0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.216 * * * [progress]: [2/2] Setting up program. 0.219 * [progress]: [Phase 2 of 3] Improving. 0.219 * * * * [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) 0.224 * * [simplify]: iters left: 5 (57 enodes) 0.235 * * [simplify]: iters left: 4 (96 enodes) 0.261 * * [simplify]: iters left: 3 (174 enodes) 0.328 * * [simplify]: iters left: 2 (354 enodes) 0.465 * * [simplify]: Extracting #0: cost 1 inf + 0 0.465 * * [simplify]: Extracting #1: cost 44 inf + 0 0.465 * * [simplify]: Extracting #2: cost 135 inf + 1 0.466 * * [simplify]: Extracting #3: cost 177 inf + 127 0.467 * * [simplify]: Extracting #4: cost 178 inf + 510 0.469 * * [simplify]: Extracting #5: cost 126 inf + 15028 0.482 * * [simplify]: Extracting #6: cost 23 inf + 73197 0.507 * * [simplify]: Extracting #7: cost 0 inf + 85838 0.523 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.523 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.529 * * [progress]: iteration 1 / 4 0.529 * * * [progress]: picking best candidate 0.535 * * * * [pick]: Picked # 0.535 * * * [progress]: localizing error 0.582 * * * [progress]: generating rewritten candidates 0.582 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.605 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.618 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.631 * * * [progress]: generating series expansions 0.631 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.632 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.632 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.632 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.632 * [taylor]: Taking taylor expansion of 1/2 in k 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.632 * [taylor]: Taking taylor expansion of 1 in k 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of k in k 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.632 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.632 * [taylor]: Taking taylor expansion of 2 in k 0.632 * [backup-simplify]: Simplify 2 into 2 0.632 * [taylor]: Taking taylor expansion of (* n PI) in k 0.632 * [taylor]: Taking taylor expansion of n in k 0.632 * [backup-simplify]: Simplify n into n 0.632 * [taylor]: Taking taylor expansion of PI in k 0.632 * [backup-simplify]: Simplify PI into PI 0.632 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.632 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.632 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.633 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.633 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.633 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.633 * [taylor]: Taking taylor expansion of 1/2 in n 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.634 * [taylor]: Taking taylor expansion of 1 in n 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [backup-simplify]: Simplify k into k 0.634 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.634 * [taylor]: Taking taylor expansion of 2 in n 0.634 * [backup-simplify]: Simplify 2 into 2 0.634 * [taylor]: Taking taylor expansion of (* n PI) in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [backup-simplify]: Simplify PI into PI 0.634 * [backup-simplify]: Simplify (* 0 PI) into 0 0.634 * [backup-simplify]: Simplify (* 2 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.636 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.637 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.637 * [backup-simplify]: Simplify (- k) into (- k) 0.637 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.637 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.638 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.639 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.639 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.639 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.639 * [taylor]: Taking taylor expansion of 1/2 in n 0.639 * [backup-simplify]: Simplify 1/2 into 1/2 0.639 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.639 * [taylor]: Taking taylor expansion of 1 in n 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of k in n 0.639 * [backup-simplify]: Simplify k into k 0.639 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.639 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.639 * [taylor]: Taking taylor expansion of 2 in n 0.640 * [backup-simplify]: Simplify 2 into 2 0.640 * [taylor]: Taking taylor expansion of (* n PI) in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [backup-simplify]: Simplify PI into PI 0.640 * [backup-simplify]: Simplify (* 0 PI) into 0 0.641 * [backup-simplify]: Simplify (* 2 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.650 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.651 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.651 * [backup-simplify]: Simplify (- k) into (- k) 0.652 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.652 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.654 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.655 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.656 * [taylor]: Taking taylor expansion of 1/2 in k 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.656 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.656 * [taylor]: Taking taylor expansion of 1 in k 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of k in k 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.656 * [taylor]: Taking taylor expansion of (log n) in k 0.656 * [taylor]: Taking taylor expansion of n in k 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (log n) into (log n) 0.656 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.656 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.656 * [taylor]: Taking taylor expansion of 2 in k 0.656 * [backup-simplify]: Simplify 2 into 2 0.656 * [taylor]: Taking taylor expansion of PI in k 0.656 * [backup-simplify]: Simplify PI into PI 0.657 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.657 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 1 0) into 1 0.659 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.660 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.660 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.661 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.662 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.666 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.666 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.668 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in k 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.668 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.672 * [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))))) 0.674 * [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))))))) 0.675 * [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))))))) 0.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.679 * [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 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.684 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.686 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.686 * [taylor]: Taking taylor expansion of 0 in k 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.692 * [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 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.702 * [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))))) 0.706 * [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))))) 0.716 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 0.716 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.716 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.716 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.717 * [taylor]: Taking taylor expansion of 1/2 in k 0.717 * [backup-simplify]: Simplify 1/2 into 1/2 0.717 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.717 * [taylor]: Taking taylor expansion of 1 in k 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.717 * [taylor]: Taking taylor expansion of k in k 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.717 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.717 * [taylor]: Taking taylor expansion of 2 in k 0.717 * [backup-simplify]: Simplify 2 into 2 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.717 * [taylor]: Taking taylor expansion of PI in k 0.717 * [backup-simplify]: Simplify PI into PI 0.717 * [taylor]: Taking taylor expansion of n in k 0.717 * [backup-simplify]: Simplify n into n 0.718 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.718 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.718 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.718 * [backup-simplify]: Simplify (- 1) into -1 0.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.719 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.719 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.719 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.719 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.720 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.720 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.720 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.720 * [taylor]: Taking taylor expansion of 1/2 in n 0.720 * [backup-simplify]: Simplify 1/2 into 1/2 0.720 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.720 * [taylor]: Taking taylor expansion of 1 in n 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.720 * [taylor]: Taking taylor expansion of k in n 0.720 * [backup-simplify]: Simplify k into k 0.720 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.720 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.720 * [taylor]: Taking taylor expansion of 2 in n 0.720 * [backup-simplify]: Simplify 2 into 2 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.720 * [taylor]: Taking taylor expansion of PI in n 0.720 * [backup-simplify]: Simplify PI into PI 0.720 * [taylor]: Taking taylor expansion of n in n 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ PI 1) into PI 0.721 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.722 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.722 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.722 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.722 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 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))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.726 * [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))))) 0.726 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.726 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.726 * [taylor]: Taking taylor expansion of 1/2 in n 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.726 * [taylor]: Taking taylor expansion of 1 in n 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.726 * [backup-simplify]: Simplify k into k 0.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.726 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of 2 in n 0.726 * [backup-simplify]: Simplify 2 into 2 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [backup-simplify]: Simplify PI into PI 0.726 * [taylor]: Taking taylor expansion of n in n 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ PI 1) into PI 0.727 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.728 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.728 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.729 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.729 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.730 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.731 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.732 * [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))))) 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.733 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.733 * [taylor]: Taking taylor expansion of 1/2 in k 0.733 * [backup-simplify]: Simplify 1/2 into 1/2 0.733 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.733 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.733 * [taylor]: Taking taylor expansion of 1 in k 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.733 * [taylor]: Taking taylor expansion of k in k 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.733 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.733 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.733 * [taylor]: Taking taylor expansion of 2 in k 0.733 * [backup-simplify]: Simplify 2 into 2 0.733 * [taylor]: Taking taylor expansion of PI in k 0.733 * [backup-simplify]: Simplify PI into PI 0.734 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.735 * [taylor]: Taking taylor expansion of (log n) in k 0.735 * [taylor]: Taking taylor expansion of n in k 0.735 * [backup-simplify]: Simplify n into n 0.735 * [backup-simplify]: Simplify (log n) into (log n) 0.735 * [backup-simplify]: Simplify (- 1) into -1 0.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.736 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.737 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.738 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.739 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.740 * [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))))) 0.741 * [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))))) 0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.745 * [backup-simplify]: Simplify (- 0) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.748 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.750 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in k 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.756 * [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 0.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.761 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.763 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.763 * [taylor]: Taking taylor expansion of 0 in k 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.771 * [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 0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.781 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.783 * [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 0.783 * [taylor]: Taking taylor expansion of 0 in k 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.785 * [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)))))) 0.785 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.785 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.785 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.786 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.786 * [taylor]: Taking taylor expansion of 1/2 in k 0.786 * [backup-simplify]: Simplify 1/2 into 1/2 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.786 * [taylor]: Taking taylor expansion of k in k 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of 1 in k 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.786 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.786 * [taylor]: Taking taylor expansion of -2 in k 0.786 * [backup-simplify]: Simplify -2 into -2 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.786 * [taylor]: Taking taylor expansion of PI in k 0.786 * [backup-simplify]: Simplify PI into PI 0.786 * [taylor]: Taking taylor expansion of n in k 0.787 * [backup-simplify]: Simplify n into n 0.787 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.787 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.787 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.788 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.788 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.788 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.788 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.788 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.788 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.788 * [taylor]: Taking taylor expansion of 1/2 in n 0.788 * [backup-simplify]: Simplify 1/2 into 1/2 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.788 * [taylor]: Taking taylor expansion of k in n 0.788 * [backup-simplify]: Simplify k into k 0.788 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.788 * [taylor]: Taking taylor expansion of 1 in n 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.788 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.789 * [taylor]: Taking taylor expansion of -2 in n 0.789 * [backup-simplify]: Simplify -2 into -2 0.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.789 * [taylor]: Taking taylor expansion of PI in n 0.789 * [backup-simplify]: Simplify PI into PI 0.789 * [taylor]: Taking taylor expansion of n in n 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ PI 1) into PI 0.790 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.791 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.791 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.791 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.793 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.794 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.795 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.795 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.795 * [taylor]: Taking taylor expansion of 1/2 in n 0.795 * [backup-simplify]: Simplify 1/2 into 1/2 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.795 * [taylor]: Taking taylor expansion of k in n 0.795 * [backup-simplify]: Simplify k into k 0.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.795 * [taylor]: Taking taylor expansion of 1 in n 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.795 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.795 * [taylor]: Taking taylor expansion of -2 in n 0.795 * [backup-simplify]: Simplify -2 into -2 0.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.795 * [taylor]: Taking taylor expansion of PI in n 0.795 * [backup-simplify]: Simplify PI into PI 0.795 * [taylor]: Taking taylor expansion of n in n 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ PI 1) into PI 0.796 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.797 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.797 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.798 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.800 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.801 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.801 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.801 * [taylor]: Taking taylor expansion of 1/2 in k 0.801 * [backup-simplify]: Simplify 1/2 into 1/2 0.801 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.802 * [taylor]: Taking taylor expansion of k in k 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of 1 in k 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.802 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.802 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.802 * [taylor]: Taking taylor expansion of -2 in k 0.802 * [backup-simplify]: Simplify -2 into -2 0.802 * [taylor]: Taking taylor expansion of PI in k 0.802 * [backup-simplify]: Simplify PI into PI 0.803 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.804 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.804 * [taylor]: Taking taylor expansion of (log n) in k 0.804 * [taylor]: Taking taylor expansion of n in k 0.804 * [backup-simplify]: Simplify n into n 0.804 * [backup-simplify]: Simplify (log n) into (log n) 0.804 * [backup-simplify]: Simplify (+ 1 0) into 1 0.804 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.805 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.806 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.807 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.808 * [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))))) 0.810 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.817 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.817 * [taylor]: Taking taylor expansion of 0 in k 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.820 * [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 0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.823 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.825 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in k 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.829 * [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 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.832 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.834 * [taylor]: Taking taylor expansion of 0 in k 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [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)))))) 0.835 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.835 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.835 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [backup-simplify]: Simplify PI into PI 0.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [backup-simplify]: Simplify PI into PI 0.836 * [backup-simplify]: Simplify (* 0 PI) into 0 0.836 * [backup-simplify]: Simplify (* 2 0) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.838 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.838 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.853 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.854 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.854 * [taylor]: Taking taylor expansion of 2 in n 0.854 * [backup-simplify]: Simplify 2 into 2 0.854 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.854 * [taylor]: Taking taylor expansion of PI in n 0.854 * [backup-simplify]: Simplify PI into PI 0.854 * [taylor]: Taking taylor expansion of n in n 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (/ PI 1) into PI 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.854 * [taylor]: Taking taylor expansion of 2 in n 0.854 * [backup-simplify]: Simplify 2 into 2 0.854 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.854 * [taylor]: Taking taylor expansion of PI in n 0.854 * [backup-simplify]: Simplify PI into PI 0.854 * [taylor]: Taking taylor expansion of n in n 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ PI 1) into PI 0.855 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.856 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [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 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.871 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.871 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.871 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of -2 in n 0.871 * [backup-simplify]: Simplify -2 into -2 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [backup-simplify]: Simplify PI into PI 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ PI 1) into PI 0.872 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.872 * [taylor]: Taking taylor expansion of -2 in n 0.872 * [backup-simplify]: Simplify -2 into -2 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.872 * [backup-simplify]: Simplify PI into PI 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ PI 1) into PI 0.873 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.873 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.888 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.888 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.888 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.888 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.889 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.889 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.889 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.889 * [taylor]: Taking taylor expansion of 1/2 in k 0.889 * [backup-simplify]: Simplify 1/2 into 1/2 0.889 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.889 * [taylor]: Taking taylor expansion of 1 in k 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [taylor]: Taking taylor expansion of k in k 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.889 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.889 * [taylor]: Taking taylor expansion of 2 in k 0.889 * [backup-simplify]: Simplify 2 into 2 0.889 * [taylor]: Taking taylor expansion of (* n PI) in k 0.889 * [taylor]: Taking taylor expansion of n in k 0.889 * [backup-simplify]: Simplify n into n 0.889 * [taylor]: Taking taylor expansion of PI in k 0.889 * [backup-simplify]: Simplify PI into PI 0.889 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.889 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.889 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.891 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.891 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.891 * [taylor]: Taking taylor expansion of k in k 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [backup-simplify]: Simplify (sqrt 0) into 0 0.893 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.893 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.893 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.893 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.893 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.893 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.893 * [taylor]: Taking taylor expansion of 1/2 in n 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.894 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.894 * [taylor]: Taking taylor expansion of 1 in n 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of k in n 0.894 * [backup-simplify]: Simplify k into k 0.894 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.894 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.894 * [taylor]: Taking taylor expansion of 2 in n 0.894 * [backup-simplify]: Simplify 2 into 2 0.894 * [taylor]: Taking taylor expansion of (* n PI) in n 0.894 * [taylor]: Taking taylor expansion of n in n 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of PI in n 0.894 * [backup-simplify]: Simplify PI into PI 0.894 * [backup-simplify]: Simplify (* 0 PI) into 0 0.895 * [backup-simplify]: Simplify (* 2 0) into 0 0.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.898 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.899 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.899 * [backup-simplify]: Simplify (- k) into (- k) 0.899 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.899 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.900 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.901 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.905 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.905 * [taylor]: Taking taylor expansion of k in n 0.905 * [backup-simplify]: Simplify k into k 0.906 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.906 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.906 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.906 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.906 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.906 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.906 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.906 * [taylor]: Taking taylor expansion of 1/2 in n 0.906 * [backup-simplify]: Simplify 1/2 into 1/2 0.906 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.906 * [taylor]: Taking taylor expansion of 1 in n 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of k in n 0.906 * [backup-simplify]: Simplify k into k 0.906 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.906 * [taylor]: Taking taylor expansion of 2 in n 0.906 * [backup-simplify]: Simplify 2 into 2 0.906 * [taylor]: Taking taylor expansion of (* n PI) in n 0.906 * [taylor]: Taking taylor expansion of n in n 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of PI in n 0.906 * [backup-simplify]: Simplify PI into PI 0.907 * [backup-simplify]: Simplify (* 0 PI) into 0 0.907 * [backup-simplify]: Simplify (* 2 0) into 0 0.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.910 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.911 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.911 * [backup-simplify]: Simplify (- k) into (- k) 0.911 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.911 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.914 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.915 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.915 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.915 * [taylor]: Taking taylor expansion of k in n 0.915 * [backup-simplify]: Simplify k into k 0.915 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.915 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.916 * [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))) 0.916 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.916 * [taylor]: Taking taylor expansion of 1/2 in k 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.916 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.916 * [taylor]: Taking taylor expansion of 1 in k 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of k in k 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.916 * [taylor]: Taking taylor expansion of (log n) in k 0.916 * [taylor]: Taking taylor expansion of n in k 0.916 * [backup-simplify]: Simplify n into n 0.916 * [backup-simplify]: Simplify (log n) into (log n) 0.916 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.916 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.916 * [taylor]: Taking taylor expansion of 2 in k 0.916 * [backup-simplify]: Simplify 2 into 2 0.916 * [taylor]: Taking taylor expansion of PI in k 0.916 * [backup-simplify]: Simplify PI into PI 0.916 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ 1 0) into 1 0.918 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.919 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.919 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.920 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.920 * [taylor]: Taking taylor expansion of k in k 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [backup-simplify]: Simplify (sqrt 0) into 0 0.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.925 * [backup-simplify]: Simplify (- 0) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.927 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.928 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in k 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (- 1) into -1 0.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.933 * [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))))) 0.935 * [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))))))) 0.937 * [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))))))) 0.938 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.938 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.941 * [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 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.944 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.946 * [taylor]: Taking taylor expansion of 0 in k 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.952 * [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 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (- 0) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.959 * [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))))) 0.968 * [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)))))))) 0.973 * [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)))))))) 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.983 * [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 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.987 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.989 * [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 0.990 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in k 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.995 * [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 0.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.999 * [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 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.008 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.017 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.024 * [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)))))))))))))) 1.034 * [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)))))))))))))))))))))) 1.035 * [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)) 1.035 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.035 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.035 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.035 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.035 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.035 * [taylor]: Taking taylor expansion of 1/2 in k 1.035 * [backup-simplify]: Simplify 1/2 into 1/2 1.035 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.035 * [taylor]: Taking taylor expansion of 1 in k 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.035 * [taylor]: Taking taylor expansion of k in k 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.036 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.036 * [taylor]: Taking taylor expansion of 2 in k 1.036 * [backup-simplify]: Simplify 2 into 2 1.036 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.036 * [taylor]: Taking taylor expansion of PI in k 1.036 * [backup-simplify]: Simplify PI into PI 1.036 * [taylor]: Taking taylor expansion of n in k 1.036 * [backup-simplify]: Simplify n into n 1.036 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.036 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.036 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.037 * [backup-simplify]: Simplify (- 1) into -1 1.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.038 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.038 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.038 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.038 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.038 * [taylor]: Taking taylor expansion of k in k 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (sqrt 0) into 0 1.040 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.040 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.040 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.040 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.040 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.040 * [taylor]: Taking taylor expansion of 1/2 in n 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.040 * [taylor]: Taking taylor expansion of 1 in n 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.040 * [taylor]: Taking taylor expansion of k in n 1.040 * [backup-simplify]: Simplify k into k 1.040 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.040 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.040 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.040 * [taylor]: Taking taylor expansion of 2 in n 1.041 * [backup-simplify]: Simplify 2 into 2 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [backup-simplify]: Simplify PI into PI 1.041 * [taylor]: Taking taylor expansion of n in n 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ PI 1) into PI 1.042 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.043 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.043 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.043 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.043 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.046 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.047 * [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))))) 1.047 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.047 * [taylor]: Taking taylor expansion of k in n 1.047 * [backup-simplify]: Simplify k into k 1.047 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.047 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.047 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.047 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.047 * [taylor]: Taking taylor expansion of 1/2 in n 1.047 * [backup-simplify]: Simplify 1/2 into 1/2 1.047 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.047 * [taylor]: Taking taylor expansion of 1 in n 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.047 * [taylor]: Taking taylor expansion of k in n 1.047 * [backup-simplify]: Simplify k into k 1.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.048 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.048 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.048 * [taylor]: Taking taylor expansion of 2 in n 1.048 * [backup-simplify]: Simplify 2 into 2 1.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.048 * [taylor]: Taking taylor expansion of PI in n 1.048 * [backup-simplify]: Simplify PI into PI 1.048 * [taylor]: Taking taylor expansion of n in n 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (/ PI 1) into PI 1.049 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.050 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.050 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.050 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.050 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.052 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.053 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.054 * [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))))) 1.054 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.054 * [taylor]: Taking taylor expansion of k in n 1.054 * [backup-simplify]: Simplify k into k 1.054 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.056 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.056 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.056 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.056 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.056 * [taylor]: Taking taylor expansion of 1/2 in k 1.056 * [backup-simplify]: Simplify 1/2 into 1/2 1.056 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.056 * [taylor]: Taking taylor expansion of 1 in k 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.056 * [taylor]: Taking taylor expansion of k in k 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (/ 1 1) into 1 1.056 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.056 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.056 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.056 * [taylor]: Taking taylor expansion of 2 in k 1.056 * [backup-simplify]: Simplify 2 into 2 1.056 * [taylor]: Taking taylor expansion of PI in k 1.057 * [backup-simplify]: Simplify PI into PI 1.057 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.058 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.058 * [taylor]: Taking taylor expansion of (log n) in k 1.058 * [taylor]: Taking taylor expansion of n in k 1.058 * [backup-simplify]: Simplify n into n 1.058 * [backup-simplify]: Simplify (log n) into (log n) 1.059 * [backup-simplify]: Simplify (- 1) into -1 1.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.059 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.060 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.061 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.062 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.063 * [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))))) 1.063 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.063 * [taylor]: Taking taylor expansion of k in k 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (sqrt 0) into 0 1.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.066 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.070 * [backup-simplify]: Simplify (- 0) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.074 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.076 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.077 * [taylor]: Taking taylor expansion of 0 in k 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.079 * [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))))))) 1.080 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.087 * [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 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.090 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.092 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in k 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.096 * [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))))))) 1.096 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.101 * [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 1.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.103 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.104 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.110 * [taylor]: Taking taylor expansion of 0 in k 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.113 * [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))))))) 1.114 * [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))))))) 1.116 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.117 * [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))) 1.117 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.117 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.117 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.117 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.117 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.117 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.117 * [taylor]: Taking taylor expansion of 1/2 in k 1.117 * [backup-simplify]: Simplify 1/2 into 1/2 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.117 * [taylor]: Taking taylor expansion of k in k 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [taylor]: Taking taylor expansion of 1 in k 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.117 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.117 * [taylor]: Taking taylor expansion of -2 in k 1.117 * [backup-simplify]: Simplify -2 into -2 1.117 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.117 * [taylor]: Taking taylor expansion of PI in k 1.117 * [backup-simplify]: Simplify PI into PI 1.117 * [taylor]: Taking taylor expansion of n in k 1.117 * [backup-simplify]: Simplify n into n 1.117 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.117 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.118 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.118 * [backup-simplify]: Simplify (+ 1 0) into 1 1.118 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.118 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.118 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.118 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.118 * [taylor]: Taking taylor expansion of -1 in k 1.118 * [backup-simplify]: Simplify -1 into -1 1.118 * [taylor]: Taking taylor expansion of k in k 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.119 * [backup-simplify]: Simplify (sqrt 0) into 0 1.120 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.121 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 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 1.121 * [taylor]: Taking taylor expansion of 1/2 in n 1.121 * [backup-simplify]: Simplify 1/2 into 1/2 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.121 * [taylor]: Taking taylor expansion of k in n 1.121 * [backup-simplify]: Simplify k into k 1.121 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.121 * [taylor]: Taking taylor expansion of 1 in n 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.121 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.121 * [taylor]: Taking taylor expansion of -2 in n 1.121 * [backup-simplify]: Simplify -2 into -2 1.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.121 * [taylor]: Taking taylor expansion of PI in n 1.121 * [backup-simplify]: Simplify PI into PI 1.121 * [taylor]: Taking taylor expansion of n in n 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ PI 1) into PI 1.122 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.123 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.123 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.124 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.126 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.127 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.127 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.127 * [taylor]: Taking taylor expansion of -1 in n 1.127 * [backup-simplify]: Simplify -1 into -1 1.127 * [taylor]: Taking taylor expansion of k in n 1.127 * [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)) 1.128 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.129 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.129 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.129 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.129 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.129 * [taylor]: Taking taylor expansion of 1/2 in n 1.129 * [backup-simplify]: Simplify 1/2 into 1/2 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.129 * [taylor]: Taking taylor expansion of k in n 1.129 * [backup-simplify]: Simplify k into k 1.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.130 * [taylor]: Taking taylor expansion of 1 in n 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.130 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.130 * [taylor]: Taking taylor expansion of -2 in n 1.130 * [backup-simplify]: Simplify -2 into -2 1.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.130 * [taylor]: Taking taylor expansion of PI in n 1.130 * [backup-simplify]: Simplify PI into PI 1.130 * [taylor]: Taking taylor expansion of n in n 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ PI 1) 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 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.132 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.135 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.136 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.136 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.136 * [taylor]: Taking taylor expansion of -1 in n 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [taylor]: Taking taylor expansion of k in n 1.136 * [backup-simplify]: Simplify k into k 1.136 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.136 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.136 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.138 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.138 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.138 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.138 * [taylor]: Taking taylor expansion of 1/2 in k 1.138 * [backup-simplify]: Simplify 1/2 into 1/2 1.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.138 * [taylor]: Taking taylor expansion of k in k 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (/ 1 1) into 1 1.138 * [taylor]: Taking taylor expansion of 1 in k 1.138 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.139 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.139 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.139 * [taylor]: Taking taylor expansion of -2 in k 1.139 * [backup-simplify]: Simplify -2 into -2 1.139 * [taylor]: Taking taylor expansion of PI in k 1.139 * [backup-simplify]: Simplify PI into PI 1.139 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.140 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.140 * [taylor]: Taking taylor expansion of (log n) in k 1.140 * [taylor]: Taking taylor expansion of n in k 1.140 * [backup-simplify]: Simplify n into n 1.140 * [backup-simplify]: Simplify (log n) into (log n) 1.141 * [backup-simplify]: Simplify (+ 1 0) into 1 1.141 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.142 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.143 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.144 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.145 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.146 * [taylor]: Taking taylor expansion of -1 in k 1.146 * [backup-simplify]: Simplify -1 into -1 1.146 * [taylor]: Taking taylor expansion of k in k 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ -1 1) into -1 1.147 * [backup-simplify]: Simplify (sqrt 0) into 0 1.148 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.149 * [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)))))) 1.150 * [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)))))) 1.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.158 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.160 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.161 * [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 1.161 * [taylor]: Taking taylor expansion of 0 in k 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.168 * [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))))))) 1.169 * [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))))))) 1.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.173 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.175 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.177 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.177 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.178 * [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 1.178 * [taylor]: Taking taylor expansion of 0 in k 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.183 * [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))))))) 1.184 * [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))))))) 1.186 * [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)))))))))))) 1.187 * * * [progress]: simplifying candidates 1.187 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.187 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.187 * * [simplify]: iters left: 6 (13 enodes) 1.191 * * [simplify]: iters left: 5 (54 enodes) 1.202 * * [simplify]: iters left: 4 (97 enodes) 1.246 * * [simplify]: iters left: 3 (244 enodes) 1.349 * * [simplify]: Extracting #0: cost 1 inf + 0 1.349 * * [simplify]: Extracting #1: cost 32 inf + 0 1.350 * * [simplify]: Extracting #2: cost 126 inf + 2 1.351 * * [simplify]: Extracting #3: cost 173 inf + 75 1.352 * * [simplify]: Extracting #4: cost 127 inf + 6635 1.357 * * [simplify]: Extracting #5: cost 15 inf + 36816 1.365 * * [simplify]: Extracting #6: cost 0 inf + 41489 1.372 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.372 * [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))) 1.372 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.372 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.372 * * [simplify]: iters left: 6 (12 enodes) 1.376 * * [simplify]: iters left: 5 (52 enodes) 1.392 * * [simplify]: iters left: 4 (90 enodes) 1.410 * * [simplify]: iters left: 3 (203 enodes) 1.492 * * [simplify]: Extracting #0: cost 1 inf + 0 1.492 * * [simplify]: Extracting #1: cost 29 inf + 0 1.492 * * [simplify]: Extracting #2: cost 112 inf + 2 1.493 * * [simplify]: Extracting #3: cost 149 inf + 341 1.494 * * [simplify]: Extracting #4: cost 110 inf + 5554 1.497 * * [simplify]: Extracting #5: cost 30 inf + 23496 1.503 * * [simplify]: Extracting #6: cost 1 inf + 31878 1.510 * * [simplify]: Extracting #7: cost 0 inf + 32142 1.522 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.522 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.522 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.522 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.522 * * [simplify]: iters left: 6 (11 enodes) 1.529 * * [simplify]: iters left: 5 (51 enodes) 1.542 * * [simplify]: iters left: 4 (97 enodes) 1.561 * * [simplify]: iters left: 3 (199 enodes) 1.639 * * [simplify]: Extracting #0: cost 1 inf + 0 1.639 * * [simplify]: Extracting #1: cost 32 inf + 0 1.639 * * [simplify]: Extracting #2: cost 113 inf + 2 1.640 * * [simplify]: Extracting #3: cost 154 inf + 200 1.643 * * [simplify]: Extracting #4: cost 123 inf + 3386 1.646 * * [simplify]: Extracting #5: cost 47 inf + 17339 1.650 * * [simplify]: Extracting #6: cost 3 inf + 27690 1.657 * * [simplify]: Extracting #7: cost 0 inf + 28612 1.665 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.665 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.666 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 1.666 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 1.666 * [simplify]: Simplifying (* n (* 2 PI)) 1.666 * * [simplify]: iters left: 4 (5 enodes) 1.668 * * [simplify]: iters left: 3 (19 enodes) 1.671 * * [simplify]: iters left: 2 (27 enodes) 1.675 * * [simplify]: iters left: 1 (32 enodes) 1.680 * * [simplify]: Extracting #0: cost 1 inf + 0 1.680 * * [simplify]: Extracting #1: cost 8 inf + 0 1.680 * * [simplify]: Extracting #2: cost 7 inf + 45 1.680 * * [simplify]: Extracting #3: cost 0 inf + 421 1.680 * [simplify]: Simplified to (* (* PI 2) n) 1.680 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.680 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 1.681 * [simplify]: Simplifying (* n (* 2 PI)) 1.681 * * [simplify]: iters left: 4 (5 enodes) 1.682 * * [simplify]: iters left: 3 (19 enodes) 1.685 * * [simplify]: iters left: 2 (27 enodes) 1.690 * * [simplify]: iters left: 1 (32 enodes) 1.697 * * [simplify]: Extracting #0: cost 1 inf + 0 1.697 * * [simplify]: Extracting #1: cost 8 inf + 0 1.697 * * [simplify]: Extracting #2: cost 7 inf + 45 1.697 * * [simplify]: Extracting #3: cost 0 inf + 421 1.698 * [simplify]: Simplified to (* (* PI 2) n) 1.698 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.698 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 1.698 * [simplify]: Simplifying (* n (* 2 PI)) 1.698 * * [simplify]: iters left: 4 (5 enodes) 1.701 * * [simplify]: iters left: 3 (19 enodes) 1.707 * * [simplify]: iters left: 2 (27 enodes) 1.711 * * [simplify]: iters left: 1 (32 enodes) 1.716 * * [simplify]: Extracting #0: cost 1 inf + 0 1.716 * * [simplify]: Extracting #1: cost 8 inf + 0 1.716 * * [simplify]: Extracting #2: cost 7 inf + 45 1.716 * * [simplify]: Extracting #3: cost 0 inf + 421 1.716 * [simplify]: Simplified to (* (* PI 2) n) 1.716 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.716 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 1.716 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.717 * * [simplify]: iters left: 5 (8 enodes) 1.719 * * [simplify]: iters left: 4 (31 enodes) 1.724 * * [simplify]: iters left: 3 (51 enodes) 1.734 * * [simplify]: iters left: 2 (85 enodes) 1.761 * * [simplify]: iters left: 1 (152 enodes) 1.796 * * [simplify]: Extracting #0: cost 1 inf + 0 1.796 * * [simplify]: Extracting #1: cost 13 inf + 0 1.796 * * [simplify]: Extracting #2: cost 59 inf + 1 1.797 * * [simplify]: Extracting #3: cost 76 inf + 9 1.798 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.801 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.806 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.811 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.817 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.817 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.817 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 1.817 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.817 * * [simplify]: iters left: 5 (6 enodes) 1.821 * * [simplify]: iters left: 4 (26 enodes) 1.825 * * [simplify]: iters left: 3 (35 enodes) 1.831 * * [simplify]: iters left: 2 (37 enodes) 1.837 * * [simplify]: iters left: 1 (41 enodes) 1.846 * * [simplify]: Extracting #0: cost 1 inf + 0 1.846 * * [simplify]: Extracting #1: cost 3 inf + 0 1.846 * * [simplify]: Extracting #2: cost 9 inf + 0 1.847 * * [simplify]: Extracting #3: cost 13 inf + 2 1.847 * * [simplify]: Extracting #4: cost 10 inf + 87 1.847 * * [simplify]: Extracting #5: cost 3 inf + 582 1.847 * * [simplify]: Extracting #6: cost 0 inf + 910 1.848 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.848 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 1.848 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 1.849 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.849 * * [simplify]: iters left: 5 (6 enodes) 1.852 * * [simplify]: iters left: 4 (26 enodes) 1.857 * * [simplify]: iters left: 3 (35 enodes) 1.863 * * [simplify]: iters left: 2 (37 enodes) 1.869 * * [simplify]: iters left: 1 (41 enodes) 1.875 * * [simplify]: Extracting #0: cost 1 inf + 0 1.875 * * [simplify]: Extracting #1: cost 3 inf + 0 1.875 * * [simplify]: Extracting #2: cost 9 inf + 0 1.875 * * [simplify]: Extracting #3: cost 13 inf + 2 1.875 * * [simplify]: Extracting #4: cost 10 inf + 87 1.875 * * [simplify]: Extracting #5: cost 3 inf + 542 1.875 * * [simplify]: Extracting #6: cost 0 inf + 830 1.876 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.876 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.876 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 1.876 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.876 * * [simplify]: iters left: 5 (7 enodes) 1.878 * * [simplify]: iters left: 4 (25 enodes) 1.887 * * [simplify]: iters left: 3 (30 enodes) 1.896 * * [simplify]: Extracting #0: cost 1 inf + 0 1.896 * * [simplify]: Extracting #1: cost 4 inf + 0 1.896 * * [simplify]: Extracting #2: cost 8 inf + 0 1.896 * * [simplify]: Extracting #3: cost 10 inf + 82 1.896 * * [simplify]: Extracting #4: cost 7 inf + 206 1.896 * * [simplify]: Extracting #5: cost 2 inf + 575 1.896 * * [simplify]: Extracting #6: cost 1 inf + 818 1.897 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.897 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 1.897 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 1.897 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 1.897 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 1.897 * * [simplify]: iters left: 5 (7 enodes) 1.899 * * [simplify]: iters left: 4 (25 enodes) 1.904 * * [simplify]: iters left: 3 (30 enodes) 1.909 * * [simplify]: Extracting #0: cost 1 inf + 0 1.909 * * [simplify]: Extracting #1: cost 4 inf + 0 1.909 * * [simplify]: Extracting #2: cost 8 inf + 0 1.909 * * [simplify]: Extracting #3: cost 10 inf + 42 1.909 * * [simplify]: Extracting #4: cost 7 inf + 126 1.909 * * [simplify]: Extracting #5: cost 2 inf + 495 1.910 * * [simplify]: Extracting #6: cost 1 inf + 698 1.910 * * [simplify]: Extracting #7: cost 0 inf + 901 1.910 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 1.910 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 1.910 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 1.910 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 1.910 * * [simplify]: iters left: 5 (6 enodes) 1.912 * * [simplify]: iters left: 4 (22 enodes) 1.917 * * [simplify]: iters left: 3 (27 enodes) 1.925 * * [simplify]: Extracting #0: cost 1 inf + 0 1.925 * * [simplify]: Extracting #1: cost 4 inf + 0 1.925 * * [simplify]: Extracting #2: cost 5 inf + 1 1.925 * * [simplify]: Extracting #3: cost 9 inf + 1 1.925 * * [simplify]: Extracting #4: cost 8 inf + 3 1.926 * * [simplify]: Extracting #5: cost 4 inf + 169 1.926 * * [simplify]: Extracting #6: cost 1 inf + 576 1.926 * * [simplify]: Extracting #7: cost 0 inf + 739 1.926 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 1.926 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 1.927 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 1.927 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 1.927 * * [simplify]: iters left: 5 (7 enodes) 1.932 * * [simplify]: iters left: 4 (25 enodes) 1.940 * * [simplify]: iters left: 3 (30 enodes) 1.950 * * [simplify]: Extracting #0: cost 1 inf + 0 1.950 * * [simplify]: Extracting #1: cost 4 inf + 0 1.950 * * [simplify]: Extracting #2: cost 8 inf + 0 1.950 * * [simplify]: Extracting #3: cost 10 inf + 82 1.950 * * [simplify]: Extracting #4: cost 7 inf + 206 1.950 * * [simplify]: Extracting #5: cost 2 inf + 495 1.950 * * [simplify]: Extracting #6: cost 1 inf + 698 1.951 * * [simplify]: Extracting #7: cost 0 inf + 901 1.951 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 1.951 * [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))) 1.951 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 1.952 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 1.952 * * [simplify]: iters left: 5 (7 enodes) 1.958 * * [simplify]: iters left: 4 (25 enodes) 1.967 * * [simplify]: iters left: 3 (30 enodes) 1.977 * * [simplify]: Extracting #0: cost 1 inf + 0 1.977 * * [simplify]: Extracting #1: cost 4 inf + 0 1.977 * * [simplify]: Extracting #2: cost 8 inf + 0 1.977 * * [simplify]: Extracting #3: cost 10 inf + 42 1.977 * * [simplify]: Extracting #4: cost 7 inf + 126 1.978 * * [simplify]: Extracting #5: cost 2 inf + 415 1.978 * * [simplify]: Extracting #6: cost 1 inf + 578 1.978 * * [simplify]: Extracting #7: cost 0 inf + 741 1.979 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 1.979 * [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))) 1.979 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 1.979 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 1.979 * * [simplify]: iters left: 5 (6 enodes) 1.983 * * [simplify]: iters left: 4 (22 enodes) 1.990 * * [simplify]: iters left: 3 (27 enodes) 1.998 * * [simplify]: Extracting #0: cost 1 inf + 0 1.998 * * [simplify]: Extracting #1: cost 4 inf + 0 1.998 * * [simplify]: Extracting #2: cost 5 inf + 1 1.999 * * [simplify]: Extracting #3: cost 9 inf + 1 1.999 * * [simplify]: Extracting #4: cost 8 inf + 3 1.999 * * [simplify]: Extracting #5: cost 4 inf + 169 1.999 * * [simplify]: Extracting #6: cost 1 inf + 456 1.999 * * [simplify]: Extracting #7: cost 0 inf + 579 1.999 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.000 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.000 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.000 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.000 * * [simplify]: iters left: 4 (6 enodes) 2.004 * * [simplify]: iters left: 3 (25 enodes) 2.010 * * [simplify]: iters left: 2 (36 enodes) 2.016 * * [simplify]: iters left: 1 (40 enodes) 2.023 * * [simplify]: Extracting #0: cost 1 inf + 0 2.023 * * [simplify]: Extracting #1: cost 7 inf + 0 2.023 * * [simplify]: Extracting #2: cost 16 inf + 0 2.023 * * [simplify]: Extracting #3: cost 13 inf + 44 2.024 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.024 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.024 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.024 * [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))) 2.024 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.024 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.024 * * [simplify]: iters left: 4 (6 enodes) 2.027 * * [simplify]: iters left: 3 (25 enodes) 2.031 * * [simplify]: iters left: 2 (36 enodes) 2.039 * * [simplify]: iters left: 1 (40 enodes) 2.051 * * [simplify]: Extracting #0: cost 1 inf + 0 2.051 * * [simplify]: Extracting #1: cost 7 inf + 0 2.051 * * [simplify]: Extracting #2: cost 16 inf + 0 2.051 * * [simplify]: Extracting #3: cost 13 inf + 44 2.052 * * [simplify]: Extracting #4: cost 3 inf + 823 2.052 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.053 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.053 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.053 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.053 * [simplify]: Simplifying (/ (- 1 k) 2) 2.053 * * [simplify]: iters left: 4 (5 enodes) 2.057 * * [simplify]: iters left: 3 (23 enodes) 2.065 * * [simplify]: iters left: 2 (32 enodes) 2.071 * * [simplify]: iters left: 1 (34 enodes) 2.076 * * [simplify]: Extracting #0: cost 1 inf + 0 2.076 * * [simplify]: Extracting #1: cost 7 inf + 0 2.076 * * [simplify]: Extracting #2: cost 11 inf + 2 2.076 * * [simplify]: Extracting #3: cost 10 inf + 4 2.076 * * [simplify]: Extracting #4: cost 4 inf + 337 2.076 * * [simplify]: Extracting #5: cost 0 inf + 584 2.077 * [simplify]: Simplified to (/ (- 1 k) 2) 2.077 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.077 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.077 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.077 * * [simplify]: iters left: 5 (8 enodes) 2.081 * * [simplify]: iters left: 4 (31 enodes) 2.086 * * [simplify]: iters left: 3 (45 enodes) 2.094 * * [simplify]: iters left: 2 (52 enodes) 2.107 * * [simplify]: iters left: 1 (53 enodes) 2.116 * * [simplify]: Extracting #0: cost 1 inf + 0 2.116 * * [simplify]: Extracting #1: cost 8 inf + 0 2.117 * * [simplify]: Extracting #2: cost 18 inf + 0 2.117 * * [simplify]: Extracting #3: cost 19 inf + 2 2.117 * * [simplify]: Extracting #4: cost 9 inf + 977 2.117 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.117 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.118 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.118 * [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))) 2.118 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.118 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.118 * * [simplify]: iters left: 5 (8 enodes) 2.121 * * [simplify]: iters left: 4 (31 enodes) 2.126 * * [simplify]: iters left: 3 (45 enodes) 2.133 * * [simplify]: iters left: 2 (52 enodes) 2.142 * * [simplify]: iters left: 1 (53 enodes) 2.156 * * [simplify]: Extracting #0: cost 1 inf + 0 2.156 * * [simplify]: Extracting #1: cost 8 inf + 0 2.156 * * [simplify]: Extracting #2: cost 18 inf + 0 2.156 * * [simplify]: Extracting #3: cost 19 inf + 2 2.157 * * [simplify]: Extracting #4: cost 9 inf + 697 2.157 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.158 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.159 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.159 * [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))) 2.159 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.159 * * [simplify]: iters left: 5 (7 enodes) 2.164 * * [simplify]: iters left: 4 (29 enodes) 2.174 * * [simplify]: iters left: 3 (43 enodes) 2.185 * * [simplify]: iters left: 2 (48 enodes) 2.200 * * [simplify]: Extracting #0: cost 1 inf + 0 2.200 * * [simplify]: Extracting #1: cost 7 inf + 0 2.200 * * [simplify]: Extracting #2: cost 11 inf + 2 2.200 * * [simplify]: Extracting #3: cost 13 inf + 3 2.200 * * [simplify]: Extracting #4: cost 11 inf + 45 2.201 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.201 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.201 * [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))) 2.201 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.202 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.202 * * [simplify]: iters left: 5 (7 enodes) 2.206 * * [simplify]: iters left: 4 (28 enodes) 2.217 * * [simplify]: iters left: 3 (39 enodes) 2.229 * * [simplify]: iters left: 2 (43 enodes) 2.242 * * [simplify]: Extracting #0: cost 1 inf + 0 2.243 * * [simplify]: Extracting #1: cost 7 inf + 0 2.243 * * [simplify]: Extracting #2: cost 16 inf + 0 2.243 * * [simplify]: Extracting #3: cost 15 inf + 164 2.243 * * [simplify]: Extracting #4: cost 13 inf + 287 2.243 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.244 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.244 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.245 * [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))) 2.245 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.245 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.245 * * [simplify]: iters left: 5 (7 enodes) 2.250 * * [simplify]: iters left: 4 (28 enodes) 2.255 * * [simplify]: iters left: 3 (39 enodes) 2.262 * * [simplify]: iters left: 2 (43 enodes) 2.269 * * [simplify]: Extracting #0: cost 1 inf + 0 2.269 * * [simplify]: Extracting #1: cost 7 inf + 0 2.269 * * [simplify]: Extracting #2: cost 16 inf + 0 2.269 * * [simplify]: Extracting #3: cost 15 inf + 84 2.269 * * [simplify]: Extracting #4: cost 13 inf + 167 2.270 * * [simplify]: Extracting #5: cost 5 inf + 900 2.270 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.270 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.270 * [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))) 2.270 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.271 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.271 * * [simplify]: iters left: 5 (6 enodes) 2.273 * * [simplify]: iters left: 4 (26 enodes) 2.278 * * [simplify]: iters left: 3 (35 enodes) 2.288 * * [simplify]: iters left: 2 (37 enodes) 2.300 * * [simplify]: iters left: 1 (41 enodes) 2.312 * * [simplify]: Extracting #0: cost 1 inf + 0 2.312 * * [simplify]: Extracting #1: cost 7 inf + 0 2.312 * * [simplify]: Extracting #2: cost 11 inf + 2 2.312 * * [simplify]: Extracting #3: cost 13 inf + 3 2.312 * * [simplify]: Extracting #4: cost 12 inf + 4 2.312 * * [simplify]: Extracting #5: cost 6 inf + 412 2.312 * * [simplify]: Extracting #6: cost 2 inf + 821 2.313 * * [simplify]: Extracting #7: cost 0 inf + 1066 2.313 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 2.313 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (sqrt k))) 2.314 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.314 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.314 * * [simplify]: iters left: 4 (6 enodes) 2.318 * * [simplify]: iters left: 3 (25 enodes) 2.327 * * [simplify]: iters left: 2 (36 enodes) 2.335 * * [simplify]: iters left: 1 (40 enodes) 2.345 * * [simplify]: Extracting #0: cost 1 inf + 0 2.345 * * [simplify]: Extracting #1: cost 7 inf + 0 2.345 * * [simplify]: Extracting #2: cost 16 inf + 0 2.345 * * [simplify]: Extracting #3: cost 13 inf + 44 2.345 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.346 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.346 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.346 * [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))) 2.346 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.346 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.346 * * [simplify]: iters left: 4 (6 enodes) 2.348 * * [simplify]: iters left: 3 (25 enodes) 2.353 * * [simplify]: iters left: 2 (36 enodes) 2.359 * * [simplify]: iters left: 1 (40 enodes) 2.365 * * [simplify]: Extracting #0: cost 1 inf + 0 2.365 * * [simplify]: Extracting #1: cost 7 inf + 0 2.365 * * [simplify]: Extracting #2: cost 16 inf + 0 2.366 * * [simplify]: Extracting #3: cost 13 inf + 44 2.366 * * [simplify]: Extracting #4: cost 3 inf + 823 2.366 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.366 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.366 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.366 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.366 * [simplify]: Simplifying (/ (- 1 k) 2) 2.367 * * [simplify]: iters left: 4 (5 enodes) 2.369 * * [simplify]: iters left: 3 (23 enodes) 2.373 * * [simplify]: iters left: 2 (32 enodes) 2.380 * * [simplify]: iters left: 1 (34 enodes) 2.391 * * [simplify]: Extracting #0: cost 1 inf + 0 2.391 * * [simplify]: Extracting #1: cost 7 inf + 0 2.391 * * [simplify]: Extracting #2: cost 11 inf + 2 2.391 * * [simplify]: Extracting #3: cost 10 inf + 4 2.392 * * [simplify]: Extracting #4: cost 4 inf + 337 2.392 * * [simplify]: Extracting #5: cost 0 inf + 584 2.392 * [simplify]: Simplified to (/ (- 1 k) 2) 2.392 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.392 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.393 * [simplify]: Simplifying (/ (- 1 k) 2) 2.393 * * [simplify]: iters left: 4 (5 enodes) 2.397 * * [simplify]: iters left: 3 (23 enodes) 2.405 * * [simplify]: iters left: 2 (32 enodes) 2.414 * * [simplify]: iters left: 1 (34 enodes) 2.425 * * [simplify]: Extracting #0: cost 1 inf + 0 2.425 * * [simplify]: Extracting #1: cost 7 inf + 0 2.425 * * [simplify]: Extracting #2: cost 11 inf + 2 2.425 * * [simplify]: Extracting #3: cost 10 inf + 4 2.425 * * [simplify]: Extracting #4: cost 4 inf + 337 2.426 * * [simplify]: Extracting #5: cost 0 inf + 584 2.426 * [simplify]: Simplified to (/ (- 1 k) 2) 2.426 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.426 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.426 * [simplify]: Simplifying (/ 1 2) 2.427 * * [simplify]: iters left: 2 (3 enodes) 2.430 * * [simplify]: iters left: 1 (12 enodes) 2.434 * * [simplify]: Extracting #0: cost 1 inf + 0 2.434 * * [simplify]: Extracting #1: cost 0 inf + 1 2.434 * [simplify]: Simplified to 1/2 2.434 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.434 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.435 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.435 * * [simplify]: iters left: 5 (7 enodes) 2.439 * * [simplify]: iters left: 4 (32 enodes) 2.448 * * [simplify]: iters left: 3 (57 enodes) 2.460 * * [simplify]: iters left: 2 (90 enodes) 2.480 * * [simplify]: iters left: 1 (170 enodes) 2.553 * * [simplify]: Extracting #0: cost 1 inf + 0 2.553 * * [simplify]: Extracting #1: cost 13 inf + 0 2.553 * * [simplify]: Extracting #2: cost 54 inf + 2 2.554 * * [simplify]: Extracting #3: cost 89 inf + 6 2.555 * * [simplify]: Extracting #4: cost 78 inf + 1344 2.558 * * [simplify]: Extracting #5: cost 20 inf + 14664 2.565 * * [simplify]: Extracting #6: cost 1 inf + 22045 2.573 * * [simplify]: Extracting #7: cost 0 inf + 21300 2.581 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.581 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.582 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 2.582 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.582 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 2.583 * [simplify]: Simplifying (* n (* 2 PI)) 2.583 * * [simplify]: iters left: 4 (5 enodes) 2.586 * * [simplify]: iters left: 3 (19 enodes) 2.592 * * [simplify]: iters left: 2 (27 enodes) 2.604 * * [simplify]: iters left: 1 (32 enodes) 2.612 * * [simplify]: Extracting #0: cost 1 inf + 0 2.612 * * [simplify]: Extracting #1: cost 8 inf + 0 2.612 * * [simplify]: Extracting #2: cost 7 inf + 45 2.613 * * [simplify]: Extracting #3: cost 0 inf + 421 2.613 * [simplify]: Simplified to (* (* PI 2) n) 2.613 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.613 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 2.613 * [simplify]: Simplifying (* n (* 2 PI)) 2.613 * * [simplify]: iters left: 4 (5 enodes) 2.616 * * [simplify]: iters left: 3 (19 enodes) 2.622 * * [simplify]: iters left: 2 (27 enodes) 2.631 * * [simplify]: iters left: 1 (32 enodes) 2.639 * * [simplify]: Extracting #0: cost 1 inf + 0 2.639 * * [simplify]: Extracting #1: cost 8 inf + 0 2.639 * * [simplify]: Extracting #2: cost 7 inf + 45 2.639 * * [simplify]: Extracting #3: cost 0 inf + 421 2.640 * [simplify]: Simplified to (* (* PI 2) n) 2.640 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.640 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 2.640 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 2.640 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.640 * * [simplify]: iters left: 5 (8 enodes) 2.645 * * [simplify]: iters left: 4 (28 enodes) 2.654 * * [simplify]: iters left: 3 (36 enodes) 2.665 * * [simplify]: iters left: 2 (42 enodes) 2.676 * * [simplify]: Extracting #0: cost 1 inf + 0 2.676 * * [simplify]: Extracting #1: cost 8 inf + 0 2.676 * * [simplify]: Extracting #2: cost 17 inf + 0 2.676 * * [simplify]: Extracting #3: cost 12 inf + 145 2.677 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.677 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.678 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.678 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.678 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.679 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 2.679 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.679 * * [simplify]: iters left: 5 (7 enodes) 2.683 * * [simplify]: iters left: 4 (26 enodes) 2.691 * * [simplify]: iters left: 3 (35 enodes) 2.702 * * [simplify]: iters left: 2 (44 enodes) 2.711 * * [simplify]: Extracting #0: cost 1 inf + 0 2.711 * * [simplify]: Extracting #1: cost 8 inf + 0 2.711 * * [simplify]: Extracting #2: cost 18 inf + 0 2.711 * * [simplify]: Extracting #3: cost 15 inf + 74 2.711 * * [simplify]: Extracting #4: cost 8 inf + 554 2.711 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.711 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.711 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.712 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 2.712 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 2.712 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 2.712 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.712 * * [simplify]: iters left: 6 (11 enodes) 2.716 * * [simplify]: iters left: 5 (48 enodes) 2.727 * * [simplify]: iters left: 4 (121 enodes) 2.776 * * [simplify]: iters left: 3 (348 enodes) 3.381 * * [simplify]: Extracting #0: cost 1 inf + 0 3.381 * * [simplify]: Extracting #1: cost 67 inf + 0 3.382 * * [simplify]: Extracting #2: cost 165 inf + 786 3.387 * * [simplify]: Extracting #3: cost 81 inf + 10746 3.399 * * [simplify]: Extracting #4: cost 9 inf + 26018 3.405 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.411 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.418 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.418 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.418 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.418 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.418 * * [simplify]: iters left: 6 (9 enodes) 3.421 * * [simplify]: iters left: 5 (45 enodes) 3.434 * * [simplify]: iters left: 4 (117 enodes) 3.480 * * [simplify]: iters left: 3 (377 enodes) 3.761 * * [simplify]: Extracting #0: cost 1 inf + 0 3.762 * * [simplify]: Extracting #1: cost 79 inf + 0 3.764 * * [simplify]: Extracting #2: cost 191 inf + 659 3.769 * * [simplify]: Extracting #3: cost 100 inf + 13238 3.778 * * [simplify]: Extracting #4: cost 6 inf + 31685 3.787 * * [simplify]: Extracting #5: cost 0 inf + 32539 3.799 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 3.799 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (sqrt k))) 3.799 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 3.800 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 3.800 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 3.800 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 3.800 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 3.800 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 3.800 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.800 * * [simplify]: iters left: 3 (3 enodes) 3.801 * * [simplify]: iters left: 2 (9 enodes) 3.802 * * [simplify]: Extracting #0: cost 1 inf + 0 3.802 * * [simplify]: Extracting #1: cost 3 inf + 0 3.802 * * [simplify]: Extracting #2: cost 5 inf + 0 3.802 * * [simplify]: Extracting #3: cost 4 inf + 1 3.802 * * [simplify]: Extracting #4: cost 0 inf + 405 3.802 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.802 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.802 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 3.802 * [simplify]: Simplifying (sqrt n) 3.803 * * [simplify]: iters left: 1 (2 enodes) 3.803 * * [simplify]: Extracting #0: cost 1 inf + 0 3.803 * * [simplify]: Extracting #1: cost 3 inf + 0 3.803 * * [simplify]: Extracting #2: cost 2 inf + 1 3.803 * * [simplify]: Extracting #3: cost 0 inf + 83 3.803 * [simplify]: Simplified to (sqrt n) 3.803 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.803 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 3.803 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.803 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 3.803 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 3.803 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 3.804 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.804 * * [simplify]: iters left: 6 (16 enodes) 3.809 * * [simplify]: iters left: 5 (65 enodes) 3.821 * * [simplify]: iters left: 4 (111 enodes) 3.862 * * [simplify]: iters left: 3 (296 enodes) 3.992 * * [simplify]: Extracting #0: cost 1 inf + 0 3.992 * * [simplify]: Extracting #1: cost 32 inf + 0 3.992 * * [simplify]: Extracting #2: cost 108 inf + 0 3.993 * * [simplify]: Extracting #3: cost 172 inf + 73 3.995 * * [simplify]: Extracting #4: cost 179 inf + 2941 4.001 * * [simplify]: Extracting #5: cost 95 inf + 23235 4.022 * * [simplify]: Extracting #6: cost 3 inf + 51307 4.034 * * [simplify]: Extracting #7: cost 0 inf + 52368 4.043 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.043 * [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))))) 4.043 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.044 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.044 * * [simplify]: iters left: 6 (15 enodes) 4.049 * * [simplify]: iters left: 5 (63 enodes) 4.065 * * [simplify]: iters left: 4 (104 enodes) 4.104 * * [simplify]: iters left: 3 (240 enodes) 4.206 * * [simplify]: Extracting #0: cost 1 inf + 0 4.206 * * [simplify]: Extracting #1: cost 30 inf + 0 4.206 * * [simplify]: Extracting #2: cost 106 inf + 0 4.207 * * [simplify]: Extracting #3: cost 161 inf + 2 4.207 * * [simplify]: Extracting #4: cost 173 inf + 1531 4.210 * * [simplify]: Extracting #5: cost 96 inf + 16220 4.217 * * [simplify]: Extracting #6: cost 6 inf + 42334 4.226 * * [simplify]: Extracting #7: cost 0 inf + 44847 4.237 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.237 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.237 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.237 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.237 * * [simplify]: iters left: 6 (14 enodes) 4.242 * * [simplify]: iters left: 5 (62 enodes) 4.262 * * [simplify]: iters left: 4 (111 enodes) 4.301 * * [simplify]: iters left: 3 (225 enodes) 4.409 * * [simplify]: Extracting #0: cost 1 inf + 0 4.409 * * [simplify]: Extracting #1: cost 19 inf + 0 4.409 * * [simplify]: Extracting #2: cost 91 inf + 0 4.409 * * [simplify]: Extracting #3: cost 148 inf + 2 4.410 * * [simplify]: Extracting #4: cost 170 inf + 926 4.412 * * [simplify]: Extracting #5: cost 92 inf + 14002 4.418 * * [simplify]: Extracting #6: cost 8 inf + 33133 4.425 * * [simplify]: Extracting #7: cost 0 inf + 35824 4.432 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.432 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.432 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.432 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.432 * * [simplify]: iters left: 6 (14 enodes) 4.437 * * [simplify]: iters left: 5 (62 enodes) 4.452 * * [simplify]: iters left: 4 (111 enodes) 4.484 * * [simplify]: iters left: 3 (225 enodes) 4.560 * * [simplify]: Extracting #0: cost 1 inf + 0 4.560 * * [simplify]: Extracting #1: cost 19 inf + 0 4.561 * * [simplify]: Extracting #2: cost 91 inf + 0 4.565 * * [simplify]: Extracting #3: cost 148 inf + 2 4.566 * * [simplify]: Extracting #4: cost 170 inf + 926 4.569 * * [simplify]: Extracting #5: cost 92 inf + 14002 4.575 * * [simplify]: Extracting #6: cost 8 inf + 33133 4.581 * * [simplify]: Extracting #7: cost 0 inf + 35824 4.589 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.589 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.589 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.589 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.589 * * [simplify]: iters left: 6 (14 enodes) 4.594 * * [simplify]: iters left: 5 (61 enodes) 4.606 * * [simplify]: iters left: 4 (111 enodes) 4.638 * * [simplify]: iters left: 3 (220 enodes) 4.705 * * [simplify]: Extracting #0: cost 1 inf + 0 4.705 * * [simplify]: Extracting #1: cost 20 inf + 0 4.705 * * [simplify]: Extracting #2: cost 114 inf + 0 4.706 * * [simplify]: Extracting #3: cost 189 inf + 2 4.707 * * [simplify]: Extracting #4: cost 150 inf + 9376 4.712 * * [simplify]: Extracting #5: cost 38 inf + 34918 4.719 * * [simplify]: Extracting #6: cost 1 inf + 44171 4.730 * * [simplify]: Extracting #7: cost 0 inf + 44417 4.744 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.744 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.745 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.745 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.745 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.745 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.745 * * [simplify]: iters left: 6 (16 enodes) 4.755 * * [simplify]: iters left: 5 (72 enodes) 4.786 * * [simplify]: iters left: 4 (165 enodes) 4.869 * * [simplify]: iters left: 3 (476 enodes) 5.210 * * [simplify]: Extracting #0: cost 1 inf + 0 5.211 * * [simplify]: Extracting #1: cost 170 inf + 0 5.212 * * [simplify]: Extracting #2: cost 447 inf + 1 5.214 * * [simplify]: Extracting #3: cost 501 inf + 248 5.217 * * [simplify]: Extracting #4: cost 486 inf + 1747 5.224 * * [simplify]: Extracting #5: cost 353 inf + 70193 5.268 * * [simplify]: Extracting #6: cost 59 inf + 284550 5.331 * * [simplify]: Extracting #7: cost 0 inf + 323820 5.398 * * [simplify]: Extracting #8: cost 0 inf + 320986 5.487 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.487 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.487 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.487 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.488 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.488 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.488 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.488 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.488 * * [simplify]: iters left: 6 (11 enodes) 5.493 * * [simplify]: iters left: 5 (46 enodes) 5.502 * * [simplify]: iters left: 4 (79 enodes) 5.517 * * [simplify]: iters left: 3 (137 enodes) 5.548 * * [simplify]: iters left: 2 (284 enodes) 5.648 * * [simplify]: Extracting #0: cost 1 inf + 0 5.648 * * [simplify]: Extracting #1: cost 54 inf + 0 5.648 * * [simplify]: Extracting #2: cost 149 inf + 0 5.649 * * [simplify]: Extracting #3: cost 215 inf + 3 5.650 * * [simplify]: Extracting #4: cost 210 inf + 1215 5.654 * * [simplify]: Extracting #5: cost 147 inf + 16368 5.671 * * [simplify]: Extracting #6: cost 35 inf + 84395 5.697 * * [simplify]: Extracting #7: cost 3 inf + 108051 5.724 * * [simplify]: Extracting #8: cost 0 inf + 109590 5.751 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.751 * [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))))) 5.752 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.752 * * [simplify]: iters left: 6 (11 enodes) 5.758 * * [simplify]: iters left: 5 (45 enodes) 5.776 * * [simplify]: iters left: 4 (68 enodes) 5.799 * * [simplify]: iters left: 3 (112 enodes) 5.844 * * [simplify]: iters left: 2 (229 enodes) 5.934 * * [simplify]: iters left: 1 (483 enodes) 6.190 * * [simplify]: Extracting #0: cost 1 inf + 0 6.190 * * [simplify]: Extracting #1: cost 52 inf + 0 6.191 * * [simplify]: Extracting #2: cost 155 inf + 0 6.193 * * [simplify]: Extracting #3: cost 249 inf + 3 6.197 * * [simplify]: Extracting #4: cost 232 inf + 9023 6.223 * * [simplify]: Extracting #5: cost 65 inf + 101627 6.260 * * [simplify]: Extracting #6: cost 0 inf + 127979 6.303 * * [simplify]: Extracting #7: cost 0 inf + 115379 6.331 * * [simplify]: Extracting #8: cost 0 inf + 113486 6.380 * * [simplify]: Extracting #9: cost 0 inf + 113406 6.409 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.410 * [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))))) 6.410 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.410 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.410 * * [simplify]: iters left: 6 (11 enodes) 6.414 * * [simplify]: iters left: 5 (45 enodes) 6.429 * * [simplify]: iters left: 4 (72 enodes) 6.452 * * [simplify]: iters left: 3 (115 enodes) 6.486 * * [simplify]: iters left: 2 (216 enodes) 6.539 * * [simplify]: iters left: 1 (460 enodes) 6.779 * * [simplify]: Extracting #0: cost 1 inf + 0 6.779 * * [simplify]: Extracting #1: cost 44 inf + 0 6.780 * * [simplify]: Extracting #2: cost 144 inf + 0 6.781 * * [simplify]: Extracting #3: cost 221 inf + 4 6.782 * * [simplify]: Extracting #4: cost 197 inf + 7315 6.788 * * [simplify]: Extracting #5: cost 98 inf + 48543 6.806 * * [simplify]: Extracting #6: cost 11 inf + 112282 6.829 * * [simplify]: Extracting #7: cost 0 inf + 118906 6.853 * * [simplify]: Extracting #8: cost 0 inf + 117693 6.868 * * [simplify]: Extracting #9: cost 0 inf + 116981 6.886 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.886 * [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))))) 6.886 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.886 * * [simplify]: iters left: 6 (11 enodes) 6.893 * * [simplify]: iters left: 5 (45 enodes) 6.902 * * [simplify]: iters left: 4 (68 enodes) 6.917 * * [simplify]: iters left: 3 (112 enodes) 6.951 * * [simplify]: iters left: 2 (229 enodes) 7.032 * * [simplify]: iters left: 1 (483 enodes) 7.272 * * [simplify]: Extracting #0: cost 1 inf + 0 7.272 * * [simplify]: Extracting #1: cost 52 inf + 0 7.273 * * [simplify]: Extracting #2: cost 155 inf + 0 7.274 * * [simplify]: Extracting #3: cost 249 inf + 3 7.276 * * [simplify]: Extracting #4: cost 232 inf + 9063 7.294 * * [simplify]: Extracting #5: cost 65 inf + 101707 7.332 * * [simplify]: Extracting #6: cost 0 inf + 128059 7.365 * * [simplify]: Extracting #7: cost 0 inf + 115459 7.411 * * [simplify]: Extracting #8: cost 0 inf + 113566 7.443 * * [simplify]: Extracting #9: cost 0 inf + 113486 7.493 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.493 * [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))))) 7.493 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.493 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.493 * * [simplify]: iters left: 6 (10 enodes) 7.498 * * [simplify]: iters left: 5 (41 enodes) 7.506 * * [simplify]: iters left: 4 (68 enodes) 7.521 * * [simplify]: iters left: 3 (111 enodes) 7.554 * * [simplify]: iters left: 2 (208 enodes) 7.606 * * [simplify]: iters left: 1 (454 enodes) 7.844 * * [simplify]: Extracting #0: cost 1 inf + 0 7.844 * * [simplify]: Extracting #1: cost 44 inf + 0 7.845 * * [simplify]: Extracting #2: cost 150 inf + 0 7.847 * * [simplify]: Extracting #3: cost 229 inf + 4 7.849 * * [simplify]: Extracting #4: cost 227 inf + 1503 7.857 * * [simplify]: Extracting #5: cost 150 inf + 22450 7.883 * * [simplify]: Extracting #6: cost 24 inf + 107797 7.917 * * [simplify]: Extracting #7: cost 0 inf + 122587 7.951 * * [simplify]: Extracting #8: cost 0 inf + 121457 7.968 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.968 * [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))))) 7.969 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.969 * * [simplify]: iters left: 6 (11 enodes) 7.973 * * [simplify]: iters left: 5 (45 enodes) 7.987 * * [simplify]: iters left: 4 (68 enodes) 8.009 * * [simplify]: iters left: 3 (112 enodes) 8.047 * * [simplify]: iters left: 2 (229 enodes) 8.098 * * [simplify]: iters left: 1 (483 enodes) 8.370 * * [simplify]: Extracting #0: cost 1 inf + 0 8.370 * * [simplify]: Extracting #1: cost 52 inf + 0 8.371 * * [simplify]: Extracting #2: cost 155 inf + 0 8.372 * * [simplify]: Extracting #3: cost 249 inf + 3 8.374 * * [simplify]: Extracting #4: cost 232 inf + 8863 8.394 * * [simplify]: Extracting #5: cost 65 inf + 99107 8.444 * * [simplify]: Extracting #6: cost 0 inf + 124579 8.489 * * [simplify]: Extracting #7: cost 0 inf + 111979 8.545 * * [simplify]: Extracting #8: cost 0 inf + 110086 8.598 * * [simplify]: Extracting #9: cost 0 inf + 110006 8.652 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.652 * [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))))) 8.652 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.653 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.653 * * [simplify]: iters left: 6 (9 enodes) 8.659 * * [simplify]: iters left: 5 (38 enodes) 8.672 * * [simplify]: iters left: 4 (63 enodes) 8.692 * * [simplify]: iters left: 3 (104 enodes) 8.721 * * [simplify]: iters left: 2 (197 enodes) 8.778 * * [simplify]: iters left: 1 (427 enodes) 8.994 * * [simplify]: Extracting #0: cost 1 inf + 0 8.995 * * [simplify]: Extracting #1: cost 58 inf + 0 8.995 * * [simplify]: Extracting #2: cost 160 inf + 3 8.996 * * [simplify]: Extracting #3: cost 212 inf + 8 8.997 * * [simplify]: Extracting #4: cost 189 inf + 3421 9.002 * * [simplify]: Extracting #5: cost 94 inf + 28955 9.019 * * [simplify]: Extracting #6: cost 13 inf + 88735 9.039 * * [simplify]: Extracting #7: cost 0 inf + 94184 9.054 * * [simplify]: Extracting #8: cost 0 inf + 91292 9.081 * * [simplify]: Extracting #9: cost 0 inf + 90659 9.105 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 9.105 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.105 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.105 * * [simplify]: iters left: 6 (10 enodes) 9.109 * * [simplify]: iters left: 5 (42 enodes) 9.116 * * [simplify]: iters left: 4 (65 enodes) 9.130 * * [simplify]: iters left: 3 (106 enodes) 9.159 * * [simplify]: iters left: 2 (218 enodes) 9.223 * * [simplify]: iters left: 1 (463 enodes) 9.460 * * [simplify]: Extracting #0: cost 1 inf + 0 9.460 * * [simplify]: Extracting #1: cost 47 inf + 0 9.460 * * [simplify]: Extracting #2: cost 142 inf + 0 9.461 * * [simplify]: Extracting #3: cost 225 inf + 45 9.463 * * [simplify]: Extracting #4: cost 225 inf + 847 9.465 * * [simplify]: Extracting #5: cost 159 inf + 12032 9.479 * * [simplify]: Extracting #6: cost 48 inf + 76840 9.494 * * [simplify]: Extracting #7: cost 0 inf + 117592 9.509 * * [simplify]: Extracting #8: cost 0 inf + 117021 9.524 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.524 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.524 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.524 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.525 * * [simplify]: iters left: 6 (10 enodes) 9.528 * * [simplify]: iters left: 5 (41 enodes) 9.536 * * [simplify]: iters left: 4 (68 enodes) 9.553 * * [simplify]: iters left: 3 (111 enodes) 9.580 * * [simplify]: iters left: 2 (208 enodes) 9.640 * * [simplify]: iters left: 1 (454 enodes) 9.832 * * [simplify]: Extracting #0: cost 1 inf + 0 9.832 * * [simplify]: Extracting #1: cost 44 inf + 0 9.832 * * [simplify]: Extracting #2: cost 150 inf + 0 9.833 * * [simplify]: Extracting #3: cost 229 inf + 4 9.834 * * [simplify]: Extracting #4: cost 227 inf + 1503 9.838 * * [simplify]: Extracting #5: cost 150 inf + 22450 9.859 * * [simplify]: Extracting #6: cost 24 inf + 107797 9.882 * * [simplify]: Extracting #7: cost 0 inf + 122587 9.899 * * [simplify]: Extracting #8: cost 0 inf + 121457 9.933 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.933 * [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))))) 9.934 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.934 * * [simplify]: iters left: 6 (11 enodes) 9.940 * * [simplify]: iters left: 5 (45 enodes) 9.958 * * [simplify]: iters left: 4 (68 enodes) 9.981 * * [simplify]: iters left: 3 (112 enodes) 10.005 * * [simplify]: iters left: 2 (229 enodes) 10.066 * * [simplify]: iters left: 1 (483 enodes) 10.300 * * [simplify]: Extracting #0: cost 1 inf + 0 10.300 * * [simplify]: Extracting #1: cost 52 inf + 0 10.301 * * [simplify]: Extracting #2: cost 155 inf + 0 10.303 * * [simplify]: Extracting #3: cost 249 inf + 3 10.307 * * [simplify]: Extracting #4: cost 232 inf + 8863 10.344 * * [simplify]: Extracting #5: cost 65 inf + 99107 10.408 * * [simplify]: Extracting #6: cost 0 inf + 124579 10.442 * * [simplify]: Extracting #7: cost 0 inf + 111979 10.470 * * [simplify]: Extracting #8: cost 0 inf + 110086 10.513 * * [simplify]: Extracting #9: cost 0 inf + 110006 10.570 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 10.570 * [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))))) 10.570 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 10.570 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 10.571 * * [simplify]: iters left: 6 (8 enodes) 10.576 * * [simplify]: iters left: 5 (33 enodes) 10.588 * * [simplify]: iters left: 4 (56 enodes) 10.601 * * [simplify]: iters left: 3 (104 enodes) 10.630 * * [simplify]: iters left: 2 (223 enodes) 10.728 * * [simplify]: Extracting #0: cost 1 inf + 0 10.728 * * [simplify]: Extracting #1: cost 32 inf + 0 10.729 * * [simplify]: Extracting #2: cost 98 inf + 3 10.729 * * [simplify]: Extracting #3: cost 138 inf + 7 10.731 * * [simplify]: Extracting #4: cost 130 inf + 1348 10.736 * * [simplify]: Extracting #5: cost 55 inf + 20399 10.745 * * [simplify]: Extracting #6: cost 2 inf + 49414 10.752 * * [simplify]: Extracting #7: cost 0 inf + 50164 10.758 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 10.758 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.758 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.758 * * [simplify]: iters left: 6 (10 enodes) 10.762 * * [simplify]: iters left: 5 (42 enodes) 10.775 * * [simplify]: iters left: 4 (65 enodes) 10.797 * * [simplify]: iters left: 3 (106 enodes) 10.836 * * [simplify]: iters left: 2 (218 enodes) 10.911 * * [simplify]: iters left: 1 (463 enodes) 11.186 * * [simplify]: Extracting #0: cost 1 inf + 0 11.186 * * [simplify]: Extracting #1: cost 47 inf + 0 11.186 * * [simplify]: Extracting #2: cost 142 inf + 0 11.187 * * [simplify]: Extracting #3: cost 225 inf + 45 11.188 * * [simplify]: Extracting #4: cost 225 inf + 847 11.191 * * [simplify]: Extracting #5: cost 159 inf + 12032 11.200 * * [simplify]: Extracting #6: cost 48 inf + 76840 11.227 * * [simplify]: Extracting #7: cost 0 inf + 117592 11.257 * * [simplify]: Extracting #8: cost 0 inf + 117021 11.291 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 11.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 11.292 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 11.292 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 11.292 * * [simplify]: iters left: 6 (16 enodes) 11.301 * * [simplify]: iters left: 5 (69 enodes) 11.325 * * [simplify]: iters left: 4 (117 enodes) 11.346 * * [simplify]: iters left: 3 (166 enodes) 11.381 * * [simplify]: iters left: 2 (250 enodes) 11.446 * * [simplify]: iters left: 1 (419 enodes) 11.602 * * [simplify]: Extracting #0: cost 1 inf + 0 11.602 * * [simplify]: Extracting #1: cost 11 inf + 0 11.602 * * [simplify]: Extracting #2: cost 22 inf + 0 11.602 * * [simplify]: Extracting #3: cost 51 inf + 0 11.603 * * [simplify]: Extracting #4: cost 125 inf + 2 11.604 * * [simplify]: Extracting #5: cost 163 inf + 829 11.609 * * [simplify]: Extracting #6: cost 112 inf + 10367 11.626 * * [simplify]: Extracting #7: cost 21 inf + 48157 11.652 * * [simplify]: Extracting #8: cost 1 inf + 61348 11.668 * * [simplify]: Extracting #9: cost 0 inf + 61495 11.683 * [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)))) 11.683 * [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))))) 11.684 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.684 * * [simplify]: iters left: 6 (14 enodes) 11.688 * * [simplify]: iters left: 5 (57 enodes) 11.699 * * [simplify]: iters left: 4 (90 enodes) 11.725 * * [simplify]: iters left: 3 (129 enodes) 11.749 * * [simplify]: iters left: 2 (209 enodes) 11.822 * * [simplify]: iters left: 1 (388 enodes) 11.990 * * [simplify]: Extracting #0: cost 1 inf + 0 11.990 * * [simplify]: Extracting #1: cost 4 inf + 0 11.990 * * [simplify]: Extracting #2: cost 8 inf + 0 11.990 * * [simplify]: Extracting #3: cost 37 inf + 0 11.990 * * [simplify]: Extracting #4: cost 114 inf + 164 11.991 * * [simplify]: Extracting #5: cost 155 inf + 874 11.993 * * [simplify]: Extracting #6: cost 102 inf + 8027 11.999 * * [simplify]: Extracting #7: cost 43 inf + 35749 12.017 * * [simplify]: Extracting #8: cost 7 inf + 63995 12.041 * * [simplify]: Extracting #9: cost 0 inf + 70197 12.062 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 12.062 * [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))))) 12.062 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 12.063 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 12.063 * * [simplify]: iters left: 6 (16 enodes) 12.073 * * [simplify]: iters left: 5 (66 enodes) 12.095 * * [simplify]: iters left: 4 (103 enodes) 12.127 * * [simplify]: iters left: 3 (144 enodes) 12.174 * * [simplify]: iters left: 2 (224 enodes) 12.233 * * [simplify]: iters left: 1 (400 enodes) 12.423 * * [simplify]: Extracting #0: cost 1 inf + 0 12.423 * * [simplify]: Extracting #1: cost 7 inf + 0 12.423 * * [simplify]: Extracting #2: cost 15 inf + 0 12.423 * * [simplify]: Extracting #3: cost 46 inf + 0 12.424 * * [simplify]: Extracting #4: cost 118 inf + 204 12.426 * * [simplify]: Extracting #5: cost 157 inf + 990 12.430 * * [simplify]: Extracting #6: cost 109 inf + 10485 12.436 * * [simplify]: Extracting #7: cost 42 inf + 38454 12.448 * * [simplify]: Extracting #8: cost 2 inf + 67871 12.459 * * [simplify]: Extracting #9: cost 0 inf + 66803 12.480 * * [simplify]: Extracting #10: cost 0 inf + 66762 12.494 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 12.494 * [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))))) 12.495 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 12.495 * * [simplify]: iters left: 6 (14 enodes) 12.499 * * [simplify]: iters left: 5 (57 enodes) 12.510 * * [simplify]: iters left: 4 (90 enodes) 12.530 * * [simplify]: iters left: 3 (129 enodes) 12.572 * * [simplify]: iters left: 2 (209 enodes) 12.630 * * [simplify]: iters left: 1 (388 enodes) 12.765 * * [simplify]: Extracting #0: cost 1 inf + 0 12.765 * * [simplify]: Extracting #1: cost 4 inf + 0 12.765 * * [simplify]: Extracting #2: cost 8 inf + 0 12.765 * * [simplify]: Extracting #3: cost 37 inf + 0 12.766 * * [simplify]: Extracting #4: cost 114 inf + 204 12.767 * * [simplify]: Extracting #5: cost 155 inf + 954 12.771 * * [simplify]: Extracting #6: cost 102 inf + 8107 12.778 * * [simplify]: Extracting #7: cost 43 inf + 35829 12.787 * * [simplify]: Extracting #8: cost 7 inf + 64075 12.800 * * [simplify]: Extracting #9: cost 0 inf + 70277 12.813 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.813 * [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))))) 12.813 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.814 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.814 * * [simplify]: iters left: 6 (15 enodes) 12.820 * * [simplify]: iters left: 5 (62 enodes) 12.831 * * [simplify]: iters left: 4 (99 enodes) 12.848 * * [simplify]: iters left: 3 (144 enodes) 12.876 * * [simplify]: iters left: 2 (229 enodes) 12.959 * * [simplify]: iters left: 1 (404 enodes) 13.118 * * [simplify]: Extracting #0: cost 1 inf + 0 13.118 * * [simplify]: Extracting #1: cost 7 inf + 0 13.118 * * [simplify]: Extracting #2: cost 14 inf + 0 13.118 * * [simplify]: Extracting #3: cost 44 inf + 0 13.119 * * [simplify]: Extracting #4: cost 122 inf + 43 13.120 * * [simplify]: Extracting #5: cost 161 inf + 1676 13.124 * * [simplify]: Extracting #6: cost 105 inf + 13384 13.135 * * [simplify]: Extracting #7: cost 40 inf + 39339 13.155 * * [simplify]: Extracting #8: cost 2 inf + 71174 13.176 * * [simplify]: Extracting #9: cost 0 inf + 71571 13.196 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 13.196 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.197 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.197 * * [simplify]: iters left: 6 (14 enodes) 13.205 * * [simplify]: iters left: 5 (57 enodes) 13.221 * * [simplify]: iters left: 4 (90 enodes) 13.237 * * [simplify]: iters left: 3 (129 enodes) 13.278 * * [simplify]: iters left: 2 (209 enodes) 13.360 * * [simplify]: iters left: 1 (388 enodes) 13.541 * * [simplify]: Extracting #0: cost 1 inf + 0 13.542 * * [simplify]: Extracting #1: cost 4 inf + 0 13.542 * * [simplify]: Extracting #2: cost 8 inf + 0 13.542 * * [simplify]: Extracting #3: cost 37 inf + 0 13.542 * * [simplify]: Extracting #4: cost 114 inf + 124 13.544 * * [simplify]: Extracting #5: cost 155 inf + 794 13.548 * * [simplify]: Extracting #6: cost 102 inf + 7947 13.559 * * [simplify]: Extracting #7: cost 43 inf + 35589 13.578 * * [simplify]: Extracting #8: cost 7 inf + 63835 13.598 * * [simplify]: Extracting #9: cost 0 inf + 70037 13.608 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.608 * [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))))) 13.609 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.609 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.609 * * [simplify]: iters left: 6 (14 enodes) 13.614 * * [simplify]: iters left: 5 (59 enodes) 13.627 * * [simplify]: iters left: 4 (96 enodes) 13.649 * * [simplify]: iters left: 3 (138 enodes) 13.674 * * [simplify]: iters left: 2 (219 enodes) 13.747 * * [simplify]: iters left: 1 (402 enodes) 13.909 * * [simplify]: Extracting #0: cost 1 inf + 0 13.909 * * [simplify]: Extracting #1: cost 5 inf + 0 13.909 * * [simplify]: Extracting #2: cost 7 inf + 1 13.910 * * [simplify]: Extracting #3: cost 35 inf + 1 13.910 * * [simplify]: Extracting #4: cost 110 inf + 2 13.912 * * [simplify]: Extracting #5: cost 169 inf + 218 13.913 * * [simplify]: Extracting #6: cost 169 inf + 1019 13.917 * * [simplify]: Extracting #7: cost 103 inf + 9959 13.931 * * [simplify]: Extracting #8: cost 30 inf + 40108 13.950 * * [simplify]: Extracting #9: cost 0 inf + 66758 13.970 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.970 * [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)))) 13.971 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.971 * * [simplify]: iters left: 6 (13 enodes) 13.979 * * [simplify]: iters left: 5 (54 enodes) 13.997 * * [simplify]: iters left: 4 (87 enodes) 14.015 * * [simplify]: iters left: 3 (130 enodes) 14.051 * * [simplify]: iters left: 2 (211 enodes) 14.111 * * [simplify]: iters left: 1 (391 enodes) 14.278 * * [simplify]: Extracting #0: cost 1 inf + 0 14.278 * * [simplify]: Extracting #1: cost 4 inf + 0 14.278 * * [simplify]: Extracting #2: cost 8 inf + 0 14.278 * * [simplify]: Extracting #3: cost 31 inf + 83 14.279 * * [simplify]: Extracting #4: cost 111 inf + 84 14.279 * * [simplify]: Extracting #5: cost 159 inf + 384 14.281 * * [simplify]: Extracting #6: cost 115 inf + 6135 14.286 * * [simplify]: Extracting #7: cost 40 inf + 33823 14.307 * * [simplify]: Extracting #8: cost 1 inf + 63208 14.331 * * [simplify]: Extracting #9: cost 0 inf + 63835 14.352 * * [simplify]: Extracting #10: cost 0 inf + 63795 14.367 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.367 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 14.368 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 14.368 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 14.368 * * [simplify]: iters left: 6 (15 enodes) 14.373 * * [simplify]: iters left: 5 (62 enodes) 14.384 * * [simplify]: iters left: 4 (99 enodes) 14.410 * * [simplify]: iters left: 3 (144 enodes) 14.441 * * [simplify]: iters left: 2 (229 enodes) 14.524 * * [simplify]: iters left: 1 (404 enodes) 14.727 * * [simplify]: Extracting #0: cost 1 inf + 0 14.727 * * [simplify]: Extracting #1: cost 7 inf + 0 14.727 * * [simplify]: Extracting #2: cost 14 inf + 0 14.728 * * [simplify]: Extracting #3: cost 44 inf + 0 14.728 * * [simplify]: Extracting #4: cost 122 inf + 43 14.730 * * [simplify]: Extracting #5: cost 161 inf + 1676 14.734 * * [simplify]: Extracting #6: cost 105 inf + 13384 14.745 * * [simplify]: Extracting #7: cost 40 inf + 39339 14.758 * * [simplify]: Extracting #8: cost 2 inf + 71174 14.768 * * [simplify]: Extracting #9: cost 0 inf + 71571 14.780 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 14.780 * [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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.780 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.781 * * [simplify]: iters left: 6 (14 enodes) 14.793 * * [simplify]: iters left: 5 (57 enodes) 14.804 * * [simplify]: iters left: 4 (90 enodes) 14.820 * * [simplify]: iters left: 3 (129 enodes) 14.862 * * [simplify]: iters left: 2 (209 enodes) 14.917 * * [simplify]: iters left: 1 (388 enodes) 15.083 * * [simplify]: Extracting #0: cost 1 inf + 0 15.083 * * [simplify]: Extracting #1: cost 4 inf + 0 15.083 * * [simplify]: Extracting #2: cost 8 inf + 0 15.083 * * [simplify]: Extracting #3: cost 37 inf + 0 15.083 * * [simplify]: Extracting #4: cost 114 inf + 124 15.084 * * [simplify]: Extracting #5: cost 155 inf + 794 15.086 * * [simplify]: Extracting #6: cost 102 inf + 7947 15.092 * * [simplify]: Extracting #7: cost 43 inf + 35589 15.108 * * [simplify]: Extracting #8: cost 7 inf + 63835 15.128 * * [simplify]: Extracting #9: cost 0 inf + 70037 15.148 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 15.148 * [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))))) 15.148 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 15.149 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 15.149 * * [simplify]: iters left: 6 (13 enodes) 15.157 * * [simplify]: iters left: 5 (54 enodes) 15.176 * * [simplify]: iters left: 4 (95 enodes) 15.206 * * [simplify]: iters left: 3 (139 enodes) 15.234 * * [simplify]: iters left: 2 (220 enodes) 15.287 * * [simplify]: iters left: 1 (398 enodes) 15.468 * * [simplify]: Extracting #0: cost 1 inf + 0 15.468 * * [simplify]: Extracting #1: cost 5 inf + 0 15.468 * * [simplify]: Extracting #2: cost 7 inf + 1 15.468 * * [simplify]: Extracting #3: cost 36 inf + 1 15.468 * * [simplify]: Extracting #4: cost 116 inf + 2 15.469 * * [simplify]: Extracting #5: cost 176 inf + 176 15.471 * * [simplify]: Extracting #6: cost 148 inf + 5073 15.476 * * [simplify]: Extracting #7: cost 49 inf + 28737 15.488 * * [simplify]: Extracting #8: cost 2 inf + 65576 15.508 * * [simplify]: Extracting #9: cost 0 inf + 64747 15.528 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 15.528 * [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)))) 15.528 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 15.528 * * [simplify]: iters left: 6 (13 enodes) 15.533 * * [simplify]: iters left: 5 (54 enodes) 15.546 * * [simplify]: iters left: 4 (87 enodes) 15.565 * * [simplify]: iters left: 3 (130 enodes) 15.589 * * [simplify]: iters left: 2 (211 enodes) 15.671 * * [simplify]: iters left: 1 (391 enodes) 15.862 * * [simplify]: Extracting #0: cost 1 inf + 0 15.863 * * [simplify]: Extracting #1: cost 4 inf + 0 15.863 * * [simplify]: Extracting #2: cost 8 inf + 0 15.863 * * [simplify]: Extracting #3: cost 31 inf + 83 15.863 * * [simplify]: Extracting #4: cost 111 inf + 84 15.864 * * [simplify]: Extracting #5: cost 159 inf + 384 15.865 * * [simplify]: Extracting #6: cost 115 inf + 6135 15.870 * * [simplify]: Extracting #7: cost 40 inf + 33823 15.887 * * [simplify]: Extracting #8: cost 1 inf + 63208 15.897 * * [simplify]: Extracting #9: cost 0 inf + 63835 15.907 * * [simplify]: Extracting #10: cost 0 inf + 63795 15.917 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 15.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 15.918 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.918 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.918 * * [simplify]: iters left: 6 (15 enodes) 15.923 * * [simplify]: iters left: 5 (62 enodes) 15.934 * * [simplify]: iters left: 4 (98 enodes) 15.952 * * [simplify]: iters left: 3 (136 enodes) 15.982 * * [simplify]: iters left: 2 (216 enodes) 16.035 * * [simplify]: iters left: 1 (397 enodes) 16.173 * * [simplify]: Extracting #0: cost 1 inf + 0 16.173 * * [simplify]: Extracting #1: cost 6 inf + 0 16.173 * * [simplify]: Extracting #2: cost 13 inf + 0 16.173 * * [simplify]: Extracting #3: cost 49 inf + 0 16.174 * * [simplify]: Extracting #4: cost 135 inf + 2 16.175 * * [simplify]: Extracting #5: cost 168 inf + 1533 16.177 * * [simplify]: Extracting #6: cost 112 inf + 10666 16.183 * * [simplify]: Extracting #7: cost 35 inf + 39737 16.204 * * [simplify]: Extracting #8: cost 0 inf + 71468 16.218 * * [simplify]: Extracting #9: cost 0 inf + 70143 16.231 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 16.231 * [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))))) 16.231 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 16.232 * * [simplify]: iters left: 6 (14 enodes) 16.236 * * [simplify]: iters left: 5 (57 enodes) 16.246 * * [simplify]: iters left: 4 (91 enodes) 16.261 * * [simplify]: iters left: 3 (129 enodes) 16.304 * * [simplify]: iters left: 2 (209 enodes) 16.370 * * [simplify]: iters left: 1 (391 enodes) 16.496 * * [simplify]: Extracting #0: cost 1 inf + 0 16.497 * * [simplify]: Extracting #1: cost 4 inf + 0 16.497 * * [simplify]: Extracting #2: cost 9 inf + 0 16.497 * * [simplify]: Extracting #3: cost 45 inf + 0 16.497 * * [simplify]: Extracting #4: cost 130 inf + 164 16.498 * * [simplify]: Extracting #5: cost 160 inf + 711 16.503 * * [simplify]: Extracting #6: cost 102 inf + 10009 16.509 * * [simplify]: Extracting #7: cost 31 inf + 43235 16.519 * * [simplify]: Extracting #8: cost 0 inf + 70241 16.537 * * [simplify]: Extracting #9: cost 0 inf + 68697 16.554 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 16.554 * [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) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 16.554 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 16.555 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.555 * * [simplify]: iters left: 6 (15 enodes) 16.560 * * [simplify]: iters left: 5 (61 enodes) 16.571 * * [simplify]: iters left: 4 (95 enodes) 16.587 * * [simplify]: iters left: 3 (133 enodes) 16.617 * * [simplify]: iters left: 2 (213 enodes) 16.672 * * [simplify]: iters left: 1 (398 enodes) 16.827 * * [simplify]: Extracting #0: cost 1 inf + 0 16.828 * * [simplify]: Extracting #1: cost 4 inf + 0 16.828 * * [simplify]: Extracting #2: cost 10 inf + 0 16.828 * * [simplify]: Extracting #3: cost 46 inf + 0 16.828 * * [simplify]: Extracting #4: cost 131 inf + 204 16.829 * * [simplify]: Extracting #5: cost 161 inf + 1983 16.831 * * [simplify]: Extracting #6: cost 92 inf + 13405 16.837 * * [simplify]: Extracting #7: cost 38 inf + 35888 16.848 * * [simplify]: Extracting #8: cost 0 inf + 69779 16.862 * * [simplify]: Extracting #9: cost 0 inf + 68337 16.880 * * [simplify]: Extracting #10: cost 0 inf + 68297 16.891 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.891 * [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))))) 16.891 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.891 * * [simplify]: iters left: 6 (14 enodes) 16.895 * * [simplify]: iters left: 5 (57 enodes) 16.905 * * [simplify]: iters left: 4 (91 enodes) 16.929 * * [simplify]: iters left: 3 (129 enodes) 16.973 * * [simplify]: iters left: 2 (209 enodes) 17.026 * * [simplify]: iters left: 1 (391 enodes) 17.175 * * [simplify]: Extracting #0: cost 1 inf + 0 17.175 * * [simplify]: Extracting #1: cost 4 inf + 0 17.175 * * [simplify]: Extracting #2: cost 9 inf + 0 17.175 * * [simplify]: Extracting #3: cost 45 inf + 0 17.176 * * [simplify]: Extracting #4: cost 130 inf + 204 17.177 * * [simplify]: Extracting #5: cost 160 inf + 791 17.181 * * [simplify]: Extracting #6: cost 102 inf + 10089 17.194 * * [simplify]: Extracting #7: cost 31 inf + 43315 17.214 * * [simplify]: Extracting #8: cost 0 inf + 70321 17.225 * * [simplify]: Extracting #9: cost 0 inf + 68777 17.236 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 17.236 * [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) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 17.236 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 17.236 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.236 * * [simplify]: iters left: 6 (14 enodes) 17.241 * * [simplify]: iters left: 5 (57 enodes) 17.254 * * [simplify]: iters left: 4 (91 enodes) 17.269 * * [simplify]: iters left: 3 (129 enodes) 17.302 * * [simplify]: iters left: 2 (209 enodes) 17.354 * * [simplify]: iters left: 1 (391 enodes) 17.474 * * [simplify]: Extracting #0: cost 1 inf + 0 17.474 * * [simplify]: Extracting #1: cost 4 inf + 0 17.474 * * [simplify]: Extracting #2: cost 9 inf + 0 17.474 * * [simplify]: Extracting #3: cost 45 inf + 0 17.475 * * [simplify]: Extracting #4: cost 130 inf + 124 17.475 * * [simplify]: Extracting #5: cost 160 inf + 631 17.477 * * [simplify]: Extracting #6: cost 102 inf + 9929 17.488 * * [simplify]: Extracting #7: cost 31 inf + 43075 17.508 * * [simplify]: Extracting #8: cost 0 inf + 70081 17.529 * * [simplify]: Extracting #9: cost 0 inf + 68537 17.545 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 17.545 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.546 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.546 * * [simplify]: iters left: 6 (14 enodes) 17.550 * * [simplify]: iters left: 5 (57 enodes) 17.561 * * [simplify]: iters left: 4 (91 enodes) 17.584 * * [simplify]: iters left: 3 (129 enodes) 17.619 * * [simplify]: iters left: 2 (209 enodes) 17.678 * * [simplify]: iters left: 1 (391 enodes) 17.828 * * [simplify]: Extracting #0: cost 1 inf + 0 17.828 * * [simplify]: Extracting #1: cost 4 inf + 0 17.829 * * [simplify]: Extracting #2: cost 9 inf + 0 17.829 * * [simplify]: Extracting #3: cost 45 inf + 0 17.829 * * [simplify]: Extracting #4: cost 130 inf + 124 17.831 * * [simplify]: Extracting #5: cost 160 inf + 631 17.839 * * [simplify]: Extracting #6: cost 102 inf + 9929 17.852 * * [simplify]: Extracting #7: cost 31 inf + 43075 17.873 * * [simplify]: Extracting #8: cost 0 inf + 70081 17.894 * * [simplify]: Extracting #9: cost 0 inf + 68537 17.915 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 17.915 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 17.916 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.916 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.916 * * [simplify]: iters left: 6 (13 enodes) 17.925 * * [simplify]: iters left: 5 (54 enodes) 17.944 * * [simplify]: iters left: 4 (88 enodes) 17.971 * * [simplify]: iters left: 3 (129 enodes) 18.008 * * [simplify]: iters left: 2 (210 enodes) 18.086 * * [simplify]: iters left: 1 (396 enodes) 18.214 * * [simplify]: Extracting #0: cost 1 inf + 0 18.215 * * [simplify]: Extracting #1: cost 5 inf + 0 18.215 * * [simplify]: Extracting #2: cost 37 inf + 1 18.215 * * [simplify]: Extracting #3: cost 132 inf + 2 18.216 * * [simplify]: Extracting #4: cost 179 inf + 177 18.217 * * [simplify]: Extracting #5: cost 164 inf + 1348 18.219 * * [simplify]: Extracting #6: cost 87 inf + 12163 18.226 * * [simplify]: Extracting #7: cost 26 inf + 48032 18.236 * * [simplify]: Extracting #8: cost 0 inf + 71186 18.247 * * [simplify]: Extracting #9: cost 0 inf + 70673 18.261 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 18.261 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.262 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.262 * * [simplify]: iters left: 6 (13 enodes) 18.269 * * [simplify]: iters left: 5 (54 enodes) 18.288 * * [simplify]: iters left: 4 (88 enodes) 18.305 * * [simplify]: iters left: 3 (127 enodes) 18.328 * * [simplify]: iters left: 2 (207 enodes) 18.379 * * [simplify]: iters left: 1 (391 enodes) 18.544 * * [simplify]: Extracting #0: cost 1 inf + 0 18.544 * * [simplify]: Extracting #1: cost 4 inf + 0 18.544 * * [simplify]: Extracting #2: cost 9 inf + 0 18.544 * * [simplify]: Extracting #3: cost 34 inf + 1 18.545 * * [simplify]: Extracting #4: cost 123 inf + 84 18.545 * * [simplify]: Extracting #5: cost 154 inf + 840 18.548 * * [simplify]: Extracting #6: cost 99 inf + 12682 18.554 * * [simplify]: Extracting #7: cost 29 inf + 41349 18.570 * * [simplify]: Extracting #8: cost 0 inf + 64449 18.591 * * [simplify]: Extracting #9: cost 0 inf + 63241 18.612 * * [simplify]: Extracting #10: cost 0 inf + 61822 18.634 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 18.634 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 18.634 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 18.635 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.635 * * [simplify]: iters left: 6 (14 enodes) 18.643 * * [simplify]: iters left: 5 (57 enodes) 18.662 * * [simplify]: iters left: 4 (91 enodes) 18.680 * * [simplify]: iters left: 3 (129 enodes) 18.704 * * [simplify]: iters left: 2 (209 enodes) 18.752 * * [simplify]: iters left: 1 (391 enodes) 18.935 * * [simplify]: Extracting #0: cost 1 inf + 0 18.936 * * [simplify]: Extracting #1: cost 4 inf + 0 18.936 * * [simplify]: Extracting #2: cost 9 inf + 0 18.936 * * [simplify]: Extracting #3: cost 45 inf + 0 18.936 * * [simplify]: Extracting #4: cost 130 inf + 124 18.937 * * [simplify]: Extracting #5: cost 160 inf + 631 18.939 * * [simplify]: Extracting #6: cost 102 inf + 9929 18.951 * * [simplify]: Extracting #7: cost 31 inf + 43075 18.969 * * [simplify]: Extracting #8: cost 0 inf + 70081 18.983 * * [simplify]: Extracting #9: cost 0 inf + 68537 18.994 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 18.994 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.994 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.994 * * [simplify]: iters left: 6 (14 enodes) 19.002 * * [simplify]: iters left: 5 (57 enodes) 19.019 * * [simplify]: iters left: 4 (91 enodes) 19.034 * * [simplify]: iters left: 3 (129 enodes) 19.064 * * [simplify]: iters left: 2 (209 enodes) 19.134 * * [simplify]: iters left: 1 (391 enodes) 19.314 * * [simplify]: Extracting #0: cost 1 inf + 0 19.314 * * [simplify]: Extracting #1: cost 4 inf + 0 19.314 * * [simplify]: Extracting #2: cost 9 inf + 0 19.314 * * [simplify]: Extracting #3: cost 45 inf + 0 19.315 * * [simplify]: Extracting #4: cost 130 inf + 124 19.317 * * [simplify]: Extracting #5: cost 160 inf + 631 19.321 * * [simplify]: Extracting #6: cost 102 inf + 9929 19.333 * * [simplify]: Extracting #7: cost 31 inf + 43075 19.353 * * [simplify]: Extracting #8: cost 0 inf + 70081 19.375 * * [simplify]: Extracting #9: cost 0 inf + 68537 19.396 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 19.396 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 19.397 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 19.397 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 19.397 * * [simplify]: iters left: 6 (12 enodes) 19.404 * * [simplify]: iters left: 5 (49 enodes) 19.417 * * [simplify]: iters left: 4 (83 enodes) 19.432 * * [simplify]: iters left: 3 (128 enodes) 19.470 * * [simplify]: iters left: 2 (214 enodes) 19.515 * * [simplify]: iters left: 1 (396 enodes) 19.714 * * [simplify]: Extracting #0: cost 1 inf + 0 19.714 * * [simplify]: Extracting #1: cost 5 inf + 0 19.714 * * [simplify]: Extracting #2: cost 37 inf + 1 19.715 * * [simplify]: Extracting #3: cost 138 inf + 2 19.716 * * [simplify]: Extracting #4: cost 176 inf + 177 19.718 * * [simplify]: Extracting #5: cost 162 inf + 1348 19.726 * * [simplify]: Extracting #6: cost 74 inf + 21379 19.747 * * [simplify]: Extracting #7: cost 8 inf + 59921 19.759 * * [simplify]: Extracting #8: cost 0 inf + 67086 19.775 * * [simplify]: Extracting #9: cost 0 inf + 66965 19.790 * * [simplify]: Extracting #10: cost 0 inf + 66925 19.806 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.807 * [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)))) 19.807 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.807 * * [simplify]: iters left: 6 (13 enodes) 19.811 * * [simplify]: iters left: 5 (54 enodes) 19.821 * * [simplify]: iters left: 4 (88 enodes) 19.844 * * [simplify]: iters left: 3 (127 enodes) 19.889 * * [simplify]: iters left: 2 (207 enodes) 19.966 * * [simplify]: iters left: 1 (391 enodes) 20.111 * * [simplify]: Extracting #0: cost 1 inf + 0 20.111 * * [simplify]: Extracting #1: cost 4 inf + 0 20.111 * * [simplify]: Extracting #2: cost 9 inf + 0 20.111 * * [simplify]: Extracting #3: cost 34 inf + 1 20.112 * * [simplify]: Extracting #4: cost 123 inf + 84 20.112 * * [simplify]: Extracting #5: cost 154 inf + 840 20.115 * * [simplify]: Extracting #6: cost 99 inf + 12682 20.121 * * [simplify]: Extracting #7: cost 29 inf + 41349 20.131 * * [simplify]: Extracting #8: cost 0 inf + 64449 20.145 * * [simplify]: Extracting #9: cost 0 inf + 63241 20.165 * * [simplify]: Extracting #10: cost 0 inf + 61822 20.183 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 20.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 20.184 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 20.184 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.184 * * [simplify]: iters left: 6 (6 enodes) 20.186 * * [simplify]: iters left: 5 (22 enodes) 20.190 * * [simplify]: iters left: 4 (26 enodes) 20.197 * * [simplify]: Extracting #0: cost 1 inf + 0 20.197 * * [simplify]: Extracting #1: cost 6 inf + 0 20.197 * * [simplify]: Extracting #2: cost 9 inf + 1 20.197 * * [simplify]: Extracting #3: cost 11 inf + 1 20.197 * * [simplify]: Extracting #4: cost 8 inf + 84 20.197 * * [simplify]: Extracting #5: cost 2 inf + 1013 20.197 * * [simplify]: Extracting #6: cost 0 inf + 1376 20.198 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 20.198 * [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))))) 20.198 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.198 * * [simplify]: iters left: 6 (13 enodes) 20.205 * * [simplify]: iters left: 5 (54 enodes) 20.219 * * [simplify]: iters left: 4 (89 enodes) 20.235 * * [simplify]: iters left: 3 (138 enodes) 20.260 * * [simplify]: iters left: 2 (235 enodes) 20.311 * * [simplify]: iters left: 1 (482 enodes) 20.548 * * [simplify]: Extracting #0: cost 1 inf + 0 20.549 * * [simplify]: Extracting #1: cost 47 inf + 0 20.550 * * [simplify]: Extracting #2: cost 151 inf + 0 20.557 * * [simplify]: Extracting #3: cost 236 inf + 3 20.559 * * [simplify]: Extracting #4: cost 233 inf + 1958 20.568 * * [simplify]: Extracting #5: cost 131 inf + 30351 20.604 * * [simplify]: Extracting #6: cost 25 inf + 109502 20.655 * * [simplify]: Extracting #7: cost 0 inf + 128935 20.684 * * [simplify]: Extracting #8: cost 0 inf + 127159 20.726 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 20.