1 inf + 0 2.590 * * [simplify]: Extracting #1: cost 3 inf + 0 2.590 * * [simplify]: Extracting #2: cost 8 inf + 0 2.590 * * [simplify]: Extracting #3: cost 11 inf + 2 2.590 * * [simplify]: Extracting #4: cost 8 inf + 87 2.590 * * [simplify]: Extracting #5: cost 2 inf + 460 2.591 * * [simplify]: Extracting #6: cost 0 inf + 666 2.591 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.591 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.591 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.591 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.591 * * [simplify]: iters left: 5 (7 enodes) 2.593 * * [simplify]: iters left: 4 (25 enodes) 2.598 * * [simplify]: iters left: 3 (30 enodes) 2.603 * * [simplify]: Extracting #0: cost 1 inf + 0 2.603 * * [simplify]: Extracting #1: cost 4 inf + 0 2.603 * * [simplify]: Extracting #2: cost 8 inf + 0 2.603 * * [simplify]: Extracting #3: cost 10 inf + 82 2.603 * * [simplify]: Extracting #4: cost 7 inf + 206 2.604 * * [simplify]: Extracting #5: cost 2 inf + 575 2.604 * * [simplify]: Extracting #6: cost 1 inf + 818 2.604 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.604 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.604 * [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))) 2.605 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.605 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.605 * * [simplify]: iters left: 5 (7 enodes) 2.609 * * [simplify]: iters left: 4 (25 enodes) 2.618 * * [simplify]: iters left: 3 (30 enodes) 2.627 * * [simplify]: Extracting #0: cost 1 inf + 0 2.628 * * [simplify]: Extracting #1: cost 4 inf + 0 2.628 * * [simplify]: Extracting #2: cost 8 inf + 0 2.628 * * [simplify]: Extracting #3: cost 10 inf + 42 2.628 * * [simplify]: Extracting #4: cost 7 inf + 126 2.628 * * [simplify]: Extracting #5: cost 2 inf + 495 2.628 * * [simplify]: Extracting #6: cost 1 inf + 698 2.629 * * [simplify]: Extracting #7: cost 0 inf + 901 2.629 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.629 * [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))) 2.629 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.629 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.630 * * [simplify]: iters left: 5 (6 enodes) 2.633 * * [simplify]: iters left: 4 (22 enodes) 2.641 * * [simplify]: iters left: 3 (27 enodes) 2.649 * * [simplify]: Extracting #0: cost 1 inf + 0 2.649 * * [simplify]: Extracting #1: cost 4 inf + 0 2.649 * * [simplify]: Extracting #2: cost 5 inf + 1 2.649 * * [simplify]: Extracting #3: cost 9 inf + 1 2.649 * * [simplify]: Extracting #4: cost 8 inf + 3 2.649 * * [simplify]: Extracting #5: cost 4 inf + 169 2.649 * * [simplify]: Extracting #6: cost 1 inf + 576 2.650 * * [simplify]: Extracting #7: cost 0 inf + 739 2.650 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.650 * [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))) 2.650 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.651 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.651 * * [simplify]: iters left: 5 (7 enodes) 2.655 * * [simplify]: iters left: 4 (25 enodes) 2.664 * * [simplify]: iters left: 3 (30 enodes) 2.675 * * [simplify]: Extracting #0: cost 1 inf + 0 2.675 * * [simplify]: Extracting #1: cost 4 inf + 0 2.675 * * [simplify]: Extracting #2: cost 8 inf + 0 2.676 * * [simplify]: Extracting #3: cost 10 inf + 82 2.676 * * [simplify]: Extracting #4: cost 7 inf + 206 2.676 * * [simplify]: Extracting #5: cost 2 inf + 495 2.676 * * [simplify]: Extracting #6: cost 1 inf + 698 2.676 * * [simplify]: Extracting #7: cost 0 inf + 901 2.677 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.677 * [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))) 2.677 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.677 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.677 * * [simplify]: iters left: 5 (7 enodes) 2.682 * * [simplify]: iters left: 4 (25 enodes) 2.691 * * [simplify]: iters left: 3 (30 enodes) 2.700 * * [simplify]: Extracting #0: cost 1 inf + 0 2.700 * * [simplify]: Extracting #1: cost 4 inf + 0 2.701 * * [simplify]: Extracting #2: cost 8 inf + 0 2.701 * * [simplify]: Extracting #3: cost 10 inf + 42 2.701 * * [simplify]: Extracting #4: cost 7 inf + 126 2.701 * * [simplify]: Extracting #5: cost 2 inf + 415 2.701 * * [simplify]: Extracting #6: cost 1 inf + 578 2.702 * * [simplify]: Extracting #7: cost 0 inf + 741 2.702 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.702 * [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))) 2.702 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.702 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.703 * * [simplify]: iters left: 5 (6 enodes) 2.706 * * [simplify]: iters left: 4 (22 enodes) 2.714 * * [simplify]: iters left: 3 (27 enodes) 2.722 * * [simplify]: Extracting #0: cost 1 inf + 0 2.722 * * [simplify]: Extracting #1: cost 4 inf + 0 2.722 * * [simplify]: Extracting #2: cost 5 inf + 1 2.722 * * [simplify]: Extracting #3: cost 9 inf + 1 2.722 * * [simplify]: Extracting #4: cost 8 inf + 3 2.723 * * [simplify]: Extracting #5: cost 4 inf + 169 2.723 * * [simplify]: Extracting #6: cost 1 inf + 456 2.723 * * [simplify]: Extracting #7: cost 0 inf + 579 2.723 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.724 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.724 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.724 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.724 * * [simplify]: iters left: 4 (6 enodes) 2.728 * * [simplify]: iters left: 3 (25 enodes) 2.737 * * [simplify]: iters left: 2 (36 enodes) 2.749 * * [simplify]: iters left: 1 (40 enodes) 2.761 * * [simplify]: Extracting #0: cost 1 inf + 0 2.761 * * [simplify]: Extracting #1: cost 7 inf + 0 2.761 * * [simplify]: Extracting #2: cost 16 inf + 0 2.762 * * [simplify]: Extracting #3: cost 13 inf + 44 2.762 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.762 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.763 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.763 * [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))) 2.763 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.763 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.763 * * [simplify]: iters left: 4 (6 enodes) 2.768 * * [simplify]: iters left: 3 (25 enodes) 2.774 * * [simplify]: iters left: 2 (36 enodes) 2.780 * * [simplify]: iters left: 1 (40 enodes) 2.786 * * [simplify]: Extracting #0: cost 1 inf + 0 2.786 * * [simplify]: Extracting #1: cost 7 inf + 0 2.786 * * [simplify]: Extracting #2: cost 16 inf + 0 2.786 * * [simplify]: Extracting #3: cost 13 inf + 44 2.786 * * [simplify]: Extracting #4: cost 3 inf + 823 2.787 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.787 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.787 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.787 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.787 * [simplify]: Simplifying (/ (- 1 k) 2) 2.787 * * [simplify]: iters left: 4 (5 enodes) 2.789 * * [simplify]: iters left: 3 (23 enodes) 2.794 * * [simplify]: iters left: 2 (32 enodes) 2.799 * * [simplify]: Extracting #0: cost 1 inf + 0 2.799 * * [simplify]: Extracting #1: cost 6 inf + 0 2.799 * * [simplify]: Extracting #2: cost 9 inf + 2 2.799 * * [simplify]: Extracting #3: cost 6 inf + 87 2.799 * * [simplify]: Extracting #4: cost 0 inf + 420 2.800 * [simplify]: Simplified to (/ (- 1 k) 2) 2.800 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.800 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.800 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.800 * * [simplify]: iters left: 5 (8 enodes) 2.806 * * [simplify]: iters left: 4 (31 enodes) 2.817 * * [simplify]: iters left: 3 (45 enodes) 2.831 * * [simplify]: iters left: 2 (51 enodes) 2.845 * * [simplify]: iters left: 1 (52 enodes) 2.853 * * [simplify]: Extracting #0: cost 1 inf + 0 2.853 * * [simplify]: Extracting #1: cost 8 inf + 0 2.853 * * [simplify]: Extracting #2: cost 18 inf + 0 2.853 * * [simplify]: Extracting #3: cost 19 inf + 2 2.854 * * [simplify]: Extracting #4: cost 9 inf + 977 2.854 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.854 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.855 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.855 * [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))) 2.855 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.855 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.855 * * [simplify]: iters left: 5 (8 enodes) 2.858 * * [simplify]: iters left: 4 (31 enodes) 2.863 * * [simplify]: iters left: 3 (45 enodes) 2.870 * * [simplify]: iters left: 2 (51 enodes) 2.878 * * [simplify]: iters left: 1 (52 enodes) 2.892 * * [simplify]: Extracting #0: cost 1 inf + 0 2.892 * * [simplify]: Extracting #1: cost 8 inf + 0 2.892 * * [simplify]: Extracting #2: cost 18 inf + 0 2.892 * * [simplify]: Extracting #3: cost 19 inf + 2 2.893 * * [simplify]: Extracting #4: cost 9 inf + 697 2.893 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.894 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.894 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.894 * [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))) 2.895 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.895 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.895 * * [simplify]: iters left: 5 (7 enodes) 2.900 * * [simplify]: iters left: 4 (29 enodes) 2.910 * * [simplify]: iters left: 3 (43 enodes) 2.916 * * [simplify]: iters left: 2 (47 enodes) 2.923 * * [simplify]: Extracting #0: cost 1 inf + 0 2.923 * * [simplify]: Extracting #1: cost 7 inf + 0 2.923 * * [simplify]: Extracting #2: cost 11 inf + 2 2.923 * * [simplify]: Extracting #3: cost 13 inf + 3 2.923 * * [simplify]: Extracting #4: cost 11 inf + 45 2.923 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.924 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.924 * [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))) 2.924 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.924 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.924 * * [simplify]: iters left: 5 (7 enodes) 2.928 * * [simplify]: iters left: 4 (28 enodes) 2.934 * * [simplify]: iters left: 3 (39 enodes) 2.940 * * [simplify]: iters left: 2 (43 enodes) 2.946 * * [simplify]: Extracting #0: cost 1 inf + 0 2.946 * * [simplify]: Extracting #1: cost 7 inf + 0 2.947 * * [simplify]: Extracting #2: cost 16 inf + 0 2.947 * * [simplify]: Extracting #3: cost 15 inf + 164 2.947 * * [simplify]: Extracting #4: cost 13 inf + 287 2.947 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.947 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.947 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.948 * [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))) 2.948 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.948 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.948 * * [simplify]: iters left: 5 (7 enodes) 2.950 * * [simplify]: iters left: 4 (28 enodes) 2.960 * * [simplify]: iters left: 3 (39 enodes) 2.968 * * [simplify]: iters left: 2 (43 enodes) 2.975 * * [simplify]: Extracting #0: cost 1 inf + 0 2.975 * * [simplify]: Extracting #1: cost 7 inf + 0 2.975 * * [simplify]: Extracting #2: cost 16 inf + 0 2.975 * * [simplify]: Extracting #3: cost 15 inf + 84 2.975 * * [simplify]: Extracting #4: cost 13 inf + 167 2.975 * * [simplify]: Extracting #5: cost 5 inf + 900 2.975 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.976 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.976 * [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))) 2.976 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.976 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.976 * * [simplify]: iters left: 5 (6 enodes) 2.978 * * [simplify]: iters left: 4 (26 enodes) 2.983 * * [simplify]: iters left: 3 (35 enodes) 2.989 * * [simplify]: Extracting #0: cost 1 inf + 0 2.989 * * [simplify]: Extracting #1: cost 6 inf + 0 2.989 * * [simplify]: Extracting #2: cost 9 inf + 2 2.989 * * [simplify]: Extracting #3: cost 11 inf + 3 2.989 * * [simplify]: Extracting #4: cost 10 inf + 4 2.989 * * [simplify]: Extracting #5: cost 3 inf + 535 2.989 * * [simplify]: Extracting #6: cost 0 inf + 822 2.990 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.990 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.990 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.990 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.990 * * [simplify]: iters left: 4 (6 enodes) 2.992 * * [simplify]: iters left: 3 (25 enodes) 2.997 * * [simplify]: iters left: 2 (36 enodes) 3.008 * * [simplify]: iters left: 1 (40 enodes) 3.020 * * [simplify]: Extracting #0: cost 1 inf + 0 3.020 * * [simplify]: Extracting #1: cost 7 inf + 0 3.020 * * [simplify]: Extracting #2: cost 16 inf + 0 3.020 * * [simplify]: Extracting #3: cost 13 inf + 44 3.021 * * [simplify]: Extracting #4: cost 3 inf + 1103 3.021 * * [simplify]: Extracting #5: cost 0 inf + 1469 3.021 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 3.022 * [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))) 3.022 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 3.022 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 3.022 * * [simplify]: iters left: 4 (6 enodes) 3.026 * * [simplify]: iters left: 3 (25 enodes) 3.036 * * [simplify]: iters left: 2 (36 enodes) 3.051 * * [simplify]: iters left: 1 (40 enodes) 3.063 * * [simplify]: Extracting #0: cost 1 inf + 0 3.063 * * [simplify]: Extracting #1: cost 7 inf + 0 3.063 * * [simplify]: Extracting #2: cost 16 inf + 0 3.064 * * [simplify]: Extracting #3: cost 13 inf + 44 3.064 * * [simplify]: Extracting #4: cost 3 inf + 823 3.064 * * [simplify]: Extracting #5: cost 0 inf + 1069 3.065 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 3.065 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 3.065 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 3.065 * [simplify]: Simplifying (/ (- 1 k) 2) 3.066 * * [simplify]: iters left: 4 (5 enodes) 3.069 * * [simplify]: iters left: 3 (23 enodes) 3.078 * * [simplify]: iters left: 2 (32 enodes) 3.088 * * [simplify]: Extracting #0: cost 1 inf + 0 3.088 * * [simplify]: Extracting #1: cost 6 inf + 0 3.088 * * [simplify]: Extracting #2: cost 9 inf + 2 3.088 * * [simplify]: Extracting #3: cost 6 inf + 87 3.088 * * [simplify]: Extracting #4: cost 0 inf + 420 3.088 * [simplify]: Simplified to (/ (- 1 k) 2) 3.088 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 3.088 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 3.089 * [simplify]: Simplifying (/ (- 1 k) 2) 3.089 * * [simplify]: iters left: 4 (5 enodes) 3.093 * * [simplify]: iters left: 3 (23 enodes) 3.098 * * [simplify]: iters left: 2 (32 enodes) 3.102 * * [simplify]: Extracting #0: cost 1 inf + 0 3.103 * * [simplify]: Extracting #1: cost 6 inf + 0 3.103 * * [simplify]: Extracting #2: cost 9 inf + 2 3.103 * * [simplify]: Extracting #3: cost 6 inf + 87 3.103 * * [simplify]: Extracting #4: cost 0 inf + 420 3.103 * [simplify]: Simplified to (/ (- 1 k) 2) 3.103 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 3.103 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 3.103 * [simplify]: Simplifying (/ 1 2) 3.103 * * [simplify]: iters left: 2 (3 enodes) 3.105 * * [simplify]: iters left: 1 (12 enodes) 3.107 * * [simplify]: Extracting #0: cost 1 inf + 0 3.107 * * [simplify]: Extracting #1: cost 0 inf + 1 3.107 * [simplify]: Simplified to 1/2 3.107 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 3.107 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 3.108 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 3.108 * * [simplify]: iters left: 5 (7 enodes) 3.110 * * [simplify]: iters left: 4 (32 enodes) 3.116 * * [simplify]: iters left: 3 (57 enodes) 3.129 * * [simplify]: iters left: 2 (88 enodes) 3.158 * * [simplify]: iters left: 1 (156 enodes) 3.204 * * [simplify]: Extracting #0: cost 1 inf + 0 3.204 * * [simplify]: Extracting #1: cost 13 inf + 0 3.205 * * [simplify]: Extracting #2: cost 49 inf + 2 3.205 * * [simplify]: Extracting #3: cost 80 inf + 6 3.206 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.209 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.214 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.217 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.220 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.223 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.223 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.223 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.224 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.224 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.224 * [simplify]: Simplifying (* n (* 2 PI)) 3.224 * * [simplify]: iters left: 4 (5 enodes) 3.226 * * [simplify]: iters left: 3 (19 enodes) 3.229 * * [simplify]: iters left: 2 (27 enodes) 3.233 * * [simplify]: iters left: 1 (32 enodes) 3.237 * * [simplify]: Extracting #0: cost 1 inf + 0 3.237 * * [simplify]: Extracting #1: cost 8 inf + 0 3.237 * * [simplify]: Extracting #2: cost 7 inf + 45 3.237 * * [simplify]: Extracting #3: cost 0 inf + 421 3.238 * [simplify]: Simplified to (* (* PI 2) n) 3.238 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.238 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.238 * [simplify]: Simplifying (* n (* 2 PI)) 3.238 * * [simplify]: iters left: 4 (5 enodes) 3.239 * * [simplify]: iters left: 3 (19 enodes) 3.242 * * [simplify]: iters left: 2 (27 enodes) 3.250 * * [simplify]: iters left: 1 (32 enodes) 3.259 * * [simplify]: Extracting #0: cost 1 inf + 0 3.259 * * [simplify]: Extracting #1: cost 8 inf + 0 3.259 * * [simplify]: Extracting #2: cost 7 inf + 45 3.259 * * [simplify]: Extracting #3: cost 0 inf + 421 3.259 * [simplify]: Simplified to (* (* PI 2) n) 3.260 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.260 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.260 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.260 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.260 * * [simplify]: iters left: 5 (8 enodes) 3.264 * * [simplify]: iters left: 4 (28 enodes) 3.273 * * [simplify]: iters left: 3 (36 enodes) 3.287 * * [simplify]: iters left: 2 (42 enodes) 3.299 * * [simplify]: Extracting #0: cost 1 inf + 0 3.299 * * [simplify]: Extracting #1: cost 8 inf + 0 3.299 * * [simplify]: Extracting #2: cost 17 inf + 0 3.299 * * [simplify]: Extracting #3: cost 12 inf + 145 3.300 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.300 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.301 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.301 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.302 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.302 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.302 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.302 * * [simplify]: iters left: 5 (7 enodes) 3.304 * * [simplify]: iters left: 4 (26 enodes) 3.309 * * [simplify]: iters left: 3 (35 enodes) 3.314 * * [simplify]: iters left: 2 (44 enodes) 3.321 * * [simplify]: Extracting #0: cost 1 inf + 0 3.321 * * [simplify]: Extracting #1: cost 8 inf + 0 3.321 * * [simplify]: Extracting #2: cost 18 inf + 0 3.321 * * [simplify]: Extracting #3: cost 15 inf + 74 3.321 * * [simplify]: Extracting #4: cost 8 inf + 554 3.321 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.321 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.322 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.322 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.322 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.322 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.322 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.322 * * [simplify]: iters left: 6 (11 enodes) 3.326 * * [simplify]: iters left: 5 (48 enodes) 3.338 * * [simplify]: iters left: 4 (121 enodes) 3.387 * * [simplify]: iters left: 3 (348 enodes) 3.600 * * [simplify]: Extracting #0: cost 1 inf + 0 3.600 * * [simplify]: Extracting #1: cost 67 inf + 0 3.601 * * [simplify]: Extracting #2: cost 165 inf + 786 3.604 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.610 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.619 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.636 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.649 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.649 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.649 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.649 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.649 * * [simplify]: iters left: 6 (9 enodes) 3.655 * * [simplify]: iters left: 5 (45 enodes) 3.670 * * [simplify]: iters left: 4 (117 enodes) 3.714 * * [simplify]: iters left: 3 (374 enodes) 4.064 * * [simplify]: Extracting #0: cost 1 inf + 0 4.064 * * [simplify]: Extracting #1: cost 77 inf + 0 4.065 * * [simplify]: Extracting #2: cost 184 inf + 984 4.069 * * [simplify]: Extracting #3: cost 106 inf + 11690 4.077 * * [simplify]: Extracting #4: cost 6 inf + 30376 4.091 * * [simplify]: Extracting #5: cost 0 inf + 31644 4.107 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 4.107 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 4.107 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 4.107 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 4.107 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 4.107 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 4.107 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 4.108 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 4.108 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 4.108 * * [simplify]: iters left: 3 (3 enodes) 4.109 * * [simplify]: iters left: 2 (9 enodes) 4.112 * * [simplify]: Extracting #0: cost 1 inf + 0 4.112 * * [simplify]: Extracting #1: cost 3 inf + 0 4.112 * * [simplify]: Extracting #2: cost 5 inf + 0 4.112 * * [simplify]: Extracting #3: cost 4 inf + 1 4.112 * * [simplify]: Extracting #4: cost 0 inf + 405 4.112 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 4.112 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.112 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 4.113 * [simplify]: Simplifying (sqrt n) 4.113 * * [simplify]: iters left: 1 (2 enodes) 4.114 * * [simplify]: Extracting #0: cost 1 inf + 0 4.114 * * [simplify]: Extracting #1: cost 3 inf + 0 4.114 * * [simplify]: Extracting #2: cost 2 inf + 1 4.114 * * [simplify]: Extracting #3: cost 0 inf + 83 4.114 * [simplify]: Simplified to (sqrt n) 4.114 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 4.114 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 4.114 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 4.114 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 4.114 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 4.114 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 4.115 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.115 * * [simplify]: iters left: 6 (16 enodes) 4.124 * * [simplify]: iters left: 5 (65 enodes) 4.145 * * [simplify]: iters left: 4 (111 enodes) 4.194 * * [simplify]: iters left: 3 (294 enodes) 4.338 * * [simplify]: Extracting #0: cost 1 inf + 0 4.339 * * [simplify]: Extracting #1: cost 32 inf + 0 4.339 * * [simplify]: Extracting #2: cost 82 inf + 0 4.340 * * [simplify]: Extracting #3: cost 145 inf + 73 4.341 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.354 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.368 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.376 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.385 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.385 * [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))))) 4.385 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.385 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.386 * * [simplify]: iters left: 6 (15 enodes) 4.390 * * [simplify]: iters left: 5 (63 enodes) 4.401 * * [simplify]: iters left: 4 (104 enodes) 4.422 * * [simplify]: iters left: 3 (238 enodes) 4.520 * * [simplify]: Extracting #0: cost 1 inf + 0 4.520 * * [simplify]: Extracting #1: cost 30 inf + 0 4.520 * * [simplify]: Extracting #2: cost 78 inf + 0 4.521 * * [simplify]: Extracting #3: cost 131 inf + 73 4.521 * * [simplify]: Extracting #4: cost 147 inf + 821 4.524 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.530 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.540 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.549 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.549 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.549 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.549 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.549 * * [simplify]: iters left: 6 (14 enodes) 4.557 * * [simplify]: iters left: 5 (62 enodes) 4.570 * * [simplify]: iters left: 4 (111 enodes) 4.590 * * [simplify]: iters left: 3 (223 enodes) 4.666 * * [simplify]: Extracting #0: cost 1 inf + 0 4.666 * * [simplify]: Extracting #1: cost 19 inf + 0 4.667 * * [simplify]: Extracting #2: cost 67 inf + 0 4.667 * * [simplify]: Extracting #3: cost 123 inf + 2 4.669 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.676 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.688 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.701 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.701 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.701 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.702 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.702 * * [simplify]: iters left: 6 (14 enodes) 4.710 * * [simplify]: iters left: 5 (62 enodes) 4.731 * * [simplify]: iters left: 4 (111 enodes) 4.776 * * [simplify]: iters left: 3 (223 enodes) 4.848 * * [simplify]: Extracting #0: cost 1 inf + 0 4.848 * * [simplify]: Extracting #1: cost 19 inf + 0 4.849 * * [simplify]: Extracting #2: cost 67 inf + 0 4.849 * * [simplify]: Extracting #3: cost 123 inf + 2 4.850 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.854 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.860 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.872 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.872 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.873 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.873 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.873 * * [simplify]: iters left: 6 (14 enodes) 4.882 * * [simplify]: iters left: 5 (61 enodes) 4.903 * * [simplify]: iters left: 4 (111 enodes) 4.924 * * [simplify]: iters left: 3 (218 enodes) 4.991 * * [simplify]: Extracting #0: cost 1 inf + 0 4.991 * * [simplify]: Extracting #1: cost 20 inf + 0 4.991 * * [simplify]: Extracting #2: cost 94 inf + 0 4.992 * * [simplify]: Extracting #3: cost 167 inf + 2 4.993 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.995 * * [simplify]: Extracting #5: cost 76 inf + 17725 5.004 * * [simplify]: Extracting #6: cost 9 inf + 35809 5.016 * * [simplify]: Extracting #7: cost 0 inf + 40227 5.023 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 5.023 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 5.023 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 5.023 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 5.023 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 5.023 * [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))) 5.023 * * [simplify]: iters left: 6 (16 enodes) 5.029 * * [simplify]: iters left: 5 (72 enodes) 5.042 * * [simplify]: iters left: 4 (165 enodes) 5.101 * * [simplify]: iters left: 3 (474 enodes) 5.377 * * [simplify]: Extracting #0: cost 1 inf + 0 5.378 * * [simplify]: Extracting #1: cost 172 inf + 0 5.381 * * [simplify]: Extracting #2: cost 449 inf + 1 5.391 * * [simplify]: Extracting #3: cost 500 inf + 248 5.396 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.410 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.456 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.522 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.585 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.662 * [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)))) 5.662 * [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)))))) 5.662 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.662 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.662 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.662 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.662 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.663 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.663 * * [simplify]: iters left: 6 (11 enodes) 5.668 * * [simplify]: iters left: 5 (46 enodes) 5.677 * * [simplify]: iters left: 4 (79 enodes) 5.691 * * [simplify]: iters left: 3 (135 enodes) 5.738 * * [simplify]: iters left: 2 (270 enodes) 5.837 * * [simplify]: Extracting #0: cost 1 inf + 0 5.837 * * [simplify]: Extracting #1: cost 56 inf + 0 5.838 * * [simplify]: Extracting #2: cost 151 inf + 0 5.839 * * [simplify]: Extracting #3: cost 211 inf + 3 5.842 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.851 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.868 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.892 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.910 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.923 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.939 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.939 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.940 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.940 * * [simplify]: iters left: 6 (11 enodes) 5.947 * * [simplify]: iters left: 5 (45 enodes) 5.961 * * [simplify]: iters left: 4 (68 enodes) 5.984 * * [simplify]: iters left: 3 (110 enodes) 6.015 * * [simplify]: iters left: 2 (217 enodes) 6.091 * * [simplify]: iters left: 1 (456 enodes) 6.285 * * [simplify]: Extracting #0: cost 1 inf + 0 6.285 * * [simplify]: Extracting #1: cost 44 inf + 0 6.286 * * [simplify]: Extracting #2: cost 133 inf + 0 6.286 * * [simplify]: Extracting #3: cost 211 inf + 3 6.287 * * [simplify]: Extracting #4: cost 209 inf + 1047 6.290 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.301 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.315 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.345 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.378 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.412 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.448 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.448 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.448 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.448 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.448 * * [simplify]: iters left: 6 (11 enodes) 6.456 * * [simplify]: iters left: 5 (45 enodes) 6.471 * * [simplify]: iters left: 4 (72 enodes) 6.495 * * [simplify]: iters left: 3 (113 enodes) 6.529 * * [simplify]: iters left: 2 (202 enodes) 6.571 * * [simplify]: iters left: 1 (423 enodes) 6.753 * * [simplify]: Extracting #0: cost 1 inf + 0 6.754 * * [simplify]: Extracting #1: cost 45 inf + 0 6.754 * * [simplify]: Extracting #2: cost 135 inf + 0 6.755 * * [simplify]: Extracting #3: cost 200 inf + 4 6.756 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.761 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.774 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.798 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.836 * * [simplify]: Extracting #8: cost 0 inf + 88687 6.869 * * [simplify]: Extracting #9: cost 0 inf + 87603 6.888 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.888 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.889 * * [simplify]: iters left: 6 (11 enodes) 6.892 * * [simplify]: iters left: 5 (45 enodes) 6.900 * * [simplify]: iters left: 4 (68 enodes) 6.920 * * [simplify]: iters left: 3 (110 enodes) 6.962 * * [simplify]: iters left: 2 (217 enodes) 7.033 * * [simplify]: iters left: 1 (456 enodes) 7.212 * * [simplify]: Extracting #0: cost 1 inf + 0 7.212 * * [simplify]: Extracting #1: cost 44 inf + 0 7.213 * * [simplify]: Extracting #2: cost 133 inf + 0 7.213 * * [simplify]: Extracting #3: cost 211 inf + 3 7.215 * * [simplify]: Extracting #4: cost 209 inf + 1127 7.217 * * [simplify]: Extracting #5: cost 156 inf + 8673 7.225 * * [simplify]: Extracting #6: cost 83 inf + 43734 7.253 * * [simplify]: Extracting #7: cost 10 inf + 107820 7.290 * * [simplify]: Extracting #8: cost 0 inf + 116474 7.323 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.340 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.370 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.370 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.370 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.370 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.370 * * [simplify]: iters left: 6 (10 enodes) 7.376 * * [simplify]: iters left: 5 (41 enodes) 7.390 * * [simplify]: iters left: 4 (68 enodes) 7.412 * * [simplify]: iters left: 3 (109 enodes) 7.434 * * [simplify]: iters left: 2 (194 enodes) 7.491 * * [simplify]: iters left: 1 (414 enodes) 7.707 * * [simplify]: Extracting #0: cost 1 inf + 0 7.707 * * [simplify]: Extracting #1: cost 45 inf + 0 7.708 * * [simplify]: Extracting #2: cost 141 inf + 0 7.709 * * [simplify]: Extracting #3: cost 206 inf + 4 7.712 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.723 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.754 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.785 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.815 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.831 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.831 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.831 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.831 * * [simplify]: iters left: 6 (11 enodes) 7.835 * * [simplify]: iters left: 5 (45 enodes) 7.843 * * [simplify]: iters left: 4 (68 enodes) 7.863 * * [simplify]: iters left: 3 (110 enodes) 7.887 * * [simplify]: iters left: 2 (217 enodes) 7.971 * * [simplify]: iters left: 1 (456 enodes) 8.160 * * [simplify]: Extracting #0: cost 1 inf + 0 8.160 * * [simplify]: Extracting #1: cost 44 inf + 0 8.161 * * [simplify]: Extracting #2: cost 133 inf + 0 8.163 * * [simplify]: Extracting #3: cost 211 inf + 3 8.165 * * [simplify]: Extracting #4: cost 209 inf + 967 8.169 * * [simplify]: Extracting #5: cost 156 inf + 8433 8.187 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.215 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.247 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.269 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.286 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.318 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.318 * [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))))) 8.318 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.319 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.319 * * [simplify]: iters left: 6 (9 enodes) 8.325 * * [simplify]: iters left: 5 (38 enodes) 8.338 * * [simplify]: iters left: 4 (63 enodes) 8.359 * * [simplify]: iters left: 3 (100 enodes) 8.392 * * [simplify]: iters left: 2 (175 enodes) 8.461 * * [simplify]: iters left: 1 (360 enodes) 8.601 * * [simplify]: Extracting #0: cost 1 inf + 0 8.604 * * [simplify]: Extracting #1: cost 52 inf + 0 8.604 * * [simplify]: Extracting #2: cost 150 inf + 3 8.605 * * [simplify]: Extracting #3: cost 190 inf + 8 8.606 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.609 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.621 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.646 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.659 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.673 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.695 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.695 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.695 * * [simplify]: iters left: 6 (10 enodes) 8.702 * * [simplify]: iters left: 5 (42 enodes) 8.716 * * [simplify]: iters left: 4 (65 enodes) 8.739 * * [simplify]: iters left: 3 (104 enodes) 8.769 * * [simplify]: iters left: 2 (206 enodes) 8.824 * * [simplify]: iters left: 1 (433 enodes) 8.988 * * [simplify]: Extracting #0: cost 1 inf + 0 8.989 * * [simplify]: Extracting #1: cost 45 inf + 0 8.989 * * [simplify]: Extracting #2: cost 143 inf + 0 8.990 * * [simplify]: Extracting #3: cost 213 inf + 45 8.991 * * [simplify]: Extracting #4: cost 203 inf + 1718 8.998 * * [simplify]: Extracting #5: cost 130 inf + 20716 9.022 * * [simplify]: Extracting #6: cost 18 inf + 99664 9.050 * * [simplify]: Extracting #7: cost 0 inf + 106929 9.077 * * [simplify]: Extracting #8: cost 0 inf + 106247 9.120 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.149 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.149 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.149 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.149 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.149 * * [simplify]: iters left: 6 (10 enodes) 9.153 * * [simplify]: iters left: 5 (41 enodes) 9.166 * * [simplify]: iters left: 4 (68 enodes) 9.189 * * [simplify]: iters left: 3 (109 enodes) 9.227 * * [simplify]: iters left: 2 (194 enodes) 9.308 * * [simplify]: iters left: 1 (414 enodes) 9.480 * * [simplify]: Extracting #0: cost 1 inf + 0 9.480 * * [simplify]: Extracting #1: cost 45 inf + 0 9.480 * * [simplify]: Extracting #2: cost 141 inf + 0 9.481 * * [simplify]: Extracting #3: cost 206 inf + 4 9.483 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.490 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.513 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.529 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.546 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.562 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.562 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.562 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.563 * * [simplify]: iters left: 6 (11 enodes) 9.570 * * [simplify]: iters left: 5 (45 enodes) 9.585 * * [simplify]: iters left: 4 (68 enodes) 9.607 * * [simplify]: iters left: 3 (110 enodes) 9.648 * * [simplify]: iters left: 2 (217 enodes) 9.738 * * [simplify]: iters left: 1 (456 enodes) 9.938 * * [simplify]: Extracting #0: cost 1 inf + 0 9.938 * * [simplify]: Extracting #1: cost 44 inf + 0 9.939 * * [simplify]: Extracting #2: cost 133 inf + 0 9.940 * * [simplify]: Extracting #3: cost 211 inf + 3 9.942 * * [simplify]: Extracting #4: cost 209 inf + 967 9.947 * * [simplify]: Extracting #5: cost 156 inf + 8433 9.959 * * [simplify]: Extracting #6: cost 83 inf + 42774 9.974 * * [simplify]: Extracting #7: cost 10 inf + 105380 9.993 * * [simplify]: Extracting #8: cost 0 inf + 113674 10.019 * * [simplify]: Extracting #9: cost 0 inf + 112705 10.040 * * [simplify]: Extracting #10: cost 0 inf + 111748 10.073 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 10.073 * [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))))) 10.073 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 10.074 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 10.074 * * [simplify]: iters left: 6 (8 enodes) 10.079 * * [simplify]: iters left: 5 (33 enodes) 10.091 * * [simplify]: iters left: 4 (56 enodes) 10.103 * * [simplify]: iters left: 3 (98 enodes) 10.124 * * [simplify]: iters left: 2 (203 enodes) 10.178 * * [simplify]: iters left: 1 (441 enodes) 10.468 * * [simplify]: Extracting #0: cost 1 inf + 0 10.469 * * [simplify]: Extracting #1: cost 49 inf + 0 10.470 * * [simplify]: Extracting #2: cost 157 inf + 3 10.472 * * [simplify]: Extracting #3: cost 212 inf + 8 10.474 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.479 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.500 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.534 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.568 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.595 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.595 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.595 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.595 * * [simplify]: iters left: 6 (10 enodes) 10.599 * * [simplify]: iters left: 5 (42 enodes) 10.606 * * [simplify]: iters left: 4 (65 enodes) 10.617 * * [simplify]: iters left: 3 (104 enodes) 10.646 * * [simplify]: iters left: 2 (206 enodes) 10.696 * * [simplify]: iters left: 1 (433 enodes) 10.863 * * [simplify]: Extracting #0: cost 1 inf + 0 10.863 * * [simplify]: Extracting #1: cost 45 inf + 0 10.864 * * [simplify]: Extracting #2: cost 143 inf + 0 10.865 * * [simplify]: Extracting #3: cost 213 inf + 45 10.868 * * [simplify]: Extracting #4: cost 203 inf + 1718 10.874 * * [simplify]: Extracting #5: cost 130 inf + 20716 10.888 * * [simplify]: Extracting #6: cost 18 inf + 99664 10.911 * * [simplify]: Extracting #7: cost 0 inf + 106929 10.948 * * [simplify]: Extracting #8: cost 0 inf + 106247 10.991 * * [simplify]: Extracting #9: cost 0 inf + 105867 11.023 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 11.023 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 11.024 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 11.024 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 11.024 * * [simplify]: iters left: 6 (16 enodes) 11.033 * * [simplify]: iters left: 5 (69 enodes) 11.052 * * [simplify]: iters left: 4 (117 enodes) 11.072 * * [simplify]: iters left: 3 (164 enodes) 11.114 * * [simplify]: iters left: 2 (236 enodes) 11.170 * * [simplify]: iters left: 1 (387 enodes) 11.355 * * [simplify]: Extracting #0: cost 1 inf + 0 11.355 * * [simplify]: Extracting #1: cost 11 inf + 0 11.356 * * [simplify]: Extracting #2: cost 22 inf + 0 11.356 * * [simplify]: Extracting #3: cost 48 inf + 0 11.356 * * [simplify]: Extracting #4: cost 120 inf + 2 11.358 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.363 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.374 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.395 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.414 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.426 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.440 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.440 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.441 * * [simplify]: iters left: 6 (14 enodes) 11.449 * * [simplify]: iters left: 5 (57 enodes) 11.468 * * [simplify]: iters left: 4 (90 enodes) 11.488 * * [simplify]: iters left: 3 (127 enodes) 11.515 * * [simplify]: iters left: 2 (195 enodes) 11.587 * * [simplify]: iters left: 1 (356 enodes) 11.724 * * [simplify]: Extracting #0: cost 1 inf + 0 11.724 * * [simplify]: Extracting #1: cost 4 inf + 0 11.724 * * [simplify]: Extracting #2: cost 8 inf + 0 11.724 * * [simplify]: Extracting #3: cost 34 inf + 0 11.725 * * [simplify]: Extracting #4: cost 107 inf + 164 11.726 * * [simplify]: Extracting #5: cost 148 inf + 585 11.729 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.737 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.748 * * [simplify]: Extracting #8: cost 3 inf + 60785 11.759 * * [simplify]: Extracting #9: cost 0 inf + 62323 11.769 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 11.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 11.769 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 11.770 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 11.770 * * [simplify]: iters left: 6 (16 enodes) 11.774 * * [simplify]: iters left: 5 (66 enodes) 11.789 * * [simplify]: iters left: 4 (103 enodes) 11.812 * * [simplify]: iters left: 3 (142 enodes) 11.851 * * [simplify]: iters left: 2 (210 enodes) 11.895 * * [simplify]: iters left: 1 (370 enodes) 12.072 * * [simplify]: Extracting #0: cost 1 inf + 0 12.072 * * [simplify]: Extracting #1: cost 7 inf + 0 12.072 * * [simplify]: Extracting #2: cost 15 inf + 0 12.073 * * [simplify]: Extracting #3: cost 43 inf + 0 12.074 * * [simplify]: Extracting #4: cost 113 inf + 204 12.075 * * [simplify]: Extracting #5: cost 144 inf + 990 12.078 * * [simplify]: Extracting #6: cost 110 inf + 4920 12.085 * * [simplify]: Extracting #7: cost 55 inf + 21303 12.100 * * [simplify]: Extracting #8: cost 13 inf + 52139 12.119 * * [simplify]: Extracting #9: cost 0 inf + 63233 12.139 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 12.139 * [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))))) 12.140 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 12.144 * * [simplify]: iters left: 6 (14 enodes) 12.152 * * [simplify]: iters left: 5 (57 enodes) 12.171 * * [simplify]: iters left: 4 (90 enodes) 12.187 * * [simplify]: iters left: 3 (127 enodes) 12.213 * * [simplify]: iters left: 2 (195 enodes) 12.259 * * [simplify]: iters left: 1 (356 enodes) 12.419 * * [simplify]: Extracting #0: cost 1 inf + 0 12.419 * * [simplify]: Extracting #1: cost 4 inf + 0 12.419 * * [simplify]: Extracting #2: cost 8 inf + 0 12.419 * * [simplify]: Extracting #3: cost 34 inf + 0 12.419 * * [simplify]: Extracting #4: cost 107 inf + 204 12.420 * * [simplify]: Extracting #5: cost 148 inf + 665 12.422 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.426 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.435 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.449 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.459 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.459 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.459 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.459 * * [simplify]: iters left: 6 (15 enodes) 12.464 * * [simplify]: iters left: 5 (62 enodes) 12.476 * * [simplify]: iters left: 4 (99 enodes) 12.497 * * [simplify]: iters left: 3 (142 enodes) 12.523 * * [simplify]: iters left: 2 (215 enodes) 12.566 * * [simplify]: iters left: 1 (364 enodes) 12.711 * * [simplify]: Extracting #0: cost 1 inf + 0 12.711 * * [simplify]: Extracting #1: cost 7 inf + 0 12.711 * * [simplify]: Extracting #2: cost 14 inf + 0 12.711 * * [simplify]: Extracting #3: cost 41 inf + 0 12.711 * * [simplify]: Extracting #4: cost 108 inf + 124 12.712 * * [simplify]: Extracting #5: cost 134 inf + 713 12.714 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.720 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.732 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.741 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.749 * * [simplify]: Extracting #10: cost 0 inf + 60309 12.767 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 12.767 * [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))))) 12.768 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.768 * * [simplify]: iters left: 6 (14 enodes) 12.776 * * [simplify]: iters left: 5 (57 enodes) 12.795 * * [simplify]: iters left: 4 (90 enodes) 12.823 * * [simplify]: iters left: 3 (127 enodes) 12.867 * * [simplify]: iters left: 2 (195 enodes) 12.932 * * [simplify]: iters left: 1 (356 enodes) 13.062 * * [simplify]: Extracting #0: cost 1 inf + 0 13.062 * * [simplify]: Extracting #1: cost 4 inf + 0 13.062 * * [simplify]: Extracting #2: cost 8 inf + 0 13.062 * * [simplify]: Extracting #3: cost 34 inf + 0 13.062 * * [simplify]: Extracting #4: cost 107 inf + 124 13.063 * * [simplify]: Extracting #5: cost 148 inf + 505 13.064 * * [simplify]: Extracting #6: cost 104 inf + 5977 13.069 * * [simplify]: Extracting #7: cost 40 inf + 28772 13.085 * * [simplify]: Extracting #8: cost 3 inf + 60625 13.106 * * [simplify]: Extracting #9: cost 0 inf + 62163 13.125 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.126 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.126 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.126 * * [simplify]: iters left: 6 (14 enodes) 13.131 * * [simplify]: iters left: 5 (59 enodes) 13.142 * * [simplify]: iters left: 4 (96 enodes) 13.159 * * [simplify]: iters left: 3 (136 enodes) 13.199 * * [simplify]: iters left: 2 (205 enodes) 13.251 * * [simplify]: iters left: 1 (370 enodes) 13.397 * * [simplify]: Extracting #0: cost 1 inf + 0 13.397 * * [simplify]: Extracting #1: cost 5 inf + 0 13.397 * * [simplify]: Extracting #2: cost 7 inf + 1 13.397 * * [simplify]: Extracting #3: cost 31 inf + 1 13.397 * * [simplify]: Extracting #4: cost 103 inf + 2 13.398 * * [simplify]: Extracting #5: cost 150 inf + 218 13.399 * * [simplify]: Extracting #6: cost 145 inf + 809 13.401 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.409 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.428 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.453 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.478 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.478 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.479 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.479 * * [simplify]: iters left: 6 (13 enodes) 13.486 * * [simplify]: iters left: 5 (54 enodes) 13.505 * * [simplify]: iters left: 4 (87 enodes) 13.537 * * [simplify]: iters left: 3 (128 enodes) 13.572 * * [simplify]: iters left: 2 (197 enodes) 13.616 * * [simplify]: iters left: 1 (354 enodes) 13.731 * * [simplify]: Extracting #0: cost 1 inf + 0 13.731 * * [simplify]: Extracting #1: cost 4 inf + 0 13.731 * * [simplify]: Extracting #2: cost 8 inf + 0 13.731 * * [simplify]: Extracting #3: cost 28 inf + 83 13.732 * * [simplify]: Extracting #4: cost 105 inf + 84 13.733 * * [simplify]: Extracting #5: cost 139 inf + 343 13.735 * * [simplify]: Extracting #6: cost 97 inf + 5103 13.744 * * [simplify]: Extracting #7: cost 34 inf + 36313 13.759 * * [simplify]: Extracting #8: cost 1 inf + 60074 13.777 * * [simplify]: Extracting #9: cost 0 inf + 60197 13.794 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 13.794 * [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)))) 13.794 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 13.795 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 13.795 * * [simplify]: iters left: 6 (15 enodes) 13.802 * * [simplify]: iters left: 5 (62 enodes) 13.813 * * [simplify]: iters left: 4 (99 enodes) 13.835 * * [simplify]: iters left: 3 (142 enodes) 13.871 * * [simplify]: iters left: 2 (215 enodes) 13.918 * * [simplify]: iters left: 1 (364 enodes) 14.061 * * [simplify]: Extracting #0: cost 1 inf + 0 14.061 * * [simplify]: Extracting #1: cost 7 inf + 0 14.061 * * [simplify]: Extracting #2: cost 14 inf + 0 14.061 * * [simplify]: Extracting #3: cost 41 inf + 0 14.061 * * [simplify]: Extracting #4: cost 108 inf + 124 14.062 * * [simplify]: Extracting #5: cost 134 inf + 713 14.064 * * [simplify]: Extracting #6: cost 89 inf + 7865 14.070 * * [simplify]: Extracting #7: cost 23 inf + 42624 14.080 * * [simplify]: Extracting #8: cost 0 inf + 60960 14.098 * * [simplify]: Extracting #9: cost 0 inf + 60349 14.115 * * [simplify]: Extracting #10: cost 0 inf + 60309 14.128 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 14.128 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.128 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.128 * * [simplify]: iters left: 6 (14 enodes) 14.133 * * [simplify]: iters left: 5 (57 enodes) 14.143 * * [simplify]: iters left: 4 (90 enodes) 14.167 * * [simplify]: iters left: 3 (127 enodes) 14.207 * * [simplify]: iters left: 2 (195 enodes) 14.248 * * [simplify]: iters left: 1 (356 enodes) 14.431 * * [simplify]: Extracting #0: cost 1 inf + 0 14.431 * * [simplify]: Extracting #1: cost 4 inf + 0 14.431 * * [simplify]: Extracting #2: cost 8 inf + 0 14.431 * * [simplify]: Extracting #3: cost 34 inf + 0 14.432 * * [simplify]: Extracting #4: cost 107 inf + 124 14.433 * * [simplify]: Extracting #5: cost 148 inf + 505 14.436 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.445 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.462 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.486 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.506 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.506 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.507 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.507 * * [simplify]: iters left: 6 (13 enodes) 14.514 * * [simplify]: iters left: 5 (54 enodes) 14.534 * * [simplify]: iters left: 4 (95 enodes) 14.564 * * [simplify]: iters left: 3 (137 enodes) 14.607 * * [simplify]: iters left: 2 (206 enodes) 14.681 * * [simplify]: iters left: 1 (362 enodes) 14.830 * * [simplify]: Extracting #0: cost 1 inf + 0 14.830 * * [simplify]: Extracting #1: cost 5 inf + 0 14.830 * * [simplify]: Extracting #2: cost 7 inf + 1 14.830 * * [simplify]: Extracting #3: cost 32 inf + 1 14.830 * * [simplify]: Extracting #4: cost 110 inf + 2 14.831 * * [simplify]: Extracting #5: cost 158 inf + 176 14.832 * * [simplify]: Extracting #6: cost 152 inf + 519 14.834 * * [simplify]: Extracting #7: cost 101 inf + 8278 14.840 * * [simplify]: Extracting #8: cost 36 inf + 29809 14.859 * * [simplify]: Extracting #9: cost 0 inf + 59743 14.881 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 14.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 14.881 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 14.881 * * [simplify]: iters left: 6 (13 enodes) 14.888 * * [simplify]: iters left: 5 (54 enodes) 14.898 * * [simplify]: iters left: 4 (87 enodes) 14.916 * * [simplify]: iters left: 3 (128 enodes) 14.958 * * [simplify]: iters left: 2 (197 enodes) 15.012 * * [simplify]: iters left: 1 (354 enodes) 15.166 * * [simplify]: Extracting #0: cost 1 inf + 0 15.166 * * [simplify]: Extracting #1: cost 4 inf + 0 15.166 * * [simplify]: Extracting #2: cost 8 inf + 0 15.167 * * [simplify]: Extracting #3: cost 28 inf + 83 15.167 * * [simplify]: Extracting #4: cost 105 inf + 84 15.168 * * [simplify]: Extracting #5: cost 139 inf + 343 15.171 * * [simplify]: Extracting #6: cost 97 inf + 5103 15.177 * * [simplify]: Extracting #7: cost 34 inf + 36313 15.187 * * [simplify]: Extracting #8: cost 1 inf + 60074 15.200 * * [simplify]: Extracting #9: cost 0 inf + 60197 15.210 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 15.210 * [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)))) 15.211 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.211 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.211 * * [simplify]: iters left: 6 (15 enodes) 15.220 * * [simplify]: iters left: 5 (62 enodes) 15.236 * * [simplify]: iters left: 4 (98 enodes) 15.252 * * [simplify]: iters left: 3 (134 enodes) 15.274 * * [simplify]: iters left: 2 (202 enodes) 15.751 * * [simplify]: iters left: 1 (362 enodes) 15.900 * * [simplify]: Extracting #0: cost 1 inf + 0 15.900 * * [simplify]: Extracting #1: cost 6 inf + 0 15.900 * * [simplify]: Extracting #2: cost 13 inf + 0 15.900 * * [simplify]: Extracting #3: cost 43 inf + 0 15.900 * * [simplify]: Extracting #4: cost 123 inf + 2 15.901 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.904 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.909 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.925 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.947 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.947 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.948 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.948 * * [simplify]: iters left: 6 (14 enodes) 15.955 * * [simplify]: iters left: 5 (57 enodes) 15.965 * * [simplify]: iters left: 4 (91 enodes) 15.980 * * [simplify]: iters left: 3 (127 enodes) 16.015 * * [simplify]: iters left: 2 (195 enodes) 16.082 * * [simplify]: iters left: 1 (354 enodes) 16.211 * * [simplify]: Extracting #0: cost 1 inf + 0 16.211 * * [simplify]: Extracting #1: cost 4 inf + 0 16.211 * * [simplify]: Extracting #2: cost 9 inf + 0 16.211 * * [simplify]: Extracting #3: cost 36 inf + 0 16.212 * * [simplify]: Extracting #4: cost 113 inf + 164 16.212 * * [simplify]: Extracting #5: cost 137 inf + 711 16.215 * * [simplify]: Extracting #6: cost 71 inf + 16363 16.224 * * [simplify]: Extracting #7: cost 10 inf + 50147 16.246 * * [simplify]: Extracting #8: cost 0 inf + 57814 16.266 * * [simplify]: Extracting #9: cost 0 inf + 57305 16.285 * * [simplify]: Extracting #10: cost 0 inf + 57095 16.305 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 16.305 * [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))))) 16.305 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 16.305 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.305 * * [simplify]: iters left: 6 (15 enodes) 16.314 * * [simplify]: iters left: 5 (61 enodes) 16.334 * * [simplify]: iters left: 4 (95 enodes) 16.363 * * [simplify]: iters left: 3 (131 enodes) 16.395 * * [simplify]: iters left: 2 (199 enodes) 16.448 * * [simplify]: iters left: 1 (362 enodes) 16.593 * * [simplify]: Extracting #0: cost 1 inf + 0 16.593 * * [simplify]: Extracting #1: cost 4 inf + 0 16.593 * * [simplify]: Extracting #2: cost 10 inf + 0 16.593 * * [simplify]: Extracting #3: cost 41 inf + 0 16.593 * * [simplify]: Extracting #4: cost 124 inf + 325 16.594 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.596 * * [simplify]: Extracting #6: cost 88 inf + 11216 16.600 * * [simplify]: Extracting #7: cost 59 inf + 18921 16.607 * * [simplify]: Extracting #8: cost 20 inf + 50076 16.617 * * [simplify]: Extracting #9: cost 0 inf + 68061 16.635 * * [simplify]: Extracting #10: cost 0 inf + 67850 16.654 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.655 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.655 * * [simplify]: iters left: 6 (14 enodes) 16.662 * * [simplify]: iters left: 5 (57 enodes) 16.682 * * [simplify]: iters left: 4 (91 enodes) 16.714 * * [simplify]: iters left: 3 (127 enodes) 16.755 * * [simplify]: iters left: 2 (195 enodes) 16.809 * * [simplify]: iters left: 1 (354 enodes) 16.966 * * [simplify]: Extracting #0: cost 1 inf + 0 16.967 * * [simplify]: Extracting #1: cost 4 inf + 0 16.967 * * [simplify]: Extracting #2: cost 9 inf + 0 16.967 * * [simplify]: Extracting #3: cost 36 inf + 0 16.967 * * [simplify]: Extracting #4: cost 113 inf + 204 16.969 * * [simplify]: Extracting #5: cost 137 inf + 791 16.973 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.989 * * [simplify]: Extracting #7: cost 10 inf + 50227 17.007 * * [simplify]: Extracting #8: cost 0 inf + 57894 17.017 * * [simplify]: Extracting #9: cost 0 inf + 57385 17.027 * * [simplify]: Extracting #10: cost 0 inf + 57175 17.039 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 17.040 * [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))))) 17.040 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 17.040 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.040 * * [simplify]: iters left: 6 (14 enodes) 17.049 * * [simplify]: iters left: 5 (57 enodes) 17.060 * * [simplify]: iters left: 4 (91 enodes) 17.075 * * [simplify]: iters left: 3 (127 enodes) 17.103 * * [simplify]: iters left: 2 (195 enodes) 17.177 * * [simplify]: iters left: 1 (354 enodes) 17.336 * * [simplify]: Extracting #0: cost 1 inf + 0 17.336 * * [simplify]: Extracting #1: cost 4 inf + 0 17.336 * * [simplify]: Extracting #2: cost 9 inf + 0 17.336 * * [simplify]: Extracting #3: cost 36 inf + 0 17.337 * * [simplify]: Extracting #4: cost 113 inf + 124 17.337 * * [simplify]: Extracting #5: cost 137 inf + 631 17.340 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.348 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.358 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.375 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.394 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.413 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.413 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.414 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.414 * * [simplify]: iters left: 6 (14 enodes) 17.422 * * [simplify]: iters left: 5 (57 enodes) 17.441 * * [simplify]: iters left: 4 (91 enodes) 17.471 * * [simplify]: iters left: 3 (127 enodes) 17.512 * * [simplify]: iters left: 2 (195 enodes) 17.587 * * [simplify]: iters left: 1 (354 enodes) 17.761 * * [simplify]: Extracting #0: cost 1 inf + 0 17.761 * * [simplify]: Extracting #1: cost 4 inf + 0 17.761 * * [simplify]: Extracting #2: cost 9 inf + 0 17.762 * * [simplify]: Extracting #3: cost 36 inf + 0 17.762 * * [simplify]: Extracting #4: cost 113 inf + 124 17.763 * * [simplify]: Extracting #5: cost 137 inf + 631 17.768 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.776 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.786 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.801 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.820 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.835 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.835 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.835 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.836 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.836 * * [simplify]: iters left: 6 (13 enodes) 17.841 * * [simplify]: iters left: 5 (54 enodes) 17.851 * * [simplify]: iters left: 4 (88 enodes) 17.876 * * [simplify]: iters left: 3 (127 enodes) 17.899 * * [simplify]: iters left: 2 (196 enodes) 17.953 * * [simplify]: iters left: 1 (362 enodes) 18.097 * * [simplify]: Extracting #0: cost 1 inf + 0 18.098 * * [simplify]: Extracting #1: cost 5 inf + 0 18.098 * * [simplify]: Extracting #2: cost 27 inf + 1 18.098 * * [simplify]: Extracting #3: cost 103 inf + 2 18.099 * * [simplify]: Extracting #4: cost 147 inf + 177 18.099 * * [simplify]: Extracting #5: cost 138 inf + 727 18.101 * * [simplify]: Extracting #6: cost 92 inf + 5570 18.107 * * [simplify]: Extracting #7: cost 20 inf + 39855 18.117 * * [simplify]: Extracting #8: cost 0 inf + 56614 18.134 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.134 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.135 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.135 * * [simplify]: iters left: 6 (13 enodes) 18.142 * * [simplify]: iters left: 5 (54 enodes) 18.160 * * [simplify]: iters left: 4 (88 enodes) 18.184 * * [simplify]: iters left: 3 (125 enodes) 18.207 * * [simplify]: iters left: 2 (193 enodes) 18.278 * * [simplify]: iters left: 1 (356 enodes) 18.418 * * [simplify]: Extracting #0: cost 1 inf + 0 18.418 * * [simplify]: Extracting #1: cost 4 inf + 0 18.418 * * [simplify]: Extracting #2: cost 9 inf + 0 18.418 * * [simplify]: Extracting #3: cost 32 inf + 1 18.419 * * [simplify]: Extracting #4: cost 105 inf + 84 18.421 * * [simplify]: Extracting #5: cost 126 inf + 1591 18.427 * * [simplify]: Extracting #6: cost 68 inf + 14727 18.445 * * [simplify]: Extracting #7: cost 10 inf + 40855 18.470 * * [simplify]: Extracting #8: cost 0 inf + 47636 18.496 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.496 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.496 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 18.496 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.497 * * [simplify]: iters left: 6 (14 enodes) 18.504 * * [simplify]: iters left: 5 (57 enodes) 18.515 * * [simplify]: iters left: 4 (91 enodes) 18.530 * * [simplify]: iters left: 3 (127 enodes) 18.572 * * [simplify]: iters left: 2 (195 enodes) 18.644 * * [simplify]: iters left: 1 (354 enodes) 18.806 * * [simplify]: Extracting #0: cost 1 inf + 0 18.806 * * [simplify]: Extracting #1: cost 4 inf + 0 18.806 * * [simplify]: Extracting #2: cost 9 inf + 0 18.806 * * [simplify]: Extracting #3: cost 36 inf + 0 18.807 * * [simplify]: Extracting #4: cost 113 inf + 124 18.809 * * [simplify]: Extracting #5: cost 137 inf + 631 18.813 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.829 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.848 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.867 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.886 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.899 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.900 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.900 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.900 * * [simplify]: iters left: 6 (14 enodes) 18.905 * * [simplify]: iters left: 5 (57 enodes) 18.918 * * [simplify]: iters left: 4 (91 enodes) 18.933 * * [simplify]: iters left: 3 (127 enodes) 18.957 * * [simplify]: iters left: 2 (195 enodes) 19.022 * * [simplify]: iters left: 1 (354 enodes) 19.183 * * [simplify]: Extracting #0: cost 1 inf + 0 19.183 * * [simplify]: Extracting #1: cost 4 inf + 0 19.183 * * [simplify]: Extracting #2: cost 9 inf + 0 19.184 * * [simplify]: Extracting #3: cost 36 inf + 0 19.184 * * [simplify]: Extracting #4: cost 113 inf + 124 19.184 * * [simplify]: Extracting #5: cost 137 inf + 631 19.187 * * [simplify]: Extracting #6: cost 71 inf + 16283 19.195 * * [simplify]: Extracting #7: cost 10 inf + 49987 19.207 * * [simplify]: Extracting #8: cost 0 inf + 57654 19.226 * * [simplify]: Extracting #9: cost 0 inf + 57145 19.248 * * [simplify]: Extracting #10: cost 0 inf + 56935 19.259 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 19.259 * [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))))) 19.259 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 19.259 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 19.259 * * [simplify]: iters left: 6 (12 enodes) 19.263 * * [simplify]: iters left: 5 (49 enodes) 19.272 * * [simplify]: iters left: 4 (83 enodes) 19.292 * * [simplify]: iters left: 3 (124 enodes) 19.314 * * [simplify]: iters left: 2 (197 enodes) 19.362 * * [simplify]: iters left: 1 (352 enodes) 19.508 * * [simplify]: Extracting #0: cost 1 inf + 0 19.509 * * [simplify]: Extracting #1: cost 5 inf + 0 19.509 * * [simplify]: Extracting #2: cost 27 inf + 1 19.509 * * [simplify]: Extracting #3: cost 107 inf + 2 19.510 * * [simplify]: Extracting #4: cost 136 inf + 177 19.512 * * [simplify]: Extracting #5: cost 130 inf + 641 19.516 * * [simplify]: Extracting #6: cost 70 inf + 10495 19.523 * * [simplify]: Extracting #7: cost 39 inf + 22866 19.542 * * [simplify]: Extracting #8: cost 5 inf + 50330 19.561 * * [simplify]: Extracting #9: cost 0 inf + 54200 19.580 * * [simplify]: Extracting #10: cost 0 inf + 53889 19.600 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.600 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 19.601 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.601 * * [simplify]: iters left: 6 (13 enodes) 19.609 * * [simplify]: iters left: 5 (54 enodes) 19.627 * * [simplify]: iters left: 4 (88 enodes) 19.655 * * [simplify]: iters left: 3 (125 enodes) 19.699 * * [simplify]: iters left: 2 (193 enodes) 19.772 * * [simplify]: iters left: 1 (356 enodes) 19.921 * * [simplify]: Extracting #0: cost 1 inf + 0 19.922 * * [simplify]: Extracting #1: cost 4 inf + 0 19.922 * * [simplify]: Extracting #2: cost 9 inf + 0 19.922 * * [simplify]: Extracting #3: cost 32 inf + 1 19.922 * * [simplify]: Extracting #4: cost 105 inf + 84 19.924 * * [simplify]: Extracting #5: cost 126 inf + 1591 19.930 * * [simplify]: Extracting #6: cost 68 inf + 14727 19.947 * * [simplify]: Extracting #7: cost 10 inf + 40855 19.967 * * [simplify]: Extracting #8: cost 0 inf + 47636 19.981 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.981 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.982 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.982 * * [simplify]: iters left: 6 (6 enodes) 19.983 * * [simplify]: iters left: 5 (22 enodes) 19.987 * * [simplify]: iters left: 4 (26 enodes) 19.992 * * [simplify]: Extracting #0: cost 1 inf + 0 19.992 * * [simplify]: Extracting #1: cost 6 inf + 0 19.992 * * [simplify]: Extracting #2: cost 9 inf + 1 19.992 * * [simplify]: Extracting #3: cost 11 inf + 1 19.993 * * [simplify]: Extracting #4: cost 8 inf + 84 19.993 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.993 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.993 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.994 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.994 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.994 * * [simplify]: iters left: 6 (13 enodes) 20.002 * * [simplify]: iters left: 5 (54 enodes) 20.020 * * [simplify]: iters left: 4 (89 enodes) 20.049 * * [simplify]: iters left: 3 (136 enodes) 20.085 * * [simplify]: iters left: 2 (221 enodes) 20.129 * * [simplify]: iters left: 1 (444 enodes) 20.370 * * [simplify]: Extracting #0: cost 1 inf + 0 20.370 * * [simplify]: Extracting #1: cost 51 inf + 0 20.371 * * [simplify]: Extracting #2: cost 142 inf + 0 20.372 * * [simplify]: Extracting #3: cost 218 inf + 3 20.373 * * [simplify]: Extracting #4: cost 207 inf + 1337 20.376 * * [simplify]: Extracting #5: cost 133 inf + 19274 20.388 * * [simplify]: Extracting #6: cost 32 inf + 94866 20.417 * * [simplify]: Extracting #7: cost 0 inf + 124049 20.437 * * [simplify]: Extracting #8: cost 0 inf + 120814 20.458 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 20.458 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 20.458 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.458 * * [simplify]: iters left: 6 (6 enodes) 20.462 * * [simplify]: iters left: 5 (21 enodes) 20.468 * * [simplify]: iters left: 4 (23 enodes) 20.475 * * [simplify]: Extracting #0: cost 1 inf + 0 20.475 * * [simplify]: Extracting #1: cost 4 inf + 0 20.475 * * [simplify]: Extracting #2: cost 6 inf + 1 20.475 * * [simplify]: Extracting #3: cost 9 inf + 1 20.475 * * [simplify]: Extracting #4: cost 8 inf + 2 20.475 * * [simplify]: Extracting #5: cost 1 inf + 810 20.476 * * [simplify]: Extracting #6: cost 0 inf + 972 20.476 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.476 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.476 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.476 * * [simplify]: iters left: 6 (13 enodes) 20.485 * * [simplify]: iters left: 5 (54 enodes) 20.504 * * [simplify]: iters left: 4 (89 enodes) 20.520 * * [simplify]: iters left: 3 (136 enodes) 20.543 * * [simplify]: iters left: 2 (221 enodes) 20.614 * * [simplify]: iters left: 1 (444 enodes) 20.854 * * [simplify]: Extracting #0: cost 1 inf + 0 20.854 * * [simplify]: Extracting #1: cost 51 inf + 0 20.855 * * [simplify]: Extracting #2: cost 142 inf + 0 20.856 * * [simplify]: Extracting #3: cost 218 inf + 3 20.857 * * [simplify]: Extracting #4: cost 207 inf + 1377 20.860 * * [simplify]: Extracting #5: cost 133 inf + 19354 20.878 * * [simplify]: Extracting #6: cost 32 inf + 94946 20.911 * * [simplify]: Extracting #7: cost 0 inf + 124129 20.932 * * [simplify]: Extracting #8: cost 0 inf + 120894 20.958 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.958 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.958 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 20.958 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.958 * * [simplify]: iters left: 4 (5 enodes) 20.961 * * [simplify]: iters left: 3 (17 enodes) 20.967 * * [simplify]: iters left: 2 (19 enodes) 20.972 * * [simplify]: Extracting #0: cost 1 inf + 0 20.973 * * [simplify]: Extracting #1: cost 4 inf + 0 20.973 * * [simplify]: Extracting #2: cost 5 inf + 1 20.973 * * [simplify]: Extracting #3: cost 7 inf + 1 20.973 * * [simplify]: Extracting #4: cost 0 inf + 490 20.973 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.973 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.973 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.974 * * [simplify]: iters left: 6 (13 enodes) 20.977 * * [simplify]: iters left: 5 (54 enodes) 20.987 * * [simplify]: iters left: 4 (89 enodes) 21.001 * * [simplify]: iters left: 3 (136 enodes) 21.036 * * [simplify]: iters left: 2 (221 enodes) 21.102 * * [simplify]: iters left: 1 (444 enodes) 21.292 * * [simplify]: Extracting #0: cost 1 inf + 0 21.293 * * [simplify]: Extracting #1: cost 51 inf + 0 21.293 * * [simplify]: Extracting #2: cost 142 inf + 0 21.295 * * [simplify]: Extracting #3: cost 218 inf + 3 21.297 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.309 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.334 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.362 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.380 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.409 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.410 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.410 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 21.410 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.410 * * [simplify]: iters left: 3 (3 enodes) 21.417 * * [simplify]: iters left: 2 (11 enodes) 21.420 * * [simplify]: iters left: 1 (13 enodes) 21.423 * * [simplify]: Extracting #0: cost 1 inf + 0 21.423 * * [simplify]: Extracting #1: cost 0 inf + 1 21.423 * [simplify]: Simplified to 1 21.423 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.424 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.424 * * [simplify]: iters left: 6 (12 enodes) 21.431 * * [simplify]: iters left: 5 (51 enodes) 21.445 * * [simplify]: iters left: 4 (86 enodes) 21.459 * * [simplify]: iters left: 3 (133 enodes) 21.495 * * [simplify]: iters left: 2 (218 enodes) 21.552 * * [simplify]: iters left: 1 (444 enodes) 21.749 * * [simplify]: Extracting #0: cost 1 inf + 0 21.749 * * [simplify]: Extracting #1: cost 39 inf + 0 21.750 * * [simplify]: Extracting #2: cost 126 inf + 0 21.751 * * [simplify]: Extracting #3: cost 201 inf + 4 21.753 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.758 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.775 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.805 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.836 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.855 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.855 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.855 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 21.855 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.855 * * [simplify]: iters left: 4 (5 enodes) 21.857 * * [simplify]: iters left: 3 (17 enodes) 21.860 * * [simplify]: iters left: 2 (19 enodes) 21.866 * * [simplify]: Extracting #0: cost 1 inf + 0 21.866 * * [simplify]: Extracting #1: cost 4 inf + 0 21.866 * * [simplify]: Extracting #2: cost 5 inf + 1 21.866 * * [simplify]: Extracting #3: cost 7 inf + 1 21.866 * * [simplify]: Extracting #4: cost 0 inf + 490 21.866 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.867 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.867 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.867 * * [simplify]: iters left: 6 (13 enodes) 21.871 * * [simplify]: iters left: 5 (54 enodes) 21.890 * * [simplify]: iters left: 4 (89 enodes) 21.904 * * [simplify]: iters left: 3 (136 enodes) 21.934 * * [simplify]: iters left: 2 (221 enodes) 21.993 * * [simplify]: iters left: 1 (444 enodes) 22.202 * * [simplify]: Extracting #0: cost 1 inf + 0 22.202 * * [simplify]: Extracting #1: cost 51 inf + 0 22.203 * * [simplify]: Extracting #2: cost 142 inf + 0 22.203 * * [simplify]: Extracting #3: cost 218 inf + 3 22.205 * * [simplify]: Extracting #4: cost 207 inf + 1257 22.208 * * [simplify]: Extracting #5: cost 133 inf + 18954 22.220 * * [simplify]: Extracting #6: cost 32 inf + 92706 22.243 * * [simplify]: Extracting #7: cost 0 inf + 121009 22.264 * * [simplify]: Extracting #8: cost 0 inf + 117774 22.295 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.295 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.295 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 22.295 * [simplify]: Simplifying (/ 1 1) 22.295 * * [simplify]: iters left: 2 (2 enodes) 22.297 * * [simplify]: iters left: 1 (6 enodes) 22.299 * * [simplify]: Extracting #0: cost 1 inf + 0 22.299 * * [simplify]: Extracting #1: cost 0 inf + 1 22.299 * [simplify]: Simplified to 1 22.299 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 22.300 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 22.300 * * [simplify]: iters left: 6 (12 enodes) 22.307 * * [simplify]: iters left: 5 (51 enodes) 22.326 * * [simplify]: iters left: 4 (86 enodes) 22.354 * * [simplify]: iters left: 3 (133 enodes) 22.387 * * [simplify]: iters left: 2 (218 enodes) 22.452 * * [simplify]: iters left: 1 (444 enodes) 22.644 * * [simplify]: Extracting #0: cost 1 inf + 0 22.644 * * [simplify]: Extracting #1: cost 39 inf + 0 22.645 * * [simplify]: Extracting #2: cost 126 inf + 0 22.646 * * [simplify]: Extracting #3: cost 201 inf + 4 22.648 * * [simplify]: Extracting #4: cost 189 inf + 1508 22.653 * * [simplify]: Extracting #5: cost 135 inf + 9951 22.670 * * [simplify]: Extracting #6: cost 51 inf + 62585 22.704 * * [simplify]: Extracting #7: cost 2 inf + 102691 22.736 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.756 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.757 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.757 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 22.757 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.757 * * [simplify]: iters left: 6 (15 enodes) 22.762 * * [simplify]: iters left: 5 (65 enodes) 22.774 * * [simplify]: iters left: 4 (109 enodes) 22.797 * * [simplify]: iters left: 3 (185 enodes) 22.853 * * [simplify]: iters left: 2 (368 enodes) 22.980 * * [simplify]: Extracting #0: cost 1 inf + 0 22.980 * * [simplify]: Extracting #1: cost 54 inf + 0 22.981 * * [simplify]: Extracting #2: cost 144 inf + 0 22.982 * * [simplify]: Extracting #3: cost 223 inf + 2 22.985 * * [simplify]: Extracting #4: cost 217 inf + 1415 22.989 * * [simplify]: Extracting #5: cost 166 inf + 8610 23.004 * * [simplify]: Extracting #6: cost 63 inf + 69583 23.035 * * [simplify]: Extracting #7: cost 0 inf + 121597 23.067 * * [simplify]: Extracting #8: cost 0 inf + 120169 23.083 * * [simplify]: Extracting #9: cost 0 inf + 120168 23.105 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.105 * [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))))) 23.105 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 23.105 * * [simplify]: iters left: 6 (14 enodes) 23.114 * * [simplify]: iters left: 5 (60 enodes) 23.135 * * [simplify]: iters left: 4 (98 enodes) 23.157 * * [simplify]: iters left: 3 (157 enodes) 23.188 * * [simplify]: iters left: 2 (290 enodes) 23.262 * * [simplify]: Extracting #0: cost 1 inf + 0 23.262 * * [simplify]: Extracting #1: cost 30 inf + 0 23.262 * * [simplify]: Extracting #2: cost 72 inf + 0 23.263 * * [simplify]: Extracting #3: cost 138 inf + 2 23.263 * * [simplify]: Extracting #4: cost 142 inf + 932 23.266 * * [simplify]: Extracting #5: cost 72 inf + 18422 23.273 * * [simplify]: Extracting #6: cost 10 inf + 45090 23.282 * * [simplify]: Extracting #7: cost 0 inf + 51502 23.292 * * [simplify]: Extracting #8: cost 0 inf + 51262 23.302 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 23.302 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 23.302 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 23.302 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.302 * * [simplify]: iters left: 6 (15 enodes) 23.307 * * [simplify]: iters left: 5 (64 enodes) 23.319 * * [simplify]: iters left: 4 (102 enodes) 23.348 * * [simplify]: iters left: 3 (161 enodes) 23.382 * * [simplify]: iters left: 2 (288 enodes) 23.452 * * [simplify]: Extracting #0: cost 1 inf + 0 23.452 * * [simplify]: Extracting #1: cost 30 inf + 0 23.452 * * [simplify]: Extracting #2: cost 73 inf + 0 23.453 * * [simplify]: Extracting #3: cost 138 inf + 2 23.453 * * [simplify]: Extracting #4: cost 144 inf + 347 23.456 * * [simplify]: Extracting #5: cost 101 inf + 5180 23.460 * * [simplify]: Extracting #6: cost 44 inf + 26188 23.467 * * [simplify]: Extracting #7: cost 7 inf + 54487 23.474 * * [simplify]: Extracting #8: cost 0 inf + 59312 23.482 * * [simplify]: Extracting #9: cost 0 inf + 58534 23.490 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 23.491 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.491 * * [simplify]: iters left: 6 (14 enodes) 23.500 * * [simplify]: iters left: 5 (60 enodes) 23.518 * * [simplify]: iters left: 4 (98 enodes) 23.538 * * [simplify]: iters left: 3 (157 enodes) 23.588 * * [simplify]: iters left: 2 (290 enodes) 23.666 * * [simplify]: Extracting #0: cost 1 inf + 0 23.666 * * [simplify]: Extracting #1: cost 30 inf + 0 23.667 * * [simplify]: Extracting #2: cost 72 inf + 0 23.668 * * [simplify]: Extracting #3: cost 138 inf + 2 23.669 * * [simplify]: Extracting #4: cost 142 inf + 932 23.674 * * [simplify]: Extracting #5: cost 72 inf + 18502 23.688 * * [simplify]: Extracting #6: cost 10 inf + 45170 23.706 * * [simplify]: Extracting #7: cost 0 inf + 51582 23.723 * * [simplify]: Extracting #8: cost 0 inf + 51342 23.740 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.740 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.740 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 23.740 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.740 * * [simplify]: iters left: 6 (14 enodes) 23.749 * * [simplify]: iters left: 5 (60 enodes) 23.769 * * [simplify]: iters left: 4 (98 enodes) 23.799 * * [simplify]: iters left: 3 (157 enodes) 23.833 * * [simplify]: iters left: 2 (290 enodes) 23.921 * * [simplify]: Extracting #0: cost 1 inf + 0 23.921 * * [simplify]: Extracting #1: cost 30 inf + 0 23.921 * * [simplify]: Extracting #2: cost 72 inf + 0 23.922 * * [simplify]: Extracting #3: cost 138 inf + 2 23.923 * * [simplify]: Extracting #4: cost 142 inf + 932 23.928 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.939 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.947 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.957 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.969 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.969 * [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))))) 23.970 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.970 * * [simplify]: iters left: 6 (14 enodes) 23.978 * * [simplify]: iters left: 5 (60 enodes) 23.998 * * [simplify]: iters left: 4 (98 enodes) 24.018 * * [simplify]: iters left: 3 (157 enodes) 24.059 * * [simplify]: iters left: 2 (290 enodes) 24.155 * * [simplify]: Extracting #0: cost 1 inf + 0 24.155 * * [simplify]: Extracting #1: cost 30 inf + 0 24.156 * * [simplify]: Extracting #2: cost 72 inf + 0 24.156 * * [simplify]: Extracting #3: cost 138 inf + 2 24.158 * * [simplify]: Extracting #4: cost 142 inf + 932 24.163 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.177 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.192 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.201 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.210 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.210 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 24.210 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 24.210 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 24.210 * * [simplify]: iters left: 6 (13 enodes) 24.215 * * [simplify]: iters left: 5 (57 enodes) 24.233 * * [simplify]: iters left: 4 (93 enodes) 24.249 * * [simplify]: iters left: 3 (148 enodes) 24.287 * * [simplify]: iters left: 2 (271 enodes) 24.396 * * [simplify]: iters left: 1 (495 enodes) 24.658 * * [simplify]: Extracting #0: cost 1 inf + 0 24.658 * * [simplify]: Extracting #1: cost 55 inf + 0 24.659 * * [simplify]: Extracting #2: cost 164 inf + 2 24.660 * * [simplify]: Extracting #3: cost 237 inf + 220 24.665 * * [simplify]: Extracting #4: cost 230 inf + 978 24.668 * * [simplify]: Extracting #5: cost 141 inf + 13550 24.675 * * [simplify]: Extracting #6: cost 75 inf + 38571 24.694 * * [simplify]: Extracting #7: cost 10 inf + 93049 24.721 * * [simplify]: Extracting #8: cost 0 inf + 100862 24.736 * * [simplify]: Extracting #9: cost 0 inf + 100439 24.751 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.751 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.751 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.751 * * [simplify]: iters left: 6 (13 enodes) 24.756 * * [simplify]: iters left: 5 (57 enodes) 24.768 * * [simplify]: iters left: 4 (95 enodes) 24.793 * * [simplify]: iters left: 3 (154 enodes) 24.850 * * [simplify]: iters left: 2 (287 enodes) 24.927 * * [simplify]: Extracting #0: cost 1 inf + 0 24.927 * * [simplify]: Extracting #1: cost 30 inf + 0 24.927 * * [simplify]: Extracting #2: cost 73 inf + 0 24.928 * * [simplify]: Extracting #3: cost 136 inf + 3 24.929 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.933 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.941 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.955 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.969 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.985 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.985 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 24.985 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.986 * * [simplify]: iters left: 6 (14 enodes) 24.993 * * [simplify]: iters left: 5 (60 enodes) 25.017 * * [simplify]: iters left: 4 (98 enodes) 25.044 * * [simplify]: iters left: 3 (157 enodes) 25.076 * * [simplify]: iters left: 2 (290 enodes) 25.189 * * [simplify]: Extracting #0: cost 1 inf + 0 25.189 * * [simplify]: Extracting #1: cost 30 inf + 0 25.190 * * [simplify]: Extracting #2: cost 72 inf + 0 25.190 * * [simplify]: Extracting #3: cost 138 inf + 2 25.192 * * [simplify]: Extracting #4: cost 142 inf + 932 25.197 * * [simplify]: Extracting #5: cost 72 inf + 18102 25.210 * * [simplify]: Extracting #6: cost 10 inf + 44010 25.227 * * [simplify]: Extracting #7: cost 0 inf + 50022 25.244 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.261 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 25.261 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.262 * * [simplify]: iters left: 6 (14 enodes) 25.274 * * [simplify]: iters left: 5 (60 enodes) 25.294 * * [simplify]: iters left: 4 (98 enodes) 25.326 * * [simplify]: iters left: 3 (157 enodes) 25.364 * * [simplify]: iters left: 2 (290 enodes) 25.448 * * [simplify]: Extracting #0: cost 1 inf + 0 25.448 * * [simplify]: Extracting #1: cost 30 inf + 0 25.448 * * [simplify]: Extracting #2: cost 72 inf + 0 25.449 * * [simplify]: Extracting #3: cost 138 inf + 2 25.450 * * [simplify]: Extracting #4: cost 142 inf + 932 25.456 * * [simplify]: Extracting #5: cost 72 inf + 18102 25.470 * * [simplify]: Extracting #6: cost 10 inf + 44010 25.487 * * [simplify]: Extracting #7: cost 0 inf + 50022 25.504 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.523 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.523 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 25.523 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 25.523 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.524 * * [simplify]: iters left: 6 (12 enodes) 25.528 * * [simplify]: iters left: 5 (52 enodes) 25.538 * * [simplify]: iters left: 4 (90 enodes) 25.554 * * [simplify]: iters left: 3 (151 enodes) 25.609 * * [simplify]: iters left: 2 (287 enodes) 25.708 * * [simplify]: Extracting #0: cost 1 inf + 0 25.708 * * [simplify]: Extracting #1: cost 31 inf + 0 25.709 * * [simplify]: Extracting #2: cost 99 inf + 2 25.710 * * [simplify]: Extracting #3: cost 141 inf + 219 25.711 * * [simplify]: Extracting #4: cost 141 inf + 641 25.714 * * [simplify]: Extracting #5: cost 86 inf + 6314 25.722 * * [simplify]: Extracting #6: cost 34 inf + 26657 25.734 * * [simplify]: Extracting #7: cost 3 inf + 48037 25.747 * * [simplify]: Extracting #8: cost 0 inf + 50067 25.765 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.765 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.766 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.766 * * [simplify]: iters left: 6 (13 enodes) 25.774 * * [simplify]: iters left: 5 (57 enodes) 25.794 * * [simplify]: iters left: 4 (95 enodes) 25.820 * * [simplify]: iters left: 3 (154 enodes) 25.852 * * [simplify]: iters left: 2 (287 enodes) 25.929 * * [simplify]: Extracting #0: cost 1 inf + 0 25.929 * * [simplify]: Extracting #1: cost 30 inf + 0 25.930 * * [simplify]: Extracting #2: cost 73 inf + 0 25.930 * * [simplify]: Extracting #3: cost 136 inf + 3 25.932 * * [simplify]: Extracting #4: cost 132 inf + 1178 25.935 * * [simplify]: Extracting #5: cost 90 inf + 6800 25.944 * * [simplify]: Extracting #6: cost 20 inf + 38881 25.958 * * [simplify]: Extracting #7: cost 0 inf + 54585 25.973 * * [simplify]: Extracting #8: cost 0 inf + 54374 25.991 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.991 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.991 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.991 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.991 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.991 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.991 * [simplify]: Simplifying (cbrt (sqrt k)) 25.992 * * [simplify]: iters left: 2 (3 enodes) 25.993 * * [simplify]: iters left: 1 (9 enodes) 25.995 * * [simplify]: Extracting #0: cost 1 inf + 0 25.995 * * [simplify]: Extracting #1: cost 3 inf + 0 25.995 * * [simplify]: Extracting #2: cost 5 inf + 0 25.995 * * [simplify]: Extracting #3: cost 4 inf + 1 25.996 * * [simplify]: Extracting #4: cost 0 inf + 325 25.996 * [simplify]: Simplified to (cbrt (sqrt k)) 25.996 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.996 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.996 * [simplify]: Simplifying (sqrt (cbrt k)) 25.996 * * [simplify]: iters left: 2 (3 enodes) 25.997 * * [simplify]: iters left: 1 (9 enodes) 26.000 * * [simplify]: Extracting #0: cost 1 inf + 0 26.000 * * [simplify]: Extracting #1: cost 3 inf + 0 26.000 * * [simplify]: Extracting #2: cost 5 inf + 0 26.000 * * [simplify]: Extracting #3: cost 4 inf + 1 26.000 * * [simplify]: Extracting #4: cost 0 inf + 405 26.000 * [simplify]: Simplified to (sqrt (cbrt k)) 26.000 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 26.000 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 26.001 * [simplify]: Simplifying (sqrt (sqrt k)) 26.001 * * [simplify]: iters left: 2 (3 enodes) 26.002 * * [simplify]: iters left: 1 (9 enodes) 26.005 * * [simplify]: Extracting #0: cost 1 inf + 0 26.005 * * [simplify]: Extracting #1: cost 3 inf + 0 26.005 * * [simplify]: Extracting #2: cost 5 inf + 0 26.005 * * [simplify]: Extracting #3: cost 4 inf + 1 26.005 * * [simplify]: Extracting #4: cost 0 inf + 245 26.006 * [simplify]: Simplified to (sqrt (sqrt k)) 26.006 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.006 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 26.006 * [simplify]: Simplifying (sqrt k) 26.006 * * [simplify]: iters left: 1 (2 enodes) 26.007 * * [simplify]: Extracting #0: cost 1 inf + 0 26.007 * * [simplify]: Extracting #1: cost 3 inf + 0 26.007 * * [simplify]: Extracting #2: cost 2 inf + 1 26.007 * * [simplify]: Extracting #3: cost 0 inf + 83 26.007 * [simplify]: Simplified to (sqrt k) 26.007 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 26.007 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 26.008 * [simplify]: Simplifying (sqrt (sqrt k)) 26.008 * * [simplify]: iters left: 2 (3 enodes) 26.009 * * [simplify]: iters left: 1 (9 enodes) 26.011 * * [simplify]: Extracting #0: cost 1 inf + 0 26.011 * * [simplify]: Extracting #1: cost 3 inf + 0 26.011 * * [simplify]: Extracting #2: cost 5 inf + 0 26.011 * * [simplify]: Extracting #3: cost 4 inf + 1 26.011 * * [simplify]: Extracting #4: cost 0 inf + 245 26.012 * [simplify]: Simplified to (sqrt (sqrt k)) 26.012 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.012 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 26.012 * [simplify]: Simplifying (sqrt k) 26.012 * * [simplify]: iters left: 1 (2 enodes) 26.013 * * [simplify]: Extracting #0: cost 1 inf + 0 26.013 * * [simplify]: Extracting #1: cost 3 inf + 0 26.013 * * [simplify]: Extracting #2: cost 2 inf + 1 26.013 * * [simplify]: Extracting #3: cost 0 inf + 83 26.013 * [simplify]: Simplified to (sqrt k) 26.013 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 26.013 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 26.014 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 26.014 * * [simplify]: iters left: 5 (7 enodes) 26.019 * * [simplify]: iters left: 4 (32 enodes) 26.031 * * [simplify]: iters left: 3 (57 enodes) 26.042 * * [simplify]: iters left: 2 (88 enodes) 26.059 * * [simplify]: iters left: 1 (156 enodes) 26.119 * * [simplify]: Extracting #0: cost 1 inf + 0 26.119 * * [simplify]: Extracting #1: cost 13 inf + 0 26.119 * * [simplify]: Extracting #2: cost 49 inf + 2 26.119 * * [simplify]: Extracting #3: cost 80 inf + 6 26.120 * * [simplify]: Extracting #4: cost 58 inf + 1840 26.124 * * [simplify]: Extracting #5: cost 22 inf + 9206 26.128 * * [simplify]: Extracting #6: cost 1 inf + 20886 26.131 * * [simplify]: Extracting #7: cost 0 inf + 21301 26.134 * * [simplify]: Extracting #8: cost 0 inf + 21130 26.137 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 26.137 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 26.137 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 26.137 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 26.137 * * [simplify]: iters left: 6 (12 enodes) 26.141 * * [simplify]: iters left: 5 (51 enodes) 26.151 * * [simplify]: iters left: 4 (84 enodes) 26.167 * * [simplify]: iters left: 3 (125 enodes) 26.201 * * [simplify]: iters left: 2 (198 enodes) 26.260 * * [simplify]: iters left: 1 (353 enodes) 26.419 * * [simplify]: Extracting #0: cost 1 inf + 0 26.419 * * [simplify]: Extracting #1: cost 3 inf + 0 26.419 * * [simplify]: Extracting #2: cost 5 inf + 0 26.419 * * [simplify]: Extracting #3: cost 28 inf + 0 26.420 * * [simplify]: Extracting #4: cost 101 inf + 1 26.420 * * [simplify]: Extracting #5: cost 136 inf + 176 26.424 * * [simplify]: Extracting #6: cost 127 inf + 1730 26.426 * * [simplify]: Extracting #7: cost 68 inf + 14428 26.433 * * [simplify]: Extracting #8: cost 24 inf + 38979 26.444 * * [simplify]: Extracting #9: cost 0 inf + 59741 26.459 * * [simplify]: Extracting #10: cost 0 inf + 57850 26.479 * * [simplify]: Extracting #11: cost 0 inf + 57436 26.500 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.500 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.500 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 26.501 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.501 * * [simplify]: iters left: 6 (11 enodes) 26.505 * * [simplify]: iters left: 5 (48 enodes) 26.514 * * [simplify]: iters left: 4 (78 enodes) 26.527 * * [simplify]: iters left: 3 (120 enodes) 26.552 * * [simplify]: iters left: 2 (211 enodes) 26.627 * * [simplify]: iters left: 1 (378 enodes) 26.765 * * [simplify]: Extracting #0: cost 1 inf + 0 26.765 * * [simplify]: Extracting #1: cost 4 inf + 0 26.765 * * [simplify]: Extracting #2: cost 28 inf + 0 26.766 * * [simplify]: Extracting #3: cost 111 inf + 1 26.766 * * [simplify]: Extracting #4: cost 151 inf + 220 26.768 * * [simplify]: Extracting #5: cost 149 inf + 601 26.770 * * [simplify]: Extracting #6: cost 109 inf + 5630 26.779 * * [simplify]: Extracting #7: cost 43 inf + 25793 26.796 * * [simplify]: Extracting #8: cost 5 inf + 52343 26.817 * * [simplify]: Extracting #9: cost 0 inf + 56629 26.830 * * [simplify]: Extracting #10: cost 0 inf + 55972 26.840 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.841 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.841 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 26.841 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 26.841 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.841 * * [simplify]: iters left: 6 (11 enodes) 26.845 * * [simplify]: iters left: 5 (51 enodes) 26.856 * * [simplify]: iters left: 4 (87 enodes) 26.875 * * [simplify]: iters left: 3 (143 enodes) 26.915 * * [simplify]: iters left: 2 (259 enodes) 27.016 * * [simplify]: iters left: 1 (467 enodes) 27.202 * * [simplify]: Extracting #0: cost 1 inf + 0 27.202 * * [simplify]: Extracting #1: cost 23 inf + 0 27.203 * * [simplify]: Extracting #2: cost 99 inf + 1 27.203 * * [simplify]: Extracting #3: cost 180 inf + 178 27.204 * * [simplify]: Extracting #4: cost 162 inf + 2505 27.208 * * [simplify]: Extracting #5: cost 78 inf + 12096 27.213 * * [simplify]: Extracting #6: cost 33 inf + 29460 27.223 * * [simplify]: Extracting #7: cost 1 inf + 56926 27.240 * * [simplify]: Extracting #8: cost 0 inf + 57804 27.260 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 27.261 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 27.261 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 27.261 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 27.261 * * [simplify]: iters left: 5 (8 enodes) 27.266 * * [simplify]: iters left: 4 (35 enodes) 27.274 * * [simplify]: iters left: 3 (63 enodes) 27.287 * * [simplify]: iters left: 2 (108 enodes) 27.304 * * [simplify]: iters left: 1 (162 enodes) 27.338 * * [simplify]: Extracting #0: cost 1 inf + 0 27.338 * * [simplify]: Extracting #1: cost 12 inf + 0 27.338 * * [simplify]: Extracting #2: cost 40 inf + 2 27.338 * * [simplify]: Extracting #3: cost 40 inf + 9 27.339 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.339 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.341 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.343 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.343 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.343 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.343 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 27.343 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 27.343 * * [simplify]: iters left: 6 (37 enodes) 27.357 * * [simplify]: iters left: 5 (187 enodes) 27.412 * * [simplify]: iters left: 4 (488 enodes) 27.633 * * [simplify]: Extracting #0: cost 1 inf + 0 27.633 * * [simplify]: Extracting #1: cost 57 inf + 0 27.634 * * [simplify]: Extracting #2: cost 294 inf + 0 27.636 * * [simplify]: Extracting #3: cost 524 inf + 199 27.639 * * [simplify]: Extracting #4: cost 512 inf + 6095 27.650 * * [simplify]: Extracting #5: cost 310 inf + 78036 27.730 * * [simplify]: Extracting #6: cost 40 inf + 220622 27.806 * * [simplify]: Extracting #7: cost 0 inf + 244981 27.910 * * [simplify]: Extracting #8: cost 0 inf + 243455 28.013 * * [simplify]: Extracting #9: cost 0 inf + 243454 28.082 * [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)))))))) 28.082 * [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))) 28.082 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 28.083 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 28.083 * * [simplify]: iters left: 6 (15 enodes) 28.092 * * [simplify]: iters left: 5 (65 enodes) 28.113 * * [simplify]: iters left: 4 (123 enodes) 28.165 * * [simplify]: iters left: 3 (361 enodes) 28.348 * * [simplify]: Extracting #0: cost 1 inf + 0 28.348 * * [simplify]: Extracting #1: cost 37 inf + 0 28.349 * * [simplify]: Extracting #2: cost 213 inf + 72 28.352 * * [simplify]: Extracting #3: cost 350 inf + 1716 28.360 * * [simplify]: Extracting #4: cost 221 inf + 30028 28.384 * * [simplify]: Extracting #5: cost 33 inf + 78046 28.414 * * [simplify]: Extracting #6: cost 1 inf + 88785 28.433 * * [simplify]: Extracting #7: cost 0 inf + 88926 28.448 * * [simplify]: Extracting #8: cost 0 inf + 88841 28.463 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 28.463 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 28.463 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 28.463 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 28.463 * * [simplify]: iters left: 6 (16 enodes) 28.469 * * [simplify]: iters left: 5 (67 enodes) 28.492 * * [simplify]: iters left: 4 (134 enodes) 28.529 * * [simplify]: iters left: 3 (407 enodes) 28.754 * * [simplify]: Extracting #0: cost 1 inf + 0 28.754 * * [simplify]: Extracting #1: cost 39 inf + 0 28.755 * * [simplify]: Extracting #2: cost 241 inf + 72 28.756 * * [simplify]: Extracting #3: cost 449 inf + 888 28.762 * * [simplify]: Extracting #4: cost 283 inf + 39678 28.780 * * [simplify]: Extracting #5: cost 24 inf + 116942 28.822 * * [simplify]: Extracting #6: cost 0 inf + 121984 28.868 * * [simplify]: Extracting #7: cost 0 inf + 121983 28.911 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.911 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 28.911 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 28.912 * [simplify]: Simplifying (* 2 (* n PI)) 28.912 * * [simplify]: iters left: 4 (5 enodes) 28.915 * * [simplify]: iters left: 3 (19 enodes) 28.921 * * [simplify]: iters left: 2 (27 enodes) 28.926 * * [simplify]: iters left: 1 (32 enodes) 28.930 * * [simplify]: Extracting #0: cost 1 inf + 0 28.930 * * [simplify]: Extracting #1: cost 8 inf + 0 28.930 * * [simplify]: Extracting #2: cost 7 inf + 45 28.930 * * [simplify]: Extracting #3: cost 0 inf + 421 28.930 * [simplify]: Simplified to (* (* PI n) 2) 28.930 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.930 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 28.930 * [simplify]: Simplifying (* 2 (* n PI)) 28.930 * * [simplify]: iters left: 4 (5 enodes) 28.932 * * [simplify]: iters left: 3 (19 enodes) 28.935 * * [simplify]: iters left: 2 (27 enodes) 28.939 * * [simplify]: iters left: 1 (32 enodes) 28.944 * * [simplify]: Extracting #0: cost 1 inf + 0 28.944 * * [simplify]: Extracting #1: cost 8 inf + 0 28.944 * * [simplify]: Extracting #2: cost 7 inf + 45 28.944 * * [simplify]: Extracting #3: cost 0 inf + 421 28.945 * [simplify]: Simplified to (* (* PI n) 2) 28.945 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.945 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 28.945 * [simplify]: Simplifying (* 2 (* n PI)) 28.945 * * [simplify]: iters left: 4 (5 enodes) 28.947 * * [simplify]: iters left: 3 (19 enodes) 28.950 * * [simplify]: iters left: 2 (27 enodes) 28.959 * * [simplify]: iters left: 1 (32 enodes) 28.967 * * [simplify]: Extracting #0: cost 1 inf + 0 28.967 * * [simplify]: Extracting #1: cost 8 inf + 0 28.968 * * [simplify]: Extracting #2: cost 7 inf + 45 28.968 * * [simplify]: Extracting #3: cost 0 inf + 421 28.968 * [simplify]: Simplified to (* (* PI n) 2) 28.968 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.968 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 28.969 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 28.969 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.969 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 28.970 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 28.970 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.970 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 28.970 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 28.970 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.971 * * * [progress]: adding candidates to table 30.302 * * [progress]: iteration 2 / 4 30.302 * * * [progress]: picking best candidate 30.328 * * * * [pick]: Picked # 30.328 * * * [progress]: localizing error 30.358 * * * [progress]: generating rewritten candidates 30.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 30.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 30.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 30.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 30.456 * * * [progress]: generating series expansions 30.456 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 30.457 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 30.457 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 30.457 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.457 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.457 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.457 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.457 * [taylor]: Taking taylor expansion of 1/2 in k 30.457 * [backup-simplify]: Simplify 1/2 into 1/2 30.457 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.457 * [taylor]: Taking taylor expansion of 1 in k 30.457 * [backup-simplify]: Simplify 1 into 1 30.457 * [taylor]: Taking taylor expansion of k in k 30.457 * [backup-simplify]: Simplify 0 into 0 30.457 * [backup-simplify]: Simplify 1 into 1 30.457 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.457 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.457 * [taylor]: Taking taylor expansion of 2 in k 30.457 * [backup-simplify]: Simplify 2 into 2 30.457 * [taylor]: Taking taylor expansion of (* n PI) in k 30.457 * [taylor]: Taking taylor expansion of n in k 30.457 * [backup-simplify]: Simplify n into n 30.457 * [taylor]: Taking taylor expansion of PI in k 30.457 * [backup-simplify]: Simplify PI into PI 30.457 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.457 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.457 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.457 * [backup-simplify]: Simplify (- 0) into 0 30.458 * [backup-simplify]: Simplify (+ 1 0) into 1 30.458 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.458 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.458 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.458 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.458 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.458 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.458 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.458 * [taylor]: Taking taylor expansion of 1/2 in n 30.458 * [backup-simplify]: Simplify 1/2 into 1/2 30.458 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.458 * [taylor]: Taking taylor expansion of 1 in n 30.458 * [backup-simplify]: Simplify 1 into 1 30.458 * [taylor]: Taking taylor expansion of k in n 30.458 * [backup-simplify]: Simplify k into k 30.458 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.458 * [taylor]: Taking taylor expansion of 2 in n 30.458 * [backup-simplify]: Simplify 2 into 2 30.458 * [taylor]: Taking taylor expansion of (* n PI) in n 30.458 * [taylor]: Taking taylor expansion of n in n 30.458 * [backup-simplify]: Simplify 0 into 0 30.458 * [backup-simplify]: Simplify 1 into 1 30.458 * [taylor]: Taking taylor expansion of PI in n 30.458 * [backup-simplify]: Simplify PI into PI 30.459 * [backup-simplify]: Simplify (* 0 PI) into 0 30.459 * [backup-simplify]: Simplify (* 2 0) into 0 30.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.461 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.462 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.462 * [backup-simplify]: Simplify (- k) into (- k) 30.462 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.462 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.462 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.463 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.464 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.464 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.464 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.464 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.464 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.464 * [taylor]: Taking taylor expansion of 1/2 in n 30.464 * [backup-simplify]: Simplify 1/2 into 1/2 30.464 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.464 * [taylor]: Taking taylor expansion of 1 in n 30.464 * [backup-simplify]: Simplify 1 into 1 30.464 * [taylor]: Taking taylor expansion of k in n 30.464 * [backup-simplify]: Simplify k into k 30.464 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.464 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.464 * [taylor]: Taking taylor expansion of 2 in n 30.464 * [backup-simplify]: Simplify 2 into 2 30.464 * [taylor]: Taking taylor expansion of (* n PI) in n 30.464 * [taylor]: Taking taylor expansion of n in n 30.464 * [backup-simplify]: Simplify 0 into 0 30.464 * [backup-simplify]: Simplify 1 into 1 30.464 * [taylor]: Taking taylor expansion of PI in n 30.464 * [backup-simplify]: Simplify PI into PI 30.464 * [backup-simplify]: Simplify (* 0 PI) into 0 30.465 * [backup-simplify]: Simplify (* 2 0) into 0 30.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.466 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.467 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.467 * [backup-simplify]: Simplify (- k) into (- k) 30.467 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.467 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.469 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.470 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.470 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 30.470 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 30.470 * [taylor]: Taking taylor expansion of 1/2 in k 30.470 * [backup-simplify]: Simplify 1/2 into 1/2 30.470 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 30.470 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.470 * [taylor]: Taking taylor expansion of 1 in k 30.470 * [backup-simplify]: Simplify 1 into 1 30.470 * [taylor]: Taking taylor expansion of k in k 30.470 * [backup-simplify]: Simplify 0 into 0 30.470 * [backup-simplify]: Simplify 1 into 1 30.470 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 30.470 * [taylor]: Taking taylor expansion of (log n) in k 30.470 * [taylor]: Taking taylor expansion of n in k 30.470 * [backup-simplify]: Simplify n into n 30.470 * [backup-simplify]: Simplify (log n) into (log n) 30.470 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.470 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.470 * [taylor]: Taking taylor expansion of 2 in k 30.470 * [backup-simplify]: Simplify 2 into 2 30.470 * [taylor]: Taking taylor expansion of PI in k 30.470 * [backup-simplify]: Simplify PI into PI 30.471 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.472 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.472 * [backup-simplify]: Simplify (- 0) into 0 30.472 * [backup-simplify]: Simplify (+ 1 0) into 1 30.473 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.475 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 30.476 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 30.477 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.478 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 30.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.482 * [backup-simplify]: Simplify (- 0) into 0 30.482 * [backup-simplify]: Simplify (+ 0 0) into 0 30.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.484 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.485 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.487 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.487 * [taylor]: Taking taylor expansion of 0 in k 30.487 * [backup-simplify]: Simplify 0 into 0 30.487 * [backup-simplify]: Simplify 0 into 0 30.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.491 * [backup-simplify]: Simplify (+ 0 0) into 0 30.491 * [backup-simplify]: Simplify (- 1) into -1 30.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.493 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 30.495 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 30.498 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.501 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 30.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.507 * [backup-simplify]: Simplify (- 0) into 0 30.508 * [backup-simplify]: Simplify (+ 0 0) into 0 30.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.510 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.511 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.514 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.514 * [taylor]: Taking taylor expansion of 0 in k 30.514 * [backup-simplify]: Simplify 0 into 0 30.514 * [backup-simplify]: Simplify 0 into 0 30.514 * [backup-simplify]: Simplify 0 into 0 30.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.520 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.520 * [backup-simplify]: Simplify (+ 0 0) into 0 30.521 * [backup-simplify]: Simplify (- 0) into 0 30.521 * [backup-simplify]: Simplify (+ 0 0) into 0 30.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 30.528 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 30.531 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 30.536 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 30.537 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 30.537 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 30.537 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.537 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.537 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.537 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.537 * [taylor]: Taking taylor expansion of 1/2 in k 30.537 * [backup-simplify]: Simplify 1/2 into 1/2 30.537 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.537 * [taylor]: Taking taylor expansion of 1 in k 30.537 * [backup-simplify]: Simplify 1 into 1 30.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.537 * [taylor]: Taking taylor expansion of k in k 30.537 * [backup-simplify]: Simplify 0 into 0 30.537 * [backup-simplify]: Simplify 1 into 1 30.537 * [backup-simplify]: Simplify (/ 1 1) into 1 30.537 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.537 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.537 * [taylor]: Taking taylor expansion of 2 in k 30.537 * [backup-simplify]: Simplify 2 into 2 30.537 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.537 * [taylor]: Taking taylor expansion of PI in k 30.537 * [backup-simplify]: Simplify PI into PI 30.537 * [taylor]: Taking taylor expansion of n in k 30.537 * [backup-simplify]: Simplify n into n 30.537 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.537 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.538 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.538 * [backup-simplify]: Simplify (- 1) into -1 30.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.538 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.538 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.538 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.538 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.539 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.539 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.539 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.539 * [taylor]: Taking taylor expansion of 1/2 in n 30.539 * [backup-simplify]: Simplify 1/2 into 1/2 30.539 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.539 * [taylor]: Taking taylor expansion of 1 in n 30.539 * [backup-simplify]: Simplify 1 into 1 30.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.539 * [taylor]: Taking taylor expansion of k in n 30.539 * [backup-simplify]: Simplify k into k 30.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.539 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.539 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.539 * [taylor]: Taking taylor expansion of 2 in n 30.539 * [backup-simplify]: Simplify 2 into 2 30.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.539 * [taylor]: Taking taylor expansion of PI in n 30.539 * [backup-simplify]: Simplify PI into PI 30.539 * [taylor]: Taking taylor expansion of n in n 30.539 * [backup-simplify]: Simplify 0 into 0 30.539 * [backup-simplify]: Simplify 1 into 1 30.539 * [backup-simplify]: Simplify (/ PI 1) into PI 30.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.540 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.540 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.540 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.540 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.542 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.542 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.542 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.542 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.542 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.542 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.542 * [taylor]: Taking taylor expansion of 1/2 in n 30.542 * [backup-simplify]: Simplify 1/2 into 1/2 30.542 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.542 * [taylor]: Taking taylor expansion of 1 in n 30.543 * [backup-simplify]: Simplify 1 into 1 30.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.543 * [taylor]: Taking taylor expansion of k in n 30.543 * [backup-simplify]: Simplify k into k 30.543 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.543 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.543 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.543 * [taylor]: Taking taylor expansion of 2 in n 30.543 * [backup-simplify]: Simplify 2 into 2 30.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.543 * [taylor]: Taking taylor expansion of PI in n 30.543 * [backup-simplify]: Simplify PI into PI 30.543 * [taylor]: Taking taylor expansion of n in n 30.543 * [backup-simplify]: Simplify 0 into 0 30.543 * [backup-simplify]: Simplify 1 into 1 30.543 * [backup-simplify]: Simplify (/ PI 1) into PI 30.543 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.544 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.544 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.544 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.544 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.546 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.546 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.546 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 30.546 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 30.546 * [taylor]: Taking taylor expansion of 1/2 in k 30.546 * [backup-simplify]: Simplify 1/2 into 1/2 30.546 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 30.546 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.546 * [taylor]: Taking taylor expansion of 1 in k 30.546 * [backup-simplify]: Simplify 1 into 1 30.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.546 * [taylor]: Taking taylor expansion of k in k 30.546 * [backup-simplify]: Simplify 0 into 0 30.546 * [backup-simplify]: Simplify 1 into 1 30.551 * [backup-simplify]: Simplify (/ 1 1) into 1 30.551 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 30.551 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.551 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.551 * [taylor]: Taking taylor expansion of 2 in k 30.551 * [backup-simplify]: Simplify 2 into 2 30.551 * [taylor]: Taking taylor expansion of PI in k 30.551 * [backup-simplify]: Simplify PI into PI 30.552 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.552 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.552 * [taylor]: Taking taylor expansion of (log n) in k 30.552 * [taylor]: Taking taylor expansion of n in k 30.553 * [backup-simplify]: Simplify n into n 30.553 * [backup-simplify]: Simplify (log n) into (log n) 30.553 * [backup-simplify]: Simplify (- 1) into -1 30.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.553 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.554 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 30.554 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 30.555 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 30.556 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.556 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.557 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.559 * [backup-simplify]: Simplify (- 0) into 0 30.559 * [backup-simplify]: Simplify (+ 0 0) into 0 30.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.561 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.562 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.562 * [taylor]: Taking taylor expansion of 0 in k 30.562 * [backup-simplify]: Simplify 0 into 0 30.562 * [backup-simplify]: Simplify 0 into 0 30.562 * [backup-simplify]: Simplify 0 into 0 30.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.567 * [backup-simplify]: Simplify (- 0) into 0 30.567 * [backup-simplify]: Simplify (+ 0 0) into 0 30.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.570 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 30.571 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.571 * [taylor]: Taking taylor expansion of 0 in k 30.571 * [backup-simplify]: Simplify 0 into 0 30.571 * [backup-simplify]: Simplify 0 into 0 30.571 * [backup-simplify]: Simplify 0 into 0 30.571 * [backup-simplify]: Simplify 0 into 0 30.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.575 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.576 * [backup-simplify]: Simplify (- 0) into 0 30.576 * [backup-simplify]: Simplify (+ 0 0) into 0 30.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.579 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 30.580 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.580 * [taylor]: Taking taylor expansion of 0 in k 30.580 * [backup-simplify]: Simplify 0 into 0 30.580 * [backup-simplify]: Simplify 0 into 0 30.581 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 30.581 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 30.581 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 30.582 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.582 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.582 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.582 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.582 * [taylor]: Taking taylor expansion of 1/2 in k 30.582 * [backup-simplify]: Simplify 1/2 into 1/2 30.582 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.582 * [taylor]: Taking taylor expansion of k in k 30.582 * [backup-simplify]: Simplify 0 into 0 30.582 * [backup-simplify]: Simplify 1 into 1 30.582 * [backup-simplify]: Simplify (/ 1 1) into 1 30.582 * [taylor]: Taking taylor expansion of 1 in k 30.582 * [backup-simplify]: Simplify 1 into 1 30.582 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.582 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.582 * [taylor]: Taking taylor expansion of -2 in k 30.582 * [backup-simplify]: Simplify -2 into -2 30.582 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.582 * [taylor]: Taking taylor expansion of PI in k 30.582 * [backup-simplify]: Simplify PI into PI 30.582 * [taylor]: Taking taylor expansion of n in k 30.582 * [backup-simplify]: Simplify n into n 30.582 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.582 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.582 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.583 * [backup-simplify]: Simplify (+ 1 0) into 1 30.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.583 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.583 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.583 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.583 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.583 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.583 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.583 * [taylor]: Taking taylor expansion of 1/2 in n 30.583 * [backup-simplify]: Simplify 1/2 into 1/2 30.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.583 * [taylor]: Taking taylor expansion of k in n 30.583 * [backup-simplify]: Simplify k into k 30.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.583 * [taylor]: Taking taylor expansion of 1 in n 30.583 * [backup-simplify]: Simplify 1 into 1 30.583 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.583 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.583 * [taylor]: Taking taylor expansion of -2 in n 30.583 * [backup-simplify]: Simplify -2 into -2 30.