0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.205 * * * [progress]: [2/2] Setting up program. 0.209 * [progress]: [Phase 2 of 3] Improving. 0.209 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.209 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.210 * * [simplify]: iters left: 6 (13 enodes) 0.214 * * [simplify]: iters left: 5 (57 enodes) 0.224 * * [simplify]: iters left: 4 (96 enodes) 0.258 * * [simplify]: iters left: 3 (174 enodes) 0.301 * * [simplify]: iters left: 2 (354 enodes) 0.432 * * [simplify]: Extracting #0: cost 1 inf + 0 0.432 * * [simplify]: Extracting #1: cost 40 inf + 0 0.432 * * [simplify]: Extracting #2: cost 129 inf + 1 0.433 * * [simplify]: Extracting #3: cost 169 inf + 127 0.434 * * [simplify]: Extracting #4: cost 159 inf + 1705 0.436 * * [simplify]: Extracting #5: cost 112 inf + 14676 0.448 * * [simplify]: Extracting #6: cost 16 inf + 70698 0.474 * * [simplify]: Extracting #7: cost 0 inf + 82490 0.501 * * [simplify]: Extracting #8: cost 0 inf + 82450 0.528 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.528 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.540 * * [progress]: iteration 1 / 4 0.541 * * * [progress]: picking best candidate 0.555 * * * * [pick]: Picked # 0.555 * * * [progress]: localizing error 0.578 * * * [progress]: generating rewritten candidates 0.578 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.596 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.609 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.629 * * * [progress]: generating series expansions 0.629 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.631 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.631 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.631 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.631 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.631 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.631 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.631 * [taylor]: Taking taylor expansion of 1/2 in k 0.631 * [backup-simplify]: Simplify 1/2 into 1/2 0.631 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.631 * [taylor]: Taking taylor expansion of 1 in k 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of k in k 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.631 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.631 * [taylor]: Taking taylor expansion of 2 in k 0.631 * [backup-simplify]: Simplify 2 into 2 0.631 * [taylor]: Taking taylor expansion of (* n PI) in k 0.631 * [taylor]: Taking taylor expansion of n in k 0.631 * [backup-simplify]: Simplify n into n 0.631 * [taylor]: Taking taylor expansion of PI in k 0.631 * [backup-simplify]: Simplify PI into PI 0.631 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.631 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.632 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [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 0.633 * [taylor]: Taking taylor expansion of 1 in n 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of k in n 0.633 * [backup-simplify]: Simplify k into k 0.633 * [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 0.635 * [backup-simplify]: Simplify (* 2 0) into 0 0.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.638 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.639 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.639 * [backup-simplify]: Simplify (- k) into (- k) 0.639 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.639 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.642 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.643 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.643 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.643 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.643 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.643 * [taylor]: Taking taylor expansion of 1/2 in n 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.643 * [taylor]: Taking taylor expansion of 1 in n 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of k in n 0.643 * [backup-simplify]: Simplify k into k 0.643 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.643 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.643 * [taylor]: Taking taylor expansion of 2 in n 0.643 * [backup-simplify]: Simplify 2 into 2 0.643 * [taylor]: Taking taylor expansion of (* n PI) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [taylor]: Taking taylor expansion of PI in n 0.644 * [backup-simplify]: Simplify PI into PI 0.644 * [backup-simplify]: Simplify (* 0 PI) into 0 0.644 * [backup-simplify]: Simplify (* 2 0) into 0 0.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.647 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.648 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.648 * [backup-simplify]: Simplify (- k) into (- k) 0.648 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.648 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.649 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.650 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.650 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.650 * [taylor]: Taking taylor expansion of 1/2 in k 0.651 * [backup-simplify]: Simplify 1/2 into 1/2 0.651 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.651 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.651 * [taylor]: Taking taylor expansion of 1 in k 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.651 * [taylor]: Taking taylor expansion of (log n) in k 0.651 * [taylor]: Taking taylor expansion of n in k 0.651 * [backup-simplify]: Simplify n into n 0.651 * [backup-simplify]: Simplify (log n) into (log n) 0.651 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.651 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.651 * [taylor]: Taking taylor expansion of 2 in k 0.651 * [backup-simplify]: Simplify 2 into 2 0.651 * [taylor]: Taking taylor expansion of PI in k 0.651 * [backup-simplify]: Simplify PI into PI 0.651 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.652 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.652 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.653 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.654 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.655 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.655 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.660 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.661 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.661 * [taylor]: Taking taylor expansion of 0 in k 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- 1) into -1 0.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.666 * [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))))) 0.668 * [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))))))) 0.669 * [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))))))) 0.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.673 * [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 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.676 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.678 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.678 * [taylor]: Taking taylor expansion of 0 in k 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.685 * [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 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.694 * [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))))) 0.699 * [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))))) 0.710 * [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))))) 0.711 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.711 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.711 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.711 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.711 * [taylor]: Taking taylor expansion of 1/2 in k 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.711 * [taylor]: Taking taylor expansion of 1 in k 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.711 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.711 * [taylor]: Taking taylor expansion of 2 in k 0.711 * [backup-simplify]: Simplify 2 into 2 0.711 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.711 * [taylor]: Taking taylor expansion of PI in k 0.711 * [backup-simplify]: Simplify PI into PI 0.711 * [taylor]: Taking taylor expansion of n in k 0.711 * [backup-simplify]: Simplify n into n 0.711 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.712 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.712 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.712 * [backup-simplify]: Simplify (- 1) into -1 0.