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 20.726 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 20.726 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.727 * * [simplify]: iters left: 6 (6 enodes) 20.730 * * [simplify]: iters left: 5 (21 enodes) 20.737 * * [simplify]: iters left: 4 (23 enodes) 20.744 * * [simplify]: Extracting #0: cost 1 inf + 0 20.744 * * [simplify]: Extracting #1: cost 4 inf + 0 20.744 * * [simplify]: Extracting #2: cost 6 inf + 1 20.745 * * [simplify]: Extracting #3: cost 9 inf + 1 20.745 * * [simplify]: Extracting #4: cost 8 inf + 2 20.745 * * [simplify]: Extracting #5: cost 1 inf + 810 20.745 * * [simplify]: Extracting #6: cost 0 inf + 972 20.745 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.746 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.746 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.746 * * [simplify]: iters left: 6 (13 enodes) 20.752 * * [simplify]: iters left: 5 (54 enodes) 20.763 * * [simplify]: iters left: 4 (89 enodes) 20.778 * * [simplify]: iters left: 3 (138 enodes) 20.823 * * [simplify]: iters left: 2 (235 enodes) 20.894 * * [simplify]: iters left: 1 (482 enodes) 21.143 * * [simplify]: Extracting #0: cost 1 inf + 0 21.144 * * [simplify]: Extracting #1: cost 47 inf + 0 21.145 * * [simplify]: Extracting #2: cost 151 inf + 0 21.151 * * [simplify]: Extracting #3: cost 236 inf + 3 21.153 * * [simplify]: Extracting #4: cost 233 inf + 1998 21.161 * * [simplify]: Extracting #5: cost 131 inf + 30431 21.193 * * [simplify]: Extracting #6: cost 25 inf + 109582 21.222 * * [simplify]: Extracting #7: cost 0 inf + 129015 21.262 * * [simplify]: Extracting #8: cost 0 inf + 127239 21.290 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 21.291 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 21.291 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 21.291 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.291 * * [simplify]: iters left: 4 (5 enodes) 21.294 * * [simplify]: iters left: 3 (17 enodes) 21.300 * * [simplify]: iters left: 2 (19 enodes) 21.305 * * [simplify]: Extracting #0: cost 1 inf + 0 21.305 * * [simplify]: Extracting #1: cost 4 inf + 0 21.305 * * [simplify]: Extracting #2: cost 5 inf + 1 21.306 * * [simplify]: Extracting #3: cost 7 inf + 1 21.306 * * [simplify]: Extracting #4: cost 0 inf + 490 21.306 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.306 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.306 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.306 * * [simplify]: iters left: 6 (13 enodes) 21.314 * * [simplify]: iters left: 5 (54 enodes) 21.333 * * [simplify]: iters left: 4 (89 enodes) 21.359 * * [simplify]: iters left: 3 (138 enodes) 21.387 * * [simplify]: iters left: 2 (235 enodes) 21.481 * * [simplify]: iters left: 1 (482 enodes) 21.780 * * [simplify]: Extracting #0: cost 1 inf + 0 21.780 * * [simplify]: Extracting #1: cost 47 inf + 0 21.780 * * [simplify]: Extracting #2: cost 151 inf + 0 21.781 * * [simplify]: Extracting #3: cost 236 inf + 3 21.786 * * [simplify]: Extracting #4: cost 233 inf + 1878 21.790 * * [simplify]: Extracting #5: cost 131 inf + 29831 21.814 * * [simplify]: Extracting #6: cost 25 inf + 106782 21.866 * * [simplify]: Extracting #7: cost 0 inf + 125615 21.900 * * [simplify]: Extracting #8: cost 0 inf + 123839 21.938 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 21.938 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 21.939 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 21.939 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.939 * * [simplify]: iters left: 3 (3 enodes) 21.943 * * [simplify]: iters left: 2 (11 enodes) 21.944 * * [simplify]: iters left: 1 (13 enodes) 21.946 * * [simplify]: Extracting #0: cost 1 inf + 0 21.946 * * [simplify]: Extracting #1: cost 0 inf + 1 21.947 * [simplify]: Simplified to 1 21.947 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.947 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.947 * * [simplify]: iters left: 6 (12 enodes) 21.951 * * [simplify]: iters left: 5 (51 enodes) 21.962 * * [simplify]: iters left: 4 (86 enodes) 21.977 * * [simplify]: iters left: 3 (135 enodes) 22.018 * * [simplify]: iters left: 2 (232 enodes) 22.113 * * [simplify]: iters left: 1 (483 enodes) 22.383 * * [simplify]: Extracting #0: cost 1 inf + 0 22.384 * * [simplify]: Extracting #1: cost 47 inf + 0 22.384 * * [simplify]: Extracting #2: cost 159 inf + 0 22.385 * * [simplify]: Extracting #3: cost 245 inf + 4 22.386 * * [simplify]: Extracting #4: cost 240 inf + 1758 22.389 * * [simplify]: Extracting #5: cost 164 inf + 19506 22.401 * * [simplify]: Extracting #6: cost 58 inf + 90111 22.439 * * [simplify]: Extracting #7: cost 1 inf + 137769 22.467 * * [simplify]: Extracting #8: cost 0 inf + 137384 22.502 * * [simplify]: Extracting #9: cost 0 inf + 136880 22.522 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.523 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.523 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 22.523 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 22.523 * * [simplify]: iters left: 4 (5 enodes) 22.525 * * [simplify]: iters left: 3 (17 enodes) 22.528 * * [simplify]: iters left: 2 (19 enodes) 22.534 * * [simplify]: Extracting #0: cost 1 inf + 0 22.534 * * [simplify]: Extracting #1: cost 4 inf + 0 22.534 * * [simplify]: Extracting #2: cost 5 inf + 1 22.534 * * [simplify]: Extracting #3: cost 7 inf + 1 22.534 * * [simplify]: Extracting #4: cost 0 inf + 490 22.534 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 22.535 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 22.535 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 22.535 * * [simplify]: iters left: 6 (13 enodes) 22.542 * * [simplify]: iters left: 5 (54 enodes) 22.561 * * [simplify]: iters left: 4 (89 enodes) 22.590 * * [simplify]: iters left: 3 (138 enodes) 22.641 * * [simplify]: iters left: 2 (235 enodes) 22.715 * * [simplify]: iters left: 1 (482 enodes) 22.988 * * [simplify]: Extracting #0: cost 1 inf + 0 22.988 * * [simplify]: Extracting #1: cost 47 inf + 0 22.989 * * [simplify]: Extracting #2: cost 151 inf + 0 22.991 * * [simplify]: Extracting #3: cost 236 inf + 3 22.993 * * [simplify]: Extracting #4: cost 233 inf + 1878 23.003 * * [simplify]: Extracting #5: cost 131 inf + 29831 23.039 * * [simplify]: Extracting #6: cost 25 inf + 106782 23.065 * * [simplify]: Extracting #7: cost 0 inf + 125615 23.100 * * [simplify]: Extracting #8: cost 0 inf + 123839 23.148 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 23.149 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 23.149 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 23.149 * [simplify]: Simplifying (/ 1 1) 23.149 * * [simplify]: iters left: 2 (2 enodes) 23.151 * * [simplify]: iters left: 1 (6 enodes) 23.153 * * [simplify]: Extracting #0: cost 1 inf + 0 23.153 * * [simplify]: Extracting #1: cost 0 inf + 1 23.153 * [simplify]: Simplified to 1 23.153 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 23.154 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 23.154 * * [simplify]: iters left: 6 (12 enodes) 23.161 * * [simplify]: iters left: 5 (51 enodes) 23.171 * * [simplify]: iters left: 4 (86 enodes) 23.187 * * [simplify]: iters left: 3 (135 enodes) 23.227 * * [simplify]: iters left: 2 (232 enodes) 23.299 * * [simplify]: iters left: 1 (483 enodes) 23.541 * * [simplify]: Extracting #0: cost 1 inf + 0 23.541 * * [simplify]: Extracting #1: cost 47 inf + 0 23.542 * * [simplify]: Extracting #2: cost 159 inf + 0 23.543 * * [simplify]: Extracting #3: cost 245 inf + 4 23.546 * * [simplify]: Extracting #4: cost 240 inf + 1758 23.553 * * [simplify]: Extracting #5: cost 164 inf + 19506 23.575 * * [simplify]: Extracting #6: cost 58 inf + 90111 23.614 * * [simplify]: Extracting #7: cost 1 inf + 137769 23.655 * * [simplify]: Extracting #8: cost 0 inf + 137384 23.678 * * [simplify]: Extracting #9: cost 0 inf + 136880 23.713 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 23.713 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 23.713 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 23.713 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.714 * * [simplify]: iters left: 6 (15 enodes) 23.723 * * [simplify]: iters left: 5 (65 enodes) 23.745 * * [simplify]: iters left: 4 (109 enodes) 23.783 * * [simplify]: iters left: 3 (188 enodes) 23.837 * * [simplify]: iters left: 2 (375 enodes) 23.963 * * [simplify]: Extracting #0: cost 1 inf + 0 23.963 * * [simplify]: Extracting #1: cost 55 inf + 0 23.964 * * [simplify]: Extracting #2: cost 146 inf + 0 23.964 * * [simplify]: Extracting #3: cost 227 inf + 2 23.965 * * [simplify]: Extracting #4: cost 222 inf + 2410 23.969 * * [simplify]: Extracting #5: cost 161 inf + 15062 23.976 * * [simplify]: Extracting #6: cost 95 inf + 50743 24.003 * * [simplify]: Extracting #7: cost 8 inf + 121845 24.043 * * [simplify]: Extracting #8: cost 0 inf + 126757 24.078 * * [simplify]: Extracting #9: cost 0 inf + 126678 24.096 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 24.096 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 24.096 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 24.097 * * [simplify]: iters left: 6 (14 enodes) 24.101 * * [simplify]: iters left: 5 (60 enodes) 24.113 * * [simplify]: iters left: 4 (98 enodes) 24.134 * * [simplify]: iters left: 3 (160 enodes) 24.181 * * [simplify]: iters left: 2 (297 enodes) 24.275 * * [simplify]: Extracting #0: cost 1 inf + 0 24.275 * * [simplify]: Extracting #1: cost 30 inf + 0 24.275 * * [simplify]: Extracting #2: cost 74 inf + 0 24.276 * * [simplify]: Extracting #3: cost 138 inf + 2 24.277 * * [simplify]: Extracting #4: cost 145 inf + 473 24.280 * * [simplify]: Extracting #5: cost 104 inf + 5314 24.288 * * [simplify]: Extracting #6: cost 34 inf + 35176 24.302 * * [simplify]: Extracting #7: cost 2 inf + 59157 24.314 * * [simplify]: Extracting #8: cost 0 inf + 60367 24.322 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 24.322 * [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))))) 24.322 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 24.322 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 24.323 * * [simplify]: iters left: 6 (15 enodes) 24.327 * * [simplify]: iters left: 5 (64 enodes) 24.339 * * [simplify]: iters left: 4 (102 enodes) 24.374 * * [simplify]: iters left: 3 (164 enodes) 24.429 * * [simplify]: iters left: 2 (303 enodes) 24.523 * * [simplify]: Extracting #0: cost 1 inf + 0 24.523 * * [simplify]: Extracting #1: cost 30 inf + 0 24.523 * * [simplify]: Extracting #2: cost 74 inf + 0 24.523 * * [simplify]: Extracting #3: cost 142 inf + 2 24.524 * * [simplify]: Extracting #4: cost 152 inf + 307 24.525 * * [simplify]: Extracting #5: cost 105 inf + 6133 24.529 * * [simplify]: Extracting #6: cost 34 inf + 34573 24.536 * * [simplify]: Extracting #7: cost 1 inf + 58902 24.544 * * [simplify]: Extracting #8: cost 0 inf + 59385 24.557 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 24.557 * [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))))) 24.558 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 24.558 * * [simplify]: iters left: 6 (14 enodes) 24.567 * * [simplify]: iters left: 5 (60 enodes) 24.587 * * [simplify]: iters left: 4 (98 enodes) 24.624 * * [simplify]: iters left: 3 (160 enodes) 24.679 * * [simplify]: iters left: 2 (297 enodes) 24.749 * * [simplify]: Extracting #0: cost 1 inf + 0 24.749 * * [simplify]: Extracting #1: cost 30 inf + 0 24.749 * * [simplify]: Extracting #2: cost 74 inf + 0 24.750 * * [simplify]: Extracting #3: cost 138 inf + 2 24.750 * * [simplify]: Extracting #4: cost 145 inf + 473 24.752 * * [simplify]: Extracting #5: cost 104 inf + 5394 24.756 * * [simplify]: Extracting #6: cost 34 inf + 35256 24.763 * * [simplify]: Extracting #7: cost 2 inf + 59237 24.771 * * [simplify]: Extracting #8: cost 0 inf + 60447 24.782 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 24.783 * [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))))) 24.783 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 24.783 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.783 * * [simplify]: iters left: 6 (14 enodes) 24.792 * * [simplify]: iters left: 5 (60 enodes) 24.813 * * [simplify]: iters left: 4 (98 enodes) 24.848 * * [simplify]: iters left: 3 (160 enodes) 24.880 * * [simplify]: iters left: 2 (297 enodes) 24.958 * * [simplify]: Extracting #0: cost 1 inf + 0 24.958 * * [simplify]: Extracting #1: cost 30 inf + 0 24.958 * * [simplify]: Extracting #2: cost 74 inf + 0 24.958 * * [simplify]: Extracting #3: cost 138 inf + 2 24.959 * * [simplify]: Extracting #4: cost 145 inf + 473 24.960 * * [simplify]: Extracting #5: cost 104 inf + 5234 24.964 * * [simplify]: Extracting #6: cost 34 inf + 34336 24.972 * * [simplify]: Extracting #7: cost 2 inf + 57757 24.981 * * [simplify]: Extracting #8: cost 0 inf + 58887 24.997 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.997 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.998 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.998 * * [simplify]: iters left: 6 (14 enodes) 25.006 * * [simplify]: iters left: 5 (60 enodes) 25.025 * * [simplify]: iters left: 4 (98 enodes) 25.063 * * [simplify]: iters left: 3 (160 enodes) 25.112 * * [simplify]: iters left: 2 (297 enodes) 25.193 * * [simplify]: Extracting #0: cost 1 inf + 0 25.193 * * [simplify]: Extracting #1: cost 30 inf + 0 25.193 * * [simplify]: Extracting #2: cost 74 inf + 0 25.193 * * [simplify]: Extracting #3: cost 138 inf + 2 25.194 * * [simplify]: Extracting #4: cost 145 inf + 473 25.195 * * [simplify]: Extracting #5: cost 104 inf + 5234 25.199 * * [simplify]: Extracting #6: cost 34 inf + 34336 25.206 * * [simplify]: Extracting #7: cost 2 inf + 57757 25.218 * * [simplify]: Extracting #8: cost 0 inf + 58887 25.233 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.234 * [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))))) 25.234 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 25.234 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 25.234 * * [simplify]: iters left: 6 (13 enodes) 25.243 * * [simplify]: iters left: 5 (57 enodes) 25.262 * * [simplify]: iters left: 4 (93 enodes) 25.298 * * [simplify]: iters left: 3 (153 enodes) 25.329 * * [simplify]: iters left: 2 (288 enodes) 25.410 * * [simplify]: Extracting #0: cost 1 inf + 0 25.410 * * [simplify]: Extracting #1: cost 26 inf + 0 25.410 * * [simplify]: Extracting #2: cost 88 inf + 2 25.410 * * [simplify]: Extracting #3: cost 135 inf + 9 25.411 * * [simplify]: Extracting #4: cost 128 inf + 890 25.414 * * [simplify]: Extracting #5: cost 41 inf + 20076 25.420 * * [simplify]: Extracting #6: cost 2 inf + 39417 25.433 * * [simplify]: Extracting #7: cost 0 inf + 40189 25.447 * * [simplify]: Extracting #8: cost 0 inf + 40150 25.458 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 25.458 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.459 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.459 * * [simplify]: iters left: 6 (13 enodes) 25.463 * * [simplify]: iters left: 5 (57 enodes) 25.474 * * [simplify]: iters left: 4 (95 enodes) 25.504 * * [simplify]: iters left: 3 (157 enodes) 25.541 * * [simplify]: iters left: 2 (295 enodes) 25.633 * * [simplify]: Extracting #0: cost 1 inf + 0 25.633 * * [simplify]: Extracting #1: cost 30 inf + 0 25.633 * * [simplify]: Extracting #2: cost 71 inf + 0 25.634 * * [simplify]: Extracting #3: cost 134 inf + 3 25.635 * * [simplify]: Extracting #4: cost 131 inf + 1717 25.641 * * [simplify]: Extracting #5: cost 67 inf + 18982 25.651 * * [simplify]: Extracting #6: cost 0 inf + 51445 25.660 * * [simplify]: Extracting #7: cost 0 inf + 50772 25.668 * * [simplify]: Extracting #8: cost 0 inf + 50228 25.676 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.676 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.677 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 25.677 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.677 * * [simplify]: iters left: 6 (14 enodes) 25.683 * * [simplify]: iters left: 5 (60 enodes) 25.708 * * [simplify]: iters left: 4 (98 enodes) 25.742 * * [simplify]: iters left: 3 (160 enodes) 25.790 * * [simplify]: iters left: 2 (297 enodes) 25.858 * * [simplify]: Extracting #0: cost 1 inf + 0 25.859 * * [simplify]: Extracting #1: cost 30 inf + 0 25.859 * * [simplify]: Extracting #2: cost 74 inf + 0 25.860 * * [simplify]: Extracting #3: cost 138 inf + 2 25.861 * * [simplify]: Extracting #4: cost 145 inf + 473 25.864 * * [simplify]: Extracting #5: cost 104 inf + 5234 25.872 * * [simplify]: Extracting #6: cost 34 inf + 34336 25.887 * * [simplify]: Extracting #7: cost 2 inf + 57757 25.903 * * [simplify]: Extracting #8: cost 0 inf + 58887 25.911 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.911 * [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))))) 25.911 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 25.911 * * [simplify]: iters left: 6 (14 enodes) 25.916 * * [simplify]: iters left: 5 (60 enodes) 25.931 * * [simplify]: iters left: 4 (98 enodes) 25.964 * * [simplify]: iters left: 3 (160 enodes) 26.021 * * [simplify]: iters left: 2 (297 enodes) 26.088 * * [simplify]: Extracting #0: cost 1 inf + 0 26.088 * * [simplify]: Extracting #1: cost 30 inf + 0 26.089 * * [simplify]: Extracting #2: cost 74 inf + 0 26.090 * * [simplify]: Extracting #3: cost 138 inf + 2 26.091 * * [simplify]: Extracting #4: cost 145 inf + 473 26.093 * * [simplify]: Extracting #5: cost 104 inf + 5234 26.102 * * [simplify]: Extracting #6: cost 34 inf + 34336 26.116 * * [simplify]: Extracting #7: cost 2 inf + 57757 26.131 * * [simplify]: Extracting #8: cost 0 inf + 58887 26.139 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 26.139 * [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))))) 26.139 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 26.140 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 26.140 * * [simplify]: iters left: 6 (12 enodes) 26.144 * * [simplify]: iters left: 5 (52 enodes) 26.157 * * [simplify]: iters left: 4 (90 enodes) 26.184 * * [simplify]: iters left: 3 (158 enodes) 26.243 * * [simplify]: iters left: 2 (296 enodes) 26.323 * * [simplify]: Extracting #0: cost 1 inf + 0 26.324 * * [simplify]: Extracting #1: cost 29 inf + 0 26.324 * * [simplify]: Extracting #2: cost 109 inf + 2 26.324 * * [simplify]: Extracting #3: cost 157 inf + 219 26.325 * * [simplify]: Extracting #4: cost 154 inf + 764 26.327 * * [simplify]: Extracting #5: cost 81 inf + 14337 26.334 * * [simplify]: Extracting #6: cost 6 inf + 56302 26.343 * * [simplify]: Extracting #7: cost 0 inf + 60534 26.356 * * [simplify]: Extracting #8: cost 0 inf + 60272 26.365 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.365 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 26.365 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 26.365 * * [simplify]: iters left: 6 (13 enodes) 26.370 * * [simplify]: iters left: 5 (57 enodes) 26.381 * * [simplify]: iters left: 4 (95 enodes) 26.402 * * [simplify]: iters left: 3 (157 enodes) 26.460 * * [simplify]: iters left: 2 (295 enodes) 26.554 * * [simplify]: Extracting #0: cost 1 inf + 0 26.554 * * [simplify]: Extracting #1: cost 30 inf + 0 26.555 * * [simplify]: Extracting #2: cost 71 inf + 0 26.555 * * [simplify]: Extracting #3: cost 134 inf + 3 26.557 * * [simplify]: Extracting #4: cost 131 inf + 1717 26.563 * * [simplify]: Extracting #5: cost 67 inf + 18982 26.574 * * [simplify]: Extracting #6: cost 0 inf + 51445 26.585 * * [simplify]: Extracting #7: cost 0 inf + 50772 26.594 * * [simplify]: Extracting #8: cost 0 inf + 50228 26.602 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 26.603 * [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)))) 26.603 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 26.603 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 26.603 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 26.603 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 26.603 * [simplify]: Simplifying (cbrt (sqrt k)) 26.603 * * [simplify]: iters left: 2 (3 enodes) 26.604 * * [simplify]: iters left: 1 (9 enodes) 26.605 * * [simplify]: Extracting #0: cost 1 inf + 0 26.605 * * [simplify]: Extracting #1: cost 3 inf + 0 26.605 * * [simplify]: Extracting #2: cost 5 inf + 0 26.605 * * [simplify]: Extracting #3: cost 4 inf + 1 26.605 * * [simplify]: Extracting #4: cost 0 inf + 325 26.605 * [simplify]: Simplified to (cbrt (sqrt k)) 26.605 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 26.605 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 26.606 * [simplify]: Simplifying (sqrt (cbrt k)) 26.606 * * [simplify]: iters left: 2 (3 enodes) 26.606 * * [simplify]: iters left: 1 (9 enodes) 26.607 * * [simplify]: Extracting #0: cost 1 inf + 0 26.607 * * [simplify]: Extracting #1: cost 3 inf + 0 26.608 * * [simplify]: Extracting #2: cost 5 inf + 0 26.608 * * [simplify]: Extracting #3: cost 4 inf + 1 26.608 * * [simplify]: Extracting #4: cost 0 inf + 405 26.608 * [simplify]: Simplified to (sqrt (cbrt k)) 26.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 26.608 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 26.608 * [simplify]: Simplifying (sqrt (sqrt k)) 26.608 * * [simplify]: iters left: 2 (3 enodes) 26.609 * * [simplify]: iters left: 1 (9 enodes) 26.610 * * [simplify]: Extracting #0: cost 1 inf + 0 26.610 * * [simplify]: Extracting #1: cost 3 inf + 0 26.610 * * [simplify]: Extracting #2: cost 5 inf + 0 26.610 * * [simplify]: Extracting #3: cost 4 inf + 1 26.610 * * [simplify]: Extracting #4: cost 0 inf + 245 26.610 * [simplify]: Simplified to (sqrt (sqrt k)) 26.610 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.610 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 26.610 * [simplify]: Simplifying (sqrt k) 26.610 * * [simplify]: iters left: 1 (2 enodes) 26.611 * * [simplify]: Extracting #0: cost 1 inf + 0 26.611 * * [simplify]: Extracting #1: cost 3 inf + 0 26.611 * * [simplify]: Extracting #2: cost 2 inf + 1 26.611 * * [simplify]: Extracting #3: cost 0 inf + 83 26.611 * [simplify]: Simplified to (sqrt k) 26.611 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 26.611 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 26.611 * [simplify]: Simplifying (sqrt (sqrt k)) 26.611 * * [simplify]: iters left: 2 (3 enodes) 26.612 * * [simplify]: iters left: 1 (9 enodes) 26.613 * * [simplify]: Extracting #0: cost 1 inf + 0 26.613 * * [simplify]: Extracting #1: cost 3 inf + 0 26.613 * * [simplify]: Extracting #2: cost 5 inf + 0 26.613 * * [simplify]: Extracting #3: cost 4 inf + 1 26.613 * * [simplify]: Extracting #4: cost 0 inf + 245 26.613 * [simplify]: Simplified to (sqrt (sqrt k)) 26.613 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 26.614 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 26.614 * [simplify]: Simplifying (sqrt k) 26.614 * * [simplify]: iters left: 1 (2 enodes) 26.614 * * [simplify]: Extracting #0: cost 1 inf + 0 26.614 * * [simplify]: Extracting #1: cost 3 inf + 0 26.614 * * [simplify]: Extracting #2: cost 2 inf + 1 26.614 * * [simplify]: Extracting #3: cost 0 inf + 83 26.614 * [simplify]: Simplified to (sqrt k) 26.614 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 26.614 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 26.615 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 26.615 * * [simplify]: iters left: 5 (7 enodes) 26.617 * * [simplify]: iters left: 4 (32 enodes) 26.624 * * [simplify]: iters left: 3 (57 enodes) 26.641 * * [simplify]: iters left: 2 (90 enodes) 26.674 * * [simplify]: iters left: 1 (170 enodes) 26.731 * * [simplify]: Extracting #0: cost 1 inf + 0 26.731 * * [simplify]: Extracting #1: cost 13 inf + 0 26.731 * * [simplify]: Extracting #2: cost 54 inf + 2 26.731 * * [simplify]: Extracting #3: cost 89 inf + 6 26.732 * * [simplify]: Extracting #4: cost 78 inf + 1344 26.733 * * [simplify]: Extracting #5: cost 20 inf + 14664 26.739 * * [simplify]: Extracting #6: cost 1 inf + 22045 26.747 * * [simplify]: Extracting #7: cost 0 inf + 21300 26.755 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 26.755 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 26.755 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 26.755 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 26.756 * * [simplify]: iters left: 6 (12 enodes) 26.763 * * [simplify]: iters left: 5 (51 enodes) 26.781 * * [simplify]: iters left: 4 (84 enodes) 26.809 * * [simplify]: iters left: 3 (127 enodes) 26.839 * * [simplify]: iters left: 2 (212 enodes) 26.913 * * [simplify]: iters left: 1 (389 enodes) 27.084 * * [simplify]: Extracting #0: cost 1 inf + 0 27.084 * * [simplify]: Extracting #1: cost 3 inf + 0 27.084 * * [simplify]: Extracting #2: cost 5 inf + 0 27.084 * * [simplify]: Extracting #3: cost 34 inf + 0 27.085 * * [simplify]: Extracting #4: cost 117 inf + 1 27.086 * * [simplify]: Extracting #5: cost 168 inf + 176 27.088 * * [simplify]: Extracting #6: cost 164 inf + 851 27.094 * * [simplify]: Extracting #7: cost 84 inf + 17972 27.107 * * [simplify]: Extracting #8: cost 22 inf + 49496 27.127 * * [simplify]: Extracting #9: cost 0 inf + 68747 27.147 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 27.148 * [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)))))) 27.148 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 27.148 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 27.148 * * [simplify]: iters left: 6 (11 enodes) 27.155 * * [simplify]: iters left: 5 (48 enodes) 27.175 * * [simplify]: iters left: 4 (78 enodes) 27.195 * * [simplify]: iters left: 3 (122 enodes) 27.223 * * [simplify]: iters left: 2 (223 enodes) 27.307 * * [simplify]: iters left: 1 (408 enodes) 27.486 * * [simplify]: Extracting #0: cost 1 inf + 0 27.486 * * [simplify]: Extracting #1: cost 4 inf + 0 27.486 * * [simplify]: Extracting #2: cost 37 inf + 0 27.487 * * [simplify]: Extracting #3: cost 135 inf + 1 27.488 * * [simplify]: Extracting #4: cost 179 inf + 220 27.490 * * [simplify]: Extracting #5: cost 164 inf + 2131 27.496 * * [simplify]: Extracting #6: cost 85 inf + 15047 27.511 * * [simplify]: Extracting #7: cost 22 inf + 54880 27.525 * * [simplify]: Extracting #8: cost 0 inf + 75621 27.537 * * [simplify]: Extracting #9: cost 0 inf + 75008 27.555 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 27.555 * [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)))))) 27.555 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 27.555 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 27.556 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 27.556 * * [simplify]: iters left: 6 (11 enodes) 27.561 * * [simplify]: iters left: 5 (51 enodes) 27.571 * * [simplify]: iters left: 4 (87 enodes) 27.593 * * [simplify]: iters left: 3 (146 enodes) 27.647 * * [simplify]: iters left: 2 (263 enodes) 27.721 * * [simplify]: iters left: 1 (485 enodes) 27.902 * * [simplify]: Extracting #0: cost 1 inf + 0 27.902 * * [simplify]: Extracting #1: cost 27 inf + 0 27.903 * * [simplify]: Extracting #2: cost 109 inf + 1 27.904 * * [simplify]: Extracting #3: cost 198 inf + 178 27.906 * * [simplify]: Extracting #4: cost 189 inf + 1807 27.914 * * [simplify]: Extracting #5: cost 91 inf + 13674 27.924 * * [simplify]: Extracting #6: cost 24 inf + 43528 27.935 * * [simplify]: Extracting #7: cost 0 inf + 64461 27.950 * * [simplify]: Extracting #8: cost 0 inf + 64381 27.971 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 27.971 * [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))))) 27.971 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 27.972 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 27.972 * * [simplify]: iters left: 5 (8 enodes) 27.978 * * [simplify]: iters left: 4 (35 enodes) 27.989 * * [simplify]: iters left: 3 (63 enodes) 28.002 * * [simplify]: iters left: 2 (108 enodes) 28.025 * * [simplify]: iters left: 1 (162 enodes) 28.064 * * [simplify]: Extracting #0: cost 1 inf + 0 28.064 * * [simplify]: Extracting #1: cost 14 inf + 0 28.064 * * [simplify]: Extracting #2: cost 44 inf + 2 28.065 * * [simplify]: Extracting #3: cost 39 inf + 94 28.066 * * [simplify]: Extracting #4: cost 24 inf + 2779 28.068 * * [simplify]: Extracting #5: cost 3 inf + 12838 28.072 * * [simplify]: Extracting #6: cost 0 inf + 14804 28.076 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 28.076 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 28.076 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 28.076 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 28.077 * [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))))) 28.077 * * [simplify]: iters left: 6 (37 enodes) 28.101 * * [simplify]: iters left: 5 (187 enodes) 28.163 * * [simplify]: iters left: 4 (488 enodes) 28.719 * * [simplify]: Extracting #0: cost 1 inf + 0 28.719 * * [simplify]: Extracting #1: cost 57 inf + 0 28.720 * * [simplify]: Extracting #2: cost 294 inf + 0 28.721 * * [simplify]: Extracting #3: cost 529 inf + 199 28.724 * * [simplify]: Extracting #4: cost 521 inf + 5092 28.737 * * [simplify]: Extracting #5: cost 310 inf + 81150 28.794 * * [simplify]: Extracting #6: cost 37 inf + 225232 28.874 * * [simplify]: Extracting #7: cost 0 inf + 247600 28.956 * * [simplify]: Extracting #8: cost 0 inf + 245527 29.018 * * [simplify]: Extracting #9: cost 0 inf + 245486 29.089 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 29.089 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 29.089 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 29.090 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 29.090 * * [simplify]: iters left: 6 (15 enodes) 29.098 * * [simplify]: iters left: 5 (65 enodes) 29.122 * * [simplify]: iters left: 4 (123 enodes) 29.150 * * [simplify]: iters left: 3 (362 enodes) 29.315 * * [simplify]: Extracting #0: cost 1 inf + 0 29.315 * * [simplify]: Extracting #1: cost 37 inf + 0 29.316 * * [simplify]: Extracting #2: cost 214 inf + 1 29.319 * * [simplify]: Extracting #3: cost 359 inf + 976 29.322 * * [simplify]: Extracting #4: cost 248 inf + 22396 29.333 * * [simplify]: Extracting #5: cost 36 inf + 77801 29.356 * * [simplify]: Extracting #6: cost 1 inf + 88796 29.374 * * [simplify]: Extracting #7: cost 0 inf + 89336 29.391 * * [simplify]: Extracting #8: cost 0 inf + 89253 29.421 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 29.421 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 29.421 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 29.422 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 29.422 * * [simplify]: iters left: 6 (16 enodes) 29.432 * * [simplify]: iters left: 5 (67 enodes) 29.459 * * [simplify]: iters left: 4 (134 enodes) 29.497 * * [simplify]: iters left: 3 (407 enodes) 29.689 * * [simplify]: Extracting #0: cost 1 inf + 0 29.690 * * [simplify]: Extracting #1: cost 39 inf + 0 29.691 * * [simplify]: Extracting #2: cost 241 inf + 72 29.694 * * [simplify]: Extracting #3: cost 449 inf + 888 29.706 * * [simplify]: Extracting #4: cost 283 inf + 39118 29.742 * * [simplify]: Extracting #5: cost 24 inf + 116222 29.767 * * [simplify]: Extracting #6: cost 0 inf + 121984 29.795 * * [simplify]: Extracting #7: cost 0 inf + 121983 29.817 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 29.817 * [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))) 29.817 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 29.817 * [simplify]: Simplifying (* 2 (* n PI)) 29.817 * * [simplify]: iters left: 4 (5 enodes) 29.819 * * [simplify]: iters left: 3 (19 enodes) 29.825 * * [simplify]: iters left: 2 (27 enodes) 29.833 * * [simplify]: iters left: 1 (32 enodes) 29.843 * * [simplify]: Extracting #0: cost 1 inf + 0 29.843 * * [simplify]: Extracting #1: cost 8 inf + 0 29.844 * * [simplify]: Extracting #2: cost 7 inf + 45 29.844 * * [simplify]: Extracting #3: cost 0 inf + 421 29.844 * [simplify]: Simplified to (* (* PI n) 2) 29.844 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.844 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 29.845 * [simplify]: Simplifying (* 2 (* n PI)) 29.845 * * [simplify]: iters left: 4 (5 enodes) 29.847 * * [simplify]: iters left: 3 (19 enodes) 29.853 * * [simplify]: iters left: 2 (27 enodes) 29.861 * * [simplify]: iters left: 1 (32 enodes) 29.870 * * [simplify]: Extracting #0: cost 1 inf + 0 29.870 * * [simplify]: Extracting #1: cost 8 inf + 0 29.870 * * [simplify]: Extracting #2: cost 7 inf + 45 29.870 * * [simplify]: Extracting #3: cost 0 inf + 421 29.870 * [simplify]: Simplified to (* (* PI n) 2) 29.870 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.870 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 29.871 * [simplify]: Simplifying (* 2 (* n PI)) 29.871 * * [simplify]: iters left: 4 (5 enodes) 29.874 * * [simplify]: iters left: 3 (19 enodes) 29.877 * * [simplify]: iters left: 2 (27 enodes) 29.882 * * [simplify]: iters left: 1 (32 enodes) 29.886 * * [simplify]: Extracting #0: cost 1 inf + 0 29.886 * * [simplify]: Extracting #1: cost 8 inf + 0 29.886 * * [simplify]: Extracting #2: cost 7 inf + 45 29.886 * * [simplify]: Extracting #3: cost 0 inf + 421 29.886 * [simplify]: Simplified to (* (* PI n) 2) 29.886 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 29.887 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 29.887 * [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)))))))))))))))))))))) 29.887 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.887 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 29.887 * [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)))))))) 29.887 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.888 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 29.888 * [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)))))))))))) 29.888 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 29.888 * * * [progress]: adding candidates to table 31.219 * * [progress]: iteration 2 / 4 31.220 * * * [progress]: picking best candidate 31.263 * * * * [pick]: Picked # 31.263 * * * [progress]: localizing error 31.312 * * * [progress]: generating rewritten candidates 31.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 31.339 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 31.350 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 31.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 31.418 * * * [progress]: generating series expansions 31.418 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 31.419 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 31.419 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 31.419 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 31.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 31.420 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 31.420 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.420 * [taylor]: Taking taylor expansion of 1/2 in k 31.420 * [backup-simplify]: Simplify 1/2 into 1/2 31.420 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.420 * [taylor]: Taking taylor expansion of 1 in k 31.420 * [backup-simplify]: Simplify 1 into 1 31.420 * [taylor]: Taking taylor expansion of k in k 31.420 * [backup-simplify]: Simplify 0 into 0 31.420 * [backup-simplify]: Simplify 1 into 1 31.420 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 31.420 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 31.420 * [taylor]: Taking taylor expansion of 2 in k 31.420 * [backup-simplify]: Simplify 2 into 2 31.420 * [taylor]: Taking taylor expansion of (* n PI) in k 31.420 * [taylor]: Taking taylor expansion of n in k 31.420 * [backup-simplify]: Simplify n into n 31.420 * [taylor]: Taking taylor expansion of PI in k 31.420 * [backup-simplify]: Simplify PI into PI 31.420 * [backup-simplify]: Simplify (* n PI) into (* n PI) 31.420 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 31.420 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 31.421 * [backup-simplify]: Simplify (- 0) into 0 31.421 * [backup-simplify]: Simplify (+ 1 0) into 1 31.422 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.422 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 31.422 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 31.422 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.422 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.422 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.422 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.422 * [taylor]: Taking taylor expansion of 1/2 in n 31.422 * [backup-simplify]: Simplify 1/2 into 1/2 31.422 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.422 * [taylor]: Taking taylor expansion of 1 in n 31.422 * [backup-simplify]: Simplify 1 into 1 31.422 * [taylor]: Taking taylor expansion of k in n 31.422 * [backup-simplify]: Simplify k into k 31.422 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.422 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.422 * [taylor]: Taking taylor expansion of 2 in n 31.422 * [backup-simplify]: Simplify 2 into 2 31.422 * [taylor]: Taking taylor expansion of (* n PI) in n 31.422 * [taylor]: Taking taylor expansion of n in n 31.422 * [backup-simplify]: Simplify 0 into 0 31.422 * [backup-simplify]: Simplify 1 into 1 31.422 * [taylor]: Taking taylor expansion of PI in n 31.422 * [backup-simplify]: Simplify PI into PI 31.423 * [backup-simplify]: Simplify (* 0 PI) into 0 31.424 * [backup-simplify]: Simplify (* 2 0) into 0 31.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.427 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.428 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.428 * [backup-simplify]: Simplify (- k) into (- k) 31.428 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.428 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.430 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.432 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.432 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.432 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.432 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.432 * [taylor]: Taking taylor expansion of 1/2 in n 31.432 * [backup-simplify]: Simplify 1/2 into 1/2 31.432 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.432 * [taylor]: Taking taylor expansion of 1 in n 31.432 * [backup-simplify]: Simplify 1 into 1 31.432 * [taylor]: Taking taylor expansion of k in n 31.432 * [backup-simplify]: Simplify k into k 31.432 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.432 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.432 * [taylor]: Taking taylor expansion of 2 in n 31.432 * [backup-simplify]: Simplify 2 into 2 31.432 * [taylor]: Taking taylor expansion of (* n PI) in n 31.432 * [taylor]: Taking taylor expansion of n in n 31.432 * [backup-simplify]: Simplify 0 into 0 31.432 * [backup-simplify]: Simplify 1 into 1 31.432 * [taylor]: Taking taylor expansion of PI in n 31.432 * [backup-simplify]: Simplify PI into PI 31.433 * [backup-simplify]: Simplify (* 0 PI) into 0 31.433 * [backup-simplify]: Simplify (* 2 0) into 0 31.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.436 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.437 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.437 * [backup-simplify]: Simplify (- k) into (- k) 31.437 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.437 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.440 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.441 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.441 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 31.441 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 31.441 * [taylor]: Taking taylor expansion of 1/2 in k 31.441 * [backup-simplify]: Simplify 1/2 into 1/2 31.441 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 31.441 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.441 * [taylor]: Taking taylor expansion of 1 in k 31.441 * [backup-simplify]: Simplify 1 into 1 31.441 * [taylor]: Taking taylor expansion of k in k 31.441 * [backup-simplify]: Simplify 0 into 0 31.441 * [backup-simplify]: Simplify 1 into 1 31.441 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 31.441 * [taylor]: Taking taylor expansion of (log n) in k 31.441 * [taylor]: Taking taylor expansion of n in k 31.441 * [backup-simplify]: Simplify n into n 31.442 * [backup-simplify]: Simplify (log n) into (log n) 31.442 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.442 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.442 * [taylor]: Taking taylor expansion of 2 in k 31.442 * [backup-simplify]: Simplify 2 into 2 31.442 * [taylor]: Taking taylor expansion of PI in k 31.442 * [backup-simplify]: Simplify PI into PI 31.442 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.443 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.444 * [backup-simplify]: Simplify (- 0) into 0 31.444 * [backup-simplify]: Simplify (+ 1 0) into 1 31.445 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.446 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 31.447 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 31.448 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.449 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.453 * [backup-simplify]: Simplify (- 0) into 0 31.454 * [backup-simplify]: Simplify (+ 0 0) into 0 31.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.457 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 31.459 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.459 * [taylor]: Taking taylor expansion of 0 in k 31.459 * [backup-simplify]: Simplify 0 into 0 31.459 * [backup-simplify]: Simplify 0 into 0 31.460 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.460 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.463 * [backup-simplify]: Simplify (+ 0 0) into 0 31.463 * [backup-simplify]: Simplify (- 1) into -1 31.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.464 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 31.465 * [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))))) 31.467 * [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))))))) 31.469 * [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))))))) 31.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.472 * [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 31.472 * [backup-simplify]: Simplify (- 0) into 0 31.472 * [backup-simplify]: Simplify (+ 0 0) into 0 31.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.477 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.478 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.479 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.480 * [taylor]: Taking taylor expansion of 0 in k 31.480 * [backup-simplify]: Simplify 0 into 0 31.480 * [backup-simplify]: Simplify 0 into 0 31.480 * [backup-simplify]: Simplify 0 into 0 31.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.483 * [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 31.483 * [backup-simplify]: Simplify (+ 0 0) into 0 31.484 * [backup-simplify]: Simplify (- 0) into 0 31.484 * [backup-simplify]: Simplify (+ 0 0) into 0 31.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.489 * [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))))) 31.492 * [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))))) 31.501 * [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))))) 31.501 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 31.501 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 31.502 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 31.502 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 31.502 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 31.502 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.502 * [taylor]: Taking taylor expansion of 1/2 in k 31.502 * [backup-simplify]: Simplify 1/2 into 1/2 31.502 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.502 * [taylor]: Taking taylor expansion of 1 in k 31.502 * [backup-simplify]: Simplify 1 into 1 31.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.502 * [taylor]: Taking taylor expansion of k in k 31.502 * [backup-simplify]: Simplify 0 into 0 31.502 * [backup-simplify]: Simplify 1 into 1 31.503 * [backup-simplify]: Simplify (/ 1 1) into 1 31.503 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 31.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 31.503 * [taylor]: Taking taylor expansion of 2 in k 31.503 * [backup-simplify]: Simplify 2 into 2 31.503 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.503 * [taylor]: Taking taylor expansion of PI in k 31.503 * [backup-simplify]: Simplify PI into PI 31.503 * [taylor]: Taking taylor expansion of n in k 31.503 * [backup-simplify]: Simplify n into n 31.503 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.503 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 31.503 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 31.503 * [backup-simplify]: Simplify (- 1) into -1 31.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.504 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.504 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 31.505 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 31.505 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.505 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.505 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.505 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.505 * [taylor]: Taking taylor expansion of 1/2 in n 31.505 * [backup-simplify]: Simplify 1/2 into 1/2 31.505 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.505 * [taylor]: Taking taylor expansion of 1 in n 31.505 * [backup-simplify]: Simplify 1 into 1 31.505 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.505 * [taylor]: Taking taylor expansion of k in n 31.505 * [backup-simplify]: Simplify k into k 31.505 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.505 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.505 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.505 * [taylor]: Taking taylor expansion of 2 in n 31.505 * [backup-simplify]: Simplify 2 into 2 31.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.505 * [taylor]: Taking taylor expansion of PI in n 31.505 * [backup-simplify]: Simplify PI into PI 31.505 * [taylor]: Taking taylor expansion of n in n 31.505 * [backup-simplify]: Simplify 0 into 0 31.505 * [backup-simplify]: Simplify 1 into 1 31.506 * [backup-simplify]: Simplify (/ PI 1) into PI 31.506 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.507 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.507 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.507 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.507 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.510 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.511 * [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))))) 31.511 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.511 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.511 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.511 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.511 * [taylor]: Taking taylor expansion of 1/2 in n 31.511 * [backup-simplify]: Simplify 1/2 into 1/2 31.511 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.511 * [taylor]: Taking taylor expansion of 1 in n 31.511 * [backup-simplify]: Simplify 1 into 1 31.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.511 * [taylor]: Taking taylor expansion of k in n 31.511 * [backup-simplify]: Simplify k into k 31.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.511 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.511 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.511 * [taylor]: Taking taylor expansion of 2 in n 31.511 * [backup-simplify]: Simplify 2 into 2 31.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.512 * [taylor]: Taking taylor expansion of PI in n 31.512 * [backup-simplify]: Simplify PI into PI 31.512 * [taylor]: Taking taylor expansion of n in n 31.512 * [backup-simplify]: Simplify 0 into 0 31.512 * [backup-simplify]: Simplify 1 into 1 31.512 * [backup-simplify]: Simplify (/ PI 1) into PI 31.513 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.514 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.514 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.514 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.514 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.517 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.518 * [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))))) 31.518 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 31.518 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 31.518 * [taylor]: Taking taylor expansion of 1/2 in k 31.518 * [backup-simplify]: Simplify 1/2 into 1/2 31.518 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 31.518 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.518 * [taylor]: Taking taylor expansion of 1 in k 31.518 * [backup-simplify]: Simplify 1 into 1 31.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.518 * [taylor]: Taking taylor expansion of k in k 31.518 * [backup-simplify]: Simplify 0 into 0 31.518 * [backup-simplify]: Simplify 1 into 1 31.519 * [backup-simplify]: Simplify (/ 1 1) into 1 31.519 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 31.519 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.519 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.519 * [taylor]: Taking taylor expansion of 2 in k 31.519 * [backup-simplify]: Simplify 2 into 2 31.519 * [taylor]: Taking taylor expansion of PI in k 31.519 * [backup-simplify]: Simplify PI into PI 31.519 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.520 * [taylor]: Taking taylor expansion of (log n) in k 31.520 * [taylor]: Taking taylor expansion of n in k 31.520 * [backup-simplify]: Simplify n into n 31.520 * [backup-simplify]: Simplify (log n) into (log n) 31.521 * [backup-simplify]: Simplify (- 1) into -1 31.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.521 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.522 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 31.523 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 31.524 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 31.526 * [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))))) 31.527 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 31.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.528 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.531 * [backup-simplify]: Simplify (- 0) into 0 31.531 * [backup-simplify]: Simplify (+ 0 0) into 0 31.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.533 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.534 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 31.536 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.536 * [taylor]: Taking taylor expansion of 0 in k 31.536 * [backup-simplify]: Simplify 0 into 0 31.537 * [backup-simplify]: Simplify 0 into 0 31.537 * [backup-simplify]: Simplify 0 into 0 31.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.542 * [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 31.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.542 * [backup-simplify]: Simplify (- 0) into 0 31.543 * [backup-simplify]: Simplify (+ 0 0) into 0 31.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.547 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 31.549 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.549 * [taylor]: Taking taylor expansion of 0 in k 31.549 * [backup-simplify]: Simplify 0 into 0 31.549 * [backup-simplify]: Simplify 0 into 0 31.549 * [backup-simplify]: Simplify 0 into 0 31.550 * [backup-simplify]: Simplify 0 into 0 31.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.558 * [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 31.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.559 * [backup-simplify]: Simplify (- 0) into 0 31.559 * [backup-simplify]: Simplify (+ 0 0) into 0 31.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.564 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.567 * [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 31.567 * [taylor]: Taking taylor expansion of 0 in k 31.567 * [backup-simplify]: Simplify 0 into 0 31.567 * [backup-simplify]: Simplify 0 into 0 31.568 * [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)))))) 31.569 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 31.569 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 31.569 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 31.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 31.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 31.569 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.569 * [taylor]: Taking taylor expansion of 1/2 in k 31.569 * [backup-simplify]: Simplify 1/2 into 1/2 31.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.569 * [taylor]: Taking taylor expansion of k in k 31.569 * [backup-simplify]: Simplify 0 into 0 31.569 * [backup-simplify]: Simplify 1 into 1 31.570 * [backup-simplify]: Simplify (/ 1 1) into 1 31.570 * [taylor]: Taking taylor expansion of 1 in k 31.570 * [backup-simplify]: Simplify 1 into 1 31.570 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.570 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.570 * [taylor]: Taking taylor expansion of -2 in k 31.570 * [backup-simplify]: Simplify -2 into -2 31.570 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.570 * [taylor]: Taking taylor expansion of PI in k 31.570 * [backup-simplify]: Simplify PI into PI 31.570 * [taylor]: Taking taylor expansion of n in k 31.570 * [backup-simplify]: Simplify n into n 31.570 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.570 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.570 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.571 * [backup-simplify]: Simplify (+ 1 0) into 1 31.571 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.571 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 31.571 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 31.571 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.572 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.572 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.572 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.572 * [taylor]: Taking taylor expansion of 1/2 in n 31.572 * [backup-simplify]: Simplify 1/2 into 1/2 31.572 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.572 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.572 * [taylor]: Taking taylor expansion of k in n 31.572 * [backup-simplify]: Simplify k into k 31.572 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.572 * [taylor]: Taking taylor expansion of 1 in n 31.572 * [backup-simplify]: Simplify 1 into 1 31.572 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.572 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.572 * [taylor]: Taking taylor expansion of -2 in n 31.572 * [backup-simplify]: Simplify -2 into -2 31.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.572 * [taylor]: Taking taylor expansion of PI in n 31.572 * [backup-simplify]: Simplify PI into PI 31.572 * [taylor]: Taking taylor expansion of n in n 31.572 * [backup-simplify]: Simplify 0 into 0 31.572 * [backup-simplify]: Simplify 1 into 1 31.572 * [backup-simplify]: Simplify (/ PI 1) into PI 31.573 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.574 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.574 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.574 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.577 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.578 * [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))))) 31.578 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.578 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.578 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.578 * [taylor]: Taking taylor expansion of 1/2 in n 31.578 * [backup-simplify]: Simplify 1/2 into 1/2 31.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.578 * [taylor]: Taking taylor expansion of k in n 31.578 * [backup-simplify]: Simplify k into k 31.578 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.578 * [taylor]: Taking taylor expansion of 1 in n 31.578 * [backup-simplify]: Simplify 1 into 1 31.578 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.578 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.578 * [taylor]: Taking taylor expansion of -2 in n 31.578 * [backup-simplify]: Simplify -2 into -2 31.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.579 * [taylor]: Taking taylor expansion of PI in n 31.579 * [backup-simplify]: Simplify PI into PI 31.579 * [taylor]: Taking taylor expansion of n in n 31.579 * [backup-simplify]: Simplify 0 into 0 31.579 * [backup-simplify]: Simplify 1 into 1 31.579 * [backup-simplify]: Simplify (/ PI 1) into PI 31.580 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.580 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.581 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.581 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.582 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.583 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.584 * [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))))) 31.584 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 31.584 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 31.584 * [taylor]: Taking taylor expansion of 1/2 in k 31.584 * [backup-simplify]: Simplify 1/2 into 1/2 31.584 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 31.585 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.585 * [taylor]: Taking taylor expansion of k in k 31.585 * [backup-simplify]: Simplify 0 into 0 31.585 * [backup-simplify]: Simplify 1 into 1 31.585 * [backup-simplify]: Simplify (/ 1 1) into 1 31.585 * [taylor]: Taking taylor expansion of 1 in k 31.585 * [backup-simplify]: Simplify 1 into 1 31.585 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 31.585 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 31.585 * [taylor]: Taking taylor expansion of (* -2 PI) in k 31.585 * [taylor]: Taking taylor expansion of -2 in k 31.585 * [backup-simplify]: Simplify -2 into -2 31.585 * [taylor]: Taking taylor expansion of PI in k 31.585 * [backup-simplify]: Simplify PI into PI 31.586 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.587 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.587 * [taylor]: Taking taylor expansion of (log n) in k 31.587 * [taylor]: Taking taylor expansion of n in k 31.587 * [backup-simplify]: Simplify n into n 31.587 * [backup-simplify]: Simplify (log n) into (log n) 31.587 * [backup-simplify]: Simplify (+ 1 0) into 1 31.587 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.588 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 31.589 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 31.590 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 31.591 * [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))))) 31.592 * [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))))) 31.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.594 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 31.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.596 * [backup-simplify]: Simplify (+ 0 0) into 0 31.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 31.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.599 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 31.601 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.601 * [taylor]: Taking taylor expansion of 0 in k 31.601 * [backup-simplify]: Simplify 0 into 0 31.602 * [backup-simplify]: Simplify 0 into 0 31.602 * [backup-simplify]: Simplify 0 into 0 31.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.604 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.607 * [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 31.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.608 * [backup-simplify]: Simplify (+ 0 0) into 0 31.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 31.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.618 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 31.620 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.620 * [taylor]: Taking taylor expansion of 0 in k 31.621 * [backup-simplify]: Simplify 0 into 0 31.621 * [backup-simplify]: Simplify 0 into 0 31.621 * [backup-simplify]: Simplify 0 into 0 31.621 * [backup-simplify]: Simplify 0 into 0 31.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.623 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.629 * [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 31.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.630 * [backup-simplify]: Simplify (+ 0 0) into 0 31.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 31.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.633 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 31.635 * [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 31.635 * [taylor]: Taking taylor expansion of 0 in k 31.635 * [backup-simplify]: Simplify 0 into 0 31.635 * [backup-simplify]: Simplify 0 into 0 31.636 * [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)))))) 31.636 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 31.636 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 31.636 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 31.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.636 * [taylor]: Taking taylor expansion of k in k 31.636 * [backup-simplify]: Simplify 0 into 0 31.636 * [backup-simplify]: Simplify 1 into 1 31.636 * [backup-simplify]: Simplify (/ 1 1) into 1 31.636 * [backup-simplify]: Simplify (sqrt 0) into 0 31.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.637 * [taylor]: Taking taylor expansion of k in k 31.637 * [backup-simplify]: Simplify 0 into 0 31.637 * [backup-simplify]: Simplify 1 into 1 31.638 * [backup-simplify]: Simplify (/ 1 1) into 1 31.638 * [backup-simplify]: Simplify (sqrt 0) into 0 31.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.639 * [backup-simplify]: Simplify 0 into 0 31.639 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.641 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.644 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 31.644 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 31.644 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 31.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.644 * [taylor]: Taking taylor expansion of k in k 31.644 * [backup-simplify]: Simplify 0 into 0 31.644 * [backup-simplify]: Simplify 1 into 1 31.644 * [backup-simplify]: Simplify (sqrt 0) into 0 31.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.645 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.645 * [taylor]: Taking taylor expansion of k in k 31.645 * [backup-simplify]: Simplify 0 into 0 31.645 * [backup-simplify]: Simplify 1 into 1 31.645 * [backup-simplify]: Simplify (sqrt 0) into 0 31.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.646 * [backup-simplify]: Simplify 0 into 0 31.646 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.648 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.648 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.650 * [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)))))))) 31.651 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 31.651 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 31.651 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 31.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.651 * [taylor]: Taking taylor expansion of -1 in k 31.651 * [backup-simplify]: Simplify -1 into -1 31.651 * [taylor]: Taking taylor expansion of k in k 31.651 * [backup-simplify]: Simplify 0 into 0 31.651 * [backup-simplify]: Simplify 1 into 1 31.651 * [backup-simplify]: Simplify (/ -1 1) into -1 31.651 * [backup-simplify]: Simplify (sqrt 0) into 0 31.653 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.653 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 31.653 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 31.653 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.653 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.653 * [taylor]: Taking taylor expansion of -1 in k 31.653 * [backup-simplify]: Simplify -1 into -1 31.653 * [taylor]: Taking taylor expansion of k in k 31.653 * [backup-simplify]: Simplify 0 into 0 31.653 * [backup-simplify]: Simplify 1 into 1 31.654 * [backup-simplify]: Simplify (/ -1 1) into -1 31.654 * [backup-simplify]: Simplify (sqrt 0) into 0 31.655 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.656 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 31.656 * [backup-simplify]: Simplify +nan.0 into +nan.0 31.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.660 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.662 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 31.662 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.669 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 31.670 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 31.670 * [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))))) 31.670 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 31.671 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 31.671 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 31.671 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.671 * [taylor]: Taking taylor expansion of 2 in n 31.671 * [backup-simplify]: Simplify 2 into 2 31.671 * [taylor]: Taking taylor expansion of (* n PI) in n 31.671 * [taylor]: Taking taylor expansion of n in n 31.671 * [backup-simplify]: Simplify 0 into 0 31.671 * [backup-simplify]: Simplify 1 into 1 31.671 * [taylor]: Taking taylor expansion of PI in n 31.671 * [backup-simplify]: Simplify PI into PI 31.671 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.671 * [taylor]: Taking taylor expansion of 2 in n 31.671 * [backup-simplify]: Simplify 2 into 2 31.671 * [taylor]: Taking taylor expansion of (* n PI) in n 31.671 * [taylor]: Taking taylor expansion of n in n 31.671 * [backup-simplify]: Simplify 0 into 0 31.671 * [backup-simplify]: Simplify 1 into 1 31.671 * [taylor]: Taking taylor expansion of PI in n 31.671 * [backup-simplify]: Simplify PI into PI 31.671 * [backup-simplify]: Simplify (* 0 PI) into 0 31.672 * [backup-simplify]: Simplify (* 2 0) into 0 31.672 * [backup-simplify]: Simplify 0 into 0 31.673 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.674 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.674 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.675 * [backup-simplify]: Simplify 0 into 0 31.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.676 * [backup-simplify]: Simplify 0 into 0 31.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 31.678 * [backup-simplify]: Simplify 0 into 0 31.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 31.679 * [backup-simplify]: Simplify 0 into 0 31.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 31.681 * [backup-simplify]: Simplify 0 into 0 31.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 31.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 31.683 * [backup-simplify]: Simplify 0 into 0 31.684 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 31.684 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 31.684 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 31.684 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.684 * [taylor]: Taking taylor expansion of 2 in n 31.684 * [backup-simplify]: Simplify 2 into 2 31.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.684 * [taylor]: Taking taylor expansion of PI in n 31.684 * [backup-simplify]: Simplify PI into PI 31.684 * [taylor]: Taking taylor expansion of n in n 31.684 * [backup-simplify]: Simplify 0 into 0 31.684 * [backup-simplify]: Simplify 1 into 1 31.684 * [backup-simplify]: Simplify (/ PI 1) into PI 31.684 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.684 * [taylor]: Taking taylor expansion of 2 in n 31.684 * [backup-simplify]: Simplify 2 into 2 31.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.684 * [taylor]: Taking taylor expansion of PI in n 31.684 * [backup-simplify]: Simplify PI into PI 31.684 * [taylor]: Taking taylor expansion of n in n 31.684 * [backup-simplify]: Simplify 0 into 0 31.684 * [backup-simplify]: Simplify 1 into 1 31.685 * [backup-simplify]: Simplify (/ PI 1) into PI 31.685 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.685 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.686 * [backup-simplify]: Simplify 0 into 0 31.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.688 * [backup-simplify]: Simplify 0 into 0 31.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.690 * [backup-simplify]: Simplify 0 into 0 31.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.693 * [backup-simplify]: Simplify 0 into 0 31.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.695 * [backup-simplify]: Simplify 0 into 0 31.696 * [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 31.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.698 * [backup-simplify]: Simplify 0 into 0 31.698 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 31.699 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 31.699 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 31.699 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.699 * [taylor]: Taking taylor expansion of -2 in n 31.699 * [backup-simplify]: Simplify -2 into -2 31.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.699 * [taylor]: Taking taylor expansion of PI in n 31.699 * [backup-simplify]: Simplify PI into PI 31.699 * [taylor]: Taking taylor expansion of n in n 31.699 * [backup-simplify]: Simplify 0 into 0 31.699 * [backup-simplify]: Simplify 1 into 1 31.700 * [backup-simplify]: Simplify (/ PI 1) into PI 31.700 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.700 * [taylor]: Taking taylor expansion of -2 in n 31.700 * [backup-simplify]: Simplify -2 into -2 31.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.700 * [taylor]: Taking taylor expansion of PI in n 31.700 * [backup-simplify]: Simplify PI into PI 31.700 * [taylor]: Taking taylor expansion of n in n 31.700 * [backup-simplify]: Simplify 0 into 0 31.700 * [backup-simplify]: Simplify 1 into 1 31.700 * [backup-simplify]: Simplify (/ PI 1) into PI 31.701 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.701 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.703 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 31.703 * [backup-simplify]: Simplify 0 into 0 31.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.705 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 31.705 * [backup-simplify]: Simplify 0 into 0 31.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.707 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.707 * [backup-simplify]: Simplify 0 into 0 31.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.709 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.709 * [backup-simplify]: Simplify 0 into 0 31.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.712 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 31.712 * [backup-simplify]: Simplify 0 into 0 31.713 * [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 31.715 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 31.715 * [backup-simplify]: Simplify 0 into 0 31.716 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 31.716 * * * * [progress]: [ 4 / 4 ] generating series at (2) 31.716 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 31.716 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 31.716 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 31.716 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 31.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 31.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 31.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.717 * [taylor]: Taking taylor expansion of 1/2 in k 31.717 * [backup-simplify]: Simplify 1/2 into 1/2 31.717 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.717 * [taylor]: Taking taylor expansion of 1 in k 31.717 * [backup-simplify]: Simplify 1 into 1 31.717 * [taylor]: Taking taylor expansion of k in k 31.717 * [backup-simplify]: Simplify 0 into 0 31.717 * [backup-simplify]: Simplify 1 into 1 31.717 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 31.717 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 31.717 * [taylor]: Taking taylor expansion of 2 in k 31.717 * [backup-simplify]: Simplify 2 into 2 31.717 * [taylor]: Taking taylor expansion of (* n PI) in k 31.717 * [taylor]: Taking taylor expansion of n in k 31.717 * [backup-simplify]: Simplify n into n 31.717 * [taylor]: Taking taylor expansion of PI in k 31.717 * [backup-simplify]: Simplify PI into PI 31.717 * [backup-simplify]: Simplify (* n PI) into (* n PI) 31.717 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 31.717 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 31.718 * [backup-simplify]: Simplify (- 0) into 0 31.718 * [backup-simplify]: Simplify (+ 1 0) into 1 31.718 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.719 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 31.719 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 31.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.719 * [taylor]: Taking taylor expansion of k in k 31.719 * [backup-simplify]: Simplify 0 into 0 31.719 * [backup-simplify]: Simplify 1 into 1 31.719 * [backup-simplify]: Simplify (/ 1 1) into 1 31.720 * [backup-simplify]: Simplify (sqrt 0) into 0 31.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.721 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 31.721 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.721 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.721 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.721 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.721 * [taylor]: Taking taylor expansion of 1/2 in n 31.721 * [backup-simplify]: Simplify 1/2 into 1/2 31.721 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.721 * [taylor]: Taking taylor expansion of 1 in n 31.721 * [backup-simplify]: Simplify 1 into 1 31.721 * [taylor]: Taking taylor expansion of k in n 31.721 * [backup-simplify]: Simplify k into k 31.721 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.721 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.721 * [taylor]: Taking taylor expansion of 2 in n 31.721 * [backup-simplify]: Simplify 2 into 2 31.721 * [taylor]: Taking taylor expansion of (* n PI) in n 31.722 * [taylor]: Taking taylor expansion of n in n 31.722 * [backup-simplify]: Simplify 0 into 0 31.722 * [backup-simplify]: Simplify 1 into 1 31.722 * [taylor]: Taking taylor expansion of PI in n 31.722 * [backup-simplify]: Simplify PI into PI 31.722 * [backup-simplify]: Simplify (* 0 PI) into 0 31.722 * [backup-simplify]: Simplify (* 2 0) into 0 31.724 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.726 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.727 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.727 * [backup-simplify]: Simplify (- k) into (- k) 31.727 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.727 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.728 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.729 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.730 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.730 * [taylor]: Taking taylor expansion of k in n 31.730 * [backup-simplify]: Simplify k into k 31.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.731 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.731 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 31.731 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 31.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 31.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 31.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.731 * [taylor]: Taking taylor expansion of 1/2 in n 31.731 * [backup-simplify]: Simplify 1/2 into 1/2 31.731 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.731 * [taylor]: Taking taylor expansion of 1 in n 31.731 * [backup-simplify]: Simplify 1 into 1 31.731 * [taylor]: Taking taylor expansion of k in n 31.731 * [backup-simplify]: Simplify k into k 31.731 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 31.731 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 31.731 * [taylor]: Taking taylor expansion of 2 in n 31.731 * [backup-simplify]: Simplify 2 into 2 31.731 * [taylor]: Taking taylor expansion of (* n PI) in n 31.731 * [taylor]: Taking taylor expansion of n in n 31.731 * [backup-simplify]: Simplify 0 into 0 31.731 * [backup-simplify]: Simplify 1 into 1 31.731 * [taylor]: Taking taylor expansion of PI in n 31.731 * [backup-simplify]: Simplify PI into PI 31.737 * [backup-simplify]: Simplify (* 0 PI) into 0 31.738 * [backup-simplify]: Simplify (* 2 0) into 0 31.740 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.742 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 31.743 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.743 * [backup-simplify]: Simplify (- k) into (- k) 31.743 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.743 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.746 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 31.747 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 31.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.747 * [taylor]: Taking taylor expansion of k in n 31.747 * [backup-simplify]: Simplify k into k 31.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.747 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.749 * [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))) 31.749 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 31.749 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 31.749 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 31.749 * [taylor]: Taking taylor expansion of 1/2 in k 31.749 * [backup-simplify]: Simplify 1/2 into 1/2 31.749 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 31.749 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.749 * [taylor]: Taking taylor expansion of 1 in k 31.749 * [backup-simplify]: Simplify 1 into 1 31.749 * [taylor]: Taking taylor expansion of k in k 31.749 * [backup-simplify]: Simplify 0 into 0 31.749 * [backup-simplify]: Simplify 1 into 1 31.749 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 31.749 * [taylor]: Taking taylor expansion of (log n) in k 31.749 * [taylor]: Taking taylor expansion of n in k 31.749 * [backup-simplify]: Simplify n into n 31.749 * [backup-simplify]: Simplify (log n) into (log n) 31.749 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.749 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.749 * [taylor]: Taking taylor expansion of 2 in k 31.749 * [backup-simplify]: Simplify 2 into 2 31.749 * [taylor]: Taking taylor expansion of PI in k 31.749 * [backup-simplify]: Simplify PI into PI 31.750 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.751 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.751 * [backup-simplify]: Simplify (- 0) into 0 31.751 * [backup-simplify]: Simplify (+ 1 0) into 1 31.752 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.753 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 31.754 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 31.756 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 31.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.756 * [taylor]: Taking taylor expansion of k in k 31.756 * [backup-simplify]: Simplify 0 into 0 31.756 * [backup-simplify]: Simplify 1 into 1 31.756 * [backup-simplify]: Simplify (/ 1 1) into 1 31.756 * [backup-simplify]: Simplify (sqrt 0) into 0 31.758 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.759 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 31.759 * [backup-simplify]: Simplify 0 into 0 31.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 31.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.763 * [backup-simplify]: Simplify (- 0) into 0 31.764 * [backup-simplify]: Simplify (+ 0 0) into 0 31.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 31.768 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.769 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 31.770 * [taylor]: Taking taylor expansion of 0 in k 31.770 * [backup-simplify]: Simplify 0 into 0 31.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.773 * [backup-simplify]: Simplify (+ 0 0) into 0 31.774 * [backup-simplify]: Simplify (- 1) into -1 31.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.776 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 31.778 * [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))))) 31.781 * [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))))))) 31.785 * [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))))))) 31.786 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 31.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.787 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 31.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.793 * [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 31.793 * [backup-simplify]: Simplify (- 0) into 0 31.794 * [backup-simplify]: Simplify (+ 0 0) into 0 31.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.795 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.796 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.798 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.799 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 31.799 * [taylor]: Taking taylor expansion of 0 in k 31.799 * [backup-simplify]: Simplify 0 into 0 31.799 * [backup-simplify]: Simplify 0 into 0 31.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.801 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.805 * [backup-simplify]: Simplify (+ 0 0) into 0 31.805 * [backup-simplify]: Simplify (- 0) into 0 31.805 * [backup-simplify]: Simplify (+ 0 0) into 0 31.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 31.810 * [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))))) 31.815 * [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)))))))) 31.818 * [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)))))))) 31.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 31.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 31.823 * [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 31.823 * [backup-simplify]: Simplify (- 0) into 0 31.824 * [backup-simplify]: Simplify (+ 0 0) into 0 31.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 31.826 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 31.828 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.831 * [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 31.833 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 31.833 * [taylor]: Taking taylor expansion of 0 in k 31.833 * [backup-simplify]: Simplify 0 into 0 31.833 * [backup-simplify]: Simplify 0 into 0 31.833 * [backup-simplify]: Simplify 0 into 0 31.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.841 * [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 31.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.848 * [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 31.849 * [backup-simplify]: Simplify (+ 0 0) into 0 31.849 * [backup-simplify]: Simplify (- 0) into 0 31.850 * [backup-simplify]: Simplify (+ 0 0) into 0 31.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 31.863 * [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))))))) 31.873 * [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)))))))))))))) 31.879 * [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)))))))))))))) 31.895 * [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)))))))))))))))))))))) 31.896 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (/ 1 (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 31.896 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 31.896 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 31.896 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 31.896 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 31.896 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 31.896 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.896 * [taylor]: Taking taylor expansion of 1/2 in k 31.896 * [backup-simplify]: Simplify 1/2 into 1/2 31.896 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.896 * [taylor]: Taking taylor expansion of 1 in k 31.896 * [backup-simplify]: Simplify 1 into 1 31.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.896 * [taylor]: Taking taylor expansion of k in k 31.896 * [backup-simplify]: Simplify 0 into 0 31.896 * [backup-simplify]: Simplify 1 into 1 31.897 * [backup-simplify]: Simplify (/ 1 1) into 1 31.897 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 31.897 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 31.897 * [taylor]: Taking taylor expansion of 2 in k 31.897 * [backup-simplify]: Simplify 2 into 2 31.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.897 * [taylor]: Taking taylor expansion of PI in k 31.897 * [backup-simplify]: Simplify PI into PI 31.897 * [taylor]: Taking taylor expansion of n in k 31.897 * [backup-simplify]: Simplify n into n 31.897 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.897 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 31.897 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 31.897 * [backup-simplify]: Simplify (- 1) into -1 31.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.898 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.898 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 31.899 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 31.899 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.899 * [taylor]: Taking taylor expansion of k in k 31.899 * [backup-simplify]: Simplify 0 into 0 31.899 * [backup-simplify]: Simplify 1 into 1 31.899 * [backup-simplify]: Simplify (sqrt 0) into 0 31.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.900 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 31.900 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.900 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.901 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.901 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.901 * [taylor]: Taking taylor expansion of 1/2 in n 31.901 * [backup-simplify]: Simplify 1/2 into 1/2 31.901 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.901 * [taylor]: Taking taylor expansion of 1 in n 31.901 * [backup-simplify]: Simplify 1 into 1 31.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.901 * [taylor]: Taking taylor expansion of k in n 31.901 * [backup-simplify]: Simplify k into k 31.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.901 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.901 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.901 * [taylor]: Taking taylor expansion of 2 in n 31.901 * [backup-simplify]: Simplify 2 into 2 31.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.901 * [taylor]: Taking taylor expansion of PI in n 31.901 * [backup-simplify]: Simplify PI into PI 31.901 * [taylor]: Taking taylor expansion of n in n 31.901 * [backup-simplify]: Simplify 0 into 0 31.901 * [backup-simplify]: Simplify 1 into 1 31.901 * [backup-simplify]: Simplify (/ PI 1) into PI 31.902 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.903 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.903 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.903 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.904 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.906 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 31.907 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.907 * [taylor]: Taking taylor expansion of k in n 31.907 * [backup-simplify]: Simplify k into k 31.907 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.907 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 31.907 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 31.907 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 31.907 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 31.907 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.907 * [taylor]: Taking taylor expansion of 1/2 in n 31.907 * [backup-simplify]: Simplify 1/2 into 1/2 31.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.907 * [taylor]: Taking taylor expansion of 1 in n 31.907 * [backup-simplify]: Simplify 1 into 1 31.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.907 * [taylor]: Taking taylor expansion of k in n 31.907 * [backup-simplify]: Simplify k into k 31.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.907 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 31.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 31.907 * [taylor]: Taking taylor expansion of 2 in n 31.907 * [backup-simplify]: Simplify 2 into 2 31.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.907 * [taylor]: Taking taylor expansion of PI in n 31.907 * [backup-simplify]: Simplify PI into PI 31.908 * [taylor]: Taking taylor expansion of n in n 31.908 * [backup-simplify]: Simplify 0 into 0 31.908 * [backup-simplify]: Simplify 1 into 1 31.908 * [backup-simplify]: Simplify (/ PI 1) into PI 31.908 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.909 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.910 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.910 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.910 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.912 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 31.913 * [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))))) 31.913 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.913 * [taylor]: Taking taylor expansion of k in n 31.913 * [backup-simplify]: Simplify k into k 31.913 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.915 * [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)) 31.915 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 31.915 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 31.915 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 31.915 * [taylor]: Taking taylor expansion of 1/2 in k 31.915 * [backup-simplify]: Simplify 1/2 into 1/2 31.915 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 31.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.915 * [taylor]: Taking taylor expansion of 1 in k 31.915 * [backup-simplify]: Simplify 1 into 1 31.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.915 * [taylor]: Taking taylor expansion of k in k 31.915 * [backup-simplify]: Simplify 0 into 0 31.915 * [backup-simplify]: Simplify 1 into 1 31.915 * [backup-simplify]: Simplify (/ 1 1) into 1 31.915 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 31.915 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.915 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.915 * [taylor]: Taking taylor expansion of 2 in k 31.915 * [backup-simplify]: Simplify 2 into 2 31.915 * [taylor]: Taking taylor expansion of PI in k 31.916 * [backup-simplify]: Simplify PI into PI 31.916 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.917 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.917 * [taylor]: Taking taylor expansion of (log n) in k 31.917 * [taylor]: Taking taylor expansion of n in k 31.917 * [backup-simplify]: Simplify n into n 31.917 * [backup-simplify]: Simplify (log n) into (log n) 31.917 * [backup-simplify]: Simplify (- 1) into -1 31.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.918 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.919 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 31.920 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 31.921 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 31.922 * [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))))) 31.922 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.922 * [taylor]: Taking taylor expansion of k in k 31.922 * [backup-simplify]: Simplify 0 into 0 31.922 * [backup-simplify]: Simplify 1 into 1 31.923 * [backup-simplify]: Simplify (sqrt 0) into 0 31.924 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 31.925 * [backup-simplify]: Simplify 0 into 0 31.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.929 * [backup-simplify]: Simplify (- 0) into 0 31.929 * [backup-simplify]: Simplify (+ 0 0) into 0 31.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.933 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 31.934 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.936 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 31.936 * [taylor]: Taking taylor expansion of 0 in k 31.936 * [backup-simplify]: Simplify 0 into 0 31.936 * [backup-simplify]: Simplify 0 into 0 31.937 * [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))))))) 31.939 * [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))))))) 31.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 31.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.945 * [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 31.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.945 * [backup-simplify]: Simplify (- 0) into 0 31.946 * [backup-simplify]: Simplify (+ 0 0) into 0 31.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.948 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.950 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 31.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.954 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 31.954 * [taylor]: Taking taylor expansion of 0 in k 31.954 * [backup-simplify]: Simplify 0 into 0 31.954 * [backup-simplify]: Simplify 0 into 0 31.954 * [backup-simplify]: Simplify 0 into 0 31.958 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.959 * [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))))))) 31.961 * [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))))))) 31.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 31.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.968 * [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 31.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.969 * [backup-simplify]: Simplify (- 0) into 0 31.969 * [backup-simplify]: Simplify (+ 0 0) into 0 31.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 31.972 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 31.973 * [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 31.978 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 31.979 * [taylor]: Taking taylor expansion of 0 in k 31.979 * [backup-simplify]: Simplify 0 into 0 31.979 * [backup-simplify]: Simplify 0 into 0 31.979 * [backup-simplify]: Simplify 0 into 0 31.979 * [backup-simplify]: Simplify 0 into 0 31.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.982 * [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))))))) 31.983 * [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))))))) 31.986 * [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)))))))) 31.986 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (/ 1 (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 31.986 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 31.986 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 31.986 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 31.986 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 31.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 31.986 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.986 * [taylor]: Taking taylor expansion of 1/2 in k 31.986 * [backup-simplify]: Simplify 1/2 into 1/2 31.986 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.986 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.986 * [taylor]: Taking taylor expansion of k in k 31.986 * [backup-simplify]: Simplify 0 into 0 31.986 * [backup-simplify]: Simplify 1 into 1 31.987 * [backup-simplify]: Simplify (/ 1 1) into 1 31.987 * [taylor]: Taking taylor expansion of 1 in k 31.987 * [backup-simplify]: Simplify 1 into 1 31.987 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 31.987 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 31.987 * [taylor]: Taking taylor expansion of -2 in k 31.987 * [backup-simplify]: Simplify -2 into -2 31.987 * [taylor]: Taking taylor expansion of (/ PI n) in k 31.987 * [taylor]: Taking taylor expansion of PI in k 31.987 * [backup-simplify]: Simplify PI into PI 31.987 * [taylor]: Taking taylor expansion of n in k 31.987 * [backup-simplify]: Simplify n into n 31.987 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 31.987 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 31.987 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 31.987 * [backup-simplify]: Simplify (+ 1 0) into 1 31.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.988 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 31.988 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 31.988 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.988 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.988 * [taylor]: Taking taylor expansion of -1 in k 31.988 * [backup-simplify]: Simplify -1 into -1 31.988 * [taylor]: Taking taylor expansion of k in k 31.988 * [backup-simplify]: Simplify 0 into 0 31.988 * [backup-simplify]: Simplify 1 into 1 31.989 * [backup-simplify]: Simplify (/ -1 1) into -1 31.989 * [backup-simplify]: Simplify (sqrt 0) into 0 31.991 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.991 * [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))))) 31.991 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 31.991 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.991 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.991 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.991 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.991 * [taylor]: Taking taylor expansion of 1/2 in n 31.991 * [backup-simplify]: Simplify 1/2 into 1/2 31.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.991 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.991 * [taylor]: Taking taylor expansion of k in n 31.991 * [backup-simplify]: Simplify k into k 31.991 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.991 * [taylor]: Taking taylor expansion of 1 in n 31.991 * [backup-simplify]: Simplify 1 into 1 31.991 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.991 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.991 * [taylor]: Taking taylor expansion of -2 in n 31.991 * [backup-simplify]: Simplify -2 into -2 31.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.991 * [taylor]: Taking taylor expansion of PI in n 31.991 * [backup-simplify]: Simplify PI into PI 31.991 * [taylor]: Taking taylor expansion of n in n 31.991 * [backup-simplify]: Simplify 0 into 0 31.991 * [backup-simplify]: Simplify 1 into 1 31.992 * [backup-simplify]: Simplify (/ PI 1) into PI 31.992 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 31.993 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 31.993 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.993 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.995 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 31.996 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 31.997 * [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))))) 31.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.997 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.997 * [taylor]: Taking taylor expansion of -1 in n 31.997 * [backup-simplify]: Simplify -1 into -1 31.997 * [taylor]: Taking taylor expansion of k in n 31.997 * [backup-simplify]: Simplify k into k 31.997 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.997 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.997 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.999 * [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))) 31.999 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 31.999 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 31.999 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 31.999 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 31.999 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.999 * [taylor]: Taking taylor expansion of 1/2 in n 31.999 * [backup-simplify]: Simplify 1/2 into 1/2 31.999 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.999 * [taylor]: Taking taylor expansion of k in n 31.999 * [backup-simplify]: Simplify k into k 31.999 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.999 * [taylor]: Taking taylor expansion of 1 in n 31.999 * [backup-simplify]: Simplify 1 into 1 31.999 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 31.999 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 31.999 * [taylor]: Taking taylor expansion of -2 in n 31.999 * [backup-simplify]: Simplify -2 into -2 31.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 31.999 * [taylor]: Taking taylor expansion of PI in n 31.999 * [backup-simplify]: Simplify PI into PI 31.999 * [taylor]: Taking taylor expansion of n in n 31.999 * [backup-simplify]: Simplify 0 into 0 31.999 * [backup-simplify]: Simplify 1 into 1 32.000 * [backup-simplify]: Simplify (/ PI 1) into PI 32.000 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 32.001 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 32.001 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 32.001 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 32.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 32.004 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 32.005 * [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))))) 32.005 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 32.005 * [taylor]: Taking taylor expansion of (/ -1 k) in n 32.005 * [taylor]: Taking taylor expansion of -1 in n 32.006 * [backup-simplify]: Simplify -1 into -1 32.006 * [taylor]: Taking taylor expansion of k in n 32.006 * [backup-simplify]: Simplify k into k 32.006 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 32.006 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 32.006 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 32.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 32.007 * [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))) 32.007 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 32.007 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 32.007 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 32.007 * [taylor]: Taking taylor expansion of 1/2 in k 32.007 * [backup-simplify]: Simplify 1/2 into 1/2 32.007 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 32.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 32.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.007 * [taylor]: Taking taylor expansion of k in k 32.007 * [backup-simplify]: Simplify 0 into 0 32.008 * [backup-simplify]: Simplify 1 into 1 32.008 * [backup-simplify]: Simplify (/ 1 1) into 1 32.008 * [taylor]: Taking taylor expansion of 1 in k 32.008 * [backup-simplify]: Simplify 1 into 1 32.008 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 32.008 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 32.008 * [taylor]: Taking taylor expansion of (* -2 PI) in k 32.008 * [taylor]: Taking taylor expansion of -2 in k 32.008 * [backup-simplify]: Simplify -2 into -2 32.008 * [taylor]: Taking taylor expansion of PI in k 32.008 * [backup-simplify]: Simplify PI into PI 32.009 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 32.010 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 32.010 * [taylor]: Taking taylor expansion of (log n) in k 32.010 * [taylor]: Taking taylor expansion of n in k 32.010 * [backup-simplify]: Simplify n into n 32.010 * [backup-simplify]: Simplify (log n) into (log n) 32.010 * [backup-simplify]: Simplify (+ 1 0) into 1 32.010 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 32.011 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 32.012 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 32.013 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 32.014 * [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))))) 32.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 32.015 * [taylor]: Taking taylor expansion of (/ -1 k) in k 32.015 * [taylor]: Taking taylor expansion of -1 in k 32.015 * [backup-simplify]: Simplify -1 into -1 32.015 * [taylor]: Taking taylor expansion of k in k 32.015 * [backup-simplify]: Simplify 0 into 0 32.015 * [backup-simplify]: Simplify 1 into 1 32.015 * [backup-simplify]: Simplify (/ -1 1) into -1 32.016 * [backup-simplify]: Simplify (sqrt 0) into 0 32.017 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 32.018 * [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)))))) 32.020 * [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)))))) 32.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 32.021 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 32.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 32.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 32.023 * [backup-simplify]: Simplify (+ 0 0) into 0 32.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 32.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 32.026 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 32.028 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 32.030 * [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 32.030 * [taylor]: Taking taylor expansion of 0 in k 32.030 * [backup-simplify]: Simplify 0 into 0 32.030 * [backup-simplify]: Simplify 0 into 0 32.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 32.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.036 * [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))))))) 32.037 * [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))))))) 32.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.039 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 32.042 * [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 32.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.043 * [backup-simplify]: Simplify (+ 0 0) into 0 32.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 32.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 32.047 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 32.050 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 32.050 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 32.052 * [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 32.052 * [taylor]: Taking taylor expansion of 0 in k 32.052 * [backup-simplify]: Simplify 0 into 0 32.052 * [backup-simplify]: Simplify 0 into 0 32.052 * [backup-simplify]: Simplify 0 into 0 32.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.061 * [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))))))) 32.062 * [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))))))) 32.066 * [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)))))))))))) 32.066 * * * [progress]: simplifying candidates 32.066 * * * * [progress]: [ 1 / 189 ] simplifiying candidate # 32.066 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 32.067 * * [simplify]: iters left: 6 (13 enodes) 32.075 * * [simplify]: iters left: 5 (54 enodes) 32.085 * * [simplify]: iters left: 4 (97 enodes) 32.110 * * [simplify]: iters left: 3 (244 enodes) 32.225 * * [simplify]: Extracting #0: cost 1 inf + 0 32.225 * * [simplify]: Extracting #1: cost 32 inf + 0 32.225 * * [simplify]: Extracting #2: cost 126 inf + 2 32.225 * * [simplify]: Extracting #3: cost 173 inf + 75 32.227 * * [simplify]: Extracting #4: cost 127 inf + 6635 32.232 * * [simplify]: Extracting #5: cost 15 inf + 36816 32.239 * * [simplify]: Extracting #6: cost 0 inf + 41489 32.246 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 32.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (/ 1 (sqrt k)))) 32.246 * * * * [progress]: [ 2 / 189 ] simplifiying candidate # 32.247 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 32.247 * * [simplify]: iters left: 6 (12 enodes) 32.254 * * [simplify]: iters left: 5 (52 enodes) 32.272 * * [simplify]: iters left: 4 (90 enodes) 32.291 * * [simplify]: iters left: 3 (203 enodes) 32.383 * * [simplify]: Extracting #0: cost 1 inf + 0 32.383 * * [simplify]: Extracting #1: cost 29 inf + 0 32.384 * * [simplify]: Extracting #2: cost 112 inf + 2 32.385 * * [simplify]: Extracting #3: cost 149 inf + 341 32.387 * * [simplify]: Extracting #4: cost 110 inf + 5554 32.394 * * [simplify]: Extracting #5: cost 30 inf + 23496 32.404 * * [simplify]: Extracting #6: cost 1 inf + 31878 32.410 * * [simplify]: Extracting #7: cost 0 inf + 32142 32.416 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 32.416 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (/ 1 (sqrt k)))) 32.416 * * * * [progress]: [ 3 / 189 ] simplifiying candidate # 32.416 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 32.416 * * [simplify]: iters left: 6 (11 enodes) 32.420 * * [simplify]: iters left: 5 (51 enodes) 32.433 * * [simplify]: iters left: 4 (97 enodes) 32.460 * * [simplify]: iters left: 3 (199 enodes) 32.523 * * [simplify]: Extracting #0: cost 1 inf + 0 32.524 * * [simplify]: Extracting #1: cost 32 inf + 0 32.524 * * [simplify]: Extracting #2: cost 113 inf + 2 32.524 * * [simplify]: Extracting #3: cost 154 inf + 200 32.525 * * [simplify]: Extracting #4: cost 123 inf + 3386 32.530 * * [simplify]: Extracting #5: cost 47 inf + 17339 32.535 * * [simplify]: Extracting #6: cost 3 inf + 27690 32.541 * * [simplify]: Extracting #7: cost 0 inf + 28612 32.546 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 32.546 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 32.546 * * * * [progress]: [ 4 / 189 ] simplifiying candidate # 32.546 * * * * [progress]: [ 5 / 189 ] simplifiying candidate # 32.547 * [simplify]: Simplifying (* n (* 2 PI)) 32.547 * * [simplify]: iters left: 4 (5 enodes) 32.549 * * [simplify]: iters left: 3 (19 enodes) 32.552 * * [simplify]: iters left: 2 (27 enodes) 32.557 * * [simplify]: iters left: 1 (32 enodes) 32.561 * * [simplify]: Extracting #0: cost 1 inf + 0 32.561 * * [simplify]: Extracting #1: cost 8 inf + 0 32.561 * * [simplify]: Extracting #2: cost 7 inf + 45 32.561 * * [simplify]: Extracting #3: cost 0 inf + 421 32.561 * [simplify]: Simplified to (* (* PI 2) n) 32.562 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.562 * * * * [progress]: [ 6 / 189 ] simplifiying candidate # 32.562 * [simplify]: Simplifying (* n (* 2 PI)) 32.562 * * [simplify]: iters left: 4 (5 enodes) 32.563 * * [simplify]: iters left: 3 (19 enodes) 32.567 * * [simplify]: iters left: 2 (27 enodes) 32.575 * * [simplify]: iters left: 1 (32 enodes) 32.583 * * [simplify]: Extracting #0: cost 1 inf + 0 32.583 * * [simplify]: Extracting #1: cost 8 inf + 0 32.583 * * [simplify]: Extracting #2: cost 7 inf + 45 32.584 * * [simplify]: Extracting #3: cost 0 inf + 421 32.584 * [simplify]: Simplified to (* (* PI 2) n) 32.584 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.584 * * * * [progress]: [ 7 / 189 ] simplifiying candidate # 32.584 * [simplify]: Simplifying (* n (* 2 PI)) 32.585 * * [simplify]: iters left: 4 (5 enodes) 32.587 * * [simplify]: iters left: 3 (19 enodes) 32.590 * * [simplify]: iters left: 2 (27 enodes) 32.595 * * [simplify]: iters left: 1 (32 enodes) 32.599 * * [simplify]: Extracting #0: cost 1 inf + 0 32.599 * * [simplify]: Extracting #1: cost 8 inf + 0 32.599 * * [simplify]: Extracting #2: cost 7 inf + 45 32.599 * * [simplify]: Extracting #3: cost 0 inf + 421 32.599 * [simplify]: Simplified to (* (* PI 2) n) 32.599 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.599 * * * * [progress]: [ 8 / 189 ] simplifiying candidate # 32.599 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 32.600 * * [simplify]: iters left: 5 (8 enodes) 32.602 * * [simplify]: iters left: 4 (31 enodes) 32.607 * * [simplify]: iters left: 3 (51 enodes) 32.616 * * [simplify]: iters left: 2 (85 enodes) 32.642 * * [simplify]: iters left: 1 (152 enodes) 32.676 * * [simplify]: Extracting #0: cost 1 inf + 0 32.676 * * [simplify]: Extracting #1: cost 13 inf + 0 32.676 * * [simplify]: Extracting #2: cost 59 inf + 1 32.677 * * [simplify]: Extracting #3: cost 76 inf + 9 32.678 * * [simplify]: Extracting #4: cost 41 inf + 3303 32.681 * * [simplify]: Extracting #5: cost 16 inf + 10676 32.686 * * [simplify]: Extracting #6: cost 0 inf + 21028 32.692 * * [simplify]: Extracting #7: cost 0 inf + 20456 32.697 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 32.697 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 32.697 * * * * [progress]: [ 9 / 189 ] simplifiying candidate # 32.698 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 32.698 * * [simplify]: iters left: 5 (6 enodes) 32.702 * * [simplify]: iters left: 4 (26 enodes) 32.711 * * [simplify]: iters left: 3 (35 enodes) 32.721 * * [simplify]: iters left: 2 (37 enodes) 32.728 * * [simplify]: iters left: 1 (41 enodes) 32.737 * * [simplify]: Extracting #0: cost 1 inf + 0 32.737 * * [simplify]: Extracting #1: cost 3 inf + 0 32.737 * * [simplify]: Extracting #2: cost 9 inf + 0 32.737 * * [simplify]: Extracting #3: cost 13 inf + 2 32.737 * * [simplify]: Extracting #4: cost 10 inf + 87 32.738 * * [simplify]: Extracting #5: cost 3 inf + 582 32.738 * * [simplify]: Extracting #6: cost 0 inf + 910 32.738 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 32.738 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.738 * * * * [progress]: [ 10 / 189 ] simplifiying candidate # 32.738 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 32.738 * * [simplify]: iters left: 5 (6 enodes) 32.741 * * [simplify]: iters left: 4 (26 enodes) 32.745 * * [simplify]: iters left: 3 (35 enodes) 32.751 * * [simplify]: iters left: 2 (37 enodes) 32.758 * * [simplify]: iters left: 1 (41 enodes) 32.770 * * [simplify]: Extracting #0: cost 1 inf + 0 32.770 * * [simplify]: Extracting #1: cost 3 inf + 0 32.770 * * [simplify]: Extracting #2: cost 9 inf + 0 32.770 * * [simplify]: Extracting #3: cost 13 inf + 2 32.771 * * [simplify]: Extracting #4: cost 10 inf + 87 32.771 * * [simplify]: Extracting #5: cost 3 inf + 542 32.771 * * [simplify]: Extracting #6: cost 0 inf + 830 32.772 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 32.772 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 32.772 * * * * [progress]: [ 11 / 189 ] simplifiying candidate # 32.772 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 32.772 * * [simplify]: iters left: 5 (7 enodes) 32.777 * * [simplify]: iters left: 4 (25 enodes) 32.786 * * [simplify]: iters left: 3 (30 enodes) 32.796 * * [simplify]: Extracting #0: cost 1 inf + 0 32.796 * * [simplify]: Extracting #1: cost 4 inf + 0 32.796 * * [simplify]: Extracting #2: cost 8 inf + 0 32.796 * * [simplify]: Extracting #3: cost 10 inf + 82 32.796 * * [simplify]: Extracting #4: cost 7 inf + 206 32.796 * * [simplify]: Extracting #5: cost 2 inf + 575 32.796 * * [simplify]: Extracting #6: cost 1 inf + 818 32.797 * * [simplify]: Extracting #7: cost 0 inf + 1061 32.797 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 32.797 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 32.797 * * * * [progress]: [ 12 / 189 ] simplifiying candidate # 32.798 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 32.798 * * [simplify]: iters left: 5 (7 enodes) 32.802 * * [simplify]: iters left: 4 (25 enodes) 32.809 * * [simplify]: iters left: 3 (30 enodes) 32.814 * * [simplify]: Extracting #0: cost 1 inf + 0 32.814 * * [simplify]: Extracting #1: cost 4 inf + 0 32.814 * * [simplify]: Extracting #2: cost 8 inf + 0 32.814 * * [simplify]: Extracting #3: cost 10 inf + 42 32.814 * * [simplify]: Extracting #4: cost 7 inf + 126 32.814 * * [simplify]: Extracting #5: cost 2 inf + 495 32.815 * * [simplify]: Extracting #6: cost 1 inf + 698 32.815 * * [simplify]: Extracting #7: cost 0 inf + 901 32.815 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 32.815 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 32.815 * * * * [progress]: [ 13 / 189 ] simplifiying candidate # 32.816 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 32.816 * * [simplify]: iters left: 5 (6 enodes) 32.818 * * [simplify]: iters left: 4 (22 enodes) 32.821 * * [simplify]: iters left: 3 (27 enodes) 32.826 * * [simplify]: Extracting #0: cost 1 inf + 0 32.826 * * [simplify]: Extracting #1: cost 4 inf + 0 32.826 * * [simplify]: Extracting #2: cost 5 inf + 1 32.826 * * [simplify]: Extracting #3: cost 9 inf + 1 32.826 * * [simplify]: Extracting #4: cost 8 inf + 3 32.826 * * [simplify]: Extracting #5: cost 4 inf + 169 32.826 * * [simplify]: Extracting #6: cost 1 inf + 576 32.826 * * [simplify]: Extracting #7: cost 0 inf + 739 32.826 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 32.826 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 32.826 * * * * [progress]: [ 14 / 189 ] simplifiying candidate # 32.826 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 32.827 * * [simplify]: iters left: 5 (7 enodes) 32.829 * * [simplify]: iters left: 4 (25 enodes) 32.833 * * [simplify]: iters left: 3 (30 enodes) 32.839 * * [simplify]: Extracting #0: cost 1 inf + 0 32.839 * * [simplify]: Extracting #1: cost 4 inf + 0 32.839 * * [simplify]: Extracting #2: cost 8 inf + 0 32.839 * * [simplify]: Extracting #3: cost 10 inf + 82 32.839 * * [simplify]: Extracting #4: cost 7 inf + 206 32.839 * * [simplify]: Extracting #5: cost 2 inf + 495 32.839 * * [simplify]: Extracting #6: cost 1 inf + 698 32.839 * * [simplify]: Extracting #7: cost 0 inf + 901 32.839 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 32.839 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 32.840 * * * * [progress]: [ 15 / 189 ] simplifiying candidate # 32.840 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 32.840 * * [simplify]: iters left: 5 (7 enodes) 32.844 * * [simplify]: iters left: 4 (25 enodes) 32.849 * * [simplify]: iters left: 3 (30 enodes) 32.854 * * [simplify]: Extracting #0: cost 1 inf + 0 32.854 * * [simplify]: Extracting #1: cost 4 inf + 0 32.854 * * [simplify]: Extracting #2: cost 8 inf + 0 32.854 * * [simplify]: Extracting #3: cost 10 inf + 42 32.854 * * [simplify]: Extracting #4: cost 7 inf + 126 32.854 * * [simplify]: Extracting #5: cost 2 inf + 415 32.854 * * [simplify]: Extracting #6: cost 1 inf + 578 32.855 * * [simplify]: Extracting #7: cost 0 inf + 741 32.855 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 32.855 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 32.855 * * * * [progress]: [ 16 / 189 ] simplifiying candidate # 32.855 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 32.855 * * [simplify]: iters left: 5 (6 enodes) 32.857 * * [simplify]: iters left: 4 (22 enodes) 32.861 * * [simplify]: iters left: 3 (27 enodes) 32.865 * * [simplify]: Extracting #0: cost 1 inf + 0 32.865 * * [simplify]: Extracting #1: cost 4 inf + 0 32.865 * * [simplify]: Extracting #2: cost 5 inf + 1 32.865 * * [simplify]: Extracting #3: cost 9 inf + 1 32.865 * * [simplify]: Extracting #4: cost 8 inf + 3 32.865 * * [simplify]: Extracting #5: cost 4 inf + 169 32.866 * * [simplify]: Extracting #6: cost 1 inf + 456 32.866 * * [simplify]: Extracting #7: cost 0 inf + 579 32.866 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 32.866 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 32.866 * * * * [progress]: [ 17 / 189 ] simplifiying candidate # 32.866 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.866 * * [simplify]: iters left: 4 (6 enodes) 32.868 * * [simplify]: iters left: 3 (25 enodes) 32.874 * * [simplify]: iters left: 2 (36 enodes) 32.886 * * [simplify]: iters left: 1 (40 enodes) 32.898 * * [simplify]: Extracting #0: cost 1 inf + 0 32.898 * * [simplify]: Extracting #1: cost 7 inf + 0 32.898 * * [simplify]: Extracting #2: cost 16 inf + 0 32.898 * * [simplify]: Extracting #3: cost 13 inf + 44 32.898 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.899 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.899 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.899 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 32.900 * * * * [progress]: [ 18 / 189 ] simplifiying candidate # 32.900 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.900 * * [simplify]: iters left: 4 (6 enodes) 32.904 * * [simplify]: iters left: 3 (25 enodes) 32.912 * * [simplify]: iters left: 2 (36 enodes) 32.923 * * [simplify]: iters left: 1 (40 enodes) 32.935 * * [simplify]: Extracting #0: cost 1 inf + 0 32.935 * * [simplify]: Extracting #1: cost 7 inf + 0 32.935 * * [simplify]: Extracting #2: cost 16 inf + 0 32.935 * * [simplify]: Extracting #3: cost 13 inf + 44 32.935 * * [simplify]: Extracting #4: cost 3 inf + 823 32.936 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.936 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.936 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 32.936 * * * * [progress]: [ 19 / 189 ] simplifiying candidate # 32.937 * [simplify]: Simplifying (/ (- 1 k) 2) 32.937 * * [simplify]: iters left: 4 (5 enodes) 32.941 * * [simplify]: iters left: 3 (23 enodes) 32.948 * * [simplify]: iters left: 2 (32 enodes) 32.958 * * [simplify]: iters left: 1 (34 enodes) 32.968 * * [simplify]: Extracting #0: cost 1 inf + 0 32.968 * * [simplify]: Extracting #1: cost 7 inf + 0 32.968 * * [simplify]: Extracting #2: cost 11 inf + 2 32.968 * * [simplify]: Extracting #3: cost 10 inf + 4 32.968 * * [simplify]: Extracting #4: cost 4 inf + 337 32.969 * * [simplify]: Extracting #5: cost 0 inf + 584 32.969 * [simplify]: Simplified to (/ (- 1 k) 2) 32.969 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.969 * * * * [progress]: [ 20 / 189 ] simplifiying candidate # 32.970 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 32.970 * * [simplify]: iters left: 5 (8 enodes) 32.978 * * [simplify]: iters left: 4 (31 enodes) 32.988 * * [simplify]: iters left: 3 (45 enodes) 33.000 * * [simplify]: iters left: 2 (52 enodes) 33.008 * * [simplify]: iters left: 1 (53 enodes) 33.016 * * [simplify]: Extracting #0: cost 1 inf + 0 33.016 * * [simplify]: Extracting #1: cost 8 inf + 0 33.016 * * [simplify]: Extracting #2: cost 18 inf + 0 33.016 * * [simplify]: Extracting #3: cost 19 inf + 2 33.016 * * [simplify]: Extracting #4: cost 9 inf + 977 33.016 * * [simplify]: Extracting #5: cost 2 inf + 1790 33.017 * * [simplify]: Extracting #6: cost 0 inf + 2195 33.017 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 33.017 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 33.017 * * * * [progress]: [ 21 / 189 ] simplifiying candidate # 33.018 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 33.018 * * [simplify]: iters left: 5 (8 enodes) 33.022 * * [simplify]: iters left: 4 (31 enodes) 33.032 * * [simplify]: iters left: 3 (45 enodes) 33.045 * * [simplify]: iters left: 2 (52 enodes) 33.059 * * [simplify]: iters left: 1 (53 enodes) 33.073 * * [simplify]: Extracting #0: cost 1 inf + 0 33.073 * * [simplify]: Extracting #1: cost 8 inf + 0 33.073 * * [simplify]: Extracting #2: cost 18 inf + 0 33.073 * * [simplify]: Extracting #3: cost 19 inf + 2 33.074 * * [simplify]: Extracting #4: cost 9 inf + 697 33.074 * * [simplify]: Extracting #5: cost 2 inf + 1390 33.075 * * [simplify]: Extracting #6: cost 0 inf + 1715 33.076 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 33.076 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 33.076 * * * * [progress]: [ 22 / 189 ] simplifiying candidate # 33.076 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 33.076 * * [simplify]: iters left: 5 (7 enodes) 33.081 * * [simplify]: iters left: 4 (29 enodes) 33.091 * * [simplify]: iters left: 3 (43 enodes) 33.103 * * [simplify]: iters left: 2 (48 enodes) 33.118 * * [simplify]: Extracting #0: cost 1 inf + 0 33.118 * * [simplify]: Extracting #1: cost 7 inf + 0 33.118 * * [simplify]: Extracting #2: cost 11 inf + 2 33.118 * * [simplify]: Extracting #3: cost 13 inf + 3 33.118 * * [simplify]: Extracting #4: cost 11 inf + 45 33.119 * * [simplify]: Extracting #5: cost 0 inf + 1066 33.119 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 33.119 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 33.120 * * * * [progress]: [ 23 / 189 ] simplifiying candidate # 33.120 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 33.120 * * [simplify]: iters left: 5 (7 enodes) 33.125 * * [simplify]: iters left: 4 (28 enodes) 33.134 * * [simplify]: iters left: 3 (39 enodes) 33.141 * * [simplify]: iters left: 2 (43 enodes) 33.148 * * [simplify]: Extracting #0: cost 1 inf + 0 33.148 * * [simplify]: Extracting #1: cost 7 inf + 0 33.148 * * [simplify]: Extracting #2: cost 16 inf + 0 33.148 * * [simplify]: Extracting #3: cost 15 inf + 164 33.148 * * [simplify]: Extracting #4: cost 13 inf + 287 33.148 * * [simplify]: Extracting #5: cost 5 inf + 1180 33.148 * * [simplify]: Extracting #6: cost 0 inf + 1951 33.149 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 33.149 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 33.149 * * * * [progress]: [ 24 / 189 ] simplifiying candidate # 33.149 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 33.149 * * [simplify]: iters left: 5 (7 enodes) 33.151 * * [simplify]: iters left: 4 (28 enodes) 33.156 * * [simplify]: iters left: 3 (39 enodes) 33.163 * * [simplify]: iters left: 2 (43 enodes) 33.172 * * [simplify]: Extracting #0: cost 1 inf + 0 33.172 * * [simplify]: Extracting #1: cost 7 inf + 0 33.172 * * [simplify]: Extracting #2: cost 16 inf + 0 33.172 * * [simplify]: Extracting #3: cost 15 inf + 84 33.172 * * [simplify]: Extracting #4: cost 13 inf + 167 33.173 * * [simplify]: Extracting #5: cost 5 inf + 900 33.173 * * [simplify]: Extracting #6: cost 0 inf + 1551 33.174 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 33.174 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 33.174 * * * * [progress]: [ 25 / 189 ] simplifiying candidate # 33.174 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 33.174 * * [simplify]: iters left: 5 (6 enodes) 33.179 * * [simplify]: iters left: 4 (26 enodes) 33.188 * * [simplify]: iters left: 3 (35 enodes) 33.195 * * [simplify]: iters left: 2 (37 enodes) 33.201 * * [simplify]: iters left: 1 (41 enodes) 33.207 * * [simplify]: Extracting #0: cost 1 inf + 0 33.207 * * [simplify]: Extracting #1: cost 7 inf + 0 33.207 * * [simplify]: Extracting #2: cost 11 inf + 2 33.207 * * [simplify]: Extracting #3: cost 13 inf + 3 33.208 * * [simplify]: Extracting #4: cost 12 inf + 4 33.208 * * [simplify]: Extracting #5: cost 6 inf + 412 33.208 * * [simplify]: Extracting #6: cost 2 inf + 821 33.208 * * [simplify]: Extracting #7: cost 0 inf + 1066 33.208 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 33.208 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (/ 1 (sqrt k)))) 33.208 * * * * [progress]: [ 26 / 189 ] simplifiying candidate # 33.209 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 33.209 * * [simplify]: iters left: 4 (6 enodes) 33.211 * * [simplify]: iters left: 3 (25 enodes) 33.216 * * [simplify]: iters left: 2 (36 enodes) 33.222 * * [simplify]: iters left: 1 (40 enodes) 33.230 * * [simplify]: Extracting #0: cost 1 inf + 0 33.230 * * [simplify]: Extracting #1: cost 7 inf + 0 33.230 * * [simplify]: Extracting #2: cost 16 inf + 0 33.230 * * [simplify]: Extracting #3: cost 13 inf + 44 33.230 * * [simplify]: Extracting #4: cost 3 inf + 1103 33.231 * * [simplify]: Extracting #5: cost 0 inf + 1469 33.231 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 33.