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.583 * [taylor]: Taking taylor expansion of PI in n 30.583 * [backup-simplify]: Simplify PI into PI 30.583 * [taylor]: Taking taylor expansion of n in n 30.583 * [backup-simplify]: Simplify 0 into 0 30.583 * [backup-simplify]: Simplify 1 into 1 30.584 * [backup-simplify]: Simplify (/ PI 1) into PI 30.584 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.585 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.585 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.585 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.586 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.587 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.587 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.587 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.587 * [taylor]: Taking taylor expansion of 1/2 in n 30.587 * [backup-simplify]: Simplify 1/2 into 1/2 30.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.587 * [taylor]: Taking taylor expansion of k in n 30.587 * [backup-simplify]: Simplify k into k 30.587 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.587 * [taylor]: Taking taylor expansion of 1 in n 30.587 * [backup-simplify]: Simplify 1 into 1 30.587 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.587 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.587 * [taylor]: Taking taylor expansion of -2 in n 30.587 * [backup-simplify]: Simplify -2 into -2 30.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.587 * [taylor]: Taking taylor expansion of PI in n 30.587 * [backup-simplify]: Simplify PI into PI 30.587 * [taylor]: Taking taylor expansion of n in n 30.587 * [backup-simplify]: Simplify 0 into 0 30.587 * [backup-simplify]: Simplify 1 into 1 30.588 * [backup-simplify]: Simplify (/ PI 1) into PI 30.588 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.588 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.589 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.589 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.591 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.591 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.592 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 30.592 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 30.592 * [taylor]: Taking taylor expansion of 1/2 in k 30.592 * [backup-simplify]: Simplify 1/2 into 1/2 30.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 30.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.592 * [taylor]: Taking taylor expansion of k in k 30.592 * [backup-simplify]: Simplify 0 into 0 30.592 * [backup-simplify]: Simplify 1 into 1 30.592 * [backup-simplify]: Simplify (/ 1 1) into 1 30.592 * [taylor]: Taking taylor expansion of 1 in k 30.592 * [backup-simplify]: Simplify 1 into 1 30.592 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 30.592 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 30.592 * [taylor]: Taking taylor expansion of (* -2 PI) in k 30.592 * [taylor]: Taking taylor expansion of -2 in k 30.592 * [backup-simplify]: Simplify -2 into -2 30.592 * [taylor]: Taking taylor expansion of PI in k 30.592 * [backup-simplify]: Simplify PI into PI 30.592 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.593 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.593 * [taylor]: Taking taylor expansion of (log n) in k 30.593 * [taylor]: Taking taylor expansion of n in k 30.593 * [backup-simplify]: Simplify n into n 30.593 * [backup-simplify]: Simplify (log n) into (log n) 30.593 * [backup-simplify]: Simplify (+ 1 0) into 1 30.593 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.594 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 30.595 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 30.595 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 30.596 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.597 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.598 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 30.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.599 * [backup-simplify]: Simplify (+ 0 0) into 0 30.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.601 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 30.602 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.602 * [taylor]: Taking taylor expansion of 0 in k 30.603 * [backup-simplify]: Simplify 0 into 0 30.603 * [backup-simplify]: Simplify 0 into 0 30.603 * [backup-simplify]: Simplify 0 into 0 30.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.605 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 30.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.609 * [backup-simplify]: Simplify (+ 0 0) into 0 30.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.613 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 30.614 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.614 * [taylor]: Taking taylor expansion of 0 in k 30.615 * [backup-simplify]: Simplify 0 into 0 30.615 * [backup-simplify]: Simplify 0 into 0 30.615 * [backup-simplify]: Simplify 0 into 0 30.615 * [backup-simplify]: Simplify 0 into 0 30.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.616 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.619 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 30.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.619 * [backup-simplify]: Simplify (+ 0 0) into 0 30.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.622 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 30.624 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.624 * [taylor]: Taking taylor expansion of 0 in k 30.624 * [backup-simplify]: Simplify 0 into 0 30.624 * [backup-simplify]: Simplify 0 into 0 30.625 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 30.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 30.625 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 30.625 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 30.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.625 * [taylor]: Taking taylor expansion of k in k 30.625 * [backup-simplify]: Simplify 0 into 0 30.625 * [backup-simplify]: Simplify 1 into 1 30.625 * [backup-simplify]: Simplify (/ 1 1) into 1 30.625 * [backup-simplify]: Simplify (sqrt 0) into 0 30.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.626 * [taylor]: Taking taylor expansion of k in k 30.626 * [backup-simplify]: Simplify 0 into 0 30.626 * [backup-simplify]: Simplify 1 into 1 30.627 * [backup-simplify]: Simplify (/ 1 1) into 1 30.627 * [backup-simplify]: Simplify (sqrt 0) into 0 30.628 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.628 * [backup-simplify]: Simplify 0 into 0 30.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.630 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.633 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 30.633 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 30.633 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 30.633 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.633 * [taylor]: Taking taylor expansion of k in k 30.633 * [backup-simplify]: Simplify 0 into 0 30.633 * [backup-simplify]: Simplify 1 into 1 30.633 * [backup-simplify]: Simplify (sqrt 0) into 0 30.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.634 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.634 * [taylor]: Taking taylor expansion of k in k 30.634 * [backup-simplify]: Simplify 0 into 0 30.634 * [backup-simplify]: Simplify 1 into 1 30.634 * [backup-simplify]: Simplify (sqrt 0) into 0 30.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.635 * [backup-simplify]: Simplify 0 into 0 30.635 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.637 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.637 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.639 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.640 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 30.640 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 30.640 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 30.640 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.640 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.640 * [taylor]: Taking taylor expansion of -1 in k 30.640 * [backup-simplify]: Simplify -1 into -1 30.640 * [taylor]: Taking taylor expansion of k in k 30.640 * [backup-simplify]: Simplify 0 into 0 30.640 * [backup-simplify]: Simplify 1 into 1 30.640 * [backup-simplify]: Simplify (/ -1 1) into -1 30.640 * [backup-simplify]: Simplify (sqrt 0) into 0 30.641 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.641 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.641 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 30.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.641 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.641 * [taylor]: Taking taylor expansion of -1 in k 30.641 * [backup-simplify]: Simplify -1 into -1 30.641 * [taylor]: Taking taylor expansion of k in k 30.641 * [backup-simplify]: Simplify 0 into 0 30.641 * [backup-simplify]: Simplify 1 into 1 30.647 * [backup-simplify]: Simplify (/ -1 1) into -1 30.648 * [backup-simplify]: Simplify (sqrt 0) into 0 30.650 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.650 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 30.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.654 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.655 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 30.656 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.661 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 30.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 30.662 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 30.662 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 30.662 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.662 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 30.662 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.662 * [taylor]: Taking taylor expansion of 2 in n 30.662 * [backup-simplify]: Simplify 2 into 2 30.662 * [taylor]: Taking taylor expansion of (* n PI) in n 30.662 * [taylor]: Taking taylor expansion of n in n 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 1 into 1 30.662 * [taylor]: Taking taylor expansion of PI in n 30.662 * [backup-simplify]: Simplify PI into PI 30.662 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.662 * [taylor]: Taking taylor expansion of 2 in n 30.662 * [backup-simplify]: Simplify 2 into 2 30.662 * [taylor]: Taking taylor expansion of (* n PI) in n 30.662 * [taylor]: Taking taylor expansion of n in n 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 1 into 1 30.662 * [taylor]: Taking taylor expansion of PI in n 30.662 * [backup-simplify]: Simplify PI into PI 30.663 * [backup-simplify]: Simplify (* 0 PI) into 0 30.663 * [backup-simplify]: Simplify (* 2 0) into 0 30.663 * [backup-simplify]: Simplify 0 into 0 30.664 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.665 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.666 * [backup-simplify]: Simplify 0 into 0 30.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.668 * [backup-simplify]: Simplify 0 into 0 30.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.670 * [backup-simplify]: Simplify 0 into 0 30.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 30.672 * [backup-simplify]: Simplify 0 into 0 30.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 30.674 * [backup-simplify]: Simplify 0 into 0 30.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 30.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 30.676 * [backup-simplify]: Simplify 0 into 0 30.676 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 30.676 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 30.676 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 30.676 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.676 * [taylor]: Taking taylor expansion of 2 in n 30.676 * [backup-simplify]: Simplify 2 into 2 30.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.676 * [taylor]: Taking taylor expansion of PI in n 30.676 * [backup-simplify]: Simplify PI into PI 30.676 * [taylor]: Taking taylor expansion of n in n 30.676 * [backup-simplify]: Simplify 0 into 0 30.677 * [backup-simplify]: Simplify 1 into 1 30.677 * [backup-simplify]: Simplify (/ PI 1) into PI 30.677 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.677 * [taylor]: Taking taylor expansion of 2 in n 30.677 * [backup-simplify]: Simplify 2 into 2 30.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.677 * [taylor]: Taking taylor expansion of PI in n 30.677 * [backup-simplify]: Simplify PI into PI 30.677 * [taylor]: Taking taylor expansion of n in n 30.677 * [backup-simplify]: Simplify 0 into 0 30.677 * [backup-simplify]: Simplify 1 into 1 30.677 * [backup-simplify]: Simplify (/ PI 1) into PI 30.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.678 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.679 * [backup-simplify]: Simplify 0 into 0 30.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.680 * [backup-simplify]: Simplify 0 into 0 30.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.681 * [backup-simplify]: Simplify 0 into 0 30.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.683 * [backup-simplify]: Simplify 0 into 0 30.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.684 * [backup-simplify]: Simplify 0 into 0 30.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.686 * [backup-simplify]: Simplify 0 into 0 30.686 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 30.686 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 30.686 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 30.686 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.686 * [taylor]: Taking taylor expansion of -2 in n 30.686 * [backup-simplify]: Simplify -2 into -2 30.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.686 * [taylor]: Taking taylor expansion of PI in n 30.686 * [backup-simplify]: Simplify PI into PI 30.686 * [taylor]: Taking taylor expansion of n in n 30.686 * [backup-simplify]: Simplify 0 into 0 30.686 * [backup-simplify]: Simplify 1 into 1 30.687 * [backup-simplify]: Simplify (/ PI 1) into PI 30.687 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.687 * [taylor]: Taking taylor expansion of -2 in n 30.687 * [backup-simplify]: Simplify -2 into -2 30.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.687 * [taylor]: Taking taylor expansion of PI in n 30.687 * [backup-simplify]: Simplify PI into PI 30.687 * [taylor]: Taking taylor expansion of n in n 30.687 * [backup-simplify]: Simplify 0 into 0 30.687 * [backup-simplify]: Simplify 1 into 1 30.687 * [backup-simplify]: Simplify (/ PI 1) into PI 30.688 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.688 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.689 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 30.689 * [backup-simplify]: Simplify 0 into 0 30.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.690 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 30.690 * [backup-simplify]: Simplify 0 into 0 30.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.692 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.692 * [backup-simplify]: Simplify 0 into 0 30.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.693 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.693 * [backup-simplify]: Simplify 0 into 0 30.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.694 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 30.694 * [backup-simplify]: Simplify 0 into 0 30.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.696 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 30.696 * [backup-simplify]: Simplify 0 into 0 30.696 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 30.696 * * * * [progress]: [ 4 / 4 ] generating series at (2) 30.697 * [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))) 30.697 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 30.697 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 30.697 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 30.697 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 30.697 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 30.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.697 * [taylor]: Taking taylor expansion of 1/2 in n 30.697 * [backup-simplify]: Simplify 1/2 into 1/2 30.697 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.697 * [taylor]: Taking taylor expansion of 1 in n 30.697 * [backup-simplify]: Simplify 1 into 1 30.697 * [taylor]: Taking taylor expansion of k in n 30.697 * [backup-simplify]: Simplify k into k 30.697 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.697 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.697 * [taylor]: Taking taylor expansion of 2 in n 30.697 * [backup-simplify]: Simplify 2 into 2 30.697 * [taylor]: Taking taylor expansion of (* n PI) in n 30.697 * [taylor]: Taking taylor expansion of n in n 30.697 * [backup-simplify]: Simplify 0 into 0 30.697 * [backup-simplify]: Simplify 1 into 1 30.697 * [taylor]: Taking taylor expansion of PI in n 30.697 * [backup-simplify]: Simplify PI into PI 30.697 * [backup-simplify]: Simplify (* 0 PI) into 0 30.698 * [backup-simplify]: Simplify (* 2 0) into 0 30.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.700 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.702 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.702 * [backup-simplify]: Simplify (- k) into (- k) 30.702 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.702 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.703 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.704 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 30.705 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 30.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 30.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.705 * [taylor]: Taking taylor expansion of k in n 30.705 * [backup-simplify]: Simplify k into k 30.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.705 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 30.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 30.706 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 30.706 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.706 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.706 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.706 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.706 * [taylor]: Taking taylor expansion of 1/2 in k 30.706 * [backup-simplify]: Simplify 1/2 into 1/2 30.706 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.706 * [taylor]: Taking taylor expansion of 1 in k 30.706 * [backup-simplify]: Simplify 1 into 1 30.706 * [taylor]: Taking taylor expansion of k in k 30.706 * [backup-simplify]: Simplify 0 into 0 30.706 * [backup-simplify]: Simplify 1 into 1 30.706 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.706 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.706 * [taylor]: Taking taylor expansion of 2 in k 30.706 * [backup-simplify]: Simplify 2 into 2 30.706 * [taylor]: Taking taylor expansion of (* n PI) in k 30.706 * [taylor]: Taking taylor expansion of n in k 30.706 * [backup-simplify]: Simplify n into n 30.706 * [taylor]: Taking taylor expansion of PI in k 30.706 * [backup-simplify]: Simplify PI into PI 30.706 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.706 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.706 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.707 * [backup-simplify]: Simplify (- 0) into 0 30.707 * [backup-simplify]: Simplify (+ 1 0) into 1 30.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.708 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.708 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.708 * [taylor]: Taking taylor expansion of k in k 30.708 * [backup-simplify]: Simplify 0 into 0 30.708 * [backup-simplify]: Simplify 1 into 1 30.709 * [backup-simplify]: Simplify (/ 1 1) into 1 30.709 * [backup-simplify]: Simplify (sqrt 0) into 0 30.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.710 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 30.710 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 30.711 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 30.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 30.711 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.711 * [taylor]: Taking taylor expansion of 1/2 in k 30.711 * [backup-simplify]: Simplify 1/2 into 1/2 30.711 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.711 * [taylor]: Taking taylor expansion of 1 in k 30.711 * [backup-simplify]: Simplify 1 into 1 30.711 * [taylor]: Taking taylor expansion of k in k 30.711 * [backup-simplify]: Simplify 0 into 0 30.711 * [backup-simplify]: Simplify 1 into 1 30.711 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 30.711 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 30.711 * [taylor]: Taking taylor expansion of 2 in k 30.711 * [backup-simplify]: Simplify 2 into 2 30.711 * [taylor]: Taking taylor expansion of (* n PI) in k 30.711 * [taylor]: Taking taylor expansion of n in k 30.711 * [backup-simplify]: Simplify n into n 30.711 * [taylor]: Taking taylor expansion of PI in k 30.711 * [backup-simplify]: Simplify PI into PI 30.711 * [backup-simplify]: Simplify (* n PI) into (* n PI) 30.711 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 30.711 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 30.712 * [backup-simplify]: Simplify (- 0) into 0 30.712 * [backup-simplify]: Simplify (+ 1 0) into 1 30.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.713 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 30.713 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 30.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 30.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.713 * [taylor]: Taking taylor expansion of k in k 30.713 * [backup-simplify]: Simplify 0 into 0 30.713 * [backup-simplify]: Simplify 1 into 1 30.713 * [backup-simplify]: Simplify (/ 1 1) into 1 30.713 * [backup-simplify]: Simplify (sqrt 0) into 0 30.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.715 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 30.715 * [taylor]: Taking taylor expansion of 0 in n 30.715 * [backup-simplify]: Simplify 0 into 0 30.715 * [backup-simplify]: Simplify 0 into 0 30.716 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 30.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 30.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 30.717 * [backup-simplify]: Simplify (- 1) into -1 30.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.718 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 30.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 30.719 * [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))))) 30.720 * [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))))) 30.720 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 30.720 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.720 * [taylor]: Taking taylor expansion of +nan.0 in n 30.720 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.720 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.720 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.720 * [taylor]: Taking taylor expansion of 2 in n 30.720 * [backup-simplify]: Simplify 2 into 2 30.720 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.721 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.721 * [taylor]: Taking taylor expansion of (* n PI) in n 30.721 * [taylor]: Taking taylor expansion of n in n 30.721 * [backup-simplify]: Simplify 0 into 0 30.721 * [backup-simplify]: Simplify 1 into 1 30.721 * [taylor]: Taking taylor expansion of PI in n 30.721 * [backup-simplify]: Simplify PI into PI 30.721 * [backup-simplify]: Simplify (* 0 PI) into 0 30.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.723 * [backup-simplify]: Simplify (sqrt 0) into 0 30.724 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.725 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.725 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.726 * [backup-simplify]: Simplify (- 0) into 0 30.726 * [backup-simplify]: Simplify 0 into 0 30.726 * [backup-simplify]: Simplify 0 into 0 30.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.730 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 30.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 30.733 * [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 30.733 * [backup-simplify]: Simplify (- 0) into 0 30.733 * [backup-simplify]: Simplify (+ 0 0) into 0 30.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 30.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 30.736 * [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))) 30.737 * [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))))))) 30.737 * [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 30.737 * [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 30.737 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 30.737 * [taylor]: Taking taylor expansion of +nan.0 in n 30.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.737 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 30.737 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 30.737 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.737 * [taylor]: Taking taylor expansion of 2 in n 30.737 * [backup-simplify]: Simplify 2 into 2 30.738 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.739 * [taylor]: Taking taylor expansion of 2 in n 30.739 * [backup-simplify]: Simplify 2 into 2 30.739 * [taylor]: Taking taylor expansion of (* n PI) in n 30.739 * [taylor]: Taking taylor expansion of n in n 30.739 * [backup-simplify]: Simplify 0 into 0 30.739 * [backup-simplify]: Simplify 1 into 1 30.739 * [taylor]: Taking taylor expansion of PI in n 30.739 * [backup-simplify]: Simplify PI into PI 30.739 * [backup-simplify]: Simplify (* 0 PI) into 0 30.740 * [backup-simplify]: Simplify (* 2 0) into 0 30.741 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.743 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.744 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.744 * [taylor]: Taking taylor expansion of (* n PI) in n 30.744 * [taylor]: Taking taylor expansion of n in n 30.744 * [backup-simplify]: Simplify 0 into 0 30.744 * [backup-simplify]: Simplify 1 into 1 30.744 * [taylor]: Taking taylor expansion of PI in n 30.744 * [backup-simplify]: Simplify PI into PI 30.744 * [backup-simplify]: Simplify (* 0 PI) into 0 30.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.746 * [backup-simplify]: Simplify (sqrt 0) into 0 30.747 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 30.747 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.747 * [taylor]: Taking taylor expansion of +nan.0 in n 30.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.747 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.748 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.748 * [taylor]: Taking taylor expansion of 2 in n 30.748 * [backup-simplify]: Simplify 2 into 2 30.748 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.749 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.749 * [taylor]: Taking taylor expansion of (* n PI) in n 30.749 * [taylor]: Taking taylor expansion of n in n 30.749 * [backup-simplify]: Simplify 0 into 0 30.749 * [backup-simplify]: Simplify 1 into 1 30.749 * [taylor]: Taking taylor expansion of PI in n 30.749 * [backup-simplify]: Simplify PI into PI 30.749 * [backup-simplify]: Simplify (* 0 PI) into 0 30.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.751 * [backup-simplify]: Simplify (sqrt 0) into 0 30.753 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.754 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.755 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 30.757 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 30.763 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.764 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.764 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.765 * [backup-simplify]: Simplify (- 0) into 0 30.765 * [backup-simplify]: Simplify (+ 0 0) into 0 30.766 * [backup-simplify]: Simplify (- 0) into 0 30.766 * [backup-simplify]: Simplify 0 into 0 30.769 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.772 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.775 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.776 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.776 * [backup-simplify]: Simplify 0 into 0 30.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.780 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 30.782 * [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 30.782 * [backup-simplify]: Simplify (- 0) into 0 30.783 * [backup-simplify]: Simplify (+ 0 0) into 0 30.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 30.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 30.785 * [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))) 30.786 * [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))))))))) 30.786 * [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 30.786 * [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 30.786 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 30.786 * [taylor]: Taking taylor expansion of +nan.0 in n 30.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.786 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 30.786 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 30.786 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.786 * [taylor]: Taking taylor expansion of 2 in n 30.786 * [backup-simplify]: Simplify 2 into 2 30.786 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.787 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.787 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.787 * [taylor]: Taking taylor expansion of 2 in n 30.787 * [backup-simplify]: Simplify 2 into 2 30.787 * [taylor]: Taking taylor expansion of (* n PI) in n 30.787 * [taylor]: Taking taylor expansion of n in n 30.787 * [backup-simplify]: Simplify 0 into 0 30.787 * [backup-simplify]: Simplify 1 into 1 30.787 * [taylor]: Taking taylor expansion of PI in n 30.787 * [backup-simplify]: Simplify PI into PI 30.787 * [backup-simplify]: Simplify (* 0 PI) into 0 30.787 * [backup-simplify]: Simplify (* 2 0) into 0 30.788 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.789 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.790 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.790 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.790 * [taylor]: Taking taylor expansion of (* n PI) in n 30.790 * [taylor]: Taking taylor expansion of n in n 30.790 * [backup-simplify]: Simplify 0 into 0 30.790 * [backup-simplify]: Simplify 1 into 1 30.790 * [taylor]: Taking taylor expansion of PI in n 30.790 * [backup-simplify]: Simplify PI into PI 30.790 * [backup-simplify]: Simplify (* 0 PI) into 0 30.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.791 * [backup-simplify]: Simplify (sqrt 0) into 0 30.792 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.792 * [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 30.792 * [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 30.792 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 30.792 * [taylor]: Taking taylor expansion of +nan.0 in n 30.792 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.792 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 30.792 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.792 * [taylor]: Taking taylor expansion of 2 in n 30.792 * [backup-simplify]: Simplify 2 into 2 30.792 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.793 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.793 * [taylor]: Taking taylor expansion of (* n PI) in n 30.793 * [taylor]: Taking taylor expansion of n in n 30.793 * [backup-simplify]: Simplify 0 into 0 30.793 * [backup-simplify]: Simplify 1 into 1 30.793 * [taylor]: Taking taylor expansion of PI in n 30.793 * [backup-simplify]: Simplify PI into PI 30.793 * [backup-simplify]: Simplify (* 0 PI) into 0 30.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.794 * [backup-simplify]: Simplify (sqrt 0) into 0 30.795 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 30.795 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 30.795 * [taylor]: Taking taylor expansion of +nan.0 in n 30.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.795 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 30.795 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 30.795 * [taylor]: Taking taylor expansion of (sqrt 2) in n 30.795 * [taylor]: Taking taylor expansion of 2 in n 30.795 * [backup-simplify]: Simplify 2 into 2 30.796 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 30.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 30.796 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 30.796 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 30.796 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 30.796 * [taylor]: Taking taylor expansion of 2 in n 30.796 * [backup-simplify]: Simplify 2 into 2 30.796 * [taylor]: Taking taylor expansion of (* n PI) in n 30.796 * [taylor]: Taking taylor expansion of n in n 30.796 * [backup-simplify]: Simplify 0 into 0 30.796 * [backup-simplify]: Simplify 1 into 1 30.796 * [taylor]: Taking taylor expansion of PI in n 30.796 * [backup-simplify]: Simplify PI into PI 30.796 * [backup-simplify]: Simplify (* 0 PI) into 0 30.797 * [backup-simplify]: Simplify (* 2 0) into 0 30.797 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.798 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 30.799 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.800 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 30.800 * [taylor]: Taking taylor expansion of (* n PI) in n 30.800 * [taylor]: Taking taylor expansion of n in n 30.800 * [backup-simplify]: Simplify 0 into 0 30.800 * [backup-simplify]: Simplify 1 into 1 30.800 * [taylor]: Taking taylor expansion of PI in n 30.800 * [backup-simplify]: Simplify PI into PI 30.800 * [backup-simplify]: Simplify (* 0 PI) into 0 30.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.801 * [backup-simplify]: Simplify (sqrt 0) into 0 30.803 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 30.804 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.805 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 30.807 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 30.807 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.808 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 30.808 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.809 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.811 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.813 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 30.814 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 30.816 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 30.816 * [backup-simplify]: Simplify (* +nan.0 0) into 0 30.816 * [backup-simplify]: Simplify (- 0) into 0 30.817 * [backup-simplify]: Simplify (+ 0 0) into 0 30.817 * [backup-simplify]: Simplify (- 0) into 0 30.817 * [backup-simplify]: Simplify (+ 0 0) into 0 30.818 * [backup-simplify]: Simplify (- 0) into 0 30.818 * [backup-simplify]: Simplify 0 into 0 30.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 30.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.823 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 30.824 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 30.827 * [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)))))))) 30.833 * [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)))))))) 30.836 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.841 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 30.844 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 30.852 * [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)))))))))) 30.860 * [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))))))) 30.864 * [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))))))) 30.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.867 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 30.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 30.875 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.880 * [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)))) 30.883 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.885 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 30.893 * [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))))))))))))) 30.893 * [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)) 30.893 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 30.893 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 30.893 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 30.893 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 30.893 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 30.893 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.893 * [taylor]: Taking taylor expansion of 1/2 in n 30.893 * [backup-simplify]: Simplify 1/2 into 1/2 30.893 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.893 * [taylor]: Taking taylor expansion of 1 in n 30.893 * [backup-simplify]: Simplify 1 into 1 30.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.893 * [taylor]: Taking taylor expansion of k in n 30.893 * [backup-simplify]: Simplify k into k 30.893 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.893 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.893 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.893 * [taylor]: Taking taylor expansion of 2 in n 30.894 * [backup-simplify]: Simplify 2 into 2 30.894 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.894 * [taylor]: Taking taylor expansion of PI in n 30.894 * [backup-simplify]: Simplify PI into PI 30.894 * [taylor]: Taking taylor expansion of n in n 30.894 * [backup-simplify]: Simplify 0 into 0 30.894 * [backup-simplify]: Simplify 1 into 1 30.894 * [backup-simplify]: Simplify (/ PI 1) into PI 30.894 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.895 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.895 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.895 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.895 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.896 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.897 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.897 * [taylor]: Taking taylor expansion of (sqrt k) in n 30.897 * [taylor]: Taking taylor expansion of k in n 30.897 * [backup-simplify]: Simplify k into k 30.897 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 30.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 30.897 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.897 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.897 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.897 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.897 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.897 * [taylor]: Taking taylor expansion of 1/2 in k 30.897 * [backup-simplify]: Simplify 1/2 into 1/2 30.897 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.897 * [taylor]: Taking taylor expansion of 1 in k 30.897 * [backup-simplify]: Simplify 1 into 1 30.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.898 * [taylor]: Taking taylor expansion of k in k 30.898 * [backup-simplify]: Simplify 0 into 0 30.898 * [backup-simplify]: Simplify 1 into 1 30.898 * [backup-simplify]: Simplify (/ 1 1) into 1 30.898 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.898 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.898 * [taylor]: Taking taylor expansion of 2 in k 30.898 * [backup-simplify]: Simplify 2 into 2 30.898 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.898 * [taylor]: Taking taylor expansion of PI in k 30.898 * [backup-simplify]: Simplify PI into PI 30.898 * [taylor]: Taking taylor expansion of n in k 30.898 * [backup-simplify]: Simplify n into n 30.898 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.898 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.898 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.898 * [backup-simplify]: Simplify (- 1) into -1 30.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.899 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.899 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.899 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.899 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.899 * [taylor]: Taking taylor expansion of k in k 30.899 * [backup-simplify]: Simplify 0 into 0 30.899 * [backup-simplify]: Simplify 1 into 1 30.899 * [backup-simplify]: Simplify (sqrt 0) into 0 30.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.900 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 30.900 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 30.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 30.900 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 30.900 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.900 * [taylor]: Taking taylor expansion of 1/2 in k 30.900 * [backup-simplify]: Simplify 1/2 into 1/2 30.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.900 * [taylor]: Taking taylor expansion of 1 in k 30.900 * [backup-simplify]: Simplify 1 into 1 30.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.900 * [taylor]: Taking taylor expansion of k in k 30.900 * [backup-simplify]: Simplify 0 into 0 30.900 * [backup-simplify]: Simplify 1 into 1 30.901 * [backup-simplify]: Simplify (/ 1 1) into 1 30.901 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 30.901 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 30.901 * [taylor]: Taking taylor expansion of 2 in k 30.901 * [backup-simplify]: Simplify 2 into 2 30.901 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.901 * [taylor]: Taking taylor expansion of PI in k 30.901 * [backup-simplify]: Simplify PI into PI 30.901 * [taylor]: Taking taylor expansion of n in k 30.901 * [backup-simplify]: Simplify n into n 30.901 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.901 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 30.901 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 30.901 * [backup-simplify]: Simplify (- 1) into -1 30.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.902 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.902 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 30.902 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 30.902 * [taylor]: Taking taylor expansion of (sqrt k) in k 30.902 * [taylor]: Taking taylor expansion of k in k 30.902 * [backup-simplify]: Simplify 0 into 0 30.902 * [backup-simplify]: Simplify 1 into 1 30.902 * [backup-simplify]: Simplify (sqrt 0) into 0 30.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 30.903 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 30.903 * [taylor]: Taking taylor expansion of 0 in n 30.903 * [backup-simplify]: Simplify 0 into 0 30.903 * [backup-simplify]: Simplify 0 into 0 30.904 * [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)))))))) 30.904 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.904 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.904 * [taylor]: Taking taylor expansion of +nan.0 in n 30.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.904 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.904 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.904 * [taylor]: Taking taylor expansion of 1/2 in n 30.904 * [backup-simplify]: Simplify 1/2 into 1/2 30.904 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.904 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.904 * [taylor]: Taking taylor expansion of 1 in n 30.904 * [backup-simplify]: Simplify 1 into 1 30.904 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.904 * [taylor]: Taking taylor expansion of k in n 30.904 * [backup-simplify]: Simplify k into k 30.904 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.904 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.904 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.904 * [taylor]: Taking taylor expansion of 2 in n 30.904 * [backup-simplify]: Simplify 2 into 2 30.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.904 * [taylor]: Taking taylor expansion of PI in n 30.904 * [backup-simplify]: Simplify PI into PI 30.904 * [taylor]: Taking taylor expansion of n in n 30.904 * [backup-simplify]: Simplify 0 into 0 30.904 * [backup-simplify]: Simplify 1 into 1 30.904 * [backup-simplify]: Simplify (/ PI 1) into PI 30.905 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.905 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.905 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.905 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.907 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.907 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.908 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.909 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 30.910 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.910 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.910 * [backup-simplify]: Simplify 0 into 0 30.912 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.913 * [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)))))))) 30.913 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.913 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.913 * [taylor]: Taking taylor expansion of +nan.0 in n 30.913 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.913 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.913 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.913 * [taylor]: Taking taylor expansion of 1/2 in n 30.913 * [backup-simplify]: Simplify 1/2 into 1/2 30.913 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.913 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.913 * [taylor]: Taking taylor expansion of 1 in n 30.913 * [backup-simplify]: Simplify 1 into 1 30.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.913 * [taylor]: Taking taylor expansion of k in n 30.913 * [backup-simplify]: Simplify k into k 30.913 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.913 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.913 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.913 * [taylor]: Taking taylor expansion of 2 in n 30.913 * [backup-simplify]: Simplify 2 into 2 30.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.913 * [taylor]: Taking taylor expansion of PI in n 30.913 * [backup-simplify]: Simplify PI into PI 30.913 * [taylor]: Taking taylor expansion of n in n 30.913 * [backup-simplify]: Simplify 0 into 0 30.913 * [backup-simplify]: Simplify 1 into 1 30.914 * [backup-simplify]: Simplify (/ PI 1) into PI 30.914 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.915 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.915 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.915 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.916 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.917 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.917 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.918 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 30.919 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.921 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.925 * [backup-simplify]: Simplify (- 0) into 0 30.925 * [backup-simplify]: Simplify (+ 0 0) into 0 30.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.928 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 30.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 30.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.932 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 30.933 * [backup-simplify]: Simplify (- 0) into 0 30.933 * [backup-simplify]: Simplify 0 into 0 30.933 * [backup-simplify]: Simplify 0 into 0 30.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 30.938 * [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)))))))) 30.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 30.938 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 30.938 * [taylor]: Taking taylor expansion of +nan.0 in n 30.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.938 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 30.938 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 30.938 * [taylor]: Taking taylor expansion of 1/2 in n 30.938 * [backup-simplify]: Simplify 1/2 into 1/2 30.938 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 30.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.938 * [taylor]: Taking taylor expansion of 1 in n 30.939 * [backup-simplify]: Simplify 1 into 1 30.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.939 * [taylor]: Taking taylor expansion of k in n 30.939 * [backup-simplify]: Simplify k into k 30.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.939 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 30.939 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 30.939 * [taylor]: Taking taylor expansion of 2 in n 30.939 * [backup-simplify]: Simplify 2 into 2 30.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.939 * [taylor]: Taking taylor expansion of PI in n 30.939 * [backup-simplify]: Simplify PI into PI 30.939 * [taylor]: Taking taylor expansion of n in n 30.939 * [backup-simplify]: Simplify 0 into 0 30.939 * [backup-simplify]: Simplify 1 into 1 30.939 * [backup-simplify]: Simplify (/ PI 1) into PI 30.940 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.941 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.941 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.941 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 30.943 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 30.945 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 30.946 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 30.947 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 30.948 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.949 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 30.953 * [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)))))))) 30.954 * [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))) 30.954 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 30.954 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 30.954 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 30.954 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 30.954 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 30.954 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.954 * [taylor]: Taking taylor expansion of 1/2 in n 30.954 * [backup-simplify]: Simplify 1/2 into 1/2 30.954 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.955 * [taylor]: Taking taylor expansion of k in n 30.955 * [backup-simplify]: Simplify k into k 30.955 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.955 * [taylor]: Taking taylor expansion of 1 in n 30.955 * [backup-simplify]: Simplify 1 into 1 30.955 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.955 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.955 * [taylor]: Taking taylor expansion of -2 in n 30.955 * [backup-simplify]: Simplify -2 into -2 30.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.955 * [taylor]: Taking taylor expansion of PI in n 30.955 * [backup-simplify]: Simplify PI into PI 30.955 * [taylor]: Taking taylor expansion of n in n 30.955 * [backup-simplify]: Simplify 0 into 0 30.955 * [backup-simplify]: Simplify 1 into 1 30.955 * [backup-simplify]: Simplify (/ PI 1) into PI 30.956 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.957 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.957 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.957 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.958 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.959 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.960 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 30.961 * [taylor]: Taking taylor expansion of (/ -1 k) in n 30.961 * [taylor]: Taking taylor expansion of -1 in n 30.961 * [backup-simplify]: Simplify -1 into -1 30.961 * [taylor]: Taking taylor expansion of k in n 30.961 * [backup-simplify]: Simplify k into k 30.961 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 30.961 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 30.961 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 30.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 30.962 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 30.962 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.962 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.962 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.962 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.962 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.962 * [taylor]: Taking taylor expansion of 1/2 in k 30.962 * [backup-simplify]: Simplify 1/2 into 1/2 30.962 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.962 * [taylor]: Taking taylor expansion of k in k 30.962 * [backup-simplify]: Simplify 0 into 0 30.962 * [backup-simplify]: Simplify 1 into 1 30.963 * [backup-simplify]: Simplify (/ 1 1) into 1 30.963 * [taylor]: Taking taylor expansion of 1 in k 30.963 * [backup-simplify]: Simplify 1 into 1 30.963 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.963 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.963 * [taylor]: Taking taylor expansion of -2 in k 30.963 * [backup-simplify]: Simplify -2 into -2 30.963 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.963 * [taylor]: Taking taylor expansion of PI in k 30.963 * [backup-simplify]: Simplify PI into PI 30.963 * [taylor]: Taking taylor expansion of n in k 30.963 * [backup-simplify]: Simplify n into n 30.963 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.963 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.963 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.964 * [backup-simplify]: Simplify (+ 1 0) into 1 30.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.964 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.965 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.965 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.965 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.965 * [taylor]: Taking taylor expansion of -1 in k 30.965 * [backup-simplify]: Simplify -1 into -1 30.965 * [taylor]: Taking taylor expansion of k in k 30.965 * [backup-simplify]: Simplify 0 into 0 30.965 * [backup-simplify]: Simplify 1 into 1 30.965 * [backup-simplify]: Simplify (/ -1 1) into -1 30.966 * [backup-simplify]: Simplify (sqrt 0) into 0 30.967 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.967 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 30.967 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 30.967 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 30.968 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 30.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 30.968 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.968 * [taylor]: Taking taylor expansion of 1/2 in k 30.968 * [backup-simplify]: Simplify 1/2 into 1/2 30.968 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.968 * [taylor]: Taking taylor expansion of k in k 30.968 * [backup-simplify]: Simplify 0 into 0 30.968 * [backup-simplify]: Simplify 1 into 1 30.968 * [backup-simplify]: Simplify (/ 1 1) into 1 30.968 * [taylor]: Taking taylor expansion of 1 in k 30.968 * [backup-simplify]: Simplify 1 into 1 30.968 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 30.968 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 30.968 * [taylor]: Taking taylor expansion of -2 in k 30.968 * [backup-simplify]: Simplify -2 into -2 30.968 * [taylor]: Taking taylor expansion of (/ PI n) in k 30.968 * [taylor]: Taking taylor expansion of PI in k 30.968 * [backup-simplify]: Simplify PI into PI 30.968 * [taylor]: Taking taylor expansion of n in k 30.968 * [backup-simplify]: Simplify n into n 30.968 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 30.969 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 30.969 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 30.969 * [backup-simplify]: Simplify (+ 1 0) into 1 30.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.970 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 30.970 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 30.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 30.970 * [taylor]: Taking taylor expansion of (/ -1 k) in k 30.970 * [taylor]: Taking taylor expansion of -1 in k 30.970 * [backup-simplify]: Simplify -1 into -1 30.970 * [taylor]: Taking taylor expansion of k in k 30.970 * [backup-simplify]: Simplify 0 into 0 30.970 * [backup-simplify]: Simplify 1 into 1 30.970 * [backup-simplify]: Simplify (/ -1 1) into -1 30.971 * [backup-simplify]: Simplify (sqrt 0) into 0 30.972 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 30.973 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 30.973 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.973 * [taylor]: Taking taylor expansion of +nan.0 in n 30.973 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.973 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.973 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.973 * [taylor]: Taking taylor expansion of 1/2 in n 30.973 * [backup-simplify]: Simplify 1/2 into 1/2 30.973 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.973 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.973 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.973 * [taylor]: Taking taylor expansion of -2 in n 30.973 * [backup-simplify]: Simplify -2 into -2 30.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.973 * [taylor]: Taking taylor expansion of PI in n 30.973 * [backup-simplify]: Simplify PI into PI 30.973 * [taylor]: Taking taylor expansion of n in n 30.973 * [backup-simplify]: Simplify 0 into 0 30.973 * [backup-simplify]: Simplify 1 into 1 30.974 * [backup-simplify]: Simplify (/ PI 1) into PI 30.974 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.975 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.975 * [taylor]: Taking taylor expansion of k in n 30.975 * [backup-simplify]: Simplify k into k 30.975 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.975 * [taylor]: Taking taylor expansion of 1 in n 30.975 * [backup-simplify]: Simplify 1 into 1 30.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.977 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.978 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 30.979 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 30.980 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 30.981 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.987 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 30.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.992 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 30.993 * [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)))))) 30.993 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 30.993 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 30.993 * [taylor]: Taking taylor expansion of +nan.0 in n 30.993 * [backup-simplify]: Simplify +nan.0 into +nan.0 30.993 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 30.993 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 30.993 * [taylor]: Taking taylor expansion of 1/2 in n 30.993 * [backup-simplify]: Simplify 1/2 into 1/2 30.993 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 30.993 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 30.994 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 30.994 * [taylor]: Taking taylor expansion of -2 in n 30.994 * [backup-simplify]: Simplify -2 into -2 30.994 * [taylor]: Taking taylor expansion of (/ PI n) in n 30.994 * [taylor]: Taking taylor expansion of PI in n 30.994 * [backup-simplify]: Simplify PI into PI 30.994 * [taylor]: Taking taylor expansion of n in n 30.994 * [backup-simplify]: Simplify 0 into 0 30.994 * [backup-simplify]: Simplify 1 into 1 30.994 * [backup-simplify]: Simplify (/ PI 1) into PI 30.995 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 30.996 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 30.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.996 * [taylor]: Taking taylor expansion of k in n 30.996 * [backup-simplify]: Simplify k into k 30.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.996 * [taylor]: Taking taylor expansion of 1 in n 30.996 * [backup-simplify]: Simplify 1 into 1 30.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 30.997 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.999 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 31.000 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.001 * [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))))) 31.002 * [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)))))) 31.003 * [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))))))) 31.004 * [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))))))) 31.006 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.006 * [backup-simplify]: Simplify (+ 0 0) into 0 31.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.008 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.011 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 31.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 31.014 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.016 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 31.016 * [backup-simplify]: Simplify 0 into 0 31.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.023 * [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)))))) 31.023 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 31.023 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 31.023 * [taylor]: Taking taylor expansion of +nan.0 in n 31.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.023 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 31.023 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 31.023 * [taylor]: Taking taylor expansion of 1/2 in n 31.023 * [backup-simplify]: Simplify 1/2 into 1/2 31.023 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 31.023 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.023 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.023 * [taylor]: Taking taylor expansion of -2 in n 31.023 * [backup-simplify]: Simplify -2 into -2 31.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.023 * [taylor]: Taking taylor expansion of PI in n 31.023 * [backup-simplify]: Simplify PI into PI 31.023 * [taylor]: Taking taylor expansion of n in n 31.023 * [backup-simplify]: Simplify 0 into 0 31.023 * [backup-simplify]: Simplify 1 into 1 31.024 * [backup-simplify]: Simplify (/ PI 1) into PI 31.024 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.025 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.025 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.025 * [taylor]: Taking taylor expansion of k in n 31.025 * [backup-simplify]: Simplify k into k 31.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.025 * [taylor]: Taking taylor expansion of 1 in n 31.025 * [backup-simplify]: Simplify 1 into 1 31.027 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.027 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.028 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 31.029 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.030 * [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))))) 31.031 * [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)))))) 31.033 * [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))))))) 31.034 * [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))))))) 31.038 * [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)))))))))))) 31.038 * * * [progress]: simplifying candidates 31.038 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 31.039 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 31.039 * * [simplify]: iters left: 6 (13 enodes) 31.047 * * [simplify]: iters left: 5 (54 enodes) 31.065 * * [simplify]: iters left: 4 (97 enodes) 31.105 * * [simplify]: iters left: 3 (246 enodes) 31.194 * * [simplify]: Extracting #0: cost 1 inf + 0 31.195 * * [simplify]: Extracting #1: cost 28 inf + 0 31.195 * * [simplify]: Extracting #2: cost 93 inf + 2 31.196 * * [simplify]: Extracting #3: cost 138 inf + 186 31.197 * * [simplify]: Extracting #4: cost 108 inf + 3370 31.201 * * [simplify]: Extracting #5: cost 33 inf + 22278 31.207 * * [simplify]: Extracting #6: cost 2 inf + 32881 31.213 * * [simplify]: Extracting #7: cost 0 inf + 33789 31.222 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 31.222 * [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)))) 31.223 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 31.223 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 31.223 * * [simplify]: iters left: 6 (12 enodes) 31.227 * * [simplify]: iters left: 5 (52 enodes) 31.241 * * [simplify]: iters left: 4 (90 enodes) 31.259 * * [simplify]: iters left: 3 (201 enodes) 31.310 * * [simplify]: iters left: 2 (496 enodes) 31.587 * * [simplify]: Extracting #0: cost 1 inf + 0 31.587 * * [simplify]: Extracting #1: cost 22 inf + 0 31.587 * * [simplify]: Extracting #2: cost 123 inf + 2 31.588 * * [simplify]: Extracting #3: cost 296 inf + 186 31.590 * * [simplify]: Extracting #4: cost 244 inf + 9812 31.599 * * [simplify]: Extracting #5: cost 93 inf + 50654 31.622 * * [simplify]: Extracting #6: cost 0 inf + 82473 31.660 * * [simplify]: Extracting #7: cost 0 inf + 82467 31.683 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 31.683 * [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)))) 31.683 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 31.684 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 31.684 * * [simplify]: iters left: 6 (11 enodes) 31.688 * * [simplify]: iters left: 5 (51 enodes) 31.698 * * [simplify]: iters left: 4 (97 enodes) 31.724 * * [simplify]: iters left: 3 (198 enodes) 31.789 * * [simplify]: iters left: 2 (492 enodes) 32.109 * * [simplify]: Extracting #0: cost 1 inf + 0 32.109 * * [simplify]: Extracting #1: cost 27 inf + 0 32.110 * * [simplify]: Extracting #2: cost 138 inf + 2 32.111 * * [simplify]: Extracting #3: cost 300 inf + 352 32.113 * * [simplify]: Extracting #4: cost 251 inf + 8938 32.124 * * [simplify]: Extracting #5: cost 48 inf + 62855 32.145 * * [simplify]: Extracting #6: cost 0 inf + 74672 32.175 * * [simplify]: Extracting #7: cost 0 inf + 74341 32.198 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 32.198 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 32.198 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 32.198 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 32.199 * [simplify]: Simplifying (* (* 2 PI) n) 32.199 * * [simplify]: iters left: 4 (5 enodes) 32.200 * * [simplify]: iters left: 3 (19 enodes) 32.203 * * [simplify]: iters left: 2 (27 enodes) 32.207 * * [simplify]: iters left: 1 (32 enodes) 32.211 * * [simplify]: Extracting #0: cost 1 inf + 0 32.211 * * [simplify]: Extracting #1: cost 8 inf + 0 32.211 * * [simplify]: Extracting #2: cost 7 inf + 45 32.212 * * [simplify]: Extracting #3: cost 0 inf + 421 32.212 * [simplify]: Simplified to (* (* 2 PI) n) 32.212 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 32.212 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 32.212 * [simplify]: Simplifying (* (* 2 PI) n) 32.212 * * [simplify]: iters left: 4 (5 enodes) 32.214 * * [simplify]: iters left: 3 (19 enodes) 32.220 * * [simplify]: iters left: 2 (27 enodes) 32.228 * * [simplify]: iters left: 1 (32 enodes) 32.236 * * [simplify]: Extracting #0: cost 1 inf + 0 32.236 * * [simplify]: Extracting #1: cost 8 inf + 0 32.236 * * [simplify]: Extracting #2: cost 7 inf + 45 32.236 * * [simplify]: Extracting #3: cost 0 inf + 421 32.236 * [simplify]: Simplified to (* (* 2 PI) n) 32.236 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 32.236 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 32.237 * [simplify]: Simplifying (* (* 2 PI) n) 32.237 * * [simplify]: iters left: 4 (5 enodes) 32.240 * * [simplify]: iters left: 3 (19 enodes) 32.246 * * [simplify]: iters left: 2 (27 enodes) 32.254 * * [simplify]: iters left: 1 (32 enodes) 32.262 * * [simplify]: Extracting #0: cost 1 inf + 0 32.262 * * [simplify]: Extracting #1: cost 8 inf + 0 32.262 * * [simplify]: Extracting #2: cost 7 inf + 45 32.262 * * [simplify]: Extracting #3: cost 0 inf + 421 32.263 * [simplify]: Simplified to (* (* 2 PI) n) 32.263 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 32.263 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 32.263 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 32.263 * * [simplify]: iters left: 5 (8 enodes) 32.267 * * [simplify]: iters left: 4 (31 enodes) 32.278 * * [simplify]: iters left: 3 (51 enodes) 32.289 * * [simplify]: iters left: 2 (85 enodes) 32.304 * * [simplify]: iters left: 1 (152 enodes) 32.364 * * [simplify]: Extracting #0: cost 1 inf + 0 32.364 * * [simplify]: Extracting #1: cost 13 inf + 0 32.364 * * [simplify]: Extracting #2: cost 60 inf + 1 32.365 * * [simplify]: Extracting #3: cost 76 inf + 51 32.366 * * [simplify]: Extracting #4: cost 44 inf + 2846 32.369 * * [simplify]: Extracting #5: cost 21 inf + 7590 32.374 * * [simplify]: Extracting #6: cost 1 inf + 20687 32.379 * * [simplify]: Extracting #7: cost 0 inf + 20539 32.385 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 32.385 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 32.385 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 32.386 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 32.386 * * [simplify]: iters left: 5 (6 enodes) 32.390 * * [simplify]: iters left: 4 (26 enodes) 32.399 * * [simplify]: iters left: 3 (35 enodes) 32.409 * * [simplify]: Extracting #0: cost 1 inf + 0 32.409 * * [simplify]: Extracting #1: cost 3 inf + 0 32.409 * * [simplify]: Extracting #2: cost 8 inf + 0 32.410 * * [simplify]: Extracting #3: cost 11 inf + 2 32.410 * * [simplify]: Extracting #4: cost 8 inf + 87 32.410 * * [simplify]: Extracting #5: cost 2 inf + 500 32.410 * * [simplify]: Extracting #6: cost 0 inf + 746 32.411 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 32.411 * [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))))) 32.411 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 32.411 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 32.411 * * [simplify]: iters left: 5 (6 enodes) 32.415 * * [simplify]: iters left: 4 (26 enodes) 32.424 * * [simplify]: iters left: 3 (35 enodes) 32.435 * * [simplify]: Extracting #0: cost 1 inf + 0 32.435 * * [simplify]: Extracting #1: cost 3 inf + 0 32.435 * * [simplify]: Extracting #2: cost 8 inf + 0 32.435 * * [simplify]: Extracting #3: cost 11 inf + 2 32.435 * * [simplify]: Extracting #4: cost 8 inf + 87 32.436 * * [simplify]: Extracting #5: cost 2 inf + 460 32.436 * * [simplify]: Extracting #6: cost 0 inf + 666 32.436 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 32.436 * [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))))) 32.436 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 32.437 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 32.437 * * [simplify]: iters left: 5 (7 enodes) 32.441 * * [simplify]: iters left: 4 (25 enodes) 32.451 * * [simplify]: iters left: 3 (30 enodes) 32.460 * * [simplify]: Extracting #0: cost 1 inf + 0 32.460 * * [simplify]: Extracting #1: cost 4 inf + 0 32.460 * * [simplify]: Extracting #2: cost 8 inf + 0 32.460 * * [simplify]: Extracting #3: cost 10 inf + 82 32.460 * * [simplify]: Extracting #4: cost 7 inf + 206 32.461 * * [simplify]: Extracting #5: cost 2 inf + 575 32.461 * * [simplify]: Extracting #6: cost 1 inf + 818 32.461 * * [simplify]: Extracting #7: cost 0 inf + 1061 32.462 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 32.462 * [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))))) 32.462 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 32.462 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 32.462 * * [simplify]: iters left: 5 (7 enodes) 32.468 * * [simplify]: iters left: 4 (25 enodes) 32.473 * * [simplify]: iters left: 3 (30 enodes) 32.478 * * [simplify]: Extracting #0: cost 1 inf + 0 32.478 * * [simplify]: Extracting #1: cost 4 inf + 0 32.478 * * [simplify]: Extracting #2: cost 8 inf + 0 32.478 * * [simplify]: Extracting #3: cost 10 inf + 42 32.478 * * [simplify]: Extracting #4: cost 7 inf + 126 32.478 * * [simplify]: Extracting #5: cost 2 inf + 495 32.478 * * [simplify]: Extracting #6: cost 1 inf + 698 32.478 * * [simplify]: Extracting #7: cost 0 inf + 901 32.478 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 32.478 * [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))))) 32.479 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 32.479 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 32.479 * * [simplify]: iters left: 5 (6 enodes) 32.481 * * [simplify]: iters left: 4 (22 enodes) 32.484 * * [simplify]: iters left: 3 (27 enodes) 32.489 * * [simplify]: Extracting #0: cost 1 inf + 0 32.489 * * [simplify]: Extracting #1: cost 4 inf + 0 32.489 * * [simplify]: Extracting #2: cost 5 inf + 1 32.489 * * [simplify]: Extracting #3: cost 9 inf + 1 32.489 * * [simplify]: Extracting #4: cost 8 inf + 3 32.489 * * [simplify]: Extracting #5: cost 4 inf + 169 32.489 * * [simplify]: Extracting #6: cost 1 inf + 576 32.489 * * [simplify]: Extracting #7: cost 0 inf + 739 32.489 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 32.489 * [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)))) 32.489 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 32.490 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 32.490 * * [simplify]: iters left: 5 (7 enodes) 32.492 * * [simplify]: iters left: 4 (25 enodes) 32.497 * * [simplify]: iters left: 3 (30 enodes) 32.501 * * [simplify]: Extracting #0: cost 1 inf + 0 32.501 * * [simplify]: Extracting #1: cost 4 inf + 0 32.501 * * [simplify]: Extracting #2: cost 8 inf + 0 32.502 * * [simplify]: Extracting #3: cost 10 inf + 82 32.502 * * [simplify]: Extracting #4: cost 7 inf + 206 32.502 * * [simplify]: Extracting #5: cost 2 inf + 495 32.502 * * [simplify]: Extracting #6: cost 1 inf + 698 32.502 * * [simplify]: Extracting #7: cost 0 inf + 901 32.502 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 32.502 * [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))))) 32.502 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 32.502 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 32.503 * * [simplify]: iters left: 5 (7 enodes) 32.505 * * [simplify]: iters left: 4 (25 enodes) 32.509 * * [simplify]: iters left: 3 (30 enodes) 32.518 * * [simplify]: Extracting #0: cost 1 inf + 0 32.518 * * [simplify]: Extracting #1: cost 4 inf + 0 32.519 * * [simplify]: Extracting #2: cost 8 inf + 0 32.519 * * [simplify]: Extracting #3: cost 10 inf + 42 32.519 * * [simplify]: Extracting #4: cost 7 inf + 126 32.519 * * [simplify]: Extracting #5: cost 2 inf + 415 32.519 * * [simplify]: Extracting #6: cost 1 inf + 578 32.520 * * [simplify]: Extracting #7: cost 0 inf + 741 32.520 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 32.520 * [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))))) 32.520 * * * * [progress]: [ 16 / 188 ] simplifiying candidate # 32.520 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 32.520 * * [simplify]: iters left: 5 (6 enodes) 32.524 * * [simplify]: iters left: 4 (22 enodes) 32.531 * * [simplify]: iters left: 3 (27 enodes) 32.539 * * [simplify]: Extracting #0: cost 1 inf + 0 32.540 * * [simplify]: Extracting #1: cost 4 inf + 0 32.540 * * [simplify]: Extracting #2: cost 5 inf + 1 32.540 * * [simplify]: Extracting #3: cost 9 inf + 1 32.540 * * [simplify]: Extracting #4: cost 8 inf + 3 32.540 * * [simplify]: Extracting #5: cost 4 inf + 169 32.540 * * [simplify]: Extracting #6: cost 1 inf + 456 32.540 * * [simplify]: Extracting #7: cost 0 inf + 579 32.541 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 32.541 * [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)))) 32.541 * * * * [progress]: [ 17 / 188 ] simplifiying candidate # 32.541 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.542 * * [simplify]: iters left: 4 (6 enodes) 32.546 * * [simplify]: iters left: 3 (25 enodes) 32.555 * * [simplify]: iters left: 2 (36 enodes) 32.566 * * [simplify]: iters left: 1 (40 enodes) 32.576 * * [simplify]: Extracting #0: cost 1 inf + 0 32.576 * * [simplify]: Extracting #1: cost 7 inf + 0 32.576 * * [simplify]: Extracting #2: cost 16 inf + 0 32.576 * * [simplify]: Extracting #3: cost 13 inf + 44 32.576 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.577 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.577 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.577 * [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))))) 32.577 * * * * [progress]: [ 18 / 188 ] simplifiying candidate # 32.577 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.577 * * [simplify]: iters left: 4 (6 enodes) 32.579 * * [simplify]: iters left: 3 (25 enodes) 32.586 * * [simplify]: iters left: 2 (36 enodes) 32.592 * * [simplify]: iters left: 1 (40 enodes) 32.598 * * [simplify]: Extracting #0: cost 1 inf + 0 32.598 * * [simplify]: Extracting #1: cost 7 inf + 0 32.598 * * [simplify]: Extracting #2: cost 16 inf + 0 32.598 * * [simplify]: Extracting #3: cost 13 inf + 44 32.598 * * [simplify]: Extracting #4: cost 3 inf + 823 32.599 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.599 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.599 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 32.599 * * * * [progress]: [ 19 / 188 ] simplifiying candidate # 32.600 * [simplify]: Simplifying (/ (- 1 k) 2) 32.600 * * [simplify]: iters left: 4 (5 enodes) 32.603 * * [simplify]: iters left: 3 (23 enodes) 32.611 * * [simplify]: iters left: 2 (32 enodes) 32.618 * * [simplify]: Extracting #0: cost 1 inf + 0 32.618 * * [simplify]: Extracting #1: cost 6 inf + 0 32.618 * * [simplify]: Extracting #2: cost 9 inf + 2 32.618 * * [simplify]: Extracting #3: cost 6 inf + 87 32.618 * * [simplify]: Extracting #4: cost 0 inf + 420 32.618 * [simplify]: Simplified to (/ (- 1 k) 2) 32.618 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 32.618 * * * * [progress]: [ 20 / 188 ] simplifiying candidate # 32.618 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 32.618 * * [simplify]: iters left: 5 (8 enodes) 32.621 * * [simplify]: iters left: 4 (31 enodes) 32.627 * * [simplify]: iters left: 3 (45 enodes) 32.633 * * [simplify]: iters left: 2 (51 enodes) 32.641 * * [simplify]: iters left: 1 (52 enodes) 32.653 * * [simplify]: Extracting #0: cost 1 inf + 0 32.653 * * [simplify]: Extracting #1: cost 8 inf + 0 32.653 * * [simplify]: Extracting #2: cost 18 inf + 0 32.653 * * [simplify]: Extracting #3: cost 19 inf + 2 32.653 * * [simplify]: Extracting #4: cost 9 inf + 977 32.654 * * [simplify]: Extracting #5: cost 2 inf + 1790 32.655 * * [simplify]: Extracting #6: cost 0 inf + 2195 32.655 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.656 * [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))))) 32.656 * * * * [progress]: [ 21 / 188 ] simplifiying candidate # 32.656 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 32.656 * * [simplify]: iters left: 5 (8 enodes) 32.661 * * [simplify]: iters left: 4 (31 enodes) 32.671 * * [simplify]: iters left: 3 (45 enodes) 32.684 * * [simplify]: iters left: 2 (51 enodes) 32.698 * * [simplify]: iters left: 1 (52 enodes) 32.715 * * [simplify]: Extracting #0: cost 1 inf + 0 32.715 * * [simplify]: Extracting #1: cost 8 inf + 0 32.715 * * [simplify]: Extracting #2: cost 18 inf + 0 32.715 * * [simplify]: Extracting #3: cost 19 inf + 2 32.715 * * [simplify]: Extracting #4: cost 9 inf + 697 32.716 * * [simplify]: Extracting #5: cost 2 inf + 1390 32.717 * * [simplify]: Extracting #6: cost 0 inf + 1715 32.718 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.718 * [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))))) 32.718 * * * * [progress]: [ 22 / 188 ] simplifiying candidate # 32.718 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 32.718 * * [simplify]: iters left: 5 (7 enodes) 32.723 * * [simplify]: iters left: 4 (29 enodes) 32.733 * * [simplify]: iters left: 3 (43 enodes) 32.744 * * [simplify]: iters left: 2 (47 enodes) 32.756 * * [simplify]: Extracting #0: cost 1 inf + 0 32.756 * * [simplify]: Extracting #1: cost 7 inf + 0 32.756 * * [simplify]: Extracting #2: cost 11 inf + 2 32.756 * * [simplify]: Extracting #3: cost 13 inf + 3 32.756 * * [simplify]: Extracting #4: cost 11 inf + 45 32.757 * * [simplify]: Extracting #5: cost 0 inf + 1066 32.757 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.757 * [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)))) 32.757 * * * * [progress]: [ 23 / 188 ] simplifiying candidate # 32.758 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 32.758 * * [simplify]: iters left: 5 (7 enodes) 32.762 * * [simplify]: iters left: 4 (28 enodes) 32.771 * * [simplify]: iters left: 3 (39 enodes) 32.784 * * [simplify]: iters left: 2 (43 enodes) 32.796 * * [simplify]: Extracting #0: cost 1 inf + 0 32.796 * * [simplify]: Extracting #1: cost 7 inf + 0 32.796 * * [simplify]: Extracting #2: cost 16 inf + 0 32.797 * * [simplify]: Extracting #3: cost 15 inf + 164 32.797 * * [simplify]: Extracting #4: cost 13 inf + 287 32.797 * * [simplify]: Extracting #5: cost 5 inf + 1180 32.798 * * [simplify]: Extracting #6: cost 0 inf + 1951 32.798 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.798 * [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))))) 32.798 * * * * [progress]: [ 24 / 188 ] simplifiying candidate # 32.799 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 32.799 * * [simplify]: iters left: 5 (7 enodes) 32.803 * * [simplify]: iters left: 4 (28 enodes) 32.814 * * [simplify]: iters left: 3 (39 enodes) 32.826 * * [simplify]: iters left: 2 (43 enodes) 32.840 * * [simplify]: Extracting #0: cost 1 inf + 0 32.840 * * [simplify]: Extracting #1: cost 7 inf + 0 32.840 * * [simplify]: Extracting #2: cost 16 inf + 0 32.840 * * [simplify]: Extracting #3: cost 15 inf + 84 32.840 * * [simplify]: Extracting #4: cost 13 inf + 167 32.840 * * [simplify]: Extracting #5: cost 5 inf + 900 32.841 * * [simplify]: Extracting #6: cost 0 inf + 1551 32.842 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.842 * [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))))) 32.842 * * * * [progress]: [ 25 / 188 ] simplifiying candidate # 32.842 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 32.842 * * [simplify]: iters left: 5 (6 enodes) 32.847 * * [simplify]: iters left: 4 (26 enodes) 32.856 * * [simplify]: iters left: 3 (35 enodes) 32.869 * * [simplify]: Extracting #0: cost 1 inf + 0 32.869 * * [simplify]: Extracting #1: cost 6 inf + 0 32.869 * * [simplify]: Extracting #2: cost 9 inf + 2 32.870 * * [simplify]: Extracting #3: cost 11 inf + 3 32.870 * * [simplify]: Extracting #4: cost 10 inf + 4 32.870 * * [simplify]: Extracting #5: cost 3 inf + 535 32.870 * * [simplify]: Extracting #6: cost 0 inf + 822 32.871 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.871 * [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)))) 32.871 * * * * [progress]: [ 26 / 188 ] simplifiying candidate # 32.871 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.871 * * [simplify]: iters left: 4 (6 enodes) 32.876 * * [simplify]: iters left: 3 (25 enodes) 32.884 * * [simplify]: iters left: 2 (36 enodes) 32.890 * * [simplify]: iters left: 1 (40 enodes) 32.897 * * [simplify]: Extracting #0: cost 1 inf + 0 32.897 * * [simplify]: Extracting #1: cost 7 inf + 0 32.897 * * [simplify]: Extracting #2: cost 16 inf + 0 32.897 * * [simplify]: Extracting #3: cost 13 inf + 44 32.897 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.897 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.898 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.898 * [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))))) 32.898 * * * * [progress]: [ 27 / 188 ] simplifiying candidate # 32.898 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.898 * * [simplify]: iters left: 4 (6 enodes) 32.900 * * [simplify]: iters left: 3 (25 enodes) 32.905 * * [simplify]: iters left: 2 (36 enodes) 32.911 * * [simplify]: iters left: 1 (40 enodes) 32.918 * * [simplify]: Extracting #0: cost 1 inf + 0 32.918 * * [simplify]: Extracting #1: cost 7 inf + 0 32.918 * * [simplify]: Extracting #2: cost 16 inf + 0 32.918 * * [simplify]: Extracting #3: cost 13 inf + 44 32.918 * * [simplify]: Extracting #4: cost 3 inf + 823 32.918 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.919 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.919 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 32.919 * * * * [progress]: [ 28 / 188 ] simplifiying candidate # 32.919 * [simplify]: Simplifying (/ (- 1 k) 2) 32.919 * * [simplify]: iters left: 4 (5 enodes) 32.921 * * [simplify]: iters left: 3 (23 enodes) 32.925 * * [simplify]: iters left: 2 (32 enodes) 32.931 * * [simplify]: Extracting #0: cost 1 inf + 0 32.931 * * [simplify]: Extracting #1: cost 6 inf + 0 32.931 * * [simplify]: Extracting #2: cost 9 inf + 2 32.931 * * [simplify]: Extracting #3: cost 6 inf + 87 32.931 * * [simplify]: Extracting #4: cost 0 inf + 420 32.931 * [simplify]: Simplified to (/ (- 1 k) 2) 32.931 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 32.931 * * * * [progress]: [ 29 / 188 ] simplifiying candidate # 32.931 * [simplify]: Simplifying (/ (- 1 k) 2) 32.931 * * [simplify]: iters left: 4 (5 enodes) 32.933 * * [simplify]: iters left: 3 (23 enodes) 32.938 * * [simplify]: iters left: 2 (32 enodes) 32.943 * * [simplify]: Extracting #0: cost 1 inf + 0 32.944 * * [simplify]: Extracting #1: cost 6 inf + 0 32.944 * * [simplify]: Extracting #2: cost 9 inf + 2 32.944 * * [simplify]: Extracting #3: cost 6 inf + 87 32.944 * * [simplify]: Extracting #4: cost 0 inf + 420 32.944 * [simplify]: Simplified to (/ (- 1 k) 2) 32.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 32.944 * * * * [progress]: [ 30 / 188 ] simplifiying candidate # 32.945 * [simplify]: Simplifying (/ 1 2) 32.945 * * [simplify]: iters left: 2 (3 enodes) 32.948 * * [simplify]: iters left: 1 (12 enodes) 32.952 * * [simplify]: Extracting #0: cost 1 inf + 0 32.952 * * [simplify]: Extracting #1: cost 0 inf + 1 32.952 * [simplify]: Simplified to 1/2 32.952 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 32.953 * * * * [progress]: [ 31 / 188 ] simplifiying candidate # 32.953 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 32.953 * * [simplify]: iters left: 5 (8 enodes) 32.958 * * [simplify]: iters left: 4 (36 enodes) 32.971 * * [simplify]: iters left: 3 (57 enodes) 32.993 * * [simplify]: iters left: 2 (90 enodes) 33.028 * * [simplify]: iters left: 1 (176 enodes) 33.076 * * [simplify]: Extracting #0: cost 1 inf + 0 33.076 * * [simplify]: Extracting #1: cost 13 inf + 0 33.076 * * [simplify]: Extracting #2: cost 55 inf + 1 33.076 * * [simplify]: Extracting #3: cost 86 inf + 6 33.077 * * [simplify]: Extracting #4: cost 68 inf + 2553 33.079 * * [simplify]: Extracting #5: cost 24 inf + 10048 33.084 * * [simplify]: Extracting #6: cost 3 inf + 21580 33.091 * * [simplify]: Extracting #7: cost 0 inf + 23439 33.098 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 33.098 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 33.098 * * * * [progress]: [ 32 / 188 ] simplifiying candidate # 33.098 * * * * [progress]: [ 33 / 188 ] simplifiying candidate # 33.098 * * * * [progress]: [ 34 / 188 ] simplifiying candidate # 33.098 * * * * [progress]: [ 35 / 188 ] simplifiying candidate # 33.098 * * * * [progress]: [ 36 / 188 ] simplifiying candidate # 33.098 * * * * [progress]: [ 37 / 188 ] simplifiying candidate # 33.099 * * * * [progress]: [ 38 / 188 ] simplifiying candidate # 33.099 * * * * [progress]: [ 39 / 188 ] simplifiying candidate # 33.099 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 33.099 * * * * [progress]: [ 41 / 188 ] simplifiying candidate # 33.099 * * * * [progress]: [ 42 / 188 ] simplifiying candidate # 33.099 * [simplify]: Simplifying (- 1/2) 33.099 * * [simplify]: iters left: 2 (2 enodes) 33.102 * * [simplify]: iters left: 1 (7 enodes) 33.104 * * [simplify]: Extracting #0: cost 1 inf + 0 33.105 * * [simplify]: Extracting #1: cost 0 inf + 1 33.105 * [simplify]: Simplified to -1/2 33.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.105 * * * * [progress]: [ 43 / 188 ] simplifiying candidate # 33.105 * [simplify]: Simplifying (- 1) 33.105 * * [simplify]: iters left: 2 (2 enodes) 33.107 * * [simplify]: iters left: 1 (9 enodes) 33.111 * * [simplify]: Extracting #0: cost 1 inf + 0 33.111 * * [simplify]: Extracting #1: cost 0 inf + 1 33.111 * [simplify]: Simplified to -1 33.111 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.111 * * * * [progress]: [ 44 / 188 ] simplifiying candidate # 33.112 * [simplify]: Simplifying (- (/ 1 2)) 33.112 * * [simplify]: iters left: 4 (4 enodes) 33.114 * * [simplify]: iters left: 3 (19 enodes) 33.117 * * [simplify]: iters left: 2 (23 enodes) 33.121 * * [simplify]: Extracting #0: cost 1 inf + 0 33.121 * * [simplify]: Extracting #1: cost 0 inf + 1 33.121 * [simplify]: Simplified to -1/2 33.121 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.121 * * * * [progress]: [ 45 / 188 ] simplifiying candidate # 33.121 * * * * [progress]: [ 46 / 188 ] simplifiying candidate # 33.121 * * * * [progress]: [ 47 / 188 ] simplifiying candidate # 33.122 * [simplify]: Simplifying (- 0 (log (sqrt k))) 33.122 * * [simplify]: iters left: 4 (5 enodes) 33.123 * * [simplify]: iters left: 3 (17 enodes) 33.126 * * [simplify]: iters left: 2 (21 enodes) 33.132 * * [simplify]: iters left: 1 (23 enodes) 33.139 * * [simplify]: Extracting #0: cost 1 inf + 0 33.139 * * [simplify]: Extracting #1: cost 4 inf + 0 33.139 * * [simplify]: Extracting #2: cost 5 inf + 1 33.139 * * [simplify]: Extracting #3: cost 7 inf + 1 33.139 * * [simplify]: Extracting #4: cost 0 inf + 608 33.139 * [simplify]: Simplified to (- (log (sqrt k))) 33.139 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.140 * * * * [progress]: [ 48 / 188 ] simplifiying candidate # 33.140 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 33.140 * * [simplify]: iters left: 4 (6 enodes) 33.143 * * [simplify]: iters left: 3 (22 enodes) 33.150 * * [simplify]: Extracting #0: cost 1 inf + 0 33.150 * * [simplify]: Extracting #1: cost 4 inf + 0 33.150 * * [simplify]: Extracting #2: cost 5 inf + 1 33.150 * * [simplify]: Extracting #3: cost 7 inf + 1 33.150 * * [simplify]: Extracting #4: cost 6 inf + 2 33.150 * * [simplify]: Extracting #5: cost 1 inf + 457 33.150 * * [simplify]: Extracting #6: cost 0 inf + 608 33.151 * [simplify]: Simplified to (- (log (sqrt k))) 33.151 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.151 * * * * [progress]: [ 49 / 188 ] simplifiying candidate # 33.151 * * * * [progress]: [ 50 / 188 ] simplifiying candidate # 33.151 * * * * [progress]: [ 51 / 188 ] simplifiying candidate # 33.151 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 33.151 * * [simplify]: iters left: 6 (8 enodes) 33.156 * * [simplify]: iters left: 5 (26 enodes) 33.164 * * [simplify]: iters left: 4 (43 enodes) 33.177 * * [simplify]: iters left: 3 (59 enodes) 33.195 * * [simplify]: iters left: 2 (67 enodes) 33.212 * * [simplify]: iters left: 1 (69 enodes) 33.229 * * [simplify]: Extracting #0: cost 1 inf + 0 33.229 * * [simplify]: Extracting #1: cost 14 inf + 0 33.229 * * [simplify]: Extracting #2: cost 18 inf + 2 33.230 * * [simplify]: Extracting #3: cost 7 inf + 701 33.230 * * [simplify]: Extracting #4: cost 0 inf + 1234 33.231 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 33.231 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.231 * * * * [progress]: [ 52 / 188 ] simplifiying candidate # 33.231 * * * * [progress]: [ 53 / 188 ] simplifiying candidate # 33.231 * * * * [progress]: [ 54 / 188 ] simplifiying candidate # 33.231 * * * * [progress]: [ 55 / 188 ] simplifiying candidate # 33.231 * * * * [progress]: [ 56 / 188 ] simplifiying candidate # 33.232 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.232 * * [simplify]: iters left: 6 (8 enodes) 33.237 * * [simplify]: iters left: 5 (32 enodes) 33.248 * * [simplify]: iters left: 4 (48 enodes) 33.266 * * [simplify]: iters left: 3 (76 enodes) 33.290 * * [simplify]: iters left: 2 (81 enodes) 33.297 * * [simplify]: Extracting #0: cost 1 inf + 0 33.297 * * [simplify]: Extracting #1: cost 6 inf + 0 33.297 * * [simplify]: Extracting #2: cost 9 inf + 1 33.297 * * [simplify]: Extracting #3: cost 11 inf + 1 33.297 * * [simplify]: Extracting #4: cost 2 inf + 1052 33.297 * * [simplify]: Extracting #5: cost 0 inf + 1376 33.298 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.298 * [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)))) 33.298 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 33.298 * * [simplify]: iters left: 4 (6 enodes) 33.300 * * [simplify]: iters left: 3 (20 enodes) 33.304 * * [simplify]: iters left: 2 (22 enodes) 33.307 * * [simplify]: Extracting #0: cost 1 inf + 0 33.307 * * [simplify]: Extracting #1: cost 4 inf + 0 33.307 * * [simplify]: Extracting #2: cost 5 inf + 1 33.307 * * [simplify]: Extracting #3: cost 7 inf + 1 33.307 * * [simplify]: Extracting #4: cost 1 inf + 488 33.307 * * [simplify]: Extracting #5: cost 0 inf + 650 33.307 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.307 * [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)))) 33.307 * * * * [progress]: [ 57 / 188 ] simplifiying candidate # 33.308 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 33.308 * * [simplify]: iters left: 6 (8 enodes) 33.311 * * [simplify]: iters left: 5 (29 enodes) 33.315 * * [simplify]: iters left: 4 (31 enodes) 33.321 * * [simplify]: Extracting #0: cost 1 inf + 0 33.321 * * [simplify]: Extracting #1: cost 4 inf + 0 33.321 * * [simplify]: Extracting #2: cost 6 inf + 1 33.321 * * [simplify]: Extracting #3: cost 9 inf + 1 33.321 * * [simplify]: Extracting #4: cost 8 inf + 2 33.321 * * [simplify]: Extracting #5: cost 2 inf + 729 33.322 * * [simplify]: Extracting #6: cost 0 inf + 972 33.322 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.322 * [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)))) 33.322 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 33.323 * * [simplify]: iters left: 4 (6 enodes) 33.327 * * [simplify]: iters left: 3 (20 enodes) 33.333 * * [simplify]: iters left: 2 (22 enodes) 33.339 * * [simplify]: Extracting #0: cost 1 inf + 0 33.340 * * [simplify]: Extracting #1: cost 4 inf + 0 33.340 * * [simplify]: Extracting #2: cost 5 inf + 1 33.340 * * [simplify]: Extracting #3: cost 7 inf + 1 33.340 * * [simplify]: Extracting #4: cost 1 inf + 568 33.340 * * [simplify]: Extracting #5: cost 0 inf + 730 33.340 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.340 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.340 * * * * [progress]: [ 58 / 188 ] simplifiying candidate # 33.341 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.341 * * [simplify]: iters left: 5 (7 enodes) 33.346 * * [simplify]: iters left: 4 (25 enodes) 33.355 * * [simplify]: iters left: 3 (27 enodes) 33.362 * * [simplify]: Extracting #0: cost 1 inf + 0 33.362 * * [simplify]: Extracting #1: cost 4 inf + 0 33.362 * * [simplify]: Extracting #2: cost 5 inf + 1 33.362 * * [simplify]: Extracting #3: cost 7 inf + 1 33.362 * * [simplify]: Extracting #4: cost 6 inf + 2 33.362 * * [simplify]: Extracting #5: cost 2 inf + 368 33.363 * * [simplify]: Extracting #6: cost 0 inf + 490 33.363 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.363 * [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)))) 33.363 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.363 * * [simplify]: iters left: 4 (6 enodes) 33.367 * * [simplify]: iters left: 3 (20 enodes) 33.373 * * [simplify]: iters left: 2 (22 enodes) 33.380 * * [simplify]: Extracting #0: cost 1 inf + 0 33.380 * * [simplify]: Extracting #1: cost 4 inf + 0 33.380 * * [simplify]: Extracting #2: cost 5 inf + 1 33.380 * * [simplify]: Extracting #3: cost 7 inf + 1 33.380 * * [simplify]: Extracting #4: cost 1 inf + 368 33.380 * * [simplify]: Extracting #5: cost 0 inf + 490 33.381 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.381 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.381 * * * * [progress]: [ 59 / 188 ] simplifiying candidate # 33.381 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 33.381 * * [simplify]: iters left: 5 (5 enodes) 33.394 * * [simplify]: iters left: 4 (19 enodes) 33.399 * * [simplify]: iters left: 3 (21 enodes) 33.403 * * [simplify]: Extracting #0: cost 1 inf + 0 33.403 * * [simplify]: Extracting #1: cost 0 inf + 1 33.403 * [simplify]: Simplified to 1 33.404 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.404 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.404 * * [simplify]: iters left: 3 (5 enodes) 33.408 * * [simplify]: iters left: 2 (17 enodes) 33.414 * * [simplify]: iters left: 1 (19 enodes) 33.419 * * [simplify]: Extracting #0: cost 1 inf + 0 33.419 * * [simplify]: Extracting #1: cost 4 inf + 0 33.419 * * [simplify]: Extracting #2: cost 5 inf + 1 33.419 * * [simplify]: Extracting #3: cost 0 inf + 248 33.420 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.420 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.420 * * * * [progress]: [ 60 / 188 ] simplifiying candidate # 33.420 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.420 * * [simplify]: iters left: 5 (7 enodes) 33.425 * * [simplify]: iters left: 4 (25 enodes) 33.433 * * [simplify]: iters left: 3 (27 enodes) 33.441 * * [simplify]: Extracting #0: cost 1 inf + 0 33.441 * * [simplify]: Extracting #1: cost 4 inf + 0 33.441 * * [simplify]: Extracting #2: cost 5 inf + 1 33.441 * * [simplify]: Extracting #3: cost 7 inf + 1 33.441 * * [simplify]: Extracting #4: cost 6 inf + 2 33.441 * * [simplify]: Extracting #5: cost 2 inf + 368 33.441 * * [simplify]: Extracting #6: cost 0 inf + 490 33.441 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.441 * [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)))) 33.442 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.442 * * [simplify]: iters left: 4 (6 enodes) 33.444 * * [simplify]: iters left: 3 (20 enodes) 33.447 * * [simplify]: iters left: 2 (22 enodes) 33.450 * * [simplify]: Extracting #0: cost 1 inf + 0 33.450 * * [simplify]: Extracting #1: cost 4 inf + 0 33.450 * * [simplify]: Extracting #2: cost 5 inf + 1 33.450 * * [simplify]: Extracting #3: cost 7 inf + 1 33.450 * * [simplify]: Extracting #4: cost 1 inf + 368 33.450 * * [simplify]: Extracting #5: cost 0 inf + 490 33.450 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.451 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.451 * * * * [progress]: [ 61 / 188 ] simplifiying candidate # 33.451 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 33.451 * * [simplify]: iters left: 5 (4 enodes) 33.455 * * [simplify]: iters left: 4 (14 enodes) 33.457 * * [simplify]: iters left: 3 (16 enodes) 33.459 * * [simplify]: Extracting #0: cost 1 inf + 0 33.459 * * [simplify]: Extracting #1: cost 0 inf + 1 33.459 * [simplify]: Simplified to 1 33.459 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.459 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.459 * * [simplify]: iters left: 3 (5 enodes) 33.462 * * [simplify]: iters left: 2 (17 enodes) 33.464 * * [simplify]: iters left: 1 (19 enodes) 33.467 * * [simplify]: Extracting #0: cost 1 inf + 0 33.467 * * [simplify]: Extracting #1: cost 4 inf + 0 33.467 * * [simplify]: Extracting #2: cost 5 inf + 1 33.467 * * [simplify]: Extracting #3: cost 0 inf + 248 33.467 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.467 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.467 * * * * [progress]: [ 62 / 188 ] simplifiying candidate # 33.468 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.468 * * [simplify]: iters left: 6 (7 enodes) 33.471 * * [simplify]: iters left: 5 (25 enodes) 33.478 * * [simplify]: iters left: 4 (32 enodes) 33.488 * * [simplify]: iters left: 3 (34 enodes) 33.498 * * [simplify]: Extracting #0: cost 1 inf + 0 33.498 * * [simplify]: Extracting #1: cost 7 inf + 0 33.498 * * [simplify]: Extracting #2: cost 11 inf + 1 33.498 * * [simplify]: Extracting #3: cost 13 inf + 1 33.498 * * [simplify]: Extracting #4: cost 10 inf + 84 33.498 * * [simplify]: Extracting #5: cost 4 inf + 1014 33.499 * * [simplify]: Extracting #6: cost 1 inf + 1498 33.499 * * [simplify]: Extracting #7: cost 0 inf + 1700 33.500 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 33.500 * [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)))) 33.500 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 33.500 * * [simplify]: iters left: 4 (6 enodes) 33.504 * * [simplify]: iters left: 3 (20 enodes) 33.508 * * [simplify]: iters left: 2 (22 enodes) 33.511 * * [simplify]: Extracting #0: cost 1 inf + 0 33.511 * * [simplify]: Extracting #1: cost 4 inf + 0 33.511 * * [simplify]: Extracting #2: cost 5 inf + 1 33.511 * * [simplify]: Extracting #3: cost 7 inf + 1 33.512 * * [simplify]: Extracting #4: cost 1 inf + 488 33.512 * * [simplify]: Extracting #5: cost 0 inf + 650 33.512 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.512 * [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)))) 33.512 * * * * [progress]: [ 63 / 188 ] simplifiying candidate # 33.512 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 33.512 * * [simplify]: iters left: 6 (7 enodes) 33.514 * * [simplify]: iters left: 5 (24 enodes) 33.520 * * [simplify]: iters left: 4 (26 enodes) 33.524 * * [simplify]: Extracting #0: cost 1 inf + 0 33.524 * * [simplify]: Extracting #1: cost 4 inf + 0 33.524 * * [simplify]: Extracting #2: cost 6 inf + 1 33.524 * * [simplify]: Extracting #3: cost 9 inf + 1 33.524 * * [simplify]: Extracting #4: cost 8 inf + 2 33.524 * * [simplify]: Extracting #5: cost 2 inf + 730 33.525 * * [simplify]: Extracting #6: cost 0 inf + 972 33.525 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.525 * [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)))) 33.525 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 33.525 * * [simplify]: iters left: 4 (6 enodes) 33.527 * * [simplify]: iters left: 3 (20 enodes) 33.530 * * [simplify]: iters left: 2 (22 enodes) 33.533 * * [simplify]: Extracting #0: cost 1 inf + 0 33.533 * * [simplify]: Extracting #1: cost 4 inf + 0 33.533 * * [simplify]: Extracting #2: cost 5 inf + 1 33.533 * * [simplify]: Extracting #3: cost 7 inf + 1 33.534 * * [simplify]: Extracting #4: cost 1 inf + 568 33.534 * * [simplify]: Extracting #5: cost 0 inf + 730 33.534 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.534 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.534 * * * * [progress]: [ 64 / 188 ] simplifiying candidate # 33.534 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.534 * * [simplify]: iters left: 4 (6 enodes) 33.538 * * [simplify]: iters left: 3 (20 enodes) 33.544 * * [simplify]: iters left: 2 (22 enodes) 33.550 * * [simplify]: Extracting #0: cost 1 inf + 0 33.550 * * [simplify]: Extracting #1: cost 4 inf + 0 33.550 * * [simplify]: Extracting #2: cost 5 inf + 1 33.550 * * [simplify]: Extracting #3: cost 7 inf + 1 33.550 * * [simplify]: Extracting #4: cost 1 inf + 368 33.550 * * [simplify]: Extracting #5: cost 0 inf + 490 33.550 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.550 * [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)))) 33.551 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.551 * * [simplify]: iters left: 4 (6 enodes) 33.553 * * [simplify]: iters left: 3 (20 enodes) 33.555 * * [simplify]: iters left: 2 (22 enodes) 33.559 * * [simplify]: Extracting #0: cost 1 inf + 0 33.559 * * [simplify]: Extracting #1: cost 4 inf + 0 33.559 * * [simplify]: Extracting #2: cost 5 inf + 1 33.559 * * [simplify]: Extracting #3: cost 7 inf + 1 33.559 * * [simplify]: Extracting #4: cost 1 inf + 368 33.559 * * [simplify]: Extracting #5: cost 0 inf + 490 33.559 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.559 * [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)))) 33.559 * * * * [progress]: [ 65 / 188 ] simplifiying candidate # 33.560 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 33.560 * * [simplify]: iters left: 3 (3 enodes) 33.562 * * [simplify]: iters left: 2 (9 enodes) 33.563 * * [simplify]: iters left: 1 (11 enodes) 33.565 * * [simplify]: Extracting #0: cost 1 inf + 0 33.565 * * [simplify]: Extracting #1: cost 0 inf + 1 33.565 * [simplify]: Simplified to 1 33.565 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.565 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.565 * * [simplify]: iters left: 3 (5 enodes) 33.567 * * [simplify]: iters left: 2 (17 enodes) 33.570 * * [simplify]: iters left: 1 (19 enodes) 33.573 * * [simplify]: Extracting #0: cost 1 inf + 0 33.573 * * [simplify]: Extracting #1: cost 4 inf + 0 33.573 * * [simplify]: Extracting #2: cost 5 inf + 1 33.573 * * [simplify]: Extracting #3: cost 0 inf + 248 33.573 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.573 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.573 * * * * [progress]: [ 66 / 188 ] simplifiying candidate # 33.573 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.573 * * [simplify]: iters left: 4 (6 enodes) 33.575 * * [simplify]: iters left: 3 (20 enodes) 33.578 * * [simplify]: iters left: 2 (22 enodes) 33.585 * * [simplify]: Extracting #0: cost 1 inf + 0 33.585 * * [simplify]: Extracting #1: cost 4 inf + 0 33.585 * * [simplify]: Extracting #2: cost 5 inf + 1 33.585 * * [simplify]: Extracting #3: cost 7 inf + 1 33.585 * * [simplify]: Extracting #4: cost 1 inf + 368 33.585 * * [simplify]: Extracting #5: cost 0 inf + 490 33.586 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.586 * [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)))) 33.586 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.586 * * [simplify]: iters left: 4 (6 enodes) 33.590 * * [simplify]: iters left: 3 (20 enodes) 33.595 * * [simplify]: iters left: 2 (22 enodes) 33.598 * * [simplify]: Extracting #0: cost 1 inf + 0 33.598 * * [simplify]: Extracting #1: cost 4 inf + 0 33.598 * * [simplify]: Extracting #2: cost 5 inf + 1 33.598 * * [simplify]: Extracting #3: cost 7 inf + 1 33.598 * * [simplify]: Extracting #4: cost 1 inf + 368 33.598 * * [simplify]: Extracting #5: cost 0 inf + 490 33.599 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.599 * [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)))) 33.599 * * * * [progress]: [ 67 / 188 ] simplifiying candidate # 33.599 * [simplify]: Simplifying (/ (sqrt 1) 1) 33.599 * * [simplify]: iters left: 3 (3 enodes) 33.601 * * [simplify]: iters left: 2 (9 enodes) 33.602 * * [simplify]: iters left: 1 (11 enodes) 33.604 * * [simplify]: Extracting #0: cost 1 inf + 0 33.604 * * [simplify]: Extracting #1: cost 0 inf + 1 33.604 * [simplify]: Simplified to 1 33.604 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.604 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.604 * * [simplify]: iters left: 3 (5 enodes) 33.607 * * [simplify]: iters left: 2 (17 enodes) 33.609 * * [simplify]: iters left: 1 (19 enodes) 33.612 * * [simplify]: Extracting #0: cost 1 inf + 0 33.612 * * [simplify]: Extracting #1: cost 4 inf + 0 33.612 * * [simplify]: Extracting #2: cost 5 inf + 1 33.613 * * [simplify]: Extracting #3: cost 0 inf + 248 33.613 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.613 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.613 * * * * [progress]: [ 68 / 188 ] simplifiying candidate # 33.613 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.613 * * [simplify]: iters left: 6 (6 enodes) 33.615 * * [simplify]: iters left: 5 (22 enodes) 33.618 * * [simplify]: iters left: 4 (26 enodes) 33.625 * * [simplify]: Extracting #0: cost 1 inf + 0 33.625 * * [simplify]: Extracting #1: cost 6 inf + 0 33.625 * * [simplify]: Extracting #2: cost 9 inf + 1 33.625 * * [simplify]: Extracting #3: cost 11 inf + 1 33.625 * * [simplify]: Extracting #4: cost 8 inf + 84 33.626 * * [simplify]: Extracting #5: cost 2 inf + 1013 33.626 * * [simplify]: Extracting #6: cost 0 inf + 1376 33.626 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.626 * [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)))) 33.627 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 33.627 * * [simplify]: iters left: 4 (5 enodes) 33.629 * * [simplify]: iters left: 3 (17 enodes) 33.635 * * [simplify]: iters left: 2 (19 enodes) 33.639 * * [simplify]: Extracting #0: cost 1 inf + 0 33.639 * * [simplify]: Extracting #1: cost 4 inf + 0 33.639 * * [simplify]: Extracting #2: cost 5 inf + 1 33.639 * * [simplify]: Extracting #3: cost 7 inf + 1 33.640 * * [simplify]: Extracting #4: cost 0 inf + 650 33.640 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.640 * [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)))) 33.640 * * * * [progress]: [ 69 / 188 ] simplifiying candidate # 33.640 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 33.640 * * [simplify]: iters left: 6 (6 enodes) 33.642 * * [simplify]: iters left: 5 (21 enodes) 33.645 * * [simplify]: iters left: 4 (23 enodes) 33.649 * * [simplify]: Extracting #0: cost 1 inf + 0 33.649 * * [simplify]: Extracting #1: cost 4 inf + 0 33.649 * * [simplify]: Extracting #2: cost 6 inf + 1 33.649 * * [simplify]: Extracting #3: cost 9 inf + 1 33.649 * * [simplify]: Extracting #4: cost 8 inf + 2 33.649 * * [simplify]: Extracting #5: cost 1 inf + 810 33.649 * * [simplify]: Extracting #6: cost 0 inf + 972 33.649 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.649 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.650 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 33.650 * * [simplify]: iters left: 4 (5 enodes) 33.651 * * [simplify]: iters left: 3 (17 enodes) 33.654 * * [simplify]: iters left: 2 (19 enodes) 33.657 * * [simplify]: Extracting #0: cost 1 inf + 0 33.657 * * [simplify]: Extracting #1: cost 4 inf + 0 33.657 * * [simplify]: Extracting #2: cost 5 inf + 1 33.657 * * [simplify]: Extracting #3: cost 7 inf + 1 33.657 * * [simplify]: Extracting #4: cost 0 inf + 730 33.657 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.657 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.657 * * * * [progress]: [ 70 / 188 ] simplifiying candidate # 33.658 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.658 * * [simplify]: iters left: 4 (5 enodes) 33.659 * * [simplify]: iters left: 3 (17 enodes) 33.662 * * [simplify]: iters left: 2 (19 enodes) 33.665 * * [simplify]: Extracting #0: cost 1 inf + 0 33.665 * * [simplify]: Extracting #1: cost 4 inf + 0 33.665 * * [simplify]: Extracting #2: cost 5 inf + 1 33.665 * * [simplify]: Extracting #3: cost 7 inf + 1 33.665 * * [simplify]: Extracting #4: cost 0 inf + 490 33.666 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.666 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.666 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.666 * * [simplify]: iters left: 4 (5 enodes) 33.668 * * [simplify]: iters left: 3 (17 enodes) 33.674 * * [simplify]: iters left: 2 (19 enodes) 33.679 * * [simplify]: Extracting #0: cost 1 inf + 0 33.680 * * [simplify]: Extracting #1: cost 4 inf + 0 33.680 * * [simplify]: Extracting #2: cost 5 inf + 1 33.680 * * [simplify]: Extracting #3: cost 7 inf + 1 33.680 * * [simplify]: Extracting #4: cost 0 inf + 490 33.680 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.680 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.680 * * * * [progress]: [ 71 / 188 ] simplifiying candidate # 33.680 * [simplify]: Simplifying (/ 1 (sqrt 1)) 33.681 * * [simplify]: iters left: 3 (3 enodes) 33.686 * * [simplify]: iters left: 2 (11 enodes) 33.689 * * [simplify]: iters left: 1 (13 enodes) 33.693 * * [simplify]: Extracting #0: cost 1 inf + 0 33.693 * * [simplify]: Extracting #1: cost 0 inf + 1 33.693 * [simplify]: Simplified to 1 33.693 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.693 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.693 * * [simplify]: iters left: 3 (4 enodes) 33.695 * * [simplify]: iters left: 2 (14 enodes) 33.699 * * [simplify]: iters left: 1 (16 enodes) 33.702 * * [simplify]: Extracting #0: cost 1 inf + 0 33.702 * * [simplify]: Extracting #1: cost 4 inf + 0 33.702 * * [simplify]: Extracting #2: cost 5 inf + 1 33.702 * * [simplify]: Extracting #3: cost 3 inf + 43 33.702 * * [simplify]: Extracting #4: cost 1 inf + 166 33.702 * * [simplify]: Extracting #5: cost 0 inf + 248 33.702 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.702 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.702 * * * * [progress]: [ 72 / 188 ] simplifiying candidate # 33.702 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.702 * * [simplify]: iters left: 4 (5 enodes) 33.704 * * [simplify]: iters left: 3 (17 enodes) 33.706 * * [simplify]: iters left: 2 (19 enodes) 33.709 * * [simplify]: Extracting #0: cost 1 inf + 0 33.709 * * [simplify]: Extracting #1: cost 4 inf + 0 33.709 * * [simplify]: Extracting #2: cost 5 inf + 1 33.709 * * [simplify]: Extracting #3: cost 7 inf + 1 33.709 * * [simplify]: Extracting #4: cost 0 inf + 490 33.710 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.710 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.710 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.710 * * [simplify]: iters left: 4 (5 enodes) 33.711 * * [simplify]: iters left: 3 (17 enodes) 33.714 * * [simplify]: iters left: 2 (19 enodes) 33.717 * * [simplify]: Extracting #0: cost 1 inf + 0 33.717 * * [simplify]: Extracting #1: cost 4 inf + 0 33.717 * * [simplify]: Extracting #2: cost 5 inf + 1 33.717 * * [simplify]: Extracting #3: cost 7 inf + 1 33.717 * * [simplify]: Extracting #4: cost 0 inf + 490 33.717 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.717 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.717 * * * * [progress]: [ 73 / 188 ] simplifiying candidate # 33.718 * [simplify]: Simplifying (/ 1 1) 33.718 * * [simplify]: iters left: 2 (2 enodes) 33.718 * * [simplify]: iters left: 1 (6 enodes) 33.720 * * [simplify]: Extracting #0: cost 1 inf + 0 33.720 * * [simplify]: Extracting #1: cost 0 inf + 1 33.720 * [simplify]: Simplified to 1 33.720 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.720 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.720 * * [simplify]: iters left: 3 (4 enodes) 33.721 * * [simplify]: iters left: 2 (14 enodes) 33.723 * * [simplify]: iters left: 1 (16 enodes) 33.725 * * [simplify]: Extracting #0: cost 1 inf + 0 33.726 * * [simplify]: Extracting #1: cost 4 inf + 0 33.726 * * [simplify]: Extracting #2: cost 5 inf + 1 33.726 * * [simplify]: Extracting #3: cost 3 inf + 43 33.726 * * [simplify]: Extracting #4: cost 1 inf + 166 33.726 * * [simplify]: Extracting #5: cost 0 inf + 248 33.726 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.726 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.726 * * * * [progress]: [ 74 / 188 ] simplifiying candidate # 33.726 * * * * [progress]: [ 75 / 188 ] simplifiying candidate # 33.726 * * * * [progress]: [ 76 / 188 ] simplifiying candidate # 33.726 * * * * [progress]: [ 77 / 188 ] simplifiying candidate # 33.726 * [simplify]: Simplifying (cbrt (sqrt k)) 33.727 * * [simplify]: iters left: 2 (3 enodes) 33.728 * * [simplify]: iters left: 1 (9 enodes) 33.730 * * [simplify]: Extracting #0: cost 1 inf + 0 33.730 * * [simplify]: Extracting #1: cost 3 inf + 0 33.730 * * [simplify]: Extracting #2: cost 5 inf + 0 33.730 * * [simplify]: Extracting #3: cost 4 inf + 1 33.730 * * [simplify]: Extracting #4: cost 0 inf + 325 33.730 * [simplify]: Simplified to (cbrt (sqrt k)) 33.730 * [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)))) 33.731 * * * * [progress]: [ 78 / 188 ] simplifiying candidate # 33.731 * [simplify]: Simplifying (sqrt (cbrt k)) 33.731 * * [simplify]: iters left: 2 (3 enodes) 33.732 * * [simplify]: iters left: 1 (9 enodes) 33.734 * * [simplify]: Extracting #0: cost 1 inf + 0 33.735 * * [simplify]: Extracting #1: cost 3 inf + 0 33.735 * * [simplify]: Extracting #2: cost 5 inf + 0 33.735 * * [simplify]: Extracting #3: cost 4 inf + 1 33.735 * * [simplify]: Extracting #4: cost 0 inf + 405 33.735 * [simplify]: Simplified to (sqrt (cbrt k)) 33.735 * [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)))) 33.735 * * * * [progress]: [ 79 / 188 ] simplifiying candidate # 33.735 * [simplify]: Simplifying (sqrt (sqrt k)) 33.735 * * [simplify]: iters left: 2 (3 enodes) 33.737 * * [simplify]: iters left: 1 (9 enodes) 33.739 * * [simplify]: Extracting #0: cost 1 inf + 0 33.739 * * [simplify]: Extracting #1: cost 3 inf + 0 33.739 * * [simplify]: Extracting #2: cost 5 inf + 0 33.740 * * [simplify]: Extracting #3: cost 4 inf + 1 33.742 * * [simplify]: Extracting #4: cost 0 inf + 245 33.742 * [simplify]: Simplified to (sqrt (sqrt k)) 33.742 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.742 * * * * [progress]: [ 80 / 188 ] simplifiying candidate # 33.743 * [simplify]: Simplifying (sqrt k) 33.743 * * [simplify]: iters left: 1 (2 enodes) 33.744 * * [simplify]: Extracting #0: cost 1 inf + 0 33.744 * * [simplify]: Extracting #1: cost 3 inf + 0 33.744 * * [simplify]: Extracting #2: cost 2 inf + 1 33.744 * * [simplify]: Extracting #3: cost 0 inf + 83 33.744 * [simplify]: Simplified to (sqrt k) 33.744 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.744 * * * * [progress]: [ 81 / 188 ] simplifiying candidate # 33.744 * [simplify]: Simplifying (sqrt (sqrt k)) 33.744 * * [simplify]: iters left: 2 (3 enodes) 33.746 * * [simplify]: iters left: 1 (9 enodes) 33.748 * * [simplify]: Extracting #0: cost 1 inf + 0 33.748 * * [simplify]: Extracting #1: cost 3 inf + 0 33.748 * * [simplify]: Extracting #2: cost 5 inf + 0 33.748 * * [simplify]: Extracting #3: cost 4 inf + 1 33.748 * * [simplify]: Extracting #4: cost 0 inf + 245 33.749 * [simplify]: Simplified to (sqrt (sqrt k)) 33.749 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.749 * * * * [progress]: [ 82 / 188 ] simplifiying candidate # 33.749 * [simplify]: Simplifying (sqrt k) 33.749 * * [simplify]: iters left: 1 (2 enodes) 33.750 * * [simplify]: Extracting #0: cost 1 inf + 0 33.750 * * [simplify]: Extracting #1: cost 3 inf + 0 33.750 * * [simplify]: Extracting #2: cost 2 inf + 1 33.750 * * [simplify]: Extracting #3: cost 0 inf + 83 33.750 * [simplify]: Simplified to (sqrt k) 33.750 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.750 * * * * [progress]: [ 83 / 188 ] simplifiying candidate # 33.751 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 33.751 * * [simplify]: iters left: 3 (3 enodes) 33.757 * * [simplify]: iters left: 2 (11 enodes) 33.760 * * [simplify]: iters left: 1 (13 enodes) 33.764 * * [simplify]: Extracting #0: cost 1 inf + 0 33.764 * * [simplify]: Extracting #1: cost 0 inf + 1 33.764 * [simplify]: Simplified to 1 33.764 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.764 * * * * [progress]: [ 84 / 188 ] simplifiying candidate # 33.764 * [simplify]: Simplifying (sqrt 1) 33.764 * * [simplify]: iters left: 1 (2 enodes) 33.767 * * [simplify]: Extracting #0: cost 1 inf + 0 33.767 * * [simplify]: Extracting #1: cost 0 inf + 1 33.767 * [simplify]: Simplified to 1 33.767 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 33.767 * * * * [progress]: [ 85 / 188 ] simplifiying candidate # 33.768 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 33.768 * * * * [progress]: [ 87 / 188 ] simplifiying candidate # 33.768 * [simplify]: Simplifying (* (* 2 PI) n) 33.768 * * [simplify]: iters left: 4 (5 enodes) 33.771 * * [simplify]: iters left: 3 (19 enodes) 33.777 * * [simplify]: iters left: 2 (27 enodes) 33.785 * * [simplify]: iters left: 1 (32 enodes) 33.792 * * [simplify]: Extracting #0: cost 1 inf + 0 33.792 * * [simplify]: Extracting #1: cost 8 inf + 0 33.793 * * [simplify]: Extracting #2: cost 7 inf + 45 33.793 * * [simplify]: Extracting #3: cost 0 inf + 421 33.793 * [simplify]: Simplified to (* (* 2 PI) n) 33.793 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 33.793 * * * * [progress]: [ 88 / 188 ] simplifiying candidate # 33.794 * [simplify]: Simplifying (* (* 2 PI) n) 33.794 * * [simplify]: iters left: 4 (5 enodes) 33.797 * * [simplify]: iters left: 3 (19 enodes) 33.803 * * [simplify]: iters left: 2 (27 enodes) 33.811 * * [simplify]: iters left: 1 (32 enodes) 33.819 * * [simplify]: Extracting #0: cost 1 inf + 0 33.819 * * [simplify]: Extracting #1: cost 8 inf + 0 33.819 * * [simplify]: Extracting #2: cost 7 inf + 45 33.819 * * [simplify]: Extracting #3: cost 0 inf + 421 33.819 * [simplify]: Simplified to (* (* 2 PI) n) 33.819 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 33.820 * * * * [progress]: [ 89 / 188 ] simplifiying candidate # 33.820 * * * * [progress]: [ 90 / 188 ] simplifiying candidate # 33.820 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 33.820 * * [simplify]: iters left: 5 (8 enodes) 33.825 * * [simplify]: iters left: 4 (28 enodes) 33.833 * * [simplify]: iters left: 3 (36 enodes) 33.844 * * [simplify]: iters left: 2 (42 enodes) 33.856 * * [simplify]: Extracting #0: cost 1 inf + 0 33.856 * * [simplify]: Extracting #1: cost 8 inf + 0 33.856 * * [simplify]: Extracting #2: cost 17 inf + 0 33.856 * * [simplify]: Extracting #3: cost 13 inf + 74 33.856 * * [simplify]: Extracting #4: cost 6 inf + 1015 33.857 * * [simplify]: Extracting #5: cost 0 inf + 2107 33.857 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 33.858 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 33.858 * * * * [progress]: [ 91 / 188 ] simplifiying candidate # 33.858 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 33.858 * * [simplify]: iters left: 5 (7 enodes) 33.862 * * [simplify]: iters left: 4 (26 enodes) 33.870 * * [simplify]: iters left: 3 (35 enodes) 33.881 * * [simplify]: iters left: 2 (44 enodes) 33.893 * * [simplify]: Extracting #0: cost 1 inf + 0 33.893 * * [simplify]: Extracting #1: cost 8 inf + 0 33.893 * * [simplify]: Extracting #2: cost 18 inf + 0 33.893 * * [simplify]: Extracting #3: cost 15 inf + 74 33.894 * * [simplify]: Extracting #4: cost 6 inf + 918 33.894 * * [simplify]: Extracting #5: cost 0 inf + 1911 33.895 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 33.895 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 33.895 * * * * [progress]: [ 92 / 188 ] simplifiying candidate # 33.895 * * * * [progress]: [ 93 / 188 ] simplifiying candidate # 33.895 * * * * [progress]: [ 94 / 188 ] simplifiying candidate # 33.895 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 33.896 * * [simplify]: iters left: 6 (11 enodes) 33.905 * * [simplify]: iters left: 5 (47 enodes) 33.927 * * [simplify]: iters left: 4 (115 enodes) 33.979 * * [simplify]: iters left: 3 (384 enodes) 34.318 * * [simplify]: Extracting #0: cost 1 inf + 0 34.319 * * [simplify]: Extracting #1: cost 102 inf + 0 34.321 * * [simplify]: Extracting #2: cost 263 inf + 1026 34.332 * * [simplify]: Extracting #3: cost 88 inf + 24284 34.356 * * [simplify]: Extracting #4: cost 2 inf + 40704 34.376 * * [simplify]: Extracting #5: cost 0 inf + 41008 34.395 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 34.395 * [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)))) 34.396 * * * * [progress]: [ 95 / 188 ] simplifiying candidate # 34.396 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 34.396 * * [simplify]: iters left: 6 (9 enodes) 34.402 * * [simplify]: iters left: 5 (45 enodes) 34.420 * * [simplify]: iters left: 4 (116 enodes) 34.481 * * [simplify]: iters left: 3 (371 enodes) 34.735 * * [simplify]: Extracting #0: cost 1 inf + 0 34.735 * * [simplify]: Extracting #1: cost 82 inf + 0 34.738 * * [simplify]: Extracting #2: cost 200 inf + 498 34.749 * * [simplify]: Extracting #3: cost 121 inf + 10421 34.766 * * [simplify]: Extracting #4: cost 5 inf + 33505 34.786 * * [simplify]: Extracting #5: cost 0 inf + 33849 34.795 * * [simplify]: Extracting #6: cost 0 inf + 33809 34.805 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 34.805 * [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)))) 34.805 * * * * [progress]: [ 96 / 188 ] simplifiying candidate # 34.805 * * * * [progress]: [ 97 / 188 ] simplifiying candidate # 34.805 * * * * [progress]: [ 98 / 188 ] simplifiying candidate # 34.805 * * * * [progress]: [ 99 / 188 ] simplifiying candidate # 34.805 * * * * [progress]: [ 100 / 188 ] simplifiying candidate # 34.806 * [simplify]: Simplifying (cbrt n) 34.806 * * [simplify]: iters left: 1 (2 enodes) 34.806 * * [simplify]: Extracting #0: cost 1 inf + 0 34.806 * * [simplify]: Extracting #1: cost 3 inf + 0 34.806 * * [simplify]: Extracting #2: cost 2 inf + 1 34.806 * * [simplify]: Extracting #3: cost 0 inf + 163 34.806 * [simplify]: Simplified to (cbrt n) 34.806 * [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)))) 34.806 * * * * [progress]: [ 101 / 188 ] simplifiying candidate # 34.807 * [simplify]: Simplifying (sqrt n) 34.807 * * [simplify]: iters left: 1 (2 enodes) 34.807 * * [simplify]: Extracting #0: cost 1 inf + 0 34.807 * * [simplify]: Extracting #1: cost 3 inf + 0 34.807 * * [simplify]: Extracting #2: cost 2 inf + 1 34.807 * * [simplify]: Extracting #3: cost 0 inf + 83 34.807 * [simplify]: Simplified to (sqrt n) 34.807 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 34.807 * * * * [progress]: [ 102 / 188 ] simplifiying candidate # 34.807 * * * * [progress]: [ 103 / 188 ] simplifiying candidate # 34.807 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 34.807 * * * * [progress]: [ 105 / 188 ] simplifiying candidate # 34.807 * * * * [progress]: [ 106 / 188 ] simplifiying candidate # 34.807 * * * * [progress]: [ 107 / 188 ] simplifiying candidate # 34.808 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 34.808 * * [simplify]: iters left: 6 (17 enodes) 34.813 * * [simplify]: iters left: 5 (67 enodes) 34.834 * * [simplify]: iters left: 4 (111 enodes) 34.885 * * [simplify]: iters left: 3 (297 enodes) 34.982 * * [simplify]: Extracting #0: cost 1 inf + 0 34.982 * * [simplify]: Extracting #1: cost 33 inf + 0 34.983 * * [simplify]: Extracting #2: cost 87 inf + 0 34.983 * * [simplify]: Extracting #3: cost 150 inf + 73 34.985 * * [simplify]: Extracting #4: cost 166 inf + 857 34.990 * * [simplify]: Extracting #5: cost 94 inf + 17702 35.006 * * [simplify]: Extracting #6: cost 6 inf + 46007 35.024 * * [simplify]: Extracting #7: cost 0 inf + 48738 35.041 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 35.041 * [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))))) 35.041 * * * * [progress]: [ 108 / 188 ] simplifiying candidate # 35.042 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 35.042 * * [simplify]: iters left: 6 (16 enodes) 35.049 * * [simplify]: iters left: 5 (65 enodes) 35.061 * * [simplify]: iters left: 4 (104 enodes) 35.094 * * [simplify]: iters left: 3 (239 enodes) 35.189 * * [simplify]: Extracting #0: cost 1 inf + 0 35.189 * * [simplify]: Extracting #1: cost 27 inf + 0 35.189 * * [simplify]: Extracting #2: cost 74 inf + 0 35.190 * * [simplify]: Extracting #3: cost 128 inf + 2 35.191 * * [simplify]: Extracting #4: cost 142 inf + 759 35.195 * * [simplify]: Extracting #5: cost 73 inf + 12705 35.206 * * [simplify]: Extracting #6: cost 11 inf + 32489 35.219 * * [simplify]: Extracting #7: cost 1 inf + 36150 35.226 * * [simplify]: Extracting #8: cost 0 inf + 36684 35.233 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 35.233 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 35.234 * * * * [progress]: [ 109 / 188 ] simplifiying candidate # 35.234 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.234 * * [simplify]: iters left: 6 (15 enodes) 35.238 * * [simplify]: iters left: 5 (64 enodes) 35.250 * * [simplify]: iters left: 4 (111 enodes) 35.270 * * [simplify]: iters left: 3 (223 enodes) 35.356 * * [simplify]: Extracting #0: cost 1 inf + 0 35.356 * * [simplify]: Extracting #1: cost 19 inf + 0 35.356 * * [simplify]: Extracting #2: cost 65 inf + 0 35.356 * * [simplify]: Extracting #3: cost 121 inf + 2 35.357 * * [simplify]: Extracting #4: cost 142 inf + 741 35.359 * * [simplify]: Extracting #5: cost 72 inf + 12707 35.364 * * [simplify]: Extracting #6: cost 6 inf + 29228 35.370 * * [simplify]: Extracting #7: cost 1 inf + 30319 35.379 * * [simplify]: Extracting #8: cost 0 inf + 30744 35.390 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 35.390 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 35.390 * * * * [progress]: [ 110 / 188 ] simplifiying candidate # 35.390 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 35.391 * * [simplify]: iters left: 6 (15 enodes) 35.399 * * [simplify]: iters left: 5 (64 enodes) 35.416 * * [simplify]: iters left: 4 (111 enodes) 35.437 * * [simplify]: iters left: 3 (223 enodes) 35.516 * * [simplify]: Extracting #0: cost 1 inf + 0 35.516 * * [simplify]: Extracting #1: cost 19 inf + 0 35.516 * * [simplify]: Extracting #2: cost 65 inf + 0 35.516 * * [simplify]: Extracting #3: cost 121 inf + 2 35.517 * * [simplify]: Extracting #4: cost 142 inf + 741 35.519 * * [simplify]: Extracting #5: cost 72 inf + 12707 35.525 * * [simplify]: Extracting #6: cost 6 inf + 29228 35.536 * * [simplify]: Extracting #7: cost 1 inf + 30319 35.549 * * [simplify]: Extracting #8: cost 0 inf + 30744 35.562 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 35.562 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 35.562 * * * * [progress]: [ 111 / 188 ] simplifiying candidate # 35.562 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 35.563 * * [simplify]: iters left: 6 (15 enodes) 35.571 * * [simplify]: iters left: 5 (63 enodes) 35.592 * * [simplify]: iters left: 4 (107 enodes) 35.633 * * [simplify]: iters left: 3 (215 enodes) 35.714 * * [simplify]: Extracting #0: cost 1 inf + 0 35.714 * * [simplify]: Extracting #1: cost 20 inf + 0 35.714 * * [simplify]: Extracting #2: cost 95 inf + 0 35.714 * * [simplify]: Extracting #3: cost 169 inf + 2 35.715 * * [simplify]: Extracting #4: cost 176 inf + 579 35.717 * * [simplify]: Extracting #5: cost 115 inf + 10248 35.721 * * [simplify]: Extracting #6: cost 21 inf + 33876 35.731 * * [simplify]: Extracting #7: cost 0 inf + 40717 35.738 * * [simplify]: Extracting #8: cost 0 inf + 40597 35.745 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))) 35.745 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))) (log (sqrt k))))) 35.745 * * * * [progress]: [ 112 / 188 ] simplifiying candidate # 35.745 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 35.745 * * [simplify]: iters left: 6 (18 enodes) 35.751 * * [simplify]: iters left: 5 (73 enodes) 35.772 * * [simplify]: iters left: 4 (128 enodes) 35.806 * * [simplify]: iters left: 3 (376 enodes) 35.976 * * [simplify]: Extracting #0: cost 1 inf + 0 35.976 * * [simplify]: Extracting #1: cost 46 inf + 0 35.976 * * [simplify]: Extracting #2: cost 174 inf + 1 35.977 * * [simplify]: Extracting #3: cost 249 inf + 74 35.979 * * [simplify]: Extracting #4: cost 230 inf + 8323 35.988 * * [simplify]: Extracting #5: cost 63 inf + 59342 36.020 * * [simplify]: Extracting #6: cost 1 inf + 81574 36.051 * * [simplify]: Extracting #7: cost 0 inf + 82024 36.081 * * [simplify]: Extracting #8: cost 0 inf + 82023 36.111 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 36.112 * [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))))) 36.112 * * * * [progress]: [ 113 / 188 ] simplifiying candidate # 36.112 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 36.112 * * [simplify]: iters left: 6 (17 enodes) 36.122 * * [simplify]: iters left: 5 (71 enodes) 36.148 * * [simplify]: iters left: 4 (121 enodes) 36.193 * * [simplify]: iters left: 3 (302 enodes) 36.339 * * [simplify]: Extracting #0: cost 1 inf + 0 36.339 * * [simplify]: Extracting #1: cost 37 inf + 0 36.340 * * [simplify]: Extracting #2: cost 145 inf + 1 36.341 * * [simplify]: Extracting #3: cost 215 inf + 3 36.344 * * [simplify]: Extracting #4: cost 201 inf + 6020 36.359 * * [simplify]: Extracting #5: cost 35 inf + 50552 36.388 * * [simplify]: Extracting #6: cost 0 inf + 62673 36.415 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.415 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.415 * * * * [progress]: [ 114 / 188 ] simplifiying candidate # 36.415 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.416 * * [simplify]: iters left: 6 (16 enodes) 36.425 * * [simplify]: iters left: 5 (70 enodes) 36.448 * * [simplify]: iters left: 4 (128 enodes) 36.492 * * [simplify]: iters left: 3 (276 enodes) 36.590 * * [simplify]: Extracting #0: cost 1 inf + 0 36.590 * * [simplify]: Extracting #1: cost 27 inf + 0 36.591 * * [simplify]: Extracting #2: cost 116 inf + 1 36.594 * * [simplify]: Extracting #3: cost 190 inf + 3 36.597 * * [simplify]: Extracting #4: cost 184 inf + 4125 36.607 * * [simplify]: Extracting #5: cost 63 inf + 31414 36.626 * * [simplify]: Extracting #6: cost 4 inf + 47655 36.638 * * [simplify]: Extracting #7: cost 0 inf + 48696 36.649 * * [simplify]: Extracting #8: cost 0 inf + 48688 36.660 * * [simplify]: Extracting #9: cost 0 inf + 48686 36.680 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 36.680 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 36.680 * * * * [progress]: [ 115 / 188 ] simplifiying candidate # 36.680 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 36.680 * * [simplify]: iters left: 6 (16 enodes) 36.690 * * [simplify]: iters left: 5 (70 enodes) 36.717 * * [simplify]: iters left: 4 (128 enodes) 36.763 * * [simplify]: iters left: 3 (276 enodes) 36.883 * * [simplify]: Extracting #0: cost 1 inf + 0 36.883 * * [simplify]: Extracting #1: cost 27 inf + 0 36.883 * * [simplify]: Extracting #2: cost 116 inf + 1 36.884 * * [simplify]: Extracting #3: cost 190 inf + 3 36.886 * * [simplify]: Extracting #4: cost 184 inf + 4125 36.896 * * [simplify]: Extracting #5: cost 63 inf + 31414 36.908 * * [simplify]: Extracting #6: cost 4 inf + 47655 36.919 * * [simplify]: Extracting #7: cost 0 inf + 48696 36.929 * * [simplify]: Extracting #8: cost 0 inf + 48688 36.953 * * [simplify]: Extracting #9: cost 0 inf + 48686 36.973 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 36.973 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 36.973 * * * * [progress]: [ 116 / 188 ] simplifiying candidate # 36.973 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 36.974 * * [simplify]: iters left: 6 (16 enodes) 36.981 * * [simplify]: iters left: 5 (69 enodes) 36.994 * * [simplify]: iters left: 4 (124 enodes) 37.025 * * [simplify]: iters left: 3 (259 enodes) 37.108 * * [simplify]: Extracting #0: cost 1 inf + 0 37.109 * * [simplify]: Extracting #1: cost 27 inf + 0 37.109 * * [simplify]: Extracting #2: cost 145 inf + 1 37.111 * * [simplify]: Extracting #3: cost 234 inf + 3 37.113 * * [simplify]: Extracting #4: cost 227 inf + 2046 37.119 * * [simplify]: Extracting #5: cost 143 inf + 17826 37.133 * * [simplify]: Extracting #6: cost 50 inf + 43416 37.157 * * [simplify]: Extracting #7: cost 0 inf + 57654 37.171 * * [simplify]: Extracting #8: cost 0 inf + 57614 37.182 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))) 37.182 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k))))) 37.182 * * * * [progress]: [ 117 / 188 ] simplifiying candidate # 37.182 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 37.182 * * [simplify]: iters left: 6 (18 enodes) 37.188 * * [simplify]: iters left: 5 (74 enodes) 37.207 * * [simplify]: iters left: 4 (123 enodes) 37.266 * * [simplify]: iters left: 3 (352 enodes) 37.425 * * [simplify]: Extracting #0: cost 1 inf + 0 37.425 * * [simplify]: Extracting #1: cost 44 inf + 0 37.426 * * [simplify]: Extracting #2: cost 169 inf + 1 37.426 * * [simplify]: Extracting #3: cost 243 inf + 74 37.428 * * [simplify]: Extracting #4: cost 252 inf + 1557 37.430 * * [simplify]: Extracting #5: cost 186 inf + 15412 37.440 * * [simplify]: Extracting #6: cost 49 inf + 60900 37.465 * * [simplify]: Extracting #7: cost 4 inf + 78429 37.495 * * [simplify]: Extracting #8: cost 0 inf + 80185 37.513 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 37.513 * [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))))) 37.513 * * * * [progress]: [ 118 / 188 ] simplifiying candidate # 37.514 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 37.514 * * [simplify]: iters left: 6 (17 enodes) 37.520 * * [simplify]: iters left: 5 (72 enodes) 37.533 * * [simplify]: iters left: 4 (116 enodes) 37.577 * * [simplify]: iters left: 3 (286 enodes) 37.725 * * [simplify]: Extracting #0: cost 1 inf + 0 37.725 * * [simplify]: Extracting #1: cost 36 inf + 0 37.726 * * [simplify]: Extracting #2: cost 139 inf + 1 37.727 * * [simplify]: Extracting #3: cost 209 inf + 3 37.730 * * [simplify]: Extracting #4: cost 196 inf + 6399 37.744 * * [simplify]: Extracting #5: cost 54 inf + 42664 37.767 * * [simplify]: Extracting #6: cost 1 inf + 60164 37.790 * * [simplify]: Extracting #7: cost 0 inf + 60309 37.813 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 37.813 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 37.813 * * * * [progress]: [ 119 / 188 ] simplifiying candidate # 37.814 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 37.814 * * [simplify]: iters left: 6 (16 enodes) 37.824 * * [simplify]: iters left: 5 (71 enodes) 37.850 * * [simplify]: iters left: 4 (123 enodes) 37.873 * * [simplify]: iters left: 3 (269 enodes) 37.966 * * [simplify]: Extracting #0: cost 1 inf + 0 37.966 * * [simplify]: Extracting #1: cost 27 inf + 0 37.966 * * [simplify]: Extracting #2: cost 116 inf + 1 37.967 * * [simplify]: Extracting #3: cost 190 inf + 3 37.968 * * [simplify]: Extracting #4: cost 179 inf + 5800 37.975 * * [simplify]: Extracting #5: cost 40 inf + 37465 37.987 * * [simplify]: Extracting #6: cost 0 inf + 48625 38.006 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 38.