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.712 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.712 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.713 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.713 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.713 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.713 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.713 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.713 * [taylor]: Taking taylor expansion of 1/2 in n 0.713 * [backup-simplify]: Simplify 1/2 into 1/2 0.713 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.713 * [taylor]: Taking taylor expansion of 1 in n 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [backup-simplify]: Simplify k into k 0.713 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.713 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of 2 in n 0.713 * [backup-simplify]: Simplify 2 into 2 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [backup-simplify]: Simplify PI into PI 0.713 * [taylor]: Taking taylor expansion of n in n 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ PI 1) into PI 0.714 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.714 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.714 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.714 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.714 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.716 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.717 * [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))))) 0.717 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.717 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.717 * [taylor]: Taking taylor expansion of 1/2 in n 0.717 * [backup-simplify]: Simplify 1/2 into 1/2 0.717 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.717 * [taylor]: Taking taylor expansion of 1 in n 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.717 * [backup-simplify]: Simplify k into k 0.717 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.717 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.717 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.717 * [taylor]: Taking taylor expansion of 2 in n 0.717 * [backup-simplify]: Simplify 2 into 2 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.717 * [taylor]: Taking taylor expansion of PI in n 0.717 * [backup-simplify]: Simplify PI into PI 0.717 * [taylor]: Taking taylor expansion of n in n 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (/ PI 1) into PI 0.718 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.718 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.718 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.719 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.719 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.720 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.721 * [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))))) 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.721 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.721 * [taylor]: Taking taylor expansion of 1/2 in k 0.721 * [backup-simplify]: Simplify 1/2 into 1/2 0.721 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.721 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.721 * [taylor]: Taking taylor expansion of 1 in k 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.721 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.721 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.721 * [taylor]: Taking taylor expansion of 2 in k 0.721 * [backup-simplify]: Simplify 2 into 2 0.721 * [taylor]: Taking taylor expansion of PI in k 0.721 * [backup-simplify]: Simplify PI into PI 0.722 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.722 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.722 * [taylor]: Taking taylor expansion of (log n) in k 0.722 * [taylor]: Taking taylor expansion of n in k 0.722 * [backup-simplify]: Simplify n into n 0.722 * [backup-simplify]: Simplify (log n) into (log n) 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.723 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.724 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.724 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.725 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (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 * [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))))) 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 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))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.732 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in k 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.738 * [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 0.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.742 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.744 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in k 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.752 * [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 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.758 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.761 * [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 0.761 * [taylor]: Taking taylor expansion of 0 in k 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [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)))))) 0.763 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.763 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.763 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.763 * [taylor]: Taking taylor expansion of 1/2 in k 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.763 * [taylor]: Taking taylor expansion of k in k 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [taylor]: Taking taylor expansion of 1 in k 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.763 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.763 * [taylor]: Taking taylor expansion of -2 in k 0.763 * [backup-simplify]: Simplify -2 into -2 0.763 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.763 * [taylor]: Taking taylor expansion of PI in k 0.764 * [backup-simplify]: Simplify PI into PI 0.764 * [taylor]: Taking taylor expansion of n in k 0.764 * [backup-simplify]: Simplify n into n 0.764 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.764 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.764 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.764 * [backup-simplify]: Simplify (+ 1 0) into 1 0.765 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.765 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.765 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.765 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.765 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.765 * [taylor]: Taking taylor expansion of 1/2 in n 0.765 * [backup-simplify]: Simplify 1/2 into 1/2 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.765 * [taylor]: Taking taylor expansion of k in n 0.765 * [backup-simplify]: Simplify k into k 0.765 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.765 * [taylor]: Taking taylor expansion of 1 in n 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.765 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of -2 in n 0.765 * [backup-simplify]: Simplify -2 into -2 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.766 * [backup-simplify]: Simplify PI into PI 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ PI 1) into PI 0.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.767 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.768 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.768 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.770 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.771 * [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))))) 0.771 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.772 * [taylor]: Taking taylor expansion of 1/2 in n 0.772 * [backup-simplify]: Simplify 1/2 into 1/2 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.772 * [taylor]: Taking taylor expansion of k in n 0.772 * [backup-simplify]: Simplify k into k 0.772 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.772 * [taylor]: Taking taylor expansion of 1 in n 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.772 * [taylor]: Taking taylor expansion of -2 in n 0.772 * [backup-simplify]: Simplify -2 into -2 0.