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 33.231 * * * * [progress]: [ 27 / 189 ] simplifiying candidate # 33.231 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 33.231 * * [simplify]: iters left: 4 (6 enodes) 33.233 * * [simplify]: iters left: 3 (25 enodes) 33.241 * * [simplify]: iters left: 2 (36 enodes) 33.252 * * [simplify]: iters left: 1 (40 enodes) 33.264 * * [simplify]: Extracting #0: cost 1 inf + 0 33.264 * * [simplify]: Extracting #1: cost 7 inf + 0 33.265 * * [simplify]: Extracting #2: cost 16 inf + 0 33.265 * * [simplify]: Extracting #3: cost 13 inf + 44 33.265 * * [simplify]: Extracting #4: cost 3 inf + 823 33.265 * * [simplify]: Extracting #5: cost 0 inf + 1069 33.266 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 33.266 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 33.266 * * * * [progress]: [ 28 / 189 ] simplifiying candidate # 33.266 * [simplify]: Simplifying (/ (- 1 k) 2) 33.267 * * [simplify]: iters left: 4 (5 enodes) 33.270 * * [simplify]: iters left: 3 (23 enodes) 33.279 * * [simplify]: iters left: 2 (32 enodes) 33.289 * * [simplify]: iters left: 1 (34 enodes) 33.297 * * [simplify]: Extracting #0: cost 1 inf + 0 33.297 * * [simplify]: Extracting #1: cost 7 inf + 0 33.297 * * [simplify]: Extracting #2: cost 11 inf + 2 33.297 * * [simplify]: Extracting #3: cost 10 inf + 4 33.298 * * [simplify]: Extracting #4: cost 4 inf + 337 33.298 * * [simplify]: Extracting #5: cost 0 inf + 584 33.298 * [simplify]: Simplified to (/ (- 1 k) 2) 33.298 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.298 * * * * [progress]: [ 29 / 189 ] simplifiying candidate # 33.298 * [simplify]: Simplifying (/ (- 1 k) 2) 33.298 * * [simplify]: iters left: 4 (5 enodes) 33.300 * * [simplify]: iters left: 3 (23 enodes) 33.304 * * [simplify]: iters left: 2 (32 enodes) 33.310 * * [simplify]: iters left: 1 (34 enodes) 33.315 * * [simplify]: Extracting #0: cost 1 inf + 0 33.315 * * [simplify]: Extracting #1: cost 7 inf + 0 33.315 * * [simplify]: Extracting #2: cost 11 inf + 2 33.315 * * [simplify]: Extracting #3: cost 10 inf + 4 33.315 * * [simplify]: Extracting #4: cost 4 inf + 337 33.315 * * [simplify]: Extracting #5: cost 0 inf + 584 33.316 * [simplify]: Simplified to (/ (- 1 k) 2) 33.316 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 33.316 * * * * [progress]: [ 30 / 189 ] simplifiying candidate # 33.316 * [simplify]: Simplifying (/ 1 2) 33.316 * * [simplify]: iters left: 2 (3 enodes) 33.318 * * [simplify]: iters left: 1 (12 enodes) 33.320 * * [simplify]: Extracting #0: cost 1 inf + 0 33.320 * * [simplify]: Extracting #1: cost 0 inf + 1 33.320 * [simplify]: Simplified to 1/2 33.320 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 33.320 * * * * [progress]: [ 31 / 189 ] simplifiying candidate # 33.320 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 33.320 * * [simplify]: iters left: 5 (7 enodes) 33.323 * * [simplify]: iters left: 4 (32 enodes) 33.329 * * [simplify]: iters left: 3 (57 enodes) 33.343 * * [simplify]: iters left: 2 (90 enodes) 33.378 * * [simplify]: iters left: 1 (170 enodes) 33.432 * * [simplify]: Extracting #0: cost 1 inf + 0 33.432 * * [simplify]: Extracting #1: cost 13 inf + 0 33.432 * * [simplify]: Extracting #2: cost 54 inf + 2 33.433 * * [simplify]: Extracting #3: cost 89 inf + 6 33.433 * * [simplify]: Extracting #4: cost 78 inf + 1344 33.435 * * [simplify]: Extracting #5: cost 20 inf + 14664 33.438 * * [simplify]: Extracting #6: cost 1 inf + 22045 33.442 * * [simplify]: Extracting #7: cost 0 inf + 21300 33.449 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 33.450 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 33.450 * * * * [progress]: [ 32 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 33 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 34 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 35 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 36 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 37 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 38 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 39 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 40 / 189 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 33.450 * * * * [progress]: [ 41 / 189 ] simplifiying candidate # 33.450 * * * * [progress]: [ 42 / 189 ] simplifiying candidate # 33.451 * [simplify]: Simplifying (- 1/2) 33.451 * * [simplify]: iters left: 2 (2 enodes) 33.453 * * [simplify]: iters left: 1 (7 enodes) 33.455 * * [simplify]: Extracting #0: cost 1 inf + 0 33.455 * * [simplify]: Extracting #1: cost 0 inf + 1 33.455 * [simplify]: Simplified to -1/2 33.455 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 33.456 * * * * [progress]: [ 43 / 189 ] simplifiying candidate # 33.456 * [simplify]: Simplifying (- 1) 33.456 * * [simplify]: iters left: 2 (2 enodes) 33.457 * * [simplify]: iters left: 1 (9 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 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 33.459 * * * * [progress]: [ 44 / 189 ] simplifiying candidate # 33.462 * [simplify]: Simplifying (- (/ 1 2)) 33.463 * * [simplify]: iters left: 4 (4 enodes) 33.466 * * [simplify]: iters left: 3 (19 enodes) 33.469 * * [simplify]: iters left: 2 (23 enodes) 33.473 * * [simplify]: Extracting #0: cost 1 inf + 0 33.473 * * [simplify]: Extracting #1: cost 0 inf + 1 33.473 * [simplify]: Simplified to -1/2 33.473 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 33.473 * * * * [progress]: [ 45 / 189 ] simplifiying candidate # 33.473 * * * * [progress]: [ 46 / 189 ] simplifiying candidate # 33.473 * * * * [progress]: [ 47 / 189 ] simplifiying candidate # 33.473 * [simplify]: Simplifying (- 0 (log (sqrt k))) 33.473 * * [simplify]: iters left: 4 (5 enodes) 33.475 * * [simplify]: iters left: 3 (17 enodes) 33.478 * * [simplify]: iters left: 2 (21 enodes) 33.481 * * [simplify]: iters left: 1 (23 enodes) 33.484 * * [simplify]: Extracting #0: cost 1 inf + 0 33.484 * * [simplify]: Extracting #1: cost 4 inf + 0 33.485 * * [simplify]: Extracting #2: cost 5 inf + 1 33.485 * * [simplify]: Extracting #3: cost 7 inf + 1 33.485 * * [simplify]: Extracting #4: cost 0 inf + 608 33.485 * [simplify]: Simplified to (- (log (sqrt k))) 33.485 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 33.485 * * * * [progress]: [ 48 / 189 ] simplifiying candidate # 33.485 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 33.485 * * [simplify]: iters left: 4 (6 enodes) 33.487 * * [simplify]: iters left: 3 (22 enodes) 33.493 * * [simplify]: Extracting #0: cost 1 inf + 0 33.494 * * [simplify]: Extracting #1: cost 4 inf + 0 33.494 * * [simplify]: Extracting #2: cost 5 inf + 1 33.494 * * [simplify]: Extracting #3: cost 7 inf + 1 33.494 * * [simplify]: Extracting #4: cost 6 inf + 2 33.494 * * [simplify]: Extracting #5: cost 1 inf + 457 33.494 * * [simplify]: Extracting #6: cost 0 inf + 608 33.494 * [simplify]: Simplified to (- (log (sqrt k))) 33.494 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 33.494 * * * * [progress]: [ 49 / 189 ] simplifiying candidate # 33.494 * * * * [progress]: [ 50 / 189 ] simplifiying candidate # 33.495 * * * * [progress]: [ 51 / 189 ] simplifiying candidate # 33.495 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 33.495 * * [simplify]: iters left: 6 (8 enodes) 33.499 * * [simplify]: iters left: 5 (26 enodes) 33.503 * * [simplify]: iters left: 4 (43 enodes) 33.511 * * [simplify]: iters left: 3 (59 enodes) 33.520 * * [simplify]: iters left: 2 (67 enodes) 33.529 * * [simplify]: iters left: 1 (69 enodes) 33.545 * * [simplify]: Extracting #0: cost 1 inf + 0 33.545 * * [simplify]: Extracting #1: cost 14 inf + 0 33.545 * * [simplify]: Extracting #2: cost 18 inf + 2 33.545 * * [simplify]: Extracting #3: cost 7 inf + 701 33.546 * * [simplify]: Extracting #4: cost 0 inf + 1234 33.547 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 33.547 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 33.547 * * * * [progress]: [ 52 / 189 ] simplifiying candidate # 33.547 * * * * [progress]: [ 53 / 189 ] simplifiying candidate # 33.547 * * * * [progress]: [ 54 / 189 ] simplifiying candidate # 33.547 * * * * [progress]: [ 55 / 189 ] simplifiying candidate # 33.547 * * * * [progress]: [ 56 / 189 ] simplifiying candidate # 33.547 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.547 * * [simplify]: iters left: 6 (8 enodes) 33.550 * * [simplify]: iters left: 5 (32 enodes) 33.556 * * [simplify]: iters left: 4 (48 enodes) 33.567 * * [simplify]: iters left: 3 (76 enodes) 33.584 * * [simplify]: iters left: 2 (81 enodes) 33.591 * * [simplify]: Extracting #0: cost 1 inf + 0 33.591 * * [simplify]: Extracting #1: cost 6 inf + 0 33.591 * * [simplify]: Extracting #2: cost 9 inf + 1 33.591 * * [simplify]: Extracting #3: cost 11 inf + 1 33.591 * * [simplify]: Extracting #4: cost 2 inf + 1052 33.591 * * [simplify]: Extracting #5: cost 0 inf + 1376 33.592 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.592 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))))) 33.592 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 33.592 * * [simplify]: iters left: 4 (6 enodes) 33.594 * * [simplify]: iters left: 3 (20 enodes) 33.597 * * [simplify]: iters left: 2 (22 enodes) 33.601 * * [simplify]: Extracting #0: cost 1 inf + 0 33.601 * * [simplify]: Extracting #1: cost 4 inf + 0 33.601 * * [simplify]: Extracting #2: cost 5 inf + 1 33.601 * * [simplify]: Extracting #3: cost 7 inf + 1 33.601 * * [simplify]: Extracting #4: cost 1 inf + 488 33.601 * * [simplify]: Extracting #5: cost 0 inf + 650 33.601 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.601 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.601 * * * * [progress]: [ 57 / 189 ] simplifiying candidate # 33.602 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 33.602 * * [simplify]: iters left: 6 (8 enodes) 33.605 * * [simplify]: iters left: 5 (29 enodes) 33.611 * * [simplify]: iters left: 4 (31 enodes) 33.615 * * [simplify]: iters left: 3 (32 enodes) 33.621 * * [simplify]: iters left: 2 (33 enodes) 33.626 * * [simplify]: Extracting #0: cost 1 inf + 0 33.626 * * [simplify]: Extracting #1: cost 4 inf + 0 33.626 * * [simplify]: Extracting #2: cost 6 inf + 1 33.626 * * [simplify]: Extracting #3: cost 9 inf + 1 33.626 * * [simplify]: Extracting #4: cost 8 inf + 2 33.626 * * [simplify]: Extracting #5: cost 2 inf + 729 33.626 * * [simplify]: Extracting #6: cost 0 inf + 972 33.626 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.626 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))))) 33.626 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 33.627 * * [simplify]: iters left: 4 (6 enodes) 33.630 * * [simplify]: iters left: 3 (20 enodes) 33.636 * * [simplify]: iters left: 2 (22 enodes) 33.643 * * [simplify]: Extracting #0: cost 1 inf + 0 33.643 * * [simplify]: Extracting #1: cost 4 inf + 0 33.643 * * [simplify]: Extracting #2: cost 5 inf + 1 33.643 * * [simplify]: Extracting #3: cost 7 inf + 1 33.643 * * [simplify]: Extracting #4: cost 1 inf + 568 33.643 * * [simplify]: Extracting #5: cost 0 inf + 730 33.643 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.643 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.643 * * * * [progress]: [ 58 / 189 ] simplifiying candidate # 33.644 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.644 * * [simplify]: iters left: 5 (7 enodes) 33.649 * * [simplify]: iters left: 4 (25 enodes) 33.658 * * [simplify]: iters left: 3 (27 enodes) 33.665 * * [simplify]: iters left: 2 (28 enodes) 33.672 * * [simplify]: iters left: 1 (29 enodes) 33.684 * * [simplify]: Extracting #0: cost 1 inf + 0 33.684 * * [simplify]: Extracting #1: cost 4 inf + 0 33.684 * * [simplify]: Extracting #2: cost 5 inf + 1 33.684 * * [simplify]: Extracting #3: cost 7 inf + 1 33.684 * * [simplify]: Extracting #4: cost 6 inf + 2 33.684 * * [simplify]: Extracting #5: cost 2 inf + 368 33.685 * * [simplify]: Extracting #6: cost 0 inf + 490 33.685 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.685 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 33.685 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.685 * * [simplify]: iters left: 4 (6 enodes) 33.689 * * [simplify]: iters left: 3 (20 enodes) 33.696 * * [simplify]: iters left: 2 (22 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 7 inf + 1 33.702 * * [simplify]: Extracting #4: cost 1 inf + 368 33.702 * * [simplify]: Extracting #5: cost 0 inf + 490 33.703 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.703 * * * * [progress]: [ 59 / 189 ] simplifiying candidate # 33.703 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 33.703 * * [simplify]: iters left: 5 (5 enodes) 33.713 * * [simplify]: iters left: 4 (19 enodes) 33.719 * * [simplify]: iters left: 3 (21 enodes) 33.723 * * [simplify]: Extracting #0: cost 1 inf + 0 33.723 * * [simplify]: Extracting #1: cost 0 inf + 1 33.723 * [simplify]: Simplified to 1 33.723 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 33.724 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.724 * * [simplify]: iters left: 3 (5 enodes) 33.728 * * [simplify]: iters left: 2 (17 enodes) 33.733 * * [simplify]: iters left: 1 (19 enodes) 33.738 * * [simplify]: Extracting #0: cost 1 inf + 0 33.738 * * [simplify]: Extracting #1: cost 4 inf + 0 33.738 * * [simplify]: Extracting #2: cost 5 inf + 1 33.739 * * [simplify]: Extracting #3: cost 0 inf + 248 33.739 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.739 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.739 * * * * [progress]: [ 60 / 189 ] simplifiying candidate # 33.739 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 33.739 * * [simplify]: iters left: 5 (7 enodes) 33.742 * * [simplify]: iters left: 4 (25 enodes) 33.746 * * [simplify]: iters left: 3 (27 enodes) 33.750 * * [simplify]: iters left: 2 (28 enodes) 33.754 * * [simplify]: iters left: 1 (29 enodes) 33.759 * * [simplify]: Extracting #0: cost 1 inf + 0 33.759 * * [simplify]: Extracting #1: cost 4 inf + 0 33.759 * * [simplify]: Extracting #2: cost 5 inf + 1 33.759 * * [simplify]: Extracting #3: cost 7 inf + 1 33.759 * * [simplify]: Extracting #4: cost 6 inf + 2 33.759 * * [simplify]: Extracting #5: cost 2 inf + 368 33.759 * * [simplify]: Extracting #6: cost 0 inf + 490 33.759 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.759 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))))) 33.760 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 33.760 * * [simplify]: iters left: 4 (6 enodes) 33.762 * * [simplify]: iters left: 3 (20 enodes) 33.765 * * [simplify]: iters left: 2 (22 enodes) 33.768 * * [simplify]: Extracting #0: cost 1 inf + 0 33.768 * * [simplify]: Extracting #1: cost 4 inf + 0 33.768 * * [simplify]: Extracting #2: cost 5 inf + 1 33.768 * * [simplify]: Extracting #3: cost 7 inf + 1 33.769 * * [simplify]: Extracting #4: cost 1 inf + 368 33.769 * * [simplify]: Extracting #5: cost 0 inf + 490 33.769 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.769 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.769 * * * * [progress]: [ 61 / 189 ] simplifiying candidate # 33.769 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 33.769 * * [simplify]: iters left: 5 (4 enodes) 33.773 * * [simplify]: iters left: 4 (14 enodes) 33.775 * * [simplify]: iters left: 3 (16 enodes) 33.777 * * [simplify]: Extracting #0: cost 1 inf + 0 33.777 * * [simplify]: Extracting #1: cost 0 inf + 1 33.777 * [simplify]: Simplified to 1 33.777 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 33.778 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 33.778 * * [simplify]: iters left: 3 (5 enodes) 33.780 * * [simplify]: iters left: 2 (17 enodes) 33.783 * * [simplify]: iters left: 1 (19 enodes) 33.786 * * [simplify]: Extracting #0: cost 1 inf + 0 33.786 * * [simplify]: Extracting #1: cost 4 inf + 0 33.786 * * [simplify]: Extracting #2: cost 5 inf + 1 33.786 * * [simplify]: Extracting #3: cost 0 inf + 248 33.786 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.786 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.786 * * * * [progress]: [ 62 / 189 ] simplifiying candidate # 33.786 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.786 * * [simplify]: iters left: 6 (7 enodes) 33.789 * * [simplify]: iters left: 5 (25 enodes) 33.793 * * [simplify]: iters left: 4 (32 enodes) 33.801 * * [simplify]: iters left: 3 (34 enodes) 33.807 * * [simplify]: Extracting #0: cost 1 inf + 0 33.807 * * [simplify]: Extracting #1: cost 7 inf + 0 33.807 * * [simplify]: Extracting #2: cost 11 inf + 1 33.807 * * [simplify]: Extracting #3: cost 13 inf + 1 33.807 * * [simplify]: Extracting #4: cost 10 inf + 84 33.807 * * [simplify]: Extracting #5: cost 4 inf + 1014 33.808 * * [simplify]: Extracting #6: cost 1 inf + 1498 33.808 * * [simplify]: Extracting #7: cost 0 inf + 1700 33.808 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 33.808 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))))) 33.808 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 33.809 * * [simplify]: iters left: 4 (6 enodes) 33.811 * * [simplify]: iters left: 3 (20 enodes) 33.814 * * [simplify]: iters left: 2 (22 enodes) 33.818 * * [simplify]: Extracting #0: cost 1 inf + 0 33.818 * * [simplify]: Extracting #1: cost 4 inf + 0 33.818 * * [simplify]: Extracting #2: cost 5 inf + 1 33.818 * * [simplify]: Extracting #3: cost 7 inf + 1 33.818 * * [simplify]: Extracting #4: cost 1 inf + 488 33.818 * * [simplify]: Extracting #5: cost 0 inf + 650 33.818 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.818 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.818 * * * * [progress]: [ 63 / 189 ] simplifiying candidate # 33.818 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 33.818 * * [simplify]: iters left: 6 (7 enodes) 33.821 * * [simplify]: iters left: 5 (24 enodes) 33.824 * * [simplify]: iters left: 4 (26 enodes) 33.829 * * [simplify]: Extracting #0: cost 1 inf + 0 33.829 * * [simplify]: Extracting #1: cost 4 inf + 0 33.829 * * [simplify]: Extracting #2: cost 6 inf + 1 33.829 * * [simplify]: Extracting #3: cost 9 inf + 1 33.829 * * [simplify]: Extracting #4: cost 8 inf + 2 33.829 * * [simplify]: Extracting #5: cost 2 inf + 730 33.829 * * [simplify]: Extracting #6: cost 0 inf + 972 33.829 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.829 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))))) 33.830 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 33.830 * * [simplify]: iters left: 4 (6 enodes) 33.832 * * [simplify]: iters left: 3 (20 enodes) 33.835 * * [simplify]: iters left: 2 (22 enodes) 33.838 * * [simplify]: Extracting #0: cost 1 inf + 0 33.838 * * [simplify]: Extracting #1: cost 4 inf + 0 33.838 * * [simplify]: Extracting #2: cost 5 inf + 1 33.838 * * [simplify]: Extracting #3: cost 7 inf + 1 33.838 * * [simplify]: Extracting #4: cost 1 inf + 568 33.838 * * [simplify]: Extracting #5: cost 0 inf + 730 33.838 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.838 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.838 * * * * [progress]: [ 64 / 189 ] simplifiying candidate # 33.839 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.839 * * [simplify]: iters left: 4 (6 enodes) 33.841 * * [simplify]: iters left: 3 (20 enodes) 33.844 * * [simplify]: iters left: 2 (22 enodes) 33.847 * * [simplify]: Extracting #0: cost 1 inf + 0 33.847 * * [simplify]: Extracting #1: cost 4 inf + 0 33.847 * * [simplify]: Extracting #2: cost 5 inf + 1 33.847 * * [simplify]: Extracting #3: cost 7 inf + 1 33.847 * * [simplify]: Extracting #4: cost 1 inf + 368 33.847 * * [simplify]: Extracting #5: cost 0 inf + 490 33.847 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.847 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 33.848 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.848 * * [simplify]: iters left: 4 (6 enodes) 33.850 * * [simplify]: iters left: 3 (20 enodes) 33.853 * * [simplify]: iters left: 2 (22 enodes) 33.856 * * [simplify]: Extracting #0: cost 1 inf + 0 33.856 * * [simplify]: Extracting #1: cost 4 inf + 0 33.856 * * [simplify]: Extracting #2: cost 5 inf + 1 33.856 * * [simplify]: Extracting #3: cost 7 inf + 1 33.856 * * [simplify]: Extracting #4: cost 1 inf + 368 33.857 * * [simplify]: Extracting #5: cost 0 inf + 490 33.857 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.857 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.857 * * * * [progress]: [ 65 / 189 ] simplifiying candidate # 33.857 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 33.857 * * [simplify]: iters left: 3 (3 enodes) 33.859 * * [simplify]: iters left: 2 (9 enodes) 33.860 * * [simplify]: iters left: 1 (11 enodes) 33.862 * * [simplify]: Extracting #0: cost 1 inf + 0 33.862 * * [simplify]: Extracting #1: cost 0 inf + 1 33.862 * [simplify]: Simplified to 1 33.862 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 33.862 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.862 * * [simplify]: iters left: 3 (5 enodes) 33.865 * * [simplify]: iters left: 2 (17 enodes) 33.867 * * [simplify]: iters left: 1 (19 enodes) 33.870 * * [simplify]: Extracting #0: cost 1 inf + 0 33.870 * * [simplify]: Extracting #1: cost 4 inf + 0 33.870 * * [simplify]: Extracting #2: cost 5 inf + 1 33.870 * * [simplify]: Extracting #3: cost 0 inf + 248 33.870 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.871 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.871 * * * * [progress]: [ 66 / 189 ] simplifiying candidate # 33.871 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.871 * * [simplify]: iters left: 4 (6 enodes) 33.873 * * [simplify]: iters left: 3 (20 enodes) 33.876 * * [simplify]: iters left: 2 (22 enodes) 33.880 * * [simplify]: Extracting #0: cost 1 inf + 0 33.880 * * [simplify]: Extracting #1: cost 4 inf + 0 33.880 * * [simplify]: Extracting #2: cost 5 inf + 1 33.880 * * [simplify]: Extracting #3: cost 7 inf + 1 33.880 * * [simplify]: Extracting #4: cost 1 inf + 368 33.880 * * [simplify]: Extracting #5: cost 0 inf + 490 33.880 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.880 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))))) 33.880 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 33.880 * * [simplify]: iters left: 4 (6 enodes) 33.882 * * [simplify]: iters left: 3 (20 enodes) 33.886 * * [simplify]: iters left: 2 (22 enodes) 33.891 * * [simplify]: Extracting #0: cost 1 inf + 0 33.891 * * [simplify]: Extracting #1: cost 4 inf + 0 33.891 * * [simplify]: Extracting #2: cost 5 inf + 1 33.892 * * [simplify]: Extracting #3: cost 7 inf + 1 33.892 * * [simplify]: Extracting #4: cost 1 inf + 368 33.892 * * [simplify]: Extracting #5: cost 0 inf + 490 33.892 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.892 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.892 * * * * [progress]: [ 67 / 189 ] simplifiying candidate # 33.892 * [simplify]: Simplifying (/ (sqrt 1) 1) 33.892 * * [simplify]: iters left: 3 (3 enodes) 33.894 * * [simplify]: iters left: 2 (9 enodes) 33.896 * * [simplify]: iters left: 1 (11 enodes) 33.897 * * [simplify]: Extracting #0: cost 1 inf + 0 33.897 * * [simplify]: Extracting #1: cost 0 inf + 1 33.897 * [simplify]: Simplified to 1 33.897 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 33.898 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 33.898 * * [simplify]: iters left: 3 (5 enodes) 33.900 * * [simplify]: iters left: 2 (17 enodes) 33.903 * * [simplify]: iters left: 1 (19 enodes) 33.906 * * [simplify]: Extracting #0: cost 1 inf + 0 33.906 * * [simplify]: Extracting #1: cost 4 inf + 0 33.906 * * [simplify]: Extracting #2: cost 5 inf + 1 33.906 * * [simplify]: Extracting #3: cost 0 inf + 248 33.906 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.906 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.906 * * * * [progress]: [ 68 / 189 ] simplifiying candidate # 33.906 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.906 * * [simplify]: iters left: 6 (6 enodes) 33.908 * * [simplify]: iters left: 5 (22 enodes) 33.912 * * [simplify]: iters left: 4 (26 enodes) 33.916 * * [simplify]: Extracting #0: cost 1 inf + 0 33.916 * * [simplify]: Extracting #1: cost 6 inf + 0 33.916 * * [simplify]: Extracting #2: cost 9 inf + 1 33.916 * * [simplify]: Extracting #3: cost 11 inf + 1 33.916 * * [simplify]: Extracting #4: cost 8 inf + 84 33.917 * * [simplify]: Extracting #5: cost 2 inf + 1013 33.917 * * [simplify]: Extracting #6: cost 0 inf + 1376 33.917 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.917 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.917 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 33.917 * * [simplify]: iters left: 4 (5 enodes) 33.919 * * [simplify]: iters left: 3 (17 enodes) 33.922 * * [simplify]: iters left: 2 (19 enodes) 33.925 * * [simplify]: Extracting #0: cost 1 inf + 0 33.925 * * [simplify]: Extracting #1: cost 4 inf + 0 33.925 * * [simplify]: Extracting #2: cost 5 inf + 1 33.925 * * [simplify]: Extracting #3: cost 7 inf + 1 33.925 * * [simplify]: Extracting #4: cost 0 inf + 650 33.925 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 33.925 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))))) 33.925 * * * * [progress]: [ 69 / 189 ] simplifiying candidate # 33.925 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 33.925 * * [simplify]: iters left: 6 (6 enodes) 33.927 * * [simplify]: iters left: 5 (21 enodes) 33.931 * * [simplify]: iters left: 4 (23 enodes) 33.937 * * [simplify]: Extracting #0: cost 1 inf + 0 33.937 * * [simplify]: Extracting #1: cost 4 inf + 0 33.937 * * [simplify]: Extracting #2: cost 6 inf + 1 33.937 * * [simplify]: Extracting #3: cost 9 inf + 1 33.937 * * [simplify]: Extracting #4: cost 8 inf + 2 33.938 * * [simplify]: Extracting #5: cost 1 inf + 810 33.938 * * [simplify]: Extracting #6: cost 0 inf + 972 33.938 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 33.938 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.939 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 33.939 * * [simplify]: iters left: 4 (5 enodes) 33.941 * * [simplify]: iters left: 3 (17 enodes) 33.947 * * [simplify]: iters left: 2 (19 enodes) 33.952 * * [simplify]: Extracting #0: cost 1 inf + 0 33.952 * * [simplify]: Extracting #1: cost 4 inf + 0 33.952 * * [simplify]: Extracting #2: cost 5 inf + 1 33.952 * * [simplify]: Extracting #3: cost 7 inf + 1 33.953 * * [simplify]: Extracting #4: cost 0 inf + 730 33.953 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 33.953 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 33.953 * * * * [progress]: [ 70 / 189 ] simplifiying candidate # 33.953 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.953 * * [simplify]: iters left: 4 (5 enodes) 33.956 * * [simplify]: iters left: 3 (17 enodes) 33.961 * * [simplify]: iters left: 2 (19 enodes) 33.965 * * [simplify]: Extracting #0: cost 1 inf + 0 33.965 * * [simplify]: Extracting #1: cost 4 inf + 0 33.965 * * [simplify]: Extracting #2: cost 5 inf + 1 33.965 * * [simplify]: Extracting #3: cost 7 inf + 1 33.965 * * [simplify]: Extracting #4: cost 0 inf + 490 33.965 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.965 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.965 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.965 * * [simplify]: iters left: 4 (5 enodes) 33.967 * * [simplify]: iters left: 3 (17 enodes) 33.970 * * [simplify]: iters left: 2 (19 enodes) 33.973 * * [simplify]: Extracting #0: cost 1 inf + 0 33.973 * * [simplify]: Extracting #1: cost 4 inf + 0 33.973 * * [simplify]: Extracting #2: cost 5 inf + 1 33.973 * * [simplify]: Extracting #3: cost 7 inf + 1 33.973 * * [simplify]: Extracting #4: cost 0 inf + 490 33.973 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.973 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.973 * * * * [progress]: [ 71 / 189 ] simplifiying candidate # 33.973 * [simplify]: Simplifying (/ 1 (sqrt 1)) 33.974 * * [simplify]: iters left: 3 (3 enodes) 33.977 * * [simplify]: iters left: 2 (11 enodes) 33.979 * * [simplify]: iters left: 1 (13 enodes) 33.981 * * [simplify]: Extracting #0: cost 1 inf + 0 33.981 * * [simplify]: Extracting #1: cost 0 inf + 1 33.981 * [simplify]: Simplified to 1 33.981 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.981 * [simplify]: Simplifying (/ 1 (sqrt k)) 33.982 * * [simplify]: iters left: 3 (4 enodes) 33.983 * * [simplify]: iters left: 2 (14 enodes) 33.985 * * [simplify]: iters left: 1 (16 enodes) 33.988 * * [simplify]: Extracting #0: cost 1 inf + 0 33.988 * * [simplify]: Extracting #1: cost 4 inf + 0 33.988 * * [simplify]: Extracting #2: cost 5 inf + 1 33.988 * * [simplify]: Extracting #3: cost 3 inf + 43 33.988 * * [simplify]: Extracting #4: cost 1 inf + 166 33.988 * * [simplify]: Extracting #5: cost 0 inf + 248 33.988 * [simplify]: Simplified to (/ 1 (sqrt k)) 33.988 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 33.988 * * * * [progress]: [ 72 / 189 ] simplifiying candidate # 33.988 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.989 * * [simplify]: iters left: 4 (5 enodes) 33.990 * * [simplify]: iters left: 3 (17 enodes) 33.993 * * [simplify]: iters left: 2 (19 enodes) 33.999 * * [simplify]: Extracting #0: cost 1 inf + 0 33.999 * * [simplify]: Extracting #1: cost 4 inf + 0 33.999 * * [simplify]: Extracting #2: cost 5 inf + 1 33.999 * * [simplify]: Extracting #3: cost 7 inf + 1 33.999 * * [simplify]: Extracting #4: cost 0 inf + 490 33.999 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 33.999 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 33.999 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 33.999 * * [simplify]: iters left: 4 (5 enodes) 34.001 * * [simplify]: iters left: 3 (17 enodes) 34.004 * * [simplify]: iters left: 2 (19 enodes) 34.007 * * [simplify]: Extracting #0: cost 1 inf + 0 34.007 * * [simplify]: Extracting #1: cost 4 inf + 0 34.007 * * [simplify]: Extracting #2: cost 5 inf + 1 34.007 * * [simplify]: Extracting #3: cost 7 inf + 1 34.007 * * [simplify]: Extracting #4: cost 0 inf + 490 34.007 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 34.007 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 34.008 * * * * [progress]: [ 73 / 189 ] simplifiying candidate # 34.008 * [simplify]: Simplifying (/ 1 1) 34.008 * * [simplify]: iters left: 2 (2 enodes) 34.009 * * [simplify]: iters left: 1 (6 enodes) 34.010 * * [simplify]: Extracting #0: cost 1 inf + 0 34.010 * * [simplify]: Extracting #1: cost 0 inf + 1 34.010 * [simplify]: Simplified to 1 34.010 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 34.010 * [simplify]: Simplifying (/ 1 (sqrt k)) 34.010 * * [simplify]: iters left: 3 (4 enodes) 34.011 * * [simplify]: iters left: 2 (14 enodes) 34.014 * * [simplify]: iters left: 1 (16 enodes) 34.016 * * [simplify]: Extracting #0: cost 1 inf + 0 34.017 * * [simplify]: Extracting #1: cost 4 inf + 0 34.017 * * [simplify]: Extracting #2: cost 5 inf + 1 34.017 * * [simplify]: Extracting #3: cost 3 inf + 43 34.017 * * [simplify]: Extracting #4: cost 1 inf + 166 34.017 * * [simplify]: Extracting #5: cost 0 inf + 248 34.017 * [simplify]: Simplified to (/ 1 (sqrt k)) 34.017 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 34.017 * * * * [progress]: [ 74 / 189 ] simplifiying candidate # 34.017 * * * * [progress]: [ 75 / 189 ] simplifiying candidate # 34.017 * * * * [progress]: [ 76 / 189 ] simplifiying candidate # 34.017 * * * * [progress]: [ 77 / 189 ] simplifiying candidate # 34.017 * [simplify]: Simplifying (cbrt (sqrt k)) 34.017 * * [simplify]: iters left: 2 (3 enodes) 34.018 * * [simplify]: iters left: 1 (9 enodes) 34.020 * * [simplify]: Extracting #0: cost 1 inf + 0 34.020 * * [simplify]: Extracting #1: cost 3 inf + 0 34.020 * * [simplify]: Extracting #2: cost 5 inf + 0 34.020 * * [simplify]: Extracting #3: cost 4 inf + 1 34.020 * * [simplify]: Extracting #4: cost 0 inf + 325 34.020 * [simplify]: Simplified to (cbrt (sqrt k)) 34.020 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 34.020 * * * * [progress]: [ 78 / 189 ] simplifiying candidate # 34.020 * [simplify]: Simplifying (sqrt (cbrt k)) 34.020 * * [simplify]: iters left: 2 (3 enodes) 34.021 * * [simplify]: iters left: 1 (9 enodes) 34.022 * * [simplify]: Extracting #0: cost 1 inf + 0 34.022 * * [simplify]: Extracting #1: cost 3 inf + 0 34.022 * * [simplify]: Extracting #2: cost 5 inf + 0 34.022 * * [simplify]: Extracting #3: cost 4 inf + 1 34.022 * * [simplify]: Extracting #4: cost 0 inf + 405 34.022 * [simplify]: Simplified to (sqrt (cbrt k)) 34.022 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 34.022 * * * * [progress]: [ 79 / 189 ] simplifiying candidate # 34.023 * [simplify]: Simplifying (sqrt (sqrt k)) 34.023 * * [simplify]: iters left: 2 (3 enodes) 34.023 * * [simplify]: iters left: 1 (9 enodes) 34.024 * * [simplify]: Extracting #0: cost 1 inf + 0 34.024 * * [simplify]: Extracting #1: cost 3 inf + 0 34.024 * * [simplify]: Extracting #2: cost 5 inf + 0 34.024 * * [simplify]: Extracting #3: cost 4 inf + 1 34.025 * * [simplify]: Extracting #4: cost 0 inf + 245 34.025 * [simplify]: Simplified to (sqrt (sqrt k)) 34.025 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 34.025 * * * * [progress]: [ 80 / 189 ] simplifiying candidate # 34.025 * [simplify]: Simplifying (sqrt k) 34.025 * * [simplify]: iters left: 1 (2 enodes) 34.025 * * [simplify]: Extracting #0: cost 1 inf + 0 34.025 * * [simplify]: Extracting #1: cost 3 inf + 0 34.025 * * [simplify]: Extracting #2: cost 2 inf + 1 34.025 * * [simplify]: Extracting #3: cost 0 inf + 83 34.025 * [simplify]: Simplified to (sqrt k) 34.025 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 34.026 * * * * [progress]: [ 81 / 189 ] simplifiying candidate # 34.026 * [simplify]: Simplifying (sqrt (sqrt k)) 34.026 * * [simplify]: iters left: 2 (3 enodes) 34.026 * * [simplify]: iters left: 1 (9 enodes) 34.028 * * [simplify]: Extracting #0: cost 1 inf + 0 34.028 * * [simplify]: Extracting #1: cost 3 inf + 0 34.029 * * [simplify]: Extracting #2: cost 5 inf + 0 34.029 * * [simplify]: Extracting #3: cost 4 inf + 1 34.029 * * [simplify]: Extracting #4: cost 0 inf + 245 34.029 * [simplify]: Simplified to (sqrt (sqrt k)) 34.029 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 34.029 * * * * [progress]: [ 82 / 189 ] simplifiying candidate # 34.029 * [simplify]: Simplifying (sqrt k) 34.029 * * [simplify]: iters left: 1 (2 enodes) 34.030 * * [simplify]: Extracting #0: cost 1 inf + 0 34.030 * * [simplify]: Extracting #1: cost 3 inf + 0 34.030 * * [simplify]: Extracting #2: cost 2 inf + 1 34.030 * * [simplify]: Extracting #3: cost 0 inf + 83 34.030 * [simplify]: Simplified to (sqrt k) 34.030 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 34.031 * * * * [progress]: [ 83 / 189 ] simplifiying candidate # 34.031 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 34.031 * * [simplify]: iters left: 3 (3 enodes) 34.037 * * [simplify]: iters left: 2 (11 enodes) 34.040 * * [simplify]: iters left: 1 (13 enodes) 34.044 * * [simplify]: Extracting #0: cost 1 inf + 0 34.044 * * [simplify]: Extracting #1: cost 0 inf + 1 34.044 * [simplify]: Simplified to 1 34.044 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 34.044 * * * * [progress]: [ 84 / 189 ] simplifiying candidate # 34.044 * [simplify]: Simplifying (sqrt 1) 34.044 * * [simplify]: iters left: 1 (2 enodes) 34.047 * * [simplify]: Extracting #0: cost 1 inf + 0 34.047 * * [simplify]: Extracting #1: cost 0 inf + 1 34.048 * [simplify]: Simplified to 1 34.048 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 34.048 * * * * [progress]: [ 85 / 189 ] simplifiying candidate # 34.048 * * * * [progress]: [ 86 / 189 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 34.048 * * * * [progress]: [ 87 / 189 ] simplifiying candidate # 34.048 * [simplify]: Simplifying (* n (* 2 PI)) 34.048 * * [simplify]: iters left: 4 (5 enodes) 34.051 * * [simplify]: iters left: 3 (19 enodes) 34.057 * * [simplify]: iters left: 2 (27 enodes) 34.065 * * [simplify]: iters left: 1 (32 enodes) 34.074 * * [simplify]: Extracting #0: cost 1 inf + 0 34.074 * * [simplify]: Extracting #1: cost 8 inf + 0 34.074 * * [simplify]: Extracting #2: cost 7 inf + 45 34.074 * * [simplify]: Extracting #3: cost 0 inf + 421 34.074 * [simplify]: Simplified to (* (* PI 2) n) 34.074 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.075 * * * * [progress]: [ 88 / 189 ] simplifiying candidate # 34.075 * [simplify]: Simplifying (* n (* 2 PI)) 34.075 * * [simplify]: iters left: 4 (5 enodes) 34.076 * * [simplify]: iters left: 3 (19 enodes) 34.080 * * [simplify]: iters left: 2 (27 enodes) 34.084 * * [simplify]: iters left: 1 (32 enodes) 34.088 * * [simplify]: Extracting #0: cost 1 inf + 0 34.088 * * [simplify]: Extracting #1: cost 8 inf + 0 34.088 * * [simplify]: Extracting #2: cost 7 inf + 45 34.089 * * [simplify]: Extracting #3: cost 0 inf + 421 34.089 * [simplify]: Simplified to (* (* PI 2) n) 34.089 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.089 * * * * [progress]: [ 89 / 189 ] simplifiying candidate # 34.089 * * * * [progress]: [ 90 / 189 ] simplifiying candidate # 34.089 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 34.089 * * [simplify]: iters left: 5 (8 enodes) 34.092 * * [simplify]: iters left: 4 (28 enodes) 34.098 * * [simplify]: iters left: 3 (36 enodes) 34.109 * * [simplify]: iters left: 2 (42 enodes) 34.123 * * [simplify]: Extracting #0: cost 1 inf + 0 34.123 * * [simplify]: Extracting #1: cost 8 inf + 0 34.123 * * [simplify]: Extracting #2: cost 17 inf + 0 34.123 * * [simplify]: Extracting #3: cost 12 inf + 145 34.124 * * [simplify]: Extracting #4: cost 5 inf + 1197 34.124 * * [simplify]: Extracting #5: cost 1 inf + 1925 34.125 * * [simplify]: Extracting #6: cost 0 inf + 2107 34.125 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 34.125 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.126 * * * * [progress]: [ 91 / 189 ] simplifiying candidate # 34.126 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 34.126 * * [simplify]: iters left: 5 (7 enodes) 34.130 * * [simplify]: iters left: 4 (26 enodes) 34.139 * * [simplify]: iters left: 3 (35 enodes) 34.150 * * [simplify]: iters left: 2 (44 enodes) 34.161 * * [simplify]: Extracting #0: cost 1 inf + 0 34.162 * * [simplify]: Extracting #1: cost 8 inf + 0 34.162 * * [simplify]: Extracting #2: cost 18 inf + 0 34.162 * * [simplify]: Extracting #3: cost 15 inf + 74 34.162 * * [simplify]: Extracting #4: cost 8 inf + 554 34.162 * * [simplify]: Extracting #5: cost 0 inf + 1911 34.163 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 34.163 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.163 * * * * [progress]: [ 92 / 189 ] simplifiying candidate # 34.163 * * * * [progress]: [ 93 / 189 ] simplifiying candidate # 34.163 * * * * [progress]: [ 94 / 189 ] simplifiying candidate # 34.164 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 34.164 * * [simplify]: iters left: 6 (11 enodes) 34.172 * * [simplify]: iters left: 5 (48 enodes) 34.187 * * [simplify]: iters left: 4 (121 enodes) 34.218 * * [simplify]: iters left: 3 (348 enodes) 34.456 * * [simplify]: Extracting #0: cost 1 inf + 0 34.456 * * [simplify]: Extracting #1: cost 67 inf + 0 34.457 * * [simplify]: Extracting #2: cost 165 inf + 786 34.463 * * [simplify]: Extracting #3: cost 81 inf + 10746 34.475 * * [simplify]: Extracting #4: cost 9 inf + 26018 34.488 * * [simplify]: Extracting #5: cost 0 inf + 28546 34.504 * * [simplify]: Extracting #6: cost 0 inf + 28506 34.517 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 34.517 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.517 * * * * [progress]: [ 95 / 189 ] simplifiying candidate # 34.518 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 34.518 * * [simplify]: iters left: 6 (9 enodes) 34.525 * * [simplify]: iters left: 5 (45 enodes) 34.542 * * [simplify]: iters left: 4 (117 enodes) 34.592 * * [simplify]: iters left: 3 (377 enodes) 34.950 * * [simplify]: Extracting #0: cost 1 inf + 0 34.950 * * [simplify]: Extracting #1: cost 79 inf + 0 34.952 * * [simplify]: Extracting #2: cost 191 inf + 659 34.955 * * [simplify]: Extracting #3: cost 100 inf + 13238 34.964 * * [simplify]: Extracting #4: cost 6 inf + 31685 34.973 * * [simplify]: Extracting #5: cost 0 inf + 32539 34.990 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 34.990 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.991 * * * * [progress]: [ 96 / 189 ] simplifiying candidate # 34.991 * * * * [progress]: [ 97 / 189 ] simplifiying candidate # 34.991 * * * * [progress]: [ 98 / 189 ] simplifiying candidate # 34.991 * * * * [progress]: [ 99 / 189 ] simplifiying candidate # 34.991 * * * * [progress]: [ 100 / 189 ] simplifiying candidate # 34.991 * * * * [progress]: [ 101 / 189 ] simplifiying candidate # 34.991 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 34.992 * * [simplify]: iters left: 3 (3 enodes) 34.993 * * [simplify]: iters left: 2 (9 enodes) 34.996 * * [simplify]: Extracting #0: cost 1 inf + 0 34.996 * * [simplify]: Extracting #1: cost 3 inf + 0 34.996 * * [simplify]: Extracting #2: cost 5 inf + 0 34.996 * * [simplify]: Extracting #3: cost 4 inf + 1 34.996 * * [simplify]: Extracting #4: cost 0 inf + 405 34.996 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 34.996 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.996 * * * * [progress]: [ 102 / 189 ] simplifiying candidate # 34.997 * [simplify]: Simplifying (sqrt n) 34.997 * * [simplify]: iters left: 1 (2 enodes) 34.998 * * [simplify]: Extracting #0: cost 1 inf + 0 34.998 * * [simplify]: Extracting #1: cost 3 inf + 0 34.998 * * [simplify]: Extracting #2: cost 2 inf + 1 34.998 * * [simplify]: Extracting #3: cost 0 inf + 83 34.998 * [simplify]: Simplified to (sqrt n) 34.998 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 34.998 * * * * [progress]: [ 103 / 189 ] simplifiying candidate # 34.998 * * * * [progress]: [ 104 / 189 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 34.998 * * * * [progress]: [ 105 / 189 ] simplifiying candidate # 34.998 * * * * [progress]: [ 106 / 189 ] simplifiying candidate # 34.998 * * * * [progress]: [ 107 / 189 ] simplifiying candidate # 34.999 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.999 * * [simplify]: iters left: 6 (17 enodes) 35.008 * * [simplify]: iters left: 5 (68 enodes) 35.031 * * [simplify]: iters left: 4 (111 enodes) 35.069 * * [simplify]: iters left: 3 (296 enodes) 35.148 * * [simplify]: Extracting #0: cost 1 inf + 0 35.148 * * [simplify]: Extracting #1: cost 35 inf + 0 35.149 * * [simplify]: Extracting #2: cost 112 inf + 0 35.149 * * [simplify]: Extracting #3: cost 172 inf + 73 35.150 * * [simplify]: Extracting #4: cost 185 inf + 1839 35.153 * * [simplify]: Extracting #5: cost 96 inf + 22414 35.162 * * [simplify]: Extracting #6: cost 9 inf + 49696 35.171 * * [simplify]: Extracting #7: cost 1 inf + 53019 35.181 * * [simplify]: Extracting #8: cost 0 inf + 53553 35.190 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 35.191 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 35.191 * * * * [progress]: [ 108 / 189 ] simplifiying candidate # 35.191 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.191 * * [simplify]: iters left: 6 (18 enodes) 35.197 * * [simplify]: iters left: 5 (73 enodes) 35.213 * * [simplify]: iters left: 4 (122 enodes) 35.245 * * [simplify]: iters left: 3 (341 enodes) 35.402 * * [simplify]: Extracting #0: cost 1 inf + 0 35.402 * * [simplify]: Extracting #1: cost 25 inf + 0 35.402 * * [simplify]: Extracting #2: cost 146 inf + 1 35.404 * * [simplify]: Extracting #3: cost 215 inf + 74 35.407 * * [simplify]: Extracting #4: cost 197 inf + 8318 35.424 * * [simplify]: Extracting #5: cost 34 inf + 55473 35.448 * * [simplify]: Extracting #6: cost 1 inf + 66659 35.472 * * [simplify]: Extracting #7: cost 0 inf + 67033 35.496 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 35.496 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 35.496 * * * * [progress]: [ 109 / 189 ] simplifiying candidate # 35.496 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.497 * * [simplify]: iters left: 6 (18 enodes) 35.503 * * [simplify]: iters left: 5 (74 enodes) 35.516 * * [simplify]: iters left: 4 (118 enodes) 35.566 * * [simplify]: iters left: 3 (325 enodes) 35.711 * * [simplify]: Extracting #0: cost 1 inf + 0 35.711 * * [simplify]: Extracting #1: cost 49 inf + 0 35.712 * * [simplify]: Extracting #2: cost 135 inf + 1 35.713 * * [simplify]: Extracting #3: cost 195 inf + 74 35.715 * * [simplify]: Extracting #4: cost 195 inf + 4123 35.725 * * [simplify]: Extracting #5: cost 79 inf + 32401 35.750 * * [simplify]: Extracting #6: cost 7 inf + 60282 35.772 * * [simplify]: Extracting #7: cost 0 inf + 63560 35.789 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 35.789 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 35.789 * * * * [progress]: [ 110 / 189 ] simplifiying candidate # 35.789 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.789 * * [simplify]: iters left: 6 (17 enodes) 35.795 * * [simplify]: iters left: 5 (71 enodes) 35.807 * * [simplify]: iters left: 4 (117 enodes) 35.850 * * [simplify]: iters left: 3 (311 enodes) 35.987 * * [simplify]: Extracting #0: cost 1 inf + 0 35.987 * * [simplify]: Extracting #1: cost 35 inf + 0 35.988 * * [simplify]: Extracting #2: cost 135 inf + 1 35.989 * * [simplify]: Extracting #3: cost 196 inf + 74 35.993 * * [simplify]: Extracting #4: cost 173 inf + 10157 36.006 * * [simplify]: Extracting #5: cost 58 inf + 41919 36.025 * * [simplify]: Extracting #6: cost 2 inf + 61069 36.036 * * [simplify]: Extracting #7: cost 0 inf + 61897 36.046 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 36.046 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 36.047 * * * * [progress]: [ 111 / 189 ] simplifiying candidate # 36.047 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 36.047 * * [simplify]: iters left: 6 (16 enodes) 36.053 * * [simplify]: iters left: 5 (66 enodes) 36.072 * * [simplify]: iters left: 4 (104 enodes) 36.095 * * [simplify]: iters left: 3 (240 enodes) 36.191 * * [simplify]: Extracting #0: cost 1 inf + 0 36.191 * * [simplify]: Extracting #1: cost 27 inf + 0 36.192 * * [simplify]: Extracting #2: cost 102 inf + 0 36.193 * * [simplify]: Extracting #3: cost 157 inf + 2 36.194 * * [simplify]: Extracting #4: cost 169 inf + 1391 36.200 * * [simplify]: Extracting #5: cost 81 inf + 19075 36.215 * * [simplify]: Extracting #6: cost 1 inf + 42858 36.230 * * [simplify]: Extracting #7: cost 0 inf + 43010 36.246 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.246 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.246 * * * * [progress]: [ 112 / 189 ] simplifiying candidate # 36.246 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 36.246 * * [simplify]: iters left: 6 (17 enodes) 36.256 * * [simplify]: iters left: 5 (71 enodes) 36.280 * * [simplify]: iters left: 4 (115 enodes) 36.309 * * [simplify]: iters left: 3 (279 enodes) 36.443 * * [simplify]: Extracting #0: cost 1 inf + 0 36.443 * * [simplify]: Extracting #1: cost 23 inf + 0 36.443 * * [simplify]: Extracting #2: cost 133 inf + 1 36.444 * * [simplify]: Extracting #3: cost 194 inf + 3 36.445 * * [simplify]: Extracting #4: cost 177 inf + 6975 36.451 * * [simplify]: Extracting #5: cost 40 inf + 40539 36.462 * * [simplify]: Extracting #6: cost 0 inf + 53826 36.472 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.472 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.472 * * * * [progress]: [ 113 / 189 ] simplifiying candidate # 36.472 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 36.472 * * [simplify]: iters left: 6 (17 enodes) 36.478 * * [simplify]: iters left: 5 (72 enodes) 36.494 * * [simplify]: iters left: 4 (111 enodes) 36.537 * * [simplify]: iters left: 3 (265 enodes) 36.661 * * [simplify]: Extracting #0: cost 1 inf + 0 36.661 * * [simplify]: Extracting #1: cost 37 inf + 0 36.662 * * [simplify]: Extracting #2: cost 120 inf + 1 36.662 * * [simplify]: Extracting #3: cost 175 inf + 3 36.663 * * [simplify]: Extracting #4: cost 183 inf + 2051 36.667 * * [simplify]: Extracting #5: cost 71 inf + 25815 36.675 * * [simplify]: Extracting #6: cost 12 inf + 44868 36.684 * * [simplify]: Extracting #7: cost 0 inf + 49957 36.693 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.693 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.693 * * * * [progress]: [ 114 / 189 ] simplifiying candidate # 36.694 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.694 * * [simplify]: iters left: 6 (16 enodes) 36.707 * * [simplify]: iters left: 5 (69 enodes) 36.730 * * [simplify]: iters left: 4 (110 enodes) 36.770 * * [simplify]: iters left: 3 (251 enodes) 36.859 * * [simplify]: Extracting #0: cost 1 inf + 0 36.859 * * [simplify]: Extracting #1: cost 31 inf + 0 36.860 * * [simplify]: Extracting #2: cost 122 inf + 1 36.861 * * [simplify]: Extracting #3: cost 178 inf + 3 36.863 * * [simplify]: Extracting #4: cost 187 inf + 2283 36.869 * * [simplify]: Extracting #5: cost 83 inf + 24281 36.887 * * [simplify]: Extracting #6: cost 4 inf + 48831 36.905 * * [simplify]: Extracting #7: cost 0 inf + 50650 36.924 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 36.924 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 36.924 * * * * [progress]: [ 115 / 189 ] simplifiying candidate # 36.925 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 36.925 * * [simplify]: iters left: 6 (15 enodes) 36.937 * * [simplify]: iters left: 5 (65 enodes) 36.959 * * [simplify]: iters left: 4 (111 enodes) 36.989 * * [simplify]: iters left: 3 (225 enodes) 37.069 * * [simplify]: Extracting #0: cost 1 inf + 0 37.069 * * [simplify]: Extracting #1: cost 20 inf + 0 37.069 * * [simplify]: Extracting #2: cost 93 inf + 0 37.070 * * [simplify]: Extracting #3: cost 149 inf + 73 37.071 * * [simplify]: Extracting #4: cost 170 inf + 1179 37.075 * * [simplify]: Extracting #5: cost 112 inf + 9371 37.085 * * [simplify]: Extracting #6: cost 21 inf + 29670 37.100 * * [simplify]: Extracting #7: cost 1 inf + 36368 37.114 * * [simplify]: Extracting #8: cost 0 inf + 36752 37.129 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.129 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.129 * * * * [progress]: [ 116 / 189 ] simplifiying candidate # 37.129 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 37.129 * * [simplify]: iters left: 6 (16 enodes) 37.139 * * [simplify]: iters left: 5 (70 enodes) 37.163 * * [simplify]: iters left: 4 (122 enodes) 37.213 * * [simplify]: iters left: 3 (256 enodes) 37.296 * * [simplify]: Extracting #0: cost 1 inf + 0 37.296 * * [simplify]: Extracting #1: cost 21 inf + 0 37.297 * * [simplify]: Extracting #2: cost 117 inf + 1 37.297 * * [simplify]: Extracting #3: cost 177 inf + 3 37.298 * * [simplify]: Extracting #4: cost 187 inf + 2340 37.304 * * [simplify]: Extracting #5: cost 78 inf + 21881 37.320 * * [simplify]: Extracting #6: cost 2 inf + 43918 37.336 * * [simplify]: Extracting #7: cost 0 inf + 44297 37.354 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.354 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.354 * * * * [progress]: [ 117 / 189 ] simplifiying candidate # 37.354 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 37.354 * * [simplify]: iters left: 6 (16 enodes) 37.364 * * [simplify]: iters left: 5 (71 enodes) 37.387 * * [simplify]: iters left: 4 (118 enodes) 37.435 * * [simplify]: iters left: 3 (247 enodes) 37.530 * * [simplify]: Extracting #0: cost 1 inf + 0 37.530 * * [simplify]: Extracting #1: cost 28 inf + 0 37.530 * * [simplify]: Extracting #2: cost 107 inf + 1 37.530 * * [simplify]: Extracting #3: cost 164 inf + 3 37.531 * * [simplify]: Extracting #4: cost 185 inf + 905 37.533 * * [simplify]: Extracting #5: cost 113 inf + 11313 37.539 * * [simplify]: Extracting #6: cost 16 inf + 35838 37.547 * * [simplify]: Extracting #7: cost 0 inf + 42003 37.560 * * [simplify]: Extracting #8: cost 0 inf + 41623 37.570 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.570 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.570 * * * * [progress]: [ 118 / 189 ] simplifiying candidate # 37.570 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 37.570 * * [simplify]: iters left: 6 (15 enodes) 37.575 * * [simplify]: iters left: 5 (68 enodes) 37.587 * * [simplify]: iters left: 4 (117 enodes) 37.613 * * [simplify]: iters left: 3 (236 enodes) 37.686 * * [simplify]: Extracting #0: cost 1 inf + 0 37.686 * * [simplify]: Extracting #1: cost 21 inf + 0 37.686 * * [simplify]: Extracting #2: cost 102 inf + 1 37.686 * * [simplify]: Extracting #3: cost 159 inf + 74 37.687 * * [simplify]: Extracting #4: cost 180 inf + 1092 37.693 * * [simplify]: Extracting #5: cost 85 inf + 17006 37.702 * * [simplify]: Extracting #6: cost 14 inf + 33904 37.718 * * [simplify]: Extracting #7: cost 1 inf + 38938 37.732 * * [simplify]: Extracting #8: cost 0 inf + 39512 37.747 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.747 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.748 * * * * [progress]: [ 119 / 189 ] simplifiying candidate # 37.748 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 37.748 * * [simplify]: iters left: 6 (15 enodes) 37.757 * * [simplify]: iters left: 5 (65 enodes) 37.778 * * [simplify]: iters left: 4 (111 enodes) 37.799 * * [simplify]: iters left: 3 (225 enodes) 37.865 * * [simplify]: Extracting #0: cost 1 inf + 0 37.865 * * [simplify]: Extracting #1: cost 20 inf + 0 37.865 * * [simplify]: Extracting #2: cost 93 inf + 0 37.866 * * [simplify]: Extracting #3: cost 149 inf + 73 37.866 * * [simplify]: Extracting #4: cost 170 inf + 1179 37.868 * * [simplify]: Extracting #5: cost 112 inf + 9371 37.873 * * [simplify]: Extracting #6: cost 21 inf + 29670 37.881 * * [simplify]: Extracting #7: cost 1 inf + 36368 37.895 * * [simplify]: Extracting #8: cost 0 inf + 36752 37.908 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 37.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 37.909 * * * * [progress]: [ 120 / 189 ] simplifiying candidate # 37.909 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 37.909 * * [simplify]: iters left: 6 (16 enodes) 37.919 * * [simplify]: iters left: 5 (70 enodes) 37.943 * * [simplify]: iters left: 4 (122 enodes) 37.988 * * [simplify]: iters left: 3 (256 enodes) 38.115 * * [simplify]: Extracting #0: cost 1 inf + 0 38.116 * * [simplify]: Extracting #1: cost 21 inf + 0 38.116 * * [simplify]: Extracting #2: cost 117 inf + 1 38.117 * * [simplify]: Extracting #3: cost 177 inf + 3 38.119 * * [simplify]: Extracting #4: cost 187 inf + 2340 38.125 * * [simplify]: Extracting #5: cost 78 inf + 21881 38.141 * * [simplify]: Extracting #6: cost 2 inf + 43918 38.164 * * [simplify]: Extracting #7: cost 0 inf + 44297 38.180 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.181 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.181 * * * * [progress]: [ 121 / 189 ] simplifiying candidate # 38.181 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 38.181 * * [simplify]: iters left: 6 (16 enodes) 38.191 * * [simplify]: iters left: 5 (71 enodes) 38.215 * * [simplify]: iters left: 4 (118 enodes) 38.258 * * [simplify]: iters left: 3 (247 enodes) 38.335 * * [simplify]: Extracting #0: cost 1 inf + 0 38.335 * * [simplify]: Extracting #1: cost 28 inf + 0 38.336 * * [simplify]: Extracting #2: cost 107 inf + 1 38.336 * * [simplify]: Extracting #3: cost 164 inf + 3 38.337 * * [simplify]: Extracting #4: cost 185 inf + 905 38.339 * * [simplify]: Extracting #5: cost 113 inf + 11313 38.351 * * [simplify]: Extracting #6: cost 16 inf + 35838 38.367 * * [simplify]: Extracting #7: cost 0 inf + 42003 38.384 * * [simplify]: Extracting #8: cost 0 inf + 41623 38.399 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.399 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.399 * * * * [progress]: [ 122 / 189 ] simplifiying candidate # 38.399 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 38.399 * * [simplify]: iters left: 6 (15 enodes) 38.405 * * [simplify]: iters left: 5 (68 enodes) 38.417 * * [simplify]: iters left: 4 (117 enodes) 38.451 * * [simplify]: iters left: 3 (236 enodes) 38.549 * * [simplify]: Extracting #0: cost 1 inf + 0 38.549 * * [simplify]: Extracting #1: cost 21 inf + 0 38.549 * * [simplify]: Extracting #2: cost 102 inf + 1 38.549 * * [simplify]: Extracting #3: cost 159 inf + 74 38.550 * * [simplify]: Extracting #4: cost 180 inf + 1092 38.553 * * [simplify]: Extracting #5: cost 85 inf + 17006 38.558 * * [simplify]: Extracting #6: cost 14 inf + 33904 38.566 * * [simplify]: Extracting #7: cost 1 inf + 38938 38.574 * * [simplify]: Extracting #8: cost 0 inf + 39512 38.581 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 38.581 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 38.581 * * * * [progress]: [ 123 / 189 ] simplifiying candidate # 38.582 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 38.582 * * [simplify]: iters left: 6 (15 enodes) 38.589 * * [simplify]: iters left: 5 (64 enodes) 38.615 * * [simplify]: iters left: 4 (111 enodes) 38.652 * * [simplify]: iters left: 3 (216 enodes) 38.749 * * [simplify]: Extracting #0: cost 1 inf + 0 38.749 * * [simplify]: Extracting #1: cost 20 inf + 0 38.749 * * [simplify]: Extracting #2: cost 114 inf + 0 38.750 * * [simplify]: Extracting #3: cost 190 inf + 2 38.753 * * [simplify]: Extracting #4: cost 158 inf + 6527 38.762 * * [simplify]: Extracting #5: cost 47 inf + 30354 38.769 * * [simplify]: Extracting #6: cost 3 inf + 42854 38.776 * * [simplify]: Extracting #7: cost 0 inf + 44415 38.784 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 38.784 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 38.784 * * * * [progress]: [ 124 / 189 ] simplifiying candidate # 38.784 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 38.784 * * [simplify]: iters left: 6 (16 enodes) 38.790 * * [simplify]: iters left: 5 (69 enodes) 38.809 * * [simplify]: iters left: 4 (122 enodes) 38.852 * * [simplify]: iters left: 3 (246 enodes) 38.943 * * [simplify]: Extracting #0: cost 1 inf + 0 38.943 * * [simplify]: Extracting #1: cost 23 inf + 0 38.943 * * [simplify]: Extracting #2: cost 141 inf + 1 38.945 * * [simplify]: Extracting #3: cost 218 inf + 3 38.948 * * [simplify]: Extracting #4: cost 188 inf + 7164 38.960 * * [simplify]: Extracting #5: cost 53 inf + 37091 38.981 * * [simplify]: Extracting #6: cost 3 inf + 50940 38.998 * * [simplify]: Extracting #7: cost 0 inf + 52702 39.015 * [simplify]: Simplified to (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))) 39.015 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (log (* (* PI 2) n))) 2) (log (sqrt k))))) 39.015 * * * * [progress]: [ 125 / 189 ] simplifiying candidate # 39.016 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 39.016 * * [simplify]: iters left: 6 (16 enodes) 39.026 * * [simplify]: iters left: 5 (70 enodes) 39.050 * * [simplify]: iters left: 4 (118 enodes) 39.091 * * [simplify]: iters left: 3 (235 enodes) 39.197 * * [simplify]: Extracting #0: cost 1 inf + 0 39.197 * * [simplify]: Extracting #1: cost 26 inf + 0 39.198 * * [simplify]: Extracting #2: cost 127 inf + 1 39.199 * * [simplify]: Extracting #3: cost 203 inf + 3 39.201 * * [simplify]: Extracting #4: cost 173 inf + 6689 39.212 * * [simplify]: Extracting #5: cost 47 inf + 36456 39.227 * * [simplify]: Extracting #6: cost 1 inf + 49014 39.239 * * [simplify]: Extracting #7: cost 0 inf + 49360 39.250 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 39.250 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 39.250 * * * * [progress]: [ 126 / 189 ] simplifiying candidate # 39.250 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 39.250 * * [simplify]: iters left: 6 (15 enodes) 39.256 * * [simplify]: iters left: 5 (67 enodes) 39.268 * * [simplify]: iters left: 4 (117 enodes) 39.293 * * [simplify]: iters left: 3 (227 enodes) 39.396 * * [simplify]: Extracting #0: cost 1 inf + 0 39.396 * * [simplify]: Extracting #1: cost 22 inf + 0 39.396 * * [simplify]: Extracting #2: cost 126 inf + 1 39.397 * * [simplify]: Extracting #3: cost 203 inf + 3 39.399 * * [simplify]: Extracting #4: cost 163 inf + 12360 39.404 * * [simplify]: Extracting #5: cost 46 inf + 35618 39.412 * * [simplify]: Extracting #6: cost 3 inf + 46946 39.420 * * [simplify]: Extracting #7: cost 0 inf + 48263 39.433 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 39.433 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 39.433 * * * * [progress]: [ 127 / 189 ] simplifiying candidate # 39.433 * * * * [progress]: [ 128 / 189 ] simplifiying candidate # 39.433 * * * * [progress]: [ 129 / 189 ] simplifiying candidate # 39.434 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 39.434 * * [simplify]: iters left: 6 (19 enodes) 39.445 * * [simplify]: iters left: 5 (80 enodes) 39.471 * * [simplify]: iters left: 4 (188 enodes) 39.565 * * [simplify]: Extracting #0: cost 1 inf + 0 39.565 * * [simplify]: Extracting #1: cost 50 inf + 0 39.566 * * [simplify]: Extracting #2: cost 145 inf + 206 39.568 * * [simplify]: Extracting #3: cost 158 inf + 1393 39.570 * * [simplify]: Extracting #4: cost 148 inf + 2806 39.583 * * [simplify]: Extracting #5: cost 60 inf + 38680 39.604 * * [simplify]: Extracting #6: cost 0 inf + 74105 39.624 * * [simplify]: Extracting #7: cost 0 inf + 73832 39.643 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 39.643 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 39.644 * * * * [progress]: [ 130 / 189 ] simplifiying candidate # 39.644 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 39.644 * * [simplify]: iters left: 6 (17 enodes) 39.655 * * [simplify]: iters left: 5 (81 enodes) 39.682 * * [simplify]: iters left: 4 (174 enodes) 39.756 * * [simplify]: iters left: 3 (496 enodes) 40.148 * * [simplify]: Extracting #0: cost 1 inf + 0 40.149 * * [simplify]: Extracting #1: cost 104 inf + 0 40.152 * * [simplify]: Extracting #2: cost 449 inf + 3 40.156 * * [simplify]: Extracting #3: cost 489 inf + 497 40.161 * * [simplify]: Extracting #4: cost 469 inf + 4022 40.186 * * [simplify]: Extracting #5: cost 254 inf + 125307 40.262 * * [simplify]: Extracting #6: cost 9 inf + 318279 40.332 * * [simplify]: Extracting #7: cost 0 inf + 315925 40.405 * * [simplify]: Extracting #8: cost 0 inf + 314984 40.498 * [simplify]: Simplified to (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)) 40.498 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (* (* PI 2) n) (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))) (* (sqrt k) k)))) 40.498 * * * * [progress]: [ 131 / 189 ] simplifiying candidate # 40.499 * * * * [progress]: [ 132 / 189 ] simplifiying candidate # 40.499 * * * * [progress]: [ 133 / 189 ] simplifiying candidate # 40.499 * * * * [progress]: [ 134 / 189 ] simplifiying candidate # 40.499 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 40.499 * * [simplify]: iters left: 6 (9 enodes) 40.503 * * [simplify]: iters left: 5 (37 enodes) 40.511 * * [simplify]: iters left: 4 (66 enodes) 40.537 * * [simplify]: iters left: 3 (108 enodes) 40.574 * * [simplify]: iters left: 2 (171 enodes) 40.619 * * [simplify]: iters left: 1 (332 enodes) 40.802 * * [simplify]: Extracting #0: cost 1 inf + 0 40.802 * * [simplify]: Extracting #1: cost 30 inf + 0 40.803 * * [simplify]: Extracting #2: cost 99 inf + 3 40.804 * * [simplify]: Extracting #3: cost 84 inf + 1774 40.808 * * [simplify]: Extracting #4: cost 36 inf + 25934 40.816 * * [simplify]: Extracting #5: cost 0 inf + 51696 40.823 * * [simplify]: Extracting #6: cost 0 inf + 49807 40.829 * * [simplify]: Extracting #7: cost 0 inf + 49636 40.839 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 40.839 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 40.839 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 40.840 * * [simplify]: iters left: 6 (10 enodes) 40.842 * * [simplify]: iters left: 5 (38 enodes) 40.849 * * [simplify]: iters left: 4 (62 enodes) 40.860 * * [simplify]: iters left: 3 (104 enodes) 40.880 * * [simplify]: iters left: 2 (207 enodes) 40.943 * * [simplify]: iters left: 1 (463 enodes) 41.279 * * [simplify]: Extracting #0: cost 1 inf + 0 41.280 * * [simplify]: Extracting #1: cost 54 inf + 0 41.281 * * [simplify]: Extracting #2: cost 179 inf + 0 41.283 * * [simplify]: Extracting #3: cost 218 inf + 45 41.286 * * [simplify]: Extracting #4: cost 182 inf + 9256 41.308 * * [simplify]: Extracting #5: cost 56 inf + 91557 41.351 * * [simplify]: Extracting #6: cost 0 inf + 127910 41.403 * * [simplify]: Extracting #7: cost 0 inf + 117839 41.441 * * [simplify]: Extracting #8: cost 0 inf + 113430 41.502 * * [simplify]: Extracting #9: cost 0 inf + 113179 41.565 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 41.565 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 41.565 * * * * [progress]: [ 135 / 189 ] simplifiying candidate # 41.565 * * * * [progress]: [ 136 / 189 ] simplifiying candidate # 41.566 * [simplify]: Simplifying (sqrt k) 41.566 * * [simplify]: iters left: 1 (2 enodes) 41.567 * * [simplify]: Extracting #0: cost 1 inf + 0 41.567 * * [simplify]: Extracting #1: cost 3 inf + 0 41.567 * * [simplify]: Extracting #2: cost 2 inf + 1 41.567 * * [simplify]: Extracting #3: cost 0 inf + 83 41.567 * [simplify]: Simplified to (sqrt k) 41.567 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 41.567 * * * * [progress]: [ 137 / 189 ] simplifiying candidate # 41.567 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 41.568 * * [simplify]: iters left: 6 (15 enodes) 41.576 * * [simplify]: iters left: 5 (61 enodes) 41.597 * * [simplify]: iters left: 4 (95 enodes) 41.619 * * [simplify]: iters left: 3 (137 enodes) 41.649 * * [simplify]: iters left: 2 (222 enodes) 41.729 * * [simplify]: iters left: 1 (401 enodes) 41.921 * * [simplify]: Extracting #0: cost 1 inf + 0 41.921 * * [simplify]: Extracting #1: cost 4 inf + 0 41.921 * * [simplify]: Extracting #2: cost 9 inf + 0 41.921 * * [simplify]: Extracting #3: cost 46 inf + 0 41.922 * * [simplify]: Extracting #4: cost 133 inf + 2 41.923 * * [simplify]: Extracting #5: cost 176 inf + 220 41.926 * * [simplify]: Extracting #6: cost 131 inf + 6153 41.939 * * [simplify]: Extracting #7: cost 64 inf + 21220 41.954 * * [simplify]: Extracting #8: cost 13 inf + 57710 41.964 * * [simplify]: Extracting #9: cost 0 inf + 70745 41.975 * * [simplify]: Extracting #10: cost 0 inf + 69901 41.986 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 41.986 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 41.986 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 41.986 * * [simplify]: iters left: 6 (15 enodes) 41.991 * * [simplify]: iters left: 5 (61 enodes) 42.008 * * [simplify]: iters left: 4 (95 enodes) 42.039 * * [simplify]: iters left: 3 (137 enodes) 42.090 * * [simplify]: iters left: 2 (222 enodes) 42.169 * * [simplify]: iters left: 1 (401 enodes) 42.353 * * [simplify]: Extracting #0: cost 1 inf + 0 42.353 * * [simplify]: Extracting #1: cost 4 inf + 0 42.353 * * [simplify]: Extracting #2: cost 9 inf + 0 42.353 * * [simplify]: Extracting #3: cost 46 inf + 0 42.354 * * [simplify]: Extracting #4: cost 133 inf + 2 42.355 * * [simplify]: Extracting #5: cost 176 inf + 220 42.358 * * [simplify]: Extracting #6: cost 131 inf + 6153 42.366 * * [simplify]: Extracting #7: cost 64 inf + 21220 42.382 * * [simplify]: Extracting #8: cost 13 inf + 57710 42.402 * * [simplify]: Extracting #9: cost 0 inf + 70745 42.427 * * [simplify]: Extracting #10: cost 0 inf + 69901 42.448 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 42.448 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 42.448 * * * * [progress]: [ 138 / 189 ] simplifiying candidate # 42.449 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 42.449 * * [simplify]: iters left: 6 (16 enodes) 42.460 * * [simplify]: iters left: 5 (66 enodes) 42.482 * * [simplify]: iters left: 4 (106 enodes) 42.516 * * [simplify]: iters left: 3 (153 enodes) 42.568 * * [simplify]: iters left: 2 (239 enodes) 42.644 * * [simplify]: iters left: 1 (425 enodes) 42.817 * * [simplify]: Extracting #0: cost 1 inf + 0 42.817 * * [simplify]: Extracting #1: cost 7 inf + 0 42.817 * * [simplify]: Extracting #2: cost 13 inf + 1 42.817 * * [simplify]: Extracting #3: cost 43 inf + 1 42.818 * * [simplify]: Extracting #4: cost 126 inf + 44 42.819 * * [simplify]: Extracting #5: cost 162 inf + 959 42.821 * * [simplify]: Extracting #6: cost 107 inf + 8438 42.825 * * [simplify]: Extracting #7: cost 52 inf + 22526 42.841 * * [simplify]: Extracting #8: cost 7 inf + 58797 42.862 * * [simplify]: Extracting #9: cost 0 inf + 63630 42.888 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 42.889 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 42.889 * * [simplify]: iters left: 6 (16 enodes) 42.898 * * [simplify]: iters left: 5 (66 enodes) 42.909 * * [simplify]: iters left: 4 (106 enodes) 42.932 * * [simplify]: iters left: 3 (153 enodes) 42.980 * * [simplify]: iters left: 2 (239 enodes) 43.049 * * [simplify]: iters left: 1 (425 enodes) 43.214 * * [simplify]: Extracting #0: cost 1 inf + 0 43.214 * * [simplify]: Extracting #1: cost 7 inf + 0 43.214 * * [simplify]: Extracting #2: cost 13 inf + 1 43.214 * * [simplify]: Extracting #3: cost 43 inf + 1 43.215 * * [simplify]: Extracting #4: cost 126 inf + 44 43.215 * * [simplify]: Extracting #5: cost 162 inf + 959 43.218 * * [simplify]: Extracting #6: cost 107 inf + 8438 43.222 * * [simplify]: Extracting #7: cost 52 inf + 22526 43.231 * * [simplify]: Extracting #8: cost 7 inf + 58797 43.242 * * [simplify]: Extracting #9: cost 0 inf + 63630 43.252 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 43.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 43.253 * * * * [progress]: [ 139 / 189 ] simplifiying candidate # 43.253 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 43.253 * * [simplify]: iters left: 6 (16 enodes) 43.261 * * [simplify]: iters left: 5 (66 enodes) 43.282 * * [simplify]: iters left: 4 (106 enodes) 43.320 * * [simplify]: iters left: 3 (153 enodes) 43.356 * * [simplify]: iters left: 2 (239 enodes) 43.414 * * [simplify]: iters left: 1 (425 enodes) 43.645 * * [simplify]: Extracting #0: cost 1 inf + 0 43.645 * * [simplify]: Extracting #1: cost 7 inf + 0 43.645 * * [simplify]: Extracting #2: cost 13 inf + 1 43.645 * * [simplify]: Extracting #3: cost 43 inf + 1 43.651 * * [simplify]: Extracting #4: cost 126 inf + 44 43.653 * * [simplify]: Extracting #5: cost 162 inf + 959 43.657 * * [simplify]: Extracting #6: cost 107 inf + 8438 43.665 * * [simplify]: Extracting #7: cost 52 inf + 22526 43.679 * * [simplify]: Extracting #8: cost 7 inf + 58797 43.701 * * [simplify]: Extracting #9: cost 0 inf + 63630 43.722 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 43.722 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.723 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 43.723 * * [simplify]: iters left: 6 (16 enodes) 43.733 * * [simplify]: iters left: 5 (66 enodes) 43.755 * * [simplify]: iters left: 4 (106 enodes) 43.790 * * [simplify]: iters left: 3 (153 enodes) 43.841 * * [simplify]: iters left: 2 (239 enodes) 43.927 * * [simplify]: iters left: 1 (425 enodes) 44.101 * * [simplify]: Extracting #0: cost 1 inf + 0 44.101 * * [simplify]: Extracting #1: cost 7 inf + 0 44.101 * * [simplify]: Extracting #2: cost 13 inf + 1 44.101 * * [simplify]: Extracting #3: cost 43 inf + 1 44.102 * * [simplify]: Extracting #4: cost 126 inf + 44 44.102 * * [simplify]: Extracting #5: cost 162 inf + 959 44.105 * * [simplify]: Extracting #6: cost 107 inf + 8438 44.109 * * [simplify]: Extracting #7: cost 52 inf + 22526 44.118 * * [simplify]: Extracting #8: cost 7 inf + 58797 44.131 * * [simplify]: Extracting #9: cost 0 inf + 63630 44.142 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.142 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 44.142 * * * * [progress]: [ 140 / 189 ] simplifiying candidate # 44.142 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 44.143 * * [simplify]: iters left: 6 (15 enodes) 44.147 * * [simplify]: iters left: 5 (63 enodes) 44.159 * * [simplify]: iters left: 4 (101 enodes) 44.176 * * [simplify]: iters left: 3 (149 enodes) 44.215 * * [simplify]: iters left: 2 (232 enodes) 44.301 * * [simplify]: iters left: 1 (411 enodes) 44.446 * * [simplify]: Extracting #0: cost 1 inf + 0 44.446 * * [simplify]: Extracting #1: cost 7 inf + 0 44.447 * * [simplify]: Extracting #2: cost 13 inf + 1 44.447 * * [simplify]: Extracting #3: cost 46 inf + 1 44.447 * * [simplify]: Extracting #4: cost 134 inf + 3 44.449 * * [simplify]: Extracting #5: cost 157 inf + 1204 44.453 * * [simplify]: Extracting #6: cost 101 inf + 9975 44.463 * * [simplify]: Extracting #7: cost 34 inf + 39717 44.482 * * [simplify]: Extracting #8: cost 0 inf + 70149 44.503 * * [simplify]: Extracting #9: cost 0 inf + 67429 44.516 * * [simplify]: Extracting #10: cost 0 inf + 67298 44.528 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.528 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 44.528 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 44.529 * * [simplify]: iters left: 6 (15 enodes) 44.536 * * [simplify]: iters left: 5 (63 enodes) 44.548 * * [simplify]: iters left: 4 (101 enodes) 44.573 * * [simplify]: iters left: 3 (149 enodes) 44.600 * * [simplify]: iters left: 2 (232 enodes) 44.650 * * [simplify]: iters left: 1 (411 enodes) 44.776 * * [simplify]: Extracting #0: cost 1 inf + 0 44.776 * * [simplify]: Extracting #1: cost 7 inf + 0 44.776 * * [simplify]: Extracting #2: cost 13 inf + 1 44.776 * * [simplify]: Extracting #3: cost 46 inf + 1 44.777 * * [simplify]: Extracting #4: cost 134 inf + 3 44.778 * * [simplify]: Extracting #5: cost 157 inf + 1204 44.787 * * [simplify]: Extracting #6: cost 101 inf + 9975 44.799 * * [simplify]: Extracting #7: cost 34 inf + 39717 44.813 * * [simplify]: Extracting #8: cost 0 inf + 70149 44.825 * * [simplify]: Extracting #9: cost 0 inf + 67429 44.837 * * [simplify]: Extracting #10: cost 0 inf + 67298 44.858 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 44.859 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 44.859 * * * * [progress]: [ 141 / 189 ] simplifiying candidate # 44.859 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 44.859 * * [simplify]: iters left: 6 (15 enodes) 44.868 * * [simplify]: iters left: 5 (63 enodes) 44.880 * * [simplify]: iters left: 4 (101 enodes) 44.901 * * [simplify]: iters left: 3 (149 enodes) 44.949 * * [simplify]: iters left: 2 (232 enodes) 45.033 * * [simplify]: iters left: 1 (411 enodes) 45.188 * * [simplify]: Extracting #0: cost 1 inf + 0 45.188 * * [simplify]: Extracting #1: cost 7 inf + 0 45.189 * * [simplify]: Extracting #2: cost 13 inf + 1 45.189 * * [simplify]: Extracting #3: cost 46 inf + 1 45.190 * * [simplify]: Extracting #4: cost 134 inf + 3 45.191 * * [simplify]: Extracting #5: cost 157 inf + 1204 45.195 * * [simplify]: Extracting #6: cost 101 inf + 9975 45.207 * * [simplify]: Extracting #7: cost 34 inf + 39717 45.228 * * [simplify]: Extracting #8: cost 0 inf + 70149 45.256 * * [simplify]: Extracting #9: cost 0 inf + 67429 45.278 * * [simplify]: Extracting #10: cost 0 inf + 67298 45.301 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 45.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 45.301 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 45.301 * * [simplify]: iters left: 6 (15 enodes) 45.311 * * [simplify]: iters left: 5 (63 enodes) 45.332 * * [simplify]: iters left: 4 (101 enodes) 45.361 * * [simplify]: iters left: 3 (149 enodes) 45.392 * * [simplify]: iters left: 2 (232 enodes) 45.442 * * [simplify]: iters left: 1 (411 enodes) 45.600 * * [simplify]: Extracting #0: cost 1 inf + 0 45.601 * * [simplify]: Extracting #1: cost 7 inf + 0 45.601 * * [simplify]: Extracting #2: cost 13 inf + 1 45.601 * * [simplify]: Extracting #3: cost 46 inf + 1 45.602 * * [simplify]: Extracting #4: cost 134 inf + 3 45.603 * * [simplify]: Extracting #5: cost 157 inf + 1204 45.607 * * [simplify]: Extracting #6: cost 101 inf + 9975 45.619 * * [simplify]: Extracting #7: cost 34 inf + 39717 45.640 * * [simplify]: Extracting #8: cost 0 inf + 70149 45.662 * * [simplify]: Extracting #9: cost 0 inf + 67429 45.686 * * [simplify]: Extracting #10: cost 0 inf + 67298 45.713 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 45.713 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 45.713 * * * * [progress]: [ 142 / 189 ] simplifiying candidate # 45.714 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 45.714 * * [simplify]: iters left: 6 (15 enodes) 45.722 * * [simplify]: iters left: 5 (64 enodes) 45.744 * * [simplify]: iters left: 4 (104 enodes) 45.778 * * [simplify]: iters left: 3 (170 enodes) 45.842 * * [simplify]: iters left: 2 (330 enodes) 45.952 * * [simplify]: Extracting #0: cost 1 inf + 0 45.953 * * [simplify]: Extracting #1: cost 31 inf + 0 45.953 * * [simplify]: Extracting #2: cost 95 inf + 0 45.954 * * [simplify]: Extracting #3: cost 152 inf + 2 45.955 * * [simplify]: Extracting #4: cost 165 inf + 181 45.957 * * [simplify]: Extracting #5: cost 163 inf + 724 45.966 * * [simplify]: Extracting #6: cost 90 inf + 12102 45.979 * * [simplify]: Extracting #7: cost 27 inf + 44290 45.999 * * [simplify]: Extracting #8: cost 2 inf + 65030 46.009 * * [simplify]: Extracting #9: cost 0 inf + 67175 46.020 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 46.020 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 46.020 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 46.020 * * [simplify]: iters left: 6 (15 enodes) 46.025 * * [simplify]: iters left: 5 (64 enodes) 46.043 * * [simplify]: iters left: 4 (104 enodes) 46.062 * * [simplify]: iters left: 3 (170 enodes) 46.112 * * [simplify]: iters left: 2 (330 enodes) 46.233 * * [simplify]: Extracting #0: cost 1 inf + 0 46.233 * * [simplify]: Extracting #1: cost 31 inf + 0 46.234 * * [simplify]: Extracting #2: cost 95 inf + 0 46.234 * * [simplify]: Extracting #3: cost 152 inf + 2 46.236 * * [simplify]: Extracting #4: cost 165 inf + 181 46.237 * * [simplify]: Extracting #5: cost 163 inf + 724 46.242 * * [simplify]: Extracting #6: cost 90 inf + 12102 46.255 * * [simplify]: Extracting #7: cost 27 inf + 44290 46.275 * * [simplify]: Extracting #8: cost 2 inf + 65030 46.293 * * [simplify]: Extracting #9: cost 0 inf + 67175 46.303 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 46.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 46.303 * * * * [progress]: [ 143 / 189 ] simplifiying candidate # 46.303 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 46.304 * * [simplify]: iters left: 6 (16 enodes) 46.313 * * [simplify]: iters left: 5 (69 enodes) 46.332 * * [simplify]: iters left: 4 (113 enodes) 46.374 * * [simplify]: iters left: 3 (202 enodes) 46.444 * * [simplify]: iters left: 2 (404 enodes) 46.572 * * [simplify]: Extracting #0: cost 1 inf + 0 46.572 * * [simplify]: Extracting #1: cost 47 inf + 0 46.573 * * [simplify]: Extracting #2: cost 144 inf + 1 46.575 * * [simplify]: Extracting #3: cost 202 inf + 3 46.578 * * [simplify]: Extracting #4: cost 179 inf + 9192 46.596 * * [simplify]: Extracting #5: cost 68 inf + 69284 46.617 * * [simplify]: Extracting #6: cost 2 inf + 99009 46.638 * * [simplify]: Extracting #7: cost 0 inf + 98954 46.668 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 46.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 46.669 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 46.669 * * [simplify]: iters left: 6 (16 enodes) 46.679 * * [simplify]: iters left: 5 (69 enodes) 46.703 * * [simplify]: iters left: 4 (113 enodes) 46.735 * * [simplify]: iters left: 3 (202 enodes) 46.807 * * [simplify]: iters left: 2 (404 enodes) 47.019 * * [simplify]: Extracting #0: cost 1 inf + 0 47.019 * * [simplify]: Extracting #1: cost 47 inf + 0 47.020 * * [simplify]: Extracting #2: cost 144 inf + 1 47.021 * * [simplify]: Extracting #3: cost 202 inf + 3 47.025 * * [simplify]: Extracting #4: cost 179 inf + 9192 47.043 * * [simplify]: Extracting #5: cost 68 inf + 69284 47.073 * * [simplify]: Extracting #6: cost 2 inf + 99009 47.101 * * [simplify]: Extracting #7: cost 0 inf + 98954 47.117 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 47.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 47.117 * * * * [progress]: [ 144 / 189 ] simplifiying candidate # 47.118 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 47.118 * * [simplify]: iters left: 6 (16 enodes) 47.124 * * [simplify]: iters left: 5 (69 enodes) 47.149 * * [simplify]: iters left: 4 (113 enodes) 47.191 * * [simplify]: iters left: 3 (202 enodes) 47.245 * * [simplify]: iters left: 2 (404 enodes) 47.455 * * [simplify]: Extracting #0: cost 1 inf + 0 47.456 * * [simplify]: Extracting #1: cost 47 inf + 0 47.456 * * [simplify]: Extracting #2: cost 144 inf + 1 47.458 * * [simplify]: Extracting #3: cost 202 inf + 3 47.461 * * [simplify]: Extracting #4: cost 179 inf + 9192 47.480 * * [simplify]: Extracting #5: cost 68 inf + 69284 47.496 * * [simplify]: Extracting #6: cost 2 inf + 99009 47.516 * * [simplify]: Extracting #7: cost 0 inf + 98954 47.546 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 47.547 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 47.547 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 47.547 * * [simplify]: iters left: 6 (16 enodes) 47.558 * * [simplify]: iters left: 5 (69 enodes) 47.582 * * [simplify]: iters left: 4 (113 enodes) 47.623 * * [simplify]: iters left: 3 (202 enodes) 47.678 * * [simplify]: iters left: 2 (404 enodes) 47.846 * * [simplify]: Extracting #0: cost 1 inf + 0 47.846 * * [simplify]: Extracting #1: cost 47 inf + 0 47.847 * * [simplify]: Extracting #2: cost 144 inf + 1 47.849 * * [simplify]: Extracting #3: cost 202 inf + 3 47.852 * * [simplify]: Extracting #4: cost 179 inf + 9192 47.867 * * [simplify]: Extracting #5: cost 68 inf + 69284 47.882 * * [simplify]: Extracting #6: cost 2 inf + 99009 47.897 * * [simplify]: Extracting #7: cost 0 inf + 98954 47.912 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 47.912 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 47.912 * * * * [progress]: [ 145 / 189 ] simplifiying candidate # 47.913 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 47.913 * * [simplify]: iters left: 6 (15 enodes) 47.918 * * [simplify]: iters left: 5 (66 enodes) 47.935 * * [simplify]: iters left: 4 (112 enodes) 47.964 * * [simplify]: iters left: 3 (199 enodes) 48.021 * * [simplify]: iters left: 2 (401 enodes) 48.169 * * [simplify]: Extracting #0: cost 1 inf + 0 48.169 * * [simplify]: Extracting #1: cost 42 inf + 0 48.170 * * [simplify]: Extracting #2: cost 131 inf + 1 48.170 * * [simplify]: Extracting #3: cost 184 inf + 3 48.172 * * [simplify]: Extracting #4: cost 171 inf + 4027 48.175 * * [simplify]: Extracting #5: cost 109 inf + 21659 48.188 * * [simplify]: Extracting #6: cost 20 inf + 73560 48.219 * * [simplify]: Extracting #7: cost 0 inf + 83429 48.254 * * [simplify]: Extracting #8: cost 0 inf + 81592 48.282 * * [simplify]: Extracting #9: cost 0 inf + 81199 48.299 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 48.299 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 48.300 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 48.300 * * [simplify]: iters left: 6 (15 enodes) 48.306 * * [simplify]: iters left: 5 (66 enodes) 48.329 * * [simplify]: iters left: 4 (112 enodes) 48.373 * * [simplify]: iters left: 3 (199 enodes) 48.433 * * [simplify]: iters left: 2 (401 enodes) 48.571 * * [simplify]: Extracting #0: cost 1 inf + 0 48.572 * * [simplify]: Extracting #1: cost 42 inf + 0 48.572 * * [simplify]: Extracting #2: cost 131 inf + 1 48.574 * * [simplify]: Extracting #3: cost 184 inf + 3 48.576 * * [simplify]: Extracting #4: cost 171 inf + 4027 48.583 * * [simplify]: Extracting #5: cost 109 inf + 21659 48.607 * * [simplify]: Extracting #6: cost 20 inf + 73560 48.638 * * [simplify]: Extracting #7: cost 0 inf + 83429 48.672 * * [simplify]: Extracting #8: cost 0 inf + 81592 48.703 * * [simplify]: Extracting #9: cost 0 inf + 81199 48.721 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 48.721 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 48.721 * * * * [progress]: [ 146 / 189 ] simplifiying candidate # 48.721 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 48.721 * * [simplify]: iters left: 6 (15 enodes) 48.729 * * [simplify]: iters left: 5 (66 enodes) 48.753 * * [simplify]: iters left: 4 (112 enodes) 48.793 * * [simplify]: iters left: 3 (199 enodes) 48.880 * * [simplify]: iters left: 2 (401 enodes) 49.070 * * [simplify]: Extracting #0: cost 1 inf + 0 49.070 * * [simplify]: Extracting #1: cost 42 inf + 0 49.071 * * [simplify]: Extracting #2: cost 131 inf + 1 49.072 * * [simplify]: Extracting #3: cost 184 inf + 3 49.073 * * [simplify]: Extracting #4: cost 171 inf + 4027 49.076 * * [simplify]: Extracting #5: cost 109 inf + 21659 49.089 * * [simplify]: Extracting #6: cost 20 inf + 73560 49.106 * * [simplify]: Extracting #7: cost 0 inf + 83429 49.140 * * [simplify]: Extracting #8: cost 0 inf + 81592 49.169 * * [simplify]: Extracting #9: cost 0 inf + 81199 49.189 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 49.189 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 49.190 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 49.190 * * [simplify]: iters left: 6 (15 enodes) 49.195 * * [simplify]: iters left: 5 (66 enodes) 49.215 * * [simplify]: iters left: 4 (112 enodes) 49.256 * * [simplify]: iters left: 3 (199 enodes) 49.338 * * [simplify]: iters left: 2 (401 enodes) 49.503 * * [simplify]: Extracting #0: cost 1 inf + 0 49.503 * * [simplify]: Extracting #1: cost 42 inf + 0 49.504 * * [simplify]: Extracting #2: cost 131 inf + 1 49.504 * * [simplify]: Extracting #3: cost 184 inf + 3 49.509 * * [simplify]: Extracting #4: cost 171 inf + 4027 49.513 * * [simplify]: Extracting #5: cost 109 inf + 21659 49.525 * * [simplify]: Extracting #6: cost 20 inf + 73560 49.551 * * [simplify]: Extracting #7: cost 0 inf + 83429 49.576 * * [simplify]: Extracting #8: cost 0 inf + 81592 49.594 * * [simplify]: Extracting #9: cost 0 inf + 81199 49.616 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 49.616 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 49.616 * * * * [progress]: [ 147 / 189 ] simplifiying candidate # 49.616 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 49.616 * * [simplify]: iters left: 4 (5 enodes) 49.620 * * [simplify]: iters left: 3 (17 enodes) 49.625 * * [simplify]: iters left: 2 (19 enodes) 49.631 * * [simplify]: Extracting #0: cost 1 inf + 0 49.631 * * [simplify]: Extracting #1: cost 3 inf + 0 49.631 * * [simplify]: Extracting #2: cost 6 inf + 0 49.631 * * [simplify]: Extracting #3: cost 7 inf + 1 49.631 * * [simplify]: Extracting #4: cost 0 inf + 572 49.631 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 49.631 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 49.632 * * * * [progress]: [ 148 / 189 ] simplifiying candidate # 49.632 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 49.632 * * [simplify]: iters left: 4 (5 enodes) 49.635 * * [simplify]: iters left: 3 (17 enodes) 49.643 * * [simplify]: iters left: 2 (19 enodes) 49.648 * * [simplify]: Extracting #0: cost 1 inf + 0 49.648 * * [simplify]: Extracting #1: cost 3 inf + 0 49.648 * * [simplify]: Extracting #2: cost 6 inf + 0 49.648 * * [simplify]: Extracting #3: cost 7 inf + 1 49.649 * * [simplify]: Extracting #4: cost 0 inf + 492 49.649 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 49.649 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 49.649 * * * * [progress]: [ 149 / 189 ] simplifiying candidate # 49.649 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 49.649 * * [simplify]: iters left: 4 (6 enodes) 49.651 * * [simplify]: iters left: 3 (20 enodes) 49.655 * * [simplify]: iters left: 2 (22 enodes) 49.658 * * [simplify]: Extracting #0: cost 1 inf + 0 49.658 * * [simplify]: Extracting #1: cost 4 inf + 0 49.658 * * [simplify]: Extracting #2: cost 5 inf + 1 49.658 * * [simplify]: Extracting #3: cost 7 inf + 1 49.658 * * [simplify]: Extracting #4: cost 1 inf + 488 49.658 * * [simplify]: Extracting #5: cost 0 inf + 650 49.658 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 49.658 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 49.658 * * * * [progress]: [ 150 / 189 ] simplifiying candidate # 49.659 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 49.659 * * [simplify]: iters left: 4 (6 enodes) 49.661 * * [simplify]: iters left: 3 (20 enodes) 49.664 * * [simplify]: iters left: 2 (22 enodes) 49.667 * * [simplify]: Extracting #0: cost 1 inf + 0 49.667 * * [simplify]: Extracting #1: cost 4 inf + 0 49.667 * * [simplify]: Extracting #2: cost 5 inf + 1 49.667 * * [simplify]: Extracting #3: cost 7 inf + 1 49.668 * * [simplify]: Extracting #4: cost 1 inf + 568 49.668 * * [simplify]: Extracting #5: cost 0 inf + 730 49.668 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 49.668 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 49.668 * * * * [progress]: [ 151 / 189 ] simplifiying candidate # 49.668 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 49.668 * * [simplify]: iters left: 4 (6 enodes) 49.670 * * [simplify]: iters left: 3 (20 enodes) 49.673 * * [simplify]: iters left: 2 (22 enodes) 49.677 * * [simplify]: Extracting #0: cost 1 inf + 0 49.677 * * [simplify]: Extracting #1: cost 4 inf + 0 49.677 * * [simplify]: Extracting #2: cost 5 inf + 1 49.677 * * [simplify]: Extracting #3: cost 7 inf + 1 49.677 * * [simplify]: Extracting #4: cost 1 inf + 368 49.677 * * [simplify]: Extracting #5: cost 0 inf + 490 49.677 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.678 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.678 * * * * [progress]: [ 152 / 189 ] simplifiying candidate # 49.678 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 49.678 * * [simplify]: iters left: 3 (5 enodes) 49.680 * * [simplify]: iters left: 2 (17 enodes) 49.683 * * [simplify]: iters left: 1 (19 enodes) 49.689 * * [simplify]: Extracting #0: cost 1 inf + 0 49.689 * * [simplify]: Extracting #1: cost 4 inf + 0 49.689 * * [simplify]: Extracting #2: cost 5 inf + 1 49.689 * * [simplify]: Extracting #3: cost 0 inf + 248 49.689 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.689 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 49.690 * * * * [progress]: [ 153 / 189 ] simplifiying candidate # 49.690 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 49.690 * * [simplify]: iters left: 4 (6 enodes) 49.693 * * [simplify]: iters left: 3 (20 enodes) 49.696 * * [simplify]: iters left: 2 (22 enodes) 49.699 * * [simplify]: Extracting #0: cost 1 inf + 0 49.699 * * [simplify]: Extracting #1: cost 4 inf + 0 49.699 * * [simplify]: Extracting #2: cost 5 inf + 1 49.699 * * [simplify]: Extracting #3: cost 7 inf + 1 49.699 * * [simplify]: Extracting #4: cost 1 inf + 368 49.700 * * [simplify]: Extracting #5: cost 0 inf + 490 49.700 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.700 * * * * [progress]: [ 154 / 189 ] simplifiying candidate # 49.700 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 49.700 * * [simplify]: iters left: 3 (5 enodes) 49.702 * * [simplify]: iters left: 2 (17 enodes) 49.705 * * [simplify]: iters left: 1 (19 enodes) 49.708 * * [simplify]: Extracting #0: cost 1 inf + 0 49.708 * * [simplify]: Extracting #1: cost 4 inf + 0 49.708 * * [simplify]: Extracting #2: cost 5 inf + 1 49.708 * * [simplify]: Extracting #3: cost 0 inf + 248 49.708 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.708 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 49.708 * * * * [progress]: [ 155 / 189 ] simplifiying candidate # 49.709 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 49.709 * * [simplify]: iters left: 4 (6 enodes) 49.711 * * [simplify]: iters left: 3 (20 enodes) 49.717 * * [simplify]: iters left: 2 (22 enodes) 49.723 * * [simplify]: Extracting #0: cost 1 inf + 0 49.723 * * [simplify]: Extracting #1: cost 4 inf + 0 49.723 * * [simplify]: Extracting #2: cost 5 inf + 1 49.723 * * [simplify]: Extracting #3: cost 7 inf + 1 49.723 * * [simplify]: Extracting #4: cost 1 inf + 488 49.723 * * [simplify]: Extracting #5: cost 0 inf + 650 49.724 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 49.724 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 49.724 * * * * [progress]: [ 156 / 189 ] simplifiying candidate # 49.724 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 49.724 * * [simplify]: iters left: 4 (6 enodes) 49.728 * * [simplify]: iters left: 3 (20 enodes) 49.734 * * [simplify]: iters left: 2 (22 enodes) 49.740 * * [simplify]: Extracting #0: cost 1 inf + 0 49.740 * * [simplify]: Extracting #1: cost 4 inf + 0 49.741 * * [simplify]: Extracting #2: cost 5 inf + 1 49.741 * * [simplify]: Extracting #3: cost 7 inf + 1 49.741 * * [simplify]: Extracting #4: cost 1 inf + 568 49.741 * * [simplify]: Extracting #5: cost 0 inf + 730 49.741 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 49.741 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 49.741 * * * * [progress]: [ 157 / 189 ] simplifiying candidate # 49.742 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 49.742 * * [simplify]: iters left: 4 (6 enodes) 49.746 * * [simplify]: iters left: 3 (20 enodes) 49.752 * * [simplify]: iters left: 2 (22 enodes) 49.763 * * [simplify]: Extracting #0: cost 1 inf + 0 49.763 * * [simplify]: Extracting #1: cost 4 inf + 0 49.763 * * [simplify]: Extracting #2: cost 5 inf + 1 49.763 * * [simplify]: Extracting #3: cost 7 inf + 1 49.763 * * [simplify]: Extracting #4: cost 1 inf + 368 49.763 * * [simplify]: Extracting #5: cost 0 inf + 490 49.764 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.764 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.764 * * * * [progress]: [ 158 / 189 ] simplifiying candidate # 49.764 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 49.764 * * [simplify]: iters left: 3 (5 enodes) 49.769 * * [simplify]: iters left: 2 (17 enodes) 49.774 * * [simplify]: iters left: 1 (19 enodes) 49.779 * * [simplify]: Extracting #0: cost 1 inf + 0 49.779 * * [simplify]: Extracting #1: cost 4 inf + 0 49.779 * * [simplify]: Extracting #2: cost 5 inf + 1 49.780 * * [simplify]: Extracting #3: cost 0 inf + 248 49.780 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.780 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 49.780 * * * * [progress]: [ 159 / 189 ] simplifiying candidate # 49.780 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 49.780 * * [simplify]: iters left: 4 (6 enodes) 49.784 * * [simplify]: iters left: 3 (20 enodes) 49.790 * * [simplify]: iters left: 2 (22 enodes) 49.797 * * [simplify]: Extracting #0: cost 1 inf + 0 49.797 * * [simplify]: Extracting #1: cost 4 inf + 0 49.797 * * [simplify]: Extracting #2: cost 5 inf + 1 49.797 * * [simplify]: Extracting #3: cost 7 inf + 1 49.797 * * [simplify]: Extracting #4: cost 1 inf + 368 49.797 * * [simplify]: Extracting #5: cost 0 inf + 490 49.797 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.797 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.797 * * * * [progress]: [ 160 / 189 ] simplifiying candidate # 49.798 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 49.798 * * [simplify]: iters left: 3 (5 enodes) 49.802 * * [simplify]: iters left: 2 (17 enodes) 49.807 * * [simplify]: iters left: 1 (19 enodes) 49.812 * * [simplify]: Extracting #0: cost 1 inf + 0 49.812 * * [simplify]: Extracting #1: cost 4 inf + 0 49.812 * * [simplify]: Extracting #2: cost 5 inf + 1 49.812 * * [simplify]: Extracting #3: cost 0 inf + 248 49.813 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 49.813 * * * * [progress]: [ 161 / 189 ] simplifiying candidate # 49.813 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 49.813 * * [simplify]: iters left: 4 (5 enodes) 49.816 * * [simplify]: iters left: 3 (17 enodes) 49.822 * * [simplify]: iters left: 2 (19 enodes) 49.827 * * [simplify]: Extracting #0: cost 1 inf + 0 49.827 * * [simplify]: Extracting #1: cost 4 inf + 0 49.827 * * [simplify]: Extracting #2: cost 5 inf + 1 49.828 * * [simplify]: Extracting #3: cost 7 inf + 1 49.828 * * [simplify]: Extracting #4: cost 0 inf + 650 49.828 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 49.828 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 49.828 * * * * [progress]: [ 162 / 189 ] simplifiying candidate # 49.828 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 49.828 * * [simplify]: iters left: 4 (5 enodes) 49.831 * * [simplify]: iters left: 3 (17 enodes) 49.836 * * [simplify]: iters left: 2 (19 enodes) 49.842 * * [simplify]: Extracting #0: cost 1 inf + 0 49.842 * * [simplify]: Extracting #1: cost 4 inf + 0 49.842 * * [simplify]: Extracting #2: cost 5 inf + 1 49.842 * * [simplify]: Extracting #3: cost 7 inf + 1 49.842 * * [simplify]: Extracting #4: cost 0 inf + 730 49.842 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 49.843 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 49.843 * * * * [progress]: [ 163 / 189 ] simplifiying candidate # 49.843 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.843 * * [simplify]: iters left: 4 (5 enodes) 49.846 * * [simplify]: iters left: 3 (17 enodes) 49.851 * * [simplify]: iters left: 2 (19 enodes) 49.858 * * [simplify]: Extracting #0: cost 1 inf + 0 49.858 * * [simplify]: Extracting #1: cost 4 inf + 0 49.858 * * [simplify]: Extracting #2: cost 5 inf + 1 49.858 * * [simplify]: Extracting #3: cost 7 inf + 1 49.858 * * [simplify]: Extracting #4: cost 0 inf + 490 49.858 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.858 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.858 * * * * [progress]: [ 164 / 189 ] simplifiying candidate # 49.859 * [simplify]: Simplifying (/ 1 (sqrt k)) 49.859 * * [simplify]: iters left: 3 (4 enodes) 49.861 * * [simplify]: iters left: 2 (14 enodes) 49.866 * * [simplify]: iters left: 1 (16 enodes) 49.871 * * [simplify]: Extracting #0: cost 1 inf + 0 49.871 * * [simplify]: Extracting #1: cost 4 inf + 0 49.871 * * [simplify]: Extracting #2: cost 5 inf + 1 49.871 * * [simplify]: Extracting #3: cost 3 inf + 43 49.871 * * [simplify]: Extracting #4: cost 1 inf + 166 49.871 * * [simplify]: Extracting #5: cost 0 inf + 248 49.871 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.871 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 49.871 * * * * [progress]: [ 165 / 189 ] simplifiying candidate # 49.872 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 49.872 * * [simplify]: iters left: 4 (5 enodes) 49.874 * * [simplify]: iters left: 3 (17 enodes) 49.880 * * [simplify]: iters left: 2 (19 enodes) 49.886 * * [simplify]: Extracting #0: cost 1 inf + 0 49.886 * * [simplify]: Extracting #1: cost 4 inf + 0 49.886 * * [simplify]: Extracting #2: cost 5 inf + 1 49.886 * * [simplify]: Extracting #3: cost 7 inf + 1 49.886 * * [simplify]: Extracting #4: cost 0 inf + 490 49.886 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 49.886 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 49.886 * * * * [progress]: [ 166 / 189 ] simplifiying candidate # 49.887 * [simplify]: Simplifying (/ 1 (sqrt k)) 49.887 * * [simplify]: iters left: 3 (4 enodes) 49.889 * * [simplify]: iters left: 2 (14 enodes) 49.894 * * [simplify]: iters left: 1 (16 enodes) 49.899 * * [simplify]: Extracting #0: cost 1 inf + 0 49.899 * * [simplify]: Extracting #1: cost 4 inf + 0 49.899 * * [simplify]: Extracting #2: cost 5 inf + 1 49.899 * * [simplify]: Extracting #3: cost 3 inf + 43 49.899 * * [simplify]: Extracting #4: cost 1 inf + 166 49.900 * * [simplify]: Extracting #5: cost 0 inf + 248 49.900 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.900 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 49.900 * * * * [progress]: [ 167 / 189 ] simplifiying candidate # 49.900 * [simplify]: Simplifying (/ 1 (sqrt k)) 49.900 * * [simplify]: iters left: 3 (4 enodes) 49.903 * * [simplify]: iters left: 2 (14 enodes) 49.908 * * [simplify]: iters left: 1 (16 enodes) 49.913 * * [simplify]: Extracting #0: cost 1 inf + 0 49.913 * * [simplify]: Extracting #1: cost 4 inf + 0 49.913 * * [simplify]: Extracting #2: cost 5 inf + 1 49.913 * * [simplify]: Extracting #3: cost 3 inf + 43 49.913 * * [simplify]: Extracting #4: cost 1 inf + 166 49.913 * * [simplify]: Extracting #5: cost 0 inf + 248 49.913 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 49.914 * * * * [progress]: [ 168 / 189 ] simplifiying candidate # 49.914 * [simplify]: Simplifying (/ 1 (sqrt k)) 49.914 * * [simplify]: iters left: 3 (4 enodes) 49.916 * * [simplify]: iters left: 2 (14 enodes) 49.921 * * [simplify]: iters left: 1 (16 enodes) 49.926 * * [simplify]: Extracting #0: cost 1 inf + 0 49.926 * * [simplify]: Extracting #1: cost 4 inf + 0 49.926 * * [simplify]: Extracting #2: cost 5 inf + 1 49.926 * * [simplify]: Extracting #3: cost 3 inf + 43 49.926 * * [simplify]: Extracting #4: cost 1 inf + 166 49.926 * * [simplify]: Extracting #5: cost 0 inf + 248 49.926 * [simplify]: Simplified to (/ 1 (sqrt k)) 49.926 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 49.927 * * * * [progress]: [ 169 / 189 ] simplifiying candidate # 49.927 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 49.927 * * [simplify]: iters left: 5 (7 enodes) 49.935 * * [simplify]: iters left: 4 (32 enodes) 49.948 * * [simplify]: iters left: 3 (57 enodes) 49.967 * * [simplify]: iters left: 2 (90 enodes) 49.989 * * [simplify]: iters left: 1 (170 enodes) 50.044 * * [simplify]: Extracting #0: cost 1 inf + 0 50.044 * * [simplify]: Extracting #1: cost 13 inf + 0 50.044 * * [simplify]: Extracting #2: cost 54 inf + 2 50.045 * * [simplify]: Extracting #3: cost 89 inf + 6 50.045 * * [simplify]: Extracting #4: cost 78 inf + 1344 50.049 * * [simplify]: Extracting #5: cost 20 inf + 14664 50.060 * * [simplify]: Extracting #6: cost 1 inf + 22045 50.067 * * [simplify]: Extracting #7: cost 0 inf + 21300 50.071 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 50.072 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 50.072 * * * * [progress]: [ 170 / 189 ] simplifiying candidate # 50.072 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 50.072 * * [simplify]: iters left: 6 (12 enodes) 50.076 * * [simplify]: iters left: 5 (51 enodes) 50.086 * * [simplify]: iters left: 4 (84 enodes) 50.103 * * [simplify]: iters left: 3 (127 enodes) 50.146 * * [simplify]: iters left: 2 (212 enodes) 50.206 * * [simplify]: iters left: 1 (389 enodes) 50.436 * * [simplify]: Extracting #0: cost 1 inf + 0 50.436 * * [simplify]: Extracting #1: cost 3 inf + 0 50.436 * * [simplify]: Extracting #2: cost 5 inf + 0 50.436 * * [simplify]: Extracting #3: cost 34 inf + 0 50.436 * * [simplify]: Extracting #4: cost 117 inf + 1 50.437 * * [simplify]: Extracting #5: cost 168 inf + 176 50.438 * * [simplify]: Extracting #6: cost 164 inf + 851 50.440 * * [simplify]: Extracting #7: cost 84 inf + 17972 50.447 * * [simplify]: Extracting #8: cost 22 inf + 49496 50.457 * * [simplify]: Extracting #9: cost 0 inf + 68747 50.472 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 50.472 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 50.472 * * * * [progress]: [ 171 / 189 ] simplifiying candidate # 50.472 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 50.472 * * [simplify]: iters left: 6 (11 enodes) 50.479 * * [simplify]: iters left: 5 (48 enodes) 50.495 * * [simplify]: iters left: 4 (78 enodes) 50.521 * * [simplify]: iters left: 3 (122 enodes) 50.560 * * [simplify]: iters left: 2 (223 enodes) 50.628 * * [simplify]: iters left: 1 (408 enodes) 50.793 * * [simplify]: Extracting #0: cost 1 inf + 0 50.793 * * [simplify]: Extracting #1: cost 4 inf + 0 50.793 * * [simplify]: Extracting #2: cost 37 inf + 0 50.794 * * [simplify]: Extracting #3: cost 135 inf + 1 50.795 * * [simplify]: Extracting #4: cost 179 inf + 220 50.796 * * [simplify]: Extracting #5: cost 164 inf + 2131 50.800 * * [simplify]: Extracting #6: cost 85 inf + 15047 50.807 * * [simplify]: Extracting #7: cost 22 inf + 54880 50.822 * * [simplify]: Extracting #8: cost 0 inf + 75621 50.836 * * [simplify]: Extracting #9: cost 0 inf + 75008 50.848 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 50.848 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 50.848 * * * * [progress]: [ 172 / 189 ] simplifiying candidate # 50.849 * * * * [progress]: [ 173 / 189 ] simplifiying candidate # 50.849 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 50.849 * * [simplify]: iters left: 6 (11 enodes) 50.853 * * [simplify]: iters left: 5 (51 enodes) 50.863 * * [simplify]: iters left: 4 (87 enodes) 50.892 * * [simplify]: iters left: 3 (146 enodes) 50.925 * * [simplify]: iters left: 2 (263 enodes) 51.008 * * [simplify]: iters left: 1 (485 enodes) 51.266 * * [simplify]: Extracting #0: cost 1 inf + 0 51.266 * * [simplify]: Extracting #1: cost 27 inf + 0 51.267 * * [simplify]: Extracting #2: cost 109 inf + 1 51.269 * * [simplify]: Extracting #3: cost 198 inf + 178 51.271 * * [simplify]: Extracting #4: cost 189 inf + 1807 51.278 * * [simplify]: Extracting #5: cost 91 inf + 13674 51.293 * * [simplify]: Extracting #6: cost 24 inf + 43528 51.315 * * [simplify]: Extracting #7: cost 0 inf + 64461 51.337 * * [simplify]: Extracting #8: cost 0 inf + 64381 51.360 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 51.360 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 51.360 * * * * [progress]: [ 174 / 189 ] simplifiying candidate # 51.360 * [simplify]: Simplifying (sqrt k) 51.360 * * [simplify]: iters left: 1 (2 enodes) 51.361 * * [simplify]: Extracting #0: cost 1 inf + 0 51.361 * * [simplify]: Extracting #1: cost 3 inf + 0 51.361 * * [simplify]: Extracting #2: cost 2 inf + 1 51.361 * * [simplify]: Extracting #3: cost 0 inf + 83 51.361 * [simplify]: Simplified to (sqrt k) 51.361 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 51.362 * * * * [progress]: [ 175 / 189 ] simplifiying candidate # 51.362 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 51.362 * * [simplify]: iters left: 6 (12 enodes) 51.370 * * [simplify]: iters left: 5 (50 enodes) 51.394 * * [simplify]: iters left: 4 (88 enodes) 51.432 * * [simplify]: iters left: 3 (169 enodes) 51.469 * * [simplify]: iters left: 2 (293 enodes) 51.618 * * [simplify]: Extracting #0: cost 1 inf + 0 51.618 * * [simplify]: Extracting #1: cost 34 inf + 0 51.619 * * [simplify]: Extracting #2: cost 101 inf + 1 51.619 * * [simplify]: Extracting #3: cost 101 inf + 50 51.620 * * [simplify]: Extracting #4: cost 91 inf + 844 51.622 * * [simplify]: Extracting #5: cost 34 inf + 27819 51.629 * * [simplify]: Extracting #6: cost 0 inf + 49875 51.636 * * [simplify]: Extracting #7: cost 0 inf + 49311 51.650 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 51.650 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 51.650 * * * * [progress]: [ 176 / 189 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 51.650 * * * * [progress]: [ 177 / 189 ] simplifiying candidate # 51.651 * * * * [progress]: [ 178 / 189 ] simplifiying candidate # 51.651 * [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))))) 51.651 * * [simplify]: iters left: 6 (37 enodes) 51.673 * * [simplify]: iters left: 5 (187 enodes) 51.726 * * [simplify]: iters left: 4 (488 enodes) 51.979 * * [simplify]: Extracting #0: cost 1 inf + 0 51.979 * * [simplify]: Extracting #1: cost 57 inf + 0 51.980 * * [simplify]: Extracting #2: cost 294 inf + 0 51.982 * * [simplify]: Extracting #3: cost 529 inf + 199 51.984 * * [simplify]: Extracting #4: cost 521 inf + 5092 52.002 * * [simplify]: Extracting #5: cost 310 inf + 81150 52.061 * * [simplify]: Extracting #6: cost 37 inf + 225232 52.168 * * [simplify]: Extracting #7: cost 0 inf + 247600 52.274 * * [simplify]: Extracting #8: cost 0 inf + 245527 52.380 * * [simplify]: Extracting #9: cost 0 inf + 245486 52.450 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 52.450 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (/ 1 (sqrt k)))) 52.450 * * * * [progress]: [ 179 / 189 ] simplifiying candidate # 52.451 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.451 * * [simplify]: iters left: 6 (15 enodes) 52.461 * * [simplify]: iters left: 5 (65 enodes) 52.474 * * [simplify]: iters left: 4 (123 enodes) 52.517 * * [simplify]: iters left: 3 (362 enodes) 52.671 * * [simplify]: Extracting #0: cost 1 inf + 0 52.671 * * [simplify]: Extracting #1: cost 37 inf + 0 52.672 * * [simplify]: Extracting #2: cost 214 inf + 1 52.673 * * [simplify]: Extracting #3: cost 359 inf + 976 52.676 * * [simplify]: Extracting #4: cost 248 inf + 22396 52.688 * * [simplify]: Extracting #5: cost 36 inf + 77801 52.702 * * [simplify]: Extracting #6: cost 1 inf + 88796 52.718 * * [simplify]: Extracting #7: cost 0 inf + 89336 52.733 * * [simplify]: Extracting #8: cost 0 inf + 89253 52.756 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 52.757 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 52.757 * * * * [progress]: [ 180 / 189 ] simplifiying candidate # 52.757 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.757 * * [simplify]: iters left: 6 (16 enodes) 52.767 * * [simplify]: iters left: 5 (67 enodes) 52.791 * * [simplify]: iters left: 4 (134 enodes) 52.825 * * [simplify]: iters left: 3 (407 enodes) 52.996 * * [simplify]: Extracting #0: cost 1 inf + 0 52.996 * * [simplify]: Extracting #1: cost 39 inf + 0 52.996 * * [simplify]: Extracting #2: cost 241 inf + 72 53.002 * * [simplify]: Extracting #3: cost 449 inf + 888 53.009 * * [simplify]: Extracting #4: cost 283 inf + 39118 53.044 * * [simplify]: Extracting #5: cost 24 inf + 116222 53.087 * * [simplify]: Extracting #6: cost 0 inf + 121984 53.109 * * [simplify]: Extracting #7: cost 0 inf + 121983 53.133 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 53.133 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (/ 1 (sqrt k)))) 53.133 * * * * [progress]: [ 181 / 189 ] simplifiying candidate # 53.133 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 53.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.133 * * * * [progress]: [ 182 / 189 ] simplifiying candidate # 53.134 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 53.134 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.134 * * * * [progress]: [ 183 / 189 ] simplifiying candidate # 53.134 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 53.134 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 53.134 * * * * [progress]: [ 184 / 189 ] simplifiying candidate # 53.134 * [simplify]: Simplifying (* 2 (* n PI)) 53.134 * * [simplify]: iters left: 4 (5 enodes) 53.136 * * [simplify]: iters left: 3 (19 enodes) 53.139 * * [simplify]: iters left: 2 (27 enodes) 53.143 * * [simplify]: iters left: 1 (32 enodes) 53.148 * * [simplify]: Extracting #0: cost 1 inf + 0 53.148 * * [simplify]: Extracting #1: cost 8 inf + 0 53.148 * * [simplify]: Extracting #2: cost 7 inf + 45 53.148 * * [simplify]: Extracting #3: cost 0 inf + 421 53.148 * [simplify]: Simplified to (* (* PI n) 2) 53.148 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.148 * * * * [progress]: [ 185 / 189 ] simplifiying candidate # 53.149 * [simplify]: Simplifying (* 2 (* n PI)) 53.149 * * [simplify]: iters left: 4 (5 enodes) 53.150 * * [simplify]: iters left: 3 (19 enodes) 53.153 * * [simplify]: iters left: 2 (27 enodes) 53.158 * * [simplify]: iters left: 1 (32 enodes) 53.162 * * [simplify]: Extracting #0: cost 1 inf + 0 53.162 * * [simplify]: Extracting #1: cost 8 inf + 0 53.162 * * [simplify]: Extracting #2: cost 7 inf + 45 53.163 * * [simplify]: Extracting #3: cost 0 inf + 421 53.163 * [simplify]: Simplified to (* (* PI n) 2) 53.163 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.163 * * * * [progress]: [ 186 / 189 ] simplifiying candidate # 53.163 * [simplify]: Simplifying (* 2 (* n PI)) 53.163 * * [simplify]: iters left: 4 (5 enodes) 53.166 * * [simplify]: iters left: 3 (19 enodes) 53.173 * * [simplify]: iters left: 2 (27 enodes) 53.181 * * [simplify]: iters left: 1 (32 enodes) 53.189 * * [simplify]: Extracting #0: cost 1 inf + 0 53.189 * * [simplify]: Extracting #1: cost 8 inf + 0 53.190 * * [simplify]: Extracting #2: cost 7 inf + 45 53.190 * * [simplify]: Extracting #3: cost 0 inf + 421 53.190 * [simplify]: Simplified to (* (* PI n) 2) 53.190 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 53.190 * * * * [progress]: [ 187 / 189 ] simplifiying candidate # 53.191 * [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)))))))))))))))))))))) 53.191 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.191 * * * * [progress]: [ 188 / 189 ] simplifiying candidate # 53.192 * [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)))))))) 53.192 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.192 * * * * [progress]: [ 189 / 189 ] simplifiying candidate # 53.192 * [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)))))))))))) 53.192 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 53.193 * * * [progress]: adding candidates to table 55.490 * * [progress]: iteration 3 / 4 55.490 * * * [progress]: picking best candidate 55.545 * * * * [pick]: Picked # 55.546 * * * [progress]: localizing error 55.599 * * * [progress]: generating rewritten candidates 55.599 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 55.631 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 55.645 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 55.687 * * * [progress]: generating series expansions 55.687 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 55.689 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 55.689 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 55.689 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 55.689 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 55.689 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 55.689 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 55.689 * [taylor]: Taking taylor expansion of 1/2 in k 55.689 * [backup-simplify]: Simplify 1/2 into 1/2 55.689 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.689 * [taylor]: Taking taylor expansion of 1 in k 55.689 * [backup-simplify]: Simplify 1 into 1 55.689 * [taylor]: Taking taylor expansion of k in k 55.689 * [backup-simplify]: Simplify 0 into 0 55.689 * [backup-simplify]: Simplify 1 into 1 55.689 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 55.689 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 55.689 * [taylor]: Taking taylor expansion of 2 in k 55.689 * [backup-simplify]: Simplify 2 into 2 55.689 * [taylor]: Taking taylor expansion of (* n PI) in k 55.689 * [taylor]: Taking taylor expansion of n in k 55.689 * [backup-simplify]: Simplify n into n 55.689 * [taylor]: Taking taylor expansion of PI in k 55.689 * [backup-simplify]: Simplify PI into PI 55.689 * [backup-simplify]: Simplify (* n PI) into (* n PI) 55.689 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 55.690 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 55.690 * [backup-simplify]: Simplify (- 0) into 0 55.691 * [backup-simplify]: Simplify (+ 1 0) into 1 55.691 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.691 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 55.691 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 55.691 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.691 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.691 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.691 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.691 * [taylor]: Taking taylor expansion of 1/2 in n 55.691 * [backup-simplify]: Simplify 1/2 into 1/2 55.692 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.692 * [taylor]: Taking taylor expansion of 1 in n 55.692 * [backup-simplify]: Simplify 1 into 1 55.692 * [taylor]: Taking taylor expansion of k in n 55.692 * [backup-simplify]: Simplify k into k 55.692 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.692 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.692 * [taylor]: Taking taylor expansion of 2 in n 55.692 * [backup-simplify]: Simplify 2 into 2 55.692 * [taylor]: Taking taylor expansion of (* n PI) in n 55.692 * [taylor]: Taking taylor expansion of n in n 55.692 * [backup-simplify]: Simplify 0 into 0 55.692 * [backup-simplify]: Simplify 1 into 1 55.692 * [taylor]: Taking taylor expansion of PI in n 55.692 * [backup-simplify]: Simplify PI into PI 55.692 * [backup-simplify]: Simplify (* 0 PI) into 0 55.693 * [backup-simplify]: Simplify (* 2 0) into 0 55.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.696 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.697 * [backup-simplify]: Simplify (- k) into (- k) 55.697 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.697 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.699 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.700 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.701 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.701 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.701 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.701 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.701 * [taylor]: Taking taylor expansion of 1/2 in n 55.701 * [backup-simplify]: Simplify 1/2 into 1/2 55.702 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.702 * [taylor]: Taking taylor expansion of 1 in n 55.702 * [backup-simplify]: Simplify 1 into 1 55.702 * [taylor]: Taking taylor expansion of k in n 55.702 * [backup-simplify]: Simplify k into k 55.702 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.702 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.702 * [taylor]: Taking taylor expansion of 2 in n 55.702 * [backup-simplify]: Simplify 2 into 2 55.702 * [taylor]: Taking taylor expansion of (* n PI) in n 55.702 * [taylor]: Taking taylor expansion of n in n 55.702 * [backup-simplify]: Simplify 0 into 0 55.702 * [backup-simplify]: Simplify 1 into 1 55.702 * [taylor]: Taking taylor expansion of PI in n 55.702 * [backup-simplify]: Simplify PI into PI 55.702 * [backup-simplify]: Simplify (* 0 PI) into 0 55.703 * [backup-simplify]: Simplify (* 2 0) into 0 55.704 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.706 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.707 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.707 * [backup-simplify]: Simplify (- k) into (- k) 55.707 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.707 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.710 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.711 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.712 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.712 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 55.712 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 55.712 * [taylor]: Taking taylor expansion of 1/2 in k 55.712 * [backup-simplify]: Simplify 1/2 into 1/2 55.712 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 55.712 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.712 * [taylor]: Taking taylor expansion of 1 in k 55.712 * [backup-simplify]: Simplify 1 into 1 55.712 * [taylor]: Taking taylor expansion of k in k 55.712 * [backup-simplify]: Simplify 0 into 0 55.712 * [backup-simplify]: Simplify 1 into 1 55.712 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 55.712 * [taylor]: Taking taylor expansion of (log n) in k 55.712 * [taylor]: Taking taylor expansion of n in k 55.712 * [backup-simplify]: Simplify n into n 55.712 * [backup-simplify]: Simplify (log n) into (log n) 55.712 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.712 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.712 * [taylor]: Taking taylor expansion of 2 in k 55.712 * [backup-simplify]: Simplify 2 into 2 55.712 * [taylor]: Taking taylor expansion of PI in k 55.712 * [backup-simplify]: Simplify PI into PI 55.712 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.713 * [backup-simplify]: Simplify (- 0) into 0 55.714 * [backup-simplify]: Simplify (+ 1 0) into 1 55.714 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.715 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 55.715 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 55.716 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.717 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.718 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.719 * [backup-simplify]: Simplify (- 0) into 0 55.719 * [backup-simplify]: Simplify (+ 0 0) into 0 55.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 55.721 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.721 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 55.722 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.722 * [taylor]: Taking taylor expansion of 0 in k 55.722 * [backup-simplify]: Simplify 0 into 0 55.722 * [backup-simplify]: Simplify 0 into 0 55.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 55.727 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.729 * [backup-simplify]: Simplify (+ 0 0) into 0 55.729 * [backup-simplify]: Simplify (- 1) into -1 55.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.730 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 55.731 * [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))))) 55.733 * [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))))))) 55.735 * [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))))))) 55.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.738 * [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 55.738 * [backup-simplify]: Simplify (- 0) into 0 55.738 * [backup-simplify]: Simplify (+ 0 0) into 0 55.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 55.740 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.741 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.742 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.742 * [taylor]: Taking taylor expansion of 0 in k 55.742 * [backup-simplify]: Simplify 0 into 0 55.742 * [backup-simplify]: Simplify 0 into 0 55.742 * [backup-simplify]: Simplify 0 into 0 55.743 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 55.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.745 * [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 55.746 * [backup-simplify]: Simplify (+ 0 0) into 0 55.746 * [backup-simplify]: Simplify (- 0) into 0 55.746 * [backup-simplify]: Simplify (+ 0 0) into 0 55.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.754 * [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))))) 55.759 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 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))))) 55.768 * [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))))) 55.768 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 55.769 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 55.769 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 55.769 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 55.769 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 55.769 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 55.769 * [taylor]: Taking taylor expansion of 1/2 in k 55.769 * [backup-simplify]: Simplify 1/2 into 1/2 55.769 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.769 * [taylor]: Taking taylor expansion of 1 in k 55.769 * [backup-simplify]: Simplify 1 into 1 55.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.769 * [taylor]: Taking taylor expansion of k in k 55.769 * [backup-simplify]: Simplify 0 into 0 55.769 * [backup-simplify]: Simplify 1 into 1 55.769 * [backup-simplify]: Simplify (/ 1 1) into 1 55.769 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 55.769 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 55.769 * [taylor]: Taking taylor expansion of 2 in k 55.769 * [backup-simplify]: Simplify 2 into 2 55.769 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.769 * [taylor]: Taking taylor expansion of PI in k 55.769 * [backup-simplify]: Simplify PI into PI 55.770 * [taylor]: Taking taylor expansion of n in k 55.770 * [backup-simplify]: Simplify n into n 55.770 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.770 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 55.770 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 55.770 * [backup-simplify]: Simplify (- 1) into -1 55.771 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.771 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 55.771 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 55.771 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 55.771 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.771 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.771 * [taylor]: Taking taylor expansion of 1/2 in n 55.771 * [backup-simplify]: Simplify 1/2 into 1/2 55.771 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.771 * [taylor]: Taking taylor expansion of 1 in n 55.771 * [backup-simplify]: Simplify 1 into 1 55.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.771 * [taylor]: Taking taylor expansion of k in n 55.771 * [backup-simplify]: Simplify k into k 55.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.771 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.771 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.771 * [taylor]: Taking taylor expansion of 2 in n 55.771 * [backup-simplify]: Simplify 2 into 2 55.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.771 * [taylor]: Taking taylor expansion of PI in n 55.771 * [backup-simplify]: Simplify PI into PI 55.771 * [taylor]: Taking taylor expansion of n in n 55.771 * [backup-simplify]: Simplify 0 into 0 55.771 * [backup-simplify]: Simplify 1 into 1 55.772 * [backup-simplify]: Simplify (/ PI 1) into PI 55.772 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.773 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.773 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.773 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.773 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.775 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.775 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 55.775 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 55.775 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 55.775 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 55.775 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 55.775 * [taylor]: Taking taylor expansion of 1/2 in n 55.775 * [backup-simplify]: Simplify 1/2 into 1/2 55.775 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 55.775 * [taylor]: Taking taylor expansion of 1 in n 55.775 * [backup-simplify]: Simplify 1 into 1 55.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.775 * [taylor]: Taking taylor expansion of k in n 55.775 * [backup-simplify]: Simplify k into k 55.775 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.776 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 55.776 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.776 * [taylor]: Taking taylor expansion of 2 in n 55.776 * [backup-simplify]: Simplify 2 into 2 55.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.776 * [taylor]: Taking taylor expansion of PI in n 55.776 * [backup-simplify]: Simplify PI into PI 55.776 * [taylor]: Taking taylor expansion of n in n 55.776 * [backup-simplify]: Simplify 0 into 0 55.776 * [backup-simplify]: Simplify 1 into 1 55.776 * [backup-simplify]: Simplify (/ PI 1) into PI 55.776 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.777 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.777 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 55.777 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 55.777 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 55.778 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.778 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 55.779 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 55.779 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 55.779 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 55.779 * [taylor]: Taking taylor expansion of 1/2 in k 55.779 * [backup-simplify]: Simplify 1/2 into 1/2 55.779 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 55.779 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 55.779 * [taylor]: Taking taylor expansion of 1 in k 55.779 * [backup-simplify]: Simplify 1 into 1 55.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.779 * [taylor]: Taking taylor expansion of k in k 55.779 * [backup-simplify]: Simplify 0 into 0 55.779 * [backup-simplify]: Simplify 1 into 1 55.780 * [backup-simplify]: Simplify (/ 1 1) into 1 55.780 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 55.780 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.780 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.780 * [taylor]: Taking taylor expansion of 2 in k 55.780 * [backup-simplify]: Simplify 2 into 2 55.780 * [taylor]: Taking taylor expansion of PI in k 55.780 * [backup-simplify]: Simplify PI into PI 55.780 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.781 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.781 * [taylor]: Taking taylor expansion of (log n) in k 55.781 * [taylor]: Taking taylor expansion of n in k 55.781 * [backup-simplify]: Simplify n into n 55.781 * [backup-simplify]: Simplify (log n) into (log n) 55.781 * [backup-simplify]: Simplify (- 1) into -1 55.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.781 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 55.782 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 55.783 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 55.783 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 55.784 * [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))))) 55.785 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 55.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.786 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.787 * [backup-simplify]: Simplify (- 0) into 0 55.787 * [backup-simplify]: Simplify (+ 0 0) into 0 55.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 55.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.789 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 55.790 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.790 * [taylor]: Taking taylor expansion of 0 in k 55.790 * [backup-simplify]: Simplify 0 into 0 55.790 * [backup-simplify]: Simplify 0 into 0 55.790 * [backup-simplify]: Simplify 0 into 0 55.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.793 * [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 55.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.794 * [backup-simplify]: Simplify (- 0) into 0 55.794 * [backup-simplify]: Simplify (+ 0 0) into 0 55.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 55.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.796 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 55.798 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.798 * [taylor]: Taking taylor expansion of 0 in k 55.798 * [backup-simplify]: Simplify 0 into 0 55.798 * [backup-simplify]: Simplify 0 into 0 55.798 * [backup-simplify]: Simplify 0 into 0 55.798 * [backup-simplify]: Simplify 0 into 0 55.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.799 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.802 * [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 55.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.803 * [backup-simplify]: Simplify (- 0) into 0 55.803 * [backup-simplify]: Simplify (+ 0 0) into 0 55.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 55.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 55.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 55.807 * [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 55.807 * [taylor]: Taking taylor expansion of 0 in k 55.807 * [backup-simplify]: Simplify 0 into 0 55.808 * [backup-simplify]: Simplify 0 into 0 55.809 * [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)))))) 55.809 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 55.809 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 55.809 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 55.809 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 55.809 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 55.