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 38.006 * * * * [progress]: [ 120 / 188 ] simplifiying candidate # 38.007 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 38.007 * * [simplify]: iters left: 6 (16 enodes) 38.017 * * [simplify]: iters left: 5 (71 enodes) 38.033 * * [simplify]: iters left: 4 (123 enodes) 38.057 * * [simplify]: iters left: 3 (269 enodes) 38.164 * * [simplify]: Extracting #0: cost 1 inf + 0 38.164 * * [simplify]: Extracting #1: cost 27 inf + 0 38.165 * * [simplify]: Extracting #2: cost 116 inf + 1 38.166 * * [simplify]: Extracting #3: cost 190 inf + 3 38.168 * * [simplify]: Extracting #4: cost 179 inf + 5800 38.181 * * [simplify]: Extracting #5: cost 40 inf + 37465 38.200 * * [simplify]: Extracting #6: cost 0 inf + 48625 38.220 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 38.220 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 38.220 * * * * [progress]: [ 121 / 188 ] simplifiying candidate # 38.221 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 38.221 * * [simplify]: iters left: 6 (16 enodes) 38.230 * * [simplify]: iters left: 5 (70 enodes) 38.257 * * [simplify]: iters left: 4 (119 enodes) 38.292 * * [simplify]: iters left: 3 (255 enodes) 38.358 * * [simplify]: Extracting #0: cost 1 inf + 0 38.358 * * [simplify]: Extracting #1: cost 28 inf + 0 38.358 * * [simplify]: Extracting #2: cost 145 inf + 1 38.359 * * [simplify]: Extracting #3: cost 234 inf + 3 38.360 * * [simplify]: Extracting #4: cost 225 inf + 2146 38.363 * * [simplify]: Extracting #5: cost 134 inf + 19971 38.370 * * [simplify]: Extracting #6: cost 36 inf + 44913 38.390 * * [simplify]: Extracting #7: cost 0 inf + 58023 38.409 * * [simplify]: Extracting #8: cost 0 inf + 57823 38.429 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))) 38.429 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* PI (* n 2)))) (log (sqrt k))))) 38.430 * * * * [progress]: [ 122 / 188 ] simplifiying candidate # 38.430 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 38.430 * * [simplify]: iters left: 6 (17 enodes) 38.439 * * [simplify]: iters left: 5 (71 enodes) 38.453 * * [simplify]: iters left: 4 (117 enodes) 38.487 * * [simplify]: iters left: 3 (308 enodes) 38.619 * * [simplify]: Extracting #0: cost 1 inf + 0 38.619 * * [simplify]: Extracting #1: cost 36 inf + 0 38.619 * * [simplify]: Extracting #2: cost 109 inf + 1 38.620 * * [simplify]: Extracting #3: cost 168 inf + 74 38.621 * * [simplify]: Extracting #4: cost 180 inf + 1235 38.624 * * [simplify]: Extracting #5: cost 98 inf + 21050 38.641 * * [simplify]: Extracting #6: cost 6 inf + 53801 38.666 * * [simplify]: Extracting #7: cost 0 inf + 55704 38.682 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 38.682 * [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))))) 38.682 * * * * [progress]: [ 123 / 188 ] simplifiying candidate # 38.682 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 38.682 * * [simplify]: iters left: 6 (16 enodes) 38.688 * * [simplify]: iters left: 5 (69 enodes) 38.699 * * [simplify]: iters left: 4 (110 enodes) 38.732 * * [simplify]: iters left: 3 (249 enodes) 38.834 * * [simplify]: Extracting #0: cost 1 inf + 0 38.834 * * [simplify]: Extracting #1: cost 29 inf + 0 38.835 * * [simplify]: Extracting #2: cost 89 inf + 1 38.836 * * [simplify]: Extracting #3: cost 144 inf + 3 38.837 * * [simplify]: Extracting #4: cost 163 inf + 464 38.840 * * [simplify]: Extracting #5: cost 105 inf + 8181 38.852 * * [simplify]: Extracting #6: cost 14 inf + 37863 38.868 * * [simplify]: Extracting #7: cost 1 inf + 41636 38.886 * * [simplify]: Extracting #8: cost 0 inf + 41977 38.894 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 38.894 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 38.894 * * * * [progress]: [ 124 / 188 ] simplifiying candidate # 38.895 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 38.895 * * [simplify]: iters left: 6 (15 enodes) 38.900 * * [simplify]: iters left: 5 (68 enodes) 38.911 * * [simplify]: iters left: 4 (117 enodes) 38.938 * * [simplify]: iters left: 3 (233 enodes) 39.002 * * [simplify]: Extracting #0: cost 1 inf + 0 39.002 * * [simplify]: Extracting #1: cost 21 inf + 0 39.002 * * [simplify]: Extracting #2: cost 77 inf + 1 39.003 * * [simplify]: Extracting #3: cost 133 inf + 74 39.003 * * [simplify]: Extracting #4: cost 151 inf + 995 39.005 * * [simplify]: Extracting #5: cost 77 inf + 13831 39.011 * * [simplify]: Extracting #6: cost 6 inf + 31822 39.022 * * [simplify]: Extracting #7: cost 0 inf + 34387 39.035 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 39.035 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 39.036 * * * * [progress]: [ 125 / 188 ] simplifiying candidate # 39.036 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 39.036 * * [simplify]: iters left: 6 (15 enodes) 39.045 * * [simplify]: iters left: 5 (68 enodes) 39.067 * * [simplify]: iters left: 4 (117 enodes) 39.112 * * [simplify]: iters left: 3 (233 enodes) 39.200 * * [simplify]: Extracting #0: cost 1 inf + 0 39.200 * * [simplify]: Extracting #1: cost 21 inf + 0 39.200 * * [simplify]: Extracting #2: cost 77 inf + 1 39.201 * * [simplify]: Extracting #3: cost 133 inf + 74 39.202 * * [simplify]: Extracting #4: cost 151 inf + 995 39.204 * * [simplify]: Extracting #5: cost 77 inf + 13831 39.209 * * [simplify]: Extracting #6: cost 6 inf + 31822 39.216 * * [simplify]: Extracting #7: cost 0 inf + 34387 39.223 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 39.223 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 39.224 * * * * [progress]: [ 126 / 188 ] simplifiying candidate # 39.224 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 39.224 * * [simplify]: iters left: 6 (15 enodes) 39.230 * * [simplify]: iters left: 5 (67 enodes) 39.253 * * [simplify]: iters left: 4 (117 enodes) 39.293 * * [simplify]: iters left: 3 (224 enodes) 39.385 * * [simplify]: Extracting #0: cost 1 inf + 0 39.385 * * [simplify]: Extracting #1: cost 22 inf + 0 39.386 * * [simplify]: Extracting #2: cost 106 inf + 1 39.387 * * [simplify]: Extracting #3: cost 179 inf + 74 39.388 * * [simplify]: Extracting #4: cost 179 inf + 1141 39.391 * * [simplify]: Extracting #5: cost 125 inf + 10759 39.400 * * [simplify]: Extracting #6: cost 29 inf + 38783 39.412 * * [simplify]: Extracting #7: cost 1 inf + 44007 39.428 * * [simplify]: Extracting #8: cost 0 inf + 44283 39.447 * [simplify]: Simplified to (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))) 39.447 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* PI (* n 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 39.447 * * * * [progress]: [ 127 / 188 ] simplifiying candidate # 39.447 * * * * [progress]: [ 128 / 188 ] simplifiying candidate # 39.447 * * * * [progress]: [ 129 / 188 ] simplifiying candidate # 39.447 * [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)))) 39.448 * * [simplify]: iters left: 6 (19 enodes) 39.459 * * [simplify]: iters left: 5 (80 enodes) 39.481 * * [simplify]: iters left: 4 (188 enodes) 39.561 * * [simplify]: Extracting #0: cost 1 inf + 0 39.561 * * [simplify]: Extracting #1: cost 52 inf + 0 39.562 * * [simplify]: Extracting #2: cost 152 inf + 248 39.563 * * [simplify]: Extracting #3: cost 161 inf + 1681 39.564 * * [simplify]: Extracting #4: cost 148 inf + 2885 39.567 * * [simplify]: Extracting #5: cost 100 inf + 19336 39.579 * * [simplify]: Extracting #6: cost 2 inf + 75093 39.593 * * [simplify]: Extracting #7: cost 0 inf + 75063 39.606 * [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))) 39.606 * [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))))) 39.606 * * * * [progress]: [ 130 / 188 ] simplifiying candidate # 39.606 * [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)))) 39.607 * * [simplify]: iters left: 6 (17 enodes) 39.612 * * [simplify]: iters left: 5 (81 enodes) 39.645 * * [simplify]: iters left: 4 (170 enodes) 39.712 * * [simplify]: iters left: 3 (476 enodes) 40.082 * * [simplify]: Extracting #0: cost 1 inf + 0 40.082 * * [simplify]: Extracting #1: cost 91 inf + 0 40.084 * * [simplify]: Extracting #2: cost 417 inf + 3 40.086 * * [simplify]: Extracting #3: cost 448 inf + 952 40.089 * * [simplify]: Extracting #4: cost 416 inf + 4772 40.095 * * [simplify]: Extracting #5: cost 331 inf + 49541 40.126 * * [simplify]: Extracting #6: cost 64 inf + 238599 40.188 * * [simplify]: Extracting #7: cost 0 inf + 283122 40.257 * * [simplify]: Extracting #8: cost 0 inf + 280464 40.321 * * [simplify]: Extracting #9: cost 0 inf + 280424 40.390 * [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)))) 40.390 * [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)))))) 40.390 * * * * [progress]: [ 131 / 188 ] simplifiying candidate # 40.390 * * * * [progress]: [ 132 / 188 ] simplifiying candidate # 40.390 * * * * [progress]: [ 133 / 188 ] simplifiying candidate # 40.390 * * * * [progress]: [ 134 / 188 ] simplifiying candidate # 40.390 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 40.391 * * [simplify]: iters left: 6 (9 enodes) 40.394 * * [simplify]: iters left: 5 (37 enodes) 40.402 * * [simplify]: iters left: 4 (66 enodes) 40.420 * * [simplify]: iters left: 3 (105 enodes) 40.439 * * [simplify]: iters left: 2 (164 enodes) 40.483 * * [simplify]: iters left: 1 (292 enodes) 40.560 * * [simplify]: Extracting #0: cost 1 inf + 0 40.561 * * [simplify]: Extracting #1: cost 18 inf + 0 40.561 * * [simplify]: Extracting #2: cost 64 inf + 3 40.561 * * [simplify]: Extracting #3: cost 68 inf + 53 40.562 * * [simplify]: Extracting #4: cost 55 inf + 2111 40.567 * * [simplify]: Extracting #5: cost 21 inf + 17969 40.572 * * [simplify]: Extracting #6: cost 0 inf + 32739 40.576 * * [simplify]: Extracting #7: cost 0 inf + 32659 40.580 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 40.580 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 40.580 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 40.580 * * [simplify]: iters left: 6 (10 enodes) 40.583 * * [simplify]: iters left: 5 (38 enodes) 40.589 * * [simplify]: iters left: 4 (62 enodes) 40.599 * * [simplify]: iters left: 3 (104 enodes) 40.626 * * [simplify]: iters left: 2 (205 enodes) 40.689 * * [simplify]: iters left: 1 (464 enodes) 40.985 * * [simplify]: Extracting #0: cost 1 inf + 0 40.985 * * [simplify]: Extracting #1: cost 47 inf + 0 40.987 * * [simplify]: Extracting #2: cost 169 inf + 0 40.988 * * [simplify]: Extracting #3: cost 207 inf + 87 40.991 * * [simplify]: Extracting #4: cost 170 inf + 6541 40.998 * * [simplify]: Extracting #5: cost 78 inf + 60938 41.021 * * [simplify]: Extracting #6: cost 4 inf + 129528 41.048 * * [simplify]: Extracting #7: cost 0 inf + 129330 41.072 * * [simplify]: Extracting #8: cost 0 inf + 127557 41.100 * * [simplify]: Extracting #9: cost 0 inf + 127427 41.131 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 41.131 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 41.132 * * * * [progress]: [ 135 / 188 ] simplifiying candidate # 41.132 * * * * [progress]: [ 136 / 188 ] simplifiying candidate # 41.132 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.132 * * [simplify]: iters left: 6 (15 enodes) 41.137 * * [simplify]: iters left: 5 (61 enodes) 41.147 * * [simplify]: iters left: 4 (91 enodes) 41.164 * * [simplify]: iters left: 3 (129 enodes) 41.212 * * [simplify]: iters left: 2 (215 enodes) 41.263 * * [simplify]: iters left: 1 (375 enodes) 41.423 * * [simplify]: Extracting #0: cost 1 inf + 0 41.423 * * [simplify]: Extracting #1: cost 4 inf + 0 41.424 * * [simplify]: Extracting #2: cost 9 inf + 0 41.424 * * [simplify]: Extracting #3: cost 39 inf + 0 41.424 * * [simplify]: Extracting #4: cost 118 inf + 2 41.426 * * [simplify]: Extracting #5: cost 138 inf + 713 41.429 * * [simplify]: Extracting #6: cost 87 inf + 9065 41.442 * * [simplify]: Extracting #7: cost 12 inf + 46205 41.461 * * [simplify]: Extracting #8: cost 0 inf + 55733 41.481 * * [simplify]: Extracting #9: cost 0 inf + 54639 41.499 * * [simplify]: Extracting #10: cost 0 inf + 54558 41.509 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 41.510 * [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)))))) 41.510 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 41.510 * * [simplify]: iters left: 6 (15 enodes) 41.514 * * [simplify]: iters left: 5 (61 enodes) 41.525 * * [simplify]: iters left: 4 (91 enodes) 41.553 * * [simplify]: iters left: 3 (129 enodes) 41.598 * * [simplify]: iters left: 2 (215 enodes) 41.676 * * [simplify]: iters left: 1 (375 enodes) 41.833 * * [simplify]: Extracting #0: cost 1 inf + 0 41.833 * * [simplify]: Extracting #1: cost 4 inf + 0 41.833 * * [simplify]: Extracting #2: cost 9 inf + 0 41.833 * * [simplify]: Extracting #3: cost 39 inf + 0 41.834 * * [simplify]: Extracting #4: cost 118 inf + 2 41.835 * * [simplify]: Extracting #5: cost 138 inf + 713 41.839 * * [simplify]: Extracting #6: cost 87 inf + 9065 41.851 * * [simplify]: Extracting #7: cost 12 inf + 46205 41.871 * * [simplify]: Extracting #8: cost 0 inf + 55733 41.892 * * [simplify]: Extracting #9: cost 0 inf + 54639 41.912 * * [simplify]: Extracting #10: cost 0 inf + 54558 41.938 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 41.938 * [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))))))) 41.938 * * * * [progress]: [ 137 / 188 ] simplifiying candidate # 41.939 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 41.939 * * [simplify]: iters left: 6 (15 enodes) 41.948 * * [simplify]: iters left: 5 (64 enodes) 41.970 * * [simplify]: iters left: 4 (101 enodes) 42.003 * * [simplify]: iters left: 3 (160 enodes) 42.041 * * [simplify]: iters left: 2 (299 enodes) 42.153 * * [simplify]: Extracting #0: cost 1 inf + 0 42.154 * * [simplify]: Extracting #1: cost 34 inf + 0 42.154 * * [simplify]: Extracting #2: cost 102 inf + 0 42.155 * * [simplify]: Extracting #3: cost 155 inf + 2 42.156 * * [simplify]: Extracting #4: cost 168 inf + 139 42.159 * * [simplify]: Extracting #5: cost 136 inf + 4159 42.165 * * [simplify]: Extracting #6: cost 78 inf + 13897 42.185 * * [simplify]: Extracting #7: cost 16 inf + 59233 42.206 * * [simplify]: Extracting #8: cost 0 inf + 73111 42.228 * * [simplify]: Extracting #9: cost 0 inf + 73021 42.250 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 42.250 * [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))))) 42.250 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 42.250 * * [simplify]: iters left: 6 (15 enodes) 42.255 * * [simplify]: iters left: 5 (64 enodes) 42.266 * * [simplify]: iters left: 4 (101 enodes) 42.287 * * [simplify]: iters left: 3 (160 enodes) 42.347 * * [simplify]: iters left: 2 (299 enodes) 42.464 * * [simplify]: Extracting #0: cost 1 inf + 0 42.465 * * [simplify]: Extracting #1: cost 34 inf + 0 42.465 * * [simplify]: Extracting #2: cost 102 inf + 0 42.465 * * [simplify]: Extracting #3: cost 155 inf + 2 42.466 * * [simplify]: Extracting #4: cost 168 inf + 139 42.467 * * [simplify]: Extracting #5: cost 136 inf + 4159 42.470 * * [simplify]: Extracting #6: cost 78 inf + 13897 42.478 * * [simplify]: Extracting #7: cost 16 inf + 59233 42.496 * * [simplify]: Extracting #8: cost 0 inf + 73111 42.518 * * [simplify]: Extracting #9: cost 0 inf + 73021 42.540 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 42.540 * [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)))))) 42.540 * * * * [progress]: [ 138 / 188 ] simplifiying candidate # 42.540 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.541 * * [simplify]: iters left: 6 (16 enodes) 42.550 * * [simplify]: iters left: 5 (66 enodes) 42.576 * * [simplify]: iters left: 4 (106 enodes) 42.610 * * [simplify]: iters left: 3 (156 enodes) 42.645 * * [simplify]: iters left: 2 (230 enodes) 42.716 * * [simplify]: iters left: 1 (385 enodes) 42.852 * * [simplify]: Extracting #0: cost 1 inf + 0 42.852 * * [simplify]: Extracting #1: cost 7 inf + 0 42.852 * * [simplify]: Extracting #2: cost 13 inf + 1 42.852 * * [simplify]: Extracting #3: cost 39 inf + 1 42.852 * * [simplify]: Extracting #4: cost 111 inf + 288 42.853 * * [simplify]: Extracting #5: cost 135 inf + 1697 42.856 * * [simplify]: Extracting #6: cost 69 inf + 16537 42.864 * * [simplify]: Extracting #7: cost 2 inf + 58558 42.873 * * [simplify]: Extracting #8: cost 0 inf + 59911 42.889 * * [simplify]: Extracting #9: cost 0 inf + 59711 42.907 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 42.907 * [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)))))) 42.907 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 42.907 * * [simplify]: iters left: 6 (16 enodes) 42.917 * * [simplify]: iters left: 5 (66 enodes) 42.938 * * [simplify]: iters left: 4 (106 enodes) 42.972 * * [simplify]: iters left: 3 (156 enodes) 43.020 * * [simplify]: iters left: 2 (230 enodes) 43.474 * * [simplify]: iters left: 1 (385 enodes) 43.664 * * [simplify]: Extracting #0: cost 1 inf + 0 43.664 * * [simplify]: Extracting #1: cost 7 inf + 0 43.664 * * [simplify]: Extracting #2: cost 13 inf + 1 43.665 * * [simplify]: Extracting #3: cost 39 inf + 1 43.665 * * [simplify]: Extracting #4: cost 111 inf + 288 43.671 * * [simplify]: Extracting #5: cost 135 inf + 1697 43.677 * * [simplify]: Extracting #6: cost 69 inf + 16537 43.689 * * [simplify]: Extracting #7: cost 2 inf + 58558 43.698 * * [simplify]: Extracting #8: cost 0 inf + 59911 43.707 * * [simplify]: Extracting #9: cost 0 inf + 59711 43.716 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 43.716 * [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))))) 43.717 * * * * [progress]: [ 139 / 188 ] simplifiying candidate # 43.717 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.717 * * [simplify]: iters left: 6 (16 enodes) 43.726 * * [simplify]: iters left: 5 (69 enodes) 43.748 * * [simplify]: iters left: 4 (113 enodes) 43.774 * * [simplify]: iters left: 3 (192 enodes) 43.822 * * [simplify]: iters left: 2 (378 enodes) 43.932 * * [simplify]: Extracting #0: cost 1 inf + 0 43.932 * * [simplify]: Extracting #1: cost 45 inf + 0 43.933 * * [simplify]: Extracting #2: cost 112 inf + 1 43.933 * * [simplify]: Extracting #3: cost 167 inf + 3 43.935 * * [simplify]: Extracting #4: cost 176 inf + 259 43.942 * * [simplify]: Extracting #5: cost 141 inf + 5103 43.949 * * [simplify]: Extracting #6: cost 76 inf + 19730 43.969 * * [simplify]: Extracting #7: cost 10 inf + 66527 43.982 * * [simplify]: Extracting #8: cost 0 inf + 76629 43.994 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 43.994 * [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))))) 43.995 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 43.995 * * [simplify]: iters left: 6 (16 enodes) 44.002 * * [simplify]: iters left: 5 (69 enodes) 44.024 * * [simplify]: iters left: 4 (113 enodes) 44.063 * * [simplify]: iters left: 3 (192 enodes) 44.138 * * [simplify]: iters left: 2 (378 enodes) 44.258 * * [simplify]: Extracting #0: cost 1 inf + 0 44.258 * * [simplify]: Extracting #1: cost 45 inf + 0 44.258 * * [simplify]: Extracting #2: cost 112 inf + 1 44.259 * * [simplify]: Extracting #3: cost 167 inf + 3 44.260 * * [simplify]: Extracting #4: cost 176 inf + 259 44.265 * * [simplify]: Extracting #5: cost 141 inf + 5103 44.272 * * [simplify]: Extracting #6: cost 76 inf + 19730 44.292 * * [simplify]: Extracting #7: cost 10 inf + 66527 44.311 * * [simplify]: Extracting #8: cost 0 inf + 76629 44.324 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 44.324 * [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))))) 44.324 * * * * [progress]: [ 140 / 188 ] simplifiying candidate # 44.324 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.324 * * [simplify]: iters left: 6 (16 enodes) 44.329 * * [simplify]: iters left: 5 (66 enodes) 44.342 * * [simplify]: iters left: 4 (106 enodes) 44.373 * * [simplify]: iters left: 3 (156 enodes) 44.412 * * [simplify]: iters left: 2 (230 enodes) 44.485 * * [simplify]: iters left: 1 (385 enodes) 44.633 * * [simplify]: Extracting #0: cost 1 inf + 0 44.633 * * [simplify]: Extracting #1: cost 7 inf + 0 44.633 * * [simplify]: Extracting #2: cost 13 inf + 1 44.633 * * [simplify]: Extracting #3: cost 39 inf + 1 44.634 * * [simplify]: Extracting #4: cost 111 inf + 288 44.635 * * [simplify]: Extracting #5: cost 135 inf + 1697 44.641 * * [simplify]: Extracting #6: cost 69 inf + 16537 44.657 * * [simplify]: Extracting #7: cost 2 inf + 58558 44.666 * * [simplify]: Extracting #8: cost 0 inf + 59911 44.675 * * [simplify]: Extracting #9: cost 0 inf + 59711 44.684 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 44.684 * [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)))))) 44.685 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 44.685 * * [simplify]: iters left: 6 (16 enodes) 44.690 * * [simplify]: iters left: 5 (66 enodes) 44.715 * * [simplify]: iters left: 4 (106 enodes) 44.751 * * [simplify]: iters left: 3 (156 enodes) 44.799 * * [simplify]: iters left: 2 (230 enodes) 44.865 * * [simplify]: iters left: 1 (385 enodes) 45.017 * * [simplify]: Extracting #0: cost 1 inf + 0 45.017 * * [simplify]: Extracting #1: cost 7 inf + 0 45.017 * * [simplify]: Extracting #2: cost 13 inf + 1 45.017 * * [simplify]: Extracting #3: cost 39 inf + 1 45.018 * * [simplify]: Extracting #4: cost 111 inf + 288 45.020 * * [simplify]: Extracting #5: cost 135 inf + 1697 45.026 * * [simplify]: Extracting #6: cost 69 inf + 16537 45.041 * * [simplify]: Extracting #7: cost 2 inf + 58558 45.059 * * [simplify]: Extracting #8: cost 0 inf + 59911 45.081 * * [simplify]: Extracting #9: cost 0 inf + 59711 45.099 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 45.099 * [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))))) 45.099 * * * * [progress]: [ 141 / 188 ] simplifiying candidate # 45.100 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.100 * * [simplify]: iters left: 6 (16 enodes) 45.106 * * [simplify]: iters left: 5 (69 enodes) 45.119 * * [simplify]: iters left: 4 (113 enodes) 45.147 * * [simplify]: iters left: 3 (192 enodes) 45.206 * * [simplify]: iters left: 2 (378 enodes) 45.322 * * [simplify]: Extracting #0: cost 1 inf + 0 45.322 * * [simplify]: Extracting #1: cost 45 inf + 0 45.323 * * [simplify]: Extracting #2: cost 112 inf + 1 45.324 * * [simplify]: Extracting #3: cost 167 inf + 3 45.326 * * [simplify]: Extracting #4: cost 176 inf + 259 45.328 * * [simplify]: Extracting #5: cost 141 inf + 5103 45.333 * * [simplify]: Extracting #6: cost 76 inf + 19730 45.343 * * [simplify]: Extracting #7: cost 10 inf + 66527 45.365 * * [simplify]: Extracting #8: cost 0 inf + 76629 45.390 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 45.390 * [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))))) 45.390 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 45.390 * * [simplify]: iters left: 6 (16 enodes) 45.401 * * [simplify]: iters left: 5 (69 enodes) 45.423 * * [simplify]: iters left: 4 (113 enodes) 45.463 * * [simplify]: iters left: 3 (192 enodes) 45.540 * * [simplify]: iters left: 2 (378 enodes) 45.689 * * [simplify]: Extracting #0: cost 1 inf + 0 45.689 * * [simplify]: Extracting #1: cost 45 inf + 0 45.690 * * [simplify]: Extracting #2: cost 112 inf + 1 45.690 * * [simplify]: Extracting #3: cost 167 inf + 3 45.691 * * [simplify]: Extracting #4: cost 176 inf + 259 45.693 * * [simplify]: Extracting #5: cost 141 inf + 5103 45.696 * * [simplify]: Extracting #6: cost 76 inf + 19730 45.710 * * [simplify]: Extracting #7: cost 10 inf + 66527 45.739 * * [simplify]: Extracting #8: cost 0 inf + 76629 45.755 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 45.755 * [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))))) 45.755 * * * * [progress]: [ 142 / 188 ] simplifiying candidate # 45.755 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 45.755 * * [simplify]: iters left: 6 (15 enodes) 45.760 * * [simplify]: iters left: 5 (63 enodes) 45.771 * * [simplify]: iters left: 4 (97 enodes) 45.794 * * [simplify]: iters left: 3 (152 enodes) 45.845 * * [simplify]: iters left: 2 (244 enodes) 45.896 * * [simplify]: iters left: 1 (400 enodes) 46.021 * * [simplify]: Extracting #0: cost 1 inf + 0 46.021 * * [simplify]: Extracting #1: cost 7 inf + 0 46.021 * * [simplify]: Extracting #2: cost 13 inf + 1 46.021 * * [simplify]: Extracting #3: cost 39 inf + 1 46.021 * * [simplify]: Extracting #4: cost 113 inf + 3 46.025 * * [simplify]: Extracting #5: cost 147 inf + 1541 46.028 * * [simplify]: Extracting #6: cost 70 inf + 15032 46.034 * * [simplify]: Extracting #7: cost 17 inf + 41663 46.048 * * [simplify]: Extracting #8: cost 0 inf + 55513 46.065 * * [simplify]: Extracting #9: cost 0 inf + 55313 46.082 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 46.082 * [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)))))) 46.083 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 46.083 * * [simplify]: iters left: 6 (15 enodes) 46.092 * * [simplify]: iters left: 5 (63 enodes) 46.113 * * [simplify]: iters left: 4 (97 enodes) 46.146 * * [simplify]: iters left: 3 (152 enodes) 46.194 * * [simplify]: iters left: 2 (244 enodes) 46.255 * * [simplify]: iters left: 1 (400 enodes) 46.413 * * [simplify]: Extracting #0: cost 1 inf + 0 46.413 * * [simplify]: Extracting #1: cost 7 inf + 0 46.413 * * [simplify]: Extracting #2: cost 13 inf + 1 46.413 * * [simplify]: Extracting #3: cost 39 inf + 1 46.414 * * [simplify]: Extracting #4: cost 113 inf + 3 46.415 * * [simplify]: Extracting #5: cost 147 inf + 1541 46.419 * * [simplify]: Extracting #6: cost 70 inf + 15032 46.426 * * [simplify]: Extracting #7: cost 17 inf + 41663 46.434 * * [simplify]: Extracting #8: cost 0 inf + 55513 46.443 * * [simplify]: Extracting #9: cost 0 inf + 55313 46.459 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 46.459 * [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))))) 46.459 * * * * [progress]: [ 143 / 188 ] simplifiying candidate # 46.460 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.460 * * [simplify]: iters left: 6 (15 enodes) 46.469 * * [simplify]: iters left: 5 (66 enodes) 46.491 * * [simplify]: iters left: 4 (109 enodes) 46.534 * * [simplify]: iters left: 3 (192 enodes) 46.589 * * [simplify]: iters left: 2 (371 enodes) 46.788 * * [simplify]: Extracting #0: cost 1 inf + 0 46.788 * * [simplify]: Extracting #1: cost 40 inf + 0 46.789 * * [simplify]: Extracting #2: cost 127 inf + 1 46.790 * * [simplify]: Extracting #3: cost 186 inf + 3 46.792 * * [simplify]: Extracting #4: cost 180 inf + 1500 46.797 * * [simplify]: Extracting #5: cost 115 inf + 12508 46.815 * * [simplify]: Extracting #6: cost 18 inf + 70745 46.830 * * [simplify]: Extracting #7: cost 0 inf + 85905 46.844 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 46.844 * [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))))) 46.844 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 46.844 * * [simplify]: iters left: 6 (15 enodes) 46.852 * * [simplify]: iters left: 5 (66 enodes) 46.867 * * [simplify]: iters left: 4 (109 enodes) 46.888 * * [simplify]: iters left: 3 (192 enodes) 46.945 * * [simplify]: iters left: 2 (371 enodes) 47.072 * * [simplify]: Extracting #0: cost 1 inf + 0 47.072 * * [simplify]: Extracting #1: cost 40 inf + 0 47.073 * * [simplify]: Extracting #2: cost 127 inf + 1 47.074 * * [simplify]: Extracting #3: cost 186 inf + 3 47.076 * * [simplify]: Extracting #4: cost 180 inf + 1500 47.080 * * [simplify]: Extracting #5: cost 115 inf + 12508 47.089 * * [simplify]: Extracting #6: cost 18 inf + 70745 47.106 * * [simplify]: Extracting #7: cost 0 inf + 85905 47.125 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 47.125 * [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))))) 47.125 * * * * [progress]: [ 144 / 188 ] simplifiying candidate # 47.126 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 47.126 * * [simplify]: iters left: 6 (15 enodes) 47.135 * * [simplify]: iters left: 5 (63 enodes) 47.155 * * [simplify]: iters left: 4 (97 enodes) 47.188 * * [simplify]: iters left: 3 (152 enodes) 47.241 * * [simplify]: iters left: 2 (244 enodes) 47.319 * * [simplify]: iters left: 1 (400 enodes) 47.482 * * [simplify]: Extracting #0: cost 1 inf + 0 47.483 * * [simplify]: Extracting #1: cost 7 inf + 0 47.483 * * [simplify]: Extracting #2: cost 13 inf + 1 47.483 * * [simplify]: Extracting #3: cost 39 inf + 1 47.484 * * [simplify]: Extracting #4: cost 113 inf + 3 47.485 * * [simplify]: Extracting #5: cost 147 inf + 1541 47.495 * * [simplify]: Extracting #6: cost 70 inf + 15032 47.508 * * [simplify]: Extracting #7: cost 17 inf + 41663 47.521 * * [simplify]: Extracting #8: cost 0 inf + 55513 47.530 * * [simplify]: Extracting #9: cost 0 inf + 55313 47.539 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 47.539 * [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)))))) 47.539 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 47.540 * * [simplify]: iters left: 6 (15 enodes) 47.544 * * [simplify]: iters left: 5 (63 enodes) 47.560 * * [simplify]: iters left: 4 (97 enodes) 47.592 * * [simplify]: iters left: 3 (152 enodes) 47.629 * * [simplify]: iters left: 2 (244 enodes) 47.699 * * [simplify]: iters left: 1 (400 enodes) 47.830 * * [simplify]: Extracting #0: cost 1 inf + 0 47.830 * * [simplify]: Extracting #1: cost 7 inf + 0 47.830 * * [simplify]: Extracting #2: cost 13 inf + 1 47.830 * * [simplify]: Extracting #3: cost 39 inf + 1 47.831 * * [simplify]: Extracting #4: cost 113 inf + 3 47.832 * * [simplify]: Extracting #5: cost 147 inf + 1541 47.835 * * [simplify]: Extracting #6: cost 70 inf + 15032 47.841 * * [simplify]: Extracting #7: cost 17 inf + 41663 47.850 * * [simplify]: Extracting #8: cost 0 inf + 55513 47.867 * * [simplify]: Extracting #9: cost 0 inf + 55313 47.884 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 47.885 * [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))))) 47.885 * * * * [progress]: [ 145 / 188 ] simplifiying candidate # 47.885 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 47.885 * * [simplify]: iters left: 6 (15 enodes) 47.894 * * [simplify]: iters left: 5 (66 enodes) 47.914 * * [simplify]: iters left: 4 (109 enodes) 47.936 * * [simplify]: iters left: 3 (192 enodes) 47.991 * * [simplify]: iters left: 2 (371 enodes) 48.184 * * [simplify]: Extracting #0: cost 1 inf + 0 48.184 * * [simplify]: Extracting #1: cost 40 inf + 0 48.185 * * [simplify]: Extracting #2: cost 127 inf + 1 48.186 * * [simplify]: Extracting #3: cost 186 inf + 3 48.189 * * [simplify]: Extracting #4: cost 180 inf + 1500 48.194 * * [simplify]: Extracting #5: cost 115 inf + 12508 48.212 * * [simplify]: Extracting #6: cost 18 inf + 70745 48.240 * * [simplify]: Extracting #7: cost 0 inf + 85905 48.267 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 48.267 * [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))))) 48.268 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 48.268 * * [simplify]: iters left: 6 (15 enodes) 48.280 * * [simplify]: iters left: 5 (66 enodes) 48.303 * * [simplify]: iters left: 4 (109 enodes) 48.323 * * [simplify]: iters left: 3 (192 enodes) 48.369 * * [simplify]: iters left: 2 (371 enodes) 48.521 * * [simplify]: Extracting #0: cost 1 inf + 0 48.521 * * [simplify]: Extracting #1: cost 40 inf + 0 48.522 * * [simplify]: Extracting #2: cost 127 inf + 1 48.524 * * [simplify]: Extracting #3: cost 186 inf + 3 48.526 * * [simplify]: Extracting #4: cost 180 inf + 1500 48.530 * * [simplify]: Extracting #5: cost 115 inf + 12508 48.549 * * [simplify]: Extracting #6: cost 18 inf + 70745 48.576 * * [simplify]: Extracting #7: cost 0 inf + 85905 48.608 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 48.608 * [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))))) 48.608 * * * * [progress]: [ 146 / 188 ] simplifiying candidate # 48.608 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 48.608 * * [simplify]: iters left: 5 (7 enodes) 48.613 * * [simplify]: iters left: 4 (32 enodes) 48.626 * * [simplify]: iters left: 3 (57 enodes) 48.645 * * [simplify]: iters left: 2 (88 enodes) 48.676 * * [simplify]: iters left: 1 (156 enodes) 48.743 * * [simplify]: Extracting #0: cost 1 inf + 0 48.743 * * [simplify]: Extracting #1: cost 13 inf + 0 48.743 * * [simplify]: Extracting #2: cost 49 inf + 2 48.743 * * [simplify]: Extracting #3: cost 80 inf + 6 48.744 * * [simplify]: Extracting #4: cost 58 inf + 1840 48.745 * * [simplify]: Extracting #5: cost 22 inf + 9206 48.748 * * [simplify]: Extracting #6: cost 1 inf + 20886 48.751 * * [simplify]: Extracting #7: cost 0 inf + 21301 48.754 * * [simplify]: Extracting #8: cost 0 inf + 21130 48.757 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 48.757 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 48.757 * * * * [progress]: [ 147 / 188 ] simplifiying candidate # 48.758 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 48.758 * * [simplify]: iters left: 6 (11 enodes) 48.761 * * [simplify]: iters left: 5 (48 enodes) 48.770 * * [simplify]: iters left: 4 (77 enodes) 48.796 * * [simplify]: iters left: 3 (118 enodes) 48.838 * * [simplify]: iters left: 2 (206 enodes) 48.889 * * [simplify]: iters left: 1 (370 enodes) 49.034 * * [simplify]: Extracting #0: cost 1 inf + 0 49.034 * * [simplify]: Extracting #1: cost 3 inf + 0 49.034 * * [simplify]: Extracting #2: cost 27 inf + 0 49.035 * * [simplify]: Extracting #3: cost 102 inf + 1 49.036 * * [simplify]: Extracting #4: cost 162 inf + 134 49.042 * * [simplify]: Extracting #5: cost 156 inf + 519 49.047 * * [simplify]: Extracting #6: cost 94 inf + 9125 49.057 * * [simplify]: Extracting #7: cost 36 inf + 32718 49.077 * * [simplify]: Extracting #8: cost 2 inf + 60006 49.098 * * [simplify]: Extracting #9: cost 0 inf + 59623 49.120 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 49.120 * [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)))))) 49.121 * * * * [progress]: [ 148 / 188 ] simplifiying candidate # 49.121 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 49.121 * * [simplify]: iters left: 6 (11 enodes) 49.128 * * [simplify]: iters left: 5 (48 enodes) 49.144 * * [simplify]: iters left: 4 (78 enodes) 49.166 * * [simplify]: iters left: 3 (119 enodes) 49.193 * * [simplify]: iters left: 2 (210 enodes) 49.233 * * [simplify]: iters left: 1 (383 enodes) 49.410 * * [simplify]: Extracting #0: cost 1 inf + 0 49.410 * * [simplify]: Extracting #1: cost 4 inf + 0 49.410 * * [simplify]: Extracting #2: cost 28 inf + 0 49.411 * * [simplify]: Extracting #3: cost 110 inf + 1 49.411 * * [simplify]: Extracting #4: cost 152 inf + 178 49.412 * * [simplify]: Extracting #5: cost 142 inf + 935 49.414 * * [simplify]: Extracting #6: cost 87 inf + 7703 49.420 * * [simplify]: Extracting #7: cost 23 inf + 38047 49.429 * * [simplify]: Extracting #8: cost 1 inf + 56893 49.438 * * [simplify]: Extracting #9: cost 0 inf + 58062 49.447 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 49.447 * [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))))) 49.447 * * * * [progress]: [ 149 / 188 ] simplifiying candidate # 49.448 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 49.448 * * [simplify]: iters left: 5 (10 enodes) 49.451 * * [simplify]: iters left: 4 (45 enodes) 49.460 * * [simplify]: iters left: 3 (78 enodes) 49.483 * * [simplify]: iters left: 2 (118 enodes) 49.509 * * [simplify]: iters left: 1 (191 enodes) 49.546 * * [simplify]: Extracting #0: cost 1 inf + 0 49.546 * * [simplify]: Extracting #1: cost 13 inf + 0 49.547 * * [simplify]: Extracting #2: cost 59 inf + 1 49.547 * * [simplify]: Extracting #3: cost 91 inf + 7 49.547 * * [simplify]: Extracting #4: cost 83 inf + 556 49.549 * * [simplify]: Extracting #5: cost 33 inf + 11764 49.553 * * [simplify]: Extracting #6: cost 0 inf + 23469 49.557 * * [simplify]: Extracting #7: cost 0 inf + 23146 49.562 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 49.562 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 49.562 * * * * [progress]: [ 150 / 188 ] simplifiying candidate # 49.562 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 49.562 * * [simplify]: iters left: 6 (11 enodes) 49.568 * * [simplify]: iters left: 5 (51 enodes) 49.585 * * [simplify]: iters left: 4 (87 enodes) 49.616 * * [simplify]: iters left: 3 (143 enodes) 49.659 * * [simplify]: iters left: 2 (259 enodes) 49.724 * * [simplify]: iters left: 1 (469 enodes) 49.903 * * [simplify]: Extracting #0: cost 1 inf + 0 49.903 * * [simplify]: Extracting #1: cost 23 inf + 0 49.904 * * [simplify]: Extracting #2: cost 109 inf + 1 49.905 * * [simplify]: Extracting #3: cost 194 inf + 137 49.908 * * [simplify]: Extracting #4: cost 176 inf + 2344 49.913 * * [simplify]: Extracting #5: cost 80 inf + 17283 49.922 * * [simplify]: Extracting #6: cost 12 inf + 52046 49.935 * * [simplify]: Extracting #7: cost 0 inf + 61992 49.953 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 49.953 * [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))))) 49.954 * * * * [progress]: [ 151 / 188 ] simplifiying candidate # 49.954 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 49.954 * * [simplify]: iters left: 6 (6 enodes) 49.958 * * [simplify]: iters left: 5 (20 enodes) 49.965 * * [simplify]: iters left: 4 (22 enodes) 49.971 * * [simplify]: Extracting #0: cost 1 inf + 0 49.971 * * [simplify]: Extracting #1: cost 3 inf + 0 49.971 * * [simplify]: Extracting #2: cost 5 inf + 0 49.971 * * [simplify]: Extracting #3: cost 8 inf + 0 49.972 * * [simplify]: Extracting #4: cost 9 inf + 1 49.972 * * [simplify]: Extracting #5: cost 8 inf + 2 49.972 * * [simplify]: Extracting #6: cost 1 inf + 774 49.972 * * [simplify]: Extracting #7: cost 0 inf + 976 49.972 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 49.972 * [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))))) 49.973 * * * * [progress]: [ 152 / 188 ] simplifiying candidate # 49.973 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 49.973 * * [simplify]: iters left: 4 (5 enodes) 49.975 * * [simplify]: iters left: 3 (17 enodes) 49.978 * * [simplify]: iters left: 2 (19 enodes) 49.980 * * [simplify]: Extracting #0: cost 1 inf + 0 49.980 * * [simplify]: Extracting #1: cost 3 inf + 0 49.981 * * [simplify]: Extracting #2: cost 6 inf + 0 49.981 * * [simplify]: Extracting #3: cost 7 inf + 1 49.981 * * [simplify]: Extracting #4: cost 0 inf + 492 49.981 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 49.981 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 49.981 * * * * [progress]: [ 153 / 188 ] simplifiying candidate # 49.981 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 49.981 * * [simplify]: iters left: 6 (8 enodes) 49.984 * * [simplify]: iters left: 5 (32 enodes) 49.990 * * [simplify]: iters left: 4 (48 enodes) 49.998 * * [simplify]: iters left: 3 (76 enodes) 50.010 * * [simplify]: iters left: 2 (81 enodes) 50.016 * * [simplify]: Extracting #0: cost 1 inf + 0 50.016 * * [simplify]: Extracting #1: cost 6 inf + 0 50.017 * * [simplify]: Extracting #2: cost 9 inf + 1 50.017 * * [simplify]: Extracting #3: cost 11 inf + 1 50.017 * * [simplify]: Extracting #4: cost 2 inf + 1052 50.017 * * [simplify]: Extracting #5: cost 0 inf + 1376 50.017 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.017 * [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))))) 50.017 * * * * [progress]: [ 154 / 188 ] simplifiying candidate # 50.018 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 50.018 * * [simplify]: iters left: 6 (8 enodes) 50.021 * * [simplify]: iters left: 5 (29 enodes) 50.026 * * [simplify]: iters left: 4 (31 enodes) 50.032 * * [simplify]: Extracting #0: cost 1 inf + 0 50.032 * * [simplify]: Extracting #1: cost 4 inf + 0 50.032 * * [simplify]: Extracting #2: cost 6 inf + 1 50.032 * * [simplify]: Extracting #3: cost 9 inf + 1 50.032 * * [simplify]: Extracting #4: cost 8 inf + 2 50.032 * * [simplify]: Extracting #5: cost 2 inf + 729 50.032 * * [simplify]: Extracting #6: cost 0 inf + 972 50.032 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 50.032 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.032 * * * * [progress]: [ 155 / 188 ] simplifiying candidate # 50.032 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 50.033 * * [simplify]: iters left: 5 (7 enodes) 50.035 * * [simplify]: iters left: 4 (25 enodes) 50.039 * * [simplify]: iters left: 3 (27 enodes) 50.043 * * [simplify]: Extracting #0: cost 1 inf + 0 50.043 * * [simplify]: Extracting #1: cost 4 inf + 0 50.043 * * [simplify]: Extracting #2: cost 5 inf + 1 50.043 * * [simplify]: Extracting #3: cost 7 inf + 1 50.043 * * [simplify]: Extracting #4: cost 6 inf + 2 50.043 * * [simplify]: Extracting #5: cost 2 inf + 368 50.043 * * [simplify]: Extracting #6: cost 0 inf + 490 50.044 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.044 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.044 * * * * [progress]: [ 156 / 188 ] simplifiying candidate # 50.044 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 50.044 * * [simplify]: iters left: 5 (5 enodes) 50.049 * * [simplify]: iters left: 4 (19 enodes) 50.053 * * [simplify]: iters left: 3 (21 enodes) 50.057 * * [simplify]: Extracting #0: cost 1 inf + 0 50.057 * * [simplify]: Extracting #1: cost 0 inf + 1 50.057 * [simplify]: Simplified to 1 50.057 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.058 * * * * [progress]: [ 157 / 188 ] simplifiying candidate # 50.058 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 50.058 * * [simplify]: iters left: 5 (7 enodes) 50.063 * * [simplify]: iters left: 4 (25 enodes) 50.072 * * [simplify]: iters left: 3 (27 enodes) 50.079 * * [simplify]: Extracting #0: cost 1 inf + 0 50.079 * * [simplify]: Extracting #1: cost 4 inf + 0 50.080 * * [simplify]: Extracting #2: cost 5 inf + 1 50.080 * * [simplify]: Extracting #3: cost 7 inf + 1 50.080 * * [simplify]: Extracting #4: cost 6 inf + 2 50.080 * * [simplify]: Extracting #5: cost 2 inf + 368 50.080 * * [simplify]: Extracting #6: cost 0 inf + 490 50.080 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.080 * * * * [progress]: [ 158 / 188 ] simplifiying candidate # 50.081 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 50.081 * * [simplify]: iters left: 5 (4 enodes) 50.089 * * [simplify]: iters left: 4 (14 enodes) 50.092 * * [simplify]: iters left: 3 (16 enodes) 50.095 * * [simplify]: Extracting #0: cost 1 inf + 0 50.095 * * [simplify]: Extracting #1: cost 0 inf + 1 50.095 * [simplify]: Simplified to 1 50.095 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.096 * * * * [progress]: [ 159 / 188 ] simplifiying candidate # 50.096 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.096 * * [simplify]: iters left: 6 (7 enodes) 50.101 * * [simplify]: iters left: 5 (25 enodes) 50.109 * * [simplify]: iters left: 4 (32 enodes) 50.118 * * [simplify]: iters left: 3 (34 enodes) 50.127 * * [simplify]: Extracting #0: cost 1 inf + 0 50.127 * * [simplify]: Extracting #1: cost 7 inf + 0 50.127 * * [simplify]: Extracting #2: cost 11 inf + 1 50.127 * * [simplify]: Extracting #3: cost 13 inf + 1 50.127 * * [simplify]: Extracting #4: cost 10 inf + 84 50.127 * * [simplify]: Extracting #5: cost 4 inf + 1014 50.128 * * [simplify]: Extracting #6: cost 1 inf + 1498 50.128 * * [simplify]: Extracting #7: cost 0 inf + 1700 50.129 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 50.129 * [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))))) 50.129 * * * * [progress]: [ 160 / 188 ] simplifiying candidate # 50.129 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 50.130 * * [simplify]: iters left: 6 (7 enodes) 50.134 * * [simplify]: iters left: 5 (24 enodes) 50.141 * * [simplify]: iters left: 4 (26 enodes) 50.149 * * [simplify]: Extracting #0: cost 1 inf + 0 50.149 * * [simplify]: Extracting #1: cost 4 inf + 0 50.149 * * [simplify]: Extracting #2: cost 6 inf + 1 50.149 * * [simplify]: Extracting #3: cost 9 inf + 1 50.149 * * [simplify]: Extracting #4: cost 8 inf + 2 50.149 * * [simplify]: Extracting #5: cost 2 inf + 730 50.149 * * [simplify]: Extracting #6: cost 0 inf + 972 50.150 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 50.150 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.150 * * * * [progress]: [ 161 / 188 ] simplifiying candidate # 50.150 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 50.150 * * [simplify]: iters left: 4 (6 enodes) 50.154 * * [simplify]: iters left: 3 (20 enodes) 50.160 * * [simplify]: iters left: 2 (22 enodes) 50.166 * * [simplify]: Extracting #0: cost 1 inf + 0 50.166 * * [simplify]: Extracting #1: cost 4 inf + 0 50.166 * * [simplify]: Extracting #2: cost 5 inf + 1 50.166 * * [simplify]: Extracting #3: cost 7 inf + 1 50.166 * * [simplify]: Extracting #4: cost 1 inf + 368 50.166 * * [simplify]: Extracting #5: cost 0 inf + 490 50.167 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.167 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.167 * * * * [progress]: [ 162 / 188 ] simplifiying candidate # 50.167 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 50.167 * * [simplify]: iters left: 3 (3 enodes) 50.173 * * [simplify]: iters left: 2 (9 enodes) 50.175 * * [simplify]: iters left: 1 (11 enodes) 50.178 * * [simplify]: Extracting #0: cost 1 inf + 0 50.178 * * [simplify]: Extracting #1: cost 0 inf + 1 50.178 * [simplify]: Simplified to 1 50.178 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.178 * * * * [progress]: [ 163 / 188 ] simplifiying candidate # 50.179 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 50.179 * * [simplify]: iters left: 4 (6 enodes) 50.183 * * [simplify]: iters left: 3 (20 enodes) 50.189 * * [simplify]: iters left: 2 (22 enodes) 50.195 * * [simplify]: Extracting #0: cost 1 inf + 0 50.195 * * [simplify]: Extracting #1: cost 4 inf + 0 50.195 * * [simplify]: Extracting #2: cost 5 inf + 1 50.195 * * [simplify]: Extracting #3: cost 7 inf + 1 50.195 * * [simplify]: Extracting #4: cost 1 inf + 368 50.195 * * [simplify]: Extracting #5: cost 0 inf + 490 50.195 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.196 * * * * [progress]: [ 164 / 188 ] simplifiying candidate # 50.196 * [simplify]: Simplifying (/ (sqrt 1) 1) 50.196 * * [simplify]: iters left: 3 (3 enodes) 50.199 * * [simplify]: iters left: 2 (9 enodes) 50.202 * * [simplify]: iters left: 1 (11 enodes) 50.205 * * [simplify]: Extracting #0: cost 1 inf + 0 50.205 * * [simplify]: Extracting #1: cost 0 inf + 1 50.205 * [simplify]: Simplified to 1 50.206 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.206 * * * * [progress]: [ 165 / 188 ] simplifiying candidate # 50.206 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.206 * * [simplify]: iters left: 6 (6 enodes) 50.209 * * [simplify]: iters left: 5 (22 enodes) 50.216 * * [simplify]: iters left: 4 (26 enodes) 50.224 * * [simplify]: Extracting #0: cost 1 inf + 0 50.225 * * [simplify]: Extracting #1: cost 6 inf + 0 50.225 * * [simplify]: Extracting #2: cost 9 inf + 1 50.225 * * [simplify]: Extracting #3: cost 11 inf + 1 50.225 * * [simplify]: Extracting #4: cost 8 inf + 84 50.225 * * [simplify]: Extracting #5: cost 2 inf + 1013 50.225 * * [simplify]: Extracting #6: cost 0 inf + 1376 50.226 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 50.226 * [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))))) 50.226 * * * * [progress]: [ 166 / 188 ] simplifiying candidate # 50.226 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 50.226 * * [simplify]: iters left: 6 (6 enodes) 50.229 * * [simplify]: iters left: 5 (21 enodes) 50.236 * * [simplify]: iters left: 4 (23 enodes) 50.243 * * [simplify]: Extracting #0: cost 1 inf + 0 50.243 * * [simplify]: Extracting #1: cost 4 inf + 0 50.243 * * [simplify]: Extracting #2: cost 6 inf + 1 50.243 * * [simplify]: Extracting #3: cost 9 inf + 1 50.243 * * [simplify]: Extracting #4: cost 8 inf + 2 50.243 * * [simplify]: Extracting #5: cost 1 inf + 810 50.244 * * [simplify]: Extracting #6: cost 0 inf + 972 50.244 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 50.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.244 * * * * [progress]: [ 167 / 188 ] simplifiying candidate # 50.244 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 50.245 * * [simplify]: iters left: 4 (5 enodes) 50.247 * * [simplify]: iters left: 3 (17 enodes) 50.253 * * [simplify]: iters left: 2 (19 enodes) 50.259 * * [simplify]: Extracting #0: cost 1 inf + 0 50.259 * * [simplify]: Extracting #1: cost 4 inf + 0 50.259 * * [simplify]: Extracting #2: cost 5 inf + 1 50.259 * * [simplify]: Extracting #3: cost 7 inf + 1 50.259 * * [simplify]: Extracting #4: cost 0 inf + 490 50.260 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.260 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.260 * * * * [progress]: [ 168 / 188 ] simplifiying candidate # 50.260 * [simplify]: Simplifying (/ 1 (sqrt 1)) 50.260 * * [simplify]: iters left: 3 (3 enodes) 50.266 * * [simplify]: iters left: 2 (11 enodes) 50.269 * * [simplify]: iters left: 1 (13 enodes) 50.272 * * [simplify]: Extracting #0: cost 1 inf + 0 50.272 * * [simplify]: Extracting #1: cost 0 inf + 1 50.272 * [simplify]: Simplified to 1 50.272 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.272 * * * * [progress]: [ 169 / 188 ] simplifiying candidate # 50.273 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 50.273 * * [simplify]: iters left: 4 (5 enodes) 50.275 * * [simplify]: iters left: 3 (17 enodes) 50.281 * * [simplify]: iters left: 2 (19 enodes) 50.286 * * [simplify]: Extracting #0: cost 1 inf + 0 50.286 * * [simplify]: Extracting #1: cost 4 inf + 0 50.286 * * [simplify]: Extracting #2: cost 5 inf + 1 50.287 * * [simplify]: Extracting #3: cost 7 inf + 1 50.287 * * [simplify]: Extracting #4: cost 0 inf + 490 50.287 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 50.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.287 * * * * [progress]: [ 170 / 188 ] simplifiying candidate # 50.287 * [simplify]: Simplifying (/ 1 1) 50.287 * * [simplify]: iters left: 2 (2 enodes) 50.289 * * [simplify]: iters left: 1 (6 enodes) 50.291 * * [simplify]: Extracting #0: cost 1 inf + 0 50.291 * * [simplify]: Extracting #1: cost 0 inf + 1 50.291 * [simplify]: Simplified to 1 50.291 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 50.291 * * * * [progress]: [ 171 / 188 ] simplifiying candidate # 50.291 * * * * [progress]: [ 172 / 188 ] simplifiying candidate # 50.291 * * * * [progress]: [ 173 / 188 ] simplifiying candidate # 50.291 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 50.291 * * [simplify]: iters left: 5 (8 enodes) 50.295 * * [simplify]: iters left: 4 (31 enodes) 50.306 * * [simplify]: iters left: 3 (51 enodes) 50.322 * * [simplify]: iters left: 2 (85 enodes) 50.353 * * [simplify]: iters left: 1 (152 enodes) 50.410 * * [simplify]: Extracting #0: cost 1 inf + 0 50.410 * * [simplify]: Extracting #1: cost 13 inf + 0 50.410 * * [simplify]: Extracting #2: cost 60 inf + 1 50.410 * * [simplify]: Extracting #3: cost 76 inf + 51 50.412 * * [simplify]: Extracting #4: cost 44 inf + 2846 50.414 * * [simplify]: Extracting #5: cost 21 inf + 7590 50.419 * * [simplify]: Extracting #6: cost 1 inf + 20687 50.424 * * [simplify]: Extracting #7: cost 0 inf + 20539 50.430 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 50.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 50.430 * * * * [progress]: [ 174 / 188 ] simplifiying candidate # 50.430 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 50.430 * * [simplify]: iters left: 6 (11 enodes) 50.438 * * [simplify]: iters left: 5 (47 enodes) 50.455 * * [simplify]: iters left: 4 (82 enodes) 50.485 * * [simplify]: iters left: 3 (126 enodes) 50.530 * * [simplify]: iters left: 2 (214 enodes) 50.577 * * [simplify]: iters left: 1 (360 enodes) 50.732 * * [simplify]: Extracting #0: cost 1 inf + 0 50.732 * * [simplify]: Extracting #1: cost 19 inf + 0 50.732 * * [simplify]: Extracting #2: cost 84 inf + 2 50.733 * * [simplify]: Extracting #3: cost 140 inf + 50 50.735 * * [simplify]: Extracting #4: cost 152 inf + 350 50.737 * * [simplify]: Extracting #5: cost 121 inf + 2516 50.741 * * [simplify]: Extracting #6: cost 59 inf + 11721 50.752 * * [simplify]: Extracting #7: cost 15 inf + 36647 50.768 * * [simplify]: Extracting #8: cost 0 inf + 48718 50.783 * * [simplify]: Extracting #9: cost 0 inf + 48296 50.792 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 50.792 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 50.792 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 50.793 * * * * [progress]: [ 176 / 188 ] simplifiying candidate # 50.793 * * * * [progress]: [ 177 / 188 ] simplifiying candidate # 50.793 * [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))))) 50.793 * * [simplify]: iters left: 6 (37 enodes) 50.806 * * [simplify]: iters left: 5 (187 enodes) 50.889 * * [simplify]: iters left: 4 (488 enodes) 51.142 * * [simplify]: Extracting #0: cost 1 inf + 0 51.142 * * [simplify]: Extracting #1: cost 57 inf + 0 51.144 * * [simplify]: Extracting #2: cost 294 inf + 0 51.147 * * [simplify]: Extracting #3: cost 524 inf + 199 51.159 * * [simplify]: Extracting #4: cost 512 inf + 6095 51.183 * * [simplify]: Extracting #5: cost 310 inf + 78036 51.238 * * [simplify]: Extracting #6: cost 40 inf + 220622 51.308 * * [simplify]: Extracting #7: cost 0 inf + 244981 51.402 * * [simplify]: Extracting #8: cost 0 inf + 243455 51.485 * * [simplify]: Extracting #9: cost 0 inf + 243454 51.587 * [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)))))))) 51.587 * [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)))))))))) 51.588 * * * * [progress]: [ 178 / 188 ] simplifiying candidate # 51.588 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 51.588 * * [simplify]: iters left: 6 (15 enodes) 51.598 * * [simplify]: iters left: 5 (65 enodes) 51.615 * * [simplify]: iters left: 4 (123 enodes) 51.649 * * [simplify]: iters left: 3 (361 enodes) 51.788 * * [simplify]: Extracting #0: cost 1 inf + 0 51.788 * * [simplify]: Extracting #1: cost 37 inf + 0 51.789 * * [simplify]: Extracting #2: cost 213 inf + 72 51.792 * * [simplify]: Extracting #3: cost 350 inf + 1716 51.799 * * [simplify]: Extracting #4: cost 221 inf + 30028 51.811 * * [simplify]: Extracting #5: cost 33 inf + 78046 51.828 * * [simplify]: Extracting #6: cost 1 inf + 88785 51.852 * * [simplify]: Extracting #7: cost 0 inf + 88926 51.870 * * [simplify]: Extracting #8: cost 0 inf + 88841 51.897 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 51.897 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 51.897 * * * * [progress]: [ 179 / 188 ] simplifiying candidate # 51.897 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 51.898 * * [simplify]: iters left: 6 (16 enodes) 51.907 * * [simplify]: iters left: 5 (67 enodes) 51.932 * * [simplify]: iters left: 4 (134 enodes) 51.993 * * [simplify]: iters left: 3 (407 enodes) 52.235 * * [simplify]: Extracting #0: cost 1 inf + 0 52.235 * * [simplify]: Extracting #1: cost 39 inf + 0 52.236 * * [simplify]: Extracting #2: cost 241 inf + 72 52.239 * * [simplify]: Extracting #3: cost 449 inf + 888 52.251 * * [simplify]: Extracting #4: cost 283 inf + 39678 52.285 * * [simplify]: Extracting #5: cost 24 inf + 116942 52.307 * * [simplify]: Extracting #6: cost 0 inf + 121984 52.343 * * [simplify]: Extracting #7: cost 0 inf + 121983 52.366 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 52.366 * [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))))))))) 52.366 * * * * [progress]: [ 180 / 188 ] simplifiying candidate # 52.366 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 52.366 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 52.366 * * * * [progress]: [ 181 / 188 ] simplifiying candidate # 52.366 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 52.366 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 52.366 * * * * [progress]: [ 182 / 188 ] simplifiying candidate # 52.367 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 52.367 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 52.367 * * * * [progress]: [ 183 / 188 ] simplifiying candidate # 52.367 * [simplify]: Simplifying (* 2 (* n PI)) 52.367 * * [simplify]: iters left: 4 (5 enodes) 52.369 * * [simplify]: iters left: 3 (19 enodes) 52.372 * * [simplify]: iters left: 2 (27 enodes) 52.376 * * [simplify]: iters left: 1 (32 enodes) 52.380 * * [simplify]: Extracting #0: cost 1 inf + 0 52.380 * * [simplify]: Extracting #1: cost 8 inf + 0 52.380 * * [simplify]: Extracting #2: cost 7 inf + 45 52.380 * * [simplify]: Extracting #3: cost 0 inf + 421 52.381 * [simplify]: Simplified to (* (* PI n) 2) 52.381 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 52.381 * * * * [progress]: [ 184 / 188 ] simplifiying candidate # 52.381 * [simplify]: Simplifying (* 2 (* n PI)) 52.381 * * [simplify]: iters left: 4 (5 enodes) 52.382 * * [simplify]: iters left: 3 (19 enodes) 52.386 * * [simplify]: iters left: 2 (27 enodes) 52.390 * * [simplify]: iters left: 1 (32 enodes) 52.395 * * [simplify]: Extracting #0: cost 1 inf + 0 52.395 * * [simplify]: Extracting #1: cost 8 inf + 0 52.395 * * [simplify]: Extracting #2: cost 7 inf + 45 52.395 * * [simplify]: Extracting #3: cost 0 inf + 421 52.395 * [simplify]: Simplified to (* (* PI n) 2) 52.395 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 52.395 * * * * [progress]: [ 185 / 188 ] simplifiying candidate # 52.395 * [simplify]: Simplifying (* 2 (* n PI)) 52.395 * * [simplify]: iters left: 4 (5 enodes) 52.397 * * [simplify]: iters left: 3 (19 enodes) 52.400 * * [simplify]: iters left: 2 (27 enodes) 52.404 * * [simplify]: iters left: 1 (32 enodes) 52.408 * * [simplify]: Extracting #0: cost 1 inf + 0 52.408 * * [simplify]: Extracting #1: cost 8 inf + 0 52.408 * * [simplify]: Extracting #2: cost 7 inf + 45 52.409 * * [simplify]: Extracting #3: cost 0 inf + 421 52.409 * [simplify]: Simplified to (* (* PI n) 2) 52.409 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 52.409 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 52.409 * [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))))))))))))) 52.409 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 52.409 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 52.409 * [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)))))))) 52.409 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 52.410 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 52.410 * [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)))))))))))) 52.410 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 52.410 * * * [progress]: adding candidates to table 54.429 * * [progress]: iteration 3 / 4 54.429 * * * [progress]: picking best candidate 54.469 * * * * [pick]: Picked # 54.469 * * * [progress]: localizing error 54.501 * * * [progress]: generating rewritten candidates 54.501 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 54.532 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 54.560 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 54.612 * * * [progress]: generating series expansions 54.612 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 54.613 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 54.613 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 54.613 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 54.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 54.613 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 54.613 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 54.614 * [taylor]: Taking taylor expansion of 1/2 in k 54.614 * [backup-simplify]: Simplify 1/2 into 1/2 54.614 * [taylor]: Taking taylor expansion of (- 1 k) in k 54.614 * [taylor]: Taking taylor expansion of 1 in k 54.614 * [backup-simplify]: Simplify 1 into 1 54.614 * [taylor]: Taking taylor expansion of k in k 54.614 * [backup-simplify]: Simplify 0 into 0 54.614 * [backup-simplify]: Simplify 1 into 1 54.614 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 54.614 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 54.614 * [taylor]: Taking taylor expansion of 2 in k 54.614 * [backup-simplify]: Simplify 2 into 2 54.614 * [taylor]: Taking taylor expansion of (* n PI) in k 54.614 * [taylor]: Taking taylor expansion of n in k 54.614 * [backup-simplify]: Simplify n into n 54.614 * [taylor]: Taking taylor expansion of PI in k 54.614 * [backup-simplify]: Simplify PI into PI 54.614 * [backup-simplify]: Simplify (* n PI) into (* n PI) 54.614 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 54.614 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 54.615 * [backup-simplify]: Simplify (- 0) into 0 54.615 * [backup-simplify]: Simplify (+ 1 0) into 1 54.615 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.616 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 54.616 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 54.616 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 54.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 54.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 54.616 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 54.616 * [taylor]: Taking taylor expansion of 1/2 in n 54.616 * [backup-simplify]: Simplify 1/2 into 1/2 54.616 * [taylor]: Taking taylor expansion of (- 1 k) in n 54.616 * [taylor]: Taking taylor expansion of 1 in n 54.616 * [backup-simplify]: Simplify 1 into 1 54.616 * [taylor]: Taking taylor expansion of k in n 54.616 * [backup-simplify]: Simplify k into k 54.616 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.616 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.616 * [taylor]: Taking taylor expansion of 2 in n 54.616 * [backup-simplify]: Simplify 2 into 2 54.616 * [taylor]: Taking taylor expansion of (* n PI) in n 54.616 * [taylor]: Taking taylor expansion of n in n 54.616 * [backup-simplify]: Simplify 0 into 0 54.616 * [backup-simplify]: Simplify 1 into 1 54.616 * [taylor]: Taking taylor expansion of PI in n 54.616 * [backup-simplify]: Simplify PI into PI 54.617 * [backup-simplify]: Simplify (* 0 PI) into 0 54.617 * [backup-simplify]: Simplify (* 2 0) into 0 54.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.620 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.621 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.621 * [backup-simplify]: Simplify (- k) into (- k) 54.621 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 54.621 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 54.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.624 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 54.625 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 54.625 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 54.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 54.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 54.625 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 54.625 * [taylor]: Taking taylor expansion of 1/2 in n 54.625 * [backup-simplify]: Simplify 1/2 into 1/2 54.625 * [taylor]: Taking taylor expansion of (- 1 k) in n 54.625 * [taylor]: Taking taylor expansion of 1 in n 54.625 * [backup-simplify]: Simplify 1 into 1 54.625 * [taylor]: Taking taylor expansion of k in n 54.625 * [backup-simplify]: Simplify k into k 54.625 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.625 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.625 * [taylor]: Taking taylor expansion of 2 in n 54.625 * [backup-simplify]: Simplify 2 into 2 54.625 * [taylor]: Taking taylor expansion of (* n PI) in n 54.625 * [taylor]: Taking taylor expansion of n in n 54.625 * [backup-simplify]: Simplify 0 into 0 54.625 * [backup-simplify]: Simplify 1 into 1 54.625 * [taylor]: Taking taylor expansion of PI in n 54.625 * [backup-simplify]: Simplify PI into PI 54.626 * [backup-simplify]: Simplify (* 0 PI) into 0 54.626 * [backup-simplify]: Simplify (* 2 0) into 0 54.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.629 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.630 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.630 * [backup-simplify]: Simplify (- k) into (- k) 54.630 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 54.630 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 54.632 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.633 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 54.634 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 54.634 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 54.634 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 54.634 * [taylor]: Taking taylor expansion of 1/2 in k 54.634 * [backup-simplify]: Simplify 1/2 into 1/2 54.634 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 54.634 * [taylor]: Taking taylor expansion of (- 1 k) in k 54.634 * [taylor]: Taking taylor expansion of 1 in k 54.634 * [backup-simplify]: Simplify 1 into 1 54.634 * [taylor]: Taking taylor expansion of k in k 54.634 * [backup-simplify]: Simplify 0 into 0 54.634 * [backup-simplify]: Simplify 1 into 1 54.634 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 54.634 * [taylor]: Taking taylor expansion of (log n) in k 54.634 * [taylor]: Taking taylor expansion of n in k 54.634 * [backup-simplify]: Simplify n into n 54.634 * [backup-simplify]: Simplify (log n) into (log n) 54.634 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 54.634 * [taylor]: Taking taylor expansion of (* 2 PI) in k 54.634 * [taylor]: Taking taylor expansion of 2 in k 54.634 * [backup-simplify]: Simplify 2 into 2 54.634 * [taylor]: Taking taylor expansion of PI in k 54.634 * [backup-simplify]: Simplify PI into PI 54.635 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.636 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.636 * [backup-simplify]: Simplify (- 0) into 0 54.637 * [backup-simplify]: Simplify (+ 1 0) into 1 54.638 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.639 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 54.640 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 54.641 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 54.642 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 54.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 54.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 54.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 54.646 * [backup-simplify]: Simplify (- 0) into 0 54.646 * [backup-simplify]: Simplify (+ 0 0) into 0 54.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 54.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.649 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 54.651 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.651 * [taylor]: Taking taylor expansion of 0 in k 54.651 * [backup-simplify]: Simplify 0 into 0 54.651 * [backup-simplify]: Simplify 0 into 0 54.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 54.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 54.654 * [backup-simplify]: Simplify (+ 0 0) into 0 54.655 * [backup-simplify]: Simplify (- 1) into -1 54.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 54.656 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 54.657 * [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))))) 54.659 * [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))))))) 54.660 * [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))))))) 54.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 54.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 54.663 * [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 54.664 * [backup-simplify]: Simplify (- 0) into 0 54.664 * [backup-simplify]: Simplify (+ 0 0) into 0 54.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 54.665 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.666 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 54.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.668 * [taylor]: Taking taylor expansion of 0 in k 54.668 * [backup-simplify]: Simplify 0 into 0 54.668 * [backup-simplify]: Simplify 0 into 0 54.668 * [backup-simplify]: Simplify 0 into 0 54.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 54.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 54.671 * [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 54.671 * [backup-simplify]: Simplify (+ 0 0) into 0 54.672 * [backup-simplify]: Simplify (- 0) into 0 54.672 * [backup-simplify]: Simplify (+ 0 0) into 0 54.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 54.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 54.677 * [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))))) 54.680 * [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))))) 54.685 * [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))))) 54.686 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 54.686 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 54.686 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 54.686 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 54.686 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 54.686 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 54.686 * [taylor]: Taking taylor expansion of 1/2 in k 54.686 * [backup-simplify]: Simplify 1/2 into 1/2 54.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 54.686 * [taylor]: Taking taylor expansion of 1 in k 54.686 * [backup-simplify]: Simplify 1 into 1 54.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.686 * [taylor]: Taking taylor expansion of k in k 54.686 * [backup-simplify]: Simplify 0 into 0 54.686 * [backup-simplify]: Simplify 1 into 1 54.686 * [backup-simplify]: Simplify (/ 1 1) into 1 54.686 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 54.686 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 54.686 * [taylor]: Taking taylor expansion of 2 in k 54.686 * [backup-simplify]: Simplify 2 into 2 54.686 * [taylor]: Taking taylor expansion of (/ PI n) in k 54.686 * [taylor]: Taking taylor expansion of PI in k 54.686 * [backup-simplify]: Simplify PI into PI 54.687 * [taylor]: Taking taylor expansion of n in k 54.687 * [backup-simplify]: Simplify n into n 54.687 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 54.687 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 54.687 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 54.687 * [backup-simplify]: Simplify (- 1) into -1 54.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 54.687 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 54.688 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 54.688 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 54.688 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 54.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 54.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 54.688 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 54.688 * [taylor]: Taking taylor expansion of 1/2 in n 54.688 * [backup-simplify]: Simplify 1/2 into 1/2 54.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 54.688 * [taylor]: Taking taylor expansion of 1 in n 54.688 * [backup-simplify]: Simplify 1 into 1 54.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.688 * [taylor]: Taking taylor expansion of k in n 54.688 * [backup-simplify]: Simplify k into k 54.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 54.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.688 * [taylor]: Taking taylor expansion of 2 in n 54.688 * [backup-simplify]: Simplify 2 into 2 54.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.688 * [taylor]: Taking taylor expansion of PI in n 54.688 * [backup-simplify]: Simplify PI into PI 54.688 * [taylor]: Taking taylor expansion of n in n 54.688 * [backup-simplify]: Simplify 0 into 0 54.688 * [backup-simplify]: Simplify 1 into 1 54.688 * [backup-simplify]: Simplify (/ PI 1) into PI 54.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.689 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 54.689 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 54.689 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 54.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.695 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 54.696 * [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))))) 54.696 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 54.696 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 54.696 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 54.696 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 54.696 * [taylor]: Taking taylor expansion of 1/2 in n 54.696 * [backup-simplify]: Simplify 1/2 into 1/2 54.696 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 54.696 * [taylor]: Taking taylor expansion of 1 in n 54.696 * [backup-simplify]: Simplify 1 into 1 54.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.696 * [taylor]: Taking taylor expansion of k in n 54.696 * [backup-simplify]: Simplify k into k 54.696 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.696 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 54.696 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.696 * [taylor]: Taking taylor expansion of 2 in n 54.697 * [backup-simplify]: Simplify 2 into 2 54.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.697 * [taylor]: Taking taylor expansion of PI in n 54.697 * [backup-simplify]: Simplify PI into PI 54.697 * [taylor]: Taking taylor expansion of n in n 54.697 * [backup-simplify]: Simplify 0 into 0 54.697 * [backup-simplify]: Simplify 1 into 1 54.697 * [backup-simplify]: Simplify (/ PI 1) into PI 54.698 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.699 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 54.699 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 54.699 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 54.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.701 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 54.702 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 54.702 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 54.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 54.702 * [taylor]: Taking taylor expansion of 1/2 in k 54.702 * [backup-simplify]: Simplify 1/2 into 1/2 54.702 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 54.703 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 54.703 * [taylor]: Taking taylor expansion of 1 in k 54.703 * [backup-simplify]: Simplify 1 into 1 54.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.703 * [taylor]: Taking taylor expansion of k in k 54.703 * [backup-simplify]: Simplify 0 into 0 54.703 * [backup-simplify]: Simplify 1 into 1 54.703 * [backup-simplify]: Simplify (/ 1 1) into 1 54.703 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 54.703 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 54.703 * [taylor]: Taking taylor expansion of (* 2 PI) in k 54.703 * [taylor]: Taking taylor expansion of 2 in k 54.703 * [backup-simplify]: Simplify 2 into 2 54.703 * [taylor]: Taking taylor expansion of PI in k 54.703 * [backup-simplify]: Simplify PI into PI 54.704 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.705 * [taylor]: Taking taylor expansion of (log n) in k 54.705 * [taylor]: Taking taylor expansion of n in k 54.705 * [backup-simplify]: Simplify n into n 54.705 * [backup-simplify]: Simplify (log n) into (log n) 54.705 * [backup-simplify]: Simplify (- 1) into -1 54.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 54.706 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 54.707 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 54.708 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 54.709 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 54.710 * [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))))) 54.711 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 54.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 54.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 54.715 * [backup-simplify]: Simplify (- 0) into 0 54.715 * [backup-simplify]: Simplify (+ 0 0) into 0 54.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 54.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.719 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 54.721 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.721 * [taylor]: Taking taylor expansion of 0 in k 54.721 * [backup-simplify]: Simplify 0 into 0 54.721 * [backup-simplify]: Simplify 0 into 0 54.721 * [backup-simplify]: Simplify 0 into 0 54.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 54.726 * [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 54.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 54.727 * [backup-simplify]: Simplify (- 0) into 0 54.727 * [backup-simplify]: Simplify (+ 0 0) into 0 54.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 54.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.731 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 54.733 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.733 * [taylor]: Taking taylor expansion of 0 in k 54.733 * [backup-simplify]: Simplify 0 into 0 54.733 * [backup-simplify]: Simplify 0 into 0 54.733 * [backup-simplify]: Simplify 0 into 0 54.733 * [backup-simplify]: Simplify 0 into 0 54.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.741 * [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 54.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 54.742 * [backup-simplify]: Simplify (- 0) into 0 54.742 * [backup-simplify]: Simplify (+ 0 0) into 0 54.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 54.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 54.747 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 54.750 * [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 54.750 * [taylor]: Taking taylor expansion of 0 in k 54.750 * [backup-simplify]: Simplify 0 into 0 54.750 * [backup-simplify]: Simplify 0 into 0 54.751 * [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)))))) 54.752 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 54.752 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 54.752 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 54.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 54.752 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 54.752 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 54.752 * [taylor]: Taking taylor expansion of 1/2 in k 54.752 * [backup-simplify]: Simplify 1/2 into 1/2 54.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 54.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.752 * [taylor]: Taking taylor expansion of k in k 54.752 * [backup-simplify]: Simplify 0 into 0 54.752 * [backup-simplify]: Simplify 1 into 1 54.753 * [backup-simplify]: Simplify (/ 1 1) into 1 54.753 * [taylor]: Taking taylor expansion of 1 in k 54.753 * [backup-simplify]: Simplify 1 into 1 54.753 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 54.753 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 54.753 * [taylor]: Taking taylor expansion of -2 in k 54.753 * [backup-simplify]: Simplify -2 into -2 54.753 * [taylor]: Taking taylor expansion of (/ PI n) in k 54.753 * [taylor]: Taking taylor expansion of PI in k 54.753 * [backup-simplify]: Simplify PI into PI 54.753 * [taylor]: Taking taylor expansion of n in k 54.753 * [backup-simplify]: Simplify n into n 54.753 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 54.753 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 54.753 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 54.754 * [backup-simplify]: Simplify (+ 1 0) into 1 54.754 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.755 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 54.755 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 54.755 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 54.755 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 54.755 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 54.755 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 54.755 * [taylor]: Taking taylor expansion of 1/2 in n 54.755 * [backup-simplify]: Simplify 1/2 into 1/2 54.755 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.755 * [taylor]: Taking taylor expansion of k in n 54.755 * [backup-simplify]: Simplify k into k 54.755 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.755 * [taylor]: Taking taylor expansion of 1 in n 54.755 * [backup-simplify]: Simplify 1 into 1 54.755 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.755 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.755 * [taylor]: Taking taylor expansion of -2 in n 54.755 * [backup-simplify]: Simplify -2 into -2 54.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.755 * [taylor]: Taking taylor expansion of PI in n 54.755 * [backup-simplify]: Simplify PI into PI 54.755 * [taylor]: Taking taylor expansion of n in n 54.755 * [backup-simplify]: Simplify 0 into 0 54.755 * [backup-simplify]: Simplify 1 into 1 54.756 * [backup-simplify]: Simplify (/ PI 1) into PI 54.756 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.757 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.757 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.758 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 54.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.760 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.761 * [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))))) 54.761 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 54.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 54.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 54.761 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 54.761 * [taylor]: Taking taylor expansion of 1/2 in n 54.761 * [backup-simplify]: Simplify 1/2 into 1/2 54.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 54.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.762 * [taylor]: Taking taylor expansion of k in n 54.762 * [backup-simplify]: Simplify k into k 54.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.762 * [taylor]: Taking taylor expansion of 1 in n 54.762 * [backup-simplify]: Simplify 1 into 1 54.762 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 54.762 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.762 * [taylor]: Taking taylor expansion of -2 in n 54.762 * [backup-simplify]: Simplify -2 into -2 54.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.762 * [taylor]: Taking taylor expansion of PI in n 54.762 * [backup-simplify]: Simplify PI into PI 54.762 * [taylor]: Taking taylor expansion of n in n 54.762 * [backup-simplify]: Simplify 0 into 0 54.762 * [backup-simplify]: Simplify 1 into 1 54.762 * [backup-simplify]: Simplify (/ PI 1) into PI 54.763 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.764 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.764 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 54.764 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 54.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.767 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 54.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 54.768 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 54.768 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 54.768 * [taylor]: Taking taylor expansion of 1/2 in k 54.768 * [backup-simplify]: Simplify 1/2 into 1/2 54.768 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 54.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 54.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.768 * [taylor]: Taking taylor expansion of k in k 54.768 * [backup-simplify]: Simplify 0 into 0 54.768 * [backup-simplify]: Simplify 1 into 1 54.769 * [backup-simplify]: Simplify (/ 1 1) into 1 54.769 * [taylor]: Taking taylor expansion of 1 in k 54.769 * [backup-simplify]: Simplify 1 into 1 54.769 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 54.769 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 54.769 * [taylor]: Taking taylor expansion of (* -2 PI) in k 54.769 * [taylor]: Taking taylor expansion of -2 in k 54.769 * [backup-simplify]: Simplify -2 into -2 54.769 * [taylor]: Taking taylor expansion of PI in k 54.769 * [backup-simplify]: Simplify PI into PI 54.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.770 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 54.770 * [taylor]: Taking taylor expansion of (log n) in k 54.770 * [taylor]: Taking taylor expansion of n in k 54.770 * [backup-simplify]: Simplify n into n 54.771 * [backup-simplify]: Simplify (log n) into (log n) 54.771 * [backup-simplify]: Simplify (+ 1 0) into 1 54.771 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 54.772 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 54.773 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 54.774 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 54.775 * [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))))) 54.777 * [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))))) 54.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.778 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 54.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 54.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 54.781 * [backup-simplify]: Simplify (+ 0 0) into 0 54.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 54.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.784 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 54.786 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 54.786 * [taylor]: Taking taylor expansion of 0 in k 54.786 * [backup-simplify]: Simplify 0 into 0 54.786 * [backup-simplify]: Simplify 0 into 0 54.786 * [backup-simplify]: Simplify 0 into 0 54.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.788 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 54.791 * [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 54.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 54.792 * [backup-simplify]: Simplify (+ 0 0) into 0 54.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 54.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.796 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 54.798 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 54.798 * [taylor]: Taking taylor expansion of 0 in k 54.798 * [backup-simplify]: Simplify 0 into 0 54.798 * [backup-simplify]: Simplify 0 into 0 54.798 * [backup-simplify]: Simplify 0 into 0 54.798 * [backup-simplify]: Simplify 0 into 0 54.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.800 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.806 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 54.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 54.807 * [backup-simplify]: Simplify (+ 0 0) into 0 54.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 54.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 54.811 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 54.814 * [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 54.814 * [taylor]: Taking taylor expansion of 0 in k 54.814 * [backup-simplify]: Simplify 0 into 0 54.814 * [backup-simplify]: Simplify 0 into 0 54.816 * [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)))))) 54.816 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 54.817 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 54.817 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 54.817 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.817 * [taylor]: Taking taylor expansion of 2 in n 54.817 * [backup-simplify]: Simplify 2 into 2 54.817 * [taylor]: Taking taylor expansion of (* n PI) in n 54.817 * [taylor]: Taking taylor expansion of n in n 54.817 * [backup-simplify]: Simplify 0 into 0 54.817 * [backup-simplify]: Simplify 1 into 1 54.817 * [taylor]: Taking taylor expansion of PI in n 54.817 * [backup-simplify]: Simplify PI into PI 54.817 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.817 * [taylor]: Taking taylor expansion of 2 in n 54.817 * [backup-simplify]: Simplify 2 into 2 54.817 * [taylor]: Taking taylor expansion of (* n PI) in n 54.817 * [taylor]: Taking taylor expansion of n in n 54.817 * [backup-simplify]: Simplify 0 into 0 54.817 * [backup-simplify]: Simplify 1 into 1 54.817 * [taylor]: Taking taylor expansion of PI in n 54.817 * [backup-simplify]: Simplify PI into PI 54.818 * [backup-simplify]: Simplify (* 0 PI) into 0 54.818 * [backup-simplify]: Simplify (* 2 0) into 0 54.818 * [backup-simplify]: Simplify 0 into 0 54.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.821 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 54.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 54.824 * [backup-simplify]: Simplify 0 into 0 54.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 54.826 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 54.826 * [backup-simplify]: Simplify 0 into 0 54.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 54.828 * [backup-simplify]: Simplify 0 into 0 54.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 54.832 * [backup-simplify]: Simplify 0 into 0 54.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 54.837 * [backup-simplify]: Simplify 0 into 0 54.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 54.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 54.841 * [backup-simplify]: Simplify 0 into 0 54.841 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 54.842 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 54.842 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 54.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.842 * [taylor]: Taking taylor expansion of 2 in n 54.842 * [backup-simplify]: Simplify 2 into 2 54.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.842 * [taylor]: Taking taylor expansion of PI in n 54.842 * [backup-simplify]: Simplify PI into PI 54.842 * [taylor]: Taking taylor expansion of n in n 54.842 * [backup-simplify]: Simplify 0 into 0 54.842 * [backup-simplify]: Simplify 1 into 1 54.843 * [backup-simplify]: Simplify (/ PI 1) into PI 54.843 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 54.843 * [taylor]: Taking taylor expansion of 2 in n 54.843 * [backup-simplify]: Simplify 2 into 2 54.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.843 * [taylor]: Taking taylor expansion of PI in n 54.843 * [backup-simplify]: Simplify PI into PI 54.843 * [taylor]: Taking taylor expansion of n in n 54.843 * [backup-simplify]: Simplify 0 into 0 54.843 * [backup-simplify]: Simplify 1 into 1 54.843 * [backup-simplify]: Simplify (/ PI 1) into PI 54.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 54.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.846 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 54.846 * [backup-simplify]: Simplify 0 into 0 54.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 54.848 * [backup-simplify]: Simplify 0 into 0 54.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.850 * [backup-simplify]: Simplify 0 into 0 54.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.853 * [backup-simplify]: Simplify 0 into 0 54.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.855 * [backup-simplify]: Simplify 0 into 0 54.856 * [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 54.858 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.858 * [backup-simplify]: Simplify 0 into 0 54.858 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 54.859 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 54.859 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 54.859 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.859 * [taylor]: Taking taylor expansion of -2 in n 54.859 * [backup-simplify]: Simplify -2 into -2 54.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.859 * [taylor]: Taking taylor expansion of PI in n 54.859 * [backup-simplify]: Simplify PI into PI 54.859 * [taylor]: Taking taylor expansion of n in n 54.859 * [backup-simplify]: Simplify 0 into 0 54.859 * [backup-simplify]: Simplify 1 into 1 54.860 * [backup-simplify]: Simplify (/ PI 1) into PI 54.860 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 54.860 * [taylor]: Taking taylor expansion of -2 in n 54.860 * [backup-simplify]: Simplify -2 into -2 54.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 54.860 * [taylor]: Taking taylor expansion of PI in n 54.860 * [backup-simplify]: Simplify PI into PI 54.860 * [taylor]: Taking taylor expansion of n in n 54.860 * [backup-simplify]: Simplify 0 into 0 54.860 * [backup-simplify]: Simplify 1 into 1 54.860 * [backup-simplify]: Simplify (/ PI 1) into PI 54.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.861 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 54.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 54.863 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 54.863 * [backup-simplify]: Simplify 0 into 0 54.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.865 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 54.865 * [backup-simplify]: Simplify 0 into 0 54.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.867 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.867 * [backup-simplify]: Simplify 0 into 0 54.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.870 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 54.870 * [backup-simplify]: Simplify 0 into 0 54.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.872 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 54.872 * [backup-simplify]: Simplify 0 into 0 54.873 * [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 54.875 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 54.875 * [backup-simplify]: Simplify 0 into 0 54.876 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 54.876 * * * * [progress]: [ 3 / 3 ] generating series at (2) 54.876 * [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))) 54.877 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 54.877 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 54.877 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 54.877 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 54.877 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 54.877 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 54.877 * [taylor]: Taking taylor expansion of 1/2 in n 54.877 * [backup-simplify]: Simplify 1/2 into 1/2 54.877 * [taylor]: Taking taylor expansion of (- 1 k) in n 54.877 * [taylor]: Taking taylor expansion of 1 in n 54.877 * [backup-simplify]: Simplify 1 into 1 54.877 * [taylor]: Taking taylor expansion of k in n 54.877 * [backup-simplify]: Simplify k into k 54.877 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.877 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.877 * [taylor]: Taking taylor expansion of 2 in n 54.877 * [backup-simplify]: Simplify 2 into 2 54.877 * [taylor]: Taking taylor expansion of (* n PI) in n 54.877 * [taylor]: Taking taylor expansion of n in n 54.877 * [backup-simplify]: Simplify 0 into 0 54.877 * [backup-simplify]: Simplify 1 into 1 54.877 * [taylor]: Taking taylor expansion of PI in n 54.877 * [backup-simplify]: Simplify PI into PI 54.878 * [backup-simplify]: Simplify (* 0 PI) into 0 54.878 * [backup-simplify]: Simplify (* 2 0) into 0 54.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.881 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.882 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.882 * [backup-simplify]: Simplify (- k) into (- k) 54.882 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 54.882 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 54.884 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.885 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 54.886 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 54.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 54.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 54.886 * [taylor]: Taking taylor expansion of k in n 54.886 * [backup-simplify]: Simplify k into k 54.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 54.886 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 54.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 54.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 54.886 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 54.886 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 54.886 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 54.886 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 54.886 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 54.886 * [taylor]: Taking taylor expansion of 1/2 in k 54.886 * [backup-simplify]: Simplify 1/2 into 1/2 54.886 * [taylor]: Taking taylor expansion of (- 1 k) in k 54.886 * [taylor]: Taking taylor expansion of 1 in k 54.886 * [backup-simplify]: Simplify 1 into 1 54.886 * [taylor]: Taking taylor expansion of k in k 54.887 * [backup-simplify]: Simplify 0 into 0 54.887 * [backup-simplify]: Simplify 1 into 1 54.887 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 54.887 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 54.887 * [taylor]: Taking taylor expansion of 2 in k 54.887 * [backup-simplify]: Simplify 2 into 2 54.887 * [taylor]: Taking taylor expansion of (* n PI) in k 54.887 * [taylor]: Taking taylor expansion of n in k 54.887 * [backup-simplify]: Simplify n into n 54.887 * [taylor]: Taking taylor expansion of PI in k 54.887 * [backup-simplify]: Simplify PI into PI 54.887 * [backup-simplify]: Simplify (* n PI) into (* n PI) 54.887 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 54.887 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 54.887 * [backup-simplify]: Simplify (- 0) into 0 54.887 * [backup-simplify]: Simplify (+ 1 0) into 1 54.888 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.888 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 54.888 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 54.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 54.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.888 * [taylor]: Taking taylor expansion of k in k 54.888 * [backup-simplify]: Simplify 0 into 0 54.888 * [backup-simplify]: Simplify 1 into 1 54.888 * [backup-simplify]: Simplify (/ 1 1) into 1 54.888 * [backup-simplify]: Simplify (sqrt 0) into 0 54.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 54.889 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 54.889 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 54.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 54.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 54.889 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 54.889 * [taylor]: Taking taylor expansion of 1/2 in k 54.889 * [backup-simplify]: Simplify 1/2 into 1/2 54.889 * [taylor]: Taking taylor expansion of (- 1 k) in k 54.890 * [taylor]: Taking taylor expansion of 1 in k 54.890 * [backup-simplify]: Simplify 1 into 1 54.890 * [taylor]: Taking taylor expansion of k in k 54.890 * [backup-simplify]: Simplify 0 into 0 54.890 * [backup-simplify]: Simplify 1 into 1 54.890 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 54.890 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 54.890 * [taylor]: Taking taylor expansion of 2 in k 54.890 * [backup-simplify]: Simplify 2 into 2 54.890 * [taylor]: Taking taylor expansion of (* n PI) in k 54.890 * [taylor]: Taking taylor expansion of n in k 54.890 * [backup-simplify]: Simplify n into n 54.890 * [taylor]: Taking taylor expansion of PI in k 54.890 * [backup-simplify]: Simplify PI into PI 54.890 * [backup-simplify]: Simplify (* n PI) into (* n PI) 54.890 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 54.890 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 54.890 * [backup-simplify]: Simplify (- 0) into 0 54.890 * [backup-simplify]: Simplify (+ 1 0) into 1 54.891 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 54.891 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 54.891 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 54.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 54.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k 54.891 * [taylor]: Taking taylor expansion of k in k 54.891 * [backup-simplify]: Simplify 0 into 0 54.891 * [backup-simplify]: Simplify 1 into 1 54.891 * [backup-simplify]: Simplify (/ 1 1) into 1 54.891 * [backup-simplify]: Simplify (sqrt 0) into 0 54.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 54.892 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 54.892 * [taylor]: Taking taylor expansion of 0 in n 54.892 * [backup-simplify]: Simplify 0 into 0 54.892 * [backup-simplify]: Simplify 0 into 0 54.893 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 54.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 54.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 54.894 * [backup-simplify]: Simplify (- 1) into -1 54.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 54.895 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 54.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 54.895 * [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))))) 54.895 * [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))))) 54.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 54.895 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 54.895 * [taylor]: Taking taylor expansion of +nan.0 in n 54.895 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.895 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 54.895 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.895 * [taylor]: Taking taylor expansion of 2 in n 54.895 * [backup-simplify]: Simplify 2 into 2 54.896 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.896 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.896 * [taylor]: Taking taylor expansion of (* n PI) in n 54.896 * [taylor]: Taking taylor expansion of n in n 54.896 * [backup-simplify]: Simplify 0 into 0 54.896 * [backup-simplify]: Simplify 1 into 1 54.896 * [taylor]: Taking taylor expansion of PI in n 54.896 * [backup-simplify]: Simplify PI into PI 54.896 * [backup-simplify]: Simplify (* 0 PI) into 0 54.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.898 * [backup-simplify]: Simplify (sqrt 0) into 0 54.898 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.899 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 54.899 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.899 * [backup-simplify]: Simplify (- 0) into 0 54.899 * [backup-simplify]: Simplify 0 into 0 54.899 * [backup-simplify]: Simplify 0 into 0 54.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 54.901 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 54.902 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 54.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 54.903 * [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 54.904 * [backup-simplify]: Simplify (- 0) into 0 54.904 * [backup-simplify]: Simplify (+ 0 0) into 0 54.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 54.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 54.906 * [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))) 54.906 * [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))))))) 54.906 * [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 54.906 * [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 54.906 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 54.906 * [taylor]: Taking taylor expansion of +nan.0 in n 54.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.906 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 54.906 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 54.906 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.906 * [taylor]: Taking taylor expansion of 2 in n 54.906 * [backup-simplify]: Simplify 2 into 2 54.906 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.907 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.907 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.907 * [taylor]: Taking taylor expansion of 2 in n 54.907 * [backup-simplify]: Simplify 2 into 2 54.907 * [taylor]: Taking taylor expansion of (* n PI) in n 54.907 * [taylor]: Taking taylor expansion of n in n 54.907 * [backup-simplify]: Simplify 0 into 0 54.907 * [backup-simplify]: Simplify 1 into 1 54.907 * [taylor]: Taking taylor expansion of PI in n 54.907 * [backup-simplify]: Simplify PI into PI 54.907 * [backup-simplify]: Simplify (* 0 PI) into 0 54.907 * [backup-simplify]: Simplify (* 2 0) into 0 54.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.909 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.910 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.910 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.910 * [taylor]: Taking taylor expansion of (* n PI) in n 54.910 * [taylor]: Taking taylor expansion of n in n 54.910 * [backup-simplify]: Simplify 0 into 0 54.910 * [backup-simplify]: Simplify 1 into 1 54.910 * [taylor]: Taking taylor expansion of PI in n 54.910 * [backup-simplify]: Simplify PI into PI 54.910 * [backup-simplify]: Simplify (* 0 PI) into 0 54.911 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.911 * [backup-simplify]: Simplify (sqrt 0) into 0 54.912 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 54.912 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 54.912 * [taylor]: Taking taylor expansion of +nan.0 in n 54.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.912 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 54.912 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.912 * [taylor]: Taking taylor expansion of 2 in n 54.912 * [backup-simplify]: Simplify 2 into 2 54.912 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.913 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.913 * [taylor]: Taking taylor expansion of (* n PI) in n 54.913 * [taylor]: Taking taylor expansion of n in n 54.913 * [backup-simplify]: Simplify 0 into 0 54.913 * [backup-simplify]: Simplify 1 into 1 54.913 * [taylor]: Taking taylor expansion of PI in n 54.913 * [backup-simplify]: Simplify PI into PI 54.913 * [backup-simplify]: Simplify (* 0 PI) into 0 54.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.915 * [backup-simplify]: Simplify (sqrt 0) into 0 54.916 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.919 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 54.920 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 54.921 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.921 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 54.922 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.922 * [backup-simplify]: Simplify (- 0) into 0 54.923 * [backup-simplify]: Simplify (+ 0 0) into 0 54.923 * [backup-simplify]: Simplify (- 0) into 0 54.923 * [backup-simplify]: Simplify 0 into 0 54.926 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 54.931 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 54.934 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 54.937 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 54.937 * [backup-simplify]: Simplify 0 into 0 54.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 54.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 54.943 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 54.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 54.947 * [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 54.947 * [backup-simplify]: Simplify (- 0) into 0 54.948 * [backup-simplify]: Simplify (+ 0 0) into 0 54.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 54.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 54.952 * [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))) 54.953 * [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))))))))) 54.953 * [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 54.953 * [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 54.953 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 54.953 * [taylor]: Taking taylor expansion of +nan.0 in n 54.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.954 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 54.954 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 54.954 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.954 * [taylor]: Taking taylor expansion of 2 in n 54.954 * [backup-simplify]: Simplify 2 into 2 54.954 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.954 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.954 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.954 * [taylor]: Taking taylor expansion of 2 in n 54.954 * [backup-simplify]: Simplify 2 into 2 54.954 * [taylor]: Taking taylor expansion of (* n PI) in n 54.954 * [taylor]: Taking taylor expansion of n in n 54.954 * [backup-simplify]: Simplify 0 into 0 54.954 * [backup-simplify]: Simplify 1 into 1 54.954 * [taylor]: Taking taylor expansion of PI in n 54.955 * [backup-simplify]: Simplify PI into PI 54.956 * [backup-simplify]: Simplify (* 0 PI) into 0 54.957 * [backup-simplify]: Simplify (* 2 0) into 0 54.