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.772 * [taylor]: Taking taylor expansion of PI in n 0.772 * [backup-simplify]: Simplify PI into PI 0.772 * [taylor]: Taking taylor expansion of n in n 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ PI 1) into PI 0.773 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.774 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.774 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.774 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.776 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.777 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.778 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.778 * [taylor]: Taking taylor expansion of 1/2 in k 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.778 * [taylor]: Taking taylor expansion of k in k 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of 1 in k 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.778 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.778 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.778 * [taylor]: Taking taylor expansion of -2 in k 0.778 * [backup-simplify]: Simplify -2 into -2 0.778 * [taylor]: Taking taylor expansion of PI in k 0.779 * [backup-simplify]: Simplify PI into PI 0.779 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.780 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.780 * [taylor]: Taking taylor expansion of (log n) in k 0.780 * [taylor]: Taking taylor expansion of n in k 0.780 * [backup-simplify]: Simplify n into n 0.780 * [backup-simplify]: Simplify (log n) into (log n) 0.780 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.781 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.783 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.784 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.785 * [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))))) 0.786 * [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))))) 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 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)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.795 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.795 * [taylor]: Taking taylor expansion of 0 in k 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.800 * [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 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.804 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.807 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in k 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.816 * [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 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.821 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.824 * [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 0.824 * [taylor]: Taking taylor expansion of 0 in k 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [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)))))) 0.825 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.826 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.826 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.826 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.826 * [taylor]: Taking taylor expansion of 2 in n 0.826 * [backup-simplify]: Simplify 2 into 2 0.826 * [taylor]: Taking taylor expansion of (* n PI) in n 0.826 * [taylor]: Taking taylor expansion of n in n 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of PI in n 0.826 * [backup-simplify]: Simplify PI into PI 0.826 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.826 * [taylor]: Taking taylor expansion of 2 in n 0.826 * [backup-simplify]: Simplify 2 into 2 0.826 * [taylor]: Taking taylor expansion of (* n PI) in n 0.826 * [taylor]: Taking taylor expansion of n in n 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of PI in n 0.826 * [backup-simplify]: Simplify PI into PI 0.827 * [backup-simplify]: Simplify (* 0 PI) into 0 0.827 * [backup-simplify]: Simplify (* 2 0) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.830 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.831 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.849 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.849 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.849 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.849 * [taylor]: Taking taylor expansion of 2 in n 0.849 * [backup-simplify]: Simplify 2 into 2 0.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.849 * [taylor]: Taking taylor expansion of PI in n 0.849 * [backup-simplify]: Simplify PI into PI 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ PI 1) into PI 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.850 * [taylor]: Taking taylor expansion of 2 in n 0.850 * [backup-simplify]: Simplify 2 into 2 0.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.850 * [backup-simplify]: Simplify PI into PI 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ PI 1) into PI 0.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.851 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [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 0.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.866 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.866 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.867 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.867 * [taylor]: Taking taylor expansion of -2 in n 0.867 * [backup-simplify]: Simplify -2 into -2 0.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.867 * [taylor]: Taking taylor expansion of PI in n 0.867 * [backup-simplify]: Simplify PI into PI 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ PI 1) into PI 0.867 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.868 * [taylor]: Taking taylor expansion of -2 in n 0.868 * [backup-simplify]: Simplify -2 into -2 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [backup-simplify]: Simplify PI into PI 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ PI 1) into PI 0.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.884 * [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 0.886 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.886 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.887 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.887 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.887 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.887 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.887 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.887 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.887 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.887 * [taylor]: Taking taylor expansion of 1/2 in k 0.887 * [backup-simplify]: Simplify 1/2 into 1/2 0.887 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.887 * [taylor]: Taking taylor expansion of 1 in k 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [taylor]: Taking taylor expansion of k in k 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.888 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.888 * [taylor]: Taking taylor expansion of 2 in k 0.888 * [backup-simplify]: Simplify 2 into 2 0.888 * [taylor]: Taking taylor expansion of (* n PI) in k 0.888 * [taylor]: Taking taylor expansion of n in k 0.888 * [backup-simplify]: Simplify n into n 0.888 * [taylor]: Taking taylor expansion of PI in k 0.888 * [backup-simplify]: Simplify PI into PI 0.888 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.888 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.888 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.889 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.889 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.889 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.890 * [taylor]: Taking taylor expansion of k in k 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (sqrt 0) into 0 0.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.892 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.892 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.892 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.892 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.892 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.892 * [taylor]: Taking taylor expansion of 1/2 in n 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.892 * [taylor]: Taking taylor expansion of 1 in n 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [taylor]: Taking taylor expansion of k in n 0.892 * [backup-simplify]: Simplify k into k 0.892 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.892 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.893 * [taylor]: Taking taylor expansion of 2 in n 0.893 * [backup-simplify]: Simplify 2 into 2 0.893 * [taylor]: Taking taylor expansion of (* n PI) in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of PI in n 0.893 * [backup-simplify]: Simplify PI into PI 0.893 * [backup-simplify]: Simplify (* 0 PI) into 0 0.894 * [backup-simplify]: Simplify (* 2 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.896 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.897 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.898 * [backup-simplify]: Simplify (- k) into (- k) 0.898 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.898 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.900 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.901 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.901 * [taylor]: Taking taylor expansion of k in n 0.901 * [backup-simplify]: Simplify k into k 0.