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 55.810 * [taylor]: Taking taylor expansion of 1/2 in k 55.810 * [backup-simplify]: Simplify 1/2 into 1/2 55.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.810 * [taylor]: Taking taylor expansion of k in k 55.810 * [backup-simplify]: Simplify 0 into 0 55.810 * [backup-simplify]: Simplify 1 into 1 55.810 * [backup-simplify]: Simplify (/ 1 1) into 1 55.810 * [taylor]: Taking taylor expansion of 1 in k 55.810 * [backup-simplify]: Simplify 1 into 1 55.810 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 55.810 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 55.810 * [taylor]: Taking taylor expansion of -2 in k 55.810 * [backup-simplify]: Simplify -2 into -2 55.810 * [taylor]: Taking taylor expansion of (/ PI n) in k 55.810 * [taylor]: Taking taylor expansion of PI in k 55.810 * [backup-simplify]: Simplify PI into PI 55.810 * [taylor]: Taking taylor expansion of n in k 55.810 * [backup-simplify]: Simplify n into n 55.810 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 55.810 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 55.811 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 55.811 * [backup-simplify]: Simplify (+ 1 0) into 1 55.811 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.812 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 55.812 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 55.812 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 55.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 55.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 55.812 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 55.812 * [taylor]: Taking taylor expansion of 1/2 in n 55.812 * [backup-simplify]: Simplify 1/2 into 1/2 55.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.812 * [taylor]: Taking taylor expansion of k in n 55.812 * [backup-simplify]: Simplify k into k 55.812 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.812 * [taylor]: Taking taylor expansion of 1 in n 55.812 * [backup-simplify]: Simplify 1 into 1 55.812 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.812 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.812 * [taylor]: Taking taylor expansion of -2 in n 55.812 * [backup-simplify]: Simplify -2 into -2 55.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.812 * [taylor]: Taking taylor expansion of PI in n 55.812 * [backup-simplify]: Simplify PI into PI 55.812 * [taylor]: Taking taylor expansion of n in n 55.812 * [backup-simplify]: Simplify 0 into 0 55.812 * [backup-simplify]: Simplify 1 into 1 55.813 * [backup-simplify]: Simplify (/ PI 1) into PI 55.813 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.814 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.814 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.814 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 55.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.817 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.818 * [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))))) 55.818 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 55.818 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 55.818 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 55.818 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 55.818 * [taylor]: Taking taylor expansion of 1/2 in n 55.818 * [backup-simplify]: Simplify 1/2 into 1/2 55.818 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 55.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.818 * [taylor]: Taking taylor expansion of k in n 55.818 * [backup-simplify]: Simplify k into k 55.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.818 * [taylor]: Taking taylor expansion of 1 in n 55.818 * [backup-simplify]: Simplify 1 into 1 55.818 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 55.818 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.818 * [taylor]: Taking taylor expansion of -2 in n 55.818 * [backup-simplify]: Simplify -2 into -2 55.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.818 * [taylor]: Taking taylor expansion of PI in n 55.818 * [backup-simplify]: Simplify PI into PI 55.818 * [taylor]: Taking taylor expansion of n in n 55.818 * [backup-simplify]: Simplify 0 into 0 55.818 * [backup-simplify]: Simplify 1 into 1 55.819 * [backup-simplify]: Simplify (/ PI 1) into PI 55.819 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.820 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.821 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 55.821 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 55.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.823 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 55.824 * [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))))) 55.825 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 55.825 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 55.825 * [taylor]: Taking taylor expansion of 1/2 in k 55.825 * [backup-simplify]: Simplify 1/2 into 1/2 55.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 55.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 55.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.825 * [taylor]: Taking taylor expansion of k in k 55.825 * [backup-simplify]: Simplify 0 into 0 55.825 * [backup-simplify]: Simplify 1 into 1 55.825 * [backup-simplify]: Simplify (/ 1 1) into 1 55.825 * [taylor]: Taking taylor expansion of 1 in k 55.825 * [backup-simplify]: Simplify 1 into 1 55.825 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 55.825 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 55.825 * [taylor]: Taking taylor expansion of (* -2 PI) in k 55.825 * [taylor]: Taking taylor expansion of -2 in k 55.825 * [backup-simplify]: Simplify -2 into -2 55.825 * [taylor]: Taking taylor expansion of PI in k 55.825 * [backup-simplify]: Simplify PI into PI 55.826 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.827 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 55.827 * [taylor]: Taking taylor expansion of (log n) in k 55.827 * [taylor]: Taking taylor expansion of n in k 55.827 * [backup-simplify]: Simplify n into n 55.827 * [backup-simplify]: Simplify (log n) into (log n) 55.828 * [backup-simplify]: Simplify (+ 1 0) into 1 55.828 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 55.829 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 55.836 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 55.837 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 55.838 * [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))))) 55.839 * [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))))) 55.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.840 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 55.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 55.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.841 * [backup-simplify]: Simplify (+ 0 0) into 0 55.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 55.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.843 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 55.844 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.844 * [taylor]: Taking taylor expansion of 0 in k 55.844 * [backup-simplify]: Simplify 0 into 0 55.844 * [backup-simplify]: Simplify 0 into 0 55.844 * [backup-simplify]: Simplify 0 into 0 55.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.845 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 55.847 * [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 55.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.848 * [backup-simplify]: Simplify (+ 0 0) into 0 55.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 55.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.850 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 55.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.852 * [taylor]: Taking taylor expansion of 0 in k 55.852 * [backup-simplify]: Simplify 0 into 0 55.852 * [backup-simplify]: Simplify 0 into 0 55.852 * [backup-simplify]: Simplify 0 into 0 55.852 * [backup-simplify]: Simplify 0 into 0 55.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.853 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.857 * [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 55.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.857 * [backup-simplify]: Simplify (+ 0 0) into 0 55.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 55.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 55.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 55.862 * [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 55.862 * [taylor]: Taking taylor expansion of 0 in k 55.862 * [backup-simplify]: Simplify 0 into 0 55.862 * [backup-simplify]: Simplify 0 into 0 55.863 * [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)))))) 55.863 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 55.863 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 55.863 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 55.863 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.863 * [taylor]: Taking taylor expansion of 2 in n 55.863 * [backup-simplify]: Simplify 2 into 2 55.863 * [taylor]: Taking taylor expansion of (* n PI) in n 55.863 * [taylor]: Taking taylor expansion of n in n 55.863 * [backup-simplify]: Simplify 0 into 0 55.863 * [backup-simplify]: Simplify 1 into 1 55.863 * [taylor]: Taking taylor expansion of PI in n 55.863 * [backup-simplify]: Simplify PI into PI 55.863 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.863 * [taylor]: Taking taylor expansion of 2 in n 55.863 * [backup-simplify]: Simplify 2 into 2 55.863 * [taylor]: Taking taylor expansion of (* n PI) in n 55.863 * [taylor]: Taking taylor expansion of n in n 55.863 * [backup-simplify]: Simplify 0 into 0 55.863 * [backup-simplify]: Simplify 1 into 1 55.863 * [taylor]: Taking taylor expansion of PI in n 55.863 * [backup-simplify]: Simplify PI into PI 55.864 * [backup-simplify]: Simplify (* 0 PI) into 0 55.864 * [backup-simplify]: Simplify (* 2 0) into 0 55.864 * [backup-simplify]: Simplify 0 into 0 55.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.866 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.866 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.867 * [backup-simplify]: Simplify 0 into 0 55.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.869 * [backup-simplify]: Simplify 0 into 0 55.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 55.870 * [backup-simplify]: Simplify 0 into 0 55.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 55.872 * [backup-simplify]: Simplify 0 into 0 55.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 55.874 * [backup-simplify]: Simplify 0 into 0 55.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 55.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 55.877 * [backup-simplify]: Simplify 0 into 0 55.878 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 55.878 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 55.878 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 55.878 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.878 * [taylor]: Taking taylor expansion of 2 in n 55.878 * [backup-simplify]: Simplify 2 into 2 55.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.878 * [taylor]: Taking taylor expansion of PI in n 55.878 * [backup-simplify]: Simplify PI into PI 55.878 * [taylor]: Taking taylor expansion of n in n 55.878 * [backup-simplify]: Simplify 0 into 0 55.878 * [backup-simplify]: Simplify 1 into 1 55.879 * [backup-simplify]: Simplify (/ PI 1) into PI 55.879 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 55.879 * [taylor]: Taking taylor expansion of 2 in n 55.879 * [backup-simplify]: Simplify 2 into 2 55.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.879 * [taylor]: Taking taylor expansion of PI in n 55.879 * [backup-simplify]: Simplify PI into PI 55.879 * [taylor]: Taking taylor expansion of n in n 55.879 * [backup-simplify]: Simplify 0 into 0 55.879 * [backup-simplify]: Simplify 1 into 1 55.879 * [backup-simplify]: Simplify (/ PI 1) into PI 55.880 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.880 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.881 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.881 * [backup-simplify]: Simplify 0 into 0 55.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.882 * [backup-simplify]: Simplify 0 into 0 55.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.883 * [backup-simplify]: Simplify 0 into 0 55.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.885 * [backup-simplify]: Simplify 0 into 0 55.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.886 * [backup-simplify]: Simplify 0 into 0 55.887 * [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 55.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.888 * [backup-simplify]: Simplify 0 into 0 55.888 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 55.888 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 55.889 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 55.889 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.889 * [taylor]: Taking taylor expansion of -2 in n 55.889 * [backup-simplify]: Simplify -2 into -2 55.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.889 * [taylor]: Taking taylor expansion of PI in n 55.889 * [backup-simplify]: Simplify PI into PI 55.889 * [taylor]: Taking taylor expansion of n in n 55.889 * [backup-simplify]: Simplify 0 into 0 55.889 * [backup-simplify]: Simplify 1 into 1 55.889 * [backup-simplify]: Simplify (/ PI 1) into PI 55.889 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 55.889 * [taylor]: Taking taylor expansion of -2 in n 55.889 * [backup-simplify]: Simplify -2 into -2 55.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 55.889 * [taylor]: Taking taylor expansion of PI in n 55.889 * [backup-simplify]: Simplify PI into PI 55.889 * [taylor]: Taking taylor expansion of n in n 55.889 * [backup-simplify]: Simplify 0 into 0 55.889 * [backup-simplify]: Simplify 1 into 1 55.889 * [backup-simplify]: Simplify (/ PI 1) into PI 55.890 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.890 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 55.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 55.891 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 55.891 * [backup-simplify]: Simplify 0 into 0 55.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.893 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 55.893 * [backup-simplify]: Simplify 0 into 0 55.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.895 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 55.895 * [backup-simplify]: Simplify 0 into 0 55.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.898 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.898 * [backup-simplify]: Simplify 0 into 0 55.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.900 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 55.900 * [backup-simplify]: Simplify 0 into 0 55.902 * [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 55.903 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 55.903 * [backup-simplify]: Simplify 0 into 0 55.904 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 55.904 * * * * [progress]: [ 3 / 3 ] generating series at (2) 55.905 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 55.905 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 55.905 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 55.905 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 55.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 55.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 55.905 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 55.905 * [taylor]: Taking taylor expansion of 1/2 in k 55.905 * [backup-simplify]: Simplify 1/2 into 1/2 55.905 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.905 * [taylor]: Taking taylor expansion of 1 in k 55.905 * [backup-simplify]: Simplify 1 into 1 55.905 * [taylor]: Taking taylor expansion of k in k 55.905 * [backup-simplify]: Simplify 0 into 0 55.905 * [backup-simplify]: Simplify 1 into 1 55.905 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 55.905 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 55.905 * [taylor]: Taking taylor expansion of 2 in k 55.905 * [backup-simplify]: Simplify 2 into 2 55.905 * [taylor]: Taking taylor expansion of (* n PI) in k 55.905 * [taylor]: Taking taylor expansion of n in k 55.905 * [backup-simplify]: Simplify n into n 55.905 * [taylor]: Taking taylor expansion of PI in k 55.905 * [backup-simplify]: Simplify PI into PI 55.906 * [backup-simplify]: Simplify (* n PI) into (* n PI) 55.906 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 55.906 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 55.906 * [backup-simplify]: Simplify (- 0) into 0 55.907 * [backup-simplify]: Simplify (+ 1 0) into 1 55.907 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 55.907 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 55.907 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 55.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 55.907 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.907 * [taylor]: Taking taylor expansion of k in k 55.907 * [backup-simplify]: Simplify 0 into 0 55.907 * [backup-simplify]: Simplify 1 into 1 55.908 * [backup-simplify]: Simplify (/ 1 1) into 1 55.908 * [backup-simplify]: Simplify (sqrt 0) into 0 55.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.910 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 55.910 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.910 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.910 * [taylor]: Taking taylor expansion of 1/2 in n 55.910 * [backup-simplify]: Simplify 1/2 into 1/2 55.910 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.910 * [taylor]: Taking taylor expansion of 1 in n 55.910 * [backup-simplify]: Simplify 1 into 1 55.910 * [taylor]: Taking taylor expansion of k in n 55.910 * [backup-simplify]: Simplify k into k 55.910 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.910 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.910 * [taylor]: Taking taylor expansion of 2 in n 55.910 * [backup-simplify]: Simplify 2 into 2 55.910 * [taylor]: Taking taylor expansion of (* n PI) in n 55.910 * [taylor]: Taking taylor expansion of n in n 55.910 * [backup-simplify]: Simplify 0 into 0 55.910 * [backup-simplify]: Simplify 1 into 1 55.910 * [taylor]: Taking taylor expansion of PI in n 55.910 * [backup-simplify]: Simplify PI into PI 55.911 * [backup-simplify]: Simplify (* 0 PI) into 0 55.911 * [backup-simplify]: Simplify (* 2 0) into 0 55.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.915 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.915 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.915 * [backup-simplify]: Simplify (- k) into (- k) 55.915 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.915 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.917 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.918 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 55.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.918 * [taylor]: Taking taylor expansion of k in n 55.918 * [backup-simplify]: Simplify k into k 55.918 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.918 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 55.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 55.918 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 55.918 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 55.918 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 55.918 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 55.918 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 55.918 * [taylor]: Taking taylor expansion of 1/2 in n 55.918 * [backup-simplify]: Simplify 1/2 into 1/2 55.918 * [taylor]: Taking taylor expansion of (- 1 k) in n 55.918 * [taylor]: Taking taylor expansion of 1 in n 55.918 * [backup-simplify]: Simplify 1 into 1 55.918 * [taylor]: Taking taylor expansion of k in n 55.918 * [backup-simplify]: Simplify k into k 55.918 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 55.918 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 55.918 * [taylor]: Taking taylor expansion of 2 in n 55.918 * [backup-simplify]: Simplify 2 into 2 55.918 * [taylor]: Taking taylor expansion of (* n PI) in n 55.918 * [taylor]: Taking taylor expansion of n in n 55.918 * [backup-simplify]: Simplify 0 into 0 55.918 * [backup-simplify]: Simplify 1 into 1 55.918 * [taylor]: Taking taylor expansion of PI in n 55.918 * [backup-simplify]: Simplify PI into PI 55.918 * [backup-simplify]: Simplify (* 0 PI) into 0 55.919 * [backup-simplify]: Simplify (* 2 0) into 0 55.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 55.921 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 55.921 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.921 * [backup-simplify]: Simplify (- k) into (- k) 55.921 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 55.921 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 55.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.923 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 55.924 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 55.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 55.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n 55.924 * [taylor]: Taking taylor expansion of k in n 55.924 * [backup-simplify]: Simplify k into k 55.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 55.924 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 55.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 55.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 55.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 55.925 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 55.925 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 55.925 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 55.925 * [taylor]: Taking taylor expansion of 1/2 in k 55.925 * [backup-simplify]: Simplify 1/2 into 1/2 55.925 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 55.925 * [taylor]: Taking taylor expansion of (- 1 k) in k 55.925 * [taylor]: Taking taylor expansion of 1 in k 55.925 * [backup-simplify]: Simplify 1 into 1 55.925 * [taylor]: Taking taylor expansion of k in k 55.925 * [backup-simplify]: Simplify 0 into 0 55.925 * [backup-simplify]: Simplify 1 into 1 55.925 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 55.926 * [taylor]: Taking taylor expansion of (log n) in k 55.926 * [taylor]: Taking taylor expansion of n in k 55.926 * [backup-simplify]: Simplify n into n 55.926 * [backup-simplify]: Simplify (log n) into (log n) 55.926 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 55.926 * [taylor]: Taking taylor expansion of (* 2 PI) in k 55.926 * [taylor]: Taking taylor expansion of 2 in k 55.926 * [backup-simplify]: Simplify 2 into 2 55.926 * [taylor]: Taking taylor expansion of PI in k 55.926 * [backup-simplify]: Simplify PI into PI 55.926 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 55.927 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 55.927 * [backup-simplify]: Simplify (- 0) into 0 55.927 * [backup-simplify]: Simplify (+ 1 0) into 1 55.928 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.928 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 55.929 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 55.930 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 55.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 55.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 55.930 * [taylor]: Taking taylor expansion of k in k 55.930 * [backup-simplify]: Simplify 0 into 0 55.930 * [backup-simplify]: Simplify 1 into 1 55.930 * [backup-simplify]: Simplify (/ 1 1) into 1 55.930 * [backup-simplify]: Simplify (sqrt 0) into 0 55.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 55.932 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 55.932 * [backup-simplify]: Simplify 0 into 0 55.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 55.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 55.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.934 * [backup-simplify]: Simplify (- 0) into 0 55.934 * [backup-simplify]: Simplify (+ 0 0) into 0 55.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 55.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.941 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 55.943 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 55.944 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 55.944 * [taylor]: Taking taylor expansion of 0 in k 55.944 * [backup-simplify]: Simplify 0 into 0 55.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 55.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 55.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 55.946 * [backup-simplify]: Simplify (+ 0 0) into 0 55.946 * [backup-simplify]: Simplify (- 1) into -1 55.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 55.947 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 55.948 * [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))))) 55.950 * [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))))))) 55.952 * [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))))))) 55.953 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 55.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 55.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 55.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 55.957 * [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 55.957 * [backup-simplify]: Simplify (- 0) into 0 55.957 * [backup-simplify]: Simplify (+ 0 0) into 0 55.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 55.959 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.961 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 55.962 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 55.962 * [taylor]: Taking taylor expansion of 0 in k 55.962 * [backup-simplify]: Simplify 0 into 0 55.962 * [backup-simplify]: Simplify 0 into 0 55.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 55.964 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 55.965 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 55.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 55.967 * [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 55.968 * [backup-simplify]: Simplify (+ 0 0) into 0 55.968 * [backup-simplify]: Simplify (- 0) into 0 55.968 * [backup-simplify]: Simplify (+ 0 0) into 0 55.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 55.973 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 55.978 * [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)))))))) 55.981 * [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)))))))) 55.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 55.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 55.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 55.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 55.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 55.986 * [backup-simplify]: Simplify (- 0) into 0 55.987 * [backup-simplify]: Simplify (+ 0 0) into 0 55.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 55.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 55.989 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 55.991 * [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 55.992 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 55.992 * [taylor]: Taking taylor expansion of 0 in k 55.992 * [backup-simplify]: Simplify 0 into 0 55.992 * [backup-simplify]: Simplify 0 into 0 55.992 * [backup-simplify]: Simplify 0 into 0 55.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 55.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 55.996 * [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 55.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 56.001 * [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 56.002 * [backup-simplify]: Simplify (+ 0 0) into 0 56.002 * [backup-simplify]: Simplify (- 0) into 0 56.003 * [backup-simplify]: Simplify (+ 0 0) into 0 56.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 56.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 56.014 * [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))))))) 56.029 * [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)))))))))))))) 56.041 * [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)))))))))))))) 56.052 * [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)))))))))))))))))))))) 56.052 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (pow (/ 1 k) -1/2)) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 56.052 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 56.052 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 56.052 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 56.052 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 56.052 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 56.052 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 56.052 * [taylor]: Taking taylor expansion of 1/2 in k 56.052 * [backup-simplify]: Simplify 1/2 into 1/2 56.052 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 56.052 * [taylor]: Taking taylor expansion of 1 in k 56.052 * [backup-simplify]: Simplify 1 into 1 56.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.052 * [taylor]: Taking taylor expansion of k in k 56.053 * [backup-simplify]: Simplify 0 into 0 56.053 * [backup-simplify]: Simplify 1 into 1 56.053 * [backup-simplify]: Simplify (/ 1 1) into 1 56.053 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 56.053 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 56.053 * [taylor]: Taking taylor expansion of 2 in k 56.053 * [backup-simplify]: Simplify 2 into 2 56.053 * [taylor]: Taking taylor expansion of (/ PI n) in k 56.053 * [taylor]: Taking taylor expansion of PI in k 56.053 * [backup-simplify]: Simplify PI into PI 56.053 * [taylor]: Taking taylor expansion of n in k 56.053 * [backup-simplify]: Simplify n into n 56.053 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 56.053 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 56.053 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 56.053 * [backup-simplify]: Simplify (- 1) into -1 56.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 56.054 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 56.054 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 56.054 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 56.054 * [taylor]: Taking taylor expansion of (sqrt k) in k 56.054 * [taylor]: Taking taylor expansion of k in k 56.054 * [backup-simplify]: Simplify 0 into 0 56.054 * [backup-simplify]: Simplify 1 into 1 56.054 * [backup-simplify]: Simplify (sqrt 0) into 0 56.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 56.055 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 56.055 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 56.055 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 56.056 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 56.056 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 56.056 * [taylor]: Taking taylor expansion of 1/2 in n 56.056 * [backup-simplify]: Simplify 1/2 into 1/2 56.056 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 56.056 * [taylor]: Taking taylor expansion of 1 in n 56.056 * [backup-simplify]: Simplify 1 into 1 56.056 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.056 * [taylor]: Taking taylor expansion of k in n 56.056 * [backup-simplify]: Simplify k into k 56.056 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.056 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 56.056 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 56.056 * [taylor]: Taking taylor expansion of 2 in n 56.056 * [backup-simplify]: Simplify 2 into 2 56.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.056 * [taylor]: Taking taylor expansion of PI in n 56.056 * [backup-simplify]: Simplify PI into PI 56.056 * [taylor]: Taking taylor expansion of n in n 56.056 * [backup-simplify]: Simplify 0 into 0 56.056 * [backup-simplify]: Simplify 1 into 1 56.056 * [backup-simplify]: Simplify (/ PI 1) into PI 56.056 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 56.057 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 56.057 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 56.057 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 56.057 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 56.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 56.059 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 56.060 * [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))))) 56.060 * [taylor]: Taking taylor expansion of (sqrt k) in n 56.060 * [taylor]: Taking taylor expansion of k in n 56.060 * [backup-simplify]: Simplify k into k 56.060 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 56.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 56.060 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 56.061 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 56.061 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 56.061 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 56.061 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 56.061 * [taylor]: Taking taylor expansion of 1/2 in n 56.061 * [backup-simplify]: Simplify 1/2 into 1/2 56.061 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 56.061 * [taylor]: Taking taylor expansion of 1 in n 56.061 * [backup-simplify]: Simplify 1 into 1 56.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.061 * [taylor]: Taking taylor expansion of k in n 56.061 * [backup-simplify]: Simplify k into k 56.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 56.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 56.061 * [taylor]: Taking taylor expansion of 2 in n 56.061 * [backup-simplify]: Simplify 2 into 2 56.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.061 * [taylor]: Taking taylor expansion of PI in n 56.061 * [backup-simplify]: Simplify PI into PI 56.061 * [taylor]: Taking taylor expansion of n in n 56.061 * [backup-simplify]: Simplify 0 into 0 56.061 * [backup-simplify]: Simplify 1 into 1 56.062 * [backup-simplify]: Simplify (/ PI 1) into PI 56.062 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 56.063 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 56.063 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 56.063 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 56.063 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 56.064 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 56.065 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 56.066 * [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))))) 56.066 * [taylor]: Taking taylor expansion of (sqrt k) in n 56.066 * [taylor]: Taking taylor expansion of k in n 56.066 * [backup-simplify]: Simplify k into k 56.067 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 56.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 56.068 * [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)) 56.068 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 56.068 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 56.068 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 56.068 * [taylor]: Taking taylor expansion of 1/2 in k 56.068 * [backup-simplify]: Simplify 1/2 into 1/2 56.068 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 56.068 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 56.068 * [taylor]: Taking taylor expansion of 1 in k 56.068 * [backup-simplify]: Simplify 1 into 1 56.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.068 * [taylor]: Taking taylor expansion of k in k 56.068 * [backup-simplify]: Simplify 0 into 0 56.068 * [backup-simplify]: Simplify 1 into 1 56.068 * [backup-simplify]: Simplify (/ 1 1) into 1 56.068 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 56.068 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 56.068 * [taylor]: Taking taylor expansion of (* 2 PI) in k 56.069 * [taylor]: Taking taylor expansion of 2 in k 56.069 * [backup-simplify]: Simplify 2 into 2 56.069 * [taylor]: Taking taylor expansion of PI in k 56.069 * [backup-simplify]: Simplify PI into PI 56.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 56.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 56.070 * [taylor]: Taking taylor expansion of (log n) in k 56.070 * [taylor]: Taking taylor expansion of n in k 56.070 * [backup-simplify]: Simplify n into n 56.070 * [backup-simplify]: Simplify (log n) into (log n) 56.070 * [backup-simplify]: Simplify (- 1) into -1 56.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 56.071 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 56.072 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 56.072 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 56.073 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 56.074 * [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))))) 56.074 * [taylor]: Taking taylor expansion of (sqrt k) in k 56.074 * [taylor]: Taking taylor expansion of k in k 56.074 * [backup-simplify]: Simplify 0 into 0 56.074 * [backup-simplify]: Simplify 1 into 1 56.075 * [backup-simplify]: Simplify (sqrt 0) into 0 56.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 56.077 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 56.077 * [backup-simplify]: Simplify 0 into 0 56.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 56.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 56.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 56.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 56.081 * [backup-simplify]: Simplify (- 0) into 0 56.081 * [backup-simplify]: Simplify (+ 0 0) into 0 56.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 56.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 56.084 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 56.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 56.087 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 56.087 * [taylor]: Taking taylor expansion of 0 in k 56.087 * [backup-simplify]: Simplify 0 into 0 56.087 * [backup-simplify]: Simplify 0 into 0 56.088 * [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))))))) 56.089 * [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))))))) 56.090 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 56.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 56.093 * [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 56.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.093 * [backup-simplify]: Simplify (- 0) into 0 56.094 * [backup-simplify]: Simplify (+ 0 0) into 0 56.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 56.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 56.097 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 56.098 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 56.099 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 56.099 * [taylor]: Taking taylor expansion of 0 in k 56.099 * [backup-simplify]: Simplify 0 into 0 56.099 * [backup-simplify]: Simplify 0 into 0 56.099 * [backup-simplify]: Simplify 0 into 0 56.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 56.102 * [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))))))) 56.103 * [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))))))) 56.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 56.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 56.108 * [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 56.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.108 * [backup-simplify]: Simplify (- 0) into 0 56.108 * [backup-simplify]: Simplify (+ 0 0) into 0 56.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 56.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 56.111 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 56.113 * [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 56.114 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 56.114 * [taylor]: Taking taylor expansion of 0 in k 56.114 * [backup-simplify]: Simplify 0 into 0 56.114 * [backup-simplify]: Simplify 0 into 0 56.114 * [backup-simplify]: Simplify 0 into 0 56.114 * [backup-simplify]: Simplify 0 into 0 56.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 56.118 * [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))))))) 56.118 * [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))))))) 56.121 * [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)))))))) 56.121 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (pow (/ 1 (- k)) -1/2)) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 56.121 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 56.121 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 56.122 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 56.122 * [taylor]: Taking taylor expansion of (/ k -1) in k 56.122 * [taylor]: Taking taylor expansion of k in k 56.122 * [backup-simplify]: Simplify 0 into 0 56.122 * [backup-simplify]: Simplify 1 into 1 56.122 * [taylor]: Taking taylor expansion of -1 in k 56.122 * [backup-simplify]: Simplify -1 into -1 56.122 * [backup-simplify]: Simplify (/ 1 -1) into -1 56.122 * [backup-simplify]: Simplify (sqrt 0) into 0 56.123 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 56.123 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 56.123 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 56.123 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 56.123 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 56.123 * [taylor]: Taking taylor expansion of 1/2 in k 56.123 * [backup-simplify]: Simplify 1/2 into 1/2 56.123 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 56.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.123 * [taylor]: Taking taylor expansion of k in k 56.123 * [backup-simplify]: Simplify 0 into 0 56.123 * [backup-simplify]: Simplify 1 into 1 56.124 * [backup-simplify]: Simplify (/ 1 1) into 1 56.124 * [taylor]: Taking taylor expansion of 1 in k 56.124 * [backup-simplify]: Simplify 1 into 1 56.124 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 56.124 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 56.124 * [taylor]: Taking taylor expansion of -2 in k 56.124 * [backup-simplify]: Simplify -2 into -2 56.124 * [taylor]: Taking taylor expansion of (/ PI n) in k 56.124 * [taylor]: Taking taylor expansion of PI in k 56.124 * [backup-simplify]: Simplify PI into PI 56.124 * [taylor]: Taking taylor expansion of n in k 56.124 * [backup-simplify]: Simplify n into n 56.124 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 56.124 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 56.124 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 56.124 * [backup-simplify]: Simplify (+ 1 0) into 1 56.125 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.125 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 56.125 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 56.125 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 56.125 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 56.125 * [taylor]: Taking taylor expansion of (/ k -1) in n 56.125 * [taylor]: Taking taylor expansion of k in n 56.125 * [backup-simplify]: Simplify k into k 56.125 * [taylor]: Taking taylor expansion of -1 in n 56.125 * [backup-simplify]: Simplify -1 into -1 56.125 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 56.125 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 56.126 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 56.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 56.126 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 56.126 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 56.126 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 56.126 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 56.126 * [taylor]: Taking taylor expansion of 1/2 in n 56.126 * [backup-simplify]: Simplify 1/2 into 1/2 56.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 56.126 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.126 * [taylor]: Taking taylor expansion of k in n 56.126 * [backup-simplify]: Simplify k into k 56.126 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.126 * [taylor]: Taking taylor expansion of 1 in n 56.126 * [backup-simplify]: Simplify 1 into 1 56.126 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 56.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 56.126 * [taylor]: Taking taylor expansion of -2 in n 56.126 * [backup-simplify]: Simplify -2 into -2 56.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.126 * [taylor]: Taking taylor expansion of PI in n 56.126 * [backup-simplify]: Simplify PI into PI 56.126 * [taylor]: Taking taylor expansion of n in n 56.126 * [backup-simplify]: Simplify 0 into 0 56.126 * [backup-simplify]: Simplify 1 into 1 56.126 * [backup-simplify]: Simplify (/ PI 1) into PI 56.127 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.128 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.128 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 56.128 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 56.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.130 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 56.131 * [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))))) 56.132 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 56.132 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 56.132 * [taylor]: Taking taylor expansion of (/ k -1) in n 56.132 * [taylor]: Taking taylor expansion of k in n 56.132 * [backup-simplify]: Simplify k into k 56.132 * [taylor]: Taking taylor expansion of -1 in n 56.132 * [backup-simplify]: Simplify -1 into -1 56.132 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 56.132 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 56.133 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 56.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 56.133 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 56.133 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 56.133 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 56.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 56.133 * [taylor]: Taking taylor expansion of 1/2 in n 56.133 * [backup-simplify]: Simplify 1/2 into 1/2 56.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 56.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 56.133 * [taylor]: Taking taylor expansion of k in n 56.133 * [backup-simplify]: Simplify k into k 56.133 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 56.133 * [taylor]: Taking taylor expansion of 1 in n 56.133 * [backup-simplify]: Simplify 1 into 1 56.133 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 56.133 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 56.133 * [taylor]: Taking taylor expansion of -2 in n 56.133 * [backup-simplify]: Simplify -2 into -2 56.133 * [taylor]: Taking taylor expansion of (/ PI n) in n 56.133 * [taylor]: Taking taylor expansion of PI in n 56.133 * [backup-simplify]: Simplify PI into PI 56.133 * [taylor]: Taking taylor expansion of n in n 56.133 * [backup-simplify]: Simplify 0 into 0 56.133 * [backup-simplify]: Simplify 1 into 1 56.134 * [backup-simplify]: Simplify (/ PI 1) into PI 56.134 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.142 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.142 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 56.143 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 56.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.145 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 56.146 * [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))))) 56.148 * [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)))))) 56.148 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 56.148 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 56.148 * [taylor]: Taking taylor expansion of (* -1 k) in k 56.148 * [taylor]: Taking taylor expansion of -1 in k 56.148 * [backup-simplify]: Simplify -1 into -1 56.148 * [taylor]: Taking taylor expansion of k in k 56.148 * [backup-simplify]: Simplify 0 into 0 56.148 * [backup-simplify]: Simplify 1 into 1 56.148 * [backup-simplify]: Simplify (* -1 0) into 0 56.149 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 56.150 * [backup-simplify]: Simplify (sqrt 0) into 0 56.151 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 56.151 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 56.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 56.151 * [taylor]: Taking taylor expansion of 1/2 in k 56.151 * [backup-simplify]: Simplify 1/2 into 1/2 56.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 56.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 56.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 56.152 * [taylor]: Taking taylor expansion of k in k 56.152 * [backup-simplify]: Simplify 0 into 0 56.152 * [backup-simplify]: Simplify 1 into 1 56.152 * [backup-simplify]: Simplify (/ 1 1) into 1 56.152 * [taylor]: Taking taylor expansion of 1 in k 56.152 * [backup-simplify]: Simplify 1 into 1 56.152 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 56.152 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 56.152 * [taylor]: Taking taylor expansion of (* -2 PI) in k 56.152 * [taylor]: Taking taylor expansion of -2 in k 56.152 * [backup-simplify]: Simplify -2 into -2 56.152 * [taylor]: Taking taylor expansion of PI in k 56.152 * [backup-simplify]: Simplify PI into PI 56.153 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 56.154 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 56.154 * [taylor]: Taking taylor expansion of (log n) in k 56.154 * [taylor]: Taking taylor expansion of n in k 56.154 * [backup-simplify]: Simplify n into n 56.154 * [backup-simplify]: Simplify (log n) into (log n) 56.154 * [backup-simplify]: Simplify (+ 1 0) into 1 56.154 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 56.155 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 56.156 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 56.157 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 56.158 * [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))))) 56.160 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 56.160 * [backup-simplify]: Simplify 0 into 0 56.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 56.161 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 56.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 56.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 56.164 * [backup-simplify]: Simplify (+ 0 0) into 0 56.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 56.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 56.169 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 56.170 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 56.170 * [taylor]: Taking taylor expansion of 0 in k 56.170 * [backup-simplify]: Simplify 0 into 0 56.170 * [backup-simplify]: Simplify 0 into 0 56.172 * [backup-simplify]: Simplify (+ (* 0 0) (* +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))))))) 56.173 * [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))))))) 56.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.175 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 56.178 * [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 56.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.179 * [backup-simplify]: Simplify (+ 0 0) into 0 56.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 56.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 56.185 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 56.187 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 56.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 56.189 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 56.189 * [taylor]: Taking taylor expansion of 0 in k 56.189 * [backup-simplify]: Simplify 0 into 0 56.189 * [backup-simplify]: Simplify 0 into 0 56.189 * [backup-simplify]: Simplify 0 into 0 56.190 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 56.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 56.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 56.197 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 56.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 56.199 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 56.205 * [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 56.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 56.206 * [backup-simplify]: Simplify (+ 0 0) into 0 56.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 56.209 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 56.210 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 56.213 * [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 56.215 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 56.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 56.218 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 56.218 * [taylor]: Taking taylor expansion of 0 in k 56.218 * [backup-simplify]: Simplify 0 into 0 56.218 * [backup-simplify]: Simplify 0 into 0 56.218 * [backup-simplify]: Simplify 0 into 0 56.218 * [backup-simplify]: Simplify 0 into 0 56.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 56.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 56.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 56.227 * [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))))))) 56.231 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 3)) (+ (* (- (* +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)))) 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))))))) 56.231 * * * [progress]: simplifying candidates 56.231 * * * * [progress]: [ 1 / 112 ] simplifiying candidate # 56.232 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 56.232 * * [simplify]: iters left: 6 (13 enodes) 56.239 * * [simplify]: iters left: 5 (54 enodes) 56.259 * * [simplify]: iters left: 4 (97 enodes) 56.305 * * [simplify]: iters left: 3 (244 enodes) 56.401 * * [simplify]: Extracting #0: cost 1 inf + 0 56.401 * * [simplify]: Extracting #1: cost 32 inf + 0 56.402 * * [simplify]: Extracting #2: cost 126 inf + 2 56.403 * * [simplify]: Extracting #3: cost 173 inf + 75 56.405 * * [simplify]: Extracting #4: cost 127 inf + 6635 56.416 * * [simplify]: Extracting #5: cost 15 inf + 36816 56.430 * * [simplify]: Extracting #6: cost 0 inf + 41489 56.444 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 56.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (pow k -1/2))) 56.444 * * * * [progress]: [ 2 / 112 ] simplifiying candidate # 56.444 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 56.445 * * [simplify]: iters left: 6 (12 enodes) 56.452 * * [simplify]: iters left: 5 (52 enodes) 56.471 * * [simplify]: iters left: 4 (90 enodes) 56.505 * * [simplify]: iters left: 3 (203 enodes) 56.969 * * [simplify]: Extracting #0: cost 1 inf + 0 56.969 * * [simplify]: Extracting #1: cost 29 inf + 0 56.970 * * [simplify]: Extracting #2: cost 112 inf + 2 56.970 * * [simplify]: Extracting #3: cost 149 inf + 341 56.972 * * [simplify]: Extracting #4: cost 110 inf + 5554 56.976 * * [simplify]: Extracting #5: cost 30 inf + 23496 56.981 * * [simplify]: Extracting #6: cost 1 inf + 31878 56.987 * * [simplify]: Extracting #7: cost 0 inf + 32142 56.994 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 56.994 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (pow k -1/2))) 56.994 * * * * [progress]: [ 3 / 112 ] simplifiying candidate # 56.994 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 56.994 * * [simplify]: iters left: 6 (11 enodes) 56.998 * * [simplify]: iters left: 5 (51 enodes) 57.007 * * [simplify]: iters left: 4 (97 enodes) 57.030 * * [simplify]: iters left: 3 (199 enodes) 57.079 * * [simplify]: Extracting #0: cost 1 inf + 0 57.080 * * [simplify]: Extracting #1: cost 32 inf + 0 57.080 * * [simplify]: Extracting #2: cost 113 inf + 2 57.080 * * [simplify]: Extracting #3: cost 154 inf + 200 57.081 * * [simplify]: Extracting #4: cost 123 inf + 3386 57.089 * * [simplify]: Extracting #5: cost 47 inf + 17339 57.099 * * [simplify]: Extracting #6: cost 3 inf + 27690 57.110 * * [simplify]: Extracting #7: cost 0 inf + 28612 57.121 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 57.121 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 57.121 * * * * [progress]: [ 4 / 112 ] simplifiying candidate # 57.121 * * * * [progress]: [ 5 / 112 ] simplifiying candidate # 57.122 * [simplify]: Simplifying (* n (* 2 PI)) 57.122 * * [simplify]: iters left: 4 (5 enodes) 57.125 * * [simplify]: iters left: 3 (19 enodes) 57.131 * * [simplify]: iters left: 2 (27 enodes) 57.139 * * [simplify]: iters left: 1 (32 enodes) 57.147 * * [simplify]: Extracting #0: cost 1 inf + 0 57.147 * * [simplify]: Extracting #1: cost 8 inf + 0 57.147 * * [simplify]: Extracting #2: cost 7 inf + 45 57.148 * * [simplify]: Extracting #3: cost 0 inf + 421 57.148 * [simplify]: Simplified to (* (* PI 2) n) 57.148 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 57.148 * * * * [progress]: [ 6 / 112 ] simplifiying candidate # 57.148 * [simplify]: Simplifying (* n (* 2 PI)) 57.149 * * [simplify]: iters left: 4 (5 enodes) 57.151 * * [simplify]: iters left: 3 (19 enodes) 57.158 * * [simplify]: iters left: 2 (27 enodes) 57.165 * * [simplify]: iters left: 1 (32 enodes) 57.169 * * [simplify]: Extracting #0: cost 1 inf + 0 57.169 * * [simplify]: Extracting #1: cost 8 inf + 0 57.169 * * [simplify]: Extracting #2: cost 7 inf + 45 57.169 * * [simplify]: Extracting #3: cost 0 inf + 421 57.170 * [simplify]: Simplified to (* (* PI 2) n) 57.170 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 57.170 * * * * [progress]: [ 7 / 112 ] simplifiying candidate # 57.170 * [simplify]: Simplifying (* n (* 2 PI)) 57.170 * * [simplify]: iters left: 4 (5 enodes) 57.171 * * [simplify]: iters left: 3 (19 enodes) 57.175 * * [simplify]: iters left: 2 (27 enodes) 57.179 * * [simplify]: iters left: 1 (32 enodes) 57.184 * * [simplify]: Extracting #0: cost 1 inf + 0 57.184 * * [simplify]: Extracting #1: cost 8 inf + 0 57.184 * * [simplify]: Extracting #2: cost 7 inf + 45 57.184 * * [simplify]: Extracting #3: cost 0 inf + 421 57.184 * [simplify]: Simplified to (* (* PI 2) n) 57.185 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (pow k -1/2))) 57.185 * * * * [progress]: [ 8 / 112 ] simplifiying candidate # 57.185 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 57.185 * * [simplify]: iters left: 5 (8 enodes) 57.187 * * [simplify]: iters left: 4 (31 enodes) 57.193 * * [simplify]: iters left: 3 (51 enodes) 57.204 * * [simplify]: iters left: 2 (85 enodes) 57.233 * * [simplify]: iters left: 1 (152 enodes) 57.292 * * [simplify]: Extracting #0: cost 1 inf + 0 57.293 * * [simplify]: Extracting #1: cost 13 inf + 0 57.293 * * [simplify]: Extracting #2: cost 59 inf + 1 57.293 * * [simplify]: Extracting #3: cost 76 inf + 9 57.294 * * [simplify]: Extracting #4: cost 41 inf + 3303 57.297 * * [simplify]: Extracting #5: cost 16 inf + 10676 57.303 * * [simplify]: Extracting #6: cost 0 inf + 21028 57.309 * * [simplify]: Extracting #7: cost 0 inf + 20456 57.314 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 57.314 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 57.314 * * * * [progress]: [ 9 / 112 ] simplifiying candidate # 57.315 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 57.315 * * [simplify]: iters left: 5 (6 enodes) 57.319 * * [simplify]: iters left: 4 (26 enodes) 57.328 * * [simplify]: iters left: 3 (35 enodes) 57.338 * * [simplify]: iters left: 2 (37 enodes) 57.349 * * [simplify]: iters left: 1 (41 enodes) 57.365 * * [simplify]: Extracting #0: cost 1 inf + 0 57.365 * * [simplify]: Extracting #1: cost 3 inf + 0 57.365 * * [simplify]: Extracting #2: cost 9 inf + 0 57.365 * * [simplify]: Extracting #3: cost 13 inf + 2 57.365 * * [simplify]: Extracting #4: cost 10 inf + 87 57.366 * * [simplify]: Extracting #5: cost 3 inf + 582 57.366 * * [simplify]: Extracting #6: cost 0 inf + 910 57.367 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 57.367 * [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))) (pow k -1/2))) 57.367 * * * * [progress]: [ 10 / 112 ] simplifiying candidate # 57.367 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 57.367 * * [simplify]: iters left: 5 (6 enodes) 57.371 * * [simplify]: iters left: 4 (26 enodes) 57.380 * * [simplify]: iters left: 3 (35 enodes) 57.390 * * [simplify]: iters left: 2 (37 enodes) 57.402 * * [simplify]: iters left: 1 (41 enodes) 57.414 * * [simplify]: Extracting #0: cost 1 inf + 0 57.414 * * [simplify]: Extracting #1: cost 3 inf + 0 57.414 * * [simplify]: Extracting #2: cost 9 inf + 0 57.414 * * [simplify]: Extracting #3: cost 13 inf + 2 57.415 * * [simplify]: Extracting #4: cost 10 inf + 87 57.415 * * [simplify]: Extracting #5: cost 3 inf + 542 57.415 * * [simplify]: Extracting #6: cost 0 inf + 830 57.416 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 57.416 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 57.416 * * * * [progress]: [ 11 / 112 ] simplifiying candidate # 57.416 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 57.416 * * [simplify]: iters left: 5 (7 enodes) 57.421 * * [simplify]: iters left: 4 (25 enodes) 57.431 * * [simplify]: iters left: 3 (30 enodes) 57.440 * * [simplify]: Extracting #0: cost 1 inf + 0 57.440 * * [simplify]: Extracting #1: cost 4 inf + 0 57.440 * * [simplify]: Extracting #2: cost 8 inf + 0 57.440 * * [simplify]: Extracting #3: cost 10 inf + 82 57.440 * * [simplify]: Extracting #4: cost 7 inf + 206 57.441 * * [simplify]: Extracting #5: cost 2 inf + 575 57.441 * * [simplify]: Extracting #6: cost 1 inf + 818 57.441 * * [simplify]: Extracting #7: cost 0 inf + 1061 57.441 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 57.442 * [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))) (pow k -1/2))) 57.442 * * * * [progress]: [ 12 / 112 ] simplifiying candidate # 57.442 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 57.442 * * [simplify]: iters left: 5 (7 enodes) 57.447 * * [simplify]: iters left: 4 (25 enodes) 57.455 * * [simplify]: iters left: 3 (30 enodes) 57.465 * * [simplify]: Extracting #0: cost 1 inf + 0 57.465 * * [simplify]: Extracting #1: cost 4 inf + 0 57.465 * * [simplify]: Extracting #2: cost 8 inf + 0 57.465 * * [simplify]: Extracting #3: cost 10 inf + 42 57.465 * * [simplify]: Extracting #4: cost 7 inf + 126 57.465 * * [simplify]: Extracting #5: cost 2 inf + 495 57.465 * * [simplify]: Extracting #6: cost 1 inf + 698 57.466 * * [simplify]: Extracting #7: cost 0 inf + 901 57.466 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 57.466 * [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))) (pow k -1/2))) 57.466 * * * * [progress]: [ 13 / 112 ] simplifiying candidate # 57.467 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 57.467 * * [simplify]: iters left: 5 (6 enodes) 57.470 * * [simplify]: iters left: 4 (22 enodes) 57.478 * * [simplify]: iters left: 3 (27 enodes) 57.486 * * [simplify]: Extracting #0: cost 1 inf + 0 57.486 * * [simplify]: Extracting #1: cost 4 inf + 0 57.486 * * [simplify]: Extracting #2: cost 5 inf + 1 57.486 * * [simplify]: Extracting #3: cost 9 inf + 1 57.486 * * [simplify]: Extracting #4: cost 8 inf + 3 57.487 * * [simplify]: Extracting #5: cost 4 inf + 169 57.487 * * [simplify]: Extracting #6: cost 1 inf + 576 57.487 * * [simplify]: Extracting #7: cost 0 inf + 739 57.487 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 57.487 * [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)) (pow k -1/2))) 57.488 * * * * [progress]: [ 14 / 112 ] simplifiying candidate # 57.488 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 57.488 * * [simplify]: iters left: 5 (7 enodes) 57.492 * * [simplify]: iters left: 4 (25 enodes) 57.501 * * [simplify]: iters left: 3 (30 enodes) 57.510 * * [simplify]: Extracting #0: cost 1 inf + 0 57.510 * * [simplify]: Extracting #1: cost 4 inf + 0 57.510 * * [simplify]: Extracting #2: cost 8 inf + 0 57.510 * * [simplify]: Extracting #3: cost 10 inf + 82 57.511 * * [simplify]: Extracting #4: cost 7 inf + 206 57.511 * * [simplify]: Extracting #5: cost 2 inf + 495 57.511 * * [simplify]: Extracting #6: cost 1 inf + 698 57.512 * * [simplify]: Extracting #7: cost 0 inf + 901 57.512 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 57.512 * [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))) (pow k -1/2))) 57.513 * * * * [progress]: [ 15 / 112 ] simplifiying candidate # 57.513 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 57.513 * * [simplify]: iters left: 5 (7 enodes) 57.517 * * [simplify]: iters left: 4 (25 enodes) 57.529 * * [simplify]: iters left: 3 (30 enodes) 57.538 * * [simplify]: Extracting #0: cost 1 inf + 0 57.538 * * [simplify]: Extracting #1: cost 4 inf + 0 57.538 * * [simplify]: Extracting #2: cost 8 inf + 0 57.539 * * [simplify]: Extracting #3: cost 10 inf + 42 57.539 * * [simplify]: Extracting #4: cost 7 inf + 126 57.539 * * [simplify]: Extracting #5: cost 2 inf + 415 57.539 * * [simplify]: Extracting #6: cost 1 inf + 578 57.540 * * [simplify]: Extracting #7: cost 0 inf + 741 57.540 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 57.540 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 57.540 * * * * [progress]: [ 16 / 112 ] simplifiying candidate # 57.540 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 57.541 * * [simplify]: iters left: 5 (6 enodes) 57.544 * * [simplify]: iters left: 4 (22 enodes) 57.551 * * [simplify]: iters left: 3 (27 enodes) 57.560 * * [simplify]: Extracting #0: cost 1 inf + 0 57.560 * * [simplify]: Extracting #1: cost 4 inf + 0 57.560 * * [simplify]: Extracting #2: cost 5 inf + 1 57.560 * * [simplify]: Extracting #3: cost 9 inf + 1 57.560 * * [simplify]: Extracting #4: cost 8 inf + 3 57.561 * * [simplify]: Extracting #5: cost 4 inf + 169 57.561 * * [simplify]: Extracting #6: cost 1 inf + 456 57.561 * * [simplify]: Extracting #7: cost 0 inf + 579 57.561 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 57.561 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 57.562 * * * * [progress]: [ 17 / 112 ] simplifiying candidate # 57.562 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 57.562 * * [simplify]: iters left: 4 (6 enodes) 57.566 * * [simplify]: iters left: 3 (25 enodes) 57.575 * * [simplify]: iters left: 2 (36 enodes) 57.586 * * [simplify]: iters left: 1 (40 enodes) 57.598 * * [simplify]: Extracting #0: cost 1 inf + 0 57.599 * * [simplify]: Extracting #1: cost 7 inf + 0 57.599 * * [simplify]: Extracting #2: cost 16 inf + 0 57.599 * * [simplify]: Extracting #3: cost 13 inf + 44 57.599 * * [simplify]: Extracting #4: cost 3 inf + 1103 57.600 * * [simplify]: Extracting #5: cost 0 inf + 1469 57.600 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 57.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 57.600 * * * * [progress]: [ 18 / 112 ] simplifiying candidate # 57.601 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 57.601 * * [simplify]: iters left: 4 (6 enodes) 57.605 * * [simplify]: iters left: 3 (25 enodes) 57.615 * * [simplify]: iters left: 2 (36 enodes) 57.627 * * [simplify]: iters left: 1 (40 enodes) 57.639 * * [simplify]: Extracting #0: cost 1 inf + 0 57.639 * * [simplify]: Extracting #1: cost 7 inf + 0 57.639 * * [simplify]: Extracting #2: cost 16 inf + 0 57.639 * * [simplify]: Extracting #3: cost 13 inf + 44 57.640 * * [simplify]: Extracting #4: cost 3 inf + 823 57.640 * * [simplify]: Extracting #5: cost 0 inf + 1069 57.641 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 57.641 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 57.641 * * * * [progress]: [ 19 / 112 ] simplifiying candidate # 57.641 * [simplify]: Simplifying (/ (- 1 k) 2) 57.641 * * [simplify]: iters left: 4 (5 enodes) 57.645 * * [simplify]: iters left: 3 (23 enodes) 57.653 * * [simplify]: iters left: 2 (32 enodes) 57.662 * * [simplify]: iters left: 1 (34 enodes) 57.673 * * [simplify]: Extracting #0: cost 1 inf + 0 57.673 * * [simplify]: Extracting #1: cost 7 inf + 0 57.673 * * [simplify]: Extracting #2: cost 11 inf + 2 57.674 * * [simplify]: Extracting #3: cost 10 inf + 4 57.674 * * [simplify]: Extracting #4: cost 4 inf + 337 57.674 * * [simplify]: Extracting #5: cost 0 inf + 584 57.674 * [simplify]: Simplified to (/ (- 1 k) 2) 57.674 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 57.675 * * * * [progress]: [ 20 / 112 ] simplifiying candidate # 57.675 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 57.675 * * [simplify]: iters left: 5 (8 enodes) 57.680 * * [simplify]: iters left: 4 (31 enodes) 57.693 * * [simplify]: iters left: 3 (45 enodes) 57.706 * * [simplify]: iters left: 2 (52 enodes) 57.717 * * [simplify]: iters left: 1 (53 enodes) 57.725 * * [simplify]: Extracting #0: cost 1 inf + 0 57.725 * * [simplify]: Extracting #1: cost 8 inf + 0 57.725 * * [simplify]: Extracting #2: cost 18 inf + 0 57.725 * * [simplify]: Extracting #3: cost 19 inf + 2 57.725 * * [simplify]: Extracting #4: cost 9 inf + 977 57.725 * * [simplify]: Extracting #5: cost 2 inf + 1790 57.726 * * [simplify]: Extracting #6: cost 0 inf + 2195 57.726 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.726 * [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))) (pow k -1/2))) 57.726 * * * * [progress]: [ 21 / 112 ] simplifiying candidate # 57.726 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 57.726 * * [simplify]: iters left: 5 (8 enodes) 57.729 * * [simplify]: iters left: 4 (31 enodes) 57.735 * * [simplify]: iters left: 3 (45 enodes) 57.741 * * [simplify]: iters left: 2 (52 enodes) 57.750 * * [simplify]: iters left: 1 (53 enodes) 57.765 * * [simplify]: Extracting #0: cost 1 inf + 0 57.765 * * [simplify]: Extracting #1: cost 8 inf + 0 57.765 * * [simplify]: Extracting #2: cost 18 inf + 0 57.765 * * [simplify]: Extracting #3: cost 19 inf + 2 57.766 * * [simplify]: Extracting #4: cost 9 inf + 697 57.766 * * [simplify]: Extracting #5: cost 2 inf + 1390 57.767 * * [simplify]: Extracting #6: cost 0 inf + 1715 57.768 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.768 * [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))) (pow k -1/2))) 57.768 * * * * [progress]: [ 22 / 112 ] simplifiying candidate # 57.768 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 57.768 * * [simplify]: iters left: 5 (7 enodes) 57.775 * * [simplify]: iters left: 4 (29 enodes) 57.785 * * [simplify]: iters left: 3 (43 enodes) 57.796 * * [simplify]: iters left: 2 (48 enodes) 57.809 * * [simplify]: Extracting #0: cost 1 inf + 0 57.809 * * [simplify]: Extracting #1: cost 7 inf + 0 57.809 * * [simplify]: Extracting #2: cost 11 inf + 2 57.809 * * [simplify]: Extracting #3: cost 13 inf + 3 57.809 * * [simplify]: Extracting #4: cost 11 inf + 45 57.809 * * [simplify]: Extracting #5: cost 0 inf + 1066 57.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 57.810 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 57.810 * * * * [progress]: [ 23 / 112 ] simplifiying candidate # 57.810 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 57.811 * * [simplify]: iters left: 5 (7 enodes) 57.815 * * [simplify]: iters left: 4 (28 enodes) 57.828 * * [simplify]: iters left: 3 (39 enodes) 57.840 * * [simplify]: iters left: 2 (43 enodes) 57.853 * * [simplify]: Extracting #0: cost 1 inf + 0 57.853 * * [simplify]: Extracting #1: cost 7 inf + 0 57.853 * * [simplify]: Extracting #2: cost 16 inf + 0 57.854 * * [simplify]: Extracting #3: cost 15 inf + 164 57.854 * * [simplify]: Extracting #4: cost 13 inf + 287 57.854 * * [simplify]: Extracting #5: cost 5 inf + 1180 57.855 * * [simplify]: Extracting #6: cost 0 inf + 1951 57.855 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 57.855 * [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))) (pow k -1/2))) 57.855 * * * * [progress]: [ 24 / 112 ] simplifiying candidate # 57.855 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 57.855 * * [simplify]: iters left: 5 (7 enodes) 57.858 * * [simplify]: iters left: 4 (28 enodes) 57.863 * * [simplify]: iters left: 3 (39 enodes) 57.870 * * [simplify]: iters left: 2 (43 enodes) 57.877 * * [simplify]: Extracting #0: cost 1 inf + 0 57.877 * * [simplify]: Extracting #1: cost 7 inf + 0 57.877 * * [simplify]: Extracting #2: cost 16 inf + 0 57.877 * * [simplify]: Extracting #3: cost 15 inf + 84 57.877 * * [simplify]: Extracting #4: cost 13 inf + 167 57.878 * * [simplify]: Extracting #5: cost 5 inf + 900 57.878 * * [simplify]: Extracting #6: cost 0 inf + 1551 57.878 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 57.878 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 57.878 * * * * [progress]: [ 25 / 112 ] simplifiying candidate # 57.879 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 57.879 * * [simplify]: iters left: 5 (6 enodes) 57.881 * * [simplify]: iters left: 4 (26 enodes) 57.886 * * [simplify]: iters left: 3 (35 enodes) 57.892 * * [simplify]: iters left: 2 (37 enodes) 57.898 * * [simplify]: iters left: 1 (41 enodes) 57.904 * * [simplify]: Extracting #0: cost 1 inf + 0 57.904 * * [simplify]: Extracting #1: cost 7 inf + 0 57.904 * * [simplify]: Extracting #2: cost 11 inf + 2 57.905 * * [simplify]: Extracting #3: cost 13 inf + 3 57.905 * * [simplify]: Extracting #4: cost 12 inf + 4 57.905 * * [simplify]: Extracting #5: cost 6 inf + 412 57.905 * * [simplify]: Extracting #6: cost 2 inf + 821 57.905 * * [simplify]: Extracting #7: cost 0 inf + 1066 57.905 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 57.905 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2))) (pow k -1/2))) 57.905 * * * * [progress]: [ 26 / 112 ] simplifiying candidate # 57.906 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 57.906 * * [simplify]: iters left: 4 (6 enodes) 57.909 * * [simplify]: iters left: 3 (25 enodes) 57.917 * * [simplify]: iters left: 2 (36 enodes) 57.929 * * [simplify]: iters left: 1 (40 enodes) 57.941 * * [simplify]: Extracting #0: cost 1 inf + 0 57.941 * * [simplify]: Extracting #1: cost 7 inf + 0 57.941 * * [simplify]: Extracting #2: cost 16 inf + 0 57.941 * * [simplify]: Extracting #3: cost 13 inf + 44 57.942 * * [simplify]: Extracting #4: cost 3 inf + 1103 57.942 * * [simplify]: Extracting #5: cost 0 inf + 1469 57.942 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 57.943 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 57.943 * * * * [progress]: [ 27 / 112 ] simplifiying candidate # 57.943 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 57.943 * * [simplify]: iters left: 4 (6 enodes) 57.950 * * [simplify]: iters left: 3 (25 enodes) 57.959 * * [simplify]: iters left: 2 (36 enodes) 57.970 * * [simplify]: iters left: 1 (40 enodes) 57.982 * * [simplify]: Extracting #0: cost 1 inf + 0 57.983 * * [simplify]: Extracting #1: cost 7 inf + 0 57.983 * * [simplify]: Extracting #2: cost 16 inf + 0 57.983 * * [simplify]: Extracting #3: cost 13 inf + 44 57.983 * * [simplify]: Extracting #4: cost 3 inf + 823 57.984 * * [simplify]: Extracting #5: cost 0 inf + 1069 57.984 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 57.984 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 57.984 * * * * [progress]: [ 28 / 112 ] simplifiying candidate # 57.985 * [simplify]: Simplifying (/ (- 1 k) 2) 57.985 * * [simplify]: iters left: 4 (5 enodes) 57.989 * * [simplify]: iters left: 3 (23 enodes) 57.998 * * [simplify]: iters left: 2 (32 enodes) 58.008 * * [simplify]: iters left: 1 (34 enodes) 58.018 * * [simplify]: Extracting #0: cost 1 inf + 0 58.018 * * [simplify]: Extracting #1: cost 7 inf + 0 58.018 * * [simplify]: Extracting #2: cost 11 inf + 2 58.018 * * [simplify]: Extracting #3: cost 10 inf + 4 58.018 * * [simplify]: Extracting #4: cost 4 inf + 337 58.019 * * [simplify]: Extracting #5: cost 0 inf + 584 58.019 * [simplify]: Simplified to (/ (- 1 k) 2) 58.019 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (pow k -1/2))) 58.019 * * * * [progress]: [ 29 / 112 ] simplifiying candidate # 58.019 * [simplify]: Simplifying (/ (- 1 k) 2) 58.019 * * [simplify]: iters left: 4 (5 enodes) 58.021 * * [simplify]: iters left: 3 (23 enodes) 58.026 * * [simplify]: iters left: 2 (32 enodes) 58.031 * * [simplify]: iters left: 1 (34 enodes) 58.037 * * [simplify]: Extracting #0: cost 1 inf + 0 58.037 * * [simplify]: Extracting #1: cost 7 inf + 0 58.037 * * [simplify]: Extracting #2: cost 11 inf + 2 58.037 * * [simplify]: Extracting #3: cost 10 inf + 4 58.037 * * [simplify]: Extracting #4: cost 4 inf + 337 58.037 * * [simplify]: Extracting #5: cost 0 inf + 584 58.037 * [simplify]: Simplified to (/ (- 1 k) 2) 58.037 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (pow k -1/2))) 58.038 * * * * [progress]: [ 30 / 112 ] simplifiying candidate # 58.038 * [simplify]: Simplifying (/ 1 2) 58.038 * * [simplify]: iters left: 2 (3 enodes) 58.040 * * [simplify]: iters left: 1 (12 enodes) 58.042 * * [simplify]: Extracting #0: cost 1 inf + 0 58.042 * * [simplify]: Extracting #1: cost 0 inf + 1 58.042 * [simplify]: Simplified to 1/2 58.042 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (pow k -1/2))) 58.042 * * * * [progress]: [ 31 / 112 ] simplifiying candidate # 58.042 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 58.042 * * [simplify]: iters left: 5 (7 enodes) 58.045 * * [simplify]: iters left: 4 (32 enodes) 58.055 * * [simplify]: iters left: 3 (57 enodes) 58.074 * * [simplify]: iters left: 2 (90 enodes) 58.095 * * [simplify]: iters left: 1 (170 enodes) 58.152 * * [simplify]: Extracting #0: cost 1 inf + 0 58.153 * * [simplify]: Extracting #1: cost 13 inf + 0 58.153 * * [simplify]: Extracting #2: cost 54 inf + 2 58.153 * * [simplify]: Extracting #3: cost 89 inf + 6 58.154 * * [simplify]: Extracting #4: cost 78 inf + 1344 58.158 * * [simplify]: Extracting #5: cost 20 inf + 14664 58.165 * * [simplify]: Extracting #6: cost 1 inf + 22045 58.170 * * [simplify]: Extracting #7: cost 0 inf + 21300 58.173 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 58.173 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 58.174 * * * * [progress]: [ 32 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 33 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 34 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 35 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 36 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 37 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 38 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 39 / 112 ] simplifiying candidate # 58.174 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 58.174 * * * * [progress]: [ 41 / 112 ] simplifiying candidate # 58.174 * [simplify]: Simplifying (* n (* 2 PI)) 58.174 * * [simplify]: iters left: 4 (5 enodes) 58.176 * * [simplify]: iters left: 3 (19 enodes) 58.179 * * [simplify]: iters left: 2 (27 enodes) 58.184 * * [simplify]: iters left: 1 (32 enodes) 58.189 * * [simplify]: Extracting #0: cost 1 inf + 0 58.189 * * [simplify]: Extracting #1: cost 8 inf + 0 58.189 * * [simplify]: Extracting #2: cost 7 inf + 45 58.189 * * [simplify]: Extracting #3: cost 0 inf + 421 58.192 * [simplify]: Simplified to (* (* PI 2) n) 58.192 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 58.192 * * * * [progress]: [ 42 / 112 ] simplifiying candidate # 58.192 * [simplify]: Simplifying (* n (* 2 PI)) 58.192 * * [simplify]: iters left: 4 (5 enodes) 58.194 * * [simplify]: iters left: 3 (19 enodes) 58.197 * * [simplify]: iters left: 2 (27 enodes) 58.205 * * [simplify]: iters left: 1 (32 enodes) 58.214 * * [simplify]: Extracting #0: cost 1 inf + 0 58.214 * * [simplify]: Extracting #1: cost 8 inf + 0 58.214 * * [simplify]: Extracting #2: cost 7 inf + 45 58.214 * * [simplify]: Extracting #3: cost 0 inf + 421 58.215 * [simplify]: Simplified to (* (* PI 2) n) 58.215 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 58.215 * * * * [progress]: [ 43 / 112 ] simplifiying candidate # 58.215 * * * * [progress]: [ 44 / 112 ] simplifiying candidate # 58.215 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 58.215 * * [simplify]: iters left: 5 (8 enodes) 58.220 * * [simplify]: iters left: 4 (28 enodes) 58.228 * * [simplify]: iters left: 3 (36 enodes) 58.239 * * [simplify]: iters left: 2 (42 enodes) 58.250 * * [simplify]: Extracting #0: cost 1 inf + 0 58.250 * * [simplify]: Extracting #1: cost 8 inf + 0 58.251 * * [simplify]: Extracting #2: cost 17 inf + 0 58.251 * * [simplify]: Extracting #3: cost 12 inf + 145 58.251 * * [simplify]: Extracting #4: cost 5 inf + 1197 58.252 * * [simplify]: Extracting #5: cost 1 inf + 1925 58.252 * * [simplify]: Extracting #6: cost 0 inf + 2107 58.253 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 58.253 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 58.253 * * * * [progress]: [ 45 / 112 ] simplifiying candidate # 58.253 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 58.253 * * [simplify]: iters left: 5 (7 enodes) 58.257 * * [simplify]: iters left: 4 (26 enodes) 58.265 * * [simplify]: iters left: 3 (35 enodes) 58.276 * * [simplify]: iters left: 2 (44 enodes) 58.288 * * [simplify]: Extracting #0: cost 1 inf + 0 58.288 * * [simplify]: Extracting #1: cost 8 inf + 0 58.288 * * [simplify]: Extracting #2: cost 18 inf + 0 58.288 * * [simplify]: Extracting #3: cost 15 inf + 74 58.288 * * [simplify]: Extracting #4: cost 8 inf + 554 58.289 * * [simplify]: Extracting #5: cost 0 inf + 1911 58.289 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 58.289 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 58.289 * * * * [progress]: [ 46 / 112 ] simplifiying candidate # 58.290 * * * * [progress]: [ 47 / 112 ] simplifiying candidate # 58.290 * * * * [progress]: [ 48 / 112 ] simplifiying candidate # 58.290 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 58.290 * * [simplify]: iters left: 6 (11 enodes) 58.298 * * [simplify]: iters left: 5 (48 enodes) 58.317 * * [simplify]: iters left: 4 (121 enodes) 58.378 * * [simplify]: iters left: 3 (348 enodes) 58.609 * * [simplify]: Extracting #0: cost 1 inf + 0 58.609 * * [simplify]: Extracting #1: cost 67 inf + 0 58.610 * * [simplify]: Extracting #2: cost 165 inf + 786 58.615 * * [simplify]: Extracting #3: cost 81 inf + 10746 58.621 * * [simplify]: Extracting #4: cost 9 inf + 26018 58.628 * * [simplify]: Extracting #5: cost 0 inf + 28546 58.634 * * [simplify]: Extracting #6: cost 0 inf + 28506 58.641 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 58.641 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (pow k -1/2))) 58.641 * * * * [progress]: [ 49 / 112 ] simplifiying candidate # 58.641 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 58.641 * * [simplify]: iters left: 6 (9 enodes) 58.645 * * [simplify]: iters left: 5 (45 enodes) 58.661 * * [simplify]: iters left: 4 (117 enodes) 58.731 * * [simplify]: iters left: 3 (377 enodes) 59.025 * * [simplify]: Extracting #0: cost 1 inf + 0 59.025 * * [simplify]: Extracting #1: cost 79 inf + 0 59.027 * * [simplify]: Extracting #2: cost 191 inf + 659 59.034 * * [simplify]: Extracting #3: cost 100 inf + 13238 59.052 * * [simplify]: Extracting #4: cost 6 inf + 31685 59.070 * * [simplify]: Extracting #5: cost 0 inf + 32539 59.087 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 59.087 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2)) (pow k -1/2))) 59.087 * * * * [progress]: [ 50 / 112 ] simplifiying candidate # 59.087 * * * * [progress]: [ 51 / 112 ] simplifiying candidate # 59.087 * * * * [progress]: [ 52 / 112 ] simplifiying candidate # 59.088 * * * * [progress]: [ 53 / 112 ] simplifiying candidate # 59.088 * * * * [progress]: [ 54 / 112 ] simplifiying candidate # 59.088 * * * * [progress]: [ 55 / 112 ] simplifiying candidate # 59.088 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 59.088 * * [simplify]: iters left: 3 (3 enodes) 59.089 * * [simplify]: iters left: 2 (9 enodes) 59.091 * * [simplify]: Extracting #0: cost 1 inf + 0 59.092 * * [simplify]: Extracting #1: cost 3 inf + 0 59.092 * * [simplify]: Extracting #2: cost 5 inf + 0 59.092 * * [simplify]: Extracting #3: cost 4 inf + 1 59.092 * * [simplify]: Extracting #4: cost 0 inf + 405 59.092 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 59.092 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 59.092 * * * * [progress]: [ 56 / 112 ] simplifiying candidate # 59.092 * [simplify]: Simplifying (sqrt n) 59.092 * * [simplify]: iters left: 1 (2 enodes) 59.093 * * [simplify]: Extracting #0: cost 1 inf + 0 59.093 * * [simplify]: Extracting #1: cost 3 inf + 0 59.093 * * [simplify]: Extracting #2: cost 2 inf + 1 59.093 * * [simplify]: Extracting #3: cost 0 inf + 83 59.093 * [simplify]: Simplified to (sqrt n) 59.093 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 59.093 * * * * [progress]: [ 57 / 112 ] simplifiying candidate # 59.093 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 59.093 * * * * [progress]: [ 59 / 112 ] simplifiying candidate # 59.094 * * * * [progress]: [ 60 / 112 ] simplifiying candidate # 59.094 * * * * [progress]: [ 61 / 112 ] simplifiying candidate # 59.094 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 59.094 * * [simplify]: iters left: 6 (17 enodes) 59.109 * * [simplify]: iters left: 5 (68 enodes) 59.131 * * [simplify]: iters left: 4 (111 enodes) 59.162 * * [simplify]: iters left: 3 (284 enodes) 59.284 * * [simplify]: Extracting #0: cost 1 inf + 0 59.284 * * [simplify]: Extracting #1: cost 23 inf + 0 59.284 * * [simplify]: Extracting #2: cost 107 inf + 0 59.285 * * [simplify]: Extracting #3: cost 166 inf + 74 59.286 * * [simplify]: Extracting #4: cost 162 inf + 5214 59.291 * * [simplify]: Extracting #5: cost 48 inf + 33811 59.300 * * [simplify]: Extracting #6: cost 0 inf + 49875 59.311 * * [simplify]: Extracting #7: cost 0 inf + 49355 59.326 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 59.327 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 59.327 * * * * [progress]: [ 62 / 112 ] simplifiying candidate # 59.327 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 59.327 * * [simplify]: iters left: 6 (17 enodes) 59.333 * * [simplify]: iters left: 5 (68 enodes) 59.345 * * [simplify]: iters left: 4 (111 enodes) 59.389 * * [simplify]: iters left: 3 (284 enodes) 59.506 * * [simplify]: Extracting #0: cost 1 inf + 0 59.506 * * [simplify]: Extracting #1: cost 23 inf + 0 59.506 * * [simplify]: Extracting #2: cost 107 inf + 0 59.507 * * [simplify]: Extracting #3: cost 166 inf + 74 59.510 * * [simplify]: Extracting #4: cost 162 inf + 5214 59.519 * * [simplify]: Extracting #5: cost 48 inf + 33811 59.536 * * [simplify]: Extracting #6: cost 0 inf + 49875 59.555 * * [simplify]: Extracting #7: cost 0 inf + 49355 59.564 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 59.564 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 59.564 * * * * [progress]: [ 63 / 112 ] simplifiying candidate # 59.564 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 59.564 * * [simplify]: iters left: 6 (17 enodes) 59.570 * * [simplify]: iters left: 5 (73 enodes) 59.585 * * [simplify]: iters left: 4 (133 enodes) 59.642 * * [simplify]: iters left: 3 (345 enodes) 59.757 * * [simplify]: Extracting #0: cost 1 inf + 0 59.757 * * [simplify]: Extracting #1: cost 25 inf + 0 59.758 * * [simplify]: Extracting #2: cost 133 inf + 0 59.759 * * [simplify]: Extracting #3: cost 202 inf + 76 59.762 * * [simplify]: Extracting #4: cost 181 inf + 12016 59.776 * * [simplify]: Extracting #5: cost 46 inf + 50070 59.796 * * [simplify]: Extracting #6: cost 4 inf + 62262 59.818 * * [simplify]: Extracting #7: cost 0 inf + 63924 59.839 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)) 59.839 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 59.839 * * * * [progress]: [ 64 / 112 ] simplifiying candidate # 59.839 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 59.840 * * [simplify]: iters left: 6 (16 enodes) 59.849 * * [simplify]: iters left: 5 (66 enodes) 59.871 * * [simplify]: iters left: 4 (104 enodes) 59.913 * * [simplify]: iters left: 3 (232 enodes) 59.999 * * [simplify]: Extracting #0: cost 1 inf + 0 59.999 * * [simplify]: Extracting #1: cost 18 inf + 0 59.999 * * [simplify]: Extracting #2: cost 87 inf + 0 60.000 * * [simplify]: Extracting #3: cost 146 inf + 3 60.002 * * [simplify]: Extracting #4: cost 163 inf + 1237 60.010 * * [simplify]: Extracting #5: cost 82 inf + 17880 60.022 * * [simplify]: Extracting #6: cost 13 inf + 34740 60.035 * * [simplify]: Extracting #7: cost 0 inf + 39363 60.046 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 60.046 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 60.046 * * * * [progress]: [ 65 / 112 ] simplifiying candidate # 60.047 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.047 * * [simplify]: iters left: 6 (16 enodes) 60.052 * * [simplify]: iters left: 5 (66 enodes) 60.064 * * [simplify]: iters left: 4 (104 enodes) 60.085 * * [simplify]: iters left: 3 (232 enodes) 60.170 * * [simplify]: Extracting #0: cost 1 inf + 0 60.170 * * [simplify]: Extracting #1: cost 18 inf + 0 60.170 * * [simplify]: Extracting #2: cost 87 inf + 0 60.171 * * [simplify]: Extracting #3: cost 146 inf + 3 60.171 * * [simplify]: Extracting #4: cost 163 inf + 1237 60.174 * * [simplify]: Extracting #5: cost 82 inf + 17880 60.180 * * [simplify]: Extracting #6: cost 13 inf + 34740 60.187 * * [simplify]: Extracting #7: cost 0 inf + 39363 60.205 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 60.205 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 60.205 * * * * [progress]: [ 66 / 112 ] simplifiying candidate # 60.206 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 60.206 * * [simplify]: iters left: 6 (16 enodes) 60.216 * * [simplify]: iters left: 5 (71 enodes) 60.241 * * [simplify]: iters left: 4 (126 enodes) 60.286 * * [simplify]: iters left: 3 (294 enodes) 60.407 * * [simplify]: Extracting #0: cost 1 inf + 0 60.407 * * [simplify]: Extracting #1: cost 20 inf + 0 60.407 * * [simplify]: Extracting #2: cost 112 inf + 0 60.407 * * [simplify]: Extracting #3: cost 177 inf + 5 60.408 * * [simplify]: Extracting #4: cost 197 inf + 2039 60.411 * * [simplify]: Extracting #5: cost 100 inf + 21664 60.418 * * [simplify]: Extracting #6: cost 12 inf + 48657 60.439 * * [simplify]: Extracting #7: cost 0 inf + 51189 60.456 * [simplify]: Simplified to (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))) 60.457 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (* -1/2 (log k))))) 60.457 * * * * [progress]: [ 67 / 112 ] simplifiying candidate # 60.457 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.457 * * [simplify]: iters left: 6 (15 enodes) 60.466 * * [simplify]: iters left: 5 (65 enodes) 60.484 * * [simplify]: iters left: 4 (111 enodes) 60.506 * * [simplify]: iters left: 3 (221 enodes) 60.581 * * [simplify]: Extracting #0: cost 1 inf + 0 60.581 * * [simplify]: Extracting #1: cost 15 inf + 0 60.581 * * [simplify]: Extracting #2: cost 80 inf + 0 60.582 * * [simplify]: Extracting #3: cost 139 inf + 74 60.584 * * [simplify]: Extracting #4: cost 158 inf + 1498 60.589 * * [simplify]: Extracting #5: cost 76 inf + 15601 60.599 * * [simplify]: Extracting #6: cost 9 inf + 31779 60.612 * * [simplify]: Extracting #7: cost 0 inf + 34325 60.625 * * [simplify]: Extracting #8: cost 0 inf + 34324 60.639 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.639 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.639 * * * * [progress]: [ 68 / 112 ] simplifiying candidate # 60.639 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 60.639 * * [simplify]: iters left: 6 (15 enodes) 60.648 * * [simplify]: iters left: 5 (65 enodes) 60.675 * * [simplify]: iters left: 4 (111 enodes) 60.715 * * [simplify]: iters left: 3 (221 enodes) 60.783 * * [simplify]: Extracting #0: cost 1 inf + 0 60.783 * * [simplify]: Extracting #1: cost 15 inf + 0 60.784 * * [simplify]: Extracting #2: cost 80 inf + 0 60.784 * * [simplify]: Extracting #3: cost 139 inf + 74 60.785 * * [simplify]: Extracting #4: cost 158 inf + 1498 60.787 * * [simplify]: Extracting #5: cost 76 inf + 15601 60.795 * * [simplify]: Extracting #6: cost 9 inf + 31779 60.808 * * [simplify]: Extracting #7: cost 0 inf + 34325 60.821 * * [simplify]: Extracting #8: cost 0 inf + 34324 60.835 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 60.835 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 60.835 * * * * [progress]: [ 69 / 112 ] simplifiying candidate # 60.836 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 60.836 * * [simplify]: iters left: 6 (15 enodes) 60.845 * * [simplify]: iters left: 5 (70 enodes) 60.870 * * [simplify]: iters left: 4 (133 enodes) 60.900 * * [simplify]: iters left: 3 (282 enodes) 61.002 * * [simplify]: Extracting #0: cost 1 inf + 0 61.003 * * [simplify]: Extracting #1: cost 19 inf + 0 61.003 * * [simplify]: Extracting #2: cost 106 inf + 0 61.004 * * [simplify]: Extracting #3: cost 171 inf + 76 61.006 * * [simplify]: Extracting #4: cost 195 inf + 1725 61.010 * * [simplify]: Extracting #5: cost 113 inf + 18537 61.022 * * [simplify]: Extracting #6: cost 12 inf + 44397 61.038 * * [simplify]: Extracting #7: cost 2 inf + 45355 61.052 * * [simplify]: Extracting #8: cost 0 inf + 45762 61.060 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 61.060 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 61.060 * * * * [progress]: [ 70 / 112 ] simplifiying candidate # 61.061 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 61.061 * * [simplify]: iters left: 6 (15 enodes) 61.066 * * [simplify]: iters left: 5 (65 enodes) 61.078 * * [simplify]: iters left: 4 (111 enodes) 61.114 * * [simplify]: iters left: 3 (221 enodes) 61.190 * * [simplify]: Extracting #0: cost 1 inf + 0 61.190 * * [simplify]: Extracting #1: cost 15 inf + 0 61.190 * * [simplify]: Extracting #2: cost 80 inf + 0 61.190 * * [simplify]: Extracting #3: cost 139 inf + 74 61.191 * * [simplify]: Extracting #4: cost 158 inf + 1498 61.194 * * [simplify]: Extracting #5: cost 76 inf + 15601 61.199 * * [simplify]: Extracting #6: cost 9 inf + 31779 61.208 * * [simplify]: Extracting #7: cost 0 inf + 34325 61.215 * * [simplify]: Extracting #8: cost 0 inf + 34324 61.222 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 61.222 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 61.222 * * * * [progress]: [ 71 / 112 ] simplifiying candidate # 61.222 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 61.222 * * [simplify]: iters left: 6 (15 enodes) 61.231 * * [simplify]: iters left: 5 (65 enodes) 61.253 * * [simplify]: iters left: 4 (111 enodes) 61.292 * * [simplify]: iters left: 3 (221 enodes) 61.368 * * [simplify]: Extracting #0: cost 1 inf + 0 61.368 * * [simplify]: Extracting #1: cost 15 inf + 0 61.368 * * [simplify]: Extracting #2: cost 80 inf + 0 61.369 * * [simplify]: Extracting #3: cost 139 inf + 74 61.370 * * [simplify]: Extracting #4: cost 158 inf + 1498 61.376 * * [simplify]: Extracting #5: cost 76 inf + 15601 61.386 * * [simplify]: Extracting #6: cost 9 inf + 31779 61.399 * * [simplify]: Extracting #7: cost 0 inf + 34325 61.413 * * [simplify]: Extracting #8: cost 0 inf + 34324 61.420 * [simplify]: Simplified to (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 61.420 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 61.421 * * * * [progress]: [ 72 / 112 ] simplifiying candidate # 61.421 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 61.421 * * [simplify]: iters left: 6 (15 enodes) 61.429 * * [simplify]: iters left: 5 (70 enodes) 61.443 * * [simplify]: iters left: 4 (133 enodes) 61.478 * * [simplify]: iters left: 3 (282 enodes) 61.593 * * [simplify]: Extracting #0: cost 1 inf + 0 61.593 * * [simplify]: Extracting #1: cost 19 inf + 0 61.594 * * [simplify]: Extracting #2: cost 106 inf + 0 61.595 * * [simplify]: Extracting #3: cost 171 inf + 76 61.597 * * [simplify]: Extracting #4: cost 195 inf + 1725 61.602 * * [simplify]: Extracting #5: cost 113 inf + 18537 61.614 * * [simplify]: Extracting #6: cost 12 inf + 44397 61.630 * * [simplify]: Extracting #7: cost 2 inf + 45355 61.646 * * [simplify]: Extracting #8: cost 0 inf + 45762 61.667 * [simplify]: Simplified to (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 61.668 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 61.668 * * * * [progress]: [ 73 / 112 ] simplifiying candidate # 61.668 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 61.668 * * [simplify]: iters left: 6 (15 enodes) 61.677 * * [simplify]: iters left: 5 (64 enodes) 61.700 * * [simplify]: iters left: 4 (111 enodes) 61.730 * * [simplify]: iters left: 3 (214 enodes) 61.793 * * [simplify]: Extracting #0: cost 1 inf + 0 61.793 * * [simplify]: Extracting #1: cost 14 inf + 0 61.794 * * [simplify]: Extracting #2: cost 101 inf + 0 61.794 * * [simplify]: Extracting #3: cost 176 inf + 3 61.795 * * [simplify]: Extracting #4: cost 181 inf + 1686 61.798 * * [simplify]: Extracting #5: cost 82 inf + 21618 61.805 * * [simplify]: Extracting #6: cost 3 inf + 41021 61.812 * * [simplify]: Extracting #7: cost 0 inf + 41900 61.823 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 61.823 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 61.823 * * * * [progress]: [ 74 / 112 ] simplifiying candidate # 61.824 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 61.824 * * [simplify]: iters left: 6 (15 enodes) 61.833 * * [simplify]: iters left: 5 (64 enodes) 61.849 * * [simplify]: iters left: 4 (111 enodes) 61.870 * * [simplify]: iters left: 3 (214 enodes) 61.958 * * [simplify]: Extracting #0: cost 1 inf + 0 61.958 * * [simplify]: Extracting #1: cost 14 inf + 0 61.959 * * [simplify]: Extracting #2: cost 101 inf + 0 61.960 * * [simplify]: Extracting #3: cost 176 inf + 3 61.961 * * [simplify]: Extracting #4: cost 181 inf + 1686 61.967 * * [simplify]: Extracting #5: cost 82 inf + 21618 61.979 * * [simplify]: Extracting #6: cost 3 inf + 41021 61.994 * * [simplify]: Extracting #7: cost 0 inf + 41900 62.007 * [simplify]: Simplified to (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 62.007 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 62.009 * * * * [progress]: [ 75 / 112 ] simplifiying candidate # 62.010 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 62.010 * * [simplify]: iters left: 6 (15 enodes) 62.019 * * [simplify]: iters left: 5 (69 enodes) 62.049 * * [simplify]: iters left: 4 (133 enodes) 62.098 * * [simplify]: iters left: 3 (275 enodes) 62.198 * * [simplify]: Extracting #0: cost 1 inf + 0 62.198 * * [simplify]: Extracting #1: cost 16 inf + 0 62.198 * * [simplify]: Extracting #2: cost 118 inf + 0 62.199 * * [simplify]: Extracting #3: cost 203 inf + 4 62.200 * * [simplify]: Extracting #4: cost 176 inf + 7194 62.205 * * [simplify]: Extracting #5: cost 49 inf + 37429 62.219 * * [simplify]: Extracting #6: cost 3 inf + 50536 62.233 * * [simplify]: Extracting #7: cost 0 inf + 51842 62.241 * [simplify]: Simplified to (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 62.241 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* -1/2 (log k)) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 62.241 * * * * [progress]: [ 76 / 112 ] simplifiying candidate # 62.241 * * * * [progress]: [ 77 / 112 ] simplifiying candidate # 62.241 * * * * [progress]: [ 78 / 112 ] simplifiying candidate # 62.242 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 62.242 * * [simplify]: iters left: 6 (17 enodes) 62.248 * * [simplify]: iters left: 5 (82 enodes) 62.270 * * [simplify]: iters left: 4 (191 enodes) 62.330 * * [simplify]: Extracting #0: cost 1 inf + 0 62.330 * * [simplify]: Extracting #1: cost 37 inf + 0 62.331 * * [simplify]: Extracting #2: cost 149 inf + 1 62.331 * * [simplify]: Extracting #3: cost 165 inf + 1227 62.333 * * [simplify]: Extracting #4: cost 144 inf + 7368 62.338 * * [simplify]: Extracting #5: cost 95 inf + 22558 62.347 * * [simplify]: Extracting #6: cost 16 inf + 75962 62.358 * * [simplify]: Extracting #7: cost 0 inf + 89142 62.369 * [simplify]: Simplified to (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))) 62.369 * [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)))) (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2))))) 62.369 * * * * [progress]: [ 79 / 112 ] simplifiying candidate # 62.369 * * * * [progress]: [ 80 / 112 ] simplifiying candidate # 62.369 * * * * [progress]: [ 81 / 112 ] simplifiying candidate # 62.369 * * * * [progress]: [ 82 / 112 ] simplifiying candidate # 62.369 * * * * [progress]: [ 83 / 112 ] simplifiying candidate # 62.370 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.370 * * [simplify]: iters left: 6 (15 enodes) 62.375 * * [simplify]: iters left: 5 (65 enodes) 62.388 * * [simplify]: iters left: 4 (115 enodes) 62.411 * * [simplify]: iters left: 3 (198 enodes) 62.478 * * [simplify]: iters left: 2 (365 enodes) 62.594 * * [simplify]: Extracting #0: cost 1 inf + 0 62.594 * * [simplify]: Extracting #1: cost 27 inf + 0 62.595 * * [simplify]: Extracting #2: cost 87 inf + 0 62.595 * * [simplify]: Extracting #3: cost 100 inf + 7 62.596 * * [simplify]: Extracting #4: cost 152 inf + 10 62.597 * * [simplify]: Extracting #5: cost 152 inf + 7104 62.600 * * [simplify]: Extracting #6: cost 85 inf + 28738 62.613 * * [simplify]: Extracting #7: cost 14 inf + 69338 62.629 * * [simplify]: Extracting #8: cost 0 inf + 80609 62.643 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.643 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 62.643 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.643 * * [simplify]: iters left: 6 (15 enodes) 62.649 * * [simplify]: iters left: 5 (65 enodes) 62.663 * * [simplify]: iters left: 4 (115 enodes) 62.688 * * [simplify]: iters left: 3 (198 enodes) 62.760 * * [simplify]: iters left: 2 (365 enodes) 62.924 * * [simplify]: Extracting #0: cost 1 inf + 0 62.924 * * [simplify]: Extracting #1: cost 27 inf + 0 62.925 * * [simplify]: Extracting #2: cost 87 inf + 0 62.925 * * [simplify]: Extracting #3: cost 100 inf + 7 62.926 * * [simplify]: Extracting #4: cost 152 inf + 10 62.928 * * [simplify]: Extracting #5: cost 152 inf + 7104 62.935 * * [simplify]: Extracting #6: cost 85 inf + 28738 62.951 * * [simplify]: Extracting #7: cost 14 inf + 69338 62.970 * * [simplify]: Extracting #8: cost 0 inf + 80609 62.990 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 62.990 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)))) 62.991 * * * * [progress]: [ 84 / 112 ] simplifiying candidate # 62.991 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 62.991 * * [simplify]: iters left: 6 (15 enodes) 63.001 * * [simplify]: iters left: 5 (65 enodes) 63.025 * * [simplify]: iters left: 4 (112 enodes) 63.067 * * [simplify]: iters left: 3 (184 enodes) 63.131 * * [simplify]: iters left: 2 (322 enodes) 63.225 * * [simplify]: Extracting #0: cost 1 inf + 0 63.225 * * [simplify]: Extracting #1: cost 4 inf + 0 63.225 * * [simplify]: Extracting #2: cost 10 inf + 0 63.225 * * [simplify]: Extracting #3: cost 41 inf + 0 63.226 * * [simplify]: Extracting #4: cost 118 inf + 4 63.226 * * [simplify]: Extracting #5: cost 120 inf + 3460 63.229 * * [simplify]: Extracting #6: cost 44 inf + 25049 63.233 * * [simplify]: Extracting #7: cost 4 inf + 41704 63.239 * * [simplify]: Extracting #8: cost 0 inf + 43509 63.244 * * [simplify]: Extracting #9: cost 0 inf + 43348 63.251 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 63.252 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 63.252 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 63.252 * * [simplify]: iters left: 6 (15 enodes) 63.261 * * [simplify]: iters left: 5 (65 enodes) 63.287 * * [simplify]: iters left: 4 (112 enodes) 63.312 * * [simplify]: iters left: 3 (184 enodes) 63.377 * * [simplify]: iters left: 2 (322 enodes) 63.494 * * [simplify]: Extracting #0: cost 1 inf + 0 63.494 * * [simplify]: Extracting #1: cost 4 inf + 0 63.494 * * [simplify]: Extracting #2: cost 10 inf + 0 63.494 * * [simplify]: Extracting #3: cost 41 inf + 0 63.495 * * [simplify]: Extracting #4: cost 118 inf + 4 63.496 * * [simplify]: Extracting #5: cost 120 inf + 3460 63.498 * * [simplify]: Extracting #6: cost 44 inf + 25049 63.503 * * [simplify]: Extracting #7: cost 4 inf + 41704 63.508 * * [simplify]: Extracting #8: cost 0 inf + 43509 63.516 * * [simplify]: Extracting #9: cost 0 inf + 43348 63.527 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 63.527 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))))) 63.527 * * * * [progress]: [ 85 / 112 ] simplifiying candidate # 63.527 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 63.528 * * [simplify]: iters left: 6 (15 enodes) 63.538 * * [simplify]: iters left: 5 (66 enodes) 63.568 * * [simplify]: iters left: 4 (121 enodes) 63.609 * * [simplify]: iters left: 3 (219 enodes) 63.659 * * [simplify]: iters left: 2 (386 enodes) 63.783 * * [simplify]: Extracting #0: cost 1 inf + 0 63.783 * * [simplify]: Extracting #1: cost 30 inf + 0 63.783 * * [simplify]: Extracting #2: cost 85 inf + 0 63.783 * * [simplify]: Extracting #3: cost 94 inf + 220 63.784 * * [simplify]: Extracting #4: cost 138 inf + 4512 63.785 * * [simplify]: Extracting #5: cost 140 inf + 12409 63.789 * * [simplify]: Extracting #6: cost 83 inf + 28661 63.804 * * [simplify]: Extracting #7: cost 13 inf + 69499 63.816 * * [simplify]: Extracting #8: cost 0 inf + 79561 63.826 * * [simplify]: Extracting #9: cost 0 inf + 78826 63.839 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 63.839 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 63.839 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 63.839 * * [simplify]: iters left: 6 (15 enodes) 63.849 * * [simplify]: iters left: 5 (66 enodes) 63.868 * * [simplify]: iters left: 4 (121 enodes) 63.897 * * [simplify]: iters left: 3 (219 enodes) 63.956 * * [simplify]: iters left: 2 (386 enodes) 64.064 * * [simplify]: Extracting #0: cost 1 inf + 0 64.065 * * [simplify]: Extracting #1: cost 30 inf + 0 64.065 * * [simplify]: Extracting #2: cost 85 inf + 0 64.066 * * [simplify]: Extracting #3: cost 94 inf + 220 64.067 * * [simplify]: Extracting #4: cost 138 inf + 4512 64.069 * * [simplify]: Extracting #5: cost 140 inf + 12409 64.076 * * [simplify]: Extracting #6: cost 83 inf + 28661 64.084 * * [simplify]: Extracting #7: cost 13 inf + 69499 64.093 * * [simplify]: Extracting #8: cost 0 inf + 79561 64.102 * * [simplify]: Extracting #9: cost 0 inf + 78826 64.116 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)) 64.116 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow k -1/4)))) 64.116 * * * * [progress]: [ 86 / 112 ] simplifiying candidate # 64.117 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 64.117 * * [simplify]: iters left: 6 (15 enodes) 64.127 * * [simplify]: iters left: 5 (68 enodes) 64.153 * * [simplify]: iters left: 4 (128 enodes) 64.193 * * [simplify]: iters left: 3 (258 enodes) 64.276 * * [simplify]: Extracting #0: cost 1 inf + 0 64.276 * * [simplify]: Extracting #1: cost 25 inf + 0 64.276 * * [simplify]: Extracting #2: cost 105 inf + 0 64.277 * * [simplify]: Extracting #3: cost 146 inf + 4 64.279 * * [simplify]: Extracting #4: cost 150 inf + 349 64.282 * * [simplify]: Extracting #5: cost 97 inf + 11720 64.298 * * [simplify]: Extracting #6: cost 11 inf + 62671 64.309 * * [simplify]: Extracting #7: cost 0 inf + 69737 64.317 * * [simplify]: Extracting #8: cost 0 inf + 69697 64.325 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 64.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)))) 64.326 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 64.326 * * [simplify]: iters left: 6 (15 enodes) 64.332 * * [simplify]: iters left: 5 (68 enodes) 64.351 * * [simplify]: iters left: 4 (128 enodes) 64.379 * * [simplify]: iters left: 3 (258 enodes) 64.467 * * [simplify]: Extracting #0: cost 1 inf + 0 64.467 * * [simplify]: Extracting #1: cost 25 inf + 0 64.467 * * [simplify]: Extracting #2: cost 105 inf + 0 64.468 * * [simplify]: Extracting #3: cost 146 inf + 4 64.468 * * [simplify]: Extracting #4: cost 150 inf + 349 64.470 * * [simplify]: Extracting #5: cost 97 inf + 11720 64.479 * * [simplify]: Extracting #6: cost 11 inf + 62671 64.487 * * [simplify]: Extracting #7: cost 0 inf + 69737 64.500 * * [simplify]: Extracting #8: cost 0 inf + 69697 64.517 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 64.517 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)))) 64.517 * * * * [progress]: [ 87 / 112 ] simplifiying candidate # 64.517 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 64.518 * * [simplify]: iters left: 6 (15 enodes) 64.527 * * [simplify]: iters left: 5 (68 enodes) 64.552 * * [simplify]: iters left: 4 (121 enodes) 64.582 * * [simplify]: iters left: 3 (221 enodes) 64.650 * * [simplify]: iters left: 2 (430 enodes) 64.808 * * [simplify]: Extracting #0: cost 1 inf + 0 64.809 * * [simplify]: Extracting #1: cost 30 inf + 0 64.809 * * [simplify]: Extracting #2: cost 100 inf + 0 64.810 * * [simplify]: Extracting #3: cost 167 inf + 2 64.811 * * [simplify]: Extracting #4: cost 190 inf + 857 64.813 * * [simplify]: Extracting #5: cost 149 inf + 6258 64.817 * * [simplify]: Extracting #6: cost 62 inf + 38713 64.839 * * [simplify]: Extracting #7: cost 5 inf + 84522 64.857 * * [simplify]: Extracting #8: cost 0 inf + 88855 64.868 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 64.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))))) 64.869 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 64.869 * * [simplify]: iters left: 6 (15 enodes) 64.874 * * [simplify]: iters left: 5 (68 enodes) 64.889 * * [simplify]: iters left: 4 (121 enodes) 64.920 * * [simplify]: iters left: 3 (221 enodes) 64.980 * * [simplify]: iters left: 2 (430 enodes) 65.110 * * [simplify]: Extracting #0: cost 1 inf + 0 65.110 * * [simplify]: Extracting #1: cost 30 inf + 0 65.111 * * [simplify]: Extracting #2: cost 100 inf + 0 65.112 * * [simplify]: Extracting #3: cost 167 inf + 2 65.113 * * [simplify]: Extracting #4: cost 190 inf + 857 65.117 * * [simplify]: Extracting #5: cost 149 inf + 6258 65.126 * * [simplify]: Extracting #6: cost 62 inf + 38713 65.151 * * [simplify]: Extracting #7: cost 5 inf + 84522 65.173 * * [simplify]: Extracting #8: cost 0 inf + 88855 65.194 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 65.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))))) 65.194 * * * * [progress]: [ 88 / 112 ] simplifiying candidate # 65.195 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 65.195 * * [simplify]: iters left: 6 (15 enodes) 65.203 * * [simplify]: iters left: 5 (69 enodes) 65.219 * * [simplify]: iters left: 4 (134 enodes) 65.271 * * [simplify]: iters left: 3 (272 enodes) 65.383 * * [simplify]: Extracting #0: cost 1 inf + 0 65.383 * * [simplify]: Extracting #1: cost 32 inf + 0 65.384 * * [simplify]: Extracting #2: cost 111 inf + 0 65.384 * * [simplify]: Extracting #3: cost 143 inf + 218 65.385 * * [simplify]: Extracting #4: cost 132 inf + 3766 65.393 * * [simplify]: Extracting #5: cost 38 inf + 46373 65.402 * * [simplify]: Extracting #6: cost 1 inf + 67129 65.418 * * [simplify]: Extracting #7: cost 0 inf + 67118 65.434 * * [simplify]: Extracting #8: cost 0 inf + 67038 65.450 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 65.450 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))))) 65.451 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 65.451 * * [simplify]: iters left: 6 (15 enodes) 65.462 * * [simplify]: iters left: 5 (69 enodes) 65.489 * * [simplify]: iters left: 4 (134 enodes) 65.523 * * [simplify]: iters left: 3 (272 enodes) 65.623 * * [simplify]: Extracting #0: cost 1 inf + 0 65.623 * * [simplify]: Extracting #1: cost 32 inf + 0 65.624 * * [simplify]: Extracting #2: cost 111 inf + 0 65.625 * * [simplify]: Extracting #3: cost 143 inf + 218 65.626 * * [simplify]: Extracting #4: cost 132 inf + 3766 65.634 * * [simplify]: Extracting #5: cost 38 inf + 46373 65.649 * * [simplify]: Extracting #6: cost 1 inf + 67129 65.665 * * [simplify]: Extracting #7: cost 0 inf + 67118 65.682 * * [simplify]: Extracting #8: cost 0 inf + 67038 65.698 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 65.698 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)))) 65.698 * * * * [progress]: [ 89 / 112 ] simplifiying candidate # 65.699 * [simplify]: Simplifying (pow (cbrt k) -1/2) 65.699 * * [simplify]: iters left: 2 (4 enodes) 65.701 * * [simplify]: iters left: 1 (17 enodes) 65.705 * * [simplify]: Extracting #0: cost 1 inf + 0 65.705 * * [simplify]: Extracting #1: cost 5 inf + 0 65.705 * * [simplify]: Extracting #2: cost 9 inf + 1 65.705 * * [simplify]: Extracting #3: cost 8 inf + 3 65.705 * * [simplify]: Extracting #4: cost 1 inf + 1334 65.705 * * [simplify]: Extracting #5: cost 0 inf + 1626 65.705 * [simplify]: Simplified to (pow (cbrt k) -1/2) 65.705 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 65.706 * * * * [progress]: [ 90 / 112 ] simplifiying candidate # 65.706 * [simplify]: Simplifying (pow (sqrt k) -1/2) 65.706 * * [simplify]: iters left: 2 (4 enodes) 65.707 * * [simplify]: iters left: 1 (17 enodes) 65.711 * * [simplify]: Extracting #0: cost 1 inf + 0 65.711 * * [simplify]: Extracting #1: cost 5 inf + 0 65.711 * * [simplify]: Extracting #2: cost 9 inf + 1 65.711 * * [simplify]: Extracting #3: cost 8 inf + 3 65.712 * * [simplify]: Extracting #4: cost 1 inf + 1094 65.712 * * [simplify]: Extracting #5: cost 0 inf + 1346 65.712 * [simplify]: Simplified to (pow (sqrt k) -1/2) 65.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 65.712 * * * * [progress]: [ 91 / 112 ] simplifiying candidate # 65.712 * [simplify]: Simplifying (pow k -1/2) 65.712 * * [simplify]: iters left: 1 (3 enodes) 65.713 * * [simplify]: Extracting #0: cost 1 inf + 0 65.713 * * [simplify]: Extracting #1: cost 5 inf + 0 65.713 * * [simplify]: Extracting #2: cost 4 inf + 2 65.713 * * [simplify]: Extracting #3: cost 1 inf + 427 65.714 * * [simplify]: Extracting #4: cost 0 inf + 639 65.714 * [simplify]: Simplified to (pow k -1/2) 65.714 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) (pow k -1/2))) 65.714 * * * * [progress]: [ 92 / 112 ] simplifiying candidate # 65.714 * [simplify]: Simplifying (cbrt (pow k -1/2)) 65.714 * * [simplify]: iters left: 2 (4 enodes) 65.715 * * [simplify]: iters left: 1 (17 enodes) 65.719 * * [simplify]: Extracting #0: cost 1 inf + 0 65.719 * * [simplify]: Extracting #1: cost 3 inf + 0 65.719 * * [simplify]: Extracting #2: cost 7 inf + 0 65.720 * * [simplify]: Extracting #3: cost 8 inf + 2 65.720 * * [simplify]: Extracting #4: cost 3 inf + 1223 65.720 * * [simplify]: Extracting #5: cost 1 inf + 1436 65.720 * * [simplify]: Extracting #6: cost 0 inf + 1648 65.720 * [simplify]: Simplified to (cbrt (pow k -1/2)) 65.720 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 65.720 * * * * [progress]: [ 93 / 112 ] simplifiying candidate # 65.720 * [simplify]: Simplifying (sqrt (pow k -1/2)) 65.720 * * [simplify]: iters left: 2 (4 enodes) 65.722 * * [simplify]: iters left: 1 (17 enodes) 65.726 * * [simplify]: Extracting #0: cost 1 inf + 0 65.726 * * [simplify]: Extracting #1: cost 4 inf + 0 65.726 * * [simplify]: Extracting #2: cost 10 inf + 0 65.726 * * [simplify]: Extracting #3: cost 8 inf + 3 65.726 * * [simplify]: Extracting #4: cost 1 inf + 1356 65.726 * * [simplify]: Extracting #5: cost 0 inf + 1568 65.727 * [simplify]: Simplified to (sqrt (pow k -1/2)) 65.727 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) (sqrt (pow k -1/2)))) 65.727 * * * * [progress]: [ 94 / 112 ] simplifiying candidate # 65.727 * [simplify]: Simplifying (pow k -1/2) 65.727 * * [simplify]: iters left: 1 (3 enodes) 65.729 * * [simplify]: Extracting #0: cost 1 inf + 0 65.729 * * [simplify]: Extracting #1: cost 5 inf + 0 65.730 * * [simplify]: Extracting #2: cost 4 inf + 2 65.730 * * [simplify]: Extracting #3: cost 1 inf + 427 65.730 * * [simplify]: Extracting #4: cost 0 inf + 639 65.730 * [simplify]: Simplified to (pow k -1/2) 65.730 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (pow k -1/2))) 65.730 * * * * [progress]: [ 95 / 112 ] simplifiying candidate # 65.730 * [simplify]: Simplifying (pow k (/ -1/2 2)) 65.730 * * [simplify]: iters left: 3 (5 enodes) 65.734 * * [simplify]: iters left: 2 (20 enodes) 65.743 * * [simplify]: iters left: 1 (37 enodes) 65.762 * * [simplify]: Extracting #0: cost 1 inf + 0 65.762 * * [simplify]: Extracting #1: cost 9 inf + 0 65.762 * * [simplify]: Extracting #2: cost 12 inf + 2 65.762 * * [simplify]: Extracting #3: cost 7 inf + 852 65.762 * * [simplify]: Extracting #4: cost 0 inf + 2667 65.763 * [simplify]: Simplified to (pow k -1/4) 65.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) (pow k -1/4))) 65.763 * * * * [progress]: [ 96 / 112 ] simplifiying candidate # 65.763 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 65.763 * * [simplify]: iters left: 5 (7 enodes) 65.766 * * [simplify]: iters left: 4 (32 enodes) 65.772 * * [simplify]: iters left: 3 (57 enodes) 65.782 * * [simplify]: iters left: 2 (90 enodes) 65.809 * * [simplify]: iters left: 1 (170 enodes) 65.883 * * [simplify]: Extracting #0: cost 1 inf + 0 65.884 * * [simplify]: Extracting #1: cost 13 inf + 0 65.884 * * [simplify]: Extracting #2: cost 54 inf + 2 65.884 * * [simplify]: Extracting #3: cost 89 inf + 6 65.884 * * [simplify]: Extracting #4: cost 78 inf + 1344 65.886 * * [simplify]: Extracting #5: cost 20 inf + 14664 65.890 * * [simplify]: Extracting #6: cost 1 inf + 22045 65.894 * * [simplify]: Extracting #7: cost 0 inf + 21300 65.898 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 65.898 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)))) 65.898 * * * * [progress]: [ 97 / 112 ] simplifiying candidate # 65.898 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 65.898 * * [simplify]: iters left: 6 (12 enodes) 65.902 * * [simplify]: iters left: 5 (51 enodes) 65.915 * * [simplify]: iters left: 4 (84 enodes) 65.939 * * [simplify]: iters left: 3 (127 enodes) 65.962 * * [simplify]: iters left: 2 (212 enodes) 66.039 * * [simplify]: iters left: 1 (389 enodes) 66.219 * * [simplify]: Extracting #0: cost 1 inf + 0 66.219 * * [simplify]: Extracting #1: cost 3 inf + 0 66.219 * * [simplify]: Extracting #2: cost 5 inf + 0 66.220 * * [simplify]: Extracting #3: cost 34 inf + 0 66.221 * * [simplify]: Extracting #4: cost 117 inf + 1 66.222 * * [simplify]: Extracting #5: cost 168 inf + 176 66.224 * * [simplify]: Extracting #6: cost 164 inf + 851 66.229 * * [simplify]: Extracting #7: cost 84 inf + 17972 66.242 * * [simplify]: Extracting #8: cost 22 inf + 49496 66.262 * * [simplify]: Extracting #9: cost 0 inf + 68747 66.282 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 66.283 * [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))) (pow k -1/2)))) 66.283 * * * * [progress]: [ 98 / 112 ] simplifiying candidate # 66.283 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 66.283 * * [simplify]: iters left: 6 (11 enodes) 66.290 * * [simplify]: iters left: 5 (48 enodes) 66.306 * * [simplify]: iters left: 4 (78 enodes) 66.332 * * [simplify]: iters left: 3 (122 enodes) 66.379 * * [simplify]: iters left: 2 (223 enodes) 66.456 * * [simplify]: iters left: 1 (408 enodes) 66.629 * * [simplify]: Extracting #0: cost 1 inf + 0 66.629 * * [simplify]: Extracting #1: cost 4 inf + 0 66.630 * * [simplify]: Extracting #2: cost 37 inf + 0 66.630 * * [simplify]: Extracting #3: cost 135 inf + 1 66.632 * * [simplify]: Extracting #4: cost 179 inf + 220 66.634 * * [simplify]: Extracting #5: cost 164 inf + 2131 66.640 * * [simplify]: Extracting #6: cost 85 inf + 15047 66.652 * * [simplify]: Extracting #7: cost 22 inf + 54880 66.674 * * [simplify]: Extracting #8: cost 0 inf + 75621 66.688 * * [simplify]: Extracting #9: cost 0 inf + 75008 66.700 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 66.700 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)))) 66.700 * * * * [progress]: [ 99 / 112 ] simplifiying candidate # 66.700 * * * * [progress]: [ 100 / 112 ] simplifiying candidate # 66.700 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 66.701 * * [simplify]: iters left: 6 (11 enodes) 66.705 * * [simplify]: iters left: 5 (51 enodes) 66.715 * * [simplify]: iters left: 4 (87 enodes) 66.745 * * [simplify]: iters left: 3 (146 enodes) 66.791 * * [simplify]: iters left: 2 (263 enodes) 66.861 * * [simplify]: iters left: 1 (485 enodes) 67.080 * * [simplify]: Extracting #0: cost 1 inf + 0 67.080 * * [simplify]: Extracting #1: cost 27 inf + 0 67.080 * * [simplify]: Extracting #2: cost 109 inf + 1 67.081 * * [simplify]: Extracting #3: cost 198 inf + 178 67.082 * * [simplify]: Extracting #4: cost 189 inf + 1807 67.085 * * [simplify]: Extracting #5: cost 91 inf + 13674 67.093 * * [simplify]: Extracting #6: cost 24 inf + 43528 67.109 * * [simplify]: Extracting #7: cost 0 inf + 64461 67.131 * * [simplify]: Extracting #8: cost 0 inf + 64381 67.157 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 67.157 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)))) 67.157 * * * * [progress]: [ 101 / 112 ] simplifiying candidate # 67.157 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 67.158 * * [simplify]: iters left: 6 (12 enodes) 67.166 * * [simplify]: iters left: 5 (52 enodes) 67.188 * * [simplify]: iters left: 4 (104 enodes) 67.231 * * [simplify]: iters left: 3 (223 enodes) 67.308 * * [simplify]: Extracting #0: cost 1 inf + 0 67.309 * * [simplify]: Extracting #1: cost 31 inf + 0 67.309 * * [simplify]: Extracting #2: cost 109 inf + 0 67.310 * * [simplify]: Extracting #3: cost 108 inf + 10 67.311 * * [simplify]: Extracting #4: cost 90 inf + 3894 67.315 * * [simplify]: Extracting #5: cost 40 inf + 27466 67.324 * * [simplify]: Extracting #6: cost 0 inf + 54412 67.335 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 67.335 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 67.335 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 67.335 * * * * [progress]: [ 103 / 112 ] simplifiying candidate # 67.335 * * * * [progress]: [ 104 / 112 ] simplifiying candidate # 67.336 * [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))))) 67.336 * * [simplify]: iters left: 6 (37 enodes) 67.357 * * [simplify]: iters left: 5 (187 enodes) 67.403 * * [simplify]: iters left: 4 (488 enodes) 67.686 * * [simplify]: Extracting #0: cost 1 inf + 0 67.686 * * [simplify]: Extracting #1: cost 57 inf + 0 67.687 * * [simplify]: Extracting #2: cost 294 inf + 0 67.691 * * [simplify]: Extracting #3: cost 529 inf + 199 67.696 * * [simplify]: Extracting #4: cost 521 inf + 5092 67.720 * * [simplify]: Extracting #5: cost 310 inf + 81150 67.788 * * [simplify]: Extracting #6: cost 37 inf + 225232 67.888 * * [simplify]: Extracting #7: cost 0 inf + 247600 67.962 * * [simplify]: Extracting #8: cost 0 inf + 245527 68.067 * * [simplify]: Extracting #9: cost 0 inf + 245486 68.172 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 68.172 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (pow k -1/2))) 68.173 * * * * [progress]: [ 105 / 112 ] simplifiying candidate # 68.173 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 68.173 * * [simplify]: iters left: 6 (15 enodes) 68.183 * * [simplify]: iters left: 5 (65 enodes) 68.206 * * [simplify]: iters left: 4 (123 enodes) 68.264 * * [simplify]: iters left: 3 (362 enodes) 68.451 * * [simplify]: Extracting #0: cost 1 inf + 0 68.451 * * [simplify]: Extracting #1: cost 37 inf + 0 68.452 * * [simplify]: Extracting #2: cost 214 inf + 1 68.455 * * [simplify]: Extracting #3: cost 359 inf + 976 68.461 * * [simplify]: Extracting #4: cost 248 inf + 22396 68.488 * * [simplify]: Extracting #5: cost 36 inf + 77801 68.503 * * [simplify]: Extracting #6: cost 1 inf + 88796 68.518 * * [simplify]: Extracting #7: cost 0 inf + 89336 68.548 * * [simplify]: Extracting #8: cost 0 inf + 89253 68.571 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 68.571 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (pow k -1/2))) 68.571 * * * * [progress]: [ 106 / 112 ] simplifiying candidate # 68.571 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 68.571 * * [simplify]: iters left: 6 (16 enodes) 68.579 * * [simplify]: iters left: 5 (67 enodes) 68.599 * * [simplify]: iters left: 4 (134 enodes) 68.659 * * [simplify]: iters left: 3 (407 enodes) 68.831 * * [simplify]: Extracting #0: cost 1 inf + 0 68.831 * * [simplify]: Extracting #1: cost 39 inf + 0 68.831 * * [simplify]: Extracting #2: cost 241 inf + 72 68.833 * * [simplify]: Extracting #3: cost 449 inf + 888 68.838 * * [simplify]: Extracting #4: cost 283 inf + 39118 68.880 * * [simplify]: Extracting #5: cost 24 inf + 116222 68.909 * * [simplify]: Extracting #6: cost 0 inf + 121984 68.930 * * [simplify]: Extracting #7: cost 0 inf + 121983 68.964 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 68.964 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (pow k -1/2))) 68.964 * * * * [progress]: [ 107 / 112 ] simplifiying candidate # 68.965 * [simplify]: Simplifying (* 2 (* n PI)) 68.965 * * [simplify]: iters left: 4 (5 enodes) 68.970 * * [simplify]: iters left: 3 (19 enodes) 68.976 * * [simplify]: iters left: 2 (27 enodes) 68.984 * * [simplify]: iters left: 1 (32 enodes) 68.992 * * [simplify]: Extracting #0: cost 1 inf + 0 68.992 * * [simplify]: Extracting #1: cost 8 inf + 0 68.992 * * [simplify]: Extracting #2: cost 7 inf + 45 68.992 * * [simplify]: Extracting #3: cost 0 inf + 421 68.992 * [simplify]: Simplified to (* (* PI n) 2) 68.992 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 68.992 * * * * [progress]: [ 108 / 112 ] simplifiying candidate # 68.993 * [simplify]: Simplifying (* 2 (* n PI)) 68.993 * * [simplify]: iters left: 4 (5 enodes) 68.994 * * [simplify]: iters left: 3 (19 enodes) 68.997 * * [simplify]: iters left: 2 (27 enodes) 69.002 * * [simplify]: iters left: 1 (32 enodes) 69.007 * * [simplify]: Extracting #0: cost 1 inf + 0 69.007 * * [simplify]: Extracting #1: cost 8 inf + 0 69.007 * * [simplify]: Extracting #2: cost 7 inf + 45 69.007 * * [simplify]: Extracting #3: cost 0 inf + 421 69.007 * [simplify]: Simplified to (* (* PI n) 2) 69.007 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 69.007 * * * * [progress]: [ 109 / 112 ] simplifiying candidate # 69.007 * [simplify]: Simplifying (* 2 (* n PI)) 69.007 * * [simplify]: iters left: 4 (5 enodes) 69.009 * * [simplify]: iters left: 3 (19 enodes) 69.012 * * [simplify]: iters left: 2 (27 enodes) 69.017 * * [simplify]: iters left: 1 (32 enodes) 69.021 * * [simplify]: Extracting #0: cost 1 inf + 0 69.021 * * [simplify]: Extracting #1: cost 8 inf + 0 69.021 * * [simplify]: Extracting #2: cost 7 inf + 45 69.021 * * [simplify]: Extracting #3: cost 0 inf + 421 69.021 * [simplify]: Simplified to (* (* PI n) 2) 69.022 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 69.022 * * * * [progress]: [ 110 / 112 ] simplifiying candidate # 69.022 * [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)))))))))))))))))))))) 69.022 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 69.022 * * * * [progress]: [ 111 / 112 ] simplifiying candidate # 69.022 * [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)))))))) 69.022 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 69.023 * * * * [progress]: [ 112 / 112 ] simplifiying candidate # 69.023 * [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))))))) 69.023 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 69.023 * * * [progress]: adding candidates to table 70.213 * * [progress]: iteration 4 / 4 70.213 * * * [progress]: picking best candidate 70.255 * * * * [pick]: Picked # 70.255 * * * [progress]: localizing error 70.289 * * * [progress]: generating rewritten candidates 70.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 70.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 70.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 70.350 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 70.391 * * * [progress]: generating series expansions 70.