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.959 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.959 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.959 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.959 * [taylor]: Taking taylor expansion of (* n PI) in n 54.959 * [taylor]: Taking taylor expansion of n in n 54.959 * [backup-simplify]: Simplify 0 into 0 54.959 * [backup-simplify]: Simplify 1 into 1 54.959 * [taylor]: Taking taylor expansion of PI in n 54.959 * [backup-simplify]: Simplify PI into PI 54.959 * [backup-simplify]: Simplify (* 0 PI) into 0 54.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.961 * [backup-simplify]: Simplify (sqrt 0) into 0 54.961 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.962 * [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 54.962 * [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 54.962 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 54.962 * [taylor]: Taking taylor expansion of +nan.0 in n 54.962 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.962 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 54.962 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.962 * [taylor]: Taking taylor expansion of 2 in n 54.962 * [backup-simplify]: Simplify 2 into 2 54.962 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.962 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.962 * [taylor]: Taking taylor expansion of (* n PI) in n 54.962 * [taylor]: Taking taylor expansion of n in n 54.962 * [backup-simplify]: Simplify 0 into 0 54.962 * [backup-simplify]: Simplify 1 into 1 54.962 * [taylor]: Taking taylor expansion of PI in n 54.962 * [backup-simplify]: Simplify PI into PI 54.963 * [backup-simplify]: Simplify (* 0 PI) into 0 54.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.964 * [backup-simplify]: Simplify (sqrt 0) into 0 54.965 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.965 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 54.965 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 54.965 * [taylor]: Taking taylor expansion of +nan.0 in n 54.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 54.965 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 54.965 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 54.965 * [taylor]: Taking taylor expansion of (sqrt 2) in n 54.965 * [taylor]: Taking taylor expansion of 2 in n 54.965 * [backup-simplify]: Simplify 2 into 2 54.965 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 54.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 54.965 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 54.965 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 54.965 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 54.965 * [taylor]: Taking taylor expansion of 2 in n 54.965 * [backup-simplify]: Simplify 2 into 2 54.965 * [taylor]: Taking taylor expansion of (* n PI) in n 54.965 * [taylor]: Taking taylor expansion of n in n 54.965 * [backup-simplify]: Simplify 0 into 0 54.966 * [backup-simplify]: Simplify 1 into 1 54.966 * [taylor]: Taking taylor expansion of PI in n 54.966 * [backup-simplify]: Simplify PI into PI 54.966 * [backup-simplify]: Simplify (* 0 PI) into 0 54.966 * [backup-simplify]: Simplify (* 2 0) into 0 54.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.968 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 54.968 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 54.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.969 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 54.969 * [taylor]: Taking taylor expansion of (* n PI) in n 54.969 * [taylor]: Taking taylor expansion of n in n 54.969 * [backup-simplify]: Simplify 0 into 0 54.969 * [backup-simplify]: Simplify 1 into 1 54.969 * [taylor]: Taking taylor expansion of PI in n 54.969 * [backup-simplify]: Simplify PI into PI 54.970 * [backup-simplify]: Simplify (* 0 PI) into 0 54.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 54.971 * [backup-simplify]: Simplify (sqrt 0) into 0 54.972 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 54.972 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.973 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 54.974 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 54.975 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.975 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 54.976 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.980 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 54.982 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 54.983 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 54.984 * [backup-simplify]: Simplify (* +nan.0 0) into 0 54.984 * [backup-simplify]: Simplify (- 0) into 0 54.984 * [backup-simplify]: Simplify (+ 0 0) into 0 54.985 * [backup-simplify]: Simplify (- 0) into 0 54.985 * [backup-simplify]: Simplify (+ 0 0) into 0 54.985 * [backup-simplify]: Simplify (- 0) into 0 54.985 * [backup-simplify]: Simplify 0 into 0 54.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 54.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 54.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 54.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 54.993 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 54.995 * [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)))))))) 55.000 * [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)))))))) 55.001 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 55.004 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 55.006 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 55.012 * [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)))))))))) 55.016 * [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))))))) 55.020 * [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))))))) 55.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.024 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 55.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 55.028 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 55.036 * [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)))) 55.041 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 55.044 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 55.058 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 55.060 * [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)) 55.060 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 55.060 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 55.060 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.060 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.060 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.060 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.060 * [taylor]: Taking taylor expansion of 1/2 in n 55.060 * [backup-simplify]: Simplify 1/2 into 1/2 55.060 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.060 * [taylor]: Taking taylor expansion of 1 in n 55.060 * [backup-simplify]: Simplify 1 into 1 55.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.060 * [taylor]: Taking taylor expansion of k in n 55.060 * [backup-simplify]: Simplify k into k 55.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.060 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.060 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.060 * [taylor]: Taking taylor expansion of 2 in n 55.060 * [backup-simplify]: Simplify 2 into 2 55.060 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.060 * [taylor]: Taking taylor expansion of PI in n 55.060 * [backup-simplify]: Simplify PI into PI 55.060 * [taylor]: Taking taylor expansion of n in n 55.060 * [backup-simplify]: Simplify 0 into 0 55.060 * [backup-simplify]: Simplify 1 into 1 55.061 * [backup-simplify]: Simplify (/ PI 1) into PI 55.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.062 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.062 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.062 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.063 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.064 * [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))))) 55.064 * [taylor]: Taking taylor expansion of (sqrt k) in n 55.064 * [taylor]: Taking taylor expansion of k in n 55.064 * [backup-simplify]: Simplify k into k 55.064 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 55.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 55.064 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 55.064 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 55.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 55.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 55.064 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 55.064 * [taylor]: Taking taylor expansion of 1/2 in k 55.064 * [backup-simplify]: Simplify 1/2 into 1/2 55.064 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.064 * [taylor]: Taking taylor expansion of 1 in k 55.064 * [backup-simplify]: Simplify 1 into 1 55.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.064 * [taylor]: Taking taylor expansion of k in k 55.064 * [backup-simplify]: Simplify 0 into 0 55.064 * [backup-simplify]: Simplify 1 into 1 55.065 * [backup-simplify]: Simplify (/ 1 1) into 1 55.065 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 55.065 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 55.065 * [taylor]: Taking taylor expansion of 2 in k 55.065 * [backup-simplify]: Simplify 2 into 2 55.065 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.065 * [taylor]: Taking taylor expansion of PI in k 55.065 * [backup-simplify]: Simplify PI into PI 55.065 * [taylor]: Taking taylor expansion of n in k 55.065 * [backup-simplify]: Simplify n into n 55.065 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.065 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 55.065 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 55.065 * [backup-simplify]: Simplify (- 1) into -1 55.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.066 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 55.066 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 55.066 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 55.066 * [taylor]: Taking taylor expansion of (sqrt k) in k 55.066 * [taylor]: Taking taylor expansion of k in k 55.066 * [backup-simplify]: Simplify 0 into 0 55.066 * [backup-simplify]: Simplify 1 into 1 55.066 * [backup-simplify]: Simplify (sqrt 0) into 0 55.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.067 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 55.067 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 55.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 55.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 55.067 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 55.067 * [taylor]: Taking taylor expansion of 1/2 in k 55.067 * [backup-simplify]: Simplify 1/2 into 1/2 55.067 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.067 * [taylor]: Taking taylor expansion of 1 in k 55.067 * [backup-simplify]: Simplify 1 into 1 55.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.067 * [taylor]: Taking taylor expansion of k in k 55.067 * [backup-simplify]: Simplify 0 into 0 55.067 * [backup-simplify]: Simplify 1 into 1 55.068 * [backup-simplify]: Simplify (/ 1 1) into 1 55.068 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 55.068 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 55.068 * [taylor]: Taking taylor expansion of 2 in k 55.068 * [backup-simplify]: Simplify 2 into 2 55.068 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.068 * [taylor]: Taking taylor expansion of PI in k 55.068 * [backup-simplify]: Simplify PI into PI 55.068 * [taylor]: Taking taylor expansion of n in k 55.068 * [backup-simplify]: Simplify n into n 55.068 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.068 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 55.068 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 55.068 * [backup-simplify]: Simplify (- 1) into -1 55.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.069 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 55.069 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 55.069 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 55.069 * [taylor]: Taking taylor expansion of (sqrt k) in k 55.069 * [taylor]: Taking taylor expansion of k in k 55.069 * [backup-simplify]: Simplify 0 into 0 55.069 * [backup-simplify]: Simplify 1 into 1 55.069 * [backup-simplify]: Simplify (sqrt 0) into 0 55.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.070 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 55.070 * [taylor]: Taking taylor expansion of 0 in n 55.070 * [backup-simplify]: Simplify 0 into 0 55.070 * [backup-simplify]: Simplify 0 into 0 55.071 * [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)))))))) 55.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 55.071 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 55.071 * [taylor]: Taking taylor expansion of +nan.0 in n 55.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.071 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 55.071 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 55.071 * [taylor]: Taking taylor expansion of 1/2 in n 55.071 * [backup-simplify]: Simplify 1/2 into 1/2 55.071 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 55.071 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.071 * [taylor]: Taking taylor expansion of 1 in n 55.071 * [backup-simplify]: Simplify 1 into 1 55.071 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.071 * [taylor]: Taking taylor expansion of k in n 55.071 * [backup-simplify]: Simplify k into k 55.071 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.071 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.071 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.071 * [taylor]: Taking taylor expansion of 2 in n 55.071 * [backup-simplify]: Simplify 2 into 2 55.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.071 * [taylor]: Taking taylor expansion of PI in n 55.071 * [backup-simplify]: Simplify PI into PI 55.071 * [taylor]: Taking taylor expansion of n in n 55.071 * [backup-simplify]: Simplify 0 into 0 55.071 * [backup-simplify]: Simplify 1 into 1 55.071 * [backup-simplify]: Simplify (/ PI 1) into PI 55.072 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.072 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.072 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.072 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.074 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 55.075 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.075 * [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))))) 55.076 * [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)))))) 55.077 * [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))))))) 55.077 * [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))))))) 55.077 * [backup-simplify]: Simplify 0 into 0 55.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 55.080 * [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)))))))) 55.080 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 55.080 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 55.080 * [taylor]: Taking taylor expansion of +nan.0 in n 55.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.080 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 55.080 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 55.080 * [taylor]: Taking taylor expansion of 1/2 in n 55.080 * [backup-simplify]: Simplify 1/2 into 1/2 55.080 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 55.080 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.080 * [taylor]: Taking taylor expansion of 1 in n 55.080 * [backup-simplify]: Simplify 1 into 1 55.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.080 * [taylor]: Taking taylor expansion of k in n 55.080 * [backup-simplify]: Simplify k into k 55.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.080 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.080 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.080 * [taylor]: Taking taylor expansion of 2 in n 55.080 * [backup-simplify]: Simplify 2 into 2 55.080 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.080 * [taylor]: Taking taylor expansion of PI in n 55.080 * [backup-simplify]: Simplify PI into PI 55.080 * [taylor]: Taking taylor expansion of n in n 55.080 * [backup-simplify]: Simplify 0 into 0 55.080 * [backup-simplify]: Simplify 1 into 1 55.080 * [backup-simplify]: Simplify (/ PI 1) into PI 55.081 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.082 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.082 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.082 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.083 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 55.084 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.085 * [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))))) 55.085 * [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)))))) 55.086 * [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))))))) 55.087 * [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))))))) 55.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.089 * [backup-simplify]: Simplify (- 0) into 0 55.089 * [backup-simplify]: Simplify (+ 0 0) into 0 55.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.092 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 55.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 55.095 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.097 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 55.097 * [backup-simplify]: Simplify (- 0) into 0 55.097 * [backup-simplify]: Simplify 0 into 0 55.097 * [backup-simplify]: Simplify 0 into 0 55.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 55.102 * [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)))))))) 55.102 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 55.102 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 55.102 * [taylor]: Taking taylor expansion of +nan.0 in n 55.102 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.102 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 55.102 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 55.102 * [taylor]: Taking taylor expansion of 1/2 in n 55.102 * [backup-simplify]: Simplify 1/2 into 1/2 55.102 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 55.102 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.102 * [taylor]: Taking taylor expansion of 1 in n 55.102 * [backup-simplify]: Simplify 1 into 1 55.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.102 * [taylor]: Taking taylor expansion of k in n 55.102 * [backup-simplify]: Simplify k into k 55.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.103 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.103 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.103 * [taylor]: Taking taylor expansion of 2 in n 55.103 * [backup-simplify]: Simplify 2 into 2 55.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.103 * [taylor]: Taking taylor expansion of PI in n 55.103 * [backup-simplify]: Simplify PI into PI 55.103 * [taylor]: Taking taylor expansion of n in n 55.103 * [backup-simplify]: Simplify 0 into 0 55.103 * [backup-simplify]: Simplify 1 into 1 55.103 * [backup-simplify]: Simplify (/ PI 1) into PI 55.104 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.105 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.105 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.108 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 55.109 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.110 * [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))))) 55.111 * [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)))))) 55.112 * [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))))))) 55.114 * [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))))))) 55.117 * [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)))))))) 55.118 * [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)))) 55.118 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 55.118 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 55.118 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 55.118 * [taylor]: Taking taylor expansion of (/ k -1) in n 55.118 * [taylor]: Taking taylor expansion of k in n 55.118 * [backup-simplify]: Simplify k into k 55.118 * [taylor]: Taking taylor expansion of -1 in n 55.119 * [backup-simplify]: Simplify -1 into -1 55.119 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 55.119 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 55.120 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 55.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 55.120 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 55.120 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 55.120 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 55.120 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 55.120 * [taylor]: Taking taylor expansion of 1/2 in n 55.120 * [backup-simplify]: Simplify 1/2 into 1/2 55.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.120 * [taylor]: Taking taylor expansion of k in n 55.120 * [backup-simplify]: Simplify k into k 55.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.120 * [taylor]: Taking taylor expansion of 1 in n 55.120 * [backup-simplify]: Simplify 1 into 1 55.120 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.120 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.120 * [taylor]: Taking taylor expansion of -2 in n 55.120 * [backup-simplify]: Simplify -2 into -2 55.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.120 * [taylor]: Taking taylor expansion of PI in n 55.120 * [backup-simplify]: Simplify PI into PI 55.120 * [taylor]: Taking taylor expansion of n in n 55.120 * [backup-simplify]: Simplify 0 into 0 55.120 * [backup-simplify]: Simplify 1 into 1 55.121 * [backup-simplify]: Simplify (/ PI 1) into PI 55.121 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.122 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.122 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.122 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 55.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.125 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.126 * [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))))) 55.126 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 55.126 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 55.126 * [taylor]: Taking taylor expansion of (/ k -1) in k 55.126 * [taylor]: Taking taylor expansion of k in k 55.126 * [backup-simplify]: Simplify 0 into 0 55.126 * [backup-simplify]: Simplify 1 into 1 55.126 * [taylor]: Taking taylor expansion of -1 in k 55.126 * [backup-simplify]: Simplify -1 into -1 55.126 * [backup-simplify]: Simplify (/ 1 -1) into -1 55.127 * [backup-simplify]: Simplify (sqrt 0) into 0 55.128 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 55.128 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 55.128 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 55.128 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 55.128 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 55.128 * [taylor]: Taking taylor expansion of 1/2 in k 55.128 * [backup-simplify]: Simplify 1/2 into 1/2 55.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.129 * [taylor]: Taking taylor expansion of k in k 55.129 * [backup-simplify]: Simplify 0 into 0 55.129 * [backup-simplify]: Simplify 1 into 1 55.129 * [backup-simplify]: Simplify (/ 1 1) into 1 55.129 * [taylor]: Taking taylor expansion of 1 in k 55.129 * [backup-simplify]: Simplify 1 into 1 55.129 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 55.129 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 55.129 * [taylor]: Taking taylor expansion of -2 in k 55.129 * [backup-simplify]: Simplify -2 into -2 55.129 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.129 * [taylor]: Taking taylor expansion of PI in k 55.129 * [backup-simplify]: Simplify PI into PI 55.129 * [taylor]: Taking taylor expansion of n in k 55.129 * [backup-simplify]: Simplify n into n 55.129 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.129 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 55.129 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 55.130 * [backup-simplify]: Simplify (+ 1 0) into 1 55.130 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.130 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 55.131 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 55.131 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 55.131 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 55.131 * [taylor]: Taking taylor expansion of (/ k -1) in k 55.131 * [taylor]: Taking taylor expansion of k in k 55.131 * [backup-simplify]: Simplify 0 into 0 55.131 * [backup-simplify]: Simplify 1 into 1 55.131 * [taylor]: Taking taylor expansion of -1 in k 55.131 * [backup-simplify]: Simplify -1 into -1 55.131 * [backup-simplify]: Simplify (/ 1 -1) into -1 55.132 * [backup-simplify]: Simplify (sqrt 0) into 0 55.133 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 55.133 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 55.133 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 55.133 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 55.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 55.133 * [taylor]: Taking taylor expansion of 1/2 in k 55.133 * [backup-simplify]: Simplify 1/2 into 1/2 55.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.133 * [taylor]: Taking taylor expansion of k in k 55.133 * [backup-simplify]: Simplify 0 into 0 55.133 * [backup-simplify]: Simplify 1 into 1 55.134 * [backup-simplify]: Simplify (/ 1 1) into 1 55.134 * [taylor]: Taking taylor expansion of 1 in k 55.134 * [backup-simplify]: Simplify 1 into 1 55.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 55.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 55.134 * [taylor]: Taking taylor expansion of -2 in k 55.134 * [backup-simplify]: Simplify -2 into -2 55.134 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.134 * [taylor]: Taking taylor expansion of PI in k 55.134 * [backup-simplify]: Simplify PI into PI 55.134 * [taylor]: Taking taylor expansion of n in k 55.134 * [backup-simplify]: Simplify n into n 55.134 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.134 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 55.134 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 55.135 * [backup-simplify]: Simplify (+ 1 0) into 1 55.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.135 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 55.135 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 55.136 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 55.136 * [taylor]: Taking taylor expansion of 0 in n 55.136 * [backup-simplify]: Simplify 0 into 0 55.136 * [backup-simplify]: Simplify 0 into 0 55.136 * [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)))))) 55.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 55.136 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 55.136 * [taylor]: Taking taylor expansion of +nan.0 in n 55.137 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.137 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 55.137 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 55.137 * [taylor]: Taking taylor expansion of 1/2 in n 55.137 * [backup-simplify]: Simplify 1/2 into 1/2 55.137 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 55.137 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.137 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.137 * [taylor]: Taking taylor expansion of -2 in n 55.137 * [backup-simplify]: Simplify -2 into -2 55.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.137 * [taylor]: Taking taylor expansion of PI in n 55.137 * [backup-simplify]: Simplify PI into PI 55.137 * [taylor]: Taking taylor expansion of n in n 55.137 * [backup-simplify]: Simplify 0 into 0 55.137 * [backup-simplify]: Simplify 1 into 1 55.137 * [backup-simplify]: Simplify (/ PI 1) into PI 55.138 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.139 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.139 * [taylor]: Taking taylor expansion of k in n 55.139 * [backup-simplify]: Simplify k into k 55.139 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.139 * [taylor]: Taking taylor expansion of 1 in n 55.139 * [backup-simplify]: Simplify 1 into 1 55.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.140 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.141 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 55.143 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.144 * [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))))) 55.145 * [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)))))) 55.146 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 55.147 * [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))))))) 55.147 * [backup-simplify]: Simplify 0 into 0 55.148 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 55.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 55.152 * [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)))))) 55.152 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 55.152 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 55.152 * [taylor]: Taking taylor expansion of +nan.0 in n 55.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.152 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 55.152 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 55.152 * [taylor]: Taking taylor expansion of 1/2 in n 55.152 * [backup-simplify]: Simplify 1/2 into 1/2 55.152 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 55.152 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.152 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.152 * [taylor]: Taking taylor expansion of -2 in n 55.152 * [backup-simplify]: Simplify -2 into -2 55.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.152 * [taylor]: Taking taylor expansion of PI in n 55.152 * [backup-simplify]: Simplify PI into PI 55.152 * [taylor]: Taking taylor expansion of n in n 55.152 * [backup-simplify]: Simplify 0 into 0 55.152 * [backup-simplify]: Simplify 1 into 1 55.153 * [backup-simplify]: Simplify (/ PI 1) into PI 55.153 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.154 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.154 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.154 * [taylor]: Taking taylor expansion of k in n 55.154 * [backup-simplify]: Simplify k into k 55.154 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.154 * [taylor]: Taking taylor expansion of 1 in n 55.154 * [backup-simplify]: Simplify 1 into 1 55.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.156 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.157 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 55.158 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.159 * [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))))) 55.160 * [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)))))) 55.161 * [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))))))) 55.163 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 55.164 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.165 * [backup-simplify]: Simplify (+ 0 0) into 0 55.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.166 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 55.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 55.170 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 55.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 55.173 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.174 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 55.175 * [backup-simplify]: Simplify (- 0) into 0 55.175 * [backup-simplify]: Simplify 0 into 0 55.175 * [backup-simplify]: Simplify 0 into 0 55.176 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 55.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 55.181 * [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)))))) 55.181 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 55.181 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 55.181 * [taylor]: Taking taylor expansion of +nan.0 in n 55.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 55.181 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 55.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 55.181 * [taylor]: Taking taylor expansion of 1/2 in n 55.181 * [backup-simplify]: Simplify 1/2 into 1/2 55.182 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 55.182 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.182 * [taylor]: Taking taylor expansion of -2 in n 55.182 * [backup-simplify]: Simplify -2 into -2 55.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.182 * [taylor]: Taking taylor expansion of PI in n 55.182 * [backup-simplify]: Simplify PI into PI 55.182 * [taylor]: Taking taylor expansion of n in n 55.182 * [backup-simplify]: Simplify 0 into 0 55.182 * [backup-simplify]: Simplify 1 into 1 55.185 * [backup-simplify]: Simplify (/ PI 1) into PI 55.185 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.186 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.186 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.186 * [taylor]: Taking taylor expansion of k in n 55.186 * [backup-simplify]: Simplify k into k 55.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.186 * [taylor]: Taking taylor expansion of 1 in n 55.186 * [backup-simplify]: Simplify 1 into 1 55.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.188 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.189 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 55.190 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.191 * [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))))) 55.191 * [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)))))) 55.192 * [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))))))) 55.193 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 55.195 * [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))))))) 55.195 * * * [progress]: simplifying candidates 55.195 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 55.196 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 55.196 * * [simplify]: iters left: 6 (13 enodes) 55.200 * * [simplify]: iters left: 5 (54 enodes) 55.209 * * [simplify]: iters left: 4 (97 enodes) 55.243 * * [simplify]: iters left: 3 (246 enodes) 55.321 * * [simplify]: Extracting #0: cost 1 inf + 0 55.321 * * [simplify]: Extracting #1: cost 28 inf + 0 55.322 * * [simplify]: Extracting #2: cost 93 inf + 2 55.322 * * [simplify]: Extracting #3: cost 138 inf + 186 55.323 * * [simplify]: Extracting #4: cost 108 inf + 3370 55.326 * * [simplify]: Extracting #5: cost 33 inf + 22278 55.332 * * [simplify]: Extracting #6: cost 2 inf + 32881 55.339 * * [simplify]: Extracting #7: cost 0 inf + 33789 55.345 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 55.345 * [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)))) 55.345 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 55.345 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 55.346 * * [simplify]: iters left: 6 (12 enodes) 55.353 * * [simplify]: iters left: 5 (52 enodes) 55.371 * * [simplify]: iters left: 4 (90 enodes) 55.407 * * [simplify]: iters left: 3 (201 enodes) 55.470 * * [simplify]: iters left: 2 (496 enodes) 55.815 * * [simplify]: Extracting #0: cost 1 inf + 0 55.815 * * [simplify]: Extracting #1: cost 22 inf + 0 55.815 * * [simplify]: Extracting #2: cost 123 inf + 2 55.817 * * [simplify]: Extracting #3: cost 296 inf + 186 55.822 * * [simplify]: Extracting #4: cost 244 inf + 9812 55.838 * * [simplify]: Extracting #5: cost 93 inf + 50654 55.868 * * [simplify]: Extracting #6: cost 0 inf + 82473 55.902 * * [simplify]: Extracting #7: cost 0 inf + 82467 55.938 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 55.939 * [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)))) 55.939 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 55.939 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 55.939 * * [simplify]: iters left: 6 (11 enodes) 55.946 * * [simplify]: iters left: 5 (51 enodes) 55.964 * * [simplify]: iters left: 4 (97 enodes) 55.998 * * [simplify]: iters left: 3 (198 enodes) 56.072 * * [simplify]: iters left: 2 (492 enodes) 56.421 * * [simplify]: Extracting #0: cost 1 inf + 0 56.421 * * [simplify]: Extracting #1: cost 27 inf + 0 56.422 * * [simplify]: Extracting #2: cost 138 inf + 2 56.424 * * [simplify]: Extracting #3: cost 300 inf + 352 56.432 * * [simplify]: Extracting #4: cost 251 inf + 8938 56.455 * * [simplify]: Extracting #5: cost 48 inf + 62855 56.485 * * [simplify]: Extracting #6: cost 0 inf + 74672 56.515 * * [simplify]: Extracting #7: cost 0 inf + 74341 56.545 * [simplify]: Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2) 56.546 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)))) 56.546 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 56.546 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 56.546 * [simplify]: Simplifying (* (* 2 PI) n) 56.546 * * [simplify]: iters left: 4 (5 enodes) 56.549 * * [simplify]: iters left: 3 (19 enodes) 56.555 * * [simplify]: iters left: 2 (27 enodes) 56.560 * * [simplify]: iters left: 1 (32 enodes) 56.564 * * [simplify]: Extracting #0: cost 1 inf + 0 56.564 * * [simplify]: Extracting #1: cost 8 inf + 0 56.564 * * [simplify]: Extracting #2: cost 7 inf + 45 56.564 * * [simplify]: Extracting #3: cost 0 inf + 421 56.564 * [simplify]: Simplified to (* (* 2 PI) n) 56.564 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 56.564 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 56.565 * [simplify]: Simplifying (* (* 2 PI) n) 56.565 * * [simplify]: iters left: 4 (5 enodes) 56.566 * * [simplify]: iters left: 3 (19 enodes) 56.571 * * [simplify]: iters left: 2 (27 enodes) 56.575 * * [simplify]: iters left: 1 (32 enodes) 56.579 * * [simplify]: Extracting #0: cost 1 inf + 0 56.579 * * [simplify]: Extracting #1: cost 8 inf + 0 56.579 * * [simplify]: Extracting #2: cost 7 inf + 45 56.579 * * [simplify]: Extracting #3: cost 0 inf + 421 56.579 * [simplify]: Simplified to (* (* 2 PI) n) 56.579 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 56.580 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 56.580 * [simplify]: Simplifying (* (* 2 PI) n) 56.580 * * [simplify]: iters left: 4 (5 enodes) 56.581 * * [simplify]: iters left: 3 (19 enodes) 56.587 * * [simplify]: iters left: 2 (27 enodes) 56.595 * * [simplify]: iters left: 1 (32 enodes) 56.603 * * [simplify]: Extracting #0: cost 1 inf + 0 56.603 * * [simplify]: Extracting #1: cost 8 inf + 0 56.603 * * [simplify]: Extracting #2: cost 7 inf + 45 56.604 * * [simplify]: Extracting #3: cost 0 inf + 421 56.604 * [simplify]: Simplified to (* (* 2 PI) n) 56.604 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 56.604 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 56.604 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 56.605 * * [simplify]: iters left: 5 (8 enodes) 56.609 * * [simplify]: iters left: 4 (31 enodes) 56.619 * * [simplify]: iters left: 3 (51 enodes) 56.636 * * [simplify]: iters left: 2 (85 enodes) 56.665 * * [simplify]: iters left: 1 (152 enodes) 56.724 * * [simplify]: Extracting #0: cost 1 inf + 0 56.724 * * [simplify]: Extracting #1: cost 13 inf + 0 56.725 * * [simplify]: Extracting #2: cost 60 inf + 1 56.725 * * [simplify]: Extracting #3: cost 76 inf + 51 56.726 * * [simplify]: Extracting #4: cost 44 inf + 2846 56.729 * * [simplify]: Extracting #5: cost 21 inf + 7590 56.734 * * [simplify]: Extracting #6: cost 1 inf + 20687 56.739 * * [simplify]: Extracting #7: cost 0 inf + 20539 56.745 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 56.745 * [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))))) 56.745 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 56.745 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 56.745 * * [simplify]: iters left: 5 (6 enodes) 56.749 * * [simplify]: iters left: 4 (26 enodes) 56.758 * * [simplify]: iters left: 3 (35 enodes) 56.769 * * [simplify]: Extracting #0: cost 1 inf + 0 56.769 * * [simplify]: Extracting #1: cost 3 inf + 0 56.769 * * [simplify]: Extracting #2: cost 8 inf + 0 56.769 * * [simplify]: Extracting #3: cost 11 inf + 2 56.769 * * [simplify]: Extracting #4: cost 8 inf + 87 56.769 * * [simplify]: Extracting #5: cost 2 inf + 500 56.770 * * [simplify]: Extracting #6: cost 0 inf + 746 56.770 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 56.770 * [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))))) 56.770 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 56.771 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 56.771 * * [simplify]: iters left: 5 (6 enodes) 56.775 * * [simplify]: iters left: 4 (26 enodes) 56.784 * * [simplify]: iters left: 3 (35 enodes) 56.795 * * [simplify]: Extracting #0: cost 1 inf + 0 56.795 * * [simplify]: Extracting #1: cost 3 inf + 0 56.795 * * [simplify]: Extracting #2: cost 8 inf + 0 56.795 * * [simplify]: Extracting #3: cost 11 inf + 2 56.795 * * [simplify]: Extracting #4: cost 8 inf + 87 56.795 * * [simplify]: Extracting #5: cost 2 inf + 460 56.796 * * [simplify]: Extracting #6: cost 0 inf + 666 56.796 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 56.796 * [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))))) 56.796 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 56.796 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 56.796 * * [simplify]: iters left: 5 (7 enodes) 56.801 * * [simplify]: iters left: 4 (25 enodes) 56.806 * * [simplify]: iters left: 3 (30 enodes) 56.811 * * [simplify]: Extracting #0: cost 1 inf + 0 56.811 * * [simplify]: Extracting #1: cost 4 inf + 0 56.811 * * [simplify]: Extracting #2: cost 8 inf + 0 56.811 * * [simplify]: Extracting #3: cost 10 inf + 82 56.811 * * [simplify]: Extracting #4: cost 7 inf + 206 56.811 * * [simplify]: Extracting #5: cost 2 inf + 575 56.811 * * [simplify]: Extracting #6: cost 1 inf + 818 56.811 * * [simplify]: Extracting #7: cost 0 inf + 1061 56.811 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 56.811 * [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))))) 56.812 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 56.812 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 56.812 * * [simplify]: iters left: 5 (7 enodes) 56.814 * * [simplify]: iters left: 4 (25 enodes) 56.819 * * [simplify]: iters left: 3 (30 enodes) 56.824 * * [simplify]: Extracting #0: cost 1 inf + 0 56.824 * * [simplify]: Extracting #1: cost 4 inf + 0 56.824 * * [simplify]: Extracting #2: cost 8 inf + 0 56.824 * * [simplify]: Extracting #3: cost 10 inf + 42 56.824 * * [simplify]: Extracting #4: cost 7 inf + 126 56.824 * * [simplify]: Extracting #5: cost 2 inf + 495 56.824 * * [simplify]: Extracting #6: cost 1 inf + 698 56.824 * * [simplify]: Extracting #7: cost 0 inf + 901 56.825 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 56.825 * [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))))) 56.825 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 56.825 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 56.825 * * [simplify]: iters left: 5 (6 enodes) 56.827 * * [simplify]: iters left: 4 (22 enodes) 56.831 * * [simplify]: iters left: 3 (27 enodes) 56.842 * * [simplify]: Extracting #0: cost 1 inf + 0 56.842 * * [simplify]: Extracting #1: cost 4 inf + 0 56.842 * * [simplify]: Extracting #2: cost 5 inf + 1 56.842 * * [simplify]: Extracting #3: cost 9 inf + 1 56.842 * * [simplify]: Extracting #4: cost 8 inf + 3 56.843 * * [simplify]: Extracting #5: cost 4 inf + 169 56.843 * * [simplify]: Extracting #6: cost 1 inf + 576 56.843 * * [simplify]: Extracting #7: cost 0 inf + 739 56.843 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 56.843 * [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)))) 56.844 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 56.844 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 56.844 * * [simplify]: iters left: 5 (7 enodes) 56.847 * * [simplify]: iters left: 4 (25 enodes) 56.852 * * [simplify]: iters left: 3 (30 enodes) 56.856 * * [simplify]: Extracting #0: cost 1 inf + 0 56.856 * * [simplify]: Extracting #1: cost 4 inf + 0 56.856 * * [simplify]: Extracting #2: cost 8 inf + 0 56.856 * * [simplify]: Extracting #3: cost 10 inf + 82 56.857 * * [simplify]: Extracting #4: cost 7 inf + 206 56.857 * * [simplify]: Extracting #5: cost 2 inf + 495 56.857 * * [simplify]: Extracting #6: cost 1 inf + 698 56.857 * * [simplify]: Extracting #7: cost 0 inf + 901 56.857 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 56.857 * [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))))) 56.857 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 56.857 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 56.858 * * [simplify]: iters left: 5 (7 enodes) 56.860 * * [simplify]: iters left: 4 (25 enodes) 56.864 * * [simplify]: iters left: 3 (30 enodes) 56.869 * * [simplify]: Extracting #0: cost 1 inf + 0 56.869 * * [simplify]: Extracting #1: cost 4 inf + 0 56.869 * * [simplify]: Extracting #2: cost 8 inf + 0 56.869 * * [simplify]: Extracting #3: cost 10 inf + 42 56.869 * * [simplify]: Extracting #4: cost 7 inf + 126 56.869 * * [simplify]: Extracting #5: cost 2 inf + 415 56.869 * * [simplify]: Extracting #6: cost 1 inf + 578 56.869 * * [simplify]: Extracting #7: cost 0 inf + 741 56.869 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 56.869 * [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))))) 56.869 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 56.870 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 56.870 * * [simplify]: iters left: 5 (6 enodes) 56.872 * * [simplify]: iters left: 4 (22 enodes) 56.876 * * [simplify]: iters left: 3 (27 enodes) 56.884 * * [simplify]: Extracting #0: cost 1 inf + 0 56.885 * * [simplify]: Extracting #1: cost 4 inf + 0 56.885 * * [simplify]: Extracting #2: cost 5 inf + 1 56.885 * * [simplify]: Extracting #3: cost 9 inf + 1 56.885 * * [simplify]: Extracting #4: cost 8 inf + 3 56.885 * * [simplify]: Extracting #5: cost 4 inf + 169 56.885 * * [simplify]: Extracting #6: cost 1 inf + 456 56.885 * * [simplify]: Extracting #7: cost 0 inf + 579 56.886 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 56.886 * [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)))) 56.886 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 56.886 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 56.886 * * [simplify]: iters left: 4 (6 enodes) 56.890 * * [simplify]: iters left: 3 (25 enodes) 56.900 * * [simplify]: iters left: 2 (36 enodes) 56.911 * * [simplify]: iters left: 1 (40 enodes) 56.923 * * [simplify]: Extracting #0: cost 1 inf + 0 56.923 * * [simplify]: Extracting #1: cost 7 inf + 0 56.923 * * [simplify]: Extracting #2: cost 16 inf + 0 56.924 * * [simplify]: Extracting #3: cost 13 inf + 44 56.924 * * [simplify]: Extracting #4: cost 3 inf + 1103 56.924 * * [simplify]: Extracting #5: cost 0 inf + 1469 56.925 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 56.925 * [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))))) 56.925 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 56.925 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 56.925 * * [simplify]: iters left: 4 (6 enodes) 56.930 * * [simplify]: iters left: 3 (25 enodes) 56.935 * * [simplify]: iters left: 2 (36 enodes) 56.941 * * [simplify]: iters left: 1 (40 enodes) 56.947 * * [simplify]: Extracting #0: cost 1 inf + 0 56.947 * * [simplify]: Extracting #1: cost 7 inf + 0 56.947 * * [simplify]: Extracting #2: cost 16 inf + 0 56.947 * * [simplify]: Extracting #3: cost 13 inf + 44 56.947 * * [simplify]: Extracting #4: cost 3 inf + 823 56.948 * * [simplify]: Extracting #5: cost 0 inf + 1069 56.948 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 56.948 * [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))))) 56.948 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 56.948 * [simplify]: Simplifying (/ (- 1 k) 2) 56.948 * * [simplify]: iters left: 4 (5 enodes) 56.952 * * [simplify]: iters left: 3 (23 enodes) 56.956 * * [simplify]: iters left: 2 (32 enodes) 56.965 * * [simplify]: Extracting #0: cost 1 inf + 0 56.965 * * [simplify]: Extracting #1: cost 6 inf + 0 56.965 * * [simplify]: Extracting #2: cost 9 inf + 2 56.965 * * [simplify]: Extracting #3: cost 6 inf + 87 56.965 * * [simplify]: Extracting #4: cost 0 inf + 420 56.965 * [simplify]: Simplified to (/ (- 1 k) 2) 56.966 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 56.966 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 56.966 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 56.966 * * [simplify]: iters left: 5 (8 enodes) 56.972 * * [simplify]: iters left: 4 (31 enodes) 56.983 * * [simplify]: iters left: 3 (45 enodes) 56.995 * * [simplify]: iters left: 2 (51 enodes) 57.002 * * [simplify]: iters left: 1 (52 enodes) 57.010 * * [simplify]: Extracting #0: cost 1 inf + 0 57.010 * * [simplify]: Extracting #1: cost 8 inf + 0 57.010 * * [simplify]: Extracting #2: cost 18 inf + 0 57.010 * * [simplify]: Extracting #3: cost 19 inf + 2 57.010 * * [simplify]: Extracting #4: cost 9 inf + 977 57.011 * * [simplify]: Extracting #5: cost 2 inf + 1790 57.011 * * [simplify]: Extracting #6: cost 0 inf + 2195 57.011 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.011 * [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))))) 57.012 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 57.012 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 57.012 * * [simplify]: iters left: 5 (8 enodes) 57.015 * * [simplify]: iters left: 4 (31 enodes) 57.020 * * [simplify]: iters left: 3 (45 enodes) 57.026 * * [simplify]: iters left: 2 (51 enodes) 57.034 * * [simplify]: iters left: 1 (52 enodes) 57.041 * * [simplify]: Extracting #0: cost 1 inf + 0 57.041 * * [simplify]: Extracting #1: cost 8 inf + 0 57.041 * * [simplify]: Extracting #2: cost 18 inf + 0 57.041 * * [simplify]: Extracting #3: cost 19 inf + 2 57.041 * * [simplify]: Extracting #4: cost 9 inf + 697 57.042 * * [simplify]: Extracting #5: cost 2 inf + 1390 57.042 * * [simplify]: Extracting #6: cost 0 inf + 1715 57.042 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.042 * [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))))) 57.043 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 57.043 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 57.043 * * [simplify]: iters left: 5 (7 enodes) 57.045 * * [simplify]: iters left: 4 (29 enodes) 57.050 * * [simplify]: iters left: 3 (43 enodes) 57.057 * * [simplify]: iters left: 2 (47 enodes) 57.064 * * [simplify]: Extracting #0: cost 1 inf + 0 57.064 * * [simplify]: Extracting #1: cost 7 inf + 0 57.064 * * [simplify]: Extracting #2: cost 11 inf + 2 57.064 * * [simplify]: Extracting #3: cost 13 inf + 3 57.064 * * [simplify]: Extracting #4: cost 11 inf + 45 57.064 * * [simplify]: Extracting #5: cost 0 inf + 1066 57.064 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.064 * [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)))) 57.064 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 57.065 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 57.065 * * [simplify]: iters left: 5 (7 enodes) 57.067 * * [simplify]: iters left: 4 (28 enodes) 57.073 * * [simplify]: iters left: 3 (39 enodes) 57.079 * * [simplify]: iters left: 2 (43 enodes) 57.088 * * [simplify]: Extracting #0: cost 1 inf + 0 57.088 * * [simplify]: Extracting #1: cost 7 inf + 0 57.088 * * [simplify]: Extracting #2: cost 16 inf + 0 57.088 * * [simplify]: Extracting #3: cost 15 inf + 164 57.088 * * [simplify]: Extracting #4: cost 13 inf + 287 57.088 * * [simplify]: Extracting #5: cost 5 inf + 1180 57.089 * * [simplify]: Extracting #6: cost 0 inf + 1951 57.090 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.090 * [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))))) 57.090 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 57.090 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 57.090 * * [simplify]: iters left: 5 (7 enodes) 57.094 * * [simplify]: iters left: 4 (28 enodes) 57.103 * * [simplify]: iters left: 3 (39 enodes) 57.114 * * [simplify]: iters left: 2 (43 enodes) 57.127 * * [simplify]: Extracting #0: cost 1 inf + 0 57.127 * * [simplify]: Extracting #1: cost 7 inf + 0 57.127 * * [simplify]: Extracting #2: cost 16 inf + 0 57.127 * * [simplify]: Extracting #3: cost 15 inf + 84 57.128 * * [simplify]: Extracting #4: cost 13 inf + 167 57.128 * * [simplify]: Extracting #5: cost 5 inf + 900 57.128 * * [simplify]: Extracting #6: cost 0 inf + 1551 57.129 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.129 * [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))))) 57.129 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 57.130 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 57.130 * * [simplify]: iters left: 5 (6 enodes) 57.134 * * [simplify]: iters left: 4 (26 enodes) 57.141 * * [simplify]: iters left: 3 (35 enodes) 57.147 * * [simplify]: Extracting #0: cost 1 inf + 0 57.147 * * [simplify]: Extracting #1: cost 6 inf + 0 57.147 * * [simplify]: Extracting #2: cost 9 inf + 2 57.147 * * [simplify]: Extracting #3: cost 11 inf + 3 57.147 * * [simplify]: Extracting #4: cost 10 inf + 4 57.147 * * [simplify]: Extracting #5: cost 3 inf + 535 57.147 * * [simplify]: Extracting #6: cost 0 inf + 822 57.147 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.147 * [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)))) 57.147 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 57.148 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 57.148 * * [simplify]: iters left: 4 (6 enodes) 57.150 * * [simplify]: iters left: 3 (25 enodes) 57.155 * * [simplify]: iters left: 2 (36 enodes) 57.161 * * [simplify]: iters left: 1 (40 enodes) 57.170 * * [simplify]: Extracting #0: cost 1 inf + 0 57.171 * * [simplify]: Extracting #1: cost 7 inf + 0 57.171 * * [simplify]: Extracting #2: cost 16 inf + 0 57.171 * * [simplify]: Extracting #3: cost 13 inf + 44 57.171 * * [simplify]: Extracting #4: cost 3 inf + 1103 57.172 * * [simplify]: Extracting #5: cost 0 inf + 1469 57.172 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 57.172 * [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))))) 57.172 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 57.173 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 57.173 * * [simplify]: iters left: 4 (6 enodes) 57.176 * * [simplify]: iters left: 3 (25 enodes) 57.185 * * [simplify]: iters left: 2 (36 enodes) 57.195 * * [simplify]: iters left: 1 (40 enodes) 57.206 * * [simplify]: Extracting #0: cost 1 inf + 0 57.206 * * [simplify]: Extracting #1: cost 7 inf + 0 57.206 * * [simplify]: Extracting #2: cost 16 inf + 0 57.207 * * [simplify]: Extracting #3: cost 13 inf + 44 57.207 * * [simplify]: Extracting #4: cost 3 inf + 823 57.207 * * [simplify]: Extracting #5: cost 0 inf + 1069 57.208 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 57.208 * [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))))) 57.208 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 57.208 * [simplify]: Simplifying (/ (- 1 k) 2) 57.208 * * [simplify]: iters left: 4 (5 enodes) 57.212 * * [simplify]: iters left: 3 (23 enodes) 57.219 * * [simplify]: iters left: 2 (32 enodes) 57.228 * * [simplify]: Extracting #0: cost 1 inf + 0 57.228 * * [simplify]: Extracting #1: cost 6 inf + 0 57.228 * * [simplify]: Extracting #2: cost 9 inf + 2 57.228 * * [simplify]: Extracting #3: cost 6 inf + 87 57.228 * * [simplify]: Extracting #4: cost 0 inf + 420 57.228 * [simplify]: Simplified to (/ (- 1 k) 2) 57.228 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 57.229 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 57.229 * [simplify]: Simplifying (/ (- 1 k) 2) 57.229 * * [simplify]: iters left: 4 (5 enodes) 57.232 * * [simplify]: iters left: 3 (23 enodes) 57.240 * * [simplify]: iters left: 2 (32 enodes) 57.249 * * [simplify]: Extracting #0: cost 1 inf + 0 57.249 * * [simplify]: Extracting #1: cost 6 inf + 0 57.249 * * [simplify]: Extracting #2: cost 9 inf + 2 57.249 * * [simplify]: Extracting #3: cost 6 inf + 87 57.249 * * [simplify]: Extracting #4: cost 0 inf + 420 57.250 * [simplify]: Simplified to (/ (- 1 k) 2) 57.250 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 57.250 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 57.250 * [simplify]: Simplifying (/ 1 2) 57.250 * * [simplify]: iters left: 2 (3 enodes) 57.253 * * [simplify]: iters left: 1 (12 enodes) 57.257 * * [simplify]: Extracting #0: cost 1 inf + 0 57.257 * * [simplify]: Extracting #1: cost 0 inf + 1 57.257 * [simplify]: Simplified to 1/2 57.257 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 57.257 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 57.257 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 57.257 * * [simplify]: iters left: 5 (8 enodes) 57.262 * * [simplify]: iters left: 4 (36 enodes) 57.273 * * [simplify]: iters left: 3 (57 enodes) 57.290 * * [simplify]: iters left: 2 (90 enodes) 57.326 * * [simplify]: iters left: 1 (176 enodes) 57.380 * * [simplify]: Extracting #0: cost 1 inf + 0 57.380 * * [simplify]: Extracting #1: cost 13 inf + 0 57.380 * * [simplify]: Extracting #2: cost 55 inf + 1 57.380 * * [simplify]: Extracting #3: cost 86 inf + 6 57.381 * * [simplify]: Extracting #4: cost 68 inf + 2553 57.382 * * [simplify]: Extracting #5: cost 24 inf + 10048 57.385 * * [simplify]: Extracting #6: cost 3 inf + 21580 57.389 * * [simplify]: Extracting #7: cost 0 inf + 23439 57.392 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 57.392 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 57.392 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 57.392 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 57.392 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 57.393 * [simplify]: Simplifying (* (* 2 PI) n) 57.393 * * [simplify]: iters left: 4 (5 enodes) 57.394 * * [simplify]: iters left: 3 (19 enodes) 57.397 * * [simplify]: iters left: 2 (27 enodes) 57.402 * * [simplify]: iters left: 1 (32 enodes) 57.406 * * [simplify]: Extracting #0: cost 1 inf + 0 57.406 * * [simplify]: Extracting #1: cost 8 inf + 0 57.406 * * [simplify]: Extracting #2: cost 7 inf + 45 57.406 * * [simplify]: Extracting #3: cost 0 inf + 421 57.406 * [simplify]: Simplified to (* (* 2 PI) n) 57.406 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 57.407 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 57.407 * [simplify]: Simplifying (* (* 2 PI) n) 57.407 * * [simplify]: iters left: 4 (5 enodes) 57.408 * * [simplify]: iters left: 3 (19 enodes) 57.411 * * [simplify]: iters left: 2 (27 enodes) 57.418 * * [simplify]: iters left: 1 (32 enodes) 57.422 * * [simplify]: Extracting #0: cost 1 inf + 0 57.422 * * [simplify]: Extracting #1: cost 8 inf + 0 57.422 * * [simplify]: Extracting #2: cost 7 inf + 45 57.422 * * [simplify]: Extracting #3: cost 0 inf + 421 57.422 * [simplify]: Simplified to (* (* 2 PI) n) 57.422 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 57.422 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 57.422 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 57.423 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 57.423 * * [simplify]: iters left: 5 (8 enodes) 57.425 * * [simplify]: iters left: 4 (28 enodes) 57.429 * * [simplify]: iters left: 3 (36 enodes) 57.435 * * [simplify]: iters left: 2 (42 enodes) 57.442 * * [simplify]: Extracting #0: cost 1 inf + 0 57.442 * * [simplify]: Extracting #1: cost 8 inf + 0 57.442 * * [simplify]: Extracting #2: cost 17 inf + 0 57.442 * * [simplify]: Extracting #3: cost 13 inf + 74 57.442 * * [simplify]: Extracting #4: cost 6 inf + 1015 57.443 * * [simplify]: Extracting #5: cost 0 inf + 2107 57.443 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 57.443 * [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)))) 57.444 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 57.444 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 57.444 * * [simplify]: iters left: 5 (7 enodes) 57.448 * * [simplify]: iters left: 4 (26 enodes) 57.456 * * [simplify]: iters left: 3 (35 enodes) 57.467 * * [simplify]: iters left: 2 (44 enodes) 57.479 * * [simplify]: Extracting #0: cost 1 inf + 0 57.479 * * [simplify]: Extracting #1: cost 8 inf + 0 57.479 * * [simplify]: Extracting #2: cost 18 inf + 0 57.480 * * [simplify]: Extracting #3: cost 15 inf + 74 57.480 * * [simplify]: Extracting #4: cost 6 inf + 918 57.480 * * [simplify]: Extracting #5: cost 0 inf + 1911 57.481 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 57.481 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 57.481 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 57.481 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 57.481 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 57.482 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 57.482 * * [simplify]: iters left: 6 (11 enodes) 57.489 * * [simplify]: iters left: 5 (47 enodes) 57.510 * * [simplify]: iters left: 4 (115 enodes) 57.562 * * [simplify]: iters left: 3 (384 enodes) 57.860 * * [simplify]: Extracting #0: cost 1 inf + 0 57.860 * * [simplify]: Extracting #1: cost 102 inf + 0 57.863 * * [simplify]: Extracting #2: cost 263 inf + 1026 57.873 * * [simplify]: Extracting #3: cost 88 inf + 24284 57.892 * * [simplify]: Extracting #4: cost 2 inf + 40704 57.905 * * [simplify]: Extracting #5: cost 0 inf + 41008 57.919 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 57.919 * [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)))) 57.919 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 57.919 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 57.919 * * [simplify]: iters left: 6 (9 enodes) 57.925 * * [simplify]: iters left: 5 (45 enodes) 57.948 * * [simplify]: iters left: 4 (116 enodes) 58.003 * * [simplify]: iters left: 3 (371 enodes) 58.352 * * [simplify]: Extracting #0: cost 1 inf + 0 58.353 * * [simplify]: Extracting #1: cost 82 inf + 0 58.355 * * [simplify]: Extracting #2: cost 200 inf + 498 58.361 * * [simplify]: Extracting #3: cost 121 inf + 10421 58.379 * * [simplify]: Extracting #4: cost 5 inf + 33505 58.392 * * [simplify]: Extracting #5: cost 0 inf + 33849 58.405 * * [simplify]: Extracting #6: cost 0 inf + 33809 58.414 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 58.414 * [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)))) 58.415 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 58.415 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 58.415 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 58.415 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 58.415 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 58.415 * [simplify]: Simplifying (cbrt n) 58.415 * * [simplify]: iters left: 1 (2 enodes) 58.415 * * [simplify]: Extracting #0: cost 1 inf + 0 58.415 * * [simplify]: Extracting #1: cost 3 inf + 0 58.415 * * [simplify]: Extracting #2: cost 2 inf + 1 58.416 * * [simplify]: Extracting #3: cost 0 inf + 163 58.416 * [simplify]: Simplified to (cbrt n) 58.416 * [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)))) 58.416 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 58.416 * [simplify]: Simplifying (sqrt n) 58.416 * * [simplify]: iters left: 1 (2 enodes) 58.416 * * [simplify]: Extracting #0: cost 1 inf + 0 58.416 * * [simplify]: Extracting #1: cost 3 inf + 0 58.416 * * [simplify]: Extracting #2: cost 2 inf + 1 58.416 * * [simplify]: Extracting #3: cost 0 inf + 83 58.416 * [simplify]: Simplified to (sqrt n) 58.416 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 58.417 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 58.417 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 58.417 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 58.417 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 58.417 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 58.417 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 58.417 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 58.417 * * [simplify]: iters left: 6 (17 enodes) 58.426 * * [simplify]: iters left: 5 (68 enodes) 58.449 * * [simplify]: iters left: 4 (111 enodes) 58.495 * * [simplify]: iters left: 3 (289 enodes) 58.596 * * [simplify]: Extracting #0: cost 1 inf + 0 58.597 * * [simplify]: Extracting #1: cost 24 inf + 0 58.597 * * [simplify]: Extracting #2: cost 76 inf + 0 58.598 * * [simplify]: Extracting #3: cost 136 inf + 74 58.599 * * [simplify]: Extracting #4: cost 153 inf + 809 58.605 * * [simplify]: Extracting #5: cost 76 inf + 18247 58.619 * * [simplify]: Extracting #6: cost 5 inf + 41211 58.630 * * [simplify]: Extracting #7: cost 0 inf + 43142 58.638 * * [simplify]: Extracting #8: cost 0 inf + 43140 58.646 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 58.646 * [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))))) 58.647 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 58.647 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 58.647 * * [simplify]: iters left: 6 (16 enodes) 58.652 * * [simplify]: iters left: 5 (66 enodes) 58.663 * * [simplify]: iters left: 4 (104 enodes) 58.683 * * [simplify]: iters left: 3 (231 enodes) 58.760 * * [simplify]: Extracting #0: cost 1 inf + 0 58.760 * * [simplify]: Extracting #1: cost 18 inf + 0 58.761 * * [simplify]: Extracting #2: cost 63 inf + 0 58.761 * * [simplify]: Extracting #3: cost 116 inf + 74 58.762 * * [simplify]: Extracting #4: cost 134 inf + 670 58.767 * * [simplify]: Extracting #5: cost 61 inf + 15167 58.778 * * [simplify]: Extracting #6: cost 2 inf + 32562 58.786 * * [simplify]: Extracting #7: cost 0 inf + 33277 58.793 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 58.793 * [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))))) 58.793 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 58.793 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.793 * * [simplify]: iters left: 6 (15 enodes) 58.798 * * [simplify]: iters left: 5 (65 enodes) 58.813 * * [simplify]: iters left: 4 (111 enodes) 58.851 * * [simplify]: iters left: 3 (219 enodes) 58.930 * * [simplify]: Extracting #0: cost 1 inf + 0 58.930 * * [simplify]: Extracting #1: cost 12 inf + 0 58.930 * * [simplify]: Extracting #2: cost 53 inf + 0 58.931 * * [simplify]: Extracting #3: cost 111 inf + 3 58.932 * * [simplify]: Extracting #4: cost 141 inf + 373 58.934 * * [simplify]: Extracting #5: cost 100 inf + 5100 58.940 * * [simplify]: Extracting #6: cost 25 inf + 21516 58.946 * * [simplify]: Extracting #7: cost 0 inf + 28578 58.952 * * [simplify]: Extracting #8: cost 0 inf + 28357 58.958 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 58.958 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 58.958 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 58.958 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 58.958 * * [simplify]: iters left: 6 (15 enodes) 58.963 * * [simplify]: iters left: 5 (65 enodes) 58.975 * * [simplify]: iters left: 4 (111 enodes) 58.997 * * [simplify]: iters left: 3 (219 enodes) 59.069 * * [simplify]: Extracting #0: cost 1 inf + 0 59.069 * * [simplify]: Extracting #1: cost 12 inf + 0 59.069 * * [simplify]: Extracting #2: cost 53 inf + 0 59.070 * * [simplify]: Extracting #3: cost 111 inf + 3 59.070 * * [simplify]: Extracting #4: cost 141 inf + 373 59.071 * * [simplify]: Extracting #5: cost 100 inf + 5100 59.075 * * [simplify]: Extracting #6: cost 25 inf + 21516 59.081 * * [simplify]: Extracting #7: cost 0 inf + 28578 59.088 * * [simplify]: Extracting #8: cost 0 inf + 28357 59.099 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 59.100 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 59.100 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 59.100 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.100 * * [simplify]: iters left: 6 (15 enodes) 59.108 * * [simplify]: iters left: 5 (64 enodes) 59.120 * * [simplify]: iters left: 4 (107 enodes) 59.146 * * [simplify]: iters left: 3 (213 enodes) 59.218 * * [simplify]: Extracting #0: cost 1 inf + 0 59.218 * * [simplify]: Extracting #1: cost 14 inf + 0 59.218 * * [simplify]: Extracting #2: cost 86 inf + 0 59.219 * * [simplify]: Extracting #3: cost 156 inf + 3 59.219 * * [simplify]: Extracting #4: cost 169 inf + 543 59.221 * * [simplify]: Extracting #5: cost 117 inf + 8890 59.228 * * [simplify]: Extracting #6: cost 31 inf + 26444 59.240 * * [simplify]: Extracting #7: cost 1 inf + 37162 59.253 * * [simplify]: Extracting #8: cost 0 inf + 37879 59.266 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 59.266 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 59.266 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 59.266 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 59.267 * * [simplify]: iters left: 6 (17 enodes) 59.277 * * [simplify]: iters left: 5 (68 enodes) 59.291 * * [simplify]: iters left: 4 (111 enodes) 59.323 * * [simplify]: iters left: 3 (289 enodes) 59.412 * * [simplify]: Extracting #0: cost 1 inf + 0 59.412 * * [simplify]: Extracting #1: cost 24 inf + 0 59.412 * * [simplify]: Extracting #2: cost 76 inf + 0 59.413 * * [simplify]: Extracting #3: cost 136 inf + 74 59.413 * * [simplify]: Extracting #4: cost 153 inf + 809 59.418 * * [simplify]: Extracting #5: cost 76 inf + 18247 59.432 * * [simplify]: Extracting #6: cost 5 inf + 41211 59.447 * * [simplify]: Extracting #7: cost 0 inf + 43142 59.463 * * [simplify]: Extracting #8: cost 0 inf + 43140 59.472 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* -1/2 (log k))) 59.473 * [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))))) 59.473 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 59.473 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 59.473 * * [simplify]: iters left: 6 (16 enodes) 59.479 * * [simplify]: iters left: 5 (66 enodes) 59.490 * * [simplify]: iters left: 4 (104 enodes) 59.523 * * [simplify]: iters left: 3 (231 enodes) 59.600 * * [simplify]: Extracting #0: cost 1 inf + 0 59.600 * * [simplify]: Extracting #1: cost 18 inf + 0 59.601 * * [simplify]: Extracting #2: cost 63 inf + 0 59.601 * * [simplify]: Extracting #3: cost 116 inf + 74 59.602 * * [simplify]: Extracting #4: cost 134 inf + 670 59.606 * * [simplify]: Extracting #5: cost 61 inf + 15167 59.621 * * [simplify]: Extracting #6: cost 2 inf + 32562 59.633 * * [simplify]: Extracting #7: cost 0 inf + 33277 59.646 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* -1/2 (log k))) 59.646 * [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))))) 59.646 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 59.647 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 59.647 * * [simplify]: iters left: 6 (15 enodes) 59.656 * * [simplify]: iters left: 5 (65 enodes) 59.679 * * [simplify]: iters left: 4 (111 enodes) 59.711 * * [simplify]: iters left: 3 (219 enodes) 59.774 * * [simplify]: Extracting #0: cost 1 inf + 0 59.774 * * [simplify]: Extracting #1: cost 12 inf + 0 59.774 * * [simplify]: Extracting #2: cost 53 inf + 0 59.774 * * [simplify]: Extracting #3: cost 111 inf + 3 59.775 * * [simplify]: Extracting #4: cost 141 inf + 373 59.776 * * [simplify]: Extracting #5: cost 100 inf + 5100 59.780 * * [simplify]: Extracting #6: cost 25 inf + 21516 59.785 * * [simplify]: Extracting #7: cost 0 inf + 28578 59.791 * * [simplify]: Extracting #8: cost 0 inf + 28357 59.797 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 59.797 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 59.797 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 59.797 * [simplify]: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 59.798 * * [simplify]: iters left: 6 (15 enodes) 59.803 * * [simplify]: iters left: 5 (65 enodes) 59.822 * * [simplify]: iters left: 4 (111 enodes) 59.860 * * [simplify]: iters left: 3 (219 enodes) 59.917 * * [simplify]: Extracting #0: cost 1 inf + 0 59.917 * * [simplify]: Extracting #1: cost 12 inf + 0 59.917 * * [simplify]: Extracting #2: cost 53 inf + 0 59.917 * * [simplify]: Extracting #3: cost 111 inf + 3 59.918 * * [simplify]: Extracting #4: cost 141 inf + 373 59.919 * * [simplify]: Extracting #5: cost 100 inf + 5100 59.925 * * [simplify]: Extracting #6: cost 25 inf + 21516 59.931 * * [simplify]: Extracting #7: cost 0 inf + 28578 59.937 * * [simplify]: Extracting #8: cost 0 inf + 28357 59.942 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)) 59.942 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* n PI) 2)) (* (log (* (* n PI) 2)) k)) 2)))) 59.943 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 59.943 * [simplify]: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 59.943 * * [simplify]: iters left: 6 (15 enodes) 59.947 * * [simplify]: iters left: 5 (64 enodes) 59.967 * * [simplify]: iters left: 4 (107 enodes) 60.003 * * [simplify]: iters left: 3 (213 enodes) 60.063 * * [simplify]: Extracting #0: cost 1 inf + 0 60.063 * * [simplify]: Extracting #1: cost 14 inf + 0 60.064 * * [simplify]: Extracting #2: cost 86 inf + 0 60.064 * * [simplify]: Extracting #3: cost 156 inf + 3 60.065 * * [simplify]: Extracting #4: cost 169 inf + 543 60.066 * * [simplify]: Extracting #5: cost 117 inf + 8890 60.070 * * [simplify]: Extracting #6: cost 31 inf + 26444 60.077 * * [simplify]: Extracting #7: cost 1 inf + 37162 60.084 * * [simplify]: Extracting #8: cost 0 inf + 37879 60.097 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 60.097 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 60.097 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 60.097 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 60.098 * * [simplify]: iters left: 6 (17 enodes) 60.108 * * [simplify]: iters left: 5 (73 enodes) 60.133 * * [simplify]: iters left: 4 (133 enodes) 60.169 * * [simplify]: iters left: 3 (346 enodes) 60.284 * * [simplify]: Extracting #0: cost 1 inf + 0 60.284 * * [simplify]: Extracting #1: cost 24 inf + 0 60.285 * * [simplify]: Extracting #2: cost 106 inf + 0 60.286 * * [simplify]: Extracting #3: cost 169 inf + 187 60.288 * * [simplify]: Extracting #4: cost 192 inf + 1305 60.291 * * [simplify]: Extracting #5: cost 134 inf + 13306 60.305 * * [simplify]: Extracting #6: cost 20 inf + 48718 60.325 * * [simplify]: Extracting #7: cost 0 inf + 56881 60.348 * [simplify]: Simplified to (+ (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (* (log k) -1/2)) 60.348 * [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)))) 60.348 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 60.349 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 60.349 * * [simplify]: iters left: 6 (16 enodes) 60.355 * * [simplify]: iters left: 5 (71 enodes) 60.369 * * [simplify]: iters left: 4 (126 enodes) 60.401 * * [simplify]: iters left: 3 (292 enodes) 60.501 * * [simplify]: Extracting #0: cost 1 inf + 0 60.501 * * [simplify]: Extracting #1: cost 21 inf + 0 60.501 * * [simplify]: Extracting #2: cost 91 inf + 0 60.501 * * [simplify]: Extracting #3: cost 150 inf + 76 60.502 * * [simplify]: Extracting #4: cost 171 inf + 1571 60.504 * * [simplify]: Extracting #5: cost 111 inf + 13499 60.514 * * [simplify]: Extracting #6: cost 25 inf + 37640 60.536 * * [simplify]: Extracting #7: cost 0 inf + 46259 60.554 * * [simplify]: Extracting #8: cost 0 inf + 46095 60.570 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (* (log k) -1/2)) 60.570 * [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)))) 60.570 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 60.571 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 60.571 * * [simplify]: iters left: 6 (15 enodes) 60.581 * * [simplify]: iters left: 5 (70 enodes) 60.606 * * [simplify]: iters left: 4 (133 enodes) 60.658 * * [simplify]: iters left: 3 (280 enodes) 60.744 * * [simplify]: Extracting #0: cost 1 inf + 0 60.744 * * [simplify]: Extracting #1: cost 14 inf + 0 60.744 * * [simplify]: Extracting #2: cost 76 inf + 0 60.745 * * [simplify]: Extracting #3: cost 140 inf + 5 60.747 * * [simplify]: Extracting #4: cost 174 inf + 921 60.751 * * [simplify]: Extracting #5: cost 104 inf + 12431 60.762 * * [simplify]: Extracting #6: cost 14 inf + 35452 60.776 * * [simplify]: Extracting #7: cost 0 inf + 38959 60.794 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 60.795 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 60.795 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 60.795 * [simplify]: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 60.795 * * [simplify]: iters left: 6 (15 enodes) 60.805 * * [simplify]: iters left: 5 (70 enodes) 60.831 * * [simplify]: iters left: 4 (133 enodes) 60.858 * * [simplify]: iters left: 3 (280 enodes) 60.974 * * [simplify]: Extracting #0: cost 1 inf + 0 60.974 * * [simplify]: Extracting #1: cost 14 inf + 0 60.975 * * [simplify]: Extracting #2: cost 76 inf + 0 60.975 * * [simplify]: Extracting #3: cost 140 inf + 5 60.976 * * [simplify]: Extracting #4: cost 174 inf + 921 60.978 * * [simplify]: Extracting #5: cost 104 inf + 12431 60.983 * * [simplify]: Extracting #6: cost 14 inf + 35452 60.990 * * [simplify]: Extracting #7: cost 0 inf + 38959 60.998 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)) 60.998 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* PI (* n 2))) (* (log (* PI (* n 2))) k)) 2)))) 60.998 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 60.998 * [simplify]: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 60.999 * * [simplify]: iters left: 6 (15 enodes) 61.004 * * [simplify]: iters left: 5 (69 enodes) 61.021 * * [simplify]: iters left: 4 (133 enodes) 61.048 * * [simplify]: iters left: 3 (274 enodes) 61.144 * * [simplify]: Extracting #0: cost 1 inf + 0 61.145 * * [simplify]: Extracting #1: cost 16 inf + 0 61.145 * * [simplify]: Extracting #2: cost 102 inf + 0 61.146 * * [simplify]: Extracting #3: cost 181 inf + 4 61.148 * * [simplify]: Extracting #4: cost 184 inf + 2875 61.152 * * [simplify]: Extracting #5: cost 101 inf + 17179 61.164 * * [simplify]: Extracting #6: cost 18 inf + 41749 61.179 * * [simplify]: Extracting #7: cost 1 inf + 47184 61.194 * * [simplify]: Extracting #8: cost 0 inf + 47611 61.204 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 61.204 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))))) 61.204 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 61.204 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 61.204 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 61.204 * [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)))) 61.205 * * [simplify]: iters left: 6 (17 enodes) 61.211 * * [simplify]: iters left: 5 (82 enodes) 61.230 * * [simplify]: iters left: 4 (187 enodes) 61.333 * * [simplify]: Extracting #0: cost 1 inf + 0 61.333 * * [simplify]: Extracting #1: cost 36 inf + 0 61.334 * * [simplify]: Extracting #2: cost 147 inf + 1 61.334 * * [simplify]: Extracting #3: cost 161 inf + 2071 61.335 * * [simplify]: Extracting #4: cost 151 inf + 4860 61.338 * * [simplify]: Extracting #5: cost 101 inf + 20649 61.353 * * [simplify]: Extracting #6: cost 13 inf + 77646 61.374 * * [simplify]: Extracting #7: cost 0 inf + 88763 61.385 * * [simplify]: Extracting #8: cost 0 inf + 88685 61.395 * [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)))) 61.396 * [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)))))) 61.396 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 61.396 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 61.396 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 61.396 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 61.396 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 61.396 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.396 * * [simplify]: iters left: 6 (15 enodes) 61.401 * * [simplify]: iters left: 5 (65 enodes) 61.416 * * [simplify]: iters left: 4 (111 enodes) 61.445 * * [simplify]: iters left: 3 (190 enodes) 61.485 * * [simplify]: iters left: 2 (358 enodes) 61.590 * * [simplify]: Extracting #0: cost 1 inf + 0 61.590 * * [simplify]: Extracting #1: cost 22 inf + 0 61.591 * * [simplify]: Extracting #2: cost 80 inf + 0 61.592 * * [simplify]: Extracting #3: cost 92 inf + 7 61.593 * * [simplify]: Extracting #4: cost 137 inf + 1522 61.595 * * [simplify]: Extracting #5: cost 135 inf + 9284 61.603 * * [simplify]: Extracting #6: cost 63 inf + 35401 61.617 * * [simplify]: Extracting #7: cost 19 inf + 60813 61.635 * * [simplify]: Extracting #8: cost 0 inf + 75234 61.654 * * [simplify]: Extracting #9: cost 0 inf + 74852 61.676 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 61.676 * [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)))))) 61.676 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 61.677 * * [simplify]: iters left: 6 (15 enodes) 61.686 * * [simplify]: iters left: 5 (65 enodes) 61.701 * * [simplify]: iters left: 4 (111 enodes) 61.721 * * [simplify]: iters left: 3 (190 enodes) 61.791 * * [simplify]: iters left: 2 (358 enodes) 61.920 * * [simplify]: Extracting #0: cost 1 inf + 0 61.920 * * [simplify]: Extracting #1: cost 22 inf + 0 61.921 * * [simplify]: Extracting #2: cost 80 inf + 0 61.921 * * [simplify]: Extracting #3: cost 92 inf + 7 61.923 * * [simplify]: Extracting #4: cost 137 inf + 1522 61.925 * * [simplify]: Extracting #5: cost 135 inf + 9284 61.932 * * [simplify]: Extracting #6: cost 63 inf + 35401 61.946 * * [simplify]: Extracting #7: cost 19 inf + 60813 61.963 * * [simplify]: Extracting #8: cost 0 inf + 75234 61.981 * * [simplify]: Extracting #9: cost 0 inf + 74852 61.999 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 61.999 * [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)))))) 61.999 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 61.999 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 61.999 * * [simplify]: iters left: 6 (15 enodes) 62.010 * * [simplify]: iters left: 5 (68 enodes) 62.023 * * [simplify]: iters left: 4 (125 enodes) 62.062 * * [simplify]: iters left: 3 (246 enodes) 62.145 * * [simplify]: Extracting #0: cost 1 inf + 0 62.145 * * [simplify]: Extracting #1: cost 32 inf + 0 62.145 * * [simplify]: Extracting #2: cost 114 inf + 0 62.146 * * [simplify]: Extracting #3: cost 148 inf + 5 62.147 * * [simplify]: Extracting #4: cost 145 inf + 1442 62.149 * * [simplify]: Extracting #5: cost 84 inf + 22762 62.156 * * [simplify]: Extracting #6: cost 8 inf + 70872 62.167 * * [simplify]: Extracting #7: cost 0 inf + 73751 62.184 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 62.185 * [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))))) 62.185 * [simplify]: Simplifying (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 62.185 * * [simplify]: iters left: 6 (15 enodes) 62.195 * * [simplify]: iters left: 5 (68 enodes) 62.212 * * [simplify]: iters left: 4 (125 enodes) 62.249 * * [simplify]: iters left: 3 (246 enodes) 62.321 * * [simplify]: Extracting #0: cost 1 inf + 0 62.321 * * [simplify]: Extracting #1: cost 32 inf + 0 62.321 * * [simplify]: Extracting #2: cost 114 inf + 0 62.322 * * [simplify]: Extracting #3: cost 148 inf + 5 62.322 * * [simplify]: Extracting #4: cost 145 inf + 1442 62.327 * * [simplify]: Extracting #5: cost 84 inf + 22762 62.338 * * [simplify]: Extracting #6: cost 8 inf + 70872 62.353 * * [simplify]: Extracting #7: cost 0 inf + 73751 62.368 * [simplify]: Simplified to (* (pow (sqrt k) -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 62.368 * [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))))) 62.368 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 62.369 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 62.369 * * [simplify]: iters left: 6 (15 enodes) 62.377 * * [simplify]: iters left: 5 (65 enodes) 62.398 * * [simplify]: iters left: 4 (108 enodes) 62.435 * * [simplify]: iters left: 3 (179 enodes) 62.502 * * [simplify]: iters left: 2 (315 enodes) 62.599 * * [simplify]: Extracting #0: cost 1 inf + 0 62.600 * * [simplify]: Extracting #1: cost 4 inf + 0 62.600 * * [simplify]: Extracting #2: cost 10 inf + 0 62.600 * * [simplify]: Extracting #3: cost 40 inf + 0 62.600 * * [simplify]: Extracting #4: cost 114 inf + 4 62.601 * * [simplify]: Extracting #5: cost 116 inf + 3942 62.604 * * [simplify]: Extracting #6: cost 63 inf + 15090 62.611 * * [simplify]: Extracting #7: cost 16 inf + 32664 62.621 * * [simplify]: Extracting #8: cost 2 inf + 40800 62.627 * * [simplify]: Extracting #9: cost 0 inf + 41984 62.632 * * [simplify]: Extracting #10: cost 0 inf + 41862 62.636 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 62.637 * [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)))))) 62.637 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 62.637 * * [simplify]: iters left: 6 (15 enodes) 62.642 * * [simplify]: iters left: 5 (65 enodes) 62.655 * * [simplify]: iters left: 4 (108 enodes) 62.678 * * [simplify]: iters left: 3 (179 enodes) 62.737 * * [simplify]: iters left: 2 (315 enodes) 62.823 * * [simplify]: Extracting #0: cost 1 inf + 0 62.823 * * [simplify]: Extracting #1: cost 4 inf + 0 62.823 * * [simplify]: Extracting #2: cost 10 inf + 0 62.823 * * [simplify]: Extracting #3: cost 40 inf + 0 62.824 * * [simplify]: Extracting #4: cost 114 inf + 4 62.825 * * [simplify]: Extracting #5: cost 116 inf + 3942 62.828 * * [simplify]: Extracting #6: cost 63 inf + 15090 62.835 * * [simplify]: Extracting #7: cost 16 inf + 32664 62.841 * * [simplify]: Extracting #8: cost 2 inf + 40800 62.846 * * [simplify]: Extracting #9: cost 0 inf + 41984 62.851 * * [simplify]: Extracting #10: cost 0 inf + 41862 62.856 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 62.856 * [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)))))) 62.856 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 62.857 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 62.857 * * [simplify]: iters left: 6 (15 enodes) 62.862 * * [simplify]: iters left: 5 (68 enodes) 62.875 * * [simplify]: iters left: 4 (118 enodes) 62.915 * * [simplify]: iters left: 3 (208 enodes) 62.995 * * [simplify]: iters left: 2 (412 enodes) 63.165 * * [simplify]: Extracting #0: cost 1 inf + 0 63.165 * * [simplify]: Extracting #1: cost 36 inf + 0 63.166 * * [simplify]: Extracting #2: cost 106 inf + 0 63.166 * * [simplify]: Extracting #3: cost 169 inf + 2 63.167 * * [simplify]: Extracting #4: cost 193 inf + 984 63.169 * * [simplify]: Extracting #5: cost 145 inf + 9064 63.178 * * [simplify]: Extracting #6: cost 49 inf + 51280 63.189 * * [simplify]: Extracting #7: cost 4 inf + 89226 63.213 * * [simplify]: Extracting #8: cost 0 inf + 92777 63.226 * * [simplify]: Extracting #9: cost 0 inf + 92654 63.237 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 63.237 * [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))))) 63.238 * [simplify]: Simplifying (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 63.238 * * [simplify]: iters left: 6 (15 enodes) 63.244 * * [simplify]: iters left: 5 (68 enodes) 63.269 * * [simplify]: iters left: 4 (118 enodes) 63.294 * * [simplify]: iters left: 3 (208 enodes) 63.351 * * [simplify]: iters left: 2 (412 enodes) 63.477 * * [simplify]: Extracting #0: cost 1 inf + 0 63.477 * * [simplify]: Extracting #1: cost 36 inf + 0 63.478 * * [simplify]: Extracting #2: cost 106 inf + 0 63.479 * * [simplify]: Extracting #3: cost 169 inf + 2 63.481 * * [simplify]: Extracting #4: cost 193 inf + 984 63.488 * * [simplify]: Extracting #5: cost 145 inf + 9064 63.500 * * [simplify]: Extracting #6: cost 49 inf + 51280 63.522 * * [simplify]: Extracting #7: cost 4 inf + 89226 63.545 * * [simplify]: Extracting #8: cost 0 inf + 92777 63.565 * * [simplify]: Extracting #9: cost 0 inf + 92654 63.577 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 63.577 * [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))))) 63.577 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 63.578 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 63.578 * * [simplify]: iters left: 6 (15 enodes) 63.584 * * [simplify]: iters left: 5 (66 enodes) 63.602 * * [simplify]: iters left: 4 (117 enodes) 63.647 * * [simplify]: iters left: 3 (207 enodes) 63.723 * * [simplify]: iters left: 2 (392 enodes) 63.846 * * [simplify]: Extracting #0: cost 1 inf + 0 63.846 * * [simplify]: Extracting #1: cost 27 inf + 0 63.847 * * [simplify]: Extracting #2: cost 83 inf + 0 63.847 * * [simplify]: Extracting #3: cost 93 inf + 8 63.848 * * [simplify]: Extracting #4: cost 127 inf + 6427 63.849 * * [simplify]: Extracting #5: cost 129 inf + 13260 63.855 * * [simplify]: Extracting #6: cost 75 inf + 27993 63.866 * * [simplify]: Extracting #7: cost 30 inf + 54942 63.883 * * [simplify]: Extracting #8: cost 0 inf + 76455 63.902 * * [simplify]: Extracting #9: cost 0 inf + 75720 63.919 * * [simplify]: Extracting #10: cost 0 inf + 75458 63.934 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 63.934 * [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)))))) 63.934 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 63.934 * * [simplify]: iters left: 6 (15 enodes) 63.940 * * [simplify]: iters left: 5 (66 enodes) 63.953 * * [simplify]: iters left: 4 (117 enodes) 63.990 * * [simplify]: iters left: 3 (207 enodes) 64.055 * * [simplify]: iters left: 2 (392 enodes) 64.181 * * [simplify]: Extracting #0: cost 1 inf + 0 64.181 * * [simplify]: Extracting #1: cost 27 inf + 0 64.181 * * [simplify]: Extracting #2: cost 83 inf + 0 64.182 * * [simplify]: Extracting #3: cost 93 inf + 8 64.183 * * [simplify]: Extracting #4: cost 127 inf + 6427 64.186 * * [simplify]: Extracting #5: cost 129 inf + 13260 64.191 * * [simplify]: Extracting #6: cost 75 inf + 27993 64.203 * * [simplify]: Extracting #7: cost 30 inf + 54942 64.218 * * [simplify]: Extracting #8: cost 0 inf + 76455 64.226 * * [simplify]: Extracting #9: cost 0 inf + 75720 64.235 * * [simplify]: Extracting #10: cost 0 inf + 75458 64.250 * [simplify]: Simplified to (* (pow k -1/4) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 64.250 * [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))))))) 64.250 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 64.251 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 64.251 * * [simplify]: iters left: 6 (15 enodes) 64.261 * * [simplify]: iters left: 5 (69 enodes) 64.288 * * [simplify]: iters left: 4 (131 enodes) 64.343 * * [simplify]: iters left: 3 (262 enodes) 64.454 * * [simplify]: Extracting #0: cost 1 inf + 0 64.454 * * [simplify]: Extracting #1: cost 32 inf + 0 64.454 * * [simplify]: Extracting #2: cost 113 inf + 0 64.455 * * [simplify]: Extracting #3: cost 145 inf + 6 64.456 * * [simplify]: Extracting #4: cost 131 inf + 4394 64.462 * * [simplify]: Extracting #5: cost 59 inf + 34433 64.470 * * [simplify]: Extracting #6: cost 4 inf + 65966 64.477 * * [simplify]: Extracting #7: cost 0 inf + 69228 64.493 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 64.493 * [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))))) 64.494 * [simplify]: Simplifying (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 64.494 * * [simplify]: iters left: 6 (15 enodes) 64.504 * * [simplify]: iters left: 5 (69 enodes) 64.530 * * [simplify]: iters left: 4 (131 enodes) 64.583 * * [simplify]: iters left: 3 (262 enodes) 64.663 * * [simplify]: Extracting #0: cost 1 inf + 0 64.663 * * [simplify]: Extracting #1: cost 32 inf + 0 64.663 * * [simplify]: Extracting #2: cost 113 inf + 0 64.664 * * [simplify]: Extracting #3: cost 145 inf + 6 64.665 * * [simplify]: Extracting #4: cost 131 inf + 4394 64.668 * * [simplify]: Extracting #5: cost 59 inf + 34433 64.680 * * [simplify]: Extracting #6: cost 4 inf + 65966 64.695 * * [simplify]: Extracting #7: cost 0 inf + 69228 64.703 * [simplify]: Simplified to (* (pow k -1/4) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 64.703 * [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))))) 64.703 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 64.703 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 64.703 * * [simplify]: iters left: 5 (7 enodes) 64.706 * * [simplify]: iters left: 4 (32 enodes) 64.712 * * [simplify]: iters left: 3 (57 enodes) 64.729 * * [simplify]: iters left: 2 (88 enodes) 64.754 * * [simplify]: iters left: 1 (156 enodes) 64.799 * * [simplify]: Extracting #0: cost 1 inf + 0 64.799 * * [simplify]: Extracting #1: cost 13 inf + 0 64.799 * * [simplify]: Extracting #2: cost 49 inf + 2 64.800 * * [simplify]: Extracting #3: cost 80 inf + 6 64.801 * * [simplify]: Extracting #4: cost 58 inf + 1840 64.803 * * [simplify]: Extracting #5: cost 22 inf + 9206 64.809 * * [simplify]: Extracting #6: cost 1 inf + 20886 64.815 * * [simplify]: Extracting #7: cost 0 inf + 21301 64.821 * * [simplify]: Extracting #8: cost 0 inf + 21130 64.827 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 64.827 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 64.827 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 64.828 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 64.828 * * [simplify]: iters left: 6 (11 enodes) 64.834 * * [simplify]: iters left: 5 (48 enodes) 64.843 * * [simplify]: iters left: 4 (77 enodes) 64.857 * * [simplify]: iters left: 3 (118 enodes) 64.884 * * [simplify]: iters left: 2 (206 enodes) 64.938 * * [simplify]: iters left: 1 (370 enodes) 65.083 * * [simplify]: Extracting #0: cost 1 inf + 0 65.083 * * [simplify]: Extracting #1: cost 3 inf + 0 65.083 * * [simplify]: Extracting #2: cost 27 inf + 0 65.084 * * [simplify]: Extracting #3: cost 102 inf + 1 65.085 * * [simplify]: Extracting #4: cost 162 inf + 134 65.086 * * [simplify]: Extracting #5: cost 156 inf + 519 65.089 * * [simplify]: Extracting #6: cost 94 inf + 9125 65.094 * * [simplify]: Extracting #7: cost 36 inf + 32718 65.105 * * [simplify]: Extracting #8: cost 2 inf + 60006 65.116 * * [simplify]: Extracting #9: cost 0 inf + 59623 65.131 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 65.131 * [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)))))) 65.131 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 65.132 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 65.132 * * [simplify]: iters left: 6 (11 enodes) 65.139 * * [simplify]: iters left: 5 (48 enodes) 65.155 * * [simplify]: iters left: 4 (78 enodes) 65.181 * * [simplify]: iters left: 3 (119 enodes) 65.227 * * [simplify]: iters left: 2 (210 enodes) 65.305 * * [simplify]: iters left: 1 (383 enodes) 65.477 * * [simplify]: Extracting #0: cost 1 inf + 0 65.477 * * [simplify]: Extracting #1: cost 4 inf + 0 65.477 * * [simplify]: Extracting #2: cost 28 inf + 0 65.477 * * [simplify]: Extracting #3: cost 110 inf + 1 65.478 * * [simplify]: Extracting #4: cost 152 inf + 178 65.479 * * [simplify]: Extracting #5: cost 142 inf + 935 65.480 * * [simplify]: Extracting #6: cost 87 inf + 7703 65.486 * * [simplify]: Extracting #7: cost 23 inf + 38047 65.495 * * [simplify]: Extracting #8: cost 1 inf + 56893 65.504 * * [simplify]: Extracting #9: cost 0 inf + 58062 65.512 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 65.513 * [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))))) 65.513 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 65.513 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 65.513 * * [simplify]: iters left: 5 (10 enodes) 65.517 * * [simplify]: iters left: 4 (45 enodes) 65.532 * * [simplify]: iters left: 3 (78 enodes) 65.562 * * [simplify]: iters left: 2 (118 enodes) 65.587 * * [simplify]: iters left: 1 (191 enodes) 65.629 * * [simplify]: Extracting #0: cost 1 inf + 0 65.629 * * [simplify]: Extracting #1: cost 13 inf + 0 65.629 * * [simplify]: Extracting #2: cost 59 inf + 1 65.629 * * [simplify]: Extracting #3: cost 91 inf + 7 65.630 * * [simplify]: Extracting #4: cost 83 inf + 556 65.631 * * [simplify]: Extracting #5: cost 33 inf + 11764 65.635 * * [simplify]: Extracting #6: cost 0 inf + 23469 65.640 * * [simplify]: Extracting #7: cost 0 inf + 23146 65.646 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 65.646 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 65.646 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 65.646 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 65.646 * * [simplify]: iters left: 6 (11 enodes) 65.651 * * [simplify]: iters left: 5 (51 enodes) 65.667 * * [simplify]: iters left: 4 (87 enodes) 65.691 * * [simplify]: iters left: 3 (143 enodes) 65.727 * * [simplify]: iters left: 2 (259 enodes) 65.819 * * [simplify]: iters left: 1 (469 enodes) 66.007 * * [simplify]: Extracting #0: cost 1 inf + 0 66.008 * * [simplify]: Extracting #1: cost 23 inf + 0 66.008 * * [simplify]: Extracting #2: cost 109 inf + 1 66.010 * * [simplify]: Extracting #3: cost 194 inf + 137 66.012 * * [simplify]: Extracting #4: cost 176 inf + 2344 66.019 * * [simplify]: Extracting #5: cost 80 inf + 17283 66.030 * * [simplify]: Extracting #6: cost 12 inf + 52046 66.041 * * [simplify]: Extracting #7: cost 0 inf + 61992 66.052 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 66.052 * [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))))) 66.052 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 66.052 * [simplify]: Simplifying (pow (* (cbrt k) (cbrt k)) -1/2) 66.052 * * [simplify]: iters left: 4 (5 enodes) 66.054 * * [simplify]: iters left: 3 (20 enodes) 66.063 * * [simplify]: iters left: 2 (34 enodes) 66.077 * * [simplify]: iters left: 1 (64 enodes) 66.100 * * [simplify]: Extracting #0: cost 1 inf + 0 66.100 * * [simplify]: Extracting #1: cost 9 inf + 0 66.101 * * [simplify]: Extracting #2: cost 23 inf + 1 66.101 * * [simplify]: Extracting #3: cost 22 inf + 5 66.101 * * [simplify]: Extracting #4: cost 18 inf + 169 66.102 * * [simplify]: Extracting #5: cost 9 inf + 3237 66.103 * * [simplify]: Extracting #6: cost 0 inf + 7611 66.104 * [simplify]: Simplified to (pow (* (cbrt k) (cbrt k)) -1/2) 66.104 * [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))))) 66.104 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 66.104 * [simplify]: Simplifying (pow (sqrt k) -1/2) 66.104 * * [simplify]: iters left: 2 (4 enodes) 66.107 * * [simplify]: iters left: 1 (17 enodes) 66.115 * * [simplify]: Extracting #0: cost 1 inf + 0 66.115 * * [simplify]: Extracting #1: cost 5 inf + 0 66.115 * * [simplify]: Extracting #2: cost 9 inf + 1 66.116 * * [simplify]: Extracting #3: cost 8 inf + 3 66.116 * * [simplify]: Extracting #4: cost 1 inf + 1094 66.116 * * [simplify]: Extracting #5: cost 0 inf + 1346 66.116 * [simplify]: Simplified to (pow (sqrt k) -1/2) 66.116 * [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))))) 66.116 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 66.117 * [simplify]: Simplifying (pow 1 -1/2) 66.117 * * [simplify]: iters left: 1 (3 enodes) 66.119 * * [simplify]: Extracting #0: cost 1 inf + 0 66.119 * * [simplify]: Extracting #1: cost 0 inf + 1 66.119 * [simplify]: Simplified to 1 66.119 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 66.119 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 66.120 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 66.120 * * [simplify]: iters left: 4 (5 enodes) 66.123 * * [simplify]: iters left: 3 (20 enodes) 66.131 * * [simplify]: iters left: 2 (34 enodes) 66.146 * * [simplify]: iters left: 1 (64 enodes) 66.172 * * [simplify]: Extracting #0: cost 1 inf + 0 66.172 * * [simplify]: Extracting #1: cost 3 inf + 0 66.172 * * [simplify]: Extracting #2: cost 5 inf + 0 66.172 * * [simplify]: Extracting #3: cost 13 inf + 0 66.172 * * [simplify]: Extracting #4: cost 24 inf + 2 66.172 * * [simplify]: Extracting #5: cost 15 inf + 1558 66.173 * * [simplify]: Extracting #6: cost 6 inf + 4299 66.174 * * [simplify]: Extracting #7: cost 0 inf + 6535 66.174 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 66.174 * [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))))) 66.175 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 66.175 * [simplify]: Simplifying (sqrt (pow k -1/2)) 66.175 * * [simplify]: iters left: 2 (4 enodes) 66.178 * * [simplify]: iters left: 1 (17 enodes) 66.185 * * [simplify]: Extracting #0: cost 1 inf + 0 66.185 * * [simplify]: Extracting #1: cost 4 inf + 0 66.186 * * [simplify]: Extracting #2: cost 10 inf + 0 66.186 * * [simplify]: Extracting #3: cost 8 inf + 3 66.186 * * [simplify]: Extracting #4: cost 1 inf + 1356 66.186 * * [simplify]: Extracting #5: cost 0 inf + 1568 66.186 * [simplify]: Simplified to (sqrt (pow k -1/2)) 66.186 * [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))))) 66.186 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 66.187 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 66.187 * [simplify]: Simplifying (pow k (/ -1/2 2)) 66.187 * * [simplify]: iters left: 3 (5 enodes) 66.191 * * [simplify]: iters left: 2 (20 enodes) 66.201 * * [simplify]: iters left: 1 (37 enodes) 66.211 * * [simplify]: Extracting #0: cost 1 inf + 0 66.211 * * [simplify]: Extracting #1: cost 9 inf + 0 66.211 * * [simplify]: Extracting #2: cost 12 inf + 2 66.211 * * [simplify]: Extracting #3: cost 7 inf + 852 66.211 * * [simplify]: Extracting #4: cost 0 inf + 2667 66.212 * [simplify]: Simplified to (pow k -1/4) 66.212 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow k -1/4) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 66.212 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 66.212 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 66.212 * * [simplify]: iters left: 5 (8 enodes) 66.214 * * [simplify]: iters left: 4 (31 enodes) 66.220 * * [simplify]: iters left: 3 (51 enodes) 66.229 * * [simplify]: iters left: 2 (85 enodes) 66.251 * * [simplify]: iters left: 1 (152 enodes) 66.303 * * [simplify]: Extracting #0: cost 1 inf + 0 66.303 * * [simplify]: Extracting #1: cost 13 inf + 0 66.304 * * [simplify]: Extracting #2: cost 60 inf + 1 66.304 * * [simplify]: Extracting #3: cost 76 inf + 51 66.304 * * [simplify]: Extracting #4: cost 44 inf + 2846 66.306 * * [simplify]: Extracting #5: cost 21 inf + 7590 66.308 * * [simplify]: Extracting #6: cost 1 inf + 20687 66.311 * * [simplify]: Extracting #7: cost 0 inf + 20539 66.314 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 66.314 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 66.314 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 66.314 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 66.314 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 66.314 * [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))))) 66.315 * * [simplify]: iters left: 6 (37 enodes) 66.326 * * [simplify]: iters left: 5 (187 enodes) 66.393 * * [simplify]: iters left: 4 (488 enodes) 66.630 * * [simplify]: Extracting #0: cost 1 inf + 0 66.630 * * [simplify]: Extracting #1: cost 57 inf + 0 66.632 * * [simplify]: Extracting #2: cost 294 inf + 0 66.635 * * [simplify]: Extracting #3: cost 524 inf + 199 66.641 * * [simplify]: Extracting #4: cost 512 inf + 6095 66.664 * * [simplify]: Extracting #5: cost 310 inf + 78036 66.755 * * [simplify]: Extracting #6: cost 40 inf + 220622 66.828 * * [simplify]: Extracting #7: cost 0 inf + 244981 66.903 * * [simplify]: Extracting #8: cost 0 inf + 243455 66.973 * * [simplify]: Extracting #9: cost 0 inf + 243454 67.078 * [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)))))))) 67.078 * [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)))))))))) 67.079 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 67.079 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 67.079 * * [simplify]: iters left: 6 (15 enodes) 67.089 * * [simplify]: iters left: 5 (65 enodes) 67.103 * * [simplify]: iters left: 4 (123 enodes) 67.140 * * [simplify]: iters left: 3 (361 enodes) 67.312 * * [simplify]: Extracting #0: cost 1 inf + 0 67.312 * * [simplify]: Extracting #1: cost 37 inf + 0 67.312 * * [simplify]: Extracting #2: cost 213 inf + 72 67.314 * * [simplify]: Extracting #3: cost 350 inf + 1716 67.319 * * [simplify]: Extracting #4: cost 221 inf + 30028 67.342 * * [simplify]: Extracting #5: cost 33 inf + 78046 67.361 * * [simplify]: Extracting #6: cost 1 inf + 88785 67.377 * * [simplify]: Extracting #7: cost 0 inf + 88926 67.392 * * [simplify]: Extracting #8: cost 0 inf + 88841 67.421 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 67.421 * [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)))))) 67.421 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 67.421 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 67.421 * * [simplify]: iters left: 6 (16 enodes) 67.431 * * [simplify]: iters left: 5 (67 enodes) 67.460 * * [simplify]: iters left: 4 (134 enodes) 67.518 * * [simplify]: iters left: 3 (407 enodes) 67.724 * * [simplify]: Extracting #0: cost 1 inf + 0 67.724 * * [simplify]: Extracting #1: cost 39 inf + 0 67.725 * * [simplify]: Extracting #2: cost 241 inf + 72 67.728 * * [simplify]: Extracting #3: cost 449 inf + 888 67.740 * * [simplify]: Extracting #4: cost 283 inf + 39678 67.761 * * [simplify]: Extracting #5: cost 24 inf + 116942 67.802 * * [simplify]: Extracting #6: cost 0 inf + 121984 67.831 * * [simplify]: Extracting #7: cost 0 inf + 121983 67.859 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 67.859 * [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))))))))) 67.859 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 67.859 * [simplify]: Simplifying (* 2 (* n PI)) 67.859 * * [simplify]: iters left: 4 (5 enodes) 67.863 * * [simplify]: iters left: 3 (19 enodes) 67.869 * * [simplify]: iters left: 2 (27 enodes) 67.877 * * [simplify]: iters left: 1 (32 enodes) 67.886 * * [simplify]: Extracting #0: cost 1 inf + 0 67.886 * * [simplify]: Extracting #1: cost 8 inf + 0 67.886 * * [simplify]: Extracting #2: cost 7 inf + 45 67.886 * * [simplify]: Extracting #3: cost 0 inf + 421 67.886 * [simplify]: Simplified to (* (* PI n) 2) 67.886 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 67.886 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 67.887 * [simplify]: Simplifying (* 2 (* n PI)) 67.887 * * [simplify]: iters left: 4 (5 enodes) 67.892 * * [simplify]: iters left: 3 (19 enodes) 67.898 * * [simplify]: iters left: 2 (27 enodes) 67.906 * * [simplify]: iters left: 1 (32 enodes) 67.914 * * [simplify]: Extracting #0: cost 1 inf + 0 67.914 * * [simplify]: Extracting #1: cost 8 inf + 0 67.914 * * [simplify]: Extracting #2: cost 7 inf + 45 67.914 * * [simplify]: Extracting #3: cost 0 inf + 421 67.915 * [simplify]: Simplified to (* (* PI n) 2) 67.915 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 67.915 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 67.915 * [simplify]: Simplifying (* 2 (* n PI)) 67.915 * * [simplify]: iters left: 4 (5 enodes) 67.918 * * [simplify]: iters left: 3 (19 enodes) 67.924 * * [simplify]: iters left: 2 (27 enodes) 67.932 * * [simplify]: iters left: 1 (32 enodes) 67.937 * * [simplify]: Extracting #0: cost 1 inf + 0 67.937 * * [simplify]: Extracting #1: cost 8 inf + 0 67.937 * * [simplify]: Extracting #2: cost 7 inf + 45 67.937 * * [simplify]: Extracting #3: cost 0 inf + 421 67.938 * [simplify]: Simplified to (* (* PI n) 2) 67.938 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 67.938 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 67.938 * [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))))))))))))) 67.938 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 67.938 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 67.938 * [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)))))))) 67.938 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 67.938 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 67.939 * [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))))))) 67.939 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 67.939 * * * [progress]: adding candidates to table 69.120 * * [progress]: iteration 4 / 4 69.120 * * * [progress]: picking best candidate 69.157 * * * * [pick]: Picked # 69.158 * * * [progress]: localizing error 69.202 * * * [progress]: generating rewritten candidates 69.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 69.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 69.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 69.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 69.271 * * * [progress]: generating series expansions 69.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 69.272 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 69.272 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 69.272 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.272 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.272 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.272 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.272 * [taylor]: Taking taylor expansion of 1/2 in k 69.272 * [backup-simplify]: Simplify 1/2 into 1/2 69.272 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.272 * [taylor]: Taking taylor expansion of 1 in k 69.272 * [backup-simplify]: Simplify 1 into 1 69.272 * [taylor]: Taking taylor expansion of k in k 69.272 * [backup-simplify]: Simplify 0 into 0 69.272 * [backup-simplify]: Simplify 1 into 1 69.272 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.272 * [taylor]: Taking taylor expansion of 2 in k 69.272 * [backup-simplify]: Simplify 2 into 2 69.272 * [taylor]: Taking taylor expansion of (* n PI) in k 69.272 * [taylor]: Taking taylor expansion of n in k 69.272 * [backup-simplify]: Simplify n into n 69.272 * [taylor]: Taking taylor expansion of PI in k 69.272 * [backup-simplify]: Simplify PI into PI 69.272 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.272 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.272 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.273 * [backup-simplify]: Simplify (- 0) into 0 69.273 * [backup-simplify]: Simplify (+ 1 0) into 1 69.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.273 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.273 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.273 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.273 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.273 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.273 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.273 * [taylor]: Taking taylor expansion of 1/2 in n 69.273 * [backup-simplify]: Simplify 1/2 into 1/2 69.273 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.273 * [taylor]: Taking taylor expansion of 1 in n 69.273 * [backup-simplify]: Simplify 1 into 1 69.273 * [taylor]: Taking taylor expansion of k in n 69.273 * [backup-simplify]: Simplify k into k 69.273 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.273 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.274 * [taylor]: Taking taylor expansion of 2 in n 69.274 * [backup-simplify]: Simplify 2 into 2 69.274 * [taylor]: Taking taylor expansion of (* n PI) in n 69.274 * [taylor]: Taking taylor expansion of n in n 69.274 * [backup-simplify]: Simplify 0 into 0 69.274 * [backup-simplify]: Simplify 1 into 1 69.274 * [taylor]: Taking taylor expansion of PI in n 69.274 * [backup-simplify]: Simplify PI into PI 69.274 * [backup-simplify]: Simplify (* 0 PI) into 0 69.274 * [backup-simplify]: Simplify (* 2 0) into 0 69.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.276 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.277 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.277 * [backup-simplify]: Simplify (- k) into (- k) 69.277 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.277 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.278 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.278 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.279 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.279 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.279 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.279 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.279 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.279 * [taylor]: Taking taylor expansion of 1/2 in n 69.279 * [backup-simplify]: Simplify 1/2 into 1/2 69.279 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.279 * [taylor]: Taking taylor expansion of 1 in n 69.279 * [backup-simplify]: Simplify 1 into 1 69.279 * [taylor]: Taking taylor expansion of k in n 69.279 * [backup-simplify]: Simplify k into k 69.279 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.279 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.279 * [taylor]: Taking taylor expansion of 2 in n 69.279 * [backup-simplify]: Simplify 2 into 2 69.279 * [taylor]: Taking taylor expansion of (* n PI) in n 69.279 * [taylor]: Taking taylor expansion of n in n 69.279 * [backup-simplify]: Simplify 0 into 0 69.279 * [backup-simplify]: Simplify 1 into 1 69.279 * [taylor]: Taking taylor expansion of PI in n 69.279 * [backup-simplify]: Simplify PI into PI 69.280 * [backup-simplify]: Simplify (* 0 PI) into 0 69.280 * [backup-simplify]: Simplify (* 2 0) into 0 69.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.282 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.282 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.282 * [backup-simplify]: Simplify (- k) into (- k) 69.282 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.282 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.284 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.284 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.284 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 69.284 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 69.285 * [taylor]: Taking taylor expansion of 1/2 in k 69.285 * [backup-simplify]: Simplify 1/2 into 1/2 69.285 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 69.285 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.285 * [taylor]: Taking taylor expansion of 1 in k 69.285 * [backup-simplify]: Simplify 1 into 1 69.285 * [taylor]: Taking taylor expansion of k in k 69.285 * [backup-simplify]: Simplify 0 into 0 69.285 * [backup-simplify]: Simplify 1 into 1 69.285 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 69.285 * [taylor]: Taking taylor expansion of (log n) in k 69.285 * [taylor]: Taking taylor expansion of n in k 69.285 * [backup-simplify]: Simplify n into n 69.285 * [backup-simplify]: Simplify (log n) into (log n) 69.285 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.285 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.285 * [taylor]: Taking taylor expansion of 2 in k 69.285 * [backup-simplify]: Simplify 2 into 2 69.285 * [taylor]: Taking taylor expansion of PI in k 69.285 * [backup-simplify]: Simplify PI into PI 69.285 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.286 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.286 * [backup-simplify]: Simplify (- 0) into 0 69.286 * [backup-simplify]: Simplify (+ 1 0) into 1 69.287 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.288 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 69.288 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 69.289 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 69.290 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 69.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.292 * [backup-simplify]: Simplify (- 0) into 0 69.292 * [backup-simplify]: Simplify (+ 0 0) into 0 69.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 69.293 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.294 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 69.295 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.295 * [taylor]: Taking taylor expansion of 0 in k 69.295 * [backup-simplify]: Simplify 0 into 0 69.295 * [backup-simplify]: Simplify 0 into 0 69.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 69.296 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.297 * [backup-simplify]: Simplify (+ 0 0) into 0 69.297 * [backup-simplify]: Simplify (- 1) into -1 69.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.299 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 69.300 * [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))))) 69.301 * [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))))))) 69.303 * [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))))))) 69.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 69.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 69.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.307 * [backup-simplify]: Simplify (- 0) into 0 69.307 * [backup-simplify]: Simplify (+ 0 0) into 0 69.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 69.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.309 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.310 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.311 * [taylor]: Taking taylor expansion of 0 in k 69.311 * [backup-simplify]: Simplify 0 into 0 69.311 * [backup-simplify]: Simplify 0 into 0 69.311 * [backup-simplify]: Simplify 0 into 0 69.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 69.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.318 * [backup-simplify]: Simplify (+ 0 0) into 0 69.319 * [backup-simplify]: Simplify (- 0) into 0 69.319 * [backup-simplify]: Simplify (+ 0 0) into 0 69.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 69.324 * [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))))) 69.327 * [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))))) 69.334 * [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))))) 69.334 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 69.335 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 69.335 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 69.335 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 69.335 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 69.335 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.335 * [taylor]: Taking taylor expansion of 1/2 in k 69.335 * [backup-simplify]: Simplify 1/2 into 1/2 69.335 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.335 * [taylor]: Taking taylor expansion of 1 in k 69.335 * [backup-simplify]: Simplify 1 into 1 69.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.335 * [taylor]: Taking taylor expansion of k in k 69.335 * [backup-simplify]: Simplify 0 into 0 69.335 * [backup-simplify]: Simplify 1 into 1 69.335 * [backup-simplify]: Simplify (/ 1 1) into 1 69.335 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 69.335 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 69.335 * [taylor]: Taking taylor expansion of 2 in k 69.335 * [backup-simplify]: Simplify 2 into 2 69.335 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.335 * [taylor]: Taking taylor expansion of PI in k 69.335 * [backup-simplify]: Simplify PI into PI 69.335 * [taylor]: Taking taylor expansion of n in k 69.335 * [backup-simplify]: Simplify n into n 69.336 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.336 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 69.336 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 69.336 * [backup-simplify]: Simplify (- 1) into -1 69.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.337 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.337 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 69.337 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 69.337 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 69.337 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 69.337 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 69.337 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.337 * [taylor]: Taking taylor expansion of 1/2 in n 69.337 * [backup-simplify]: Simplify 1/2 into 1/2 69.337 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.337 * [taylor]: Taking taylor expansion of 1 in n 69.338 * [backup-simplify]: Simplify 1 into 1 69.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.338 * [taylor]: Taking taylor expansion of k in n 69.338 * [backup-simplify]: Simplify k into k 69.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.338 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.338 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.338 * [taylor]: Taking taylor expansion of 2 in n 69.338 * [backup-simplify]: Simplify 2 into 2 69.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.338 * [taylor]: Taking taylor expansion of PI in n 69.338 * [backup-simplify]: Simplify PI into PI 69.338 * [taylor]: Taking taylor expansion of n in n 69.338 * [backup-simplify]: Simplify 0 into 0 69.338 * [backup-simplify]: Simplify 1 into 1 69.338 * [backup-simplify]: Simplify (/ PI 1) into PI 69.339 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.340 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.340 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.340 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.341 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.342 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.344 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 69.344 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 69.344 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 69.344 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 69.344 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.344 * [taylor]: Taking taylor expansion of 1/2 in n 69.344 * [backup-simplify]: Simplify 1/2 into 1/2 69.344 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.344 * [taylor]: Taking taylor expansion of 1 in n 69.344 * [backup-simplify]: Simplify 1 into 1 69.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.344 * [taylor]: Taking taylor expansion of k in n 69.344 * [backup-simplify]: Simplify k into k 69.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.344 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.344 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.344 * [taylor]: Taking taylor expansion of 2 in n 69.344 * [backup-simplify]: Simplify 2 into 2 69.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.344 * [taylor]: Taking taylor expansion of PI in n 69.344 * [backup-simplify]: Simplify PI into PI 69.344 * [taylor]: Taking taylor expansion of n in n 69.344 * [backup-simplify]: Simplify 0 into 0 69.344 * [backup-simplify]: Simplify 1 into 1 69.345 * [backup-simplify]: Simplify (/ PI 1) into PI 69.345 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.346 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.346 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.346 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.347 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.349 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.350 * [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))))) 69.350 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 69.350 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 69.350 * [taylor]: Taking taylor expansion of 1/2 in k 69.350 * [backup-simplify]: Simplify 1/2 into 1/2 69.350 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 69.350 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.350 * [taylor]: Taking taylor expansion of 1 in k 69.350 * [backup-simplify]: Simplify 1 into 1 69.