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.901 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.902 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.902 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.902 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.902 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.902 * [taylor]: Taking taylor expansion of 1/2 in n 0.902 * [backup-simplify]: Simplify 1/2 into 1/2 0.902 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.902 * [taylor]: Taking taylor expansion of 1 in n 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of k in n 0.902 * [backup-simplify]: Simplify k into k 0.902 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.902 * [taylor]: Taking taylor expansion of 2 in n 0.902 * [backup-simplify]: Simplify 2 into 2 0.902 * [taylor]: Taking taylor expansion of (* n PI) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of PI in n 0.902 * [backup-simplify]: Simplify PI into PI 0.903 * [backup-simplify]: Simplify (* 0 PI) into 0 0.903 * [backup-simplify]: Simplify (* 2 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.906 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.907 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.907 * [backup-simplify]: Simplify (- k) into (- k) 0.907 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.907 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.908 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.909 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.909 * [taylor]: Taking taylor expansion of k in n 0.909 * [backup-simplify]: Simplify k into k 0.909 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.909 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.910 * [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))) 0.910 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.910 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.910 * [taylor]: Taking taylor expansion of 1/2 in k 0.910 * [backup-simplify]: Simplify 1/2 into 1/2 0.910 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.910 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.910 * [taylor]: Taking taylor expansion of 1 in k 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of k in k 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.910 * [taylor]: Taking taylor expansion of (log n) in k 0.910 * [taylor]: Taking taylor expansion of n in k 0.910 * [backup-simplify]: Simplify n into n 0.911 * [backup-simplify]: Simplify (log n) into (log n) 0.911 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.911 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.911 * [taylor]: Taking taylor expansion of 2 in k 0.911 * [backup-simplify]: Simplify 2 into 2 0.911 * [taylor]: Taking taylor expansion of PI in k 0.911 * [backup-simplify]: Simplify PI into PI 0.911 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.912 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify (+ 1 0) into 1 0.913 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.913 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.914 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.915 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.915 * [taylor]: Taking taylor expansion of k in k 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (sqrt 0) into 0 0.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.917 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.921 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in k 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (- 1) into -1 0.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.928 * [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))))) 0.930 * [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))))))) 0.932 * [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))))))) 0.933 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.940 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.942 * [taylor]: Taking taylor expansion of 0 in k 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.948 * [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 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.956 * [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))))) 0.965 * [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)))))))) 0.969 * [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)))))))) 0.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.979 * [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 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.982 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.985 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in k 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.001 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.008 * [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 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (- 0) into 0 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.017 * [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))))))) 1.026 * [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)))))))))))))) 1.033 * [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)))))))))))))) 1.045 * [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)))))))))))))))))))))) 1.046 * [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)) 1.046 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.046 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.046 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.046 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.046 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.046 * [taylor]: Taking taylor expansion of 1/2 in k 1.046 * [backup-simplify]: Simplify 1/2 into 1/2 1.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.046 * [taylor]: Taking taylor expansion of 1 in k 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.046 * [taylor]: Taking taylor expansion of k in k 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.047 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.047 * [taylor]: Taking taylor expansion of 2 in k 1.047 * [backup-simplify]: Simplify 2 into 2 1.047 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.047 * [taylor]: Taking taylor expansion of PI in k 1.047 * [backup-simplify]: Simplify PI into PI 1.047 * [taylor]: Taking taylor expansion of n in k 1.047 * [backup-simplify]: Simplify n into n 1.047 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.047 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.047 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.048 * [backup-simplify]: Simplify (- 1) into -1 1.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.048 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.049 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.049 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.049 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.049 * [taylor]: Taking taylor expansion of k in k 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (sqrt 0) into 0 1.051 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.051 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.051 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.051 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.051 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.051 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.051 * [taylor]: Taking taylor expansion of 1/2 in n 1.051 * [backup-simplify]: Simplify 1/2 into 1/2 1.051 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.051 * [taylor]: Taking taylor expansion of 1 in n 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.051 * [taylor]: Taking taylor expansion of k in n 1.051 * [backup-simplify]: Simplify k into k 1.051 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.051 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.051 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.051 * [taylor]: Taking taylor expansion of 2 in n 1.051 * [backup-simplify]: Simplify 2 into 2 1.051 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.051 * [taylor]: Taking taylor expansion of PI in n 1.051 * [backup-simplify]: Simplify PI into PI 1.051 * [taylor]: Taking taylor expansion of n in n 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (/ PI 1) into PI 1.052 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.053 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.053 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.053 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.053 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.055 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.056 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.057 * [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))))) 1.057 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.057 * [taylor]: Taking taylor expansion of k in n 1.057 * [backup-simplify]: Simplify k into k 1.057 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.057 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.057 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.057 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.057 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.057 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.057 * [taylor]: Taking taylor expansion of 1/2 in n 1.057 * [backup-simplify]: Simplify 1/2 into 1/2 1.057 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.057 * [taylor]: Taking taylor expansion of 1 in n 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.057 * [taylor]: Taking taylor expansion of k in n 1.057 * [backup-simplify]: Simplify k into k 1.057 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.057 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.057 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.057 * [taylor]: Taking taylor expansion of 2 in n 1.057 * [backup-simplify]: Simplify 2 into 2 1.057 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.057 * [taylor]: Taking taylor expansion of PI in n 1.057 * [backup-simplify]: Simplify PI into PI 1.058 * [taylor]: Taking taylor expansion of n in n 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (/ PI 1) into PI 1.058 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.059 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.059 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.059 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.059 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.061 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.062 * [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))))) 1.062 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.062 * [taylor]: Taking taylor expansion of k in n 1.062 * [backup-simplify]: Simplify k into k 1.062 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.063 * [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)) 1.063 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.063 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.063 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.063 * [taylor]: Taking taylor expansion of 1/2 in k 1.063 * [backup-simplify]: Simplify 1/2 into 1/2 1.063 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.063 * [taylor]: Taking taylor expansion of 1 in k 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [taylor]: Taking taylor expansion of (/ 1 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 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.063 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.063 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.063 * [taylor]: Taking taylor expansion of 2 in k 1.063 * [backup-simplify]: Simplify 2 into 2 1.063 * [taylor]: Taking taylor expansion of PI in k 1.063 * [backup-simplify]: Simplify PI into PI 1.064 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.064 * [taylor]: Taking taylor expansion of (log n) in k 1.064 * [taylor]: Taking taylor expansion of n in k 1.064 * [backup-simplify]: Simplify n into n 1.064 * [backup-simplify]: Simplify (log n) into (log n) 1.065 * [backup-simplify]: Simplify (- 1) into -1 1.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.065 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.065 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.066 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.067 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.067 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1.067 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.067 * [taylor]: Taking taylor expansion of k in k 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (sqrt 0) into 0 1.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.069 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.072 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [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 1.075 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in k 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [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))))))) 1.077 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.081 * [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 1.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.084 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.085 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.086 * [taylor]: Taking taylor expansion of 0 in k 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.089 * [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))))))) 1.090 * [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))))))) 1.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.097 * [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 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.100 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.102 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.105 * [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 1.107 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.107 * [taylor]: Taking taylor expansion of 0 in k 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.111 * [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))))))) 1.118 * [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)))))))) 1.119 * [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))) 1.119 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.119 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.119 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.119 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.119 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.119 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.119 * [taylor]: Taking taylor expansion of 1/2 in k 1.119 * [backup-simplify]: Simplify 1/2 into 1/2 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.119 * [taylor]: Taking taylor expansion of k in k 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [taylor]: Taking taylor expansion of 1 in k 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.120 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.120 * [taylor]: Taking taylor expansion of -2 in k 1.120 * [backup-simplify]: Simplify -2 into -2 1.120 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.120 * [taylor]: Taking taylor expansion of PI in k 1.120 * [backup-simplify]: Simplify PI into PI 1.120 * [taylor]: Taking taylor expansion of n in k 1.120 * [backup-simplify]: Simplify n into n 1.120 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.120 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.120 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.121 * [backup-simplify]: Simplify (+ 1 0) into 1 1.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.121 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.121 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.122 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.122 * [taylor]: Taking taylor expansion of -1 in k 1.122 * [backup-simplify]: Simplify -1 into -1 1.122 * [taylor]: Taking taylor expansion of k in k 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ -1 1) into -1 1.122 * [backup-simplify]: Simplify (sqrt 0) into 0 1.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.124 * [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))))) 1.124 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.124 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.124 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.124 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.124 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.124 * [taylor]: Taking taylor expansion of 1/2 in n 1.124 * [backup-simplify]: Simplify 1/2 into 1/2 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.124 * [taylor]: Taking taylor expansion of k in n 1.124 * [backup-simplify]: Simplify k into k 1.124 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.124 * [taylor]: Taking taylor expansion of 1 in n 1.124 * [backup-simplify]: Simplify 1 into 1 1.125 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.125 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.125 * [taylor]: Taking taylor expansion of -2 in n 1.125 * [backup-simplify]: Simplify -2 into -2 1.