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 70.392 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 70.392 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 70.392 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 70.392 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 70.392 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 70.392 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 70.392 * [taylor]: Taking taylor expansion of 1/2 in k 70.392 * [backup-simplify]: Simplify 1/2 into 1/2 70.392 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.392 * [taylor]: Taking taylor expansion of 1 in k 70.392 * [backup-simplify]: Simplify 1 into 1 70.392 * [taylor]: Taking taylor expansion of k in k 70.392 * [backup-simplify]: Simplify 0 into 0 70.392 * [backup-simplify]: Simplify 1 into 1 70.392 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 70.392 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 70.392 * [taylor]: Taking taylor expansion of 2 in k 70.392 * [backup-simplify]: Simplify 2 into 2 70.393 * [taylor]: Taking taylor expansion of (* n PI) in k 70.393 * [taylor]: Taking taylor expansion of n in k 70.393 * [backup-simplify]: Simplify n into n 70.393 * [taylor]: Taking taylor expansion of PI in k 70.393 * [backup-simplify]: Simplify PI into PI 70.393 * [backup-simplify]: Simplify (* n PI) into (* n PI) 70.393 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 70.393 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 70.393 * [backup-simplify]: Simplify (- 0) into 0 70.394 * [backup-simplify]: Simplify (+ 1 0) into 1 70.394 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.394 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 70.394 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 70.394 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 70.394 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 70.394 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 70.394 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 70.394 * [taylor]: Taking taylor expansion of 1/2 in n 70.394 * [backup-simplify]: Simplify 1/2 into 1/2 70.394 * [taylor]: Taking taylor expansion of (- 1 k) in n 70.394 * [taylor]: Taking taylor expansion of 1 in n 70.394 * [backup-simplify]: Simplify 1 into 1 70.394 * [taylor]: Taking taylor expansion of k in n 70.394 * [backup-simplify]: Simplify k into k 70.395 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.395 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.395 * [taylor]: Taking taylor expansion of 2 in n 70.395 * [backup-simplify]: Simplify 2 into 2 70.395 * [taylor]: Taking taylor expansion of (* n PI) in n 70.395 * [taylor]: Taking taylor expansion of n in n 70.395 * [backup-simplify]: Simplify 0 into 0 70.395 * [backup-simplify]: Simplify 1 into 1 70.395 * [taylor]: Taking taylor expansion of PI in n 70.395 * [backup-simplify]: Simplify PI into PI 70.395 * [backup-simplify]: Simplify (* 0 PI) into 0 70.396 * [backup-simplify]: Simplify (* 2 0) into 0 70.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.398 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.399 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.399 * [backup-simplify]: Simplify (- k) into (- k) 70.400 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 70.400 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 70.401 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.407 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 70.408 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 70.408 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 70.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 70.408 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 70.408 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 70.408 * [taylor]: Taking taylor expansion of 1/2 in n 70.408 * [backup-simplify]: Simplify 1/2 into 1/2 70.408 * [taylor]: Taking taylor expansion of (- 1 k) in n 70.409 * [taylor]: Taking taylor expansion of 1 in n 70.409 * [backup-simplify]: Simplify 1 into 1 70.409 * [taylor]: Taking taylor expansion of k in n 70.409 * [backup-simplify]: Simplify k into k 70.409 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.409 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.409 * [taylor]: Taking taylor expansion of 2 in n 70.409 * [backup-simplify]: Simplify 2 into 2 70.409 * [taylor]: Taking taylor expansion of (* n PI) in n 70.409 * [taylor]: Taking taylor expansion of n in n 70.409 * [backup-simplify]: Simplify 0 into 0 70.409 * [backup-simplify]: Simplify 1 into 1 70.409 * [taylor]: Taking taylor expansion of PI in n 70.409 * [backup-simplify]: Simplify PI into PI 70.409 * [backup-simplify]: Simplify (* 0 PI) into 0 70.410 * [backup-simplify]: Simplify (* 2 0) into 0 70.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.414 * [backup-simplify]: Simplify (- k) into (- k) 70.414 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 70.414 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 70.415 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.417 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 70.418 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 70.418 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 70.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 70.418 * [taylor]: Taking taylor expansion of 1/2 in k 70.418 * [backup-simplify]: Simplify 1/2 into 1/2 70.418 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 70.418 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.418 * [taylor]: Taking taylor expansion of 1 in k 70.418 * [backup-simplify]: Simplify 1 into 1 70.418 * [taylor]: Taking taylor expansion of k in k 70.418 * [backup-simplify]: Simplify 0 into 0 70.418 * [backup-simplify]: Simplify 1 into 1 70.418 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 70.418 * [taylor]: Taking taylor expansion of (log n) in k 70.418 * [taylor]: Taking taylor expansion of n in k 70.418 * [backup-simplify]: Simplify n into n 70.418 * [backup-simplify]: Simplify (log n) into (log n) 70.418 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.418 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.418 * [taylor]: Taking taylor expansion of 2 in k 70.418 * [backup-simplify]: Simplify 2 into 2 70.418 * [taylor]: Taking taylor expansion of PI in k 70.418 * [backup-simplify]: Simplify PI into PI 70.419 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.420 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.421 * [backup-simplify]: Simplify (- 0) into 0 70.421 * [backup-simplify]: Simplify (+ 1 0) into 1 70.422 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.423 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 70.424 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 70.425 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 70.426 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 70.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 70.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.431 * [backup-simplify]: Simplify (- 0) into 0 70.431 * [backup-simplify]: Simplify (+ 0 0) into 0 70.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 70.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.434 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 70.436 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.436 * [taylor]: Taking taylor expansion of 0 in k 70.436 * [backup-simplify]: Simplify 0 into 0 70.436 * [backup-simplify]: Simplify 0 into 0 70.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 70.437 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.439 * [backup-simplify]: Simplify (+ 0 0) into 0 70.440 * [backup-simplify]: Simplify (- 1) into -1 70.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.442 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 70.443 * [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))))) 70.446 * [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))))))) 70.449 * [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))))))) 70.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 70.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 70.455 * [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 70.455 * [backup-simplify]: Simplify (- 0) into 0 70.456 * [backup-simplify]: Simplify (+ 0 0) into 0 70.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 70.458 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.460 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 70.462 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.462 * [taylor]: Taking taylor expansion of 0 in k 70.462 * [backup-simplify]: Simplify 0 into 0 70.462 * [backup-simplify]: Simplify 0 into 0 70.462 * [backup-simplify]: Simplify 0 into 0 70.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 70.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.468 * [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 70.469 * [backup-simplify]: Simplify (+ 0 0) into 0 70.469 * [backup-simplify]: Simplify (- 0) into 0 70.470 * [backup-simplify]: Simplify (+ 0 0) into 0 70.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 70.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 70.478 * [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))))) 70.483 * [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))))) 70.494 * [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))))) 70.494 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 70.494 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 70.494 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.494 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.495 * [taylor]: Taking taylor expansion of 1/2 in k 70.495 * [backup-simplify]: Simplify 1/2 into 1/2 70.495 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.495 * [taylor]: Taking taylor expansion of 1 in k 70.495 * [backup-simplify]: Simplify 1 into 1 70.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.495 * [taylor]: Taking taylor expansion of k in k 70.495 * [backup-simplify]: Simplify 0 into 0 70.495 * [backup-simplify]: Simplify 1 into 1 70.495 * [backup-simplify]: Simplify (/ 1 1) into 1 70.495 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.495 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.495 * [taylor]: Taking taylor expansion of 2 in k 70.495 * [backup-simplify]: Simplify 2 into 2 70.495 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.495 * [taylor]: Taking taylor expansion of PI in k 70.495 * [backup-simplify]: Simplify PI into PI 70.495 * [taylor]: Taking taylor expansion of n in k 70.495 * [backup-simplify]: Simplify n into n 70.495 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.496 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.496 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.496 * [backup-simplify]: Simplify (- 1) into -1 70.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.497 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.497 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.497 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.497 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.497 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.497 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.497 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.497 * [taylor]: Taking taylor expansion of 1/2 in n 70.497 * [backup-simplify]: Simplify 1/2 into 1/2 70.497 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.497 * [taylor]: Taking taylor expansion of 1 in n 70.497 * [backup-simplify]: Simplify 1 into 1 70.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.497 * [taylor]: Taking taylor expansion of k in n 70.498 * [backup-simplify]: Simplify k into k 70.498 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.498 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.498 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.498 * [taylor]: Taking taylor expansion of 2 in n 70.498 * [backup-simplify]: Simplify 2 into 2 70.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.498 * [taylor]: Taking taylor expansion of PI in n 70.498 * [backup-simplify]: Simplify PI into PI 70.498 * [taylor]: Taking taylor expansion of n in n 70.498 * [backup-simplify]: Simplify 0 into 0 70.498 * [backup-simplify]: Simplify 1 into 1 70.498 * [backup-simplify]: Simplify (/ PI 1) into PI 70.499 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.500 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.500 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.500 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.500 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.502 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.503 * [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))))) 70.504 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.504 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.504 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.504 * [taylor]: Taking taylor expansion of 1/2 in n 70.504 * [backup-simplify]: Simplify 1/2 into 1/2 70.504 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.504 * [taylor]: Taking taylor expansion of 1 in n 70.504 * [backup-simplify]: Simplify 1 into 1 70.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.504 * [taylor]: Taking taylor expansion of k in n 70.504 * [backup-simplify]: Simplify k into k 70.504 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.504 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.504 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.504 * [taylor]: Taking taylor expansion of 2 in n 70.504 * [backup-simplify]: Simplify 2 into 2 70.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.504 * [taylor]: Taking taylor expansion of PI in n 70.504 * [backup-simplify]: Simplify PI into PI 70.504 * [taylor]: Taking taylor expansion of n in n 70.504 * [backup-simplify]: Simplify 0 into 0 70.504 * [backup-simplify]: Simplify 1 into 1 70.505 * [backup-simplify]: Simplify (/ PI 1) into PI 70.505 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.506 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.506 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.506 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.506 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.509 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.510 * [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))))) 70.510 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 70.510 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 70.510 * [taylor]: Taking taylor expansion of 1/2 in k 70.510 * [backup-simplify]: Simplify 1/2 into 1/2 70.510 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 70.510 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.510 * [taylor]: Taking taylor expansion of 1 in k 70.510 * [backup-simplify]: Simplify 1 into 1 70.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.510 * [taylor]: Taking taylor expansion of k in k 70.510 * [backup-simplify]: Simplify 0 into 0 70.510 * [backup-simplify]: Simplify 1 into 1 70.511 * [backup-simplify]: Simplify (/ 1 1) into 1 70.511 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 70.511 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.511 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.511 * [taylor]: Taking taylor expansion of 2 in k 70.511 * [backup-simplify]: Simplify 2 into 2 70.511 * [taylor]: Taking taylor expansion of PI in k 70.511 * [backup-simplify]: Simplify PI into PI 70.511 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.512 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.512 * [taylor]: Taking taylor expansion of (log n) in k 70.512 * [taylor]: Taking taylor expansion of n in k 70.512 * [backup-simplify]: Simplify n into n 70.513 * [backup-simplify]: Simplify (log n) into (log n) 70.513 * [backup-simplify]: Simplify (- 1) into -1 70.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.514 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 70.515 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 70.516 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 70.517 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 70.518 * [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))))) 70.519 * [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))))) 70.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.521 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.523 * [backup-simplify]: Simplify (- 0) into 0 70.524 * [backup-simplify]: Simplify (+ 0 0) into 0 70.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 70.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.527 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 70.528 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.528 * [taylor]: Taking taylor expansion of 0 in k 70.529 * [backup-simplify]: Simplify 0 into 0 70.529 * [backup-simplify]: Simplify 0 into 0 70.529 * [backup-simplify]: Simplify 0 into 0 70.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.534 * [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 70.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.535 * [backup-simplify]: Simplify (- 0) into 0 70.535 * [backup-simplify]: Simplify (+ 0 0) into 0 70.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 70.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.539 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 70.542 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.542 * [taylor]: Taking taylor expansion of 0 in k 70.542 * [backup-simplify]: Simplify 0 into 0 70.542 * [backup-simplify]: Simplify 0 into 0 70.542 * [backup-simplify]: Simplify 0 into 0 70.542 * [backup-simplify]: Simplify 0 into 0 70.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.552 * [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 70.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.553 * [backup-simplify]: Simplify (- 0) into 0 70.553 * [backup-simplify]: Simplify (+ 0 0) into 0 70.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 70.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.558 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 70.560 * [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 70.560 * [taylor]: Taking taylor expansion of 0 in k 70.560 * [backup-simplify]: Simplify 0 into 0 70.561 * [backup-simplify]: Simplify 0 into 0 70.562 * [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)))))) 70.562 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 70.562 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 70.562 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.562 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.562 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.562 * [taylor]: Taking taylor expansion of 1/2 in k 70.563 * [backup-simplify]: Simplify 1/2 into 1/2 70.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.563 * [taylor]: Taking taylor expansion of k in k 70.563 * [backup-simplify]: Simplify 0 into 0 70.563 * [backup-simplify]: Simplify 1 into 1 70.563 * [backup-simplify]: Simplify (/ 1 1) into 1 70.563 * [taylor]: Taking taylor expansion of 1 in k 70.563 * [backup-simplify]: Simplify 1 into 1 70.563 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.563 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.563 * [taylor]: Taking taylor expansion of -2 in k 70.563 * [backup-simplify]: Simplify -2 into -2 70.563 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.563 * [taylor]: Taking taylor expansion of PI in k 70.563 * [backup-simplify]: Simplify PI into PI 70.563 * [taylor]: Taking taylor expansion of n in k 70.563 * [backup-simplify]: Simplify n into n 70.563 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.563 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.564 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.564 * [backup-simplify]: Simplify (+ 1 0) into 1 70.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.565 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.565 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.565 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.565 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.565 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.565 * [taylor]: Taking taylor expansion of 1/2 in n 70.565 * [backup-simplify]: Simplify 1/2 into 1/2 70.565 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.565 * [taylor]: Taking taylor expansion of k in n 70.565 * [backup-simplify]: Simplify k into k 70.565 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.565 * [taylor]: Taking taylor expansion of 1 in n 70.565 * [backup-simplify]: Simplify 1 into 1 70.565 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.565 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.565 * [taylor]: Taking taylor expansion of -2 in n 70.565 * [backup-simplify]: Simplify -2 into -2 70.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.565 * [taylor]: Taking taylor expansion of PI in n 70.565 * [backup-simplify]: Simplify PI into PI 70.565 * [taylor]: Taking taylor expansion of n in n 70.565 * [backup-simplify]: Simplify 0 into 0 70.565 * [backup-simplify]: Simplify 1 into 1 70.566 * [backup-simplify]: Simplify (/ PI 1) into PI 70.566 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.567 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.567 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.567 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.570 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.571 * [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))))) 70.571 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.571 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.571 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.571 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.571 * [taylor]: Taking taylor expansion of 1/2 in n 70.571 * [backup-simplify]: Simplify 1/2 into 1/2 70.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.571 * [taylor]: Taking taylor expansion of k in n 70.571 * [backup-simplify]: Simplify k into k 70.571 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.571 * [taylor]: Taking taylor expansion of 1 in n 70.571 * [backup-simplify]: Simplify 1 into 1 70.571 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.571 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.571 * [taylor]: Taking taylor expansion of -2 in n 70.571 * [backup-simplify]: Simplify -2 into -2 70.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.571 * [taylor]: Taking taylor expansion of PI in n 70.571 * [backup-simplify]: Simplify PI into PI 70.571 * [taylor]: Taking taylor expansion of n in n 70.571 * [backup-simplify]: Simplify 0 into 0 70.572 * [backup-simplify]: Simplify 1 into 1 70.572 * [backup-simplify]: Simplify (/ PI 1) into PI 70.572 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.573 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.573 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.574 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.576 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.577 * [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))))) 70.577 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 70.577 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 70.577 * [taylor]: Taking taylor expansion of 1/2 in k 70.577 * [backup-simplify]: Simplify 1/2 into 1/2 70.577 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 70.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.577 * [taylor]: Taking taylor expansion of k in k 70.577 * [backup-simplify]: Simplify 0 into 0 70.577 * [backup-simplify]: Simplify 1 into 1 70.578 * [backup-simplify]: Simplify (/ 1 1) into 1 70.578 * [taylor]: Taking taylor expansion of 1 in k 70.578 * [backup-simplify]: Simplify 1 into 1 70.578 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 70.578 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 70.578 * [taylor]: Taking taylor expansion of (* -2 PI) in k 70.578 * [taylor]: Taking taylor expansion of -2 in k 70.578 * [backup-simplify]: Simplify -2 into -2 70.578 * [taylor]: Taking taylor expansion of PI in k 70.578 * [backup-simplify]: Simplify PI into PI 70.578 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.579 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.579 * [taylor]: Taking taylor expansion of (log n) in k 70.579 * [taylor]: Taking taylor expansion of n in k 70.579 * [backup-simplify]: Simplify n into n 70.580 * [backup-simplify]: Simplify (log n) into (log n) 70.580 * [backup-simplify]: Simplify (+ 1 0) into 1 70.580 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 70.581 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 70.582 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 70.583 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 70.584 * [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))))) 70.585 * [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))))) 70.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.587 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 70.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.589 * [backup-simplify]: Simplify (+ 0 0) into 0 70.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 70.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.592 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 70.594 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.594 * [taylor]: Taking taylor expansion of 0 in k 70.594 * [backup-simplify]: Simplify 0 into 0 70.594 * [backup-simplify]: Simplify 0 into 0 70.594 * [backup-simplify]: Simplify 0 into 0 70.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.596 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 70.600 * [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 70.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.600 * [backup-simplify]: Simplify (+ 0 0) into 0 70.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 70.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.604 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 70.606 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.607 * [taylor]: Taking taylor expansion of 0 in k 70.607 * [backup-simplify]: Simplify 0 into 0 70.607 * [backup-simplify]: Simplify 0 into 0 70.607 * [backup-simplify]: Simplify 0 into 0 70.607 * [backup-simplify]: Simplify 0 into 0 70.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.609 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.615 * [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 70.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.616 * [backup-simplify]: Simplify (+ 0 0) into 0 70.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 70.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 70.623 * [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 70.623 * [taylor]: Taking taylor expansion of 0 in k 70.623 * [backup-simplify]: Simplify 0 into 0 70.623 * [backup-simplify]: Simplify 0 into 0 70.625 * [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)))))) 70.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 70.626 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 70.626 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 70.626 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.626 * [taylor]: Taking taylor expansion of 2 in n 70.626 * [backup-simplify]: Simplify 2 into 2 70.626 * [taylor]: Taking taylor expansion of (* n PI) in n 70.626 * [taylor]: Taking taylor expansion of n in n 70.626 * [backup-simplify]: Simplify 0 into 0 70.626 * [backup-simplify]: Simplify 1 into 1 70.626 * [taylor]: Taking taylor expansion of PI in n 70.626 * [backup-simplify]: Simplify PI into PI 70.626 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.626 * [taylor]: Taking taylor expansion of 2 in n 70.626 * [backup-simplify]: Simplify 2 into 2 70.626 * [taylor]: Taking taylor expansion of (* n PI) in n 70.626 * [taylor]: Taking taylor expansion of n in n 70.626 * [backup-simplify]: Simplify 0 into 0 70.626 * [backup-simplify]: Simplify 1 into 1 70.626 * [taylor]: Taking taylor expansion of PI in n 70.626 * [backup-simplify]: Simplify PI into PI 70.627 * [backup-simplify]: Simplify (* 0 PI) into 0 70.627 * [backup-simplify]: Simplify (* 2 0) into 0 70.627 * [backup-simplify]: Simplify 0 into 0 70.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.630 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.631 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 70.633 * [backup-simplify]: Simplify 0 into 0 70.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 70.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 70.635 * [backup-simplify]: Simplify 0 into 0 70.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 70.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 70.638 * [backup-simplify]: Simplify 0 into 0 70.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 70.641 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 70.641 * [backup-simplify]: Simplify 0 into 0 70.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 70.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 70.644 * [backup-simplify]: Simplify 0 into 0 70.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 70.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 70.647 * [backup-simplify]: Simplify 0 into 0 70.648 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 70.648 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 70.648 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 70.648 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.648 * [taylor]: Taking taylor expansion of 2 in n 70.648 * [backup-simplify]: Simplify 2 into 2 70.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.648 * [taylor]: Taking taylor expansion of PI in n 70.648 * [backup-simplify]: Simplify PI into PI 70.648 * [taylor]: Taking taylor expansion of n in n 70.648 * [backup-simplify]: Simplify 0 into 0 70.648 * [backup-simplify]: Simplify 1 into 1 70.649 * [backup-simplify]: Simplify (/ PI 1) into PI 70.649 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.649 * [taylor]: Taking taylor expansion of 2 in n 70.649 * [backup-simplify]: Simplify 2 into 2 70.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.649 * [taylor]: Taking taylor expansion of PI in n 70.649 * [backup-simplify]: Simplify PI into PI 70.649 * [taylor]: Taking taylor expansion of n in n 70.649 * [backup-simplify]: Simplify 0 into 0 70.649 * [backup-simplify]: Simplify 1 into 1 70.649 * [backup-simplify]: Simplify (/ PI 1) into PI 70.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.650 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.651 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.651 * [backup-simplify]: Simplify 0 into 0 70.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.652 * [backup-simplify]: Simplify 0 into 0 70.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.654 * [backup-simplify]: Simplify 0 into 0 70.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 70.655 * [backup-simplify]: Simplify 0 into 0 70.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 70.657 * [backup-simplify]: Simplify 0 into 0 70.657 * [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 70.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 70.658 * [backup-simplify]: Simplify 0 into 0 70.658 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 70.659 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 70.659 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 70.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.659 * [taylor]: Taking taylor expansion of -2 in n 70.659 * [backup-simplify]: Simplify -2 into -2 70.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.659 * [taylor]: Taking taylor expansion of PI in n 70.659 * [backup-simplify]: Simplify PI into PI 70.659 * [taylor]: Taking taylor expansion of n in n 70.659 * [backup-simplify]: Simplify 0 into 0 70.659 * [backup-simplify]: Simplify 1 into 1 70.659 * [backup-simplify]: Simplify (/ PI 1) into PI 70.659 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.659 * [taylor]: Taking taylor expansion of -2 in n 70.659 * [backup-simplify]: Simplify -2 into -2 70.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.659 * [taylor]: Taking taylor expansion of PI in n 70.659 * [backup-simplify]: Simplify PI into PI 70.659 * [taylor]: Taking taylor expansion of n in n 70.659 * [backup-simplify]: Simplify 0 into 0 70.659 * [backup-simplify]: Simplify 1 into 1 70.660 * [backup-simplify]: Simplify (/ PI 1) into PI 70.660 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.660 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.661 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.661 * [backup-simplify]: Simplify 0 into 0 70.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.663 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 70.663 * [backup-simplify]: Simplify 0 into 0 70.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.664 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.664 * [backup-simplify]: Simplify 0 into 0 70.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.665 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 70.665 * [backup-simplify]: Simplify 0 into 0 70.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.667 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 70.667 * [backup-simplify]: Simplify 0 into 0 70.667 * [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 70.668 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 70.668 * [backup-simplify]: Simplify 0 into 0 70.668 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 70.668 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 70.669 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 70.669 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 70.669 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 70.669 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 70.669 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 70.669 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 70.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 70.669 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 70.669 * [taylor]: Taking taylor expansion of 1/2 in n 70.669 * [backup-simplify]: Simplify 1/2 into 1/2 70.669 * [taylor]: Taking taylor expansion of (- 1 k) in n 70.669 * [taylor]: Taking taylor expansion of 1 in n 70.669 * [backup-simplify]: Simplify 1 into 1 70.669 * [taylor]: Taking taylor expansion of k in n 70.669 * [backup-simplify]: Simplify k into k 70.669 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.669 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.669 * [taylor]: Taking taylor expansion of 2 in n 70.669 * [backup-simplify]: Simplify 2 into 2 70.669 * [taylor]: Taking taylor expansion of (* n PI) in n 70.669 * [taylor]: Taking taylor expansion of n in n 70.669 * [backup-simplify]: Simplify 0 into 0 70.669 * [backup-simplify]: Simplify 1 into 1 70.669 * [taylor]: Taking taylor expansion of PI in n 70.669 * [backup-simplify]: Simplify PI into PI 70.670 * [backup-simplify]: Simplify (* 0 PI) into 0 70.670 * [backup-simplify]: Simplify (* 2 0) into 0 70.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.672 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.672 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.672 * [backup-simplify]: Simplify (- k) into (- k) 70.672 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 70.672 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 70.673 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.674 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 70.674 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 70.675 * [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))))))) 70.675 * [taylor]: Taking taylor expansion of (sqrt k) in n 70.675 * [taylor]: Taking taylor expansion of k in n 70.675 * [backup-simplify]: Simplify k into k 70.675 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 70.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 70.675 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 70.675 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 70.675 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 70.675 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 70.675 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 70.675 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 70.675 * [taylor]: Taking taylor expansion of 1/2 in k 70.675 * [backup-simplify]: Simplify 1/2 into 1/2 70.675 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.675 * [taylor]: Taking taylor expansion of 1 in k 70.675 * [backup-simplify]: Simplify 1 into 1 70.675 * [taylor]: Taking taylor expansion of k in k 70.675 * [backup-simplify]: Simplify 0 into 0 70.675 * [backup-simplify]: Simplify 1 into 1 70.675 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 70.675 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 70.675 * [taylor]: Taking taylor expansion of 2 in k 70.675 * [backup-simplify]: Simplify 2 into 2 70.675 * [taylor]: Taking taylor expansion of (* n PI) in k 70.675 * [taylor]: Taking taylor expansion of n in k 70.675 * [backup-simplify]: Simplify n into n 70.675 * [taylor]: Taking taylor expansion of PI in k 70.675 * [backup-simplify]: Simplify PI into PI 70.675 * [backup-simplify]: Simplify (* n PI) into (* n PI) 70.675 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 70.676 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 70.676 * [backup-simplify]: Simplify (- 0) into 0 70.676 * [backup-simplify]: Simplify (+ 1 0) into 1 70.678 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.678 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 70.678 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 70.678 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 70.678 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.678 * [taylor]: Taking taylor expansion of k in k 70.678 * [backup-simplify]: Simplify 0 into 0 70.678 * [backup-simplify]: Simplify 1 into 1 70.678 * [backup-simplify]: Simplify (sqrt 0) into 0 70.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.679 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 70.679 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 70.679 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 70.679 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 70.679 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 70.679 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 70.679 * [taylor]: Taking taylor expansion of 1/2 in k 70.679 * [backup-simplify]: Simplify 1/2 into 1/2 70.679 * [taylor]: Taking taylor expansion of (- 1 k) in k 70.679 * [taylor]: Taking taylor expansion of 1 in k 70.679 * [backup-simplify]: Simplify 1 into 1 70.680 * [taylor]: Taking taylor expansion of k in k 70.680 * [backup-simplify]: Simplify 0 into 0 70.680 * [backup-simplify]: Simplify 1 into 1 70.680 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 70.680 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 70.680 * [taylor]: Taking taylor expansion of 2 in k 70.680 * [backup-simplify]: Simplify 2 into 2 70.680 * [taylor]: Taking taylor expansion of (* n PI) in k 70.680 * [taylor]: Taking taylor expansion of n in k 70.680 * [backup-simplify]: Simplify n into n 70.680 * [taylor]: Taking taylor expansion of PI in k 70.680 * [backup-simplify]: Simplify PI into PI 70.680 * [backup-simplify]: Simplify (* n PI) into (* n PI) 70.680 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 70.680 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 70.680 * [backup-simplify]: Simplify (- 0) into 0 70.680 * [backup-simplify]: Simplify (+ 1 0) into 1 70.681 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.681 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 70.681 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 70.681 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 70.681 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.681 * [taylor]: Taking taylor expansion of k in k 70.681 * [backup-simplify]: Simplify 0 into 0 70.681 * [backup-simplify]: Simplify 1 into 1 70.681 * [backup-simplify]: Simplify (sqrt 0) into 0 70.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.682 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 70.682 * [taylor]: Taking taylor expansion of 0 in n 70.682 * [backup-simplify]: Simplify 0 into 0 70.682 * [backup-simplify]: Simplify 0 into 0 70.682 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 70.683 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 70.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 70.683 * [backup-simplify]: Simplify (- 1) into -1 70.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.684 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 70.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 70.685 * [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))))) 70.685 * [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))))) 70.686 * [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)))) 70.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 70.686 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 70.686 * [taylor]: Taking taylor expansion of +nan.0 in n 70.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.686 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 70.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 70.686 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 70.686 * [taylor]: Taking taylor expansion of (* n PI) in n 70.686 * [taylor]: Taking taylor expansion of n in n 70.686 * [backup-simplify]: Simplify 0 into 0 70.686 * [backup-simplify]: Simplify 1 into 1 70.686 * [taylor]: Taking taylor expansion of PI in n 70.686 * [backup-simplify]: Simplify PI into PI 70.687 * [backup-simplify]: Simplify (* 0 PI) into 0 70.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.688 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 70.688 * [backup-simplify]: Simplify (sqrt 0) into 0 70.689 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 70.689 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 70.689 * [taylor]: Taking taylor expansion of 1/2 in n 70.689 * [backup-simplify]: Simplify 1/2 into 1/2 70.690 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 70.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 70.693 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.693 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 70.698 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.702 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.704 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.704 * [backup-simplify]: Simplify 0 into 0 70.707 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.708 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 70.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 70.709 * [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 70.709 * [backup-simplify]: Simplify (- 0) into 0 70.710 * [backup-simplify]: Simplify (+ 0 0) into 0 70.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 70.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 70.712 * [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))) 70.713 * [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)))))) 70.717 * [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)))))) 70.717 * [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 70.717 * [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 70.717 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 70.717 * [taylor]: Taking taylor expansion of +nan.0 in n 70.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.717 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 70.717 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 70.717 * [taylor]: Taking taylor expansion of (sqrt 2) in n 70.717 * [taylor]: Taking taylor expansion of 2 in n 70.717 * [backup-simplify]: Simplify 2 into 2 70.717 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 70.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 70.718 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 70.718 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.718 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.718 * [taylor]: Taking taylor expansion of 2 in n 70.718 * [backup-simplify]: Simplify 2 into 2 70.718 * [taylor]: Taking taylor expansion of (* n PI) in n 70.718 * [taylor]: Taking taylor expansion of n in n 70.718 * [backup-simplify]: Simplify 0 into 0 70.718 * [backup-simplify]: Simplify 1 into 1 70.718 * [taylor]: Taking taylor expansion of PI in n 70.718 * [backup-simplify]: Simplify PI into PI 70.718 * [backup-simplify]: Simplify (* 0 PI) into 0 70.718 * [backup-simplify]: Simplify (* 2 0) into 0 70.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.720 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 70.721 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.721 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 70.721 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 70.721 * [taylor]: Taking taylor expansion of 1/2 in n 70.721 * [backup-simplify]: Simplify 1/2 into 1/2 70.721 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 70.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 70.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 70.722 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 70.722 * [taylor]: Taking taylor expansion of (* n PI) in n 70.722 * [taylor]: Taking taylor expansion of n in n 70.722 * [backup-simplify]: Simplify 0 into 0 70.722 * [backup-simplify]: Simplify 1 into 1 70.722 * [taylor]: Taking taylor expansion of PI in n 70.722 * [backup-simplify]: Simplify PI into PI 70.722 * [backup-simplify]: Simplify (* 0 PI) into 0 70.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.723 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 70.723 * [backup-simplify]: Simplify (sqrt 0) into 0 70.724 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 70.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 70.724 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 70.724 * [taylor]: Taking taylor expansion of +nan.0 in n 70.724 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.725 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 70.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 70.725 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 70.725 * [taylor]: Taking taylor expansion of (* n PI) in n 70.725 * [taylor]: Taking taylor expansion of n in n 70.725 * [backup-simplify]: Simplify 0 into 0 70.725 * [backup-simplify]: Simplify 1 into 1 70.725 * [taylor]: Taking taylor expansion of PI in n 70.725 * [backup-simplify]: Simplify PI into PI 70.725 * [backup-simplify]: Simplify (* 0 PI) into 0 70.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 70.726 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 70.726 * [backup-simplify]: Simplify (sqrt 0) into 0 70.728 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 70.728 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 70.728 * [taylor]: Taking taylor expansion of 1/2 in n 70.728 * [backup-simplify]: Simplify 1/2 into 1/2 70.728 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 70.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 70.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.730 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 70.731 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 70.733 * [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))))) 70.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 70.736 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 70.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 70.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.741 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 70.743 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 70.746 * [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))))) 70.749 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 70.761 * [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))))) 70.764 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.764 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 70.769 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.773 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 70.784 * [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))))))) 70.796 * [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))))))) 70.807 * [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))))))) 70.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 70.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 70.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 70.815 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 70.822 * [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)))) 70.831 * [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)))) 70.836 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.840 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 70.867 * [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))))))))))) 70.868 * [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))) 70.868 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 70.868 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 70.868 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 70.869 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 70.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 70.869 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 70.869 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.869 * [taylor]: Taking taylor expansion of 1/2 in n 70.869 * [backup-simplify]: Simplify 1/2 into 1/2 70.869 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.869 * [taylor]: Taking taylor expansion of 1 in n 70.869 * [backup-simplify]: Simplify 1 into 1 70.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.869 * [taylor]: Taking taylor expansion of k in n 70.869 * [backup-simplify]: Simplify k into k 70.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.869 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.869 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.869 * [taylor]: Taking taylor expansion of 2 in n 70.869 * [backup-simplify]: Simplify 2 into 2 70.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.869 * [taylor]: Taking taylor expansion of PI in n 70.869 * [backup-simplify]: Simplify PI into PI 70.869 * [taylor]: Taking taylor expansion of n in n 70.869 * [backup-simplify]: Simplify 0 into 0 70.869 * [backup-simplify]: Simplify 1 into 1 70.870 * [backup-simplify]: Simplify (/ PI 1) into PI 70.870 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.871 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.871 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.871 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.871 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.874 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.875 * [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))))) 70.877 * [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)))))) 70.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 70.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.877 * [taylor]: Taking taylor expansion of k in n 70.877 * [backup-simplify]: Simplify k into k 70.877 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.877 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 70.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 70.877 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 70.877 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 70.877 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.877 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.877 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.877 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.877 * [taylor]: Taking taylor expansion of 1/2 in k 70.877 * [backup-simplify]: Simplify 1/2 into 1/2 70.877 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.877 * [taylor]: Taking taylor expansion of 1 in k 70.877 * [backup-simplify]: Simplify 1 into 1 70.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.878 * [taylor]: Taking taylor expansion of k in k 70.878 * [backup-simplify]: Simplify 0 into 0 70.878 * [backup-simplify]: Simplify 1 into 1 70.878 * [backup-simplify]: Simplify (/ 1 1) into 1 70.878 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.878 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.878 * [taylor]: Taking taylor expansion of 2 in k 70.878 * [backup-simplify]: Simplify 2 into 2 70.878 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.878 * [taylor]: Taking taylor expansion of PI in k 70.878 * [backup-simplify]: Simplify PI into PI 70.878 * [taylor]: Taking taylor expansion of n in k 70.878 * [backup-simplify]: Simplify n into n 70.878 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.878 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.878 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.879 * [backup-simplify]: Simplify (- 1) into -1 70.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.880 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.880 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.880 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.880 * [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))))))) 70.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.880 * [taylor]: Taking taylor expansion of k in k 70.880 * [backup-simplify]: Simplify 0 into 0 70.880 * [backup-simplify]: Simplify 1 into 1 70.881 * [backup-simplify]: Simplify (/ 1 1) into 1 70.881 * [backup-simplify]: Simplify (sqrt 0) into 0 70.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.883 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 70.883 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 70.883 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 70.883 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 70.883 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 70.883 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.883 * [taylor]: Taking taylor expansion of 1/2 in k 70.883 * [backup-simplify]: Simplify 1/2 into 1/2 70.883 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.883 * [taylor]: Taking taylor expansion of 1 in k 70.883 * [backup-simplify]: Simplify 1 into 1 70.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.883 * [taylor]: Taking taylor expansion of k in k 70.883 * [backup-simplify]: Simplify 0 into 0 70.883 * [backup-simplify]: Simplify 1 into 1 70.884 * [backup-simplify]: Simplify (/ 1 1) into 1 70.884 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 70.884 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 70.884 * [taylor]: Taking taylor expansion of 2 in k 70.884 * [backup-simplify]: Simplify 2 into 2 70.884 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.884 * [taylor]: Taking taylor expansion of PI in k 70.884 * [backup-simplify]: Simplify PI into PI 70.884 * [taylor]: Taking taylor expansion of n in k 70.884 * [backup-simplify]: Simplify n into n 70.884 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.884 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 70.884 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 70.884 * [backup-simplify]: Simplify (- 1) into -1 70.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.885 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.885 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 70.886 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 70.886 * [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))))))) 70.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 70.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.886 * [taylor]: Taking taylor expansion of k in k 70.886 * [backup-simplify]: Simplify 0 into 0 70.886 * [backup-simplify]: Simplify 1 into 1 70.886 * [backup-simplify]: Simplify (/ 1 1) into 1 70.887 * [backup-simplify]: Simplify (sqrt 0) into 0 70.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.888 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 70.888 * [taylor]: Taking taylor expansion of 0 in n 70.888 * [backup-simplify]: Simplify 0 into 0 70.888 * [backup-simplify]: Simplify 0 into 0 70.889 * [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 70.889 * [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))))))))) 70.890 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.890 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.890 * [taylor]: Taking taylor expansion of +nan.0 in n 70.890 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.890 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.890 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.890 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.890 * [taylor]: Taking taylor expansion of 1/2 in n 70.890 * [backup-simplify]: Simplify 1/2 into 1/2 70.890 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.890 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.890 * [taylor]: Taking taylor expansion of 1 in n 70.890 * [backup-simplify]: Simplify 1 into 1 70.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.890 * [taylor]: Taking taylor expansion of k in n 70.890 * [backup-simplify]: Simplify k into k 70.890 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.890 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.890 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.890 * [taylor]: Taking taylor expansion of 2 in n 70.890 * [backup-simplify]: Simplify 2 into 2 70.890 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.890 * [taylor]: Taking taylor expansion of PI in n 70.890 * [backup-simplify]: Simplify PI into PI 70.890 * [taylor]: Taking taylor expansion of n in n 70.890 * [backup-simplify]: Simplify 0 into 0 70.890 * [backup-simplify]: Simplify 1 into 1 70.891 * [backup-simplify]: Simplify (/ PI 1) into PI 70.891 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.892 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.892 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.892 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.895 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.896 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.897 * [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))))) 70.898 * [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)))))) 70.899 * [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)))))) 70.900 * [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)))))))) 70.901 * [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)))))))) 70.902 * [backup-simplify]: Simplify 0 into 0 70.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 70.905 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.906 * [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 70.907 * [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))))))))) 70.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.907 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.907 * [taylor]: Taking taylor expansion of +nan.0 in n 70.907 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.907 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.907 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.907 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.907 * [taylor]: Taking taylor expansion of 1/2 in n 70.907 * [backup-simplify]: Simplify 1/2 into 1/2 70.907 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.907 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.907 * [taylor]: Taking taylor expansion of 1 in n 70.907 * [backup-simplify]: Simplify 1 into 1 70.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.907 * [taylor]: Taking taylor expansion of k in n 70.907 * [backup-simplify]: Simplify k into k 70.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.907 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.907 * [taylor]: Taking taylor expansion of 2 in n 70.907 * [backup-simplify]: Simplify 2 into 2 70.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.908 * [taylor]: Taking taylor expansion of PI in n 70.908 * [backup-simplify]: Simplify PI into PI 70.908 * [taylor]: Taking taylor expansion of n in n 70.908 * [backup-simplify]: Simplify 0 into 0 70.908 * [backup-simplify]: Simplify 1 into 1 70.908 * [backup-simplify]: Simplify (/ PI 1) into PI 70.909 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.909 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.910 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.910 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.912 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.914 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.915 * [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))))) 70.915 * [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)))))) 70.916 * [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)))))) 70.917 * [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)))))))) 70.918 * [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)))))))) 70.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.920 * [backup-simplify]: Simplify (- 0) into 0 70.920 * [backup-simplify]: Simplify (+ 0 0) into 0 70.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.922 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 70.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 70.924 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.925 * [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 70.926 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 70.926 * [backup-simplify]: Simplify (- 0) into 0 70.926 * [backup-simplify]: Simplify 0 into 0 70.926 * [backup-simplify]: Simplify 0 into 0 70.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.930 * [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 70.930 * [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))))))))) 70.930 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 70.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 70.930 * [taylor]: Taking taylor expansion of +nan.0 in n 70.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.931 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 70.931 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 70.931 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 70.931 * [taylor]: Taking taylor expansion of 1/2 in n 70.931 * [backup-simplify]: Simplify 1/2 into 1/2 70.931 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 70.931 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.931 * [taylor]: Taking taylor expansion of 1 in n 70.931 * [backup-simplify]: Simplify 1 into 1 70.931 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.931 * [taylor]: Taking taylor expansion of k in n 70.931 * [backup-simplify]: Simplify k into k 70.931 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.931 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 70.931 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 70.931 * [taylor]: Taking taylor expansion of 2 in n 70.931 * [backup-simplify]: Simplify 2 into 2 70.931 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.931 * [taylor]: Taking taylor expansion of PI in n 70.931 * [backup-simplify]: Simplify PI into PI 70.931 * [taylor]: Taking taylor expansion of n in n 70.931 * [backup-simplify]: Simplify 0 into 0 70.931 * [backup-simplify]: Simplify 1 into 1 70.931 * [backup-simplify]: Simplify (/ PI 1) into PI 70.931 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.932 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.932 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.933 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 70.934 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 70.935 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 70.936 * [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))))) 70.936 * [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)))))) 70.937 * [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)))))) 70.938 * [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)))))))) 70.939 * [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)))))))) 70.941 * [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)))))))) 70.941 * [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)))) 70.941 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 70.941 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 70.941 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.941 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.941 * [taylor]: Taking taylor expansion of -1 in n 70.942 * [backup-simplify]: Simplify -1 into -1 70.942 * [taylor]: Taking taylor expansion of k in n 70.942 * [backup-simplify]: Simplify k into k 70.942 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.942 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.942 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.942 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 70.942 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 70.942 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 70.942 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.942 * [taylor]: Taking taylor expansion of 1/2 in n 70.942 * [backup-simplify]: Simplify 1/2 into 1/2 70.942 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.942 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.942 * [taylor]: Taking taylor expansion of k in n 70.942 * [backup-simplify]: Simplify k into k 70.942 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.942 * [taylor]: Taking taylor expansion of 1 in n 70.942 * [backup-simplify]: Simplify 1 into 1 70.942 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.942 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.942 * [taylor]: Taking taylor expansion of -2 in n 70.942 * [backup-simplify]: Simplify -2 into -2 70.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.942 * [taylor]: Taking taylor expansion of PI in n 70.942 * [backup-simplify]: Simplify PI into PI 70.942 * [taylor]: Taking taylor expansion of n in n 70.942 * [backup-simplify]: Simplify 0 into 0 70.942 * [backup-simplify]: Simplify 1 into 1 70.942 * [backup-simplify]: Simplify (/ PI 1) into PI 70.943 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.943 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.943 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.943 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.944 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.945 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.945 * [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))))) 70.946 * [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)))))) 70.946 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 70.946 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.946 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.946 * [taylor]: Taking taylor expansion of -1 in k 70.946 * [backup-simplify]: Simplify -1 into -1 70.946 * [taylor]: Taking taylor expansion of k in k 70.946 * [backup-simplify]: Simplify 0 into 0 70.946 * [backup-simplify]: Simplify 1 into 1 70.947 * [backup-simplify]: Simplify (/ -1 1) into -1 70.947 * [backup-simplify]: Simplify (sqrt 0) into 0 70.948 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.948 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.948 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.948 * [taylor]: Taking taylor expansion of 1/2 in k 70.948 * [backup-simplify]: Simplify 1/2 into 1/2 70.948 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.948 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.948 * [taylor]: Taking taylor expansion of k in k 70.948 * [backup-simplify]: Simplify 0 into 0 70.948 * [backup-simplify]: Simplify 1 into 1 70.948 * [backup-simplify]: Simplify (/ 1 1) into 1 70.948 * [taylor]: Taking taylor expansion of 1 in k 70.948 * [backup-simplify]: Simplify 1 into 1 70.948 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.948 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.948 * [taylor]: Taking taylor expansion of -2 in k 70.948 * [backup-simplify]: Simplify -2 into -2 70.948 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.948 * [taylor]: Taking taylor expansion of PI in k 70.948 * [backup-simplify]: Simplify PI into PI 70.948 * [taylor]: Taking taylor expansion of n in k 70.948 * [backup-simplify]: Simplify n into n 70.948 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.948 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.948 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.949 * [backup-simplify]: Simplify (+ 1 0) into 1 70.949 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.949 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.949 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.949 * [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))))) 70.949 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 70.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.949 * [taylor]: Taking taylor expansion of -1 in k 70.949 * [backup-simplify]: Simplify -1 into -1 70.949 * [taylor]: Taking taylor expansion of k in k 70.949 * [backup-simplify]: Simplify 0 into 0 70.949 * [backup-simplify]: Simplify 1 into 1 70.950 * [backup-simplify]: Simplify (/ -1 1) into -1 70.950 * [backup-simplify]: Simplify (sqrt 0) into 0 70.951 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.951 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 70.951 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 70.951 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 70.951 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.951 * [taylor]: Taking taylor expansion of 1/2 in k 70.951 * [backup-simplify]: Simplify 1/2 into 1/2 70.951 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.951 * [taylor]: Taking taylor expansion of k in k 70.951 * [backup-simplify]: Simplify 0 into 0 70.951 * [backup-simplify]: Simplify 1 into 1 70.951 * [backup-simplify]: Simplify (/ 1 1) into 1 70.951 * [taylor]: Taking taylor expansion of 1 in k 70.951 * [backup-simplify]: Simplify 1 into 1 70.952 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 70.952 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 70.952 * [taylor]: Taking taylor expansion of -2 in k 70.952 * [backup-simplify]: Simplify -2 into -2 70.952 * [taylor]: Taking taylor expansion of (/ PI n) in k 70.952 * [taylor]: Taking taylor expansion of PI in k 70.952 * [backup-simplify]: Simplify PI into PI 70.952 * [taylor]: Taking taylor expansion of n in k 70.952 * [backup-simplify]: Simplify n into n 70.952 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 70.952 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 70.952 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 70.952 * [backup-simplify]: Simplify (+ 1 0) into 1 70.953 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.953 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 70.953 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 70.953 * [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))))) 70.953 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.954 * [taylor]: Taking taylor expansion of +nan.0 in n 70.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.954 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.954 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.954 * [taylor]: Taking taylor expansion of 1/2 in n 70.954 * [backup-simplify]: Simplify 1/2 into 1/2 70.954 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.954 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.954 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.954 * [taylor]: Taking taylor expansion of -2 in n 70.954 * [backup-simplify]: Simplify -2 into -2 70.954 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.954 * [taylor]: Taking taylor expansion of PI in n 70.954 * [backup-simplify]: Simplify PI into PI 70.954 * [taylor]: Taking taylor expansion of n in n 70.954 * [backup-simplify]: Simplify 0 into 0 70.954 * [backup-simplify]: Simplify 1 into 1 70.954 * [backup-simplify]: Simplify (/ PI 1) into PI 70.955 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.956 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.956 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.956 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.956 * [taylor]: Taking taylor expansion of k in n 70.956 * [backup-simplify]: Simplify k into k 70.956 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.956 * [taylor]: Taking taylor expansion of 1 in n 70.956 * [backup-simplify]: Simplify 1 into 1 70.957 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.957 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.958 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.960 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.961 * [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))))) 70.962 * [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)))))) 70.963 * [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)))))) 70.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.967 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.967 * [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))))))) 70.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 70.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.967 * [taylor]: Taking taylor expansion of +nan.0 in n 70.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.967 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.967 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.967 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.968 * [taylor]: Taking taylor expansion of 1/2 in n 70.968 * [backup-simplify]: Simplify 1/2 into 1/2 70.968 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.968 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.968 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.968 * [taylor]: Taking taylor expansion of -2 in n 70.968 * [backup-simplify]: Simplify -2 into -2 70.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.968 * [taylor]: Taking taylor expansion of PI in n 70.968 * [backup-simplify]: Simplify PI into PI 70.968 * [taylor]: Taking taylor expansion of n in n 70.968 * [backup-simplify]: Simplify 0 into 0 70.968 * [backup-simplify]: Simplify 1 into 1 70.968 * [backup-simplify]: Simplify (/ PI 1) into PI 70.969 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.970 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.970 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.970 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.970 * [taylor]: Taking taylor expansion of k in n 70.970 * [backup-simplify]: Simplify k into k 70.970 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.970 * [taylor]: Taking taylor expansion of 1 in n 70.970 * [backup-simplify]: Simplify 1 into 1 70.971 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.971 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.972 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.972 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.973 * [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))))) 70.974 * [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)))))) 70.974 * [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)))))) 70.975 * [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)))))))) 70.976 * [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)))))))) 70.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.977 * [backup-simplify]: Simplify (+ 0 0) into 0 70.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 70.978 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 70.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 70.979 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 70.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 70.981 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.983 * [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 70.983 * [backup-simplify]: Simplify 0 into 0 70.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.987 * [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))))))) 70.987 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 70.987 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 70.987 * [taylor]: Taking taylor expansion of +nan.0 in n 70.987 * [backup-simplify]: Simplify +nan.0 into +nan.0 70.987 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 70.987 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 70.987 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 70.987 * [taylor]: Taking taylor expansion of 1/2 in n 70.987 * [backup-simplify]: Simplify 1/2 into 1/2 70.987 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 70.987 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 70.987 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 70.987 * [taylor]: Taking taylor expansion of -2 in n 70.987 * [backup-simplify]: Simplify -2 into -2 70.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 70.987 * [taylor]: Taking taylor expansion of PI in n 70.987 * [backup-simplify]: Simplify PI into PI 70.987 * [taylor]: Taking taylor expansion of n in n 70.987 * [backup-simplify]: Simplify 0 into 0 70.987 * [backup-simplify]: Simplify 1 into 1 70.987 * [backup-simplify]: Simplify (/ PI 1) into PI 70.988 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 70.988 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 70.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.988 * [taylor]: Taking taylor expansion of k in n 70.988 * [backup-simplify]: Simplify k into k 70.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.988 * [taylor]: Taking taylor expansion of 1 in n 70.988 * [backup-simplify]: Simplify 1 into 1 70.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 70.989 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.990 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 70.991 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 70.991 * [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))))) 70.992 * [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)))))) 70.993 * [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)))))) 70.994 * [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)))))))) 70.995 * [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)))))))) 70.998 * [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))))))))))))) 70.998 * * * * [progress]: [ 4 / 4 ] generating series at (2) 70.999 * [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))) 70.999 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 70.999 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 70.999 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 70.999 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 70.999 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 70.999 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 70.999 * [taylor]: Taking taylor expansion of 1/2 in n 70.999 * [backup-simplify]: Simplify 1/2 into 1/2 70.999 * [taylor]: Taking taylor expansion of (- 1 k) in n 70.999 * [taylor]: Taking taylor expansion of 1 in n 70.999 * [backup-simplify]: Simplify 1 into 1 70.999 * [taylor]: Taking taylor expansion of k in n 70.999 * [backup-simplify]: Simplify k into k 70.999 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 70.999 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 70.999 * [taylor]: Taking taylor expansion of 2 in n 71.000 * [backup-simplify]: Simplify 2 into 2 71.000 * [taylor]: Taking taylor expansion of (* n PI) in n 71.000 * [taylor]: Taking taylor expansion of n in n 71.000 * [backup-simplify]: Simplify 0 into 0 71.000 * [backup-simplify]: Simplify 1 into 1 71.000 * [taylor]: Taking taylor expansion of PI in n 71.000 * [backup-simplify]: Simplify PI into PI 71.000 * [backup-simplify]: Simplify (* 0 PI) into 0 71.000 * [backup-simplify]: Simplify (* 2 0) into 0 71.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.003 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.004 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.004 * [backup-simplify]: Simplify (- k) into (- k) 71.004 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 71.004 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 71.005 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.006 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 71.007 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 71.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 71.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.007 * [taylor]: Taking taylor expansion of k in n 71.007 * [backup-simplify]: Simplify k into k 71.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.007 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 71.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 71.008 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 71.008 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 71.008 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 71.008 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 71.008 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.008 * [taylor]: Taking taylor expansion of 1/2 in k 71.008 * [backup-simplify]: Simplify 1/2 into 1/2 71.008 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.008 * [taylor]: Taking taylor expansion of 1 in k 71.008 * [backup-simplify]: Simplify 1 into 1 71.008 * [taylor]: Taking taylor expansion of k in k 71.008 * [backup-simplify]: Simplify 0 into 0 71.008 * [backup-simplify]: Simplify 1 into 1 71.008 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 71.008 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 71.008 * [taylor]: Taking taylor expansion of 2 in k 71.008 * [backup-simplify]: Simplify 2 into 2 71.008 * [taylor]: Taking taylor expansion of (* n PI) in k 71.008 * [taylor]: Taking taylor expansion of n in k 71.008 * [backup-simplify]: Simplify n into n 71.008 * [taylor]: Taking taylor expansion of PI in k 71.008 * [backup-simplify]: Simplify PI into PI 71.008 * [backup-simplify]: Simplify (* n PI) into (* n PI) 71.008 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 71.008 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 71.009 * [backup-simplify]: Simplify (- 0) into 0 71.009 * [backup-simplify]: Simplify (+ 1 0) into 1 71.009 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.010 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 71.010 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 71.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 71.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.010 * [taylor]: Taking taylor expansion of k in k 71.010 * [backup-simplify]: Simplify 0 into 0 71.010 * [backup-simplify]: Simplify 1 into 1 71.012 * [backup-simplify]: Simplify (/ 1 1) into 1 71.013 * [backup-simplify]: Simplify (sqrt 0) into 0 71.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.014 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 71.014 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 71.014 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 71.014 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 71.014 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 71.015 * [taylor]: Taking taylor expansion of 1/2 in k 71.015 * [backup-simplify]: Simplify 1/2 into 1/2 71.015 * [taylor]: Taking taylor expansion of (- 1 k) in k 71.015 * [taylor]: Taking taylor expansion of 1 in k 71.015 * [backup-simplify]: Simplify 1 into 1 71.015 * [taylor]: Taking taylor expansion of k in k 71.015 * [backup-simplify]: Simplify 0 into 0 71.015 * [backup-simplify]: Simplify 1 into 1 71.015 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 71.015 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 71.015 * [taylor]: Taking taylor expansion of 2 in k 71.015 * [backup-simplify]: Simplify 2 into 2 71.015 * [taylor]: Taking taylor expansion of (* n PI) in k 71.015 * [taylor]: Taking taylor expansion of n in k 71.015 * [backup-simplify]: Simplify n into n 71.015 * [taylor]: Taking taylor expansion of PI in k 71.015 * [backup-simplify]: Simplify PI into PI 71.015 * [backup-simplify]: Simplify (* n PI) into (* n PI) 71.015 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 71.015 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 71.015 * [backup-simplify]: Simplify (- 0) into 0 71.016 * [backup-simplify]: Simplify (+ 1 0) into 1 71.016 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.016 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 71.016 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 71.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 71.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.016 * [taylor]: Taking taylor expansion of k in k 71.016 * [backup-simplify]: Simplify 0 into 0 71.016 * [backup-simplify]: Simplify 1 into 1 71.017 * [backup-simplify]: Simplify (/ 1 1) into 1 71.017 * [backup-simplify]: Simplify (sqrt 0) into 0 71.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.018 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 71.018 * [taylor]: Taking taylor expansion of 0 in n 71.019 * [backup-simplify]: Simplify 0 into 0 71.019 * [backup-simplify]: Simplify 0 into 0 71.019 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 71.020 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 71.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 71.021 * [backup-simplify]: Simplify (- 1) into -1 71.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.022 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 71.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 71.023 * [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))))) 71.024 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 71.024 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 71.024 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 71.024 * [taylor]: Taking taylor expansion of +nan.0 in n 71.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.024 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 71.024 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.024 * [taylor]: Taking taylor expansion of 2 in n 71.024 * [backup-simplify]: Simplify 2 into 2 71.025 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.026 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.026 * [taylor]: Taking taylor expansion of (* n PI) in n 71.026 * [taylor]: Taking taylor expansion of n in n 71.026 * [backup-simplify]: Simplify 0 into 0 71.026 * [backup-simplify]: Simplify 1 into 1 71.026 * [taylor]: Taking taylor expansion of PI in n 71.026 * [backup-simplify]: Simplify PI into PI 71.027 * [backup-simplify]: Simplify (* 0 PI) into 0 71.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.029 * [backup-simplify]: Simplify (sqrt 0) into 0 71.031 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.031 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 71.032 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.032 * [backup-simplify]: Simplify (- 0) into 0 71.032 * [backup-simplify]: Simplify 0 into 0 71.032 * [backup-simplify]: Simplify 0 into 0 71.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 71.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.037 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 71.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 71.039 * [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 71.040 * [backup-simplify]: Simplify (- 0) into 0 71.040 * [backup-simplify]: Simplify (+ 0 0) into 0 71.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 71.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 71.044 * [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))) 71.044 * [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))))))) 71.044 * [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 71.044 * [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 71.044 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 71.045 * [taylor]: Taking taylor expansion of +nan.0 in n 71.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.045 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 71.045 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 71.045 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.045 * [taylor]: Taking taylor expansion of 2 in n 71.045 * [backup-simplify]: Simplify 2 into 2 71.045 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.046 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 71.046 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 71.046 * [taylor]: Taking taylor expansion of 2 in n 71.046 * [backup-simplify]: Simplify 2 into 2 71.046 * [taylor]: Taking taylor expansion of (* n PI) in n 71.046 * [taylor]: Taking taylor expansion of n in n 71.046 * [backup-simplify]: Simplify 0 into 0 71.046 * [backup-simplify]: Simplify 1 into 1 71.046 * [taylor]: Taking taylor expansion of PI in n 71.046 * [backup-simplify]: Simplify PI into PI 71.046 * [backup-simplify]: Simplify (* 0 PI) into 0 71.047 * [backup-simplify]: Simplify (* 2 0) into 0 71.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.050 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.051 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.051 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.051 * [taylor]: Taking taylor expansion of (* n PI) in n 71.051 * [taylor]: Taking taylor expansion of n in n 71.051 * [backup-simplify]: Simplify 0 into 0 71.051 * [backup-simplify]: Simplify 1 into 1 71.051 * [taylor]: Taking taylor expansion of PI in n 71.051 * [backup-simplify]: Simplify PI into PI 71.052 * [backup-simplify]: Simplify (* 0 PI) into 0 71.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.053 * [backup-simplify]: Simplify (sqrt 0) into 0 71.055 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.055 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 71.055 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 71.055 * [taylor]: Taking taylor expansion of +nan.0 in n 71.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.055 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 71.055 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.055 * [taylor]: Taking taylor expansion of 2 in n 71.055 * [backup-simplify]: Simplify 2 into 2 71.056 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.056 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.056 * [taylor]: Taking taylor expansion of (* n PI) in n 71.056 * [taylor]: Taking taylor expansion of n in n 71.056 * [backup-simplify]: Simplify 0 into 0 71.056 * [backup-simplify]: Simplify 1 into 1 71.056 * [taylor]: Taking taylor expansion of PI in n 71.056 * [backup-simplify]: Simplify PI into PI 71.057 * [backup-simplify]: Simplify (* 0 PI) into 0 71.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.059 * [backup-simplify]: Simplify (sqrt 0) into 0 71.060 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.062 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.063 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 71.064 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 71.065 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.065 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 71.066 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.066 * [backup-simplify]: Simplify (- 0) into 0 71.067 * [backup-simplify]: Simplify (+ 0 0) into 0 71.067 * [backup-simplify]: Simplify (- 0) into 0 71.067 * [backup-simplify]: Simplify 0 into 0 71.070 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 71.076 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 71.079 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 71.082 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 71.082 * [backup-simplify]: Simplify 0 into 0 71.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 71.088 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 71.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 71.092 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 71.092 * [backup-simplify]: Simplify (- 0) into 0 71.093 * [backup-simplify]: Simplify (+ 0 0) into 0 71.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 71.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 71.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 71.099 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 71.099 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 71.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 71.099 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 71.099 * [taylor]: Taking taylor expansion of +nan.0 in n 71.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.099 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 71.099 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 71.099 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.099 * [taylor]: Taking taylor expansion of 2 in n 71.099 * [backup-simplify]: Simplify 2 into 2 71.099 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.100 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 71.100 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 71.100 * [taylor]: Taking taylor expansion of 2 in n 71.100 * [backup-simplify]: Simplify 2 into 2 71.100 * [taylor]: Taking taylor expansion of (* n PI) in n 71.100 * [taylor]: Taking taylor expansion of n in n 71.100 * [backup-simplify]: Simplify 0 into 0 71.100 * [backup-simplify]: Simplify 1 into 1 71.100 * [taylor]: Taking taylor expansion of PI in n 71.100 * [backup-simplify]: Simplify PI into PI 71.101 * [backup-simplify]: Simplify (* 0 PI) into 0 71.101 * [backup-simplify]: Simplify (* 2 0) into 0 71.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.104 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.105 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.105 * [taylor]: Taking taylor expansion of (* n PI) in n 71.105 * [taylor]: Taking taylor expansion of n in n 71.105 * [backup-simplify]: Simplify 0 into 0 71.105 * [backup-simplify]: Simplify 1 into 1 71.105 * [taylor]: Taking taylor expansion of PI in n 71.106 * [backup-simplify]: Simplify PI into PI 71.106 * [backup-simplify]: Simplify (* 0 PI) into 0 71.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.108 * [backup-simplify]: Simplify (sqrt 0) into 0 71.109 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.109 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 71.109 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 71.109 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 71.109 * [taylor]: Taking taylor expansion of +nan.0 in n 71.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.109 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 71.109 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.109 * [taylor]: Taking taylor expansion of 2 in n 71.110 * [backup-simplify]: Simplify 2 into 2 71.110 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.111 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.111 * [taylor]: Taking taylor expansion of (* n PI) in n 71.111 * [taylor]: Taking taylor expansion of n in n 71.111 * [backup-simplify]: Simplify 0 into 0 71.111 * [backup-simplify]: Simplify 1 into 1 71.111 * [taylor]: Taking taylor expansion of PI in n 71.111 * [backup-simplify]: Simplify PI into PI 71.111 * [backup-simplify]: Simplify (* 0 PI) into 0 71.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.112 * [backup-simplify]: Simplify (sqrt 0) into 0 71.113 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.113 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 71.113 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 71.113 * [taylor]: Taking taylor expansion of +nan.0 in n 71.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.113 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 71.113 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 71.113 * [taylor]: Taking taylor expansion of (sqrt 2) in n 71.113 * [taylor]: Taking taylor expansion of 2 in n 71.113 * [backup-simplify]: Simplify 2 into 2 71.113 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 71.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 71.114 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 71.114 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 71.114 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 71.114 * [taylor]: Taking taylor expansion of 2 in n 71.114 * [backup-simplify]: Simplify 2 into 2 71.114 * [taylor]: Taking taylor expansion of (* n PI) in n 71.114 * [taylor]: Taking taylor expansion of n in n 71.114 * [backup-simplify]: Simplify 0 into 0 71.114 * [backup-simplify]: Simplify 1 into 1 71.114 * [taylor]: Taking taylor expansion of PI in n 71.114 * [backup-simplify]: Simplify PI into PI 71.114 * [backup-simplify]: Simplify (* 0 PI) into 0 71.115 * [backup-simplify]: Simplify (* 2 0) into 0 71.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.116 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 71.117 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.118 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.118 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 71.118 * [taylor]: Taking taylor expansion of (* n PI) in n 71.118 * [taylor]: Taking taylor expansion of n in n 71.118 * [backup-simplify]: Simplify 0 into 0 71.118 * [backup-simplify]: Simplify 1 into 1 71.118 * [taylor]: Taking taylor expansion of PI in n 71.118 * [backup-simplify]: Simplify PI into PI 71.118 * [backup-simplify]: Simplify (* 0 PI) into 0 71.119 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 71.119 * [backup-simplify]: Simplify (sqrt 0) into 0 71.120 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 71.121 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.122 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 71.123 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 71.123 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.123 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 71.124 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.124 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.126 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 71.127 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 71.128 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 71.128 * [backup-simplify]: Simplify (* +nan.0 0) into 0 71.129 * [backup-simplify]: Simplify (- 0) into 0 71.129 * [backup-simplify]: Simplify (+ 0 0) into 0 71.129 * [backup-simplify]: Simplify (- 0) into 0 71.129 * [backup-simplify]: Simplify (+ 0 0) into 0 71.129 * [backup-simplify]: Simplify (- 0) into 0 71.130 * [backup-simplify]: Simplify 0 into 0 71.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 71.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 71.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 71.133 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 71.135 * [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)))))))) 71.140 * [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)))))))) 71.142 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 71.145 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 71.147 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 71.152 * [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)))))))))) 71.156 * [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))))))) 71.160 * [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))))))) 71.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 71.163 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 71.164 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 71.167 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 71.172 * [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)))) 71.174 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 71.176 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 71.184 * [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))))))))))))) 71.185 * [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)) 71.185 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 71.185 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 71.185 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 71.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 71.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 71.185 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 71.185 * [taylor]: Taking taylor expansion of 1/2 in n 71.185 * [backup-simplify]: Simplify 1/2 into 1/2 71.185 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 71.185 * [taylor]: Taking taylor expansion of 1 in n 71.185 * [backup-simplify]: Simplify 1 into 1 71.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.185 * [taylor]: Taking taylor expansion of k in n 71.185 * [backup-simplify]: Simplify k into k 71.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.185 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.185 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.185 * [taylor]: Taking taylor expansion of 2 in n 71.185 * [backup-simplify]: Simplify 2 into 2 71.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.185 * [taylor]: Taking taylor expansion of PI in n 71.185 * [backup-simplify]: Simplify PI into PI 71.185 * [taylor]: Taking taylor expansion of n in n 71.185 * [backup-simplify]: Simplify 0 into 0 71.185 * [backup-simplify]: Simplify 1 into 1 71.186 * [backup-simplify]: Simplify (/ PI 1) into PI 71.186 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.187 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.187 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.187 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.187 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 71.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.188 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 71.189 * [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))))) 71.189 * [taylor]: Taking taylor expansion of (sqrt k) in n 71.189 * [taylor]: Taking taylor expansion of k in n 71.189 * [backup-simplify]: Simplify k into k 71.189 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 71.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 71.189 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 71.189 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 71.189 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 71.189 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 71.189 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 71.189 * [taylor]: Taking taylor expansion of 1/2 in k 71.189 * [backup-simplify]: Simplify 1/2 into 1/2 71.189 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.189 * [taylor]: Taking taylor expansion of 1 in k 71.189 * [backup-simplify]: Simplify 1 into 1 71.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.189 * [taylor]: Taking taylor expansion of k in k 71.189 * [backup-simplify]: Simplify 0 into 0 71.190 * [backup-simplify]: Simplify 1 into 1 71.190 * [backup-simplify]: Simplify (/ 1 1) into 1 71.190 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 71.190 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 71.190 * [taylor]: Taking taylor expansion of 2 in k 71.190 * [backup-simplify]: Simplify 2 into 2 71.190 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.190 * [taylor]: Taking taylor expansion of PI in k 71.190 * [backup-simplify]: Simplify PI into PI 71.190 * [taylor]: Taking taylor expansion of n in k 71.190 * [backup-simplify]: Simplify n into n 71.190 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.190 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 71.190 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 71.190 * [backup-simplify]: Simplify (- 1) into -1 71.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.191 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 71.191 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 71.191 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 71.191 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.191 * [taylor]: Taking taylor expansion of k in k 71.191 * [backup-simplify]: Simplify 0 into 0 71.191 * [backup-simplify]: Simplify 1 into 1 71.191 * [backup-simplify]: Simplify (sqrt 0) into 0 71.192 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.192 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 71.192 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 71.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 71.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 71.192 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 71.192 * [taylor]: Taking taylor expansion of 1/2 in k 71.193 * [backup-simplify]: Simplify 1/2 into 1/2 71.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 71.193 * [taylor]: Taking taylor expansion of 1 in k 71.193 * [backup-simplify]: Simplify 1 into 1 71.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.193 * [taylor]: Taking taylor expansion of k in k 71.193 * [backup-simplify]: Simplify 0 into 0 71.193 * [backup-simplify]: Simplify 1 into 1 71.193 * [backup-simplify]: Simplify (/ 1 1) into 1 71.193 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 71.193 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 71.193 * [taylor]: Taking taylor expansion of 2 in k 71.193 * [backup-simplify]: Simplify 2 into 2 71.193 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.193 * [taylor]: Taking taylor expansion of PI in k 71.193 * [backup-simplify]: Simplify PI into PI 71.193 * [taylor]: Taking taylor expansion of n in k 71.193 * [backup-simplify]: Simplify n into n 71.193 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.193 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 71.193 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 71.193 * [backup-simplify]: Simplify (- 1) into -1 71.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 71.194 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 71.194 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 71.194 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 71.194 * [taylor]: Taking taylor expansion of (sqrt k) in k 71.194 * [taylor]: Taking taylor expansion of k in k 71.194 * [backup-simplify]: Simplify 0 into 0 71.194 * [backup-simplify]: Simplify 1 into 1 71.195 * [backup-simplify]: Simplify (sqrt 0) into 0 71.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 71.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 71.196 * [taylor]: Taking taylor expansion of 0 in n 71.196 * [backup-simplify]: Simplify 0 into 0 71.196 * [backup-simplify]: Simplify 0 into 0 71.197 * [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)))))))) 71.197 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 71.197 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 71.197 * [taylor]: Taking taylor expansion of +nan.0 in n 71.197 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.197 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 71.197 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 71.197 * [taylor]: Taking taylor expansion of 1/2 in n 71.197 * [backup-simplify]: Simplify 1/2 into 1/2 71.197 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 71.197 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 71.197 * [taylor]: Taking taylor expansion of 1 in n 71.197 * [backup-simplify]: Simplify 1 into 1 71.197 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.197 * [taylor]: Taking taylor expansion of k in n 71.197 * [backup-simplify]: Simplify k into k 71.197 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.197 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.197 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.197 * [taylor]: Taking taylor expansion of 2 in n 71.197 * [backup-simplify]: Simplify 2 into 2 71.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.197 * [taylor]: Taking taylor expansion of PI in n 71.197 * [backup-simplify]: Simplify PI into PI 71.197 * [taylor]: Taking taylor expansion of n in n 71.197 * [backup-simplify]: Simplify 0 into 0 71.197 * [backup-simplify]: Simplify 1 into 1 71.198 * [backup-simplify]: Simplify (/ PI 1) into PI 71.198 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.199 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.199 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.199 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.200 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 71.201 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 71.201 * [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))))) 71.202 * [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)))))) 71.203 * [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))))))) 71.204 * [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))))))) 71.204 * [backup-simplify]: Simplify 0 into 0 71.205 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.206 * [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)))))))) 71.206 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 71.206 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 71.206 * [taylor]: Taking taylor expansion of +nan.0 in n 71.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.206 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 71.206 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 71.206 * [taylor]: Taking taylor expansion of 1/2 in n 71.206 * [backup-simplify]: Simplify 1/2 into 1/2 71.206 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 71.206 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 71.206 * [taylor]: Taking taylor expansion of 1 in n 71.206 * [backup-simplify]: Simplify 1 into 1 71.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.206 * [taylor]: Taking taylor expansion of k in n 71.206 * [backup-simplify]: Simplify k into k 71.206 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.206 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.206 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.206 * [taylor]: Taking taylor expansion of 2 in n 71.206 * [backup-simplify]: Simplify 2 into 2 71.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.206 * [taylor]: Taking taylor expansion of PI in n 71.206 * [backup-simplify]: Simplify PI into PI 71.206 * [taylor]: Taking taylor expansion of n in n 71.206 * [backup-simplify]: Simplify 0 into 0 71.206 * [backup-simplify]: Simplify 1 into 1 71.207 * [backup-simplify]: Simplify (/ PI 1) into PI 71.207 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.208 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.208 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.208 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.209 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 71.210 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 71.210 * [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))))) 71.211 * [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)))))) 71.212 * [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))))))) 71.214 * [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))))))) 71.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 71.215 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 71.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 71.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.217 * [backup-simplify]: Simplify (- 0) into 0 71.217 * [backup-simplify]: Simplify (+ 0 0) into 0 71.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.218 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 71.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 71.220 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 71.221 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 71.223 * [backup-simplify]: Simplify (- 0) into 0 71.224 * [backup-simplify]: Simplify 0 into 0 71.224 * [backup-simplify]: Simplify 0 into 0 71.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 71.227 * [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)))))))) 71.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 71.227 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 71.227 * [taylor]: Taking taylor expansion of +nan.0 in n 71.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.227 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 71.227 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 71.227 * [taylor]: Taking taylor expansion of 1/2 in n 71.227 * [backup-simplify]: Simplify 1/2 into 1/2 71.227 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 71.227 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 71.227 * [taylor]: Taking taylor expansion of 1 in n 71.227 * [backup-simplify]: Simplify 1 into 1 71.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.227 * [taylor]: Taking taylor expansion of k in n 71.227 * [backup-simplify]: Simplify k into k 71.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.227 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 71.227 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 71.227 * [taylor]: Taking taylor expansion of 2 in n 71.227 * [backup-simplify]: Simplify 2 into 2 71.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.227 * [taylor]: Taking taylor expansion of PI in n 71.227 * [backup-simplify]: Simplify PI into PI 71.227 * [taylor]: Taking taylor expansion of n in n 71.227 * [backup-simplify]: Simplify 0 into 0 71.227 * [backup-simplify]: Simplify 1 into 1 71.227 * [backup-simplify]: Simplify (/ PI 1) into PI 71.228 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 71.228 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 71.228 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 71.228 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 71.229 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 71.230 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 71.231 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 71.231 * [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))))) 71.232 * [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)))))) 71.233 * [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))))))) 71.233 * [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))))))) 71.236 * [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)))))))) 71.236 * [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))) 71.236 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 71.236 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 71.236 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 71.236 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 71.236 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 71.236 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 71.236 * [taylor]: Taking taylor expansion of 1/2 in n 71.236 * [backup-simplify]: Simplify 1/2 into 1/2 71.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.237 * [taylor]: Taking taylor expansion of k in n 71.237 * [backup-simplify]: Simplify k into k 71.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.237 * [taylor]: Taking taylor expansion of 1 in n 71.237 * [backup-simplify]: Simplify 1 into 1 71.237 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.237 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.237 * [taylor]: Taking taylor expansion of -2 in n 71.237 * [backup-simplify]: Simplify -2 into -2 71.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.237 * [taylor]: Taking taylor expansion of PI in n 71.237 * [backup-simplify]: Simplify PI into PI 71.237 * [taylor]: Taking taylor expansion of n in n 71.237 * [backup-simplify]: Simplify 0 into 0 71.237 * [backup-simplify]: Simplify 1 into 1 71.237 * [backup-simplify]: Simplify (/ PI 1) into PI 71.237 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.238 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.238 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.238 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 71.239 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.240 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 71.241 * [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))))) 71.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 71.241 * [taylor]: Taking taylor expansion of (/ -1 k) in n 71.241 * [taylor]: Taking taylor expansion of -1 in n 71.241 * [backup-simplify]: Simplify -1 into -1 71.241 * [taylor]: Taking taylor expansion of k in n 71.241 * [backup-simplify]: Simplify k into k 71.241 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 71.241 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 71.241 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 71.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 71.243 * [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))) 71.243 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 71.243 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 71.243 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 71.243 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 71.243 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 71.243 * [taylor]: Taking taylor expansion of 1/2 in k 71.243 * [backup-simplify]: Simplify 1/2 into 1/2 71.243 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.243 * [taylor]: Taking taylor expansion of k in k 71.243 * [backup-simplify]: Simplify 0 into 0 71.243 * [backup-simplify]: Simplify 1 into 1 71.243 * [backup-simplify]: Simplify (/ 1 1) into 1 71.243 * [taylor]: Taking taylor expansion of 1 in k 71.244 * [backup-simplify]: Simplify 1 into 1 71.244 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 71.244 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 71.244 * [taylor]: Taking taylor expansion of -2 in k 71.244 * [backup-simplify]: Simplify -2 into -2 71.244 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.244 * [taylor]: Taking taylor expansion of PI in k 71.244 * [backup-simplify]: Simplify PI into PI 71.244 * [taylor]: Taking taylor expansion of n in k 71.244 * [backup-simplify]: Simplify n into n 71.244 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.244 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 71.244 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 71.244 * [backup-simplify]: Simplify (+ 1 0) into 1 71.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.245 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 71.245 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 71.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 71.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 71.245 * [taylor]: Taking taylor expansion of -1 in k 71.245 * [backup-simplify]: Simplify -1 into -1 71.245 * [taylor]: Taking taylor expansion of k in k 71.245 * [backup-simplify]: Simplify 0 into 0 71.245 * [backup-simplify]: Simplify 1 into 1 71.246 * [backup-simplify]: Simplify (/ -1 1) into -1 71.246 * [backup-simplify]: Simplify (sqrt 0) into 0 71.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 71.248 * [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))))) 71.248 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 71.248 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 71.248 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 71.248 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 71.248 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 71.248 * [taylor]: Taking taylor expansion of 1/2 in k 71.248 * [backup-simplify]: Simplify 1/2 into 1/2 71.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 71.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 71.248 * [taylor]: Taking taylor expansion of k in k 71.248 * [backup-simplify]: Simplify 0 into 0 71.248 * [backup-simplify]: Simplify 1 into 1 71.249 * [backup-simplify]: Simplify (/ 1 1) into 1 71.249 * [taylor]: Taking taylor expansion of 1 in k 71.249 * [backup-simplify]: Simplify 1 into 1 71.249 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 71.249 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 71.249 * [taylor]: Taking taylor expansion of -2 in k 71.249 * [backup-simplify]: Simplify -2 into -2 71.249 * [taylor]: Taking taylor expansion of (/ PI n) in k 71.249 * [taylor]: Taking taylor expansion of PI in k 71.249 * [backup-simplify]: Simplify PI into PI 71.249 * [taylor]: Taking taylor expansion of n in k 71.249 * [backup-simplify]: Simplify n into n 71.249 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 71.249 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 71.249 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 71.250 * [backup-simplify]: Simplify (+ 1 0) into 1 71.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 71.250 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 71.250 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 71.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 71.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 71.250 * [taylor]: Taking taylor expansion of -1 in k 71.250 * [backup-simplify]: Simplify -1 into -1 71.250 * [taylor]: Taking taylor expansion of k in k 71.251 * [backup-simplify]: Simplify 0 into 0 71.251 * [backup-simplify]: Simplify 1 into 1 71.251 * [backup-simplify]: Simplify (/ -1 1) into -1 71.251 * [backup-simplify]: Simplify (sqrt 0) into 0 71.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 71.253 * [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))))) 71.253 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 71.253 * [taylor]: Taking taylor expansion of +nan.0 in n 71.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.253 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 71.253 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 71.253 * [taylor]: Taking taylor expansion of 1/2 in n 71.253 * [backup-simplify]: Simplify 1/2 into 1/2 71.253 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 71.253 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.253 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.253 * [taylor]: Taking taylor expansion of -2 in n 71.253 * [backup-simplify]: Simplify -2 into -2 71.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.253 * [taylor]: Taking taylor expansion of PI in n 71.253 * [backup-simplify]: Simplify PI into PI 71.253 * [taylor]: Taking taylor expansion of n in n 71.253 * [backup-simplify]: Simplify 0 into 0 71.253 * [backup-simplify]: Simplify 1 into 1 71.254 * [backup-simplify]: Simplify (/ PI 1) into PI 71.254 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.255 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.255 * [taylor]: Taking taylor expansion of k in n 71.255 * [backup-simplify]: Simplify k into k 71.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.255 * [taylor]: Taking taylor expansion of 1 in n 71.256 * [backup-simplify]: Simplify 1 into 1 71.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.257 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.258 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 71.259 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 71.260 * [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))))) 71.262 * [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)))))) 71.263 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 71.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 71.265 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 71.266 * [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)))))) 71.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 71.266 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 71.266 * [taylor]: Taking taylor expansion of +nan.0 in n 71.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.266 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 71.266 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 71.266 * [taylor]: Taking taylor expansion of 1/2 in n 71.266 * [backup-simplify]: Simplify 1/2 into 1/2 71.266 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 71.266 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.266 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.266 * [taylor]: Taking taylor expansion of -2 in n 71.266 * [backup-simplify]: Simplify -2 into -2 71.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.266 * [taylor]: Taking taylor expansion of PI in n 71.266 * [backup-simplify]: Simplify PI into PI 71.266 * [taylor]: Taking taylor expansion of n in n 71.266 * [backup-simplify]: Simplify 0 into 0 71.266 * [backup-simplify]: Simplify 1 into 1 71.266 * [backup-simplify]: Simplify (/ PI 1) into PI 71.266 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.267 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.267 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.267 * [taylor]: Taking taylor expansion of k in n 71.267 * [backup-simplify]: Simplify k into k 71.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.267 * [taylor]: Taking taylor expansion of 1 in n 71.267 * [backup-simplify]: Simplify 1 into 1 71.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.268 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.269 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 71.269 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 71.270 * [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))))) 71.271 * [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)))))) 71.271 * [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))))))) 71.272 * [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))))))) 71.273 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 71.273 * [backup-simplify]: Simplify (+ 0 0) into 0 71.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 71.274 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 71.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 71.276 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 71.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 71.278 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 71.279 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 71.279 * [backup-simplify]: Simplify 0 into 0 71.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 71.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 71.283 * [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)))))) 71.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 71.283 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 71.283 * [taylor]: Taking taylor expansion of +nan.0 in n 71.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 71.283 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 71.283 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 71.283 * [taylor]: Taking taylor expansion of 1/2 in n 71.283 * [backup-simplify]: Simplify 1/2 into 1/2 71.283 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 71.283 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 71.283 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 71.283 * [taylor]: Taking taylor expansion of -2 in n 71.283 * [backup-simplify]: Simplify -2 into -2 71.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 71.283 * [taylor]: Taking taylor expansion of PI in n 71.283 * [backup-simplify]: Simplify PI into PI 71.283 * [taylor]: Taking taylor expansion of n in n 71.283 * [backup-simplify]: Simplify 0 into 0 71.283 * [backup-simplify]: Simplify 1 into 1 71.284 * [backup-simplify]: Simplify (/ PI 1) into PI 71.284 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 71.285 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 71.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 71.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 71.285 * [taylor]: Taking taylor expansion of k in n 71.285 * [backup-simplify]: Simplify k into k 71.285 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 71.285 * [taylor]: Taking taylor expansion of 1 in n 71.285 * [backup-simplify]: Simplify 1 into 1 71.