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.350 * [taylor]: Taking taylor expansion of k in k 69.351 * [backup-simplify]: Simplify 0 into 0 69.351 * [backup-simplify]: Simplify 1 into 1 69.351 * [backup-simplify]: Simplify (/ 1 1) into 1 69.351 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 69.351 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.351 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.351 * [taylor]: Taking taylor expansion of 2 in k 69.351 * [backup-simplify]: Simplify 2 into 2 69.351 * [taylor]: Taking taylor expansion of PI in k 69.351 * [backup-simplify]: Simplify PI into PI 69.352 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.353 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.353 * [taylor]: Taking taylor expansion of (log n) in k 69.353 * [taylor]: Taking taylor expansion of n in k 69.353 * [backup-simplify]: Simplify n into n 69.353 * [backup-simplify]: Simplify (log n) into (log n) 69.353 * [backup-simplify]: Simplify (- 1) into -1 69.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.354 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 69.355 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 69.355 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 69.357 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 69.358 * [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))))) 69.359 * [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))))) 69.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.360 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.363 * [backup-simplify]: Simplify (- 0) into 0 69.363 * [backup-simplify]: Simplify (+ 0 0) into 0 69.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 69.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.366 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 69.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.367 * [taylor]: Taking taylor expansion of 0 in k 69.367 * [backup-simplify]: Simplify 0 into 0 69.367 * [backup-simplify]: Simplify 0 into 0 69.367 * [backup-simplify]: Simplify 0 into 0 69.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.371 * [backup-simplify]: Simplify (- 0) into 0 69.371 * [backup-simplify]: Simplify (+ 0 0) into 0 69.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 69.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.373 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 69.375 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.375 * [taylor]: Taking taylor expansion of 0 in k 69.375 * [backup-simplify]: Simplify 0 into 0 69.375 * [backup-simplify]: Simplify 0 into 0 69.375 * [backup-simplify]: Simplify 0 into 0 69.375 * [backup-simplify]: Simplify 0 into 0 69.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.379 * [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 69.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.380 * [backup-simplify]: Simplify (- 0) into 0 69.380 * [backup-simplify]: Simplify (+ 0 0) into 0 69.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 69.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.383 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 69.384 * [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 69.384 * [taylor]: Taking taylor expansion of 0 in k 69.384 * [backup-simplify]: Simplify 0 into 0 69.384 * [backup-simplify]: Simplify 0 into 0 69.385 * [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)))))) 69.386 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 69.386 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 69.386 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 69.386 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 69.386 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 69.386 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.386 * [taylor]: Taking taylor expansion of 1/2 in k 69.386 * [backup-simplify]: Simplify 1/2 into 1/2 69.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.386 * [taylor]: Taking taylor expansion of k in k 69.386 * [backup-simplify]: Simplify 0 into 0 69.386 * [backup-simplify]: Simplify 1 into 1 69.386 * [backup-simplify]: Simplify (/ 1 1) into 1 69.386 * [taylor]: Taking taylor expansion of 1 in k 69.386 * [backup-simplify]: Simplify 1 into 1 69.386 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 69.386 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 69.386 * [taylor]: Taking taylor expansion of -2 in k 69.386 * [backup-simplify]: Simplify -2 into -2 69.386 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.386 * [taylor]: Taking taylor expansion of PI in k 69.386 * [backup-simplify]: Simplify PI into PI 69.386 * [taylor]: Taking taylor expansion of n in k 69.386 * [backup-simplify]: Simplify n into n 69.386 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.386 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 69.386 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 69.387 * [backup-simplify]: Simplify (+ 1 0) into 1 69.387 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.387 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 69.387 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 69.387 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 69.387 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 69.387 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 69.387 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.387 * [taylor]: Taking taylor expansion of 1/2 in n 69.387 * [backup-simplify]: Simplify 1/2 into 1/2 69.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.387 * [taylor]: Taking taylor expansion of k in n 69.387 * [backup-simplify]: Simplify k into k 69.387 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.387 * [taylor]: Taking taylor expansion of 1 in n 69.387 * [backup-simplify]: Simplify 1 into 1 69.387 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.387 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.387 * [taylor]: Taking taylor expansion of -2 in n 69.387 * [backup-simplify]: Simplify -2 into -2 69.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.387 * [taylor]: Taking taylor expansion of PI in n 69.387 * [backup-simplify]: Simplify PI into PI 69.387 * [taylor]: Taking taylor expansion of n in n 69.388 * [backup-simplify]: Simplify 0 into 0 69.388 * [backup-simplify]: Simplify 1 into 1 69.388 * [backup-simplify]: Simplify (/ PI 1) into PI 69.388 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.389 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.389 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.389 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.391 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.391 * [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))))) 69.391 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 69.391 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 69.391 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 69.391 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.391 * [taylor]: Taking taylor expansion of 1/2 in n 69.391 * [backup-simplify]: Simplify 1/2 into 1/2 69.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.391 * [taylor]: Taking taylor expansion of k in n 69.391 * [backup-simplify]: Simplify k into k 69.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.391 * [taylor]: Taking taylor expansion of 1 in n 69.391 * [backup-simplify]: Simplify 1 into 1 69.391 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.391 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.391 * [taylor]: Taking taylor expansion of -2 in n 69.391 * [backup-simplify]: Simplify -2 into -2 69.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.392 * [taylor]: Taking taylor expansion of PI in n 69.392 * [backup-simplify]: Simplify PI into PI 69.392 * [taylor]: Taking taylor expansion of n in n 69.392 * [backup-simplify]: Simplify 0 into 0 69.392 * [backup-simplify]: Simplify 1 into 1 69.392 * [backup-simplify]: Simplify (/ PI 1) into PI 69.392 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.393 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.393 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.393 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.394 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.395 * [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))))) 69.395 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 69.395 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 69.395 * [taylor]: Taking taylor expansion of 1/2 in k 69.395 * [backup-simplify]: Simplify 1/2 into 1/2 69.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 69.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.395 * [taylor]: Taking taylor expansion of k in k 69.395 * [backup-simplify]: Simplify 0 into 0 69.395 * [backup-simplify]: Simplify 1 into 1 69.396 * [backup-simplify]: Simplify (/ 1 1) into 1 69.396 * [taylor]: Taking taylor expansion of 1 in k 69.396 * [backup-simplify]: Simplify 1 into 1 69.396 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 69.396 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 69.396 * [taylor]: Taking taylor expansion of (* -2 PI) in k 69.396 * [taylor]: Taking taylor expansion of -2 in k 69.396 * [backup-simplify]: Simplify -2 into -2 69.396 * [taylor]: Taking taylor expansion of PI in k 69.396 * [backup-simplify]: Simplify PI into PI 69.396 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.397 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.397 * [taylor]: Taking taylor expansion of (log n) in k 69.397 * [taylor]: Taking taylor expansion of n in k 69.397 * [backup-simplify]: Simplify n into n 69.397 * [backup-simplify]: Simplify (log n) into (log n) 69.397 * [backup-simplify]: Simplify (+ 1 0) into 1 69.397 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 69.397 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 69.398 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 69.399 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 69.399 * [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))))) 69.400 * [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))))) 69.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.401 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 69.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 69.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.402 * [backup-simplify]: Simplify (+ 0 0) into 0 69.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 69.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.404 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 69.405 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.405 * [taylor]: Taking taylor expansion of 0 in k 69.405 * [backup-simplify]: Simplify 0 into 0 69.405 * [backup-simplify]: Simplify 0 into 0 69.405 * [backup-simplify]: Simplify 0 into 0 69.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.407 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 69.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 69.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.409 * [backup-simplify]: Simplify (+ 0 0) into 0 69.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 69.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.411 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 69.413 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.413 * [taylor]: Taking taylor expansion of 0 in k 69.413 * [backup-simplify]: Simplify 0 into 0 69.413 * [backup-simplify]: Simplify 0 into 0 69.413 * [backup-simplify]: Simplify 0 into 0 69.413 * [backup-simplify]: Simplify 0 into 0 69.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.414 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.419 * [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 69.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.420 * [backup-simplify]: Simplify (+ 0 0) into 0 69.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 69.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.423 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 69.424 * [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 69.424 * [taylor]: Taking taylor expansion of 0 in k 69.424 * [backup-simplify]: Simplify 0 into 0 69.424 * [backup-simplify]: Simplify 0 into 0 69.425 * [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)))))) 69.425 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 69.425 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 69.425 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 69.425 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.425 * [taylor]: Taking taylor expansion of 2 in n 69.425 * [backup-simplify]: Simplify 2 into 2 69.425 * [taylor]: Taking taylor expansion of (* n PI) in n 69.425 * [taylor]: Taking taylor expansion of n in n 69.425 * [backup-simplify]: Simplify 0 into 0 69.425 * [backup-simplify]: Simplify 1 into 1 69.425 * [taylor]: Taking taylor expansion of PI in n 69.425 * [backup-simplify]: Simplify PI into PI 69.425 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.425 * [taylor]: Taking taylor expansion of 2 in n 69.425 * [backup-simplify]: Simplify 2 into 2 69.425 * [taylor]: Taking taylor expansion of (* n PI) in n 69.425 * [taylor]: Taking taylor expansion of n in n 69.425 * [backup-simplify]: Simplify 0 into 0 69.426 * [backup-simplify]: Simplify 1 into 1 69.426 * [taylor]: Taking taylor expansion of PI in n 69.426 * [backup-simplify]: Simplify PI into PI 69.426 * [backup-simplify]: Simplify (* 0 PI) into 0 69.426 * [backup-simplify]: Simplify (* 2 0) into 0 69.426 * [backup-simplify]: Simplify 0 into 0 69.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.428 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.428 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.429 * [backup-simplify]: Simplify 0 into 0 69.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 69.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 69.432 * [backup-simplify]: Simplify 0 into 0 69.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 69.434 * [backup-simplify]: Simplify 0 into 0 69.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 69.437 * [backup-simplify]: Simplify 0 into 0 69.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 69.441 * [backup-simplify]: Simplify 0 into 0 69.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 69.444 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 69.445 * [backup-simplify]: Simplify 0 into 0 69.445 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 69.446 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 69.446 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 69.446 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.446 * [taylor]: Taking taylor expansion of 2 in n 69.446 * [backup-simplify]: Simplify 2 into 2 69.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.446 * [taylor]: Taking taylor expansion of PI in n 69.446 * [backup-simplify]: Simplify PI into PI 69.446 * [taylor]: Taking taylor expansion of n in n 69.446 * [backup-simplify]: Simplify 0 into 0 69.446 * [backup-simplify]: Simplify 1 into 1 69.446 * [backup-simplify]: Simplify (/ PI 1) into PI 69.446 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.446 * [taylor]: Taking taylor expansion of 2 in n 69.446 * [backup-simplify]: Simplify 2 into 2 69.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.446 * [taylor]: Taking taylor expansion of PI in n 69.446 * [backup-simplify]: Simplify PI into PI 69.447 * [taylor]: Taking taylor expansion of n in n 69.447 * [backup-simplify]: Simplify 0 into 0 69.447 * [backup-simplify]: Simplify 1 into 1 69.447 * [backup-simplify]: Simplify (/ PI 1) into PI 69.448 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.448 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.450 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.450 * [backup-simplify]: Simplify 0 into 0 69.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.452 * [backup-simplify]: Simplify 0 into 0 69.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.454 * [backup-simplify]: Simplify 0 into 0 69.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.456 * [backup-simplify]: Simplify 0 into 0 69.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.459 * [backup-simplify]: Simplify 0 into 0 69.460 * [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 69.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.461 * [backup-simplify]: Simplify 0 into 0 69.462 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 69.463 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 69.463 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 69.463 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.463 * [taylor]: Taking taylor expansion of -2 in n 69.463 * [backup-simplify]: Simplify -2 into -2 69.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.463 * [taylor]: Taking taylor expansion of PI in n 69.463 * [backup-simplify]: Simplify PI into PI 69.463 * [taylor]: Taking taylor expansion of n in n 69.463 * [backup-simplify]: Simplify 0 into 0 69.463 * [backup-simplify]: Simplify 1 into 1 69.463 * [backup-simplify]: Simplify (/ PI 1) into PI 69.463 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.463 * [taylor]: Taking taylor expansion of -2 in n 69.463 * [backup-simplify]: Simplify -2 into -2 69.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.463 * [taylor]: Taking taylor expansion of PI in n 69.463 * [backup-simplify]: Simplify PI into PI 69.463 * [taylor]: Taking taylor expansion of n in n 69.463 * [backup-simplify]: Simplify 0 into 0 69.463 * [backup-simplify]: Simplify 1 into 1 69.464 * [backup-simplify]: Simplify (/ PI 1) into PI 69.464 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.465 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.467 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 69.467 * [backup-simplify]: Simplify 0 into 0 69.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.469 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 69.469 * [backup-simplify]: Simplify 0 into 0 69.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.471 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.471 * [backup-simplify]: Simplify 0 into 0 69.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.473 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 69.473 * [backup-simplify]: Simplify 0 into 0 69.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.476 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 69.476 * [backup-simplify]: Simplify 0 into 0 69.477 * [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 69.479 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 69.479 * [backup-simplify]: Simplify 0 into 0 69.479 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 69.479 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 69.480 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 69.480 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 69.480 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 69.480 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 69.480 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.480 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.480 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.480 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.480 * [taylor]: Taking taylor expansion of 1/2 in n 69.480 * [backup-simplify]: Simplify 1/2 into 1/2 69.480 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.481 * [taylor]: Taking taylor expansion of 1 in n 69.481 * [backup-simplify]: Simplify 1 into 1 69.481 * [taylor]: Taking taylor expansion of k in n 69.481 * [backup-simplify]: Simplify k into k 69.481 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.481 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.481 * [taylor]: Taking taylor expansion of 2 in n 69.481 * [backup-simplify]: Simplify 2 into 2 69.481 * [taylor]: Taking taylor expansion of (* n PI) in n 69.481 * [taylor]: Taking taylor expansion of n in n 69.481 * [backup-simplify]: Simplify 0 into 0 69.481 * [backup-simplify]: Simplify 1 into 1 69.481 * [taylor]: Taking taylor expansion of PI in n 69.481 * [backup-simplify]: Simplify PI into PI 69.482 * [backup-simplify]: Simplify (* 0 PI) into 0 69.482 * [backup-simplify]: Simplify (* 2 0) into 0 69.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.485 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.486 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.486 * [backup-simplify]: Simplify (- k) into (- k) 69.486 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.486 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.487 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.488 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.490 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.491 * [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))))))) 69.491 * [taylor]: Taking taylor expansion of (sqrt k) in n 69.491 * [taylor]: Taking taylor expansion of k in n 69.491 * [backup-simplify]: Simplify k into k 69.491 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 69.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 69.491 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.491 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 69.491 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.491 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.491 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.491 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.491 * [taylor]: Taking taylor expansion of 1/2 in k 69.491 * [backup-simplify]: Simplify 1/2 into 1/2 69.491 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.491 * [taylor]: Taking taylor expansion of 1 in k 69.491 * [backup-simplify]: Simplify 1 into 1 69.492 * [taylor]: Taking taylor expansion of k in k 69.492 * [backup-simplify]: Simplify 0 into 0 69.492 * [backup-simplify]: Simplify 1 into 1 69.492 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.492 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.492 * [taylor]: Taking taylor expansion of 2 in k 69.492 * [backup-simplify]: Simplify 2 into 2 69.492 * [taylor]: Taking taylor expansion of (* n PI) in k 69.492 * [taylor]: Taking taylor expansion of n in k 69.492 * [backup-simplify]: Simplify n into n 69.492 * [taylor]: Taking taylor expansion of PI in k 69.492 * [backup-simplify]: Simplify PI into PI 69.492 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.492 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.492 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.492 * [backup-simplify]: Simplify (- 0) into 0 69.493 * [backup-simplify]: Simplify (+ 1 0) into 1 69.493 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.493 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.494 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.494 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 69.494 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.494 * [taylor]: Taking taylor expansion of k in k 69.494 * [backup-simplify]: Simplify 0 into 0 69.494 * [backup-simplify]: Simplify 1 into 1 69.494 * [backup-simplify]: Simplify (sqrt 0) into 0 69.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.496 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.496 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 69.496 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.496 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.496 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.496 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.496 * [taylor]: Taking taylor expansion of 1/2 in k 69.496 * [backup-simplify]: Simplify 1/2 into 1/2 69.496 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.496 * [taylor]: Taking taylor expansion of 1 in k 69.496 * [backup-simplify]: Simplify 1 into 1 69.496 * [taylor]: Taking taylor expansion of k in k 69.496 * [backup-simplify]: Simplify 0 into 0 69.496 * [backup-simplify]: Simplify 1 into 1 69.496 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.496 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.496 * [taylor]: Taking taylor expansion of 2 in k 69.496 * [backup-simplify]: Simplify 2 into 2 69.496 * [taylor]: Taking taylor expansion of (* n PI) in k 69.496 * [taylor]: Taking taylor expansion of n in k 69.496 * [backup-simplify]: Simplify n into n 69.496 * [taylor]: Taking taylor expansion of PI in k 69.496 * [backup-simplify]: Simplify PI into PI 69.496 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.497 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.497 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.497 * [backup-simplify]: Simplify (- 0) into 0 69.497 * [backup-simplify]: Simplify (+ 1 0) into 1 69.498 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.498 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.498 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.498 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 69.498 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.498 * [taylor]: Taking taylor expansion of k in k 69.498 * [backup-simplify]: Simplify 0 into 0 69.498 * [backup-simplify]: Simplify 1 into 1 69.499 * [backup-simplify]: Simplify (sqrt 0) into 0 69.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.500 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 69.500 * [taylor]: Taking taylor expansion of 0 in n 69.500 * [backup-simplify]: Simplify 0 into 0 69.500 * [backup-simplify]: Simplify 0 into 0 69.501 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 69.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 69.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 69.503 * [backup-simplify]: Simplify (- 1) into -1 69.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.504 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 69.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 69.505 * [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))))) 69.506 * [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))))) 69.507 * [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)))) 69.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 69.507 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 69.507 * [taylor]: Taking taylor expansion of +nan.0 in n 69.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.507 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 69.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 69.508 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 69.508 * [taylor]: Taking taylor expansion of (* n PI) in n 69.508 * [taylor]: Taking taylor expansion of n in n 69.508 * [backup-simplify]: Simplify 0 into 0 69.508 * [backup-simplify]: Simplify 1 into 1 69.508 * [taylor]: Taking taylor expansion of PI in n 69.508 * [backup-simplify]: Simplify PI into PI 69.508 * [backup-simplify]: Simplify (* 0 PI) into 0 69.510 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.510 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 69.510 * [backup-simplify]: Simplify (sqrt 0) into 0 69.512 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 69.513 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 69.513 * [taylor]: Taking taylor expansion of 1/2 in n 69.513 * [backup-simplify]: Simplify 1/2 into 1/2 69.513 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 69.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 69.517 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.517 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 69.523 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.526 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.529 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.529 * [backup-simplify]: Simplify 0 into 0 69.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.533 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 69.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 69.535 * [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 69.536 * [backup-simplify]: Simplify (- 0) into 0 69.536 * [backup-simplify]: Simplify (+ 0 0) into 0 69.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 69.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 69.539 * [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))) 69.542 * [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)))))) 69.548 * [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)))))) 69.548 * [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 69.548 * [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 69.548 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 69.548 * [taylor]: Taking taylor expansion of +nan.0 in n 69.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.548 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 69.548 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 69.548 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.548 * [taylor]: Taking taylor expansion of 2 in n 69.548 * [backup-simplify]: Simplify 2 into 2 69.549 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.549 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 69.549 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.549 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.549 * [taylor]: Taking taylor expansion of 2 in n 69.549 * [backup-simplify]: Simplify 2 into 2 69.549 * [taylor]: Taking taylor expansion of (* n PI) in n 69.549 * [taylor]: Taking taylor expansion of n in n 69.549 * [backup-simplify]: Simplify 0 into 0 69.549 * [backup-simplify]: Simplify 1 into 1 69.549 * [taylor]: Taking taylor expansion of PI in n 69.549 * [backup-simplify]: Simplify PI into PI 69.550 * [backup-simplify]: Simplify (* 0 PI) into 0 69.550 * [backup-simplify]: Simplify (* 2 0) into 0 69.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.555 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.556 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.556 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 69.556 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 69.556 * [taylor]: Taking taylor expansion of 1/2 in n 69.556 * [backup-simplify]: Simplify 1/2 into 1/2 69.557 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 69.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 69.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 69.558 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 69.558 * [taylor]: Taking taylor expansion of (* n PI) in n 69.558 * [taylor]: Taking taylor expansion of n in n 69.558 * [backup-simplify]: Simplify 0 into 0 69.558 * [backup-simplify]: Simplify 1 into 1 69.558 * [taylor]: Taking taylor expansion of PI in n 69.558 * [backup-simplify]: Simplify PI into PI 69.558 * [backup-simplify]: Simplify (* 0 PI) into 0 69.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.560 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 69.560 * [backup-simplify]: Simplify (sqrt 0) into 0 69.562 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 69.562 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 69.562 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 69.562 * [taylor]: Taking taylor expansion of +nan.0 in n 69.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.563 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 69.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 69.563 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 69.563 * [taylor]: Taking taylor expansion of (* n PI) in n 69.563 * [taylor]: Taking taylor expansion of n in n 69.563 * [backup-simplify]: Simplify 0 into 0 69.563 * [backup-simplify]: Simplify 1 into 1 69.563 * [taylor]: Taking taylor expansion of PI in n 69.563 * [backup-simplify]: Simplify PI into PI 69.563 * [backup-simplify]: Simplify (* 0 PI) into 0 69.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.565 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 69.565 * [backup-simplify]: Simplify (sqrt 0) into 0 69.567 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 69.567 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 69.567 * [taylor]: Taking taylor expansion of 1/2 in n 69.567 * [backup-simplify]: Simplify 1/2 into 1/2 69.568 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 69.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 69.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.571 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 69.573 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 69.575 * [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))))) 69.577 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.577 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 69.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.582 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.583 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 69.586 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 69.589 * [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))))) 69.591 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 69.603 * [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))))) 69.605 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.606 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 69.611 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.614 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 69.628 * [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))))))) 69.647 * [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))))))) 69.665 * [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))))))) 69.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 69.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 69.672 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 69.678 * [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)))) 69.687 * [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)))) 69.695 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 69.698 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 69.724 * [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))))))))))) 69.725 * [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))) 69.725 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 69.725 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 69.725 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 69.725 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 69.725 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 69.725 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 69.725 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.725 * [taylor]: Taking taylor expansion of 1/2 in n 69.725 * [backup-simplify]: Simplify 1/2 into 1/2 69.725 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.725 * [taylor]: Taking taylor expansion of 1 in n 69.725 * [backup-simplify]: Simplify 1 into 1 69.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.725 * [taylor]: Taking taylor expansion of k in n 69.725 * [backup-simplify]: Simplify k into k 69.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.725 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.725 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.725 * [taylor]: Taking taylor expansion of 2 in n 69.725 * [backup-simplify]: Simplify 2 into 2 69.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.725 * [taylor]: Taking taylor expansion of PI in n 69.725 * [backup-simplify]: Simplify PI into PI 69.725 * [taylor]: Taking taylor expansion of n in n 69.725 * [backup-simplify]: Simplify 0 into 0 69.726 * [backup-simplify]: Simplify 1 into 1 69.726 * [backup-simplify]: Simplify (/ PI 1) into PI 69.726 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.727 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.727 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.728 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.728 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.730 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.731 * [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))))) 69.732 * [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)))))) 69.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 69.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.732 * [taylor]: Taking taylor expansion of k in n 69.732 * [backup-simplify]: Simplify k into k 69.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.732 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 69.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 69.733 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 69.733 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 69.733 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 69.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 69.733 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 69.733 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.733 * [taylor]: Taking taylor expansion of 1/2 in k 69.733 * [backup-simplify]: Simplify 1/2 into 1/2 69.733 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.733 * [taylor]: Taking taylor expansion of 1 in k 69.733 * [backup-simplify]: Simplify 1 into 1 69.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.733 * [taylor]: Taking taylor expansion of k in k 69.733 * [backup-simplify]: Simplify 0 into 0 69.733 * [backup-simplify]: Simplify 1 into 1 69.733 * [backup-simplify]: Simplify (/ 1 1) into 1 69.733 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 69.733 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 69.733 * [taylor]: Taking taylor expansion of 2 in k 69.733 * [backup-simplify]: Simplify 2 into 2 69.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.733 * [taylor]: Taking taylor expansion of PI in k 69.733 * [backup-simplify]: Simplify PI into PI 69.733 * [taylor]: Taking taylor expansion of n in k 69.734 * [backup-simplify]: Simplify n into n 69.734 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.734 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 69.734 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 69.734 * [backup-simplify]: Simplify (- 1) into -1 69.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.735 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.735 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 69.735 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 69.735 * [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))))))) 69.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.736 * [taylor]: Taking taylor expansion of k in k 69.736 * [backup-simplify]: Simplify 0 into 0 69.736 * [backup-simplify]: Simplify 1 into 1 69.736 * [backup-simplify]: Simplify (/ 1 1) into 1 69.736 * [backup-simplify]: Simplify (sqrt 0) into 0 69.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.738 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 69.738 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 69.738 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 69.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 69.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 69.738 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.738 * [taylor]: Taking taylor expansion of 1/2 in k 69.738 * [backup-simplify]: Simplify 1/2 into 1/2 69.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.738 * [taylor]: Taking taylor expansion of 1 in k 69.738 * [backup-simplify]: Simplify 1 into 1 69.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.738 * [taylor]: Taking taylor expansion of k in k 69.738 * [backup-simplify]: Simplify 0 into 0 69.738 * [backup-simplify]: Simplify 1 into 1 69.739 * [backup-simplify]: Simplify (/ 1 1) into 1 69.739 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 69.739 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 69.739 * [taylor]: Taking taylor expansion of 2 in k 69.739 * [backup-simplify]: Simplify 2 into 2 69.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.739 * [taylor]: Taking taylor expansion of PI in k 69.739 * [backup-simplify]: Simplify PI into PI 69.739 * [taylor]: Taking taylor expansion of n in k 69.739 * [backup-simplify]: Simplify n into n 69.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.739 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 69.739 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 69.739 * [backup-simplify]: Simplify (- 1) into -1 69.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.740 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.740 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 69.741 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 69.741 * [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))))))) 69.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.741 * [taylor]: Taking taylor expansion of k in k 69.741 * [backup-simplify]: Simplify 0 into 0 69.741 * [backup-simplify]: Simplify 1 into 1 69.741 * [backup-simplify]: Simplify (/ 1 1) into 1 69.742 * [backup-simplify]: Simplify (sqrt 0) into 0 69.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.744 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 69.744 * [taylor]: Taking taylor expansion of 0 in n 69.744 * [backup-simplify]: Simplify 0 into 0 69.744 * [backup-simplify]: Simplify 0 into 0 69.744 * [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 69.745 * [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))))))))) 69.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 69.745 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 69.745 * [taylor]: Taking taylor expansion of +nan.0 in n 69.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.745 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 69.745 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 69.745 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 69.745 * [taylor]: Taking taylor expansion of 1/2 in n 69.745 * [backup-simplify]: Simplify 1/2 into 1/2 69.745 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 69.745 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.745 * [taylor]: Taking taylor expansion of 1 in n 69.745 * [backup-simplify]: Simplify 1 into 1 69.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.745 * [taylor]: Taking taylor expansion of k in n 69.745 * [backup-simplify]: Simplify k into k 69.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.745 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.745 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.745 * [taylor]: Taking taylor expansion of 2 in n 69.745 * [backup-simplify]: Simplify 2 into 2 69.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.745 * [taylor]: Taking taylor expansion of PI in n 69.745 * [backup-simplify]: Simplify PI into PI 69.745 * [taylor]: Taking taylor expansion of n in n 69.745 * [backup-simplify]: Simplify 0 into 0 69.745 * [backup-simplify]: Simplify 1 into 1 69.746 * [backup-simplify]: Simplify (/ PI 1) into PI 69.746 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.747 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.747 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.747 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.750 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 69.751 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.752 * [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))))) 69.753 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 69.754 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 69.756 * [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)))))))) 69.757 * [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)))))))) 69.757 * [backup-simplify]: Simplify 0 into 0 69.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 69.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.761 * [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 69.762 * [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))))))))) 69.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 69.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 69.763 * [taylor]: Taking taylor expansion of +nan.0 in n 69.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.763 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 69.763 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 69.763 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 69.763 * [taylor]: Taking taylor expansion of 1/2 in n 69.763 * [backup-simplify]: Simplify 1/2 into 1/2 69.763 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 69.763 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.763 * [taylor]: Taking taylor expansion of 1 in n 69.763 * [backup-simplify]: Simplify 1 into 1 69.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.763 * [taylor]: Taking taylor expansion of k in n 69.763 * [backup-simplify]: Simplify k into k 69.763 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.763 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.763 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.763 * [taylor]: Taking taylor expansion of 2 in n 69.763 * [backup-simplify]: Simplify 2 into 2 69.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.763 * [taylor]: Taking taylor expansion of PI in n 69.763 * [backup-simplify]: Simplify PI into PI 69.763 * [taylor]: Taking taylor expansion of n in n 69.763 * [backup-simplify]: Simplify 0 into 0 69.763 * [backup-simplify]: Simplify 1 into 1 69.764 * [backup-simplify]: Simplify (/ PI 1) into PI 69.764 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.765 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.765 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.768 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 69.769 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.770 * [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))))) 69.771 * [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)))))) 69.772 * [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)))))) 69.773 * [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)))))))) 69.774 * [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)))))))) 69.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.776 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.779 * [backup-simplify]: Simplify (- 0) into 0 69.779 * [backup-simplify]: Simplify (+ 0 0) into 0 69.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.782 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 69.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 69.785 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.787 * [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 69.789 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 69.789 * [backup-simplify]: Simplify (- 0) into 0 69.789 * [backup-simplify]: Simplify 0 into 0 69.789 * [backup-simplify]: Simplify 0 into 0 69.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.796 * [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 69.797 * [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))))))))) 69.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 69.797 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 69.797 * [taylor]: Taking taylor expansion of +nan.0 in n 69.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.797 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 69.797 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 69.797 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 69.797 * [taylor]: Taking taylor expansion of 1/2 in n 69.797 * [backup-simplify]: Simplify 1/2 into 1/2 69.797 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 69.797 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.797 * [taylor]: Taking taylor expansion of 1 in n 69.797 * [backup-simplify]: Simplify 1 into 1 69.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.797 * [taylor]: Taking taylor expansion of k in n 69.797 * [backup-simplify]: Simplify k into k 69.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.797 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 69.797 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 69.797 * [taylor]: Taking taylor expansion of 2 in n 69.798 * [backup-simplify]: Simplify 2 into 2 69.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.798 * [taylor]: Taking taylor expansion of PI in n 69.798 * [backup-simplify]: Simplify PI into PI 69.798 * [taylor]: Taking taylor expansion of n in n 69.798 * [backup-simplify]: Simplify 0 into 0 69.798 * [backup-simplify]: Simplify 1 into 1 69.798 * [backup-simplify]: Simplify (/ PI 1) into PI 69.799 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.800 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.800 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.800 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 69.802 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 69.803 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 69.804 * [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))))) 69.806 * [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)))))) 69.807 * [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)))))) 69.808 * [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)))))))) 69.809 * [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)))))))) 69.813 * [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)))))))) 69.814 * [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)))) 69.814 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 69.814 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 69.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 69.814 * [taylor]: Taking taylor expansion of (/ -1 k) in n 69.814 * [taylor]: Taking taylor expansion of -1 in n 69.814 * [backup-simplify]: Simplify -1 into -1 69.814 * [taylor]: Taking taylor expansion of k in n 69.814 * [backup-simplify]: Simplify k into k 69.814 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 69.814 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 69.814 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 69.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 69.815 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 69.815 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 69.815 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 69.815 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.815 * [taylor]: Taking taylor expansion of 1/2 in n 69.815 * [backup-simplify]: Simplify 1/2 into 1/2 69.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.815 * [taylor]: Taking taylor expansion of k in n 69.815 * [backup-simplify]: Simplify k into k 69.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.815 * [taylor]: Taking taylor expansion of 1 in n 69.815 * [backup-simplify]: Simplify 1 into 1 69.815 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.815 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.815 * [taylor]: Taking taylor expansion of -2 in n 69.815 * [backup-simplify]: Simplify -2 into -2 69.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.815 * [taylor]: Taking taylor expansion of PI in n 69.815 * [backup-simplify]: Simplify PI into PI 69.815 * [taylor]: Taking taylor expansion of n in n 69.815 * [backup-simplify]: Simplify 0 into 0 69.815 * [backup-simplify]: Simplify 1 into 1 69.816 * [backup-simplify]: Simplify (/ PI 1) into PI 69.816 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.817 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.820 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.821 * [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))))) 69.822 * [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)))))) 69.822 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 69.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 69.822 * [taylor]: Taking taylor expansion of (/ -1 k) in k 69.822 * [taylor]: Taking taylor expansion of -1 in k 69.822 * [backup-simplify]: Simplify -1 into -1 69.822 * [taylor]: Taking taylor expansion of k in k 69.822 * [backup-simplify]: Simplify 0 into 0 69.822 * [backup-simplify]: Simplify 1 into 1 69.823 * [backup-simplify]: Simplify (/ -1 1) into -1 69.823 * [backup-simplify]: Simplify (sqrt 0) into 0 69.824 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 69.824 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 69.824 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 69.825 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 69.825 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.825 * [taylor]: Taking taylor expansion of 1/2 in k 69.825 * [backup-simplify]: Simplify 1/2 into 1/2 69.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.825 * [taylor]: Taking taylor expansion of k in k 69.825 * [backup-simplify]: Simplify 0 into 0 69.825 * [backup-simplify]: Simplify 1 into 1 69.825 * [backup-simplify]: Simplify (/ 1 1) into 1 69.825 * [taylor]: Taking taylor expansion of 1 in k 69.825 * [backup-simplify]: Simplify 1 into 1 69.825 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 69.825 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 69.825 * [taylor]: Taking taylor expansion of -2 in k 69.825 * [backup-simplify]: Simplify -2 into -2 69.825 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.825 * [taylor]: Taking taylor expansion of PI in k 69.825 * [backup-simplify]: Simplify PI into PI 69.825 * [taylor]: Taking taylor expansion of n in k 69.825 * [backup-simplify]: Simplify n into n 69.825 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.826 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 69.826 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 69.826 * [backup-simplify]: Simplify (+ 1 0) into 1 69.826 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.827 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 69.827 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 69.827 * [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))))) 69.827 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 69.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 69.827 * [taylor]: Taking taylor expansion of (/ -1 k) in k 69.827 * [taylor]: Taking taylor expansion of -1 in k 69.827 * [backup-simplify]: Simplify -1 into -1 69.827 * [taylor]: Taking taylor expansion of k in k 69.827 * [backup-simplify]: Simplify 0 into 0 69.827 * [backup-simplify]: Simplify 1 into 1 69.828 * [backup-simplify]: Simplify (/ -1 1) into -1 69.830 * [backup-simplify]: Simplify (sqrt 0) into 0 69.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 69.831 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 69.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 69.832 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 69.832 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.832 * [taylor]: Taking taylor expansion of 1/2 in k 69.832 * [backup-simplify]: Simplify 1/2 into 1/2 69.832 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.832 * [taylor]: Taking taylor expansion of k in k 69.832 * [backup-simplify]: Simplify 0 into 0 69.832 * [backup-simplify]: Simplify 1 into 1 69.832 * [backup-simplify]: Simplify (/ 1 1) into 1 69.832 * [taylor]: Taking taylor expansion of 1 in k 69.832 * [backup-simplify]: Simplify 1 into 1 69.832 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 69.832 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 69.832 * [taylor]: Taking taylor expansion of -2 in k 69.832 * [backup-simplify]: Simplify -2 into -2 69.832 * [taylor]: Taking taylor expansion of (/ PI n) in k 69.832 * [taylor]: Taking taylor expansion of PI in k 69.832 * [backup-simplify]: Simplify PI into PI 69.832 * [taylor]: Taking taylor expansion of n in k 69.832 * [backup-simplify]: Simplify n into n 69.832 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 69.832 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 69.833 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 69.833 * [backup-simplify]: Simplify (+ 1 0) into 1 69.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.834 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 69.834 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 69.834 * [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))))) 69.834 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 69.834 * [taylor]: Taking taylor expansion of +nan.0 in n 69.834 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.834 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 69.834 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 69.834 * [taylor]: Taking taylor expansion of 1/2 in n 69.834 * [backup-simplify]: Simplify 1/2 into 1/2 69.834 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 69.834 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.834 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.834 * [taylor]: Taking taylor expansion of -2 in n 69.834 * [backup-simplify]: Simplify -2 into -2 69.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.834 * [taylor]: Taking taylor expansion of PI in n 69.834 * [backup-simplify]: Simplify PI into PI 69.834 * [taylor]: Taking taylor expansion of n in n 69.835 * [backup-simplify]: Simplify 0 into 0 69.835 * [backup-simplify]: Simplify 1 into 1 69.835 * [backup-simplify]: Simplify (/ PI 1) into PI 69.835 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.836 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.836 * [taylor]: Taking taylor expansion of k in n 69.836 * [backup-simplify]: Simplify k into k 69.836 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.837 * [taylor]: Taking taylor expansion of 1 in n 69.837 * [backup-simplify]: Simplify 1 into 1 69.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.838 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.839 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 69.840 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.841 * [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))))) 69.842 * [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)))))) 69.844 * [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)))))) 69.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 69.848 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.848 * [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))))))) 69.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 69.848 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 69.848 * [taylor]: Taking taylor expansion of +nan.0 in n 69.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.849 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 69.849 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 69.849 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 69.849 * [taylor]: Taking taylor expansion of 1/2 in n 69.849 * [backup-simplify]: Simplify 1/2 into 1/2 69.849 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 69.849 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.849 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.849 * [taylor]: Taking taylor expansion of -2 in n 69.849 * [backup-simplify]: Simplify -2 into -2 69.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.849 * [taylor]: Taking taylor expansion of PI in n 69.849 * [backup-simplify]: Simplify PI into PI 69.849 * [taylor]: Taking taylor expansion of n in n 69.849 * [backup-simplify]: Simplify 0 into 0 69.849 * [backup-simplify]: Simplify 1 into 1 69.849 * [backup-simplify]: Simplify (/ PI 1) into PI 69.850 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.851 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.851 * [taylor]: Taking taylor expansion of k in n 69.851 * [backup-simplify]: Simplify k into k 69.851 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.851 * [taylor]: Taking taylor expansion of 1 in n 69.851 * [backup-simplify]: Simplify 1 into 1 69.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.852 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.853 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 69.854 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.855 * [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))))) 69.856 * [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)))))) 69.856 * [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)))))) 69.857 * [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)))))))) 69.858 * [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)))))))) 69.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.859 * [backup-simplify]: Simplify (+ 0 0) into 0 69.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 69.860 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 69.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 69.861 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 69.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 69.864 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.866 * [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 69.866 * [backup-simplify]: Simplify 0 into 0 69.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.869 * [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))))))) 69.869 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 69.869 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 69.869 * [taylor]: Taking taylor expansion of +nan.0 in n 69.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.869 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 69.869 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 69.869 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 69.869 * [taylor]: Taking taylor expansion of 1/2 in n 69.869 * [backup-simplify]: Simplify 1/2 into 1/2 69.869 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 69.869 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 69.869 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 69.869 * [taylor]: Taking taylor expansion of -2 in n 69.869 * [backup-simplify]: Simplify -2 into -2 69.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 69.869 * [taylor]: Taking taylor expansion of PI in n 69.869 * [backup-simplify]: Simplify PI into PI 69.869 * [taylor]: Taking taylor expansion of n in n 69.869 * [backup-simplify]: Simplify 0 into 0 69.869 * [backup-simplify]: Simplify 1 into 1 69.870 * [backup-simplify]: Simplify (/ PI 1) into PI 69.870 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 69.870 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 69.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.871 * [taylor]: Taking taylor expansion of k in n 69.871 * [backup-simplify]: Simplify k into k 69.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.871 * [taylor]: Taking taylor expansion of 1 in n 69.871 * [backup-simplify]: Simplify 1 into 1 69.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 69.872 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.872 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 69.873 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 69.873 * [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))))) 69.874 * [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)))))) 69.875 * [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)))))) 69.876 * [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)))))))) 69.876 * [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)))))))) 69.879 * [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))))))))))))) 69.879 * * * * [progress]: [ 4 / 4 ] generating series at (2) 69.879 * [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))) 69.879 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 69.879 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 69.879 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 69.879 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 69.879 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 69.879 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.879 * [taylor]: Taking taylor expansion of 1/2 in n 69.879 * [backup-simplify]: Simplify 1/2 into 1/2 69.879 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.879 * [taylor]: Taking taylor expansion of 1 in n 69.879 * [backup-simplify]: Simplify 1 into 1 69.879 * [taylor]: Taking taylor expansion of k in n 69.879 * [backup-simplify]: Simplify k into k 69.879 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.879 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.879 * [taylor]: Taking taylor expansion of 2 in n 69.879 * [backup-simplify]: Simplify 2 into 2 69.879 * [taylor]: Taking taylor expansion of (* n PI) in n 69.879 * [taylor]: Taking taylor expansion of n in n 69.879 * [backup-simplify]: Simplify 0 into 0 69.879 * [backup-simplify]: Simplify 1 into 1 69.879 * [taylor]: Taking taylor expansion of PI in n 69.879 * [backup-simplify]: Simplify PI into PI 69.880 * [backup-simplify]: Simplify (* 0 PI) into 0 69.880 * [backup-simplify]: Simplify (* 2 0) into 0 69.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.882 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.882 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.882 * [backup-simplify]: Simplify (- k) into (- k) 69.882 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.882 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.883 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.884 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 69.885 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 69.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 69.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.885 * [taylor]: Taking taylor expansion of k in n 69.885 * [backup-simplify]: Simplify k into k 69.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.885 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 69.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 69.885 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 69.885 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.885 * [taylor]: Taking taylor expansion of 1/2 in k 69.885 * [backup-simplify]: Simplify 1/2 into 1/2 69.885 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.885 * [taylor]: Taking taylor expansion of 1 in k 69.885 * [backup-simplify]: Simplify 1 into 1 69.885 * [taylor]: Taking taylor expansion of k in k 69.885 * [backup-simplify]: Simplify 0 into 0 69.885 * [backup-simplify]: Simplify 1 into 1 69.885 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.885 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.885 * [taylor]: Taking taylor expansion of 2 in k 69.885 * [backup-simplify]: Simplify 2 into 2 69.885 * [taylor]: Taking taylor expansion of (* n PI) in k 69.885 * [taylor]: Taking taylor expansion of n in k 69.885 * [backup-simplify]: Simplify n into n 69.885 * [taylor]: Taking taylor expansion of PI in k 69.885 * [backup-simplify]: Simplify PI into PI 69.885 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.885 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.885 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.886 * [backup-simplify]: Simplify (- 0) into 0 69.886 * [backup-simplify]: Simplify (+ 1 0) into 1 69.886 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.886 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.886 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.886 * [taylor]: Taking taylor expansion of k in k 69.887 * [backup-simplify]: Simplify 0 into 0 69.887 * [backup-simplify]: Simplify 1 into 1 69.887 * [backup-simplify]: Simplify (/ 1 1) into 1 69.887 * [backup-simplify]: Simplify (sqrt 0) into 0 69.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.889 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 69.889 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 69.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 69.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 69.889 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.889 * [taylor]: Taking taylor expansion of 1/2 in k 69.889 * [backup-simplify]: Simplify 1/2 into 1/2 69.889 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.889 * [taylor]: Taking taylor expansion of 1 in k 69.889 * [backup-simplify]: Simplify 1 into 1 69.889 * [taylor]: Taking taylor expansion of k in k 69.889 * [backup-simplify]: Simplify 0 into 0 69.889 * [backup-simplify]: Simplify 1 into 1 69.889 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 69.889 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 69.889 * [taylor]: Taking taylor expansion of 2 in k 69.889 * [backup-simplify]: Simplify 2 into 2 69.889 * [taylor]: Taking taylor expansion of (* n PI) in k 69.889 * [taylor]: Taking taylor expansion of n in k 69.889 * [backup-simplify]: Simplify n into n 69.889 * [taylor]: Taking taylor expansion of PI in k 69.889 * [backup-simplify]: Simplify PI into PI 69.889 * [backup-simplify]: Simplify (* n PI) into (* n PI) 69.889 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 69.889 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 69.890 * [backup-simplify]: Simplify (- 0) into 0 69.890 * [backup-simplify]: Simplify (+ 1 0) into 1 69.890 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.890 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 69.890 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 69.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.890 * [taylor]: Taking taylor expansion of k in k 69.891 * [backup-simplify]: Simplify 0 into 0 69.891 * [backup-simplify]: Simplify 1 into 1 69.891 * [backup-simplify]: Simplify (/ 1 1) into 1 69.891 * [backup-simplify]: Simplify (sqrt 0) into 0 69.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.892 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 69.892 * [taylor]: Taking taylor expansion of 0 in n 69.892 * [backup-simplify]: Simplify 0 into 0 69.892 * [backup-simplify]: Simplify 0 into 0 69.892 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 69.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 69.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 69.893 * [backup-simplify]: Simplify (- 1) into -1 69.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.894 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 69.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 69.895 * [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))))) 69.895 * [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))))) 69.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 69.895 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 69.895 * [taylor]: Taking taylor expansion of +nan.0 in n 69.895 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.895 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 69.895 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.895 * [taylor]: Taking taylor expansion of 2 in n 69.895 * [backup-simplify]: Simplify 2 into 2 69.895 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.896 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.896 * [taylor]: Taking taylor expansion of (* n PI) in n 69.896 * [taylor]: Taking taylor expansion of n in n 69.896 * [backup-simplify]: Simplify 0 into 0 69.896 * [backup-simplify]: Simplify 1 into 1 69.896 * [taylor]: Taking taylor expansion of PI in n 69.896 * [backup-simplify]: Simplify PI into PI 69.896 * [backup-simplify]: Simplify (* 0 PI) into 0 69.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.897 * [backup-simplify]: Simplify (sqrt 0) into 0 69.898 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.898 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 69.898 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.899 * [backup-simplify]: Simplify (- 0) into 0 69.899 * [backup-simplify]: Simplify 0 into 0 69.899 * [backup-simplify]: Simplify 0 into 0 69.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 69.901 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.901 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 69.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 69.903 * [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 69.903 * [backup-simplify]: Simplify (- 0) into 0 69.903 * [backup-simplify]: Simplify (+ 0 0) into 0 69.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 69.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 69.905 * [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))) 69.906 * [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))))))) 69.906 * [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 69.906 * [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 69.906 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 69.906 * [taylor]: Taking taylor expansion of +nan.0 in n 69.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.906 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 69.906 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 69.906 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.906 * [taylor]: Taking taylor expansion of 2 in n 69.906 * [backup-simplify]: Simplify 2 into 2 69.906 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.906 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.906 * [taylor]: Taking taylor expansion of 2 in n 69.906 * [backup-simplify]: Simplify 2 into 2 69.907 * [taylor]: Taking taylor expansion of (* n PI) in n 69.907 * [taylor]: Taking taylor expansion of n in n 69.907 * [backup-simplify]: Simplify 0 into 0 69.907 * [backup-simplify]: Simplify 1 into 1 69.907 * [taylor]: Taking taylor expansion of PI in n 69.907 * [backup-simplify]: Simplify PI into PI 69.907 * [backup-simplify]: Simplify (* 0 PI) into 0 69.907 * [backup-simplify]: Simplify (* 2 0) into 0 69.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.909 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.909 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.909 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.909 * [taylor]: Taking taylor expansion of (* n PI) in n 69.910 * [taylor]: Taking taylor expansion of n in n 69.910 * [backup-simplify]: Simplify 0 into 0 69.910 * [backup-simplify]: Simplify 1 into 1 69.910 * [taylor]: Taking taylor expansion of PI in n 69.910 * [backup-simplify]: Simplify PI into PI 69.910 * [backup-simplify]: Simplify (* 0 PI) into 0 69.911 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.911 * [backup-simplify]: Simplify (sqrt 0) into 0 69.912 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 69.912 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 69.912 * [taylor]: Taking taylor expansion of +nan.0 in n 69.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.912 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 69.912 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.912 * [taylor]: Taking taylor expansion of 2 in n 69.912 * [backup-simplify]: Simplify 2 into 2 69.912 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.913 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.913 * [taylor]: Taking taylor expansion of (* n PI) in n 69.913 * [taylor]: Taking taylor expansion of n in n 69.913 * [backup-simplify]: Simplify 0 into 0 69.913 * [backup-simplify]: Simplify 1 into 1 69.913 * [taylor]: Taking taylor expansion of PI in n 69.913 * [backup-simplify]: Simplify PI into PI 69.913 * [backup-simplify]: Simplify (* 0 PI) into 0 69.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.914 * [backup-simplify]: Simplify (sqrt 0) into 0 69.915 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.917 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 69.918 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 69.918 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.918 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 69.919 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.919 * [backup-simplify]: Simplify (- 0) into 0 69.919 * [backup-simplify]: Simplify (+ 0 0) into 0 69.919 * [backup-simplify]: Simplify (- 0) into 0 69.919 * [backup-simplify]: Simplify 0 into 0 69.921 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 69.929 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 69.932 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 69.934 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 69.935 * [backup-simplify]: Simplify 0 into 0 69.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.940 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 69.944 * [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 69.945 * [backup-simplify]: Simplify (- 0) into 0 69.945 * [backup-simplify]: Simplify (+ 0 0) into 0 69.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 69.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 69.949 * [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))) 69.951 * [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))))))))) 69.951 * [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 69.951 * [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 69.951 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 69.951 * [taylor]: Taking taylor expansion of +nan.0 in n 69.951 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.951 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 69.951 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 69.951 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.951 * [taylor]: Taking taylor expansion of 2 in n 69.951 * [backup-simplify]: Simplify 2 into 2 69.951 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.952 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.952 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.952 * [taylor]: Taking taylor expansion of 2 in n 69.952 * [backup-simplify]: Simplify 2 into 2 69.952 * [taylor]: Taking taylor expansion of (* n PI) in n 69.952 * [taylor]: Taking taylor expansion of n in n 69.952 * [backup-simplify]: Simplify 0 into 0 69.952 * [backup-simplify]: Simplify 1 into 1 69.952 * [taylor]: Taking taylor expansion of PI in n 69.952 * [backup-simplify]: Simplify PI into PI 69.953 * [backup-simplify]: Simplify (* 0 PI) into 0 69.953 * [backup-simplify]: Simplify (* 2 0) into 0 69.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.957 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.957 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.958 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.958 * [taylor]: Taking taylor expansion of (* n PI) in n 69.958 * [taylor]: Taking taylor expansion of n in n 69.958 * [backup-simplify]: Simplify 0 into 0 69.958 * [backup-simplify]: Simplify 1 into 1 69.958 * [taylor]: Taking taylor expansion of PI in n 69.958 * [backup-simplify]: Simplify PI into PI 69.958 * [backup-simplify]: Simplify (* 0 PI) into 0 69.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.960 * [backup-simplify]: Simplify (sqrt 0) into 0 69.961 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.961 * [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 69.961 * [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 69.961 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 69.961 * [taylor]: Taking taylor expansion of +nan.0 in n 69.961 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.962 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 69.962 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.962 * [taylor]: Taking taylor expansion of 2 in n 69.962 * [backup-simplify]: Simplify 2 into 2 69.962 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.963 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.963 * [taylor]: Taking taylor expansion of (* n PI) in n 69.963 * [taylor]: Taking taylor expansion of n in n 69.963 * [backup-simplify]: Simplify 0 into 0 69.963 * [backup-simplify]: Simplify 1 into 1 69.963 * [taylor]: Taking taylor expansion of PI in n 69.963 * [backup-simplify]: Simplify PI into PI 69.963 * [backup-simplify]: Simplify (* 0 PI) into 0 69.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.965 * [backup-simplify]: Simplify (sqrt 0) into 0 69.966 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.966 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 69.966 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 69.966 * [taylor]: Taking taylor expansion of +nan.0 in n 69.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 69.966 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 69.966 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 69.966 * [taylor]: Taking taylor expansion of (sqrt 2) in n 69.967 * [taylor]: Taking taylor expansion of 2 in n 69.967 * [backup-simplify]: Simplify 2 into 2 69.967 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 69.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 69.968 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 69.968 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 69.968 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 69.968 * [taylor]: Taking taylor expansion of 2 in n 69.968 * [backup-simplify]: Simplify 2 into 2 69.968 * [taylor]: Taking taylor expansion of (* n PI) in n 69.968 * [taylor]: Taking taylor expansion of n in n 69.968 * [backup-simplify]: Simplify 0 into 0 69.968 * [backup-simplify]: Simplify 1 into 1 69.968 * [taylor]: Taking taylor expansion of PI in n 69.968 * [backup-simplify]: Simplify PI into PI 69.968 * [backup-simplify]: Simplify (* 0 PI) into 0 69.969 * [backup-simplify]: Simplify (* 2 0) into 0 69.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.972 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 69.972 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.974 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.974 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 69.974 * [taylor]: Taking taylor expansion of (* n PI) in n 69.974 * [taylor]: Taking taylor expansion of n in n 69.974 * [backup-simplify]: Simplify 0 into 0 69.974 * [backup-simplify]: Simplify 1 into 1 69.974 * [taylor]: Taking taylor expansion of PI in n 69.974 * [backup-simplify]: Simplify PI into PI 69.974 * [backup-simplify]: Simplify (* 0 PI) into 0 69.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 69.976 * [backup-simplify]: Simplify (sqrt 0) into 0 69.978 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 69.979 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.980 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 69.982 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 69.982 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.983 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 69.983 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.987 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 69.989 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 69.990 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 69.991 * [backup-simplify]: Simplify (* +nan.0 0) into 0 69.991 * [backup-simplify]: Simplify (- 0) into 0 69.991 * [backup-simplify]: Simplify (+ 0 0) into 0 69.992 * [backup-simplify]: Simplify (- 0) into 0 69.992 * [backup-simplify]: Simplify (+ 0 0) into 0 69.992 * [backup-simplify]: Simplify (- 0) into 0 69.992 * [backup-simplify]: Simplify 0 into 0 69.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 69.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 69.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.997 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 69.999 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 70.001 * [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)))))))) 70.005 * [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)))))))) 70.007 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.010 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 70.012 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 70.017 * [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)))))))))) 70.021 * [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))))))) 70.025 * [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))))))) 70.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.028 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 70.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 70.032 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.041 * [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)))) 70.045 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.048 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 70.058 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 70.059 * [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)) 70.059 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 70.059 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 70.059 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.059 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.059 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.059 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.059 * [taylor]: Taking taylor expansion of 1/2 in n 70.059 * [backup-simplify]: Simplify 1/2 into 1/2 70.059 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.059 * [taylor]: Taking taylor expansion of 1 in n 70.059 * [backup-simplify]: Simplify 1 into 1 70.059 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.059 * [taylor]: Taking taylor expansion of k in n 70.059 * [backup-simplify]: Simplify k into k 70.059 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.059 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.059 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.059 * [taylor]: Taking taylor expansion of 2 in n 70.059 * [backup-simplify]: Simplify 2 into 2 70.059 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.059 * [taylor]: Taking taylor expansion of PI in n 70.059 * [backup-simplify]: Simplify PI into PI 70.059 * [taylor]: Taking taylor expansion of n in n 70.059 * [backup-simplify]: Simplify 0 into 0 70.059 * [backup-simplify]: Simplify 1 into 1 70.060 * [backup-simplify]: Simplify (/ PI 1) into PI 70.060 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.061 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.061 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.061 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.061 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.062 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.063 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 70.063 * [taylor]: Taking taylor expansion of (sqrt k) in n 70.063 * [taylor]: Taking taylor expansion of k in n 70.063 * [backup-simplify]: Simplify k into k 70.063 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 70.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 70.063 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 70.063 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.063 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.063 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.063 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.063 * [taylor]: Taking taylor expansion of 1/2 in k 70.063 * [backup-simplify]: Simplify 1/2 into 1/2 70.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.063 * [taylor]: Taking taylor expansion of 1 in k 70.063 * [backup-simplify]: Simplify 1 into 1 70.063 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.063 * [taylor]: Taking taylor expansion of k in k 70.063 * [backup-simplify]: Simplify 0 into 0 70.064 * [backup-simplify]: Simplify 1 into 1 70.064 * [backup-simplify]: Simplify (/ 1 1) into 1 70.064 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.064 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.064 * [taylor]: Taking taylor expansion of 2 in k 70.064 * [backup-simplify]: Simplify 2 into 2 70.064 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.064 * [taylor]: Taking taylor expansion of PI in k 70.064 * [backup-simplify]: Simplify PI into PI 70.064 * [taylor]: Taking taylor expansion of n in k 70.064 * [backup-simplify]: Simplify n into n 70.064 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.064 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.064 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.064 * [backup-simplify]: Simplify (- 1) into -1 70.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.065 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.065 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.065 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.065 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.065 * [taylor]: Taking taylor expansion of k in k 70.065 * [backup-simplify]: Simplify 0 into 0 70.065 * [backup-simplify]: Simplify 1 into 1 70.065 * [backup-simplify]: Simplify (sqrt 0) into 0 70.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.066 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 70.066 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.066 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.066 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.067 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.067 * [taylor]: Taking taylor expansion of 1/2 in k 70.067 * [backup-simplify]: Simplify 1/2 into 1/2 70.067 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.067 * [taylor]: Taking taylor expansion of 1 in k 70.067 * [backup-simplify]: Simplify 1 into 1 70.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.067 * [taylor]: Taking taylor expansion of k in k 70.067 * [backup-simplify]: Simplify 0 into 0 70.067 * [backup-simplify]: Simplify 1 into 1 70.067 * [backup-simplify]: Simplify (/ 1 1) into 1 70.067 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.067 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.067 * [taylor]: Taking taylor expansion of 2 in k 70.067 * [backup-simplify]: Simplify 2 into 2 70.067 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.067 * [taylor]: Taking taylor expansion of PI in k 70.067 * [backup-simplify]: Simplify PI into PI 70.067 * [taylor]: Taking taylor expansion of n in k 70.067 * [backup-simplify]: Simplify n into n 70.067 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.067 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.067 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.067 * [backup-simplify]: Simplify (- 1) into -1 70.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.068 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.068 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.068 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.068 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.068 * [taylor]: Taking taylor expansion of k in k 70.068 * [backup-simplify]: Simplify 0 into 0 70.068 * [backup-simplify]: Simplify 1 into 1 70.068 * [backup-simplify]: Simplify (sqrt 0) into 0 70.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.069 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 70.069 * [taylor]: Taking taylor expansion of 0 in n 70.069 * [backup-simplify]: Simplify 0 into 0 70.069 * [backup-simplify]: Simplify 0 into 0 70.070 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 70.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.070 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.070 * [taylor]: Taking taylor expansion of +nan.0 in n 70.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.070 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.070 * [taylor]: Taking taylor expansion of 1/2 in n 70.070 * [backup-simplify]: Simplify 1/2 into 1/2 70.070 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.070 * [taylor]: Taking taylor expansion of 1 in n 70.070 * [backup-simplify]: Simplify 1 into 1 70.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.070 * [taylor]: Taking taylor expansion of k in n 70.070 * [backup-simplify]: Simplify k into k 70.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.070 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.070 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.070 * [taylor]: Taking taylor expansion of 2 in n 70.070 * [backup-simplify]: Simplify 2 into 2 70.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.070 * [taylor]: Taking taylor expansion of PI in n 70.070 * [backup-simplify]: Simplify PI into PI 70.070 * [taylor]: Taking taylor expansion of n in n 70.070 * [backup-simplify]: Simplify 0 into 0 70.070 * [backup-simplify]: Simplify 1 into 1 70.071 * [backup-simplify]: Simplify (/ PI 1) into PI 70.071 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.071 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.071 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.072 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.073 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.074 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.074 * [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))))) 70.075 * [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)))))) 70.076 * [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))))))) 70.076 * [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))))))) 70.076 * [backup-simplify]: Simplify 0 into 0 70.078 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.079 * [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)))))))) 70.079 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.079 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.079 * [taylor]: Taking taylor expansion of +nan.0 in n 70.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.079 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.079 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.079 * [taylor]: Taking taylor expansion of 1/2 in n 70.079 * [backup-simplify]: Simplify 1/2 into 1/2 70.079 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.079 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.079 * [taylor]: Taking taylor expansion of 1 in n 70.079 * [backup-simplify]: Simplify 1 into 1 70.079 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.079 * [taylor]: Taking taylor expansion of k in n 70.079 * [backup-simplify]: Simplify k into k 70.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.079 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.079 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.079 * [taylor]: Taking taylor expansion of 2 in n 70.079 * [backup-simplify]: Simplify 2 into 2 70.079 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.079 * [taylor]: Taking taylor expansion of PI in n 70.079 * [backup-simplify]: Simplify PI into PI 70.079 * [taylor]: Taking taylor expansion of n in n 70.079 * [backup-simplify]: Simplify 0 into 0 70.079 * [backup-simplify]: Simplify 1 into 1 70.079 * [backup-simplify]: Simplify (/ PI 1) into PI 70.080 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.080 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.080 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.080 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.081 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.082 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.083 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.084 * [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))))) 70.085 * [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)))))) 70.087 * [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))))))) 70.088 * [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))))))) 70.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.092 * [backup-simplify]: Simplify (- 0) into 0 70.092 * [backup-simplify]: Simplify (+ 0 0) into 0 70.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.095 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 70.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 70.098 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.099 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 70.099 * [backup-simplify]: Simplify (- 0) into 0 70.099 * [backup-simplify]: Simplify 0 into 0 70.099 * [backup-simplify]: Simplify 0 into 0 70.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.104 * [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)))))))) 70.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.104 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.104 * [taylor]: Taking taylor expansion of +nan.0 in n 70.104 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.104 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.104 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.104 * [taylor]: Taking taylor expansion of 1/2 in n 70.104 * [backup-simplify]: Simplify 1/2 into 1/2 70.104 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.104 * [taylor]: Taking taylor expansion of 1 in n 70.104 * [backup-simplify]: Simplify 1 into 1 70.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.104 * [taylor]: Taking taylor expansion of k in n 70.104 * [backup-simplify]: Simplify k into k 70.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.104 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.105 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.105 * [taylor]: Taking taylor expansion of 2 in n 70.105 * [backup-simplify]: Simplify 2 into 2 70.105 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.105 * [taylor]: Taking taylor expansion of PI in n 70.105 * [backup-simplify]: Simplify PI into PI 70.105 * [taylor]: Taking taylor expansion of n in n 70.105 * [backup-simplify]: Simplify 0 into 0 70.105 * [backup-simplify]: Simplify 1 into 1 70.105 * [backup-simplify]: Simplify (/ PI 1) into PI 70.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.106 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.106 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.106 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.108 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.108 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.109 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 70.110 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 70.111 * [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))))))) 70.111 * [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))))))) 70.114 * [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)))))))) 70.114 * [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))) 70.114 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 70.114 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 70.114 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.114 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.114 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.114 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.114 * [taylor]: Taking taylor expansion of 1/2 in n 70.114 * [backup-simplify]: Simplify 1/2 into 1/2 70.115 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.115 * [taylor]: Taking taylor expansion of k in n 70.115 * [backup-simplify]: Simplify k into k 70.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.115 * [taylor]: Taking taylor expansion of 1 in n 70.115 * [backup-simplify]: Simplify 1 into 1 70.115 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.115 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.115 * [taylor]: Taking taylor expansion of -2 in n 70.115 * [backup-simplify]: Simplify -2 into -2 70.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.115 * [taylor]: Taking taylor expansion of PI in n 70.115 * [backup-simplify]: Simplify PI into PI 70.115 * [taylor]: Taking taylor expansion of n in n 70.115 * [backup-simplify]: Simplify 0 into 0 70.115 * [backup-simplify]: Simplify 1 into 1 70.115 * [backup-simplify]: Simplify (/ PI 1) into PI 70.115 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.116 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.116 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.116 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.118 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.118 * [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))))) 70.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.118 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.118 * [taylor]: Taking taylor expansion of -1 in n 70.118 * [backup-simplify]: Simplify -1 into -1 70.118 * [taylor]: Taking taylor expansion of k in n 70.118 * [backup-simplify]: Simplify k into k 70.118 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.118 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.118 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.119 * [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))) 70.119 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 70.119 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.119 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.119 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.119 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.119 * [taylor]: Taking taylor expansion of 1/2 in k 70.119 * [backup-simplify]: Simplify 1/2 into 1/2 70.119 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.119 * [taylor]: Taking taylor expansion of k in k 70.119 * [backup-simplify]: Simplify 0 into 0 70.119 * [backup-simplify]: Simplify 1 into 1 70.120 * [backup-simplify]: Simplify (/ 1 1) into 1 70.120 * [taylor]: Taking taylor expansion of 1 in k 70.120 * [backup-simplify]: Simplify 1 into 1 70.120 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.120 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.120 * [taylor]: Taking taylor expansion of -2 in k 70.120 * [backup-simplify]: Simplify -2 into -2 70.120 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.120 * [taylor]: Taking taylor expansion of PI in k 70.120 * [backup-simplify]: Simplify PI into PI 70.120 * [taylor]: Taking taylor expansion of n in k 70.120 * [backup-simplify]: Simplify n into n 70.120 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.120 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.120 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.120 * [backup-simplify]: Simplify (+ 1 0) into 1 70.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.121 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.121 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.121 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.121 * [taylor]: Taking taylor expansion of -1 in k 70.121 * [backup-simplify]: Simplify -1 into -1 70.121 * [taylor]: Taking taylor expansion of k in k 70.121 * [backup-simplify]: Simplify 0 into 0 70.121 * [backup-simplify]: Simplify 1 into 1 70.121 * [backup-simplify]: Simplify (/ -1 1) into -1 70.121 * [backup-simplify]: Simplify (sqrt 0) into 0 70.122 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.122 * [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))))) 70.122 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 70.122 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.122 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.122 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.122 * [taylor]: Taking taylor expansion of 1/2 in k 70.122 * [backup-simplify]: Simplify 1/2 into 1/2 70.123 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.123 * [taylor]: Taking taylor expansion of k in k 70.123 * [backup-simplify]: Simplify 0 into 0 70.123 * [backup-simplify]: Simplify 1 into 1 70.123 * [backup-simplify]: Simplify (/ 1 1) into 1 70.123 * [taylor]: Taking taylor expansion of 1 in k 70.123 * [backup-simplify]: Simplify 1 into 1 70.123 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.123 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.123 * [taylor]: Taking taylor expansion of -2 in k 70.123 * [backup-simplify]: Simplify -2 into -2 70.123 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.123 * [taylor]: Taking taylor expansion of PI in k 70.123 * [backup-simplify]: Simplify PI into PI 70.123 * [taylor]: Taking taylor expansion of n in k 70.123 * [backup-simplify]: Simplify n into n 70.123 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.123 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.123 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.123 * [backup-simplify]: Simplify (+ 1 0) into 1 70.124 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.124 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.124 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.124 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.124 * [taylor]: Taking taylor expansion of -1 in k 70.124 * [backup-simplify]: Simplify -1 into -1 70.124 * [taylor]: Taking taylor expansion of k in k 70.124 * [backup-simplify]: Simplify 0 into 0 70.124 * [backup-simplify]: Simplify 1 into 1 70.124 * [backup-simplify]: Simplify (/ -1 1) into -1 70.124 * [backup-simplify]: Simplify (sqrt 0) into 0 70.125 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.125 * [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))))) 70.125 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.125 * [taylor]: Taking taylor expansion of +nan.0 in n 70.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.125 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.125 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.125 * [taylor]: Taking taylor expansion of 1/2 in n 70.126 * [backup-simplify]: Simplify 1/2 into 1/2 70.126 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.126 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.126 * [taylor]: Taking taylor expansion of -2 in n 70.126 * [backup-simplify]: Simplify -2 into -2 70.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.126 * [taylor]: Taking taylor expansion of PI in n 70.126 * [backup-simplify]: Simplify PI into PI 70.126 * [taylor]: Taking taylor expansion of n in n 70.126 * [backup-simplify]: Simplify 0 into 0 70.126 * [backup-simplify]: Simplify 1 into 1 70.126 * [backup-simplify]: Simplify (/ PI 1) into PI 70.126 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.127 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.127 * [taylor]: Taking taylor expansion of k in n 70.127 * [backup-simplify]: Simplify k into k 70.127 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.127 * [taylor]: Taking taylor expansion of 1 in n 70.127 * [backup-simplify]: Simplify 1 into 1 70.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.128 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.129 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.129 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.130 * [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))))) 70.131 * [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)))))) 70.131 * [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)))))) 70.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.134 * [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)))))) 70.134 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.134 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.134 * [taylor]: Taking taylor expansion of +nan.0 in n 70.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.134 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.134 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.134 * [taylor]: Taking taylor expansion of 1/2 in n 70.134 * [backup-simplify]: Simplify 1/2 into 1/2 70.134 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.134 * [taylor]: Taking taylor expansion of -2 in n 70.134 * [backup-simplify]: Simplify -2 into -2 70.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.134 * [taylor]: Taking taylor expansion of PI in n 70.134 * [backup-simplify]: Simplify PI into PI 70.134 * [taylor]: Taking taylor expansion of n in n 70.134 * [backup-simplify]: Simplify 0 into 0 70.134 * [backup-simplify]: Simplify 1 into 1 70.135 * [backup-simplify]: Simplify (/ PI 1) into PI 70.135 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.136 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.136 * [taylor]: Taking taylor expansion of k in n 70.136 * [backup-simplify]: Simplify k into k 70.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.136 * [taylor]: Taking taylor expansion of 1 in n 70.136 * [backup-simplify]: Simplify 1 into 1 70.136 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.137 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.139 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.140 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.142 * [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))))) 70.142 * [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)))))) 70.143 * [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))))))) 70.144 * [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))))))) 70.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.145 * [backup-simplify]: Simplify (+ 0 0) into 0 70.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.146 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 70.148 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 70.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 70.150 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.151 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 70.151 * [backup-simplify]: Simplify 0 into 0 70.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.154 * [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)))))) 70.154 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.154 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.154 * [taylor]: Taking taylor expansion of +nan.0 in n 70.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.154 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.155 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.155 * [taylor]: Taking taylor expansion of 1/2 in n 70.155 * [backup-simplify]: Simplify 1/2 into 1/2 70.155 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.155 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.155 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.155 * [taylor]: Taking taylor expansion of -2 in n 70.155 * [backup-simplify]: Simplify -2 into -2 70.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.155 * [taylor]: Taking taylor expansion of PI in n 70.155 * [backup-simplify]: Simplify PI into PI 70.155 * [taylor]: Taking taylor expansion of n in n 70.155 * [backup-simplify]: Simplify 0 into 0 70.155 * [backup-simplify]: Simplify 1 into 1 70.155 * [backup-simplify]: Simplify (/ PI 1) into PI 70.155 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.156 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.156 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.156 * [taylor]: Taking taylor expansion of k in n 70.156 * [backup-simplify]: Simplify k into k 70.156 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.156 * [taylor]: Taking taylor expansion of 1 in n 70.156 * [backup-simplify]: Simplify 1 into 1 70.