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 71.286 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 71.286 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 71.287 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 71.287 * [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))))) 71.288 * [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)))))) 71.289 * [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))))))) 71.290 * [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))))))) 71.292 * [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)))))))))))) 71.292 * * * [progress]: simplifying candidates 71.292 * * * * [progress]: [ 1 / 307 ] simplifiying candidate # 71.292 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 71.293 * * [simplify]: iters left: 6 (13 enodes) 71.297 * * [simplify]: iters left: 5 (54 enodes) 71.306 * * [simplify]: iters left: 4 (97 enodes) 71.341 * * [simplify]: iters left: 3 (244 enodes) 71.423 * * [simplify]: Extracting #0: cost 1 inf + 0 71.423 * * [simplify]: Extracting #1: cost 32 inf + 0 71.423 * * [simplify]: Extracting #2: cost 126 inf + 2 71.424 * * [simplify]: Extracting #3: cost 173 inf + 75 71.425 * * [simplify]: Extracting #4: cost 127 inf + 6635 71.430 * * [simplify]: Extracting #5: cost 15 inf + 36816 71.437 * * [simplify]: Extracting #6: cost 0 inf + 41489 71.445 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 71.445 * [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))))) 71.445 * * * * [progress]: [ 2 / 307 ] simplifiying candidate # 71.445 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 71.445 * * [simplify]: iters left: 6 (12 enodes) 71.449 * * [simplify]: iters left: 5 (52 enodes) 71.458 * * [simplify]: iters left: 4 (90 enodes) 71.486 * * [simplify]: iters left: 3 (203 enodes) 71.563 * * [simplify]: Extracting #0: cost 1 inf + 0 71.563 * * [simplify]: Extracting #1: cost 29 inf + 0 71.563 * * [simplify]: Extracting #2: cost 112 inf + 2 71.564 * * [simplify]: Extracting #3: cost 149 inf + 341 71.566 * * [simplify]: Extracting #4: cost 110 inf + 5554 71.574 * * [simplify]: Extracting #5: cost 30 inf + 23496 71.586 * * [simplify]: Extracting #6: cost 1 inf + 31878 71.597 * * [simplify]: Extracting #7: cost 0 inf + 32142 71.609 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 71.609 * [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))))) 71.609 * * * * [progress]: [ 3 / 307 ] simplifiying candidate # 71.610 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 71.610 * * [simplify]: iters left: 6 (11 enodes) 71.617 * * [simplify]: iters left: 5 (51 enodes) 71.634 * * [simplify]: iters left: 4 (97 enodes) 71.653 * * [simplify]: iters left: 3 (199 enodes) 71.723 * * [simplify]: Extracting #0: cost 1 inf + 0 71.723 * * [simplify]: Extracting #1: cost 32 inf + 0 71.724 * * [simplify]: Extracting #2: cost 113 inf + 2 71.725 * * [simplify]: Extracting #3: cost 154 inf + 200 71.726 * * [simplify]: Extracting #4: cost 123 inf + 3386 71.732 * * [simplify]: Extracting #5: cost 47 inf + 17339 71.740 * * [simplify]: Extracting #6: cost 3 inf + 27690 71.746 * * [simplify]: Extracting #7: cost 0 inf + 28612 71.751 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 71.751 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 71.751 * * * * [progress]: [ 4 / 307 ] simplifiying candidate # 71.751 * * * * [progress]: [ 5 / 307 ] simplifiying candidate # 71.752 * [simplify]: Simplifying (* n (* 2 PI)) 71.752 * * [simplify]: iters left: 4 (5 enodes) 71.753 * * [simplify]: iters left: 3 (19 enodes) 71.757 * * [simplify]: iters left: 2 (27 enodes) 71.761 * * [simplify]: iters left: 1 (32 enodes) 71.765 * * [simplify]: Extracting #0: cost 1 inf + 0 71.765 * * [simplify]: Extracting #1: cost 8 inf + 0 71.765 * * [simplify]: Extracting #2: cost 7 inf + 45 71.766 * * [simplify]: Extracting #3: cost 0 inf + 421 71.766 * [simplify]: Simplified to (* (* PI 2) n) 71.766 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.766 * * * * [progress]: [ 6 / 307 ] simplifiying candidate # 71.766 * [simplify]: Simplifying (* n (* 2 PI)) 71.766 * * [simplify]: iters left: 4 (5 enodes) 71.769 * * [simplify]: iters left: 3 (19 enodes) 71.774 * * [simplify]: iters left: 2 (27 enodes) 71.782 * * [simplify]: iters left: 1 (32 enodes) 71.789 * * [simplify]: Extracting #0: cost 1 inf + 0 71.789 * * [simplify]: Extracting #1: cost 8 inf + 0 71.789 * * [simplify]: Extracting #2: cost 7 inf + 45 71.790 * * [simplify]: Extracting #3: cost 0 inf + 421 71.790 * [simplify]: Simplified to (* (* PI 2) n) 71.790 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.790 * * * * [progress]: [ 7 / 307 ] simplifiying candidate # 71.790 * [simplify]: Simplifying (* n (* 2 PI)) 71.791 * * [simplify]: iters left: 4 (5 enodes) 71.794 * * [simplify]: iters left: 3 (19 enodes) 71.800 * * [simplify]: iters left: 2 (27 enodes) 71.808 * * [simplify]: iters left: 1 (32 enodes) 71.816 * * [simplify]: Extracting #0: cost 1 inf + 0 71.817 * * [simplify]: Extracting #1: cost 8 inf + 0 71.817 * * [simplify]: Extracting #2: cost 7 inf + 45 71.817 * * [simplify]: Extracting #3: cost 0 inf + 421 71.817 * [simplify]: Simplified to (* (* PI 2) n) 71.817 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2)))))) 71.817 * * * * [progress]: [ 8 / 307 ] simplifiying candidate # 71.818 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 71.818 * * [simplify]: iters left: 5 (8 enodes) 71.822 * * [simplify]: iters left: 4 (31 enodes) 71.832 * * [simplify]: iters left: 3 (51 enodes) 71.851 * * [simplify]: iters left: 2 (85 enodes) 71.870 * * [simplify]: iters left: 1 (152 enodes) 71.908 * * [simplify]: Extracting #0: cost 1 inf + 0 71.908 * * [simplify]: Extracting #1: cost 13 inf + 0 71.908 * * [simplify]: Extracting #2: cost 59 inf + 1 71.908 * * [simplify]: Extracting #3: cost 76 inf + 9 71.909 * * [simplify]: Extracting #4: cost 41 inf + 3303 71.911 * * [simplify]: Extracting #5: cost 16 inf + 10676 71.913 * * [simplify]: Extracting #6: cost 0 inf + 21028 71.916 * * [simplify]: Extracting #7: cost 0 inf + 20456 71.919 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 71.919 * [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)))))) 71.919 * * * * [progress]: [ 9 / 307 ] simplifiying candidate # 71.919 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 71.919 * * [simplify]: iters left: 5 (6 enodes) 71.922 * * [simplify]: iters left: 4 (26 enodes) 71.927 * * [simplify]: iters left: 3 (35 enodes) 71.933 * * [simplify]: iters left: 2 (37 enodes) 71.941 * * [simplify]: iters left: 1 (41 enodes) 71.948 * * [simplify]: Extracting #0: cost 1 inf + 0 71.948 * * [simplify]: Extracting #1: cost 3 inf + 0 71.948 * * [simplify]: Extracting #2: cost 9 inf + 0 71.948 * * [simplify]: Extracting #3: cost 13 inf + 2 71.949 * * [simplify]: Extracting #4: cost 10 inf + 87 71.949 * * [simplify]: Extracting #5: cost 3 inf + 582 71.949 * * [simplify]: Extracting #6: cost 0 inf + 910 71.949 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 71.949 * [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)))))) 71.949 * * * * [progress]: [ 10 / 307 ] simplifiying candidate # 71.950 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 71.950 * * [simplify]: iters left: 5 (6 enodes) 71.953 * * [simplify]: iters left: 4 (26 enodes) 71.958 * * [simplify]: iters left: 3 (35 enodes) 71.965 * * [simplify]: iters left: 2 (37 enodes) 71.975 * * [simplify]: iters left: 1 (41 enodes) 71.987 * * [simplify]: Extracting #0: cost 1 inf + 0 71.987 * * [simplify]: Extracting #1: cost 3 inf + 0 71.987 * * [simplify]: Extracting #2: cost 9 inf + 0 71.988 * * [simplify]: Extracting #3: cost 13 inf + 2 71.988 * * [simplify]: Extracting #4: cost 10 inf + 87 71.988 * * [simplify]: Extracting #5: cost 3 inf + 542 71.988 * * [simplify]: Extracting #6: cost 0 inf + 830 71.988 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 71.988 * [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)))))) 71.988 * * * * [progress]: [ 11 / 307 ] simplifiying candidate # 71.988 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 71.989 * * [simplify]: iters left: 5 (7 enodes) 71.991 * * [simplify]: iters left: 4 (25 enodes) 71.995 * * [simplify]: iters left: 3 (30 enodes) 72.001 * * [simplify]: Extracting #0: cost 1 inf + 0 72.001 * * [simplify]: Extracting #1: cost 4 inf + 0 72.001 * * [simplify]: Extracting #2: cost 8 inf + 0 72.001 * * [simplify]: Extracting #3: cost 10 inf + 82 72.001 * * [simplify]: Extracting #4: cost 7 inf + 206 72.001 * * [simplify]: Extracting #5: cost 2 inf + 575 72.001 * * [simplify]: Extracting #6: cost 1 inf + 818 72.001 * * [simplify]: Extracting #7: cost 0 inf + 1061 72.001 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 72.002 * [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)))))) 72.002 * * * * [progress]: [ 12 / 307 ] simplifiying candidate # 72.002 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 72.002 * * [simplify]: iters left: 5 (7 enodes) 72.004 * * [simplify]: iters left: 4 (25 enodes) 72.009 * * [simplify]: iters left: 3 (30 enodes) 72.014 * * [simplify]: Extracting #0: cost 1 inf + 0 72.014 * * [simplify]: Extracting #1: cost 4 inf + 0 72.014 * * [simplify]: Extracting #2: cost 8 inf + 0 72.014 * * [simplify]: Extracting #3: cost 10 inf + 42 72.014 * * [simplify]: Extracting #4: cost 7 inf + 126 72.014 * * [simplify]: Extracting #5: cost 2 inf + 495 72.014 * * [simplify]: Extracting #6: cost 1 inf + 698 72.015 * * [simplify]: Extracting #7: cost 0 inf + 901 72.015 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 72.015 * [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)))))) 72.015 * * * * [progress]: [ 13 / 307 ] simplifiying candidate # 72.015 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 72.015 * * [simplify]: iters left: 5 (6 enodes) 72.017 * * [simplify]: iters left: 4 (22 enodes) 72.023 * * [simplify]: iters left: 3 (27 enodes) 72.031 * * [simplify]: Extracting #0: cost 1 inf + 0 72.031 * * [simplify]: Extracting #1: cost 4 inf + 0 72.031 * * [simplify]: Extracting #2: cost 5 inf + 1 72.031 * * [simplify]: Extracting #3: cost 9 inf + 1 72.031 * * [simplify]: Extracting #4: cost 8 inf + 3 72.032 * * [simplify]: Extracting #5: cost 4 inf + 169 72.032 * * [simplify]: Extracting #6: cost 1 inf + 576 72.032 * * [simplify]: Extracting #7: cost 0 inf + 739 72.032 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 72.032 * [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))))) 72.033 * * * * [progress]: [ 14 / 307 ] simplifiying candidate # 72.033 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 72.033 * * [simplify]: iters left: 5 (7 enodes) 72.037 * * [simplify]: iters left: 4 (25 enodes) 72.045 * * [simplify]: iters left: 3 (30 enodes) 72.057 * * [simplify]: Extracting #0: cost 1 inf + 0 72.057 * * [simplify]: Extracting #1: cost 4 inf + 0 72.058 * * [simplify]: Extracting #2: cost 8 inf + 0 72.058 * * [simplify]: Extracting #3: cost 10 inf + 82 72.058 * * [simplify]: Extracting #4: cost 7 inf + 206 72.058 * * [simplify]: Extracting #5: cost 2 inf + 495 72.058 * * [simplify]: Extracting #6: cost 1 inf + 698 72.059 * * [simplify]: Extracting #7: cost 0 inf + 901 72.059 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 72.059 * [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)))))) 72.059 * * * * [progress]: [ 15 / 307 ] simplifiying candidate # 72.059 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 72.060 * * [simplify]: iters left: 5 (7 enodes) 72.064 * * [simplify]: iters left: 4 (25 enodes) 72.072 * * [simplify]: iters left: 3 (30 enodes) 72.081 * * [simplify]: Extracting #0: cost 1 inf + 0 72.082 * * [simplify]: Extracting #1: cost 4 inf + 0 72.082 * * [simplify]: Extracting #2: cost 8 inf + 0 72.082 * * [simplify]: Extracting #3: cost 10 inf + 42 72.082 * * [simplify]: Extracting #4: cost 7 inf + 126 72.082 * * [simplify]: Extracting #5: cost 2 inf + 415 72.083 * * [simplify]: Extracting #6: cost 1 inf + 578 72.083 * * [simplify]: Extracting #7: cost 0 inf + 741 72.083 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 72.083 * [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)))))) 72.083 * * * * [progress]: [ 16 / 307 ] simplifiying candidate # 72.084 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 72.084 * * [simplify]: iters left: 5 (6 enodes) 72.088 * * [simplify]: iters left: 4 (22 enodes) 72.096 * * [simplify]: iters left: 3 (27 enodes) 72.106 * * [simplify]: Extracting #0: cost 1 inf + 0 72.106 * * [simplify]: Extracting #1: cost 4 inf + 0 72.106 * * [simplify]: Extracting #2: cost 5 inf + 1 72.106 * * [simplify]: Extracting #3: cost 9 inf + 1 72.106 * * [simplify]: Extracting #4: cost 8 inf + 3 72.107 * * [simplify]: Extracting #5: cost 4 inf + 169 72.107 * * [simplify]: Extracting #6: cost 1 inf + 456 72.107 * * [simplify]: Extracting #7: cost 0 inf + 579 72.108 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 72.108 * [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))))) 72.108 * * * * [progress]: [ 17 / 307 ] simplifiying candidate # 72.108 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 72.108 * * [simplify]: iters left: 4 (6 enodes) 72.112 * * [simplify]: iters left: 3 (25 enodes) 72.122 * * [simplify]: iters left: 2 (36 enodes) 72.133 * * [simplify]: iters left: 1 (40 enodes) 72.144 * * [simplify]: Extracting #0: cost 1 inf + 0 72.144 * * [simplify]: Extracting #1: cost 7 inf + 0 72.144 * * [simplify]: Extracting #2: cost 16 inf + 0 72.144 * * [simplify]: Extracting #3: cost 13 inf + 44 72.145 * * [simplify]: Extracting #4: cost 3 inf + 1103 72.145 * * [simplify]: Extracting #5: cost 0 inf + 1469 72.145 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 72.145 * [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)))))) 72.145 * * * * [progress]: [ 18 / 307 ] simplifiying candidate # 72.145 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 72.145 * * [simplify]: iters left: 4 (6 enodes) 72.148 * * [simplify]: iters left: 3 (25 enodes) 72.153 * * [simplify]: iters left: 2 (36 enodes) 72.158 * * [simplify]: iters left: 1 (40 enodes) 72.165 * * [simplify]: Extracting #0: cost 1 inf + 0 72.165 * * [simplify]: Extracting #1: cost 7 inf + 0 72.165 * * [simplify]: Extracting #2: cost 16 inf + 0 72.165 * * [simplify]: Extracting #3: cost 13 inf + 44 72.165 * * [simplify]: Extracting #4: cost 3 inf + 823 72.165 * * [simplify]: Extracting #5: cost 0 inf + 1069 72.166 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 72.166 * [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)))))) 72.166 * * * * [progress]: [ 19 / 307 ] simplifiying candidate # 72.166 * [simplify]: Simplifying (/ (- 1 k) 2) 72.166 * * [simplify]: iters left: 4 (5 enodes) 72.169 * * [simplify]: iters left: 3 (23 enodes) 72.177 * * [simplify]: iters left: 2 (32 enodes) 72.186 * * [simplify]: iters left: 1 (34 enodes) 72.199 * * [simplify]: Extracting #0: cost 1 inf + 0 72.199 * * [simplify]: Extracting #1: cost 7 inf + 0 72.199 * * [simplify]: Extracting #2: cost 11 inf + 2 72.199 * * [simplify]: Extracting #3: cost 10 inf + 4 72.199 * * [simplify]: Extracting #4: cost 4 inf + 337 72.200 * * [simplify]: Extracting #5: cost 0 inf + 584 72.200 * [simplify]: Simplified to (/ (- 1 k) 2) 72.200 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 72.201 * * * * [progress]: [ 20 / 307 ] simplifiying candidate # 72.201 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 72.201 * * [simplify]: iters left: 5 (8 enodes) 72.206 * * [simplify]: iters left: 4 (31 enodes) 72.216 * * [simplify]: iters left: 3 (45 enodes) 72.227 * * [simplify]: iters left: 2 (52 enodes) 72.235 * * [simplify]: iters left: 1 (53 enodes) 72.244 * * [simplify]: Extracting #0: cost 1 inf + 0 72.244 * * [simplify]: Extracting #1: cost 8 inf + 0 72.244 * * [simplify]: Extracting #2: cost 18 inf + 0 72.244 * * [simplify]: Extracting #3: cost 19 inf + 2 72.244 * * [simplify]: Extracting #4: cost 9 inf + 977 72.244 * * [simplify]: Extracting #5: cost 2 inf + 1790 72.245 * * [simplify]: Extracting #6: cost 0 inf + 2195 72.245 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 72.245 * [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)))))) 72.245 * * * * [progress]: [ 21 / 307 ] simplifiying candidate # 72.245 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 72.245 * * [simplify]: iters left: 5 (8 enodes) 72.248 * * [simplify]: iters left: 4 (31 enodes) 72.254 * * [simplify]: iters left: 3 (45 enodes) 72.262 * * [simplify]: iters left: 2 (52 enodes) 72.277 * * [simplify]: iters left: 1 (53 enodes) 72.292 * * [simplify]: Extracting #0: cost 1 inf + 0 72.292 * * [simplify]: Extracting #1: cost 8 inf + 0 72.292 * * [simplify]: Extracting #2: cost 18 inf + 0 72.292 * * [simplify]: Extracting #3: cost 19 inf + 2 72.293 * * [simplify]: Extracting #4: cost 9 inf + 697 72.293 * * [simplify]: Extracting #5: cost 2 inf + 1390 72.294 * * [simplify]: Extracting #6: cost 0 inf + 1715 72.295 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 72.295 * [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)))))) 72.295 * * * * [progress]: [ 22 / 307 ] simplifiying candidate # 72.295 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 72.295 * * [simplify]: iters left: 5 (7 enodes) 72.302 * * [simplify]: iters left: 4 (29 enodes) 72.312 * * [simplify]: iters left: 3 (43 enodes) 72.324 * * [simplify]: iters left: 2 (48 enodes) 72.336 * * [simplify]: Extracting #0: cost 1 inf + 0 72.336 * * [simplify]: Extracting #1: cost 7 inf + 0 72.336 * * [simplify]: Extracting #2: cost 11 inf + 2 72.336 * * [simplify]: Extracting #3: cost 13 inf + 3 72.336 * * [simplify]: Extracting #4: cost 11 inf + 45 72.337 * * [simplify]: Extracting #5: cost 0 inf + 1066 72.337 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 72.337 * [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))))) 72.337 * * * * [progress]: [ 23 / 307 ] simplifiying candidate # 72.337 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 72.337 * * [simplify]: iters left: 5 (7 enodes) 72.340 * * [simplify]: iters left: 4 (28 enodes) 72.345 * * [simplify]: iters left: 3 (39 enodes) 72.351 * * [simplify]: iters left: 2 (43 enodes) 72.358 * * [simplify]: Extracting #0: cost 1 inf + 0 72.358 * * [simplify]: Extracting #1: cost 7 inf + 0 72.358 * * [simplify]: Extracting #2: cost 16 inf + 0 72.358 * * [simplify]: Extracting #3: cost 15 inf + 164 72.358 * * [simplify]: Extracting #4: cost 13 inf + 287 72.359 * * [simplify]: Extracting #5: cost 5 inf + 1180 72.359 * * [simplify]: Extracting #6: cost 0 inf + 1951 72.359 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 72.359 * [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)))))) 72.359 * * * * [progress]: [ 24 / 307 ] simplifiying candidate # 72.359 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 72.359 * * [simplify]: iters left: 5 (7 enodes) 72.362 * * [simplify]: iters left: 4 (28 enodes) 72.371 * * [simplify]: iters left: 3 (39 enodes) 72.383 * * [simplify]: iters left: 2 (43 enodes) 72.396 * * [simplify]: Extracting #0: cost 1 inf + 0 72.396 * * [simplify]: Extracting #1: cost 7 inf + 0 72.396 * * [simplify]: Extracting #2: cost 16 inf + 0 72.396 * * [simplify]: Extracting #3: cost 15 inf + 84 72.396 * * [simplify]: Extracting #4: cost 13 inf + 167 72.396 * * [simplify]: Extracting #5: cost 5 inf + 900 72.397 * * [simplify]: Extracting #6: cost 0 inf + 1551 72.398 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 72.398 * [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)))))) 72.398 * * * * [progress]: [ 25 / 307 ] simplifiying candidate # 72.398 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 72.398 * * [simplify]: iters left: 5 (6 enodes) 72.403 * * [simplify]: iters left: 4 (26 enodes) 72.412 * * [simplify]: iters left: 3 (35 enodes) 72.423 * * [simplify]: iters left: 2 (37 enodes) 72.429 * * [simplify]: iters left: 1 (41 enodes) 72.435 * * [simplify]: Extracting #0: cost 1 inf + 0 72.436 * * [simplify]: Extracting #1: cost 7 inf + 0 72.436 * * [simplify]: Extracting #2: cost 11 inf + 2 72.436 * * [simplify]: Extracting #3: cost 13 inf + 3 72.436 * * [simplify]: Extracting #4: cost 12 inf + 4 72.436 * * [simplify]: Extracting #5: cost 6 inf + 412 72.436 * * [simplify]: Extracting #6: cost 2 inf + 821 72.436 * * [simplify]: Extracting #7: cost 0 inf + 1066 72.436 * [simplify]: Simplified to (- 1/2 (/ (sqrt k) 2)) 72.436 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (- 1/2 (/ (sqrt k) 2)))))) 72.437 * * * * [progress]: [ 26 / 307 ] simplifiying candidate # 72.437 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 72.437 * * [simplify]: iters left: 4 (6 enodes) 72.439 * * [simplify]: iters left: 3 (25 enodes) 72.444 * * [simplify]: iters left: 2 (36 enodes) 72.451 * * [simplify]: iters left: 1 (40 enodes) 72.458 * * [simplify]: Extracting #0: cost 1 inf + 0 72.458 * * [simplify]: Extracting #1: cost 7 inf + 0 72.458 * * [simplify]: Extracting #2: cost 16 inf + 0 72.458 * * [simplify]: Extracting #3: cost 13 inf + 44 72.458 * * [simplify]: Extracting #4: cost 3 inf + 1103 72.459 * * [simplify]: Extracting #5: cost 0 inf + 1469 72.459 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 72.459 * [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)))))) 72.460 * * * * [progress]: [ 27 / 307 ] simplifiying candidate # 72.460 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 72.460 * * [simplify]: iters left: 4 (6 enodes) 72.464 * * [simplify]: iters left: 3 (25 enodes) 72.473 * * [simplify]: iters left: 2 (36 enodes) 72.485 * * [simplify]: iters left: 1 (40 enodes) 72.497 * * [simplify]: Extracting #0: cost 1 inf + 0 72.497 * * [simplify]: Extracting #1: cost 7 inf + 0 72.497 * * [simplify]: Extracting #2: cost 16 inf + 0 72.497 * * [simplify]: Extracting #3: cost 13 inf + 44 72.498 * * [simplify]: Extracting #4: cost 3 inf + 823 72.498 * * [simplify]: Extracting #5: cost 0 inf + 1069 72.499 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 72.499 * [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)))))) 72.499 * * * * [progress]: [ 28 / 307 ] simplifiying candidate # 72.499 * [simplify]: Simplifying (/ (- 1 k) 2) 72.499 * * [simplify]: iters left: 4 (5 enodes) 72.503 * * [simplify]: iters left: 3 (23 enodes) 72.511 * * [simplify]: iters left: 2 (32 enodes) 72.522 * * [simplify]: iters left: 1 (34 enodes) 72.534 * * [simplify]: Extracting #0: cost 1 inf + 0 72.534 * * [simplify]: Extracting #1: cost 7 inf + 0 72.534 * * [simplify]: Extracting #2: cost 11 inf + 2 72.534 * * [simplify]: Extracting #3: cost 10 inf + 4 72.534 * * [simplify]: Extracting #4: cost 4 inf + 337 72.535 * * [simplify]: Extracting #5: cost 0 inf + 584 72.535 * [simplify]: Simplified to (/ (- 1 k) 2) 72.535 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2))))) 72.535 * * * * [progress]: [ 29 / 307 ] simplifiying candidate # 72.536 * [simplify]: Simplifying (/ (- 1 k) 2) 72.536 * * [simplify]: iters left: 4 (5 enodes) 72.540 * * [simplify]: iters left: 3 (23 enodes) 72.548 * * [simplify]: iters left: 2 (32 enodes) 72.553 * * [simplify]: iters left: 1 (34 enodes) 72.558 * * [simplify]: Extracting #0: cost 1 inf + 0 72.559 * * [simplify]: Extracting #1: cost 7 inf + 0 72.559 * * [simplify]: Extracting #2: cost 11 inf + 2 72.559 * * [simplify]: Extracting #3: cost 10 inf + 4 72.559 * * [simplify]: Extracting #4: cost 4 inf + 337 72.559 * * [simplify]: Extracting #5: cost 0 inf + 584 72.559 * [simplify]: Simplified to (/ (- 1 k) 2) 72.559 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2))))) 72.559 * * * * [progress]: [ 30 / 307 ] simplifiying candidate # 72.559 * [simplify]: Simplifying (/ 1 2) 72.559 * * [simplify]: iters left: 2 (3 enodes) 72.561 * * [simplify]: iters left: 1 (12 enodes) 72.564 * * [simplify]: Extracting #0: cost 1 inf + 0 72.564 * * [simplify]: Extracting #1: cost 0 inf + 1 72.564 * [simplify]: Simplified to 1/2 72.564 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2)))) 72.564 * * * * [progress]: [ 31 / 307 ] simplifiying candidate # 72.564 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 72.564 * * [simplify]: iters left: 5 (7 enodes) 72.567 * * [simplify]: iters left: 4 (32 enodes) 72.573 * * [simplify]: iters left: 3 (57 enodes) 72.590 * * [simplify]: iters left: 2 (90 enodes) 72.622 * * [simplify]: iters left: 1 (170 enodes) 72.691 * * [simplify]: Extracting #0: cost 1 inf + 0 72.691 * * [simplify]: Extracting #1: cost 13 inf + 0 72.691 * * [simplify]: Extracting #2: cost 54 inf + 2 72.692 * * [simplify]: Extracting #3: cost 89 inf + 6 72.693 * * [simplify]: Extracting #4: cost 78 inf + 1344 72.696 * * [simplify]: Extracting #5: cost 20 inf + 14664 72.703 * * [simplify]: Extracting #6: cost 1 inf + 22045 72.710 * * [simplify]: Extracting #7: cost 0 inf + 21300 72.718 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 72.718 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 72.718 * * * * [progress]: [ 32 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 33 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 34 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 35 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 36 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 37 / 307 ] simplifiying candidate # 72.718 * * * * [progress]: [ 38 / 307 ] simplifiying candidate # 72.719 * * * * [progress]: [ 39 / 307 ] simplifiying candidate # 72.719 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 72.719 * * * * [progress]: [ 41 / 307 ] simplifiying candidate # 72.719 * [simplify]: Simplifying (* n (* 2 PI)) 72.719 * * [simplify]: iters left: 4 (5 enodes) 72.722 * * [simplify]: iters left: 3 (19 enodes) 72.729 * * [simplify]: iters left: 2 (27 enodes) 72.742 * * [simplify]: iters left: 1 (32 enodes) 72.751 * * [simplify]: Extracting #0: cost 1 inf + 0 72.751 * * [simplify]: Extracting #1: cost 8 inf + 0 72.752 * * [simplify]: Extracting #2: cost 7 inf + 45 72.752 * * [simplify]: Extracting #3: cost 0 inf + 421 72.752 * [simplify]: Simplified to (* (* PI 2) n) 72.752 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.752 * * * * [progress]: [ 42 / 307 ] simplifiying candidate # 72.753 * [simplify]: Simplifying (* n (* 2 PI)) 72.753 * * [simplify]: iters left: 4 (5 enodes) 72.756 * * [simplify]: iters left: 3 (19 enodes) 72.762 * * [simplify]: iters left: 2 (27 enodes) 72.770 * * [simplify]: iters left: 1 (32 enodes) 72.778 * * [simplify]: Extracting #0: cost 1 inf + 0 72.778 * * [simplify]: Extracting #1: cost 8 inf + 0 72.778 * * [simplify]: Extracting #2: cost 7 inf + 45 72.778 * * [simplify]: Extracting #3: cost 0 inf + 421 72.779 * [simplify]: Simplified to (* (* PI 2) n) 72.779 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 72.779 * * * * [progress]: [ 43 / 307 ] simplifiying candidate # 72.779 * * * * [progress]: [ 44 / 307 ] simplifiying candidate # 72.779 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 72.779 * * [simplify]: iters left: 5 (8 enodes) 72.784 * * [simplify]: iters left: 4 (28 enodes) 72.792 * * [simplify]: iters left: 3 (36 enodes) 72.803 * * [simplify]: iters left: 2 (42 enodes) 72.814 * * [simplify]: Extracting #0: cost 1 inf + 0 72.814 * * [simplify]: Extracting #1: cost 8 inf + 0 72.814 * * [simplify]: Extracting #2: cost 17 inf + 0 72.814 * * [simplify]: Extracting #3: cost 12 inf + 145 72.815 * * [simplify]: Extracting #4: cost 5 inf + 1197 72.815 * * [simplify]: Extracting #5: cost 1 inf + 1925 72.816 * * [simplify]: Extracting #6: cost 0 inf + 2107 72.816 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 72.816 * [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))))) 72.816 * * * * [progress]: [ 45 / 307 ] simplifiying candidate # 72.817 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 72.817 * * [simplify]: iters left: 5 (7 enodes) 72.821 * * [simplify]: iters left: 4 (26 enodes) 72.829 * * [simplify]: iters left: 3 (35 enodes) 72.840 * * [simplify]: iters left: 2 (44 enodes) 72.852 * * [simplify]: Extracting #0: cost 1 inf + 0 72.852 * * [simplify]: Extracting #1: cost 8 inf + 0 72.852 * * [simplify]: Extracting #2: cost 18 inf + 0 72.852 * * [simplify]: Extracting #3: cost 15 inf + 74 72.853 * * [simplify]: Extracting #4: cost 8 inf + 554 72.853 * * [simplify]: Extracting #5: cost 0 inf + 1911 72.854 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 72.854 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 72.854 * * * * [progress]: [ 46 / 307 ] simplifiying candidate # 72.854 * * * * [progress]: [ 47 / 307 ] simplifiying candidate # 72.854 * * * * [progress]: [ 48 / 307 ] simplifiying candidate # 72.854 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 72.855 * * [simplify]: iters left: 6 (11 enodes) 72.862 * * [simplify]: iters left: 5 (48 enodes) 72.881 * * [simplify]: iters left: 4 (121 enodes) 72.939 * * [simplify]: iters left: 3 (348 enodes) 73.158 * * [simplify]: Extracting #0: cost 1 inf + 0 73.158 * * [simplify]: Extracting #1: cost 67 inf + 0 73.159 * * [simplify]: Extracting #2: cost 165 inf + 786 73.162 * * [simplify]: Extracting #3: cost 81 inf + 10746 73.168 * * [simplify]: Extracting #4: cost 9 inf + 26018 73.177 * * [simplify]: Extracting #5: cost 0 inf + 28546 73.190 * * [simplify]: Extracting #6: cost 0 inf + 28506 73.203 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 73.203 * [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))))) 73.203 * * * * [progress]: [ 49 / 307 ] simplifiying candidate # 73.203 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 73.203 * * [simplify]: iters left: 6 (9 enodes) 73.210 * * [simplify]: iters left: 5 (45 enodes) 73.230 * * [simplify]: iters left: 4 (117 enodes) 73.270 * * [simplify]: iters left: 3 (377 enodes) 73.575 * * [simplify]: Extracting #0: cost 1 inf + 0 73.575 * * [simplify]: Extracting #1: cost 79 inf + 0 73.576 * * [simplify]: Extracting #2: cost 191 inf + 659 73.580 * * [simplify]: Extracting #3: cost 100 inf + 13238 73.592 * * [simplify]: Extracting #4: cost 6 inf + 31685 73.607 * * [simplify]: Extracting #5: cost 0 inf + 32539 73.619 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 73.619 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n))))) (/ (- 1 k) 2))))) 73.619 * * * * [progress]: [ 50 / 307 ] simplifiying candidate # 73.619 * * * * [progress]: [ 51 / 307 ] simplifiying candidate # 73.619 * * * * [progress]: [ 52 / 307 ] simplifiying candidate # 73.619 * * * * [progress]: [ 53 / 307 ] simplifiying candidate # 73.619 * * * * [progress]: [ 54 / 307 ] simplifiying candidate # 73.619 * * * * [progress]: [ 55 / 307 ] simplifiying candidate # 73.619 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 73.619 * * [simplify]: iters left: 3 (3 enodes) 73.620 * * [simplify]: iters left: 2 (9 enodes) 73.621 * * [simplify]: Extracting #0: cost 1 inf + 0 73.621 * * [simplify]: Extracting #1: cost 3 inf + 0 73.621 * * [simplify]: Extracting #2: cost 5 inf + 0 73.621 * * [simplify]: Extracting #3: cost 4 inf + 1 73.622 * * [simplify]: Extracting #4: cost 0 inf + 405 73.622 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 73.622 * [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))))) 73.622 * * * * [progress]: [ 56 / 307 ] simplifiying candidate # 73.622 * [simplify]: Simplifying (sqrt n) 73.622 * * [simplify]: iters left: 1 (2 enodes) 73.622 * * [simplify]: Extracting #0: cost 1 inf + 0 73.622 * * [simplify]: Extracting #1: cost 3 inf + 0 73.622 * * [simplify]: Extracting #2: cost 2 inf + 1 73.622 * * [simplify]: Extracting #3: cost 0 inf + 83 73.622 * [simplify]: Simplified to (sqrt n) 73.623 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 73.623 * * * * [progress]: [ 57 / 307 ] simplifiying candidate # 73.623 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 73.623 * * * * [progress]: [ 59 / 307 ] simplifiying candidate # 73.623 * * * * [progress]: [ 60 / 307 ] simplifiying candidate # 73.623 * * * * [progress]: [ 61 / 307 ] simplifiying candidate # 73.623 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 73.623 * * [simplify]: iters left: 6 (16 enodes) 73.628 * * [simplify]: iters left: 5 (65 enodes) 73.647 * * [simplify]: iters left: 4 (119 enodes) 73.674 * * [simplify]: iters left: 3 (357 enodes) 73.871 * * [simplify]: Extracting #0: cost 1 inf + 0 73.871 * * [simplify]: Extracting #1: cost 29 inf + 0 73.872 * * [simplify]: Extracting #2: cost 142 inf + 0 73.873 * * [simplify]: Extracting #3: cost 253 inf + 73 73.876 * * [simplify]: Extracting #4: cost 266 inf + 3248 73.885 * * [simplify]: Extracting #5: cost 100 inf + 41325 73.897 * * [simplify]: Extracting #6: cost 2 inf + 75498 73.912 * * [simplify]: Extracting #7: cost 0 inf + 76106 73.939 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))) 73.939 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))))) 73.939 * * * * [progress]: [ 62 / 307 ] simplifiying candidate # 73.940 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 73.940 * * [simplify]: iters left: 6 (15 enodes) 73.946 * * [simplify]: iters left: 5 (63 enodes) 73.960 * * [simplify]: iters left: 4 (112 enodes) 73.994 * * [simplify]: iters left: 3 (289 enodes) 74.126 * * [simplify]: Extracting #0: cost 1 inf + 0 74.127 * * [simplify]: Extracting #1: cost 25 inf + 0 74.127 * * [simplify]: Extracting #2: cost 118 inf + 0 74.128 * * [simplify]: Extracting #3: cost 225 inf + 2 74.131 * * [simplify]: Extracting #4: cost 214 inf + 7894 74.142 * * [simplify]: Extracting #5: cost 52 inf + 43973 74.153 * * [simplify]: Extracting #6: cost 0 inf + 59799 74.167 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 74.167 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))) 74.167 * * * * [progress]: [ 63 / 307 ] simplifiying candidate # 74.167 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 74.168 * * [simplify]: iters left: 6 (14 enodes) 74.175 * * [simplify]: iters left: 5 (62 enodes) 74.196 * * [simplify]: iters left: 4 (119 enodes) 74.239 * * [simplify]: iters left: 3 (271 enodes) 74.351 * * [simplify]: Extracting #0: cost 1 inf + 0 74.351 * * [simplify]: Extracting #1: cost 15 inf + 0 74.351 * * [simplify]: Extracting #2: cost 95 inf + 0 74.353 * * [simplify]: Extracting #3: cost 205 inf + 2 74.355 * * [simplify]: Extracting #4: cost 210 inf + 4380 74.367 * * [simplify]: Extracting #5: cost 53 inf + 34230 74.382 * * [simplify]: Extracting #6: cost 0 inf + 47316 74.392 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 74.392 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 74.392 * * * * [progress]: [ 64 / 307 ] simplifiying candidate # 74.392 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 74.392 * * [simplify]: iters left: 6 (14 enodes) 74.400 * * [simplify]: iters left: 5 (62 enodes) 74.415 * * [simplify]: iters left: 4 (119 enodes) 74.457 * * [simplify]: iters left: 3 (271 enodes) 74.571 * * [simplify]: Extracting #0: cost 1 inf + 0 74.571 * * [simplify]: Extracting #1: cost 15 inf + 0 74.571 * * [simplify]: Extracting #2: cost 95 inf + 0 74.573 * * [simplify]: Extracting #3: cost 205 inf + 2 74.575 * * [simplify]: Extracting #4: cost 210 inf + 4380 74.586 * * [simplify]: Extracting #5: cost 53 inf + 34230 74.600 * * [simplify]: Extracting #6: cost 0 inf + 47316 74.609 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 74.609 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 74.610 * * * * [progress]: [ 65 / 307 ] simplifiying candidate # 74.610 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 74.610 * * [simplify]: iters left: 6 (14 enodes) 74.614 * * [simplify]: iters left: 5 (61 enodes) 74.628 * * [simplify]: iters left: 4 (111 enodes) 74.665 * * [simplify]: iters left: 3 (251 enodes) 74.774 * * [simplify]: Extracting #0: cost 1 inf + 0 74.774 * * [simplify]: Extracting #1: cost 19 inf + 0 74.775 * * [simplify]: Extracting #2: cost 126 inf + 0 74.775 * * [simplify]: Extracting #3: cost 229 inf + 2 74.776 * * [simplify]: Extracting #4: cost 238 inf + 4783 74.782 * * [simplify]: Extracting #5: cost 81 inf + 38907 74.800 * * [simplify]: Extracting #6: cost 1 inf + 58101 74.820 * * [simplify]: Extracting #7: cost 0 inf + 58445 74.839 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2)) 74.839 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (* (log (* n (* 2 PI))) (- 1 k)) 2))))) 74.840 * * * * [progress]: [ 66 / 307 ] simplifiying candidate # 74.840 * * * * [progress]: [ 67 / 307 ] simplifiying candidate # 74.840 * * * * [progress]: [ 68 / 307 ] simplifiying candidate # 74.840 * [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)))) 74.840 * * [simplify]: iters left: 6 (16 enodes) 74.850 * * [simplify]: iters left: 5 (72 enodes) 74.879 * * [simplify]: iters left: 4 (163 enodes) 74.938 * * [simplify]: iters left: 3 (441 enodes) 75.207 * * [simplify]: Extracting #0: cost 1 inf + 0 75.207 * * [simplify]: Extracting #1: cost 115 inf + 0 75.209 * * [simplify]: Extracting #2: cost 332 inf + 123 75.212 * * [simplify]: Extracting #3: cost 400 inf + 248 75.216 * * [simplify]: Extracting #4: cost 368 inf + 8053 75.234 * * [simplify]: Extracting #5: cost 228 inf + 81856 75.267 * * [simplify]: Extracting #6: cost 17 inf + 235483 75.328 * * [simplify]: Extracting #7: cost 0 inf + 249103 75.388 * [simplify]: Simplified to (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 75.389 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ (/ k (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))) 75.389 * * * * [progress]: [ 69 / 307 ] simplifiying candidate # 75.389 * * * * [progress]: [ 70 / 307 ] simplifiying candidate # 75.389 * * * * [progress]: [ 71 / 307 ] simplifiying candidate # 75.389 * * * * [progress]: [ 72 / 307 ] simplifiying candidate # 75.389 * * * * [progress]: [ 73 / 307 ] simplifiying candidate # 75.389 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.390 * * [simplify]: iters left: 6 (11 enodes) 75.396 * * [simplify]: iters left: 5 (46 enodes) 75.413 * * [simplify]: iters left: 4 (76 enodes) 75.440 * * [simplify]: iters left: 3 (138 enodes) 75.497 * * [simplify]: iters left: 2 (303 enodes) 75.615 * * [simplify]: Extracting #0: cost 1 inf + 0 75.616 * * [simplify]: Extracting #1: cost 42 inf + 0 75.616 * * [simplify]: Extracting #2: cost 137 inf + 0 75.618 * * [simplify]: Extracting #3: cost 197 inf + 3 75.620 * * [simplify]: Extracting #4: cost 179 inf + 3189 75.624 * * [simplify]: Extracting #5: cost 132 inf + 15219 75.640 * * [simplify]: Extracting #6: cost 31 inf + 72037 75.665 * * [simplify]: Extracting #7: cost 0 inf + 97802 75.694 * * [simplify]: Extracting #8: cost 0 inf + 97471 75.718 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 75.718 * [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)))))) 75.718 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 75.719 * * [simplify]: iters left: 6 (11 enodes) 75.726 * * [simplify]: iters left: 5 (45 enodes) 75.741 * * [simplify]: iters left: 4 (68 enodes) 75.758 * * [simplify]: iters left: 3 (110 enodes) 75.782 * * [simplify]: iters left: 2 (217 enodes) 75.847 * * [simplify]: iters left: 1 (409 enodes) 76.006 * * [simplify]: Extracting #0: cost 1 inf + 0 76.006 * * [simplify]: Extracting #1: cost 6 inf + 0 76.006 * * [simplify]: Extracting #2: cost 42 inf + 0 76.007 * * [simplify]: Extracting #3: cost 137 inf + 1 76.009 * * [simplify]: Extracting #4: cost 192 inf + 1125 76.013 * * [simplify]: Extracting #5: cost 129 inf + 15257 76.022 * * [simplify]: Extracting #6: cost 17 inf + 66679 76.032 * * [simplify]: Extracting #7: cost 0 inf + 76084 76.047 * * [simplify]: Extracting #8: cost 0 inf + 75962 76.062 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 76.062 * [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))))))) 76.062 * * * * [progress]: [ 74 / 307 ] simplifiying candidate # 76.062 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 76.062 * * [simplify]: iters left: 6 (16 enodes) 76.067 * * [simplify]: iters left: 5 (69 enodes) 76.079 * * [simplify]: iters left: 4 (113 enodes) 76.107 * * [simplify]: iters left: 3 (163 enodes) 76.138 * * [simplify]: iters left: 2 (267 enodes) 76.233 * * [simplify]: iters left: 1 (445 enodes) 76.408 * * [simplify]: Extracting #0: cost 1 inf + 0 76.409 * * [simplify]: Extracting #1: cost 11 inf + 0 76.409 * * [simplify]: Extracting #2: cost 22 inf + 0 76.409 * * [simplify]: Extracting #3: cost 50 inf + 0 76.412 * * [simplify]: Extracting #4: cost 131 inf + 43 76.413 * * [simplify]: Extracting #5: cost 184 inf + 499 76.414 * * [simplify]: Extracting #6: cost 153 inf + 3715 76.417 * * [simplify]: Extracting #7: cost 87 inf + 14830 76.427 * * [simplify]: Extracting #8: cost 38 inf + 40122 76.438 * * [simplify]: Extracting #9: cost 3 inf + 74789 76.451 * * [simplify]: Extracting #10: cost 0 inf + 77917 76.475 * [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)))))) 76.475 * [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))))))) 76.476 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.476 * * [simplify]: iters left: 6 (14 enodes) 76.484 * * [simplify]: iters left: 5 (57 enodes) 76.503 * * [simplify]: iters left: 4 (90 enodes) 76.531 * * [simplify]: iters left: 3 (128 enodes) 76.556 * * [simplify]: iters left: 2 (208 enodes) 76.618 * * [simplify]: iters left: 1 (391 enodes) 76.775 * * [simplify]: Extracting #0: cost 1 inf + 0 76.775 * * [simplify]: Extracting #1: cost 4 inf + 0 76.775 * * [simplify]: Extracting #2: cost 8 inf + 0 76.775 * * [simplify]: Extracting #3: cost 39 inf + 0 76.775 * * [simplify]: Extracting #4: cost 119 inf + 43 76.776 * * [simplify]: Extracting #5: cost 174 inf + 380 76.777 * * [simplify]: Extracting #6: cost 122 inf + 9329 76.782 * * [simplify]: Extracting #7: cost 62 inf + 21467 76.792 * * [simplify]: Extracting #8: cost 14 inf + 56034 76.811 * * [simplify]: Extracting #9: cost 0 inf + 70061 76.830 * * [simplify]: Extracting #10: cost 0 inf + 69217 76.840 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 76.840 * [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))))))) 76.840 * * * * [progress]: [ 75 / 307 ] simplifiying candidate # 76.841 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 76.841 * * [simplify]: iters left: 6 (15 enodes) 76.845 * * [simplify]: iters left: 5 (62 enodes) 76.857 * * [simplify]: iters left: 4 (96 enodes) 76.885 * * [simplify]: iters left: 3 (142 enodes) 76.916 * * [simplify]: iters left: 2 (240 enodes) 76.974 * * [simplify]: iters left: 1 (415 enodes) 77.142 * * [simplify]: Extracting #0: cost 1 inf + 0 77.142 * * [simplify]: Extracting #1: cost 7 inf + 0 77.142 * * [simplify]: Extracting #2: cost 15 inf + 0 77.142 * * [simplify]: Extracting #3: cost 49 inf + 0 77.143 * * [simplify]: Extracting #4: cost 142 inf + 84 77.144 * * [simplify]: Extracting #5: cost 184 inf + 543 77.148 * * [simplify]: Extracting #6: cost 128 inf + 12551 77.157 * * [simplify]: Extracting #7: cost 33 inf + 55202 77.168 * * [simplify]: Extracting #8: cost 0 inf + 78845 77.180 * * [simplify]: Extracting #9: cost 0 inf + 77457 77.203 * * [simplify]: Extracting #10: cost 0 inf + 77329 77.229 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 77.229 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 77.229 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 77.230 * * [simplify]: iters left: 6 (14 enodes) 77.238 * * [simplify]: iters left: 5 (57 enodes) 77.251 * * [simplify]: iters left: 4 (91 enodes) 77.266 * * [simplify]: iters left: 3 (129 enodes) 77.299 * * [simplify]: iters left: 2 (209 enodes) 77.365 * * [simplify]: iters left: 1 (390 enodes) 77.545 * * [simplify]: Extracting #0: cost 1 inf + 0 77.546 * * [simplify]: Extracting #1: cost 4 inf + 0 77.546 * * [simplify]: Extracting #2: cost 9 inf + 0 77.546 * * [simplify]: Extracting #3: cost 43 inf + 0 77.546 * * [simplify]: Extracting #4: cost 133 inf + 43 77.552 * * [simplify]: Extracting #5: cost 163 inf + 465 77.555 * * [simplify]: Extracting #6: cost 112 inf + 6711 77.562 * * [simplify]: Extracting #7: cost 64 inf + 15827 77.574 * * [simplify]: Extracting #8: cost 27 inf + 43973 77.594 * * [simplify]: Extracting #9: cost 0 inf + 66304 77.604 * * [simplify]: Extracting #10: cost 0 inf + 65210 77.614 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 77.614 * [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))))))) 77.615 * * * * [progress]: [ 76 / 307 ] simplifiying candidate # 77.615 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 77.615 * * [simplify]: iters left: 6 (6 enodes) 77.617 * * [simplify]: iters left: 5 (20 enodes) 77.621 * * [simplify]: iters left: 4 (30 enodes) 77.626 * * [simplify]: iters left: 3 (31 enodes) 77.633 * * [simplify]: Extracting #0: cost 1 inf + 0 77.633 * * [simplify]: Extracting #1: cost 5 inf + 0 77.633 * * [simplify]: Extracting #2: cost 7 inf + 1 77.633 * * [simplify]: Extracting #3: cost 9 inf + 1 77.633 * * [simplify]: Extracting #4: cost 8 inf + 2 77.633 * * [simplify]: Extracting #5: cost 0 inf + 972 77.633 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 77.633 * [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)))))) 77.634 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 77.634 * * [simplify]: iters left: 6 (13 enodes) 77.638 * * [simplify]: iters left: 5 (54 enodes) 77.648 * * [simplify]: iters left: 4 (85 enodes) 77.665 * * [simplify]: iters left: 3 (129 enodes) 77.690 * * [simplify]: iters left: 2 (231 enodes) 77.742 * * [simplify]: iters left: 1 (414 enodes) 77.916 * * [simplify]: Extracting #0: cost 1 inf + 0 77.916 * * [simplify]: Extracting #1: cost 6 inf + 0 77.916 * * [simplify]: Extracting #2: cost 41 inf + 0 77.917 * * [simplify]: Extracting #3: cost 135 inf + 1 77.918 * * [simplify]: Extracting #4: cost 175 inf + 668 77.921 * * [simplify]: Extracting #5: cost 140 inf + 4264 77.925 * * [simplify]: Extracting #6: cost 75 inf + 19129 77.937 * * [simplify]: Extracting #7: cost 8 inf + 69198 77.949 * * [simplify]: Extracting #8: cost 0 inf + 74121 77.968 * * [simplify]: Extracting #9: cost 0 inf + 73528 77.993 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 77.993 * [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)))))) 77.993 * * * * [progress]: [ 77 / 307 ] simplifiying candidate # 77.993 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 77.994 * * [simplify]: iters left: 6 (15 enodes) 78.003 * * [simplify]: iters left: 5 (65 enodes) 78.025 * * [simplify]: iters left: 4 (107 enodes) 78.048 * * [simplify]: iters left: 3 (179 enodes) 78.106 * * [simplify]: iters left: 2 (351 enodes) 78.250 * * [simplify]: Extracting #0: cost 1 inf + 0 78.250 * * [simplify]: Extracting #1: cost 43 inf + 0 78.251 * * [simplify]: Extracting #2: cost 138 inf + 0 78.252 * * [simplify]: Extracting #3: cost 205 inf + 2 78.254 * * [simplify]: Extracting #4: cost 180 inf + 8167 78.269 * * [simplify]: Extracting #5: cost 69 inf + 63989 78.303 * * [simplify]: Extracting #6: cost 0 inf + 111221 78.322 * * [simplify]: Extracting #7: cost 0 inf + 109284 78.343 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 78.343 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 78.343 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 78.344 * * [simplify]: iters left: 6 (14 enodes) 78.352 * * [simplify]: iters left: 5 (60 enodes) 78.367 * * [simplify]: iters left: 4 (98 enodes) 78.384 * * [simplify]: iters left: 3 (157 enodes) 78.421 * * [simplify]: iters left: 2 (285 enodes) 78.505 * * [simplify]: Extracting #0: cost 1 inf + 0 78.505 * * [simplify]: Extracting #1: cost 6 inf + 0 78.505 * * [simplify]: Extracting #2: cost 26 inf + 0 78.505 * * [simplify]: Extracting #3: cost 95 inf + 1 78.505 * * [simplify]: Extracting #4: cost 120 inf + 383 78.507 * * [simplify]: Extracting #5: cost 77 inf + 6104 78.510 * * [simplify]: Extracting #6: cost 13 inf + 27686 78.518 * * [simplify]: Extracting #7: cost 0 inf + 36770 78.523 * * [simplify]: Extracting #8: cost 0 inf + 36275 78.529 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 78.529 * [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 (- 1 k))))))) 78.529 * * * * [progress]: [ 78 / 307 ] simplifiying candidate # 78.529 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 78.529 * * [simplify]: iters left: 6 (11 enodes) 78.533 * * [simplify]: iters left: 5 (45 enodes) 78.541 * * [simplify]: iters left: 4 (72 enodes) 78.560 * * [simplify]: iters left: 3 (113 enodes) 78.602 * * [simplify]: iters left: 2 (204 enodes) 78.681 * * [simplify]: iters left: 1 (395 enodes) 78.864 * * [simplify]: Extracting #0: cost 1 inf + 0 78.864 * * [simplify]: Extracting #1: cost 6 inf + 0 78.864 * * [simplify]: Extracting #2: cost 40 inf + 0 78.865 * * [simplify]: Extracting #3: cost 136 inf + 2 78.865 * * [simplify]: Extracting #4: cost 180 inf + 743 78.867 * * [simplify]: Extracting #5: cost 139 inf + 9253 78.874 * * [simplify]: Extracting #6: cost 23 inf + 57399 78.885 * * [simplify]: Extracting #7: cost 0 inf + 70507 78.904 * * [simplify]: Extracting #8: cost 0 inf + 69247 78.913 * * [simplify]: Extracting #9: cost 0 inf + 69126 78.923 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 78.923 * [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)))))) 78.923 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 78.923 * * [simplify]: iters left: 6 (11 enodes) 78.927 * * [simplify]: iters left: 5 (45 enodes) 78.937 * * [simplify]: iters left: 4 (68 enodes) 78.950 * * [simplify]: iters left: 3 (110 enodes) 78.981 * * [simplify]: iters left: 2 (217 enodes) 79.032 * * [simplify]: iters left: 1 (409 enodes) 79.163 * * [simplify]: Extracting #0: cost 1 inf + 0 79.163 * * [simplify]: Extracting #1: cost 6 inf + 0 79.163 * * [simplify]: Extracting #2: cost 42 inf + 0 79.163 * * [simplify]: Extracting #3: cost 137 inf + 1 79.164 * * [simplify]: Extracting #4: cost 192 inf + 1205 79.167 * * [simplify]: Extracting #5: cost 129 inf + 15337 79.178 * * [simplify]: Extracting #6: cost 17 inf + 66759 79.199 * * [simplify]: Extracting #7: cost 0 inf + 76164 79.220 * * [simplify]: Extracting #8: cost 0 inf + 76042 79.241 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.241 * [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))))))) 79.241 * * * * [progress]: [ 79 / 307 ] simplifiying candidate # 79.242 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 79.242 * * [simplify]: iters left: 6 (16 enodes) 79.251 * * [simplify]: iters left: 5 (66 enodes) 79.270 * * [simplify]: iters left: 4 (97 enodes) 79.286 * * [simplify]: iters left: 3 (140 enodes) 79.327 * * [simplify]: iters left: 2 (241 enodes) 79.386 * * [simplify]: iters left: 1 (408 enodes) 79.590 * * [simplify]: Extracting #0: cost 1 inf + 0 79.590 * * [simplify]: Extracting #1: cost 6 inf + 0 79.591 * * [simplify]: Extracting #2: cost 13 inf + 0 79.591 * * [simplify]: Extracting #3: cost 40 inf + 0 79.591 * * [simplify]: Extracting #4: cost 115 inf + 164 79.592 * * [simplify]: Extracting #5: cost 170 inf + 623 79.596 * * [simplify]: Extracting #6: cost 136 inf + 7730 79.604 * * [simplify]: Extracting #7: cost 52 inf + 30795 79.613 * * [simplify]: Extracting #8: cost 2 inf + 62070 79.623 * * [simplify]: Extracting #9: cost 0 inf + 62933 79.633 * * [simplify]: Extracting #10: cost 0 inf + 62511 79.646 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))))) 79.646 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI n) 2) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 79.646 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 79.646 * * [simplify]: iters left: 6 (14 enodes) 79.651 * * [simplify]: iters left: 5 (57 enodes) 79.662 * * [simplify]: iters left: 4 (90 enodes) 79.676 * * [simplify]: iters left: 3 (128 enodes) 79.701 * * [simplify]: iters left: 2 (208 enodes) 79.781 * * [simplify]: iters left: 1 (391 enodes) 79.931 * * [simplify]: Extracting #0: cost 1 inf + 0 79.931 * * [simplify]: Extracting #1: cost 4 inf + 0 79.931 * * [simplify]: Extracting #2: cost 8 inf + 0 79.932 * * [simplify]: Extracting #3: cost 39 inf + 0 79.932 * * [simplify]: Extracting #4: cost 119 inf + 83 79.933 * * [simplify]: Extracting #5: cost 174 inf + 460 79.937 * * [simplify]: Extracting #6: cost 122 inf + 9409 79.944 * * [simplify]: Extracting #7: cost 62 inf + 21547 79.959 * * [simplify]: Extracting #8: cost 14 inf + 56114 79.978 * * [simplify]: Extracting #9: cost 0 inf + 70141 79.998 * * [simplify]: Extracting #10: cost 0 inf + 69297 80.018 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.018 * [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))))))) 80.019 * * * * [progress]: [ 80 / 307 ] simplifiying candidate # 80.019 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.019 * * [simplify]: iters left: 6 (15 enodes) 80.028 * * [simplify]: iters left: 5 (61 enodes) 80.047 * * [simplify]: iters left: 4 (91 enodes) 80.079 * * [simplify]: iters left: 3 (131 enodes) 80.125 * * [simplify]: iters left: 2 (227 enodes) 80.180 * * [simplify]: iters left: 1 (402 enodes) 80.323 * * [simplify]: Extracting #0: cost 1 inf + 0 80.323 * * [simplify]: Extracting #1: cost 4 inf + 0 80.323 * * [simplify]: Extracting #2: cost 10 inf + 0 80.323 * * [simplify]: Extracting #3: cost 43 inf + 0 80.324 * * [simplify]: Extracting #4: cost 132 inf + 83 80.325 * * [simplify]: Extracting #5: cost 176 inf + 748 80.329 * * [simplify]: Extracting #6: cost 124 inf + 9108 80.339 * * [simplify]: Extracting #7: cost 42 inf + 35102 80.356 * * [simplify]: Extracting #8: cost 2 inf + 67573 80.370 * * [simplify]: Extracting #9: cost 0 inf + 66038 80.386 * [simplify]: Simplified to (/ (fabs (cbrt k)) (fabs (pow (* (* 2 PI) n) (- 1/4 (/ k 4))))) 80.386 * [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))))))) 80.386 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 80.387 * * [simplify]: iters left: 6 (14 enodes) 80.394 * * [simplify]: iters left: 5 (57 enodes) 80.405 * * [simplify]: iters left: 4 (91 enodes) 80.420 * * [simplify]: iters left: 3 (129 enodes) 80.459 * * [simplify]: iters left: 2 (209 enodes) 80.511 * * [simplify]: iters left: 1 (390 enodes) 80.662 * * [simplify]: Extracting #0: cost 1 inf + 0 80.663 * * [simplify]: Extracting #1: cost 4 inf + 0 80.663 * * [simplify]: Extracting #2: cost 9 inf + 0 80.663 * * [simplify]: Extracting #3: cost 43 inf + 0 80.664 * * [simplify]: Extracting #4: cost 133 inf + 83 80.665 * * [simplify]: Extracting #5: cost 163 inf + 545 80.669 * * [simplify]: Extracting #6: cost 112 inf + 6791 80.675 * * [simplify]: Extracting #7: cost 64 inf + 15907 80.688 * * [simplify]: Extracting #8: cost 27 inf + 44053 80.703 * * [simplify]: Extracting #9: cost 0 inf + 66384 80.713 * * [simplify]: Extracting #10: cost 0 inf + 65290 80.723 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 80.723 * [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))))))) 80.723 * * * * [progress]: [ 81 / 307 ] simplifiying candidate # 80.723 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 80.723 * * [simplify]: iters left: 6 (6 enodes) 80.725 * * [simplify]: iters left: 5 (19 enodes) 80.729 * * [simplify]: iters left: 4 (23 enodes) 80.735 * * [simplify]: Extracting #0: cost 1 inf + 0 80.735 * * [simplify]: Extracting #1: cost 5 inf + 0 80.735 * * [simplify]: Extracting #2: cost 7 inf + 1 80.735 * * [simplify]: Extracting #3: cost 6 inf + 2 80.735 * * [simplify]: Extracting #4: cost 0 inf + 648 80.735 * [simplify]: Simplified to (fabs (cbrt k)) 80.735 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 80.736 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 80.736 * * [simplify]: iters left: 6 (13 enodes) 80.743 * * [simplify]: iters left: 5 (54 enodes) 80.763 * * [simplify]: iters left: 4 (85 enodes) 80.791 * * [simplify]: iters left: 3 (129 enodes) 80.815 * * [simplify]: iters left: 2 (231 enodes) 80.861 * * [simplify]: iters left: 1 (414 enodes) 81.038 * * [simplify]: Extracting #0: cost 1 inf + 0 81.038 * * [simplify]: Extracting #1: cost 6 inf + 0 81.038 * * [simplify]: Extracting #2: cost 41 inf + 0 81.039 * * [simplify]: Extracting #3: cost 135 inf + 1 81.039 * * [simplify]: Extracting #4: cost 175 inf + 708 81.041 * * [simplify]: Extracting #5: cost 140 inf + 4344 81.047 * * [simplify]: Extracting #6: cost 75 inf + 19209 81.065 * * [simplify]: Extracting #7: cost 8 inf + 69278 81.082 * * [simplify]: Extracting #8: cost 0 inf + 74201 81.095 * * [simplify]: Extracting #9: cost 0 inf + 73608 81.107 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 81.107 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 81.107 * * * * [progress]: [ 82 / 307 ] simplifiying candidate # 81.107 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.107 * * [simplify]: iters left: 6 (15 enodes) 81.112 * * [simplify]: iters left: 5 (64 enodes) 81.123 * * [simplify]: iters left: 4 (102 enodes) 81.156 * * [simplify]: iters left: 3 (161 enodes) 81.197 * * [simplify]: iters left: 2 (285 enodes) 81.270 * * [simplify]: Extracting #0: cost 1 inf + 0 81.270 * * [simplify]: Extracting #1: cost 6 inf + 0 81.270 * * [simplify]: Extracting #2: cost 27 inf + 0 81.271 * * [simplify]: Extracting #3: cost 97 inf + 1 81.271 * * [simplify]: Extracting #4: cost 121 inf + 625 81.274 * * [simplify]: Extracting #5: cost 72 inf + 6291 81.279 * * [simplify]: Extracting #6: cost 32 inf + 15435 81.287 * * [simplify]: Extracting #7: cost 2 inf + 35203 81.297 * * [simplify]: Extracting #8: cost 0 inf + 35705 81.306 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 81.306 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 81.307 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 81.307 * * [simplify]: iters left: 6 (14 enodes) 81.315 * * [simplify]: iters left: 5 (60 enodes) 81.333 * * [simplify]: iters left: 4 (98 enodes) 81.361 * * [simplify]: iters left: 3 (157 enodes) 81.412 * * [simplify]: iters left: 2 (285 enodes) 81.493 * * [simplify]: Extracting #0: cost 1 inf + 0 81.493 * * [simplify]: Extracting #1: cost 6 inf + 0 81.493 * * [simplify]: Extracting #2: cost 26 inf + 0 81.493 * * [simplify]: Extracting #3: cost 95 inf + 1 81.494 * * [simplify]: Extracting #4: cost 120 inf + 423 81.496 * * [simplify]: Extracting #5: cost 77 inf + 6184 81.503 * * [simplify]: Extracting #6: cost 13 inf + 27766 81.514 * * [simplify]: Extracting #7: cost 0 inf + 36850 81.524 * * [simplify]: Extracting #8: cost 0 inf + 36355 81.535 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 81.535 * [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 (- 1 k))))))) 81.535 * * * * [progress]: [ 83 / 307 ] simplifiying candidate # 81.536 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 81.536 * * [simplify]: iters left: 6 (10 enodes) 81.541 * * [simplify]: iters left: 5 (41 enodes) 81.555 * * [simplify]: iters left: 4 (64 enodes) 81.567 * * [simplify]: iters left: 3 (106 enodes) 81.591 * * [simplify]: iters left: 2 (210 enodes) 81.672 * * [simplify]: iters left: 1 (396 enodes) 81.861 * * [simplify]: Extracting #0: cost 1 inf + 0 81.861 * * [simplify]: Extracting #1: cost 6 inf + 0 81.861 * * [simplify]: Extracting #2: cost 42 inf + 0 81.861 * * [simplify]: Extracting #3: cost 133 inf + 2 81.862 * * [simplify]: Extracting #4: cost 184 inf + 297 81.863 * * [simplify]: Extracting #5: cost 159 inf + 4285 81.866 * * [simplify]: Extracting #6: cost 84 inf + 17544 81.874 * * [simplify]: Extracting #7: cost 18 inf + 60379 81.885 * * [simplify]: Extracting #8: cost 0 inf + 75402 81.900 * * [simplify]: Extracting #9: cost 0 inf + 74897 81.920 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 81.920 * [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)))))) 81.920 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 81.920 * * [simplify]: iters left: 6 (11 enodes) 81.924 * * [simplify]: iters left: 5 (45 enodes) 81.932 * * [simplify]: iters left: 4 (68 enodes) 81.947 * * [simplify]: iters left: 3 (110 enodes) 81.990 * * [simplify]: iters left: 2 (217 enodes) 82.074 * * [simplify]: iters left: 1 (409 enodes) 82.201 * * [simplify]: Extracting #0: cost 1 inf + 0 82.201 * * [simplify]: Extracting #1: cost 6 inf + 0 82.201 * * [simplify]: Extracting #2: cost 42 inf + 0 82.201 * * [simplify]: Extracting #3: cost 137 inf + 1 82.202 * * [simplify]: Extracting #4: cost 192 inf + 1045 82.205 * * [simplify]: Extracting #5: cost 129 inf + 15057 82.214 * * [simplify]: Extracting #6: cost 17 inf + 65999 82.227 * * [simplify]: Extracting #7: cost 0 inf + 75164 82.238 * * [simplify]: Extracting #8: cost 0 inf + 75042 82.248 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 82.248 * [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))))))) 82.248 * * * * [progress]: [ 84 / 307 ] simplifiying candidate # 82.248 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 82.249 * * [simplify]: iters left: 6 (15 enodes) 82.253 * * [simplify]: iters left: 5 (62 enodes) 82.264 * * [simplify]: iters left: 4 (93 enodes) 82.279 * * [simplify]: iters left: 3 (133 enodes) 82.307 * * [simplify]: iters left: 2 (229 enodes) 82.364 * * [simplify]: iters left: 1 (406 enodes) 82.519 * * [simplify]: Extracting #0: cost 1 inf + 0 82.519 * * [simplify]: Extracting #1: cost 6 inf + 0 82.519 * * [simplify]: Extracting #2: cost 12 inf + 0 82.519 * * [simplify]: Extracting #3: cost 40 inf + 0 82.520 * * [simplify]: Extracting #4: cost 112 inf + 84 82.522 * * [simplify]: Extracting #5: cost 173 inf + 382 82.525 * * [simplify]: Extracting #6: cost 126 inf + 10074 82.534 * * [simplify]: Extracting #7: cost 48 inf + 28398 82.549 * * [simplify]: Extracting #8: cost 14 inf + 53830 82.570 * * [simplify]: Extracting #9: cost 0 inf + 67601 82.592 * * [simplify]: Extracting #10: cost 0 inf + 66723 82.619 * * [simplify]: Extracting #11: cost 0 inf + 65235 82.640 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 82.640 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 82.641 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 82.641 * * [simplify]: iters left: 6 (14 enodes) 82.649 * * [simplify]: iters left: 5 (57 enodes) 82.668 * * [simplify]: iters left: 4 (90 enodes) 82.697 * * [simplify]: iters left: 3 (128 enodes) 82.741 * * [simplify]: iters left: 2 (208 enodes) 82.810 * * [simplify]: iters left: 1 (391 enodes) 82.996 * * [simplify]: Extracting #0: cost 1 inf + 0 82.997 * * [simplify]: Extracting #1: cost 4 inf + 0 82.997 * * [simplify]: Extracting #2: cost 8 inf + 0 82.997 * * [simplify]: Extracting #3: cost 39 inf + 0 82.997 * * [simplify]: Extracting #4: cost 119 inf + 43 82.999 * * [simplify]: Extracting #5: cost 174 inf + 340 83.002 * * [simplify]: Extracting #6: cost 122 inf + 9169 83.010 * * [simplify]: Extracting #7: cost 62 inf + 21307 83.024 * * [simplify]: Extracting #8: cost 14 inf + 55874 83.034 * * [simplify]: Extracting #9: cost 0 inf + 69901 83.044 * * [simplify]: Extracting #10: cost 0 inf + 69057 83.054 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.054 * [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))))))) 83.054 * * * * [progress]: [ 85 / 307 ] simplifiying candidate # 83.055 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.055 * * [simplify]: iters left: 6 (14 enodes) 83.059 * * [simplify]: iters left: 5 (57 enodes) 83.077 * * [simplify]: iters left: 4 (91 enodes) 83.101 * * [simplify]: iters left: 3 (129 enodes) 83.127 * * [simplify]: iters left: 2 (209 enodes) 83.209 * * [simplify]: iters left: 1 (390 enodes) 83.391 * * [simplify]: Extracting #0: cost 1 inf + 0 83.391 * * [simplify]: Extracting #1: cost 4 inf + 0 83.391 * * [simplify]: Extracting #2: cost 9 inf + 0 83.392 * * [simplify]: Extracting #3: cost 43 inf + 0 83.392 * * [simplify]: Extracting #4: cost 133 inf + 43 83.394 * * [simplify]: Extracting #5: cost 163 inf + 425 83.397 * * [simplify]: Extracting #6: cost 112 inf + 6631 83.403 * * [simplify]: Extracting #7: cost 64 inf + 15667 83.419 * * [simplify]: Extracting #8: cost 27 inf + 43813 83.435 * * [simplify]: Extracting #9: cost 0 inf + 66144 83.444 * * [simplify]: Extracting #10: cost 0 inf + 65050 83.455 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.455 * [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))))))) 83.455 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 83.455 * * [simplify]: iters left: 6 (14 enodes) 83.459 * * [simplify]: iters left: 5 (57 enodes) 83.476 * * [simplify]: iters left: 4 (91 enodes) 83.504 * * [simplify]: iters left: 3 (129 enodes) 83.545 * * [simplify]: iters left: 2 (209 enodes) 83.597 * * [simplify]: iters left: 1 (390 enodes) 83.798 * * [simplify]: Extracting #0: cost 1 inf + 0 83.798 * * [simplify]: Extracting #1: cost 4 inf + 0 83.798 * * [simplify]: Extracting #2: cost 9 inf + 0 83.798 * * [simplify]: Extracting #3: cost 43 inf + 0 83.799 * * [simplify]: Extracting #4: cost 133 inf + 43 83.799 * * [simplify]: Extracting #5: cost 163 inf + 425 83.801 * * [simplify]: Extracting #6: cost 112 inf + 6631 83.804 * * [simplify]: Extracting #7: cost 64 inf + 15667 83.810 * * [simplify]: Extracting #8: cost 27 inf + 43813 83.820 * * [simplify]: Extracting #9: cost 0 inf + 66144 83.830 * * [simplify]: Extracting #10: cost 0 inf + 65050 83.841 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 83.841 * [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))))))) 83.841 * * * * [progress]: [ 86 / 307 ] simplifiying candidate # 83.841 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 83.841 * * [simplify]: iters left: 4 (5 enodes) 83.843 * * [simplify]: iters left: 3 (15 enodes) 83.848 * * [simplify]: iters left: 2 (17 enodes) 83.852 * * [simplify]: iters left: 1 (19 enodes) 83.855 * * [simplify]: Extracting #0: cost 1 inf + 0 83.855 * * [simplify]: Extracting #1: cost 4 inf + 0 83.855 * * [simplify]: Extracting #2: cost 5 inf + 1 83.855 * * [simplify]: Extracting #3: cost 4 inf + 2 83.855 * * [simplify]: Extracting #4: cost 1 inf + 165 83.855 * * [simplify]: Extracting #5: cost 0 inf + 246 83.855 * [simplify]: Simplified to (sqrt (sqrt k)) 83.855 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 83.855 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 83.855 * * [simplify]: iters left: 6 (13 enodes) 83.859 * * [simplify]: iters left: 5 (54 enodes) 83.869 * * [simplify]: iters left: 4 (85 enodes) 83.884 * * [simplify]: iters left: 3 (129 enodes) 83.915 * * [simplify]: iters left: 2 (231 enodes) 83.988 * * [simplify]: iters left: 1 (414 enodes) 84.222 * * [simplify]: Extracting #0: cost 1 inf + 0 84.222 * * [simplify]: Extracting #1: cost 6 inf + 0 84.222 * * [simplify]: Extracting #2: cost 41 inf + 0 84.223 * * [simplify]: Extracting #3: cost 135 inf + 1 84.224 * * [simplify]: Extracting #4: cost 175 inf + 588 84.227 * * [simplify]: Extracting #5: cost 140 inf + 4184 84.234 * * [simplify]: Extracting #6: cost 75 inf + 18889 84.246 * * [simplify]: Extracting #7: cost 8 inf + 68398 84.258 * * [simplify]: Extracting #8: cost 0 inf + 73201 84.271 * * [simplify]: Extracting #9: cost 0 inf + 72608 84.285 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 84.285 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 84.285 * * * * [progress]: [ 87 / 307 ] simplifiying candidate # 84.286 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.286 * * [simplify]: iters left: 6 (14 enodes) 84.291 * * [simplify]: iters left: 5 (60 enodes) 84.308 * * [simplify]: iters left: 4 (98 enodes) 84.338 * * [simplify]: iters left: 3 (157 enodes) 84.374 * * [simplify]: iters left: 2 (285 enodes) 84.458 * * [simplify]: Extracting #0: cost 1 inf + 0 84.458 * * [simplify]: Extracting #1: cost 6 inf + 0 84.458 * * [simplify]: Extracting #2: cost 26 inf + 0 84.458 * * [simplify]: Extracting #3: cost 95 inf + 1 84.459 * * [simplify]: Extracting #4: cost 120 inf + 343 84.462 * * [simplify]: Extracting #5: cost 77 inf + 6024 84.469 * * [simplify]: Extracting #6: cost 13 inf + 27206 84.480 * * [simplify]: Extracting #7: cost 0 inf + 36170 84.491 * * [simplify]: Extracting #8: cost 0 inf + 35675 84.502 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 84.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 84.502 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 84.502 * * [simplify]: iters left: 6 (14 enodes) 84.511 * * [simplify]: iters left: 5 (60 enodes) 84.522 * * [simplify]: iters left: 4 (98 enodes) 84.552 * * [simplify]: iters left: 3 (157 enodes) 84.601 * * [simplify]: iters left: 2 (285 enodes) 84.708 * * [simplify]: Extracting #0: cost 1 inf + 0 84.709 * * [simplify]: Extracting #1: cost 6 inf + 0 84.709 * * [simplify]: Extracting #2: cost 26 inf + 0 84.709 * * [simplify]: Extracting #3: cost 95 inf + 1 84.709 * * [simplify]: Extracting #4: cost 120 inf + 343 84.710 * * [simplify]: Extracting #5: cost 77 inf + 6024 84.714 * * [simplify]: Extracting #6: cost 13 inf + 27206 84.720 * * [simplify]: Extracting #7: cost 0 inf + 36170 84.726 * * [simplify]: Extracting #8: cost 0 inf + 35675 84.732 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 84.732 * [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 (- 1 k))))))) 84.732 * * * * [progress]: [ 88 / 307 ] simplifiying candidate # 84.732 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 84.732 * * [simplify]: iters left: 6 (9 enodes) 84.739 * * [simplify]: iters left: 5 (38 enodes) 84.748 * * [simplify]: iters left: 4 (61 enodes) 84.759 * * [simplify]: iters left: 3 (103 enodes) 84.791 * * [simplify]: iters left: 2 (207 enodes) 84.845 * * [simplify]: iters left: 1 (396 enodes) 85.032 * * [simplify]: Extracting #0: cost 1 inf + 0 85.032 * * [simplify]: Extracting #1: cost 6 inf + 0 85.032 * * [simplify]: Extracting #2: cost 43 inf + 1 85.033 * * [simplify]: Extracting #3: cost 138 inf + 3 85.034 * * [simplify]: Extracting #4: cost 192 inf + 10 85.037 * * [simplify]: Extracting #5: cost 158 inf + 4066 85.043 * * [simplify]: Extracting #6: cost 89 inf + 14179 85.056 * * [simplify]: Extracting #7: cost 23 inf + 57052 85.066 * * [simplify]: Extracting #8: cost 0 inf + 75261 85.077 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 85.077 * [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)))))) 85.077 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 85.077 * * [simplify]: iters left: 6 (10 enodes) 85.081 * * [simplify]: iters left: 5 (42 enodes) 85.094 * * [simplify]: iters left: 4 (65 enodes) 85.115 * * [simplify]: iters left: 3 (104 enodes) 85.155 * * [simplify]: iters left: 2 (206 enodes) 85.230 * * [simplify]: iters left: 1 (397 enodes) 85.392 * * [simplify]: Extracting #0: cost 1 inf + 0 85.392 * * [simplify]: Extracting #1: cost 6 inf + 0 85.392 * * [simplify]: Extracting #2: cost 45 inf + 0 85.393 * * [simplify]: Extracting #3: cost 140 inf + 43 85.395 * * [simplify]: Extracting #4: cost 189 inf + 1383 85.400 * * [simplify]: Extracting #5: cost 133 inf + 9970 85.414 * * [simplify]: Extracting #6: cost 50 inf + 44951 85.440 * * [simplify]: Extracting #7: cost 0 inf + 80043 85.463 * * [simplify]: Extracting #8: cost 0 inf + 78450 85.486 * * [simplify]: Extracting #9: cost 0 inf + 77648 85.509 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 85.509 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 85.510 * * * * [progress]: [ 89 / 307 ] simplifiying candidate # 85.510 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 85.510 * * [simplify]: iters left: 6 (14 enodes) 85.518 * * [simplify]: iters left: 5 (59 enodes) 85.538 * * [simplify]: iters left: 4 (97 enodes) 85.568 * * [simplify]: iters left: 3 (138 enodes) 85.614 * * [simplify]: iters left: 2 (218 enodes) 85.667 * * [simplify]: iters left: 1 (401 enodes) 85.871 * * [simplify]: Extracting #0: cost 1 inf + 0 85.871 * * [simplify]: Extracting #1: cost 7 inf + 0 85.871 * * [simplify]: Extracting #2: cost 11 inf + 1 85.871 * * [simplify]: Extracting #3: cost 38 inf + 1 85.872 * * [simplify]: Extracting #4: cost 109 inf + 2 85.873 * * [simplify]: Extracting #5: cost 168 inf + 218 85.875 * * [simplify]: Extracting #6: cost 171 inf + 478 85.878 * * [simplify]: Extracting #7: cost 119 inf + 5773 85.889 * * [simplify]: Extracting #8: cost 36 inf + 35310 85.906 * * [simplify]: Extracting #9: cost 0 inf + 64575 85.920 * * [simplify]: Extracting #10: cost 0 inf + 63466 85.930 * * [simplify]: Extracting #11: cost 0 inf + 62843 85.940 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 85.940 * [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))))))) 85.941 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 85.941 * * [simplify]: iters left: 6 (13 enodes) 85.947 * * [simplify]: iters left: 5 (54 enodes) 85.966 * * [simplify]: iters left: 4 (87 enodes) 85.992 * * [simplify]: iters left: 3 (129 enodes) 86.021 * * [simplify]: iters left: 2 (210 enodes) 86.104 * * [simplify]: iters left: 1 (393 enodes) 86.671 * * [simplify]: Extracting #0: cost 1 inf + 0 86.671 * * [simplify]: Extracting #1: cost 4 inf + 0 86.671 * * [simplify]: Extracting #2: cost 8 inf + 0 86.671 * * [simplify]: Extracting #3: cost 33 inf + 1 86.671 * * [simplify]: Extracting #4: cost 113 inf + 43 86.672 * * [simplify]: Extracting #5: cost 161 inf + 301 86.673 * * [simplify]: Extracting #6: cost 117 inf + 6133 86.677 * * [simplify]: Extracting #7: cost 63 inf + 19273 86.685 * * [simplify]: Extracting #8: cost 10 inf + 55308 86.695 * * [simplify]: Extracting #9: cost 0 inf + 63720 86.705 * * [simplify]: Extracting #10: cost 0 inf + 63296 86.724 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.724 * [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))))))) 86.725 * * * * [progress]: [ 90 / 307 ] simplifiying candidate # 86.725 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 86.725 * * [simplify]: iters left: 6 (13 enodes) 86.733 * * [simplify]: iters left: 5 (54 enodes) 86.747 * * [simplify]: iters left: 4 (88 enodes) 86.762 * * [simplify]: iters left: 3 (126 enodes) 86.796 * * [simplify]: iters left: 2 (206 enodes) 86.852 * * [simplify]: iters left: 1 (396 enodes) 87.038 * * [simplify]: Extracting #0: cost 1 inf + 0 87.038 * * [simplify]: Extracting #1: cost 4 inf + 0 87.038 * * [simplify]: Extracting #2: cost 6 inf + 1 87.038 * * [simplify]: Extracting #3: cost 37 inf + 1 87.039 * * [simplify]: Extracting #4: cost 127 inf + 2 87.040 * * [simplify]: Extracting #5: cost 163 inf + 177 87.042 * * [simplify]: Extracting #6: cost 161 inf + 600 87.046 * * [simplify]: Extracting #7: cost 95 inf + 8465 87.060 * * [simplify]: Extracting #8: cost 27 inf + 41437 87.079 * * [simplify]: Extracting #9: cost 0 inf + 64498 87.098 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.098 * [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))))))) 87.098 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.098 * * [simplify]: iters left: 6 (13 enodes) 87.103 * * [simplify]: iters left: 5 (54 enodes) 87.113 * * [simplify]: iters left: 4 (88 enodes) 87.129 * * [simplify]: iters left: 3 (126 enodes) 87.168 * * [simplify]: iters left: 2 (206 enodes) 87.215 * * [simplify]: iters left: 1 (396 enodes) 87.383 * * [simplify]: Extracting #0: cost 1 inf + 0 87.383 * * [simplify]: Extracting #1: cost 4 inf + 0 87.383 * * [simplify]: Extracting #2: cost 9 inf + 0 87.384 * * [simplify]: Extracting #3: cost 39 inf + 1 87.384 * * [simplify]: Extracting #4: cost 129 inf + 43 87.385 * * [simplify]: Extracting #5: cost 157 inf + 592 87.387 * * [simplify]: Extracting #6: cost 102 inf + 8543 87.400 * * [simplify]: Extracting #7: cost 26 inf + 45328 87.420 * * [simplify]: Extracting #8: cost 0 inf + 67027 87.430 * * [simplify]: Extracting #9: cost 0 inf + 65553 87.441 * * [simplify]: Extracting #10: cost 0 inf + 65343 87.456 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 87.456 * [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))))))) 87.456 * * * * [progress]: [ 91 / 307 ] simplifiying candidate # 87.457 * [simplify]: Simplifying (/ (sqrt 1) 1) 87.457 * * [simplify]: iters left: 3 (3 enodes) 87.460 * * [simplify]: iters left: 2 (9 enodes) 87.463 * * [simplify]: iters left: 1 (11 enodes) 87.466 * * [simplify]: Extracting #0: cost 1 inf + 0 87.466 * * [simplify]: Extracting #1: cost 0 inf + 1 87.466 * [simplify]: Simplified to 1 87.466 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.467 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.467 * * [simplify]: iters left: 6 (12 enodes) 87.477 * * [simplify]: iters left: 5 (51 enodes) 87.495 * * [simplify]: iters left: 4 (86 enodes) 87.518 * * [simplify]: iters left: 3 (133 enodes) 87.545 * * [simplify]: iters left: 2 (224 enodes) 87.623 * * [simplify]: iters left: 1 (420 enodes) 87.864 * * [simplify]: Extracting #0: cost 1 inf + 0 87.864 * * [simplify]: Extracting #1: cost 6 inf + 0 87.864 * * [simplify]: Extracting #2: cost 43 inf + 0 87.865 * * [simplify]: Extracting #3: cost 141 inf + 84 87.866 * * [simplify]: Extracting #4: cost 184 inf + 426 87.870 * * [simplify]: Extracting #5: cost 133 inf + 6364 87.879 * * [simplify]: Extracting #6: cost 64 inf + 29813 87.900 * * [simplify]: Extracting #7: cost 12 inf + 68347 87.926 * * [simplify]: Extracting #8: cost 0 inf + 77856 87.948 * * [simplify]: Extracting #9: cost 0 inf + 77383 87.964 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 87.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 87.964 * * * * [progress]: [ 92 / 307 ] simplifiying candidate # 87.965 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 87.965 * * [simplify]: iters left: 6 (13 enodes) 87.970 * * [simplify]: iters left: 5 (57 enodes) 87.984 * * [simplify]: iters left: 4 (95 enodes) 88.002 * * [simplify]: iters left: 3 (150 enodes) 88.045 * * [simplify]: iters left: 2 (262 enodes) 88.108 * * [simplify]: iters left: 1 (476 enodes) 88.356 * * [simplify]: Extracting #0: cost 1 inf + 0 88.356 * * [simplify]: Extracting #1: cost 6 inf + 0 88.356 * * [simplify]: Extracting #2: cost 38 inf + 1 88.357 * * [simplify]: Extracting #3: cost 142 inf + 2 88.359 * * [simplify]: Extracting #4: cost 208 inf + 179 88.361 * * [simplify]: Extracting #5: cost 190 inf + 2796 88.368 * * [simplify]: Extracting #6: cost 89 inf + 19594 88.378 * * [simplify]: Extracting #7: cost 7 inf + 73771 88.390 * * [simplify]: Extracting #8: cost 0 inf + 77728 88.410 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.410 * [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)))))) 88.410 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 88.410 * * [simplify]: iters left: 6 (13 enodes) 88.415 * * [simplify]: iters left: 5 (57 enodes) 88.426 * * [simplify]: iters left: 4 (95 enodes) 88.453 * * [simplify]: iters left: 3 (150 enodes) 88.505 * * [simplify]: iters left: 2 (262 enodes) 88.599 * * [simplify]: iters left: 1 (476 enodes) 88.789 * * [simplify]: Extracting #0: cost 1 inf + 0 88.789 * * [simplify]: Extracting #1: cost 6 inf + 0 88.789 * * [simplify]: Extracting #2: cost 41 inf + 0 88.789 * * [simplify]: Extracting #3: cost 143 inf + 84 88.790 * * [simplify]: Extracting #4: cost 204 inf + 429 88.793 * * [simplify]: Extracting #5: cost 133 inf + 12366 88.803 * * [simplify]: Extracting #6: cost 21 inf + 62820 88.828 * * [simplify]: Extracting #7: cost 0 inf + 72656 88.860 * * [simplify]: Extracting #8: cost 0 inf + 72242 88.891 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 88.891 * [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 k) 4)))))) 88.891 * * * * [progress]: [ 93 / 307 ] simplifiying candidate # 88.892 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 88.892 * * [simplify]: iters left: 6 (10 enodes) 88.898 * * [simplify]: iters left: 5 (41 enodes) 88.912 * * [simplify]: iters left: 4 (64 enodes) 88.934 * * [simplify]: iters left: 3 (106 enodes) 88.975 * * [simplify]: iters left: 2 (210 enodes) 89.024 * * [simplify]: iters left: 1 (396 enodes) 89.199 * * [simplify]: Extracting #0: cost 1 inf + 0 89.200 * * [simplify]: Extracting #1: cost 6 inf + 0 89.200 * * [simplify]: Extracting #2: cost 42 inf + 0 89.200 * * [simplify]: Extracting #3: cost 133 inf + 2 89.202 * * [simplify]: Extracting #4: cost 184 inf + 297 89.204 * * [simplify]: Extracting #5: cost 159 inf + 4285 89.211 * * [simplify]: Extracting #6: cost 84 inf + 17544 89.226 * * [simplify]: Extracting #7: cost 18 inf + 60379 89.247 * * [simplify]: Extracting #8: cost 0 inf + 75402 89.258 * * [simplify]: Extracting #9: cost 0 inf + 74897 89.268 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 89.268 * [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)))))) 89.269 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 89.269 * * [simplify]: iters left: 6 (11 enodes) 89.272 * * [simplify]: iters left: 5 (45 enodes) 89.289 * * [simplify]: iters left: 4 (68 enodes) 89.310 * * [simplify]: iters left: 3 (110 enodes) 89.333 * * [simplify]: iters left: 2 (217 enodes) 89.406 * * [simplify]: iters left: 1 (409 enodes) 89.574 * * [simplify]: Extracting #0: cost 1 inf + 0 89.574 * * [simplify]: Extracting #1: cost 6 inf + 0 89.574 * * [simplify]: Extracting #2: cost 42 inf + 0 89.575 * * [simplify]: Extracting #3: cost 137 inf + 1 89.577 * * [simplify]: Extracting #4: cost 192 inf + 1045 89.582 * * [simplify]: Extracting #5: cost 129 inf + 15057 89.604 * * [simplify]: Extracting #6: cost 17 inf + 65999 89.626 * * [simplify]: Extracting #7: cost 0 inf + 75164 89.643 * * [simplify]: Extracting #8: cost 0 inf + 75042 89.654 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 89.654 * [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))))))) 89.654 * * * * [progress]: [ 94 / 307 ] simplifiying candidate # 89.654 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 89.654 * * [simplify]: iters left: 6 (15 enodes) 89.659 * * [simplify]: iters left: 5 (62 enodes) 89.671 * * [simplify]: iters left: 4 (93 enodes) 89.701 * * [simplify]: iters left: 3 (133 enodes) 89.752 * * [simplify]: iters left: 2 (229 enodes) 89.833 * * [simplify]: iters left: 1 (406 enodes) 90.060 * * [simplify]: Extracting #0: cost 1 inf + 0 90.060 * * [simplify]: Extracting #1: cost 6 inf + 0 90.060 * * [simplify]: Extracting #2: cost 12 inf + 0 90.061 * * [simplify]: Extracting #3: cost 40 inf + 0 90.061 * * [simplify]: Extracting #4: cost 112 inf + 84 90.063 * * [simplify]: Extracting #5: cost 173 inf + 382 90.066 * * [simplify]: Extracting #6: cost 126 inf + 10074 90.076 * * [simplify]: Extracting #7: cost 48 inf + 28398 90.091 * * [simplify]: Extracting #8: cost 14 inf + 53830 90.112 * * [simplify]: Extracting #9: cost 0 inf + 67601 90.137 * * [simplify]: Extracting #10: cost 0 inf + 66723 90.159 * * [simplify]: Extracting #11: cost 0 inf + 65235 90.180 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 90.181 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 90.181 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.181 * * [simplify]: iters left: 6 (14 enodes) 90.189 * * [simplify]: iters left: 5 (57 enodes) 90.209 * * [simplify]: iters left: 4 (90 enodes) 90.237 * * [simplify]: iters left: 3 (128 enodes) 90.280 * * [simplify]: iters left: 2 (208 enodes) 90.330 * * [simplify]: iters left: 1 (391 enodes) 90.497 * * [simplify]: Extracting #0: cost 1 inf + 0 90.497 * * [simplify]: Extracting #1: cost 4 inf + 0 90.497 * * [simplify]: Extracting #2: cost 8 inf + 0 90.497 * * [simplify]: Extracting #3: cost 39 inf + 0 90.498 * * [simplify]: Extracting #4: cost 119 inf + 43 90.499 * * [simplify]: Extracting #5: cost 174 inf + 340 90.502 * * [simplify]: Extracting #6: cost 122 inf + 9169 90.509 * * [simplify]: Extracting #7: cost 62 inf + 21307 90.516 * * [simplify]: Extracting #8: cost 14 inf + 55874 90.526 * * [simplify]: Extracting #9: cost 0 inf + 69901 90.535 * * [simplify]: Extracting #10: cost 0 inf + 69057 90.552 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 90.552 * [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))))))) 90.553 * * * * [progress]: [ 95 / 307 ] simplifiying candidate # 90.553 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.553 * * [simplify]: iters left: 6 (14 enodes) 90.561 * * [simplify]: iters left: 5 (57 enodes) 90.578 * * [simplify]: iters left: 4 (91 enodes) 90.594 * * [simplify]: iters left: 3 (129 enodes) 90.637 * * [simplify]: iters left: 2 (209 enodes) 90.719 * * [simplify]: iters left: 1 (390 enodes) 90.885 * * [simplify]: Extracting #0: cost 1 inf + 0 90.886 * * [simplify]: Extracting #1: cost 4 inf + 0 90.886 * * [simplify]: Extracting #2: cost 9 inf + 0 90.886 * * [simplify]: Extracting #3: cost 43 inf + 0 90.886 * * [simplify]: Extracting #4: cost 133 inf + 43 90.887 * * [simplify]: Extracting #5: cost 163 inf + 425 90.888 * * [simplify]: Extracting #6: cost 112 inf + 6631 90.895 * * [simplify]: Extracting #7: cost 64 inf + 15667 90.903 * * [simplify]: Extracting #8: cost 27 inf + 43813 90.923 * * [simplify]: Extracting #9: cost 0 inf + 66144 90.942 * * [simplify]: Extracting #10: cost 0 inf + 65050 90.963 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 90.963 * [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))))))) 90.963 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 90.964 * * [simplify]: iters left: 6 (14 enodes) 90.971 * * [simplify]: iters left: 5 (57 enodes) 90.991 * * [simplify]: iters left: 4 (91 enodes) 91.019 * * [simplify]: iters left: 3 (129 enodes) 91.066 * * [simplify]: iters left: 2 (209 enodes) 91.145 * * [simplify]: iters left: 1 (390 enodes) 91.331 * * [simplify]: Extracting #0: cost 1 inf + 0 91.331 * * [simplify]: Extracting #1: cost 4 inf + 0 91.332 * * [simplify]: Extracting #2: cost 9 inf + 0 91.332 * * [simplify]: Extracting #3: cost 43 inf + 0 91.332 * * [simplify]: Extracting #4: cost 133 inf + 43 91.333 * * [simplify]: Extracting #5: cost 163 inf + 425 91.334 * * [simplify]: Extracting #6: cost 112 inf + 6631 91.338 * * [simplify]: Extracting #7: cost 64 inf + 15667 91.344 * * [simplify]: Extracting #8: cost 27 inf + 43813 91.354 * * [simplify]: Extracting #9: cost 0 inf + 66144 91.364 * * [simplify]: Extracting #10: cost 0 inf + 65050 91.382 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 91.382 * [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))))))) 91.382 * * * * [progress]: [ 96 / 307 ] simplifiying candidate # 91.382 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 91.382 * * [simplify]: iters left: 4 (5 enodes) 91.385 * * [simplify]: iters left: 3 (15 enodes) 91.390 * * [simplify]: iters left: 2 (17 enodes) 91.395 * * [simplify]: iters left: 1 (19 enodes) 91.398 * * [simplify]: Extracting #0: cost 1 inf + 0 91.398 * * [simplify]: Extracting #1: cost 4 inf + 0 91.398 * * [simplify]: Extracting #2: cost 5 inf + 1 91.398 * * [simplify]: Extracting #3: cost 4 inf + 2 91.398 * * [simplify]: Extracting #4: cost 1 inf + 165 91.398 * * [simplify]: Extracting #5: cost 0 inf + 246 91.398 * [simplify]: Simplified to (sqrt (sqrt k)) 91.399 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 91.399 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 91.399 * * [simplify]: iters left: 6 (13 enodes) 91.403 * * [simplify]: iters left: 5 (54 enodes) 91.412 * * [simplify]: iters left: 4 (85 enodes) 91.427 * * [simplify]: iters left: 3 (129 enodes) 91.461 * * [simplify]: iters left: 2 (231 enodes) 91.515 * * [simplify]: iters left: 1 (414 enodes) 91.680 * * [simplify]: Extracting #0: cost 1 inf + 0 91.680 * * [simplify]: Extracting #1: cost 6 inf + 0 91.680 * * [simplify]: Extracting #2: cost 41 inf + 0 91.680 * * [simplify]: Extracting #3: cost 135 inf + 1 91.681 * * [simplify]: Extracting #4: cost 175 inf + 588 91.683 * * [simplify]: Extracting #5: cost 140 inf + 4184 91.687 * * [simplify]: Extracting #6: cost 75 inf + 18889 91.696 * * [simplify]: Extracting #7: cost 8 inf + 68398 91.710 * * [simplify]: Extracting #8: cost 0 inf + 73201 91.735 * * [simplify]: Extracting #9: cost 0 inf + 72608 91.760 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 91.760 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 91.760 * * * * [progress]: [ 97 / 307 ] simplifiying candidate # 91.760 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.761 * * [simplify]: iters left: 6 (14 enodes) 91.769 * * [simplify]: iters left: 5 (60 enodes) 91.795 * * [simplify]: iters left: 4 (98 enodes) 91.819 * * [simplify]: iters left: 3 (157 enodes) 91.855 * * [simplify]: iters left: 2 (285 enodes) 91.958 * * [simplify]: Extracting #0: cost 1 inf + 0 91.958 * * [simplify]: Extracting #1: cost 6 inf + 0 91.958 * * [simplify]: Extracting #2: cost 26 inf + 0 91.959 * * [simplify]: Extracting #3: cost 95 inf + 1 91.959 * * [simplify]: Extracting #4: cost 120 inf + 343 91.962 * * [simplify]: Extracting #5: cost 77 inf + 6024 91.968 * * [simplify]: Extracting #6: cost 13 inf + 27206 91.973 * * [simplify]: Extracting #7: cost 0 inf + 36170 91.979 * * [simplify]: Extracting #8: cost 0 inf + 35675 91.984 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 91.984 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 91.985 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 91.985 * * [simplify]: iters left: 6 (14 enodes) 91.990 * * [simplify]: iters left: 5 (60 enodes) 92.002 * * [simplify]: iters left: 4 (98 enodes) 92.027 * * [simplify]: iters left: 3 (157 enodes) 92.073 * * [simplify]: iters left: 2 (285 enodes) 92.138 * * [simplify]: Extracting #0: cost 1 inf + 0 92.138 * * [simplify]: Extracting #1: cost 6 inf + 0 92.138 * * [simplify]: Extracting #2: cost 26 inf + 0 92.138 * * [simplify]: Extracting #3: cost 95 inf + 1 92.139 * * [simplify]: Extracting #4: cost 120 inf + 343 92.141 * * [simplify]: Extracting #5: cost 77 inf + 6024 92.149 * * [simplify]: Extracting #6: cost 13 inf + 27206 92.159 * * [simplify]: Extracting #7: cost 0 inf + 36170 92.170 * * [simplify]: Extracting #8: cost 0 inf + 35675 92.181 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 92.181 * [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 (- 1 k))))))) 92.181 * * * * [progress]: [ 98 / 307 ] simplifiying candidate # 92.181 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 92.181 * * [simplify]: iters left: 6 (8 enodes) 92.186 * * [simplify]: iters left: 5 (35 enodes) 92.199 * * [simplify]: iters left: 4 (58 enodes) 92.217 * * [simplify]: iters left: 3 (97 enodes) 92.260 * * [simplify]: iters left: 2 (199 enodes) 92.331 * * [simplify]: iters left: 1 (377 enodes) 92.480 * * [simplify]: Extracting #0: cost 1 inf + 0 92.480 * * [simplify]: Extracting #1: cost 6 inf + 0 92.480 * * [simplify]: Extracting #2: cost 37 inf + 1 92.481 * * [simplify]: Extracting #3: cost 130 inf + 3 92.482 * * [simplify]: Extracting #4: cost 178 inf + 9 92.483 * * [simplify]: Extracting #5: cost 166 inf + 1259 92.488 * * [simplify]: Extracting #6: cost 96 inf + 12321 92.497 * * [simplify]: Extracting #7: cost 42 inf + 39697 92.506 * * [simplify]: Extracting #8: cost 2 inf + 68902 92.516 * * [simplify]: Extracting #9: cost 0 inf + 69087 92.528 * * [simplify]: Extracting #10: cost 0 inf + 68916 92.543 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 92.543 * [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)))))) 92.543 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 92.543 * * [simplify]: iters left: 6 (10 enodes) 92.549 * * [simplify]: iters left: 5 (42 enodes) 92.557 * * [simplify]: iters left: 4 (65 enodes) 92.570 * * [simplify]: iters left: 3 (104 enodes) 92.610 * * [simplify]: iters left: 2 (206 enodes) 92.665 * * [simplify]: iters left: 1 (397 enodes) 92.823 * * [simplify]: Extracting #0: cost 1 inf + 0 92.823 * * [simplify]: Extracting #1: cost 6 inf + 0 92.823 * * [simplify]: Extracting #2: cost 45 inf + 0 92.824 * * [simplify]: Extracting #3: cost 140 inf + 43 92.825 * * [simplify]: Extracting #4: cost 189 inf + 1383 92.827 * * [simplify]: Extracting #5: cost 133 inf + 9970 92.845 * * [simplify]: Extracting #6: cost 50 inf + 44951 92.867 * * [simplify]: Extracting #7: cost 0 inf + 80043 92.886 * * [simplify]: Extracting #8: cost 0 inf + 78450 92.898 * * [simplify]: Extracting #9: cost 0 inf + 77648 92.909 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 92.909 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 92.909 * * * * [progress]: [ 99 / 307 ] simplifiying candidate # 92.909 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 92.910 * * [simplify]: iters left: 6 (13 enodes) 92.914 * * [simplify]: iters left: 5 (56 enodes) 92.930 * * [simplify]: iters left: 4 (91 enodes) 92.958 * * [simplify]: iters left: 3 (129 enodes) 93.005 * * [simplify]: iters left: 2 (209 enodes) 93.061 * * [simplify]: iters left: 1 (395 enodes) 93.228 * * [simplify]: Extracting #0: cost 1 inf + 0 93.228 * * [simplify]: Extracting #1: cost 6 inf + 0 93.228 * * [simplify]: Extracting #2: cost 9 inf + 1 93.228 * * [simplify]: Extracting #3: cost 37 inf + 1 93.229 * * [simplify]: Extracting #4: cost 123 inf + 2 93.229 * * [simplify]: Extracting #5: cost 171 inf + 301 93.230 * * [simplify]: Extracting #6: cost 165 inf + 1059 93.233 * * [simplify]: Extracting #7: cost 94 inf + 11341 93.238 * * [simplify]: Extracting #8: cost 43 inf + 36262 93.248 * * [simplify]: Extracting #9: cost 5 inf + 68184 93.263 * * [simplify]: Extracting #10: cost 0 inf + 70125 93.274 * * [simplify]: Extracting #11: cost 0 inf + 69630 93.290 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 93.290 * [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))))))) 93.291 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.291 * * [simplify]: iters left: 6 (13 enodes) 93.299 * * [simplify]: iters left: 5 (54 enodes) 93.313 * * [simplify]: iters left: 4 (87 enodes) 93.329 * * [simplify]: iters left: 3 (129 enodes) 93.353 * * [simplify]: iters left: 2 (210 enodes) 93.435 * * [simplify]: iters left: 1 (393 enodes) 93.604 * * [simplify]: Extracting #0: cost 1 inf + 0 93.604 * * [simplify]: Extracting #1: cost 4 inf + 0 93.604 * * [simplify]: Extracting #2: cost 8 inf + 0 93.604 * * [simplify]: Extracting #3: cost 33 inf + 1 93.605 * * [simplify]: Extracting #4: cost 113 inf + 43 93.606 * * [simplify]: Extracting #5: cost 161 inf + 301 93.609 * * [simplify]: Extracting #6: cost 117 inf + 6133 93.616 * * [simplify]: Extracting #7: cost 63 inf + 19273 93.629 * * [simplify]: Extracting #8: cost 10 inf + 55308 93.639 * * [simplify]: Extracting #9: cost 0 inf + 63720 93.650 * * [simplify]: Extracting #10: cost 0 inf + 63296 93.662 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.662 * [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))))))) 93.662 * * * * [progress]: [ 100 / 307 ] simplifiying candidate # 93.662 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 93.663 * * [simplify]: iters left: 6 (12 enodes) 93.670 * * [simplify]: iters left: 5 (51 enodes) 93.685 * * [simplify]: iters left: 4 (85 enodes) 93.700 * * [simplify]: iters left: 3 (128 enodes) 93.738 * * [simplify]: iters left: 2 (213 enodes) 93.805 * * [simplify]: iters left: 1 (401 enodes) 93.975 * * [simplify]: Extracting #0: cost 1 inf + 0 93.975 * * [simplify]: Extracting #1: cost 4 inf + 0 93.975 * * [simplify]: Extracting #2: cost 6 inf + 1 93.975 * * [simplify]: Extracting #3: cost 37 inf + 1 93.975 * * [simplify]: Extracting #4: cost 134 inf + 2 93.979 * * [simplify]: Extracting #5: cost 177 inf + 219 93.981 * * [simplify]: Extracting #6: cost 156 inf + 2666 93.983 * * [simplify]: Extracting #7: cost 90 inf + 11869 93.990 * * [simplify]: Extracting #8: cost 21 inf + 51159 94.001 * * [simplify]: Extracting #9: cost 0 inf + 68719 94.017 * * [simplify]: Extracting #10: cost 0 inf + 68033 94.037 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 94.037 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 94.037 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 94.037 * * [simplify]: iters left: 6 (13 enodes) 94.041 * * [simplify]: iters left: 5 (54 enodes) 94.052 * * [simplify]: iters left: 4 (88 enodes) 94.067 * * [simplify]: iters left: 3 (126 enodes) 94.100 * * [simplify]: iters left: 2 (206 enodes) 94.181 * * [simplify]: iters left: 1 (396 enodes) 94.365 * * [simplify]: Extracting #0: cost 1 inf + 0 94.365 * * [simplify]: Extracting #1: cost 4 inf + 0 94.365 * * [simplify]: Extracting #2: cost 9 inf + 0 94.365 * * [simplify]: Extracting #3: cost 39 inf + 1 94.366 * * [simplify]: Extracting #4: cost 129 inf + 43 94.367 * * [simplify]: Extracting #5: cost 157 inf + 592 94.372 * * [simplify]: Extracting #6: cost 102 inf + 8543 94.385 * * [simplify]: Extracting #7: cost 26 inf + 45328 94.405 * * [simplify]: Extracting #8: cost 0 inf + 67027 94.427 * * [simplify]: Extracting #9: cost 0 inf + 65553 94.452 * * [simplify]: Extracting #10: cost 0 inf + 65343 94.473 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 94.473 * [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))))))) 94.474 * * * * [progress]: [ 101 / 307 ] simplifiying candidate # 94.474 * [simplify]: Simplifying (/ 1 1) 94.474 * * [simplify]: iters left: 2 (2 enodes) 94.476 * * [simplify]: iters left: 1 (6 enodes) 94.479 * * [simplify]: Extracting #0: cost 1 inf + 0 94.479 * * [simplify]: Extracting #1: cost 0 inf + 1 94.479 * [simplify]: Simplified to 1 94.479 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.479 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 94.479 * * [simplify]: iters left: 6 (12 enodes) 94.486 * * [simplify]: iters left: 5 (51 enodes) 94.505 * * [simplify]: iters left: 4 (86 enodes) 94.529 * * [simplify]: iters left: 3 (133 enodes) 94.556 * * [simplify]: iters left: 2 (224 enodes) 94.616 * * [simplify]: iters left: 1 (420 enodes) 94.790 * * [simplify]: Extracting #0: cost 1 inf + 0 94.790 * * [simplify]: Extracting #1: cost 6 inf + 0 94.790 * * [simplify]: Extracting #2: cost 43 inf + 0 94.790 * * [simplify]: Extracting #3: cost 141 inf + 84 94.791 * * [simplify]: Extracting #4: cost 184 inf + 426 94.793 * * [simplify]: Extracting #5: cost 133 inf + 6364 94.797 * * [simplify]: Extracting #6: cost 64 inf + 29813 94.807 * * [simplify]: Extracting #7: cost 12 inf + 68347 94.831 * * [simplify]: Extracting #8: cost 0 inf + 77856 94.850 * * [simplify]: Extracting #9: cost 0 inf + 77383 94.863 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 94.864 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 94.864 * * * * [progress]: [ 102 / 307 ] simplifiying candidate # 94.864 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 94.864 * * [simplify]: iters left: 6 (12 enodes) 94.868 * * [simplify]: iters left: 5 (54 enodes) 94.885 * * [simplify]: iters left: 4 (92 enodes) 94.916 * * [simplify]: iters left: 3 (154 enodes) 94.977 * * [simplify]: iters left: 2 (285 enodes) 95.074 * * [simplify]: Extracting #0: cost 1 inf + 0 95.074 * * [simplify]: Extracting #1: cost 6 inf + 0 95.074 * * [simplify]: Extracting #2: cost 24 inf + 1 95.074 * * [simplify]: Extracting #3: cost 91 inf + 2 95.074 * * [simplify]: Extracting #4: cost 122 inf + 220 95.075 * * [simplify]: Extracting #5: cost 119 inf + 765 95.077 * * [simplify]: Extracting #6: cost 59 inf + 9460 95.080 * * [simplify]: Extracting #7: cost 14 inf + 25134 95.088 * * [simplify]: Extracting #8: cost 0 inf + 32744 95.093 * * [simplify]: Extracting #9: cost 0 inf + 32414 95.098 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 95.098 * [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)))))) 95.098 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 95.098 * * [simplify]: iters left: 6 (13 enodes) 95.106 * * [simplify]: iters left: 5 (57 enodes) 95.126 * * [simplify]: iters left: 4 (95 enodes) 95.158 * * [simplify]: iters left: 3 (150 enodes) 95.209 * * [simplify]: iters left: 2 (262 enodes) 95.304 * * [simplify]: iters left: 1 (476 enodes) 95.504 * * [simplify]: Extracting #0: cost 1 inf + 0 95.504 * * [simplify]: Extracting #1: cost 6 inf + 0 95.505 * * [simplify]: Extracting #2: cost 41 inf + 0 95.505 * * [simplify]: Extracting #3: cost 143 inf + 84 95.507 * * [simplify]: Extracting #4: cost 204 inf + 429 95.512 * * [simplify]: Extracting #5: cost 133 inf + 12366 95.532 * * [simplify]: Extracting #6: cost 21 inf + 62820 95.560 * * [simplify]: Extracting #7: cost 0 inf + 72656 95.576 * * [simplify]: Extracting #8: cost 0 inf + 72242 95.598 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 95.598 * [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 k) 4)))))) 95.598 * * * * [progress]: [ 103 / 307 ] simplifiying candidate # 95.598 * * * * [progress]: [ 104 / 307 ] simplifiying candidate # 95.598 * * * * [progress]: [ 105 / 307 ] simplifiying candidate # 95.598 * * * * [progress]: [ 106 / 307 ] simplifiying candidate # 95.599 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 95.599 * * [simplify]: iters left: 5 (8 enodes) 95.604 * * [simplify]: iters left: 4 (36 enodes) 95.617 * * [simplify]: iters left: 3 (57 enodes) 95.635 * * [simplify]: iters left: 2 (92 enodes) 95.670 * * [simplify]: iters left: 1 (188 enodes) 95.719 * * [simplify]: Extracting #0: cost 1 inf + 0 95.719 * * [simplify]: Extracting #1: cost 13 inf + 0 95.719 * * [simplify]: Extracting #2: cost 57 inf + 1 95.720 * * [simplify]: Extracting #3: cost 92 inf + 6 95.720 * * [simplify]: Extracting #4: cost 85 inf + 1386 95.722 * * [simplify]: Extracting #5: cost 34 inf + 8770 95.725 * * [simplify]: Extracting #6: cost 1 inf + 23636 95.728 * * [simplify]: Extracting #7: cost 0 inf + 24512 95.731 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 95.732 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 95.732 * * * * [progress]: [ 107 / 307 ] simplifiying candidate # 95.732 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 95.732 * * [simplify]: iters left: 6 (11 enodes) 95.736 * * [simplify]: iters left: 5 (48 enodes) 95.745 * * [simplify]: iters left: 4 (77 enodes) 95.761 * * [simplify]: iters left: 3 (120 enodes) 95.810 * * [simplify]: iters left: 2 (218 enodes) 95.875 * * [simplify]: iters left: 1 (392 enodes) 96.056 * * [simplify]: Extracting #0: cost 1 inf + 0 96.056 * * [simplify]: Extracting #1: cost 3 inf + 0 96.056 * * [simplify]: Extracting #2: cost 33 inf + 0 96.057 * * [simplify]: Extracting #3: cost 116 inf + 1 96.058 * * [simplify]: Extracting #4: cost 186 inf + 176 96.059 * * [simplify]: Extracting #5: cost 178 inf + 974 96.061 * * [simplify]: Extracting #6: cost 110 inf + 10321 96.068 * * [simplify]: Extracting #7: cost 37 inf + 43607 96.090 * * [simplify]: Extracting #8: cost 0 inf + 72098 96.120 * * [simplify]: Extracting #9: cost 0 inf + 70260 96.136 * * [simplify]: Extracting #10: cost 0 inf + 69886 96.151 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 96.151 * [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))))))) 96.151 * * * * [progress]: [ 108 / 307 ] simplifiying candidate # 96.152 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 96.152 * * [simplify]: iters left: 6 (11 enodes) 96.155 * * [simplify]: iters left: 5 (48 enodes) 96.164 * * [simplify]: iters left: 4 (78 enodes) 96.184 * * [simplify]: iters left: 3 (122 enodes) 96.212 * * [simplify]: iters left: 2 (223 enodes) 96.286 * * [simplify]: iters left: 1 (408 enodes) 96.468 * * [simplify]: Extracting #0: cost 1 inf + 0 96.469 * * [simplify]: Extracting #1: cost 4 inf + 0 96.469 * * [simplify]: Extracting #2: cost 37 inf + 0 96.469 * * [simplify]: Extracting #3: cost 135 inf + 1 96.470 * * [simplify]: Extracting #4: cost 179 inf + 220 96.471 * * [simplify]: Extracting #5: cost 164 inf + 2131 96.477 * * [simplify]: Extracting #6: cost 85 inf + 15047 96.493 * * [simplify]: Extracting #7: cost 22 inf + 54880 96.517 * * [simplify]: Extracting #8: cost 0 inf + 75621 96.540 * * [simplify]: Extracting #9: cost 0 inf + 75008 96.569 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 96.569 * [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))))))) 96.569 * * * * [progress]: [ 109 / 307 ] simplifiying candidate # 96.569 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 96.570 * * [simplify]: iters left: 5 (10 enodes) 96.576 * * [simplify]: iters left: 4 (45 enodes) 96.592 * * [simplify]: iters left: 3 (78 enodes) 96.618 * * [simplify]: iters left: 2 (120 enodes) 96.654 * * [simplify]: iters left: 1 (205 enodes) 96.713 * * [simplify]: Extracting #0: cost 1 inf + 0 96.713 * * [simplify]: Extracting #1: cost 13 inf + 0 96.713 * * [simplify]: Extracting #2: cost 64 inf + 1 96.714 * * [simplify]: Extracting #3: cost 99 inf + 49 96.714 * * [simplify]: Extracting #4: cost 97 inf + 806 96.716 * * [simplify]: Extracting #5: cost 58 inf + 4778 96.721 * * [simplify]: Extracting #6: cost 15 inf + 17624 96.729 * * [simplify]: Extracting #7: cost 1 inf + 26643 96.737 * * [simplify]: Extracting #8: cost 0 inf + 26968 96.746 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 96.746 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 96.746 * * * * [progress]: [ 110 / 307 ] simplifiying candidate # 96.746 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 96.746 * * [simplify]: iters left: 6 (11 enodes) 96.753 * * [simplify]: iters left: 5 (51 enodes) 96.768 * * [simplify]: iters left: 4 (87 enodes) 96.785 * * [simplify]: iters left: 3 (146 enodes) 96.830 * * [simplify]: iters left: 2 (263 enodes) 96.904 * * [simplify]: iters left: 1 (485 enodes) 97.123 * * [simplify]: Extracting #0: cost 1 inf + 0 97.123 * * [simplify]: Extracting #1: cost 27 inf + 0 97.124 * * [simplify]: Extracting #2: cost 109 inf + 1 97.124 * * [simplify]: Extracting #3: cost 198 inf + 178 97.126 * * [simplify]: Extracting #4: cost 189 inf + 1807 97.129 * * [simplify]: Extracting #5: cost 91 inf + 13674 97.137 * * [simplify]: Extracting #6: cost 24 inf + 43528 97.147 * * [simplify]: Extracting #7: cost 0 inf + 64461 97.158 * * [simplify]: Extracting #8: cost 0 inf + 64381 97.178 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 97.178 * [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)))))) 97.179 * * * * [progress]: [ 111 / 307 ] simplifiying candidate # 97.179 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 97.179 * * [simplify]: iters left: 4 (4 enodes) 97.181 * * [simplify]: iters left: 3 (12 enodes) 97.184 * * [simplify]: Extracting #0: cost 1 inf + 0 97.184 * * [simplify]: Extracting #1: cost 3 inf + 0 97.184 * * [simplify]: Extracting #2: cost 5 inf + 0 97.184 * * [simplify]: Extracting #3: cost 7 inf + 0 97.185 * * [simplify]: Extracting #4: cost 6 inf + 1 97.185 * * [simplify]: Extracting #5: cost 0 inf + 647 97.185 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 97.185 * [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)))))) 97.185 * * * * [progress]: [ 112 / 307 ] simplifiying candidate # 97.186 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 97.186 * * [simplify]: iters left: 4 (4 enodes) 97.188 * * [simplify]: iters left: 3 (13 enodes) 97.191 * * [simplify]: Extracting #0: cost 1 inf + 0 97.191 * * [simplify]: Extracting #1: cost 4 inf + 0 97.191 * * [simplify]: Extracting #2: cost 7 inf + 0 97.192 * * [simplify]: Extracting #3: cost 6 inf + 1 97.192 * * [simplify]: Extracting #4: cost 0 inf + 647 97.192 * [simplify]: Simplified to (fabs (cbrt k)) 97.192 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (fabs (cbrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 97.192 * * * * [progress]: [ 113 / 307 ] simplifiying candidate # 97.192 * [simplify]: Simplifying (sqrt (sqrt k)) 97.192 * * [simplify]: iters left: 2 (3 enodes) 97.194 * * [simplify]: iters left: 1 (9 enodes) 97.196 * * [simplify]: Extracting #0: cost 1 inf + 0 97.196 * * [simplify]: Extracting #1: cost 3 inf + 0 97.196 * * [simplify]: Extracting #2: cost 5 inf + 0 97.196 * * [simplify]: Extracting #3: cost 4 inf + 1 97.196 * * [simplify]: Extracting #4: cost 0 inf + 245 97.196 * [simplify]: Simplified to (sqrt (sqrt k)) 97.196 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 97.197 * * * * [progress]: [ 114 / 307 ] simplifiying candidate # 97.197 * [simplify]: Simplifying (sqrt 1) 97.197 * * [simplify]: iters left: 1 (2 enodes) 97.200 * * [simplify]: Extracting #0: cost 1 inf + 0 97.200 * * [simplify]: Extracting #1: cost 0 inf + 1 97.200 * [simplify]: Simplified to 1 97.200 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 97.200 * * * * [progress]: [ 115 / 307 ] simplifiying candidate # 97.201 * [simplify]: Simplifying (sqrt (sqrt k)) 97.201 * * [simplify]: iters left: 2 (3 enodes) 97.202 * * [simplify]: iters left: 1 (9 enodes) 97.204 * * [simplify]: Extracting #0: cost 1 inf + 0 97.204 * * [simplify]: Extracting #1: cost 3 inf + 0 97.204 * * [simplify]: Extracting #2: cost 5 inf + 0 97.204 * * [simplify]: Extracting #3: cost 4 inf + 1 97.205 * * [simplify]: Extracting #4: cost 0 inf + 245 97.205 * [simplify]: Simplified to (sqrt (sqrt k)) 97.205 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 97.205 * * * * [progress]: [ 116 / 307 ] simplifiying candidate # 97.205 * * * * [progress]: [ 117 / 307 ] simplifiying candidate # 97.205 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 97.205 * * [simplify]: iters left: 5 (8 enodes) 97.209 * * [simplify]: iters left: 4 (31 enodes) 97.220 * * [simplify]: iters left: 3 (51 enodes) 97.234 * * [simplify]: iters left: 2 (85 enodes) 97.250 * * [simplify]: iters left: 1 (152 enodes) 97.287 * * [simplify]: Extracting #0: cost 1 inf + 0 97.287 * * [simplify]: Extracting #1: cost 13 inf + 0 97.287 * * [simplify]: Extracting #2: cost 59 inf + 1 97.288 * * [simplify]: Extracting #3: cost 76 inf + 9 97.288 * * [simplify]: Extracting #4: cost 41 inf + 3303 97.290 * * [simplify]: Extracting #5: cost 16 inf + 10676 97.292 * * [simplify]: Extracting #6: cost 0 inf + 21028 97.295 * * [simplify]: Extracting #7: cost 0 inf + 20456 97.300 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 97.300 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))) 97.300 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 97.301 * * * * [progress]: [ 119 / 307 ] simplifiying candidate # 97.301 * * * * [progress]: [ 120 / 307 ] simplifiying candidate # 97.301 * [simplify]: Simplifying (- 1) 97.301 * * [simplify]: iters left: 2 (2 enodes) 97.303 * * [simplify]: iters left: 1 (9 enodes) 97.307 * * [simplify]: Extracting #0: cost 1 inf + 0 97.307 * * [simplify]: Extracting #1: cost 0 inf + 1 97.307 * [simplify]: Simplified to -1 97.307 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 97.307 * * * * [progress]: [ 121 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 122 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 123 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 124 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 125 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 126 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 127 / 307 ] simplifiying candidate # 97.307 * * * * [progress]: [ 128 / 307 ] simplifiying candidate # 97.308 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 97.308 * * [simplify]: iters left: 6 (18 enodes) 97.318 * * [simplify]: iters left: 5 (74 enodes) 97.336 * * [simplify]: iters left: 4 (139 enodes) 97.383 * * [simplify]: iters left: 3 (422 enodes) 97.576 * * [simplify]: Extracting #0: cost 1 inf + 0 97.576 * * [simplify]: Extracting #1: cost 49 inf + 0 97.576 * * [simplify]: Extracting #2: cost 230 inf + 1 97.577 * * [simplify]: Extracting #3: cost 344 inf + 74 97.579 * * [simplify]: Extracting #4: cost 340 inf + 4491 97.586 * * [simplify]: Extracting #5: cost 164 inf + 49840 97.619 * * [simplify]: Extracting #6: cost 10 inf + 101428 97.658 * * [simplify]: Extracting #7: cost 0 inf + 105191 97.685 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 97.685 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 97.685 * * * * [progress]: [ 129 / 307 ] simplifiying candidate # 97.686 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 97.686 * * [simplify]: iters left: 6 (17 enodes) 97.693 * * [simplify]: iters left: 5 (72 enodes) 97.718 * * [simplify]: iters left: 4 (132 enodes) 97.771 * * [simplify]: iters left: 3 (351 enodes) 97.964 * * [simplify]: Extracting #0: cost 1 inf + 0 97.964 * * [simplify]: Extracting #1: cost 42 inf + 0 97.965 * * [simplify]: Extracting #2: cost 200 inf + 1 97.967 * * [simplify]: Extracting #3: cost 306 inf + 74 97.970 * * [simplify]: Extracting #4: cost 313 inf + 2761 97.980 * * [simplify]: Extracting #5: cost 177 inf + 32556 98.007 * * [simplify]: Extracting #6: cost 25 inf + 77714 98.023 * * [simplify]: Extracting #7: cost 0 inf + 85746 98.047 * * [simplify]: Extracting #8: cost 0 inf + 85666 98.071 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))) 98.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 98.071 * * * * [progress]: [ 130 / 307 ] simplifiying candidate # 98.071 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 98.071 * * [simplify]: iters left: 6 (16 enodes) 98.076 * * [simplify]: iters left: 5 (71 enodes) 98.090 * * [simplify]: iters left: 4 (139 enodes) 98.125 * * [simplify]: iters left: 3 (324 enodes) 98.244 * * [simplify]: Extracting #0: cost 1 inf + 0 98.244 * * [simplify]: Extracting #1: cost 29 inf + 0 98.245 * * [simplify]: Extracting #2: cost 156 inf + 1 98.247 * * [simplify]: Extracting #3: cost 258 inf + 3 98.250 * * [simplify]: Extracting #4: cost 247 inf + 6078 98.265 * * [simplify]: Extracting #5: cost 67 inf + 45300 98.292 * * [simplify]: Extracting #6: cost 1 inf + 62768 98.305 * * [simplify]: Extracting #7: cost 0 inf + 62821 98.317 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 98.317 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 98.318 * * * * [progress]: [ 131 / 307 ] simplifiying candidate # 98.318 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 98.318 * * [simplify]: iters left: 6 (16 enodes) 98.326 * * [simplify]: iters left: 5 (71 enodes) 98.344 * * [simplify]: iters left: 4 (139 enodes) 98.376 * * [simplify]: iters left: 3 (324 enodes) 98.491 * * [simplify]: Extracting #0: cost 1 inf + 0 98.491 * * [simplify]: Extracting #1: cost 29 inf + 0 98.492 * * [simplify]: Extracting #2: cost 156 inf + 1 98.493 * * [simplify]: Extracting #3: cost 258 inf + 3 98.494 * * [simplify]: Extracting #4: cost 247 inf + 6078 98.502 * * [simplify]: Extracting #5: cost 67 inf + 45300 98.514 * * [simplify]: Extracting #6: cost 1 inf + 62768 98.529 * * [simplify]: Extracting #7: cost 0 inf + 62821 98.541 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 98.541 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 98.542 * * * * [progress]: [ 132 / 307 ] simplifiying candidate # 98.542 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.542 * * [simplify]: iters left: 6 (16 enodes) 98.547 * * [simplify]: iters left: 5 (70 enodes) 98.561 * * [simplify]: iters left: 4 (131 enodes) 98.586 * * [simplify]: iters left: 3 (295 enodes) 98.750 * * [simplify]: Extracting #0: cost 1 inf + 0 98.750 * * [simplify]: Extracting #1: cost 37 inf + 0 98.751 * * [simplify]: Extracting #2: cost 204 inf + 1 98.753 * * [simplify]: Extracting #3: cost 316 inf + 3 98.756 * * [simplify]: Extracting #4: cost 285 inf + 8131 98.765 * * [simplify]: Extracting #5: cost 79 inf + 57135 98.778 * * [simplify]: Extracting #6: cost 2 inf + 77001 98.796 * * [simplify]: Extracting #7: cost 0 inf + 77763 98.813 * * [simplify]: Extracting #8: cost 0 inf + 77682 98.840 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 98.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 98.841 * * * * [progress]: [ 133 / 307 ] simplifiying candidate # 98.841 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 98.841 * * [simplify]: iters left: 6 (15 enodes) 98.850 * * [simplify]: iters left: 5 (64 enodes) 98.871 * * [simplify]: iters left: 4 (109 enodes) 98.905 * * [simplify]: iters left: 3 (205 enodes) 98.958 * * [simplify]: Extracting #0: cost 1 inf + 0 98.959 * * [simplify]: Extracting #1: cost 13 inf + 0 98.959 * * [simplify]: Extracting #2: cost 110 inf + 1 98.959 * * [simplify]: Extracting #3: cost 184 inf + 3 98.960 * * [simplify]: Extracting #4: cost 200 inf + 883 98.962 * * [simplify]: Extracting #5: cost 128 inf + 14009 98.968 * * [simplify]: Extracting #6: cost 29 inf + 40744 98.981 * * [simplify]: Extracting #7: cost 1 inf + 51283 98.997 * * [simplify]: Extracting #8: cost 0 inf + 51289 99.009 * * [simplify]: Extracting #9: cost 0 inf + 50988 99.017 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 99.017 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))))) 99.017 * * * * [progress]: [ 134 / 307 ] simplifiying candidate # 99.017 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 99.018 * * [simplify]: iters left: 6 (18 enodes) 99.024 * * [simplify]: iters left: 5 (75 enodes) 99.051 * * [simplify]: iters left: 4 (135 enodes) 99.089 * * [simplify]: iters left: 3 (419 enodes) 99.276 * * [simplify]: Extracting #0: cost 1 inf + 0 99.276 * * [simplify]: Extracting #1: cost 49 inf + 0 99.277 * * [simplify]: Extracting #2: cost 220 inf + 1 99.279 * * [simplify]: Extracting #3: cost 331 inf + 74 99.283 * * [simplify]: Extracting #4: cost 337 inf + 2980 99.295 * * [simplify]: Extracting #5: cost 166 inf + 47790 99.330 * * [simplify]: Extracting #6: cost 15 inf + 96370 99.349 * * [simplify]: Extracting #7: cost 0 inf + 102305 99.375 * [simplify]: Simplified to (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))) 99.375 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))))) 99.375 * * * * [progress]: [ 135 / 307 ] simplifiying candidate # 99.375 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 99.375 * * [simplify]: iters left: 6 (17 enodes) 99.386 * * [simplify]: iters left: 5 (73 enodes) 99.410 * * [simplify]: iters left: 4 (128 enodes) 99.458 * * [simplify]: iters left: 3 (346 enodes) 99.613 * * [simplify]: Extracting #0: cost 1 inf + 0 99.613 * * [simplify]: Extracting #1: cost 39 inf + 0 99.614 * * [simplify]: Extracting #2: cost 188 inf + 1 99.615 * * [simplify]: Extracting #3: cost 293 inf + 74 99.617 * * [simplify]: Extracting #4: cost 271 inf + 9565 99.630 * * [simplify]: Extracting #5: cost 61 inf + 63015 99.644 * * [simplify]: Extracting #6: cost 0 inf + 81665 99.664 * * [simplify]: Extracting #7: cost 0 inf + 81505 99.693 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 99.693 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 99.693 * * * * [progress]: [ 136 / 307 ] simplifiying candidate # 99.694 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 99.694 * * [simplify]: iters left: 6 (16 enodes) 99.703 * * [simplify]: iters left: 5 (72 enodes) 99.729 * * [simplify]: iters left: 4 (135 enodes) 99.764 * * [simplify]: iters left: 3 (319 enodes) 99.872 * * [simplify]: Extracting #0: cost 1 inf + 0 99.873 * * [simplify]: Extracting #1: cost 29 inf + 0 99.873 * * [simplify]: Extracting #2: cost 154 inf + 1 99.874 * * [simplify]: Extracting #3: cost 255 inf + 74 99.876 * * [simplify]: Extracting #4: cost 257 inf + 3748 99.887 * * [simplify]: Extracting #5: cost 105 inf + 35598 99.907 * * [simplify]: Extracting #6: cost 6 inf + 60598 99.920 * * [simplify]: Extracting #7: cost 0 inf + 62653 99.940 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 99.940 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 99.940 * * * * [progress]: [ 137 / 307 ] simplifiying candidate # 99.940 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 99.940 * * [simplify]: iters left: 6 (16 enodes) 99.946 * * [simplify]: iters left: 5 (72 enodes) 99.959 * * [simplify]: iters left: 4 (135 enodes) 100.000 * * [simplify]: iters left: 3 (319 enodes) 100.125 * * [simplify]: Extracting #0: cost 1 inf + 0 100.125 * * [simplify]: Extracting #1: cost 29 inf + 0 100.126 * * [simplify]: Extracting #2: cost 154 inf + 1 100.126 * * [simplify]: Extracting #3: cost 255 inf + 74 100.129 * * [simplify]: Extracting #4: cost 257 inf + 3748 100.139 * * [simplify]: Extracting #5: cost 105 inf + 35598 100.161 * * [simplify]: Extracting #6: cost 6 inf + 60598 100.185 * * [simplify]: Extracting #7: cost 0 inf + 62653 100.208 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 100.208 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 100.208 * * * * [progress]: [ 138 / 307 ] simplifiying candidate # 100.208 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.208 * * [simplify]: iters left: 6 (16 enodes) 100.218 * * [simplify]: iters left: 5 (71 enodes) 100.230 * * [simplify]: iters left: 4 (127 enodes) 100.268 * * [simplify]: iters left: 3 (291 enodes) 100.374 * * [simplify]: Extracting #0: cost 1 inf + 0 100.374 * * [simplify]: Extracting #1: cost 34 inf + 0 100.375 * * [simplify]: Extracting #2: cost 199 inf + 1 100.376 * * [simplify]: Extracting #3: cost 311 inf + 3 100.380 * * [simplify]: Extracting #4: cost 280 inf + 8664 100.402 * * [simplify]: Extracting #5: cost 80 inf + 59183 100.427 * * [simplify]: Extracting #6: cost 1 inf + 76852 100.440 * * [simplify]: Extracting #7: cost 0 inf + 76426 100.453 * * [simplify]: Extracting #8: cost 0 inf + 76305 100.473 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 100.473 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 100.473 * * * * [progress]: [ 139 / 307 ] simplifiying candidate # 100.474 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 100.474 * * [simplify]: iters left: 6 (15 enodes) 100.483 * * [simplify]: iters left: 5 (65 enodes) 100.496 * * [simplify]: iters left: 4 (104 enodes) 100.517 * * [simplify]: iters left: 3 (195 enodes) 100.572 * * [simplify]: Extracting #0: cost 1 inf + 0 100.572 * * [simplify]: Extracting #1: cost 11 inf + 0 100.572 * * [simplify]: Extracting #2: cost 104 inf + 1 100.573 * * [simplify]: Extracting #3: cost 173 inf + 3 100.573 * * [simplify]: Extracting #4: cost 203 inf + 205 100.575 * * [simplify]: Extracting #5: cost 142 inf + 11800 100.580 * * [simplify]: Extracting #6: cost 36 inf + 38738 100.588 * * [simplify]: Extracting #7: cost 0 inf + 49721 100.600 * * [simplify]: Extracting #8: cost 0 inf + 49021 100.615 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 100.615 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 100.615 * * * * [progress]: [ 140 / 307 ] simplifiying candidate # 100.615 * * * * [progress]: [ 141 / 307 ] simplifiying candidate # 100.615 * * * * [progress]: [ 142 / 307 ] simplifiying candidate # 100.616 * [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))))) 100.616 * * [simplify]: iters left: 6 (19 enodes) 100.627 * * [simplify]: iters left: 5 (79 enodes) 100.656 * * [simplify]: iters left: 4 (195 enodes) 100.737 * * [simplify]: Extracting #0: cost 1 inf + 0 100.738 * * [simplify]: Extracting #1: cost 50 inf + 0 100.738 * * [simplify]: Extracting #2: cost 125 inf + 124 100.740 * * [simplify]: Extracting #3: cost 161 inf + 535 100.741 * * [simplify]: Extracting #4: cost 160 inf + 955 100.745 * * [simplify]: Extracting #5: cost 120 inf + 11204 100.761 * * [simplify]: Extracting #6: cost 22 inf + 64570 100.774 * * [simplify]: Extracting #7: cost 0 inf + 79760 100.785 * [simplify]: Simplified to (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))) 100.785 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* k (sqrt k))))) 100.786 * * * * [progress]: [ 143 / 307 ] simplifiying candidate # 100.786 * [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))))) 100.786 * * [simplify]: iters left: 6 (17 enodes) 100.792 * * [simplify]: iters left: 5 (74 enodes) 100.819 * * [simplify]: iters left: 4 (166 enodes) 100.872 * * [simplify]: iters left: 3 (450 enodes) 101.365 * * [simplify]: Extracting #0: cost 1 inf + 0 101.365 * * [simplify]: Extracting #1: cost 82 inf + 0 101.368 * * [simplify]: Extracting #2: cost 363 inf + 1 101.378 * * [simplify]: Extracting #3: cost 437 inf + 249 101.385 * * [simplify]: Extracting #4: cost 342 inf + 47304 101.427 * * [simplify]: Extracting #5: cost 62 inf + 243731 101.522 * * [simplify]: Extracting #6: cost 0 inf + 289076 101.573 * * [simplify]: Extracting #7: cost 0 inf + 283842 101.645 * * [simplify]: Extracting #8: cost 0 inf + 281199 101.723 * * [simplify]: Extracting #9: cost 0 inf + 280979 101.817 * [simplify]: Simplified to (/ 1 (* (* (/ (sqrt k) (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))))) 101.817 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ 1 (* (* (/ (sqrt k) (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))))))) 101.818 * * * * [progress]: [ 144 / 307 ] simplifiying candidate # 101.818 * * * * [progress]: [ 145 / 307 ] simplifiying candidate # 101.818 * * * * [progress]: [ 146 / 307 ] simplifiying candidate # 101.818 * * * * [progress]: [ 147 / 307 ] simplifiying candidate # 101.818 * * * * [progress]: [ 148 / 307 ] simplifiying candidate # 101.818 * [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)))))) 101.819 * * [simplify]: iters left: 6 (17 enodes) 101.829 * * [simplify]: iters left: 5 (72 enodes) 101.846 * * [simplify]: iters left: 4 (117 enodes) 101.880 * * [simplify]: iters left: 3 (192 enodes) 101.943 * * [simplify]: iters left: 2 (299 enodes) 102.016 * * [simplify]: iters left: 1 (480 enodes) 102.215 * * [simplify]: Extracting #0: cost 1 inf + 0 102.215 * * [simplify]: Extracting #1: cost 6 inf + 0 102.215 * * [simplify]: Extracting #2: cost 9 inf + 1 102.216 * * [simplify]: Extracting #3: cost 14 inf + 1 102.216 * * [simplify]: Extracting #4: cost 49 inf + 1 102.217 * * [simplify]: Extracting #5: cost 140 inf + 85 102.218 * * [simplify]: Extracting #6: cost 201 inf + 677 102.224 * * [simplify]: Extracting #7: cost 120 inf + 14734 102.241 * * [simplify]: Extracting #8: cost 25 inf + 64381 102.267 * * [simplify]: Extracting #9: cost 1 inf + 80950 102.298 * * [simplify]: Extracting #10: cost 0 inf + 79645 102.313 * * [simplify]: Extracting #11: cost 0 inf + 79527 102.326 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 102.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 102.327 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.327 * * [simplify]: iters left: 6 (15 enodes) 102.332 * * [simplify]: iters left: 5 (60 enodes) 102.342 * * [simplify]: iters left: 4 (91 enodes) 102.370 * * [simplify]: iters left: 3 (135 enodes) 102.421 * * [simplify]: iters left: 2 (237 enodes) 102.504 * * [simplify]: iters left: 1 (420 enodes) 102.710 * * [simplify]: Extracting #0: cost 1 inf + 0 102.710 * * [simplify]: Extracting #1: cost 4 inf + 0 102.710 * * [simplify]: Extracting #2: cost 5 inf + 1 102.710 * * [simplify]: Extracting #3: cost 10 inf + 1 102.710 * * [simplify]: Extracting #4: cost 43 inf + 1 102.711 * * [simplify]: Extracting #5: cost 130 inf + 85 102.713 * * [simplify]: Extracting #6: cost 179 inf + 1456 102.719 * * [simplify]: Extracting #7: cost 113 inf + 15570 102.733 * * [simplify]: Extracting #8: cost 34 inf + 53966 102.756 * * [simplify]: Extracting #9: cost 0 inf + 79090 102.780 * * [simplify]: Extracting #10: cost 0 inf + 77601 102.807 * * [simplify]: Extracting #11: cost 0 inf + 77520 102.821 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 102.821 * [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))))))) 102.821 * * * * [progress]: [ 149 / 307 ] simplifiying candidate # 102.821 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 102.821 * * [simplify]: iters left: 6 (16 enodes) 102.827 * * [simplify]: iters left: 5 (65 enodes) 102.839 * * [simplify]: iters left: 4 (96 enodes) 102.861 * * [simplify]: iters left: 3 (141 enodes) 102.903 * * [simplify]: iters left: 2 (244 enodes) 102.973 * * [simplify]: iters left: 1 (425 enodes) 103.127 * * [simplify]: Extracting #0: cost 1 inf + 0 103.128 * * [simplify]: Extracting #1: cost 4 inf + 0 103.128 * * [simplify]: Extracting #2: cost 5 inf + 1 103.128 * * [simplify]: Extracting #3: cost 10 inf + 1 103.128 * * [simplify]: Extracting #4: cost 48 inf + 1 103.129 * * [simplify]: Extracting #5: cost 148 inf + 85 103.130 * * [simplify]: Extracting #6: cost 189 inf + 673 103.134 * * [simplify]: Extracting #7: cost 133 inf + 6706 103.141 * * [simplify]: Extracting #8: cost 85 inf + 20397 103.154 * * [simplify]: Extracting #9: cost 10 inf + 76823 103.166 * * [simplify]: Extracting #10: cost 0 inf + 85573 103.181 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 103.