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.157 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.158 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.158 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.159 * [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))))) 70.159 * [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)))))) 70.160 * [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))))))) 70.161 * [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))))))) 70.163 * [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)))))))))))) 70.163 * * * [progress]: simplifying candidates 70.163 * * * * [progress]: [ 1 / 307 ] simplifiying candidate # 70.163 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 70.164 * * [simplify]: iters left: 6 (13 enodes) 70.168 * * [simplify]: iters left: 5 (54 enodes) 70.180 * * [simplify]: iters left: 4 (97 enodes) 70.207 * * [simplify]: iters left: 3 (242 enodes) 70.306 * * [simplify]: Extracting #0: cost 1 inf + 0 70.307 * * [simplify]: Extracting #1: cost 28 inf + 0 70.307 * * [simplify]: Extracting #2: cost 93 inf + 2 70.308 * * [simplify]: Extracting #3: cost 139 inf + 75 70.310 * * [simplify]: Extracting #4: cost 102 inf + 5195 70.319 * * [simplify]: Extracting #5: cost 14 inf + 28777 70.332 * * [simplify]: Extracting #6: cost 0 inf + 33789 70.345 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 70.345 * [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))))) 70.345 * * * * [progress]: [ 2 / 307 ] simplifiying candidate # 70.346 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 70.346 * * [simplify]: iters left: 6 (12 enodes) 70.353 * * [simplify]: iters left: 5 (52 enodes) 70.374 * * [simplify]: iters left: 4 (90 enodes) 70.403 * * [simplify]: iters left: 3 (201 enodes) 70.475 * * [simplify]: iters left: 2 (496 enodes) 70.750 * * [simplify]: Extracting #0: cost 1 inf + 0 70.750 * * [simplify]: Extracting #1: cost 22 inf + 0 70.751 * * [simplify]: Extracting #2: cost 122 inf + 2 70.753 * * [simplify]: Extracting #3: cost 296 inf + 186 70.757 * * [simplify]: Extracting #4: cost 252 inf + 7310 70.771 * * [simplify]: Extracting #5: cost 66 inf + 59079 70.787 * * [simplify]: Extracting #6: cost 1 inf + 82178 70.818 * * [simplify]: Extracting #7: cost 0 inf + 82436 70.853 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 70.853 * [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))))) 70.853 * * * * [progress]: [ 3 / 307 ] simplifiying candidate # 70.853 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 70.853 * * [simplify]: iters left: 6 (11 enodes) 70.860 * * [simplify]: iters left: 5 (51 enodes) 70.877 * * [simplify]: iters left: 4 (97 enodes) 70.912 * * [simplify]: iters left: 3 (197 enodes) 71.005 * * [simplify]: iters left: 2 (491 enodes) 71.284 * * [simplify]: Extracting #0: cost 1 inf + 0 71.285 * * [simplify]: Extracting #1: cost 27 inf + 0 71.285 * * [simplify]: Extracting #2: cost 139 inf + 2 71.287 * * [simplify]: Extracting #3: cost 300 inf + 382 71.293 * * [simplify]: Extracting #4: cost 242 inf + 10228 71.313 * * [simplify]: Extracting #5: cost 53 inf + 57829 71.344 * * [simplify]: Extracting #6: cost 2 inf + 73504 71.374 * * [simplify]: Extracting #7: cost 0 inf + 74187 71.403 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 71.403 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 71.403 * * * * [progress]: [ 4 / 307 ] simplifiying candidate # 71.403 * * * * [progress]: [ 5 / 307 ] simplifiying candidate # 71.404 * [simplify]: Simplifying (* n (* 2 PI)) 71.404 * * [simplify]: iters left: 4 (5 enodes) 71.407 * * [simplify]: iters left: 3 (19 enodes) 71.412 * * [simplify]: iters left: 2 (27 enodes) 71.421 * * [simplify]: iters left: 1 (32 enodes) 71.429 * * [simplify]: Extracting #0: cost 1 inf + 0 71.429 * * [simplify]: Extracting #1: cost 8 inf + 0 71.430 * * [simplify]: Extracting #2: cost 7 inf + 45 71.430 * * [simplify]: Extracting #3: cost 0 inf + 421 71.430 * [simplify]: Simplified to (* (* PI 2) n) 71.430 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.430 * * * * [progress]: [ 6 / 307 ] simplifiying candidate # 71.431 * [simplify]: Simplifying (* n (* 2 PI)) 71.431 * * [simplify]: iters left: 4 (5 enodes) 71.433 * * [simplify]: iters left: 3 (19 enodes) 71.439 * * [simplify]: iters left: 2 (27 enodes) 71.448 * * [simplify]: iters left: 1 (32 enodes) 71.456 * * [simplify]: Extracting #0: cost 1 inf + 0 71.456 * * [simplify]: Extracting #1: cost 8 inf + 0 71.456 * * [simplify]: Extracting #2: cost 7 inf + 45 71.456 * * [simplify]: Extracting #3: cost 0 inf + 421 71.456 * [simplify]: Simplified to (* (* PI 2) n) 71.456 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.456 * * * * [progress]: [ 7 / 307 ] simplifiying candidate # 71.457 * [simplify]: Simplifying (* n (* 2 PI)) 71.457 * * [simplify]: iters left: 4 (5 enodes) 71.459 * * [simplify]: iters left: 3 (19 enodes) 71.466 * * [simplify]: iters left: 2 (27 enodes) 71.474 * * [simplify]: iters left: 1 (32 enodes) 71.482 * * [simplify]: Extracting #0: cost 1 inf + 0 71.482 * * [simplify]: Extracting #1: cost 8 inf + 0 71.482 * * [simplify]: Extracting #2: cost 7 inf + 45 71.482 * * [simplify]: Extracting #3: cost 0 inf + 421 71.483 * [simplify]: Simplified to (* (* PI 2) n) 71.483 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.483 * * * * [progress]: [ 8 / 307 ] simplifiying candidate # 71.483 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 71.483 * * [simplify]: iters left: 5 (8 enodes) 71.488 * * [simplify]: iters left: 4 (31 enodes) 71.494 * * [simplify]: iters left: 3 (51 enodes) 71.502 * * [simplify]: iters left: 2 (85 enodes) 71.517 * * [simplify]: iters left: 1 (152 enodes) 71.561 * * [simplify]: Extracting #0: cost 1 inf + 0 71.561 * * [simplify]: Extracting #1: cost 13 inf + 0 71.561 * * [simplify]: Extracting #2: cost 59 inf + 1 71.562 * * [simplify]: Extracting #3: cost 76 inf + 9 71.562 * * [simplify]: Extracting #4: cost 41 inf + 3303 71.564 * * [simplify]: Extracting #5: cost 16 inf + 10676 71.566 * * [simplify]: Extracting #6: cost 0 inf + 21028 71.569 * * [simplify]: Extracting #7: cost 0 inf + 20456 71.572 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 71.572 * [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)))))) 71.572 * * * * [progress]: [ 9 / 307 ] simplifiying candidate # 71.572 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 71.572 * * [simplify]: iters left: 5 (6 enodes) 71.575 * * [simplify]: iters left: 4 (26 enodes) 71.580 * * [simplify]: iters left: 3 (35 enodes) 71.590 * * [simplify]: Extracting #0: cost 1 inf + 0 71.590 * * [simplify]: Extracting #1: cost 3 inf + 0 71.591 * * [simplify]: Extracting #2: cost 8 inf + 0 71.591 * * [simplify]: Extracting #3: cost 11 inf + 2 71.591 * * [simplify]: Extracting #4: cost 8 inf + 87 71.591 * * [simplify]: Extracting #5: cost 2 inf + 500 71.591 * * [simplify]: Extracting #6: cost 0 inf + 746 71.592 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 71.592 * [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)))))) 71.592 * * * * [progress]: [ 10 / 307 ] simplifiying candidate # 71.592 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 71.592 * * [simplify]: iters left: 5 (6 enodes) 71.596 * * [simplify]: iters left: 4 (26 enodes) 71.606 * * [simplify]: iters left: 3 (35 enodes) 71.616 * * [simplify]: Extracting #0: cost 1 inf + 0 71.616 * * [simplify]: Extracting #1: cost 3 inf + 0 71.616 * * [simplify]: Extracting #2: cost 8 inf + 0 71.616 * * [simplify]: Extracting #3: cost 11 inf + 2 71.616 * * [simplify]: Extracting #4: cost 8 inf + 87 71.616 * * [simplify]: Extracting #5: cost 2 inf + 460 71.617 * * [simplify]: Extracting #6: cost 0 inf + 666 71.617 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 71.617 * [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)))))) 71.617 * * * * [progress]: [ 11 / 307 ] simplifiying candidate # 71.617 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 71.618 * * [simplify]: iters left: 5 (7 enodes) 71.622 * * [simplify]: iters left: 4 (25 enodes) 71.630 * * [simplify]: iters left: 3 (30 enodes) 71.640 * * [simplify]: Extracting #0: cost 1 inf + 0 71.640 * * [simplify]: Extracting #1: cost 4 inf + 0 71.640 * * [simplify]: Extracting #2: cost 8 inf + 0 71.640 * * [simplify]: Extracting #3: cost 10 inf + 82 71.640 * * [simplify]: Extracting #4: cost 7 inf + 206 71.641 * * [simplify]: Extracting #5: cost 2 inf + 575 71.641 * * [simplify]: Extracting #6: cost 1 inf + 818 71.641 * * [simplify]: Extracting #7: cost 0 inf + 1061 71.641 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 71.642 * [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)))))) 71.642 * * * * [progress]: [ 12 / 307 ] simplifiying candidate # 71.642 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 71.642 * * [simplify]: iters left: 5 (7 enodes) 71.646 * * [simplify]: iters left: 4 (25 enodes) 71.655 * * [simplify]: iters left: 3 (30 enodes) 71.665 * * [simplify]: Extracting #0: cost 1 inf + 0 71.665 * * [simplify]: Extracting #1: cost 4 inf + 0 71.665 * * [simplify]: Extracting #2: cost 8 inf + 0 71.665 * * [simplify]: Extracting #3: cost 10 inf + 42 71.665 * * [simplify]: Extracting #4: cost 7 inf + 126 71.666 * * [simplify]: Extracting #5: cost 2 inf + 495 71.666 * * [simplify]: Extracting #6: cost 1 inf + 698 71.666 * * [simplify]: Extracting #7: cost 0 inf + 901 71.669 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 71.669 * [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)))))) 71.669 * * * * [progress]: [ 13 / 307 ] simplifiying candidate # 71.670 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 71.670 * * [simplify]: iters left: 5 (6 enodes) 71.673 * * [simplify]: iters left: 4 (22 enodes) 71.681 * * [simplify]: iters left: 3 (27 enodes) 71.690 * * [simplify]: Extracting #0: cost 1 inf + 0 71.690 * * [simplify]: Extracting #1: cost 4 inf + 0 71.690 * * [simplify]: Extracting #2: cost 5 inf + 1 71.690 * * [simplify]: Extracting #3: cost 9 inf + 1 71.690 * * [simplify]: Extracting #4: cost 8 inf + 3 71.690 * * [simplify]: Extracting #5: cost 4 inf + 169 71.690 * * [simplify]: Extracting #6: cost 1 inf + 576 71.691 * * [simplify]: Extracting #7: cost 0 inf + 739 71.691 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 71.691 * [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))))) 71.691 * * * * [progress]: [ 14 / 307 ] simplifiying candidate # 71.691 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 71.692 * * [simplify]: iters left: 5 (7 enodes) 71.696 * * [simplify]: iters left: 4 (25 enodes) 71.704 * * [simplify]: iters left: 3 (30 enodes) 71.712 * * [simplify]: Extracting #0: cost 1 inf + 0 71.712 * * [simplify]: Extracting #1: cost 4 inf + 0 71.712 * * [simplify]: Extracting #2: cost 8 inf + 0 71.712 * * [simplify]: Extracting #3: cost 10 inf + 82 71.712 * * [simplify]: Extracting #4: cost 7 inf + 206 71.712 * * [simplify]: Extracting #5: cost 2 inf + 495 71.712 * * [simplify]: Extracting #6: cost 1 inf + 698 71.713 * * [simplify]: Extracting #7: cost 0 inf + 901 71.713 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 71.713 * [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)))))) 71.713 * * * * [progress]: [ 15 / 307 ] simplifiying candidate # 71.713 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 71.713 * * [simplify]: iters left: 5 (7 enodes) 71.715 * * [simplify]: iters left: 4 (25 enodes) 71.720 * * [simplify]: iters left: 3 (30 enodes) 71.725 * * [simplify]: Extracting #0: cost 1 inf + 0 71.725 * * [simplify]: Extracting #1: cost 4 inf + 0 71.725 * * [simplify]: Extracting #2: cost 8 inf + 0 71.725 * * [simplify]: Extracting #3: cost 10 inf + 42 71.725 * * [simplify]: Extracting #4: cost 7 inf + 126 71.725 * * [simplify]: Extracting #5: cost 2 inf + 415 71.725 * * [simplify]: Extracting #6: cost 1 inf + 578 71.725 * * [simplify]: Extracting #7: cost 0 inf + 741 71.726 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 71.726 * [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)))))) 71.726 * * * * [progress]: [ 16 / 307 ] simplifiying candidate # 71.726 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 71.726 * * [simplify]: iters left: 5 (6 enodes) 71.728 * * [simplify]: iters left: 4 (22 enodes) 71.731 * * [simplify]: iters left: 3 (27 enodes) 71.735 * * [simplify]: Extracting #0: cost 1 inf + 0 71.736 * * [simplify]: Extracting #1: cost 4 inf + 0 71.736 * * [simplify]: Extracting #2: cost 5 inf + 1 71.736 * * [simplify]: Extracting #3: cost 9 inf + 1 71.736 * * [simplify]: Extracting #4: cost 8 inf + 3 71.736 * * [simplify]: Extracting #5: cost 4 inf + 169 71.736 * * [simplify]: Extracting #6: cost 1 inf + 456 71.736 * * [simplify]: Extracting #7: cost 0 inf + 579 71.736 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 71.736 * [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))))) 71.736 * * * * [progress]: [ 17 / 307 ] simplifiying candidate # 71.736 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 71.736 * * [simplify]: iters left: 4 (6 enodes) 71.739 * * [simplify]: iters left: 3 (25 enodes) 71.743 * * [simplify]: iters left: 2 (36 enodes) 71.754 * * [simplify]: iters left: 1 (40 enodes) 71.766 * * [simplify]: Extracting #0: cost 1 inf + 0 71.766 * * [simplify]: Extracting #1: cost 7 inf + 0 71.766 * * [simplify]: Extracting #2: cost 16 inf + 0 71.766 * * [simplify]: Extracting #3: cost 13 inf + 44 71.766 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.767 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.767 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.767 * [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)))))) 71.768 * * * * [progress]: [ 18 / 307 ] simplifiying candidate # 71.768 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.768 * * [simplify]: iters left: 4 (6 enodes) 71.772 * * [simplify]: iters left: 3 (25 enodes) 71.781 * * [simplify]: iters left: 2 (36 enodes) 71.793 * * [simplify]: iters left: 1 (40 enodes) 71.808 * * [simplify]: Extracting #0: cost 1 inf + 0 71.808 * * [simplify]: Extracting #1: cost 7 inf + 0 71.808 * * [simplify]: Extracting #2: cost 16 inf + 0 71.808 * * [simplify]: Extracting #3: cost 13 inf + 44 71.808 * * [simplify]: Extracting #4: cost 3 inf + 823 71.809 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.809 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.809 * [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)))))) 71.809 * * * * [progress]: [ 19 / 307 ] simplifiying candidate # 71.810 * [simplify]: Simplifying (/ (- 1 k) 2) 71.810 * * [simplify]: iters left: 4 (5 enodes) 71.814 * * [simplify]: iters left: 3 (23 enodes) 71.821 * * [simplify]: iters left: 2 (32 enodes) 71.831 * * [simplify]: Extracting #0: cost 1 inf + 0 71.831 * * [simplify]: Extracting #1: cost 6 inf + 0 71.831 * * [simplify]: Extracting #2: cost 9 inf + 2 71.831 * * [simplify]: Extracting #3: cost 6 inf + 87 71.831 * * [simplify]: Extracting #4: cost 0 inf + 420 71.831 * [simplify]: Simplified to (/ (- 1 k) 2) 71.831 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 71.831 * * * * [progress]: [ 20 / 307 ] simplifiying candidate # 71.831 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 71.831 * * [simplify]: iters left: 5 (8 enodes) 71.834 * * [simplify]: iters left: 4 (31 enodes) 71.839 * * [simplify]: iters left: 3 (45 enodes) 71.846 * * [simplify]: iters left: 2 (51 enodes) 71.853 * * [simplify]: iters left: 1 (52 enodes) 71.860 * * [simplify]: Extracting #0: cost 1 inf + 0 71.860 * * [simplify]: Extracting #1: cost 8 inf + 0 71.860 * * [simplify]: Extracting #2: cost 18 inf + 0 71.860 * * [simplify]: Extracting #3: cost 19 inf + 2 71.860 * * [simplify]: Extracting #4: cost 9 inf + 977 71.860 * * [simplify]: Extracting #5: cost 2 inf + 1790 71.861 * * [simplify]: Extracting #6: cost 0 inf + 2195 71.861 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.861 * [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)))))) 71.861 * * * * [progress]: [ 21 / 307 ] simplifiying candidate # 71.861 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 71.862 * * [simplify]: iters left: 5 (8 enodes) 71.866 * * [simplify]: iters left: 4 (31 enodes) 71.877 * * [simplify]: iters left: 3 (45 enodes) 71.890 * * [simplify]: iters left: 2 (51 enodes) 71.904 * * [simplify]: iters left: 1 (52 enodes) 71.918 * * [simplify]: Extracting #0: cost 1 inf + 0 71.918 * * [simplify]: Extracting #1: cost 8 inf + 0 71.918 * * [simplify]: Extracting #2: cost 18 inf + 0 71.918 * * [simplify]: Extracting #3: cost 19 inf + 2 71.918 * * [simplify]: Extracting #4: cost 9 inf + 697 71.919 * * [simplify]: Extracting #5: cost 2 inf + 1390 71.919 * * [simplify]: Extracting #6: cost 0 inf + 1715 71.920 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.920 * [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)))))) 71.920 * * * * [progress]: [ 22 / 307 ] simplifiying candidate # 71.921 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 71.921 * * [simplify]: iters left: 5 (7 enodes) 71.927 * * [simplify]: iters left: 4 (29 enodes) 71.937 * * [simplify]: iters left: 3 (43 enodes) 71.948 * * [simplify]: iters left: 2 (47 enodes) 71.960 * * [simplify]: Extracting #0: cost 1 inf + 0 71.960 * * [simplify]: Extracting #1: cost 7 inf + 0 71.960 * * [simplify]: Extracting #2: cost 11 inf + 2 71.960 * * [simplify]: Extracting #3: cost 13 inf + 3 71.960 * * [simplify]: Extracting #4: cost 11 inf + 45 71.960 * * [simplify]: Extracting #5: cost 0 inf + 1066 71.961 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.961 * [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))))) 71.961 * * * * [progress]: [ 23 / 307 ] simplifiying candidate # 71.961 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 71.961 * * [simplify]: iters left: 5 (7 enodes) 71.965 * * [simplify]: iters left: 4 (28 enodes) 71.975 * * [simplify]: iters left: 3 (39 enodes) 71.985 * * [simplify]: iters left: 2 (43 enodes) 71.998 * * [simplify]: Extracting #0: cost 1 inf + 0 71.998 * * [simplify]: Extracting #1: cost 7 inf + 0 71.998 * * [simplify]: Extracting #2: cost 16 inf + 0 71.999 * * [simplify]: Extracting #3: cost 15 inf + 164 71.999 * * [simplify]: Extracting #4: cost 13 inf + 287 71.999 * * [simplify]: Extracting #5: cost 5 inf + 1180 72.000 * * [simplify]: Extracting #6: cost 0 inf + 1951 72.000 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 72.000 * [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)))))) 72.000 * * * * [progress]: [ 24 / 307 ] simplifiying candidate # 72.001 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 72.001 * * [simplify]: iters left: 5 (7 enodes) 72.005 * * [simplify]: iters left: 4 (28 enodes) 72.015 * * [simplify]: iters left: 3 (39 enodes) 72.027 * * [simplify]: iters left: 2 (43 enodes) 72.040 * * [simplify]: Extracting #0: cost 1 inf + 0 72.040 * * [simplify]: Extracting #1: cost 7 inf + 0 72.040 * * [simplify]: Extracting #2: cost 16 inf + 0 72.040 * * [simplify]: Extracting #3: cost 15 inf + 84 72.040 * * [simplify]: Extracting #4: cost 13 inf + 167 72.041 * * [simplify]: Extracting #5: cost 5 inf + 900 72.041 * * [simplify]: Extracting #6: cost 0 inf + 1551 72.042 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 72.042 * [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)))))) 72.042 * * * * [progress]: [ 25 / 307 ] simplifiying candidate # 72.042 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 72.043 * * [simplify]: iters left: 5 (6 enodes) 72.047 * * [simplify]: iters left: 4 (26 enodes) 72.056 * * [simplify]: iters left: 3 (35 enodes) 72.067 * * [simplify]: Extracting #0: cost 1 inf + 0 72.067 * * [simplify]: Extracting #1: cost 6 inf + 0 72.067 * * [simplify]: Extracting #2: cost 9 inf + 2 72.067 * * [simplify]: Extracting #3: cost 11 inf + 3 72.067 * * [simplify]: Extracting #4: cost 10 inf + 4 72.067 * * [simplify]: Extracting #5: cost 3 inf + 535 72.068 * * [simplify]: Extracting #6: cost 0 inf + 822 72.068 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 72.068 * [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))))) 72.068 * * * * [progress]: [ 26 / 307 ] simplifiying candidate # 72.069 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 72.069 * * [simplify]: iters left: 4 (6 enodes) 72.073 * * [simplify]: iters left: 3 (25 enodes) 72.083 * * [simplify]: iters left: 2 (36 enodes) 72.095 * * [simplify]: iters left: 1 (40 enodes) 72.108 * * [simplify]: Extracting #0: cost 1 inf + 0 72.108 * * [simplify]: Extracting #1: cost 7 inf + 0 72.108 * * [simplify]: Extracting #2: cost 16 inf + 0 72.108 * * [simplify]: Extracting #3: cost 13 inf + 44 72.109 * * [simplify]: Extracting #4: cost 3 inf + 1103 72.109 * * [simplify]: Extracting #5: cost 0 inf + 1469 72.110 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 72.110 * [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)))))) 72.110 * * * * [progress]: [ 27 / 307 ] simplifiying candidate # 72.110 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 72.110 * * [simplify]: iters left: 4 (6 enodes) 72.114 * * [simplify]: iters left: 3 (25 enodes) 72.123 * * [simplify]: iters left: 2 (36 enodes) 72.135 * * [simplify]: iters left: 1 (40 enodes) 72.147 * * [simplify]: Extracting #0: cost 1 inf + 0 72.147 * * [simplify]: Extracting #1: cost 7 inf + 0 72.147 * * [simplify]: Extracting #2: cost 16 inf + 0 72.147 * * [simplify]: Extracting #3: cost 13 inf + 44 72.148 * * [simplify]: Extracting #4: cost 3 inf + 823 72.148 * * [simplify]: Extracting #5: cost 0 inf + 1069 72.149 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 72.149 * [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)))))) 72.149 * * * * [progress]: [ 28 / 307 ] simplifiying candidate # 72.149 * [simplify]: Simplifying (/ (- 1 k) 2) 72.149 * * [simplify]: iters left: 4 (5 enodes) 72.153 * * [simplify]: iters left: 3 (23 enodes) 72.161 * * [simplify]: iters left: 2 (32 enodes) 72.169 * * [simplify]: Extracting #0: cost 1 inf + 0 72.169 * * [simplify]: Extracting #1: cost 6 inf + 0 72.169 * * [simplify]: Extracting #2: cost 9 inf + 2 72.169 * * [simplify]: Extracting #3: cost 6 inf + 87 72.169 * * [simplify]: Extracting #4: cost 0 inf + 420 72.169 * [simplify]: Simplified to (/ (- 1 k) 2) 72.169 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 72.169 * * * * [progress]: [ 29 / 307 ] simplifiying candidate # 72.170 * [simplify]: Simplifying (/ (- 1 k) 2) 72.170 * * [simplify]: iters left: 4 (5 enodes) 72.172 * * [simplify]: iters left: 3 (23 enodes) 72.176 * * [simplify]: iters left: 2 (32 enodes) 72.181 * * [simplify]: Extracting #0: cost 1 inf + 0 72.181 * * [simplify]: Extracting #1: cost 6 inf + 0 72.181 * * [simplify]: Extracting #2: cost 9 inf + 2 72.181 * * [simplify]: Extracting #3: cost 6 inf + 87 72.181 * * [simplify]: Extracting #4: cost 0 inf + 420 72.181 * [simplify]: Simplified to (/ (- 1 k) 2) 72.181 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 72.181 * * * * [progress]: [ 30 / 307 ] simplifiying candidate # 72.182 * [simplify]: Simplifying (/ 1 2) 72.182 * * [simplify]: iters left: 2 (3 enodes) 72.183 * * [simplify]: iters left: 1 (12 enodes) 72.186 * * [simplify]: Extracting #0: cost 1 inf + 0 72.186 * * [simplify]: Extracting #1: cost 0 inf + 1 72.186 * [simplify]: Simplified to 1/2 72.186 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 72.186 * * * * [progress]: [ 31 / 307 ] simplifiying candidate # 72.186 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 72.186 * * [simplify]: iters left: 5 (7 enodes) 72.189 * * [simplify]: iters left: 4 (32 enodes) 72.195 * * [simplify]: iters left: 3 (57 enodes) 72.211 * * [simplify]: iters left: 2 (88 enodes) 72.245 * * [simplify]: iters left: 1 (156 enodes) 72.282 * * [simplify]: Extracting #0: cost 1 inf + 0 72.282 * * [simplify]: Extracting #1: cost 13 inf + 0 72.282 * * [simplify]: Extracting #2: cost 49 inf + 2 72.283 * * [simplify]: Extracting #3: cost 80 inf + 6 72.284 * * [simplify]: Extracting #4: cost 58 inf + 1840 72.286 * * [simplify]: Extracting #5: cost 22 inf + 9206 72.289 * * [simplify]: Extracting #6: cost 1 inf + 20886 72.292 * * [simplify]: Extracting #7: cost 0 inf + 21301 72.295 * * [simplify]: Extracting #8: cost 0 inf + 21130 72.298 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 72.298 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 72.298 * * * * [progress]: [ 32 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 33 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 34 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 35 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 36 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 37 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 38 / 307 ] simplifiying candidate # 72.298 * * * * [progress]: [ 39 / 307 ] simplifiying candidate # 72.299 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 72.299 * * * * [progress]: [ 41 / 307 ] simplifiying candidate # 72.299 * [simplify]: Simplifying (* n (* 2 PI)) 72.299 * * [simplify]: iters left: 4 (5 enodes) 72.300 * * [simplify]: iters left: 3 (19 enodes) 72.304 * * [simplify]: iters left: 2 (27 enodes) 72.308 * * [simplify]: iters left: 1 (32 enodes) 72.313 * * [simplify]: Extracting #0: cost 1 inf + 0 72.313 * * [simplify]: Extracting #1: cost 8 inf + 0 72.313 * * [simplify]: Extracting #2: cost 7 inf + 45 72.313 * * [simplify]: Extracting #3: cost 0 inf + 421 72.313 * [simplify]: Simplified to (* (* PI 2) n) 72.313 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.313 * * * * [progress]: [ 42 / 307 ] simplifiying candidate # 72.313 * [simplify]: Simplifying (* n (* 2 PI)) 72.313 * * [simplify]: iters left: 4 (5 enodes) 72.317 * * [simplify]: iters left: 3 (19 enodes) 72.320 * * [simplify]: iters left: 2 (27 enodes) 72.327 * * [simplify]: iters left: 1 (32 enodes) 72.336 * * [simplify]: Extracting #0: cost 1 inf + 0 72.336 * * [simplify]: Extracting #1: cost 8 inf + 0 72.336 * * [simplify]: Extracting #2: cost 7 inf + 45 72.336 * * [simplify]: Extracting #3: cost 0 inf + 421 72.336 * [simplify]: Simplified to (* (* PI 2) n) 72.337 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.337 * * * * [progress]: [ 43 / 307 ] simplifiying candidate # 72.337 * * * * [progress]: [ 44 / 307 ] simplifiying candidate # 72.337 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 72.337 * * [simplify]: iters left: 5 (8 enodes) 72.342 * * [simplify]: iters left: 4 (28 enodes) 72.351 * * [simplify]: iters left: 3 (36 enodes) 72.358 * * [simplify]: iters left: 2 (42 enodes) 72.364 * * [simplify]: Extracting #0: cost 1 inf + 0 72.364 * * [simplify]: Extracting #1: cost 8 inf + 0 72.364 * * [simplify]: Extracting #2: cost 17 inf + 0 72.364 * * [simplify]: Extracting #3: cost 12 inf + 145 72.364 * * [simplify]: Extracting #4: cost 5 inf + 1197 72.364 * * [simplify]: Extracting #5: cost 1 inf + 1925 72.365 * * [simplify]: Extracting #6: cost 0 inf + 2107 72.365 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 72.365 * [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))))) 72.365 * * * * [progress]: [ 45 / 307 ] simplifiying candidate # 72.365 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 72.365 * * [simplify]: iters left: 5 (7 enodes) 72.367 * * [simplify]: iters left: 4 (26 enodes) 72.372 * * [simplify]: iters left: 3 (35 enodes) 72.377 * * [simplify]: iters left: 2 (44 enodes) 72.384 * * [simplify]: Extracting #0: cost 1 inf + 0 72.384 * * [simplify]: Extracting #1: cost 8 inf + 0 72.384 * * [simplify]: Extracting #2: cost 18 inf + 0 72.384 * * [simplify]: Extracting #3: cost 15 inf + 74 72.384 * * [simplify]: Extracting #4: cost 8 inf + 554 72.384 * * [simplify]: Extracting #5: cost 0 inf + 1911 72.385 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 72.385 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 72.385 * * * * [progress]: [ 46 / 307 ] simplifiying candidate # 72.385 * * * * [progress]: [ 47 / 307 ] simplifiying candidate # 72.385 * * * * [progress]: [ 48 / 307 ] simplifiying candidate # 72.385 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 72.385 * * [simplify]: iters left: 6 (11 enodes) 72.390 * * [simplify]: iters left: 5 (48 enodes) 72.402 * * [simplify]: iters left: 4 (121 enodes) 72.462 * * [simplify]: iters left: 3 (348 enodes) 72.700 * * [simplify]: Extracting #0: cost 1 inf + 0 72.700 * * [simplify]: Extracting #1: cost 67 inf + 0 72.701 * * [simplify]: Extracting #2: cost 165 inf + 786 72.704 * * [simplify]: Extracting #3: cost 85 inf + 10177 72.712 * * [simplify]: Extracting #4: cost 9 inf + 26399 72.718 * * [simplify]: Extracting #5: cost 0 inf + 28546 72.725 * * [simplify]: Extracting #6: cost 0 inf + 28506 72.731 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 72.732 * [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))))) 72.732 * * * * [progress]: [ 49 / 307 ] simplifiying candidate # 72.732 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 72.732 * * [simplify]: iters left: 6 (9 enodes) 72.735 * * [simplify]: iters left: 5 (45 enodes) 72.748 * * [simplify]: iters left: 4 (117 enodes) 72.791 * * [simplify]: iters left: 3 (374 enodes) 73.159 * * [simplify]: Extracting #0: cost 1 inf + 0 73.159 * * [simplify]: Extracting #1: cost 77 inf + 0 73.161 * * [simplify]: Extracting #2: cost 184 inf + 984 73.173 * * [simplify]: Extracting #3: cost 106 inf + 11690 73.190 * * [simplify]: Extracting #4: cost 6 inf + 30376 73.208 * * [simplify]: Extracting #5: cost 0 inf + 31644 73.226 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 73.226 * [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))))) 73.226 * * * * [progress]: [ 50 / 307 ] simplifiying candidate # 73.226 * * * * [progress]: [ 51 / 307 ] simplifiying candidate # 73.226 * * * * [progress]: [ 52 / 307 ] simplifiying candidate # 73.226 * * * * [progress]: [ 53 / 307 ] simplifiying candidate # 73.227 * * * * [progress]: [ 54 / 307 ] simplifiying candidate # 73.227 * * * * [progress]: [ 55 / 307 ] simplifiying candidate # 73.227 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 73.227 * * [simplify]: iters left: 3 (3 enodes) 73.228 * * [simplify]: iters left: 2 (9 enodes) 73.231 * * [simplify]: Extracting #0: cost 1 inf + 0 73.231 * * [simplify]: Extracting #1: cost 3 inf + 0 73.231 * * [simplify]: Extracting #2: cost 5 inf + 0 73.231 * * [simplify]: Extracting #3: cost 4 inf + 1 73.231 * * [simplify]: Extracting #4: cost 0 inf + 405 73.231 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 73.231 * [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))))) 73.232 * * * * [progress]: [ 56 / 307 ] simplifiying candidate # 73.232 * [simplify]: Simplifying (sqrt n) 73.232 * * [simplify]: iters left: 1 (2 enodes) 73.233 * * [simplify]: Extracting #0: cost 1 inf + 0 73.233 * * [simplify]: Extracting #1: cost 3 inf + 0 73.233 * * [simplify]: Extracting #2: cost 2 inf + 1 73.233 * * [simplify]: Extracting #3: cost 0 inf + 83 73.233 * [simplify]: Simplified to (sqrt n) 73.233 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 73.233 * * * * [progress]: [ 57 / 307 ] simplifiying candidate # 73.233 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 73.233 * * * * [progress]: [ 59 / 307 ] simplifiying candidate # 73.233 * * * * [progress]: [ 60 / 307 ] simplifiying candidate # 73.233 * * * * [progress]: [ 61 / 307 ] simplifiying candidate # 73.234 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 73.234 * * [simplify]: iters left: 6 (16 enodes) 73.243 * * [simplify]: iters left: 5 (65 enodes) 73.264 * * [simplify]: iters left: 4 (119 enodes) 73.318 * * [simplify]: iters left: 3 (355 enodes) 73.431 * * [simplify]: Extracting #0: cost 1 inf + 0 73.431 * * [simplify]: Extracting #1: cost 29 inf + 0 73.431 * * [simplify]: Extracting #2: cost 124 inf + 0 73.432 * * [simplify]: Extracting #3: cost 216 inf + 73 73.433 * * [simplify]: Extracting #4: cost 237 inf + 2210 73.440 * * [simplify]: Extracting #5: cost 131 inf + 26826 73.461 * * [simplify]: Extracting #6: cost 25 inf + 60609 73.478 * * [simplify]: Extracting #7: cost 0 inf + 67495 73.494 * * [simplify]: Extracting #8: cost 0 inf + 67455 73.514 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 73.514 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 73.514 * * * * [progress]: [ 62 / 307 ] simplifiying candidate # 73.515 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 73.515 * * [simplify]: iters left: 6 (15 enodes) 73.523 * * [simplify]: iters left: 5 (63 enodes) 73.544 * * [simplify]: iters left: 4 (112 enodes) 73.581 * * [simplify]: iters left: 3 (287 enodes) 73.714 * * [simplify]: Extracting #0: cost 1 inf + 0 73.714 * * [simplify]: Extracting #1: cost 25 inf + 0 73.715 * * [simplify]: Extracting #2: cost 104 inf + 0 73.716 * * [simplify]: Extracting #3: cost 192 inf + 2 73.720 * * [simplify]: Extracting #4: cost 180 inf + 9535 73.737 * * [simplify]: Extracting #5: cost 35 inf + 42841 73.758 * * [simplify]: Extracting #6: cost 0 inf + 53062 73.778 * * [simplify]: Extracting #7: cost 0 inf + 52902 73.789 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 73.789 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 73.789 * * * * [progress]: [ 63 / 307 ] simplifiying candidate # 73.789 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 73.789 * * [simplify]: iters left: 6 (14 enodes) 73.793 * * [simplify]: iters left: 5 (62 enodes) 73.804 * * [simplify]: iters left: 4 (119 enodes) 73.834 * * [simplify]: iters left: 3 (269 enodes) 73.941 * * [simplify]: Extracting #0: cost 1 inf + 0 73.941 * * [simplify]: Extracting #1: cost 15 inf + 0 73.942 * * [simplify]: Extracting #2: cost 85 inf + 0 73.943 * * [simplify]: Extracting #3: cost 176 inf + 2 73.944 * * [simplify]: Extracting #4: cost 205 inf + 691 73.949 * * [simplify]: Extracting #5: cost 135 inf + 11856 73.959 * * [simplify]: Extracting #6: cost 26 inf + 35442 73.968 * * [simplify]: Extracting #7: cost 0 inf + 42333 73.977 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))) 73.977 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))))) 73.977 * * * * [progress]: [ 64 / 307 ] simplifiying candidate # 73.977 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 73.978 * * [simplify]: iters left: 6 (14 enodes) 73.982 * * [simplify]: iters left: 5 (62 enodes) 73.999 * * [simplify]: iters left: 4 (119 enodes) 74.023 * * [simplify]: iters left: 3 (269 enodes) 74.110 * * [simplify]: Extracting #0: cost 1 inf + 0 74.111 * * [simplify]: Extracting #1: cost 15 inf + 0 74.111 * * [simplify]: Extracting #2: cost 85 inf + 0 74.112 * * [simplify]: Extracting #3: cost 176 inf + 2 74.114 * * [simplify]: Extracting #4: cost 205 inf + 691 74.118 * * [simplify]: Extracting #5: cost 135 inf + 11856 74.134 * * [simplify]: Extracting #6: cost 26 inf + 35442 74.151 * * [simplify]: Extracting #7: cost 0 inf + 42333 74.161 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))) 74.161 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))))) 74.161 * * * * [progress]: [ 65 / 307 ] simplifiying candidate # 74.162 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.162 * * [simplify]: iters left: 6 (14 enodes) 74.166 * * [simplify]: iters left: 5 (61 enodes) 74.177 * * [simplify]: iters left: 4 (111 enodes) 74.209 * * [simplify]: iters left: 3 (249 enodes) 74.303 * * [simplify]: Extracting #0: cost 1 inf + 0 74.303 * * [simplify]: Extracting #1: cost 19 inf + 0 74.304 * * [simplify]: Extracting #2: cost 118 inf + 0 74.305 * * [simplify]: Extracting #3: cost 202 inf + 2 74.308 * * [simplify]: Extracting #4: cost 206 inf + 6851 74.320 * * [simplify]: Extracting #5: cost 48 inf + 39657 74.334 * * [simplify]: Extracting #6: cost 6 inf + 49892 74.346 * * [simplify]: Extracting #7: cost 0 inf + 53118 74.356 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 74.356 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 74.357 * * * * [progress]: [ 66 / 307 ] simplifiying candidate # 74.357 * * * * [progress]: [ 67 / 307 ] simplifiying candidate # 74.357 * * * * [progress]: [ 68 / 307 ] simplifiying candidate # 74.357 * [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)))) 74.357 * * [simplify]: iters left: 6 (16 enodes) 74.362 * * [simplify]: iters left: 5 (72 enodes) 74.375 * * [simplify]: iters left: 4 (163 enodes) 74.832 * * [simplify]: iters left: 3 (439 enodes) 75.062 * * [simplify]: Extracting #0: cost 1 inf + 0 75.062 * * [simplify]: Extracting #1: cost 116 inf + 0 75.065 * * [simplify]: Extracting #2: cost 336 inf + 123 75.068 * * [simplify]: Extracting #3: cost 402 inf + 248 75.072 * * [simplify]: Extracting #4: cost 376 inf + 4412 75.084 * * [simplify]: Extracting #5: cost 231 inf + 81095 75.125 * * [simplify]: Extracting #6: cost 14 inf + 243570 75.174 * * [simplify]: Extracting #7: cost 0 inf + 250240 75.231 * * [simplify]: Extracting #8: cost 0 inf + 250000 75.299 * [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)))) 75.299 * [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))))))) 75.300 * * * * [progress]: [ 69 / 307 ] simplifiying candidate # 75.300 * * * * [progress]: [ 70 / 307 ] simplifiying candidate # 75.300 * * * * [progress]: [ 71 / 307 ] simplifiying candidate # 75.300 * * * * [progress]: [ 72 / 307 ] simplifiying candidate # 75.300 * * * * [progress]: [ 73 / 307 ] simplifiying candidate # 75.300 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.300 * * [simplify]: iters left: 6 (11 enodes) 75.307 * * [simplify]: iters left: 5 (46 enodes) 75.323 * * [simplify]: iters left: 4 (76 enodes) 75.350 * * [simplify]: iters left: 3 (136 enodes) 75.398 * * [simplify]: iters left: 2 (291 enodes) 75.484 * * [simplify]: Extracting #0: cost 1 inf + 0 75.484 * * [simplify]: Extracting #1: cost 43 inf + 0 75.485 * * [simplify]: Extracting #2: cost 140 inf + 0 75.485 * * [simplify]: Extracting #3: cost 198 inf + 3 75.486 * * [simplify]: Extracting #4: cost 180 inf + 2985 75.489 * * [simplify]: Extracting #5: cost 137 inf + 11543 75.495 * * [simplify]: Extracting #6: cost 53 inf + 60802 75.519 * * [simplify]: Extracting #7: cost 3 inf + 100516 75.545 * * [simplify]: Extracting #8: cost 0 inf + 101980 75.570 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.570 * [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)))))) 75.570 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 75.571 * * [simplify]: iters left: 6 (11 enodes) 75.577 * * [simplify]: iters left: 5 (45 enodes) 75.596 * * [simplify]: iters left: 4 (68 enodes) 75.620 * * [simplify]: iters left: 3 (108 enodes) 75.649 * * [simplify]: iters left: 2 (205 enodes) 75.710 * * [simplify]: iters left: 1 (384 enodes) 75.842 * * [simplify]: Extracting #0: cost 1 inf + 0 75.842 * * [simplify]: Extracting #1: cost 6 inf + 0 75.842 * * [simplify]: Extracting #2: cost 36 inf + 0 75.843 * * [simplify]: Extracting #3: cost 122 inf + 1 75.844 * * [simplify]: Extracting #4: cost 155 inf + 832 75.851 * * [simplify]: Extracting #5: cost 86 inf + 26046 75.867 * * [simplify]: Extracting #6: cost 12 inf + 63304 75.888 * * [simplify]: Extracting #7: cost 0 inf + 68976 75.908 * * [simplify]: Extracting #8: cost 0 inf + 68724 75.931 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 75.932 * [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))))))) 75.932 * * * * [progress]: [ 74 / 307 ] simplifiying candidate # 75.932 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 75.932 * * [simplify]: iters left: 6 (16 enodes) 75.940 * * [simplify]: iters left: 5 (69 enodes) 75.952 * * [simplify]: iters left: 4 (113 enodes) 75.970 * * [simplify]: iters left: 3 (161 enodes) 76.014 * * [simplify]: iters left: 2 (255 enodes) 76.082 * * [simplify]: iters left: 1 (422 enodes) 76.236 * * [simplify]: Extracting #0: cost 1 inf + 0 76.236 * * [simplify]: Extracting #1: cost 11 inf + 0 76.236 * * [simplify]: Extracting #2: cost 22 inf + 0 76.236 * * [simplify]: Extracting #3: cost 47 inf + 0 76.236 * * [simplify]: Extracting #4: cost 118 inf + 43 76.237 * * [simplify]: Extracting #5: cost 156 inf + 1327 76.242 * * [simplify]: Extracting #6: cost 62 inf + 33445 76.255 * * [simplify]: Extracting #7: cost 5 inf + 58955 76.268 * * [simplify]: Extracting #8: cost 0 inf + 59292 76.290 * * [simplify]: Extracting #9: cost 0 inf + 59174 76.311 * [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)))))) 76.311 * [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))))))) 76.312 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.312 * * [simplify]: iters left: 6 (14 enodes) 76.316 * * [simplify]: iters left: 5 (57 enodes) 76.326 * * [simplify]: iters left: 4 (90 enodes) 76.349 * * [simplify]: iters left: 3 (126 enodes) 76.377 * * [simplify]: iters left: 2 (194 enodes) 76.415 * * [simplify]: iters left: 1 (356 enodes) 76.562 * * [simplify]: Extracting #0: cost 1 inf + 0 76.562 * * [simplify]: Extracting #1: cost 4 inf + 0 76.562 * * [simplify]: Extracting #2: cost 8 inf + 0 76.563 * * [simplify]: Extracting #3: cost 34 inf + 0 76.563 * * [simplify]: Extracting #4: cost 118 inf + 43 76.564 * * [simplify]: Extracting #5: cost 153 inf + 422 76.567 * * [simplify]: Extracting #6: cost 109 inf + 6175 76.574 * * [simplify]: Extracting #7: cost 63 inf + 17898 76.586 * * [simplify]: Extracting #8: cost 19 inf + 51306 76.605 * * [simplify]: Extracting #9: cost 0 inf + 68370 76.624 * * [simplify]: Extracting #10: cost 0 inf + 67780 76.643 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 76.643 * [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))))))) 76.643 * * * * [progress]: [ 75 / 307 ] simplifiying candidate # 76.644 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.644 * * [simplify]: iters left: 6 (15 enodes) 76.654 * * [simplify]: iters left: 5 (62 enodes) 76.665 * * [simplify]: iters left: 4 (96 enodes) 76.680 * * [simplify]: iters left: 3 (140 enodes) 76.726 * * [simplify]: iters left: 2 (228 enodes) 76.777 * * [simplify]: iters left: 1 (383 enodes) 76.959 * * [simplify]: Extracting #0: cost 1 inf + 0 76.959 * * [simplify]: Extracting #1: cost 7 inf + 0 76.959 * * [simplify]: Extracting #2: cost 15 inf + 0 76.959 * * [simplify]: Extracting #3: cost 41 inf + 0 76.960 * * [simplify]: Extracting #4: cost 114 inf + 84 76.961 * * [simplify]: Extracting #5: cost 154 inf + 1041 76.966 * * [simplify]: Extracting #6: cost 79 inf + 15099 76.976 * * [simplify]: Extracting #7: cost 35 inf + 32031 76.985 * * [simplify]: Extracting #8: cost 0 inf + 60239 76.996 * * [simplify]: Extracting #9: cost 0 inf + 59461 77.005 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) 77.006 * [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))))))) 77.006 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.006 * * [simplify]: iters left: 6 (14 enodes) 77.014 * * [simplify]: iters left: 5 (57 enodes) 77.033 * * [simplify]: iters left: 4 (91 enodes) 77.062 * * [simplify]: iters left: 3 (127 enodes) 77.097 * * [simplify]: iters left: 2 (195 enodes) 77.154 * * [simplify]: iters left: 1 (361 enodes) 77.300 * * [simplify]: Extracting #0: cost 1 inf + 0 77.300 * * [simplify]: Extracting #1: cost 4 inf + 0 77.300 * * [simplify]: Extracting #2: cost 9 inf + 0 77.300 * * [simplify]: Extracting #3: cost 37 inf + 0 77.300 * * [simplify]: Extracting #4: cost 126 inf + 43 77.301 * * [simplify]: Extracting #5: cost 158 inf + 547 77.303 * * [simplify]: Extracting #6: cost 117 inf + 5978 77.311 * * [simplify]: Extracting #7: cost 33 inf + 39225 77.322 * * [simplify]: Extracting #8: cost 0 inf + 69096 77.342 * * [simplify]: Extracting #9: cost 0 inf + 67302 77.353 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 77.353 * [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))))))) 77.353 * * * * [progress]: [ 76 / 307 ] simplifiying candidate # 77.354 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 77.354 * * [simplify]: iters left: 6 (6 enodes) 77.355 * * [simplify]: iters left: 5 (20 enodes) 77.360 * * [simplify]: iters left: 4 (30 enodes) 77.364 * * [simplify]: iters left: 3 (31 enodes) 77.369 * * [simplify]: Extracting #0: cost 1 inf + 0 77.369 * * [simplify]: Extracting #1: cost 5 inf + 0 77.369 * * [simplify]: Extracting #2: cost 7 inf + 1 77.369 * * [simplify]: Extracting #3: cost 9 inf + 1 77.369 * * [simplify]: Extracting #4: cost 8 inf + 2 77.369 * * [simplify]: Extracting #5: cost 0 inf + 972 77.369 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 77.369 * [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)))))) 77.369 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 77.370 * * [simplify]: iters left: 6 (13 enodes) 77.377 * * [simplify]: iters left: 5 (54 enodes) 77.395 * * [simplify]: iters left: 4 (85 enodes) 77.423 * * [simplify]: iters left: 3 (127 enodes) 77.457 * * [simplify]: iters left: 2 (219 enodes) 77.524 * * [simplify]: iters left: 1 (389 enodes) 77.653 * * [simplify]: Extracting #0: cost 1 inf + 0 77.653 * * [simplify]: Extracting #1: cost 6 inf + 0 77.653 * * [simplify]: Extracting #2: cost 40 inf + 0 77.654 * * [simplify]: Extracting #3: cost 126 inf + 1 77.654 * * [simplify]: Extracting #4: cost 162 inf + 709 77.656 * * [simplify]: Extracting #5: cost 126 inf + 3654 77.660 * * [simplify]: Extracting #6: cost 59 inf + 29904 77.676 * * [simplify]: Extracting #7: cost 4 inf + 69404 77.698 * * [simplify]: Extracting #8: cost 0 inf + 71212 77.720 * * [simplify]: Extracting #9: cost 0 inf + 71211 77.747 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 77.747 * [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)))))) 77.747 * * * * [progress]: [ 77 / 307 ] simplifiying candidate # 77.748 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 77.748 * * [simplify]: iters left: 6 (15 enodes) 77.756 * * [simplify]: iters left: 5 (65 enodes) 77.770 * * [simplify]: iters left: 4 (107 enodes) 77.788 * * [simplify]: iters left: 3 (179 enodes) 77.852 * * [simplify]: iters left: 2 (347 enodes) 77.967 * * [simplify]: Extracting #0: cost 1 inf + 0 77.967 * * [simplify]: Extracting #1: cost 45 inf + 0 77.968 * * [simplify]: Extracting #2: cost 139 inf + 0 77.968 * * [simplify]: Extracting #3: cost 207 inf + 2 77.970 * * [simplify]: Extracting #4: cost 181 inf + 6532 77.974 * * [simplify]: Extracting #5: cost 109 inf + 33173 77.992 * * [simplify]: Extracting #6: cost 9 inf + 107364 78.024 * * [simplify]: Extracting #7: cost 0 inf + 114103 78.042 * * [simplify]: Extracting #8: cost 0 inf + 113771 78.068 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 78.068 * [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)))))) 78.068 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.069 * * [simplify]: iters left: 6 (14 enodes) 78.079 * * [simplify]: iters left: 5 (60 enodes) 78.089 * * [simplify]: iters left: 4 (98 enodes) 78.107 * * [simplify]: iters left: 3 (154 enodes) 78.159 * * [simplify]: iters left: 2 (277 enodes) 78.240 * * [simplify]: iters left: 1 (498 enodes) 78.407 * * [simplify]: Extracting #0: cost 1 inf + 0 78.407 * * [simplify]: Extracting #1: cost 6 inf + 0 78.407 * * [simplify]: Extracting #2: cost 35 inf + 0 78.408 * * [simplify]: Extracting #3: cost 126 inf + 1 78.409 * * [simplify]: Extracting #4: cost 200 inf + 342 78.412 * * [simplify]: Extracting #5: cost 139 inf + 10990 78.423 * * [simplify]: Extracting #6: cost 55 inf + 29402 78.444 * * [simplify]: Extracting #7: cost 11 inf + 64540 78.456 * * [simplify]: Extracting #8: cost 0 inf + 72644 78.468 * * [simplify]: Extracting #9: cost 0 inf + 72524 78.485 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 78.485 * [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))))))) 78.485 * * * * [progress]: [ 78 / 307 ] simplifiying candidate # 78.486 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 78.486 * * [simplify]: iters left: 6 (11 enodes) 78.492 * * [simplify]: iters left: 5 (45 enodes) 78.508 * * [simplify]: iters left: 4 (72 enodes) 78.530 * * [simplify]: iters left: 3 (111 enodes) 78.552 * * [simplify]: iters left: 2 (190 enodes) 78.617 * * [simplify]: iters left: 1 (359 enodes) 78.771 * * [simplify]: Extracting #0: cost 1 inf + 0 78.771 * * [simplify]: Extracting #1: cost 6 inf + 0 78.771 * * [simplify]: Extracting #2: cost 39 inf + 0 78.772 * * [simplify]: Extracting #3: cost 121 inf + 2 78.772 * * [simplify]: Extracting #4: cost 147 inf + 660 78.774 * * [simplify]: Extracting #5: cost 107 inf + 6336 78.780 * * [simplify]: Extracting #6: cost 41 inf + 34752 78.797 * * [simplify]: Extracting #7: cost 0 inf + 65600 78.817 * * [simplify]: Extracting #8: cost 0 inf + 63832 78.837 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 78.837 * [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)))))) 78.837 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 78.837 * * [simplify]: iters left: 6 (11 enodes) 78.844 * * [simplify]: iters left: 5 (45 enodes) 78.860 * * [simplify]: iters left: 4 (68 enodes) 78.884 * * [simplify]: iters left: 3 (108 enodes) 78.928 * * [simplify]: iters left: 2 (205 enodes) 78.983 * * [simplify]: iters left: 1 (384 enodes) 79.116 * * [simplify]: Extracting #0: cost 1 inf + 0 79.116 * * [simplify]: Extracting #1: cost 6 inf + 0 79.116 * * [simplify]: Extracting #2: cost 36 inf + 0 79.117 * * [simplify]: Extracting #3: cost 122 inf + 1 79.118 * * [simplify]: Extracting #4: cost 155 inf + 912 79.121 * * [simplify]: Extracting #5: cost 86 inf + 26126 79.130 * * [simplify]: Extracting #6: cost 12 inf + 63384 79.140 * * [simplify]: Extracting #7: cost 0 inf + 69056 79.159 * * [simplify]: Extracting #8: cost 0 inf + 68804 79.169 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.169 * [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))))))) 79.169 * * * * [progress]: [ 79 / 307 ] simplifiying candidate # 79.170 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 79.170 * * [simplify]: iters left: 6 (16 enodes) 79.174 * * [simplify]: iters left: 5 (66 enodes) 79.186 * * [simplify]: iters left: 4 (97 enodes) 79.211 * * [simplify]: iters left: 3 (138 enodes) 79.238 * * [simplify]: iters left: 2 (229 enodes) 79.317 * * [simplify]: iters left: 1 (393 enodes) 79.478 * * [simplify]: Extracting #0: cost 1 inf + 0 79.478 * * [simplify]: Extracting #1: cost 6 inf + 0 79.478 * * [simplify]: Extracting #2: cost 13 inf + 0 79.478 * * [simplify]: Extracting #3: cost 37 inf + 0 79.478 * * [simplify]: Extracting #4: cost 110 inf + 83 79.479 * * [simplify]: Extracting #5: cost 153 inf + 955 79.481 * * [simplify]: Extracting #6: cost 101 inf + 7678 79.485 * * [simplify]: Extracting #7: cost 50 inf + 22283 79.493 * * [simplify]: Extracting #8: cost 6 inf + 56248 79.502 * * [simplify]: Extracting #9: cost 0 inf + 61782 79.511 * * [simplify]: Extracting #10: cost 0 inf + 61651 79.524 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 79.524 * [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))))))) 79.524 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 79.524 * * [simplify]: iters left: 6 (14 enodes) 79.528 * * [simplify]: iters left: 5 (57 enodes) 79.546 * * [simplify]: iters left: 4 (90 enodes) 79.575 * * [simplify]: iters left: 3 (126 enodes) 79.603 * * [simplify]: iters left: 2 (194 enodes) 79.655 * * [simplify]: iters left: 1 (356 enodes) 79.816 * * [simplify]: Extracting #0: cost 1 inf + 0 79.816 * * [simplify]: Extracting #1: cost 4 inf + 0 79.816 * * [simplify]: Extracting #2: cost 8 inf + 0 79.817 * * [simplify]: Extracting #3: cost 34 inf + 0 79.817 * * [simplify]: Extracting #4: cost 118 inf + 83 79.818 * * [simplify]: Extracting #5: cost 153 inf + 502 79.821 * * [simplify]: Extracting #6: cost 109 inf + 6255 79.828 * * [simplify]: Extracting #7: cost 63 inf + 17978 79.840 * * [simplify]: Extracting #8: cost 19 inf + 51386 79.862 * * [simplify]: Extracting #9: cost 0 inf + 68450 79.876 * * [simplify]: Extracting #10: cost 0 inf + 67860 79.885 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 79.885 * [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))))))) 79.886 * * * * [progress]: [ 80 / 307 ] simplifiying candidate # 79.886 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 79.886 * * [simplify]: iters left: 6 (15 enodes) 79.890 * * [simplify]: iters left: 5 (61 enodes) 79.900 * * [simplify]: iters left: 4 (91 enodes) 79.915 * * [simplify]: iters left: 3 (129 enodes) 79.940 * * [simplify]: iters left: 2 (215 enodes) 80.016 * * [simplify]: iters left: 1 (373 enodes) 80.167 * * [simplify]: Extracting #0: cost 1 inf + 0 80.168 * * [simplify]: Extracting #1: cost 4 inf + 0 80.168 * * [simplify]: Extracting #2: cost 10 inf + 0 80.168 * * [simplify]: Extracting #3: cost 37 inf + 0 80.169 * * [simplify]: Extracting #4: cost 113 inf + 83 80.170 * * [simplify]: Extracting #5: cost 130 inf + 1202 80.175 * * [simplify]: Extracting #6: cost 89 inf + 12118 80.181 * * [simplify]: Extracting #7: cost 16 inf + 46371 80.191 * * [simplify]: Extracting #8: cost 0 inf + 57720 80.202 * * [simplify]: Extracting #9: cost 0 inf + 57443 80.221 * [simplify]: Simplified to (/ (fabs (cbrt k)) (fabs (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))) 80.221 * [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))))))) 80.221 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.222 * * [simplify]: iters left: 6 (14 enodes) 80.228 * * [simplify]: iters left: 5 (57 enodes) 80.238 * * [simplify]: iters left: 4 (91 enodes) 80.253 * * [simplify]: iters left: 3 (127 enodes) 80.280 * * [simplify]: iters left: 2 (195 enodes) 80.327 * * [simplify]: iters left: 1 (361 enodes) 80.500 * * [simplify]: Extracting #0: cost 1 inf + 0 80.500 * * [simplify]: Extracting #1: cost 4 inf + 0 80.500 * * [simplify]: Extracting #2: cost 9 inf + 0 80.500 * * [simplify]: Extracting #3: cost 37 inf + 0 80.501 * * [simplify]: Extracting #4: cost 126 inf + 83 80.502 * * [simplify]: Extracting #5: cost 158 inf + 627 80.506 * * [simplify]: Extracting #6: cost 117 inf + 6058 80.517 * * [simplify]: Extracting #7: cost 33 inf + 39305 80.539 * * [simplify]: Extracting #8: cost 0 inf + 69176 80.560 * * [simplify]: Extracting #9: cost 0 inf + 67382 80.582 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.583 * [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))))))) 80.583 * * * * [progress]: [ 81 / 307 ] simplifiying candidate # 80.583 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 80.583 * * [simplify]: iters left: 6 (6 enodes) 80.587 * * [simplify]: iters left: 5 (19 enodes) 80.593 * * [simplify]: iters left: 4 (23 enodes) 80.600 * * [simplify]: Extracting #0: cost 1 inf + 0 80.600 * * [simplify]: Extracting #1: cost 5 inf + 0 80.600 * * [simplify]: Extracting #2: cost 7 inf + 1 80.600 * * [simplify]: Extracting #3: cost 6 inf + 2 80.600 * * [simplify]: Extracting #4: cost 0 inf + 648 80.600 * [simplify]: Simplified to (fabs (cbrt k)) 80.600 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 80.601 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 80.601 * * [simplify]: iters left: 6 (13 enodes) 80.608 * * [simplify]: iters left: 5 (54 enodes) 80.630 * * [simplify]: iters left: 4 (85 enodes) 80.657 * * [simplify]: iters left: 3 (127 enodes) 80.690 * * [simplify]: iters left: 2 (219 enodes) 80.750 * * [simplify]: iters left: 1 (389 enodes) 80.869 * * [simplify]: Extracting #0: cost 1 inf + 0 80.869 * * [simplify]: Extracting #1: cost 6 inf + 0 80.869 * * [simplify]: Extracting #2: cost 40 inf + 0 80.869 * * [simplify]: Extracting #3: cost 126 inf + 1 80.870 * * [simplify]: Extracting #4: cost 162 inf + 789 80.871 * * [simplify]: Extracting #5: cost 126 inf + 3734 80.877 * * [simplify]: Extracting #6: cost 59 inf + 29984 80.897 * * [simplify]: Extracting #7: cost 4 inf + 69484 80.919 * * [simplify]: Extracting #8: cost 0 inf + 71292 80.933 * * [simplify]: Extracting #9: cost 0 inf + 71291 80.944 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 80.944 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 80.945 * * * * [progress]: [ 82 / 307 ] simplifiying candidate # 80.945 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 80.945 * * [simplify]: iters left: 6 (15 enodes) 80.952 * * [simplify]: iters left: 5 (64 enodes) 80.974 * * [simplify]: iters left: 4 (102 enodes) 81.007 * * [simplify]: iters left: 3 (158 enodes) 81.065 * * [simplify]: iters left: 2 (277 enodes) 81.151 * * [simplify]: Extracting #0: cost 1 inf + 0 81.151 * * [simplify]: Extracting #1: cost 6 inf + 0 81.151 * * [simplify]: Extracting #2: cost 27 inf + 0 81.152 * * [simplify]: Extracting #3: cost 97 inf + 1 81.153 * * [simplify]: Extracting #4: cost 119 inf + 625 81.155 * * [simplify]: Extracting #5: cost 74 inf + 5678 81.161 * * [simplify]: Extracting #6: cost 29 inf + 16424 81.170 * * [simplify]: Extracting #7: cost 2 inf + 34563 81.183 * * [simplify]: Extracting #8: cost 0 inf + 35972 81.194 * * [simplify]: Extracting #9: cost 0 inf + 35931 81.204 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (* 1/4 (- 1 k)))) 81.205 * [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)))))) 81.205 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.205 * * [simplify]: iters left: 6 (14 enodes) 81.213 * * [simplify]: iters left: 5 (60 enodes) 81.234 * * [simplify]: iters left: 4 (98 enodes) 81.255 * * [simplify]: iters left: 3 (154 enodes) 81.283 * * [simplify]: iters left: 2 (277 enodes) 81.360 * * [simplify]: iters left: 1 (498 enodes) 81.608 * * [simplify]: Extracting #0: cost 1 inf + 0 81.608 * * [simplify]: Extracting #1: cost 6 inf + 0 81.608 * * [simplify]: Extracting #2: cost 35 inf + 0 81.608 * * [simplify]: Extracting #3: cost 126 inf + 1 81.612 * * [simplify]: Extracting #4: cost 200 inf + 382 81.614 * * [simplify]: Extracting #5: cost 139 inf + 11070 81.619 * * [simplify]: Extracting #6: cost 55 inf + 29482 81.629 * * [simplify]: Extracting #7: cost 11 inf + 64620 81.648 * * [simplify]: Extracting #8: cost 0 inf + 72724 81.671 * * [simplify]: Extracting #9: cost 0 inf + 72604 81.694 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 81.694 * [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))))))) 81.695 * * * * [progress]: [ 83 / 307 ] simplifiying candidate # 81.695 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 81.695 * * [simplify]: iters left: 6 (10 enodes) 81.701 * * [simplify]: iters left: 5 (41 enodes) 81.709 * * [simplify]: iters left: 4 (64 enodes) 81.722 * * [simplify]: iters left: 3 (104 enodes) 81.742 * * [simplify]: iters left: 2 (198 enodes) 81.806 * * [simplify]: iters left: 1 (377 enodes) 81.958 * * [simplify]: Extracting #0: cost 1 inf + 0 81.958 * * [simplify]: Extracting #1: cost 6 inf + 0 81.958 * * [simplify]: Extracting #2: cost 39 inf + 0 81.958 * * [simplify]: Extracting #3: cost 126 inf + 2 81.959 * * [simplify]: Extracting #4: cost 186 inf + 296 81.960 * * [simplify]: Extracting #5: cost 156 inf + 5614 81.964 * * [simplify]: Extracting #6: cost 69 inf + 27398 81.972 * * [simplify]: Extracting #7: cost 11 inf + 61853 81.989 * * [simplify]: Extracting #8: cost 0 inf + 68047 82.008 * * [simplify]: Extracting #9: cost 0 inf + 67322 82.027 * * [simplify]: Extracting #10: cost 0 inf + 67070 82.049 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 82.049 * [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)))))) 82.050 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 82.050 * * [simplify]: iters left: 6 (11 enodes) 82.057 * * [simplify]: iters left: 5 (45 enodes) 82.072 * * [simplify]: iters left: 4 (68 enodes) 82.095 * * [simplify]: iters left: 3 (108 enodes) 82.135 * * [simplify]: iters left: 2 (205 enodes) 82.186 * * [simplify]: iters left: 1 (384 enodes) 82.342 * * [simplify]: Extracting #0: cost 1 inf + 0 82.342 * * [simplify]: Extracting #1: cost 6 inf + 0 82.342 * * [simplify]: Extracting #2: cost 36 inf + 0 82.343 * * [simplify]: Extracting #3: cost 122 inf + 1 82.344 * * [simplify]: Extracting #4: cost 155 inf + 752 82.351 * * [simplify]: Extracting #5: cost 86 inf + 25726 82.363 * * [simplify]: Extracting #6: cost 12 inf + 62584 82.373 * * [simplify]: Extracting #7: cost 0 inf + 68056 82.394 * * [simplify]: Extracting #8: cost 0 inf + 67804 82.411 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 82.411 * [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))))))) 82.411 * * * * [progress]: [ 84 / 307 ] simplifiying candidate # 82.411 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 82.411 * * [simplify]: iters left: 6 (15 enodes) 82.416 * * [simplify]: iters left: 5 (62 enodes) 82.426 * * [simplify]: iters left: 4 (93 enodes) 82.448 * * [simplify]: iters left: 3 (131 enodes) 82.494 * * [simplify]: iters left: 2 (217 enodes) 82.562 * * [simplify]: iters left: 1 (376 enodes) 82.700 * * [simplify]: Extracting #0: cost 1 inf + 0 82.700 * * [simplify]: Extracting #1: cost 6 inf + 0 82.700 * * [simplify]: Extracting #2: cost 12 inf + 0 82.700 * * [simplify]: Extracting #3: cost 38 inf + 0 82.701 * * [simplify]: Extracting #4: cost 106 inf + 84 82.702 * * [simplify]: Extracting #5: cost 160 inf + 340 82.704 * * [simplify]: Extracting #6: cost 143 inf + 1796 82.709 * * [simplify]: Extracting #7: cost 85 inf + 12397 82.720 * * [simplify]: Extracting #8: cost 29 inf + 38692 82.734 * * [simplify]: Extracting #9: cost 0 inf + 59883 82.745 * * [simplify]: Extracting #10: cost 0 inf + 59792 82.762 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 82.762 * [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))))))) 82.762 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.762 * * [simplify]: iters left: 6 (14 enodes) 82.767 * * [simplify]: iters left: 5 (57 enodes) 82.777 * * [simplify]: iters left: 4 (90 enodes) 82.793 * * [simplify]: iters left: 3 (126 enodes) 82.822 * * [simplify]: iters left: 2 (194 enodes) 82.883 * * [simplify]: iters left: 1 (356 enodes) 83.047 * * [simplify]: Extracting #0: cost 1 inf + 0 83.047 * * [simplify]: Extracting #1: cost 4 inf + 0 83.047 * * [simplify]: Extracting #2: cost 8 inf + 0 83.048 * * [simplify]: Extracting #3: cost 34 inf + 0 83.048 * * [simplify]: Extracting #4: cost 118 inf + 43 83.050 * * [simplify]: Extracting #5: cost 153 inf + 382 83.053 * * [simplify]: Extracting #6: cost 109 inf + 6095 83.059 * * [simplify]: Extracting #7: cost 63 inf + 17738 83.071 * * [simplify]: Extracting #8: cost 19 inf + 51146 83.090 * * [simplify]: Extracting #9: cost 0 inf + 68210 83.110 * * [simplify]: Extracting #10: cost 0 inf + 67620 83.129 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.129 * [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))))))) 83.129 * * * * [progress]: [ 85 / 307 ] simplifiying candidate # 83.130 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.130 * * [simplify]: iters left: 6 (14 enodes) 83.137 * * [simplify]: iters left: 5 (57 enodes) 83.157 * * [simplify]: iters left: 4 (91 enodes) 83.185 * * [simplify]: iters left: 3 (127 enodes) 83.228 * * [simplify]: iters left: 2 (195 enodes) 83.271 * * [simplify]: iters left: 1 (361 enodes) 83.440 * * [simplify]: Extracting #0: cost 1 inf + 0 83.441 * * [simplify]: Extracting #1: cost 4 inf + 0 83.441 * * [simplify]: Extracting #2: cost 9 inf + 0 83.441 * * [simplify]: Extracting #3: cost 37 inf + 0 83.442 * * [simplify]: Extracting #4: cost 126 inf + 43 83.443 * * [simplify]: Extracting #5: cost 158 inf + 507 83.446 * * [simplify]: Extracting #6: cost 117 inf + 5898 83.458 * * [simplify]: Extracting #7: cost 33 inf + 39065 83.479 * * [simplify]: Extracting #8: cost 0 inf + 68936 83.499 * * [simplify]: Extracting #9: cost 0 inf + 67142 83.511 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.511 * [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))))))) 83.511 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.511 * * [simplify]: iters left: 6 (14 enodes) 83.516 * * [simplify]: iters left: 5 (57 enodes) 83.529 * * [simplify]: iters left: 4 (91 enodes) 83.550 * * [simplify]: iters left: 3 (127 enodes) 83.571 * * [simplify]: iters left: 2 (195 enodes) 83.643 * * [simplify]: iters left: 1 (361 enodes) 83.802 * * [simplify]: Extracting #0: cost 1 inf + 0 83.802 * * [simplify]: Extracting #1: cost 4 inf + 0 83.802 * * [simplify]: Extracting #2: cost 9 inf + 0 83.802 * * [simplify]: Extracting #3: cost 37 inf + 0 83.802 * * [simplify]: Extracting #4: cost 126 inf + 43 83.803 * * [simplify]: Extracting #5: cost 158 inf + 507 83.805 * * [simplify]: Extracting #6: cost 117 inf + 5898 83.811 * * [simplify]: Extracting #7: cost 33 inf + 39065 83.826 * * [simplify]: Extracting #8: cost 0 inf + 68936 83.842 * * [simplify]: Extracting #9: cost 0 inf + 67142 83.853 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.853 * [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))))))) 83.854 * * * * [progress]: [ 86 / 307 ] simplifiying candidate # 83.854 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 83.854 * * [simplify]: iters left: 4 (5 enodes) 83.856 * * [simplify]: iters left: 3 (15 enodes) 83.859 * * [simplify]: iters left: 2 (17 enodes) 83.861 * * [simplify]: Extracting #0: cost 1 inf + 0 83.861 * * [simplify]: Extracting #1: cost 4 inf + 0 83.861 * * [simplify]: Extracting #2: cost 5 inf + 1 83.861 * * [simplify]: Extracting #3: cost 4 inf + 2 83.861 * * [simplify]: Extracting #4: cost 1 inf + 165 83.861 * * [simplify]: Extracting #5: cost 0 inf + 246 83.862 * [simplify]: Simplified to (sqrt (sqrt k)) 83.862 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 83.862 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 83.862 * * [simplify]: iters left: 6 (13 enodes) 83.869 * * [simplify]: iters left: 5 (54 enodes) 83.887 * * [simplify]: iters left: 4 (85 enodes) 83.915 * * [simplify]: iters left: 3 (127 enodes) 83.961 * * [simplify]: iters left: 2 (219 enodes) 84.017 * * [simplify]: iters left: 1 (389 enodes) 84.208 * * [simplify]: Extracting #0: cost 1 inf + 0 84.208 * * [simplify]: Extracting #1: cost 6 inf + 0 84.209 * * [simplify]: Extracting #2: cost 40 inf + 0 84.209 * * [simplify]: Extracting #3: cost 126 inf + 1 84.211 * * [simplify]: Extracting #4: cost 162 inf + 629 84.217 * * [simplify]: Extracting #5: cost 126 inf + 3574 84.225 * * [simplify]: Extracting #6: cost 59 inf + 29624 84.246 * * [simplify]: Extracting #7: cost 4 inf + 68604 84.269 * * [simplify]: Extracting #8: cost 0 inf + 70292 84.291 * * [simplify]: Extracting #9: cost 0 inf + 70291 84.314 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 84.314 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 84.314 * * * * [progress]: [ 87 / 307 ] simplifiying candidate # 84.314 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.314 * * [simplify]: iters left: 6 (14 enodes) 84.323 * * [simplify]: iters left: 5 (60 enodes) 84.343 * * [simplify]: iters left: 4 (98 enodes) 84.377 * * [simplify]: iters left: 3 (154 enodes) 84.429 * * [simplify]: iters left: 2 (277 enodes) 84.502 * * [simplify]: iters left: 1 (498 enodes) 84.728 * * [simplify]: Extracting #0: cost 1 inf + 0 84.728 * * [simplify]: Extracting #1: cost 6 inf + 0 84.728 * * [simplify]: Extracting #2: cost 35 inf + 0 84.728 * * [simplify]: Extracting #3: cost 126 inf + 1 84.729 * * [simplify]: Extracting #4: cost 200 inf + 302 84.732 * * [simplify]: Extracting #5: cost 139 inf + 10830 84.737 * * [simplify]: Extracting #6: cost 55 inf + 28922 84.755 * * [simplify]: Extracting #7: cost 11 inf + 63820 84.767 * * [simplify]: Extracting #8: cost 0 inf + 71724 84.782 * * [simplify]: Extracting #9: cost 0 inf + 71604 84.802 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 84.802 * [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)))))) 84.802 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.802 * * [simplify]: iters left: 6 (14 enodes) 84.807 * * [simplify]: iters left: 5 (60 enodes) 84.818 * * [simplify]: iters left: 4 (98 enodes) 84.838 * * [simplify]: iters left: 3 (154 enodes) 84.892 * * [simplify]: iters left: 2 (277 enodes) 84.982 * * [simplify]: iters left: 1 (498 enodes) 85.185 * * [simplify]: Extracting #0: cost 1 inf + 0 85.185 * * [simplify]: Extracting #1: cost 6 inf + 0 85.185 * * [simplify]: Extracting #2: cost 35 inf + 0 85.186 * * [simplify]: Extracting #3: cost 126 inf + 1 85.186 * * [simplify]: Extracting #4: cost 200 inf + 302 85.189 * * [simplify]: Extracting #5: cost 139 inf + 10830 85.194 * * [simplify]: Extracting #6: cost 55 inf + 28922 85.204 * * [simplify]: Extracting #7: cost 11 inf + 63820 85.218 * * [simplify]: Extracting #8: cost 0 inf + 71724 85.241 * * [simplify]: Extracting #9: cost 0 inf + 71604 85.265 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 85.265 * [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))))))) 85.265 * * * * [progress]: [ 88 / 307 ] simplifiying candidate # 85.265 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 85.265 * * [simplify]: iters left: 6 (9 enodes) 85.272 * * [simplify]: iters left: 5 (38 enodes) 85.285 * * [simplify]: iters left: 4 (61 enodes) 85.308 * * [simplify]: iters left: 3 (101 enodes) 85.346 * * [simplify]: iters left: 2 (195 enodes) 85.391 * * [simplify]: iters left: 1 (362 enodes) 85.561 * * [simplify]: Extracting #0: cost 1 inf + 0 85.561 * * [simplify]: Extracting #1: cost 6 inf + 0 85.561 * * [simplify]: Extracting #2: cost 36 inf + 1 85.562 * * [simplify]: Extracting #3: cost 115 inf + 3 85.563 * * [simplify]: Extracting #4: cost 173 inf + 10 85.565 * * [simplify]: Extracting #5: cost 170 inf + 143 85.567 * * [simplify]: Extracting #6: cost 138 inf + 2928 85.573 * * [simplify]: Extracting #7: cost 72 inf + 15449 85.582 * * [simplify]: Extracting #8: cost 17 inf + 47256 85.590 * * [simplify]: Extracting #9: cost 0 inf + 61960 85.599 * * [simplify]: Extracting #10: cost 0 inf + 61694 85.615 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 85.615 * [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)))))) 85.616 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 85.616 * * [simplify]: iters left: 6 (10 enodes) 85.622 * * [simplify]: iters left: 5 (42 enodes) 85.636 * * [simplify]: iters left: 4 (65 enodes) 85.661 * * [simplify]: iters left: 3 (102 enodes) 85.687 * * [simplify]: iters left: 2 (194 enodes) 85.744 * * [simplify]: iters left: 1 (367 enodes) 85.888 * * [simplify]: Extracting #0: cost 1 inf + 0 85.888 * * [simplify]: Extracting #1: cost 6 inf + 0 85.888 * * [simplify]: Extracting #2: cost 40 inf + 0 85.889 * * [simplify]: Extracting #3: cost 120 inf + 84 85.889 * * [simplify]: Extracting #4: cost 153 inf + 465 85.892 * * [simplify]: Extracting #5: cost 92 inf + 15289 85.899 * * [simplify]: Extracting #6: cost 21 inf + 48335 85.920 * * [simplify]: Extracting #7: cost 0 inf + 64786 85.935 * * [simplify]: Extracting #8: cost 0 inf + 64091 85.946 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 85.946 * [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))))))) 85.946 * * * * [progress]: [ 89 / 307 ] simplifiying candidate # 85.946 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 85.946 * * [simplify]: iters left: 6 (14 enodes) 85.950 * * [simplify]: iters left: 5 (59 enodes) 85.962 * * [simplify]: iters left: 4 (97 enodes) 85.991 * * [simplify]: iters left: 3 (136 enodes) 86.014 * * [simplify]: iters left: 2 (204 enodes) 86.066 * * [simplify]: iters left: 1 (365 enodes) 86.228 * * [simplify]: Extracting #0: cost 1 inf + 0 86.228 * * [simplify]: Extracting #1: cost 7 inf + 0 86.228 * * [simplify]: Extracting #2: cost 11 inf + 1 86.228 * * [simplify]: Extracting #3: cost 33 inf + 1 86.229 * * [simplify]: Extracting #4: cost 106 inf + 2 86.230 * * [simplify]: Extracting #5: cost 154 inf + 218 86.231 * * [simplify]: Extracting #6: cost 153 inf + 478 86.234 * * [simplify]: Extracting #7: cost 99 inf + 5772 86.242 * * [simplify]: Extracting #8: cost 51 inf + 22669 86.258 * * [simplify]: Extracting #9: cost 5 inf + 59480 86.268 * * [simplify]: Extracting #10: cost 0 inf + 61793 86.278 * * [simplify]: Extracting #11: cost 0 inf + 61317 86.292 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.292 * [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))))))) 86.292 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.292 * * [simplify]: iters left: 6 (13 enodes) 86.300 * * [simplify]: iters left: 5 (54 enodes) 86.317 * * [simplify]: iters left: 4 (87 enodes) 86.346 * * [simplify]: iters left: 3 (127 enodes) 86.378 * * [simplify]: iters left: 2 (196 enodes) 86.431 * * [simplify]: iters left: 1 (351 enodes) 86.562 * * [simplify]: Extracting #0: cost 1 inf + 0 86.562 * * [simplify]: Extracting #1: cost 4 inf + 0 86.562 * * [simplify]: Extracting #2: cost 8 inf + 0 86.562 * * [simplify]: Extracting #3: cost 32 inf + 1 86.563 * * [simplify]: Extracting #4: cost 115 inf + 43 86.563 * * [simplify]: Extracting #5: cost 148 inf + 301 86.565 * * [simplify]: Extracting #6: cost 96 inf + 9881 86.571 * * [simplify]: Extracting #7: cost 25 inf + 46617 86.587 * * [simplify]: Extracting #8: cost 0 inf + 67985 86.606 * * [simplify]: Extracting #9: cost 0 inf + 67524 86.619 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.619 * [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))))))) 86.619 * * * * [progress]: [ 90 / 307 ] simplifiying candidate # 86.620 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.620 * * [simplify]: iters left: 6 (13 enodes) 86.624 * * [simplify]: iters left: 5 (54 enodes) 86.634 * * [simplify]: iters left: 4 (88 enodes) 86.649 * * [simplify]: iters left: 3 (124 enodes) 86.680 * * [simplify]: iters left: 2 (192 enodes) 86.735 * * [simplify]: iters left: 1 (353 enodes) 86.879 * * [simplify]: Extracting #0: cost 1 inf + 0 86.879 * * [simplify]: Extracting #1: cost 4 inf + 0 86.879 * * [simplify]: Extracting #2: cost 6 inf + 1 86.879 * * [simplify]: Extracting #3: cost 31 inf + 1 86.879 * * [simplify]: Extracting #4: cost 117 inf + 2 86.880 * * [simplify]: Extracting #5: cost 149 inf + 177 86.881 * * [simplify]: Extracting #6: cost 143 inf + 560 86.882 * * [simplify]: Extracting #7: cost 90 inf + 7975 86.888 * * [simplify]: Extracting #8: cost 20 inf + 48162 86.907 * * [simplify]: Extracting #9: cost 0 inf + 63060 86.931 * * [simplify]: Extracting #10: cost 0 inf + 61954 86.952 * * [simplify]: Extracting #11: cost 0 inf + 61653 86.970 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.970 * [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))))))) 86.970 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.970 * * [simplify]: iters left: 6 (13 enodes) 86.974 * * [simplify]: iters left: 5 (54 enodes) 86.984 * * [simplify]: iters left: 4 (88 enodes) 87.000 * * [simplify]: iters left: 3 (124 enodes) 87.040 * * [simplify]: iters left: 2 (192 enodes) 87.096 * * [simplify]: iters left: 1 (353 enodes) 87.247 * * [simplify]: Extracting #0: cost 1 inf + 0 87.247 * * [simplify]: Extracting #1: cost 4 inf + 0 87.247 * * [simplify]: Extracting #2: cost 9 inf + 0 87.248 * * [simplify]: Extracting #3: cost 33 inf + 1 87.248 * * [simplify]: Extracting #4: cost 119 inf + 43 87.250 * * [simplify]: Extracting #5: cost 143 inf + 633 87.260 * * [simplify]: Extracting #6: cost 68 inf + 26811 87.279 * * [simplify]: Extracting #7: cost 14 inf + 46498 87.306 * * [simplify]: Extracting #8: cost 0 inf + 56440 87.326 * * [simplify]: Extracting #9: cost 0 inf + 56100 87.342 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.342 * [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))))))) 87.342 * * * * [progress]: [ 91 / 307 ] simplifiying candidate # 87.342 * [simplify]: Simplifying (/ (sqrt 1) 1) 87.343 * * [simplify]: iters left: 3 (3 enodes) 87.345 * * [simplify]: iters left: 2 (9 enodes) 87.346 * * [simplify]: iters left: 1 (11 enodes) 87.349 * * [simplify]: Extracting #0: cost 1 inf + 0 87.349 * * [simplify]: Extracting #1: cost 0 inf + 1 87.349 * [simplify]: Simplified to 1 87.349 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.349 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.349 * * [simplify]: iters left: 6 (12 enodes) 87.356 * * [simplify]: iters left: 5 (51 enodes) 87.373 * * [simplify]: iters left: 4 (86 enodes) 87.401 * * [simplify]: iters left: 3 (131 enodes) 87.445 * * [simplify]: iters left: 2 (210 enodes) 87.518 * * [simplify]: iters left: 1 (376 enodes) 87.684 * * [simplify]: Extracting #0: cost 1 inf + 0 87.684 * * [simplify]: Extracting #1: cost 6 inf + 0 87.684 * * [simplify]: Extracting #2: cost 39 inf + 0 87.685 * * [simplify]: Extracting #3: cost 126 inf + 43 87.685 * * [simplify]: Extracting #4: cost 157 inf + 427 87.687 * * [simplify]: Extracting #5: cost 114 inf + 4645 87.689 * * [simplify]: Extracting #6: cost 78 inf + 13381 87.695 * * [simplify]: Extracting #7: cost 42 inf + 36175 87.706 * * [simplify]: Extracting #8: cost 0 inf + 71124 87.725 * * [simplify]: Extracting #9: cost 0 inf + 70886 87.745 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.745 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.745 * * * * [progress]: [ 92 / 307 ] simplifiying candidate # 87.745 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.746 * * [simplify]: iters left: 6 (13 enodes) 87.754 * * [simplify]: iters left: 5 (57 enodes) 87.776 * * [simplify]: iters left: 4 (95 enodes) 87.800 * * [simplify]: iters left: 3 (148 enodes) 87.829 * * [simplify]: iters left: 2 (248 enodes) 87.881 * * [simplify]: iters left: 1 (441 enodes) 88.039 * * [simplify]: Extracting #0: cost 1 inf + 0 88.039 * * [simplify]: Extracting #1: cost 6 inf + 0 88.039 * * [simplify]: Extracting #2: cost 36 inf + 1 88.040 * * [simplify]: Extracting #3: cost 135 inf + 2 88.045 * * [simplify]: Extracting #4: cost 181 inf + 179 88.048 * * [simplify]: Extracting #5: cost 160 inf + 2959 88.058 * * [simplify]: Extracting #6: cost 57 inf + 34313 88.079 * * [simplify]: Extracting #7: cost 3 inf + 69570 88.102 * * [simplify]: Extracting #8: cost 0 inf + 69860 88.126 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.127 * [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)))))) 88.127 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 88.127 * * [simplify]: iters left: 6 (13 enodes) 88.132 * * [simplify]: iters left: 5 (57 enodes) 88.142 * * [simplify]: iters left: 4 (95 enodes) 88.162 * * [simplify]: iters left: 3 (148 enodes) 88.190 * * [simplify]: iters left: 2 (248 enodes) 88.255 * * [simplify]: iters left: 1 (441 enodes) 88.427 * * [simplify]: Extracting #0: cost 1 inf + 0 88.427 * * [simplify]: Extracting #1: cost 6 inf + 0 88.427 * * [simplify]: Extracting #2: cost 39 inf + 0 88.428 * * [simplify]: Extracting #3: cost 136 inf + 84 88.430 * * [simplify]: Extracting #4: cost 167 inf + 1583 88.437 * * [simplify]: Extracting #5: cost 99 inf + 23902 88.458 * * [simplify]: Extracting #6: cost 10 inf + 64948 88.482 * * [simplify]: Extracting #7: cost 0 inf + 71402 88.495 * * [simplify]: Extracting #8: cost 0 inf + 71068 88.507 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 88.507 * [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))))))) 88.508 * * * * [progress]: [ 93 / 307 ] simplifiying candidate # 88.508 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 88.508 * * [simplify]: iters left: 6 (10 enodes) 88.514 * * [simplify]: iters left: 5 (41 enodes) 88.528 * * [simplify]: iters left: 4 (64 enodes) 88.550 * * [simplify]: iters left: 3 (104 enodes) 88.574 * * [simplify]: iters left: 2 (198 enodes) 88.639 * * [simplify]: iters left: 1 (377 enodes) 88.779 * * [simplify]: Extracting #0: cost 1 inf + 0 88.779 * * [simplify]: Extracting #1: cost 6 inf + 0 88.780 * * [simplify]: Extracting #2: cost 39 inf + 0 88.780 * * [simplify]: Extracting #3: cost 126 inf + 2 88.782 * * [simplify]: Extracting #4: cost 186 inf + 296 88.784 * * [simplify]: Extracting #5: cost 156 inf + 5614 88.789 * * [simplify]: Extracting #6: cost 69 inf + 27398 88.801 * * [simplify]: Extracting #7: cost 11 inf + 61853 88.811 * * [simplify]: Extracting #8: cost 0 inf + 68047 88.827 * * [simplify]: Extracting #9: cost 0 inf + 67322 88.845 * * [simplify]: Extracting #10: cost 0 inf + 67070 88.863 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 88.864 * [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)))))) 88.864 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 88.864 * * [simplify]: iters left: 6 (11 enodes) 88.870 * * [simplify]: iters left: 5 (45 enodes) 88.886 * * [simplify]: iters left: 4 (68 enodes) 88.908 * * [simplify]: iters left: 3 (108 enodes) 88.944 * * [simplify]: iters left: 2 (205 enodes) 88.999 * * [simplify]: iters left: 1 (384 enodes) 89.154 * * [simplify]: Extracting #0: cost 1 inf + 0 89.154 * * [simplify]: Extracting #1: cost 6 inf + 0 89.154 * * [simplify]: Extracting #2: cost 36 inf + 0 89.154 * * [simplify]: Extracting #3: cost 122 inf + 1 89.155 * * [simplify]: Extracting #4: cost 155 inf + 752 89.158 * * [simplify]: Extracting #5: cost 86 inf + 25726 89.167 * * [simplify]: Extracting #6: cost 12 inf + 62584 89.177 * * [simplify]: Extracting #7: cost 0 inf + 68056 89.188 * * [simplify]: Extracting #8: cost 0 inf + 67804 89.209 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 89.209 * [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))))))) 89.209 * * * * [progress]: [ 94 / 307 ] simplifiying candidate # 89.210 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 89.210 * * [simplify]: iters left: 6 (15 enodes) 89.218 * * [simplify]: iters left: 5 (62 enodes) 89.237 * * [simplify]: iters left: 4 (93 enodes) 89.255 * * [simplify]: iters left: 3 (131 enodes) 89.283 * * [simplify]: iters left: 2 (217 enodes) 89.334 * * [simplify]: iters left: 1 (376 enodes) 89.493 * * [simplify]: Extracting #0: cost 1 inf + 0 89.493 * * [simplify]: Extracting #1: cost 6 inf + 0 89.493 * * [simplify]: Extracting #2: cost 12 inf + 0 89.493 * * [simplify]: Extracting #3: cost 38 inf + 0 89.494 * * [simplify]: Extracting #4: cost 106 inf + 84 89.494 * * [simplify]: Extracting #5: cost 160 inf + 340 89.495 * * [simplify]: Extracting #6: cost 143 inf + 1796 89.498 * * [simplify]: Extracting #7: cost 85 inf + 12397 89.504 * * [simplify]: Extracting #8: cost 29 inf + 38692 89.516 * * [simplify]: Extracting #9: cost 0 inf + 59883 89.537 * * [simplify]: Extracting #10: cost 0 inf + 59792 89.558 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))))) 89.558 * [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))))))) 89.559 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.559 * * [simplify]: iters left: 6 (14 enodes) 89.567 * * [simplify]: iters left: 5 (57 enodes) 89.590 * * [simplify]: iters left: 4 (90 enodes) 89.608 * * [simplify]: iters left: 3 (126 enodes) 89.629 * * [simplify]: iters left: 2 (194 enodes) 89.686 * * [simplify]: iters left: 1 (356 enodes) 89.851 * * [simplify]: Extracting #0: cost 1 inf + 0 89.851 * * [simplify]: Extracting #1: cost 4 inf + 0 89.851 * * [simplify]: Extracting #2: cost 8 inf + 0 89.851 * * [simplify]: Extracting #3: cost 34 inf + 0 89.852 * * [simplify]: Extracting #4: cost 118 inf + 43 89.853 * * [simplify]: Extracting #5: cost 153 inf + 382 89.856 * * [simplify]: Extracting #6: cost 109 inf + 6095 89.862 * * [simplify]: Extracting #7: cost 63 inf + 17738 89.871 * * [simplify]: Extracting #8: cost 19 inf + 51146 89.880 * * [simplify]: Extracting #9: cost 0 inf + 68210 89.893 * * [simplify]: Extracting #10: cost 0 inf + 67620 89.907 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 89.907 * [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))))))) 89.907 * * * * [progress]: [ 95 / 307 ] simplifiying candidate # 89.907 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 89.907 * * [simplify]: iters left: 6 (14 enodes) 89.915 * * [simplify]: iters left: 5 (57 enodes) 89.934 * * [simplify]: iters left: 4 (91 enodes) 89.953 * * [simplify]: iters left: 3 (127 enodes) 89.979 * * [simplify]: iters left: 2 (195 enodes) 90.045 * * [simplify]: iters left: 1 (361 enodes) 90.214 * * [simplify]: Extracting #0: cost 1 inf + 0 90.214 * * [simplify]: Extracting #1: cost 4 inf + 0 90.214 * * [simplify]: Extracting #2: cost 9 inf + 0 90.214 * * [simplify]: Extracting #3: cost 37 inf + 0 90.214 * * [simplify]: Extracting #4: cost 126 inf + 43 90.215 * * [simplify]: Extracting #5: cost 158 inf + 507 90.217 * * [simplify]: Extracting #6: cost 117 inf + 5898 90.226 * * [simplify]: Extracting #7: cost 33 inf + 39065 90.237 * * [simplify]: Extracting #8: cost 0 inf + 68936 90.249 * * [simplify]: Extracting #9: cost 0 inf + 67142 90.272 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 90.272 * [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))))))) 90.272 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.272 * * [simplify]: iters left: 6 (14 enodes) 90.280 * * [simplify]: iters left: 5 (57 enodes) 90.293 * * [simplify]: iters left: 4 (91 enodes) 90.307 * * [simplify]: iters left: 3 (127 enodes) 90.344 * * [simplify]: iters left: 2 (195 enodes) 90.417 * * [simplify]: iters left: 1 (361 enodes) 90.594 * * [simplify]: Extracting #0: cost 1 inf + 0 90.594 * * [simplify]: Extracting #1: cost 4 inf + 0 90.594 * * [simplify]: Extracting #2: cost 9 inf + 0 90.594 * * [simplify]: Extracting #3: cost 37 inf + 0 90.595 * * [simplify]: Extracting #4: cost 126 inf + 43 90.596 * * [simplify]: Extracting #5: cost 158 inf + 507 90.600 * * [simplify]: Extracting #6: cost 117 inf + 5898 90.612 * * [simplify]: Extracting #7: cost 33 inf + 39065 90.628 * * [simplify]: Extracting #8: cost 0 inf + 68936 90.639 * * [simplify]: Extracting #9: cost 0 inf + 67142 90.650 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 90.650 * [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))))))) 90.651 * * * * [progress]: [ 96 / 307 ] simplifiying candidate # 90.651 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 90.651 * * [simplify]: iters left: 4 (5 enodes) 90.654 * * [simplify]: iters left: 3 (15 enodes) 90.658 * * [simplify]: iters left: 2 (17 enodes) 90.661 * * [simplify]: Extracting #0: cost 1 inf + 0 90.661 * * [simplify]: Extracting #1: cost 4 inf + 0 90.661 * * [simplify]: Extracting #2: cost 5 inf + 1 90.661 * * [simplify]: Extracting #3: cost 4 inf + 2 90.661 * * [simplify]: Extracting #4: cost 1 inf + 165 90.661 * * [simplify]: Extracting #5: cost 0 inf + 246 90.661 * [simplify]: Simplified to (sqrt (sqrt k)) 90.661 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 90.662 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 90.662 * * [simplify]: iters left: 6 (13 enodes) 90.665 * * [simplify]: iters left: 5 (54 enodes) 90.675 * * [simplify]: iters left: 4 (85 enodes) 90.696 * * [simplify]: iters left: 3 (127 enodes) 90.735 * * [simplify]: iters left: 2 (219 enodes) 90.796 * * [simplify]: iters left: 1 (389 enodes) 90.962 * * [simplify]: Extracting #0: cost 1 inf + 0 90.962 * * [simplify]: Extracting #1: cost 6 inf + 0 90.963 * * [simplify]: Extracting #2: cost 40 inf + 0 90.963 * * [simplify]: Extracting #3: cost 126 inf + 1 90.965 * * [simplify]: Extracting #4: cost 162 inf + 629 90.967 * * [simplify]: Extracting #5: cost 126 inf + 3574 90.976 * * [simplify]: Extracting #6: cost 59 inf + 29624 90.998 * * [simplify]: Extracting #7: cost 4 inf + 68604 91.021 * * [simplify]: Extracting #8: cost 0 inf + 70292 91.038 * * [simplify]: Extracting #9: cost 0 inf + 70291 91.050 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 91.050 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 91.050 * * * * [progress]: [ 97 / 307 ] simplifiying candidate # 91.050 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.050 * * [simplify]: iters left: 6 (14 enodes) 91.055 * * [simplify]: iters left: 5 (60 enodes) 91.075 * * [simplify]: iters left: 4 (98 enodes) 91.093 * * [simplify]: iters left: 3 (154 enodes) 91.126 * * [simplify]: iters left: 2 (277 enodes) 91.201 * * [simplify]: iters left: 1 (498 enodes) 91.409 * * [simplify]: Extracting #0: cost 1 inf + 0 91.409 * * [simplify]: Extracting #1: cost 6 inf + 0 91.409 * * [simplify]: Extracting #2: cost 35 inf + 0 91.409 * * [simplify]: Extracting #3: cost 126 inf + 1 91.410 * * [simplify]: Extracting #4: cost 200 inf + 302 91.413 * * [simplify]: Extracting #5: cost 139 inf + 10830 91.418 * * [simplify]: Extracting #6: cost 55 inf + 28922 91.430 * * [simplify]: Extracting #7: cost 11 inf + 63820 91.453 * * [simplify]: Extracting #8: cost 0 inf + 71724 91.477 * * [simplify]: Extracting #9: cost 0 inf + 71604 91.491 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 91.491 * [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)))))) 91.492 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.492 * * [simplify]: iters left: 6 (14 enodes) 91.496 * * [simplify]: iters left: 5 (60 enodes) 91.507 * * [simplify]: iters left: 4 (98 enodes) 91.538 * * [simplify]: iters left: 3 (154 enodes) 91.593 * * [simplify]: iters left: 2 (277 enodes) 91.690 * * [simplify]: iters left: 1 (498 enodes) 91.910 * * [simplify]: Extracting #0: cost 1 inf + 0 91.910 * * [simplify]: Extracting #1: cost 6 inf + 0 91.910 * * [simplify]: Extracting #2: cost 35 inf + 0 91.911 * * [simplify]: Extracting #3: cost 126 inf + 1 91.913 * * [simplify]: Extracting #4: cost 200 inf + 302 91.917 * * [simplify]: Extracting #5: cost 139 inf + 10830 91.928 * * [simplify]: Extracting #6: cost 55 inf + 28922 91.948 * * [simplify]: Extracting #7: cost 11 inf + 63820 91.972 * * [simplify]: Extracting #8: cost 0 inf + 71724 91.984 * * [simplify]: Extracting #9: cost 0 inf + 71604 91.997 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 91.998 * [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))))))) 91.998 * * * * [progress]: [ 98 / 307 ] simplifiying candidate # 91.998 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 91.998 * * [simplify]: iters left: 6 (8 enodes) 92.004 * * [simplify]: iters left: 5 (35 enodes) 92.016 * * [simplify]: iters left: 4 (58 enodes) 92.035 * * [simplify]: iters left: 3 (95 enodes) 92.071 * * [simplify]: iters left: 2 (187 enodes) 92.141 * * [simplify]: iters left: 1 (358 enodes) 92.268 * * [simplify]: Extracting #0: cost 1 inf + 0 92.268 * * [simplify]: Extracting #1: cost 6 inf + 0 92.268 * * [simplify]: Extracting #2: cost 32 inf + 1 92.268 * * [simplify]: Extracting #3: cost 115 inf + 3 92.269 * * [simplify]: Extracting #4: cost 161 inf + 9 92.270 * * [simplify]: Extracting #5: cost 153 inf + 1848 92.272 * * [simplify]: Extracting #6: cost 97 inf + 10544 92.279 * * [simplify]: Extracting #7: cost 8 inf + 58518 92.291 * * [simplify]: Extracting #8: cost 0 inf + 62121 92.300 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 92.300 * [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)))))) 92.300 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 92.300 * * [simplify]: iters left: 6 (10 enodes) 92.304 * * [simplify]: iters left: 5 (42 enodes) 92.311 * * [simplify]: iters left: 4 (65 enodes) 92.323 * * [simplify]: iters left: 3 (102 enodes) 92.342 * * [simplify]: iters left: 2 (194 enodes) 92.398 * * [simplify]: iters left: 1 (367 enodes) 92.529 * * [simplify]: Extracting #0: cost 1 inf + 0 92.529 * * [simplify]: Extracting #1: cost 6 inf + 0 92.530 * * [simplify]: Extracting #2: cost 40 inf + 0 92.530 * * [simplify]: Extracting #3: cost 120 inf + 84 92.531 * * [simplify]: Extracting #4: cost 153 inf + 465 92.536 * * [simplify]: Extracting #5: cost 92 inf + 15289 92.549 * * [simplify]: Extracting #6: cost 21 inf + 48335 92.570 * * [simplify]: Extracting #7: cost 0 inf + 64786 92.592 * * [simplify]: Extracting #8: cost 0 inf + 64091 92.602 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 92.602 * [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))))))) 92.602 * * * * [progress]: [ 99 / 307 ] simplifiying candidate # 92.602 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 92.603 * * [simplify]: iters left: 6 (13 enodes) 92.606 * * [simplify]: iters left: 5 (56 enodes) 92.616 * * [simplify]: iters left: 4 (91 enodes) 92.635 * * [simplify]: iters left: 3 (127 enodes) 92.656 * * [simplify]: iters left: 2 (195 enodes) 92.704 * * [simplify]: iters left: 1 (360 enodes) 92.866 * * [simplify]: Extracting #0: cost 1 inf + 0 92.866 * * [simplify]: Extracting #1: cost 6 inf + 0 92.866 * * [simplify]: Extracting #2: cost 9 inf + 1 92.866 * * [simplify]: Extracting #3: cost 34 inf + 1 92.867 * * [simplify]: Extracting #4: cost 117 inf + 2 92.868 * * [simplify]: Extracting #5: cost 158 inf + 218 92.869 * * [simplify]: Extracting #6: cost 156 inf + 519 92.873 * * [simplify]: Extracting #7: cost 95 inf + 8978 92.890 * * [simplify]: Extracting #8: cost 23 inf + 53083 92.909 * * [simplify]: Extracting #9: cost 0 inf + 70120 92.927 * * [simplify]: Extracting #10: cost 0 inf + 68261 92.938 * * [simplify]: Extracting #11: cost 0 inf + 67270 92.949 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 92.949 * [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))))))) 92.950 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 92.950 * * [simplify]: iters left: 6 (13 enodes) 92.957 * * [simplify]: iters left: 5 (54 enodes) 92.972 * * [simplify]: iters left: 4 (87 enodes) 92.987 * * [simplify]: iters left: 3 (127 enodes) 93.023 * * [simplify]: iters left: 2 (196 enodes) 93.065 * * [simplify]: iters left: 1 (351 enodes) 93.227 * * [simplify]: Extracting #0: cost 1 inf + 0 93.227 * * [simplify]: Extracting #1: cost 4 inf + 0 93.227 * * [simplify]: Extracting #2: cost 8 inf + 0 93.227 * * [simplify]: Extracting #3: cost 32 inf + 1 93.227 * * [simplify]: Extracting #4: cost 115 inf + 43 93.228 * * [simplify]: Extracting #5: cost 148 inf + 301 93.229 * * [simplify]: Extracting #6: cost 96 inf + 9881 93.235 * * [simplify]: Extracting #7: cost 25 inf + 46617 93.247 * * [simplify]: Extracting #8: cost 0 inf + 67985 93.263 * * [simplify]: Extracting #9: cost 0 inf + 67524 93.272 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.272 * [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))))))) 93.273 * * * * [progress]: [ 100 / 307 ] simplifiying candidate # 93.273 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.273 * * [simplify]: iters left: 6 (12 enodes) 93.277 * * [simplify]: iters left: 5 (51 enodes) 93.287 * * [simplify]: iters left: 4 (85 enodes) 93.314 * * [simplify]: iters left: 3 (126 enodes) 93.357 * * [simplify]: iters left: 2 (199 enodes) 93.398 * * [simplify]: iters left: 1 (355 enodes) 93.549 * * [simplify]: Extracting #0: cost 1 inf + 0 93.549 * * [simplify]: Extracting #1: cost 4 inf + 0 93.549 * * [simplify]: Extracting #2: cost 6 inf + 1 93.549 * * [simplify]: Extracting #3: cost 31 inf + 1 93.550 * * [simplify]: Extracting #4: cost 106 inf + 2 93.550 * * [simplify]: Extracting #5: cost 132 inf + 177 93.551 * * [simplify]: Extracting #6: cost 125 inf + 684 93.553 * * [simplify]: Extracting #7: cost 79 inf + 6491 93.557 * * [simplify]: Extracting #8: cost 28 inf + 29531 93.566 * * [simplify]: Extracting #9: cost 0 inf + 53620 93.576 * * [simplify]: Extracting #10: cost 0 inf + 52668 93.594 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.594 * [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))))))) 93.595 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.595 * * [simplify]: iters left: 6 (13 enodes) 93.602 * * [simplify]: iters left: 5 (54 enodes) 93.614 * * [simplify]: iters left: 4 (88 enodes) 93.632 * * [simplify]: iters left: 3 (124 enodes) 93.653 * * [simplify]: iters left: 2 (192 enodes) 93.704 * * [simplify]: iters left: 1 (353 enodes) 93.818 * * [simplify]: Extracting #0: cost 1 inf + 0 93.818 * * [simplify]: Extracting #1: cost 4 inf + 0 93.818 * * [simplify]: Extracting #2: cost 9 inf + 0 93.818 * * [simplify]: Extracting #3: cost 33 inf + 1 93.819 * * [simplify]: Extracting #4: cost 119 inf + 43 93.820 * * [simplify]: Extracting #5: cost 143 inf + 633 93.828 * * [simplify]: Extracting #6: cost 68 inf + 26811 93.840 * * [simplify]: Extracting #7: cost 14 inf + 46498 93.855 * * [simplify]: Extracting #8: cost 0 inf + 56440 93.871 * * [simplify]: Extracting #9: cost 0 inf + 56100 93.900 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.900 * [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))))))) 93.900 * * * * [progress]: [ 101 / 307 ] simplifiying candidate # 93.901 * [simplify]: Simplifying (/ 1 1) 93.901 * * [simplify]: iters left: 2 (2 enodes) 93.902 * * [simplify]: iters left: 1 (6 enodes) 93.905 * * [simplify]: Extracting #0: cost 1 inf + 0 93.905 * * [simplify]: Extracting #1: cost 0 inf + 1 93.905 * [simplify]: Simplified to 1 93.905 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 93.905 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 93.905 * * [simplify]: iters left: 6 (12 enodes) 93.912 * * [simplify]: iters left: 5 (51 enodes) 93.934 * * [simplify]: iters left: 4 (86 enodes) 93.962 * * [simplify]: iters left: 3 (131 enodes) 93.990 * * [simplify]: iters left: 2 (210 enodes) 94.031 * * [simplify]: iters left: 1 (376 enodes) 94.167 * * [simplify]: Extracting #0: cost 1 inf + 0 94.168 * * [simplify]: Extracting #1: cost 6 inf + 0 94.168 * * [simplify]: Extracting #2: cost 39 inf + 0 94.168 * * [simplify]: Extracting #3: cost 126 inf + 43 94.169 * * [simplify]: Extracting #4: cost 157 inf + 427 94.170 * * [simplify]: Extracting #5: cost 114 inf + 4645 94.173 * * [simplify]: Extracting #6: cost 78 inf + 13381 94.178 * * [simplify]: Extracting #7: cost 42 inf + 36175 94.193 * * [simplify]: Extracting #8: cost 0 inf + 71124 94.215 * * [simplify]: Extracting #9: cost 0 inf + 70886 94.235 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 94.236 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.236 * * * * [progress]: [ 102 / 307 ] simplifiying candidate # 94.236 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 94.236 * * [simplify]: iters left: 6 (12 enodes) 94.244 * * [simplify]: iters left: 5 (54 enodes) 94.263 * * [simplify]: iters left: 4 (92 enodes) 94.293 * * [simplify]: iters left: 3 (151 enodes) 94.346 * * [simplify]: iters left: 2 (276 enodes) 94.430 * * [simplify]: Extracting #0: cost 1 inf + 0 94.430 * * [simplify]: Extracting #1: cost 6 inf + 0 94.430 * * [simplify]: Extracting #2: cost 24 inf + 1 94.431 * * [simplify]: Extracting #3: cost 96 inf + 2 94.431 * * [simplify]: Extracting #4: cost 123 inf + 220 94.432 * * [simplify]: Extracting #5: cost 122 inf + 558 94.435 * * [simplify]: Extracting #6: cost 67 inf + 7447 94.444 * * [simplify]: Extracting #7: cost 6 inf + 33024 94.452 * * [simplify]: Extracting #8: cost 0 inf + 36673 94.457 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 94.457 * [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)))))) 94.457 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 94.458 * * [simplify]: iters left: 6 (13 enodes) 94.464 * * [simplify]: iters left: 5 (57 enodes) 94.475 * * [simplify]: iters left: 4 (95 enodes) 94.502 * * [simplify]: iters left: 3 (148 enodes) 94.533 * * [simplify]: iters left: 2 (248 enodes) 94.597 * * [simplify]: iters left: 1 (441 enodes) 94.753 * * [simplify]: Extracting #0: cost 1 inf + 0 94.753 * * [simplify]: Extracting #1: cost 6 inf + 0 94.753 * * [simplify]: Extracting #2: cost 39 inf + 0 94.753 * * [simplify]: Extracting #3: cost 136 inf + 84 94.754 * * [simplify]: Extracting #4: cost 167 inf + 1583 94.758 * * [simplify]: Extracting #5: cost 99 inf + 23902 94.779 * * [simplify]: Extracting #6: cost 10 inf + 64948 94.802 * * [simplify]: Extracting #7: cost 0 inf + 71402 94.826 * * [simplify]: Extracting #8: cost 0 inf + 71068 94.849 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 94.849 * [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))))))) 94.849 * * * * [progress]: [ 103 / 307 ] simplifiying candidate # 94.850 * * * * [progress]: [ 104 / 307 ] simplifiying candidate # 94.850 * * * * [progress]: [ 105 / 307 ] simplifiying candidate # 94.850 * * * * [progress]: [ 106 / 307 ] simplifiying candidate # 94.850 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 94.850 * * [simplify]: iters left: 5 (8 enodes) 94.855 * * [simplify]: iters left: 4 (36 enodes) 94.868 * * [simplify]: iters left: 3 (57 enodes) 94.887 * * [simplify]: iters left: 2 (90 enodes) 94.924 * * [simplify]: iters left: 1 (176 enodes) 94.974 * * [simplify]: Extracting #0: cost 1 inf + 0 94.975 * * [simplify]: Extracting #1: cost 13 inf + 0 94.975 * * [simplify]: Extracting #2: cost 55 inf + 1 94.975 * * [simplify]: Extracting #3: cost 86 inf + 6 94.977 * * [simplify]: Extracting #4: cost 68 inf + 2553 94.980 * * [simplify]: Extracting #5: cost 24 inf + 10048 94.986 * * [simplify]: Extracting #6: cost 3 inf + 21580 94.993 * * [simplify]: Extracting #7: cost 0 inf + 23439 95.000 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 95.000 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 95.000 * * * * [progress]: [ 107 / 307 ] simplifiying candidate # 95.001 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 95.001 * * [simplify]: iters left: 6 (11 enodes) 95.008 * * [simplify]: iters left: 5 (48 enodes) 95.028 * * [simplify]: iters left: 4 (77 enodes) 95.042 * * [simplify]: iters left: 3 (118 enodes) 95.067 * * [simplify]: iters left: 2 (206 enodes) 95.146 * * [simplify]: iters left: 1 (369 enodes) 95.283 * * [simplify]: Extracting #0: cost 1 inf + 0 95.284 * * [simplify]: Extracting #1: cost 3 inf + 0 95.284 * * [simplify]: Extracting #2: cost 27 inf + 0 95.284 * * [simplify]: Extracting #3: cost 102 inf + 1 95.286 * * [simplify]: Extracting #4: cost 161 inf + 176 95.287 * * [simplify]: Extracting #5: cost 156 inf + 477 95.290 * * [simplify]: Extracting #6: cost 102 inf + 6602 95.302 * * [simplify]: Extracting #7: cost 23 inf + 45434 95.320 * * [simplify]: Extracting #8: cost 0 inf + 61866 95.346 * * [simplify]: Extracting #9: cost 0 inf + 59723 95.368 * * [simplify]: Extracting #10: cost 0 inf + 58567 95.389 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 95.389 * [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))))))) 95.390 * * * * [progress]: [ 108 / 307 ] simplifiying candidate # 95.390 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 95.390 * * [simplify]: iters left: 6 (11 enodes) 95.396 * * [simplify]: iters left: 5 (48 enodes) 95.404 * * [simplify]: iters left: 4 (78 enodes) 95.417 * * [simplify]: iters left: 3 (120 enodes) 95.457 * * [simplify]: iters left: 2 (211 enodes) 95.524 * * [simplify]: iters left: 1 (378 enodes) 95.648 * * [simplify]: Extracting #0: cost 1 inf + 0 95.649 * * [simplify]: Extracting #1: cost 4 inf + 0 95.649 * * [simplify]: Extracting #2: cost 28 inf + 0 95.649 * * [simplify]: Extracting #3: cost 111 inf + 1 95.651 * * [simplify]: Extracting #4: cost 151 inf + 220 95.652 * * [simplify]: Extracting #5: cost 149 inf + 601 95.655 * * [simplify]: Extracting #6: cost 109 inf + 5630 95.667 * * [simplify]: Extracting #7: cost 43 inf + 25793 95.684 * * [simplify]: Extracting #8: cost 5 inf + 52343 95.705 * * [simplify]: Extracting #9: cost 0 inf + 56629 95.726 * * [simplify]: Extracting #10: cost 0 inf + 55972 95.747 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 95.747 * [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))))))) 95.747 * * * * [progress]: [ 109 / 307 ] simplifiying candidate # 95.748 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 95.748 * * [simplify]: iters left: 5 (10 enodes) 95.754 * * [simplify]: iters left: 4 (45 enodes) 95.770 * * [simplify]: iters left: 3 (78 enodes) 95.792 * * [simplify]: iters left: 2 (118 enodes) 95.816 * * [simplify]: iters left: 1 (191 enodes) 95.871 * * [simplify]: Extracting #0: cost 1 inf + 0 95.872 * * [simplify]: Extracting #1: cost 13 inf + 0 95.872 * * [simplify]: Extracting #2: cost 60 inf + 1 95.872 * * [simplify]: Extracting #3: cost 92 inf + 7 95.873 * * [simplify]: Extracting #4: cost 83 inf + 930 95.876 * * [simplify]: Extracting #5: cost 41 inf + 6729 95.880 * * [simplify]: Extracting #6: cost 13 inf + 16801 95.887 * * [simplify]: Extracting #7: cost 0 inf + 25197 95.895 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 95.895 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 95.895 * * * * [progress]: [ 110 / 307 ] simplifiying candidate # 95.895 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 95.895 * * [simplify]: iters left: 6 (11 enodes) 95.903 * * [simplify]: iters left: 5 (51 enodes) 95.921 * * [simplify]: iters left: 4 (87 enodes) 95.955 * * [simplify]: iters left: 3 (143 enodes) 95.988 * * [simplify]: iters left: 2 (259 enodes) 96.082 * * [simplify]: iters left: 1 (467 enodes) 96.276 * * [simplify]: Extracting #0: cost 1 inf + 0 96.276 * * [simplify]: Extracting #1: cost 23 inf + 0 96.277 * * [simplify]: Extracting #2: cost 99 inf + 1 96.278 * * [simplify]: Extracting #3: cost 180 inf + 178 96.280 * * [simplify]: Extracting #4: cost 162 inf + 2505 96.286 * * [simplify]: Extracting #5: cost 78 inf + 12096 96.295 * * [simplify]: Extracting #6: cost 33 inf + 29460 96.306 * * [simplify]: Extracting #7: cost 1 inf + 56926 96.316 * * [simplify]: Extracting #8: cost 0 inf + 57804 96.326 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 96.326 * [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)))))) 96.326 * * * * [progress]: [ 111 / 307 ] simplifiying candidate # 96.326 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 96.326 * * [simplify]: iters left: 4 (4 enodes) 96.328 * * [simplify]: iters left: 3 (12 enodes) 96.331 * * [simplify]: Extracting #0: cost 1 inf + 0 96.331 * * [simplify]: Extracting #1: cost 3 inf + 0 96.331 * * [simplify]: Extracting #2: cost 5 inf + 0 96.331 * * [simplify]: Extracting #3: cost 7 inf + 0 96.331 * * [simplify]: Extracting #4: cost 6 inf + 1 96.331 * * [simplify]: Extracting #5: cost 0 inf + 647 96.331 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 96.331 * [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)))))) 96.331 * * * * [progress]: [ 112 / 307 ] simplifiying candidate # 96.332 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 96.332 * * [simplify]: iters left: 4 (4 enodes) 96.333 * * [simplify]: iters left: 3 (13 enodes) 96.340 * * [simplify]: Extracting #0: cost 1 inf + 0 96.340 * * [simplify]: Extracting #1: cost 4 inf + 0 96.340 * * [simplify]: Extracting #2: cost 7 inf + 0 96.341 * * [simplify]: Extracting #3: cost 6 inf + 1 96.341 * * [simplify]: Extracting #4: cost 0 inf + 647 96.341 * [simplify]: Simplified to (fabs (cbrt k)) 96.341 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 96.341 * * * * [progress]: [ 113 / 307 ] simplifiying candidate # 96.342 * [simplify]: Simplifying (sqrt (sqrt k)) 96.342 * * [simplify]: iters left: 2 (3 enodes) 96.342 * * [simplify]: iters left: 1 (9 enodes) 96.344 * * [simplify]: Extracting #0: cost 1 inf + 0 96.344 * * [simplify]: Extracting #1: cost 3 inf + 0 96.344 * * [simplify]: Extracting #2: cost 5 inf + 0 96.344 * * [simplify]: Extracting #3: cost 4 inf + 1 96.344 * * [simplify]: Extracting #4: cost 0 inf + 245 96.344 * [simplify]: Simplified to (sqrt (sqrt k)) 96.344 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 96.344 * * * * [progress]: [ 114 / 307 ] simplifiying candidate # 96.344 * [simplify]: Simplifying (sqrt 1) 96.344 * * [simplify]: iters left: 1 (2 enodes) 96.346 * * [simplify]: Extracting #0: cost 1 inf + 0 96.346 * * [simplify]: Extracting #1: cost 0 inf + 1 96.346 * [simplify]: Simplified to 1 96.346 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 96.346 * * * * [progress]: [ 115 / 307 ] simplifiying candidate # 96.347 * [simplify]: Simplifying (sqrt (sqrt k)) 96.347 * * [simplify]: iters left: 2 (3 enodes) 96.347 * * [simplify]: iters left: 1 (9 enodes) 96.349 * * [simplify]: Extracting #0: cost 1 inf + 0 96.349 * * [simplify]: Extracting #1: cost 3 inf + 0 96.349 * * [simplify]: Extracting #2: cost 5 inf + 0 96.349 * * [simplify]: Extracting #3: cost 4 inf + 1 96.349 * * [simplify]: Extracting #4: cost 0 inf + 245 96.349 * [simplify]: Simplified to (sqrt (sqrt k)) 96.349 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 96.349 * * * * [progress]: [ 116 / 307 ] simplifiying candidate # 96.349 * * * * [progress]: [ 117 / 307 ] simplifiying candidate # 96.349 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 96.349 * * [simplify]: iters left: 5 (8 enodes) 96.352 * * [simplify]: iters left: 4 (31 enodes) 96.358 * * [simplify]: iters left: 3 (51 enodes) 96.367 * * [simplify]: iters left: 2 (85 enodes) 96.391 * * [simplify]: iters left: 1 (152 enodes) 96.449 * * [simplify]: Extracting #0: cost 1 inf + 0 96.449 * * [simplify]: Extracting #1: cost 13 inf + 0 96.450 * * [simplify]: Extracting #2: cost 59 inf + 1 96.450 * * [simplify]: Extracting #3: cost 76 inf + 9 96.452 * * [simplify]: Extracting #4: cost 41 inf + 3303 96.455 * * [simplify]: Extracting #5: cost 16 inf + 10676 96.463 * * [simplify]: Extracting #6: cost 0 inf + 21028 96.469 * * [simplify]: Extracting #7: cost 0 inf + 20456 96.474 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 96.474 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 96.474 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 96.474 * * * * [progress]: [ 119 / 307 ] simplifiying candidate # 96.474 * * * * [progress]: [ 120 / 307 ] simplifiying candidate # 96.475 * [simplify]: Simplifying (- 1) 96.475 * * [simplify]: iters left: 2 (2 enodes) 96.477 * * [simplify]: iters left: 1 (9 enodes) 96.480 * * [simplify]: Extracting #0: cost 1 inf + 0 96.480 * * [simplify]: Extracting #1: cost 0 inf + 1 96.480 * [simplify]: Simplified to -1 96.480 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 96.480 * * * * [progress]: [ 121 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 122 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 123 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 124 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 125 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 126 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 127 / 307 ] simplifiying candidate # 96.481 * * * * [progress]: [ 128 / 307 ] simplifiying candidate # 96.481 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 96.481 * * [simplify]: iters left: 6 (18 enodes) 96.491 * * [simplify]: iters left: 5 (74 enodes) 96.517 * * [simplify]: iters left: 4 (139 enodes) 96.581 * * [simplify]: iters left: 3 (420 enodes) 96.780 * * [simplify]: Extracting #0: cost 1 inf + 0 96.780 * * [simplify]: Extracting #1: cost 49 inf + 0 96.781 * * [simplify]: Extracting #2: cost 196 inf + 1 96.783 * * [simplify]: Extracting #3: cost 307 inf + 74 96.787 * * [simplify]: Extracting #4: cost 310 inf + 3087 96.797 * * [simplify]: Extracting #5: cost 178 inf + 35408 96.820 * * [simplify]: Extracting #6: cost 24 inf + 87292 96.838 * * [simplify]: Extracting #7: cost 0 inf + 96540 96.860 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 96.860 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 96.861 * * * * [progress]: [ 129 / 307 ] simplifiying candidate # 96.861 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 96.861 * * [simplify]: iters left: 6 (17 enodes) 96.869 * * [simplify]: iters left: 5 (72 enodes) 96.882 * * [simplify]: iters left: 4 (132 enodes) 96.918 * * [simplify]: iters left: 3 (349 enodes) 97.038 * * [simplify]: Extracting #0: cost 1 inf + 0 97.038 * * [simplify]: Extracting #1: cost 42 inf + 0 97.038 * * [simplify]: Extracting #2: cost 170 inf + 1 97.039 * * [simplify]: Extracting #3: cost 274 inf + 3 97.041 * * [simplify]: Extracting #4: cost 280 inf + 2631 97.048 * * [simplify]: Extracting #5: cost 99 inf + 47297 97.068 * * [simplify]: Extracting #6: cost 3 inf + 78677 97.091 * * [simplify]: Extracting #7: cost 0 inf + 78689 97.109 * [simplify]: Simplified to (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) 97.109 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 97.109 * * * * [progress]: [ 130 / 307 ] simplifiying candidate # 97.109 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 97.109 * * [simplify]: iters left: 6 (16 enodes) 97.114 * * [simplify]: iters left: 5 (71 enodes) 97.127 * * [simplify]: iters left: 4 (139 enodes) 97.163 * * [simplify]: iters left: 3 (322 enodes) 97.287 * * [simplify]: Extracting #0: cost 1 inf + 0 97.287 * * [simplify]: Extracting #1: cost 29 inf + 0 97.288 * * [simplify]: Extracting #2: cost 130 inf + 1 97.290 * * [simplify]: Extracting #3: cost 228 inf + 74 97.293 * * [simplify]: Extracting #4: cost 227 inf + 4977 97.308 * * [simplify]: Extracting #5: cost 50 inf + 43937 97.322 * * [simplify]: Extracting #6: cost 1 inf + 57445 97.334 * * [simplify]: Extracting #7: cost 0 inf + 57678 97.346 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 97.346 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 97.346 * * * * [progress]: [ 131 / 307 ] simplifiying candidate # 97.347 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 97.347 * * [simplify]: iters left: 6 (16 enodes) 97.356 * * [simplify]: iters left: 5 (71 enodes) 97.384 * * [simplify]: iters left: 4 (139 enodes) 97.437 * * [simplify]: iters left: 3 (322 enodes) 97.567 * * [simplify]: Extracting #0: cost 1 inf + 0 97.568 * * [simplify]: Extracting #1: cost 29 inf + 0 97.568 * * [simplify]: Extracting #2: cost 130 inf + 1 97.570 * * [simplify]: Extracting #3: cost 228 inf + 74 97.572 * * [simplify]: Extracting #4: cost 227 inf + 4977 97.586 * * [simplify]: Extracting #5: cost 50 inf + 43937 97.598 * * [simplify]: Extracting #6: cost 1 inf + 57445 97.610 * * [simplify]: Extracting #7: cost 0 inf + 57678 97.629 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 97.630 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 97.630 * * * * [progress]: [ 132 / 307 ] simplifiying candidate # 97.630 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.630 * * [simplify]: iters left: 6 (16 enodes) 97.640 * * [simplify]: iters left: 5 (70 enodes) 97.665 * * [simplify]: iters left: 4 (131 enodes) 97.713 * * [simplify]: iters left: 3 (293 enodes) 97.852 * * [simplify]: Extracting #0: cost 1 inf + 0 97.852 * * [simplify]: Extracting #1: cost 37 inf + 0 97.853 * * [simplify]: Extracting #2: cost 180 inf + 1 97.854 * * [simplify]: Extracting #3: cost 289 inf + 3 97.856 * * [simplify]: Extracting #4: cost 254 inf + 8924 97.864 * * [simplify]: Extracting #5: cost 66 inf + 52651 97.877 * * [simplify]: Extracting #6: cost 1 inf + 72459 97.895 * * [simplify]: Extracting #7: cost 0 inf + 72715 97.921 * * [simplify]: Extracting #8: cost 0 inf + 72352 97.946 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 97.946 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 97.946 * * * * [progress]: [ 133 / 307 ] simplifiying candidate # 97.946 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 97.947 * * [simplify]: iters left: 6 (15 enodes) 97.956 * * [simplify]: iters left: 5 (64 enodes) 97.978 * * [simplify]: iters left: 4 (109 enodes) 98.012 * * [simplify]: iters left: 3 (203 enodes) 98.088 * * [simplify]: Extracting #0: cost 1 inf + 0 98.088 * * [simplify]: Extracting #1: cost 13 inf + 0 98.088 * * [simplify]: Extracting #2: cost 106 inf + 1 98.089 * * [simplify]: Extracting #3: cost 177 inf + 3 98.089 * * [simplify]: Extracting #4: cost 197 inf + 357 98.091 * * [simplify]: Extracting #5: cost 157 inf + 7680 98.096 * * [simplify]: Extracting #6: cost 41 inf + 37099 98.104 * * [simplify]: Extracting #7: cost 1 inf + 49905 98.112 * * [simplify]: Extracting #8: cost 0 inf + 49480 98.120 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 98.120 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 98.120 * * * * [progress]: [ 134 / 307 ] simplifiying candidate # 98.120 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 98.121 * * [simplify]: iters left: 6 (18 enodes) 98.126 * * [simplify]: iters left: 5 (75 enodes) 98.149 * * [simplify]: iters left: 4 (135 enodes) 98.180 * * [simplify]: iters left: 3 (416 enodes) 98.357 * * [simplify]: Extracting #0: cost 1 inf + 0 98.358 * * [simplify]: Extracting #1: cost 49 inf + 0 98.359 * * [simplify]: Extracting #2: cost 186 inf + 1 98.360 * * [simplify]: Extracting #3: cost 294 inf + 74 98.365 * * [simplify]: Extracting #4: cost 269 inf + 13152 98.391 * * [simplify]: Extracting #5: cost 38 inf + 80494 98.429 * * [simplify]: Extracting #6: cost 0 inf + 93654 98.459 * [simplify]: Simplified to (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))) 98.459 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 98.459 * * * * [progress]: [ 135 / 307 ] simplifiying candidate # 98.460 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 98.460 * * [simplify]: iters left: 6 (17 enodes) 98.466 * * [simplify]: iters left: 5 (73 enodes) 98.478 * * [simplify]: iters left: 4 (128 enodes) 98.523 * * [simplify]: iters left: 3 (343 enodes) 98.688 * * [simplify]: Extracting #0: cost 1 inf + 0 98.688 * * [simplify]: Extracting #1: cost 39 inf + 0 98.689 * * [simplify]: Extracting #2: cost 158 inf + 1 98.691 * * [simplify]: Extracting #3: cost 261 inf + 3 98.693 * * [simplify]: Extracting #4: cost 269 inf + 2504 98.704 * * [simplify]: Extracting #5: cost 122 inf + 37804 98.731 * * [simplify]: Extracting #6: cost 6 inf + 73327 98.763 * * [simplify]: Extracting #7: cost 0 inf + 74608 98.790 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 98.791 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 98.791 * * * * [progress]: [ 136 / 307 ] simplifiying candidate # 98.791 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 98.791 * * [simplify]: iters left: 6 (16 enodes) 98.802 * * [simplify]: iters left: 5 (72 enodes) 98.825 * * [simplify]: iters left: 4 (135 enodes) 98.876 * * [simplify]: iters left: 3 (316 enodes) 99.015 * * [simplify]: Extracting #0: cost 1 inf + 0 99.015 * * [simplify]: Extracting #1: cost 29 inf + 0 99.016 * * [simplify]: Extracting #2: cost 128 inf + 1 99.017 * * [simplify]: Extracting #3: cost 226 inf + 74 99.020 * * [simplify]: Extracting #4: cost 218 inf + 6838 99.034 * * [simplify]: Extracting #5: cost 57 inf + 42922 99.057 * * [simplify]: Extracting #6: cost 0 inf + 57620 99.080 * * [simplify]: Extracting #7: cost 0 inf + 57470 99.104 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 99.104 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 99.104 * * * * [progress]: [ 137 / 307 ] simplifiying candidate # 99.104 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 99.105 * * [simplify]: iters left: 6 (16 enodes) 99.114 * * [simplify]: iters left: 5 (72 enodes) 99.142 * * [simplify]: iters left: 4 (135 enodes) 99.195 * * [simplify]: iters left: 3 (316 enodes) 99.318 * * [simplify]: Extracting #0: cost 1 inf + 0 99.318 * * [simplify]: Extracting #1: cost 29 inf + 0 99.319 * * [simplify]: Extracting #2: cost 128 inf + 1 99.319 * * [simplify]: Extracting #3: cost 226 inf + 74 99.321 * * [simplify]: Extracting #4: cost 218 inf + 6838 99.328 * * [simplify]: Extracting #5: cost 57 inf + 42922 99.350 * * [simplify]: Extracting #6: cost 0 inf + 57620 99.373 * * [simplify]: Extracting #7: cost 0 inf + 57470 99.395 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 99.395 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 99.395 * * * * [progress]: [ 138 / 307 ] simplifiying candidate # 99.396 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 99.396 * * [simplify]: iters left: 6 (16 enodes) 99.406 * * [simplify]: iters left: 5 (71 enodes) 99.430 * * [simplify]: iters left: 4 (127 enodes) 99.477 * * [simplify]: iters left: 3 (288 enodes) 99.596 * * [simplify]: Extracting #0: cost 1 inf + 0 99.596 * * [simplify]: Extracting #1: cost 34 inf + 0 99.597 * * [simplify]: Extracting #2: cost 175 inf + 1 99.598 * * [simplify]: Extracting #3: cost 284 inf + 3 99.601 * * [simplify]: Extracting #4: cost 248 inf + 7709 99.614 * * [simplify]: Extracting #5: cost 67 inf + 53354 99.635 * * [simplify]: Extracting #6: cost 1 inf + 72316 99.655 * * [simplify]: Extracting #7: cost 0 inf + 70972 99.668 * * [simplify]: Extracting #8: cost 0 inf + 70812 99.683 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* n 2) PI)))) (log (sqrt k))) 99.683 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* n 2) PI)))) (log (sqrt k))))) 99.683 * * * * [progress]: [ 139 / 307 ] simplifiying candidate # 99.683 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 99.683 * * [simplify]: iters left: 6 (15 enodes) 99.688 * * [simplify]: iters left: 5 (65 enodes) 99.704 * * [simplify]: iters left: 4 (104 enodes) 99.739 * * [simplify]: iters left: 3 (191 enodes) 99.797 * * [simplify]: Extracting #0: cost 1 inf + 0 99.797 * * [simplify]: Extracting #1: cost 7 inf + 0 99.797 * * [simplify]: Extracting #2: cost 80 inf + 1 99.798 * * [simplify]: Extracting #3: cost 157 inf + 3 99.799 * * [simplify]: Extracting #4: cost 191 inf + 244 99.802 * * [simplify]: Extracting #5: cost 135 inf + 10412 99.811 * * [simplify]: Extracting #6: cost 36 inf + 32461 99.818 * * [simplify]: Extracting #7: cost 6 inf + 43214 99.825 * * [simplify]: Extracting #8: cost 0 inf + 46623 99.832 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 99.832 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 99.832 * * * * [progress]: [ 140 / 307 ] simplifiying candidate # 99.832 * * * * [progress]: [ 141 / 307 ] simplifiying candidate # 99.832 * * * * [progress]: [ 142 / 307 ] simplifiying candidate # 99.833 * [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))))) 99.833 * * [simplify]: iters left: 6 (19 enodes) 99.838 * * [simplify]: iters left: 5 (79 enodes) 99.856 * * [simplify]: iters left: 4 (195 enodes) 99.940 * * [simplify]: Extracting #0: cost 1 inf + 0 99.940 * * [simplify]: Extracting #1: cost 50 inf + 0 99.941 * * [simplify]: Extracting #2: cost 125 inf + 124 99.942 * * [simplify]: Extracting #3: cost 159 inf + 617 99.943 * * [simplify]: Extracting #4: cost 159 inf + 955 99.948 * * [simplify]: Extracting #5: cost 87 inf + 28563 99.958 * * [simplify]: Extracting #6: cost 14 inf + 69758 99.971 * * [simplify]: Extracting #7: cost 0 inf + 79678 99.983 * [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))) 99.983 * [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))))) 99.984 * * * * [progress]: [ 143 / 307 ] simplifiying candidate # 99.988 * [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))))) 99.988 * * [simplify]: iters left: 6 (17 enodes) 99.998 * * [simplify]: iters left: 5 (74 enodes) 100.019 * * [simplify]: iters left: 4 (166 enodes) 100.076 * * [simplify]: iters left: 3 (448 enodes) 100.560 * * [simplify]: Extracting #0: cost 1 inf + 0 100.560 * * [simplify]: Extracting #1: cost 70 inf + 0 100.561 * * [simplify]: Extracting #2: cost 345 inf + 1 100.563 * * [simplify]: Extracting #3: cost 425 inf + 331 100.569 * * [simplify]: Extracting #4: cost 343 inf + 37653 100.603 * * [simplify]: Extracting #5: cost 156 inf + 150291 100.656 * * [simplify]: Extracting #6: cost 15 inf + 270876 100.738 * * [simplify]: Extracting #7: cost 0 inf + 280387 100.830 * * [simplify]: Extracting #8: cost 0 inf + 278795 100.930 * * [simplify]: Extracting #9: cost 0 inf + 278282 101.003 * [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)))) 101.003 * [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)))))) 101.003 * * * * [progress]: [ 144 / 307 ] simplifiying candidate # 101.003 * * * * [progress]: [ 145 / 307 ] simplifiying candidate # 101.003 * * * * [progress]: [ 146 / 307 ] simplifiying candidate # 101.004 * * * * [progress]: [ 147 / 307 ] simplifiying candidate # 101.004 * * * * [progress]: [ 148 / 307 ] simplifiying candidate # 101.004 * [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)))))) 101.004 * * [simplify]: iters left: 6 (17 enodes) 101.015 * * [simplify]: iters left: 5 (72 enodes) 101.040 * * [simplify]: iters left: 4 (117 enodes) 101.079 * * [simplify]: iters left: 3 (190 enodes) 101.136 * * [simplify]: iters left: 2 (287 enodes) 101.185 * * [simplify]: iters left: 1 (450 enodes) 101.379 * * [simplify]: Extracting #0: cost 1 inf + 0 101.379 * * [simplify]: Extracting #1: cost 6 inf + 0 101.380 * * [simplify]: Extracting #2: cost 9 inf + 1 101.380 * * [simplify]: Extracting #3: cost 14 inf + 1 101.380 * * [simplify]: Extracting #4: cost 44 inf + 1 101.381 * * [simplify]: Extracting #5: cost 126 inf + 85 101.382 * * [simplify]: Extracting #6: cost 171 inf + 1211 101.388 * * [simplify]: Extracting #7: cost 104 inf + 13747 101.402 * * [simplify]: Extracting #8: cost 36 inf + 44352 101.422 * * [simplify]: Extracting #9: cost 1 inf + 73954 101.445 * * [simplify]: Extracting #10: cost 0 inf + 73871 101.468 * * [simplify]: Extracting #11: cost 0 inf + 73830 101.490 * [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))))))) 101.490 * [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))))))) 101.491 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 101.491 * * [simplify]: iters left: 6 (15 enodes) 101.500 * * [simplify]: iters left: 5 (60 enodes) 101.519 * * [simplify]: iters left: 4 (91 enodes) 101.549 * * [simplify]: iters left: 3 (133 enodes) 101.572 * * [simplify]: iters left: 2 (225 enodes) 101.652 * * [simplify]: iters left: 1 (396 enodes) 101.782 * * [simplify]: Extracting #0: cost 1 inf + 0 101.782 * * [simplify]: Extracting #1: cost 4 inf + 0 101.782 * * [simplify]: Extracting #2: cost 5 inf + 1 101.782 * * [simplify]: Extracting #3: cost 10 inf + 1 101.782 * * [simplify]: Extracting #4: cost 43 inf + 1 101.782 * * [simplify]: Extracting #5: cost 124 inf + 85 101.783 * * [simplify]: Extracting #6: cost 173 inf + 632 101.785 * * [simplify]: Extracting #7: cost 110 inf + 14333 101.797 * * [simplify]: Extracting #8: cost 21 inf + 55453 101.818 * * [simplify]: Extracting #9: cost 0 inf + 69192 101.835 * * [simplify]: Extracting #10: cost 0 inf + 68268 101.855 * * [simplify]: Extracting #11: cost 0 inf + 68227 101.880 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 101.880 * [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))))))) 101.880 * * * * [progress]: [ 149 / 307 ] simplifiying candidate # 101.881 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 101.881 * * [simplify]: iters left: 6 (16 enodes) 101.887 * * [simplify]: iters left: 5 (65 enodes) 101.898 * * [simplify]: iters left: 4 (96 enodes) 101.920 * * [simplify]: iters left: 3 (138 enodes) 101.966 * * [simplify]: iters left: 2 (230 enodes) 102.027 * * [simplify]: iters left: 1 (401 enodes) 102.172 * * [simplify]: Extracting #0: cost 1 inf + 0 102.172 * * [simplify]: Extracting #1: cost 4 inf + 0 102.172 * * [simplify]: Extracting #2: cost 5 inf + 1 102.173 * * [simplify]: Extracting #3: cost 10 inf + 1 102.173 * * [simplify]: Extracting #4: cost 39 inf + 1 102.173 * * [simplify]: Extracting #5: cost 117 inf + 85 102.174 * * [simplify]: Extracting #6: cost 157 inf + 676 102.179 * * [simplify]: Extracting #7: cost 85 inf + 21017 102.191 * * [simplify]: Extracting #8: cost 32 inf + 43147 102.212 * * [simplify]: Extracting #9: cost 0 inf + 70769 102.235 * * [simplify]: Extracting #10: cost 0 inf + 67837 102.256 * * [simplify]: Extracting #11: cost 0 inf + 67797 102.277 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 102.277 * [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))))))) 102.278 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.278 * * [simplify]: iters left: 6 (15 enodes) 102.287 * * [simplify]: iters left: 5 (60 enodes) 102.297 * * [simplify]: iters left: 4 (91 enodes) 102.315 * * [simplify]: iters left: 3 (133 enodes) 102.357 * * [simplify]: iters left: 2 (225 enodes) 102.829 * * [simplify]: iters left: 1 (396 enodes) 102.954 * * [simplify]: Extracting #0: cost 1 inf + 0 102.954 * * [simplify]: Extracting #1: cost 4 inf + 0 102.954 * * [simplify]: Extracting #2: cost 5 inf + 1 102.954 * * [simplify]: Extracting #3: cost 10 inf + 1 102.954 * * [simplify]: Extracting #4: cost 43 inf + 1 102.955 * * [simplify]: Extracting #5: cost 124 inf + 85 102.956 * * [simplify]: Extracting #6: cost 173 inf + 632 102.961 * * [simplify]: Extracting #7: cost 110 inf + 14333 102.981 * * [simplify]: Extracting #8: cost 21 inf + 55333 103.008 * * [simplify]: Extracting #9: cost 0 inf + 69032 103.038 * * [simplify]: Extracting #10: cost 0 inf + 68108 103.064 * * [simplify]: Extracting #11: cost 0 inf + 68067 103.082 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 103.082 * [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))))))) 103.082 * * * * [progress]: [ 150 / 307 ] simplifiying candidate # 103.083 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 103.083 * * [simplify]: iters left: 6 (14 enodes) 103.088 * * [simplify]: iters left: 5 (59 enodes) 103.099 * * [simplify]: iters left: 4 (105 enodes) 103.118 * * [simplify]: iters left: 3 (212 enodes) 103.197 * * [simplify]: Extracting #0: cost 1 inf + 0 103.197 * * [simplify]: Extracting #1: cost 42 inf + 0 103.198 * * [simplify]: Extracting #2: cost 117 inf + 1 103.199 * * [simplify]: Extracting #3: cost 145 inf + 3 103.200 * * [simplify]: Extracting #4: cost 137 inf + 739 103.203 * * [simplify]: Extracting #5: cost 79 inf + 14616 103.214 * * [simplify]: Extracting #6: cost 18 inf + 44395 103.225 * * [simplify]: Extracting #7: cost 0 inf + 57179 103.236 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 103.236 * [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)))))) 103.237 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 103.237 * * [simplify]: iters left: 6 (13 enodes) 103.241 * * [simplify]: iters left: 5 (53 enodes) 103.253 * * [simplify]: iters left: 4 (89 enodes) 103.275 * * [simplify]: iters left: 3 (146 enodes) 103.315 * * [simplify]: iters left: 2 (298 enodes) 103.448 * * [simplify]: Extracting #0: cost 1 inf + 0 103.448 * * [simplify]: Extracting #1: cost 45 inf + 0 103.448 * * [simplify]: Extracting #2: cost 125 inf + 1 103.449 * * [simplify]: Extracting #3: cost 170 inf + 3 103.450 * * [simplify]: Extracting #4: cost 162 inf + 836 103.451 * * [simplify]: Extracting #5: cost 119 inf + 7078 103.456 * * [simplify]: Extracting #6: cost 55 inf + 42982 103.467 * * [simplify]: Extracting #7: cost 2 inf + 84384 103.489 * * [simplify]: Extracting #8: cost 0 inf + 84317 103.511 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 103.511 * [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))))) 103.511 * * * * [progress]: [ 151 / 307 ] simplifiying candidate # 103.512 * [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)))))) 103.512 * * [simplify]: iters left: 6 (19 enodes) 103.524 * * [simplify]: iters left: 5 (82 enodes) 103.556 * * [simplify]: iters left: 4 (145 enodes) 103.603 * * [simplify]: iters left: 3 (243 enodes) 103.704 * * [simplify]: iters left: 2 (423 enodes) 103.842 * * [simplify]: Extracting #0: cost 1 inf + 0 103.842 * * [simplify]: Extracting #1: cost 18 inf + 0 103.842 * * [simplify]: Extracting #2: cost 33 inf + 1 103.842 * * [simplify]: Extracting #3: cost 47 inf + 1 103.843 * * [simplify]: Extracting #4: cost 88 inf + 286 103.843 * * [simplify]: Extracting #5: cost 107 inf + 2157 103.846 * * [simplify]: Extracting #6: cost 55 inf + 16550 103.852 * * [simplify]: Extracting #7: cost 3 inf + 39495 103.859 * * [simplify]: Extracting #8: cost 0 inf + 40137 103.871 * * [simplify]: Extracting #9: cost 0 inf + 39955 103.885 * [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)))) 103.885 * [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))))))) 103.886 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.886 * * [simplify]: iters left: 6 (16 enodes) 103.896 * * [simplify]: iters left: 5 (65 enodes) 103.917 * * [simplify]: iters left: 4 (101 enodes) 103.949 * * [simplify]: iters left: 3 (145 enodes) 103.991 * * [simplify]: iters left: 2 (246 enodes) 104.058 * * [simplify]: iters left: 1 (408 enodes) 104.162 * * [simplify]: Extracting #0: cost 1 inf + 0 104.162 * * [simplify]: Extracting #1: cost 7 inf + 0 104.162 * * [simplify]: Extracting #2: cost 12 inf + 1 104.162 * * [simplify]: Extracting #3: cost 37 inf + 1 104.162 * * [simplify]: Extracting #4: cost 101 inf + 327 104.163 * * [simplify]: Extracting #5: cost 133 inf + 2233 104.167 * * [simplify]: Extracting #6: cost 60 inf + 23765 104.175 * * [simplify]: Extracting #7: cost 7 inf + 56358 104.184 * * [simplify]: Extracting #8: cost 0 inf + 61078 104.194 * * [simplify]: Extracting #9: cost 0 inf + 60315 104.206 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 104.206 * [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))))) 104.206 * * * * [progress]: [ 152 / 307 ] simplifiying candidate # 104.207 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 104.207 * * [simplify]: iters left: 6 (18 enodes) 104.217 * * [simplify]: iters left: 5 (75 enodes) 104.241 * * [simplify]: iters left: 4 (119 enodes) 104.261 * * [simplify]: iters left: 3 (198 enodes) 104.323 * * [simplify]: iters left: 2 (353 enodes) 104.415 * * [simplify]: Extracting #0: cost 1 inf + 0 104.415 * * [simplify]: Extracting #1: cost 15 inf + 0 104.415 * * [simplify]: Extracting #2: cost 26 inf + 1 104.415 * * [simplify]: Extracting #3: cost 45 inf + 1 104.415 * * [simplify]: Extracting #4: cost 94 inf + 650 104.416 * * [simplify]: Extracting #5: cost 104 inf + 1924 104.418 * * [simplify]: Extracting #6: cost 45 inf + 12806 104.422 * * [simplify]: Extracting #7: cost 10 inf + 27315 104.430 * * [simplify]: Extracting #8: cost 0 inf + 34481 104.435 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 104.435 * [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))))))) 104.436 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 104.436 * * [simplify]: iters left: 6 (16 enodes) 104.441 * * [simplify]: iters left: 5 (65 enodes) 104.462 * * [simplify]: iters left: 4 (102 enodes) 104.495 * * [simplify]: iters left: 3 (146 enodes) 104.529 * * [simplify]: iters left: 2 (248 enodes) 104.593 * * [simplify]: iters left: 1 (404 enodes) 104.721 * * [simplify]: Extracting #0: cost 1 inf + 0 104.721 * * [simplify]: Extracting #1: cost 7 inf + 0 104.721 * * [simplify]: Extracting #2: cost 13 inf + 1 104.721 * * [simplify]: Extracting #3: cost 46 inf + 1 104.722 * * [simplify]: Extracting #4: cost 120 inf + 206 104.723 * * [simplify]: Extracting #5: cost 141 inf + 1322 104.727 * * [simplify]: Extracting #6: cost 90 inf + 9780 104.741 * * [simplify]: Extracting #7: cost 20 inf + 46969 104.764 * * [simplify]: Extracting #8: cost 0 inf + 63552 104.777 * * [simplify]: Extracting #9: cost 0 inf + 63474 104.787 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 104.787 * [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))))) 104.788 * * * * [progress]: [ 153 / 307 ] simplifiying candidate # 104.788 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 104.788 * * [simplify]: iters left: 6 (9 enodes) 104.791 * * [simplify]: iters left: 5 (33 enodes) 104.797 * * [simplify]: iters left: 4 (60 enodes) 104.812 * * [simplify]: iters left: 3 (102 enodes) 104.831 * * [simplify]: iters left: 2 (105 enodes) 104.838 * * [simplify]: Extracting #0: cost 1 inf + 0 104.838 * * [simplify]: Extracting #1: cost 6 inf + 0 104.838 * * [simplify]: Extracting #2: cost 9 inf + 1 104.838 * * [simplify]: Extracting #3: cost 11 inf + 1 104.838 * * [simplify]: Extracting #4: cost 2 inf + 1053 104.839 * * [simplify]: Extracting #5: cost 0 inf + 1376 104.839 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 104.839 * [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)))))) 104.839 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 104.839 * * [simplify]: iters left: 6 (15 enodes) 104.846 * * [simplify]: iters left: 5 (62 enodes) 104.857 * * [simplify]: iters left: 4 (102 enodes) 104.885 * * [simplify]: iters left: 3 (166 enodes) 104.955 * * [simplify]: iters left: 2 (338 enodes) 105.092 * * [simplify]: Extracting #0: cost 1 inf + 0 105.092 * * [simplify]: Extracting #1: cost 57 inf + 0 105.093 * * [simplify]: Extracting #2: cost 141 inf + 1 105.094 * * [simplify]: Extracting #3: cost 188 inf + 3 105.097 * * [simplify]: Extracting #4: cost 165 inf + 4227 105.102 * * [simplify]: Extracting #5: cost 124 inf + 14196 105.120 * * [simplify]: Extracting #6: cost 26 inf + 77548 105.145 * * [simplify]: Extracting #7: cost 1 inf + 96382 105.171 * * [simplify]: Extracting #8: cost 0 inf + 96998 105.201 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 105.201 * [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))))) 105.201 * * * * [progress]: [ 154 / 307 ] simplifiying candidate # 105.202 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 105.202 * * [simplify]: iters left: 6 (18 enodes) 105.213 * * [simplify]: iters left: 5 (78 enodes) 105.239 * * [simplify]: iters left: 4 (135 enodes) 105.284 * * [simplify]: iters left: 3 (266 enodes) 105.393 * * [simplify]: Extracting #0: cost 1 inf + 0 105.394 * * [simplify]: Extracting #1: cost 43 inf + 0 105.394 * * [simplify]: Extracting #2: cost 117 inf + 1 105.395 * * [simplify]: Extracting #3: cost 161 inf + 2 105.397 * * [simplify]: Extracting #4: cost 163 inf + 539 105.399 * * [simplify]: Extracting #5: cost 119 inf + 4966 105.405 * * [simplify]: Extracting #6: cost 71 inf + 18367 105.418 * * [simplify]: Extracting #7: cost 16 inf + 53120 105.440 * * [simplify]: Extracting #8: cost 0 inf + 65353 105.450 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 105.450 * [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)))))) 105.450 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 105.450 * * [simplify]: iters left: 6 (16 enodes) 105.456 * * [simplify]: iters left: 5 (68 enodes) 105.469 * * [simplify]: iters left: 4 (115 enodes) 105.508 * * [simplify]: iters left: 3 (196 enodes) 105.571 * * [simplify]: iters left: 2 (402 enodes) 105.724 * * [simplify]: Extracting #0: cost 1 inf + 0 105.724 * * [simplify]: Extracting #1: cost 47 inf + 0 105.725 * * [simplify]: Extracting #2: cost 129 inf + 1 105.727 * * [simplify]: Extracting #3: cost 189 inf + 3 105.733 * * [simplify]: Extracting #4: cost 183 inf + 1378 105.738 * * [simplify]: Extracting #5: cost 129 inf + 14919 105.757 * * [simplify]: Extracting #6: cost 26 inf + 73275 105.775 * * [simplify]: Extracting #7: cost 0 inf + 92628 105.788 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 105.788 * [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))))) 105.788 * * * * [progress]: [ 155 / 307 ] simplifiying candidate # 105.789 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 105.789 * * [simplify]: iters left: 6 (14 enodes) 105.797 * * [simplify]: iters left: 5 (58 enodes) 105.812 * * [simplify]: iters left: 4 (90 enodes) 105.828 * * [simplify]: iters left: 3 (150 enodes) 105.877 * * [simplify]: iters left: 2 (312 enodes) 105.979 * * [simplify]: Extracting #0: cost 1 inf + 0 105.979 * * [simplify]: Extracting #1: cost 47 inf + 0 105.980 * * [simplify]: Extracting #2: cost 129 inf + 1 105.981 * * [simplify]: Extracting #3: cost 178 inf + 4 105.982 * * [simplify]: Extracting #4: cost 176 inf + 581 105.984 * * [simplify]: Extracting #5: cost 127 inf + 10862 105.990 * * [simplify]: Extracting #6: cost 44 inf + 53627 106.000 * * [simplify]: Extracting #7: cost 0 inf + 86681 106.013 * * [simplify]: Extracting #8: cost 0 inf + 85633 106.038 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 106.038 * [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)))))) 106.038 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 106.038 * * [simplify]: iters left: 6 (13 enodes) 106.045 * * [simplify]: iters left: 5 (53 enodes) 106.054 * * [simplify]: iters left: 4 (89 enodes) 106.069 * * [simplify]: iters left: 3 (146 enodes) 106.118 * * [simplify]: iters left: 2 (298 enodes) 106.261 * * [simplify]: Extracting #0: cost 1 inf + 0 106.261 * * [simplify]: Extracting #1: cost 45 inf + 0 106.262 * * [simplify]: Extracting #2: cost 125 inf + 1 106.263 * * [simplify]: Extracting #3: cost 170 inf + 3 106.264 * * [simplify]: Extracting #4: cost 162 inf + 876 106.267 * * [simplify]: Extracting #5: cost 119 inf + 7158 106.278 * * [simplify]: Extracting #6: cost 55 inf + 43062 106.299 * * [simplify]: Extracting #7: cost 2 inf + 84464 106.312 * * [simplify]: Extracting #8: cost 0 inf + 84397 106.324 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 106.324 * [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))))) 106.324 * * * * [progress]: [ 156 / 307 ] simplifiying candidate # 106.324 * [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)))))) 106.325 * * [simplify]: iters left: 6 (19 enodes) 106.335 * * [simplify]: iters left: 5 (79 enodes) 106.365 * * [simplify]: iters left: 4 (117 enodes) 106.386 * * [simplify]: iters left: 3 (174 enodes) 106.422 * * [simplify]: iters left: 2 (280 enodes) 106.493 * * [simplify]: iters left: 1 (444 enodes) 106.671 * * [simplify]: Extracting #0: cost 1 inf + 0 106.671 * * [simplify]: Extracting #1: cost 10 inf + 0 106.671 * * [simplify]: Extracting #2: cost 19 inf + 1 106.671 * * [simplify]: Extracting #3: cost 45 inf + 1 106.672 * * [simplify]: Extracting #4: cost 110 inf + 407 106.673 * * [simplify]: Extracting #5: cost 165 inf + 949 106.682 * * [simplify]: Extracting #6: cost 99 inf + 11329 106.691 * * [simplify]: Extracting #7: cost 39 inf + 31094 106.708 * * [simplify]: Extracting #8: cost 8 inf + 56603 106.722 * * [simplify]: Extracting #9: cost 0 inf + 63385 106.732 * * [simplify]: Extracting #10: cost 0 inf + 62807 106.742 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 106.742 * [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))))))) 106.742 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 106.742 * * [simplify]: iters left: 6 (16 enodes) 106.747 * * [simplify]: iters left: 5 (65 enodes) 106.760 * * [simplify]: iters left: 4 (101 enodes) 106.791 * * [simplify]: iters left: 3 (145 enodes) 106.844 * * [simplify]: iters left: 2 (246 enodes) 106.897 * * [simplify]: iters left: 1 (408 enodes) 107.078 * * [simplify]: Extracting #0: cost 1 inf + 0 107.078 * * [simplify]: Extracting #1: cost 7 inf + 0 107.078 * * [simplify]: Extracting #2: cost 12 inf + 1 107.078 * * [simplify]: Extracting #3: cost 37 inf + 1 107.079 * * [simplify]: Extracting #4: cost 101 inf + 407 107.081 * * [simplify]: Extracting #5: cost 133 inf + 2313 107.088 * * [simplify]: Extracting #6: cost 60 inf + 23845 107.104 * * [simplify]: Extracting #7: cost 7 inf + 56438 107.123 * * [simplify]: Extracting #8: cost 0 inf + 61158 107.142 * * [simplify]: Extracting #9: cost 0 inf + 60395 107.156 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 107.156 * [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))))) 107.156 * * * * [progress]: [ 157 / 307 ] simplifiying candidate # 107.156 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.157 * * [simplify]: iters left: 6 (18 enodes) 107.162 * * [simplify]: iters left: 5 (74 enodes) 107.177 * * [simplify]: iters left: 4 (111 enodes) 107.197 * * [simplify]: iters left: 3 (160 enodes) 107.250 * * [simplify]: iters left: 2 (258 enodes) 107.298 * * [simplify]: iters left: 1 (426 enodes) 107.453 * * [simplify]: Extracting #0: cost 1 inf + 0 107.453 * * [simplify]: Extracting #1: cost 7 inf + 0 107.453 * * [simplify]: Extracting #2: cost 14 inf + 1 107.453 * * [simplify]: Extracting #3: cost 40 inf + 1 107.454 * * [simplify]: Extracting #4: cost 121 inf + 205 107.459 * * [simplify]: Extracting #5: cost 157 inf + 621 107.463 * * [simplify]: Extracting #6: cost 100 inf + 7496 107.472 * * [simplify]: Extracting #7: cost 44 inf + 29917 107.489 * * [simplify]: Extracting #8: cost 7 inf + 56668 107.509 * * [simplify]: Extracting #9: cost 0 inf + 61806 107.528 * [simplify]: Simplified to (/ (fabs (pow (* (* n 2) PI) (- 1/4 (/ k 4)))) (fabs (cbrt k))) 107.528 * [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))))))) 107.529 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.529 * * [simplify]: iters left: 6 (16 enodes) 107.538 * * [simplify]: iters left: 5 (65 enodes) 107.559 * * [simplify]: iters left: 4 (102 enodes) 107.589 * * [simplify]: iters left: 3 (146 enodes) 107.637 * * [simplify]: iters left: 2 (248 enodes) 107.700 * * [simplify]: iters left: 1 (404 enodes) 107.873 * * [simplify]: Extracting #0: cost 1 inf + 0 107.873 * * [simplify]: Extracting #1: cost 7 inf + 0 107.873 * * [simplify]: Extracting #2: cost 13 inf + 1 107.873 * * [simplify]: Extracting #3: cost 46 inf + 1 107.874 * * [simplify]: Extracting #4: cost 120 inf + 286 107.875 * * [simplify]: Extracting #5: cost 141 inf + 1402 107.880 * * [simplify]: Extracting #6: cost 90 inf + 9860 107.893 * * [simplify]: Extracting #7: cost 20 inf + 47049 107.912 * * [simplify]: Extracting #8: cost 0 inf + 63632 107.932 * * [simplify]: Extracting #9: cost 0 inf + 63554 107.951 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 107.951 * [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))))) 107.951 * * * * [progress]: [ 158 / 307 ] simplifiying candidate # 107.952 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 107.952 * * [simplify]: iters left: 6 (9 enodes) 107.957 * * [simplify]: iters left: 5 (31 enodes) 107.967 * * [simplify]: iters left: 4 (34 enodes) 107.976 * * [simplify]: Extracting #0: cost 1 inf + 0 107.976 * * [simplify]: Extracting #1: cost 4 inf + 0 107.976 * * [simplify]: Extracting #2: cost 6 inf + 1 107.977 * * [simplify]: Extracting #3: cost 9 inf + 1 107.977 * * [simplify]: Extracting #4: cost 0 inf + 972 107.977 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 107.977 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 107.978 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 107.978 * * [simplify]: iters left: 6 (15 enodes) 107.983 * * [simplify]: iters left: 5 (62 enodes) 107.997 * * [simplify]: iters left: 4 (102 enodes) 108.026 * * [simplify]: iters left: 3 (166 enodes) 108.075 * * [simplify]: iters left: 2 (338 enodes) 108.231 * * [simplify]: Extracting #0: cost 1 inf + 0 108.231 * * [simplify]: Extracting #1: cost 57 inf + 0 108.232 * * [simplify]: Extracting #2: cost 141 inf + 1 108.233 * * [simplify]: Extracting #3: cost 188 inf + 3 108.236 * * [simplify]: Extracting #4: cost 165 inf + 4307 108.241 * * [simplify]: Extracting #5: cost 124 inf + 14276 108.259 * * [simplify]: Extracting #6: cost 26 inf + 77628 108.285 * * [simplify]: Extracting #7: cost 1 inf + 96462 108.311 * * [simplify]: Extracting #8: cost 0 inf + 97078 108.337 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 108.337 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 108.338 * * * * [progress]: [ 159 / 307 ] simplifiying candidate # 108.338 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 108.338 * * [simplify]: iters left: 6 (18 enodes) 108.352 * * [simplify]: iters left: 5 (77 enodes) 108.378 * * [simplify]: iters left: 4 (121 enodes) 108.417 * * [simplify]: iters left: 3 (197 enodes) 108.494 * * [simplify]: iters left: 2 (377 enodes) 108.628 * * [simplify]: Extracting #0: cost 1 inf + 0 108.629 * * [simplify]: Extracting #1: cost 48 inf + 0 108.629 * * [simplify]: Extracting #2: cost 132 inf + 1 108.630 * * [simplify]: Extracting #3: cost 196 inf + 3 108.631 * * [simplify]: Extracting #4: cost 185 inf + 3235 108.635 * * [simplify]: Extracting #5: cost 108 inf + 25362 108.657 * * [simplify]: Extracting #6: cost 21 inf + 83233 108.687 * * [simplify]: Extracting #7: cost 0 inf + 100146 108.720 * * [simplify]: Extracting #8: cost 0 inf + 99462 108.749 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 108.749 * [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)))))) 108.750 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 108.750 * * [simplify]: iters left: 6 (16 enodes) 108.760 * * [simplify]: iters left: 5 (68 enodes) 108.782 * * [simplify]: iters left: 4 (115 enodes) 108.821 * * [simplify]: iters left: 3 (196 enodes) 108.892 * * [simplify]: iters left: 2 (402 enodes) 109.093 * * [simplify]: Extracting #0: cost 1 inf + 0 109.093 * * [simplify]: Extracting #1: cost 47 inf + 0 109.094 * * [simplify]: Extracting #2: cost 129 inf + 1 109.096 * * [simplify]: Extracting #3: cost 189 inf + 3 109.097 * * [simplify]: Extracting #4: cost 183 inf + 1458 109.107 * * [simplify]: Extracting #5: cost 129 inf + 14999 109.125 * * [simplify]: Extracting #6: cost 26 inf + 73355 109.151 * * [simplify]: Extracting #7: cost 0 inf + 92708 109.172 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 109.172 * [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))))) 109.172 * * * * [progress]: [ 160 / 307 ] simplifiying candidate # 109.172 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 109.172 * * [simplify]: iters left: 6 (13 enodes) 109.177 * * [simplify]: iters left: 5 (54 enodes) 109.187 * * [simplify]: iters left: 4 (90 enodes) 109.206 * * [simplify]: iters left: 3 (152 enodes) 109.267 * * [simplify]: iters left: 2 (297 enodes) 109.383 * * [simplify]: Extracting #0: cost 1 inf + 0 109.383 * * [simplify]: Extracting #1: cost 46 inf + 0 109.384 * * [simplify]: Extracting #2: cost 127 inf + 1 109.385 * * [simplify]: Extracting #3: cost 168 inf + 4 109.386 * * [simplify]: Extracting #4: cost 167 inf + 379 109.389 * * [simplify]: Extracting #5: cost 130 inf + 5609 109.395 * * [simplify]: Extracting #6: cost 70 inf + 28183 109.413 * * [simplify]: Extracting #7: cost 6 inf + 71892 109.431 * * [simplify]: Extracting #8: cost 0 inf + 76311 109.442 * * [simplify]: Extracting #9: cost 0 inf + 75889 109.454 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 109.455 * [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)))))) 109.455 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 109.455 * * [simplify]: iters left: 6 (13 enodes) 109.460 * * [simplify]: iters left: 5 (53 enodes) 109.478 * * [simplify]: iters left: 4 (89 enodes) 109.507 * * [simplify]: iters left: 3 (146 enodes) 109.567 * * [simplify]: iters left: 2 (298 enodes) 109.703 * * [simplify]: Extracting #0: cost 1 inf + 0 109.703 * * [simplify]: Extracting #1: cost 45 inf + 0 109.703 * * [simplify]: Extracting #2: cost 125 inf + 1 109.704 * * [simplify]: Extracting #3: cost 170 inf + 3 109.706 * * [simplify]: Extracting #4: cost 162 inf + 756 109.709 * * [simplify]: Extracting #5: cost 119 inf + 6798 109.719 * * [simplify]: Extracting #6: cost 55 inf + 41462 109.740 * * [simplify]: Extracting #7: cost 2 inf + 81304 109.763 * * [simplify]: Extracting #8: cost 0 inf + 81157 109.786 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 109.786 * [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))))) 109.787 * * * * [progress]: [ 161 / 307 ] simplifiying candidate # 109.787 * [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)))))) 109.787 * * [simplify]: iters left: 6 (18 enodes) 109.796 * * [simplify]: iters left: 5 (75 enodes) 109.809 * * [simplify]: iters left: 4 (113 enodes) 109.834 * * [simplify]: iters left: 3 (170 enodes) 109.869 * * [simplify]: iters left: 2 (279 enodes) 109.947 * * [simplify]: iters left: 1 (451 enodes) 110.139 * * [simplify]: Extracting #0: cost 1 inf + 0 110.139 * * [simplify]: Extracting #1: cost 10 inf + 0 110.139 * * [simplify]: Extracting #2: cost 18 inf + 1 110.140 * * [simplify]: Extracting #3: cost 44 inf + 1 110.140 * * [simplify]: Extracting #4: cost 111 inf + 247 110.141 * * [simplify]: Extracting #5: cost 157 inf + 913 110.143 * * [simplify]: Extracting #6: cost 90 inf + 12363 110.153 * * [simplify]: Extracting #7: cost 27 inf + 46066 110.171 * * [simplify]: Extracting #8: cost 0 inf + 67303 110.194 * * [simplify]: Extracting #9: cost 0 inf + 63743 110.217 * * [simplify]: Extracting #10: cost 0 inf + 62644 110.240 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 110.240 * [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))))))) 110.241 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.241 * * [simplify]: iters left: 6 (16 enodes) 110.251 * * [simplify]: iters left: 5 (65 enodes) 110.269 * * [simplify]: iters left: 4 (101 enodes) 110.287 * * [simplify]: iters left: 3 (145 enodes) 110.323 * * [simplify]: iters left: 2 (246 enodes) 110.387 * * [simplify]: iters left: 1 (408 enodes) 110.526 * * [simplify]: Extracting #0: cost 1 inf + 0 110.526 * * [simplify]: Extracting #1: cost 7 inf + 0 110.527 * * [simplify]: Extracting #2: cost 12 inf + 1 110.527 * * [simplify]: Extracting #3: cost 37 inf + 1 110.527 * * [simplify]: Extracting #4: cost 101 inf + 247 110.528 * * [simplify]: Extracting #5: cost 133 inf + 2073 110.533 * * [simplify]: Extracting #6: cost 60 inf + 23445 110.549 * * [simplify]: Extracting #7: cost 7 inf + 56038 110.568 * * [simplify]: Extracting #8: cost 0 inf + 60758 110.587 * * [simplify]: Extracting #9: cost 0 inf + 59995 110.606 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 110.606 * [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))))) 110.606 * * * * [progress]: [ 162 / 307 ] simplifiying candidate # 110.607 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.607 * * [simplify]: iters left: 6 (17 enodes) 110.621 * * [simplify]: iters left: 5 (70 enodes) 110.644 * * [simplify]: iters left: 4 (107 enodes) 110.677 * * [simplify]: iters left: 3 (156 enodes) 110.727 * * [simplify]: iters left: 2 (251 enodes) 110.806 * * [simplify]: iters left: 1 (408 enodes) 110.956 * * [simplify]: Extracting #0: cost 1 inf + 0 110.956 * * [simplify]: Extracting #1: cost 7 inf + 0 110.956 * * [simplify]: Extracting #2: cost 13 inf + 1 110.956 * * [simplify]: Extracting #3: cost 39 inf + 1 110.957 * * [simplify]: Extracting #4: cost 113 inf + 166 110.958 * * [simplify]: Extracting #5: cost 146 inf + 667 110.961 * * [simplify]: Extracting #6: cost 105 inf + 4939 110.967 * * [simplify]: Extracting #7: cost 50 inf + 17968 110.978 * * [simplify]: Extracting #8: cost 8 inf + 50843 110.988 * * [simplify]: Extracting #9: cost 0 inf + 57618 111.001 * * [simplify]: Extracting #10: cost 0 inf + 56873 111.015 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.015 * [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))))))) 111.016 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.016 * * [simplify]: iters left: 6 (16 enodes) 111.021 * * [simplify]: iters left: 5 (65 enodes) 111.032 * * [simplify]: iters left: 4 (102 enodes) 111.059 * * [simplify]: iters left: 3 (146 enodes) 111.090 * * [simplify]: iters left: 2 (248 enodes) 111.175 * * [simplify]: iters left: 1 (404 enodes) 111.322 * * [simplify]: Extracting #0: cost 1 inf + 0 111.322 * * [simplify]: Extracting #1: cost 7 inf + 0 111.323 * * [simplify]: Extracting #2: cost 13 inf + 1 111.323 * * [simplify]: Extracting #3: cost 46 inf + 1 111.324 * * [simplify]: Extracting #4: cost 120 inf + 166 111.325 * * [simplify]: Extracting #5: cost 141 inf + 1162 111.329 * * [simplify]: Extracting #6: cost 90 inf + 9620 111.343 * * [simplify]: Extracting #7: cost 20 inf + 46689 111.362 * * [simplify]: Extracting #8: cost 0 inf + 63232 111.380 * * [simplify]: Extracting #9: cost 0 inf + 63154 111.397 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.397 * [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))))) 111.397 * * * * [progress]: [ 163 / 307 ] simplifiying candidate # 111.397 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 111.397 * * [simplify]: iters left: 6 (8 enodes) 111.400 * * [simplify]: iters left: 5 (28 enodes) 111.405 * * [simplify]: iters left: 4 (30 enodes) 111.409 * * [simplify]: Extracting #0: cost 1 inf + 0 111.409 * * [simplify]: Extracting #1: cost 4 inf + 0 111.409 * * [simplify]: Extracting #2: cost 5 inf + 1 111.409 * * [simplify]: Extracting #3: cost 7 inf + 1 111.409 * * [simplify]: Extracting #4: cost 3 inf + 165 111.409 * * [simplify]: Extracting #5: cost 0 inf + 490 111.409 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 111.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 111.410 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 111.410 * * [simplify]: iters left: 6 (15 enodes) 111.415 * * [simplify]: iters left: 5 (62 enodes) 111.427 * * [simplify]: iters left: 4 (102 enodes) 111.465 * * [simplify]: iters left: 3 (166 enodes) 111.511 * * [simplify]: iters left: 2 (338 enodes) 111.665 * * [simplify]: Extracting #0: cost 1 inf + 0 111.665 * * [simplify]: Extracting #1: cost 57 inf + 0 111.666 * * [simplify]: Extracting #2: cost 141 inf + 1 111.667 * * [simplify]: Extracting #3: cost 188 inf + 3 111.669 * * [simplify]: Extracting #4: cost 165 inf + 4027 111.675 * * [simplify]: Extracting #5: cost 124 inf + 13636 111.693 * * [simplify]: Extracting #6: cost 26 inf + 74868 111.719 * * [simplify]: Extracting #7: cost 1 inf + 92982 111.745 * * [simplify]: Extracting #8: cost 0 inf + 93558 111.772 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 111.772 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 111.772 * * * * [progress]: [ 164 / 307 ] simplifiying candidate # 111.772 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 111.773 * * [simplify]: iters left: 6 (17 enodes) 111.783 * * [simplify]: iters left: 5 (73 enodes) 111.813 * * [simplify]: iters left: 4 (117 enodes) 111.851 * * [simplify]: iters left: 3 (193 enodes) 111.925 * * [simplify]: iters left: 2 (370 enodes) 112.060 * * [simplify]: Extracting #0: cost 1 inf + 0 112.060 * * [simplify]: Extracting #1: cost 50 inf + 0 112.060 * * [simplify]: Extracting #2: cost 139 inf + 1 112.061 * * [simplify]: Extracting #3: cost 199 inf + 3 112.062 * * [simplify]: Extracting #4: cost 188 inf + 3945 112.066 * * [simplify]: Extracting #5: cost 121 inf + 20967 112.077 * * [simplify]: Extracting #6: cost 25 inf + 83209 112.101 * * [simplify]: Extracting #7: cost 0 inf + 102013 112.133 * * [simplify]: Extracting #8: cost 0 inf + 101519 112.164 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 112.164 * [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)))))) 112.165 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 112.165 * * [simplify]: iters left: 6 (16 enodes) 112.177 * * [simplify]: iters left: 5 (68 enodes) 112.188 * * [simplify]: iters left: 4 (115 enodes) 112.210 * * [simplify]: iters left: 3 (196 enodes) 112.258 * * [simplify]: iters left: 2 (402 enodes) 112.423 * * [simplify]: Extracting #0: cost 1 inf + 0 112.423 * * [simplify]: Extracting #1: cost 47 inf + 0 112.424 * * [simplify]: Extracting #2: cost 129 inf + 1 112.425 * * [simplify]: Extracting #3: cost 189 inf + 3 112.425 * * [simplify]: Extracting #4: cost 183 inf + 1338 112.428 * * [simplify]: Extracting #5: cost 129 inf + 14559 112.440 * * [simplify]: Extracting #6: cost 26 inf + 70835 112.470 * * [simplify]: Extracting #7: cost 0 inf + 89548 112.497 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 112.497 * [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))))) 112.498 * * * * [progress]: [ 165 / 307 ] simplifiying candidate # 112.498 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 112.498 * * [simplify]: iters left: 6 (12 enodes) 112.508 * * [simplify]: iters left: 5 (51 enodes) 112.526 * * [simplify]: iters left: 4 (82 enodes) 112.544 * * [simplify]: iters left: 3 (126 enodes) 112.571 * * [simplify]: iters left: 2 (229 enodes) 112.656 * * [simplify]: iters left: 1 (458 enodes) 112.944 * * [simplify]: Extracting #0: cost 1 inf + 0 112.944 * * [simplify]: Extracting #1: cost 36 inf + 0 112.945 * * [simplify]: Extracting #2: cost 144 inf + 3 112.945 * * [simplify]: Extracting #3: cost 196 inf + 8 112.947 * * [simplify]: Extracting #4: cost 173 inf + 3165 112.950 * * [simplify]: Extracting #5: cost 112 inf + 16086 112.964 * * [simplify]: Extracting #6: cost 17 inf + 79824 112.992 * * [simplify]: Extracting #7: cost 0 inf + 92274 113.021 * * [simplify]: Extracting #8: cost 0 inf + 89774 113.052 * * [simplify]: Extracting #9: cost 0 inf + 89432 113.070 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 113.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 113.071 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 113.071 * * [simplify]: iters left: 6 (12 enodes) 113.076 * * [simplify]: iters left: 5 (50 enodes) 113.085 * * [simplify]: iters left: 4 (86 enodes) 113.101 * * [simplify]: iters left: 3 (147 enodes) 113.143 * * [simplify]: iters left: 2 (300 enodes) 113.237 * * [simplify]: Extracting #0: cost 1 inf + 0 113.237 * * [simplify]: Extracting #1: cost 41 inf + 0 113.237 * * [simplify]: Extracting #2: cost 125 inf + 1 113.238 * * [simplify]: Extracting #3: cost 163 inf + 127 113.239 * * [simplify]: Extracting #4: cost 162 inf + 425 113.240 * * [simplify]: Extracting #5: cost 132 inf + 3989 113.244 * * [simplify]: Extracting #6: cost 68 inf + 31169 113.255 * * [simplify]: Extracting #7: cost 6 inf + 73091 113.265 * * [simplify]: Extracting #8: cost 0 inf + 74351 113.275 * * [simplify]: Extracting #9: cost 0 inf + 74220 113.289 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 113.289 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 113.290 * * * * [progress]: [ 166 / 307 ] simplifiying candidate # 113.290 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 113.290 * * [simplify]: iters left: 6 (17 enodes) 113.297 * * [simplify]: iters left: 5 (72 enodes) 113.310 * * [simplify]: iters left: 4 (112 enodes) 113.327 * * [simplify]: iters left: 3 (159 enodes) 113.366 * * [simplify]: iters left: 2 (250 enodes) 113.421 * * [simplify]: iters left: 1 (416 enodes) 113.547 * * [simplify]: Extracting #0: cost 1 inf + 0 113.547 * * [simplify]: Extracting #1: cost 7 inf + 0 113.547 * * [simplify]: Extracting #2: cost 10 inf + 1 113.547 * * [simplify]: Extracting #3: cost 34 inf + 1 113.548 * * [simplify]: Extracting #4: cost 101 inf + 2 113.548 * * [simplify]: Extracting #5: cost 158 inf + 176 113.549 * * [simplify]: Extracting #6: cost 156 inf + 394 113.550 * * [simplify]: Extracting #7: cost 118 inf + 3545 113.555 * * [simplify]: Extracting #8: cost 42 inf + 26423 113.572 * * [simplify]: Extracting #9: cost 4 inf + 56450 113.582 * * [simplify]: Extracting #10: cost 0 inf + 58363 113.593 * * [simplify]: Extracting #11: cost 0 inf + 57160 113.609 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 113.609 * [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))))))) 113.610 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.610 * * [simplify]: iters left: 6 (15 enodes) 113.618 * * [simplify]: iters left: 5 (62 enodes) 113.636 * * [simplify]: iters left: 4 (98 enodes) 113.667 * * [simplify]: iters left: 3 (142 enodes) 113.695 * * [simplify]: iters left: 2 (243 enodes) 113.755 * * [simplify]: iters left: 1 (397 enodes) 113.879 * * [simplify]: Extracting #0: cost 1 inf + 0 113.879 * * [simplify]: Extracting #1: cost 7 inf + 0 113.879 * * [simplify]: Extracting #2: cost 12 inf + 1 113.880 * * [simplify]: Extracting #3: cost 32 inf + 166 113.880 * * [simplify]: Extracting #4: cost 99 inf + 249 113.882 * * [simplify]: Extracting #5: cost 136 inf + 963 113.886 * * [simplify]: Extracting #6: cost 84 inf + 11802 113.895 * * [simplify]: Extracting #7: cost 39 inf + 29194 113.911 * * [simplify]: Extracting #8: cost 3 inf + 58605 113.929 * * [simplify]: Extracting #9: cost 0 inf + 60363 113.938 * * [simplify]: Extracting #10: cost 0 inf + 60114 113.948 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 113.948 * [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)))) 113.948 * * * * [progress]: [ 167 / 307 ] simplifiying candidate # 113.948 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.948 * * [simplify]: iters left: 6 (16 enodes) 113.957 * * [simplify]: iters left: 5 (67 enodes) 113.980 * * [simplify]: iters left: 4 (99 enodes) 114.008 * * [simplify]: iters left: 3 (137 enodes) 114.051 * * [simplify]: iters left: 2 (226 enodes) 114.103 * * [simplify]: iters left: 1 (383 enodes) 114.258 * * [simplify]: Extracting #0: cost 1 inf + 0 114.258 * * [simplify]: Extracting #1: cost 6 inf + 0 114.258 * * [simplify]: Extracting #2: cost 33 inf + 1 114.259 * * [simplify]: Extracting #3: cost 112 inf + 2 114.260 * * [simplify]: Extracting #4: cost 146 inf + 177 114.262 * * [simplify]: Extracting #5: cost 146 inf + 434 114.268 * * [simplify]: Extracting #6: cost 123 inf + 1967 114.277 * * [simplify]: Extracting #7: cost 41 inf + 30301 114.297 * * [simplify]: Extracting #8: cost 4 inf + 56970 114.317 * * [simplify]: Extracting #9: cost 0 inf + 59576 114.328 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 114.328 * [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))))))) 114.328 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.328 * * [simplify]: iters left: 6 (15 enodes) 114.333 * * [simplify]: iters left: 5 (62 enodes) 114.345 * * [simplify]: iters left: 4 (99 enodes) 114.376 * * [simplify]: iters left: 3 (146 enodes) 114.429 * * [simplify]: iters left: 2 (253 enodes) 114.503 * * [simplify]: iters left: 1 (407 enodes) 114.627 * * [simplify]: Extracting #0: cost 1 inf + 0 114.627 * * [simplify]: Extracting #1: cost 7 inf + 0 114.627 * * [simplify]: Extracting #2: cost 13 inf + 1 114.628 * * [simplify]: Extracting #3: cost 36 inf + 84 114.628 * * [simplify]: Extracting #4: cost 111 inf + 167 114.630 * * [simplify]: Extracting #5: cost 136 inf + 1543 114.636 * * [simplify]: Extracting #6: cost 76 inf + 15336 114.647 * * [simplify]: Extracting #7: cost 19 inf + 39887 114.663 * * [simplify]: Extracting #8: cost 1 inf + 56477 114.672 * * [simplify]: Extracting #9: cost 0 inf + 57357 114.681 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 114.681 * [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)))) 114.681 * * * * [progress]: [ 168 / 307 ] simplifiying candidate # 114.681 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 114.682 * * [simplify]: iters left: 5 (6 enodes) 114.685 * * [simplify]: iters left: 4 (22 enodes) 114.692 * * [simplify]: iters left: 3 (24 enodes) 114.696 * * [simplify]: Extracting #0: cost 1 inf + 0 114.696 * * [simplify]: Extracting #1: cost 0 inf + 1 114.697 * [simplify]: Simplified to 1 114.697 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 114.697 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 114.697 * * [simplify]: iters left: 6 (14 enodes) 114.705 * * [simplify]: iters left: 5 (59 enodes) 114.725 * * [simplify]: iters left: 4 (103 enodes) 114.762 * * [simplify]: iters left: 3 (165 enodes) 114.826 * * [simplify]: iters left: 2 (314 enodes) 114.973 * * [simplify]: Extracting #0: cost 1 inf + 0 114.974 * * [simplify]: Extracting #1: cost 56 inf + 0 114.975 * * [simplify]: Extracting #2: cost 152 inf + 1 114.976 * * [simplify]: Extracting #3: cost 195 inf + 86 114.978 * * [simplify]: Extracting #4: cost 187 inf + 1215 114.982 * * [simplify]: Extracting #5: cost 137 inf + 11621 114.996 * * [simplify]: Extracting #6: cost 48 inf + 64325 115.009 * * [simplify]: Extracting #7: cost 1 inf + 98423 115.023 * * [simplify]: Extracting #8: cost 0 inf + 98696 115.048 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 115.048 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 115.048 * * * * [progress]: [ 169 / 307 ] simplifiying candidate # 115.049 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 115.049 * * [simplify]: iters left: 6 (16 enodes) 115.061 * * [simplify]: iters left: 5 (70 enodes) 115.085 * * [simplify]: iters left: 4 (112 enodes) 115.125 * * [simplify]: iters left: 3 (177 enodes) 115.190 * * [simplify]: iters left: 2 (332 enodes) 115.300 * * [simplify]: Extracting #0: cost 1 inf + 0 115.300 * * [simplify]: Extracting #1: cost 18 inf + 0 115.301 * * [simplify]: Extracting #2: cost 90 inf + 2 115.302 * * [simplify]: Extracting #3: cost 140 inf + 177 115.303 * * [simplify]: Extracting #4: cost 140 inf + 433 115.305 * * [simplify]: Extracting #5: cost 94 inf + 5530 115.312 * * [simplify]: Extracting #6: cost 39 inf + 25030 115.325 * * [simplify]: Extracting #7: cost 4 inf + 48401 115.340 * * [simplify]: Extracting #8: cost 0 inf + 49690 115.360 * * [simplify]: Extracting #9: cost 0 inf + 49650 115.370 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 115.370 * [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)))))) 115.370 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 115.370 * * [simplify]: iters left: 6 (15 enodes) 115.375 * * [simplify]: iters left: 5 (65 enodes) 115.386 * * [simplify]: iters left: 4 (109 enodes) 115.405 * * [simplify]: iters left: 3 (183 enodes) 115.476 * * [simplify]: iters left: 2 (370 enodes) 115.628 * * [simplify]: Extracting #0: cost 1 inf + 0 115.628 * * [simplify]: Extracting #1: cost 42 inf + 0 115.628 * * [simplify]: Extracting #2: cost 132 inf + 1 115.629 * * [simplify]: Extracting #3: cost 186 inf + 127 115.630 * * [simplify]: Extracting #4: cost 179 inf + 2752 115.633 * * [simplify]: Extracting #5: cost 124 inf + 11902 115.642 * * [simplify]: Extracting #6: cost 25 inf + 73950 115.661 * * [simplify]: Extracting #7: cost 1 inf + 90027 115.686 * * [simplify]: Extracting #8: cost 0 inf + 90039 115.712 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 115.712 * [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)))) 115.712 * * * * [progress]: [ 170 / 307 ] simplifiying candidate # 115.713 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 115.713 * * [simplify]: iters left: 6 (13 enodes) 115.721 * * [simplify]: iters left: 5 (54 enodes) 115.741 * * [simplify]: iters left: 4 (90 enodes) 115.765 * * [simplify]: iters left: 3 (152 enodes) 115.800 * * [simplify]: iters left: 2 (297 enodes) 115.879 * * [simplify]: Extracting #0: cost 1 inf + 0 115.879 * * [simplify]: Extracting #1: cost 46 inf + 0 115.879 * * [simplify]: Extracting #2: cost 127 inf + 1 115.880 * * [simplify]: Extracting #3: cost 168 inf + 4 115.881 * * [simplify]: Extracting #4: cost 167 inf + 379 115.882 * * [simplify]: Extracting #5: cost 130 inf + 5609 115.889 * * [simplify]: Extracting #6: cost 70 inf + 28183 115.905 * * [simplify]: Extracting #7: cost 6 inf + 71892 115.916 * * [simplify]: Extracting #8: cost 0 inf + 76311 115.926 * * [simplify]: Extracting #9: cost 0 inf + 75889 115.936 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 115.936 * [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)))))) 115.937 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 115.937 * * [simplify]: iters left: 6 (13 enodes) 115.943 * * [simplify]: iters left: 5 (53 enodes) 115.964 * * [simplify]: iters left: 4 (89 enodes) 115.993 * * [simplify]: iters left: 3 (146 enodes) 116.053 * * [simplify]: iters left: 2 (298 enodes) 116.182 * * [simplify]: Extracting #0: cost 1 inf + 0 116.182 * * [simplify]: Extracting #1: cost 45 inf + 0 116.182 * * [simplify]: Extracting #2: cost 125 inf + 1 116.183 * * [simplify]: Extracting #3: cost 170 inf + 3 116.184 * * [simplify]: Extracting #4: cost 162 inf + 756 116.185 * * [simplify]: Extracting #5: cost 119 inf + 6798 116.190 * * [simplify]: Extracting #6: cost 55 inf + 41462 116.208 * * [simplify]: Extracting #7: cost 2 inf + 81304 116.227 * * [simplify]: Extracting #8: cost 0 inf + 81157 116.238 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 116.238 * [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))))) 116.239 * * * * [progress]: [ 171 / 307 ] simplifiying candidate # 116.239 * [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)))))) 116.239 * * [simplify]: iters left: 6 (18 enodes) 116.244 * * [simplify]: iters left: 5 (75 enodes) 116.260 * * [simplify]: iters left: 4 (113 enodes) 116.300 * * [simplify]: iters left: 3 (170 enodes) 116.334 * * [simplify]: iters left: 2 (279 enodes) 116.436 * * [simplify]: iters left: 1 (451 enodes) 116.554 * * [simplify]: Extracting #0: cost 1 inf + 0 116.555 * * [simplify]: Extracting #1: cost 10 inf + 0 116.555 * * [simplify]: Extracting #2: cost 18 inf + 1 116.555 * * [simplify]: Extracting #3: cost 44 inf + 1 116.556 * * [simplify]: Extracting #4: cost 111 inf + 247 116.557 * * [simplify]: Extracting #5: cost 157 inf + 913 116.562 * * [simplify]: Extracting #6: cost 90 inf + 12363 116.574 * * [simplify]: Extracting #7: cost 27 inf + 46066 116.602 * * [simplify]: Extracting #8: cost 0 inf + 67303 116.624 * * [simplify]: Extracting #9: cost 0 inf + 63743 116.647 * * [simplify]: Extracting #10: cost 0 inf + 62644 116.670 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 116.670 * [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))))))) 116.671 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 116.671 * * [simplify]: iters left: 6 (16 enodes) 116.680 * * [simplify]: iters left: 5 (65 enodes) 116.701 * * [simplify]: iters left: 4 (101 enodes) 116.733 * * [simplify]: iters left: 3 (145 enodes) 116.786 * * [simplify]: iters left: 2 (246 enodes) 116.848 * * [simplify]: iters left: 1 (408 enodes) 117.009 * * [simplify]: Extracting #0: cost 1 inf + 0 117.009 * * [simplify]: Extracting #1: cost 7 inf + 0 117.009 * * [simplify]: Extracting #2: cost 12 inf + 1 117.009 * * [simplify]: Extracting #3: cost 37 inf + 1 117.010 * * [simplify]: Extracting #4: cost 101 inf + 247 117.011 * * [simplify]: Extracting #5: cost 133 inf + 2073 117.016 * * [simplify]: Extracting #6: cost 60 inf + 23445 117.024 * * [simplify]: Extracting #7: cost 7 inf + 56038 117.034 * * [simplify]: Extracting #8: cost 0 inf + 60758 117.043 * * [simplify]: Extracting #9: cost 0 inf + 59995 117.060 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 117.060 * [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))))) 117.061 * * * * [progress]: [ 172 / 307 ] simplifiying candidate # 117.061 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.061 * * [simplify]: iters left: 6 (17 enodes) 117.071 * * [simplify]: iters left: 5 (70 enodes) 117.087 * * [simplify]: iters left: 4 (107 enodes) 117.108 * * [simplify]: iters left: 3 (156 enodes) 117.160 * * [simplify]: iters left: 2 (251 enodes) 117.224 * * [simplify]: iters left: 1 (408 enodes) 117.388 * * [simplify]: Extracting #0: cost 1 inf + 0 117.388 * * [simplify]: Extracting #1: cost 7 inf + 0 117.388 * * [simplify]: Extracting #2: cost 13 inf + 1 117.388 * * [simplify]: Extracting #3: cost 39 inf + 1 117.389 * * [simplify]: Extracting #4: cost 113 inf + 166 117.391 * * [simplify]: Extracting #5: cost 146 inf + 667 117.393 * * [simplify]: Extracting #6: cost 105 inf + 4939 117.400 * * [simplify]: Extracting #7: cost 50 inf + 17968 117.416 * * [simplify]: Extracting #8: cost 8 inf + 50843 117.438 * * [simplify]: Extracting #9: cost 0 inf + 57618 117.458 * * [simplify]: Extracting #10: cost 0 inf + 56873 117.477 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 117.477 * [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))))))) 117.478 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.478 * * [simplify]: iters left: 6 (16 enodes) 117.488 * * [simplify]: iters left: 5 (65 enodes) 117.509 * * [simplify]: iters left: 4 (102 enodes) 117.540 * * [simplify]: iters left: 3 (146 enodes) 117.593 * * [simplify]: iters left: 2 (248 enodes) 117.664 * * [simplify]: iters left: 1 (404 enodes) 117.783 * * [simplify]: Extracting #0: cost 1 inf + 0 117.783 * * [simplify]: Extracting #1: cost 7 inf + 0 117.784 * * [simplify]: Extracting #2: cost 13 inf + 1 117.784 * * [simplify]: Extracting #3: cost 46 inf + 1 117.785 * * [simplify]: Extracting #4: cost 120 inf + 166 117.790 * * [simplify]: Extracting #5: cost 141 inf + 1162 117.794 * * [simplify]: Extracting #6: cost 90 inf + 9620 117.807 * * [simplify]: Extracting #7: cost 20 inf + 46689 117.827 * * [simplify]: Extracting #8: cost 0 inf + 63232 117.846 * * [simplify]: Extracting #9: cost 0 inf + 63154 117.862 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 117.862 * [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))))) 117.862 * * * * [progress]: [ 173 / 307 ] simplifiying candidate # 117.863 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 117.863 * * [simplify]: iters left: 6 (8 enodes) 117.865 * * [simplify]: iters left: 5 (28 enodes) 117.870 * * [simplify]: iters left: 4 (30 enodes) 117.874 * * [simplify]: Extracting #0: cost 1 inf + 0 117.874 * * [simplify]: Extracting #1: cost 4 inf + 0 117.874 * * [simplify]: Extracting #2: cost 5 inf + 1 117.874 * * [simplify]: Extracting #3: cost 7 inf + 1 117.874 * * [simplify]: Extracting #4: cost 3 inf + 165 117.874 * * [simplify]: Extracting #5: cost 0 inf + 490 117.874 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 117.874 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 117.874 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 117.875 * * [simplify]: iters left: 6 (15 enodes) 117.880 * * [simplify]: iters left: 5 (62 enodes) 117.896 * * [simplify]: iters left: 4 (102 enodes) 117.933 * * [simplify]: iters left: 3 (166 enodes) 117.981 * * [simplify]: iters left: 2 (338 enodes) 118.116 * * [simplify]: Extracting #0: cost 1 inf + 0 118.116 * * [simplify]: Extracting #1: cost 57 inf + 0 118.117 * * [simplify]: Extracting #2: cost 141 inf + 1 118.117 * * [simplify]: Extracting #3: cost 188 inf + 3 118.119 * * [simplify]: Extracting #4: cost 165 inf + 4027 118.121 * * [simplify]: Extracting #5: cost 124 inf + 13636 118.139 * * [simplify]: Extracting #6: cost 26 inf + 74868 118.164 * * [simplify]: Extracting #7: cost 1 inf + 92982 118.191 * * [simplify]: Extracting #8: cost 0 inf + 93558 118.215 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 118.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 118.216 * * * * [progress]: [ 174 / 307 ] simplifiying candidate # 118.216 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 118.216 * * [simplify]: iters left: 6 (17 enodes) 118.221 * * [simplify]: iters left: 5 (73 enodes) 118.235 * * [simplify]: iters left: 4 (117 enodes) 118.272 * * [simplify]: iters left: 3 (193 enodes) 118.346 * * [simplify]: iters left: 2 (370 enodes) 118.473 * * [simplify]: Extracting #0: cost 1 inf + 0 118.473 * * [simplify]: Extracting #1: cost 50 inf + 0 118.474 * * [simplify]: Extracting #2: cost 139 inf + 1 118.474 * * [simplify]: Extracting #3: cost 199 inf + 3 118.475 * * [simplify]: Extracting #4: cost 188 inf + 3945 118.479 * * [simplify]: Extracting #5: cost 121 inf + 20967 118.491 * * [simplify]: Extracting #6: cost 25 inf + 83209 118.515 * * [simplify]: Extracting #7: cost 0 inf + 102013 118.531 * * [simplify]: Extracting #8: cost 0 inf + 101519 118.552 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 118.552 * [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)))))) 118.552 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 118.552 * * [simplify]: iters left: 6 (16 enodes) 118.562 * * [simplify]: iters left: 5 (68 enodes) 118.588 * * [simplify]: iters left: 4 (115 enodes) 118.627 * * [simplify]: iters left: 3 (196 enodes) 118.685 * * [simplify]: iters left: 2 (402 enodes) 118.861 * * [simplify]: Extracting #0: cost 1 inf + 0 118.861 * * [simplify]: Extracting #1: cost 47 inf + 0 118.862 * * [simplify]: Extracting #2: cost 129 inf + 1 118.863 * * [simplify]: Extracting #3: cost 189 inf + 3 118.863 * * [simplify]: Extracting #4: cost 183 inf + 1338 118.866 * * [simplify]: Extracting #5: cost 129 inf + 14559 118.875 * * [simplify]: Extracting #6: cost 26 inf + 70835 118.896 * * [simplify]: Extracting #7: cost 0 inf + 89548 118.909 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 118.910 * [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))))) 118.910 * * * * [progress]: [ 175 / 307 ] simplifiying candidate # 118.910 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 118.910 * * [simplify]: iters left: 6 (11 enodes) 118.914 * * [simplify]: iters left: 5 (48 enodes) 118.923 * * [simplify]: iters left: 4 (75 enodes) 118.946 * * [simplify]: iters left: 3 (120 enodes) 118.991 * * [simplify]: iters left: 2 (238 enodes) 119.054 * * [simplify]: iters left: 1 (476 enodes) 119.293 * * [simplify]: Extracting #0: cost 1 inf + 0 119.293 * * [simplify]: Extracting #1: cost 38 inf + 0 119.294 * * [simplify]: Extracting #2: cost 149 inf + 3 119.296 * * [simplify]: Extracting #3: cost 214 inf + 8 119.298 * * [simplify]: Extracting #4: cost 209 inf + 348 119.302 * * [simplify]: Extracting #5: cost 147 inf + 8631 119.314 * * [simplify]: Extracting #6: cost 49 inf + 64269 119.329 * * [simplify]: Extracting #7: cost 0 inf + 101004 119.352 * * [simplify]: Extracting #8: cost 0 inf + 97688 119.369 * * [simplify]: Extracting #9: cost 0 inf + 97295 119.393 * [simplify]: Simplified to (pow n (* 1/2 (- 1 k))) 119.394 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 119.394 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 119.394 * * [simplify]: iters left: 6 (12 enodes) 119.399 * * [simplify]: iters left: 5 (50 enodes) 119.407 * * [simplify]: iters left: 4 (86 enodes) 119.425 * * [simplify]: iters left: 3 (147 enodes) 119.462 * * [simplify]: iters left: 2 (300 enodes) 119.600 * * [simplify]: Extracting #0: cost 1 inf + 0 119.600 * * [simplify]: Extracting #1: cost 41 inf + 0 119.600 * * [simplify]: Extracting #2: cost 125 inf + 1 119.601 * * [simplify]: Extracting #3: cost 163 inf + 127 119.602 * * [simplify]: Extracting #4: cost 162 inf + 425 119.603 * * [simplify]: Extracting #5: cost 132 inf + 3989 119.610 * * [simplify]: Extracting #6: cost 68 inf + 31169 119.628 * * [simplify]: Extracting #7: cost 6 inf + 73091 119.641 * * [simplify]: Extracting #8: cost 0 inf + 74351 119.652 * * [simplify]: Extracting #9: cost 0 inf + 74220 119.662 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 119.662 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (* 1/2 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 119.662 * * * * [progress]: [ 176 / 307 ] simplifiying candidate # 119.662 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 119.663 * * [simplify]: iters left: 6 (16 enodes) 119.673 * * [simplify]: iters left: 5 (69 enodes) 119.696 * * [simplify]: iters left: 4 (102 enodes) 119.728 * * [simplify]: iters left: 3 (141 enodes) 119.757 * * [simplify]: iters left: 2 (232 enodes) 119.817 * * [simplify]: iters left: 1 (395 enodes) 119.978 * * [simplify]: Extracting #0: cost 1 inf + 0 119.978 * * [simplify]: Extracting #1: cost 7 inf + 0 119.978 * * [simplify]: Extracting #2: cost 10 inf + 1 119.978 * * [simplify]: Extracting #3: cost 31 inf + 1 119.979 * * [simplify]: Extracting #4: cost 100 inf + 2 119.980 * * [simplify]: Extracting #5: cost 148 inf + 176 119.982 * * [simplify]: Extracting #6: cost 117 inf + 3202 119.985 * * [simplify]: Extracting #7: cost 57 inf + 16721 119.993 * * [simplify]: Extracting #8: cost 12 inf + 48679 120.003 * * [simplify]: Extracting #9: cost 0 inf + 58293 120.015 * * [simplify]: Extracting #10: cost 0 inf + 57817 120.036 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 120.036 * [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))))))) 120.037 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.037 * * [simplify]: iters left: 6 (15 enodes) 120.047 * * [simplify]: iters left: 5 (62 enodes) 120.071 * * [simplify]: iters left: 4 (98 enodes) 120.102 * * [simplify]: iters left: 3 (142 enodes) 120.153 * * [simplify]: iters left: 2 (243 enodes) 120.226 * * [simplify]: iters left: 1 (397 enodes) 120.376 * * [simplify]: Extracting #0: cost 1 inf + 0 120.376 * * [simplify]: Extracting #1: cost 7 inf + 0 120.376 * * [simplify]: Extracting #2: cost 12 inf + 1 120.377 * * [simplify]: Extracting #3: cost 32 inf + 166 120.377 * * [simplify]: Extracting #4: cost 99 inf + 249 120.379 * * [simplify]: Extracting #5: cost 136 inf + 963 120.383 * * [simplify]: Extracting #6: cost 84 inf + 11802 120.392 * * [simplify]: Extracting #7: cost 39 inf + 29194 120.409 * * [simplify]: Extracting #8: cost 3 inf + 58605 120.428 * * [simplify]: Extracting #9: cost 0 inf + 60363 120.449 * * [simplify]: Extracting #10: cost 0 inf + 60114 120.467 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 120.467 * [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)))) 120.468 * * * * [progress]: [ 177 / 307 ] simplifiying candidate # 120.468 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.468 * * [simplify]: iters left: 6 (15 enodes) 120.477 * * [simplify]: iters left: 5 (64 enodes) 120.499 * * [simplify]: iters left: 4 (96 enodes) 120.528 * * [simplify]: iters left: 3 (137 enodes) 120.572 * * [simplify]: iters left: 2 (231 enodes) 120.627 * * [simplify]: iters left: 1 (396 enodes) 120.788 * * [simplify]: Extracting #0: cost 1 inf + 0 120.789 * * [simplify]: Extracting #1: cost 6 inf + 0 120.789 * * [simplify]: Extracting #2: cost 31 inf + 1 120.789 * * [simplify]: Extracting #3: cost 113 inf + 2 120.791 * * [simplify]: Extracting #4: cost 153 inf + 178 120.792 * * [simplify]: Extracting #5: cost 152 inf + 393 120.799 * * [simplify]: Extracting #6: cost 126 inf + 2424 120.801 * * [simplify]: Extracting #7: cost 70 inf + 10561 120.806 * * [simplify]: Extracting #8: cost 39 inf + 28004 120.815 * * [simplify]: Extracting #9: cost 3 inf + 57389 120.825 * * [simplify]: Extracting #10: cost 0 inf + 60391 120.837 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 120.837 * [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))))))) 120.838 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.838 * * [simplify]: iters left: 6 (15 enodes) 120.847 * * [simplify]: iters left: 5 (62 enodes) 120.858 * * [simplify]: iters left: 4 (99 enodes) 120.881 * * [simplify]: iters left: 3 (146 enodes) 120.916 * * [simplify]: iters left: 2 (253 enodes) 120.973 * * [simplify]: iters left: 1 (407 enodes) 121.098 * * [simplify]: Extracting #0: cost 1 inf + 0 121.098 * * [simplify]: Extracting #1: cost 7 inf + 0 121.098 * * [simplify]: Extracting #2: cost 13 inf + 1 121.098 * * [simplify]: Extracting #3: cost 36 inf + 84 121.099 * * [simplify]: Extracting #4: cost 111 inf + 167 121.101 * * [simplify]: Extracting #5: cost 136 inf + 1543 121.106 * * [simplify]: Extracting #6: cost 76 inf + 15336 121.118 * * [simplify]: Extracting #7: cost 19 inf + 39887 121.135 * * [simplify]: Extracting #8: cost 1 inf + 56477 121.153 * * [simplify]: Extracting #9: cost 0 inf + 57357 121.171 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 121.171 * [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)))) 121.172 * * * * [progress]: [ 178 / 307 ] simplifiying candidate # 121.172 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 121.172 * * [simplify]: iters left: 5 (5 enodes) 121.179 * * [simplify]: iters left: 4 (17 enodes) 121.184 * * [simplify]: iters left: 3 (19 enodes) 121.187 * * [simplify]: Extracting #0: cost 1 inf + 0 121.187 * * [simplify]: Extracting #1: cost 0 inf + 1 121.187 * [simplify]: Simplified to 1 121.188 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 121.188 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 121.188 * * [simplify]: iters left: 6 (14 enodes) 121.193 * * [simplify]: iters left: 5 (59 enodes) 121.204 * * [simplify]: iters left: 4 (103 enodes) 121.225 * * [simplify]: iters left: 3 (165 enodes) 121.274 * * [simplify]: iters left: 2 (314 enodes) 121.395 * * [simplify]: Extracting #0: cost 1 inf + 0 121.395 * * [simplify]: Extracting #1: cost 56 inf + 0 121.396 * * [simplify]: Extracting #2: cost 152 inf + 1 121.396 * * [simplify]: Extracting #3: cost 195 inf + 86 121.397 * * [simplify]: Extracting #4: cost 187 inf + 1215 121.399 * * [simplify]: Extracting #5: cost 137 inf + 11621 121.412 * * [simplify]: Extracting #6: cost 48 inf + 64325 121.439 * * [simplify]: Extracting #7: cost 1 inf + 98423 121.467 * * [simplify]: Extracting #8: cost 0 inf + 98696 121.482 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 121.482 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 121.483 * * * * [progress]: [ 179 / 307 ] simplifiying candidate # 121.483 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 121.483 * * [simplify]: iters left: 6 (15 enodes) 121.488 * * [simplify]: iters left: 5 (67 enodes) 121.506 * * [simplify]: iters left: 4 (104 enodes) 121.532 * * [simplify]: iters left: 3 (160 enodes) 121.571 * * [simplify]: iters left: 2 (289 enodes) 121.664 * * [simplify]: Extracting #0: cost 1 inf + 0 121.665 * * [simplify]: Extracting #1: cost 21 inf + 0 121.665 * * [simplify]: Extracting #2: cost 94 inf + 2 121.665 * * [simplify]: Extracting #3: cost 142 inf + 259 121.666 * * [simplify]: Extracting #4: cost 142 inf + 475 121.667 * * [simplify]: Extracting #5: cost 91 inf + 7023 121.672 * * [simplify]: Extracting #6: cost 32 inf + 30224 121.679 * * [simplify]: Extracting #7: cost 0 inf + 51260 121.687 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 121.687 * [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)))))) 121.687 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 121.687 * * [simplify]: iters left: 6 (15 enodes) 121.694 * * [simplify]: iters left: 5 (65 enodes) 121.715 * * [simplify]: iters left: 4 (109 enodes) 121.755 * * [simplify]: iters left: 3 (183 enodes) 121.798 * * [simplify]: iters left: 2 (370 enodes) 121.949 * * [simplify]: Extracting #0: cost 1 inf + 0 121.950 * * [simplify]: Extracting #1: cost 42 inf + 0 121.950 * * [simplify]: Extracting #2: cost 132 inf + 1 121.951 * * [simplify]: Extracting #3: cost 186 inf + 127 121.952 * * [simplify]: Extracting #4: cost 179 inf + 2752 121.954 * * [simplify]: Extracting #5: cost 124 inf + 11902 121.963 * * [simplify]: Extracting #6: cost 25 inf + 73950 121.981 * * [simplify]: Extracting #7: cost 1 inf + 90027 122.002 * * [simplify]: Extracting #8: cost 0 inf + 90039 122.016 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 122.016 * [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)))) 122.016 * * * * [progress]: [ 180 / 307 ] simplifiying candidate # 122.016 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 122.016 * * [simplify]: iters left: 5 (4 enodes) 122.021 * * [simplify]: iters left: 4 (14 enodes) 122.023 * * [simplify]: iters left: 3 (16 enodes) 122.028 * * [simplify]: Extracting #0: cost 1 inf + 0 122.028 * * [simplify]: Extracting #1: cost 0 inf + 1 122.028 * [simplify]: Simplified to 1 122.028 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.028 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.028 * * [simplify]: iters left: 6 (14 enodes) 122.032 * * [simplify]: iters left: 5 (59 enodes) 122.043 * * [simplify]: iters left: 4 (103 enodes) 122.060 * * [simplify]: iters left: 3 (165 enodes) 122.107 * * [simplify]: iters left: 2 (314 enodes) 122.227 * * [simplify]: Extracting #0: cost 1 inf + 0 122.227 * * [simplify]: Extracting #1: cost 56 inf + 0 122.228 * * [simplify]: Extracting #2: cost 152 inf + 1 122.229 * * [simplify]: Extracting #3: cost 195 inf + 86 122.231 * * [simplify]: Extracting #4: cost 187 inf + 1215 122.235 * * [simplify]: Extracting #5: cost 137 inf + 11621 122.246 * * [simplify]: Extracting #6: cost 48 inf + 64325 122.259 * * [simplify]: Extracting #7: cost 1 inf + 98423 122.276 * * [simplify]: Extracting #8: cost 0 inf + 98696 122.303 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 122.303 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 122.304 * * * * [progress]: [ 181 / 307 ] simplifiying candidate # 122.304 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 122.304 * * [simplify]: iters left: 5 (6 enodes) 122.308 * * [simplify]: iters left: 4 (22 enodes) 122.319 * * [simplify]: iters left: 3 (24 enodes) 122.326 * * [simplify]: Extracting #0: cost 1 inf + 0 122.326 * * [simplify]: Extracting #1: cost 4 inf + 0 122.326 * * [simplify]: Extracting #2: cost 5 inf + 1 122.326 * * [simplify]: Extracting #3: cost 2 inf + 125 122.326 * * [simplify]: Extracting #4: cost 0 inf + 248 122.326 * [simplify]: Simplified to (/ 1 (sqrt k)) 122.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.327 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.327 * * [simplify]: iters left: 6 (13 enodes) 122.335 * * [simplify]: iters left: 5 (56 enodes) 122.354 * * [simplify]: iters left: 4 (91 enodes) 122.378 * * [simplify]: iters left: 3 (132 enodes) 122.400 * * [simplify]: iters left: 2 (220 enodes) 122.462 * * [simplify]: iters left: 1 (428 enodes) 122.695 * * [simplify]: Extracting #0: cost 1 inf + 0 122.695 * * [simplify]: Extracting #1: cost 48 inf + 0 122.697 * * [simplify]: Extracting #2: cost 182 inf + 2 122.699 * * [simplify]: Extracting #3: cost 237 inf + 218 122.701 * * [simplify]: Extracting #4: cost 216 inf + 2342 122.714 * * [simplify]: Extracting #5: cost 103 inf + 49334 122.739 * * [simplify]: Extracting #6: cost 8 inf + 121415 122.776 * * [simplify]: Extracting #7: cost 0 inf + 121630 122.813 * * [simplify]: Extracting #8: cost 0 inf + 119162 122.850 * * [simplify]: Extracting #9: cost 0 inf + 119031 122.907 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 122.907 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.907 * * * * [progress]: [ 182 / 307 ] simplifiying candidate # 122.908 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 122.908 * * [simplify]: iters left: 6 (14 enodes) 122.917 * * [simplify]: iters left: 5 (57 enodes) 122.939 * * [simplify]: iters left: 4 (96 enodes) 122.978 * * [simplify]: iters left: 3 (168 enodes) 123.014 * * [simplify]: iters left: 2 (303 enodes) 123.121 * * [simplify]: Extracting #0: cost 1 inf + 0 123.121 * * [simplify]: Extracting #1: cost 36 inf + 0 123.122 * * [simplify]: Extracting #2: cost 105 inf + 1 123.122 * * [simplify]: Extracting #3: cost 112 inf + 132 123.123 * * [simplify]: Extracting #4: cost 106 inf + 385 123.125 * * [simplify]: Extracting #5: cost 55 inf + 21697 123.131 * * [simplify]: Extracting #6: cost 4 inf + 53549 123.138 * * [simplify]: Extracting #7: cost 0 inf + 55851 123.146 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 123.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 123.146 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 123.146 * * [simplify]: iters left: 6 (11 enodes) 123.150 * * [simplify]: iters left: 5 (42 enodes) 123.167 * * [simplify]: iters left: 4 (66 enodes) 123.186 * * [simplify]: iters left: 3 (101 enodes) 123.203 * * [simplify]: iters left: 2 (171 enodes) 123.261 * * [simplify]: iters left: 1 (319 enodes) 123.398 * * [simplify]: Extracting #0: cost 1 inf + 0 123.398 * * [simplify]: Extracting #1: cost 6 inf + 0 123.398 * * [simplify]: Extracting #2: cost 38 inf + 1 123.399 * * [simplify]: Extracting #3: cost 127 inf + 2 123.399 * * [simplify]: Extracting #4: cost 156 inf + 177 123.402 * * [simplify]: Extracting #5: cost 89 inf + 15817 123.411 * * [simplify]: Extracting #6: cost 12 inf + 49508 123.432 * * [simplify]: Extracting #7: cost 0 inf + 56041 123.458 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 123.458 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 123.459 * * * * [progress]: [ 183 / 307 ] simplifiying candidate # 123.459 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 123.459 * * [simplify]: iters left: 6 (16 enodes) 123.469 * * [simplify]: iters left: 5 (65 enodes) 123.490 * * [simplify]: iters left: 4 (101 enodes) 123.525 * * [simplify]: iters left: 3 (145 enodes) 123.557 * * [simplify]: iters left: 2 (237 enodes) 123.610 * * [simplify]: iters left: 1 (405 enodes) 123.779 * * [simplify]: Extracting #0: cost 1 inf + 0 123.779 * * [simplify]: Extracting #1: cost 7 inf + 0 123.779 * * [simplify]: Extracting #2: cost 11 inf + 1 123.779 * * [simplify]: Extracting #3: cost 16 inf + 1 123.779 * * [simplify]: Extracting #4: cost 47 inf + 1 123.780 * * [simplify]: Extracting #5: cost 129 inf + 85 123.781 * * [simplify]: Extracting #6: cost 159 inf + 1545 123.788 * * [simplify]: Extracting #7: cost 95 inf + 20225 123.806 * * [simplify]: Extracting #8: cost 12 inf + 67734 123.828 * * [simplify]: Extracting #9: cost 0 inf + 76512 123.848 * * [simplify]: Extracting #10: cost 0 inf + 75884 123.862 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 123.863 * [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))))))) 123.863 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 123.863 * * [simplify]: iters left: 6 (15 enodes) 123.868 * * [simplify]: iters left: 5 (60 enodes) 123.880 * * [simplify]: iters left: 4 (91 enodes) 123.909 * * [simplify]: iters left: 3 (133 enodes) 123.954 * * [simplify]: iters left: 2 (225 enodes) 124.035 * * [simplify]: iters left: 1 (396 enodes) 124.199 * * [simplify]: Extracting #0: cost 1 inf + 0 124.199 * * [simplify]: Extracting #1: cost 4 inf + 0 124.199 * * [simplify]: Extracting #2: cost 5 inf + 1 124.199 * * [simplify]: Extracting #3: cost 10 inf + 1 124.199 * * [simplify]: Extracting #4: cost 43 inf + 1 124.200 * * [simplify]: Extracting #5: cost 124 inf + 85 124.201 * * [simplify]: Extracting #6: cost 173 inf + 632 124.206 * * [simplify]: Extracting #7: cost 110 inf + 14333 124.229 * * [simplify]: Extracting #8: cost 21 inf + 55453 124.256 * * [simplify]: Extracting #9: cost 0 inf + 69192 124.282 * * [simplify]: Extracting #10: cost 0 inf + 68268 124.307 * * [simplify]: Extracting #11: cost 0 inf + 68227 124.320 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 124.321 * [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))))))) 124.321 * * * * [progress]: [ 184 / 307 ] simplifiying candidate # 124.321 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.321 * * [simplify]: iters left: 6 (15 enodes) 124.325 * * [simplify]: iters left: 5 (60 enodes) 124.336 * * [simplify]: iters left: 4 (91 enodes) 124.367 * * [simplify]: iters left: 3 (133 enodes) 124.414 * * [simplify]: iters left: 2 (225 enodes) 124.494 * * [simplify]: iters left: 1 (396 enodes) 124.691 * * [simplify]: Extracting #0: cost 1 inf + 0 124.691 * * [simplify]: Extracting #1: cost 4 inf + 0 124.692 * * [simplify]: Extracting #2: cost 5 inf + 1 124.692 * * [simplify]: Extracting #3: cost 10 inf + 1 124.692 * * [simplify]: Extracting #4: cost 43 inf + 1 124.693 * * [simplify]: Extracting #5: cost 124 inf + 85 124.694 * * [simplify]: Extracting #6: cost 173 inf + 632 124.699 * * [simplify]: Extracting #7: cost 110 inf + 14333 124.719 * * [simplify]: Extracting #8: cost 21 inf + 55333 124.746 * * [simplify]: Extracting #9: cost 0 inf + 69032 124.773 * * [simplify]: Extracting #10: cost 0 inf + 68108 124.804 * * [simplify]: Extracting #11: cost 0 inf + 68067 124.832 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 124.832 * [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))))))) 124.832 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.832 * * [simplify]: iters left: 6 (15 enodes) 124.841 * * [simplify]: iters left: 5 (60 enodes) 124.861 * * [simplify]: iters left: 4 (91 enodes) 124.880 * * [simplify]: iters left: 3 (133 enodes) 124.910 * * [simplify]: iters left: 2 (225 enodes) 124.976 * * [simplify]: iters left: 1 (396 enodes) 125.127 * * [simplify]: Extracting #0: cost 1 inf + 0 125.127 * * [simplify]: Extracting #1: cost 4 inf + 0 125.127 * * [simplify]: Extracting #2: cost 5 inf + 1 125.127 * * [simplify]: Extracting #3: cost 10 inf + 1 125.127 * * [simplify]: Extracting #4: cost 43 inf + 1 125.128 * * [simplify]: Extracting #5: cost 124 inf + 85 125.135 * * [simplify]: Extracting #6: cost 173 inf + 632 125.139 * * [simplify]: Extracting #7: cost 110 inf + 14333 125.152 * * [simplify]: Extracting #8: cost 21 inf + 55333 125.166 * * [simplify]: Extracting #9: cost 0 inf + 69032 125.189 * * [simplify]: Extracting #10: cost 0 inf + 68108 125.216 * * [simplify]: Extracting #11: cost 0 inf + 68067 125.242 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 125.242 * [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))))))) 125.242 * * * * [progress]: [ 185 / 307 ] simplifiying candidate # 125.243 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 125.243 * * [simplify]: iters left: 6 (13 enodes) 125.250 * * [simplify]: iters left: 5 (54 enodes) 125.270 * * [simplify]: iters left: 4 (101 enodes) 125.308 * * [simplify]: iters left: 3 (199 enodes) 125.406 * * [simplify]: iters left: 2 (484 enodes) 125.752 * * [simplify]: Extracting #0: cost 1 inf + 0 125.753 * * [simplify]: Extracting #1: cost 105 inf + 0 125.754 * * [simplify]: Extracting #2: cost 298 inf + 1 125.755 * * [simplify]: Extracting #3: cost 354 inf + 4 125.757 * * [simplify]: Extracting #4: cost 345 inf + 1593 125.759 * * [simplify]: Extracting #5: cost 302 inf + 8880 125.765 * * [simplify]: Extracting #6: cost 210 inf + 51407 125.791 * * [simplify]: Extracting #7: cost 39 inf + 171477 125.841 * * [simplify]: Extracting #8: cost 0 inf + 200528 125.877 * * [simplify]: Extracting #9: cost 0 inf + 200357 125.931 * [simplify]: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 125.931 * [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)))))) 125.932 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 125.932 * * [simplify]: iters left: 6 (13 enodes) 125.940 * * [simplify]: iters left: 5 (53 enodes) 125.958 * * [simplify]: iters left: 4 (89 enodes) 125.987 * * [simplify]: iters left: 3 (146 enodes) 126.041 * * [simplify]: iters left: 2 (298 enodes) 126.182 * * [simplify]: Extracting #0: cost 1 inf + 0 126.182 * * [simplify]: Extracting #1: cost 45 inf + 0 126.182 * * [simplify]: Extracting #2: cost 125 inf + 1 126.183 * * [simplify]: Extracting #3: cost 170 inf + 3 126.184 * * [simplify]: Extracting #4: cost 162 inf + 836 126.185 * * [simplify]: Extracting #5: cost 119 inf + 7078 126.190 * * [simplify]: Extracting #6: cost 55 inf + 42982 126.201 * * [simplify]: Extracting #7: cost 2 inf + 84384 126.227 * * [simplify]: Extracting #8: cost 0 inf + 84317 126.250 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 126.250 * [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))))) 126.250 * * * * [progress]: [ 186 / 307 ] simplifiying candidate # 126.251 * [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)))))) 126.251 * * [simplify]: iters left: 6 (18 enodes) 126.262 * * [simplify]: iters left: 5 (77 enodes) 126.288 * * [simplify]: iters left: 4 (138 enodes) 126.328 * * [simplify]: iters left: 3 (226 enodes) 126.377 * * [simplify]: iters left: 2 (400 enodes) 126.496 * * [simplify]: Extracting #0: cost 1 inf + 0 126.496 * * [simplify]: Extracting #1: cost 22 inf + 0 126.497 * * [simplify]: Extracting #2: cost 39 inf + 1 126.497 * * [simplify]: Extracting #3: cost 54 inf + 1 126.498 * * [simplify]: Extracting #4: cost 88 inf + 1215 126.499 * * [simplify]: Extracting #5: cost 106 inf + 3459 126.509 * * [simplify]: Extracting #6: cost 47 inf + 19084 126.521 * * [simplify]: Extracting #7: cost 12 inf + 32367 126.536 * * [simplify]: Extracting #8: cost 0 inf + 40510 126.549 * * [simplify]: Extracting #9: cost 0 inf + 39977 126.564 * * [simplify]: Extracting #10: cost 0 inf + 39585 126.578 * * [simplify]: Extracting #11: cost 0 inf + 39455 126.592 * [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)))) 126.592 * [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))))))) 126.593 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 126.593 * * [simplify]: iters left: 6 (16 enodes) 126.603 * * [simplify]: iters left: 5 (65 enodes) 126.623 * * [simplify]: iters left: 4 (101 enodes) 126.654 * * [simplify]: iters left: 3 (145 enodes) 126.707 * * [simplify]: iters left: 2 (246 enodes) 126.789 * * [simplify]: iters left: 1 (408 enodes) 126.936 * * [simplify]: Extracting #0: cost 1 inf + 0 126.936 * * [simplify]: Extracting #1: cost 7 inf + 0 126.936 * * [simplify]: Extracting #2: cost 12 inf + 1 126.937 * * [simplify]: Extracting #3: cost 37 inf + 1 126.937 * * [simplify]: Extracting #4: cost 101 inf + 327 126.938 * * [simplify]: Extracting #5: cost 133 inf + 2233 126.941 * * [simplify]: Extracting #6: cost 60 inf + 23765 126.953 * * [simplify]: Extracting #7: cost 7 inf + 56358 126.972 * * [simplify]: Extracting #8: cost 0 inf + 61078 126.991 * * [simplify]: Extracting #9: cost 0 inf + 60315 127.010 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 127.010 * [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))))) 127.010 * * * * [progress]: [ 187 / 307 ] simplifiying candidate # 127.011 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.011 * * [simplify]: iters left: 6 (17 enodes) 127.021 * * [simplify]: iters left: 5 (70 enodes) 127.050 * * [simplify]: iters left: 4 (115 enodes) 127.087 * * [simplify]: iters left: 3 (181 enodes) 127.127 * * [simplify]: iters left: 2 (314 enodes) 127.237 * * [simplify]: Extracting #0: cost 1 inf + 0 127.237 * * [simplify]: Extracting #1: cost 17 inf + 0 127.238 * * [simplify]: Extracting #2: cost 28 inf + 1 127.238 * * [simplify]: Extracting #3: cost 46 inf + 1 127.239 * * [simplify]: Extracting #4: cost 89 inf + 1337 127.240 * * [simplify]: Extracting #5: cost 97 inf + 3300 127.244 * * [simplify]: Extracting #6: cost 51 inf + 11073 127.253 * * [simplify]: Extracting #7: cost 8 inf + 27337 127.264 * * [simplify]: Extracting #8: cost 0 inf + 32918 127.276 * * [simplify]: Extracting #9: cost 0 inf + 32747 127.281 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 127.281 * [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))))))) 127.281 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.281 * * [simplify]: iters left: 6 (16 enodes) 127.287 * * [simplify]: iters left: 5 (65 enodes) 127.297 * * [simplify]: iters left: 4 (102 enodes) 127.314 * * [simplify]: iters left: 3 (146 enodes) 127.340 * * [simplify]: iters left: 2 (248 enodes) 127.393 * * [simplify]: iters left: 1 (404 enodes) 127.507 * * [simplify]: Extracting #0: cost 1 inf + 0 127.508 * * [simplify]: Extracting #1: cost 7 inf + 0 127.508 * * [simplify]: Extracting #2: cost 13 inf + 1 127.508 * * [simplify]: Extracting #3: cost 46 inf + 1 127.509 * * [simplify]: Extracting #4: cost 120 inf + 206 127.510 * * [simplify]: Extracting #5: cost 141 inf + 1322 127.514 * * [simplify]: Extracting #6: cost 90 inf + 9780 127.525 * * [simplify]: Extracting #7: cost 20 inf + 46969 127.538 * * [simplify]: Extracting #8: cost 0 inf + 63552 127.548 * * [simplify]: Extracting #9: cost 0 inf + 63474 127.562 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) 127.562 * [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))))) 127.562 * * * * [progress]: [ 188 / 307 ] simplifiying candidate # 127.562 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 127.563 * * [simplify]: iters left: 6 (8 enodes) 127.568 * * [simplify]: iters left: 5 (28 enodes) 127.578 * * [simplify]: iters left: 4 (52 enodes) 127.594 * * [simplify]: iters left: 3 (74 enodes) 127.616 * * [simplify]: iters left: 2 (77 enodes) 127.627 * * [simplify]: Extracting #0: cost 1 inf + 0 127.627 * * [simplify]: Extracting #1: cost 6 inf + 0 127.627 * * [simplify]: Extracting #2: cost 9 inf + 1 127.627 * * [simplify]: Extracting #3: cost 11 inf + 1 127.628 * * [simplify]: Extracting #4: cost 1 inf + 1214 127.628 * * [simplify]: Extracting #5: cost 0 inf + 1376 127.628 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 127.628 * [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)))))) 127.628 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 127.629 * * [simplify]: iters left: 6 (15 enodes) 127.634 * * [simplify]: iters left: 5 (62 enodes) 127.645 * * [simplify]: iters left: 4 (102 enodes) 127.670 * * [simplify]: iters left: 3 (166 enodes) 127.711 * * [simplify]: iters left: 2 (338 enodes) 127.847 * * [simplify]: Extracting #0: cost 1 inf + 0 127.847 * * [simplify]: Extracting #1: cost 57 inf + 0 127.848 * * [simplify]: Extracting #2: cost 141 inf + 1 127.848 * * [simplify]: Extracting #3: cost 188 inf + 3 127.849 * * [simplify]: Extracting #4: cost 165 inf + 4227 127.852 * * [simplify]: Extracting #5: cost 124 inf + 14196 127.861 * * [simplify]: Extracting #6: cost 26 inf + 77548 127.886 * * [simplify]: Extracting #7: cost 1 inf + 96382 127.911 * * [simplify]: Extracting #8: cost 0 inf + 96998 127.924 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 127.924 * [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))))) 127.924 * * * * [progress]: [ 189 / 307 ] simplifiying candidate # 127.925 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 127.925 * * [simplify]: iters left: 6 (17 enodes) 127.931 * * [simplify]: iters left: 5 (73 enodes) 127.947 * * [simplify]: iters left: 4 (128 enodes) 127.972 * * [simplify]: iters left: 3 (244 enodes) 128.048 * * [simplify]: Extracting #0: cost 1 inf + 0 128.048 * * [simplify]: Extracting #1: cost 42 inf + 0 128.048 * * [simplify]: Extracting #2: cost 115 inf + 1 128.049 * * [simplify]: Extracting #3: cost 155 inf + 2 128.049 * * [simplify]: Extracting #4: cost 151 inf + 1268 128.051 * * [simplify]: Extracting #5: cost 91 inf + 14403 128.057 * * [simplify]: Extracting #6: cost 34 inf + 40731 128.075 * * [simplify]: Extracting #7: cost 1 inf + 64975 128.094 * * [simplify]: Extracting #8: cost 0 inf + 66095 128.114 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 128.114 * [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)))))) 128.114 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.114 * * [simplify]: iters left: 6 (16 enodes) 128.124 * * [simplify]: iters left: 5 (68 enodes) 128.152 * * [simplify]: iters left: 4 (115 enodes) 128.192 * * [simplify]: iters left: 3 (196 enodes) 128.240 * * [simplify]: iters left: 2 (402 enodes) 128.392 * * [simplify]: Extracting #0: cost 1 inf + 0 128.392 * * [simplify]: Extracting #1: cost 47 inf + 0 128.392 * * [simplify]: Extracting #2: cost 129 inf + 1 128.393 * * [simplify]: Extracting #3: cost 189 inf + 3 128.394 * * [simplify]: Extracting #4: cost 183 inf + 1378 128.396 * * [simplify]: Extracting #5: cost 129 inf + 14919 128.406 * * [simplify]: Extracting #6: cost 26 inf + 73275 128.421 * * [simplify]: Extracting #7: cost 0 inf + 92628 128.449 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 128.449 * [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))))) 128.450 * * * * [progress]: [ 190 / 307 ] simplifiying candidate # 128.450 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 128.450 * * [simplify]: iters left: 6 (13 enodes) 128.455 * * [simplify]: iters left: 5 (53 enodes) 128.464 * * [simplify]: iters left: 4 (89 enodes) 128.488 * * [simplify]: iters left: 3 (146 enodes) 128.524 * * [simplify]: iters left: 2 (298 enodes) 128.662 * * [simplify]: Extracting #0: cost 1 inf + 0 128.662 * * [simplify]: Extracting #1: cost 45 inf + 0 128.663 * * [simplify]: Extracting #2: cost 128 inf + 1 128.664 * * [simplify]: Extracting #3: cost 173 inf + 4 128.665 * * [simplify]: Extracting #4: cost 166 inf + 1034 128.667 * * [simplify]: Extracting #5: cost 120 inf + 8370 128.673 * * [simplify]: Extracting #6: cost 41 inf + 53729 128.683 * * [simplify]: Extracting #7: cost 0 inf + 82109 128.693 * * [simplify]: Extracting #8: cost 0 inf + 80336 128.708 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 128.708 * [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)))))) 128.709 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 128.709 * * [simplify]: iters left: 6 (13 enodes) 128.717 * * [simplify]: iters left: 5 (53 enodes) 128.736 * * [simplify]: iters left: 4 (89 enodes) 128.756 * * [simplify]: iters left: 3 (146 enodes) 128.797 * * [simplify]: iters left: 2 (298 enodes) 128.927 * * [simplify]: Extracting #0: cost 1 inf + 0 128.927 * * [simplify]: Extracting #1: cost 45 inf + 0 128.931 * * [simplify]: Extracting #2: cost 125 inf + 1 128.933 * * [simplify]: Extracting #3: cost 170 inf + 3 128.934 * * [simplify]: Extracting #4: cost 162 inf + 876 128.936 * * [simplify]: Extracting #5: cost 119 inf + 7158 128.941 * * [simplify]: Extracting #6: cost 55 inf + 43062 128.952 * * [simplify]: Extracting #7: cost 2 inf + 84464 128.963 * * [simplify]: Extracting #8: cost 0 inf + 84397 128.975 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 128.975 * [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))))) 128.975 * * * * [progress]: [ 191 / 307 ] simplifiying candidate # 128.975 * [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)))))) 128.975 * * [simplify]: iters left: 6 (18 enodes) 128.981 * * [simplify]: iters left: 5 (74 enodes) 128.993 * * [simplify]: iters left: 4 (116 enodes) 129.024 * * [simplify]: iters left: 3 (175 enodes) 129.084 * * [simplify]: iters left: 2 (285 enodes) 129.190 * * [simplify]: iters left: 1 (472 enodes) 129.404 * * [simplify]: Extracting #0: cost 1 inf + 0 129.404 * * [simplify]: Extracting #1: cost 10 inf + 0 129.404 * * [simplify]: Extracting #2: cost 19 inf + 1 129.404 * * [simplify]: Extracting #3: cost 44 inf + 1 129.405 * * [simplify]: Extracting #4: cost 113 inf + 528 129.407 * * [simplify]: Extracting #5: cost 161 inf + 1065 129.411 * * [simplify]: Extracting #6: cost 106 inf + 11487 129.425 * * [simplify]: Extracting #7: cost 47 inf + 26723 129.434 * * [simplify]: Extracting #8: cost 28 inf + 39434 129.444 * * [simplify]: Extracting #9: cost 0 inf + 63723 129.454 * * [simplify]: Extracting #10: cost 0 inf + 63563 129.465 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 129.465 * [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))))))) 129.465 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 129.465 * * [simplify]: iters left: 6 (16 enodes) 129.470 * * [simplify]: iters left: 5 (65 enodes) 129.480 * * [simplify]: iters left: 4 (101 enodes) 129.498 * * [simplify]: iters left: 3 (145 enodes) 129.527 * * [simplify]: iters left: 2 (246 enodes) 129.599 * * [simplify]: iters left: 1 (408 enodes) 130.098 * * [simplify]: Extracting #0: cost 1 inf + 0 130.098 * * [simplify]: Extracting #1: cost 7 inf + 0 130.098 * * [simplify]: Extracting #2: cost 12 inf + 1 130.098 * * [simplify]: Extracting #3: cost 37 inf + 1 130.099 * * [simplify]: Extracting #4: cost 101 inf + 407 130.100 * * [simplify]: Extracting #5: cost 133 inf + 2313 130.104 * * [simplify]: Extracting #6: cost 60 inf + 23845 130.120 * * [simplify]: Extracting #7: cost 7 inf + 56438 130.139 * * [simplify]: Extracting #8: cost 0 inf + 61158 130.158 * * [simplify]: Extracting #9: cost 0 inf + 60395 130.168 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 130.168 * [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))))) 130.168 * * * * [progress]: [ 192 / 307 ] simplifiying candidate # 130.168 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.169 * * [simplify]: iters left: 6 (17 enodes) 130.174 * * [simplify]: iters left: 5 (69 enodes) 130.188 * * [simplify]: iters left: 4 (106 enodes) 130.215 * * [simplify]: iters left: 3 (154 enodes) 130.267 * * [simplify]: iters left: 2 (258 enodes) 130.347 * * [simplify]: iters left: 1 (417 enodes) 130.494 * * [simplify]: Extracting #0: cost 1 inf + 0 130.494 * * [simplify]: Extracting #1: cost 7 inf + 0 130.494 * * [simplify]: Extracting #2: cost 14 inf + 1 130.494 * * [simplify]: Extracting #3: cost 43 inf + 1 130.495 * * [simplify]: Extracting #4: cost 116 inf + 407 130.497 * * [simplify]: Extracting #5: cost 164 inf + 1190 130.500 * * [simplify]: Extracting #6: cost 120 inf + 5339 130.507 * * [simplify]: Extracting #7: cost 59 inf + 17903 130.524 * * [simplify]: Extracting #8: cost 23 inf + 40731 130.543 * * [simplify]: Extracting #9: cost 0 inf + 62501 130.554 * * [simplify]: Extracting #10: cost 0 inf + 60659 130.565 * * [simplify]: Extracting #11: cost 0 inf + 60154 130.579 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 130.579 * [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))))))) 130.579 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.580 * * [simplify]: iters left: 6 (16 enodes) 130.589 * * [simplify]: iters left: 5 (65 enodes) 130.610 * * [simplify]: iters left: 4 (102 enodes) 130.638 * * [simplify]: iters left: 3 (146 enodes) 130.670 * * [simplify]: iters left: 2 (248 enodes) 130.731 * * [simplify]: iters left: 1 (404 enodes) 130.885 * * [simplify]: Extracting #0: cost 1 inf + 0 130.885 * * [simplify]: Extracting #1: cost 7 inf + 0 130.885 * * [simplify]: Extracting #2: cost 13 inf + 1 130.885 * * [simplify]: Extracting #3: cost 46 inf + 1 130.886 * * [simplify]: Extracting #4: cost 120 inf + 286 130.887 * * [simplify]: Extracting #5: cost 141 inf + 1402 130.891 * * [simplify]: Extracting #6: cost 90 inf + 9860 130.899 * * [simplify]: Extracting #7: cost 20 inf + 47049 130.909 * * [simplify]: Extracting #8: cost 0 inf + 63632 130.919 * * [simplify]: Extracting #9: cost 0 inf + 63554 130.929 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) 130.930 * [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))))) 130.930 * * * * [progress]: [ 193 / 307 ] simplifiying candidate # 130.930 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 130.930 * * [simplify]: iters left: 6 (8 enodes) 130.936 * * [simplify]: iters left: 5 (26 enodes) 130.944 * * [simplify]: iters left: 4 (32 enodes) 130.953 * * [simplify]: Extracting #0: cost 1 inf + 0 130.953 * * [simplify]: Extracting #1: cost 4 inf + 0 130.953 * * [simplify]: Extracting #2: cost 6 inf + 1 130.953 * * [simplify]: Extracting #3: cost 9 inf + 1 130.953 * * [simplify]: Extracting #4: cost 4 inf + 487 130.953 * * [simplify]: Extracting #5: cost 0 inf + 972 130.954 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 130.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 130.954 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 130.954 * * [simplify]: iters left: 6 (15 enodes) 130.964 * * [simplify]: iters left: 5 (62 enodes) 130.988 * * [simplify]: iters left: 4 (102 enodes) 131.021 * * [simplify]: iters left: 3 (166 enodes) 131.089 * * [simplify]: iters left: 2 (338 enodes) 131.271 * * [simplify]: Extracting #0: cost 1 inf + 0 131.271 * * [simplify]: Extracting #1: cost 57 inf + 0 131.272 * * [simplify]: Extracting #2: cost 141 inf + 1 131.273 * * [simplify]: Extracting #3: cost 188 inf + 3 131.275 * * [simplify]: Extracting #4: cost 165 inf + 4307 131.281 * * [simplify]: Extracting #5: cost 124 inf + 14276 131.299 * * [simplify]: Extracting #6: cost 26 inf + 77628 131.315 * * [simplify]: Extracting #7: cost 1 inf + 96462 131.329 * * [simplify]: Extracting #8: cost 0 inf + 97078 131.344 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 131.345 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 131.345 * * * * [progress]: [ 194 / 307 ] simplifiying candidate # 131.345 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.345 * * [simplify]: iters left: 6 (17 enodes) 131.351 * * [simplify]: iters left: 5 (72 enodes) 131.364 * * [simplify]: iters left: 4 (116 enodes) 131.384 * * [simplify]: iters left: 3 (191 enodes) 131.433 * * [simplify]: iters left: 2 (380 enodes) 131.569 * * [simplify]: Extracting #0: cost 1 inf + 0 131.569 * * [simplify]: Extracting #1: cost 43 inf + 0 131.570 * * [simplify]: Extracting #2: cost 127 inf + 1 131.571 * * [simplify]: Extracting #3: cost 190 inf + 3 131.574 * * [simplify]: Extracting #4: cost 178 inf + 2475 131.579 * * [simplify]: Extracting #5: cost 125 inf + 11606 131.590 * * [simplify]: Extracting #6: cost 52 inf + 53264 131.603 * * [simplify]: Extracting #7: cost 5 inf + 88513 131.620 * * [simplify]: Extracting #8: cost 0 inf + 92871 131.645 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 131.645 * [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)))))) 131.645 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 131.645 * * [simplify]: iters left: 6 (16 enodes) 131.653 * * [simplify]: iters left: 5 (68 enodes) 131.666 * * [simplify]: iters left: 4 (115 enodes) 131.687 * * [simplify]: iters left: 3 (196 enodes) 131.741 * * [simplify]: iters left: 2 (402 enodes) 131.931 * * [simplify]: Extracting #0: cost 1 inf + 0 131.931 * * [simplify]: Extracting #1: cost 47 inf + 0 131.932 * * [simplify]: Extracting #2: cost 129 inf + 1 131.933 * * [simplify]: Extracting #3: cost 189 inf + 3 131.935 * * [simplify]: Extracting #4: cost 183 inf + 1458 131.940 * * [simplify]: Extracting #5: cost 129 inf + 14999 131.956 * * [simplify]: Extracting #6: cost 26 inf + 73355 131.970 * * [simplify]: Extracting #7: cost 0 inf + 92708 131.983 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 131.983 * [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))))) 131.984 * * * * [progress]: [ 195 / 307 ] simplifiying candidate # 131.984 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 131.984 * * [simplify]: iters left: 6 (12 enodes) 131.990 * * [simplify]: iters left: 5 (49 enodes) 132.003 * * [simplify]: iters left: 4 (85 enodes) 132.017 * * [simplify]: iters left: 3 (146 enodes) 132.069 * * [simplify]: iters left: 2 (306 enodes) 132.182 * * [simplify]: Extracting #0: cost 1 inf + 0 132.183 * * [simplify]: Extracting #1: cost 45 inf + 0 132.183 * * [simplify]: Extracting #2: cost 138 inf + 1 132.185 * * [simplify]: Extracting #3: cost 181 inf + 4 132.187 * * [simplify]: Extracting #4: cost 166 inf + 3294 132.193 * * [simplify]: Extracting #5: cost 98 inf + 22839 132.209 * * [simplify]: Extracting #6: cost 15 inf + 72079 132.223 * * [simplify]: Extracting #7: cost 0 inf + 81271 132.233 * * [simplify]: Extracting #8: cost 0 inf + 81007 132.246 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.246 * [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)))))) 132.246 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 132.246 * * [simplify]: iters left: 6 (13 enodes) 132.255 * * [simplify]: iters left: 5 (53 enodes) 132.273 * * [simplify]: iters left: 4 (89 enodes) 132.289 * * [simplify]: iters left: 3 (146 enodes) 132.323 * * [simplify]: iters left: 2 (298 enodes) 132.433 * * [simplify]: Extracting #0: cost 1 inf + 0 132.433 * * [simplify]: Extracting #1: cost 45 inf + 0 132.434 * * [simplify]: Extracting #2: cost 125 inf + 1 132.434 * * [simplify]: Extracting #3: cost 170 inf + 3 132.435 * * [simplify]: Extracting #4: cost 162 inf + 756 132.437 * * [simplify]: Extracting #5: cost 119 inf + 6798 132.442 * * [simplify]: Extracting #6: cost 55 inf + 41462 132.452 * * [simplify]: Extracting #7: cost 2 inf + 81304 132.464 * * [simplify]: Extracting #8: cost 0 inf + 81157 132.478 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 132.478 * [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))))) 132.478 * * * * [progress]: [ 196 / 307 ] simplifiying candidate # 132.478 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 132.478 * * [simplify]: iters left: 6 (17 enodes) 132.483 * * [simplify]: iters left: 5 (70 enodes) 132.495 * * [simplify]: iters left: 4 (112 enodes) 132.520 * * [simplify]: iters left: 3 (170 enodes) 132.553 * * [simplify]: iters left: 2 (280 enodes) 132.619 * * [simplify]: iters left: 1 (456 enodes) 132.745 * * [simplify]: Extracting #0: cost 1 inf + 0 132.745 * * [simplify]: Extracting #1: cost 10 inf + 0 132.745 * * [simplify]: Extracting #2: cost 18 inf + 1 132.745 * * [simplify]: Extracting #3: cost 43 inf + 1 132.746 * * [simplify]: Extracting #4: cost 106 inf + 369 132.747 * * [simplify]: Extracting #5: cost 156 inf + 956 132.752 * * [simplify]: Extracting #6: cost 94 inf + 12290 132.761 * * [simplify]: Extracting #7: cost 45 inf + 25481 132.777 * * [simplify]: Extracting #8: cost 9 inf + 55334 132.797 * * [simplify]: Extracting #9: cost 0 inf + 63689 132.817 * * [simplify]: Extracting #10: cost 0 inf + 63531 132.837 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 132.837 * [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))))))) 132.838 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 132.838 * * [simplify]: iters left: 6 (16 enodes) 132.848 * * [simplify]: iters left: 5 (65 enodes) 132.859 * * [simplify]: iters left: 4 (101 enodes) 132.875 * * [simplify]: iters left: 3 (145 enodes) 132.904 * * [simplify]: iters left: 2 (246 enodes) 132.982 * * [simplify]: iters left: 1 (408 enodes) 133.113 * * [simplify]: Extracting #0: cost 1 inf + 0 133.113 * * [simplify]: Extracting #1: cost 7 inf + 0 133.113 * * [simplify]: Extracting #2: cost 12 inf + 1 133.113 * * [simplify]: Extracting #3: cost 37 inf + 1 133.113 * * [simplify]: Extracting #4: cost 101 inf + 247 133.114 * * [simplify]: Extracting #5: cost 133 inf + 2073 133.121 * * [simplify]: Extracting #6: cost 60 inf + 23445 133.137 * * [simplify]: Extracting #7: cost 7 inf + 56038 133.149 * * [simplify]: Extracting #8: cost 0 inf + 60758 133.159 * * [simplify]: Extracting #9: cost 0 inf + 59995 133.169 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.169 * [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))))) 133.169 * * * * [progress]: [ 197 / 307 ] simplifiying candidate # 133.169 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.169 * * [simplify]: iters left: 6 (16 enodes) 133.178 * * [simplify]: iters left: 5 (65 enodes) 133.198 * * [simplify]: iters left: 4 (102 enodes) 133.215 * * [simplify]: iters left: 3 (146 enodes) 133.243 * * [simplify]: iters left: 2 (248 enodes) 133.289 * * [simplify]: iters left: 1 (404 enodes) 133.456 * * [simplify]: Extracting #0: cost 1 inf + 0 133.456 * * [simplify]: Extracting #1: cost 7 inf + 0 133.456 * * [simplify]: Extracting #2: cost 13 inf + 1 133.456 * * [simplify]: Extracting #3: cost 46 inf + 1 133.457 * * [simplify]: Extracting #4: cost 120 inf + 166 133.458 * * [simplify]: Extracting #5: cost 141 inf + 1162 133.462 * * [simplify]: Extracting #6: cost 90 inf + 9620 133.476 * * [simplify]: Extracting #7: cost 20 inf + 46689 133.496 * * [simplify]: Extracting #8: cost 0 inf + 63232 133.507 * * [simplify]: Extracting #9: cost 0 inf + 63154 133.517 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.517 * [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))))))) 133.517 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.517 * * [simplify]: iters left: 6 (16 enodes) 133.522 * * [simplify]: iters left: 5 (65 enodes) 133.533 * * [simplify]: iters left: 4 (102 enodes) 133.549 * * [simplify]: iters left: 3 (146 enodes) 133.577 * * [simplify]: iters left: 2 (248 enodes) 133.649 * * [simplify]: iters left: 1 (404 enodes) 133.824 * * [simplify]: Extracting #0: cost 1 inf + 0 133.824 * * [simplify]: Extracting #1: cost 7 inf + 0 133.824 * * [simplify]: Extracting #2: cost 13 inf + 1 133.824 * * [simplify]: Extracting #3: cost 46 inf + 1 133.825 * * [simplify]: Extracting #4: cost 120 inf + 166 133.826 * * [simplify]: Extracting #5: cost 141 inf + 1162 133.831 * * [simplify]: Extracting #6: cost 90 inf + 9620 133.844 * * [simplify]: Extracting #7: cost 20 inf + 46689 133.863 * * [simplify]: Extracting #8: cost 0 inf + 63232 133.883 * * [simplify]: Extracting #9: cost 0 inf + 63154 133.903 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 133.903 * [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))))) 133.903 * * * * [progress]: [ 198 / 307 ] simplifiying candidate # 133.903 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 133.903 * * [simplify]: iters left: 6 (7 enodes) 133.908 * * [simplify]: iters left: 5 (23 enodes) 133.916 * * [simplify]: iters left: 4 (27 enodes) 133.922 * * [simplify]: Extracting #0: cost 1 inf + 0 133.922 * * [simplify]: Extracting #1: cost 4 inf + 0 133.922 * * [simplify]: Extracting #2: cost 5 inf + 1 133.922 * * [simplify]: Extracting #3: cost 7 inf + 1 133.923 * * [simplify]: Extracting #4: cost 2 inf + 287 133.923 * * [simplify]: Extracting #5: cost 0 inf + 490 133.923 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 133.923 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 133.923 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 133.924 * * [simplify]: iters left: 6 (15 enodes) 133.933 * * [simplify]: iters left: 5 (62 enodes) 133.957 * * [simplify]: iters left: 4 (102 enodes) 133.991 * * [simplify]: iters left: 3 (166 enodes) 134.043 * * [simplify]: iters left: 2 (338 enodes) 134.158 * * [simplify]: Extracting #0: cost 1 inf + 0 134.158 * * [simplify]: Extracting #1: cost 57 inf + 0 134.158 * * [simplify]: Extracting #2: cost 141 inf + 1 134.159 * * [simplify]: Extracting #3: cost 188 inf + 3 134.160 * * [simplify]: Extracting #4: cost 165 inf + 4027 134.163 * * [simplify]: Extracting #5: cost 124 inf + 13636 134.172 * * [simplify]: Extracting #6: cost 26 inf + 74868 134.196 * * [simplify]: Extracting #7: cost 1 inf + 92982 134.222 * * [simplify]: Extracting #8: cost 0 inf + 93558 134.239 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 134.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 134.239 * * * * [progress]: [ 199 / 307 ] simplifiying candidate # 134.240 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 134.240 * * [simplify]: iters left: 6 (16 enodes) 134.247 * * [simplify]: iters left: 5 (68 enodes) 134.259 * * [simplify]: iters left: 4 (115 enodes) 134.298 * * [simplify]: iters left: 3 (196 enodes) 134.381 * * [simplify]: iters left: 2 (402 enodes) 134.519 * * [simplify]: Extracting #0: cost 1 inf + 0 134.519 * * [simplify]: Extracting #1: cost 47 inf + 0 134.520 * * [simplify]: Extracting #2: cost 129 inf + 1 134.521 * * [simplify]: Extracting #3: cost 189 inf + 3 134.522 * * [simplify]: Extracting #4: cost 183 inf + 1338 134.524 * * [simplify]: Extracting #5: cost 129 inf + 14559 134.534 * * [simplify]: Extracting #6: cost 26 inf + 70835 134.558 * * [simplify]: Extracting #7: cost 0 inf + 89548 134.585 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 134.585 * [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)))))) 134.586 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 134.586 * * [simplify]: iters left: 6 (16 enodes) 134.595 * * [simplify]: iters left: 5 (68 enodes) 134.617 * * [simplify]: iters left: 4 (115 enodes) 134.657 * * [simplify]: iters left: 3 (196 enodes) 134.742 * * [simplify]: iters left: 2 (402 enodes) 134.959 * * [simplify]: Extracting #0: cost 1 inf + 0 134.959 * * [simplify]: Extracting #1: cost 47 inf + 0 134.960 * * [simplify]: Extracting #2: cost 129 inf + 1 134.961 * * [simplify]: Extracting #3: cost 189 inf + 3 134.963 * * [simplify]: Extracting #4: cost 183 inf + 1338 134.968 * * [simplify]: Extracting #5: cost 129 inf + 14559 134.986 * * [simplify]: Extracting #6: cost 26 inf + 70835 134.999 * * [simplify]: Extracting #7: cost 0 inf + 89548 135.013 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 135.013 * [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))))) 135.014 * * * * [progress]: [ 200 / 307 ] simplifiying candidate # 135.014 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 135.014 * * [simplify]: iters left: 6 (10 enodes) 135.021 * * [simplify]: iters left: 5 (43 enodes) 135.031 * * [simplify]: iters left: 4 (66 enodes) 135.042 * * [simplify]: iters left: 3 (104 enodes) 135.073 * * [simplify]: iters left: 2 (210 enodes) 135.133 * * [simplify]: iters left: 1 (426 enodes) 135.371 * * [simplify]: Extracting #0: cost 1 inf + 0 135.371 * * [simplify]: Extracting #1: cost 50 inf + 0 135.372 * * [simplify]: Extracting #2: cost 178 inf + 3 135.374 * * [simplify]: Extracting #3: cost 229 inf + 8 135.377 * * [simplify]: Extracting #4: cost 218 inf + 842 135.381 * * [simplify]: Extracting #5: cost 165 inf + 7025 135.392 * * [simplify]: Extracting #6: cost 99 inf + 38892 135.426 * * [simplify]: Extracting #7: cost 3 inf + 112732 135.460 * * [simplify]: Extracting #8: cost 0 inf + 111907 135.493 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 135.493 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.493 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 135.494 * * [simplify]: iters left: 6 (12 enodes) 135.503 * * [simplify]: iters left: 5 (50 enodes) 135.520 * * [simplify]: iters left: 4 (86 enodes) 135.546 * * [simplify]: iters left: 3 (147 enodes) 135.587 * * [simplify]: iters left: 2 (300 enodes) 135.735 * * [simplify]: Extracting #0: cost 1 inf + 0 135.735 * * [simplify]: Extracting #1: cost 41 inf + 0 135.736 * * [simplify]: Extracting #2: cost 125 inf + 1 135.736 * * [simplify]: Extracting #3: cost 163 inf + 127 135.737 * * [simplify]: Extracting #4: cost 162 inf + 425 135.738 * * [simplify]: Extracting #5: cost 132 inf + 3989 135.742 * * [simplify]: Extracting #6: cost 68 inf + 31169 135.760 * * [simplify]: Extracting #7: cost 6 inf + 73091 135.784 * * [simplify]: Extracting #8: cost 0 inf + 74351 135.804 * * [simplify]: Extracting #9: cost 0 inf + 74220 135.823 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 135.823 * [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)))) 135.824 * * * * [progress]: [ 201 / 307 ] simplifiying candidate # 135.824 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 135.824 * * [simplify]: iters left: 6 (15 enodes) 135.829 * * [simplify]: iters left: 5 (64 enodes) 135.841 * * [simplify]: iters left: 4 (102 enodes) 135.862 * * [simplify]: iters left: 3 (143 enodes) 135.890 * * [simplify]: iters left: 2 (223 enodes) 135.940 * * [simplify]: iters left: 1 (382 enodes) 136.080 * * [simplify]: Extracting #0: cost 1 inf + 0 136.080 * * [simplify]: Extracting #1: cost 6 inf + 0 136.080 * * [simplify]: Extracting #2: cost 9 inf + 1 136.080 * * [simplify]: Extracting #3: cost 30 inf + 1 136.080 * * [simplify]: Extracting #4: cost 95 inf + 2 136.081 * * [simplify]: Extracting #5: cost 140 inf + 176 136.085 * * [simplify]: Extracting #6: cost 135 inf + 684 136.087 * * [simplify]: Extracting #7: cost 70 inf + 13009 136.094 * * [simplify]: Extracting #8: cost 14 inf + 43796 136.102 * * [simplify]: Extracting #9: cost 0 inf + 57179 136.117 * * [simplify]: Extracting #10: cost 0 inf + 57019 136.135 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 136.135 * [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))))))) 136.135 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.135 * * [simplify]: iters left: 6 (15 enodes) 136.142 * * [simplify]: iters left: 5 (62 enodes) 136.153 * * [simplify]: iters left: 4 (98 enodes) 136.171 * * [simplify]: iters left: 3 (142 enodes) 136.210 * * [simplify]: iters left: 2 (243 enodes) 136.279 * * [simplify]: iters left: 1 (397 enodes) 136.430 * * [simplify]: Extracting #0: cost 1 inf + 0 136.430 * * [simplify]: Extracting #1: cost 7 inf + 0 136.430 * * [simplify]: Extracting #2: cost 12 inf + 1 136.431 * * [simplify]: Extracting #3: cost 32 inf + 166 136.431 * * [simplify]: Extracting #4: cost 99 inf + 249 136.433 * * [simplify]: Extracting #5: cost 136 inf + 963 136.437 * * [simplify]: Extracting #6: cost 84 inf + 11802 136.442 * * [simplify]: Extracting #7: cost 39 inf + 29194 136.451 * * [simplify]: Extracting #8: cost 3 inf + 58605 136.460 * * [simplify]: Extracting #9: cost 0 inf + 60363 136.469 * * [simplify]: Extracting #10: cost 0 inf + 60114 136.483 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 136.483 * [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)))) 136.483 * * * * [progress]: [ 202 / 307 ] simplifiying candidate # 136.484 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.484 * * [simplify]: iters left: 6 (14 enodes) 136.493 * * [simplify]: iters left: 5 (59 enodes) 136.514 * * [simplify]: iters left: 4 (93 enodes) 136.546 * * [simplify]: iters left: 3 (133 enodes) 136.578 * * [simplify]: iters left: 2 (204 enodes) 136.625 * * [simplify]: iters left: 1 (365 enodes) 136.758 * * [simplify]: Extracting #0: cost 1 inf + 0 136.758 * * [simplify]: Extracting #1: cost 6 inf + 0 136.758 * * [simplify]: Extracting #2: cost 33 inf + 1 136.759 * * [simplify]: Extracting #3: cost 116 inf + 2 136.760 * * [simplify]: Extracting #4: cost 153 inf + 177 136.762 * * [simplify]: Extracting #5: cost 149 inf + 436 136.765 * * [simplify]: Extracting #6: cost 94 inf + 6733 136.775 * * [simplify]: Extracting #7: cost 31 inf + 34037 136.794 * * [simplify]: Extracting #8: cost 1 inf + 59242 136.811 * * [simplify]: Extracting #9: cost 0 inf + 58472 136.821 * * [simplify]: Extracting #10: cost 0 inf + 58432 136.831 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 136.831 * [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))))))) 136.832 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 136.832 * * [simplify]: iters left: 6 (15 enodes) 136.839 * * [simplify]: iters left: 5 (62 enodes) 136.856 * * [simplify]: iters left: 4 (99 enodes) 136.887 * * [simplify]: iters left: 3 (146 enodes) 136.918 * * [simplify]: iters left: 2 (253 enodes) 136.986 * * [simplify]: iters left: 1 (407 enodes) 137.104 * * [simplify]: Extracting #0: cost 1 inf + 0 137.104 * * [simplify]: Extracting #1: cost 7 inf + 0 137.104 * * [simplify]: Extracting #2: cost 13 inf + 1 137.105 * * [simplify]: Extracting #3: cost 36 inf + 84 137.105 * * [simplify]: Extracting #4: cost 111 inf + 167 137.107 * * [simplify]: Extracting #5: cost 136 inf + 1543 137.112 * * [simplify]: Extracting #6: cost 76 inf + 15336 137.124 * * [simplify]: Extracting #7: cost 19 inf + 39887 137.142 * * [simplify]: Extracting #8: cost 1 inf + 56477 137.163 * * [simplify]: Extracting #9: cost 0 inf + 57357 137.181 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 137.181 * [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)))) 137.181 * * * * [progress]: [ 203 / 307 ] simplifiying candidate # 137.182 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 137.182 * * [simplify]: iters left: 5 (4 enodes) 137.189 * * [simplify]: iters left: 4 (14 enodes) 137.192 * * [simplify]: iters left: 3 (16 enodes) 137.195 * * [simplify]: Extracting #0: cost 1 inf + 0 137.195 * * [simplify]: Extracting #1: cost 0 inf + 1 137.195 * [simplify]: Simplified to 1 137.195 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 137.196 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.196 * * [simplify]: iters left: 6 (14 enodes) 137.204 * * [simplify]: iters left: 5 (59 enodes) 137.225 * * [simplify]: iters left: 4 (103 enodes) 137.251 * * [simplify]: iters left: 3 (165 enodes) 137.287 * * [simplify]: iters left: 2 (314 enodes) 137.406 * * [simplify]: Extracting #0: cost 1 inf + 0 137.406 * * [simplify]: Extracting #1: cost 56 inf + 0 137.407 * * [simplify]: Extracting #2: cost 152 inf + 1 137.408 * * [simplify]: Extracting #3: cost 195 inf + 86 137.410 * * [simplify]: Extracting #4: cost 187 inf + 1215 137.414 * * [simplify]: Extracting #5: cost 137 inf + 11621 137.429 * * [simplify]: Extracting #6: cost 48 inf + 64325 137.456 * * [simplify]: Extracting #7: cost 1 inf + 98423 137.486 * * [simplify]: Extracting #8: cost 0 inf + 98696 137.506 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 137.506 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 137.507 * * * * [progress]: [ 204 / 307 ] simplifiying candidate # 137.507 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 137.507 * * [simplify]: iters left: 6 (14 enodes) 137.512 * * [simplify]: iters left: 5 (62 enodes) 137.524 * * [simplify]: iters left: 4 (103 enodes) 137.552 * * [simplify]: iters left: 3 (161 enodes) 137.606 * * [simplify]: iters left: 2 (285 enodes) 137.696 * * [simplify]: Extracting #0: cost 1 inf + 0 137.696 * * [simplify]: Extracting #1: cost 21 inf + 0 137.696 * * [simplify]: Extracting #2: cost 81 inf + 2 137.696 * * [simplify]: Extracting #3: cost 124 inf + 301 137.697 * * [simplify]: Extracting #4: cost 119 inf + 641 137.699 * * [simplify]: Extracting #5: cost 79 inf + 4450 137.706 * * [simplify]: Extracting #6: cost 25 inf + 24197 137.718 * * [simplify]: Extracting #7: cost 0 inf + 44139 137.733 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 137.733 * [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)))))) 137.734 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 137.734 * * [simplify]: iters left: 6 (15 enodes) 137.744 * * [simplify]: iters left: 5 (65 enodes) 137.761 * * [simplify]: iters left: 4 (109 enodes) 137.780 * * [simplify]: iters left: 3 (183 enodes) 137.850 * * [simplify]: iters left: 2 (370 enodes) 137.985 * * [simplify]: Extracting #0: cost 1 inf + 0 137.986 * * [simplify]: Extracting #1: cost 42 inf + 0 137.986 * * [simplify]: Extracting #2: cost 132 inf + 1 137.988 * * [simplify]: Extracting #3: cost 186 inf + 127 137.990 * * [simplify]: Extracting #4: cost 179 inf + 2752 137.995 * * [simplify]: Extracting #5: cost 124 inf + 11902 138.012 * * [simplify]: Extracting #6: cost 25 inf + 73950 138.037 * * [simplify]: Extracting #7: cost 1 inf + 90027 138.067 * * [simplify]: Extracting #8: cost 0 inf + 90039 138.081 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 138.082 * [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)))) 138.082 * * * * [progress]: [ 205 / 307 ] simplifiying candidate # 138.082 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 138.082 * * [simplify]: iters left: 6 (12 enodes) 138.087 * * [simplify]: iters left: 5 (49 enodes) 138.095 * * [simplify]: iters left: 4 (85 enodes) 138.118 * * [simplify]: iters left: 3 (146 enodes) 138.161 * * [simplify]: iters left: 2 (306 enodes) 138.281 * * [simplify]: Extracting #0: cost 1 inf + 0 138.281 * * [simplify]: Extracting #1: cost 45 inf + 0 138.282 * * [simplify]: Extracting #2: cost 138 inf + 1 138.282 * * [simplify]: Extracting #3: cost 181 inf + 4 138.283 * * [simplify]: Extracting #4: cost 166 inf + 3294 138.286 * * [simplify]: Extracting #5: cost 98 inf + 22839 138.294 * * [simplify]: Extracting #6: cost 15 inf + 72079 138.311 * * [simplify]: Extracting #7: cost 0 inf + 81271 138.322 * * [simplify]: Extracting #8: cost 0 inf + 81007 138.335 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 138.335 * [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)))))) 138.335 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 138.336 * * [simplify]: iters left: 6 (13 enodes) 138.340 * * [simplify]: iters left: 5 (53 enodes) 138.356 * * [simplify]: iters left: 4 (89 enodes) 138.386 * * [simplify]: iters left: 3 (146 enodes) 138.440 * * [simplify]: iters left: 2 (298 enodes) 138.552 * * [simplify]: Extracting #0: cost 1 inf + 0 138.552 * * [simplify]: Extracting #1: cost 45 inf + 0 138.553 * * [simplify]: Extracting #2: cost 125 inf + 1 138.554 * * [simplify]: Extracting #3: cost 170 inf + 3 138.556 * * [simplify]: Extracting #4: cost 162 inf + 756 138.559 * * [simplify]: Extracting #5: cost 119 inf + 6798 138.566 * * [simplify]: Extracting #6: cost 55 inf + 41462 138.577 * * [simplify]: Extracting #7: cost 2 inf + 81304 138.588 * * [simplify]: Extracting #8: cost 0 inf + 81157 138.600 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 138.600 * [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))))) 138.600 * * * * [progress]: [ 206 / 307 ] simplifiying candidate # 138.600 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 138.600 * * [simplify]: iters left: 6 (17 enodes) 138.606 * * [simplify]: iters left: 5 (70 enodes) 138.627 * * [simplify]: iters left: 4 (112 enodes) 138.646 * * [simplify]: iters left: 3 (170 enodes) 138.699 * * [simplify]: iters left: 2 (280 enodes) 138.782 * * [simplify]: iters left: 1 (456 enodes) 138.914 * * [simplify]: Extracting #0: cost 1 inf + 0 138.914 * * [simplify]: Extracting #1: cost 10 inf + 0 138.914 * * [simplify]: Extracting #2: cost 18 inf + 1 138.914 * * [simplify]: Extracting #3: cost 43 inf + 1 138.915 * * [simplify]: Extracting #4: cost 106 inf + 369 138.916 * * [simplify]: Extracting #5: cost 156 inf + 956 138.918 * * [simplify]: Extracting #6: cost 94 inf + 12290 138.923 * * [simplify]: Extracting #7: cost 45 inf + 25481 138.940 * * [simplify]: Extracting #8: cost 9 inf + 55334 138.961 * * [simplify]: Extracting #9: cost 0 inf + 63689 138.982 * * [simplify]: Extracting #10: cost 0 inf + 63531 139.002 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 139.002 * [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))))))) 139.002 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.003 * * [simplify]: iters left: 6 (16 enodes) 139.012 * * [simplify]: iters left: 5 (65 enodes) 139.033 * * [simplify]: iters left: 4 (101 enodes) 139.051 * * [simplify]: iters left: 3 (145 enodes) 139.084 * * [simplify]: iters left: 2 (246 enodes) 139.143 * * [simplify]: iters left: 1 (408 enodes) 139.297 * * [simplify]: Extracting #0: cost 1 inf + 0 139.297 * * [simplify]: Extracting #1: cost 7 inf + 0 139.297 * * [simplify]: Extracting #2: cost 12 inf + 1 139.297 * * [simplify]: Extracting #3: cost 37 inf + 1 139.298 * * [simplify]: Extracting #4: cost 101 inf + 247 139.300 * * [simplify]: Extracting #5: cost 133 inf + 2073 139.307 * * [simplify]: Extracting #6: cost 60 inf + 23445 139.323 * * [simplify]: Extracting #7: cost 7 inf + 56038 139.342 * * [simplify]: Extracting #8: cost 0 inf + 60758 139.362 * * [simplify]: Extracting #9: cost 0 inf + 59995 139.378 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 139.378 * [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))))) 139.378 * * * * [progress]: [ 207 / 307 ] simplifiying candidate # 139.378 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.378 * * [simplify]: iters left: 6 (16 enodes) 139.383 * * [simplify]: iters left: 5 (65 enodes) 139.394 * * [simplify]: iters left: 4 (102 enodes) 139.421 * * [simplify]: iters left: 3 (146 enodes) 139.473 * * [simplify]: iters left: 2 (248 enodes) 139.539 * * [simplify]: iters left: 1 (404 enodes) 139.657 * * [simplify]: Extracting #0: cost 1 inf + 0 139.657 * * [simplify]: Extracting #1: cost 7 inf + 0 139.657 * * [simplify]: Extracting #2: cost 13 inf + 1 139.657 * * [simplify]: Extracting #3: cost 46 inf + 1 139.658 * * [simplify]: Extracting #4: cost 120 inf + 166 139.659 * * [simplify]: Extracting #5: cost 141 inf + 1162 139.663 * * [simplify]: Extracting #6: cost 90 inf + 9620 139.676 * * [simplify]: Extracting #7: cost 20 inf + 46689 139.695 * * [simplify]: Extracting #8: cost 0 inf + 63232 139.718 * * [simplify]: Extracting #9: cost 0 inf + 63154 139.738 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 139.738 * [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))))))) 139.738 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 139.739 * * [simplify]: iters left: 6 (16 enodes) 139.748 * * [simplify]: iters left: 5 (65 enodes) 139.769 * * [simplify]: iters left: 4 (102 enodes) 139.796 * * [simplify]: iters left: 3 (146 enodes) 139.823 * * [simplify]: iters left: 2 (248 enodes) 139.911 * * [simplify]: iters left: 1 (404 enodes) 140.082 * * [simplify]: Extracting #0: cost 1 inf + 0 140.082 * * [simplify]: Extracting #1: cost 7 inf + 0 140.082 * * [simplify]: Extracting #2: cost 13 inf + 1 140.082 * * [simplify]: Extracting #3: cost 46 inf + 1 140.083 * * [simplify]: Extracting #4: cost 120 inf + 166 140.085 * * [simplify]: Extracting #5: cost 141 inf + 1162 140.089 * * [simplify]: Extracting #6: cost 90 inf + 9620 140.099 * * [simplify]: Extracting #7: cost 20 inf + 46689 140.109 * * [simplify]: Extracting #8: cost 0 inf + 63232 140.120 * * [simplify]: Extracting #9: cost 0 inf + 63154 140.140 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 140.140 * [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))))) 140.140 * * * * [progress]: [ 208 / 307 ] simplifiying candidate # 140.140 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 140.140 * * [simplify]: iters left: 6 (7 enodes) 140.146 * * [simplify]: iters left: 5 (23 enodes) 140.153 * * [simplify]: iters left: 4 (27 enodes) 140.160 * * [simplify]: Extracting #0: cost 1 inf + 0 140.160 * * [simplify]: Extracting #1: cost 4 inf + 0 140.160 * * [simplify]: Extracting #2: cost 5 inf + 1 140.160 * * [simplify]: Extracting #3: cost 7 inf + 1 140.160 * * [simplify]: Extracting #4: cost 2 inf + 287 140.160 * * [simplify]: Extracting #5: cost 0 inf + 490 140.161 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 140.161 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 140.161 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 140.161 * * [simplify]: iters left: 6 (15 enodes) 140.171 * * [simplify]: iters left: 5 (62 enodes) 140.192 * * [simplify]: iters left: 4 (102 enodes) 140.217 * * [simplify]: iters left: 3 (166 enodes) 140.255 * * [simplify]: iters left: 2 (338 enodes) 140.374 * * [simplify]: Extracting #0: cost 1 inf + 0 140.374 * * [simplify]: Extracting #1: cost 57 inf + 0 140.377 * * [simplify]: Extracting #2: cost 141 inf + 1 140.378 * * [simplify]: Extracting #3: cost 188 inf + 3 140.379 * * [simplify]: Extracting #4: cost 165 inf + 4027 140.382 * * [simplify]: Extracting #5: cost 124 inf + 13636 140.391 * * [simplify]: Extracting #6: cost 26 inf + 74868 140.407 * * [simplify]: Extracting #7: cost 1 inf + 92982 140.433 * * [simplify]: Extracting #8: cost 0 inf + 93558 140.460 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 140.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 140.460 * * * * [progress]: [ 209 / 307 ] simplifiying candidate # 140.461 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 140.461 * * [simplify]: iters left: 6 (16 enodes) 140.469 * * [simplify]: iters left: 5 (68 enodes) 140.481 * * [simplify]: iters left: 4 (115 enodes) 140.507 * * [simplify]: iters left: 3 (196 enodes) 140.557 * * [simplify]: iters left: 2 (402 enodes) 140.700 * * [simplify]: Extracting #0: cost 1 inf + 0 140.701 * * [simplify]: Extracting #1: cost 47 inf + 0 140.701 * * [simplify]: Extracting #2: cost 129 inf + 1 140.703 * * [simplify]: Extracting #3: cost 189 inf + 3 140.704 * * [simplify]: Extracting #4: cost 183 inf + 1338 140.709 * * [simplify]: Extracting #5: cost 129 inf + 14559 140.728 * * [simplify]: Extracting #6: cost 26 inf + 70835 140.746 * * [simplify]: Extracting #7: cost 0 inf + 89548 140.760 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 140.760 * [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)))))) 140.760 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 140.760 * * [simplify]: iters left: 6 (16 enodes) 140.769 * * [simplify]: iters left: 5 (68 enodes) 140.782 * * [simplify]: iters left: 4 (115 enodes) 140.802 * * [simplify]: iters left: 3 (196 enodes) 140.882 * * [simplify]: iters left: 2 (402 enodes) 141.061 * * [simplify]: Extracting #0: cost 1 inf + 0 141.061 * * [simplify]: Extracting #1: cost 47 inf + 0 141.062 * * [simplify]: Extracting #2: cost 129 inf + 1 141.063 * * [simplify]: Extracting #3: cost 189 inf + 3 141.064 * * [simplify]: Extracting #4: cost 183 inf + 1338 141.066 * * [simplify]: Extracting #5: cost 129 inf + 14559 141.076 * * [simplify]: Extracting #6: cost 26 inf + 70835 141.092 * * [simplify]: Extracting #7: cost 0 inf + 89548 141.110 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 141.110 * [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))))) 141.110 * * * * [progress]: [ 210 / 307 ] simplifiying candidate # 141.110 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 141.111 * * [simplify]: iters left: 6 (10 enodes) 141.118 * * [simplify]: iters left: 5 (43 enodes) 141.132 * * [simplify]: iters left: 4 (66 enodes) 141.153 * * [simplify]: iters left: 3 (104 enodes) 141.183 * * [simplify]: iters left: 2 (210 enodes) 141.252 * * [simplify]: iters left: 1 (426 enodes) 141.535 * * [simplify]: Extracting #0: cost 1 inf + 0 141.535 * * [simplify]: Extracting #1: cost 50 inf + 0 141.537 * * [simplify]: Extracting #2: cost 178 inf + 3 141.539 * * [simplify]: Extracting #3: cost 229 inf + 8 141.542 * * [simplify]: Extracting #4: cost 218 inf + 842 141.546 * * [simplify]: Extracting #5: cost 165 inf + 7025 141.557 * * [simplify]: Extracting #6: cost 99 inf + 38892 141.587 * * [simplify]: Extracting #7: cost 3 inf + 112732 141.616 * * [simplify]: Extracting #8: cost 0 inf + 111907 141.643 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 141.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 141.643 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 141.643 * * [simplify]: iters left: 6 (12 enodes) 141.652 * * [simplify]: iters left: 5 (50 enodes) 141.667 * * [simplify]: iters left: 4 (86 enodes) 141.682 * * [simplify]: iters left: 3 (147 enodes) 141.738 * * [simplify]: iters left: 2 (300 enodes) 141.903 * * [simplify]: Extracting #0: cost 1 inf + 0 141.903 * * [simplify]: Extracting #1: cost 41 inf + 0 141.903 * * [simplify]: Extracting #2: cost 125 inf + 1 141.905 * * [simplify]: Extracting #3: cost 163 inf + 127 141.906 * * [simplify]: Extracting #4: cost 162 inf + 425 141.909 * * [simplify]: Extracting #5: cost 132 inf + 3989 141.916 * * [simplify]: Extracting #6: cost 68 inf + 31169 141.926 * * [simplify]: Extracting #7: cost 6 inf + 73091 141.936 * * [simplify]: Extracting #8: cost 0 inf + 74351 141.946 * * [simplify]: Extracting #9: cost 0 inf + 74220 141.967 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 141.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 141.967 * * * * [progress]: [ 211 / 307 ] simplifiying candidate # 141.967 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 141.967 * * [simplify]: iters left: 6 (15 enodes) 141.977 * * [simplify]: iters left: 5 (64 enodes) 141.998 * * [simplify]: iters left: 4 (99 enodes) 142.028 * * [simplify]: iters left: 3 (138 enodes) 142.053 * * [simplify]: iters left: 2 (214 enodes) 142.113 * * [simplify]: iters left: 1 (383 enodes) 142.260 * * [simplify]: Extracting #0: cost 1 inf + 0 142.261 * * [simplify]: Extracting #1: cost 6 inf + 0 142.261 * * [simplify]: Extracting #2: cost 9 inf + 1 142.261 * * [simplify]: Extracting #3: cost 32 inf + 1 142.262 * * [simplify]: Extracting #4: cost 107 inf + 2 142.263 * * [simplify]: Extracting #5: cost 154 inf + 176 142.264 * * [simplify]: Extracting #6: cost 151 inf + 561 142.268 * * [simplify]: Extracting #7: cost 93 inf + 7562 142.277 * * [simplify]: Extracting #8: cost 38 inf + 31911 142.293 * * [simplify]: Extracting #9: cost 2 inf + 62191 142.302 * * [simplify]: Extracting #10: cost 0 inf + 62639 142.312 * * [simplify]: Extracting #11: cost 0 inf + 62428 142.322 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.322 * [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))))))) 142.322 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.322 * * [simplify]: iters left: 6 (15 enodes) 142.329 * * [simplify]: iters left: 5 (62 enodes) 142.345 * * [simplify]: iters left: 4 (98 enodes) 142.376 * * [simplify]: iters left: 3 (142 enodes) 142.429 * * [simplify]: iters left: 2 (243 enodes) 142.513 * * [simplify]: iters left: 1 (397 enodes) 142.653 * * [simplify]: Extracting #0: cost 1 inf + 0 142.653 * * [simplify]: Extracting #1: cost 7 inf + 0 142.653 * * [simplify]: Extracting #2: cost 12 inf + 1 142.653 * * [simplify]: Extracting #3: cost 32 inf + 166 142.654 * * [simplify]: Extracting #4: cost 99 inf + 249 142.655 * * [simplify]: Extracting #5: cost 136 inf + 963 142.659 * * [simplify]: Extracting #6: cost 84 inf + 11802 142.667 * * [simplify]: Extracting #7: cost 39 inf + 29194 142.681 * * [simplify]: Extracting #8: cost 3 inf + 58605 142.697 * * [simplify]: Extracting #9: cost 0 inf + 60363 142.706 * * [simplify]: Extracting #10: cost 0 inf + 60114 142.716 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 142.716 * [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)))) 142.716 * * * * [progress]: [ 212 / 307 ] simplifiying candidate # 142.716 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 142.716 * * [simplify]: iters left: 6 (14 enodes) 142.721 * * [simplify]: iters left: 5 (59 enodes) 142.735 * * [simplify]: iters left: 4 (93 enodes) 142.766 * * [simplify]: iters left: 3 (133 enodes) 142.795 * * [simplify]: iters left: 2 (204 enodes) 142.848 * * [simplify]: iters left: 1 (365 enodes) 143.009 * * [simplify]: Extracting #0: cost 1 inf + 0 143.009 * * [simplify]: Extracting #1: cost 6 inf + 0 143.010 * * [simplify]: Extracting #2: cost 33 inf + 1 143.010 * * [simplify]: Extracting #3: cost 116 inf + 2 143.012 * * [simplify]: Extracting #4: cost 153 inf + 177 143.013 * * [simplify]: Extracting #5: cost 149 inf + 436 143.017 * * [simplify]: Extracting #6: cost 94 inf + 6733 143.027 * * [simplify]: Extracting #7: cost 31 inf + 34037 143.046 * * [simplify]: Extracting #8: cost 1 inf + 59242 143.066 * * [simplify]: Extracting #9: cost 0 inf + 58472 143.085 * * [simplify]: Extracting #10: cost 0 inf + 58432 143.105 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 143.105 * [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))))))) 143.105 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 143.105 * * [simplify]: iters left: 6 (15 enodes) 143.117 * * [simplify]: iters left: 5 (62 enodes) 143.136 * * [simplify]: iters left: 4 (99 enodes) 143.152 * * [simplify]: iters left: 3 (146 enodes) 143.180 * * [simplify]: iters left: 2 (253 enodes) 143.271 * * [simplify]: iters left: 1 (407 enodes) 143.404 * * [simplify]: Extracting #0: cost 1 inf + 0 143.404 * * [simplify]: Extracting #1: cost 7 inf + 0 143.404 * * [simplify]: Extracting #2: cost 13 inf + 1 143.404 * * [simplify]: Extracting #3: cost 36 inf + 84 143.405 * * [simplify]: Extracting #4: cost 111 inf + 167 143.406 * * [simplify]: Extracting #5: cost 136 inf + 1543 143.408 * * [simplify]: Extracting #6: cost 76 inf + 15336 143.414 * * [simplify]: Extracting #7: cost 19 inf + 39887 143.425 * * [simplify]: Extracting #8: cost 1 inf + 56477 143.437 * * [simplify]: Extracting #9: cost 0 inf + 57357 143.447 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 143.447 * [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)))) 143.447 * * * * [progress]: [ 213 / 307 ] simplifiying candidate # 143.447 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 143.447 * * [simplify]: iters left: 4 (4 enodes) 143.451 * * [simplify]: iters left: 3 (12 enodes) 143.453 * * [simplify]: iters left: 2 (14 enodes) 143.455 * * [simplify]: Extracting #0: cost 1 inf + 0 143.456 * * [simplify]: Extracting #1: cost 0 inf + 1 143.456 * [simplify]: Simplified to 1 143.456 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.456 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 143.456 * * [simplify]: iters left: 6 (14 enodes) 143.461 * * [simplify]: iters left: 5 (59 enodes) 143.471 * * [simplify]: iters left: 4 (103 enodes) 143.496 * * [simplify]: iters left: 3 (165 enodes) 143.542 * * [simplify]: iters left: 2 (314 enodes) 143.689 * * [simplify]: Extracting #0: cost 1 inf + 0 143.690 * * [simplify]: Extracting #1: cost 56 inf + 0 143.690 * * [simplify]: Extracting #2: cost 152 inf + 1 143.691 * * [simplify]: Extracting #3: cost 195 inf + 86 143.692 * * [simplify]: Extracting #4: cost 187 inf + 1215 143.694 * * [simplify]: Extracting #5: cost 137 inf + 11621 143.702 * * [simplify]: Extracting #6: cost 48 inf + 64325 143.716 * * [simplify]: Extracting #7: cost 1 inf + 98423 143.741 * * [simplify]: Extracting #8: cost 0 inf + 98696 143.757 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 143.757 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 143.757 * * * * [progress]: [ 214 / 307 ] simplifiying candidate # 143.757 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 143.757 * * [simplify]: iters left: 6 (14 enodes) 143.763 * * [simplify]: iters left: 5 (62 enodes) 143.776 * * [simplify]: iters left: 4 (103 enodes) 143.812 * * [simplify]: iters left: 3 (161 enodes) 143.844 * * [simplify]: iters left: 2 (285 enodes) 143.926 * * [simplify]: Extracting #0: cost 1 inf + 0 143.926 * * [simplify]: Extracting #1: cost 21 inf + 0 143.927 * * [simplify]: Extracting #2: cost 81 inf + 2 143.928 * * [simplify]: Extracting #3: cost 124 inf + 301 143.929 * * [simplify]: Extracting #4: cost 119 inf + 641 143.931 * * [simplify]: Extracting #5: cost 79 inf + 4450 143.938 * * [simplify]: Extracting #6: cost 25 inf + 24197 143.950 * * [simplify]: Extracting #7: cost 0 inf + 44139 143.964 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 143.964 * [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)))))) 143.965 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 143.965 * * [simplify]: iters left: 6 (15 enodes) 143.975 * * [simplify]: iters left: 5 (65 enodes) 143.997 * * [simplify]: iters left: 4 (109 enodes) 144.031 * * [simplify]: iters left: 3 (183 enodes) 144.083 * * [simplify]: iters left: 2 (370 enodes) 144.201 * * [simplify]: Extracting #0: cost 1 inf + 0 144.201 * * [simplify]: Extracting #1: cost 42 inf + 0 144.202 * * [simplify]: Extracting #2: cost 132 inf + 1 144.203 * * [simplify]: Extracting #3: cost 186 inf + 127 144.205 * * [simplify]: Extracting #4: cost 179 inf + 2752 144.210 * * [simplify]: Extracting #5: cost 124 inf + 11902 144.227 * * [simplify]: Extracting #6: cost 25 inf + 73950 144.252 * * [simplify]: Extracting #7: cost 1 inf + 90027 144.280 * * [simplify]: Extracting #8: cost 0 inf + 90039 144.294 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 144.294 * [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)))) 144.294 * * * * [progress]: [ 215 / 307 ] simplifiying candidate # 144.295 * [simplify]: Simplifying (/ (sqrt 1) 1) 144.295 * * [simplify]: iters left: 3 (3 enodes) 144.297 * * [simplify]: iters left: 2 (9 enodes) 144.298 * * [simplify]: iters left: 1 (11 enodes) 144.300 * * [simplify]: Extracting #0: cost 1 inf + 0 144.300 * * [simplify]: Extracting #1: cost 0 inf + 1 144.300 * [simplify]: Simplified to 1 144.300 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 144.300 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.300 * * [simplify]: iters left: 6 (14 enodes) 144.305 * * [simplify]: iters left: 5 (59 enodes) 144.316 * * [simplify]: iters left: 4 (103 enodes) 144.334 * * [simplify]: iters left: 3 (165 enodes) 144.371 * * [simplify]: iters left: 2 (314 enodes) 144.514 * * [simplify]: Extracting #0: cost 1 inf + 0 144.514 * * [simplify]: Extracting #1: cost 56 inf + 0 144.514 * * [simplify]: Extracting #2: cost 152 inf + 1 144.515 * * [simplify]: Extracting #3: cost 195 inf + 86 144.516 * * [simplify]: Extracting #4: cost 187 inf + 1215 144.518 * * [simplify]: Extracting #5: cost 137 inf + 11621 144.526 * * [simplify]: Extracting #6: cost 48 inf + 64325 144.551 * * [simplify]: Extracting #7: cost 1 inf + 98423 144.568 * * [simplify]: Extracting #8: cost 0 inf + 98696 144.582 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)) 144.582 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))) 144.582 * * * * [progress]: [ 216 / 307 ] simplifiying candidate # 144.582 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 144.582 * * [simplify]: iters left: 3 (5 enodes) 144.585 * * [simplify]: iters left: 2 (17 enodes) 144.588 * * [simplify]: iters left: 1 (19 enodes) 144.591 * * [simplify]: Extracting #0: cost 1 inf + 0 144.591 * * [simplify]: Extracting #1: cost 4 inf + 0 144.591 * * [simplify]: Extracting #2: cost 5 inf + 1 144.591 * * [simplify]: Extracting #3: cost 0 inf + 248 144.591 * [simplify]: Simplified to (/ 1 (sqrt k)) 144.591 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 144.591 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.591 * * [simplify]: iters left: 6 (13 enodes) 144.595 * * [simplify]: iters left: 5 (56 enodes) 144.606 * * [simplify]: iters left: 4 (91 enodes) 144.633 * * [simplify]: iters left: 3 (132 enodes) 144.658 * * [simplify]: iters left: 2 (220 enodes) 144.739 * * [simplify]: iters left: 1 (428 enodes) 144.972 * * [simplify]: Extracting #0: cost 1 inf + 0 144.972 * * [simplify]: Extracting #1: cost 48 inf + 0 144.974 * * [simplify]: Extracting #2: cost 182 inf + 2 144.975 * * [simplify]: Extracting #3: cost 237 inf + 218 144.978 * * [simplify]: Extracting #4: cost 216 inf + 2342 144.991 * * [simplify]: Extracting #5: cost 103 inf + 49334 145.032 * * [simplify]: Extracting #6: cost 8 inf + 121415 145.091 * * [simplify]: Extracting #7: cost 0 inf + 121630 145.145 * * [simplify]: Extracting #8: cost 0 inf + 119162 145.199 * * [simplify]: Extracting #9: cost 0 inf + 119031 145.250 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 145.250 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.250 * * * * [progress]: [ 217 / 307 ] simplifiying candidate # 145.251 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 145.251 * * [simplify]: iters left: 6 (13 enodes) 145.257 * * [simplify]: iters left: 5 (51 enodes) 145.273 * * [simplify]: iters left: 4 (88 enodes) 145.310 * * [simplify]: iters left: 3 (155 enodes) 145.354 * * [simplify]: iters left: 2 (306 enodes) 145.475 * * [simplify]: Extracting #0: cost 1 inf + 0 145.476 * * [simplify]: Extracting #1: cost 40 inf + 0 145.476 * * [simplify]: Extracting #2: cost 108 inf + 1 145.477 * * [simplify]: Extracting #3: cost 107 inf + 255 145.478 * * [simplify]: Extracting #4: cost 102 inf + 679 145.482 * * [simplify]: Extracting #5: cost 51 inf + 23537 145.488 * * [simplify]: Extracting #6: cost 0 inf + 53661 145.495 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 145.