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 103.182 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 103.182 * * [simplify]: iters left: 6 (15 enodes) 103.191 * * [simplify]: iters left: 5 (60 enodes) 103.210 * * [simplify]: iters left: 4 (91 enodes) 103.242 * * [simplify]: iters left: 3 (135 enodes) 103.289 * * [simplify]: iters left: 2 (237 enodes) 103.375 * * [simplify]: iters left: 1 (420 enodes) 103.554 * * [simplify]: Extracting #0: cost 1 inf + 0 103.554 * * [simplify]: Extracting #1: cost 4 inf + 0 103.554 * * [simplify]: Extracting #2: cost 5 inf + 1 103.554 * * [simplify]: Extracting #3: cost 10 inf + 1 103.554 * * [simplify]: Extracting #4: cost 43 inf + 1 103.554 * * [simplify]: Extracting #5: cost 130 inf + 85 103.555 * * [simplify]: Extracting #6: cost 179 inf + 1456 103.558 * * [simplify]: Extracting #7: cost 113 inf + 15450 103.569 * * [simplify]: Extracting #8: cost 34 inf + 53806 103.580 * * [simplify]: Extracting #9: cost 0 inf + 78930 103.593 * * [simplify]: Extracting #10: cost 0 inf + 77441 103.616 * * [simplify]: Extracting #11: cost 0 inf + 77360 103.638 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 103.639 * [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))))))) 103.639 * * * * [progress]: [ 150 / 307 ] simplifiying candidate # 103.639 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 103.639 * * [simplify]: iters left: 6 (14 enodes) 103.644 * * [simplify]: iters left: 5 (59 enodes) 103.656 * * [simplify]: iters left: 4 (105 enodes) 103.688 * * [simplify]: iters left: 3 (218 enodes) 103.812 * * [simplify]: Extracting #0: cost 1 inf + 0 103.813 * * [simplify]: Extracting #1: cost 42 inf + 0 103.813 * * [simplify]: Extracting #2: cost 118 inf + 1 103.815 * * [simplify]: Extracting #3: cost 148 inf + 3 103.816 * * [simplify]: Extracting #4: cost 140 inf + 1026 103.819 * * [simplify]: Extracting #5: cost 89 inf + 11783 103.827 * * [simplify]: Extracting #6: cost 45 inf + 28451 103.840 * * [simplify]: Extracting #7: cost 2 inf + 56810 103.855 * * [simplify]: Extracting #8: cost 0 inf + 58010 103.870 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 103.870 * [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)))))) 103.870 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 103.871 * * [simplify]: iters left: 6 (13 enodes) 103.878 * * [simplify]: iters left: 5 (53 enodes) 103.896 * * [simplify]: iters left: 4 (89 enodes) 103.925 * * [simplify]: iters left: 3 (148 enodes) 103.974 * * [simplify]: iters left: 2 (312 enodes) 104.121 * * [simplify]: Extracting #0: cost 1 inf + 0 104.121 * * [simplify]: Extracting #1: cost 52 inf + 0 104.122 * * [simplify]: Extracting #2: cost 132 inf + 1 104.122 * * [simplify]: Extracting #3: cost 181 inf + 3 104.123 * * [simplify]: Extracting #4: cost 170 inf + 1410 104.126 * * [simplify]: Extracting #5: cost 115 inf + 19554 104.146 * * [simplify]: Extracting #6: cost 30 inf + 70130 104.171 * * [simplify]: Extracting #7: cost 0 inf + 90044 104.197 * * [simplify]: Extracting #8: cost 0 inf + 88887 104.222 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 104.222 * [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))))) 104.223 * * * * [progress]: [ 151 / 307 ] simplifiying candidate # 104.223 * [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)))))) 104.223 * * [simplify]: iters left: 6 (19 enodes) 104.235 * * [simplify]: iters left: 5 (82 enodes) 104.254 * * [simplify]: iters left: 4 (145 enodes) 104.289 * * [simplify]: iters left: 3 (245 enodes) 104.366 * * [simplify]: iters left: 2 (438 enodes) 104.575 * * [simplify]: Extracting #0: cost 1 inf + 0 104.575 * * [simplify]: Extracting #1: cost 18 inf + 0 104.575 * * [simplify]: Extracting #2: cost 34 inf + 1 104.575 * * [simplify]: Extracting #3: cost 48 inf + 1 104.576 * * [simplify]: Extracting #4: cost 88 inf + 206 104.577 * * [simplify]: Extracting #5: cost 113 inf + 1508 104.580 * * [simplify]: Extracting #6: cost 65 inf + 13166 104.586 * * [simplify]: Extracting #7: cost 11 inf + 31726 104.595 * * [simplify]: Extracting #8: cost 1 inf + 38286 104.602 * * [simplify]: Extracting #9: cost 0 inf + 38873 104.611 * [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)))) 104.611 * [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))))))) 104.612 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 104.612 * * [simplify]: iters left: 6 (16 enodes) 104.622 * * [simplify]: iters left: 5 (65 enodes) 104.641 * * [simplify]: iters left: 4 (101 enodes) 104.659 * * [simplify]: iters left: 3 (147 enodes) 104.692 * * [simplify]: iters left: 2 (258 enodes) 104.769 * * [simplify]: iters left: 1 (426 enodes) 104.942 * * [simplify]: Extracting #0: cost 1 inf + 0 104.942 * * [simplify]: Extracting #1: cost 7 inf + 0 104.942 * * [simplify]: Extracting #2: cost 12 inf + 1 104.942 * * [simplify]: Extracting #3: cost 40 inf + 1 104.943 * * [simplify]: Extracting #4: cost 112 inf + 327 104.944 * * [simplify]: Extracting #5: cost 166 inf + 1738 104.946 * * [simplify]: Extracting #6: cost 98 inf + 13976 104.955 * * [simplify]: Extracting #7: cost 17 inf + 52029 104.969 * * [simplify]: Extracting #8: cost 0 inf + 64587 104.994 * * [simplify]: Extracting #9: cost 0 inf + 64466 105.018 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 105.019 * [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))))) 105.019 * * * * [progress]: [ 152 / 307 ] simplifiying candidate # 105.019 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.019 * * [simplify]: iters left: 6 (18 enodes) 105.030 * * [simplify]: iters left: 5 (75 enodes) 105.058 * * [simplify]: iters left: 4 (119 enodes) 105.089 * * [simplify]: iters left: 3 (203 enodes) 105.158 * * [simplify]: iters left: 2 (368 enodes) 105.253 * * [simplify]: Extracting #0: cost 1 inf + 0 105.253 * * [simplify]: Extracting #1: cost 15 inf + 0 105.254 * * [simplify]: Extracting #2: cost 26 inf + 1 105.254 * * [simplify]: Extracting #3: cost 45 inf + 1 105.254 * * [simplify]: Extracting #4: cost 96 inf + 650 105.255 * * [simplify]: Extracting #5: cost 104 inf + 2293 105.257 * * [simplify]: Extracting #6: cost 57 inf + 11704 105.261 * * [simplify]: Extracting #7: cost 13 inf + 25784 105.266 * * [simplify]: Extracting #8: cost 0 inf + 35320 105.272 * * [simplify]: Extracting #9: cost 0 inf + 35189 105.281 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 105.281 * [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))))))) 105.281 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 105.282 * * [simplify]: iters left: 6 (16 enodes) 105.291 * * [simplify]: iters left: 5 (65 enodes) 105.303 * * [simplify]: iters left: 4 (102 enodes) 105.321 * * [simplify]: iters left: 3 (148 enodes) 105.366 * * [simplify]: iters left: 2 (260 enodes) 105.433 * * [simplify]: iters left: 1 (422 enodes) 105.548 * * [simplify]: Extracting #0: cost 1 inf + 0 105.549 * * [simplify]: Extracting #1: cost 7 inf + 0 105.549 * * [simplify]: Extracting #2: cost 13 inf + 1 105.549 * * [simplify]: Extracting #3: cost 44 inf + 1 105.550 * * [simplify]: Extracting #4: cost 121 inf + 327 105.551 * * [simplify]: Extracting #5: cost 147 inf + 1530 105.556 * * [simplify]: Extracting #6: cost 85 inf + 13741 105.570 * * [simplify]: Extracting #7: cost 19 inf + 48652 105.586 * * [simplify]: Extracting #8: cost 0 inf + 64132 105.595 * * [simplify]: Extracting #9: cost 0 inf + 63973 105.605 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 105.605 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 105.605 * * * * [progress]: [ 153 / 307 ] simplifiying candidate # 105.606 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 105.606 * * [simplify]: iters left: 6 (9 enodes) 105.609 * * [simplify]: iters left: 5 (33 enodes) 105.618 * * [simplify]: iters left: 4 (60 enodes) 105.630 * * [simplify]: iters left: 3 (109 enodes) 105.657 * * [simplify]: iters left: 2 (121 enodes) 105.665 * * [simplify]: Extracting #0: cost 1 inf + 0 105.665 * * [simplify]: Extracting #1: cost 6 inf + 0 105.665 * * [simplify]: Extracting #2: cost 9 inf + 1 105.665 * * [simplify]: Extracting #3: cost 11 inf + 1 105.666 * * [simplify]: Extracting #4: cost 1 inf + 1255 105.666 * * [simplify]: Extracting #5: cost 0 inf + 1376 105.666 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 105.666 * [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)))))) 105.667 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 105.667 * * [simplify]: iters left: 6 (15 enodes) 105.673 * * [simplify]: iters left: 5 (62 enodes) 105.685 * * [simplify]: iters left: 4 (102 enodes) 105.717 * * [simplify]: iters left: 3 (168 enodes) 105.765 * * [simplify]: iters left: 2 (350 enodes) 105.911 * * [simplify]: Extracting #0: cost 1 inf + 0 105.911 * * [simplify]: Extracting #1: cost 54 inf + 0 105.912 * * [simplify]: Extracting #2: cost 146 inf + 1 105.913 * * [simplify]: Extracting #3: cost 197 inf + 3 105.916 * * [simplify]: Extracting #4: cost 171 inf + 4719 105.922 * * [simplify]: Extracting #5: cost 128 inf + 16846 105.934 * * [simplify]: Extracting #6: cost 76 inf + 43831 105.959 * * [simplify]: Extracting #7: cost 2 inf + 103667 105.987 * * [simplify]: Extracting #8: cost 0 inf + 103498 106.015 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 106.015 * [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))))) 106.016 * * * * [progress]: [ 154 / 307 ] simplifiying candidate # 106.016 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 106.016 * * [simplify]: iters left: 6 (18 enodes) 106.028 * * [simplify]: iters left: 5 (78 enodes) 106.049 * * [simplify]: iters left: 4 (135 enodes) 106.077 * * [simplify]: iters left: 3 (270 enodes) 106.166 * * [simplify]: Extracting #0: cost 1 inf + 0 106.166 * * [simplify]: Extracting #1: cost 43 inf + 0 106.167 * * [simplify]: Extracting #2: cost 118 inf + 1 106.168 * * [simplify]: Extracting #3: cost 163 inf + 2 106.169 * * [simplify]: Extracting #4: cost 164 inf + 581 106.172 * * [simplify]: Extracting #5: cost 110 inf + 9347 106.183 * * [simplify]: Extracting #6: cost 50 inf + 30782 106.194 * * [simplify]: Extracting #7: cost 8 inf + 59687 106.204 * * [simplify]: Extracting #8: cost 0 inf + 65754 106.217 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 106.217 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 106.218 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 106.218 * * [simplify]: iters left: 6 (16 enodes) 106.228 * * [simplify]: iters left: 5 (68 enodes) 106.242 * * [simplify]: iters left: 4 (115 enodes) 106.266 * * [simplify]: iters left: 3 (196 enodes) 106.353 * * [simplify]: iters left: 2 (406 enodes) 106.511 * * [simplify]: Extracting #0: cost 1 inf + 0 106.512 * * [simplify]: Extracting #1: cost 40 inf + 0 106.512 * * [simplify]: Extracting #2: cost 120 inf + 1 106.513 * * [simplify]: Extracting #3: cost 181 inf + 3 106.514 * * [simplify]: Extracting #4: cost 183 inf + 759 106.517 * * [simplify]: Extracting #5: cost 125 inf + 16359 106.540 * * [simplify]: Extracting #6: cost 24 inf + 69037 106.555 * * [simplify]: Extracting #7: cost 0 inf + 88860 106.568 * * [simplify]: Extracting #8: cost 0 inf + 88780 106.592 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 106.592 * [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 k) 4)) (cbrt (sqrt k))))) 106.593 * * * * [progress]: [ 155 / 307 ] simplifiying candidate # 106.593 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 106.593 * * [simplify]: iters left: 6 (14 enodes) 106.602 * * [simplify]: iters left: 5 (58 enodes) 106.622 * * [simplify]: iters left: 4 (90 enodes) 106.652 * * [simplify]: iters left: 3 (152 enodes) 106.705 * * [simplify]: iters left: 2 (326 enodes) 106.827 * * [simplify]: Extracting #0: cost 1 inf + 0 106.827 * * [simplify]: Extracting #1: cost 45 inf + 0 106.827 * * [simplify]: Extracting #2: cost 138 inf + 1 106.828 * * [simplify]: Extracting #3: cost 185 inf + 4 106.829 * * [simplify]: Extracting #4: cost 177 inf + 2368 106.831 * * [simplify]: Extracting #5: cost 121 inf + 14909 106.838 * * [simplify]: Extracting #6: cost 53 inf + 51638 106.858 * * [simplify]: Extracting #7: cost 6 inf + 82722 106.884 * * [simplify]: Extracting #8: cost 0 inf + 86891 106.906 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 106.906 * [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)))))) 106.907 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 106.907 * * [simplify]: iters left: 6 (13 enodes) 106.915 * * [simplify]: iters left: 5 (53 enodes) 106.933 * * [simplify]: iters left: 4 (89 enodes) 106.956 * * [simplify]: iters left: 3 (148 enodes) 107.006 * * [simplify]: iters left: 2 (312 enodes) 107.158 * * [simplify]: Extracting #0: cost 1 inf + 0 107.158 * * [simplify]: Extracting #1: cost 52 inf + 0 107.159 * * [simplify]: Extracting #2: cost 132 inf + 1 107.160 * * [simplify]: Extracting #3: cost 181 inf + 3 107.162 * * [simplify]: Extracting #4: cost 170 inf + 1490 107.168 * * [simplify]: Extracting #5: cost 115 inf + 19634 107.187 * * [simplify]: Extracting #6: cost 30 inf + 70210 107.211 * * [simplify]: Extracting #7: cost 0 inf + 90124 107.227 * * [simplify]: Extracting #8: cost 0 inf + 88967 107.240 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 107.240 * [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))))) 107.240 * * * * [progress]: [ 156 / 307 ] simplifiying candidate # 107.241 * [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)))))) 107.241 * * [simplify]: iters left: 6 (19 enodes) 107.250 * * [simplify]: iters left: 5 (79 enodes) 107.277 * * [simplify]: iters left: 4 (117 enodes) 107.309 * * [simplify]: iters left: 3 (176 enodes) 107.346 * * [simplify]: iters left: 2 (292 enodes) 107.420 * * [simplify]: iters left: 1 (479 enodes) 107.587 * * [simplify]: Extracting #0: cost 1 inf + 0 107.588 * * [simplify]: Extracting #1: cost 10 inf + 0 107.588 * * [simplify]: Extracting #2: cost 19 inf + 1 107.588 * * [simplify]: Extracting #3: cost 48 inf + 1 107.589 * * [simplify]: Extracting #4: cost 117 inf + 973 107.591 * * [simplify]: Extracting #5: cost 185 inf + 1560 107.596 * * [simplify]: Extracting #6: cost 119 inf + 12682 107.614 * * [simplify]: Extracting #7: cost 32 inf + 43405 107.629 * * [simplify]: Extracting #8: cost 0 inf + 72114 107.640 * * [simplify]: Extracting #9: cost 0 inf + 71744 107.650 * * [simplify]: Extracting #10: cost 0 inf + 71324 107.662 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 107.662 * [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))))))) 107.663 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 107.663 * * [simplify]: iters left: 6 (16 enodes) 107.668 * * [simplify]: iters left: 5 (65 enodes) 107.679 * * [simplify]: iters left: 4 (101 enodes) 107.702 * * [simplify]: iters left: 3 (147 enodes) 107.739 * * [simplify]: iters left: 2 (258 enodes) 107.820 * * [simplify]: iters left: 1 (426 enodes) 107.979 * * [simplify]: Extracting #0: cost 1 inf + 0 107.979 * * [simplify]: Extracting #1: cost 7 inf + 0 107.980 * * [simplify]: Extracting #2: cost 12 inf + 1 107.980 * * [simplify]: Extracting #3: cost 40 inf + 1 107.980 * * [simplify]: Extracting #4: cost 112 inf + 407 107.981 * * [simplify]: Extracting #5: cost 166 inf + 1818 107.984 * * [simplify]: Extracting #6: cost 98 inf + 14056 107.993 * * [simplify]: Extracting #7: cost 17 inf + 52109 108.008 * * [simplify]: Extracting #8: cost 0 inf + 64667 108.021 * * [simplify]: Extracting #9: cost 0 inf + 64546 108.034 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 108.034 * [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))))) 108.034 * * * * [progress]: [ 157 / 307 ] simplifiying candidate # 108.034 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.034 * * [simplify]: iters left: 6 (18 enodes) 108.040 * * [simplify]: iters left: 5 (74 enodes) 108.054 * * [simplify]: iters left: 4 (111 enodes) 108.073 * * [simplify]: iters left: 3 (162 enodes) 108.111 * * [simplify]: iters left: 2 (270 enodes) 108.176 * * [simplify]: iters left: 1 (461 enodes) 108.349 * * [simplify]: Extracting #0: cost 1 inf + 0 108.349 * * [simplify]: Extracting #1: cost 7 inf + 0 108.349 * * [simplify]: Extracting #2: cost 14 inf + 1 108.349 * * [simplify]: Extracting #3: cost 44 inf + 1 108.350 * * [simplify]: Extracting #4: cost 128 inf + 286 108.350 * * [simplify]: Extracting #5: cost 184 inf + 621 108.352 * * [simplify]: Extracting #6: cost 115 inf + 10846 108.358 * * [simplify]: Extracting #7: cost 36 inf + 33154 108.371 * * [simplify]: Extracting #8: cost 0 inf + 66813 108.382 * * [simplify]: Extracting #9: cost 0 inf + 63130 108.393 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 108.393 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 108.393 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 108.393 * * [simplify]: iters left: 6 (16 enodes) 108.399 * * [simplify]: iters left: 5 (65 enodes) 108.410 * * [simplify]: iters left: 4 (102 enodes) 108.428 * * [simplify]: iters left: 3 (148 enodes) 108.463 * * [simplify]: iters left: 2 (260 enodes) 108.553 * * [simplify]: iters left: 1 (422 enodes) 108.756 * * [simplify]: Extracting #0: cost 1 inf + 0 108.756 * * [simplify]: Extracting #1: cost 7 inf + 0 108.757 * * [simplify]: Extracting #2: cost 13 inf + 1 108.757 * * [simplify]: Extracting #3: cost 44 inf + 1 108.758 * * [simplify]: Extracting #4: cost 121 inf + 407 108.759 * * [simplify]: Extracting #5: cost 147 inf + 1610 108.764 * * [simplify]: Extracting #6: cost 85 inf + 13821 108.772 * * [simplify]: Extracting #7: cost 19 inf + 48732 108.782 * * [simplify]: Extracting #8: cost 0 inf + 64212 108.792 * * [simplify]: Extracting #9: cost 0 inf + 64053 108.808 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 108.808 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 108.808 * * * * [progress]: [ 158 / 307 ] simplifiying candidate # 108.809 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 108.809 * * [simplify]: iters left: 6 (9 enodes) 108.814 * * [simplify]: iters left: 5 (31 enodes) 108.824 * * [simplify]: iters left: 4 (34 enodes) 108.832 * * [simplify]: Extracting #0: cost 1 inf + 0 108.833 * * [simplify]: Extracting #1: cost 4 inf + 0 108.833 * * [simplify]: Extracting #2: cost 6 inf + 1 108.833 * * [simplify]: Extracting #3: cost 9 inf + 1 108.833 * * [simplify]: Extracting #4: cost 0 inf + 972 108.833 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 108.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 108.834 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 108.834 * * [simplify]: iters left: 6 (15 enodes) 108.846 * * [simplify]: iters left: 5 (62 enodes) 108.865 * * [simplify]: iters left: 4 (102 enodes) 108.883 * * [simplify]: iters left: 3 (168 enodes) 108.938 * * [simplify]: iters left: 2 (350 enodes) 109.068 * * [simplify]: Extracting #0: cost 1 inf + 0 109.068 * * [simplify]: Extracting #1: cost 54 inf + 0 109.069 * * [simplify]: Extracting #2: cost 146 inf + 1 109.069 * * [simplify]: Extracting #3: cost 197 inf + 3 109.071 * * [simplify]: Extracting #4: cost 171 inf + 4799 109.073 * * [simplify]: Extracting #5: cost 128 inf + 16926 109.079 * * [simplify]: Extracting #6: cost 76 inf + 43911 109.097 * * [simplify]: Extracting #7: cost 2 inf + 103747 109.125 * * [simplify]: Extracting #8: cost 0 inf + 103578 109.155 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 109.155 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 109.156 * * * * [progress]: [ 159 / 307 ] simplifiying candidate # 109.156 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 109.156 * * [simplify]: iters left: 6 (18 enodes) 109.167 * * [simplify]: iters left: 5 (77 enodes) 109.192 * * [simplify]: iters left: 4 (121 enodes) 109.231 * * [simplify]: iters left: 3 (197 enodes) 109.286 * * [simplify]: iters left: 2 (387 enodes) 109.416 * * [simplify]: Extracting #0: cost 1 inf + 0 109.416 * * [simplify]: Extracting #1: cost 48 inf + 0 109.417 * * [simplify]: Extracting #2: cost 133 inf + 1 109.418 * * [simplify]: Extracting #3: cost 197 inf + 3 109.420 * * [simplify]: Extracting #4: cost 185 inf + 4093 109.427 * * [simplify]: Extracting #5: cost 113 inf + 23881 109.450 * * [simplify]: Extracting #6: cost 15 inf + 87330 109.483 * * [simplify]: Extracting #7: cost 0 inf + 99540 109.512 * * [simplify]: Extracting #8: cost 0 inf + 99289 109.541 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/4 (/ k 4))) (fabs (cbrt k))) 109.541 * [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)))))) 109.541 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 109.541 * * [simplify]: iters left: 6 (16 enodes) 109.551 * * [simplify]: iters left: 5 (68 enodes) 109.574 * * [simplify]: iters left: 4 (115 enodes) 109.611 * * [simplify]: iters left: 3 (196 enodes) 109.686 * * [simplify]: iters left: 2 (406 enodes) 109.833 * * [simplify]: Extracting #0: cost 1 inf + 0 109.833 * * [simplify]: Extracting #1: cost 40 inf + 0 109.833 * * [simplify]: Extracting #2: cost 120 inf + 1 109.834 * * [simplify]: Extracting #3: cost 181 inf + 3 109.834 * * [simplify]: Extracting #4: cost 183 inf + 839 109.837 * * [simplify]: Extracting #5: cost 125 inf + 16439 109.855 * * [simplify]: Extracting #6: cost 24 inf + 69117 109.882 * * [simplify]: Extracting #7: cost 0 inf + 88940 109.908 * * [simplify]: Extracting #8: cost 0 inf + 88860 109.921 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 109.921 * [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 k) 4)) (sqrt (cbrt k))))) 109.921 * * * * [progress]: [ 160 / 307 ] simplifiying candidate # 109.922 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 109.922 * * [simplify]: iters left: 6 (13 enodes) 109.929 * * [simplify]: iters left: 5 (54 enodes) 109.940 * * [simplify]: iters left: 4 (90 enodes) 109.955 * * [simplify]: iters left: 3 (154 enodes) 109.988 * * [simplify]: iters left: 2 (313 enodes) 110.082 * * [simplify]: Extracting #0: cost 1 inf + 0 110.082 * * [simplify]: Extracting #1: cost 47 inf + 0 110.083 * * [simplify]: Extracting #2: cost 131 inf + 1 110.083 * * [simplify]: Extracting #3: cost 181 inf + 4 110.084 * * [simplify]: Extracting #4: cost 170 inf + 2699 110.086 * * [simplify]: Extracting #5: cost 131 inf + 8451 110.095 * * [simplify]: Extracting #6: cost 55 inf + 45476 110.116 * * [simplify]: Extracting #7: cost 1 inf + 82070 110.139 * * [simplify]: Extracting #8: cost 0 inf + 82815 110.161 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.161 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 110.162 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 110.162 * * [simplify]: iters left: 6 (13 enodes) 110.170 * * [simplify]: iters left: 5 (53 enodes) 110.184 * * [simplify]: iters left: 4 (89 enodes) 110.200 * * [simplify]: iters left: 3 (148 enodes) 110.242 * * [simplify]: iters left: 2 (312 enodes) 110.398 * * [simplify]: Extracting #0: cost 1 inf + 0 110.399 * * [simplify]: Extracting #1: cost 52 inf + 0 110.399 * * [simplify]: Extracting #2: cost 132 inf + 1 110.400 * * [simplify]: Extracting #3: cost 181 inf + 3 110.400 * * [simplify]: Extracting #4: cost 170 inf + 1290 110.403 * * [simplify]: Extracting #5: cost 115 inf + 19114 110.420 * * [simplify]: Extracting #6: cost 30 inf + 67930 110.433 * * [simplify]: Extracting #7: cost 0 inf + 86804 110.449 * * [simplify]: Extracting #8: cost 0 inf + 85647 110.473 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 110.473 * [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))))) 110.473 * * * * [progress]: [ 161 / 307 ] simplifiying candidate # 110.473 * [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)))))) 110.473 * * [simplify]: iters left: 6 (18 enodes) 110.479 * * [simplify]: iters left: 5 (75 enodes) 110.493 * * [simplify]: iters left: 4 (113 enodes) 110.524 * * [simplify]: iters left: 3 (172 enodes) 110.580 * * [simplify]: iters left: 2 (291 enodes) 110.658 * * [simplify]: iters left: 1 (479 enodes) 110.810 * * [simplify]: Extracting #0: cost 1 inf + 0 110.810 * * [simplify]: Extracting #1: cost 10 inf + 0 110.810 * * [simplify]: Extracting #2: cost 18 inf + 1 110.810 * * [simplify]: Extracting #3: cost 52 inf + 1 110.811 * * [simplify]: Extracting #4: cost 132 inf + 328 110.812 * * [simplify]: Extracting #5: cost 184 inf + 1286 110.814 * * [simplify]: Extracting #6: cost 117 inf + 12476 110.820 * * [simplify]: Extracting #7: cost 58 inf + 30087 110.830 * * [simplify]: Extracting #8: cost 11 inf + 71986 110.843 * * [simplify]: Extracting #9: cost 0 inf + 81605 110.856 * * [simplify]: Extracting #10: cost 0 inf + 81226 110.868 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 110.868 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 110.869 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 110.869 * * [simplify]: iters left: 6 (16 enodes) 110.874 * * [simplify]: iters left: 5 (65 enodes) 110.888 * * [simplify]: iters left: 4 (101 enodes) 110.906 * * [simplify]: iters left: 3 (147 enodes) 110.934 * * [simplify]: iters left: 2 (258 enodes) 111.008 * * [simplify]: iters left: 1 (426 enodes) 111.181 * * [simplify]: Extracting #0: cost 1 inf + 0 111.181 * * [simplify]: Extracting #1: cost 7 inf + 0 111.181 * * [simplify]: Extracting #2: cost 12 inf + 1 111.181 * * [simplify]: Extracting #3: cost 40 inf + 1 111.182 * * [simplify]: Extracting #4: cost 112 inf + 247 111.183 * * [simplify]: Extracting #5: cost 166 inf + 1578 111.189 * * [simplify]: Extracting #6: cost 98 inf + 13736 111.198 * * [simplify]: Extracting #7: cost 17 inf + 51709 111.217 * * [simplify]: Extracting #8: cost 0 inf + 64267 111.240 * * [simplify]: Extracting #9: cost 0 inf + 64146 111.264 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.264 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 111.265 * * * * [progress]: [ 162 / 307 ] simplifiying candidate # 111.265 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.265 * * [simplify]: iters left: 6 (17 enodes) 111.275 * * [simplify]: iters left: 5 (70 enodes) 111.299 * * [simplify]: iters left: 4 (107 enodes) 111.333 * * [simplify]: iters left: 3 (158 enodes) 111.377 * * [simplify]: iters left: 2 (263 enodes) 111.428 * * [simplify]: iters left: 1 (433 enodes) 111.563 * * [simplify]: Extracting #0: cost 1 inf + 0 111.563 * * [simplify]: Extracting #1: cost 7 inf + 0 111.563 * * [simplify]: Extracting #2: cost 13 inf + 1 111.563 * * [simplify]: Extracting #3: cost 43 inf + 1 111.564 * * [simplify]: Extracting #4: cost 130 inf + 125 111.565 * * [simplify]: Extracting #5: cost 184 inf + 668 111.569 * * [simplify]: Extracting #6: cost 129 inf + 7124 111.579 * * [simplify]: Extracting #7: cost 51 inf + 27953 111.589 * * [simplify]: Extracting #8: cost 11 inf + 58941 111.604 * * [simplify]: Extracting #9: cost 0 inf + 68039 111.619 * * [simplify]: Extracting #10: cost 0 inf + 67641 111.636 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.636 * [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))))))) 111.636 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 111.636 * * [simplify]: iters left: 6 (16 enodes) 111.641 * * [simplify]: iters left: 5 (65 enodes) 111.653 * * [simplify]: iters left: 4 (102 enodes) 111.670 * * [simplify]: iters left: 3 (148 enodes) 111.705 * * [simplify]: iters left: 2 (260 enodes) 111.765 * * [simplify]: iters left: 1 (422 enodes) 111.910 * * [simplify]: Extracting #0: cost 1 inf + 0 111.910 * * [simplify]: Extracting #1: cost 7 inf + 0 111.911 * * [simplify]: Extracting #2: cost 13 inf + 1 111.911 * * [simplify]: Extracting #3: cost 44 inf + 1 111.912 * * [simplify]: Extracting #4: cost 121 inf + 247 111.913 * * [simplify]: Extracting #5: cost 147 inf + 1370 111.918 * * [simplify]: Extracting #6: cost 85 inf + 13461 111.931 * * [simplify]: Extracting #7: cost 19 inf + 48332 111.950 * * [simplify]: Extracting #8: cost 0 inf + 63812 111.964 * * [simplify]: Extracting #9: cost 0 inf + 63653 111.974 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 111.974 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 111.974 * * * * [progress]: [ 163 / 307 ] simplifiying candidate # 111.974 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 111.974 * * [simplify]: iters left: 6 (8 enodes) 111.977 * * [simplify]: iters left: 5 (28 enodes) 111.982 * * [simplify]: iters left: 4 (30 enodes) 111.990 * * [simplify]: iters left: 3 (31 enodes) 111.997 * * [simplify]: Extracting #0: cost 1 inf + 0 111.997 * * [simplify]: Extracting #1: cost 4 inf + 0 111.997 * * [simplify]: Extracting #2: cost 5 inf + 1 111.997 * * [simplify]: Extracting #3: cost 7 inf + 1 111.998 * * [simplify]: Extracting #4: cost 3 inf + 165 111.998 * * [simplify]: Extracting #5: cost 0 inf + 490 111.998 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 111.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 111.998 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 111.999 * * [simplify]: iters left: 6 (15 enodes) 112.008 * * [simplify]: iters left: 5 (62 enodes) 112.029 * * [simplify]: iters left: 4 (102 enodes) 112.061 * * [simplify]: iters left: 3 (168 enodes) 112.134 * * [simplify]: iters left: 2 (350 enodes) 112.262 * * [simplify]: Extracting #0: cost 1 inf + 0 112.262 * * [simplify]: Extracting #1: cost 54 inf + 0 112.263 * * [simplify]: Extracting #2: cost 146 inf + 1 112.264 * * [simplify]: Extracting #3: cost 197 inf + 3 112.267 * * [simplify]: Extracting #4: cost 171 inf + 4479 112.273 * * [simplify]: Extracting #5: cost 128 inf + 16246 112.282 * * [simplify]: Extracting #6: cost 76 inf + 42231 112.294 * * [simplify]: Extracting #7: cost 2 inf + 100347 112.312 * * [simplify]: Extracting #8: cost 0 inf + 100098 112.336 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 112.336 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 112.336 * * * * [progress]: [ 164 / 307 ] simplifiying candidate # 112.336 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 112.336 * * [simplify]: iters left: 6 (17 enodes) 112.342 * * [simplify]: iters left: 5 (73 enodes) 112.355 * * [simplify]: iters left: 4 (117 enodes) 112.387 * * [simplify]: iters left: 3 (193 enodes) 112.440 * * [simplify]: iters left: 2 (376 enodes) 112.561 * * [simplify]: Extracting #0: cost 1 inf + 0 112.561 * * [simplify]: Extracting #1: cost 41 inf + 0 112.562 * * [simplify]: Extracting #2: cost 126 inf + 1 112.562 * * [simplify]: Extracting #3: cost 186 inf + 3 112.564 * * [simplify]: Extracting #4: cost 169 inf + 5154 112.573 * * [simplify]: Extracting #5: cost 64 inf + 49356 112.589 * * [simplify]: Extracting #6: cost 8 inf + 85043 112.606 * * [simplify]: Extracting #7: cost 0 inf + 90415 112.632 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 112.632 * [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)))))) 112.633 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 112.633 * * [simplify]: iters left: 6 (16 enodes) 112.642 * * [simplify]: iters left: 5 (68 enodes) 112.664 * * [simplify]: iters left: 4 (115 enodes) 112.692 * * [simplify]: iters left: 3 (196 enodes) 112.771 * * [simplify]: iters left: 2 (406 enodes) 112.897 * * [simplify]: Extracting #0: cost 1 inf + 0 112.897 * * [simplify]: Extracting #1: cost 40 inf + 0 112.898 * * [simplify]: Extracting #2: cost 120 inf + 1 112.898 * * [simplify]: Extracting #3: cost 181 inf + 3 112.899 * * [simplify]: Extracting #4: cost 183 inf + 719 112.901 * * [simplify]: Extracting #5: cost 125 inf + 15959 112.911 * * [simplify]: Extracting #6: cost 24 inf + 66997 112.925 * * [simplify]: Extracting #7: cost 0 inf + 85940 112.945 * * [simplify]: Extracting #8: cost 0 inf + 85860 112.972 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 112.972 * [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 k) 4)) (sqrt (sqrt k))))) 112.973 * * * * [progress]: [ 165 / 307 ] simplifiying candidate # 112.973 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 112.973 * * [simplify]: iters left: 6 (12 enodes) 112.983 * * [simplify]: iters left: 5 (51 enodes) 113.001 * * [simplify]: iters left: 4 (82 enodes) 113.023 * * [simplify]: iters left: 3 (131 enodes) 113.051 * * [simplify]: iters left: 2 (254 enodes) 113.138 * * [simplify]: Extracting #0: cost 1 inf + 0 113.139 * * [simplify]: Extracting #1: cost 22 inf + 0 113.139 * * [simplify]: Extracting #2: cost 90 inf + 3 113.139 * * [simplify]: Extracting #3: cost 135 inf + 6 113.140 * * [simplify]: Extracting #4: cost 131 inf + 344 113.141 * * [simplify]: Extracting #5: cost 83 inf + 6440 113.145 * * [simplify]: Extracting #6: cost 25 inf + 31798 113.151 * * [simplify]: Extracting #7: cost 1 inf + 48490 113.157 * * [simplify]: Extracting #8: cost 0 inf + 47917 113.163 * * [simplify]: Extracting #9: cost 0 inf + 47526 113.172 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 113.172 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 113.173 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 113.173 * * [simplify]: iters left: 6 (12 enodes) 113.181 * * [simplify]: iters left: 5 (50 enodes) 113.198 * * [simplify]: iters left: 4 (86 enodes) 113.231 * * [simplify]: iters left: 3 (149 enodes) 113.265 * * [simplify]: iters left: 2 (314 enodes) 113.415 * * [simplify]: Extracting #0: cost 1 inf + 0 113.416 * * [simplify]: Extracting #1: cost 47 inf + 0 113.416 * * [simplify]: Extracting #2: cost 129 inf + 1 113.417 * * [simplify]: Extracting #3: cost 174 inf + 127 113.419 * * [simplify]: Extracting #4: cost 168 inf + 1129 113.423 * * [simplify]: Extracting #5: cost 125 inf + 10926 113.435 * * [simplify]: Extracting #6: cost 44 inf + 52003 113.456 * * [simplify]: Extracting #7: cost 0 inf + 83738 113.477 * * [simplify]: Extracting #8: cost 0 inf + 80065 113.500 * * [simplify]: Extracting #9: cost 0 inf + 79279 113.522 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 113.523 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 113.523 * * * * [progress]: [ 166 / 307 ] simplifiying candidate # 113.523 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 113.523 * * [simplify]: iters left: 6 (17 enodes) 113.536 * * [simplify]: iters left: 5 (72 enodes) 113.566 * * [simplify]: iters left: 4 (112 enodes) 113.599 * * [simplify]: iters left: 3 (165 enodes) 113.656 * * [simplify]: iters left: 2 (266 enodes) 113.751 * * [simplify]: iters left: 1 (447 enodes) 113.899 * * [simplify]: Extracting #0: cost 1 inf + 0 113.899 * * [simplify]: Extracting #1: cost 6 inf + 0 113.899 * * [simplify]: Extracting #2: cost 9 inf + 1 113.899 * * [simplify]: Extracting #3: cost 35 inf + 1 113.900 * * [simplify]: Extracting #4: cost 115 inf + 2 113.901 * * [simplify]: Extracting #5: cost 185 inf + 176 113.903 * * [simplify]: Extracting #6: cost 173 inf + 1428 113.908 * * [simplify]: Extracting #7: cost 87 inf + 14165 113.923 * * [simplify]: Extracting #8: cost 23 inf + 48840 113.933 * * [simplify]: Extracting #9: cost 0 inf + 70800 113.943 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 113.943 * [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))))))) 113.944 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 113.944 * * [simplify]: iters left: 6 (15 enodes) 113.950 * * [simplify]: iters left: 5 (62 enodes) 113.961 * * [simplify]: iters left: 4 (98 enodes) 113.978 * * [simplify]: iters left: 3 (144 enodes) 114.392 * * [simplify]: iters left: 2 (255 enodes) 114.462 * * [simplify]: iters left: 1 (423 enodes) 114.603 * * [simplify]: Extracting #0: cost 1 inf + 0 114.603 * * [simplify]: Extracting #1: cost 7 inf + 0 114.603 * * [simplify]: Extracting #2: cost 12 inf + 1 114.603 * * [simplify]: Extracting #3: cost 33 inf + 166 114.604 * * [simplify]: Extracting #4: cost 105 inf + 249 114.604 * * [simplify]: Extracting #5: cost 155 inf + 673 114.606 * * [simplify]: Extracting #6: cost 116 inf + 5316 114.610 * * [simplify]: Extracting #7: cost 41 inf + 28518 114.619 * * [simplify]: Extracting #8: cost 4 inf + 59179 114.629 * * [simplify]: Extracting #9: cost 0 inf + 62980 114.648 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 114.649 * [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)))) 114.649 * * * * [progress]: [ 167 / 307 ] simplifiying candidate # 114.649 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 114.649 * * [simplify]: iters left: 6 (16 enodes) 114.665 * * [simplify]: iters left: 5 (67 enodes) 114.688 * * [simplify]: iters left: 4 (99 enodes) 114.717 * * [simplify]: iters left: 3 (140 enodes) 114.765 * * [simplify]: iters left: 2 (238 enodes) 114.822 * * [simplify]: iters left: 1 (417 enodes) 114.958 * * [simplify]: Extracting #0: cost 1 inf + 0 114.958 * * [simplify]: Extracting #1: cost 6 inf + 0 114.958 * * [simplify]: Extracting #2: cost 35 inf + 1 114.959 * * [simplify]: Extracting #3: cost 128 inf + 2 114.959 * * [simplify]: Extracting #4: cost 170 inf + 177 114.960 * * [simplify]: Extracting #5: cost 171 inf + 435 114.962 * * [simplify]: Extracting #6: cost 121 inf + 8504 114.969 * * [simplify]: Extracting #7: cost 55 inf + 22833 114.988 * * [simplify]: Extracting #8: cost 9 inf + 59372 115.011 * * [simplify]: Extracting #9: cost 0 inf + 66405 115.034 * * [simplify]: Extracting #10: cost 0 inf + 65473 115.058 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 115.059 * [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))))))) 115.059 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 115.059 * * [simplify]: iters left: 6 (15 enodes) 115.069 * * [simplify]: iters left: 5 (62 enodes) 115.089 * * [simplify]: iters left: 4 (99 enodes) 115.123 * * [simplify]: iters left: 3 (148 enodes) 115.160 * * [simplify]: iters left: 2 (265 enodes) 115.229 * * [simplify]: iters left: 1 (440 enodes) 115.392 * * [simplify]: Extracting #0: cost 1 inf + 0 115.392 * * [simplify]: Extracting #1: cost 7 inf + 0 115.392 * * [simplify]: Extracting #2: cost 13 inf + 1 115.393 * * [simplify]: Extracting #3: cost 36 inf + 84 115.393 * * [simplify]: Extracting #4: cost 121 inf + 167 115.397 * * [simplify]: Extracting #5: cost 159 inf + 1048 115.399 * * [simplify]: Extracting #6: cost 94 inf + 11034 115.404 * * [simplify]: Extracting #7: cost 39 inf + 30673 115.413 * * [simplify]: Extracting #8: cost 3 inf + 60612 115.433 * * [simplify]: Extracting #9: cost 0 inf + 62671 115.454 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 115.455 * [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 (/ k 2)))) (sqrt k)))) 115.455 * * * * [progress]: [ 168 / 307 ] simplifiying candidate # 115.455 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 115.455 * * [simplify]: iters left: 5 (6 enodes) 115.461 * * [simplify]: iters left: 4 (22 enodes) 115.465 * * [simplify]: iters left: 3 (24 enodes) 115.468 * * [simplify]: Extracting #0: cost 1 inf + 0 115.468 * * [simplify]: Extracting #1: cost 0 inf + 1 115.468 * [simplify]: Simplified to 1 115.468 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 115.468 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 115.468 * * [simplify]: iters left: 6 (14 enodes) 115.473 * * [simplify]: iters left: 5 (59 enodes) 115.484 * * [simplify]: iters left: 4 (103 enodes) 115.514 * * [simplify]: iters left: 3 (167 enodes) 115.583 * * [simplify]: iters left: 2 (328 enodes) 115.765 * * [simplify]: Extracting #0: cost 1 inf + 0 115.770 * * [simplify]: Extracting #1: cost 55 inf + 0 115.771 * * [simplify]: Extracting #2: cost 149 inf + 1 115.772 * * [simplify]: Extracting #3: cost 198 inf + 86 115.775 * * [simplify]: Extracting #4: cost 186 inf + 3407 115.779 * * [simplify]: Extracting #5: cost 145 inf + 9578 115.793 * * [simplify]: Extracting #6: cost 59 inf + 56043 115.816 * * [simplify]: Extracting #7: cost 0 inf + 100430 115.830 * * [simplify]: Extracting #8: cost 0 inf + 99146 115.843 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 115.843 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 115.843 * * * * [progress]: [ 169 / 307 ] simplifiying candidate # 115.844 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 115.844 * * [simplify]: iters left: 6 (16 enodes) 115.851 * * [simplify]: iters left: 5 (70 enodes) 115.876 * * [simplify]: iters left: 4 (112 enodes) 115.906 * * [simplify]: iters left: 3 (179 enodes) 115.958 * * [simplify]: iters left: 2 (339 enodes) 116.053 * * [simplify]: Extracting #0: cost 1 inf + 0 116.053 * * [simplify]: Extracting #1: cost 19 inf + 0 116.053 * * [simplify]: Extracting #2: cost 94 inf + 2 116.054 * * [simplify]: Extracting #3: cost 144 inf + 177 116.055 * * [simplify]: Extracting #4: cost 146 inf + 391 116.058 * * [simplify]: Extracting #5: cost 107 inf + 3697 116.065 * * [simplify]: Extracting #6: cost 39 inf + 24306 116.078 * * [simplify]: Extracting #7: cost 7 inf + 45010 116.097 * * [simplify]: Extracting #8: cost 0 inf + 51410 116.112 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 116.112 * [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)))))) 116.113 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 116.113 * * [simplify]: iters left: 6 (15 enodes) 116.122 * * [simplify]: iters left: 5 (65 enodes) 116.143 * * [simplify]: iters left: 4 (109 enodes) 116.180 * * [simplify]: iters left: 3 (183 enodes) 116.234 * * [simplify]: iters left: 2 (374 enodes) 116.383 * * [simplify]: Extracting #0: cost 1 inf + 0 116.384 * * [simplify]: Extracting #1: cost 42 inf + 0 116.384 * * [simplify]: Extracting #2: cost 133 inf + 1 116.386 * * [simplify]: Extracting #3: cost 186 inf + 45 116.388 * * [simplify]: Extracting #4: cost 175 inf + 3082 116.392 * * [simplify]: Extracting #5: cost 123 inf + 11441 116.409 * * [simplify]: Extracting #6: cost 38 inf + 60748 116.442 * * [simplify]: Extracting #7: cost 0 inf + 90611 116.458 * * [simplify]: Extracting #8: cost 0 inf + 90161 116.472 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 116.472 * [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)))) 116.473 * * * * [progress]: [ 170 / 307 ] simplifiying candidate # 116.473 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 116.473 * * [simplify]: iters left: 6 (13 enodes) 116.480 * * [simplify]: iters left: 5 (54 enodes) 116.499 * * [simplify]: iters left: 4 (90 enodes) 116.524 * * [simplify]: iters left: 3 (154 enodes) 116.567 * * [simplify]: iters left: 2 (313 enodes) 116.683 * * [simplify]: Extracting #0: cost 1 inf + 0 116.684 * * [simplify]: Extracting #1: cost 47 inf + 0 116.684 * * [simplify]: Extracting #2: cost 131 inf + 1 116.686 * * [simplify]: Extracting #3: cost 181 inf + 4 116.688 * * [simplify]: Extracting #4: cost 170 inf + 2699 116.691 * * [simplify]: Extracting #5: cost 131 inf + 8451 116.702 * * [simplify]: Extracting #6: cost 55 inf + 45476 116.723 * * [simplify]: Extracting #7: cost 1 inf + 82070 116.745 * * [simplify]: Extracting #8: cost 0 inf + 82815 116.771 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 116.771 * [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)))))) 116.771 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 116.771 * * [simplify]: iters left: 6 (13 enodes) 116.780 * * [simplify]: iters left: 5 (53 enodes) 116.799 * * [simplify]: iters left: 4 (89 enodes) 116.817 * * [simplify]: iters left: 3 (148 enodes) 116.852 * * [simplify]: iters left: 2 (312 enodes) 116.998 * * [simplify]: Extracting #0: cost 1 inf + 0 116.999 * * [simplify]: Extracting #1: cost 52 inf + 0 116.999 * * [simplify]: Extracting #2: cost 132 inf + 1 117.000 * * [simplify]: Extracting #3: cost 181 inf + 3 117.000 * * [simplify]: Extracting #4: cost 170 inf + 1290 117.003 * * [simplify]: Extracting #5: cost 115 inf + 19114 117.013 * * [simplify]: Extracting #6: cost 30 inf + 67930 117.026 * * [simplify]: Extracting #7: cost 0 inf + 86804 117.039 * * [simplify]: Extracting #8: cost 0 inf + 85647 117.068 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 117.068 * [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))))) 117.068 * * * * [progress]: [ 171 / 307 ] simplifiying candidate # 117.069 * [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)))))) 117.069 * * [simplify]: iters left: 6 (18 enodes) 117.079 * * [simplify]: iters left: 5 (75 enodes) 117.103 * * [simplify]: iters left: 4 (113 enodes) 117.139 * * [simplify]: iters left: 3 (172 enodes) 117.191 * * [simplify]: iters left: 2 (291 enodes) 117.276 * * [simplify]: iters left: 1 (479 enodes) 117.473 * * [simplify]: Extracting #0: cost 1 inf + 0 117.473 * * [simplify]: Extracting #1: cost 10 inf + 0 117.473 * * [simplify]: Extracting #2: cost 18 inf + 1 117.473 * * [simplify]: Extracting #3: cost 52 inf + 1 117.474 * * [simplify]: Extracting #4: cost 132 inf + 328 117.475 * * [simplify]: Extracting #5: cost 184 inf + 1286 117.477 * * [simplify]: Extracting #6: cost 117 inf + 12476 117.483 * * [simplify]: Extracting #7: cost 58 inf + 30087 117.501 * * [simplify]: Extracting #8: cost 11 inf + 71986 117.517 * * [simplify]: Extracting #9: cost 0 inf + 81605 117.530 * * [simplify]: Extracting #10: cost 0 inf + 81226 117.553 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 117.553 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 n) PI) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 117.554 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.554 * * [simplify]: iters left: 6 (16 enodes) 117.564 * * [simplify]: iters left: 5 (65 enodes) 117.585 * * [simplify]: iters left: 4 (101 enodes) 117.603 * * [simplify]: iters left: 3 (147 enodes) 117.637 * * [simplify]: iters left: 2 (258 enodes) 117.710 * * [simplify]: iters left: 1 (426 enodes) 117.907 * * [simplify]: Extracting #0: cost 1 inf + 0 117.907 * * [simplify]: Extracting #1: cost 7 inf + 0 117.907 * * [simplify]: Extracting #2: cost 12 inf + 1 117.908 * * [simplify]: Extracting #3: cost 40 inf + 1 117.908 * * [simplify]: Extracting #4: cost 112 inf + 247 117.910 * * [simplify]: Extracting #5: cost 166 inf + 1578 117.915 * * [simplify]: Extracting #6: cost 98 inf + 13736 117.933 * * [simplify]: Extracting #7: cost 17 inf + 51709 117.950 * * [simplify]: Extracting #8: cost 0 inf + 64267 117.963 * * [simplify]: Extracting #9: cost 0 inf + 64146 117.978 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 117.978 * [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))))) 117.978 * * * * [progress]: [ 172 / 307 ] simplifiying candidate # 117.978 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 117.978 * * [simplify]: iters left: 6 (17 enodes) 117.984 * * [simplify]: iters left: 5 (70 enodes) 117.997 * * [simplify]: iters left: 4 (107 enodes) 118.027 * * [simplify]: iters left: 3 (158 enodes) 118.060 * * [simplify]: iters left: 2 (263 enodes) 118.119 * * [simplify]: iters left: 1 (433 enodes) 118.297 * * [simplify]: Extracting #0: cost 1 inf + 0 118.297 * * [simplify]: Extracting #1: cost 7 inf + 0 118.297 * * [simplify]: Extracting #2: cost 13 inf + 1 118.297 * * [simplify]: Extracting #3: cost 43 inf + 1 118.298 * * [simplify]: Extracting #4: cost 130 inf + 125 118.299 * * [simplify]: Extracting #5: cost 184 inf + 668 118.304 * * [simplify]: Extracting #6: cost 129 inf + 7124 118.313 * * [simplify]: Extracting #7: cost 51 inf + 27953 118.332 * * [simplify]: Extracting #8: cost 11 inf + 58941 118.354 * * [simplify]: Extracting #9: cost 0 inf + 68039 118.376 * * [simplify]: Extracting #10: cost 0 inf + 67641 118.397 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 118.397 * [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))))))) 118.398 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 118.398 * * [simplify]: iters left: 6 (16 enodes) 118.406 * * [simplify]: iters left: 5 (65 enodes) 118.421 * * [simplify]: iters left: 4 (102 enodes) 118.438 * * [simplify]: iters left: 3 (148 enodes) 118.491 * * [simplify]: iters left: 2 (260 enodes) 118.560 * * [simplify]: iters left: 1 (422 enodes) 118.708 * * [simplify]: Extracting #0: cost 1 inf + 0 118.709 * * [simplify]: Extracting #1: cost 7 inf + 0 118.709 * * [simplify]: Extracting #2: cost 13 inf + 1 118.709 * * [simplify]: Extracting #3: cost 44 inf + 1 118.710 * * [simplify]: Extracting #4: cost 121 inf + 247 118.711 * * [simplify]: Extracting #5: cost 147 inf + 1370 118.716 * * [simplify]: Extracting #6: cost 85 inf + 13461 118.730 * * [simplify]: Extracting #7: cost 19 inf + 48332 118.750 * * [simplify]: Extracting #8: cost 0 inf + 63812 118.759 * * [simplify]: Extracting #9: cost 0 inf + 63653 118.768 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 118.768 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 118.769 * * * * [progress]: [ 173 / 307 ] simplifiying candidate # 118.769 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 118.769 * * [simplify]: iters left: 6 (8 enodes) 118.772 * * [simplify]: iters left: 5 (28 enodes) 118.777 * * [simplify]: iters left: 4 (30 enodes) 118.781 * * [simplify]: iters left: 3 (31 enodes) 118.789 * * [simplify]: Extracting #0: cost 1 inf + 0 118.790 * * [simplify]: Extracting #1: cost 4 inf + 0 118.790 * * [simplify]: Extracting #2: cost 5 inf + 1 118.790 * * [simplify]: Extracting #3: cost 7 inf + 1 118.790 * * [simplify]: Extracting #4: cost 3 inf + 165 118.790 * * [simplify]: Extracting #5: cost 0 inf + 490 118.790 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 118.790 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 118.791 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 118.791 * * [simplify]: iters left: 6 (15 enodes) 118.801 * * [simplify]: iters left: 5 (62 enodes) 118.821 * * [simplify]: iters left: 4 (102 enodes) 118.854 * * [simplify]: iters left: 3 (168 enodes) 118.903 * * [simplify]: iters left: 2 (350 enodes) 119.041 * * [simplify]: Extracting #0: cost 1 inf + 0 119.042 * * [simplify]: Extracting #1: cost 54 inf + 0 119.042 * * [simplify]: Extracting #2: cost 146 inf + 1 119.043 * * [simplify]: Extracting #3: cost 197 inf + 3 119.045 * * [simplify]: Extracting #4: cost 171 inf + 4479 119.051 * * [simplify]: Extracting #5: cost 128 inf + 16246 119.063 * * [simplify]: Extracting #6: cost 76 inf + 42231 119.089 * * [simplify]: Extracting #7: cost 2 inf + 100347 119.117 * * [simplify]: Extracting #8: cost 0 inf + 100098 119.134 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 119.134 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 119.134 * * * * [progress]: [ 174 / 307 ] simplifiying candidate # 119.135 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 119.135 * * [simplify]: iters left: 6 (17 enodes) 119.141 * * [simplify]: iters left: 5 (73 enodes) 119.155 * * [simplify]: iters left: 4 (117 enodes) 119.185 * * [simplify]: iters left: 3 (193 enodes) 119.260 * * [simplify]: iters left: 2 (376 enodes) 119.401 * * [simplify]: Extracting #0: cost 1 inf + 0 119.401 * * [simplify]: Extracting #1: cost 41 inf + 0 119.401 * * [simplify]: Extracting #2: cost 126 inf + 1 119.402 * * [simplify]: Extracting #3: cost 186 inf + 3 119.403 * * [simplify]: Extracting #4: cost 169 inf + 5154 119.412 * * [simplify]: Extracting #5: cost 64 inf + 49356 119.437 * * [simplify]: Extracting #6: cost 8 inf + 85043 119.464 * * [simplify]: Extracting #7: cost 0 inf + 90415 119.487 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 119.487 * [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)))))) 119.488 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 119.488 * * [simplify]: iters left: 6 (16 enodes) 119.494 * * [simplify]: iters left: 5 (68 enodes) 119.508 * * [simplify]: iters left: 4 (115 enodes) 119.540 * * [simplify]: iters left: 3 (196 enodes) 119.613 * * [simplify]: iters left: 2 (406 enodes) 119.768 * * [simplify]: Extracting #0: cost 1 inf + 0 119.769 * * [simplify]: Extracting #1: cost 40 inf + 0 119.769 * * [simplify]: Extracting #2: cost 120 inf + 1 119.769 * * [simplify]: Extracting #3: cost 181 inf + 3 119.770 * * [simplify]: Extracting #4: cost 183 inf + 719 119.773 * * [simplify]: Extracting #5: cost 125 inf + 15959 119.784 * * [simplify]: Extracting #6: cost 24 inf + 66997 119.800 * * [simplify]: Extracting #7: cost 0 inf + 85940 119.823 * * [simplify]: Extracting #8: cost 0 inf + 85860 119.836 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 119.836 * [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 k) 4)) (sqrt (sqrt k))))) 119.836 * * * * [progress]: [ 175 / 307 ] simplifiying candidate # 119.836 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 119.837 * * [simplify]: iters left: 6 (11 enodes) 119.841 * * [simplify]: iters left: 5 (48 enodes) 119.851 * * [simplify]: iters left: 4 (75 enodes) 119.865 * * [simplify]: iters left: 3 (125 enodes) 119.894 * * [simplify]: iters left: 2 (260 enodes) 119.980 * * [simplify]: Extracting #0: cost 1 inf + 0 119.980 * * [simplify]: Extracting #1: cost 21 inf + 0 119.981 * * [simplify]: Extracting #2: cost 86 inf + 3 119.981 * * [simplify]: Extracting #3: cost 129 inf + 7 119.982 * * [simplify]: Extracting #4: cost 121 inf + 1218 119.983 * * [simplify]: Extracting #5: cost 63 inf + 12318 119.988 * * [simplify]: Extracting #6: cost 20 inf + 30478 119.993 * * [simplify]: Extracting #7: cost 0 inf + 44620 120.002 * * [simplify]: Extracting #8: cost 0 inf + 44580 120.008 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 120.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 120.008 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 120.008 * * [simplify]: iters left: 6 (12 enodes) 120.013 * * [simplify]: iters left: 5 (50 enodes) 120.023 * * [simplify]: iters left: 4 (86 enodes) 120.043 * * [simplify]: iters left: 3 (149 enodes) 120.106 * * [simplify]: iters left: 2 (314 enodes) 120.254 * * [simplify]: Extracting #0: cost 1 inf + 0 120.254 * * [simplify]: Extracting #1: cost 47 inf + 0 120.254 * * [simplify]: Extracting #2: cost 129 inf + 1 120.255 * * [simplify]: Extracting #3: cost 174 inf + 127 120.256 * * [simplify]: Extracting #4: cost 168 inf + 1129 120.258 * * [simplify]: Extracting #5: cost 125 inf + 10926 120.264 * * [simplify]: Extracting #6: cost 44 inf + 52003 120.277 * * [simplify]: Extracting #7: cost 0 inf + 83738 120.300 * * [simplify]: Extracting #8: cost 0 inf + 80065 120.323 * * [simplify]: Extracting #9: cost 0 inf + 79279 120.344 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 120.344 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 120.345 * * * * [progress]: [ 176 / 307 ] simplifiying candidate # 120.345 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 120.345 * * [simplify]: iters left: 6 (16 enodes) 120.356 * * [simplify]: iters left: 5 (69 enodes) 120.374 * * [simplify]: iters left: 4 (102 enodes) 120.391 * * [simplify]: iters left: 3 (147 enodes) 120.438 * * [simplify]: iters left: 2 (246 enodes) 120.525 * * [simplify]: iters left: 1 (417 enodes) 120.725 * * [simplify]: Extracting #0: cost 1 inf + 0 120.725 * * [simplify]: Extracting #1: cost 6 inf + 0 120.725 * * [simplify]: Extracting #2: cost 9 inf + 1 120.725 * * [simplify]: Extracting #3: cost 37 inf + 1 120.726 * * [simplify]: Extracting #4: cost 114 inf + 2 120.727 * * [simplify]: Extracting #5: cost 167 inf + 176 120.728 * * [simplify]: Extracting #6: cost 135 inf + 4411 120.732 * * [simplify]: Extracting #7: cost 67 inf + 23063 120.741 * * [simplify]: Extracting #8: cost 6 inf + 65378 120.759 * * [simplify]: Extracting #9: cost 0 inf + 70038 120.775 * * [simplify]: Extracting #10: cost 0 inf + 69907 120.787 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 120.787 * [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))))))) 120.787 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 120.787 * * [simplify]: iters left: 6 (15 enodes) 120.792 * * [simplify]: iters left: 5 (62 enodes) 120.815 * * [simplify]: iters left: 4 (98 enodes) 120.843 * * [simplify]: iters left: 3 (144 enodes) 120.871 * * [simplify]: iters left: 2 (255 enodes) 120.940 * * [simplify]: iters left: 1 (423 enodes) 121.126 * * [simplify]: Extracting #0: cost 1 inf + 0 121.126 * * [simplify]: Extracting #1: cost 7 inf + 0 121.126 * * [simplify]: Extracting #2: cost 12 inf + 1 121.126 * * [simplify]: Extracting #3: cost 33 inf + 166 121.126 * * [simplify]: Extracting #4: cost 105 inf + 249 121.127 * * [simplify]: Extracting #5: cost 155 inf + 673 121.129 * * [simplify]: Extracting #6: cost 116 inf + 5316 121.134 * * [simplify]: Extracting #7: cost 41 inf + 28518 121.146 * * [simplify]: Extracting #8: cost 4 inf + 59179 121.155 * * [simplify]: Extracting #9: cost 0 inf + 62980 121.164 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 121.164 * [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)))) 121.165 * * * * [progress]: [ 177 / 307 ] simplifiying candidate # 121.165 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.165 * * [simplify]: iters left: 6 (15 enodes) 121.170 * * [simplify]: iters left: 5 (64 enodes) 121.192 * * [simplify]: iters left: 4 (96 enodes) 121.221 * * [simplify]: iters left: 3 (140 enodes) 121.249 * * [simplify]: iters left: 2 (243 enodes) 121.294 * * [simplify]: iters left: 1 (420 enodes) 121.434 * * [simplify]: Extracting #0: cost 1 inf + 0 121.434 * * [simplify]: Extracting #1: cost 6 inf + 0 121.435 * * [simplify]: Extracting #2: cost 34 inf + 1 121.435 * * [simplify]: Extracting #3: cost 119 inf + 2 121.435 * * [simplify]: Extracting #4: cost 169 inf + 178 121.436 * * [simplify]: Extracting #5: cost 172 inf + 393 121.438 * * [simplify]: Extracting #6: cost 123 inf + 6468 121.441 * * [simplify]: Extracting #7: cost 52 inf + 20885 121.449 * * [simplify]: Extracting #8: cost 11 inf + 51464 121.464 * * [simplify]: Extracting #9: cost 0 inf + 61994 121.477 * * [simplify]: Extracting #10: cost 0 inf + 60684 121.488 * * [simplify]: Extracting #11: cost 0 inf + 59747 121.505 * [simplify]: Simplified to (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 121.505 * [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))))))) 121.506 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 121.506 * * [simplify]: iters left: 6 (15 enodes) 121.515 * * [simplify]: iters left: 5 (62 enodes) 121.526 * * [simplify]: iters left: 4 (99 enodes) 121.543 * * [simplify]: iters left: 3 (148 enodes) 121.588 * * [simplify]: iters left: 2 (265 enodes) 121.661 * * [simplify]: iters left: 1 (440 enodes) 121.867 * * [simplify]: Extracting #0: cost 1 inf + 0 121.867 * * [simplify]: Extracting #1: cost 7 inf + 0 121.867 * * [simplify]: Extracting #2: cost 13 inf + 1 121.868 * * [simplify]: Extracting #3: cost 36 inf + 84 121.868 * * [simplify]: Extracting #4: cost 121 inf + 167 121.870 * * [simplify]: Extracting #5: cost 159 inf + 1048 121.875 * * [simplify]: Extracting #6: cost 94 inf + 11034 121.885 * * [simplify]: Extracting #7: cost 39 inf + 30673 121.901 * * [simplify]: Extracting #8: cost 3 inf + 60612 121.912 * * [simplify]: Extracting #9: cost 0 inf + 62671 121.923 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 121.923 * [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 (/ k 2)))) (sqrt k)))) 121.923 * * * * [progress]: [ 178 / 307 ] simplifiying candidate # 121.924 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 121.924 * * [simplify]: iters left: 5 (5 enodes) 121.929 * * [simplify]: iters left: 4 (17 enodes) 121.931 * * [simplify]: iters left: 3 (19 enodes) 121.934 * * [simplify]: Extracting #0: cost 1 inf + 0 121.934 * * [simplify]: Extracting #1: cost 0 inf + 1 121.934 * [simplify]: Simplified to 1 121.934 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 121.934 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 121.934 * * [simplify]: iters left: 6 (14 enodes) 121.942 * * [simplify]: iters left: 5 (59 enodes) 121.966 * * [simplify]: iters left: 4 (103 enodes) 122.000 * * [simplify]: iters left: 3 (167 enodes) 122.044 * * [simplify]: iters left: 2 (328 enodes) 122.201 * * [simplify]: Extracting #0: cost 1 inf + 0 122.201 * * [simplify]: Extracting #1: cost 55 inf + 0 122.202 * * [simplify]: Extracting #2: cost 149 inf + 1 122.204 * * [simplify]: Extracting #3: cost 198 inf + 86 122.206 * * [simplify]: Extracting #4: cost 186 inf + 3407 122.210 * * [simplify]: Extracting #5: cost 145 inf + 9578 122.224 * * [simplify]: Extracting #6: cost 59 inf + 56043 122.249 * * [simplify]: Extracting #7: cost 0 inf + 100430 122.276 * * [simplify]: Extracting #8: cost 0 inf + 99146 122.302 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 122.302 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 122.302 * * * * [progress]: [ 179 / 307 ] simplifiying candidate # 122.304 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.304 * * [simplify]: iters left: 6 (15 enodes) 122.314 * * [simplify]: iters left: 5 (67 enodes) 122.328 * * [simplify]: iters left: 4 (104 enodes) 122.358 * * [simplify]: iters left: 3 (163 enodes) 122.418 * * [simplify]: iters left: 2 (306 enodes) 122.539 * * [simplify]: Extracting #0: cost 1 inf + 0 122.539 * * [simplify]: Extracting #1: cost 26 inf + 0 122.539 * * [simplify]: Extracting #2: cost 102 inf + 2 122.540 * * [simplify]: Extracting #3: cost 152 inf + 176 122.541 * * [simplify]: Extracting #4: cost 148 inf + 475 122.542 * * [simplify]: Extracting #5: cost 92 inf + 7681 122.546 * * [simplify]: Extracting #6: cost 46 inf + 24527 122.563 * * [simplify]: Extracting #7: cost 6 inf + 54153 122.579 * * [simplify]: Extracting #8: cost 0 inf + 57963 122.594 * * [simplify]: Extracting #9: cost 0 inf + 56782 122.602 * * [simplify]: Extracting #10: cost 0 inf + 56388 122.611 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 4)) 122.611 * [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)))))) 122.611 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 122.611 * * [simplify]: iters left: 6 (15 enodes) 122.616 * * [simplify]: iters left: 5 (65 enodes) 122.636 * * [simplify]: iters left: 4 (109 enodes) 122.673 * * [simplify]: iters left: 3 (183 enodes) 122.752 * * [simplify]: iters left: 2 (374 enodes) 122.907 * * [simplify]: Extracting #0: cost 1 inf + 0 122.908 * * [simplify]: Extracting #1: cost 42 inf + 0 122.908 * * [simplify]: Extracting #2: cost 133 inf + 1 122.909 * * [simplify]: Extracting #3: cost 186 inf + 45 122.910 * * [simplify]: Extracting #4: cost 175 inf + 3082 122.912 * * [simplify]: Extracting #5: cost 123 inf + 11441 122.920 * * [simplify]: Extracting #6: cost 38 inf + 60748 122.934 * * [simplify]: Extracting #7: cost 0 inf + 90611 122.948 * * [simplify]: Extracting #8: cost 0 inf + 90161 122.962 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 122.962 * [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)))) 122.963 * * * * [progress]: [ 180 / 307 ] simplifiying candidate # 122.963 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 122.963 * * [simplify]: iters left: 5 (4 enodes) 122.968 * * [simplify]: iters left: 4 (14 enodes) 122.970 * * [simplify]: iters left: 3 (16 enodes) 122.971 * * [simplify]: Extracting #0: cost 1 inf + 0 122.972 * * [simplify]: Extracting #1: cost 0 inf + 1 122.972 * [simplify]: Simplified to 1 122.972 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 122.972 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 122.972 * * [simplify]: iters left: 6 (14 enodes) 122.978 * * [simplify]: iters left: 5 (59 enodes) 123.001 * * [simplify]: iters left: 4 (103 enodes) 123.021 * * [simplify]: iters left: 3 (167 enodes) 123.071 * * [simplify]: iters left: 2 (328 enodes) 123.205 * * [simplify]: Extracting #0: cost 1 inf + 0 123.206 * * [simplify]: Extracting #1: cost 55 inf + 0 123.206 * * [simplify]: Extracting #2: cost 149 inf + 1 123.208 * * [simplify]: Extracting #3: cost 198 inf + 86 123.210 * * [simplify]: Extracting #4: cost 186 inf + 3407 123.214 * * [simplify]: Extracting #5: cost 145 inf + 9578 123.225 * * [simplify]: Extracting #6: cost 59 inf + 56043 123.237 * * [simplify]: Extracting #7: cost 0 inf + 100430 123.258 * * [simplify]: Extracting #8: cost 0 inf + 99146 123.285 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 123.285 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 123.285 * * * * [progress]: [ 181 / 307 ] simplifiying candidate # 123.285 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 123.285 * * [simplify]: iters left: 5 (6 enodes) 123.290 * * [simplify]: iters left: 4 (22 enodes) 123.297 * * [simplify]: iters left: 3 (24 enodes) 123.307 * * [simplify]: iters left: 2 (25 enodes) 123.313 * * [simplify]: iters left: 1 (26 enodes) 123.321 * * [simplify]: Extracting #0: cost 1 inf + 0 123.321 * * [simplify]: Extracting #1: cost 4 inf + 0 123.321 * * [simplify]: Extracting #2: cost 5 inf + 1 123.321 * * [simplify]: Extracting #3: cost 2 inf + 125 123.321 * * [simplify]: Extracting #4: cost 0 inf + 248 123.321 * [simplify]: Simplified to (/ 1 (sqrt k)) 123.321 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 123.322 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 123.322 * * [simplify]: iters left: 6 (13 enodes) 123.330 * * [simplify]: iters left: 5 (56 enodes) 123.349 * * [simplify]: iters left: 4 (91 enodes) 123.371 * * [simplify]: iters left: 3 (141 enodes) 123.405 * * [simplify]: iters left: 2 (247 enodes) 123.492 * * [simplify]: Extracting #0: cost 1 inf + 0 123.492 * * [simplify]: Extracting #1: cost 26 inf + 0 123.493 * * [simplify]: Extracting #2: cost 95 inf + 2 123.494 * * [simplify]: Extracting #3: cost 134 inf + 174 123.495 * * [simplify]: Extracting #4: cost 126 inf + 763 123.499 * * [simplify]: Extracting #5: cost 77 inf + 8136 123.505 * * [simplify]: Extracting #6: cost 51 inf + 16205 123.515 * * [simplify]: Extracting #7: cost 4 inf + 47643 123.530 * * [simplify]: Extracting #8: cost 0 inf + 49683 123.544 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 123.544 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 123.545 * * * * [progress]: [ 182 / 307 ] simplifiying candidate # 123.545 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 123.545 * * [simplify]: iters left: 6 (14 enodes) 123.555 * * [simplify]: iters left: 5 (57 enodes) 123.567 * * [simplify]: iters left: 4 (96 enodes) 123.591 * * [simplify]: iters left: 3 (168 enodes) 123.627 * * [simplify]: iters left: 2 (305 enodes) 123.745 * * [simplify]: Extracting #0: cost 1 inf + 0 123.745 * * [simplify]: Extracting #1: cost 40 inf + 0 123.746 * * [simplify]: Extracting #2: cost 111 inf + 1 123.747 * * [simplify]: Extracting #3: cost 116 inf + 132 123.748 * * [simplify]: Extracting #4: cost 110 inf + 385 123.752 * * [simplify]: Extracting #5: cost 65 inf + 17986 123.764 * * [simplify]: Extracting #6: cost 8 inf + 54824 123.778 * * [simplify]: Extracting #7: cost 0 inf + 59893 123.792 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 123.792 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 123.793 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 123.793 * * [simplify]: iters left: 6 (11 enodes) 123.799 * * [simplify]: iters left: 5 (42 enodes) 123.810 * * [simplify]: iters left: 4 (66 enodes) 123.821 * * [simplify]: iters left: 3 (101 enodes) 123.839 * * [simplify]: iters left: 2 (171 enodes) 123.904 * * [simplify]: iters left: 1 (319 enodes) 124.034 * * [simplify]: Extracting #0: cost 1 inf + 0 124.034 * * [simplify]: Extracting #1: cost 6 inf + 0 124.034 * * [simplify]: Extracting #2: cost 42 inf + 1 124.035 * * [simplify]: Extracting #3: cost 131 inf + 2 124.035 * * [simplify]: Extracting #4: cost 158 inf + 554 124.037 * * [simplify]: Extracting #5: cost 94 inf + 13919 124.048 * * [simplify]: Extracting #6: cost 16 inf + 58388 124.061 * * [simplify]: Extracting #7: cost 0 inf + 71124 124.071 * * [simplify]: Extracting #8: cost 0 inf + 69491 124.082 * * [simplify]: Extracting #9: cost 0 inf + 69450 124.094 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 124.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 124.094 * * * * [progress]: [ 183 / 307 ] simplifiying candidate # 124.094 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 124.095 * * [simplify]: iters left: 6 (16 enodes) 124.104 * * [simplify]: iters left: 5 (65 enodes) 124.123 * * [simplify]: iters left: 4 (101 enodes) 124.140 * * [simplify]: iters left: 3 (147 enodes) 124.184 * * [simplify]: iters left: 2 (249 enodes) 124.240 * * [simplify]: iters left: 1 (431 enodes) 124.427 * * [simplify]: Extracting #0: cost 1 inf + 0 124.427 * * [simplify]: Extracting #1: cost 7 inf + 0 124.427 * * [simplify]: Extracting #2: cost 11 inf + 1 124.427 * * [simplify]: Extracting #3: cost 16 inf + 1 124.427 * * [simplify]: Extracting #4: cost 52 inf + 1 124.428 * * [simplify]: Extracting #5: cost 143 inf + 85 124.430 * * [simplify]: Extracting #6: cost 190 inf + 1627 124.438 * * [simplify]: Extracting #7: cost 91 inf + 27839 124.454 * * [simplify]: Extracting #8: cost 14 inf + 69592 124.469 * * [simplify]: Extracting #9: cost 0 inf + 82705 124.484 * * [simplify]: Extracting #10: cost 0 inf + 82563 124.507 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 124.507 * [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))))))) 124.508 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.508 * * [simplify]: iters left: 6 (15 enodes) 124.513 * * [simplify]: iters left: 5 (60 enodes) 124.524 * * [simplify]: iters left: 4 (91 enodes) 124.540 * * [simplify]: iters left: 3 (135 enodes) 124.578 * * [simplify]: iters left: 2 (237 enodes) 124.639 * * [simplify]: iters left: 1 (420 enodes) 124.829 * * [simplify]: Extracting #0: cost 1 inf + 0 124.829 * * [simplify]: Extracting #1: cost 4 inf + 0 124.829 * * [simplify]: Extracting #2: cost 5 inf + 1 124.829 * * [simplify]: Extracting #3: cost 10 inf + 1 124.830 * * [simplify]: Extracting #4: cost 43 inf + 1 124.830 * * [simplify]: Extracting #5: cost 130 inf + 85 124.831 * * [simplify]: Extracting #6: cost 179 inf + 1456 124.834 * * [simplify]: Extracting #7: cost 113 inf + 15570 124.841 * * [simplify]: Extracting #8: cost 34 inf + 53966 124.857 * * [simplify]: Extracting #9: cost 0 inf + 79090 124.881 * * [simplify]: Extracting #10: cost 0 inf + 77601 124.907 * * [simplify]: Extracting #11: cost 0 inf + 77520 124.930 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 124.930 * [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))))))) 124.931 * * * * [progress]: [ 184 / 307 ] simplifiying candidate # 124.931 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 124.931 * * [simplify]: iters left: 6 (15 enodes) 124.940 * * [simplify]: iters left: 5 (60 enodes) 124.960 * * [simplify]: iters left: 4 (91 enodes) 124.988 * * [simplify]: iters left: 3 (135 enodes) 125.037 * * [simplify]: iters left: 2 (237 enodes) 125.123 * * [simplify]: iters left: 1 (420 enodes) 125.296 * * [simplify]: Extracting #0: cost 1 inf + 0 125.296 * * [simplify]: Extracting #1: cost 4 inf + 0 125.296 * * [simplify]: Extracting #2: cost 5 inf + 1 125.296 * * [simplify]: Extracting #3: cost 10 inf + 1 125.296 * * [simplify]: Extracting #4: cost 43 inf + 1 125.296 * * [simplify]: Extracting #5: cost 130 inf + 85 125.297 * * [simplify]: Extracting #6: cost 179 inf + 1456 125.301 * * [simplify]: Extracting #7: cost 113 inf + 15450 125.315 * * [simplify]: Extracting #8: cost 34 inf + 53806 125.339 * * [simplify]: Extracting #9: cost 0 inf + 78930 125.360 * * [simplify]: Extracting #10: cost 0 inf + 77441 125.371 * * [simplify]: Extracting #11: cost 0 inf + 77360 125.386 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 125.386 * [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))))))) 125.386 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 125.386 * * [simplify]: iters left: 6 (15 enodes) 125.391 * * [simplify]: iters left: 5 (60 enodes) 125.406 * * [simplify]: iters left: 4 (91 enodes) 125.421 * * [simplify]: iters left: 3 (135 enodes) 125.450 * * [simplify]: iters left: 2 (237 enodes) 125.535 * * [simplify]: iters left: 1 (420 enodes) 125.760 * * [simplify]: Extracting #0: cost 1 inf + 0 125.760 * * [simplify]: Extracting #1: cost 4 inf + 0 125.760 * * [simplify]: Extracting #2: cost 5 inf + 1 125.760 * * [simplify]: Extracting #3: cost 10 inf + 1 125.760 * * [simplify]: Extracting #4: cost 43 inf + 1 125.760 * * [simplify]: Extracting #5: cost 130 inf + 85 125.761 * * [simplify]: Extracting #6: cost 179 inf + 1456 125.764 * * [simplify]: Extracting #7: cost 113 inf + 15450 125.771 * * [simplify]: Extracting #8: cost 34 inf + 53806 125.785 * * [simplify]: Extracting #9: cost 0 inf + 78930 125.809 * * [simplify]: Extracting #10: cost 0 inf + 77441 125.826 * * [simplify]: Extracting #11: cost 0 inf + 77360 125.840 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 125.840 * [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))))))) 125.840 * * * * [progress]: [ 185 / 307 ] simplifiying candidate # 125.840 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 125.840 * * [simplify]: iters left: 6 (13 enodes) 125.845 * * [simplify]: iters left: 5 (54 enodes) 125.855 * * [simplify]: iters left: 4 (101 enodes) 125.874 * * [simplify]: iters left: 3 (201 enodes) 125.961 * * [simplify]: iters left: 2 (498 enodes) 126.362 * * [simplify]: Extracting #0: cost 1 inf + 0 126.363 * * [simplify]: Extracting #1: cost 99 inf + 0 126.365 * * [simplify]: Extracting #2: cost 291 inf + 1 126.368 * * [simplify]: Extracting #3: cost 354 inf + 4 126.372 * * [simplify]: Extracting #4: cost 335 inf + 5272 126.380 * * [simplify]: Extracting #5: cost 273 inf + 26691 126.416 * * [simplify]: Extracting #6: cost 83 inf + 153317 126.469 * * [simplify]: Extracting #7: cost 1 inf + 201821 126.504 * * [simplify]: Extracting #8: cost 0 inf + 198414 126.561 * * [simplify]: Extracting #9: cost 0 inf + 198021 126.609 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 126.609 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 126.609 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 126.609 * * [simplify]: iters left: 6 (13 enodes) 126.614 * * [simplify]: iters left: 5 (53 enodes) 126.624 * * [simplify]: iters left: 4 (89 enodes) 126.646 * * [simplify]: iters left: 3 (148 enodes) 126.698 * * [simplify]: iters left: 2 (312 enodes) 126.847 * * [simplify]: Extracting #0: cost 1 inf + 0 126.847 * * [simplify]: Extracting #1: cost 52 inf + 0 126.848 * * [simplify]: Extracting #2: cost 132 inf + 1 126.849 * * [simplify]: Extracting #3: cost 181 inf + 3 126.851 * * [simplify]: Extracting #4: cost 170 inf + 1410 126.856 * * [simplify]: Extracting #5: cost 115 inf + 19554 126.876 * * [simplify]: Extracting #6: cost 30 inf + 70130 126.902 * * [simplify]: Extracting #7: cost 0 inf + 90044 126.925 * * [simplify]: Extracting #8: cost 0 inf + 88887 126.940 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 126.940 * [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))))) 126.941 * * * * [progress]: [ 186 / 307 ] simplifiying candidate # 126.941 * [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)))))) 126.941 * * [simplify]: iters left: 6 (18 enodes) 126.950 * * [simplify]: iters left: 5 (77 enodes) 126.968 * * [simplify]: iters left: 4 (138 enodes) 126.999 * * [simplify]: iters left: 3 (228 enodes) 127.068 * * [simplify]: iters left: 2 (412 enodes) 127.224 * * [simplify]: Extracting #0: cost 1 inf + 0 127.225 * * [simplify]: Extracting #1: cost 23 inf + 0 127.225 * * [simplify]: Extracting #2: cost 39 inf + 1 127.225 * * [simplify]: Extracting #3: cost 54 inf + 1 127.226 * * [simplify]: Extracting #4: cost 87 inf + 1821 127.228 * * [simplify]: Extracting #5: cost 109 inf + 3339 127.237 * * [simplify]: Extracting #6: cost 55 inf + 20606 127.250 * * [simplify]: Extracting #7: cost 8 inf + 35761 127.265 * * [simplify]: Extracting #8: cost 0 inf + 41607 127.280 * * [simplify]: Extracting #9: cost 0 inf + 41175 127.290 * * [simplify]: Extracting #10: cost 0 inf + 40783 127.298 * [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)))) 127.298 * [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))))))) 127.298 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.299 * * [simplify]: iters left: 6 (16 enodes) 127.304 * * [simplify]: iters left: 5 (65 enodes) 127.315 * * [simplify]: iters left: 4 (101 enodes) 127.340 * * [simplify]: iters left: 3 (147 enodes) 127.377 * * [simplify]: iters left: 2 (258 enodes) 127.468 * * [simplify]: iters left: 1 (426 enodes) 127.660 * * [simplify]: Extracting #0: cost 1 inf + 0 127.660 * * [simplify]: Extracting #1: cost 7 inf + 0 127.661 * * [simplify]: Extracting #2: cost 12 inf + 1 127.661 * * [simplify]: Extracting #3: cost 40 inf + 1 127.661 * * [simplify]: Extracting #4: cost 112 inf + 327 127.662 * * [simplify]: Extracting #5: cost 166 inf + 1738 127.665 * * [simplify]: Extracting #6: cost 98 inf + 13976 127.674 * * [simplify]: Extracting #7: cost 17 inf + 52029 127.686 * * [simplify]: Extracting #8: cost 0 inf + 64587 127.702 * * [simplify]: Extracting #9: cost 0 inf + 64466 127.714 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 127.714 * [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))))) 127.715 * * * * [progress]: [ 187 / 307 ] simplifiying candidate # 127.715 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.715 * * [simplify]: iters left: 6 (17 enodes) 127.720 * * [simplify]: iters left: 5 (70 enodes) 127.734 * * [simplify]: iters left: 4 (115 enodes) 127.768 * * [simplify]: iters left: 3 (183 enodes) 127.821 * * [simplify]: iters left: 2 (326 enodes) 127.954 * * [simplify]: Extracting #0: cost 1 inf + 0 127.954 * * [simplify]: Extracting #1: cost 17 inf + 0 127.955 * * [simplify]: Extracting #2: cost 28 inf + 1 127.955 * * [simplify]: Extracting #3: cost 46 inf + 1 127.955 * * [simplify]: Extracting #4: cost 93 inf + 1175 127.956 * * [simplify]: Extracting #5: cost 96 inf + 3672 127.958 * * [simplify]: Extracting #6: cost 47 inf + 14667 127.963 * * [simplify]: Extracting #7: cost 8 inf + 29629 127.969 * * [simplify]: Extracting #8: cost 0 inf + 35483 127.975 * * [simplify]: Extracting #9: cost 0 inf + 34827 127.981 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 127.981 * [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))))))) 127.981 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 127.981 * * [simplify]: iters left: 6 (16 enodes) 127.987 * * [simplify]: iters left: 5 (65 enodes) 128.008 * * [simplify]: iters left: 4 (102 enodes) 128.040 * * [simplify]: iters left: 3 (148 enodes) 128.081 * * [simplify]: iters left: 2 (260 enodes) 128.150 * * [simplify]: iters left: 1 (422 enodes) 128.312 * * [simplify]: Extracting #0: cost 1 inf + 0 128.312 * * [simplify]: Extracting #1: cost 7 inf + 0 128.312 * * [simplify]: Extracting #2: cost 13 inf + 1 128.312 * * [simplify]: Extracting #3: cost 44 inf + 1 128.313 * * [simplify]: Extracting #4: cost 121 inf + 327 128.314 * * [simplify]: Extracting #5: cost 147 inf + 1530 128.320 * * [simplify]: Extracting #6: cost 85 inf + 13741 128.333 * * [simplify]: Extracting #7: cost 19 inf + 48652 128.343 * * [simplify]: Extracting #8: cost 0 inf + 64132 128.353 * * [simplify]: Extracting #9: cost 0 inf + 63973 128.362 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 128.363 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 128.363 * * * * [progress]: [ 188 / 307 ] simplifiying candidate # 128.363 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 128.363 * * [simplify]: iters left: 6 (8 enodes) 128.369 * * [simplify]: iters left: 5 (28 enodes) 128.379 * * [simplify]: iters left: 4 (52 enodes) 128.395 * * [simplify]: iters left: 3 (77 enodes) 128.422 * * [simplify]: iters left: 2 (87 enodes) 128.437 * * [simplify]: Extracting #0: cost 1 inf + 0 128.437 * * [simplify]: Extracting #1: cost 6 inf + 0 128.437 * * [simplify]: Extracting #2: cost 9 inf + 1 128.437 * * [simplify]: Extracting #3: cost 11 inf + 1 128.437 * * [simplify]: Extracting #4: cost 1 inf + 1214 128.438 * * [simplify]: Extracting #5: cost 0 inf + 1376 128.439 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 128.439 * [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)))))) 128.439 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 128.439 * * [simplify]: iters left: 6 (15 enodes) 128.449 * * [simplify]: iters left: 5 (62 enodes) 128.470 * * [simplify]: iters left: 4 (102 enodes) 128.504 * * [simplify]: iters left: 3 (168 enodes) 128.579 * * [simplify]: iters left: 2 (350 enodes) 128.710 * * [simplify]: Extracting #0: cost 1 inf + 0 128.710 * * [simplify]: Extracting #1: cost 54 inf + 0 128.713 * * [simplify]: Extracting #2: cost 146 inf + 1 128.714 * * [simplify]: Extracting #3: cost 197 inf + 3 128.715 * * [simplify]: Extracting #4: cost 171 inf + 4719 128.718 * * [simplify]: Extracting #5: cost 128 inf + 16846 128.724 * * [simplify]: Extracting #6: cost 76 inf + 43831 128.737 * * [simplify]: Extracting #7: cost 2 inf + 103667 128.758 * * [simplify]: Extracting #8: cost 0 inf + 103498 128.787 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 128.787 * [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))))) 128.787 * * * * [progress]: [ 189 / 307 ] simplifiying candidate # 128.787 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 128.787 * * [simplify]: iters left: 6 (17 enodes) 128.798 * * [simplify]: iters left: 5 (73 enodes) 128.822 * * [simplify]: iters left: 4 (128 enodes) 128.867 * * [simplify]: iters left: 3 (244 enodes) 128.931 * * [simplify]: Extracting #0: cost 1 inf + 0 128.931 * * [simplify]: Extracting #1: cost 42 inf + 0 128.932 * * [simplify]: Extracting #2: cost 115 inf + 1 128.933 * * [simplify]: Extracting #3: cost 155 inf + 2 128.934 * * [simplify]: Extracting #4: cost 150 inf + 1149 128.940 * * [simplify]: Extracting #5: cost 75 inf + 23642 128.958 * * [simplify]: Extracting #6: cost 5 inf + 63704 128.979 * * [simplify]: Extracting #7: cost 0 inf + 66168 128.998 * * [simplify]: Extracting #8: cost 0 inf + 66009 129.010 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 129.010 * [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)))))) 129.010 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 129.011 * * [simplify]: iters left: 6 (16 enodes) 129.016 * * [simplify]: iters left: 5 (68 enodes) 129.028 * * [simplify]: iters left: 4 (115 enodes) 129.062 * * [simplify]: iters left: 3 (196 enodes) 129.145 * * [simplify]: iters left: 2 (406 enodes) 129.342 * * [simplify]: Extracting #0: cost 1 inf + 0 129.343 * * [simplify]: Extracting #1: cost 40 inf + 0 129.343 * * [simplify]: Extracting #2: cost 120 inf + 1 129.345 * * [simplify]: Extracting #3: cost 181 inf + 3 129.346 * * [simplify]: Extracting #4: cost 183 inf + 759 129.351 * * [simplify]: Extracting #5: cost 125 inf + 16359 129.372 * * [simplify]: Extracting #6: cost 24 inf + 69037 129.395 * * [simplify]: Extracting #7: cost 0 inf + 88860 129.408 * * [simplify]: Extracting #8: cost 0 inf + 88780 129.431 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 129.431 * [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 k) 4)) (cbrt (sqrt k))))) 129.431 * * * * [progress]: [ 190 / 307 ] simplifiying candidate # 129.431 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 129.432 * * [simplify]: iters left: 6 (13 enodes) 129.441 * * [simplify]: iters left: 5 (53 enodes) 129.456 * * [simplify]: iters left: 4 (89 enodes) 129.472 * * [simplify]: iters left: 3 (148 enodes) 129.512 * * [simplify]: iters left: 2 (312 enodes) 129.640 * * [simplify]: Extracting #0: cost 1 inf + 0 129.641 * * [simplify]: Extracting #1: cost 52 inf + 0 129.641 * * [simplify]: Extracting #2: cost 134 inf + 1 129.643 * * [simplify]: Extracting #3: cost 182 inf + 4 129.645 * * [simplify]: Extracting #4: cost 163 inf + 3678 129.650 * * [simplify]: Extracting #5: cost 117 inf + 13668 129.662 * * [simplify]: Extracting #6: cost 44 inf + 50975 129.683 * * [simplify]: Extracting #7: cost 0 inf + 84472 129.705 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 129.705 * [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)))))) 129.705 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 129.705 * * [simplify]: iters left: 6 (13 enodes) 129.713 * * [simplify]: iters left: 5 (53 enodes) 129.734 * * [simplify]: iters left: 4 (89 enodes) 129.750 * * [simplify]: iters left: 3 (148 enodes) 129.805 * * [simplify]: iters left: 2 (312 enodes) 129.954 * * [simplify]: Extracting #0: cost 1 inf + 0 129.954 * * [simplify]: Extracting #1: cost 52 inf + 0 129.954 * * [simplify]: Extracting #2: cost 132 inf + 1 129.955 * * [simplify]: Extracting #3: cost 181 inf + 3 129.956 * * [simplify]: Extracting #4: cost 170 inf + 1490 129.959 * * [simplify]: Extracting #5: cost 115 inf + 19634 129.968 * * [simplify]: Extracting #6: cost 30 inf + 70210 129.989 * * [simplify]: Extracting #7: cost 0 inf + 90124 130.014 * * [simplify]: Extracting #8: cost 0 inf + 88967 130.040 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 130.040 * [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))))) 130.040 * * * * [progress]: [ 191 / 307 ] simplifiying candidate # 130.041 * [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)))))) 130.041 * * [simplify]: iters left: 6 (18 enodes) 130.052 * * [simplify]: iters left: 5 (74 enodes) 130.080 * * [simplify]: iters left: 4 (116 enodes) 130.107 * * [simplify]: iters left: 3 (177 enodes) 130.153 * * [simplify]: iters left: 2 (297 enodes) 130.224 * * [simplify]: iters left: 1 (498 enodes) 130.453 * * [simplify]: Extracting #0: cost 1 inf + 0 130.453 * * [simplify]: Extracting #1: cost 10 inf + 0 130.453 * * [simplify]: Extracting #2: cost 19 inf + 1 130.453 * * [simplify]: Extracting #3: cost 51 inf + 1 130.453 * * [simplify]: Extracting #4: cost 132 inf + 528 130.454 * * [simplify]: Extracting #5: cost 180 inf + 1562 130.457 * * [simplify]: Extracting #6: cost 122 inf + 11269 130.462 * * [simplify]: Extracting #7: cost 53 inf + 30872 130.473 * * [simplify]: Extracting #8: cost 0 inf + 76466 130.488 * * [simplify]: Extracting #9: cost 0 inf + 76175 130.499 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 130.499 * [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))))))) 130.500 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.500 * * [simplify]: iters left: 6 (16 enodes) 130.505 * * [simplify]: iters left: 5 (65 enodes) 130.516 * * [simplify]: iters left: 4 (101 enodes) 130.533 * * [simplify]: iters left: 3 (147 enodes) 130.567 * * [simplify]: iters left: 2 (258 enodes) 130.632 * * [simplify]: iters left: 1 (426 enodes) 130.817 * * [simplify]: Extracting #0: cost 1 inf + 0 130.817 * * [simplify]: Extracting #1: cost 7 inf + 0 130.817 * * [simplify]: Extracting #2: cost 12 inf + 1 130.818 * * [simplify]: Extracting #3: cost 40 inf + 1 130.818 * * [simplify]: Extracting #4: cost 112 inf + 407 130.820 * * [simplify]: Extracting #5: cost 166 inf + 1818 130.825 * * [simplify]: Extracting #6: cost 98 inf + 14056 130.843 * * [simplify]: Extracting #7: cost 17 inf + 52109 130.867 * * [simplify]: Extracting #8: cost 0 inf + 64667 130.892 * * [simplify]: Extracting #9: cost 0 inf + 64546 130.916 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 130.916 * [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))))) 130.916 * * * * [progress]: [ 192 / 307 ] simplifiying candidate # 130.917 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 130.917 * * [simplify]: iters left: 6 (17 enodes) 130.931 * * [simplify]: iters left: 5 (69 enodes) 130.945 * * [simplify]: iters left: 4 (106 enodes) 130.963 * * [simplify]: iters left: 3 (156 enodes) 131.015 * * [simplify]: iters left: 2 (270 enodes) 131.086 * * [simplify]: iters left: 1 (443 enodes) 131.258 * * [simplify]: Extracting #0: cost 1 inf + 0 131.259 * * [simplify]: Extracting #1: cost 7 inf + 0 131.259 * * [simplify]: Extracting #2: cost 14 inf + 1 131.259 * * [simplify]: Extracting #3: cost 45 inf + 1 131.260 * * [simplify]: Extracting #4: cost 126 inf + 407 131.261 * * [simplify]: Extracting #5: cost 166 inf + 1401 131.266 * * [simplify]: Extracting #6: cost 103 inf + 9971 131.277 * * [simplify]: Extracting #7: cost 26 inf + 45000 131.289 * * [simplify]: Extracting #8: cost 0 inf + 65269 131.300 * * [simplify]: Extracting #9: cost 0 inf + 64937 131.319 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 131.320 * [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))))))) 131.320 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 131.320 * * [simplify]: iters left: 6 (16 enodes) 131.330 * * [simplify]: iters left: 5 (65 enodes) 131.357 * * [simplify]: iters left: 4 (102 enodes) 131.388 * * [simplify]: iters left: 3 (148 enodes) 131.441 * * [simplify]: iters left: 2 (260 enodes) 131.525 * * [simplify]: iters left: 1 (422 enodes) 131.683 * * [simplify]: Extracting #0: cost 1 inf + 0 131.683 * * [simplify]: Extracting #1: cost 7 inf + 0 131.683 * * [simplify]: Extracting #2: cost 13 inf + 1 131.683 * * [simplify]: Extracting #3: cost 44 inf + 1 131.684 * * [simplify]: Extracting #4: cost 121 inf + 407 131.686 * * [simplify]: Extracting #5: cost 147 inf + 1610 131.691 * * [simplify]: Extracting #6: cost 85 inf + 13821 131.704 * * [simplify]: Extracting #7: cost 19 inf + 48732 131.727 * * [simplify]: Extracting #8: cost 0 inf + 64212 131.746 * * [simplify]: Extracting #9: cost 0 inf + 64053 131.765 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 131.765 * [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 (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 131.765 * * * * [progress]: [ 193 / 307 ] simplifiying candidate # 131.765 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 131.765 * * [simplify]: iters left: 6 (8 enodes) 131.771 * * [simplify]: iters left: 5 (26 enodes) 131.778 * * [simplify]: iters left: 4 (32 enodes) 131.783 * * [simplify]: Extracting #0: cost 1 inf + 0 131.783 * * [simplify]: Extracting #1: cost 4 inf + 0 131.783 * * [simplify]: Extracting #2: cost 6 inf + 1 131.783 * * [simplify]: Extracting #3: cost 9 inf + 1 131.783 * * [simplify]: Extracting #4: cost 4 inf + 487 131.783 * * [simplify]: Extracting #5: cost 0 inf + 972 131.783 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 131.783 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 131.784 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 131.784 * * [simplify]: iters left: 6 (15 enodes) 131.789 * * [simplify]: iters left: 5 (62 enodes) 131.800 * * [simplify]: iters left: 4 (102 enodes) 131.831 * * [simplify]: iters left: 3 (168 enodes) 131.889 * * [simplify]: iters left: 2 (350 enodes) 132.004 * * [simplify]: Extracting #0: cost 1 inf + 0 132.004 * * [simplify]: Extracting #1: cost 54 inf + 0 132.005 * * [simplify]: Extracting #2: cost 146 inf + 1 132.006 * * [simplify]: Extracting #3: cost 197 inf + 3 132.013 * * [simplify]: Extracting #4: cost 171 inf + 4799 132.019 * * [simplify]: Extracting #5: cost 128 inf + 16926 132.031 * * [simplify]: Extracting #6: cost 76 inf + 43911 132.056 * * [simplify]: Extracting #7: cost 2 inf + 103747 132.071 * * [simplify]: Extracting #8: cost 0 inf + 103578 132.085 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 132.085 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 132.085 * * * * [progress]: [ 194 / 307 ] simplifiying candidate # 132.086 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.086 * * [simplify]: iters left: 6 (17 enodes) 132.096 * * [simplify]: iters left: 5 (72 enodes) 132.120 * * [simplify]: iters left: 4 (116 enodes) 132.160 * * [simplify]: iters left: 3 (191 enodes) 132.201 * * [simplify]: iters left: 2 (384 enodes) 132.345 * * [simplify]: Extracting #0: cost 1 inf + 0 132.346 * * [simplify]: Extracting #1: cost 46 inf + 0 132.346 * * [simplify]: Extracting #2: cost 140 inf + 1 132.347 * * [simplify]: Extracting #3: cost 200 inf + 3 132.348 * * [simplify]: Extracting #4: cost 199 inf + 1367 132.350 * * [simplify]: Extracting #5: cost 140 inf + 11531 132.360 * * [simplify]: Extracting #6: cost 26 inf + 83968 132.374 * * [simplify]: Extracting #7: cost 1 inf + 100610 132.388 * * [simplify]: Extracting #8: cost 0 inf + 100662 132.415 * [simplify]: Simplified to (/ (pow (* 2 (* n PI)) (/ (- 1 k) 4)) (fabs (cbrt k))) 132.415 * [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)))))) 132.416 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 132.416 * * [simplify]: iters left: 6 (16 enodes) 132.422 * * [simplify]: iters left: 5 (68 enodes) 132.434 * * [simplify]: iters left: 4 (115 enodes) 132.459 * * [simplify]: iters left: 3 (196 enodes) 132.531 * * [simplify]: iters left: 2 (406 enodes) 132.682 * * [simplify]: Extracting #0: cost 1 inf + 0 132.682 * * [simplify]: Extracting #1: cost 40 inf + 0 132.683 * * [simplify]: Extracting #2: cost 120 inf + 1 132.684 * * [simplify]: Extracting #3: cost 181 inf + 3 132.685 * * [simplify]: Extracting #4: cost 183 inf + 839 132.688 * * [simplify]: Extracting #5: cost 125 inf + 16439 132.700 * * [simplify]: Extracting #6: cost 24 inf + 69117 132.714 * * [simplify]: Extracting #7: cost 0 inf + 88940 132.740 * * [simplify]: Extracting #8: cost 0 inf + 88860 132.761 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 132.761 * [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 k) 4)) (sqrt (cbrt k))))) 132.761 * * * * [progress]: [ 195 / 307 ] simplifiying candidate # 132.761 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 132.761 * * [simplify]: iters left: 6 (12 enodes) 132.766 * * [simplify]: iters left: 5 (49 enodes) 132.775 * * [simplify]: iters left: 4 (85 enodes) 132.798 * * [simplify]: iters left: 3 (148 enodes) 132.865 * * [simplify]: iters left: 2 (320 enodes) 133.011 * * [simplify]: Extracting #0: cost 1 inf + 0 133.011 * * [simplify]: Extracting #1: cost 53 inf + 0 133.012 * * [simplify]: Extracting #2: cost 143 inf + 1 133.012 * * [simplify]: Extracting #3: cost 189 inf + 4 133.013 * * [simplify]: Extracting #4: cost 177 inf + 2791 133.016 * * [simplify]: Extracting #5: cost 124 inf + 13681 133.024 * * [simplify]: Extracting #6: cost 54 inf + 47057 133.037 * * [simplify]: Extracting #7: cost 0 inf + 87363 133.060 * * [simplify]: Extracting #8: cost 0 inf + 86679 133.079 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 133.079 * [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)))))) 133.079 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 133.079 * * [simplify]: iters left: 6 (13 enodes) 133.084 * * [simplify]: iters left: 5 (53 enodes) 133.094 * * [simplify]: iters left: 4 (89 enodes) 133.113 * * [simplify]: iters left: 3 (148 enodes) 133.178 * * [simplify]: iters left: 2 (312 enodes) 133.290 * * [simplify]: Extracting #0: cost 1 inf + 0 133.290 * * [simplify]: Extracting #1: cost 52 inf + 0 133.290 * * [simplify]: Extracting #2: cost 132 inf + 1 133.291 * * [simplify]: Extracting #3: cost 181 inf + 3 133.292 * * [simplify]: Extracting #4: cost 170 inf + 1290 133.297 * * [simplify]: Extracting #5: cost 115 inf + 19114 133.321 * * [simplify]: Extracting #6: cost 30 inf + 67930 133.348 * * [simplify]: Extracting #7: cost 0 inf + 86804 133.373 * * [simplify]: Extracting #8: cost 0 inf + 85647 133.398 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 133.398 * [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))))) 133.399 * * * * [progress]: [ 196 / 307 ] simplifiying candidate # 133.399 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 133.399 * * [simplify]: iters left: 6 (17 enodes) 133.409 * * [simplify]: iters left: 5 (70 enodes) 133.422 * * [simplify]: iters left: 4 (112 enodes) 133.447 * * [simplify]: iters left: 3 (172 enodes) 133.489 * * [simplify]: iters left: 2 (292 enodes) 133.582 * * [simplify]: iters left: 1 (483 enodes) 133.744 * * [simplify]: Extracting #0: cost 1 inf + 0 133.744 * * [simplify]: Extracting #1: cost 10 inf + 0 133.744 * * [simplify]: Extracting #2: cost 18 inf + 1 133.744 * * [simplify]: Extracting #3: cost 47 inf + 1 133.745 * * [simplify]: Extracting #4: cost 119 inf + 247 133.749 * * [simplify]: Extracting #5: cost 168 inf + 1452 133.752 * * [simplify]: Extracting #6: cost 102 inf + 20504 133.762 * * [simplify]: Extracting #7: cost 19 inf + 53002 133.789 * * [simplify]: Extracting #8: cost 0 inf + 68358 133.819 * * [simplify]: Extracting #9: cost 0 inf + 67324 133.847 * * [simplify]: Extracting #10: cost 0 inf + 66567 133.876 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 133.876 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 133.876 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 133.876 * * [simplify]: iters left: 6 (16 enodes) 133.886 * * [simplify]: iters left: 5 (65 enodes) 133.907 * * [simplify]: iters left: 4 (101 enodes) 133.942 * * [simplify]: iters left: 3 (147 enodes) 133.973 * * [simplify]: iters left: 2 (258 enodes) 134.060 * * [simplify]: iters left: 1 (426 enodes) 134.240 * * [simplify]: Extracting #0: cost 1 inf + 0 134.240 * * [simplify]: Extracting #1: cost 7 inf + 0 134.240 * * [simplify]: Extracting #2: cost 12 inf + 1 134.240 * * [simplify]: Extracting #3: cost 40 inf + 1 134.241 * * [simplify]: Extracting #4: cost 112 inf + 247 134.243 * * [simplify]: Extracting #5: cost 166 inf + 1578 134.248 * * [simplify]: Extracting #6: cost 98 inf + 13736 134.270 * * [simplify]: Extracting #7: cost 17 inf + 51709 134.295 * * [simplify]: Extracting #8: cost 0 inf + 64267 134.319 * * [simplify]: Extracting #9: cost 0 inf + 64146 134.343 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 134.343 * [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))))) 134.343 * * * * [progress]: [ 197 / 307 ] simplifiying candidate # 134.344 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 134.344 * * [simplify]: iters left: 6 (16 enodes) 134.353 * * [simplify]: iters left: 5 (65 enodes) 134.374 * * [simplify]: iters left: 4 (102 enodes) 134.407 * * [simplify]: iters left: 3 (148 enodes) 134.462 * * [simplify]: iters left: 2 (260 enodes) 134.528 * * [simplify]: iters left: 1 (422 enodes) 134.673 * * [simplify]: Extracting #0: cost 1 inf + 0 134.673 * * [simplify]: Extracting #1: cost 7 inf + 0 134.673 * * [simplify]: Extracting #2: cost 13 inf + 1 134.673 * * [simplify]: Extracting #3: cost 44 inf + 1 134.674 * * [simplify]: Extracting #4: cost 121 inf + 247 134.674 * * [simplify]: Extracting #5: cost 147 inf + 1370 134.677 * * [simplify]: Extracting #6: cost 85 inf + 13461 134.684 * * [simplify]: Extracting #7: cost 19 inf + 48332 134.693 * * [simplify]: Extracting #8: cost 0 inf + 63812 134.703 * * [simplify]: Extracting #9: cost 0 inf + 63653 134.722 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 134.722 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 134.722 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 134.722 * * [simplify]: iters left: 6 (16 enodes) 134.736 * * [simplify]: iters left: 5 (65 enodes) 134.752 * * [simplify]: iters left: 4 (102 enodes) 134.769 * * [simplify]: iters left: 3 (148 enodes) 134.809 * * [simplify]: iters left: 2 (260 enodes) 134.873 * * [simplify]: iters left: 1 (422 enodes) 135.015 * * [simplify]: Extracting #0: cost 1 inf + 0 135.015 * * [simplify]: Extracting #1: cost 7 inf + 0 135.015 * * [simplify]: Extracting #2: cost 13 inf + 1 135.016 * * [simplify]: Extracting #3: cost 44 inf + 1 135.016 * * [simplify]: Extracting #4: cost 121 inf + 247 135.018 * * [simplify]: Extracting #5: cost 147 inf + 1370 135.027 * * [simplify]: Extracting #6: cost 85 inf + 13461 135.041 * * [simplify]: Extracting #7: cost 19 inf + 48332 135.060 * * [simplify]: Extracting #8: cost 0 inf + 63812 135.080 * * [simplify]: Extracting #9: cost 0 inf + 63653 135.099 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 135.099 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 135.099 * * * * [progress]: [ 198 / 307 ] simplifiying candidate # 135.099 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 135.099 * * [simplify]: iters left: 6 (7 enodes) 135.104 * * [simplify]: iters left: 5 (23 enodes) 135.112 * * [simplify]: iters left: 4 (27 enodes) 135.119 * * [simplify]: iters left: 3 (28 enodes) 135.126 * * [simplify]: Extracting #0: cost 1 inf + 0 135.127 * * [simplify]: Extracting #1: cost 4 inf + 0 135.127 * * [simplify]: Extracting #2: cost 5 inf + 1 135.127 * * [simplify]: Extracting #3: cost 7 inf + 1 135.127 * * [simplify]: Extracting #4: cost 2 inf + 287 135.127 * * [simplify]: Extracting #5: cost 0 inf + 490 135.127 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 135.127 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 135.128 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 135.128 * * [simplify]: iters left: 6 (15 enodes) 135.137 * * [simplify]: iters left: 5 (62 enodes) 135.157 * * [simplify]: iters left: 4 (102 enodes) 135.194 * * [simplify]: iters left: 3 (168 enodes) 135.237 * * [simplify]: iters left: 2 (350 enodes) 135.374 * * [simplify]: Extracting #0: cost 1 inf + 0 135.374 * * [simplify]: Extracting #1: cost 54 inf + 0 135.375 * * [simplify]: Extracting #2: cost 146 inf + 1 135.376 * * [simplify]: Extracting #3: cost 197 inf + 3 135.379 * * [simplify]: Extracting #4: cost 171 inf + 4479 135.385 * * [simplify]: Extracting #5: cost 128 inf + 16246 135.397 * * [simplify]: Extracting #6: cost 76 inf + 42231 135.413 * * [simplify]: Extracting #7: cost 2 inf + 100347 135.427 * * [simplify]: Extracting #8: cost 0 inf + 100098 135.451 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 135.451 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 135.451 * * * * [progress]: [ 199 / 307 ] simplifiying candidate # 135.452 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 135.452 * * [simplify]: iters left: 6 (16 enodes) 135.459 * * [simplify]: iters left: 5 (68 enodes) 135.473 * * [simplify]: iters left: 4 (115 enodes) 135.502 * * [simplify]: iters left: 3 (196 enodes) 135.584 * * [simplify]: iters left: 2 (406 enodes) 135.720 * * [simplify]: Extracting #0: cost 1 inf + 0 135.720 * * [simplify]: Extracting #1: cost 40 inf + 0 135.721 * * [simplify]: Extracting #2: cost 120 inf + 1 135.722 * * [simplify]: Extracting #3: cost 181 inf + 3 135.723 * * [simplify]: Extracting #4: cost 183 inf + 719 135.728 * * [simplify]: Extracting #5: cost 125 inf + 15959 135.740 * * [simplify]: Extracting #6: cost 24 inf + 66997 135.754 * * [simplify]: Extracting #7: cost 0 inf + 85940 135.780 * * [simplify]: Extracting #8: cost 0 inf + 85860 135.795 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 135.795 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 135.795 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 135.795 * * [simplify]: iters left: 6 (16 enodes) 135.801 * * [simplify]: iters left: 5 (68 enodes) 135.814 * * [simplify]: iters left: 4 (115 enodes) 135.854 * * [simplify]: iters left: 3 (196 enodes) 135.941 * * [simplify]: iters left: 2 (406 enodes) 136.127 * * [simplify]: Extracting #0: cost 1 inf + 0 136.127 * * [simplify]: Extracting #1: cost 40 inf + 0 136.128 * * [simplify]: Extracting #2: cost 120 inf + 1 136.129 * * [simplify]: Extracting #3: cost 181 inf + 3 136.131 * * [simplify]: Extracting #4: cost 183 inf + 719 136.135 * * [simplify]: Extracting #5: cost 125 inf + 15959 136.155 * * [simplify]: Extracting #6: cost 24 inf + 66997 136.174 * * [simplify]: Extracting #7: cost 0 inf + 85940 136.189 * * [simplify]: Extracting #8: cost 0 inf + 85860 136.216 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 136.217 * [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 k) 4)) (sqrt (sqrt k))))) 136.217 * * * * [progress]: [ 200 / 307 ] simplifiying candidate # 136.217 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 136.217 * * [simplify]: iters left: 6 (10 enodes) 136.224 * * [simplify]: iters left: 5 (43 enodes) 136.239 * * [simplify]: iters left: 4 (66 enodes) 136.265 * * [simplify]: iters left: 3 (113 enodes) 136.309 * * [simplify]: iters left: 2 (235 enodes) 136.410 * * [simplify]: Extracting #0: cost 1 inf + 0 136.410 * * [simplify]: Extracting #1: cost 28 inf + 0 136.410 * * [simplify]: Extracting #2: cost 91 inf + 3 136.410 * * [simplify]: Extracting #3: cost 133 inf + 6 136.411 * * [simplify]: Extracting #4: cost 129 inf + 721 136.413 * * [simplify]: Extracting #5: cost 67 inf + 12509 136.417 * * [simplify]: Extracting #6: cost 16 inf + 36000 136.423 * * [simplify]: Extracting #7: cost 0 inf + 47177 136.429 * * [simplify]: Extracting #8: cost 0 inf + 46522 136.435 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 136.435 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 136.435 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 136.435 * * [simplify]: iters left: 6 (12 enodes) 136.444 * * [simplify]: iters left: 5 (50 enodes) 136.461 * * [simplify]: iters left: 4 (86 enodes) 136.489 * * [simplify]: iters left: 3 (149 enodes) 136.550 * * [simplify]: iters left: 2 (314 enodes) 136.701 * * [simplify]: Extracting #0: cost 1 inf + 0 136.701 * * [simplify]: Extracting #1: cost 47 inf + 0 136.702 * * [simplify]: Extracting #2: cost 129 inf + 1 136.703 * * [simplify]: Extracting #3: cost 174 inf + 127 136.705 * * [simplify]: Extracting #4: cost 168 inf + 1129 136.709 * * [simplify]: Extracting #5: cost 125 inf + 10926 136.720 * * [simplify]: Extracting #6: cost 44 inf + 52003 136.733 * * [simplify]: Extracting #7: cost 0 inf + 83738 136.744 * * [simplify]: Extracting #8: cost 0 inf + 80065 136.764 * * [simplify]: Extracting #9: cost 0 inf + 79279 136.786 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 136.786 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 136.786 * * * * [progress]: [ 201 / 307 ] simplifiying candidate # 136.787 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 136.787 * * [simplify]: iters left: 6 (15 enodes) 136.796 * * [simplify]: iters left: 5 (64 enodes) 136.813 * * [simplify]: iters left: 4 (102 enodes) 136.831 * * [simplify]: iters left: 3 (153 enodes) 136.870 * * [simplify]: iters left: 2 (243 enodes) 136.920 * * [simplify]: iters left: 1 (429 enodes) 137.098 * * [simplify]: Extracting #0: cost 1 inf + 0 137.098 * * [simplify]: Extracting #1: cost 6 inf + 0 137.098 * * [simplify]: Extracting #2: cost 9 inf + 1 137.098 * * [simplify]: Extracting #3: cost 38 inf + 1 137.098 * * [simplify]: Extracting #4: cost 117 inf + 2 137.099 * * [simplify]: Extracting #5: cost 169 inf + 176 137.100 * * [simplify]: Extracting #6: cost 170 inf + 602 137.102 * * [simplify]: Extracting #7: cost 106 inf + 10550 137.107 * * [simplify]: Extracting #8: cost 49 inf + 30252 137.119 * * [simplify]: Extracting #9: cost 5 inf + 64404 137.134 * * [simplify]: Extracting #10: cost 0 inf + 68558 137.146 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 137.146 * [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))))))) 137.147 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 137.147 * * [simplify]: iters left: 6 (15 enodes) 137.153 * * [simplify]: iters left: 5 (62 enodes) 137.173 * * [simplify]: iters left: 4 (98 enodes) 137.204 * * [simplify]: iters left: 3 (144 enodes) 137.247 * * [simplify]: iters left: 2 (255 enodes) 137.324 * * [simplify]: iters left: 1 (423 enodes) 137.477 * * [simplify]: Extracting #0: cost 1 inf + 0 137.477 * * [simplify]: Extracting #1: cost 7 inf + 0 137.477 * * [simplify]: Extracting #2: cost 12 inf + 1 137.477 * * [simplify]: Extracting #3: cost 33 inf + 166 137.478 * * [simplify]: Extracting #4: cost 105 inf + 249 137.479 * * [simplify]: Extracting #5: cost 155 inf + 673 137.483 * * [simplify]: Extracting #6: cost 116 inf + 5316 137.491 * * [simplify]: Extracting #7: cost 41 inf + 28518 137.509 * * [simplify]: Extracting #8: cost 4 inf + 59179 137.527 * * [simplify]: Extracting #9: cost 0 inf + 62980 137.546 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 137.546 * [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)))) 137.546 * * * * [progress]: [ 202 / 307 ] simplifiying candidate # 137.547 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 137.547 * * [simplify]: iters left: 6 (14 enodes) 137.556 * * [simplify]: iters left: 5 (59 enodes) 137.575 * * [simplify]: iters left: 4 (93 enodes) 137.608 * * [simplify]: iters left: 3 (136 enodes) 137.650 * * [simplify]: iters left: 2 (219 enodes) 137.702 * * [simplify]: iters left: 1 (399 enodes) 137.847 * * [simplify]: Extracting #0: cost 1 inf + 0 137.847 * * [simplify]: Extracting #1: cost 6 inf + 0 137.848 * * [simplify]: Extracting #2: cost 37 inf + 1 137.848 * * [simplify]: Extracting #3: cost 124 inf + 2 137.849 * * [simplify]: Extracting #4: cost 172 inf + 177 137.849 * * [simplify]: Extracting #5: cost 160 inf + 1381 137.853 * * [simplify]: Extracting #6: cost 63 inf + 24582 137.864 * * [simplify]: Extracting #7: cost 5 inf + 56065 137.880 * * [simplify]: Extracting #8: cost 0 inf + 57719 137.895 * * [simplify]: Extracting #9: cost 0 inf + 56894 137.910 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 137.910 * [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))))))) 137.910 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 137.910 * * [simplify]: iters left: 6 (15 enodes) 137.916 * * [simplify]: iters left: 5 (62 enodes) 137.927 * * [simplify]: iters left: 4 (99 enodes) 137.951 * * [simplify]: iters left: 3 (148 enodes) 138.007 * * [simplify]: iters left: 2 (265 enodes) 138.059 * * [simplify]: iters left: 1 (440 enodes) 138.263 * * [simplify]: Extracting #0: cost 1 inf + 0 138.263 * * [simplify]: Extracting #1: cost 7 inf + 0 138.263 * * [simplify]: Extracting #2: cost 13 inf + 1 138.263 * * [simplify]: Extracting #3: cost 36 inf + 84 138.264 * * [simplify]: Extracting #4: cost 121 inf + 167 138.265 * * [simplify]: Extracting #5: cost 159 inf + 1048 138.267 * * [simplify]: Extracting #6: cost 94 inf + 11034 138.272 * * [simplify]: Extracting #7: cost 39 inf + 30673 138.281 * * [simplify]: Extracting #8: cost 3 inf + 60612 138.292 * * [simplify]: Extracting #9: cost 0 inf + 62671 138.315 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 138.315 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 138.315 * * * * [progress]: [ 203 / 307 ] simplifiying candidate # 138.316 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 138.316 * * [simplify]: iters left: 5 (4 enodes) 138.323 * * [simplify]: iters left: 4 (14 enodes) 138.326 * * [simplify]: iters left: 3 (16 enodes) 138.329 * * [simplify]: Extracting #0: cost 1 inf + 0 138.329 * * [simplify]: Extracting #1: cost 0 inf + 1 138.330 * [simplify]: Simplified to 1 138.330 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 138.330 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 138.330 * * [simplify]: iters left: 6 (14 enodes) 138.339 * * [simplify]: iters left: 5 (59 enodes) 138.359 * * [simplify]: iters left: 4 (103 enodes) 138.393 * * [simplify]: iters left: 3 (167 enodes) 138.435 * * [simplify]: iters left: 2 (328 enodes) 138.601 * * [simplify]: Extracting #0: cost 1 inf + 0 138.601 * * [simplify]: Extracting #1: cost 55 inf + 0 138.602 * * [simplify]: Extracting #2: cost 149 inf + 1 138.602 * * [simplify]: Extracting #3: cost 198 inf + 86 138.603 * * [simplify]: Extracting #4: cost 186 inf + 3407 138.605 * * [simplify]: Extracting #5: cost 145 inf + 9578 138.612 * * [simplify]: Extracting #6: cost 59 inf + 56043 138.626 * * [simplify]: Extracting #7: cost 0 inf + 100430 138.656 * * [simplify]: Extracting #8: cost 0 inf + 99146 138.671 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 138.671 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 138.671 * * * * [progress]: [ 204 / 307 ] simplifiying candidate # 138.671 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 138.671 * * [simplify]: iters left: 6 (14 enodes) 138.677 * * [simplify]: iters left: 5 (62 enodes) 138.689 * * [simplify]: iters left: 4 (103 enodes) 138.710 * * [simplify]: iters left: 3 (170 enodes) 138.770 * * [simplify]: iters left: 2 (312 enodes) 138.862 * * [simplify]: Extracting #0: cost 1 inf + 0 138.863 * * [simplify]: Extracting #1: cost 25 inf + 0 138.863 * * [simplify]: Extracting #2: cost 99 inf + 2 138.864 * * [simplify]: Extracting #3: cost 148 inf + 176 138.865 * * [simplify]: Extracting #4: cost 145 inf + 724 138.868 * * [simplify]: Extracting #5: cost 93 inf + 6774 138.872 * * [simplify]: Extracting #6: cost 30 inf + 31330 138.879 * * [simplify]: Extracting #7: cost 0 inf + 52043 138.887 * * [simplify]: Extracting #8: cost 0 inf + 51741 138.896 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 138.896 * [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)))))) 138.896 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 138.897 * * [simplify]: iters left: 6 (15 enodes) 138.906 * * [simplify]: iters left: 5 (65 enodes) 138.928 * * [simplify]: iters left: 4 (109 enodes) 138.957 * * [simplify]: iters left: 3 (183 enodes) 139.013 * * [simplify]: iters left: 2 (374 enodes) 139.146 * * [simplify]: Extracting #0: cost 1 inf + 0 139.146 * * [simplify]: Extracting #1: cost 42 inf + 0 139.146 * * [simplify]: Extracting #2: cost 133 inf + 1 139.147 * * [simplify]: Extracting #3: cost 186 inf + 45 139.149 * * [simplify]: Extracting #4: cost 175 inf + 3082 139.154 * * [simplify]: Extracting #5: cost 123 inf + 11441 139.166 * * [simplify]: Extracting #6: cost 38 inf + 60748 139.180 * * [simplify]: Extracting #7: cost 0 inf + 90611 139.194 * * [simplify]: Extracting #8: cost 0 inf + 90161 139.218 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 139.219 * [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)))) 139.219 * * * * [progress]: [ 205 / 307 ] simplifiying candidate # 139.219 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 139.219 * * [simplify]: iters left: 6 (12 enodes) 139.227 * * [simplify]: iters left: 5 (49 enodes) 139.244 * * [simplify]: iters left: 4 (85 enodes) 139.266 * * [simplify]: iters left: 3 (148 enodes) 139.314 * * [simplify]: iters left: 2 (320 enodes) 139.452 * * [simplify]: Extracting #0: cost 1 inf + 0 139.453 * * [simplify]: Extracting #1: cost 53 inf + 0 139.454 * * [simplify]: Extracting #2: cost 143 inf + 1 139.455 * * [simplify]: Extracting #3: cost 189 inf + 4 139.457 * * [simplify]: Extracting #4: cost 177 inf + 2791 139.462 * * [simplify]: Extracting #5: cost 124 inf + 13681 139.474 * * [simplify]: Extracting #6: cost 54 inf + 47057 139.487 * * [simplify]: Extracting #7: cost 0 inf + 87363 139.499 * * [simplify]: Extracting #8: cost 0 inf + 86679 139.515 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 139.515 * [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)))))) 139.516 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 139.516 * * [simplify]: iters left: 6 (13 enodes) 139.525 * * [simplify]: iters left: 5 (53 enodes) 139.543 * * [simplify]: iters left: 4 (89 enodes) 139.561 * * [simplify]: iters left: 3 (148 enodes) 139.606 * * [simplify]: iters left: 2 (312 enodes) 139.742 * * [simplify]: Extracting #0: cost 1 inf + 0 139.742 * * [simplify]: Extracting #1: cost 52 inf + 0 139.743 * * [simplify]: Extracting #2: cost 132 inf + 1 139.744 * * [simplify]: Extracting #3: cost 181 inf + 3 139.745 * * [simplify]: Extracting #4: cost 170 inf + 1290 139.750 * * [simplify]: Extracting #5: cost 115 inf + 19114 139.768 * * [simplify]: Extracting #6: cost 30 inf + 67930 139.781 * * [simplify]: Extracting #7: cost 0 inf + 86804 139.797 * * [simplify]: Extracting #8: cost 0 inf + 85647 139.823 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 139.824 * [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))))) 139.824 * * * * [progress]: [ 206 / 307 ] simplifiying candidate # 139.824 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 139.824 * * [simplify]: iters left: 6 (17 enodes) 139.834 * * [simplify]: iters left: 5 (70 enodes) 139.853 * * [simplify]: iters left: 4 (112 enodes) 139.875 * * [simplify]: iters left: 3 (172 enodes) 139.930 * * [simplify]: iters left: 2 (292 enodes) 140.012 * * [simplify]: iters left: 1 (483 enodes) 140.182 * * [simplify]: Extracting #0: cost 1 inf + 0 140.182 * * [simplify]: Extracting #1: cost 10 inf + 0 140.182 * * [simplify]: Extracting #2: cost 18 inf + 1 140.182 * * [simplify]: Extracting #3: cost 47 inf + 1 140.183 * * [simplify]: Extracting #4: cost 119 inf + 247 140.185 * * [simplify]: Extracting #5: cost 168 inf + 1452 140.191 * * [simplify]: Extracting #6: cost 102 inf + 20504 140.208 * * [simplify]: Extracting #7: cost 19 inf + 53002 140.235 * * [simplify]: Extracting #8: cost 0 inf + 68358 140.265 * * [simplify]: Extracting #9: cost 0 inf + 67324 140.282 * * [simplify]: Extracting #10: cost 0 inf + 66567 140.300 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k)))) 140.300 * [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))))))) 140.300 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.301 * * [simplify]: iters left: 6 (16 enodes) 140.310 * * [simplify]: iters left: 5 (65 enodes) 140.324 * * [simplify]: iters left: 4 (101 enodes) 140.341 * * [simplify]: iters left: 3 (147 enodes) 140.377 * * [simplify]: iters left: 2 (258 enodes) 140.440 * * [simplify]: iters left: 1 (426 enodes) 140.584 * * [simplify]: Extracting #0: cost 1 inf + 0 140.584 * * [simplify]: Extracting #1: cost 7 inf + 0 140.584 * * [simplify]: Extracting #2: cost 12 inf + 1 140.585 * * [simplify]: Extracting #3: cost 40 inf + 1 140.585 * * [simplify]: Extracting #4: cost 112 inf + 247 140.586 * * [simplify]: Extracting #5: cost 166 inf + 1578 140.589 * * [simplify]: Extracting #6: cost 98 inf + 13736 140.598 * * [simplify]: Extracting #7: cost 17 inf + 51709 140.613 * * [simplify]: Extracting #8: cost 0 inf + 64267 140.637 * * [simplify]: Extracting #9: cost 0 inf + 64146 140.652 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 140.652 * [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))))) 140.653 * * * * [progress]: [ 207 / 307 ] simplifiying candidate # 140.653 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 140.653 * * [simplify]: iters left: 6 (16 enodes) 140.658 * * [simplify]: iters left: 5 (65 enodes) 140.669 * * [simplify]: iters left: 4 (102 enodes) 140.702 * * [simplify]: iters left: 3 (148 enodes) 140.755 * * [simplify]: iters left: 2 (260 enodes) 140.848 * * [simplify]: iters left: 1 (422 enodes) 141.027 * * [simplify]: Extracting #0: cost 1 inf + 0 141.027 * * [simplify]: Extracting #1: cost 7 inf + 0 141.027 * * [simplify]: Extracting #2: cost 13 inf + 1 141.027 * * [simplify]: Extracting #3: cost 44 inf + 1 141.027 * * [simplify]: Extracting #4: cost 121 inf + 247 141.028 * * [simplify]: Extracting #5: cost 147 inf + 1370 141.031 * * [simplify]: Extracting #6: cost 85 inf + 13461 141.044 * * [simplify]: Extracting #7: cost 19 inf + 48332 141.068 * * [simplify]: Extracting #8: cost 0 inf + 63812 141.087 * * [simplify]: Extracting #9: cost 0 inf + 63653 141.106 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 141.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 141.106 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 141.106 * * [simplify]: iters left: 6 (16 enodes) 141.114 * * [simplify]: iters left: 5 (65 enodes) 141.125 * * [simplify]: iters left: 4 (102 enodes) 141.145 * * [simplify]: iters left: 3 (148 enodes) 141.604 * * [simplify]: iters left: 2 (260 enodes) 141.675 * * [simplify]: iters left: 1 (422 enodes) 141.821 * * [simplify]: Extracting #0: cost 1 inf + 0 141.821 * * [simplify]: Extracting #1: cost 7 inf + 0 141.821 * * [simplify]: Extracting #2: cost 13 inf + 1 141.821 * * [simplify]: Extracting #3: cost 44 inf + 1 141.822 * * [simplify]: Extracting #4: cost 121 inf + 247 141.822 * * [simplify]: Extracting #5: cost 147 inf + 1370 141.825 * * [simplify]: Extracting #6: cost 85 inf + 13461 141.832 * * [simplify]: Extracting #7: cost 19 inf + 48332 141.842 * * [simplify]: Extracting #8: cost 0 inf + 63812 141.852 * * [simplify]: Extracting #9: cost 0 inf + 63653 141.861 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 141.861 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 141.861 * * * * [progress]: [ 208 / 307 ] simplifiying candidate # 141.862 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 141.862 * * [simplify]: iters left: 6 (7 enodes) 141.865 * * [simplify]: iters left: 5 (23 enodes) 141.869 * * [simplify]: iters left: 4 (27 enodes) 141.873 * * [simplify]: iters left: 3 (28 enodes) 141.877 * * [simplify]: Extracting #0: cost 1 inf + 0 141.877 * * [simplify]: Extracting #1: cost 4 inf + 0 141.877 * * [simplify]: Extracting #2: cost 5 inf + 1 141.877 * * [simplify]: Extracting #3: cost 7 inf + 1 141.877 * * [simplify]: Extracting #4: cost 2 inf + 287 141.877 * * [simplify]: Extracting #5: cost 0 inf + 490 141.877 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 141.877 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 141.877 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 141.878 * * [simplify]: iters left: 6 (15 enodes) 141.883 * * [simplify]: iters left: 5 (62 enodes) 141.901 * * [simplify]: iters left: 4 (102 enodes) 141.920 * * [simplify]: iters left: 3 (168 enodes) 141.971 * * [simplify]: iters left: 2 (350 enodes) 142.156 * * [simplify]: Extracting #0: cost 1 inf + 0 142.156 * * [simplify]: Extracting #1: cost 54 inf + 0 142.157 * * [simplify]: Extracting #2: cost 146 inf + 1 142.159 * * [simplify]: Extracting #3: cost 197 inf + 3 142.161 * * [simplify]: Extracting #4: cost 171 inf + 4479 142.167 * * [simplify]: Extracting #5: cost 128 inf + 16246 142.179 * * [simplify]: Extracting #6: cost 76 inf + 42231 142.205 * * [simplify]: Extracting #7: cost 2 inf + 100347 142.224 * * [simplify]: Extracting #8: cost 0 inf + 100098 142.241 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 142.241 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 142.241 * * * * [progress]: [ 209 / 307 ] simplifiying candidate # 142.242 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 142.242 * * [simplify]: iters left: 6 (16 enodes) 142.247 * * [simplify]: iters left: 5 (68 enodes) 142.260 * * [simplify]: iters left: 4 (115 enodes) 142.281 * * [simplify]: iters left: 3 (196 enodes) 142.355 * * [simplify]: iters left: 2 (406 enodes) 142.527 * * [simplify]: Extracting #0: cost 1 inf + 0 142.527 * * [simplify]: Extracting #1: cost 40 inf + 0 142.528 * * [simplify]: Extracting #2: cost 120 inf + 1 142.529 * * [simplify]: Extracting #3: cost 181 inf + 3 142.530 * * [simplify]: Extracting #4: cost 183 inf + 719 142.535 * * [simplify]: Extracting #5: cost 125 inf + 15959 142.553 * * [simplify]: Extracting #6: cost 24 inf + 66997 142.566 * * [simplify]: Extracting #7: cost 0 inf + 85940 142.589 * * [simplify]: Extracting #8: cost 0 inf + 85860 142.615 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 142.616 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 142.617 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 142.617 * * [simplify]: iters left: 6 (16 enodes) 142.627 * * [simplify]: iters left: 5 (68 enodes) 142.649 * * [simplify]: iters left: 4 (115 enodes) 142.682 * * [simplify]: iters left: 3 (196 enodes) 142.754 * * [simplify]: iters left: 2 (406 enodes) 142.971 * * [simplify]: Extracting #0: cost 1 inf + 0 142.971 * * [simplify]: Extracting #1: cost 40 inf + 0 142.972 * * [simplify]: Extracting #2: cost 120 inf + 1 142.973 * * [simplify]: Extracting #3: cost 181 inf + 3 142.975 * * [simplify]: Extracting #4: cost 183 inf + 719 142.979 * * [simplify]: Extracting #5: cost 125 inf + 15959 142.989 * * [simplify]: Extracting #6: cost 24 inf + 66997 143.004 * * [simplify]: Extracting #7: cost 0 inf + 85940 143.020 * * [simplify]: Extracting #8: cost 0 inf + 85860 143.050 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 143.050 * [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 k) 4)) (sqrt (sqrt k))))) 143.050 * * * * [progress]: [ 210 / 307 ] simplifiying candidate # 143.051 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 143.051 * * [simplify]: iters left: 6 (10 enodes) 143.058 * * [simplify]: iters left: 5 (43 enodes) 143.072 * * [simplify]: iters left: 4 (66 enodes) 143.095 * * [simplify]: iters left: 3 (113 enodes) 143.140 * * [simplify]: iters left: 2 (235 enodes) 143.244 * * [simplify]: Extracting #0: cost 1 inf + 0 143.244 * * [simplify]: Extracting #1: cost 28 inf + 0 143.245 * * [simplify]: Extracting #2: cost 91 inf + 3 143.245 * * [simplify]: Extracting #3: cost 133 inf + 6 143.246 * * [simplify]: Extracting #4: cost 129 inf + 721 143.250 * * [simplify]: Extracting #5: cost 67 inf + 12509 143.255 * * [simplify]: Extracting #6: cost 16 inf + 36000 143.261 * * [simplify]: Extracting #7: cost 0 inf + 47177 143.267 * * [simplify]: Extracting #8: cost 0 inf + 46522 143.272 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 143.273 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 143.273 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 143.273 * * [simplify]: iters left: 6 (12 enodes) 143.278 * * [simplify]: iters left: 5 (50 enodes) 143.289 * * [simplify]: iters left: 4 (86 enodes) 143.317 * * [simplify]: iters left: 3 (149 enodes) 143.361 * * [simplify]: iters left: 2 (314 enodes) 143.504 * * [simplify]: Extracting #0: cost 1 inf + 0 143.504 * * [simplify]: Extracting #1: cost 47 inf + 0 143.505 * * [simplify]: Extracting #2: cost 129 inf + 1 143.505 * * [simplify]: Extracting #3: cost 174 inf + 127 143.506 * * [simplify]: Extracting #4: cost 168 inf + 1129 143.508 * * [simplify]: Extracting #5: cost 125 inf + 10926 143.514 * * [simplify]: Extracting #6: cost 44 inf + 52003 143.535 * * [simplify]: Extracting #7: cost 0 inf + 83738 143.556 * * [simplify]: Extracting #8: cost 0 inf + 80065 143.579 * * [simplify]: Extracting #9: cost 0 inf + 79279 143.601 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 143.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 143.601 * * * * [progress]: [ 211 / 307 ] simplifiying candidate # 143.601 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 143.601 * * [simplify]: iters left: 6 (15 enodes) 143.611 * * [simplify]: iters left: 5 (64 enodes) 143.626 * * [simplify]: iters left: 4 (99 enodes) 143.645 * * [simplify]: iters left: 3 (146 enodes) 143.690 * * [simplify]: iters left: 2 (233 enodes) 143.759 * * [simplify]: iters left: 1 (420 enodes) 143.931 * * [simplify]: Extracting #0: cost 1 inf + 0 143.931 * * [simplify]: Extracting #1: cost 6 inf + 0 143.931 * * [simplify]: Extracting #2: cost 9 inf + 1 143.931 * * [simplify]: Extracting #3: cost 35 inf + 1 143.931 * * [simplify]: Extracting #4: cost 110 inf + 2 143.932 * * [simplify]: Extracting #5: cost 162 inf + 134 143.933 * * [simplify]: Extracting #6: cost 164 inf + 477 143.934 * * [simplify]: Extracting #7: cost 101 inf + 10760 143.944 * * [simplify]: Extracting #8: cost 41 inf + 33283 143.964 * * [simplify]: Extracting #9: cost 8 inf + 60727 143.987 * * [simplify]: Extracting #10: cost 0 inf + 66122 144.010 * * [simplify]: Extracting #11: cost 0 inf + 65377 144.033 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 144.033 * [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))))))) 144.034 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.034 * * [simplify]: iters left: 6 (15 enodes) 144.042 * * [simplify]: iters left: 5 (62 enodes) 144.053 * * [simplify]: iters left: 4 (98 enodes) 144.071 * * [simplify]: iters left: 3 (144 enodes) 144.127 * * [simplify]: iters left: 2 (255 enodes) 144.191 * * [simplify]: iters left: 1 (423 enodes) 144.345 * * [simplify]: Extracting #0: cost 1 inf + 0 144.345 * * [simplify]: Extracting #1: cost 7 inf + 0 144.345 * * [simplify]: Extracting #2: cost 12 inf + 1 144.345 * * [simplify]: Extracting #3: cost 33 inf + 166 144.345 * * [simplify]: Extracting #4: cost 105 inf + 249 144.346 * * [simplify]: Extracting #5: cost 155 inf + 673 144.348 * * [simplify]: Extracting #6: cost 116 inf + 5316 144.352 * * [simplify]: Extracting #7: cost 41 inf + 28518 144.362 * * [simplify]: Extracting #8: cost 4 inf + 59179 144.371 * * [simplify]: Extracting #9: cost 0 inf + 62980 144.394 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 144.394 * [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)))) 144.394 * * * * [progress]: [ 212 / 307 ] simplifiying candidate # 144.395 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.395 * * [simplify]: iters left: 6 (14 enodes) 144.404 * * [simplify]: iters left: 5 (59 enodes) 144.416 * * [simplify]: iters left: 4 (93 enodes) 144.432 * * [simplify]: iters left: 3 (136 enodes) 144.456 * * [simplify]: iters left: 2 (219 enodes) 144.505 * * [simplify]: iters left: 1 (399 enodes) 144.645 * * [simplify]: Extracting #0: cost 1 inf + 0 144.645 * * [simplify]: Extracting #1: cost 6 inf + 0 144.645 * * [simplify]: Extracting #2: cost 37 inf + 1 144.650 * * [simplify]: Extracting #3: cost 124 inf + 2 144.652 * * [simplify]: Extracting #4: cost 172 inf + 177 144.654 * * [simplify]: Extracting #5: cost 160 inf + 1381 144.662 * * [simplify]: Extracting #6: cost 63 inf + 24582 144.682 * * [simplify]: Extracting #7: cost 5 inf + 56065 144.706 * * [simplify]: Extracting #8: cost 0 inf + 57719 144.721 * * [simplify]: Extracting #9: cost 0 inf + 56894 144.736 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 144.736 * [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))))))) 144.736 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 144.737 * * [simplify]: iters left: 6 (15 enodes) 144.744 * * [simplify]: iters left: 5 (62 enodes) 144.764 * * [simplify]: iters left: 4 (99 enodes) 144.798 * * [simplify]: iters left: 3 (148 enodes) 144.828 * * [simplify]: iters left: 2 (265 enodes) 144.881 * * [simplify]: iters left: 1 (440 enodes) 145.032 * * [simplify]: Extracting #0: cost 1 inf + 0 145.032 * * [simplify]: Extracting #1: cost 7 inf + 0 145.032 * * [simplify]: Extracting #2: cost 13 inf + 1 145.032 * * [simplify]: Extracting #3: cost 36 inf + 84 145.033 * * [simplify]: Extracting #4: cost 121 inf + 167 145.033 * * [simplify]: Extracting #5: cost 159 inf + 1048 145.036 * * [simplify]: Extracting #6: cost 94 inf + 11034 145.043 * * [simplify]: Extracting #7: cost 39 inf + 30673 145.052 * * [simplify]: Extracting #8: cost 3 inf + 60612 145.063 * * [simplify]: Extracting #9: cost 0 inf + 62671 145.074 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 145.074 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)))) 145.074 * * * * [progress]: [ 213 / 307 ] simplifiying candidate # 145.074 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 145.074 * * [simplify]: iters left: 4 (4 enodes) 145.078 * * [simplify]: iters left: 3 (12 enodes) 145.080 * * [simplify]: iters left: 2 (14 enodes) 145.082 * * [simplify]: Extracting #0: cost 1 inf + 0 145.082 * * [simplify]: Extracting #1: cost 0 inf + 1 145.082 * [simplify]: Simplified to 1 145.082 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.082 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.082 * * [simplify]: iters left: 6 (14 enodes) 145.087 * * [simplify]: iters left: 5 (59 enodes) 145.098 * * [simplify]: iters left: 4 (103 enodes) 145.126 * * [simplify]: iters left: 3 (167 enodes) 145.195 * * [simplify]: iters left: 2 (328 enodes) 145.329 * * [simplify]: Extracting #0: cost 1 inf + 0 145.329 * * [simplify]: Extracting #1: cost 55 inf + 0 145.330 * * [simplify]: Extracting #2: cost 149 inf + 1 145.330 * * [simplify]: Extracting #3: cost 198 inf + 86 145.331 * * [simplify]: Extracting #4: cost 186 inf + 3407 145.333 * * [simplify]: Extracting #5: cost 145 inf + 9578 145.349 * * [simplify]: Extracting #6: cost 59 inf + 56043 145.373 * * [simplify]: Extracting #7: cost 0 inf + 100430 145.388 * * [simplify]: Extracting #8: cost 0 inf + 99146 145.401 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 145.401 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 145.401 * * * * [progress]: [ 214 / 307 ] simplifiying candidate # 145.401 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 145.401 * * [simplify]: iters left: 6 (14 enodes) 145.407 * * [simplify]: iters left: 5 (62 enodes) 145.427 * * [simplify]: iters left: 4 (103 enodes) 145.456 * * [simplify]: iters left: 3 (170 enodes) 145.498 * * [simplify]: iters left: 2 (312 enodes) 145.601 * * [simplify]: Extracting #0: cost 1 inf + 0 145.601 * * [simplify]: Extracting #1: cost 25 inf + 0 145.601 * * [simplify]: Extracting #2: cost 99 inf + 2 145.602 * * [simplify]: Extracting #3: cost 148 inf + 176 145.603 * * [simplify]: Extracting #4: cost 145 inf + 724 145.604 * * [simplify]: Extracting #5: cost 93 inf + 6774 145.610 * * [simplify]: Extracting #6: cost 30 inf + 31330 145.625 * * [simplify]: Extracting #7: cost 0 inf + 52043 145.638 * * [simplify]: Extracting #8: cost 0 inf + 51741 145.646 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 145.646 * [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)))))) 145.646 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 145.647 * * [simplify]: iters left: 6 (15 enodes) 145.652 * * [simplify]: iters left: 5 (65 enodes) 145.667 * * [simplify]: iters left: 4 (109 enodes) 145.699 * * [simplify]: iters left: 3 (183 enodes) 145.752 * * [simplify]: iters left: 2 (374 enodes) 145.894 * * [simplify]: Extracting #0: cost 1 inf + 0 145.894 * * [simplify]: Extracting #1: cost 42 inf + 0 145.895 * * [simplify]: Extracting #2: cost 133 inf + 1 145.896 * * [simplify]: Extracting #3: cost 186 inf + 45 145.898 * * [simplify]: Extracting #4: cost 175 inf + 3082 145.903 * * [simplify]: Extracting #5: cost 123 inf + 11441 145.917 * * [simplify]: Extracting #6: cost 38 inf + 60748 145.931 * * [simplify]: Extracting #7: cost 0 inf + 90611 145.945 * * [simplify]: Extracting #8: cost 0 inf + 90161 145.964 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 145.964 * [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)))) 145.964 * * * * [progress]: [ 215 / 307 ] simplifiying candidate # 145.964 * [simplify]: Simplifying (/ (sqrt 1) 1) 145.964 * * [simplify]: iters left: 3 (3 enodes) 145.966 * * [simplify]: iters left: 2 (9 enodes) 145.968 * * [simplify]: iters left: 1 (11 enodes) 145.969 * * [simplify]: Extracting #0: cost 1 inf + 0 145.969 * * [simplify]: Extracting #1: cost 0 inf + 1 145.969 * [simplify]: Simplified to 1 145.969 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 145.969 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 145.970 * * [simplify]: iters left: 6 (14 enodes) 145.976 * * [simplify]: iters left: 5 (59 enodes) 145.987 * * [simplify]: iters left: 4 (103 enodes) 146.006 * * [simplify]: iters left: 3 (167 enodes) 146.076 * * [simplify]: iters left: 2 (328 enodes) 146.238 * * [simplify]: Extracting #0: cost 1 inf + 0 146.238 * * [simplify]: Extracting #1: cost 55 inf + 0 146.239 * * [simplify]: Extracting #2: cost 149 inf + 1 146.240 * * [simplify]: Extracting #3: cost 198 inf + 86 146.242 * * [simplify]: Extracting #4: cost 186 inf + 3407 146.246 * * [simplify]: Extracting #5: cost 145 inf + 9578 146.259 * * [simplify]: Extracting #6: cost 59 inf + 56043 146.284 * * [simplify]: Extracting #7: cost 0 inf + 100430 146.310 * * [simplify]: Extracting #8: cost 0 inf + 99146 146.324 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 146.324 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 146.324 * * * * [progress]: [ 216 / 307 ] simplifiying candidate # 146.324 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 146.324 * * [simplify]: iters left: 3 (5 enodes) 146.327 * * [simplify]: iters left: 2 (17 enodes) 146.332 * * [simplify]: iters left: 1 (19 enodes) 146.337 * * [simplify]: Extracting #0: cost 1 inf + 0 146.337 * * [simplify]: Extracting #1: cost 4 inf + 0 146.337 * * [simplify]: Extracting #2: cost 5 inf + 1 146.337 * * [simplify]: Extracting #3: cost 0 inf + 248 146.338 * [simplify]: Simplified to (/ 1 (sqrt k)) 146.338 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 146.338 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 146.338 * * [simplify]: iters left: 6 (13 enodes) 146.346 * * [simplify]: iters left: 5 (56 enodes) 146.357 * * [simplify]: iters left: 4 (91 enodes) 146.373 * * [simplify]: iters left: 3 (141 enodes) 146.403 * * [simplify]: iters left: 2 (247 enodes) 146.476 * * [simplify]: Extracting #0: cost 1 inf + 0 146.476 * * [simplify]: Extracting #1: cost 26 inf + 0 146.477 * * [simplify]: Extracting #2: cost 95 inf + 2 146.478 * * [simplify]: Extracting #3: cost 134 inf + 174 146.479 * * [simplify]: Extracting #4: cost 126 inf + 763 146.482 * * [simplify]: Extracting #5: cost 77 inf + 8136 146.488 * * [simplify]: Extracting #6: cost 51 inf + 16205 146.503 * * [simplify]: Extracting #7: cost 4 inf + 47643 146.518 * * [simplify]: Extracting #8: cost 0 inf + 49683 146.532 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 146.532 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 146.533 * * * * [progress]: [ 217 / 307 ] simplifiying candidate # 146.533 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 146.533 * * [simplify]: iters left: 6 (13 enodes) 146.541 * * [simplify]: iters left: 5 (51 enodes) 146.558 * * [simplify]: iters left: 4 (88 enodes) 146.594 * * [simplify]: iters left: 3 (155 enodes) 146.636 * * [simplify]: iters left: 2 (306 enodes) 146.794 * * [simplify]: Extracting #0: cost 1 inf + 0 146.794 * * [simplify]: Extracting #1: cost 40 inf + 0 146.794 * * [simplify]: Extracting #2: cost 108 inf + 1 146.795 * * [simplify]: Extracting #3: cost 107 inf + 255 146.796 * * [simplify]: Extracting #4: cost 100 inf + 1015 146.798 * * [simplify]: Extracting #5: cost 42 inf + 27146 146.805 * * [simplify]: Extracting #6: cost 0 inf + 52351 146.820 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt k)) 146.820 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 146.821 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 146.821 * * [simplify]: iters left: 6 (11 enodes) 146.829 * * [simplify]: iters left: 5 (42 enodes) 146.843 * * [simplify]: iters left: 4 (66 enodes) 146.863 * * [simplify]: iters left: 3 (101 enodes) 146.896 * * [simplify]: iters left: 2 (171 enodes) 146.933 * * [simplify]: iters left: 1 (319 enodes) 147.060 * * [simplify]: Extracting #0: cost 1 inf + 0 147.060 * * [simplify]: Extracting #1: cost 6 inf + 0 147.060 * * [simplify]: Extracting #2: cost 42 inf + 1 147.061 * * [simplify]: Extracting #3: cost 131 inf + 2 147.062 * * [simplify]: Extracting #4: cost 158 inf + 554 147.066 * * [simplify]: Extracting #5: cost 94 inf + 13919 147.081 * * [simplify]: Extracting #6: cost 16 inf + 58388 147.092 * * [simplify]: Extracting #7: cost 0 inf + 71124 147.102 * * [simplify]: Extracting #8: cost 0 inf + 69491 147.121 * * [simplify]: Extracting #9: cost 0 inf + 69450 147.141 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 147.141 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 147.141 * * * * [progress]: [ 218 / 307 ] simplifiying candidate # 147.142 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 147.142 * * [simplify]: iters left: 6 (15 enodes) 147.149 * * [simplify]: iters left: 5 (62 enodes) 147.160 * * [simplify]: iters left: 4 (99 enodes) 147.177 * * [simplify]: iters left: 3 (145 enodes) 147.223 * * [simplify]: iters left: 2 (236 enodes) 147.310 * * [simplify]: iters left: 1 (421 enodes) 147.518 * * [simplify]: Extracting #0: cost 1 inf + 0 147.518 * * [simplify]: Extracting #1: cost 6 inf + 0 147.518 * * [simplify]: Extracting #2: cost 9 inf + 1 147.518 * * [simplify]: Extracting #3: cost 14 inf + 1 147.519 * * [simplify]: Extracting #4: cost 44 inf + 1 147.519 * * [simplify]: Extracting #5: cost 133 inf + 3 147.521 * * [simplify]: Extracting #6: cost 173 inf + 593 147.525 * * [simplify]: Extracting #7: cost 119 inf + 9438 147.536 * * [simplify]: Extracting #8: cost 53 inf + 34886 147.556 * * [simplify]: Extracting #9: cost 10 inf + 67818 147.576 * * [simplify]: Extracting #10: cost 0 inf + 73815 147.587 * * [simplify]: Extracting #11: cost 0 inf + 72818 147.601 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 147.601 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 147.601 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 147.601 * * [simplify]: iters left: 6 (14 enodes) 147.606 * * [simplify]: iters left: 5 (57 enodes) 147.624 * * [simplify]: iters left: 4 (92 enodes) 147.652 * * [simplify]: iters left: 3 (134 enodes) 147.698 * * [simplify]: iters left: 2 (220 enodes) 147.778 * * [simplify]: iters left: 1 (418 enodes) 147.961 * * [simplify]: Extracting #0: cost 1 inf + 0 147.961 * * [simplify]: Extracting #1: cost 4 inf + 0 147.961 * * [simplify]: Extracting #2: cost 5 inf + 1 147.961 * * [simplify]: Extracting #3: cost 10 inf + 1 147.961 * * [simplify]: Extracting #4: cost 51 inf + 1 147.962 * * [simplify]: Extracting #5: cost 150 inf + 3 147.964 * * [simplify]: Extracting #6: cost 190 inf + 1456 147.969 * * [simplify]: Extracting #7: cost 118 inf + 16554 147.986 * * [simplify]: Extracting #8: cost 19 inf + 68975 148.012 * * [simplify]: Extracting #9: cost 0 inf + 85127 148.032 * * [simplify]: Extracting #10: cost 0 inf + 83609 148.048 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 148.048 * [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 k) 2))))))) 148.048 * * * * [progress]: [ 219 / 307 ] simplifiying candidate # 148.049 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.049 * * [simplify]: iters left: 6 (14 enodes) 148.053 * * [simplify]: iters left: 5 (57 enodes) 148.067 * * [simplify]: iters left: 4 (92 enodes) 148.094 * * [simplify]: iters left: 3 (134 enodes) 148.118 * * [simplify]: iters left: 2 (220 enodes) 148.165 * * [simplify]: iters left: 1 (418 enodes) 148.308 * * [simplify]: Extracting #0: cost 1 inf + 0 148.308 * * [simplify]: Extracting #1: cost 4 inf + 0 148.308 * * [simplify]: Extracting #2: cost 5 inf + 1 148.308 * * [simplify]: Extracting #3: cost 10 inf + 1 148.309 * * [simplify]: Extracting #4: cost 51 inf + 1 148.309 * * [simplify]: Extracting #5: cost 150 inf + 3 148.310 * * [simplify]: Extracting #6: cost 190 inf + 1456 148.313 * * [simplify]: Extracting #7: cost 118 inf + 16434 148.322 * * [simplify]: Extracting #8: cost 19 inf + 68815 148.335 * * [simplify]: Extracting #9: cost 0 inf + 84967 148.348 * * [simplify]: Extracting #10: cost 0 inf + 83449 148.362 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 148.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.363 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 148.363 * * [simplify]: iters left: 6 (14 enodes) 148.367 * * [simplify]: iters left: 5 (57 enodes) 148.377 * * [simplify]: iters left: 4 (92 enodes) 148.393 * * [simplify]: iters left: 3 (134 enodes) 148.419 * * [simplify]: iters left: 2 (220 enodes) 148.500 * * [simplify]: iters left: 1 (418 enodes) 148.698 * * [simplify]: Extracting #0: cost 1 inf + 0 148.698 * * [simplify]: Extracting #1: cost 4 inf + 0 148.698 * * [simplify]: Extracting #2: cost 5 inf + 1 148.698 * * [simplify]: Extracting #3: cost 10 inf + 1 148.699 * * [simplify]: Extracting #4: cost 51 inf + 1 148.699 * * [simplify]: Extracting #5: cost 150 inf + 3 148.700 * * [simplify]: Extracting #6: cost 190 inf + 1456 148.703 * * [simplify]: Extracting #7: cost 118 inf + 16434 148.712 * * [simplify]: Extracting #8: cost 19 inf + 68815 148.733 * * [simplify]: Extracting #9: cost 0 inf + 84967 148.749 * * [simplify]: Extracting #10: cost 0 inf + 83449 148.764 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 148.764 * [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 k) 2))))))) 148.764 * * * * [progress]: [ 220 / 307 ] simplifiying candidate # 148.764 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 148.764 * * [simplify]: iters left: 6 (12 enodes) 148.768 * * [simplify]: iters left: 5 (51 enodes) 148.779 * * [simplify]: iters left: 4 (95 enodes) 148.797 * * [simplify]: iters left: 3 (186 enodes) 148.879 * * [simplify]: iters left: 2 (447 enodes) 149.122 * * [simplify]: Extracting #0: cost 1 inf + 0 149.123 * * [simplify]: Extracting #1: cost 93 inf + 0 149.124 * * [simplify]: Extracting #2: cost 266 inf + 1 149.127 * * [simplify]: Extracting #3: cost 331 inf + 4 149.130 * * [simplify]: Extracting #4: cost 312 inf + 5290 149.139 * * [simplify]: Extracting #5: cost 228 inf + 32549 149.171 * * [simplify]: Extracting #6: cost 63 inf + 140951 149.220 * * [simplify]: Extracting #7: cost 0 inf + 188657 149.272 * * [simplify]: Extracting #8: cost 0 inf + 188355 149.324 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.324 * [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)))))) 149.324 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 149.324 * * [simplify]: iters left: 6 (12 enodes) 149.332 * * [simplify]: iters left: 5 (50 enodes) 149.349 * * [simplify]: iters left: 4 (84 enodes) 149.376 * * [simplify]: iters left: 3 (140 enodes) 149.410 * * [simplify]: iters left: 2 (294 enodes) 149.542 * * [simplify]: Extracting #0: cost 1 inf + 0 149.542 * * [simplify]: Extracting #1: cost 40 inf + 0 149.543 * * [simplify]: Extracting #2: cost 123 inf + 1 149.543 * * [simplify]: Extracting #3: cost 173 inf + 3 149.544 * * [simplify]: Extracting #4: cost 176 inf + 585 149.546 * * [simplify]: Extracting #5: cost 131 inf + 8932 149.550 * * [simplify]: Extracting #6: cost 60 inf + 40554 149.566 * * [simplify]: Extracting #7: cost 4 inf + 80412 149.577 * * [simplify]: Extracting #8: cost 0 inf + 83356 149.588 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 149.588 * [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))))) 149.588 * * * * [progress]: [ 221 / 307 ] simplifiying candidate # 149.588 * [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)))))) 149.588 * * [simplify]: iters left: 6 (17 enodes) 149.593 * * [simplify]: iters left: 5 (74 enodes) 149.621 * * [simplify]: iters left: 4 (132 enodes) 149.659 * * [simplify]: iters left: 3 (208 enodes) 149.713 * * [simplify]: iters left: 2 (355 enodes) 149.830 * * [simplify]: Extracting #0: cost 1 inf + 0 149.830 * * [simplify]: Extracting #1: cost 17 inf + 0 149.830 * * [simplify]: Extracting #2: cost 31 inf + 1 149.830 * * [simplify]: Extracting #3: cost 46 inf + 1 149.830 * * [simplify]: Extracting #4: cost 93 inf + 3 149.831 * * [simplify]: Extracting #5: cost 115 inf + 1434 149.833 * * [simplify]: Extracting #6: cost 57 inf + 15034 149.841 * * [simplify]: Extracting #7: cost 12 inf + 34093 149.847 * * [simplify]: Extracting #8: cost 0 inf + 41801 149.854 * * [simplify]: Extracting #9: cost 0 inf + 41277 149.867 * [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)))) 149.867 * [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))))))) 149.868 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 149.868 * * [simplify]: iters left: 6 (15 enodes) 149.876 * * [simplify]: iters left: 5 (62 enodes) 149.890 * * [simplify]: iters left: 4 (96 enodes) 149.907 * * [simplify]: iters left: 3 (138 enodes) 149.946 * * [simplify]: iters left: 2 (246 enodes) 150.017 * * [simplify]: iters left: 1 (420 enodes) 150.219 * * [simplify]: Extracting #0: cost 1 inf + 0 150.219 * * [simplify]: Extracting #1: cost 7 inf + 0 150.219 * * [simplify]: Extracting #2: cost 12 inf + 1 150.219 * * [simplify]: Extracting #3: cost 41 inf + 1 150.220 * * [simplify]: Extracting #4: cost 120 inf + 3 150.220 * * [simplify]: Extracting #5: cost 165 inf + 751 150.222 * * [simplify]: Extracting #6: cost 114 inf + 6985 150.226 * * [simplify]: Extracting #7: cost 58 inf + 19980 150.239 * * [simplify]: Extracting #8: cost 8 inf + 61920 150.260 * * [simplify]: Extracting #9: cost 0 inf + 67210 150.272 * * [simplify]: Extracting #10: cost 0 inf + 66736 150.285 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 150.285 * [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))))) 150.285 * * * * [progress]: [ 222 / 307 ] simplifiying candidate # 150.286 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.286 * * [simplify]: iters left: 6 (16 enodes) 150.291 * * [simplify]: iters left: 5 (67 enodes) 150.303 * * [simplify]: iters left: 4 (109 enodes) 150.328 * * [simplify]: iters left: 3 (167 enodes) 150.366 * * [simplify]: iters left: 2 (292 enodes) 150.447 * * [simplify]: iters left: 1 (467 enodes) 150.601 * * [simplify]: Extracting #0: cost 1 inf + 0 150.601 * * [simplify]: Extracting #1: cost 12 inf + 0 150.602 * * [simplify]: Extracting #2: cost 22 inf + 1 150.602 * * [simplify]: Extracting #3: cost 54 inf + 1 150.602 * * [simplify]: Extracting #4: cost 142 inf + 3 150.603 * * [simplify]: Extracting #5: cost 166 inf + 2352 150.607 * * [simplify]: Extracting #6: cost 102 inf + 14776 150.615 * * [simplify]: Extracting #7: cost 15 inf + 56933 150.626 * * [simplify]: Extracting #8: cost 0 inf + 71941 150.646 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 150.646 * [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))))))) 150.647 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 150.647 * * [simplify]: iters left: 6 (15 enodes) 150.655 * * [simplify]: iters left: 5 (62 enodes) 150.681 * * [simplify]: iters left: 4 (97 enodes) 150.706 * * [simplify]: iters left: 3 (142 enodes) 150.738 * * [simplify]: iters left: 2 (256 enodes) 150.808 * * [simplify]: iters left: 1 (438 enodes) 150.984 * * [simplify]: Extracting #0: cost 1 inf + 0 150.984 * * [simplify]: Extracting #1: cost 7 inf + 0 150.984 * * [simplify]: Extracting #2: cost 13 inf + 1 150.984 * * [simplify]: Extracting #3: cost 47 inf + 1 150.985 * * [simplify]: Extracting #4: cost 132 inf + 3 150.987 * * [simplify]: Extracting #5: cost 181 inf + 1037 150.992 * * [simplify]: Extracting #6: cost 110 inf + 12502 151.004 * * [simplify]: Extracting #7: cost 37 inf + 36202 151.025 * * [simplify]: Extracting #8: cost 3 inf + 64185 151.047 * * [simplify]: Extracting #9: cost 0 inf + 67069 151.068 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 151.068 * [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 k) 2))) (cbrt (sqrt k))))) 151.068 * * * * [progress]: [ 223 / 307 ] simplifiying candidate # 151.068 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 151.069 * * [simplify]: iters left: 6 (7 enodes) 151.073 * * [simplify]: iters left: 5 (25 enodes) 151.082 * * [simplify]: iters left: 4 (38 enodes) 151.093 * * [simplify]: iters left: 3 (42 enodes) 151.105 * * [simplify]: Extracting #0: cost 1 inf + 0 151.105 * * [simplify]: Extracting #1: cost 6 inf + 0 151.105 * * [simplify]: Extracting #2: cost 9 inf + 1 151.109 * * [simplify]: Extracting #3: cost 11 inf + 1 151.109 * * [simplify]: Extracting #4: cost 10 inf + 2 151.109 * * [simplify]: Extracting #5: cost 2 inf + 1093 151.110 * * [simplify]: Extracting #6: cost 0 inf + 1376 151.110 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 151.110 * [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)))))) 151.111 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 151.111 * * [simplify]: iters left: 6 (14 enodes) 151.119 * * [simplify]: iters left: 5 (59 enodes) 151.136 * * [simplify]: iters left: 4 (101 enodes) 151.154 * * [simplify]: iters left: 3 (158 enodes) 151.186 * * [simplify]: iters left: 2 (310 enodes) 151.287 * * [simplify]: Extracting #0: cost 1 inf + 0 151.287 * * [simplify]: Extracting #1: cost 49 inf + 0 151.288 * * [simplify]: Extracting #2: cost 132 inf + 1 151.289 * * [simplify]: Extracting #3: cost 185 inf + 3 151.291 * * [simplify]: Extracting #4: cost 166 inf + 4060 151.297 * * [simplify]: Extracting #5: cost 104 inf + 22432 151.314 * * [simplify]: Extracting #6: cost 22 inf + 79552 151.327 * * [simplify]: Extracting #7: cost 0 inf + 97342 151.341 * * [simplify]: Extracting #8: cost 0 inf + 94804 151.355 * * [simplify]: Extracting #9: cost 0 inf + 93948 151.369 * * [simplify]: Extracting #10: cost 0 inf + 93817 151.392 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 151.392 * [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))))) 151.392 * * * * [progress]: [ 224 / 307 ] simplifiying candidate # 151.393 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 151.393 * * [simplify]: iters left: 6 (16 enodes) 151.403 * * [simplify]: iters left: 5 (70 enodes) 151.426 * * [simplify]: iters left: 4 (125 enodes) 151.470 * * [simplify]: iters left: 3 (234 enodes) 151.588 * * [simplify]: Extracting #0: cost 1 inf + 0 151.588 * * [simplify]: Extracting #1: cost 32 inf + 0 151.589 * * [simplify]: Extracting #2: cost 100 inf + 1 151.590 * * [simplify]: Extracting #3: cost 144 inf + 2 151.591 * * [simplify]: Extracting #4: cost 143 inf + 706 151.594 * * [simplify]: Extracting #5: cost 86 inf + 11932 151.605 * * [simplify]: Extracting #6: cost 14 inf + 46608 151.613 * * [simplify]: Extracting #7: cost 0 inf + 57375 151.621 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 151.621 * [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)))))) 151.622 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 151.622 * * [simplify]: iters left: 6 (15 enodes) 151.627 * * [simplify]: iters left: 5 (65 enodes) 151.641 * * [simplify]: iters left: 4 (107 enodes) 151.664 * * [simplify]: iters left: 3 (174 enodes) 151.733 * * [simplify]: iters left: 2 (352 enodes) 151.872 * * [simplify]: Extracting #0: cost 1 inf + 0 151.872 * * [simplify]: Extracting #1: cost 49 inf + 0 151.873 * * [simplify]: Extracting #2: cost 129 inf + 1 151.874 * * [simplify]: Extracting #3: cost 185 inf + 3 151.876 * * [simplify]: Extracting #4: cost 174 inf + 3612 151.887 * * [simplify]: Extracting #5: cost 83 inf + 36879 151.912 * * [simplify]: Extracting #6: cost 1 inf + 95097 151.939 * * [simplify]: Extracting #7: cost 0 inf + 93416 151.967 * * [simplify]: Extracting #8: cost 0 inf + 93327 151.995 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 151.996 * [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 k) 4)) (cbrt (sqrt k))))) 151.996 * * * * [progress]: [ 225 / 307 ] simplifiying candidate # 151.996 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 151.996 * * [simplify]: iters left: 6 (12 enodes) 152.003 * * [simplify]: iters left: 5 (50 enodes) 152.021 * * [simplify]: iters left: 4 (84 enodes) 152.051 * * [simplify]: iters left: 3 (136 enodes) 152.107 * * [simplify]: iters left: 2 (285 enodes) 152.235 * * [simplify]: Extracting #0: cost 1 inf + 0 152.235 * * [simplify]: Extracting #1: cost 48 inf + 0 152.236 * * [simplify]: Extracting #2: cost 132 inf + 1 152.236 * * [simplify]: Extracting #3: cost 179 inf + 4 152.237 * * [simplify]: Extracting #4: cost 174 inf + 1247 152.239 * * [simplify]: Extracting #5: cost 132 inf + 8349 152.243 * * [simplify]: Extracting #6: cost 78 inf + 29872 152.251 * * [simplify]: Extracting #7: cost 15 inf + 71178 152.266 * * [simplify]: Extracting #8: cost 0 inf + 81708 152.286 * * [simplify]: Extracting #9: cost 0 inf + 81669 152.308 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 152.308 * [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)))))) 152.308 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 152.308 * * [simplify]: iters left: 6 (12 enodes) 152.315 * * [simplify]: iters left: 5 (50 enodes) 152.333 * * [simplify]: iters left: 4 (84 enodes) 152.353 * * [simplify]: iters left: 3 (140 enodes) 152.388 * * [simplify]: iters left: 2 (294 enodes) 152.482 * * [simplify]: Extracting #0: cost 1 inf + 0 152.483 * * [simplify]: Extracting #1: cost 40 inf + 0 152.483 * * [simplify]: Extracting #2: cost 123 inf + 1 152.484 * * [simplify]: Extracting #3: cost 173 inf + 3 152.486 * * [simplify]: Extracting #4: cost 176 inf + 625 152.489 * * [simplify]: Extracting #5: cost 131 inf + 9012 152.495 * * [simplify]: Extracting #6: cost 60 inf + 40634 152.505 * * [simplify]: Extracting #7: cost 4 inf + 80492 152.516 * * [simplify]: Extracting #8: cost 0 inf + 83436 152.535 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 152.535 * [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))))) 152.535 * * * * [progress]: [ 226 / 307 ] simplifiying candidate # 152.536 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 152.536 * * [simplify]: iters left: 6 (17 enodes) 152.546 * * [simplify]: iters left: 5 (71 enodes) 152.571 * * [simplify]: iters left: 4 (111 enodes) 152.607 * * [simplify]: iters left: 3 (164 enodes) 152.641 * * [simplify]: iters left: 2 (280 enodes) 152.738 * * [simplify]: iters left: 1 (471 enodes) 152.985 * * [simplify]: Extracting #0: cost 1 inf + 0 152.985 * * [simplify]: Extracting #1: cost 10 inf + 0 152.985 * * [simplify]: Extracting #2: cost 19 inf + 1 152.986 * * [simplify]: Extracting #3: cost 52 inf + 1 152.986 * * [simplify]: Extracting #4: cost 130 inf + 3 152.987 * * [simplify]: Extracting #5: cost 189 inf + 825 152.989 * * [simplify]: Extracting #6: cost 138 inf + 6488 152.993 * * [simplify]: Extracting #7: cost 71 inf + 22126 153.002 * * [simplify]: Extracting #8: cost 15 inf + 63394 153.014 * * [simplify]: Extracting #9: cost 0 inf + 78430 153.033 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 153.033 * [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))))))) 153.034 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.034 * * [simplify]: iters left: 6 (15 enodes) 153.042 * * [simplify]: iters left: 5 (62 enodes) 153.062 * * [simplify]: iters left: 4 (96 enodes) 153.094 * * [simplify]: iters left: 3 (138 enodes) 153.120 * * [simplify]: iters left: 2 (246 enodes) 153.167 * * [simplify]: iters left: 1 (420 enodes) 153.364 * * [simplify]: Extracting #0: cost 1 inf + 0 153.364 * * [simplify]: Extracting #1: cost 7 inf + 0 153.364 * * [simplify]: Extracting #2: cost 12 inf + 1 153.365 * * [simplify]: Extracting #3: cost 41 inf + 1 153.365 * * [simplify]: Extracting #4: cost 120 inf + 3 153.367 * * [simplify]: Extracting #5: cost 165 inf + 791 153.370 * * [simplify]: Extracting #6: cost 114 inf + 7065 153.378 * * [simplify]: Extracting #7: cost 58 inf + 20060 153.399 * * [simplify]: Extracting #8: cost 8 inf + 62000 153.419 * * [simplify]: Extracting #9: cost 0 inf + 67290 153.442 * * [simplify]: Extracting #10: cost 0 inf + 66816 153.463 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 153.463 * [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))))) 153.463 * * * * [progress]: [ 227 / 307 ] simplifiying candidate # 153.464 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.464 * * [simplify]: iters left: 6 (16 enodes) 153.472 * * [simplify]: iters left: 5 (66 enodes) 153.487 * * [simplify]: iters left: 4 (101 enodes) 153.504 * * [simplify]: iters left: 3 (146 enodes) 153.555 * * [simplify]: iters left: 2 (257 enodes) 153.643 * * [simplify]: iters left: 1 (420 enodes) 153.821 * * [simplify]: Extracting #0: cost 1 inf + 0 153.821 * * [simplify]: Extracting #1: cost 7 inf + 0 153.821 * * [simplify]: Extracting #2: cost 14 inf + 1 153.821 * * [simplify]: Extracting #3: cost 46 inf + 1 153.821 * * [simplify]: Extracting #4: cost 128 inf + 3 153.822 * * [simplify]: Extracting #5: cost 176 inf + 1375 153.826 * * [simplify]: Extracting #6: cost 88 inf + 24135 153.839 * * [simplify]: Extracting #7: cost 9 inf + 58601 153.859 * * [simplify]: Extracting #8: cost 0 inf + 65128 153.878 * * [simplify]: Extracting #9: cost 0 inf + 65046 153.902 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 153.902 * [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))))))) 153.903 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.903 * * [simplify]: iters left: 6 (15 enodes) 153.911 * * [simplify]: iters left: 5 (62 enodes) 153.933 * * [simplify]: iters left: 4 (97 enodes) 153.965 * * [simplify]: iters left: 3 (142 enodes) 154.017 * * [simplify]: iters left: 2 (256 enodes) 154.103 * * [simplify]: iters left: 1 (438 enodes) 154.293 * * [simplify]: Extracting #0: cost 1 inf + 0 154.293 * * [simplify]: Extracting #1: cost 7 inf + 0 154.294 * * [simplify]: Extracting #2: cost 13 inf + 1 154.294 * * [simplify]: Extracting #3: cost 47 inf + 1 154.295 * * [simplify]: Extracting #4: cost 132 inf + 3 154.296 * * [simplify]: Extracting #5: cost 181 inf + 1077 154.300 * * [simplify]: Extracting #6: cost 110 inf + 12582 154.306 * * [simplify]: Extracting #7: cost 37 inf + 36282 154.316 * * [simplify]: Extracting #8: cost 3 inf + 64265 154.329 * * [simplify]: Extracting #9: cost 0 inf + 67149 154.350 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 154.350 * [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 k) 2))) (sqrt (cbrt k))))) 154.350 * * * * [progress]: [ 228 / 307 ] simplifiying candidate # 154.351 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 154.351 * * [simplify]: iters left: 6 (7 enodes) 154.354 * * [simplify]: iters left: 5 (23 enodes) 154.365 * * [simplify]: iters left: 4 (29 enodes) 154.373 * * [simplify]: Extracting #0: cost 1 inf + 0 154.373 * * [simplify]: Extracting #1: cost 4 inf + 0 154.373 * * [simplify]: Extracting #2: cost 6 inf + 1 154.373 * * [simplify]: Extracting #3: cost 9 inf + 1 154.373 * * [simplify]: Extracting #4: cost 8 inf + 2 154.374 * * [simplify]: Extracting #5: cost 2 inf + 689 154.374 * * [simplify]: Extracting #6: cost 0 inf + 972 154.374 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 154.374 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 154.375 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.375 * * [simplify]: iters left: 6 (14 enodes) 154.383 * * [simplify]: iters left: 5 (59 enodes) 154.403 * * [simplify]: iters left: 4 (101 enodes) 154.435 * * [simplify]: iters left: 3 (158 enodes) 154.473 * * [simplify]: iters left: 2 (310 enodes) 154.604 * * [simplify]: Extracting #0: cost 1 inf + 0 154.605 * * [simplify]: Extracting #1: cost 49 inf + 0 154.605 * * [simplify]: Extracting #2: cost 132 inf + 1 154.606 * * [simplify]: Extracting #3: cost 185 inf + 3 154.607 * * [simplify]: Extracting #4: cost 166 inf + 4100 154.610 * * [simplify]: Extracting #5: cost 104 inf + 22512 154.619 * * [simplify]: Extracting #6: cost 22 inf + 79632 154.637 * * [simplify]: Extracting #7: cost 0 inf + 97422 154.665 * * [simplify]: Extracting #8: cost 0 inf + 94884 154.692 * * [simplify]: Extracting #9: cost 0 inf + 94028 154.708 * * [simplify]: Extracting #10: cost 0 inf + 93897 154.726 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 154.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 154.726 * * * * [progress]: [ 229 / 307 ] simplifiying candidate # 154.727 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 154.727 * * [simplify]: iters left: 6 (16 enodes) 154.736 * * [simplify]: iters left: 5 (69 enodes) 154.755 * * [simplify]: iters left: 4 (111 enodes) 154.775 * * [simplify]: iters left: 3 (178 enodes) 154.815 * * [simplify]: iters left: 2 (354 enodes) 154.977 * * [simplify]: Extracting #0: cost 1 inf + 0 154.977 * * [simplify]: Extracting #1: cost 39 inf + 0 154.978 * * [simplify]: Extracting #2: cost 118 inf + 1 154.979 * * [simplify]: Extracting #3: cost 176 inf + 3 154.980 * * [simplify]: Extracting #4: cost 183 inf + 750 154.985 * * [simplify]: Extracting #5: cost 128 inf + 12365 154.998 * * [simplify]: Extracting #6: cost 55 inf + 46758 155.014 * * [simplify]: Extracting #7: cost 2 inf + 88685 155.027 * * [simplify]: Extracting #8: cost 0 inf + 87703 155.048 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 155.048 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 155.049 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 155.049 * * [simplify]: iters left: 6 (15 enodes) 155.057 * * [simplify]: iters left: 5 (65 enodes) 155.078 * * [simplify]: iters left: 4 (107 enodes) 155.115 * * [simplify]: iters left: 3 (174 enodes) 155.184 * * [simplify]: iters left: 2 (352 enodes) 155.305 * * [simplify]: Extracting #0: cost 1 inf + 0 155.305 * * [simplify]: Extracting #1: cost 49 inf + 0 155.305 * * [simplify]: Extracting #2: cost 129 inf + 1 155.306 * * [simplify]: Extracting #3: cost 185 inf + 3 155.307 * * [simplify]: Extracting #4: cost 174 inf + 3652 155.312 * * [simplify]: Extracting #5: cost 83 inf + 36959 155.325 * * [simplify]: Extracting #6: cost 1 inf + 95177 155.346 * * [simplify]: Extracting #7: cost 0 inf + 93496 155.360 * * [simplify]: Extracting #8: cost 0 inf + 93407 155.377 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 155.377 * [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 k) 4)) (sqrt (cbrt k))))) 155.377 * * * * [progress]: [ 230 / 307 ] simplifiying candidate # 155.377 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 155.377 * * [simplify]: iters left: 6 (11 enodes) 155.381 * * [simplify]: iters left: 5 (46 enodes) 155.390 * * [simplify]: iters left: 4 (76 enodes) 155.404 * * [simplify]: iters left: 3 (133 enodes) 155.449 * * [simplify]: iters left: 2 (300 enodes) 155.565 * * [simplify]: Extracting #0: cost 1 inf + 0 155.565 * * [simplify]: Extracting #1: cost 41 inf + 0 155.566 * * [simplify]: Extracting #2: cost 125 inf + 1 155.567 * * [simplify]: Extracting #3: cost 172 inf + 4 155.568 * * [simplify]: Extracting #4: cost 172 inf + 972 155.571 * * [simplify]: Extracting #5: cost 131 inf + 9311 155.588 * * [simplify]: Extracting #6: cost 26 inf + 61917 155.599 * * [simplify]: Extracting #7: cost 0 inf + 79563 155.609 * * [simplify]: Extracting #8: cost 0 inf + 79113 155.619 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.619 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 155.619 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 155.619 * * [simplify]: iters left: 6 (12 enodes) 155.623 * * [simplify]: iters left: 5 (50 enodes) 155.632 * * [simplify]: iters left: 4 (84 enodes) 155.648 * * [simplify]: iters left: 3 (140 enodes) 155.681 * * [simplify]: iters left: 2 (294 enodes) 155.790 * * [simplify]: Extracting #0: cost 1 inf + 0 155.790 * * [simplify]: Extracting #1: cost 40 inf + 0 155.791 * * [simplify]: Extracting #2: cost 123 inf + 1 155.791 * * [simplify]: Extracting #3: cost 173 inf + 3 155.792 * * [simplify]: Extracting #4: cost 176 inf + 505 155.794 * * [simplify]: Extracting #5: cost 131 inf + 8572 155.799 * * [simplify]: Extracting #6: cost 60 inf + 39394 155.809 * * [simplify]: Extracting #7: cost 4 inf + 77612 155.820 * * [simplify]: Extracting #8: cost 0 inf + 80436 155.834 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.834 * [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))))) 155.834 * * * * [progress]: [ 231 / 307 ] simplifiying candidate # 155.834 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 155.835 * * [simplify]: iters left: 6 (16 enodes) 155.839 * * [simplify]: iters left: 5 (67 enodes) 155.854 * * [simplify]: iters left: 4 (107 enodes) 155.883 * * [simplify]: iters left: 3 (157 enodes) 155.937 * * [simplify]: iters left: 2 (268 enodes) 156.014 * * [simplify]: iters left: 1 (444 enodes) 156.149 * * [simplify]: Extracting #0: cost 1 inf + 0 156.149 * * [simplify]: Extracting #1: cost 10 inf + 0 156.149 * * [simplify]: Extracting #2: cost 18 inf + 1 156.149 * * [simplify]: Extracting #3: cost 46 inf + 1 156.149 * * [simplify]: Extracting #4: cost 123 inf + 3 156.150 * * [simplify]: Extracting #5: cost 171 inf + 1459 156.153 * * [simplify]: Extracting #6: cost 90 inf + 19015 156.162 * * [simplify]: Extracting #7: cost 16 inf + 57416 156.174 * * [simplify]: Extracting #8: cost 0 inf + 72501 156.184 * * [simplify]: Extracting #9: cost 0 inf + 72422 156.203 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 156.203 * [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))))))) 156.203 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.204 * * [simplify]: iters left: 6 (15 enodes) 156.212 * * [simplify]: iters left: 5 (62 enodes) 156.233 * * [simplify]: iters left: 4 (96 enodes) 156.267 * * [simplify]: iters left: 3 (138 enodes) 156.317 * * [simplify]: iters left: 2 (246 enodes) 156.394 * * [simplify]: iters left: 1 (420 enodes) 156.532 * * [simplify]: Extracting #0: cost 1 inf + 0 156.532 * * [simplify]: Extracting #1: cost 7 inf + 0 156.532 * * [simplify]: Extracting #2: cost 12 inf + 1 156.532 * * [simplify]: Extracting #3: cost 41 inf + 1 156.532 * * [simplify]: Extracting #4: cost 120 inf + 3 156.533 * * [simplify]: Extracting #5: cost 165 inf + 671 156.535 * * [simplify]: Extracting #6: cost 114 inf + 6825 156.538 * * [simplify]: Extracting #7: cost 58 inf + 19700 156.547 * * [simplify]: Extracting #8: cost 8 inf + 61600 156.563 * * [simplify]: Extracting #9: cost 0 inf + 66890 156.578 * * [simplify]: Extracting #10: cost 0 inf + 66416 156.588 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 156.588 * [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))))) 156.588 * * * * [progress]: [ 232 / 307 ] simplifiying candidate # 156.589 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 156.589 * * [simplify]: iters left: 6 (15 enodes) 156.594 * * [simplify]: iters left: 5 (62 enodes) 156.606 * * [simplify]: iters left: 4 (97 enodes) 156.631 * * [simplify]: iters left: 3 (142 enodes) 156.660 * * [simplify]: iters left: 2 (256 enodes) 156.742 * * [simplify]: iters left: 1 (438 enodes) 156.950 * * [simplify]: Extracting #0: cost 1 inf + 0 156.950 * * [simplify]: Extracting #1: cost 7 inf + 0 156.950 * * [simplify]: Extracting #2: cost 13 inf + 1 156.951 * * [simplify]: Extracting #3: cost 47 inf + 1 156.951 * * [simplify]: Extracting #4: cost 132 inf + 3 156.953 * * [simplify]: Extracting #5: cost 181 inf + 917 156.958 * * [simplify]: Extracting #6: cost 110 inf + 12222 156.971 * * [simplify]: Extracting #7: cost 37 inf + 35882 156.991 * * [simplify]: Extracting #8: cost 3 inf + 63865 157.005 * * [simplify]: Extracting #9: cost 0 inf + 66749 157.015 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 157.015 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 157.016 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 157.016 * * [simplify]: iters left: 6 (15 enodes) 157.021 * * [simplify]: iters left: 5 (62 enodes) 157.037 * * [simplify]: iters left: 4 (97 enodes) 157.053 * * [simplify]: iters left: 3 (142 enodes) 157.094 * * [simplify]: iters left: 2 (256 enodes) 157.184 * * [simplify]: iters left: 1 (438 enodes) 157.388 * * [simplify]: Extracting #0: cost 1 inf + 0 157.388 * * [simplify]: Extracting #1: cost 7 inf + 0 157.388 * * [simplify]: Extracting #2: cost 13 inf + 1 157.388 * * [simplify]: Extracting #3: cost 47 inf + 1 157.389 * * [simplify]: Extracting #4: cost 132 inf + 3 157.390 * * [simplify]: Extracting #5: cost 181 inf + 917 157.392 * * [simplify]: Extracting #6: cost 110 inf + 12222 157.398 * * [simplify]: Extracting #7: cost 37 inf + 35882 157.409 * * [simplify]: Extracting #8: cost 3 inf + 63865 157.425 * * [simplify]: Extracting #9: cost 0 inf + 66749 157.449 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 157.449 * [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 k) 2))) (sqrt (sqrt k))))) 157.449 * * * * [progress]: [ 233 / 307 ] simplifiying candidate # 157.449 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 157.449 * * [simplify]: iters left: 6 (6 enodes) 157.451 * * [simplify]: iters left: 5 (20 enodes) 157.455 * * [simplify]: iters left: 4 (24 enodes) 157.459 * * [simplify]: iters left: 3 (25 enodes) 157.463 * * [simplify]: Extracting #0: cost 1 inf + 0 157.463 * * [simplify]: Extracting #1: cost 4 inf + 0 157.463 * * [simplify]: Extracting #2: cost 5 inf + 1 157.463 * * [simplify]: Extracting #3: cost 7 inf + 1 157.463 * * [simplify]: Extracting #4: cost 6 inf + 2 157.463 * * [simplify]: Extracting #5: cost 0 inf + 490 157.463 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 157.463 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 157.463 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 157.463 * * [simplify]: iters left: 6 (14 enodes) 157.468 * * [simplify]: iters left: 5 (59 enodes) 157.479 * * [simplify]: iters left: 4 (101 enodes) 157.503 * * [simplify]: iters left: 3 (158 enodes) 157.549 * * [simplify]: iters left: 2 (310 enodes) 157.652 * * [simplify]: Extracting #0: cost 1 inf + 0 157.652 * * [simplify]: Extracting #1: cost 49 inf + 0 157.653 * * [simplify]: Extracting #2: cost 132 inf + 1 157.654 * * [simplify]: Extracting #3: cost 185 inf + 3 157.656 * * [simplify]: Extracting #4: cost 166 inf + 3860 157.663 * * [simplify]: Extracting #5: cost 104 inf + 21672 157.676 * * [simplify]: Extracting #6: cost 22 inf + 77192 157.690 * * [simplify]: Extracting #7: cost 0 inf + 94262 157.710 * * [simplify]: Extracting #8: cost 0 inf + 91724 157.741 * * [simplify]: Extracting #9: cost 0 inf + 90868 157.771 * * [simplify]: Extracting #10: cost 0 inf + 90737 157.799 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 157.799 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 157.799 * * * * [progress]: [ 234 / 307 ] simplifiying candidate # 157.800 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 157.800 * * [simplify]: iters left: 6 (15 enodes) 157.810 * * [simplify]: iters left: 5 (65 enodes) 157.833 * * [simplify]: iters left: 4 (107 enodes) 157.869 * * [simplify]: iters left: 3 (174 enodes) 157.941 * * [simplify]: iters left: 2 (352 enodes) 158.082 * * [simplify]: Extracting #0: cost 1 inf + 0 158.082 * * [simplify]: Extracting #1: cost 49 inf + 0 158.082 * * [simplify]: Extracting #2: cost 129 inf + 1 158.083 * * [simplify]: Extracting #3: cost 185 inf + 3 158.084 * * [simplify]: Extracting #4: cost 174 inf + 3452 158.089 * * [simplify]: Extracting #5: cost 83 inf + 35919 158.102 * * [simplify]: Extracting #6: cost 1 inf + 92137 158.124 * * [simplify]: Extracting #7: cost 0 inf + 90456 158.152 * * [simplify]: Extracting #8: cost 0 inf + 90367 158.177 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 158.177 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 158.178 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 158.178 * * [simplify]: iters left: 6 (15 enodes) 158.183 * * [simplify]: iters left: 5 (65 enodes) 158.194 * * [simplify]: iters left: 4 (107 enodes) 158.218 * * [simplify]: iters left: 3 (174 enodes) 158.276 * * [simplify]: iters left: 2 (352 enodes) 158.384 * * [simplify]: Extracting #0: cost 1 inf + 0 158.384 * * [simplify]: Extracting #1: cost 49 inf + 0 158.385 * * [simplify]: Extracting #2: cost 129 inf + 1 158.385 * * [simplify]: Extracting #3: cost 185 inf + 3 158.386 * * [simplify]: Extracting #4: cost 174 inf + 3452 158.391 * * [simplify]: Extracting #5: cost 83 inf + 35919 158.405 * * [simplify]: Extracting #6: cost 1 inf + 92137 158.436 * * [simplify]: Extracting #7: cost 0 inf + 90456 158.465 * * [simplify]: Extracting #8: cost 0 inf + 90367 158.490 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 158.490 * [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 k) 4)) (sqrt (sqrt k))))) 158.491 * * * * [progress]: [ 235 / 307 ] simplifiying candidate # 158.491 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 158.491 * * [simplify]: iters left: 6 (10 enodes) 158.495 * * [simplify]: iters left: 5 (43 enodes) 158.503 * * [simplify]: iters left: 4 (68 enodes) 158.514 * * [simplify]: iters left: 3 (113 enodes) 158.552 * * [simplify]: iters left: 2 (234 enodes) 158.653 * * [simplify]: iters left: 1 (492 enodes) 158.996 * * [simplify]: Extracting #0: cost 1 inf + 0 158.996 * * [simplify]: Extracting #1: cost 49 inf + 0 158.997 * * [simplify]: Extracting #2: cost 189 inf + 3 158.998 * * [simplify]: Extracting #3: cost 259 inf + 8 158.999 * * [simplify]: Extracting #4: cost 258 inf + 308 159.004 * * [simplify]: Extracting #5: cost 189 inf + 10482 159.029 * * [simplify]: Extracting #6: cost 43 inf + 82447 159.055 * * [simplify]: Extracting #7: cost 0 inf + 114606 159.073 * * [simplify]: Extracting #8: cost 0 inf + 114351 159.093 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 159.094 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 159.095 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 159.095 * * [simplify]: iters left: 6 (11 enodes) 159.099 * * [simplify]: iters left: 5 (47 enodes) 159.108 * * [simplify]: iters left: 4 (77 enodes) 159.122 * * [simplify]: iters left: 3 (134 enodes) 159.173 * * [simplify]: iters left: 2 (301 enodes) 159.257 * * [simplify]: Extracting #0: cost 1 inf + 0 159.257 * * [simplify]: Extracting #1: cost 42 inf + 0 159.258 * * [simplify]: Extracting #2: cost 127 inf + 1 159.258 * * [simplify]: Extracting #3: cost 170 inf + 168 159.259 * * [simplify]: Extracting #4: cost 156 inf + 2706 159.261 * * [simplify]: Extracting #5: cost 127 inf + 9088 159.267 * * [simplify]: Extracting #6: cost 39 inf + 59079 159.284 * * [simplify]: Extracting #7: cost 1 inf + 83663 159.295 * * [simplify]: Extracting #8: cost 0 inf + 82115 159.311 * * [simplify]: Extracting #9: cost 0 inf + 80891 159.330 * * [simplify]: Extracting #10: cost 0 inf + 80842 159.352 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 159.352 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 159.352 * * * * [progress]: [ 236 / 307 ] simplifiying candidate # 159.353 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.353 * * [simplify]: iters left: 6 (15 enodes) 159.362 * * [simplify]: iters left: 5 (64 enodes) 159.381 * * [simplify]: iters left: 4 (106 enodes) 159.398 * * [simplify]: iters left: 3 (156 enodes) 159.431 * * [simplify]: iters left: 2 (247 enodes) 159.494 * * [simplify]: iters left: 1 (430 enodes) 159.677 * * [simplify]: Extracting #0: cost 1 inf + 0 159.677 * * [simplify]: Extracting #1: cost 6 inf + 0 159.677 * * [simplify]: Extracting #2: cost 9 inf + 1 159.677 * * [simplify]: Extracting #3: cost 35 inf + 1 159.677 * * [simplify]: Extracting #4: cost 111 inf + 2 159.678 * * [simplify]: Extracting #5: cost 169 inf + 176 159.679 * * [simplify]: Extracting #6: cost 168 inf + 644 159.681 * * [simplify]: Extracting #7: cost 90 inf + 13166 159.688 * * [simplify]: Extracting #8: cost 22 inf + 47478 159.698 * * [simplify]: Extracting #9: cost 0 inf + 68026 159.718 * * [simplify]: Extracting #10: cost 0 inf + 67307 159.739 * * [simplify]: Extracting #11: cost 0 inf + 67055 159.760 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.760 * [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))))))) 159.760 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 159.760 * * [simplify]: iters left: 6 (14 enodes) 159.768 * * [simplify]: iters left: 5 (59 enodes) 159.787 * * [simplify]: iters left: 4 (97 enodes) 159.805 * * [simplify]: iters left: 3 (137 enodes) 159.830 * * [simplify]: iters left: 2 (229 enodes) 159.894 * * [simplify]: iters left: 1 (418 enodes) 160.094 * * [simplify]: Extracting #0: cost 1 inf + 0 160.095 * * [simplify]: Extracting #1: cost 7 inf + 0 160.095 * * [simplify]: Extracting #2: cost 12 inf + 1 160.095 * * [simplify]: Extracting #3: cost 37 inf + 2 160.096 * * [simplify]: Extracting #4: cost 113 inf + 167 160.097 * * [simplify]: Extracting #5: cost 171 inf + 465 160.101 * * [simplify]: Extracting #6: cost 118 inf + 8809 160.106 * * [simplify]: Extracting #7: cost 57 inf + 23159 160.115 * * [simplify]: Extracting #8: cost 7 inf + 60171 160.126 * * [simplify]: Extracting #9: cost 0 inf + 67068 160.146 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 160.146 * [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)))) 160.146 * * * * [progress]: [ 237 / 307 ] simplifiying candidate # 160.147 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 160.147 * * [simplify]: iters left: 6 (14 enodes) 160.157 * * [simplify]: iters left: 5 (59 enodes) 160.176 * * [simplify]: iters left: 4 (95 enodes) 160.204 * * [simplify]: iters left: 3 (138 enodes) 160.242 * * [simplify]: iters left: 2 (221 enodes) 160.317 * * [simplify]: iters left: 1 (402 enodes) 160.508 * * [simplify]: Extracting #0: cost 1 inf + 0 160.508 * * [simplify]: Extracting #1: cost 6 inf + 0 160.508 * * [simplify]: Extracting #2: cost 31 inf + 1 160.509 * * [simplify]: Extracting #3: cost 115 inf + 2 160.509 * * [simplify]: Extracting #4: cost 164 inf + 177 160.510 * * [simplify]: Extracting #5: cost 163 inf + 602 160.515 * * [simplify]: Extracting #6: cost 103 inf + 10712 160.529 * * [simplify]: Extracting #7: cost 11 inf + 52411 160.548 * * [simplify]: Extracting #8: cost 1 inf + 59819 160.565 * * [simplify]: Extracting #9: cost 0 inf + 60274 160.583 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 160.584 * [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))))))) 160.584 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 160.585 * * [simplify]: iters left: 6 (14 enodes) 160.593 * * [simplify]: iters left: 5 (59 enodes) 160.613 * * [simplify]: iters left: 4 (98 enodes) 160.630 * * [simplify]: iters left: 3 (138 enodes) 160.658 * * [simplify]: iters left: 2 (231 enodes) 160.716 * * [simplify]: iters left: 1 (408 enodes) 160.922 * * [simplify]: Extracting #0: cost 1 inf + 0 160.922 * * [simplify]: Extracting #1: cost 7 inf + 0 160.922 * * [simplify]: Extracting #2: cost 13 inf + 1 160.922 * * [simplify]: Extracting #3: cost 38 inf + 2 160.922 * * [simplify]: Extracting #4: cost 123 inf + 167 160.923 * * [simplify]: Extracting #5: cost 166 inf + 713 160.925 * * [simplify]: Extracting #6: cost 120 inf + 6008 160.929 * * [simplify]: Extracting #7: cost 53 inf + 20611 160.936 * * [simplify]: Extracting #8: cost 16 inf + 49219 160.949 * * [simplify]: Extracting #9: cost 0 inf + 64962 160.966 * * [simplify]: Extracting #10: cost 0 inf + 62812 160.989 * * [simplify]: Extracting #11: cost 0 inf + 62811 161.009 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 161.009 * [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)))) 161.009 * * * * [progress]: [ 238 / 307 ] simplifiying candidate # 161.009 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 161.009 * * [simplify]: iters left: 5 (4 enodes) 161.014 * * [simplify]: iters left: 4 (14 enodes) 161.016 * * [simplify]: iters left: 3 (16 enodes) 161.017 * * [simplify]: Extracting #0: cost 1 inf + 0 161.017 * * [simplify]: Extracting #1: cost 0 inf + 1 161.018 * [simplify]: Simplified to 1 161.018 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 161.018 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.018 * * [simplify]: iters left: 6 (13 enodes) 161.022 * * [simplify]: iters left: 5 (56 enodes) 161.033 * * [simplify]: iters left: 4 (98 enodes) 161.054 * * [simplify]: iters left: 3 (155 enodes) 161.098 * * [simplify]: iters left: 2 (307 enodes) 161.222 * * [simplify]: Extracting #0: cost 1 inf + 0 161.222 * * [simplify]: Extracting #1: cost 49 inf + 0 161.223 * * [simplify]: Extracting #2: cost 126 inf + 1 161.224 * * [simplify]: Extracting #3: cost 171 inf + 127 161.226 * * [simplify]: Extracting #4: cost 159 inf + 1874 161.232 * * [simplify]: Extracting #5: cost 90 inf + 23886 161.252 * * [simplify]: Extracting #6: cost 13 inf + 73261 161.278 * * [simplify]: Extracting #7: cost 0 inf + 80895 161.293 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 161.293 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 161.293 * * * * [progress]: [ 239 / 307 ] simplifiying candidate # 161.294 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 161.294 * * [simplify]: iters left: 6 (14 enodes) 161.299 * * [simplify]: iters left: 5 (62 enodes) 161.315 * * [simplify]: iters left: 4 (105 enodes) 161.344 * * [simplify]: iters left: 3 (170 enodes) 161.387 * * [simplify]: iters left: 2 (312 enodes) 161.475 * * [simplify]: Extracting #0: cost 1 inf + 0 161.475 * * [simplify]: Extracting #1: cost 21 inf + 0 161.476 * * [simplify]: Extracting #2: cost 96 inf + 2 161.476 * * [simplify]: Extracting #3: cost 146 inf + 176 161.477 * * [simplify]: Extracting #4: cost 144 inf + 802 161.478 * * [simplify]: Extracting #5: cost 101 inf + 5819 161.486 * * [simplify]: Extracting #6: cost 28 inf + 33963 161.497 * * [simplify]: Extracting #7: cost 0 inf + 50820 161.511 * * [simplify]: Extracting #8: cost 0 inf + 50689 161.526 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 161.526 * [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)))))) 161.527 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 161.527 * * [simplify]: iters left: 6 (14 enodes) 161.535 * * [simplify]: iters left: 5 (62 enodes) 161.558 * * [simplify]: iters left: 4 (110 enodes) 161.586 * * [simplify]: iters left: 3 (187 enodes) 161.642 * * [simplify]: iters left: 2 (380 enodes) 161.754 * * [simplify]: Extracting #0: cost 1 inf + 0 161.754 * * [simplify]: Extracting #1: cost 50 inf + 0 161.755 * * [simplify]: Extracting #2: cost 131 inf + 1 161.756 * * [simplify]: Extracting #3: cost 187 inf + 127 161.756 * * [simplify]: Extracting #4: cost 185 inf + 1174 161.759 * * [simplify]: Extracting #5: cost 134 inf + 10300 161.765 * * [simplify]: Extracting #6: cost 49 inf + 53515 161.781 * * [simplify]: Extracting #7: cost 2 inf + 89379 161.805 * * [simplify]: Extracting #8: cost 0 inf + 89328 161.831 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 161.832 * [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)))) 161.832 * * * * [progress]: [ 240 / 307 ] simplifiying candidate # 161.832 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 161.832 * * [simplify]: iters left: 6 (11 enodes) 161.839 * * [simplify]: iters left: 5 (46 enodes) 161.855 * * [simplify]: iters left: 4 (76 enodes) 161.882 * * [simplify]: iters left: 3 (133 enodes) 161.915 * * [simplify]: iters left: 2 (300 enodes) 162.017 * * [simplify]: Extracting #0: cost 1 inf + 0 162.018 * * [simplify]: Extracting #1: cost 41 inf + 0 162.018 * * [simplify]: Extracting #2: cost 125 inf + 1 162.019 * * [simplify]: Extracting #3: cost 172 inf + 4 162.021 * * [simplify]: Extracting #4: cost 172 inf + 972 162.024 * * [simplify]: Extracting #5: cost 131 inf + 9311 162.037 * * [simplify]: Extracting #6: cost 26 inf + 61917 162.048 * * [simplify]: Extracting #7: cost 0 inf + 79563 162.058 * * [simplify]: Extracting #8: cost 0 inf + 79113 162.068 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 162.068 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 162.069 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 162.069 * * [simplify]: iters left: 6 (12 enodes) 162.073 * * [simplify]: iters left: 5 (50 enodes) 162.089 * * [simplify]: iters left: 4 (84 enodes) 162.112 * * [simplify]: iters left: 3 (140 enodes) 162.151 * * [simplify]: iters left: 2 (294 enodes) 162.274 * * [simplify]: Extracting #0: cost 1 inf + 0 162.275 * * [simplify]: Extracting #1: cost 40 inf + 0 162.275 * * [simplify]: Extracting #2: cost 123 inf + 1 162.276 * * [simplify]: Extracting #3: cost 173 inf + 3 162.278 * * [simplify]: Extracting #4: cost 176 inf + 505 162.281 * * [simplify]: Extracting #5: cost 131 inf + 8572 162.290 * * [simplify]: Extracting #6: cost 60 inf + 39394 162.309 * * [simplify]: Extracting #7: cost 4 inf + 77612 162.330 * * [simplify]: Extracting #8: cost 0 inf + 80436 162.355 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 162.355 * [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))))) 162.356 * * * * [progress]: [ 241 / 307 ] simplifiying candidate # 162.356 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 162.356 * * [simplify]: iters left: 6 (16 enodes) 162.365 * * [simplify]: iters left: 5 (67 enodes) 162.388 * * [simplify]: iters left: 4 (107 enodes) 162.424 * * [simplify]: iters left: 3 (157 enodes) 162.480 * * [simplify]: iters left: 2 (268 enodes) 162.555 * * [simplify]: iters left: 1 (444 enodes) 162.710 * * [simplify]: Extracting #0: cost 1 inf + 0 162.710 * * [simplify]: Extracting #1: cost 10 inf + 0 162.710 * * [simplify]: Extracting #2: cost 18 inf + 1 162.710 * * [simplify]: Extracting #3: cost 46 inf + 1 162.711 * * [simplify]: Extracting #4: cost 123 inf + 3 162.712 * * [simplify]: Extracting #5: cost 171 inf + 1459 162.718 * * [simplify]: Extracting #6: cost 90 inf + 19015 162.733 * * [simplify]: Extracting #7: cost 16 inf + 57416 162.753 * * [simplify]: Extracting #8: cost 0 inf + 72501 162.768 * * [simplify]: Extracting #9: cost 0 inf + 72422 162.779 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (sqrt (sqrt k))) 162.779 * [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))))))) 162.782 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 162.782 * * [simplify]: iters left: 6 (15 enodes) 162.786 * * [simplify]: iters left: 5 (62 enodes) 162.799 * * [simplify]: iters left: 4 (96 enodes) 162.829 * * [simplify]: iters left: 3 (138 enodes) 162.868 * * [simplify]: iters left: 2 (246 enodes) 162.931 * * [simplify]: iters left: 1 (420 enodes) 163.089 * * [simplify]: Extracting #0: cost 1 inf + 0 163.089 * * [simplify]: Extracting #1: cost 7 inf + 0 163.089 * * [simplify]: Extracting #2: cost 12 inf + 1 163.090 * * [simplify]: Extracting #3: cost 41 inf + 1 163.090 * * [simplify]: Extracting #4: cost 120 inf + 3 163.091 * * [simplify]: Extracting #5: cost 165 inf + 671 163.095 * * [simplify]: Extracting #6: cost 114 inf + 6825 163.100 * * [simplify]: Extracting #7: cost 58 inf + 19700 163.108 * * [simplify]: Extracting #8: cost 8 inf + 61600 163.119 * * [simplify]: Extracting #9: cost 0 inf + 66890 163.136 * * [simplify]: Extracting #10: cost 0 inf + 66416 163.154 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 163.154 * [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))))) 163.154 * * * * [progress]: [ 242 / 307 ] simplifiying candidate # 163.154 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 163.154 * * [simplify]: iters left: 6 (15 enodes) 163.159 * * [simplify]: iters left: 5 (62 enodes) 163.170 * * [simplify]: iters left: 4 (97 enodes) 163.198 * * [simplify]: iters left: 3 (142 enodes) 163.231 * * [simplify]: iters left: 2 (256 enodes) 163.296 * * [simplify]: iters left: 1 (438 enodes) 163.515 * * [simplify]: Extracting #0: cost 1 inf + 0 163.515 * * [simplify]: Extracting #1: cost 7 inf + 0 163.515 * * [simplify]: Extracting #2: cost 13 inf + 1 163.515 * * [simplify]: Extracting #3: cost 47 inf + 1 163.515 * * [simplify]: Extracting #4: cost 132 inf + 3 163.520 * * [simplify]: Extracting #5: cost 181 inf + 917 163.525 * * [simplify]: Extracting #6: cost 110 inf + 12222 163.538 * * [simplify]: Extracting #7: cost 37 inf + 35882 163.553 * * [simplify]: Extracting #8: cost 3 inf + 63865 163.564 * * [simplify]: Extracting #9: cost 0 inf + 66749 163.574 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 163.574 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 163.575 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 163.575 * * [simplify]: iters left: 6 (15 enodes) 163.584 * * [simplify]: iters left: 5 (62 enodes) 163.604 * * [simplify]: iters left: 4 (97 enodes) 163.634 * * [simplify]: iters left: 3 (142 enodes) 163.674 * * [simplify]: iters left: 2 (256 enodes) 163.740 * * [simplify]: iters left: 1 (438 enodes) 163.947 * * [simplify]: Extracting #0: cost 1 inf + 0 163.947 * * [simplify]: Extracting #1: cost 7 inf + 0 163.947 * * [simplify]: Extracting #2: cost 13 inf + 1 163.947 * * [simplify]: Extracting #3: cost 47 inf + 1 163.948 * * [simplify]: Extracting #4: cost 132 inf + 3 163.950 * * [simplify]: Extracting #5: cost 181 inf + 917 163.954 * * [simplify]: Extracting #6: cost 110 inf + 12222 163.967 * * [simplify]: Extracting #7: cost 37 inf + 35882 163.992 * * [simplify]: Extracting #8: cost 3 inf + 63865 164.013 * * [simplify]: Extracting #9: cost 0 inf + 66749 164.027 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 164.027 * [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 k) 2))) (sqrt (sqrt k))))) 164.027 * * * * [progress]: [ 243 / 307 ] simplifiying candidate # 164.027 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 164.027 * * [simplify]: iters left: 6 (6 enodes) 164.030 * * [simplify]: iters left: 5 (20 enodes) 164.035 * * [simplify]: iters left: 4 (24 enodes) 164.038 * * [simplify]: iters left: 3 (25 enodes) 164.042 * * [simplify]: Extracting #0: cost 1 inf + 0 164.042 * * [simplify]: Extracting #1: cost 4 inf + 0 164.042 * * [simplify]: Extracting #2: cost 5 inf + 1 164.042 * * [simplify]: Extracting #3: cost 7 inf + 1 164.042 * * [simplify]: Extracting #4: cost 6 inf + 2 164.042 * * [simplify]: Extracting #5: cost 0 inf + 490 164.042 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 164.042 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 164.042 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.042 * * [simplify]: iters left: 6 (14 enodes) 164.048 * * [simplify]: iters left: 5 (59 enodes) 164.068 * * [simplify]: iters left: 4 (101 enodes) 164.100 * * [simplify]: iters left: 3 (158 enodes) 164.138 * * [simplify]: iters left: 2 (310 enodes) 164.230 * * [simplify]: Extracting #0: cost 1 inf + 0 164.230 * * [simplify]: Extracting #1: cost 49 inf + 0 164.230 * * [simplify]: Extracting #2: cost 132 inf + 1 164.231 * * [simplify]: Extracting #3: cost 185 inf + 3 164.232 * * [simplify]: Extracting #4: cost 166 inf + 3860 164.239 * * [simplify]: Extracting #5: cost 104 inf + 21672 164.257 * * [simplify]: Extracting #6: cost 22 inf + 77192 164.284 * * [simplify]: Extracting #7: cost 0 inf + 94262 164.315 * * [simplify]: Extracting #8: cost 0 inf + 91724 164.341 * * [simplify]: Extracting #9: cost 0 inf + 90868 164.355 * * [simplify]: Extracting #10: cost 0 inf + 90737 164.370 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 164.370 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 164.370 * * * * [progress]: [ 244 / 307 ] simplifiying candidate # 164.370 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 164.370 * * [simplify]: iters left: 6 (15 enodes) 164.375 * * [simplify]: iters left: 5 (65 enodes) 164.389 * * [simplify]: iters left: 4 (107 enodes) 164.430 * * [simplify]: iters left: 3 (174 enodes) 164.498 * * [simplify]: iters left: 2 (352 enodes) 164.612 * * [simplify]: Extracting #0: cost 1 inf + 0 164.612 * * [simplify]: Extracting #1: cost 49 inf + 0 164.613 * * [simplify]: Extracting #2: cost 129 inf + 1 164.614 * * [simplify]: Extracting #3: cost 185 inf + 3 164.615 * * [simplify]: Extracting #4: cost 174 inf + 3452 164.623 * * [simplify]: Extracting #5: cost 83 inf + 35919 164.636 * * [simplify]: Extracting #6: cost 1 inf + 92137 164.651 * * [simplify]: Extracting #7: cost 0 inf + 90456 164.666 * * [simplify]: Extracting #8: cost 0 inf + 90367 164.679 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 164.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 164.680 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 164.680 * * [simplify]: iters left: 6 (15 enodes) 164.689 * * [simplify]: iters left: 5 (65 enodes) 164.711 * * [simplify]: iters left: 4 (107 enodes) 164.749 * * [simplify]: iters left: 3 (174 enodes) 164.790 * * [simplify]: iters left: 2 (352 enodes) 164.953 * * [simplify]: Extracting #0: cost 1 inf + 0 164.954 * * [simplify]: Extracting #1: cost 49 inf + 0 164.954 * * [simplify]: Extracting #2: cost 129 inf + 1 164.955 * * [simplify]: Extracting #3: cost 185 inf + 3 164.958 * * [simplify]: Extracting #4: cost 174 inf + 3452 164.971 * * [simplify]: Extracting #5: cost 83 inf + 35919 164.996 * * [simplify]: Extracting #6: cost 1 inf + 92137 165.023 * * [simplify]: Extracting #7: cost 0 inf + 90456 165.051 * * [simplify]: Extracting #8: cost 0 inf + 90367 165.079 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 165.079 * [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 k) 4)) (sqrt (sqrt k))))) 165.079 * * * * [progress]: [ 245 / 307 ] simplifiying candidate # 165.079 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 165.080 * * [simplify]: iters left: 6 (9 enodes) 165.086 * * [simplify]: iters left: 5 (38 enodes) 165.100 * * [simplify]: iters left: 4 (66 enodes) 165.124 * * [simplify]: iters left: 3 (122 enodes) 165.164 * * [simplify]: iters left: 2 (249 enodes) 165.266 * * [simplify]: Extracting #0: cost 1 inf + 0 165.266 * * [simplify]: Extracting #1: cost 37 inf + 0 165.267 * * [simplify]: Extracting #2: cost 114 inf + 3 165.268 * * [simplify]: Extracting #3: cost 158 inf + 6 165.269 * * [simplify]: Extracting #4: cost 151 inf + 761 165.273 * * [simplify]: Extracting #5: cost 99 inf + 8279 165.283 * * [simplify]: Extracting #6: cost 37 inf + 37241 165.299 * * [simplify]: Extracting #7: cost 2 inf + 62020 165.315 * * [simplify]: Extracting #8: cost 0 inf + 61986 165.332 * * [simplify]: Extracting #9: cost 0 inf + 61724 165.349 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 165.350 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 165.350 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 165.350 * * [simplify]: iters left: 6 (11 enodes) 165.357 * * [simplify]: iters left: 5 (47 enodes) 165.378 * * [simplify]: iters left: 4 (77 enodes) 165.404 * * [simplify]: iters left: 3 (134 enodes) 165.435 * * [simplify]: iters left: 2 (301 enodes) 165.536 * * [simplify]: Extracting #0: cost 1 inf + 0 165.536 * * [simplify]: Extracting #1: cost 42 inf + 0 165.537 * * [simplify]: Extracting #2: cost 127 inf + 1 165.537 * * [simplify]: Extracting #3: cost 170 inf + 168 165.538 * * [simplify]: Extracting #4: cost 156 inf + 2706 165.540 * * [simplify]: Extracting #5: cost 127 inf + 9088 165.546 * * [simplify]: Extracting #6: cost 39 inf + 59079 165.559 * * [simplify]: Extracting #7: cost 1 inf + 83663 165.570 * * [simplify]: Extracting #8: cost 0 inf + 82115 165.584 * * [simplify]: Extracting #9: cost 0 inf + 80891 165.607 * * [simplify]: Extracting #10: cost 0 inf + 80842 165.628 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 165.628 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 165.628 * * * * [progress]: [ 246 / 307 ] simplifiying candidate # 165.629 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.629 * * [simplify]: iters left: 6 (14 enodes) 165.638 * * [simplify]: iters left: 5 (59 enodes) 165.658 * * [simplify]: iters left: 4 (97 enodes) 165.691 * * [simplify]: iters left: 3 (148 enodes) 165.734 * * [simplify]: iters left: 2 (242 enodes) 165.784 * * [simplify]: iters left: 1 (422 enodes) 165.948 * * [simplify]: Extracting #0: cost 1 inf + 0 165.948 * * [simplify]: Extracting #1: cost 6 inf + 0 165.949 * * [simplify]: Extracting #2: cost 9 inf + 1 165.949 * * [simplify]: Extracting #3: cost 38 inf + 1 165.949 * * [simplify]: Extracting #4: cost 115 inf + 2 165.950 * * [simplify]: Extracting #5: cost 162 inf + 218 165.952 * * [simplify]: Extracting #6: cost 163 inf + 1059 165.956 * * [simplify]: Extracting #7: cost 95 inf + 12595 165.970 * * [simplify]: Extracting #8: cost 22 inf + 50809 165.998 * * [simplify]: Extracting #9: cost 0 inf + 67509 166.016 * * [simplify]: Extracting #10: cost 0 inf + 63219 166.033 * * [simplify]: Extracting #11: cost 0 inf + 62286 166.058 * * [simplify]: Extracting #12: cost 0 inf + 62005 166.076 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 166.076 * [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))))))) 166.076 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.076 * * [simplify]: iters left: 6 (14 enodes) 166.081 * * [simplify]: iters left: 5 (59 enodes) 166.098 * * [simplify]: iters left: 4 (97 enodes) 166.116 * * [simplify]: iters left: 3 (137 enodes) 166.149 * * [simplify]: iters left: 2 (229 enodes) 166.228 * * [simplify]: iters left: 1 (418 enodes) 166.388 * * [simplify]: Extracting #0: cost 1 inf + 0 166.388 * * [simplify]: Extracting #1: cost 7 inf + 0 166.388 * * [simplify]: Extracting #2: cost 12 inf + 1 166.388 * * [simplify]: Extracting #3: cost 37 inf + 2 166.388 * * [simplify]: Extracting #4: cost 113 inf + 167 166.389 * * [simplify]: Extracting #5: cost 171 inf + 465 166.391 * * [simplify]: Extracting #6: cost 118 inf + 8809 166.395 * * [simplify]: Extracting #7: cost 57 inf + 23159 166.407 * * [simplify]: Extracting #8: cost 7 inf + 60171 166.418 * * [simplify]: Extracting #9: cost 0 inf + 67068 166.438 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 166.438 * [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)))) 166.438 * * * * [progress]: [ 247 / 307 ] simplifiying candidate # 166.439 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.439 * * [simplify]: iters left: 6 (13 enodes) 166.447 * * [simplify]: iters left: 5 (54 enodes) 166.457 * * [simplify]: iters left: 4 (89 enodes) 166.473 * * [simplify]: iters left: 3 (134 enodes) 166.514 * * [simplify]: iters left: 2 (217 enodes) 166.572 * * [simplify]: iters left: 1 (399 enodes) 166.756 * * [simplify]: Extracting #0: cost 1 inf + 0 166.756 * * [simplify]: Extracting #1: cost 6 inf + 0 166.756 * * [simplify]: Extracting #2: cost 37 inf + 1 166.757 * * [simplify]: Extracting #3: cost 121 inf + 2 166.758 * * [simplify]: Extracting #4: cost 170 inf + 177 166.760 * * [simplify]: Extracting #5: cost 165 inf + 642 166.765 * * [simplify]: Extracting #6: cost 78 inf + 14976 166.779 * * [simplify]: Extracting #7: cost 22 inf + 45491 166.788 * * [simplify]: Extracting #8: cost 0 inf + 64916 166.798 * [simplify]: Simplified to (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) 166.798 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 166.798 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 166.798 * * [simplify]: iters left: 6 (14 enodes) 166.802 * * [simplify]: iters left: 5 (59 enodes) 166.813 * * [simplify]: iters left: 4 (98 enodes) 166.840 * * [simplify]: iters left: 3 (138 enodes) 166.865 * * [simplify]: iters left: 2 (231 enodes) 166.912 * * [simplify]: iters left: 1 (408 enodes) 167.105 * * [simplify]: Extracting #0: cost 1 inf + 0 167.105 * * [simplify]: Extracting #1: cost 7 inf + 0 167.105 * * [simplify]: Extracting #2: cost 13 inf + 1 167.106 * * [simplify]: Extracting #3: cost 38 inf + 2 167.106 * * [simplify]: Extracting #4: cost 123 inf + 167 167.108 * * [simplify]: Extracting #5: cost 166 inf + 713 167.111 * * [simplify]: Extracting #6: cost 120 inf + 6008 167.115 * * [simplify]: Extracting #7: cost 53 inf + 20611 167.125 * * [simplify]: Extracting #8: cost 16 inf + 49219 167.136 * * [simplify]: Extracting #9: cost 0 inf + 64962 167.147 * * [simplify]: Extracting #10: cost 0 inf + 62812 167.159 * * [simplify]: Extracting #11: cost 0 inf + 62811 167.170 * [simplify]: Simplified to (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 167.170 * [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)))) 167.170 * * * * [progress]: [ 248 / 307 ] simplifiying candidate # 167.171 * [simplify]: Simplifying (/ 1 (/ 1 1)) 167.171 * * [simplify]: iters left: 4 (3 enodes) 167.173 * * [simplify]: iters left: 3 (7 enodes) 167.175 * * [simplify]: iters left: 2 (9 enodes) 167.178 * * [simplify]: Extracting #0: cost 1 inf + 0 167.178 * * [simplify]: Extracting #1: cost 0 inf + 1 167.178 * [simplify]: Simplified to 1 167.178 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 167.178 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 167.178 * * [simplify]: iters left: 6 (13 enodes) 167.186 * * [simplify]: iters left: 5 (56 enodes) 167.206 * * [simplify]: iters left: 4 (98 enodes) 167.238 * * [simplify]: iters left: 3 (155 enodes) 167.279 * * [simplify]: iters left: 2 (307 enodes) 167.395 * * [simplify]: Extracting #0: cost 1 inf + 0 167.395 * * [simplify]: Extracting #1: cost 49 inf + 0 167.396 * * [simplify]: Extracting #2: cost 126 inf + 1 167.396 * * [simplify]: Extracting #3: cost 171 inf + 127 167.397 * * [simplify]: Extracting #4: cost 159 inf + 1874 167.400 * * [simplify]: Extracting #5: cost 90 inf + 23886 167.410 * * [simplify]: Extracting #6: cost 13 inf + 73261 167.429 * * [simplify]: Extracting #7: cost 0 inf + 80895 167.445 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 167.445 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 167.445 * * * * [progress]: [ 249 / 307 ] simplifiying candidate # 167.446 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 167.446 * * [simplify]: iters left: 6 (13 enodes) 167.451 * * [simplify]: iters left: 5 (57 enodes) 167.464 * * [simplify]: iters left: 4 (96 enodes) 167.499 * * [simplify]: iters left: 3 (170 enodes) 167.565 * * [simplify]: iters left: 2 (338 enodes) 167.681 * * [simplify]: Extracting #0: cost 1 inf + 0 167.681 * * [simplify]: Extracting #1: cost 34 inf + 0 167.682 * * [simplify]: Extracting #2: cost 123 inf + 2 167.682 * * [simplify]: Extracting #3: cost 174 inf + 259 167.684 * * [simplify]: Extracting #4: cost 158 inf + 1885 167.690 * * [simplify]: Extracting #5: cost 81 inf + 20153 167.706 * * [simplify]: Extracting #6: cost 16 inf + 59866 167.729 * * [simplify]: Extracting #7: cost 0 inf + 71042 167.752 * * [simplify]: Extracting #8: cost 0 inf + 71002 167.775 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 167.775 * [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)))))) 167.776 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 167.776 * * [simplify]: iters left: 6 (14 enodes) 167.785 * * [simplify]: iters left: 5 (62 enodes) 167.810 * * [simplify]: iters left: 4 (110 enodes) 167.841 * * [simplify]: iters left: 3 (187 enodes) 167.891 * * [simplify]: iters left: 2 (380 enodes) 168.010 * * [simplify]: Extracting #0: cost 1 inf + 0 168.010 * * [simplify]: Extracting #1: cost 50 inf + 0 168.011 * * [simplify]: Extracting #2: cost 131 inf + 1 168.012 * * [simplify]: Extracting #3: cost 187 inf + 127 168.014 * * [simplify]: Extracting #4: cost 185 inf + 1174 168.017 * * [simplify]: Extracting #5: cost 134 inf + 10300 168.029 * * [simplify]: Extracting #6: cost 49 inf + 53515 168.051 * * [simplify]: Extracting #7: cost 2 inf + 89379 168.065 * * [simplify]: Extracting #8: cost 0 inf + 89328 168.081 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 168.081 * [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)))) 168.081 * * * * [progress]: [ 250 / 307 ] simplifiying candidate # 168.082 * [simplify]: Simplifying (/ 1 1) 168.082 * * [simplify]: iters left: 2 (2 enodes) 168.083 * * [simplify]: iters left: 1 (6 enodes) 168.086 * * [simplify]: Extracting #0: cost 1 inf + 0 168.086 * * [simplify]: Extracting #1: cost 0 inf + 1 168.086 * [simplify]: Simplified to 1 168.086 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 168.086 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.086 * * [simplify]: iters left: 6 (13 enodes) 168.095 * * [simplify]: iters left: 5 (56 enodes) 168.107 * * [simplify]: iters left: 4 (98 enodes) 168.127 * * [simplify]: iters left: 3 (155 enodes) 168.173 * * [simplify]: iters left: 2 (307 enodes) 168.272 * * [simplify]: Extracting #0: cost 1 inf + 0 168.275 * * [simplify]: Extracting #1: cost 49 inf + 0 168.276 * * [simplify]: Extracting #2: cost 126 inf + 1 168.277 * * [simplify]: Extracting #3: cost 171 inf + 127 168.279 * * [simplify]: Extracting #4: cost 159 inf + 1874 168.285 * * [simplify]: Extracting #5: cost 90 inf + 23886 168.296 * * [simplify]: Extracting #6: cost 13 inf + 73261 168.308 * * [simplify]: Extracting #7: cost 0 inf + 80895 168.322 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 168.322 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 168.322 * * * * [progress]: [ 251 / 307 ] simplifiying candidate # 168.323 * [simplify]: Simplifying (/ 1 (sqrt k)) 168.323 * * [simplify]: iters left: 3 (4 enodes) 168.325 * * [simplify]: iters left: 2 (14 enodes) 168.330 * * [simplify]: iters left: 1 (16 enodes) 168.333 * * [simplify]: Extracting #0: cost 1 inf + 0 168.333 * * [simplify]: Extracting #1: cost 4 inf + 0 168.333 * * [simplify]: Extracting #2: cost 5 inf + 1 168.333 * * [simplify]: Extracting #3: cost 3 inf + 43 168.334 * * [simplify]: Extracting #4: cost 1 inf + 166 168.334 * * [simplify]: Extracting #5: cost 0 inf + 248 168.334 * [simplify]: Simplified to (/ 1 (sqrt k)) 168.334 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 168.334 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.334 * * [simplify]: iters left: 6 (12 enodes) 168.338 * * [simplify]: iters left: 5 (51 enodes) 168.348 * * [simplify]: iters left: 4 (87 enodes) 168.364 * * [simplify]: iters left: 3 (149 enodes) 168.402 * * [simplify]: iters left: 2 (278 enodes) 168.512 * * [simplify]: Extracting #0: cost 1 inf + 0 168.512 * * [simplify]: Extracting #1: cost 34 inf + 0 168.512 * * [simplify]: Extracting #2: cost 114 inf + 2 168.513 * * [simplify]: Extracting #3: cost 156 inf + 174 168.513 * * [simplify]: Extracting #4: cost 142 inf + 1804 168.515 * * [simplify]: Extracting #5: cost 89 inf + 13609 168.521 * * [simplify]: Extracting #6: cost 40 inf + 35162 168.530 * * [simplify]: Extracting #7: cost 3 inf + 61933 168.540 * * [simplify]: Extracting #8: cost 0 inf + 64474 168.550 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 168.550 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 168.550 * * * * [progress]: [ 252 / 307 ] simplifiying candidate # 168.550 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 168.551 * * [simplify]: iters left: 6 (12 enodes) 168.562 * * [simplify]: iters left: 5 (48 enodes) 168.580 * * [simplify]: iters left: 4 (83 enodes) 168.602 * * [simplify]: iters left: 3 (143 enodes) 168.649 * * [simplify]: iters left: 2 (290 enodes) 168.768 * * [simplify]: Extracting #0: cost 1 inf + 0 168.768 * * [simplify]: Extracting #1: cost 38 inf + 0 168.769 * * [simplify]: Extracting #2: cost 104 inf + 1 168.769 * * [simplify]: Extracting #3: cost 103 inf + 255 168.770 * * [simplify]: Extracting #4: cost 98 inf + 508 168.772 * * [simplify]: Extracting #5: cost 72 inf + 8366 168.781 * * [simplify]: Extracting #6: cost 8 inf + 45634 168.793 * * [simplify]: Extracting #7: cost 0 inf + 51156 168.805 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 168.805 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 168.805 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 168.806 * * [simplify]: iters left: 6 (10 enodes) 168.811 * * [simplify]: iters left: 5 (39 enodes) 168.819 * * [simplify]: iters left: 4 (63 enodes) 168.830 * * [simplify]: iters left: 3 (98 enodes) 168.853 * * [simplify]: iters left: 2 (168 enodes) 168.897 * * [simplify]: iters left: 1 (314 enodes) 169.043 * * [simplify]: Extracting #0: cost 1 inf + 0 169.043 * * [simplify]: Extracting #1: cost 6 inf + 0 169.044 * * [simplify]: Extracting #2: cost 39 inf + 1 169.044 * * [simplify]: Extracting #3: cost 126 inf + 2 169.045 * * [simplify]: Extracting #4: cost 145 inf + 384 169.049 * * [simplify]: Extracting #5: cost 100 inf + 5000 169.056 * * [simplify]: Extracting #6: cost 38 inf + 40022 169.073 * * [simplify]: Extracting #7: cost 1 inf + 67924 169.092 * * [simplify]: Extracting #8: cost 0 inf + 67936 169.108 * * [simplify]: Extracting #9: cost 0 inf + 67766 169.117 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 169.117 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 169.117 * * * * [progress]: [ 253 / 307 ] simplifiying candidate # 169.117 * * * * [progress]: [ 254 / 307 ] simplifiying candidate # 169.117 * * * * [progress]: [ 255 / 307 ] simplifiying candidate # 169.117 * * * * [progress]: [ 256 / 307 ] simplifiying candidate # 169.117 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.117 * * [simplify]: iters left: 6 (13 enodes) 169.122 * * [simplify]: iters left: 5 (54 enodes) 169.132 * * [simplify]: iters left: 4 (89 enodes) 169.148 * * [simplify]: iters left: 3 (135 enodes) 169.179 * * [simplify]: iters left: 2 (222 enodes) 169.245 * * [simplify]: iters left: 1 (417 enodes) 169.460 * * [simplify]: Extracting #0: cost 1 inf + 0 169.460 * * [simplify]: Extracting #1: cost 3 inf + 0 169.460 * * [simplify]: Extracting #2: cost 8 inf + 0 169.460 * * [simplify]: Extracting #3: cost 43 inf + 0 169.461 * * [simplify]: Extracting #4: cost 140 inf + 43 169.462 * * [simplify]: Extracting #5: cost 190 inf + 427 169.466 * * [simplify]: Extracting #6: cost 120 inf + 20963 169.476 * * [simplify]: Extracting #7: cost 13 inf + 70685 169.802 * * [simplify]: Extracting #8: cost 0 inf + 77817 169.825 * * [simplify]: Extracting #9: cost 0 inf + 77696 169.848 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.848 * [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)))))) 169.848 * * * * [progress]: [ 257 / 307 ] simplifiying candidate # 169.848 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.849 * * [simplify]: iters left: 6 (13 enodes) 169.856 * * [simplify]: iters left: 5 (54 enodes) 169.874 * * [simplify]: iters left: 4 (89 enodes) 169.902 * * [simplify]: iters left: 3 (135 enodes) 169.932 * * [simplify]: iters left: 2 (222 enodes) 170.002 * * [simplify]: iters left: 1 (417 enodes) 170.172 * * [simplify]: Extracting #0: cost 1 inf + 0 170.172 * * [simplify]: Extracting #1: cost 3 inf + 0 170.172 * * [simplify]: Extracting #2: cost 8 inf + 0 170.173 * * [simplify]: Extracting #3: cost 43 inf + 0 170.173 * * [simplify]: Extracting #4: cost 140 inf + 43 170.175 * * [simplify]: Extracting #5: cost 190 inf + 427 170.181 * * [simplify]: Extracting #6: cost 120 inf + 20923 170.194 * * [simplify]: Extracting #7: cost 13 inf + 70605 170.213 * * [simplify]: Extracting #8: cost 0 inf + 77737 170.236 * * [simplify]: Extracting #9: cost 0 inf + 77616 170.248 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.248 * [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)))))) 170.248 * * * * [progress]: [ 258 / 307 ] simplifiying candidate # 170.248 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 170.248 * * [simplify]: iters left: 6 (11 enodes) 170.252 * * [simplify]: iters left: 5 (45 enodes) 170.261 * * [simplify]: iters left: 4 (68 enodes) 170.276 * * [simplify]: iters left: 3 (110 enodes) 170.302 * * [simplify]: iters left: 2 (217 enodes) 170.362 * * [simplify]: iters left: 1 (409 enodes) 170.530 * * [simplify]: Extracting #0: cost 1 inf + 0 170.531 * * [simplify]: Extracting #1: cost 6 inf + 0 170.531 * * [simplify]: Extracting #2: cost 42 inf + 0 170.532 * * [simplify]: Extracting #3: cost 137 inf + 1 170.533 * * [simplify]: Extracting #4: cost 192 inf + 1125 170.539 * * [simplify]: Extracting #5: cost 129 inf + 15257 170.553 * * [simplify]: Extracting #6: cost 17 inf + 66679 170.565 * * [simplify]: Extracting #7: cost 0 inf + 76084 170.575 * * [simplify]: Extracting #8: cost 0 inf + 75962 170.593 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 170.593 * [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)))))) 170.593 * * * * [progress]: [ 259 / 307 ] simplifiying candidate # 170.593 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.593 * * [simplify]: iters left: 6 (14 enodes) 170.598 * * [simplify]: iters left: 5 (57 enodes) 170.612 * * [simplify]: iters left: 4 (90 enodes) 170.638 * * [simplify]: iters left: 3 (128 enodes) 170.662 * * [simplify]: iters left: 2 (208 enodes) 170.741 * * [simplify]: iters left: 1 (391 enodes) 170.930 * * [simplify]: Extracting #0: cost 1 inf + 0 170.931 * * [simplify]: Extracting #1: cost 4 inf + 0 170.931 * * [simplify]: Extracting #2: cost 8 inf + 0 170.931 * * [simplify]: Extracting #3: cost 39 inf + 0 170.931 * * [simplify]: Extracting #4: cost 119 inf + 43 170.932 * * [simplify]: Extracting #5: cost 174 inf + 380 170.933 * * [simplify]: Extracting #6: cost 122 inf + 9329 170.937 * * [simplify]: Extracting #7: cost 62 inf + 21467 170.953 * * [simplify]: Extracting #8: cost 14 inf + 56034 170.965 * * [simplify]: Extracting #9: cost 0 inf + 70061 170.976 * * [simplify]: Extracting #10: cost 0 inf + 69217 170.988 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 170.989 * [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)))))) 170.989 * * * * [progress]: [ 260 / 307 ] simplifiying candidate # 170.989 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 170.989 * * [simplify]: iters left: 6 (14 enodes) 170.996 * * [simplify]: iters left: 5 (57 enodes) 171.011 * * [simplify]: iters left: 4 (91 enodes) 171.028 * * [simplify]: iters left: 3 (129 enodes) 171.054 * * [simplify]: iters left: 2 (209 enodes) 171.110 * * [simplify]: iters left: 1 (390 enodes) 171.268 * * [simplify]: Extracting #0: cost 1 inf + 0 171.268 * * [simplify]: Extracting #1: cost 4 inf + 0 171.268 * * [simplify]: Extracting #2: cost 9 inf + 0 171.268 * * [simplify]: Extracting #3: cost 43 inf + 0 171.269 * * [simplify]: Extracting #4: cost 133 inf + 43 171.269 * * [simplify]: Extracting #5: cost 163 inf + 465 171.271 * * [simplify]: Extracting #6: cost 112 inf + 6711 171.274 * * [simplify]: Extracting #7: cost 64 inf + 15827 171.282 * * [simplify]: Extracting #8: cost 27 inf + 43973 171.300 * * [simplify]: Extracting #9: cost 0 inf + 66304 171.313 * * [simplify]: Extracting #10: cost 0 inf + 65210 171.329 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 171.329 * [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)))))) 171.329 * * * * [progress]: [ 261 / 307 ] simplifiying candidate # 171.330 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 171.330 * * [simplify]: iters left: 6 (13 enodes) 171.337 * * [simplify]: iters left: 5 (54 enodes) 171.353 * * [simplify]: iters left: 4 (85 enodes) 171.378 * * [simplify]: iters left: 3 (129 enodes) 171.415 * * [simplify]: iters left: 2 (231 enodes) 171.473 * * [simplify]: iters left: 1 (414 enodes) 171.649 * * [simplify]: Extracting #0: cost 1 inf + 0 171.650 * * [simplify]: Extracting #1: cost 6 inf + 0 171.650 * * [simplify]: Extracting #2: cost 41 inf + 0 171.650 * * [simplify]: Extracting #3: cost 135 inf + 1 171.652 * * [simplify]: Extracting #4: cost 175 inf + 668 171.654 * * [simplify]: Extracting #5: cost 140 inf + 4264 171.661 * * [simplify]: Extracting #6: cost 75 inf + 19129 171.680 * * [simplify]: Extracting #7: cost 8 inf + 69198 171.704 * * [simplify]: Extracting #8: cost 0 inf + 74121 171.727 * * [simplify]: Extracting #9: cost 0 inf + 73528 171.739 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 171.739 * [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))))) 171.740 * * * * [progress]: [ 262 / 307 ] simplifiying candidate # 171.740 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 171.740 * * [simplify]: iters left: 6 (14 enodes) 171.744 * * [simplify]: iters left: 5 (60 enodes) 171.755 * * [simplify]: iters left: 4 (98 enodes) 171.775 * * [simplify]: iters left: 3 (157 enodes) 171.806 * * [simplify]: iters left: 2 (285 enodes) 171.862 * * [simplify]: Extracting #0: cost 1 inf + 0 171.862 * * [simplify]: Extracting #1: cost 6 inf + 0 171.862 * * [simplify]: Extracting #2: cost 26 inf + 0 171.862 * * [simplify]: Extracting #3: cost 95 inf + 1 171.862 * * [simplify]: Extracting #4: cost 120 inf + 383 171.864 * * [simplify]: Extracting #5: cost 77 inf + 6104 171.867 * * [simplify]: Extracting #6: cost 13 inf + 27686 171.873 * * [simplify]: Extracting #7: cost 0 inf + 36770 171.878 * * [simplify]: Extracting #8: cost 0 inf + 36275 171.883 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 171.884 * [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 (- 1 k)))))) 171.884 * * * * [progress]: [ 263 / 307 ] simplifiying candidate # 171.884 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 171.884 * * [simplify]: iters left: 6 (11 enodes) 171.888 * * [simplify]: iters left: 5 (45 enodes) 171.901 * * [simplify]: iters left: 4 (68 enodes) 171.923 * * [simplify]: iters left: 3 (110 enodes) 171.949 * * [simplify]: iters left: 2 (217 enodes) 171.992 * * [simplify]: iters left: 1 (409 enodes) 172.113 * * [simplify]: Extracting #0: cost 1 inf + 0 172.113 * * [simplify]: Extracting #1: cost 6 inf + 0 172.113 * * [simplify]: Extracting #2: cost 42 inf + 0 172.113 * * [simplify]: Extracting #3: cost 137 inf + 1 172.114 * * [simplify]: Extracting #4: cost 192 inf + 1205 172.117 * * [simplify]: Extracting #5: cost 129 inf + 15337 172.126 * * [simplify]: Extracting #6: cost 17 inf + 66759 172.137 * * [simplify]: Extracting #7: cost 0 inf + 76164 172.151 * * [simplify]: Extracting #8: cost 0 inf + 76042 172.162 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 172.162 * [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)))))) 172.162 * * * * [progress]: [ 264 / 307 ] simplifiying candidate # 172.162 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.162 * * [simplify]: iters left: 6 (14 enodes) 172.167 * * [simplify]: iters left: 5 (57 enodes) 172.178 * * [simplify]: iters left: 4 (90 enodes) 172.195 * * [simplify]: iters left: 3 (128 enodes) 172.218 * * [simplify]: iters left: 2 (208 enodes) 172.263 * * [simplify]: iters left: 1 (391 enodes) 172.434 * * [simplify]: Extracting #0: cost 1 inf + 0 172.434 * * [simplify]: Extracting #1: cost 4 inf + 0 172.434 * * [simplify]: Extracting #2: cost 8 inf + 0 172.434 * * [simplify]: Extracting #3: cost 39 inf + 0 172.434 * * [simplify]: Extracting #4: cost 119 inf + 83 172.435 * * [simplify]: Extracting #5: cost 174 inf + 460 172.437 * * [simplify]: Extracting #6: cost 122 inf + 9409 172.443 * * [simplify]: Extracting #7: cost 62 inf + 21547 172.458 * * [simplify]: Extracting #8: cost 14 inf + 56114 172.474 * * [simplify]: Extracting #9: cost 0 inf + 70141 172.484 * * [simplify]: Extracting #10: cost 0 inf + 69297 172.494 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 172.494 * [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)))))) 172.494 * * * * [progress]: [ 265 / 307 ] simplifiying candidate # 172.494 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.494 * * [simplify]: iters left: 6 (14 enodes) 172.498 * * [simplify]: iters left: 5 (57 enodes) 172.510 * * [simplify]: iters left: 4 (91 enodes) 172.528 * * [simplify]: iters left: 3 (129 enodes) 172.557 * * [simplify]: iters left: 2 (209 enodes) 172.619 * * [simplify]: iters left: 1 (390 enodes) 172.762 * * [simplify]: Extracting #0: cost 1 inf + 0 172.762 * * [simplify]: Extracting #1: cost 4 inf + 0 172.763 * * [simplify]: Extracting #2: cost 9 inf + 0 172.763 * * [simplify]: Extracting #3: cost 43 inf + 0 172.763 * * [simplify]: Extracting #4: cost 133 inf + 83 172.764 * * [simplify]: Extracting #5: cost 163 inf + 545 172.765 * * [simplify]: Extracting #6: cost 112 inf + 6791 172.769 * * [simplify]: Extracting #7: cost 64 inf + 15907 172.775 * * [simplify]: Extracting #8: cost 27 inf + 44053 172.793 * * [simplify]: Extracting #9: cost 0 inf + 66384 172.804 * * [simplify]: Extracting #10: cost 0 inf + 65290 172.813 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 172.814 * [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)))))) 172.814 * * * * [progress]: [ 266 / 307 ] simplifiying candidate # 172.814 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 172.814 * * [simplify]: iters left: 6 (13 enodes) 172.818 * * [simplify]: iters left: 5 (54 enodes) 172.829 * * [simplify]: iters left: 4 (85 enodes) 172.846 * * [simplify]: iters left: 3 (129 enodes) 172.874 * * [simplify]: iters left: 2 (231 enodes) 172.929 * * [simplify]: iters left: 1 (414 enodes) 173.108 * * [simplify]: Extracting #0: cost 1 inf + 0 173.108 * * [simplify]: Extracting #1: cost 6 inf + 0 173.109 * * [simplify]: Extracting #2: cost 41 inf + 0 173.109 * * [simplify]: Extracting #3: cost 135 inf + 1 173.111 * * [simplify]: Extracting #4: cost 175 inf + 708 173.113 * * [simplify]: Extracting #5: cost 140 inf + 4344 173.120 * * [simplify]: Extracting #6: cost 75 inf + 19209 173.139 * * [simplify]: Extracting #7: cost 8 inf + 69278 173.159 * * [simplify]: Extracting #8: cost 0 inf + 74201 173.171 * * [simplify]: Extracting #9: cost 0 inf + 73608 173.187 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 173.187 * [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))))) 173.187 * * * * [progress]: [ 267 / 307 ] simplifiying candidate # 173.187 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 173.187 * * [simplify]: iters left: 6 (14 enodes) 173.192 * * [simplify]: iters left: 5 (60 enodes) 173.203 * * [simplify]: iters left: 4 (98 enodes) 173.222 * * [simplify]: iters left: 3 (157 enodes) 173.275 * * [simplify]: iters left: 2 (285 enodes) 173.376 * * [simplify]: Extracting #0: cost 1 inf + 0 173.376 * * [simplify]: Extracting #1: cost 6 inf + 0 173.376 * * [simplify]: Extracting #2: cost 26 inf + 0 173.376 * * [simplify]: Extracting #3: cost 95 inf + 1 173.377 * * [simplify]: Extracting #4: cost 120 inf + 423 173.379 * * [simplify]: Extracting #5: cost 77 inf + 6184 173.387 * * [simplify]: Extracting #6: cost 13 inf + 27766 173.397 * * [simplify]: Extracting #7: cost 0 inf + 36850 173.408 * * [simplify]: Extracting #8: cost 0 inf + 36355 173.419 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 173.419 * [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 (- 1 k)))))) 173.419 * * * * [progress]: [ 268 / 307 ] simplifiying candidate # 173.419 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 173.420 * * [simplify]: iters left: 6 (11 enodes) 173.426 * * [simplify]: iters left: 5 (45 enodes) 173.438 * * [simplify]: iters left: 4 (68 enodes) 173.451 * * [simplify]: iters left: 3 (110 enodes) 173.486 * * [simplify]: iters left: 2 (217 enodes) 173.543 * * [simplify]: iters left: 1 (409 enodes) 173.713 * * [simplify]: Extracting #0: cost 1 inf + 0 173.713 * * [simplify]: Extracting #1: cost 6 inf + 0 173.713 * * [simplify]: Extracting #2: cost 42 inf + 0 173.714 * * [simplify]: Extracting #3: cost 137 inf + 1 173.716 * * [simplify]: Extracting #4: cost 192 inf + 1045 173.721 * * [simplify]: Extracting #5: cost 129 inf + 15057 173.744 * * [simplify]: Extracting #6: cost 17 inf + 65999 173.766 * * [simplify]: Extracting #7: cost 0 inf + 75164 173.787 * * [simplify]: Extracting #8: cost 0 inf + 75042 173.808 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 173.808 * [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)))))) 173.808 * * * * [progress]: [ 269 / 307 ] simplifiying candidate # 173.808 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 173.809 * * [simplify]: iters left: 6 (14 enodes) 173.817 * * [simplify]: iters left: 5 (57 enodes) 173.836 * * [simplify]: iters left: 4 (90 enodes) 173.856 * * [simplify]: iters left: 3 (128 enodes) 173.882 * * [simplify]: iters left: 2 (208 enodes) 173.954 * * [simplify]: iters left: 1 (391 enodes) 174.086 * * [simplify]: Extracting #0: cost 1 inf + 0 174.086 * * [simplify]: Extracting #1: cost 4 inf + 0 174.086 * * [simplify]: Extracting #2: cost 8 inf + 0 174.086 * * [simplify]: Extracting #3: cost 39 inf + 0 174.087 * * [simplify]: Extracting #4: cost 119 inf + 43 174.087 * * [simplify]: Extracting #5: cost 174 inf + 340 174.089 * * [simplify]: Extracting #6: cost 122 inf + 9169 174.093 * * [simplify]: Extracting #7: cost 62 inf + 21307 174.101 * * [simplify]: Extracting #8: cost 14 inf + 55874 174.118 * * [simplify]: Extracting #9: cost 0 inf + 69901 174.138 * * [simplify]: Extracting #10: cost 0 inf + 69057 174.161 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 174.161 * [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)))))) 174.161 * * * * [progress]: [ 270 / 307 ] simplifiying candidate # 174.161 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 174.162 * * [simplify]: iters left: 6 (14 enodes) 174.169 * * [simplify]: iters left: 5 (57 enodes) 174.188 * * [simplify]: iters left: 4 (91 enodes) 174.204 * * [simplify]: iters left: 3 (129 enodes) 174.232 * * [simplify]: iters left: 2 (209 enodes) 174.315 * * [simplify]: iters left: 1 (390 enodes) 174.467 * * [simplify]: Extracting #0: cost 1 inf + 0 174.467 * * [simplify]: Extracting #1: cost 4 inf + 0 174.467 * * [simplify]: Extracting #2: cost 9 inf + 0 174.467 * * [simplify]: Extracting #3: cost 43 inf + 0 174.468 * * [simplify]: Extracting #4: cost 133 inf + 43 174.468 * * [simplify]: Extracting #5: cost 163 inf + 425 174.470 * * [simplify]: Extracting #6: cost 112 inf + 6631 174.473 * * [simplify]: Extracting #7: cost 64 inf + 15667 174.480 * * [simplify]: Extracting #8: cost 27 inf + 43813 174.489 * * [simplify]: Extracting #9: cost 0 inf + 66144 174.501 * * [simplify]: Extracting #10: cost 0 inf + 65050 174.511 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 174.511 * [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)))))) 174.511 * * * * [progress]: [ 271 / 307 ] simplifiying candidate # 174.512 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 174.512 * * [simplify]: iters left: 6 (13 enodes) 174.516 * * [simplify]: iters left: 5 (54 enodes) 174.527 * * [simplify]: iters left: 4 (85 enodes) 174.554 * * [simplify]: iters left: 3 (129 enodes) 174.580 * * [simplify]: iters left: 2 (231 enodes) 174.638 * * [simplify]: iters left: 1 (414 enodes) 174.812 * * [simplify]: Extracting #0: cost 1 inf + 0 174.812 * * [simplify]: Extracting #1: cost 6 inf + 0 174.812 * * [simplify]: Extracting #2: cost 41 inf + 0 174.813 * * [simplify]: Extracting #3: cost 135 inf + 1 174.814 * * [simplify]: Extracting #4: cost 175 inf + 588 174.817 * * [simplify]: Extracting #5: cost 140 inf + 4184 174.823 * * [simplify]: Extracting #6: cost 75 inf + 18889 174.842 * * [simplify]: Extracting #7: cost 8 inf + 68398 174.871 * * [simplify]: Extracting #8: cost 0 inf + 73201 174.883 * * [simplify]: Extracting #9: cost 0 inf + 72608 174.896 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 174.896 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 174.896 * * * * [progress]: [ 272 / 307 ] simplifiying candidate # 174.896 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 174.896 * * [simplify]: iters left: 6 (14 enodes) 174.905 * * [simplify]: iters left: 5 (60 enodes) 174.923 * * [simplify]: iters left: 4 (98 enodes) 174.941 * * [simplify]: iters left: 3 (157 enodes) 174.975 * * [simplify]: iters left: 2 (285 enodes) 175.064 * * [simplify]: Extracting #0: cost 1 inf + 0 175.064 * * [simplify]: Extracting #1: cost 6 inf + 0 175.064 * * [simplify]: Extracting #2: cost 26 inf + 0 175.065 * * [simplify]: Extracting #3: cost 95 inf + 1 175.065 * * [simplify]: Extracting #4: cost 120 inf + 343 175.068 * * [simplify]: Extracting #5: cost 77 inf + 6024 175.078 * * [simplify]: Extracting #6: cost 13 inf + 27206 175.088 * * [simplify]: Extracting #7: cost 0 inf + 36170 175.099 * * [simplify]: Extracting #8: cost 0 inf + 35675 175.109 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 175.109 * [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 (- 1 k)))))) 175.109 * * * * [progress]: [ 273 / 307 ] simplifiying candidate # 175.110 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 175.110 * * [simplify]: iters left: 6 (10 enodes) 175.116 * * [simplify]: iters left: 5 (42 enodes) 175.130 * * [simplify]: iters left: 4 (65 enodes) 175.152 * * [simplify]: iters left: 3 (104 enodes) 175.193 * * [simplify]: iters left: 2 (206 enodes) 175.245 * * [simplify]: iters left: 1 (397 enodes) 175.435 * * [simplify]: Extracting #0: cost 1 inf + 0 175.435 * * [simplify]: Extracting #1: cost 6 inf + 0 175.435 * * [simplify]: Extracting #2: cost 45 inf + 0 175.436 * * [simplify]: Extracting #3: cost 140 inf + 43 175.437 * * [simplify]: Extracting #4: cost 189 inf + 1383 175.442 * * [simplify]: Extracting #5: cost 133 inf + 9970 175.449 * * [simplify]: Extracting #6: cost 50 inf + 44951 175.460 * * [simplify]: Extracting #7: cost 0 inf + 80043 175.473 * * [simplify]: Extracting #8: cost 0 inf + 78450 175.496 * * [simplify]: Extracting #9: cost 0 inf + 77648 175.511 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 175.511 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 175.511 * * * * [progress]: [ 274 / 307 ] simplifiying candidate # 175.511 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.511 * * [simplify]: iters left: 6 (13 enodes) 175.515 * * [simplify]: iters left: 5 (54 enodes) 175.528 * * [simplify]: iters left: 4 (87 enodes) 175.553 * * [simplify]: iters left: 3 (129 enodes) 175.597 * * [simplify]: iters left: 2 (210 enodes) 175.664 * * [simplify]: iters left: 1 (393 enodes) 175.832 * * [simplify]: Extracting #0: cost 1 inf + 0 175.832 * * [simplify]: Extracting #1: cost 4 inf + 0 175.832 * * [simplify]: Extracting #2: cost 8 inf + 0 175.832 * * [simplify]: Extracting #3: cost 33 inf + 1 175.833 * * [simplify]: Extracting #4: cost 113 inf + 43 175.833 * * [simplify]: Extracting #5: cost 161 inf + 301 175.835 * * [simplify]: Extracting #6: cost 117 inf + 6133 175.838 * * [simplify]: Extracting #7: cost 63 inf + 19273 175.849 * * [simplify]: Extracting #8: cost 10 inf + 55308 175.859 * * [simplify]: Extracting #9: cost 0 inf + 63720 175.869 * * [simplify]: Extracting #10: cost 0 inf + 63296 175.879 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.879 * [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)))))) 175.879 * * * * [progress]: [ 275 / 307 ] simplifiying candidate # 175.879 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.879 * * [simplify]: iters left: 6 (13 enodes) 175.884 * * [simplify]: iters left: 5 (54 enodes) 175.894 * * [simplify]: iters left: 4 (88 enodes) 175.910 * * [simplify]: iters left: 3 (126 enodes) 175.935 * * [simplify]: iters left: 2 (206 enodes) 175.989 * * [simplify]: iters left: 1 (396 enodes) 176.174 * * [simplify]: Extracting #0: cost 1 inf + 0 176.174 * * [simplify]: Extracting #1: cost 4 inf + 0 176.174 * * [simplify]: Extracting #2: cost 9 inf + 0 176.174 * * [simplify]: Extracting #3: cost 39 inf + 1 176.174 * * [simplify]: Extracting #4: cost 129 inf + 43 176.175 * * [simplify]: Extracting #5: cost 157 inf + 592 176.177 * * [simplify]: Extracting #6: cost 102 inf + 8543 176.183 * * [simplify]: Extracting #7: cost 26 inf + 45328 176.197 * * [simplify]: Extracting #8: cost 0 inf + 67027 176.217 * * [simplify]: Extracting #9: cost 0 inf + 65553 176.231 * * [simplify]: Extracting #10: cost 0 inf + 65343 176.242 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 176.242 * [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)))))) 176.242 * * * * [progress]: [ 276 / 307 ] simplifiying candidate # 176.242 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 176.242 * * [simplify]: iters left: 6 (12 enodes) 176.246 * * [simplify]: iters left: 5 (51 enodes) 176.257 * * [simplify]: iters left: 4 (86 enodes) 176.284 * * [simplify]: iters left: 3 (133 enodes) 176.309 * * [simplify]: iters left: 2 (224 enodes) 176.391 * * [simplify]: iters left: 1 (420 enodes) 176.583 * * [simplify]: Extracting #0: cost 1 inf + 0 176.583 * * [simplify]: Extracting #1: cost 6 inf + 0 176.583 * * [simplify]: Extracting #2: cost 43 inf + 0 176.584 * * [simplify]: Extracting #3: cost 141 inf + 84 176.585 * * [simplify]: Extracting #4: cost 184 inf + 426 176.586 * * [simplify]: Extracting #5: cost 133 inf + 6364 176.591 * * [simplify]: Extracting #6: cost 64 inf + 29813 176.608 * * [simplify]: Extracting #7: cost 12 inf + 68347 176.634 * * [simplify]: Extracting #8: cost 0 inf + 77856 176.667 * * [simplify]: Extracting #9: cost 0 inf + 77383 176.694 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 176.694 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 176.694 * * * * [progress]: [ 277 / 307 ] simplifiying candidate # 176.695 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 176.695 * * [simplify]: iters left: 6 (13 enodes) 176.701 * * [simplify]: iters left: 5 (57 enodes) 176.713 * * [simplify]: iters left: 4 (95 enodes) 176.732 * * [simplify]: iters left: 3 (150 enodes) 176.765 * * [simplify]: iters left: 2 (262 enodes) 176.851 * * [simplify]: iters left: 1 (476 enodes) 177.077 * * [simplify]: Extracting #0: cost 1 inf + 0 177.077 * * [simplify]: Extracting #1: cost 6 inf + 0 177.077 * * [simplify]: Extracting #2: cost 41 inf + 0 177.078 * * [simplify]: Extracting #3: cost 143 inf + 84 177.080 * * [simplify]: Extracting #4: cost 204 inf + 429 177.085 * * [simplify]: Extracting #5: cost 133 inf + 12366 177.107 * * [simplify]: Extracting #6: cost 21 inf + 62820 177.126 * * [simplify]: Extracting #7: cost 0 inf + 72656 177.148 * * [simplify]: Extracting #8: cost 0 inf + 72242 177.180 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 177.180 * [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 k) 4))))) 177.180 * * * * [progress]: [ 278 / 307 ] simplifiying candidate # 177.180 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 177.181 * * [simplify]: iters left: 6 (11 enodes) 177.187 * * [simplify]: iters left: 5 (45 enodes) 177.203 * * [simplify]: iters left: 4 (68 enodes) 177.226 * * [simplify]: iters left: 3 (110 enodes) 177.271 * * [simplify]: iters left: 2 (217 enodes) 177.327 * * [simplify]: iters left: 1 (409 enodes) 177.502 * * [simplify]: Extracting #0: cost 1 inf + 0 177.502 * * [simplify]: Extracting #1: cost 6 inf + 0 177.502 * * [simplify]: Extracting #2: cost 42 inf + 0 177.503 * * [simplify]: Extracting #3: cost 137 inf + 1 177.504 * * [simplify]: Extracting #4: cost 192 inf + 1045 177.506 * * [simplify]: Extracting #5: cost 129 inf + 15057 177.515 * * [simplify]: Extracting #6: cost 17 inf + 65999 177.529 * * [simplify]: Extracting #7: cost 0 inf + 75164 177.551 * * [simplify]: Extracting #8: cost 0 inf + 75042 177.564 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 177.564 * [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)))))) 177.564 * * * * [progress]: [ 279 / 307 ] simplifiying candidate # 177.565 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.565 * * [simplify]: iters left: 6 (14 enodes) 177.569 * * [simplify]: iters left: 5 (57 enodes) 177.580 * * [simplify]: iters left: 4 (90 enodes) 177.602 * * [simplify]: iters left: 3 (128 enodes) 177.625 * * [simplify]: iters left: 2 (208 enodes) 177.704 * * [simplify]: iters left: 1 (391 enodes) 177.858 * * [simplify]: Extracting #0: cost 1 inf + 0 177.858 * * [simplify]: Extracting #1: cost 4 inf + 0 177.858 * * [simplify]: Extracting #2: cost 8 inf + 0 177.858 * * [simplify]: Extracting #3: cost 39 inf + 0 177.863 * * [simplify]: Extracting #4: cost 119 inf + 43 177.865 * * [simplify]: Extracting #5: cost 174 inf + 340 177.867 * * [simplify]: Extracting #6: cost 122 inf + 9169 177.871 * * [simplify]: Extracting #7: cost 62 inf + 21307 177.879 * * [simplify]: Extracting #8: cost 14 inf + 55874 177.889 * * [simplify]: Extracting #9: cost 0 inf + 69901 177.898 * * [simplify]: Extracting #10: cost 0 inf + 69057 177.908 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 177.908 * [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)))))) 177.908 * * * * [progress]: [ 280 / 307 ] simplifiying candidate # 177.909 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 177.909 * * [simplify]: iters left: 6 (14 enodes) 177.913 * * [simplify]: iters left: 5 (57 enodes) 177.923 * * [simplify]: iters left: 4 (91 enodes) 177.938 * * [simplify]: iters left: 3 (129 enodes) 177.962 * * [simplify]: iters left: 2 (209 enodes) 178.005 * * [simplify]: iters left: 1 (390 enodes) 178.137 * * [simplify]: Extracting #0: cost 1 inf + 0 178.137 * * [simplify]: Extracting #1: cost 4 inf + 0 178.137 * * [simplify]: Extracting #2: cost 9 inf + 0 178.137 * * [simplify]: Extracting #3: cost 43 inf + 0 178.138 * * [simplify]: Extracting #4: cost 133 inf + 43 178.139 * * [simplify]: Extracting #5: cost 163 inf + 425 178.143 * * [simplify]: Extracting #6: cost 112 inf + 6631 178.150 * * [simplify]: Extracting #7: cost 64 inf + 15667 178.162 * * [simplify]: Extracting #8: cost 27 inf + 43813 178.182 * * [simplify]: Extracting #9: cost 0 inf + 66144 178.206 * * [simplify]: Extracting #10: cost 0 inf + 65050 178.226 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 178.226 * [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)))))) 178.226 * * * * [progress]: [ 281 / 307 ] simplifiying candidate # 178.227 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 178.227 * * [simplify]: iters left: 6 (13 enodes) 178.235 * * [simplify]: iters left: 5 (54 enodes) 178.253 * * [simplify]: iters left: 4 (85 enodes) 178.270 * * [simplify]: iters left: 3 (129 enodes) 178.302 * * [simplify]: iters left: 2 (231 enodes) 178.364 * * [simplify]: iters left: 1 (414 enodes) 178.523 * * [simplify]: Extracting #0: cost 1 inf + 0 178.523 * * [simplify]: Extracting #1: cost 6 inf + 0 178.523 * * [simplify]: Extracting #2: cost 41 inf + 0 178.524 * * [simplify]: Extracting #3: cost 135 inf + 1 178.525 * * [simplify]: Extracting #4: cost 175 inf + 588 178.528 * * [simplify]: Extracting #5: cost 140 inf + 4184 178.534 * * [simplify]: Extracting #6: cost 75 inf + 18889 178.553 * * [simplify]: Extracting #7: cost 8 inf + 68398 178.566 * * [simplify]: Extracting #8: cost 0 inf + 73201 178.579 * * [simplify]: Extracting #9: cost 0 inf + 72608 178.596 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 178.596 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 178.596 * * * * [progress]: [ 282 / 307 ] simplifiying candidate # 178.596 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 178.597 * * [simplify]: iters left: 6 (14 enodes) 178.601 * * [simplify]: iters left: 5 (60 enodes) 178.616 * * [simplify]: iters left: 4 (98 enodes) 178.641 * * [simplify]: iters left: 3 (157 enodes) 178.689 * * [simplify]: iters left: 2 (285 enodes) 178.765 * * [simplify]: Extracting #0: cost 1 inf + 0 178.766 * * [simplify]: Extracting #1: cost 6 inf + 0 178.766 * * [simplify]: Extracting #2: cost 26 inf + 0 178.766 * * [simplify]: Extracting #3: cost 95 inf + 1 178.766 * * [simplify]: Extracting #4: cost 120 inf + 343 178.768 * * [simplify]: Extracting #5: cost 77 inf + 6024 178.776 * * [simplify]: Extracting #6: cost 13 inf + 27206 178.787 * * [simplify]: Extracting #7: cost 0 inf + 36170 178.797 * * [simplify]: Extracting #8: cost 0 inf + 35675 178.808 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (* 1/4 (- 1 k)))) 178.808 * [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 (- 1 k)))))) 178.809 * * * * [progress]: [ 283 / 307 ] simplifiying candidate # 178.809 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 178.809 * * [simplify]: iters left: 6 (10 enodes) 178.815 * * [simplify]: iters left: 5 (42 enodes) 178.830 * * [simplify]: iters left: 4 (65 enodes) 178.857 * * [simplify]: iters left: 3 (104 enodes) 178.897 * * [simplify]: iters left: 2 (206 enodes) 178.941 * * [simplify]: iters left: 1 (397 enodes) 179.093 * * [simplify]: Extracting #0: cost 1 inf + 0 179.093 * * [simplify]: Extracting #1: cost 6 inf + 0 179.093 * * [simplify]: Extracting #2: cost 45 inf + 0 179.093 * * [simplify]: Extracting #3: cost 140 inf + 43 179.094 * * [simplify]: Extracting #4: cost 189 inf + 1383 179.096 * * [simplify]: Extracting #5: cost 133 inf + 9970 179.103 * * [simplify]: Extracting #6: cost 50 inf + 44951 179.114 * * [simplify]: Extracting #7: cost 0 inf + 80043 179.139 * * [simplify]: Extracting #8: cost 0 inf + 78450 179.161 * * [simplify]: Extracting #9: cost 0 inf + 77648 179.185 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 179.185 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 179.185 * * * * [progress]: [ 284 / 307 ] simplifiying candidate # 179.186 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.186 * * [simplify]: iters left: 6 (13 enodes) 179.193 * * [simplify]: iters left: 5 (54 enodes) 179.211 * * [simplify]: iters left: 4 (87 enodes) 179.239 * * [simplify]: iters left: 3 (129 enodes) 179.284 * * [simplify]: iters left: 2 (210 enodes) 179.364 * * [simplify]: iters left: 1 (393 enodes) 179.502 * * [simplify]: Extracting #0: cost 1 inf + 0 179.502 * * [simplify]: Extracting #1: cost 4 inf + 0 179.502 * * [simplify]: Extracting #2: cost 8 inf + 0 179.502 * * [simplify]: Extracting #3: cost 33 inf + 1 179.502 * * [simplify]: Extracting #4: cost 113 inf + 43 179.503 * * [simplify]: Extracting #5: cost 161 inf + 301 179.505 * * [simplify]: Extracting #6: cost 117 inf + 6133 179.508 * * [simplify]: Extracting #7: cost 63 inf + 19273 179.516 * * [simplify]: Extracting #8: cost 10 inf + 55308 179.526 * * [simplify]: Extracting #9: cost 0 inf + 63720 179.543 * * [simplify]: Extracting #10: cost 0 inf + 63296 179.555 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.555 * [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)))))) 179.555 * * * * [progress]: [ 285 / 307 ] simplifiying candidate # 179.555 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.555 * * [simplify]: iters left: 6 (13 enodes) 179.562 * * [simplify]: iters left: 5 (54 enodes) 179.572 * * [simplify]: iters left: 4 (88 enodes) 179.595 * * [simplify]: iters left: 3 (126 enodes) 179.618 * * [simplify]: iters left: 2 (206 enodes) 179.689 * * [simplify]: iters left: 1 (396 enodes) 179.886 * * [simplify]: Extracting #0: cost 1 inf + 0 179.886 * * [simplify]: Extracting #1: cost 4 inf + 0 179.886 * * [simplify]: Extracting #2: cost 9 inf + 0 179.886 * * [simplify]: Extracting #3: cost 39 inf + 1 179.887 * * [simplify]: Extracting #4: cost 129 inf + 43 179.887 * * [simplify]: Extracting #5: cost 157 inf + 592 179.892 * * [simplify]: Extracting #6: cost 102 inf + 8543 179.903 * * [simplify]: Extracting #7: cost 26 inf + 45328 179.917 * * [simplify]: Extracting #8: cost 0 inf + 67027 179.927 * * [simplify]: Extracting #9: cost 0 inf + 65553 179.938 * * [simplify]: Extracting #10: cost 0 inf + 65343 179.953 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.953 * [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)))))) 179.953 * * * * [progress]: [ 286 / 307 ] simplifiying candidate # 179.954 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 179.954 * * [simplify]: iters left: 6 (12 enodes) 179.961 * * [simplify]: iters left: 5 (51 enodes) 179.972 * * [simplify]: iters left: 4 (86 enodes) 179.989 * * [simplify]: iters left: 3 (133 enodes) 180.017 * * [simplify]: iters left: 2 (224 enodes) 180.093 * * [simplify]: iters left: 1 (420 enodes) 180.288 * * [simplify]: Extracting #0: cost 1 inf + 0 180.289 * * [simplify]: Extracting #1: cost 6 inf + 0 180.289 * * [simplify]: Extracting #2: cost 43 inf + 0 180.290 * * [simplify]: Extracting #3: cost 141 inf + 84 180.291 * * [simplify]: Extracting #4: cost 184 inf + 426 180.299 * * [simplify]: Extracting #5: cost 133 inf + 6364 180.308 * * [simplify]: Extracting #6: cost 64 inf + 29813 180.329 * * [simplify]: Extracting #7: cost 12 inf + 68347 180.356 * * [simplify]: Extracting #8: cost 0 inf + 77856 180.381 * * [simplify]: Extracting #9: cost 0 inf + 77383 180.394 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 180.394 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.394 * * * * [progress]: [ 287 / 307 ] simplifiying candidate # 180.394 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 180.395 * * [simplify]: iters left: 6 (13 enodes) 180.399 * * [simplify]: iters left: 5 (57 enodes) 180.410 * * [simplify]: iters left: 4 (95 enodes) 180.429 * * [simplify]: iters left: 3 (150 enodes) 180.457 * * [simplify]: iters left: 2 (262 enodes) 180.540 * * [simplify]: iters left: 1 (476 enodes) 180.781 * * [simplify]: Extracting #0: cost 1 inf + 0 180.781 * * [simplify]: Extracting #1: cost 6 inf + 0 180.782 * * [simplify]: Extracting #2: cost 41 inf + 0 180.782 * * [simplify]: Extracting #3: cost 143 inf + 84 180.784 * * [simplify]: Extracting #4: cost 204 inf + 429 180.789 * * [simplify]: Extracting #5: cost 133 inf + 12366 180.802 * * [simplify]: Extracting #6: cost 21 inf + 62820 180.817 * * [simplify]: Extracting #7: cost 0 inf + 72656 180.833 * * [simplify]: Extracting #8: cost 0 inf + 72242 180.849 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 180.849 * [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 k) 4))))) 180.849 * * * * [progress]: [ 288 / 307 ] simplifiying candidate # 180.849 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 180.849 * * [simplify]: iters left: 6 (12 enodes) 180.855 * * [simplify]: iters left: 5 (51 enodes) 180.877 * * [simplify]: iters left: 4 (86 enodes) 180.893 * * [simplify]: iters left: 3 (133 enodes) 180.925 * * [simplify]: iters left: 2 (224 enodes) 180.985 * * [simplify]: iters left: 1 (420 enodes) 181.181 * * [simplify]: Extracting #0: cost 1 inf + 0 181.181 * * [simplify]: Extracting #1: cost 6 inf + 0 181.181 * * [simplify]: Extracting #2: cost 43 inf + 0 181.181 * * [simplify]: Extracting #3: cost 141 inf + 84 181.182 * * [simplify]: Extracting #4: cost 184 inf + 426 181.184 * * [simplify]: Extracting #5: cost 133 inf + 6364 181.188 * * [simplify]: Extracting #6: cost 64 inf + 29813 181.205 * * [simplify]: Extracting #7: cost 12 inf + 68347 181.219 * * [simplify]: Extracting #8: cost 0 inf + 77856 181.232 * * [simplify]: Extracting #9: cost 0 inf + 77383 181.257 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 181.257 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 181.257 * * * * [progress]: [ 289 / 307 ] simplifiying candidate # 181.258 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 181.258 * * [simplify]: iters left: 6 (11 enodes) 181.268 * * [simplify]: iters left: 5 (48 enodes) 181.280 * * [simplify]: iters left: 4 (79 enodes) 181.293 * * [simplify]: iters left: 3 (126 enodes) 181.318 * * [simplify]: iters left: 2 (233 enodes) 181.373 * * [simplify]: iters left: 1 (426 enodes) 181.562 * * [simplify]: Extracting #0: cost 1 inf + 0 181.562 * * [simplify]: Extracting #1: cost 6 inf + 0 181.562 * * [simplify]: Extracting #2: cost 42 inf + 1 181.563 * * [simplify]: Extracting #3: cost 139 inf + 2 181.563 * * [simplify]: Extracting #4: cost 206 inf + 178 181.565 * * [simplify]: Extracting #5: cost 184 inf + 2554 181.568 * * [simplify]: Extracting #6: cost 98 inf + 17091 181.577 * * [simplify]: Extracting #7: cost 30 inf + 56711 181.590 * * [simplify]: Extracting #8: cost 0 inf + 83416 181.603 * * [simplify]: Extracting #9: cost 0 inf + 81332 181.628 * * [simplify]: Extracting #10: cost 0 inf + 79880 181.655 * [simplify]: Simplified to (/ 1 (pow (* 2 (* PI n)) (* 1/2 (- 1 k)))) 181.655 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* PI n)) (* 1/2 (- 1 k)))))) 181.655 * * * * [progress]: [ 290 / 307 ] simplifiying candidate # 181.655 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 181.655 * * [simplify]: iters left: 5 (8 enodes) 181.659 * * [simplify]: iters left: 4 (31 enodes) 181.673 * * [simplify]: iters left: 3 (51 enodes) 181.687 * * [simplify]: iters left: 2 (85 enodes) 181.703 * * [simplify]: iters left: 1 (152 enodes) 181.753 * * [simplify]: Extracting #0: cost 1 inf + 0 181.753 * * [simplify]: Extracting #1: cost 13 inf + 0 181.753 * * [simplify]: Extracting #2: cost 59 inf + 1 181.754 * * [simplify]: Extracting #3: cost 76 inf + 9 181.755 * * [simplify]: Extracting #4: cost 41 inf + 3303 181.758 * * [simplify]: Extracting #5: cost 16 inf + 10676 181.763 * * [simplify]: Extracting #6: cost 0 inf + 21028 181.769 * * [simplify]: Extracting #7: cost 0 inf + 20456 181.775 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 181.775 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2)))) 181.775 * * * * [progress]: [ 291 / 307 ] simplifiying candidate # 181.775 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 181.776 * * [simplify]: iters left: 3 (3 enodes) 181.782 * * [simplify]: iters left: 2 (11 enodes) 181.785 * * [simplify]: iters left: 1 (13 enodes) 181.788 * * [simplify]: Extracting #0: cost 1 inf + 0 181.788 * * [simplify]: Extracting #1: cost 0 inf + 1 181.788 * [simplify]: Simplified to 1 181.788 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)))) 181.788 * * * * [progress]: [ 292 / 307 ] simplifiying candidate # 181.789 * [simplify]: Simplifying (sqrt 1) 181.789 * * [simplify]: iters left: 1 (2 enodes) 181.792 * * [simplify]: Extracting #0: cost 1 inf + 0 181.792 * * [simplify]: Extracting #1: cost 0 inf + 1 181.792 * [simplify]: Simplified to 1 181.792 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)))) 181.792 * * * * [progress]: [ 293 / 307 ] simplifiying candidate # 181.792 * * * * [progress]: [ 294 / 307 ] simplifiying candidate # 181.792 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 181.792 * * [simplify]: iters left: 5 (10 enodes) 181.802 * * [simplify]: iters left: 4 (45 enodes) 181.818 * * [simplify]: iters left: 3 (78 enodes) 181.843 * * [simplify]: iters left: 2 (120 enodes) 181.883 * * [simplify]: iters left: 1 (205 enodes) 181.961 * * [simplify]: Extracting #0: cost 1 inf + 0 181.961 * * [simplify]: Extracting #1: cost 13 inf + 0 181.961 * * [simplify]: Extracting #2: cost 64 inf + 1 181.962 * * [simplify]: Extracting #3: cost 99 inf + 49 181.963 * * [simplify]: Extracting #4: cost 97 inf + 806 181.965 * * [simplify]: Extracting #5: cost 58 inf + 4778 181.970 * * [simplify]: Extracting #6: cost 15 inf + 17624 181.977 * * [simplify]: Extracting #7: cost 1 inf + 26643 181.982 * * [simplify]: Extracting #8: cost 0 inf + 26968 181.986 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 181.986 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 181.986 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 181.986 * * * * [progress]: [ 296 / 307 ] simplifiying candidate # 181.987 * [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))))) 181.987 * * [simplify]: iters left: 6 (37 enodes) 181.999 * * [simplify]: iters left: 5 (187 enodes) 182.067 * * [simplify]: iters left: 4 (488 enodes) 182.328 * * [simplify]: Extracting #0: cost 1 inf + 0 182.328 * * [simplify]: Extracting #1: cost 57 inf + 0 182.330 * * [simplify]: Extracting #2: cost 294 inf + 0 182.333 * * [simplify]: Extracting #3: cost 529 inf + 199 182.339 * * [simplify]: Extracting #4: cost 521 inf + 5092 182.363 * * [simplify]: Extracting #5: cost 310 inf + 81150 182.429 * * [simplify]: Extracting #6: cost 37 inf + 225232 182.496 * * [simplify]: Extracting #7: cost 0 inf + 247600 182.603 * * [simplify]: Extracting #8: cost 0 inf + 245527 182.691 * * [simplify]: Extracting #9: cost 0 inf + 245486 182.759 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 182.759 * [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 (log n)) (* k 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2))))))))))) 182.759 * * * * [progress]: [ 297 / 307 ] simplifiying candidate # 182.759 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 182.759 * * [simplify]: iters left: 6 (15 enodes) 182.765 * * [simplify]: iters left: 5 (65 enodes) 182.786 * * [simplify]: iters left: 4 (123 enodes) 182.821 * * [simplify]: iters left: 3 (362 enodes) 182.988 * * [simplify]: Extracting #0: cost 1 inf + 0 182.988 * * [simplify]: Extracting #1: cost 37 inf + 0 182.989 * * [simplify]: Extracting #2: cost 214 inf + 1 182.992 * * [simplify]: Extracting #3: cost 359 inf + 976 182.998 * * [simplify]: Extracting #4: cost 248 inf + 22396 183.027 * * [simplify]: Extracting #5: cost 36 inf + 77801 183.057 * * [simplify]: Extracting #6: cost 1 inf + 88796 183.073 * * [simplify]: Extracting #7: cost 0 inf + 89336 183.089 * * [simplify]: Extracting #8: cost 0 inf + 89253 183.120 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 183.120 * [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))))))) 183.120 * * * * [progress]: [ 298 / 307 ] simplifiying candidate # 183.120 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 183.121 * * [simplify]: iters left: 6 (16 enodes) 183.131 * * [simplify]: iters left: 5 (67 enodes) 183.158 * * [simplify]: iters left: 4 (134 enodes) 183.219 * * [simplify]: iters left: 3 (407 enodes) 183.436 * * [simplify]: Extracting #0: cost 1 inf + 0 183.436 * * [simplify]: Extracting #1: cost 39 inf + 0 183.436 * * [simplify]: Extracting #2: cost 241 inf + 72 183.438 * * [simplify]: Extracting #3: cost 449 inf + 888 183.444 * * [simplify]: Extracting #4: cost 283 inf + 39118 183.487 * * [simplify]: Extracting #5: cost 24 inf + 116222 183.522 * * [simplify]: Extracting #6: cost 0 inf + 121984 183.544 * * [simplify]: Extracting #7: cost 0 inf + 121983 183.566 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 183.566 * [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)))))))))) 183.566 * * * * [progress]: [ 299 / 307 ] simplifiying candidate # 183.566 * [simplify]: Simplifying (* 2 (* n PI)) 183.566 * * [simplify]: iters left: 4 (5 enodes) 183.568 * * [simplify]: iters left: 3 (19 enodes) 183.574 * * [simplify]: iters left: 2 (27 enodes) 183.582 * * [simplify]: iters left: 1 (32 enodes) 183.591 * * [simplify]: Extracting #0: cost 1 inf + 0 183.591 * * [simplify]: Extracting #1: cost 8 inf + 0 183.591 * * [simplify]: Extracting #2: cost 7 inf + 45 183.591 * * [simplify]: Extracting #3: cost 0 inf + 421 183.592 * [simplify]: Simplified to (* (* PI n) 2) 183.592 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.592 * * * * [progress]: [ 300 / 307 ] simplifiying candidate # 183.592 * [simplify]: Simplifying (* 2 (* n PI)) 183.592 * * [simplify]: iters left: 4 (5 enodes) 183.596 * * [simplify]: iters left: 3 (19 enodes) 183.601 * * [simplify]: iters left: 2 (27 enodes) 183.605 * * [simplify]: iters left: 1 (32 enodes) 183.610 * * [simplify]: Extracting #0: cost 1 inf + 0 183.610 * * [simplify]: Extracting #1: cost 8 inf + 0 183.610 * * [simplify]: Extracting #2: cost 7 inf + 45 183.610 * * [simplify]: Extracting #3: cost 0 inf + 421 183.610 * [simplify]: Simplified to (* (* PI n) 2) 183.611 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.611 * * * * [progress]: [ 301 / 307 ] simplifiying candidate # 183.611 * [simplify]: Simplifying (* 2 (* n PI)) 183.611 * * [simplify]: iters left: 4 (5 enodes) 183.612 * * [simplify]: iters left: 3 (19 enodes) 183.616 * * [simplify]: iters left: 2 (27 enodes) 183.620 * * [simplify]: iters left: 1 (32 enodes) 183.624 * * [simplify]: Extracting #0: cost 1 inf + 0 183.624 * * [simplify]: Extracting #1: cost 8 inf + 0 183.625 * * [simplify]: Extracting #2: cost 7 inf + 45 183.625 * * [simplify]: Extracting #3: cost 0 inf + 421 183.625 * [simplify]: Simplified to (* (* PI n) 2) 183.625 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 183.625 * * * * [progress]: [ 302 / 307 ] simplifiying candidate # 183.625 * [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))))))))))) 183.625 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.625 * * * * [progress]: [ 303 / 307 ] simplifiying candidate # 183.626 * [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)))))))) 183.626 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.626 * * * * [progress]: [ 304 / 307 ] simplifiying candidate # 183.626 * [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))))))))))))) 183.626 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 183.626 * * * * [progress]: [ 305 / 307 ] simplifiying candidate # 183.626 * [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))))))))))))) 183.626 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.626 * * * * [progress]: [ 306 / 307 ] simplifiying candidate # 183.627 * [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)))))))) 183.627 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.627 * * * * [progress]: [ 307 / 307 ] simplifiying candidate # 183.627 * [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)))))))))))) 183.627 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 183.627 * * * [progress]: adding candidates to table 187.174 * [progress]: [Phase 3 of 3] Extracting. 187.174 * * [regime]: Finding splitpoints for: (# # # # # # # #) 187.176 * * * [regime-changes]: Trying 2 branch expressions: (n k) 187.176 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 187.247 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 187.301 * * * [regime]: Found split indices: #