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 145.495 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 145.496 * * [simplify]: iters left: 6 (11 enodes) 145.499 * * [simplify]: iters left: 5 (42 enodes) 145.507 * * [simplify]: iters left: 4 (66 enodes) 145.524 * * [simplify]: iters left: 3 (101 enodes) 145.562 * * [simplify]: iters left: 2 (171 enodes) 145.597 * * [simplify]: iters left: 1 (319 enodes) 145.701 * * [simplify]: Extracting #0: cost 1 inf + 0 145.701 * * [simplify]: Extracting #1: cost 6 inf + 0 145.701 * * [simplify]: Extracting #2: cost 38 inf + 1 145.702 * * [simplify]: Extracting #3: cost 127 inf + 2 145.703 * * [simplify]: Extracting #4: cost 156 inf + 177 145.708 * * [simplify]: Extracting #5: cost 89 inf + 15817 145.727 * * [simplify]: Extracting #6: cost 12 inf + 49508 145.753 * * [simplify]: Extracting #7: cost 0 inf + 56041 145.779 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 145.779 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 145.779 * * * * [progress]: [ 218 / 307 ] simplifiying candidate # 145.779 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.779 * * [simplify]: iters left: 6 (15 enodes) 145.785 * * [simplify]: iters left: 5 (62 enodes) 145.796 * * [simplify]: iters left: 4 (99 enodes) 145.812 * * [simplify]: iters left: 3 (143 enodes) 145.855 * * [simplify]: iters left: 2 (222 enodes) 145.935 * * [simplify]: iters left: 1 (384 enodes) 146.088 * * [simplify]: Extracting #0: cost 1 inf + 0 146.088 * * [simplify]: Extracting #1: cost 6 inf + 0 146.088 * * [simplify]: Extracting #2: cost 9 inf + 1 146.088 * * [simplify]: Extracting #3: cost 14 inf + 1 146.088 * * [simplify]: Extracting #4: cost 43 inf + 1 146.089 * * [simplify]: Extracting #5: cost 128 inf + 3 146.090 * * [simplify]: Extracting #6: cost 157 inf + 468 146.095 * * [simplify]: Extracting #7: cost 98 inf + 19153 146.106 * * [simplify]: Extracting #8: cost 13 inf + 66916 146.120 * * [simplify]: Extracting #9: cost 0 inf + 73748 146.143 * * [simplify]: Extracting #10: cost 0 inf + 71275 146.157 * * [simplify]: Extracting #11: cost 0 inf + 70865 146.175 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))) 146.175 * [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))))))) 146.176 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.176 * * [simplify]: iters left: 6 (14 enodes) 146.184 * * [simplify]: iters left: 5 (57 enodes) 146.198 * * [simplify]: iters left: 4 (92 enodes) 146.213 * * [simplify]: iters left: 3 (132 enodes) 146.247 * * [simplify]: iters left: 2 (206 enodes) 146.291 * * [simplify]: iters left: 1 (376 enodes) 146.438 * * [simplify]: Extracting #0: cost 1 inf + 0 146.438 * * [simplify]: Extracting #1: cost 4 inf + 0 146.438 * * [simplify]: Extracting #2: cost 5 inf + 1 146.438 * * [simplify]: Extracting #3: cost 10 inf + 1 146.438 * * [simplify]: Extracting #4: cost 40 inf + 1 146.439 * * [simplify]: Extracting #5: cost 131 inf + 3 146.439 * * [simplify]: Extracting #6: cost 161 inf + 386 146.441 * * [simplify]: Extracting #7: cost 108 inf + 10823 146.450 * * [simplify]: Extracting #8: cost 19 inf + 59633 146.464 * * [simplify]: Extracting #9: cost 0 inf + 71978 146.496 * * [simplify]: Extracting #10: cost 0 inf + 68928 146.527 * * [simplify]: Extracting #11: cost 0 inf + 68666 146.558 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 146.558 * [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)))))))) 146.558 * * * * [progress]: [ 219 / 307 ] simplifiying candidate # 146.559 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.559 * * [simplify]: iters left: 6 (14 enodes) 146.567 * * [simplify]: iters left: 5 (57 enodes) 146.578 * * [simplify]: iters left: 4 (92 enodes) 146.594 * * [simplify]: iters left: 3 (132 enodes) 146.626 * * [simplify]: iters left: 2 (206 enodes) 146.701 * * [simplify]: iters left: 1 (376 enodes) 146.889 * * [simplify]: Extracting #0: cost 1 inf + 0 146.889 * * [simplify]: Extracting #1: cost 4 inf + 0 146.889 * * [simplify]: Extracting #2: cost 5 inf + 1 146.889 * * [simplify]: Extracting #3: cost 10 inf + 1 146.889 * * [simplify]: Extracting #4: cost 40 inf + 1 146.890 * * [simplify]: Extracting #5: cost 131 inf + 3 146.891 * * [simplify]: Extracting #6: cost 161 inf + 386 146.895 * * [simplify]: Extracting #7: cost 108 inf + 10823 146.912 * * [simplify]: Extracting #8: cost 19 inf + 59513 146.927 * * [simplify]: Extracting #9: cost 0 inf + 71818 146.945 * * [simplify]: Extracting #10: cost 0 inf + 68768 146.976 * * [simplify]: Extracting #11: cost 0 inf + 68506 146.995 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 146.995 * [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))))))) 146.995 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 146.995 * * [simplify]: iters left: 6 (14 enodes) 146.999 * * [simplify]: iters left: 5 (57 enodes) 147.010 * * [simplify]: iters left: 4 (92 enodes) 147.041 * * [simplify]: iters left: 3 (132 enodes) 147.084 * * [simplify]: iters left: 2 (206 enodes) 147.158 * * [simplify]: iters left: 1 (376 enodes) 147.319 * * [simplify]: Extracting #0: cost 1 inf + 0 147.319 * * [simplify]: Extracting #1: cost 4 inf + 0 147.319 * * [simplify]: Extracting #2: cost 5 inf + 1 147.319 * * [simplify]: Extracting #3: cost 10 inf + 1 147.319 * * [simplify]: Extracting #4: cost 40 inf + 1 147.320 * * [simplify]: Extracting #5: cost 131 inf + 3 147.321 * * [simplify]: Extracting #6: cost 161 inf + 386 147.325 * * [simplify]: Extracting #7: cost 108 inf + 10823 147.336 * * [simplify]: Extracting #8: cost 19 inf + 59513 147.350 * * [simplify]: Extracting #9: cost 0 inf + 71818 147.367 * * [simplify]: Extracting #10: cost 0 inf + 68768 147.386 * * [simplify]: Extracting #11: cost 0 inf + 68506 147.407 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 147.408 * [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)))))))) 147.408 * * * * [progress]: [ 220 / 307 ] simplifiying candidate # 147.408 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 147.408 * * [simplify]: iters left: 6 (12 enodes) 147.415 * * [simplify]: iters left: 5 (51 enodes) 147.428 * * [simplify]: iters left: 4 (95 enodes) 147.446 * * [simplify]: iters left: 3 (184 enodes) 147.506 * * [simplify]: iters left: 2 (433 enodes) 147.722 * * [simplify]: Extracting #0: cost 1 inf + 0 147.722 * * [simplify]: Extracting #1: cost 92 inf + 0 147.723 * * [simplify]: Extracting #2: cost 257 inf + 1 147.724 * * [simplify]: Extracting #3: cost 310 inf + 4 147.726 * * [simplify]: Extracting #4: cost 273 inf + 10674 147.734 * * [simplify]: Extracting #5: cost 150 inf + 67997 147.760 * * [simplify]: Extracting #6: cost 29 inf + 156372 147.795 * * [simplify]: Extracting #7: cost 0 inf + 176537 147.832 * * [simplify]: Extracting #8: cost 0 inf + 176275 147.861 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 147.861 * [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)))))) 147.862 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 147.862 * * [simplify]: iters left: 6 (12 enodes) 147.869 * * [simplify]: iters left: 5 (50 enodes) 147.886 * * [simplify]: iters left: 4 (84 enodes) 147.907 * * [simplify]: iters left: 3 (138 enodes) 147.945 * * [simplify]: iters left: 2 (280 enodes) 148.050 * * [simplify]: Extracting #0: cost 1 inf + 0 148.050 * * [simplify]: Extracting #1: cost 49 inf + 0 148.051 * * [simplify]: Extracting #2: cost 133 inf + 1 148.052 * * [simplify]: Extracting #3: cost 177 inf + 3 148.054 * * [simplify]: Extracting #4: cost 172 inf + 962 148.057 * * [simplify]: Extracting #5: cost 132 inf + 7689 148.065 * * [simplify]: Extracting #6: cost 79 inf + 29560 148.076 * * [simplify]: Extracting #7: cost 14 inf + 75836 148.088 * * [simplify]: Extracting #8: cost 0 inf + 84622 148.100 * * [simplify]: Extracting #9: cost 0 inf + 84371 148.122 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 148.122 * [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))))) 148.123 * * * * [progress]: [ 221 / 307 ] simplifiying candidate # 148.123 * [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)))))) 148.123 * * [simplify]: iters left: 6 (17 enodes) 148.133 * * [simplify]: iters left: 5 (74 enodes) 148.160 * * [simplify]: iters left: 4 (132 enodes) 148.183 * * [simplify]: iters left: 3 (206 enodes) 148.256 * * [simplify]: iters left: 2 (343 enodes) 148.367 * * [simplify]: Extracting #0: cost 1 inf + 0 148.367 * * [simplify]: Extracting #1: cost 17 inf + 0 148.367 * * [simplify]: Extracting #2: cost 31 inf + 1 148.367 * * [simplify]: Extracting #3: cost 46 inf + 1 148.368 * * [simplify]: Extracting #4: cost 91 inf + 3 148.368 * * [simplify]: Extracting #5: cost 110 inf + 1232 148.370 * * [simplify]: Extracting #6: cost 56 inf + 13386 148.380 * * [simplify]: Extracting #7: cost 11 inf + 31953 148.396 * * [simplify]: Extracting #8: cost 0 inf + 39885 148.408 * * [simplify]: Extracting #9: cost 0 inf + 39754 148.421 * [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)))) 148.421 * [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))))))) 148.421 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.422 * * [simplify]: iters left: 6 (15 enodes) 148.430 * * [simplify]: iters left: 5 (62 enodes) 148.451 * * [simplify]: iters left: 4 (96 enodes) 148.481 * * [simplify]: iters left: 3 (136 enodes) 148.527 * * [simplify]: iters left: 2 (234 enodes) 148.584 * * [simplify]: iters left: 1 (389 enodes) 148.761 * * [simplify]: Extracting #0: cost 1 inf + 0 148.761 * * [simplify]: Extracting #1: cost 7 inf + 0 148.761 * * [simplify]: Extracting #2: cost 12 inf + 1 148.762 * * [simplify]: Extracting #3: cost 36 inf + 1 148.762 * * [simplify]: Extracting #4: cost 107 inf + 3 148.764 * * [simplify]: Extracting #5: cost 154 inf + 834 148.769 * * [simplify]: Extracting #6: cost 82 inf + 19979 148.776 * * [simplify]: Extracting #7: cost 22 inf + 45168 148.785 * * [simplify]: Extracting #8: cost 0 inf + 61999 148.794 * * [simplify]: Extracting #9: cost 0 inf + 60785 148.809 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 148.809 * [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))))) 148.809 * * * * [progress]: [ 222 / 307 ] simplifiying candidate # 148.810 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.810 * * [simplify]: iters left: 6 (16 enodes) 148.818 * * [simplify]: iters left: 5 (67 enodes) 148.840 * * [simplify]: iters left: 4 (109 enodes) 148.880 * * [simplify]: iters left: 3 (165 enodes) 148.926 * * [simplify]: iters left: 2 (279 enodes) 149.004 * * [simplify]: iters left: 1 (442 enodes) 149.141 * * [simplify]: Extracting #0: cost 1 inf + 0 149.142 * * [simplify]: Extracting #1: cost 11 inf + 0 149.142 * * [simplify]: Extracting #2: cost 21 inf + 1 149.142 * * [simplify]: Extracting #3: cost 46 inf + 1 149.143 * * [simplify]: Extracting #4: cost 122 inf + 3 149.145 * * [simplify]: Extracting #5: cost 136 inf + 2267 149.151 * * [simplify]: Extracting #6: cost 70 inf + 20030 149.167 * * [simplify]: Extracting #7: cost 2 inf + 57613 149.185 * * [simplify]: Extracting #8: cost 0 inf + 59227 149.207 * * [simplify]: Extracting #9: cost 0 inf + 59188 149.226 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.226 * [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))))))) 149.226 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.227 * * [simplify]: iters left: 6 (15 enodes) 149.235 * * [simplify]: iters left: 5 (62 enodes) 149.253 * * [simplify]: iters left: 4 (97 enodes) 149.269 * * [simplify]: iters left: 3 (140 enodes) 149.295 * * [simplify]: iters left: 2 (244 enodes) 149.340 * * [simplify]: iters left: 1 (411 enodes) 149.442 * * [simplify]: Extracting #0: cost 1 inf + 0 149.442 * * [simplify]: Extracting #1: cost 7 inf + 0 149.442 * * [simplify]: Extracting #2: cost 13 inf + 1 149.442 * * [simplify]: Extracting #3: cost 40 inf + 1 149.443 * * [simplify]: Extracting #4: cost 122 inf + 3 149.443 * * [simplify]: Extracting #5: cost 149 inf + 1659 149.446 * * [simplify]: Extracting #6: cost 77 inf + 18732 149.455 * * [simplify]: Extracting #7: cost 15 inf + 50045 149.465 * * [simplify]: Extracting #8: cost 0 inf + 58256 149.475 * * [simplify]: Extracting #9: cost 0 inf + 57889 149.486 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 149.486 * [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))))) 149.486 * * * * [progress]: [ 223 / 307 ] simplifiying candidate # 149.486 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 149.487 * * [simplify]: iters left: 6 (7 enodes) 149.489 * * [simplify]: iters left: 5 (25 enodes) 149.496 * * [simplify]: iters left: 4 (38 enodes) 149.507 * * [simplify]: iters left: 3 (41 enodes) 149.517 * * [simplify]: iters left: 2 (42 enodes) 149.527 * * [simplify]: Extracting #0: cost 1 inf + 0 149.527 * * [simplify]: Extracting #1: cost 6 inf + 0 149.527 * * [simplify]: Extracting #2: cost 9 inf + 1 149.527 * * [simplify]: Extracting #3: cost 11 inf + 1 149.527 * * [simplify]: Extracting #4: cost 10 inf + 2 149.527 * * [simplify]: Extracting #5: cost 2 inf + 1093 149.528 * * [simplify]: Extracting #6: cost 0 inf + 1376 149.528 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.528 * [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)))))) 149.529 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 149.529 * * [simplify]: iters left: 6 (14 enodes) 149.537 * * [simplify]: iters left: 5 (59 enodes) 149.561 * * [simplify]: iters left: 4 (101 enodes) 149.586 * * [simplify]: iters left: 3 (156 enodes) 149.617 * * [simplify]: iters left: 2 (296 enodes) 149.700 * * [simplify]: Extracting #0: cost 1 inf + 0 149.700 * * [simplify]: Extracting #1: cost 50 inf + 0 149.700 * * [simplify]: Extracting #2: cost 127 inf + 1 149.701 * * [simplify]: Extracting #3: cost 176 inf + 3 149.702 * * [simplify]: Extracting #4: cost 172 inf + 755 149.703 * * [simplify]: Extracting #5: cost 125 inf + 10920 149.709 * * [simplify]: Extracting #6: cost 59 inf + 40958 149.723 * * [simplify]: Extracting #7: cost 2 inf + 88007 149.735 * * [simplify]: Extracting #8: cost 0 inf + 90112 149.747 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 149.747 * [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))))) 149.747 * * * * [progress]: [ 224 / 307 ] simplifiying candidate # 149.748 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 149.748 * * [simplify]: iters left: 6 (16 enodes) 149.753 * * [simplify]: iters left: 5 (70 enodes) 149.767 * * [simplify]: iters left: 4 (125 enodes) 149.809 * * [simplify]: iters left: 3 (234 enodes) 149.865 * * [simplify]: Extracting #0: cost 1 inf + 0 149.865 * * [simplify]: Extracting #1: cost 32 inf + 0 149.866 * * [simplify]: Extracting #2: cost 100 inf + 1 149.867 * * [simplify]: Extracting #3: cost 144 inf + 2 149.868 * * [simplify]: Extracting #4: cost 141 inf + 951 149.871 * * [simplify]: Extracting #5: cost 87 inf + 11520 149.883 * * [simplify]: Extracting #6: cost 17 inf + 44406 149.900 * * [simplify]: Extracting #7: cost 1 inf + 55954 149.919 * * [simplify]: Extracting #8: cost 0 inf + 56781 149.927 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.927 * [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)))))) 149.927 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 149.928 * * [simplify]: iters left: 6 (15 enodes) 149.932 * * [simplify]: iters left: 5 (65 enodes) 149.943 * * [simplify]: iters left: 4 (107 enodes) 149.977 * * [simplify]: iters left: 3 (174 enodes) 150.047 * * [simplify]: iters left: 2 (348 enodes) 150.190 * * [simplify]: Extracting #0: cost 1 inf + 0 150.190 * * [simplify]: Extracting #1: cost 41 inf + 0 150.190 * * [simplify]: Extracting #2: cost 116 inf + 1 150.191 * * [simplify]: Extracting #3: cost 175 inf + 3 150.191 * * [simplify]: Extracting #4: cost 182 inf + 590 150.194 * * [simplify]: Extracting #5: cost 123 inf + 14009 150.200 * * [simplify]: Extracting #6: cost 61 inf + 38689 150.211 * * [simplify]: Extracting #7: cost 15 inf + 74561 150.223 * * [simplify]: Extracting #8: cost 0 inf + 87106 150.242 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 150.243 * [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))))) 150.243 * * * * [progress]: [ 225 / 307 ] simplifiying candidate # 150.243 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 150.243 * * [simplify]: iters left: 6 (12 enodes) 150.253 * * [simplify]: iters left: 5 (50 enodes) 150.264 * * [simplify]: iters left: 4 (84 enodes) 150.278 * * [simplify]: iters left: 3 (134 enodes) 150.318 * * [simplify]: iters left: 2 (271 enodes) 150.441 * * [simplify]: Extracting #0: cost 1 inf + 0 150.441 * * [simplify]: Extracting #1: cost 46 inf + 0 150.441 * * [simplify]: Extracting #2: cost 131 inf + 1 150.442 * * [simplify]: Extracting #3: cost 174 inf + 4 150.443 * * [simplify]: Extracting #4: cost 168 inf + 1205 150.444 * * [simplify]: Extracting #5: cost 128 inf + 7233 150.450 * * [simplify]: Extracting #6: cost 39 inf + 55303 150.461 * * [simplify]: Extracting #7: cost 1 inf + 81600 150.485 * * [simplify]: Extracting #8: cost 0 inf + 81249 150.505 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 150.505 * [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)))))) 150.506 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 150.506 * * [simplify]: iters left: 6 (12 enodes) 150.513 * * [simplify]: iters left: 5 (50 enodes) 150.527 * * [simplify]: iters left: 4 (84 enodes) 150.541 * * [simplify]: iters left: 3 (138 enodes) 150.569 * * [simplify]: iters left: 2 (280 enodes) 150.702 * * [simplify]: Extracting #0: cost 1 inf + 0 150.703 * * [simplify]: Extracting #1: cost 49 inf + 0 150.703 * * [simplify]: Extracting #2: cost 133 inf + 1 150.704 * * [simplify]: Extracting #3: cost 177 inf + 3 150.705 * * [simplify]: Extracting #4: cost 172 inf + 1002 150.709 * * [simplify]: Extracting #5: cost 132 inf + 7769 150.716 * * [simplify]: Extracting #6: cost 79 inf + 29640 150.734 * * [simplify]: Extracting #7: cost 14 inf + 75916 150.756 * * [simplify]: Extracting #8: cost 0 inf + 84702 150.779 * * [simplify]: Extracting #9: cost 0 inf + 84451 150.802 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 150.802 * [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))))) 150.802 * * * * [progress]: [ 226 / 307 ] simplifiying candidate # 150.802 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 150.803 * * [simplify]: iters left: 6 (17 enodes) 150.811 * * [simplify]: iters left: 5 (71 enodes) 150.823 * * [simplify]: iters left: 4 (111 enodes) 150.848 * * [simplify]: iters left: 3 (162 enodes) 150.904 * * [simplify]: iters left: 2 (268 enodes) 150.974 * * [simplify]: iters left: 1 (434 enodes) 151.135 * * [simplify]: Extracting #0: cost 1 inf + 0 151.135 * * [simplify]: Extracting #1: cost 10 inf + 0 151.136 * * [simplify]: Extracting #2: cost 19 inf + 1 151.136 * * [simplify]: Extracting #3: cost 45 inf + 1 151.137 * * [simplify]: Extracting #4: cost 113 inf + 3 151.138 * * [simplify]: Extracting #5: cost 163 inf + 1033 151.142 * * [simplify]: Extracting #6: cost 96 inf + 11118 151.155 * * [simplify]: Extracting #7: cost 30 inf + 37935 151.179 * * [simplify]: Extracting #8: cost 1 inf + 63904 151.200 * * [simplify]: Extracting #9: cost 0 inf + 62341 151.222 * * [simplify]: Extracting #10: cost 0 inf + 61441 151.243 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 151.244 * [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))))))) 151.244 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.244 * * [simplify]: iters left: 6 (15 enodes) 151.253 * * [simplify]: iters left: 5 (62 enodes) 151.273 * * [simplify]: iters left: 4 (96 enodes) 151.303 * * [simplify]: iters left: 3 (136 enodes) 151.355 * * [simplify]: iters left: 2 (234 enodes) 151.407 * * [simplify]: iters left: 1 (389 enodes) 151.552 * * [simplify]: Extracting #0: cost 1 inf + 0 151.552 * * [simplify]: Extracting #1: cost 7 inf + 0 151.552 * * [simplify]: Extracting #2: cost 12 inf + 1 151.552 * * [simplify]: Extracting #3: cost 36 inf + 1 151.553 * * [simplify]: Extracting #4: cost 107 inf + 3 151.554 * * [simplify]: Extracting #5: cost 154 inf + 874 151.559 * * [simplify]: Extracting #6: cost 82 inf + 20059 151.573 * * [simplify]: Extracting #7: cost 22 inf + 45248 151.591 * * [simplify]: Extracting #8: cost 0 inf + 62079 151.609 * * [simplify]: Extracting #9: cost 0 inf + 60865 151.627 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 151.627 * [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))))) 151.627 * * * * [progress]: [ 227 / 307 ] simplifiying candidate # 151.628 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.628 * * [simplify]: iters left: 6 (16 enodes) 151.637 * * [simplify]: iters left: 5 (66 enodes) 151.648 * * [simplify]: iters left: 4 (101 enodes) 151.668 * * [simplify]: iters left: 3 (144 enodes) 151.694 * * [simplify]: iters left: 2 (245 enodes) 151.739 * * [simplify]: iters left: 1 (397 enodes) 151.854 * * [simplify]: Extracting #0: cost 1 inf + 0 151.854 * * [simplify]: Extracting #1: cost 7 inf + 0 151.854 * * [simplify]: Extracting #2: cost 14 inf + 1 151.854 * * [simplify]: Extracting #3: cost 45 inf + 1 151.855 * * [simplify]: Extracting #4: cost 122 inf + 3 151.856 * * [simplify]: Extracting #5: cost 161 inf + 1825 151.858 * * [simplify]: Extracting #6: cost 78 inf + 16547 151.866 * * [simplify]: Extracting #7: cost 14 inf + 50503 151.875 * * [simplify]: Extracting #8: cost 0 inf + 63542 151.885 * * [simplify]: Extracting #9: cost 0 inf + 63332 151.908 * * [simplify]: Extracting #10: cost 0 inf + 62953 151.926 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 151.926 * [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))))))) 151.927 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.927 * * [simplify]: iters left: 6 (15 enodes) 151.935 * * [simplify]: iters left: 5 (62 enodes) 151.956 * * [simplify]: iters left: 4 (97 enodes) 151.980 * * [simplify]: iters left: 3 (140 enodes) 152.012 * * [simplify]: iters left: 2 (244 enodes) 152.076 * * [simplify]: iters left: 1 (411 enodes) 152.246 * * [simplify]: Extracting #0: cost 1 inf + 0 152.246 * * [simplify]: Extracting #1: cost 7 inf + 0 152.246 * * [simplify]: Extracting #2: cost 13 inf + 1 152.246 * * [simplify]: Extracting #3: cost 40 inf + 1 152.247 * * [simplify]: Extracting #4: cost 122 inf + 3 152.249 * * [simplify]: Extracting #5: cost 149 inf + 1699 152.252 * * [simplify]: Extracting #6: cost 77 inf + 18812 152.261 * * [simplify]: Extracting #7: cost 15 inf + 50125 152.271 * * [simplify]: Extracting #8: cost 0 inf + 58336 152.282 * * [simplify]: Extracting #9: cost 0 inf + 57969 152.303 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 152.303 * [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))))) 152.303 * * * * [progress]: [ 228 / 307 ] simplifiying candidate # 152.303 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 152.303 * * [simplify]: iters left: 6 (7 enodes) 152.307 * * [simplify]: iters left: 5 (23 enodes) 152.315 * * [simplify]: iters left: 4 (29 enodes) 152.323 * * [simplify]: Extracting #0: cost 1 inf + 0 152.323 * * [simplify]: Extracting #1: cost 4 inf + 0 152.323 * * [simplify]: Extracting #2: cost 6 inf + 1 152.323 * * [simplify]: Extracting #3: cost 9 inf + 1 152.323 * * [simplify]: Extracting #4: cost 8 inf + 2 152.323 * * [simplify]: Extracting #5: cost 2 inf + 689 152.323 * * [simplify]: Extracting #6: cost 0 inf + 972 152.324 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 152.324 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 152.324 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 152.324 * * [simplify]: iters left: 6 (14 enodes) 152.329 * * [simplify]: iters left: 5 (59 enodes) 152.340 * * [simplify]: iters left: 4 (101 enodes) 152.364 * * [simplify]: iters left: 3 (156 enodes) 152.398 * * [simplify]: iters left: 2 (296 enodes) 152.486 * * [simplify]: Extracting #0: cost 1 inf + 0 152.486 * * [simplify]: Extracting #1: cost 50 inf + 0 152.487 * * [simplify]: Extracting #2: cost 127 inf + 1 152.488 * * [simplify]: Extracting #3: cost 176 inf + 3 152.489 * * [simplify]: Extracting #4: cost 172 inf + 795 152.492 * * [simplify]: Extracting #5: cost 125 inf + 11000 152.503 * * [simplify]: Extracting #6: cost 59 inf + 41038 152.526 * * [simplify]: Extracting #7: cost 2 inf + 88087 152.554 * * [simplify]: Extracting #8: cost 0 inf + 90192 152.576 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 152.576 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 152.576 * * * * [progress]: [ 229 / 307 ] simplifiying candidate # 152.577 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 152.577 * * [simplify]: iters left: 6 (16 enodes) 152.581 * * [simplify]: iters left: 5 (69 enodes) 152.593 * * [simplify]: iters left: 4 (111 enodes) 152.614 * * [simplify]: iters left: 3 (178 enodes) 152.666 * * [simplify]: iters left: 2 (351 enodes) 152.771 * * [simplify]: Extracting #0: cost 1 inf + 0 152.771 * * [simplify]: Extracting #1: cost 38 inf + 0 152.772 * * [simplify]: Extracting #2: cost 117 inf + 1 152.773 * * [simplify]: Extracting #3: cost 174 inf + 3 152.774 * * [simplify]: Extracting #4: cost 172 inf + 960 152.778 * * [simplify]: Extracting #5: cost 119 inf + 11373 152.790 * * [simplify]: Extracting #6: cost 39 inf + 51012 152.805 * * [simplify]: Extracting #7: cost 1 inf + 79527 152.822 * * [simplify]: Extracting #8: cost 0 inf + 79052 152.855 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 152.855 * [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)))))) 152.856 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 152.856 * * [simplify]: iters left: 6 (15 enodes) 152.865 * * [simplify]: iters left: 5 (65 enodes) 152.881 * * [simplify]: iters left: 4 (107 enodes) 152.900 * * [simplify]: iters left: 3 (174 enodes) 152.950 * * [simplify]: iters left: 2 (348 enodes) 153.054 * * [simplify]: Extracting #0: cost 1 inf + 0 153.054 * * [simplify]: Extracting #1: cost 41 inf + 0 153.055 * * [simplify]: Extracting #2: cost 116 inf + 1 153.056 * * [simplify]: Extracting #3: cost 175 inf + 3 153.057 * * [simplify]: Extracting #4: cost 182 inf + 630 153.062 * * [simplify]: Extracting #5: cost 123 inf + 14089 153.073 * * [simplify]: Extracting #6: cost 61 inf + 38769 153.095 * * [simplify]: Extracting #7: cost 15 inf + 74641 153.121 * * [simplify]: Extracting #8: cost 0 inf + 87186 153.148 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 153.148 * [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))))) 153.148 * * * * [progress]: [ 230 / 307 ] simplifiying candidate # 153.149 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 153.149 * * [simplify]: iters left: 6 (11 enodes) 153.153 * * [simplify]: iters left: 5 (46 enodes) 153.161 * * [simplify]: iters left: 4 (76 enodes) 153.178 * * [simplify]: iters left: 3 (131 enodes) 153.212 * * [simplify]: iters left: 2 (288 enodes) 153.319 * * [simplify]: Extracting #0: cost 1 inf + 0 153.320 * * [simplify]: Extracting #1: cost 48 inf + 0 153.320 * * [simplify]: Extracting #2: cost 125 inf + 1 153.320 * * [simplify]: Extracting #3: cost 169 inf + 4 153.321 * * [simplify]: Extracting #4: cost 158 inf + 1257 153.325 * * [simplify]: Extracting #5: cost 107 inf + 13010 153.339 * * [simplify]: Extracting #6: cost 13 inf + 64399 153.353 * * [simplify]: Extracting #7: cost 0 inf + 75048 153.367 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 153.367 * [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)))))) 153.367 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 153.367 * * [simplify]: iters left: 6 (12 enodes) 153.371 * * [simplify]: iters left: 5 (50 enodes) 153.380 * * [simplify]: iters left: 4 (84 enodes) 153.395 * * [simplify]: iters left: 3 (138 enodes) 153.427 * * [simplify]: iters left: 2 (280 enodes) 153.533 * * [simplify]: Extracting #0: cost 1 inf + 0 153.534 * * [simplify]: Extracting #1: cost 49 inf + 0 153.534 * * [simplify]: Extracting #2: cost 133 inf + 1 153.535 * * [simplify]: Extracting #3: cost 177 inf + 3 153.535 * * [simplify]: Extracting #4: cost 172 inf + 882 153.537 * * [simplify]: Extracting #5: cost 132 inf + 7329 153.541 * * [simplify]: Extracting #6: cost 79 inf + 28320 153.552 * * [simplify]: Extracting #7: cost 14 inf + 73196 153.572 * * [simplify]: Extracting #8: cost 0 inf + 81582 153.587 * * [simplify]: Extracting #9: cost 0 inf + 81331 153.598 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 153.598 * [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))))) 153.598 * * * * [progress]: [ 231 / 307 ] simplifiying candidate # 153.598 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 153.598 * * [simplify]: iters left: 6 (16 enodes) 153.603 * * [simplify]: iters left: 5 (67 enodes) 153.621 * * [simplify]: iters left: 4 (107 enodes) 153.645 * * [simplify]: iters left: 3 (155 enodes) 153.683 * * [simplify]: iters left: 2 (256 enodes) 153.741 * * [simplify]: iters left: 1 (413 enodes) 153.876 * * [simplify]: Extracting #0: cost 1 inf + 0 153.876 * * [simplify]: Extracting #1: cost 10 inf + 0 153.876 * * [simplify]: Extracting #2: cost 18 inf + 1 153.876 * * [simplify]: Extracting #3: cost 41 inf + 1 153.876 * * [simplify]: Extracting #4: cost 107 inf + 3 153.877 * * [simplify]: Extracting #5: cost 152 inf + 1002 153.880 * * [simplify]: Extracting #6: cost 77 inf + 18525 153.891 * * [simplify]: Extracting #7: cost 3 inf + 53008 153.906 * * [simplify]: Extracting #8: cost 0 inf + 51576 153.919 * * [simplify]: Extracting #9: cost 0 inf + 51256 153.937 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 153.937 * [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))))))) 153.937 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.937 * * [simplify]: iters left: 6 (15 enodes) 153.946 * * [simplify]: iters left: 5 (62 enodes) 153.972 * * [simplify]: iters left: 4 (96 enodes) 154.002 * * [simplify]: iters left: 3 (136 enodes) 154.050 * * [simplify]: iters left: 2 (234 enodes) 154.131 * * [simplify]: iters left: 1 (389 enodes) 154.296 * * [simplify]: Extracting #0: cost 1 inf + 0 154.296 * * [simplify]: Extracting #1: cost 7 inf + 0 154.296 * * [simplify]: Extracting #2: cost 12 inf + 1 154.296 * * [simplify]: Extracting #3: cost 36 inf + 1 154.296 * * [simplify]: Extracting #4: cost 107 inf + 3 154.297 * * [simplify]: Extracting #5: cost 154 inf + 754 154.300 * * [simplify]: Extracting #6: cost 82 inf + 19699 154.306 * * [simplify]: Extracting #7: cost 22 inf + 44848 154.318 * * [simplify]: Extracting #8: cost 0 inf + 61679 154.340 * * [simplify]: Extracting #9: cost 0 inf + 60465 154.358 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 154.358 * [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))))) 154.358 * * * * [progress]: [ 232 / 307 ] simplifiying candidate # 154.358 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 154.359 * * [simplify]: iters left: 6 (15 enodes) 154.367 * * [simplify]: iters left: 5 (62 enodes) 154.389 * * [simplify]: iters left: 4 (97 enodes) 154.420 * * [simplify]: iters left: 3 (140 enodes) 154.449 * * [simplify]: iters left: 2 (244 enodes) 154.516 * * [simplify]: iters left: 1 (411 enodes) 154.642 * * [simplify]: Extracting #0: cost 1 inf + 0 154.642 * * [simplify]: Extracting #1: cost 7 inf + 0 154.642 * * [simplify]: Extracting #2: cost 13 inf + 1 154.642 * * [simplify]: Extracting #3: cost 40 inf + 1 154.643 * * [simplify]: Extracting #4: cost 122 inf + 3 154.644 * * [simplify]: Extracting #5: cost 149 inf + 1539 154.651 * * [simplify]: Extracting #6: cost 77 inf + 18452 154.667 * * [simplify]: Extracting #7: cost 15 inf + 49725 154.688 * * [simplify]: Extracting #8: cost 0 inf + 57936 154.707 * * [simplify]: Extracting #9: cost 0 inf + 57569 154.718 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 154.718 * [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))))))) 154.718 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 154.719 * * [simplify]: iters left: 6 (15 enodes) 154.723 * * [simplify]: iters left: 5 (62 enodes) 154.734 * * [simplify]: iters left: 4 (97 enodes) 154.767 * * [simplify]: iters left: 3 (140 enodes) 154.800 * * [simplify]: iters left: 2 (244 enodes) 154.857 * * [simplify]: iters left: 1 (411 enodes) 155.033 * * [simplify]: Extracting #0: cost 1 inf + 0 155.033 * * [simplify]: Extracting #1: cost 7 inf + 0 155.033 * * [simplify]: Extracting #2: cost 13 inf + 1 155.033 * * [simplify]: Extracting #3: cost 40 inf + 1 155.034 * * [simplify]: Extracting #4: cost 122 inf + 3 155.036 * * [simplify]: Extracting #5: cost 149 inf + 1539 155.042 * * [simplify]: Extracting #6: cost 77 inf + 18452 155.058 * * [simplify]: Extracting #7: cost 15 inf + 49725 155.078 * * [simplify]: Extracting #8: cost 0 inf + 57936 155.100 * * [simplify]: Extracting #9: cost 0 inf + 57569 155.125 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 155.125 * [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))))) 155.125 * * * * [progress]: [ 233 / 307 ] simplifiying candidate # 155.125 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 155.126 * * [simplify]: iters left: 6 (6 enodes) 155.129 * * [simplify]: iters left: 5 (20 enodes) 155.133 * * [simplify]: iters left: 4 (24 enodes) 155.136 * * [simplify]: Extracting #0: cost 1 inf + 0 155.136 * * [simplify]: Extracting #1: cost 4 inf + 0 155.136 * * [simplify]: Extracting #2: cost 5 inf + 1 155.136 * * [simplify]: Extracting #3: cost 7 inf + 1 155.136 * * [simplify]: Extracting #4: cost 6 inf + 2 155.136 * * [simplify]: Extracting #5: cost 0 inf + 490 155.137 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 155.137 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 155.137 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 155.137 * * [simplify]: iters left: 6 (14 enodes) 155.141 * * [simplify]: iters left: 5 (59 enodes) 155.151 * * [simplify]: iters left: 4 (101 enodes) 155.176 * * [simplify]: iters left: 3 (156 enodes) 155.224 * * [simplify]: iters left: 2 (296 enodes) 155.338 * * [simplify]: Extracting #0: cost 1 inf + 0 155.338 * * [simplify]: Extracting #1: cost 50 inf + 0 155.338 * * [simplify]: Extracting #2: cost 127 inf + 1 155.339 * * [simplify]: Extracting #3: cost 176 inf + 3 155.339 * * [simplify]: Extracting #4: cost 172 inf + 675 155.341 * * [simplify]: Extracting #5: cost 125 inf + 10440 155.346 * * [simplify]: Extracting #6: cost 59 inf + 39438 155.364 * * [simplify]: Extracting #7: cost 2 inf + 84967 155.376 * * [simplify]: Extracting #8: cost 0 inf + 86992 155.389 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.389 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 155.389 * * * * [progress]: [ 234 / 307 ] simplifiying candidate # 155.389 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 155.390 * * [simplify]: iters left: 6 (15 enodes) 155.398 * * [simplify]: iters left: 5 (65 enodes) 155.420 * * [simplify]: iters left: 4 (107 enodes) 155.460 * * [simplify]: iters left: 3 (174 enodes) 155.503 * * [simplify]: iters left: 2 (348 enodes) 155.662 * * [simplify]: Extracting #0: cost 1 inf + 0 155.662 * * [simplify]: Extracting #1: cost 41 inf + 0 155.663 * * [simplify]: Extracting #2: cost 116 inf + 1 155.663 * * [simplify]: Extracting #3: cost 175 inf + 3 155.664 * * [simplify]: Extracting #4: cost 182 inf + 510 155.666 * * [simplify]: Extracting #5: cost 123 inf + 13449 155.672 * * [simplify]: Extracting #6: cost 61 inf + 37289 155.686 * * [simplify]: Extracting #7: cost 15 inf + 72081 155.712 * * [simplify]: Extracting #8: cost 0 inf + 84226 155.737 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 155.737 * [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)))))) 155.737 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 155.738 * * [simplify]: iters left: 6 (15 enodes) 155.747 * * [simplify]: iters left: 5 (65 enodes) 155.760 * * [simplify]: iters left: 4 (107 enodes) 155.780 * * [simplify]: iters left: 3 (174 enodes) 155.826 * * [simplify]: iters left: 2 (348 enodes) 155.967 * * [simplify]: Extracting #0: cost 1 inf + 0 155.967 * * [simplify]: Extracting #1: cost 41 inf + 0 155.967 * * [simplify]: Extracting #2: cost 116 inf + 1 155.968 * * [simplify]: Extracting #3: cost 175 inf + 3 155.969 * * [simplify]: Extracting #4: cost 182 inf + 510 155.972 * * [simplify]: Extracting #5: cost 123 inf + 13449 155.981 * * [simplify]: Extracting #6: cost 61 inf + 37289 155.992 * * [simplify]: Extracting #7: cost 15 inf + 72081 156.005 * * [simplify]: Extracting #8: cost 0 inf + 84226 156.031 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 156.031 * [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))))) 156.032 * * * * [progress]: [ 235 / 307 ] simplifiying candidate # 156.032 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 156.032 * * [simplify]: iters left: 6 (10 enodes) 156.036 * * [simplify]: iters left: 5 (43 enodes) 156.044 * * [simplify]: iters left: 4 (68 enodes) 156.059 * * [simplify]: iters left: 3 (111 enodes) 156.100 * * [simplify]: iters left: 2 (222 enodes) 156.195 * * [simplify]: iters left: 1 (459 enodes) 156.504 * * [simplify]: Extracting #0: cost 1 inf + 0 156.504 * * [simplify]: Extracting #1: cost 47 inf + 0 156.505 * * [simplify]: Extracting #2: cost 186 inf + 3 156.508 * * [simplify]: Extracting #3: cost 232 inf + 8 156.510 * * [simplify]: Extracting #4: cost 227 inf + 473 156.515 * * [simplify]: Extracting #5: cost 175 inf + 7322 156.529 * * [simplify]: Extracting #6: cost 88 inf + 49987 156.561 * * [simplify]: Extracting #7: cost 4 inf + 116548 156.599 * * [simplify]: Extracting #8: cost 0 inf + 114066 156.639 * * [simplify]: Extracting #9: cost 0 inf + 111411 156.681 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 156.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 156.682 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 156.682 * * [simplify]: iters left: 6 (11 enodes) 156.689 * * [simplify]: iters left: 5 (47 enodes) 156.704 * * [simplify]: iters left: 4 (77 enodes) 156.731 * * [simplify]: iters left: 3 (132 enodes) 156.786 * * [simplify]: iters left: 2 (289 enodes) 156.920 * * [simplify]: Extracting #0: cost 1 inf + 0 156.921 * * [simplify]: Extracting #1: cost 41 inf + 0 156.921 * * [simplify]: Extracting #2: cost 121 inf + 1 156.922 * * [simplify]: Extracting #3: cost 164 inf + 168 156.924 * * [simplify]: Extracting #4: cost 158 inf + 1422 156.930 * * [simplify]: Extracting #5: cost 120 inf + 7933 156.938 * * [simplify]: Extracting #6: cost 71 inf + 30056 156.956 * * [simplify]: Extracting #7: cost 7 inf + 73706 156.977 * * [simplify]: Extracting #8: cost 0 inf + 76850 156.990 * * [simplify]: Extracting #9: cost 0 inf + 76730 157.001 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 157.001 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 157.001 * * * * [progress]: [ 236 / 307 ] simplifiying candidate # 157.001 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.001 * * [simplify]: iters left: 6 (15 enodes) 157.006 * * [simplify]: iters left: 5 (64 enodes) 157.018 * * [simplify]: iters left: 4 (106 enodes) 157.035 * * [simplify]: iters left: 3 (153 enodes) 157.064 * * [simplify]: iters left: 2 (231 enodes) 157.139 * * [simplify]: iters left: 1 (399 enodes) 157.322 * * [simplify]: Extracting #0: cost 1 inf + 0 157.322 * * [simplify]: Extracting #1: cost 6 inf + 0 157.322 * * [simplify]: Extracting #2: cost 9 inf + 1 157.323 * * [simplify]: Extracting #3: cost 33 inf + 1 157.323 * * [simplify]: Extracting #4: cost 105 inf + 2 157.324 * * [simplify]: Extracting #5: cost 154 inf + 176 157.326 * * [simplify]: Extracting #6: cost 150 inf + 602 157.330 * * [simplify]: Extracting #7: cost 93 inf + 9906 157.341 * * [simplify]: Extracting #8: cost 29 inf + 39567 157.359 * * [simplify]: Extracting #9: cost 1 inf + 62953 157.377 * * [simplify]: Extracting #10: cost 0 inf + 62004 157.389 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.389 * [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))))))) 157.390 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.390 * * [simplify]: iters left: 6 (14 enodes) 157.394 * * [simplify]: iters left: 5 (59 enodes) 157.407 * * [simplify]: iters left: 4 (97 enodes) 157.439 * * [simplify]: iters left: 3 (135 enodes) 157.463 * * [simplify]: iters left: 2 (215 enodes) 157.533 * * [simplify]: iters left: 1 (375 enodes) 157.652 * * [simplify]: Extracting #0: cost 1 inf + 0 157.652 * * [simplify]: Extracting #1: cost 7 inf + 0 157.652 * * [simplify]: Extracting #2: cost 12 inf + 1 157.652 * * [simplify]: Extracting #3: cost 35 inf + 2 157.652 * * [simplify]: Extracting #4: cost 110 inf + 167 157.653 * * [simplify]: Extracting #5: cost 154 inf + 465 157.655 * * [simplify]: Extracting #6: cost 94 inf + 10883 157.662 * * [simplify]: Extracting #7: cost 16 inf + 48615 157.680 * * [simplify]: Extracting #8: cost 0 inf + 62797 157.697 * * [simplify]: Extracting #9: cost 0 inf + 61202 157.707 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 157.707 * [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)))) 157.707 * * * * [progress]: [ 237 / 307 ] simplifiying candidate # 157.707 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.707 * * [simplify]: iters left: 6 (14 enodes) 157.712 * * [simplify]: iters left: 5 (59 enodes) 157.722 * * [simplify]: iters left: 4 (95 enodes) 157.747 * * [simplify]: iters left: 3 (135 enodes) 157.772 * * [simplify]: iters left: 2 (206 enodes) 157.820 * * [simplify]: iters left: 1 (372 enodes) 157.958 * * [simplify]: Extracting #0: cost 1 inf + 0 157.958 * * [simplify]: Extracting #1: cost 6 inf + 0 157.958 * * [simplify]: Extracting #2: cost 32 inf + 1 157.958 * * [simplify]: Extracting #3: cost 127 inf + 2 157.959 * * [simplify]: Extracting #4: cost 166 inf + 177 157.960 * * [simplify]: Extracting #5: cost 163 inf + 478 157.961 * * [simplify]: Extracting #6: cost 106 inf + 6261 157.965 * * [simplify]: Extracting #7: cost 59 inf + 20160 157.973 * * [simplify]: Extracting #8: cost 5 inf + 64501 157.982 * * [simplify]: Extracting #9: cost 0 inf + 67915 157.994 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 157.994 * [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))))))) 157.994 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.994 * * [simplify]: iters left: 6 (14 enodes) 158.002 * * [simplify]: iters left: 5 (59 enodes) 158.023 * * [simplify]: iters left: 4 (98 enodes) 158.040 * * [simplify]: iters left: 3 (136 enodes) 158.071 * * [simplify]: iters left: 2 (217 enodes) 158.120 * * [simplify]: iters left: 1 (385 enodes) 158.262 * * [simplify]: Extracting #0: cost 1 inf + 0 158.262 * * [simplify]: Extracting #1: cost 7 inf + 0 158.262 * * [simplify]: Extracting #2: cost 13 inf + 1 158.262 * * [simplify]: Extracting #3: cost 38 inf + 2 158.263 * * [simplify]: Extracting #4: cost 120 inf + 167 158.264 * * [simplify]: Extracting #5: cost 155 inf + 590 158.270 * * [simplify]: Extracting #6: cost 84 inf + 21700 158.279 * * [simplify]: Extracting #7: cost 10 inf + 57768 158.289 * * [simplify]: Extracting #8: cost 0 inf + 63114 158.300 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 158.300 * [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)))) 158.300 * * * * [progress]: [ 238 / 307 ] simplifiying candidate # 158.301 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 158.301 * * [simplify]: iters left: 5 (4 enodes) 158.308 * * [simplify]: iters left: 4 (14 enodes) 158.311 * * [simplify]: iters left: 3 (16 enodes) 158.315 * * [simplify]: Extracting #0: cost 1 inf + 0 158.315 * * [simplify]: Extracting #1: cost 0 inf + 1 158.315 * [simplify]: Simplified to 1 158.315 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 158.315 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.315 * * [simplify]: iters left: 6 (13 enodes) 158.324 * * [simplify]: iters left: 5 (56 enodes) 158.683 * * [simplify]: iters left: 4 (98 enodes) 158.714 * * [simplify]: iters left: 3 (153 enodes) 158.772 * * [simplify]: iters left: 2 (293 enodes) 158.887 * * [simplify]: Extracting #0: cost 1 inf + 0 158.887 * * [simplify]: Extracting #1: cost 50 inf + 0 158.888 * * [simplify]: Extracting #2: cost 126 inf + 1 158.888 * * [simplify]: Extracting #3: cost 168 inf + 127 158.889 * * [simplify]: Extracting #4: cost 164 inf + 1004 158.892 * * [simplify]: Extracting #5: cost 108 inf + 17323 158.908 * * [simplify]: Extracting #6: cost 24 inf + 65407 158.928 * * [simplify]: Extracting #7: cost 0 inf + 83227 158.941 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 158.941 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 158.941 * * * * [progress]: [ 239 / 307 ] simplifiying candidate # 158.941 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 158.942 * * [simplify]: iters left: 6 (14 enodes) 158.947 * * [simplify]: iters left: 5 (62 enodes) 158.959 * * [simplify]: iters left: 4 (105 enodes) 158.977 * * [simplify]: iters left: 3 (168 enodes) 159.017 * * [simplify]: iters left: 2 (298 enodes) 159.096 * * [simplify]: Extracting #0: cost 1 inf + 0 159.096 * * [simplify]: Extracting #1: cost 21 inf + 0 159.096 * * [simplify]: Extracting #2: cost 94 inf + 2 159.097 * * [simplify]: Extracting #3: cost 140 inf + 176 159.097 * * [simplify]: Extracting #4: cost 136 inf + 641 159.099 * * [simplify]: Extracting #5: cost 79 inf + 8817 159.103 * * [simplify]: Extracting #6: cost 32 inf + 26407 159.110 * * [simplify]: Extracting #7: cost 1 inf + 48539 159.118 * * [simplify]: Extracting #8: cost 0 inf + 49246 159.125 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 159.125 * [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)))))) 159.126 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 159.126 * * [simplify]: iters left: 6 (14 enodes) 159.134 * * [simplify]: iters left: 5 (62 enodes) 159.156 * * [simplify]: iters left: 4 (110 enodes) 159.189 * * [simplify]: iters left: 3 (185 enodes) 159.234 * * [simplify]: iters left: 2 (366 enodes) 159.349 * * [simplify]: Extracting #0: cost 1 inf + 0 159.350 * * [simplify]: Extracting #1: cost 51 inf + 0 159.350 * * [simplify]: Extracting #2: cost 132 inf + 1 159.352 * * [simplify]: Extracting #3: cost 187 inf + 127 159.354 * * [simplify]: Extracting #4: cost 174 inf + 1591 159.358 * * [simplify]: Extracting #5: cost 124 inf + 9977 159.374 * * [simplify]: Extracting #6: cost 38 inf + 60338 159.405 * * [simplify]: Extracting #7: cost 2 inf + 87832 159.429 * * [simplify]: Extracting #8: cost 0 inf + 88643 159.442 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 159.442 * [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)))) 159.442 * * * * [progress]: [ 240 / 307 ] simplifiying candidate # 159.443 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 159.443 * * [simplify]: iters left: 6 (11 enodes) 159.446 * * [simplify]: iters left: 5 (46 enodes) 159.455 * * [simplify]: iters left: 4 (76 enodes) 159.482 * * [simplify]: iters left: 3 (131 enodes) 159.514 * * [simplify]: iters left: 2 (288 enodes) 159.587 * * [simplify]: Extracting #0: cost 1 inf + 0 159.587 * * [simplify]: Extracting #1: cost 48 inf + 0 159.588 * * [simplify]: Extracting #2: cost 125 inf + 1 159.588 * * [simplify]: Extracting #3: cost 169 inf + 4 159.589 * * [simplify]: Extracting #4: cost 158 inf + 1257 159.591 * * [simplify]: Extracting #5: cost 107 inf + 13010 159.598 * * [simplify]: Extracting #6: cost 13 inf + 64399 159.609 * * [simplify]: Extracting #7: cost 0 inf + 75048 159.619 * [simplify]: Simplified to (/ (pow n (* 1/2 (- 1 k))) (sqrt (sqrt k))) 159.619 * [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)))))) 159.619 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 159.620 * * [simplify]: iters left: 6 (12 enodes) 159.623 * * [simplify]: iters left: 5 (50 enodes) 159.632 * * [simplify]: iters left: 4 (84 enodes) 159.647 * * [simplify]: iters left: 3 (138 enodes) 159.694 * * [simplify]: iters left: 2 (280 enodes) 159.809 * * [simplify]: Extracting #0: cost 1 inf + 0 159.810 * * [simplify]: Extracting #1: cost 49 inf + 0 159.810 * * [simplify]: Extracting #2: cost 133 inf + 1 159.811 * * [simplify]: Extracting #3: cost 177 inf + 3 159.813 * * [simplify]: Extracting #4: cost 172 inf + 882 159.816 * * [simplify]: Extracting #5: cost 132 inf + 7329 159.824 * * [simplify]: Extracting #6: cost 79 inf + 28320 159.841 * * [simplify]: Extracting #7: cost 14 inf + 73196 159.863 * * [simplify]: Extracting #8: cost 0 inf + 81582 159.884 * * [simplify]: Extracting #9: cost 0 inf + 81331 159.897 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 159.897 * [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))))) 159.897 * * * * [progress]: [ 241 / 307 ] simplifiying candidate # 159.898 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.898 * * [simplify]: iters left: 6 (16 enodes) 159.902 * * [simplify]: iters left: 5 (67 enodes) 159.917 * * [simplify]: iters left: 4 (107 enodes) 159.944 * * [simplify]: iters left: 3 (155 enodes) 159.981 * * [simplify]: iters left: 2 (256 enodes) 160.054 * * [simplify]: iters left: 1 (413 enodes) 160.182 * * [simplify]: Extracting #0: cost 1 inf + 0 160.182 * * [simplify]: Extracting #1: cost 10 inf + 0 160.182 * * [simplify]: Extracting #2: cost 18 inf + 1 160.183 * * [simplify]: Extracting #3: cost 41 inf + 1 160.183 * * [simplify]: Extracting #4: cost 107 inf + 3 160.184 * * [simplify]: Extracting #5: cost 152 inf + 1002 160.188 * * [simplify]: Extracting #6: cost 77 inf + 18525 160.201 * * [simplify]: Extracting #7: cost 3 inf + 53008 160.216 * * [simplify]: Extracting #8: cost 0 inf + 51576 160.240 * * [simplify]: Extracting #9: cost 0 inf + 51256 160.264 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 160.264 * [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))))))) 160.264 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 160.264 * * [simplify]: iters left: 6 (15 enodes) 160.273 * * [simplify]: iters left: 5 (62 enodes) 160.292 * * [simplify]: iters left: 4 (96 enodes) 160.308 * * [simplify]: iters left: 3 (136 enodes) 160.348 * * [simplify]: iters left: 2 (234 enodes) 160.416 * * [simplify]: iters left: 1 (389 enodes) 160.554 * * [simplify]: Extracting #0: cost 1 inf + 0 160.554 * * [simplify]: Extracting #1: cost 7 inf + 0 160.554 * * [simplify]: Extracting #2: cost 12 inf + 1 160.554 * * [simplify]: Extracting #3: cost 36 inf + 1 160.554 * * [simplify]: Extracting #4: cost 107 inf + 3 160.556 * * [simplify]: Extracting #5: cost 154 inf + 754 160.561 * * [simplify]: Extracting #6: cost 82 inf + 19699 160.574 * * [simplify]: Extracting #7: cost 22 inf + 44848 160.592 * * [simplify]: Extracting #8: cost 0 inf + 61679 160.611 * * [simplify]: Extracting #9: cost 0 inf + 60465 160.629 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 160.629 * [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))))) 160.629 * * * * [progress]: [ 242 / 307 ] simplifiying candidate # 160.630 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 160.630 * * [simplify]: iters left: 6 (15 enodes) 160.638 * * [simplify]: iters left: 5 (62 enodes) 160.659 * * [simplify]: iters left: 4 (97 enodes) 160.694 * * [simplify]: iters left: 3 (140 enodes) 160.744 * * [simplify]: iters left: 2 (244 enodes) 160.831 * * [simplify]: iters left: 1 (411 enodes) 160.957 * * [simplify]: Extracting #0: cost 1 inf + 0 160.957 * * [simplify]: Extracting #1: cost 7 inf + 0 160.957 * * [simplify]: Extracting #2: cost 13 inf + 1 160.957 * * [simplify]: Extracting #3: cost 40 inf + 1 160.958 * * [simplify]: Extracting #4: cost 122 inf + 3 160.958 * * [simplify]: Extracting #5: cost 149 inf + 1539 160.961 * * [simplify]: Extracting #6: cost 77 inf + 18452 160.970 * * [simplify]: Extracting #7: cost 15 inf + 49725 160.982 * * [simplify]: Extracting #8: cost 0 inf + 57936 161.006 * * [simplify]: Extracting #9: cost 0 inf + 57569 161.028 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 161.028 * [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))))))) 161.029 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 161.029 * * [simplify]: iters left: 6 (15 enodes) 161.038 * * [simplify]: iters left: 5 (62 enodes) 161.059 * * [simplify]: iters left: 4 (97 enodes) 161.089 * * [simplify]: iters left: 3 (140 enodes) 161.116 * * [simplify]: iters left: 2 (244 enodes) 161.175 * * [simplify]: iters left: 1 (411 enodes) 161.322 * * [simplify]: Extracting #0: cost 1 inf + 0 161.322 * * [simplify]: Extracting #1: cost 7 inf + 0 161.322 * * [simplify]: Extracting #2: cost 13 inf + 1 161.323 * * [simplify]: Extracting #3: cost 40 inf + 1 161.323 * * [simplify]: Extracting #4: cost 122 inf + 3 161.324 * * [simplify]: Extracting #5: cost 149 inf + 1539 161.327 * * [simplify]: Extracting #6: cost 77 inf + 18452 161.340 * * [simplify]: Extracting #7: cost 15 inf + 49725 161.360 * * [simplify]: Extracting #8: cost 0 inf + 57936 161.372 * * [simplify]: Extracting #9: cost 0 inf + 57569 161.383 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 161.383 * [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))))) 161.383 * * * * [progress]: [ 243 / 307 ] simplifiying candidate # 161.383 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 161.383 * * [simplify]: iters left: 6 (6 enodes) 161.385 * * [simplify]: iters left: 5 (20 enodes) 161.389 * * [simplify]: iters left: 4 (24 enodes) 161.395 * * [simplify]: Extracting #0: cost 1 inf + 0 161.395 * * [simplify]: Extracting #1: cost 4 inf + 0 161.395 * * [simplify]: Extracting #2: cost 5 inf + 1 161.395 * * [simplify]: Extracting #3: cost 7 inf + 1 161.395 * * [simplify]: Extracting #4: cost 6 inf + 2 161.396 * * [simplify]: Extracting #5: cost 0 inf + 490 161.396 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 161.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 161.396 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.396 * * [simplify]: iters left: 6 (14 enodes) 161.405 * * [simplify]: iters left: 5 (59 enodes) 161.426 * * [simplify]: iters left: 4 (101 enodes) 161.462 * * [simplify]: iters left: 3 (156 enodes) 161.494 * * [simplify]: iters left: 2 (296 enodes) 161.600 * * [simplify]: Extracting #0: cost 1 inf + 0 161.600 * * [simplify]: Extracting #1: cost 50 inf + 0 161.601 * * [simplify]: Extracting #2: cost 127 inf + 1 161.602 * * [simplify]: Extracting #3: cost 176 inf + 3 161.604 * * [simplify]: Extracting #4: cost 172 inf + 675 161.607 * * [simplify]: Extracting #5: cost 125 inf + 10440 161.614 * * [simplify]: Extracting #6: cost 59 inf + 39438 161.626 * * [simplify]: Extracting #7: cost 2 inf + 84967 161.641 * * [simplify]: Extracting #8: cost 0 inf + 86992 161.658 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 161.658 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 161.658 * * * * [progress]: [ 244 / 307 ] simplifiying candidate # 161.658 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 161.659 * * [simplify]: iters left: 6 (15 enodes) 161.667 * * [simplify]: iters left: 5 (65 enodes) 161.689 * * [simplify]: iters left: 4 (107 enodes) 161.723 * * [simplify]: iters left: 3 (174 enodes) 161.761 * * [simplify]: iters left: 2 (348 enodes) 161.854 * * [simplify]: Extracting #0: cost 1 inf + 0 161.854 * * [simplify]: Extracting #1: cost 41 inf + 0 161.854 * * [simplify]: Extracting #2: cost 116 inf + 1 161.855 * * [simplify]: Extracting #3: cost 175 inf + 3 161.855 * * [simplify]: Extracting #4: cost 182 inf + 510 161.858 * * [simplify]: Extracting #5: cost 123 inf + 13449 161.864 * * [simplify]: Extracting #6: cost 61 inf + 37289 161.875 * * [simplify]: Extracting #7: cost 15 inf + 72081 161.888 * * [simplify]: Extracting #8: cost 0 inf + 84226 161.908 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 161.908 * [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)))))) 161.909 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 161.909 * * [simplify]: iters left: 6 (15 enodes) 161.921 * * [simplify]: iters left: 5 (65 enodes) 161.937 * * [simplify]: iters left: 4 (107 enodes) 161.956 * * [simplify]: iters left: 3 (174 enodes) 162.017 * * [simplify]: iters left: 2 (348 enodes) 162.151 * * [simplify]: Extracting #0: cost 1 inf + 0 162.152 * * [simplify]: Extracting #1: cost 41 inf + 0 162.152 * * [simplify]: Extracting #2: cost 116 inf + 1 162.153 * * [simplify]: Extracting #3: cost 175 inf + 3 162.155 * * [simplify]: Extracting #4: cost 182 inf + 510 162.158 * * [simplify]: Extracting #5: cost 123 inf + 13449 162.164 * * [simplify]: Extracting #6: cost 61 inf + 37289 162.175 * * [simplify]: Extracting #7: cost 15 inf + 72081 162.191 * * [simplify]: Extracting #8: cost 0 inf + 84226 162.216 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 162.216 * [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))))) 162.216 * * * * [progress]: [ 245 / 307 ] simplifiying candidate # 162.217 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 162.217 * * [simplify]: iters left: 6 (9 enodes) 162.223 * * [simplify]: iters left: 5 (38 enodes) 162.236 * * [simplify]: iters left: 4 (66 enodes) 162.259 * * [simplify]: iters left: 3 (111 enodes) 162.302 * * [simplify]: iters left: 2 (214 enodes) 162.374 * * [simplify]: iters left: 1 (483 enodes) 162.738 * * [simplify]: Extracting #0: cost 1 inf + 0 162.739 * * [simplify]: Extracting #1: cost 65 inf + 0 162.740 * * [simplify]: Extracting #2: cost 259 inf + 3 162.743 * * [simplify]: Extracting #3: cost 326 inf + 7 162.747 * * [simplify]: Extracting #4: cost 297 inf + 4724 162.761 * * [simplify]: Extracting #5: cost 189 inf + 44075 162.811 * * [simplify]: Extracting #6: cost 30 inf + 157047 162.857 * * [simplify]: Extracting #7: cost 0 inf + 172891 162.919 * * [simplify]: Extracting #8: cost 0 inf + 171477 162.962 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 162.962 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 162.963 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 162.963 * * [simplify]: iters left: 6 (11 enodes) 162.970 * * [simplify]: iters left: 5 (47 enodes) 162.987 * * [simplify]: iters left: 4 (77 enodes) 163.014 * * [simplify]: iters left: 3 (132 enodes) 163.071 * * [simplify]: iters left: 2 (289 enodes) 163.180 * * [simplify]: Extracting #0: cost 1 inf + 0 163.180 * * [simplify]: Extracting #1: cost 41 inf + 0 163.181 * * [simplify]: Extracting #2: cost 121 inf + 1 163.182 * * [simplify]: Extracting #3: cost 164 inf + 168 163.183 * * [simplify]: Extracting #4: cost 158 inf + 1422 163.184 * * [simplify]: Extracting #5: cost 120 inf + 7933 163.190 * * [simplify]: Extracting #6: cost 71 inf + 30056 163.199 * * [simplify]: Extracting #7: cost 7 inf + 73706 163.210 * * [simplify]: Extracting #8: cost 0 inf + 76850 163.228 * * [simplify]: Extracting #9: cost 0 inf + 76730 163.239 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 163.239 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 163.240 * * * * [progress]: [ 246 / 307 ] simplifiying candidate # 163.240 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 163.240 * * [simplify]: iters left: 6 (14 enodes) 163.245 * * [simplify]: iters left: 5 (59 enodes) 163.256 * * [simplify]: iters left: 4 (97 enodes) 163.284 * * [simplify]: iters left: 3 (146 enodes) 163.314 * * [simplify]: iters left: 2 (228 enodes) 163.399 * * [simplify]: iters left: 1 (390 enodes) 163.547 * * [simplify]: Extracting #0: cost 1 inf + 0 163.547 * * [simplify]: Extracting #1: cost 6 inf + 0 163.547 * * [simplify]: Extracting #2: cost 9 inf + 1 163.547 * * [simplify]: Extracting #3: cost 33 inf + 1 163.548 * * [simplify]: Extracting #4: cost 105 inf + 2 163.548 * * [simplify]: Extracting #5: cost 151 inf + 218 163.549 * * [simplify]: Extracting #6: cost 149 inf + 561 163.552 * * [simplify]: Extracting #7: cost 71 inf + 17239 163.559 * * [simplify]: Extracting #8: cost 12 inf + 52480 163.574 * * [simplify]: Extracting #9: cost 1 inf + 61792 163.593 * * [simplify]: Extracting #10: cost 0 inf + 62247 163.611 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 163.611 * [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))))))) 163.612 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 163.612 * * [simplify]: iters left: 6 (14 enodes) 163.620 * * [simplify]: iters left: 5 (59 enodes) 163.646 * * [simplify]: iters left: 4 (97 enodes) 163.678 * * [simplify]: iters left: 3 (135 enodes) 163.714 * * [simplify]: iters left: 2 (215 enodes) 163.784 * * [simplify]: iters left: 1 (375 enodes) 163.941 * * [simplify]: Extracting #0: cost 1 inf + 0 163.941 * * [simplify]: Extracting #1: cost 7 inf + 0 163.941 * * [simplify]: Extracting #2: cost 12 inf + 1 163.941 * * [simplify]: Extracting #3: cost 35 inf + 2 163.942 * * [simplify]: Extracting #4: cost 110 inf + 167 163.943 * * [simplify]: Extracting #5: cost 154 inf + 465 163.947 * * [simplify]: Extracting #6: cost 94 inf + 10883 163.960 * * [simplify]: Extracting #7: cost 16 inf + 48615 163.979 * * [simplify]: Extracting #8: cost 0 inf + 62797 163.999 * * [simplify]: Extracting #9: cost 0 inf + 61202 164.022 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 164.022 * [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)))) 164.022 * * * * [progress]: [ 247 / 307 ] simplifiying candidate # 164.022 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 164.022 * * [simplify]: iters left: 6 (13 enodes) 164.027 * * [simplify]: iters left: 5 (54 enodes) 164.037 * * [simplify]: iters left: 4 (89 enodes) 164.051 * * [simplify]: iters left: 3 (129 enodes) 164.089 * * [simplify]: iters left: 2 (197 enodes) 164.139 * * [simplify]: iters left: 1 (362 enodes) 164.293 * * [simplify]: Extracting #0: cost 1 inf + 0 164.293 * * [simplify]: Extracting #1: cost 6 inf + 0 164.293 * * [simplify]: Extracting #2: cost 30 inf + 1 164.293 * * [simplify]: Extracting #3: cost 111 inf + 2 164.294 * * [simplify]: Extracting #4: cost 149 inf + 177 164.295 * * [simplify]: Extracting #5: cost 144 inf + 603 164.296 * * [simplify]: Extracting #6: cost 85 inf + 7858 164.303 * * [simplify]: Extracting #7: cost 21 inf + 40439 164.314 * * [simplify]: Extracting #8: cost 0 inf + 56274 164.333 * * [simplify]: Extracting #9: cost 0 inf + 55165 164.352 * * [simplify]: Extracting #10: cost 0 inf + 54305 164.368 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 164.369 * [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))))))) 164.369 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 164.369 * * [simplify]: iters left: 6 (14 enodes) 164.373 * * [simplify]: iters left: 5 (59 enodes) 164.383 * * [simplify]: iters left: 4 (98 enodes) 164.400 * * [simplify]: iters left: 3 (136 enodes) 164.434 * * [simplify]: iters left: 2 (217 enodes) 164.486 * * [simplify]: iters left: 1 (385 enodes) 164.666 * * [simplify]: Extracting #0: cost 1 inf + 0 164.666 * * [simplify]: Extracting #1: cost 7 inf + 0 164.666 * * [simplify]: Extracting #2: cost 13 inf + 1 164.666 * * [simplify]: Extracting #3: cost 38 inf + 2 164.667 * * [simplify]: Extracting #4: cost 120 inf + 167 164.667 * * [simplify]: Extracting #5: cost 155 inf + 590 164.671 * * [simplify]: Extracting #6: cost 84 inf + 21700 164.688 * * [simplify]: Extracting #7: cost 10 inf + 57768 164.707 * * [simplify]: Extracting #8: cost 0 inf + 63114 164.726 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 164.727 * [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)))) 164.727 * * * * [progress]: [ 248 / 307 ] simplifiying candidate # 164.727 * [simplify]: Simplifying (/ 1 (/ 1 1)) 164.727 * * [simplify]: iters left: 4 (3 enodes) 164.730 * * [simplify]: iters left: 3 (7 enodes) 164.732 * * [simplify]: iters left: 2 (9 enodes) 164.734 * * [simplify]: Extracting #0: cost 1 inf + 0 164.734 * * [simplify]: Extracting #1: cost 0 inf + 1 164.734 * [simplify]: Simplified to 1 164.735 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.735 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.735 * * [simplify]: iters left: 6 (13 enodes) 164.741 * * [simplify]: iters left: 5 (56 enodes) 164.751 * * [simplify]: iters left: 4 (98 enodes) 164.772 * * [simplify]: iters left: 3 (153 enodes) 164.813 * * [simplify]: iters left: 2 (293 enodes) 164.952 * * [simplify]: Extracting #0: cost 1 inf + 0 164.953 * * [simplify]: Extracting #1: cost 50 inf + 0 164.953 * * [simplify]: Extracting #2: cost 126 inf + 1 164.955 * * [simplify]: Extracting #3: cost 168 inf + 127 164.956 * * [simplify]: Extracting #4: cost 164 inf + 1004 164.961 * * [simplify]: Extracting #5: cost 108 inf + 17323 164.979 * * [simplify]: Extracting #6: cost 24 inf + 65407 164.995 * * [simplify]: Extracting #7: cost 0 inf + 83227 165.010 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 165.010 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 165.010 * * * * [progress]: [ 249 / 307 ] simplifiying candidate # 165.011 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 165.011 * * [simplify]: iters left: 6 (13 enodes) 165.015 * * [simplify]: iters left: 5 (57 enodes) 165.025 * * [simplify]: iters left: 4 (96 enodes) 165.057 * * [simplify]: iters left: 3 (158 enodes) 165.117 * * [simplify]: iters left: 2 (309 enodes) 165.211 * * [simplify]: Extracting #0: cost 1 inf + 0 165.211 * * [simplify]: Extracting #1: cost 29 inf + 0 165.211 * * [simplify]: Extracting #2: cost 98 inf + 2 165.212 * * [simplify]: Extracting #3: cost 147 inf + 301 165.212 * * [simplify]: Extracting #4: cost 145 inf + 766 165.215 * * [simplify]: Extracting #5: cost 70 inf + 17705 165.224 * * [simplify]: Extracting #6: cost 8 inf + 49413 165.242 * * [simplify]: Extracting #7: cost 0 inf + 54010 165.260 * * [simplify]: Extracting #8: cost 0 inf + 53930 165.280 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 165.280 * [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)))))) 165.280 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 165.280 * * [simplify]: iters left: 6 (14 enodes) 165.289 * * [simplify]: iters left: 5 (62 enodes) 165.311 * * [simplify]: iters left: 4 (110 enodes) 165.348 * * [simplify]: iters left: 3 (185 enodes) 165.406 * * [simplify]: iters left: 2 (366 enodes) 165.546 * * [simplify]: Extracting #0: cost 1 inf + 0 165.546 * * [simplify]: Extracting #1: cost 51 inf + 0 165.547 * * [simplify]: Extracting #2: cost 132 inf + 1 165.548 * * [simplify]: Extracting #3: cost 187 inf + 127 165.550 * * [simplify]: Extracting #4: cost 174 inf + 1591 165.554 * * [simplify]: Extracting #5: cost 124 inf + 9977 165.570 * * [simplify]: Extracting #6: cost 38 inf + 60338 165.583 * * [simplify]: Extracting #7: cost 2 inf + 87832 165.600 * * [simplify]: Extracting #8: cost 0 inf + 88643 165.625 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 165.625 * [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)))) 165.625 * * * * [progress]: [ 250 / 307 ] simplifiying candidate # 165.626 * [simplify]: Simplifying (/ 1 1) 165.626 * * [simplify]: iters left: 2 (2 enodes) 165.628 * * [simplify]: iters left: 1 (6 enodes) 165.630 * * [simplify]: Extracting #0: cost 1 inf + 0 165.630 * * [simplify]: Extracting #1: cost 0 inf + 1 165.630 * [simplify]: Simplified to 1 165.630 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.630 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.630 * * [simplify]: iters left: 6 (13 enodes) 165.638 * * [simplify]: iters left: 5 (56 enodes) 165.658 * * [simplify]: iters left: 4 (98 enodes) 165.690 * * [simplify]: iters left: 3 (153 enodes) 165.749 * * [simplify]: iters left: 2 (293 enodes) 165.881 * * [simplify]: Extracting #0: cost 1 inf + 0 165.881 * * [simplify]: Extracting #1: cost 50 inf + 0 165.882 * * [simplify]: Extracting #2: cost 126 inf + 1 165.883 * * [simplify]: Extracting #3: cost 168 inf + 127 165.884 * * [simplify]: Extracting #4: cost 164 inf + 1004 165.888 * * [simplify]: Extracting #5: cost 108 inf + 17323 165.905 * * [simplify]: Extracting #6: cost 24 inf + 65407 165.926 * * [simplify]: Extracting #7: cost 0 inf + 83227 165.950 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 165.951 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 165.951 * * * * [progress]: [ 251 / 307 ] simplifiying candidate # 165.951 * [simplify]: Simplifying (/ 1 (sqrt k)) 165.951 * * [simplify]: iters left: 3 (4 enodes) 165.953 * * [simplify]: iters left: 2 (14 enodes) 165.957 * * [simplify]: iters left: 1 (16 enodes) 165.962 * * [simplify]: Extracting #0: cost 1 inf + 0 165.962 * * [simplify]: Extracting #1: cost 4 inf + 0 165.962 * * [simplify]: Extracting #2: cost 5 inf + 1 165.962 * * [simplify]: Extracting #3: cost 3 inf + 43 165.962 * * [simplify]: Extracting #4: cost 1 inf + 166 165.963 * * [simplify]: Extracting #5: cost 0 inf + 248 165.963 * [simplify]: Simplified to (/ 1 (sqrt k)) 165.963 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.963 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.963 * * [simplify]: iters left: 6 (12 enodes) 165.970 * * [simplify]: iters left: 5 (51 enodes) 165.985 * * [simplify]: iters left: 4 (87 enodes) 166.017 * * [simplify]: iters left: 3 (138 enodes) 166.041 * * [simplify]: iters left: 2 (241 enodes) 166.126 * * [simplify]: Extracting #0: cost 1 inf + 0 166.126 * * [simplify]: Extracting #1: cost 30 inf + 0 166.127 * * [simplify]: Extracting #2: cost 91 inf + 2 166.127 * * [simplify]: Extracting #3: cost 132 inf + 174 166.128 * * [simplify]: Extracting #4: cost 123 inf + 597 166.129 * * [simplify]: Extracting #5: cost 88 inf + 4440 166.131 * * [simplify]: Extracting #6: cost 61 inf + 13805 166.137 * * [simplify]: Extracting #7: cost 11 inf + 48911 166.145 * * [simplify]: Extracting #8: cost 0 inf + 57402 166.161 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 166.161 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 166.162 * * * * [progress]: [ 252 / 307 ] simplifiying candidate # 166.162 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 166.162 * * [simplify]: iters left: 6 (12 enodes) 166.169 * * [simplify]: iters left: 5 (48 enodes) 166.187 * * [simplify]: iters left: 4 (83 enodes) 166.221 * * [simplify]: iters left: 3 (143 enodes) 166.267 * * [simplify]: iters left: 2 (290 enodes) 166.375 * * [simplify]: Extracting #0: cost 1 inf + 0 166.375 * * [simplify]: Extracting #1: cost 38 inf + 0 166.376 * * [simplify]: Extracting #2: cost 104 inf + 1 166.376 * * [simplify]: Extracting #3: cost 103 inf + 255 166.377 * * [simplify]: Extracting #4: cost 97 inf + 591 166.378 * * [simplify]: Extracting #5: cost 71 inf + 9040 166.385 * * [simplify]: Extracting #6: cost 6 inf + 46887 166.391 * * [simplify]: Extracting #7: cost 0 inf + 51156 166.397 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 166.397 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 166.397 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 166.397 * * [simplify]: iters left: 6 (10 enodes) 166.401 * * [simplify]: iters left: 5 (39 enodes) 166.408 * * [simplify]: iters left: 4 (63 enodes) 166.428 * * [simplify]: iters left: 3 (98 enodes) 166.460 * * [simplify]: iters left: 2 (168 enodes) 166.523 * * [simplify]: iters left: 1 (314 enodes) 166.662 * * [simplify]: Extracting #0: cost 1 inf + 0 166.663 * * [simplify]: Extracting #1: cost 6 inf + 0 166.663 * * [simplify]: Extracting #2: cost 36 inf + 1 166.663 * * [simplify]: Extracting #3: cost 123 inf + 2 166.664 * * [simplify]: Extracting #4: cost 145 inf + 218 166.665 * * [simplify]: Extracting #5: cost 110 inf + 2802 166.667 * * [simplify]: Extracting #6: cost 71 inf + 13410 166.673 * * [simplify]: Extracting #7: cost 13 inf + 54153 166.682 * * [simplify]: Extracting #8: cost 0 inf + 62461 166.692 * * [simplify]: Extracting #9: cost 0 inf + 61778 166.702 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 166.703 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 166.703 * * * * [progress]: [ 253 / 307 ] simplifiying candidate # 166.703 * * * * [progress]: [ 254 / 307 ] simplifiying candidate # 166.703 * * * * [progress]: [ 255 / 307 ] simplifiying candidate # 166.703 * * * * [progress]: [ 256 / 307 ] simplifiying candidate # 166.703 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.703 * * [simplify]: iters left: 6 (13 enodes) 166.707 * * [simplify]: iters left: 5 (54 enodes) 166.719 * * [simplify]: iters left: 4 (89 enodes) 166.733 * * [simplify]: iters left: 3 (133 enodes) 166.759 * * [simplify]: iters left: 2 (208 enodes) 166.817 * * [simplify]: iters left: 1 (374 enodes) 166.964 * * [simplify]: Extracting #0: cost 1 inf + 0 166.964 * * [simplify]: Extracting #1: cost 3 inf + 0 166.964 * * [simplify]: Extracting #2: cost 8 inf + 0 166.964 * * [simplify]: Extracting #3: cost 39 inf + 0 166.965 * * [simplify]: Extracting #4: cost 123 inf + 43 166.965 * * [simplify]: Extracting #5: cost 155 inf + 427 166.967 * * [simplify]: Extracting #6: cost 100 inf + 9990 166.973 * * [simplify]: Extracting #7: cost 39 inf + 35047 166.986 * * [simplify]: Extracting #8: cost 0 inf + 68585 166.998 * * [simplify]: Extracting #9: cost 0 inf + 67284 167.012 * * [simplify]: Extracting #10: cost 0 inf + 65366 167.027 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.027 * [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)))))) 167.027 * * * * [progress]: [ 257 / 307 ] simplifiying candidate # 167.028 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.028 * * [simplify]: iters left: 6 (13 enodes) 167.035 * * [simplify]: iters left: 5 (54 enodes) 167.045 * * [simplify]: iters left: 4 (89 enodes) 167.064 * * [simplify]: iters left: 3 (133 enodes) 167.107 * * [simplify]: iters left: 2 (208 enodes) 167.187 * * [simplify]: iters left: 1 (374 enodes) 167.335 * * [simplify]: Extracting #0: cost 1 inf + 0 167.335 * * [simplify]: Extracting #1: cost 3 inf + 0 167.335 * * [simplify]: Extracting #2: cost 8 inf + 0 167.335 * * [simplify]: Extracting #3: cost 39 inf + 0 167.335 * * [simplify]: Extracting #4: cost 123 inf + 43 167.336 * * [simplify]: Extracting #5: cost 155 inf + 427 167.338 * * [simplify]: Extracting #6: cost 100 inf + 9910 167.343 * * [simplify]: Extracting #7: cost 39 inf + 34967 167.363 * * [simplify]: Extracting #8: cost 0 inf + 68505 167.376 * * [simplify]: Extracting #9: cost 0 inf + 67204 167.387 * * [simplify]: Extracting #10: cost 0 inf + 65286 167.398 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.398 * [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)))))) 167.399 * * * * [progress]: [ 258 / 307 ] simplifiying candidate # 167.399 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 167.399 * * [simplify]: iters left: 6 (11 enodes) 167.402 * * [simplify]: iters left: 5 (45 enodes) 167.411 * * [simplify]: iters left: 4 (68 enodes) 167.423 * * [simplify]: iters left: 3 (108 enodes) 167.454 * * [simplify]: iters left: 2 (205 enodes) 167.504 * * [simplify]: iters left: 1 (384 enodes) 167.686 * * [simplify]: Extracting #0: cost 1 inf + 0 167.687 * * [simplify]: Extracting #1: cost 6 inf + 0 167.687 * * [simplify]: Extracting #2: cost 36 inf + 0 167.687 * * [simplify]: Extracting #3: cost 122 inf + 1 167.689 * * [simplify]: Extracting #4: cost 155 inf + 832 167.695 * * [simplify]: Extracting #5: cost 86 inf + 26046 167.712 * * [simplify]: Extracting #6: cost 12 inf + 63304 167.727 * * [simplify]: Extracting #7: cost 0 inf + 68976 167.739 * * [simplify]: Extracting #8: cost 0 inf + 68724 167.749 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 167.749 * [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)))))) 167.749 * * * * [progress]: [ 259 / 307 ] simplifiying candidate # 167.750 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.750 * * [simplify]: iters left: 6 (14 enodes) 167.754 * * [simplify]: iters left: 5 (57 enodes) 167.764 * * [simplify]: iters left: 4 (90 enodes) 167.792 * * [simplify]: iters left: 3 (126 enodes) 167.836 * * [simplify]: iters left: 2 (194 enodes) 167.877 * * [simplify]: iters left: 1 (356 enodes) 168.038 * * [simplify]: Extracting #0: cost 1 inf + 0 168.038 * * [simplify]: Extracting #1: cost 4 inf + 0 168.038 * * [simplify]: Extracting #2: cost 8 inf + 0 168.038 * * [simplify]: Extracting #3: cost 34 inf + 0 168.039 * * [simplify]: Extracting #4: cost 118 inf + 43 168.040 * * [simplify]: Extracting #5: cost 153 inf + 422 168.043 * * [simplify]: Extracting #6: cost 109 inf + 6175 168.049 * * [simplify]: Extracting #7: cost 63 inf + 17898 168.063 * * [simplify]: Extracting #8: cost 19 inf + 51306 168.082 * * [simplify]: Extracting #9: cost 0 inf + 68370 168.101 * * [simplify]: Extracting #10: cost 0 inf + 67780 168.117 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 168.117 * [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)))))) 168.117 * * * * [progress]: [ 260 / 307 ] simplifiying candidate # 168.118 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.118 * * [simplify]: iters left: 6 (14 enodes) 168.122 * * [simplify]: iters left: 5 (57 enodes) 168.135 * * [simplify]: iters left: 4 (91 enodes) 168.156 * * [simplify]: iters left: 3 (127 enodes) 168.197 * * [simplify]: iters left: 2 (195 enodes) 168.261 * * [simplify]: iters left: 1 (361 enodes) 168.423 * * [simplify]: Extracting #0: cost 1 inf + 0 168.423 * * [simplify]: Extracting #1: cost 4 inf + 0 168.423 * * [simplify]: Extracting #2: cost 9 inf + 0 168.424 * * [simplify]: Extracting #3: cost 37 inf + 0 168.424 * * [simplify]: Extracting #4: cost 126 inf + 43 168.426 * * [simplify]: Extracting #5: cost 158 inf + 547 168.429 * * [simplify]: Extracting #6: cost 117 inf + 5978 168.440 * * [simplify]: Extracting #7: cost 33 inf + 39225 168.462 * * [simplify]: Extracting #8: cost 0 inf + 69096 168.484 * * [simplify]: Extracting #9: cost 0 inf + 67302 168.510 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 168.510 * [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)))))) 168.511 * * * * [progress]: [ 261 / 307 ] simplifiying candidate # 168.511 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 168.511 * * [simplify]: iters left: 6 (13 enodes) 168.518 * * [simplify]: iters left: 5 (54 enodes) 168.536 * * [simplify]: iters left: 4 (85 enodes) 168.564 * * [simplify]: iters left: 3 (127 enodes) 168.609 * * [simplify]: iters left: 2 (219 enodes) 168.677 * * [simplify]: iters left: 1 (389 enodes) 168.841 * * [simplify]: Extracting #0: cost 1 inf + 0 168.841 * * [simplify]: Extracting #1: cost 6 inf + 0 168.841 * * [simplify]: Extracting #2: cost 40 inf + 0 168.842 * * [simplify]: Extracting #3: cost 126 inf + 1 168.843 * * [simplify]: Extracting #4: cost 162 inf + 709 168.845 * * [simplify]: Extracting #5: cost 126 inf + 3654 168.854 * * [simplify]: Extracting #6: cost 59 inf + 29904 168.870 * * [simplify]: Extracting #7: cost 4 inf + 69404 168.881 * * [simplify]: Extracting #8: cost 0 inf + 71212 168.893 * * [simplify]: Extracting #9: cost 0 inf + 71211 168.915 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 168.915 * [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))))) 168.915 * * * * [progress]: [ 262 / 307 ] simplifiying candidate # 168.915 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 168.916 * * [simplify]: iters left: 6 (14 enodes) 168.924 * * [simplify]: iters left: 5 (60 enodes) 168.944 * * [simplify]: iters left: 4 (98 enodes) 168.977 * * [simplify]: iters left: 3 (154 enodes) 169.035 * * [simplify]: iters left: 2 (277 enodes) 169.143 * * [simplify]: iters left: 1 (498 enodes) 169.354 * * [simplify]: Extracting #0: cost 1 inf + 0 169.355 * * [simplify]: Extracting #1: cost 6 inf + 0 169.355 * * [simplify]: Extracting #2: cost 35 inf + 0 169.355 * * [simplify]: Extracting #3: cost 126 inf + 1 169.357 * * [simplify]: Extracting #4: cost 200 inf + 342 169.362 * * [simplify]: Extracting #5: cost 139 inf + 10990 169.373 * * [simplify]: Extracting #6: cost 55 inf + 29402 169.392 * * [simplify]: Extracting #7: cost 11 inf + 64540 169.405 * * [simplify]: Extracting #8: cost 0 inf + 72644 169.417 * * [simplify]: Extracting #9: cost 0 inf + 72524 169.439 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 169.439 * [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)))))) 169.440 * * * * [progress]: [ 263 / 307 ] simplifiying candidate # 169.440 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 169.440 * * [simplify]: iters left: 6 (11 enodes) 169.447 * * [simplify]: iters left: 5 (45 enodes) 169.461 * * [simplify]: iters left: 4 (68 enodes) 169.484 * * [simplify]: iters left: 3 (108 enodes) 169.508 * * [simplify]: iters left: 2 (205 enodes) 169.550 * * [simplify]: iters left: 1 (384 enodes) 169.718 * * [simplify]: Extracting #0: cost 1 inf + 0 169.718 * * [simplify]: Extracting #1: cost 6 inf + 0 169.718 * * [simplify]: Extracting #2: cost 36 inf + 0 169.719 * * [simplify]: Extracting #3: cost 122 inf + 1 169.720 * * [simplify]: Extracting #4: cost 155 inf + 912 169.727 * * [simplify]: Extracting #5: cost 86 inf + 26126 169.743 * * [simplify]: Extracting #6: cost 12 inf + 63384 169.757 * * [simplify]: Extracting #7: cost 0 inf + 69056 169.770 * * [simplify]: Extracting #8: cost 0 inf + 68804 169.781 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 169.781 * [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)))))) 169.781 * * * * [progress]: [ 264 / 307 ] simplifiying candidate # 169.781 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.781 * * [simplify]: iters left: 6 (14 enodes) 169.789 * * [simplify]: iters left: 5 (57 enodes) 169.809 * * [simplify]: iters left: 4 (90 enodes) 169.837 * * [simplify]: iters left: 3 (126 enodes) 169.877 * * [simplify]: iters left: 2 (194 enodes) 169.950 * * [simplify]: iters left: 1 (356 enodes) 170.114 * * [simplify]: Extracting #0: cost 1 inf + 0 170.114 * * [simplify]: Extracting #1: cost 4 inf + 0 170.114 * * [simplify]: Extracting #2: cost 8 inf + 0 170.115 * * [simplify]: Extracting #3: cost 34 inf + 0 170.115 * * [simplify]: Extracting #4: cost 118 inf + 83 170.116 * * [simplify]: Extracting #5: cost 153 inf + 502 170.119 * * [simplify]: Extracting #6: cost 109 inf + 6255 170.126 * * [simplify]: Extracting #7: cost 63 inf + 17978 170.143 * * [simplify]: Extracting #8: cost 19 inf + 51386 170.161 * * [simplify]: Extracting #9: cost 0 inf + 68450 170.181 * * [simplify]: Extracting #10: cost 0 inf + 67860 170.200 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 170.200 * [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)))))) 170.200 * * * * [progress]: [ 265 / 307 ] simplifiying candidate # 170.201 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.201 * * [simplify]: iters left: 6 (14 enodes) 170.209 * * [simplify]: iters left: 5 (57 enodes) 170.229 * * [simplify]: iters left: 4 (91 enodes) 170.258 * * [simplify]: iters left: 3 (127 enodes) 170.286 * * [simplify]: iters left: 2 (195 enodes) 170.338 * * [simplify]: iters left: 1 (361 enodes) 170.514 * * [simplify]: Extracting #0: cost 1 inf + 0 170.514 * * [simplify]: Extracting #1: cost 4 inf + 0 170.514 * * [simplify]: Extracting #2: cost 9 inf + 0 170.514 * * [simplify]: Extracting #3: cost 37 inf + 0 170.515 * * [simplify]: Extracting #4: cost 126 inf + 83 170.515 * * [simplify]: Extracting #5: cost 158 inf + 627 170.517 * * [simplify]: Extracting #6: cost 117 inf + 6058 170.523 * * [simplify]: Extracting #7: cost 33 inf + 39305 170.535 * * [simplify]: Extracting #8: cost 0 inf + 69176 170.546 * * [simplify]: Extracting #9: cost 0 inf + 67382 170.567 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 170.568 * [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)))))) 170.568 * * * * [progress]: [ 266 / 307 ] simplifiying candidate # 170.568 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 170.568 * * [simplify]: iters left: 6 (13 enodes) 170.576 * * [simplify]: iters left: 5 (54 enodes) 170.589 * * [simplify]: iters left: 4 (85 enodes) 170.606 * * [simplify]: iters left: 3 (127 enodes) 170.645 * * [simplify]: iters left: 2 (219 enodes) 170.698 * * [simplify]: iters left: 1 (389 enodes) 170.840 * * [simplify]: Extracting #0: cost 1 inf + 0 170.840 * * [simplify]: Extracting #1: cost 6 inf + 0 170.840 * * [simplify]: Extracting #2: cost 40 inf + 0 170.841 * * [simplify]: Extracting #3: cost 126 inf + 1 170.842 * * [simplify]: Extracting #4: cost 162 inf + 789 170.845 * * [simplify]: Extracting #5: cost 126 inf + 3734 170.853 * * [simplify]: Extracting #6: cost 59 inf + 29984 170.866 * * [simplify]: Extracting #7: cost 4 inf + 69484 170.878 * * [simplify]: Extracting #8: cost 0 inf + 71292 170.892 * * [simplify]: Extracting #9: cost 0 inf + 71291 170.916 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 170.916 * [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))))) 170.916 * * * * [progress]: [ 267 / 307 ] simplifiying candidate # 170.917 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 170.917 * * [simplify]: iters left: 6 (14 enodes) 170.921 * * [simplify]: iters left: 5 (60 enodes) 170.931 * * [simplify]: iters left: 4 (98 enodes) 170.950 * * [simplify]: iters left: 3 (154 enodes) 170.979 * * [simplify]: iters left: 2 (277 enodes) 171.040 * * [simplify]: iters left: 1 (498 enodes) 171.252 * * [simplify]: Extracting #0: cost 1 inf + 0 171.252 * * [simplify]: Extracting #1: cost 6 inf + 0 171.252 * * [simplify]: Extracting #2: cost 35 inf + 0 171.253 * * [simplify]: Extracting #3: cost 126 inf + 1 171.255 * * [simplify]: Extracting #4: cost 200 inf + 382 171.259 * * [simplify]: Extracting #5: cost 139 inf + 11070 171.274 * * [simplify]: Extracting #6: cost 55 inf + 29482 171.291 * * [simplify]: Extracting #7: cost 11 inf + 64620 171.303 * * [simplify]: Extracting #8: cost 0 inf + 72724 171.315 * * [simplify]: Extracting #9: cost 0 inf + 72604 171.327 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 171.327 * [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)))))) 171.327 * * * * [progress]: [ 268 / 307 ] simplifiying candidate # 171.328 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 171.328 * * [simplify]: iters left: 6 (11 enodes) 171.331 * * [simplify]: iters left: 5 (45 enodes) 171.340 * * [simplify]: iters left: 4 (68 enodes) 171.363 * * [simplify]: iters left: 3 (108 enodes) 171.395 * * [simplify]: iters left: 2 (205 enodes) 171.437 * * [simplify]: iters left: 1 (384 enodes) 171.612 * * [simplify]: Extracting #0: cost 1 inf + 0 171.612 * * [simplify]: Extracting #1: cost 6 inf + 0 171.613 * * [simplify]: Extracting #2: cost 36 inf + 0 171.613 * * [simplify]: Extracting #3: cost 122 inf + 1 171.615 * * [simplify]: Extracting #4: cost 155 inf + 752 171.622 * * [simplify]: Extracting #5: cost 86 inf + 25726 171.638 * * [simplify]: Extracting #6: cost 12 inf + 62584 171.660 * * [simplify]: Extracting #7: cost 0 inf + 68056 171.680 * * [simplify]: Extracting #8: cost 0 inf + 67804 171.700 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 171.700 * [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)))))) 171.700 * * * * [progress]: [ 269 / 307 ] simplifiying candidate # 171.701 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 171.701 * * [simplify]: iters left: 6 (14 enodes) 171.709 * * [simplify]: iters left: 5 (57 enodes) 171.719 * * [simplify]: iters left: 4 (90 enodes) 171.737 * * [simplify]: iters left: 3 (126 enodes) 171.768 * * [simplify]: iters left: 2 (194 enodes) 171.823 * * [simplify]: iters left: 1 (356 enodes) 171.992 * * [simplify]: Extracting #0: cost 1 inf + 0 171.992 * * [simplify]: Extracting #1: cost 4 inf + 0 171.992 * * [simplify]: Extracting #2: cost 8 inf + 0 171.992 * * [simplify]: Extracting #3: cost 34 inf + 0 171.992 * * [simplify]: Extracting #4: cost 118 inf + 43 171.993 * * [simplify]: Extracting #5: cost 153 inf + 382 171.994 * * [simplify]: Extracting #6: cost 109 inf + 6095 171.997 * * [simplify]: Extracting #7: cost 63 inf + 17738 172.004 * * [simplify]: Extracting #8: cost 19 inf + 51146 172.013 * * [simplify]: Extracting #9: cost 0 inf + 68210 172.028 * * [simplify]: Extracting #10: cost 0 inf + 67620 172.049 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 172.049 * [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)))))) 172.049 * * * * [progress]: [ 270 / 307 ] simplifiying candidate # 172.050 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.050 * * [simplify]: iters left: 6 (14 enodes) 172.054 * * [simplify]: iters left: 5 (57 enodes) 172.064 * * [simplify]: iters left: 4 (91 enodes) 172.080 * * [simplify]: iters left: 3 (127 enodes) 172.122 * * [simplify]: iters left: 2 (195 enodes) 172.197 * * [simplify]: iters left: 1 (361 enodes) 172.350 * * [simplify]: Extracting #0: cost 1 inf + 0 172.350 * * [simplify]: Extracting #1: cost 4 inf + 0 172.350 * * [simplify]: Extracting #2: cost 9 inf + 0 172.350 * * [simplify]: Extracting #3: cost 37 inf + 0 172.351 * * [simplify]: Extracting #4: cost 126 inf + 43 172.351 * * [simplify]: Extracting #5: cost 158 inf + 507 172.353 * * [simplify]: Extracting #6: cost 117 inf + 5898 172.359 * * [simplify]: Extracting #7: cost 33 inf + 39065 172.372 * * [simplify]: Extracting #8: cost 0 inf + 68936 172.383 * * [simplify]: Extracting #9: cost 0 inf + 67142 172.394 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 172.394 * [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)))))) 172.395 * * * * [progress]: [ 271 / 307 ] simplifiying candidate # 172.395 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 172.395 * * [simplify]: iters left: 6 (13 enodes) 172.399 * * [simplify]: iters left: 5 (54 enodes) 172.409 * * [simplify]: iters left: 4 (85 enodes) 172.423 * * [simplify]: iters left: 3 (127 enodes) 172.468 * * [simplify]: iters left: 2 (219 enodes) 172.524 * * [simplify]: iters left: 1 (389 enodes) 172.689 * * [simplify]: Extracting #0: cost 1 inf + 0 172.689 * * [simplify]: Extracting #1: cost 6 inf + 0 172.689 * * [simplify]: Extracting #2: cost 40 inf + 0 172.690 * * [simplify]: Extracting #3: cost 126 inf + 1 172.691 * * [simplify]: Extracting #4: cost 162 inf + 629 172.693 * * [simplify]: Extracting #5: cost 126 inf + 3574 172.702 * * [simplify]: Extracting #6: cost 59 inf + 29624 172.724 * * [simplify]: Extracting #7: cost 4 inf + 68604 172.746 * * [simplify]: Extracting #8: cost 0 inf + 70292 172.769 * * [simplify]: Extracting #9: cost 0 inf + 70291 172.790 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 172.791 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 172.791 * * * * [progress]: [ 272 / 307 ] simplifiying candidate # 172.791 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 172.791 * * [simplify]: iters left: 6 (14 enodes) 172.800 * * [simplify]: iters left: 5 (60 enodes) 172.820 * * [simplify]: iters left: 4 (98 enodes) 172.854 * * [simplify]: iters left: 3 (154 enodes) 172.902 * * [simplify]: iters left: 2 (277 enodes) 172.983 * * [simplify]: iters left: 1 (498 enodes) 173.195 * * [simplify]: Extracting #0: cost 1 inf + 0 173.195 * * [simplify]: Extracting #1: cost 6 inf + 0 173.195 * * [simplify]: Extracting #2: cost 35 inf + 0 173.195 * * [simplify]: Extracting #3: cost 126 inf + 1 173.196 * * [simplify]: Extracting #4: cost 200 inf + 302 173.198 * * [simplify]: Extracting #5: cost 139 inf + 10830 173.204 * * [simplify]: Extracting #6: cost 55 inf + 28922 173.217 * * [simplify]: Extracting #7: cost 11 inf + 63820 173.234 * * [simplify]: Extracting #8: cost 0 inf + 71724 173.248 * * [simplify]: Extracting #9: cost 0 inf + 71604 173.260 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 173.260 * [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)))))) 173.260 * * * * [progress]: [ 273 / 307 ] simplifiying candidate # 173.261 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 173.261 * * [simplify]: iters left: 6 (10 enodes) 173.264 * * [simplify]: iters left: 5 (42 enodes) 173.272 * * [simplify]: iters left: 4 (65 enodes) 173.292 * * [simplify]: iters left: 3 (102 enodes) 173.318 * * [simplify]: iters left: 2 (194 enodes) 173.385 * * [simplify]: iters left: 1 (367 enodes) 173.555 * * [simplify]: Extracting #0: cost 1 inf + 0 173.556 * * [simplify]: Extracting #1: cost 6 inf + 0 173.556 * * [simplify]: Extracting #2: cost 40 inf + 0 173.556 * * [simplify]: Extracting #3: cost 120 inf + 84 173.558 * * [simplify]: Extracting #4: cost 153 inf + 465 173.562 * * [simplify]: Extracting #5: cost 92 inf + 15289 173.569 * * [simplify]: Extracting #6: cost 21 inf + 48335 173.580 * * [simplify]: Extracting #7: cost 0 inf + 64786 173.593 * * [simplify]: Extracting #8: cost 0 inf + 64091 173.612 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 173.613 * [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)))))) 173.613 * * * * [progress]: [ 274 / 307 ] simplifiying candidate # 173.613 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.613 * * [simplify]: iters left: 6 (13 enodes) 173.620 * * [simplify]: iters left: 5 (54 enodes) 173.637 * * [simplify]: iters left: 4 (87 enodes) 173.653 * * [simplify]: iters left: 3 (127 enodes) 173.693 * * [simplify]: iters left: 2 (196 enodes) 173.753 * * [simplify]: iters left: 1 (351 enodes) 173.890 * * [simplify]: Extracting #0: cost 1 inf + 0 173.890 * * [simplify]: Extracting #1: cost 4 inf + 0 173.890 * * [simplify]: Extracting #2: cost 8 inf + 0 173.890 * * [simplify]: Extracting #3: cost 32 inf + 1 173.891 * * [simplify]: Extracting #4: cost 115 inf + 43 173.891 * * [simplify]: Extracting #5: cost 148 inf + 301 173.893 * * [simplify]: Extracting #6: cost 96 inf + 9881 173.899 * * [simplify]: Extracting #7: cost 25 inf + 46617 173.919 * * [simplify]: Extracting #8: cost 0 inf + 67985 173.930 * * [simplify]: Extracting #9: cost 0 inf + 67524 173.940 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.940 * [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)))))) 173.940 * * * * [progress]: [ 275 / 307 ] simplifiying candidate # 173.940 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.941 * * [simplify]: iters left: 6 (13 enodes) 173.945 * * [simplify]: iters left: 5 (54 enodes) 173.955 * * [simplify]: iters left: 4 (88 enodes) 173.969 * * [simplify]: iters left: 3 (124 enodes) 173.991 * * [simplify]: iters left: 2 (192 enodes) 174.048 * * [simplify]: iters left: 1 (353 enodes) 174.211 * * [simplify]: Extracting #0: cost 1 inf + 0 174.211 * * [simplify]: Extracting #1: cost 4 inf + 0 174.212 * * [simplify]: Extracting #2: cost 9 inf + 0 174.212 * * [simplify]: Extracting #3: cost 33 inf + 1 174.212 * * [simplify]: Extracting #4: cost 119 inf + 43 174.214 * * [simplify]: Extracting #5: cost 143 inf + 633 174.221 * * [simplify]: Extracting #6: cost 68 inf + 26811 174.244 * * [simplify]: Extracting #7: cost 14 inf + 46498 174.272 * * [simplify]: Extracting #8: cost 0 inf + 56440 174.303 * * [simplify]: Extracting #9: cost 0 inf + 56100 174.319 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 174.319 * [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)))))) 174.319 * * * * [progress]: [ 276 / 307 ] simplifiying candidate # 174.319 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 174.319 * * [simplify]: iters left: 6 (12 enodes) 174.323 * * [simplify]: iters left: 5 (51 enodes) 174.337 * * [simplify]: iters left: 4 (86 enodes) 174.365 * * [simplify]: iters left: 3 (131 enodes) 174.412 * * [simplify]: iters left: 2 (210 enodes) 174.457 * * [simplify]: iters left: 1 (376 enodes) 174.603 * * [simplify]: Extracting #0: cost 1 inf + 0 174.603 * * [simplify]: Extracting #1: cost 6 inf + 0 174.603 * * [simplify]: Extracting #2: cost 39 inf + 0 174.603 * * [simplify]: Extracting #3: cost 126 inf + 43 174.604 * * [simplify]: Extracting #4: cost 157 inf + 427 174.605 * * [simplify]: Extracting #5: cost 114 inf + 4645 174.608 * * [simplify]: Extracting #6: cost 78 inf + 13381 174.616 * * [simplify]: Extracting #7: cost 42 inf + 36175 174.636 * * [simplify]: Extracting #8: cost 0 inf + 71124 174.646 * * [simplify]: Extracting #9: cost 0 inf + 70886 174.657 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 174.657 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 174.657 * * * * [progress]: [ 277 / 307 ] simplifiying candidate # 174.657 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 174.657 * * [simplify]: iters left: 6 (13 enodes) 174.661 * * [simplify]: iters left: 5 (57 enodes) 174.673 * * [simplify]: iters left: 4 (95 enodes) 174.708 * * [simplify]: iters left: 3 (148 enodes) 174.743 * * [simplify]: iters left: 2 (248 enodes) 174.800 * * [simplify]: iters left: 1 (441 enodes) 174.990 * * [simplify]: Extracting #0: cost 1 inf + 0 174.991 * * [simplify]: Extracting #1: cost 6 inf + 0 174.991 * * [simplify]: Extracting #2: cost 39 inf + 0 174.992 * * [simplify]: Extracting #3: cost 136 inf + 84 174.993 * * [simplify]: Extracting #4: cost 167 inf + 1583 175.001 * * [simplify]: Extracting #5: cost 99 inf + 23902 175.026 * * [simplify]: Extracting #6: cost 10 inf + 64948 175.044 * * [simplify]: Extracting #7: cost 0 inf + 71402 175.055 * * [simplify]: Extracting #8: cost 0 inf + 71068 175.069 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 175.069 * [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)))))) 175.069 * * * * [progress]: [ 278 / 307 ] simplifiying candidate # 175.069 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 175.070 * * [simplify]: iters left: 6 (11 enodes) 175.076 * * [simplify]: iters left: 5 (45 enodes) 175.089 * * [simplify]: iters left: 4 (68 enodes) 175.102 * * [simplify]: iters left: 3 (108 enodes) 175.125 * * [simplify]: iters left: 2 (205 enodes) 175.182 * * [simplify]: iters left: 1 (384 enodes) 175.338 * * [simplify]: Extracting #0: cost 1 inf + 0 175.338 * * [simplify]: Extracting #1: cost 6 inf + 0 175.338 * * [simplify]: Extracting #2: cost 36 inf + 0 175.339 * * [simplify]: Extracting #3: cost 122 inf + 1 175.340 * * [simplify]: Extracting #4: cost 155 inf + 752 175.344 * * [simplify]: Extracting #5: cost 86 inf + 25726 175.353 * * [simplify]: Extracting #6: cost 12 inf + 62584 175.364 * * [simplify]: Extracting #7: cost 0 inf + 68056 175.378 * * [simplify]: Extracting #8: cost 0 inf + 67804 175.399 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 175.399 * [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)))))) 175.399 * * * * [progress]: [ 279 / 307 ] simplifiying candidate # 175.399 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.400 * * [simplify]: iters left: 6 (14 enodes) 175.408 * * [simplify]: iters left: 5 (57 enodes) 175.426 * * [simplify]: iters left: 4 (90 enodes) 175.454 * * [simplify]: iters left: 3 (126 enodes) 175.497 * * [simplify]: iters left: 2 (194 enodes) 175.568 * * [simplify]: iters left: 1 (356 enodes) 175.727 * * [simplify]: Extracting #0: cost 1 inf + 0 175.727 * * [simplify]: Extracting #1: cost 4 inf + 0 175.727 * * [simplify]: Extracting #2: cost 8 inf + 0 175.728 * * [simplify]: Extracting #3: cost 34 inf + 0 175.728 * * [simplify]: Extracting #4: cost 118 inf + 43 175.729 * * [simplify]: Extracting #5: cost 153 inf + 382 175.732 * * [simplify]: Extracting #6: cost 109 inf + 6095 175.739 * * [simplify]: Extracting #7: cost 63 inf + 17738 175.752 * * [simplify]: Extracting #8: cost 19 inf + 51146 175.770 * * [simplify]: Extracting #9: cost 0 inf + 68210 175.790 * * [simplify]: Extracting #10: cost 0 inf + 67620 175.810 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 175.810 * [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)))))) 175.810 * * * * [progress]: [ 280 / 307 ] simplifiying candidate # 175.810 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.810 * * [simplify]: iters left: 6 (14 enodes) 175.814 * * [simplify]: iters left: 5 (57 enodes) 175.827 * * [simplify]: iters left: 4 (91 enodes) 175.842 * * [simplify]: iters left: 3 (127 enodes) 175.882 * * [simplify]: iters left: 2 (195 enodes) 175.934 * * [simplify]: iters left: 1 (361 enodes) 176.053 * * [simplify]: Extracting #0: cost 1 inf + 0 176.053 * * [simplify]: Extracting #1: cost 4 inf + 0 176.053 * * [simplify]: Extracting #2: cost 9 inf + 0 176.053 * * [simplify]: Extracting #3: cost 37 inf + 0 176.054 * * [simplify]: Extracting #4: cost 126 inf + 43 176.055 * * [simplify]: Extracting #5: cost 158 inf + 507 176.058 * * [simplify]: Extracting #6: cost 117 inf + 5898 176.069 * * [simplify]: Extracting #7: cost 33 inf + 39065 176.091 * * [simplify]: Extracting #8: cost 0 inf + 68936 176.113 * * [simplify]: Extracting #9: cost 0 inf + 67142 176.134 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 176.134 * [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)))))) 176.134 * * * * [progress]: [ 281 / 307 ] simplifiying candidate # 176.134 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 176.134 * * [simplify]: iters left: 6 (13 enodes) 176.138 * * [simplify]: iters left: 5 (54 enodes) 176.147 * * [simplify]: iters left: 4 (85 enodes) 176.162 * * [simplify]: iters left: 3 (127 enodes) 176.202 * * [simplify]: iters left: 2 (219 enodes) 176.259 * * [simplify]: iters left: 1 (389 enodes) 176.394 * * [simplify]: Extracting #0: cost 1 inf + 0 176.394 * * [simplify]: Extracting #1: cost 6 inf + 0 176.394 * * [simplify]: Extracting #2: cost 40 inf + 0 176.395 * * [simplify]: Extracting #3: cost 126 inf + 1 176.396 * * [simplify]: Extracting #4: cost 162 inf + 629 176.399 * * [simplify]: Extracting #5: cost 126 inf + 3574 176.408 * * [simplify]: Extracting #6: cost 59 inf + 29624 176.433 * * [simplify]: Extracting #7: cost 4 inf + 68604 176.445 * * [simplify]: Extracting #8: cost 0 inf + 70292 176.456 * * [simplify]: Extracting #9: cost 0 inf + 70291 176.470 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 176.470 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 176.470 * * * * [progress]: [ 282 / 307 ] simplifiying candidate # 176.471 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 176.471 * * [simplify]: iters left: 6 (14 enodes) 176.476 * * [simplify]: iters left: 5 (60 enodes) 176.487 * * [simplify]: iters left: 4 (98 enodes) 176.504 * * [simplify]: iters left: 3 (154 enodes) 176.552 * * [simplify]: iters left: 2 (277 enodes) 176.629 * * [simplify]: iters left: 1 (498 enodes) 176.827 * * [simplify]: Extracting #0: cost 1 inf + 0 176.827 * * [simplify]: Extracting #1: cost 6 inf + 0 176.827 * * [simplify]: Extracting #2: cost 35 inf + 0 176.827 * * [simplify]: Extracting #3: cost 126 inf + 1 176.828 * * [simplify]: Extracting #4: cost 200 inf + 302 176.830 * * [simplify]: Extracting #5: cost 139 inf + 10830 176.836 * * [simplify]: Extracting #6: cost 55 inf + 28922 176.845 * * [simplify]: Extracting #7: cost 11 inf + 63820 176.869 * * [simplify]: Extracting #8: cost 0 inf + 71724 176.891 * * [simplify]: Extracting #9: cost 0 inf + 71604 176.906 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 176.907 * [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)))))) 176.907 * * * * [progress]: [ 283 / 307 ] simplifiying candidate # 176.907 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 176.907 * * [simplify]: iters left: 6 (10 enodes) 176.911 * * [simplify]: iters left: 5 (42 enodes) 176.918 * * [simplify]: iters left: 4 (65 enodes) 176.935 * * [simplify]: iters left: 3 (102 enodes) 176.975 * * [simplify]: iters left: 2 (194 enodes) 177.042 * * [simplify]: iters left: 1 (367 enodes) 177.133 * * [simplify]: Extracting #0: cost 1 inf + 0 177.133 * * [simplify]: Extracting #1: cost 6 inf + 0 177.133 * * [simplify]: Extracting #2: cost 40 inf + 0 177.133 * * [simplify]: Extracting #3: cost 120 inf + 84 177.134 * * [simplify]: Extracting #4: cost 153 inf + 465 177.136 * * [simplify]: Extracting #5: cost 92 inf + 15289 177.147 * * [simplify]: Extracting #6: cost 21 inf + 48335 177.163 * * [simplify]: Extracting #7: cost 0 inf + 64786 177.174 * * [simplify]: Extracting #8: cost 0 inf + 64091 177.187 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))) 177.187 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) 177.187 * * * * [progress]: [ 284 / 307 ] simplifiying candidate # 177.187 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.188 * * [simplify]: iters left: 6 (13 enodes) 177.191 * * [simplify]: iters left: 5 (54 enodes) 177.201 * * [simplify]: iters left: 4 (87 enodes) 177.215 * * [simplify]: iters left: 3 (127 enodes) 177.236 * * [simplify]: iters left: 2 (196 enodes) 177.276 * * [simplify]: iters left: 1 (351 enodes) 177.370 * * [simplify]: Extracting #0: cost 1 inf + 0 177.370 * * [simplify]: Extracting #1: cost 4 inf + 0 177.370 * * [simplify]: Extracting #2: cost 8 inf + 0 177.370 * * [simplify]: Extracting #3: cost 32 inf + 1 177.371 * * [simplify]: Extracting #4: cost 115 inf + 43 177.371 * * [simplify]: Extracting #5: cost 148 inf + 301 177.373 * * [simplify]: Extracting #6: cost 96 inf + 9881 177.378 * * [simplify]: Extracting #7: cost 25 inf + 46617 177.388 * * [simplify]: Extracting #8: cost 0 inf + 67985 177.398 * * [simplify]: Extracting #9: cost 0 inf + 67524 177.411 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.411 * [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)))))) 177.411 * * * * [progress]: [ 285 / 307 ] simplifiying candidate # 177.411 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.411 * * [simplify]: iters left: 6 (13 enodes) 177.415 * * [simplify]: iters left: 5 (54 enodes) 177.425 * * [simplify]: iters left: 4 (88 enodes) 177.451 * * [simplify]: iters left: 3 (124 enodes) 177.492 * * [simplify]: iters left: 2 (192 enodes) 177.547 * * [simplify]: iters left: 1 (353 enodes) 177.655 * * [simplify]: Extracting #0: cost 1 inf + 0 177.655 * * [simplify]: Extracting #1: cost 4 inf + 0 177.655 * * [simplify]: Extracting #2: cost 9 inf + 0 177.655 * * [simplify]: Extracting #3: cost 33 inf + 1 177.656 * * [simplify]: Extracting #4: cost 119 inf + 43 177.656 * * [simplify]: Extracting #5: cost 143 inf + 633 177.660 * * [simplify]: Extracting #6: cost 68 inf + 26811 177.670 * * [simplify]: Extracting #7: cost 14 inf + 46498 177.702 * * [simplify]: Extracting #8: cost 0 inf + 56440 177.733 * * [simplify]: Extracting #9: cost 0 inf + 56100 177.751 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.752 * [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)))))) 177.752 * * * * [progress]: [ 286 / 307 ] simplifiying candidate # 177.752 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 177.752 * * [simplify]: iters left: 6 (12 enodes) 177.756 * * [simplify]: iters left: 5 (51 enodes) 177.765 * * [simplify]: iters left: 4 (86 enodes) 177.784 * * [simplify]: iters left: 3 (131 enodes) 177.828 * * [simplify]: iters left: 2 (210 enodes) 177.906 * * [simplify]: iters left: 1 (376 enodes) 178.049 * * [simplify]: Extracting #0: cost 1 inf + 0 178.049 * * [simplify]: Extracting #1: cost 6 inf + 0 178.050 * * [simplify]: Extracting #2: cost 39 inf + 0 178.053 * * [simplify]: Extracting #3: cost 126 inf + 43 178.054 * * [simplify]: Extracting #4: cost 157 inf + 427 178.055 * * [simplify]: Extracting #5: cost 114 inf + 4645 178.058 * * [simplify]: Extracting #6: cost 78 inf + 13381 178.063 * * [simplify]: Extracting #7: cost 42 inf + 36175 178.072 * * [simplify]: Extracting #8: cost 0 inf + 71124 178.087 * * [simplify]: Extracting #9: cost 0 inf + 70886 178.107 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.107 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 178.107 * * * * [progress]: [ 287 / 307 ] simplifiying candidate # 178.108 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 178.108 * * [simplify]: iters left: 6 (13 enodes) 178.116 * * [simplify]: iters left: 5 (57 enodes) 178.136 * * [simplify]: iters left: 4 (95 enodes) 178.169 * * [simplify]: iters left: 3 (148 enodes) 178.209 * * [simplify]: iters left: 2 (248 enodes) 178.270 * * [simplify]: iters left: 1 (441 enodes) 178.480 * * [simplify]: Extracting #0: cost 1 inf + 0 178.480 * * [simplify]: Extracting #1: cost 6 inf + 0 178.480 * * [simplify]: Extracting #2: cost 39 inf + 0 178.481 * * [simplify]: Extracting #3: cost 136 inf + 84 178.482 * * [simplify]: Extracting #4: cost 167 inf + 1583 178.486 * * [simplify]: Extracting #5: cost 99 inf + 23902 178.496 * * [simplify]: Extracting #6: cost 10 inf + 64948 178.512 * * [simplify]: Extracting #7: cost 0 inf + 71402 178.524 * * [simplify]: Extracting #8: cost 0 inf + 71068 178.538 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 178.538 * [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)))))) 178.539 * * * * [progress]: [ 288 / 307 ] simplifiying candidate # 178.539 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.539 * * [simplify]: iters left: 6 (12 enodes) 178.547 * * [simplify]: iters left: 5 (51 enodes) 178.564 * * [simplify]: iters left: 4 (86 enodes) 178.579 * * [simplify]: iters left: 3 (131 enodes) 178.610 * * [simplify]: iters left: 2 (210 enodes) 178.676 * * [simplify]: iters left: 1 (376 enodes) 178.816 * * [simplify]: Extracting #0: cost 1 inf + 0 178.816 * * [simplify]: Extracting #1: cost 6 inf + 0 178.816 * * [simplify]: Extracting #2: cost 39 inf + 0 178.817 * * [simplify]: Extracting #3: cost 126 inf + 43 178.817 * * [simplify]: Extracting #4: cost 157 inf + 427 178.819 * * [simplify]: Extracting #5: cost 114 inf + 4645 178.821 * * [simplify]: Extracting #6: cost 78 inf + 13381 178.826 * * [simplify]: Extracting #7: cost 42 inf + 36175 178.838 * * [simplify]: Extracting #8: cost 0 inf + 71124 178.858 * * [simplify]: Extracting #9: cost 0 inf + 70886 178.870 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.870 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 178.870 * * * * [progress]: [ 289 / 307 ] simplifiying candidate # 178.870 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.870 * * [simplify]: iters left: 6 (11 enodes) 178.874 * * [simplify]: iters left: 5 (48 enodes) 178.882 * * [simplify]: iters left: 4 (79 enodes) 178.898 * * [simplify]: iters left: 3 (124 enodes) 178.928 * * [simplify]: iters left: 2 (221 enodes) 178.978 * * [simplify]: iters left: 1 (400 enodes) 179.139 * * [simplify]: Extracting #0: cost 1 inf + 0 179.139 * * [simplify]: Extracting #1: cost 6 inf + 0 179.139 * * [simplify]: Extracting #2: cost 36 inf + 1 179.139 * * [simplify]: Extracting #3: cost 122 inf + 2 179.140 * * [simplify]: Extracting #4: cost 182 inf + 220 179.141 * * [simplify]: Extracting #5: cost 169 inf + 1060 179.145 * * [simplify]: Extracting #6: cost 77 inf + 28313 179.159 * * [simplify]: Extracting #7: cost 7 inf + 58060 179.178 * * [simplify]: Extracting #8: cost 0 inf + 61749 179.197 * * [simplify]: Extracting #9: cost 0 inf + 61579 179.227 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 179.227 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) 179.227 * * * * [progress]: [ 290 / 307 ] simplifiying candidate # 179.227 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 179.227 * * [simplify]: iters left: 5 (8 enodes) 179.232 * * [simplify]: iters left: 4 (31 enodes) 179.242 * * [simplify]: iters left: 3 (51 enodes) 179.251 * * [simplify]: iters left: 2 (85 enodes) 179.266 * * [simplify]: iters left: 1 (152 enodes) 179.316 * * [simplify]: Extracting #0: cost 1 inf + 0 179.317 * * [simplify]: Extracting #1: cost 13 inf + 0 179.317 * * [simplify]: Extracting #2: cost 59 inf + 1 179.317 * * [simplify]: Extracting #3: cost 76 inf + 9 179.318 * * [simplify]: Extracting #4: cost 41 inf + 3303 179.321 * * [simplify]: Extracting #5: cost 16 inf + 10676 179.327 * * [simplify]: Extracting #6: cost 0 inf + 21028 179.332 * * [simplify]: Extracting #7: cost 0 inf + 20456 179.337 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 179.337 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 179.338 * * * * [progress]: [ 291 / 307 ] simplifiying candidate # 179.338 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 179.338 * * [simplify]: iters left: 3 (3 enodes) 179.344 * * [simplify]: iters left: 2 (11 enodes) 179.347 * * [simplify]: iters left: 1 (13 enodes) 179.354 * * [simplify]: Extracting #0: cost 1 inf + 0 179.354 * * [simplify]: Extracting #1: cost 0 inf + 1 179.355 * [simplify]: Simplified to 1 179.355 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 179.355 * * * * [progress]: [ 292 / 307 ] simplifiying candidate # 179.355 * [simplify]: Simplifying (sqrt 1) 179.355 * * [simplify]: iters left: 1 (2 enodes) 179.358 * * [simplify]: Extracting #0: cost 1 inf + 0 179.358 * * [simplify]: Extracting #1: cost 0 inf + 1 179.358 * [simplify]: Simplified to 1 179.358 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 179.358 * * * * [progress]: [ 293 / 307 ] simplifiying candidate # 179.358 * * * * [progress]: [ 294 / 307 ] simplifiying candidate # 179.359 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 179.359 * * [simplify]: iters left: 5 (10 enodes) 179.365 * * [simplify]: iters left: 4 (45 enodes) 179.380 * * [simplify]: iters left: 3 (78 enodes) 179.397 * * [simplify]: iters left: 2 (118 enodes) 179.423 * * [simplify]: iters left: 1 (191 enodes) 179.468 * * [simplify]: Extracting #0: cost 1 inf + 0 179.468 * * [simplify]: Extracting #1: cost 13 inf + 0 179.469 * * [simplify]: Extracting #2: cost 60 inf + 1 179.469 * * [simplify]: Extracting #3: cost 92 inf + 7 179.470 * * [simplify]: Extracting #4: cost 83 inf + 930 179.473 * * [simplify]: Extracting #5: cost 41 inf + 6729 179.476 * * [simplify]: Extracting #6: cost 13 inf + 16801 179.479 * * [simplify]: Extracting #7: cost 0 inf + 25197 179.483 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 179.483 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 179.483 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 179.483 * * * * [progress]: [ 296 / 307 ] simplifiying candidate # 179.483 * [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))))) 179.484 * * [simplify]: iters left: 6 (37 enodes) 179.495 * * [simplify]: iters left: 5 (187 enodes) 179.558 * * [simplify]: iters left: 4 (488 enodes) 179.788 * * [simplify]: Extracting #0: cost 1 inf + 0 179.788 * * [simplify]: Extracting #1: cost 57 inf + 0 179.789 * * [simplify]: Extracting #2: cost 294 inf + 0 179.791 * * [simplify]: Extracting #3: cost 524 inf + 199 179.793 * * [simplify]: Extracting #4: cost 512 inf + 6095 179.805 * * [simplify]: Extracting #5: cost 310 inf + 78036 179.873 * * [simplify]: Extracting #6: cost 40 inf + 220622 179.954 * * [simplify]: Extracting #7: cost 0 inf + 244981 180.031 * * [simplify]: Extracting #8: cost 0 inf + 243455 180.135 * * [simplify]: Extracting #9: cost 0 inf + 243454 180.214 * [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)))))))) 180.214 * [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))))))))))) 180.214 * * * * [progress]: [ 297 / 307 ] simplifiying candidate # 180.215 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 180.215 * * [simplify]: iters left: 6 (15 enodes) 180.224 * * [simplify]: iters left: 5 (65 enodes) 180.239 * * [simplify]: iters left: 4 (123 enodes) 180.274 * * [simplify]: iters left: 3 (361 enodes) 180.443 * * [simplify]: Extracting #0: cost 1 inf + 0 180.444 * * [simplify]: Extracting #1: cost 37 inf + 0 180.444 * * [simplify]: Extracting #2: cost 213 inf + 72 180.446 * * [simplify]: Extracting #3: cost 350 inf + 1716 180.454 * * [simplify]: Extracting #4: cost 221 inf + 30028 180.472 * * [simplify]: Extracting #5: cost 33 inf + 78046 180.491 * * [simplify]: Extracting #6: cost 1 inf + 88785 180.516 * * [simplify]: Extracting #7: cost 0 inf + 88926 180.542 * * [simplify]: Extracting #8: cost 0 inf + 88841 180.558 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 180.558 * [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))))))) 180.558 * * * * [progress]: [ 298 / 307 ] simplifiying candidate # 180.558 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 180.558 * * [simplify]: iters left: 6 (16 enodes) 180.564 * * [simplify]: iters left: 5 (67 enodes) 180.583 * * [simplify]: iters left: 4 (134 enodes) 180.633 * * [simplify]: iters left: 3 (407 enodes) 180.843 * * [simplify]: Extracting #0: cost 1 inf + 0 180.843 * * [simplify]: Extracting #1: cost 39 inf + 0 180.843 * * [simplify]: Extracting #2: cost 241 inf + 72 180.845 * * [simplify]: Extracting #3: cost 449 inf + 888 180.851 * * [simplify]: Extracting #4: cost 283 inf + 39678 180.873 * * [simplify]: Extracting #5: cost 24 inf + 116942 180.911 * * [simplify]: Extracting #6: cost 0 inf + 121984 180.936 * * [simplify]: Extracting #7: cost 0 inf + 121983 180.972 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 180.972 * [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)))))))))) 180.972 * * * * [progress]: [ 299 / 307 ] simplifiying candidate # 180.972 * [simplify]: Simplifying (* 2 (* n PI)) 180.972 * * [simplify]: iters left: 4 (5 enodes) 180.974 * * [simplify]: iters left: 3 (19 enodes) 180.977 * * [simplify]: iters left: 2 (27 enodes) 180.982 * * [simplify]: iters left: 1 (32 enodes) 180.986 * * [simplify]: Extracting #0: cost 1 inf + 0 180.986 * * [simplify]: Extracting #1: cost 8 inf + 0 180.986 * * [simplify]: Extracting #2: cost 7 inf + 45 180.986 * * [simplify]: Extracting #3: cost 0 inf + 421 180.986 * [simplify]: Simplified to (* (* PI n) 2) 180.986 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 180.987 * * * * [progress]: [ 300 / 307 ] simplifiying candidate # 180.987 * [simplify]: Simplifying (* 2 (* n PI)) 180.987 * * [simplify]: iters left: 4 (5 enodes) 180.988 * * [simplify]: iters left: 3 (19 enodes) 180.991 * * [simplify]: iters left: 2 (27 enodes) 180.999 * * [simplify]: iters left: 1 (32 enodes) 181.008 * * [simplify]: Extracting #0: cost 1 inf + 0 181.008 * * [simplify]: Extracting #1: cost 8 inf + 0 181.008 * * [simplify]: Extracting #2: cost 7 inf + 45 181.008 * * [simplify]: Extracting #3: cost 0 inf + 421 181.009 * [simplify]: Simplified to (* (* PI n) 2) 181.009 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 181.009 * * * * [progress]: [ 301 / 307 ] simplifiying candidate # 181.009 * [simplify]: Simplifying (* 2 (* n PI)) 181.009 * * [simplify]: iters left: 4 (5 enodes) 181.012 * * [simplify]: iters left: 3 (19 enodes) 181.018 * * [simplify]: iters left: 2 (27 enodes) 181.026 * * [simplify]: iters left: 1 (32 enodes) 181.030 * * [simplify]: Extracting #0: cost 1 inf + 0 181.030 * * [simplify]: Extracting #1: cost 8 inf + 0 181.030 * * [simplify]: Extracting #2: cost 7 inf + 45 181.031 * * [simplify]: Extracting #3: cost 0 inf + 421 181.031 * [simplify]: Simplified to (* (* PI n) 2) 181.031 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 181.031 * * * * [progress]: [ 302 / 307 ] simplifiying candidate # 181.031 * [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))))))))))) 181.031 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 181.031 * * * * [progress]: [ 303 / 307 ] simplifiying candidate # 181.031 * [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)))))))) 181.031 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 181.032 * * * * [progress]: [ 304 / 307 ] simplifiying candidate # 181.032 * [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))))))))))))) 181.032 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 181.032 * * * * [progress]: [ 305 / 307 ] simplifiying candidate # 181.032 * [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))))))))))))) 181.032 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 181.032 * * * * [progress]: [ 306 / 307 ] simplifiying candidate # 181.032 * [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)))))))) 181.032 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 181.033 * * * * [progress]: [ 307 / 307 ] simplifiying candidate # 181.033 * [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)))))))))))) 181.033 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 181.033 * * * [progress]: adding candidates to table 184.485 * [progress]: [Phase 3 of 3] Extracting. 184.485 * * [regime]: Finding splitpoints for: (# # # # # # #) 184.486 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 184.486 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 184.549 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # #) 184.588 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 184.653 * * * [regime]: Found split indices: #