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.125 * [taylor]: Taking taylor expansion of PI in n 1.125 * [backup-simplify]: Simplify PI into PI 1.125 * [taylor]: Taking taylor expansion of n in n 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ PI 1) into PI 1.126 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.127 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.127 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.127 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.128 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.129 * [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))))) 1.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.129 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.129 * [taylor]: Taking taylor expansion of -1 in n 1.129 * [backup-simplify]: Simplify -1 into -1 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) 1.129 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.129 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.130 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1.130 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.130 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.130 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.130 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.130 * [taylor]: Taking taylor expansion of 1/2 in n 1.130 * [backup-simplify]: Simplify 1/2 into 1/2 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.130 * [taylor]: Taking taylor expansion of k in n 1.130 * [backup-simplify]: Simplify k into k 1.130 * [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 1.131 * [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)) 1.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.133 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.134 * [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))))) 1.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.134 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.134 * [taylor]: Taking taylor expansion of -1 in n 1.134 * [backup-simplify]: Simplify -1 into -1 1.134 * [taylor]: Taking taylor expansion of k in n 1.134 * [backup-simplify]: Simplify k into k 1.134 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.134 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.134 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.135 * [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))) 1.135 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.135 * [taylor]: Taking taylor expansion of 1/2 in k 1.135 * [backup-simplify]: Simplify 1/2 into 1/2 1.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.136 * [taylor]: Taking taylor expansion of k in k 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of 1 in k 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.136 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.136 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.136 * [taylor]: Taking taylor expansion of -2 in k 1.136 * [backup-simplify]: Simplify -2 into -2 1.136 * [taylor]: Taking taylor expansion of PI in k 1.136 * [backup-simplify]: Simplify PI into PI 1.136 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.137 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.137 * [taylor]: Taking taylor expansion of (log n) in k 1.137 * [taylor]: Taking taylor expansion of n in k 1.137 * [backup-simplify]: Simplify n into n 1.137 * [backup-simplify]: Simplify (log n) into (log n) 1.137 * [backup-simplify]: Simplify (+ 1 0) into 1 1.137 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.138 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.139 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.139 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.140 * [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))))) 1.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.140 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.140 * [taylor]: Taking taylor expansion of -1 in k 1.140 * [backup-simplify]: Simplify -1 into -1 1.140 * [taylor]: Taking taylor expansion of k in k 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ -1 1) into -1 1.140 * [backup-simplify]: Simplify (sqrt 0) into 0 1.141 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.142 * [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)))))) 1.143 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.147 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.148 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.149 * [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 1.149 * [taylor]: Taking taylor expansion of 0 in k 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.153 * [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))))))) 1.153 * [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))))))) 1.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.157 * [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 1.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.159 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.161 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of 0 in k 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.171 * [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))))))) 1.173 * [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))))))) 1.177 * [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)))))))))))) 1.177 * * * [progress]: simplifying candidates 1.177 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.177 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1.177 * * [simplify]: iters left: 6 (11 enodes) 1.184 * * [simplify]: iters left: 5 (48 enodes) 1.200 * * [simplify]: iters left: 4 (77 enodes) 1.216 * * [simplify]: iters left: 3 (120 enodes) 1.251 * * [simplify]: iters left: 2 (218 enodes) 1.304 * * [simplify]: iters left: 1 (394 enodes) 1.475 * * [simplify]: Extracting #0: cost 1 inf + 0 1.475 * * [simplify]: Extracting #1: cost 3 inf + 0 1.475 * * [simplify]: Extracting #2: cost 29 inf + 0 1.475 * * [simplify]: Extracting #3: cost 109 inf + 1 1.476 * * [simplify]: Extracting #4: cost 179 inf + 176 1.477 * * [simplify]: Extracting #5: cost 171 inf + 1098 1.480 * * [simplify]: Extracting #6: cost 92 inf + 12160 1.487 * * [simplify]: Extracting #7: cost 26 inf + 47801 1.509 * * [simplify]: Extracting #8: cost 0 inf + 68613 1.537 * * [simplify]: Extracting #9: cost 0 inf + 64998 1.561 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1.561 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 1.561 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.561 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1.562 * * [simplify]: iters left: 6 (11 enodes) 1.568 * * [simplify]: iters left: 5 (48 enodes) 1.578 * * [simplify]: iters left: 4 (77 enodes) 1.591 * * [simplify]: iters left: 3 (120 enodes) 1.621 * * [simplify]: iters left: 2 (218 enodes) 1.682 * * [simplify]: iters left: 1 (394 enodes) 1.833 * * [simplify]: Extracting #0: cost 1 inf + 0 1.833 * * [simplify]: Extracting #1: cost 3 inf + 0 1.833 * * [simplify]: Extracting #2: cost 29 inf + 0 1.834 * * [simplify]: Extracting #3: cost 109 inf + 1 1.834 * * [simplify]: Extracting #4: cost 179 inf + 176 1.835 * * [simplify]: Extracting #5: cost 171 inf + 1098 1.838 * * [simplify]: Extracting #6: cost 92 inf + 12200 1.845 * * [simplify]: Extracting #7: cost 26 inf + 47841 1.857 * * [simplify]: Extracting #8: cost 0 inf + 68653 1.876 * * [simplify]: Extracting #9: cost 0 inf + 65038 1.899 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 1.899 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.900 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.900 * * [simplify]: iters left: 6 (13 enodes) 1.908 * * [simplify]: iters left: 5 (54 enodes) 1.926 * * [simplify]: iters left: 4 (97 enodes) 1.957 * * [simplify]: iters left: 3 (252 enodes) 2.060 * * [simplify]: Extracting #0: cost 1 inf + 0 2.060 * * [simplify]: Extracting #1: cost 37 inf + 0 2.060 * * [simplify]: Extracting #2: cost 136 inf + 73 2.061 * * [simplify]: Extracting #3: cost 160 inf + 1982 2.065 * * [simplify]: Extracting #4: cost 55 inf + 26873 2.078 * * [simplify]: Extracting #5: cost 5 inf + 40601 2.091 * * [simplify]: Extracting #6: cost 0 inf + 42409 2.099 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 2.100 * [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))) 2.100 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 2.100 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 2.100 * * [simplify]: iters left: 6 (12 enodes) 2.104 * * [simplify]: iters left: 5 (52 enodes) 2.112 * * [simplify]: iters left: 4 (90 enodes) 2.140 * * [simplify]: iters left: 3 (209 enodes) 2.213 * * [simplify]: Extracting #0: cost 1 inf + 0 2.213 * * [simplify]: Extracting #1: cost 33 inf + 0 2.214 * * [simplify]: Extracting #2: cost 117 inf + 73 2.214 * * [simplify]: Extracting #3: cost 141 inf + 1307 2.216 * * [simplify]: Extracting #4: cost 79 inf + 11364 2.221 * * [simplify]: Extracting #5: cost 30 inf + 22914 2.233 * * [simplify]: Extracting #6: cost 0 inf + 32222 2.246 * * [simplify]: Extracting #7: cost 0 inf + 32142 2.255 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 2.255 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 2.255 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 2.255 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 2.256 * * [simplify]: iters left: 6 (11 enodes) 2.259 * * [simplify]: iters left: 5 (51 enodes) 2.268 * * [simplify]: iters left: 4 (97 enodes) 2.290 * * [simplify]: iters left: 3 (203 enodes) 2.353 * * [simplify]: Extracting #0: cost 1 inf + 0 2.353 * * [simplify]: Extracting #1: cost 35 inf + 0 2.353 * * [simplify]: Extracting #2: cost 119 inf + 2 2.354 * * [simplify]: Extracting #3: cost 150 inf + 702 2.355 * * [simplify]: Extracting #4: cost 96 inf + 7237 2.359 * * [simplify]: Extracting #5: cost 29 inf + 21171 2.364 * * [simplify]: Extracting #6: cost 6 inf + 26771 2.374 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.390 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.390 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.390 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 2.390 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 2.390 * * [simplify]: iters left: 6 (11 enodes) 2.397 * * [simplify]: iters left: 5 (51 enodes) 2.415 * * [simplify]: iters left: 4 (97 enodes) 2.439 * * [simplify]: iters left: 3 (203 enodes) 2.500 * * [simplify]: Extracting #0: cost 1 inf + 0 2.500 * * [simplify]: Extracting #1: cost 35 inf + 0 2.500 * * [simplify]: Extracting #2: cost 119 inf + 2 2.501 * * [simplify]: Extracting #3: cost 150 inf + 702 2.502 * * [simplify]: Extracting #4: cost 96 inf + 7237 2.510 * * [simplify]: Extracting #5: cost 29 inf + 21171 2.520 * * [simplify]: Extracting #6: cost 6 inf + 26771 2.526 * * [simplify]: Extracting #7: cost 0 inf + 28612 2.532 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.532 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.532 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 2.532 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.532 * * [simplify]: iters left: 6 (6 enodes) 2.535 * * [simplify]: iters left: 5 (27 enodes) 2.540 * * [simplify]: iters left: 4 (47 enodes) 2.548 * * [simplify]: iters left: 3 (59 enodes) 2.566 * * [simplify]: iters left: 2 (79 enodes) 2.594 * * [simplify]: iters left: 1 (108 enodes) 2.620 * * [simplify]: Extracting #0: cost 1 inf + 0 2.620 * * [simplify]: Extracting #1: cost 10 inf + 0 2.621 * * [simplify]: Extracting #2: cost 19 inf + 3 2.621 * * [simplify]: Extracting #3: cost 15 inf + 131 2.622 * * [simplify]: Extracting #4: cost 1 inf + 1004 2.622 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.623 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.623 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.624 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 2.624 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.624 * * [simplify]: iters left: 6 (6 enodes) 2.629 * * [simplify]: iters left: 5 (27 enodes) 2.639 * * [simplify]: iters left: 4 (47 enodes) 2.653 * * [simplify]: iters left: 3 (59 enodes) 2.671 * * [simplify]: iters left: 2 (79 enodes) 2.696 * * [simplify]: iters left: 1 (108 enodes) 2.725 * * [simplify]: Extracting #0: cost 1 inf + 0 2.725 * * [simplify]: Extracting #1: cost 10 inf + 0 2.726 * * [simplify]: Extracting #2: cost 19 inf + 3 2.726 * * [simplify]: Extracting #3: cost 15 inf + 131 2.726 * * [simplify]: Extracting #4: cost 1 inf + 1004 2.727 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.728 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.728 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.728 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 2.729 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 2.729 * * [simplify]: iters left: 6 (6 enodes) 2.733 * * [simplify]: iters left: 5 (27 enodes) 2.744 * * [simplify]: iters left: 4 (47 enodes) 2.758 * * [simplify]: iters left: 3 (59 enodes) 2.777 * * [simplify]: iters left: 2 (79 enodes) 2.801 * * [simplify]: iters left: 1 (108 enodes) 2.828 * * [simplify]: Extracting #0: cost 1 inf + 0 2.828 * * [simplify]: Extracting #1: cost 10 inf + 0 2.828 * * [simplify]: Extracting #2: cost 19 inf + 3 2.829 * * [simplify]: Extracting #3: cost 15 inf + 131 2.829 * * [simplify]: Extracting #4: cost 1 inf + 1004 2.830 * * [simplify]: Extracting #5: cost 0 inf + 1086 2.831 * [simplify]: Simplified to (* 1/2 (- 1 k)) 2.831 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (sqrt k))) 2.831 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 2.832 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 2.832 * * [simplify]: iters left: 5 (8 enodes) 2.838 * * [simplify]: iters left: 4 (35 enodes) 2.853 * * [simplify]: iters left: 3 (63 enodes) 2.879 * * [simplify]: iters left: 2 (108 enodes) 2.895 * * [simplify]: iters left: 1 (162 enodes) 2.930 * * [simplify]: Extracting #0: cost 1 inf + 0 2.930 * * [simplify]: Extracting #1: cost 12 inf + 0 2.930 * * [simplify]: Extracting #2: cost 40 inf + 2 2.930 * * [simplify]: Extracting #3: cost 40 inf + 9 2.931 * * [simplify]: Extracting #4: cost 25 inf + 2233 2.933 * * [simplify]: Extracting #5: cost 10 inf + 8991 2.936 * * [simplify]: Extracting #6: cost 0 inf + 14572 2.940 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 2.940 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) 2.940 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.941 * * [simplify]: iters left: 5 (8 enodes) 2.945 * * [simplify]: iters left: 4 (31 enodes) 2.955 * * [simplify]: iters left: 3 (51 enodes) 2.972 * * [simplify]: iters left: 2 (85 enodes) 2.990 * * [simplify]: iters left: 1 (152 enodes) 3.020 * * [simplify]: Extracting #0: cost 1 inf + 0 3.020 * * [simplify]: Extracting #1: cost 13 inf + 0 3.020 * * [simplify]: Extracting #2: cost 60 inf + 1 3.020 * * [simplify]: Extracting #3: cost 75 inf + 9 3.021 * * [simplify]: Extracting #4: cost 41 inf + 3220 3.022 * * [simplify]: Extracting #5: cost 16 inf + 10552 3.027 * * [simplify]: Extracting #6: cost 0 inf + 20904 3.032 * * [simplify]: Extracting #7: cost 0 inf + 20373 3.038 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 3.038 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 3.038 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 3.038 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 3.039 * * [simplify]: iters left: 6 (12 enodes) 3.046 * * [simplify]: iters left: 5 (51 enodes) 3.063 * * [simplify]: iters left: 4 (79 enodes) 3.090 * * [simplify]: iters left: 3 (118 enodes) 3.123 * * [simplify]: iters left: 2 (199 enodes) 3.171 * * [simplify]: iters left: 1 (354 enodes) 3.341 * * [simplify]: Extracting #0: cost 1 inf + 0 3.341 * * [simplify]: Extracting #1: cost 27 inf + 0 3.341 * * [simplify]: Extracting #2: cost 112 inf + 1 3.343 * * [simplify]: Extracting #3: cost 194 inf + 175 3.345 * * [simplify]: Extracting #4: cost 203 inf + 429 3.346 * * [simplify]: Extracting #5: cost 208 inf + 429 3.348 * * [simplify]: Extracting #6: cost 200 inf + 1412 3.352 * * [simplify]: Extracting #7: cost 93 inf + 27530 3.369 * * [simplify]: Extracting #8: cost 23 inf + 71276 3.395 * * [simplify]: Extracting #9: cost 0 inf + 92839 3.431 * * [simplify]: Extracting #10: cost 0 inf + 91398 3.467 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 3.468 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 3.468 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 3.468 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 3.468 * * [simplify]: iters left: 6 (11 enodes) 3.475 * * [simplify]: iters left: 5 (48 enodes) 3.491 * * [simplify]: iters left: 4 (74 enodes) 3.513 * * [simplify]: iters left: 3 (105 enodes) 3.550 * * [simplify]: iters left: 2 (161 enodes) 3.606 * * [simplify]: iters left: 1 (278 enodes) 3.785 * * [simplify]: Extracting #0: cost 1 inf + 0 3.785 * * [simplify]: Extracting #1: cost 29 inf + 0 3.786 * * [simplify]: Extracting #2: cost 103 inf + 1 3.787 * * [simplify]: Extracting #3: cost 133 inf + 174 3.788 * * [simplify]: Extracting #4: cost 132 inf + 388 3.789 * * [simplify]: Extracting #5: cost 129 inf + 556 3.793 * * [simplify]: Extracting #6: cost 86 inf + 11351 3.799 * * [simplify]: Extracting #7: cost 50 inf + 25422 3.810 * * [simplify]: Extracting #8: cost 1 inf + 70565 3.823 * * [simplify]: Extracting #9: cost 0 inf + 71813 3.835 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 3.836 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 3.836 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 3.836 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 3.836 * * [simplify]: iters left: 6 (14 enodes) 3.840 * * [simplify]: iters left: 5 (59 enodes) 3.850 * * [simplify]: iters left: 4 (104 enodes) 3.871 * * [simplify]: iters left: 3 (186 enodes) 3.927 * * [simplify]: iters left: 2 (434 enodes) 4.208 * * [simplify]: Extracting #0: cost 1 inf + 0 4.208 * * [simplify]: Extracting #1: cost 12 inf + 0 4.208 * * [simplify]: Extracting #2: cost 112 inf + 1 4.209 * * [simplify]: Extracting #3: cost 232 inf + 215 4.210 * * [simplify]: Extracting #4: cost 230 inf + 1838 4.213 * * [simplify]: Extracting #5: cost 162 inf + 17856 4.237 * * [simplify]: Extracting #6: cost 33 inf + 62390 4.267 * * [simplify]: Extracting #7: cost 2 inf + 84429 4.299 * * [simplify]: Extracting #8: cost 0 inf + 84580 4.330 * * [simplify]: Extracting #9: cost 0 inf + 84291 4.362 * * [simplify]: Extracting #10: cost 0 inf + 84213 4.392 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 4.393 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 4.393 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 4.393 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 4.393 * * [simplify]: iters left: 6 (13 enodes) 4.402 * * [simplify]: iters left: 5 (52 enodes) 4.417 * * [simplify]: iters left: 4 (82 enodes) 4.430 * * [simplify]: iters left: 3 (136 enodes) 4.457 * * [simplify]: iters left: 2 (272 enodes) 4.530 * * [simplify]: Extracting #0: cost 1 inf + 0 4.530 * * [simplify]: Extracting #1: cost 12 inf + 0 4.531 * * [simplify]: Extracting #2: cost 88 inf + 1 4.531 * * [simplify]: Extracting #3: cost 151 inf + 6 4.532 * * [simplify]: Extracting #4: cost 144 inf + 992 4.533 * * [simplify]: Extracting #5: cost 131 inf + 2339 4.536 * * [simplify]: Extracting #6: cost 59 inf + 21693 4.544 * * [simplify]: Extracting #7: cost 9 inf + 46808 4.556 * * [simplify]: Extracting #8: cost 0 inf + 55030 4.572 * * [simplify]: Extracting #9: cost 0 inf + 54610 4.591 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 4.591 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 4.592 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 4.592 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 4.592 * * [simplify]: iters left: 6 (12 enodes) 4.599 * * [simplify]: iters left: 5 (47 enodes) 4.615 * * [simplify]: iters left: 4 (83 enodes) 4.639 * * [simplify]: iters left: 3 (123 enodes) 4.660 * * [simplify]: iters left: 2 (221 enodes) 4.762 * * [simplify]: iters left: 1 (473 enodes) 5.188 * * [simplify]: Extracting #0: cost 1 inf + 0 5.188 * * [simplify]: Extracting #1: cost 34 inf + 0 5.189 * * [simplify]: Extracting #2: cost 135 inf + 1 5.191 * * [simplify]: Extracting #3: cost 212 inf + 136 5.193 * * [simplify]: Extracting #4: cost 213 inf + 431 5.196 * * [simplify]: Extracting #5: cost 211 inf + 515 5.202 * * [simplify]: Extracting #6: cost 142 inf + 14322 5.216 * * [simplify]: Extracting #7: cost 51 inf + 52633 5.235 * * [simplify]: Extracting #8: cost 11 inf + 89338 5.258 * * [simplify]: Extracting #9: cost 0 inf + 103865 5.277 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 5.277 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 5.277 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 5.277 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 5.278 * * [simplify]: iters left: 6 (13 enodes) 5.282 * * [simplify]: iters left: 5 (52 enodes) 5.295 * * [simplify]: iters left: 4 (80 enodes) 5.318 * * [simplify]: iters left: 3 (128 enodes) 5.354 * * [simplify]: iters left: 2 (246 enodes) 5.404 * * [simplify]: iters left: 1 (489 enodes) 5.795 * * [simplify]: Extracting #0: cost 1 inf + 0 5.795 * * [simplify]: Extracting #1: cost 30 inf + 0 5.796 * * [simplify]: Extracting #2: cost 204 inf + 1 5.797 * * [simplify]: Extracting #3: cost 422 inf + 743 5.800 * * [simplify]: Extracting #4: cost 379 inf + 9404 5.803 * * [simplify]: Extracting #5: cost 350 inf + 14022 5.816 * * [simplify]: Extracting #6: cost 172 inf + 57888 5.845 * * [simplify]: Extracting #7: cost 16 inf + 135359 5.879 * * [simplify]: Extracting #8: cost 0 inf + 150451 5.910 * * [simplify]: Extracting #9: cost 0 inf + 149971 5.967 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 5.967 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 5.967 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 5.967 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 5.968 * * [simplify]: iters left: 6 (12 enodes) 5.974 * * [simplify]: iters left: 5 (47 enodes) 5.990 * * [simplify]: iters left: 4 (71 enodes) 6.013 * * [simplify]: iters left: 3 (109 enodes) 6.049 * * [simplify]: iters left: 2 (192 enodes) 6.123 * * [simplify]: iters left: 1 (357 enodes) 6.362 * * [simplify]: Extracting #0: cost 1 inf + 0 6.362 * * [simplify]: Extracting #1: cost 29 inf + 0 6.363 * * [simplify]: Extracting #2: cost 135 inf + 1 6.368 * * [simplify]: Extracting #3: cost 251 inf + 255 6.371 * * [simplify]: Extracting #4: cost 225 inf + 3400 6.374 * * [simplify]: Extracting #5: cost 205 inf + 5445 6.383 * * [simplify]: Extracting #6: cost 122 inf + 23316 6.403 * * [simplify]: Extracting #7: cost 43 inf + 53612 6.435 * * [simplify]: Extracting #8: cost 2 inf + 92427 6.469 * * [simplify]: Extracting #9: cost 0 inf + 94805 6.502 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 6.502 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 6.503 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 6.503 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 6.503 * * [simplify]: iters left: 6 (11 enodes) 6.510 * * [simplify]: iters left: 5 (42 enodes) 6.526 * * [simplify]: iters left: 4 (64 enodes) 6.548 * * [simplify]: iters left: 3 (98 enodes) 6.578 * * [simplify]: iters left: 2 (156 enodes) 6.633 * * [simplify]: iters left: 1 (280 enodes) 6.767 * * [simplify]: Extracting #0: cost 1 inf + 0 6.767 * * [simplify]: Extracting #1: cost 30 inf + 0 6.767 * * [simplify]: Extracting #2: cost 110 inf + 1 6.768 * * [simplify]: Extracting #3: cost 133 inf + 133 6.768 * * [simplify]: Extracting #4: cost 128 inf + 429 6.769 * * [simplify]: Extracting #5: cost 118 inf + 1666 6.772 * * [simplify]: Extracting #6: cost 62 inf + 21931 6.781 * * [simplify]: Extracting #7: cost 7 inf + 67089 6.792 * * [simplify]: Extracting #8: cost 0 inf + 70630 6.803 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 6.803 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 6.803 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 6.804 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 6.804 * * [simplify]: iters left: 6 (10 enodes) 6.807 * * [simplify]: iters left: 5 (41 enodes) 6.814 * * [simplify]: iters left: 4 (66 enodes) 6.826 * * [simplify]: iters left: 3 (116 enodes) 6.861 * * [simplify]: iters left: 2 (219 enodes) 6.957 * * [simplify]: iters left: 1 (499 enodes) 7.366 * * [simplify]: Extracting #0: cost 1 inf + 0 7.366 * * [simplify]: Extracting #1: cost 35 inf + 0 7.367 * * [simplify]: Extracting #2: cost 129 inf + 1 7.368 * * [simplify]: Extracting #3: cost 198 inf + 827 7.375 * * [simplify]: Extracting #4: cost 122 inf + 18089 7.397 * * [simplify]: Extracting #5: cost 25 inf + 62444 7.429 * * [simplify]: Extracting #6: cost 0 inf + 84055 7.446 * * [simplify]: Extracting #7: cost 0 inf + 83884 7.468 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 7.468 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 7.469 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 7.469 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 7.469 * * [simplify]: iters left: 5 (9 enodes) 7.474 * * [simplify]: iters left: 4 (36 enodes) 7.487 * * [simplify]: iters left: 3 (57 enodes) 7.507 * * [simplify]: iters left: 2 (96 enodes) 7.542 * * [simplify]: iters left: 1 (171 enodes) 7.589 * * [simplify]: Extracting #0: cost 1 inf + 0 7.589 * * [simplify]: Extracting #1: cost 12 inf + 0 7.589 * * [simplify]: Extracting #2: cost 50 inf + 1 7.589 * * [simplify]: Extracting #3: cost 73 inf + 6 7.590 * * [simplify]: Extracting #4: cost 58 inf + 1463 7.593 * * [simplify]: Extracting #5: cost 24 inf + 7936 7.599 * * [simplify]: Extracting #6: cost 2 inf + 20820 7.605 * * [simplify]: Extracting #7: cost 0 inf + 22437 7.612 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 7.612 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 7.612 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 7.613 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 7.613 * * [simplify]: iters left: 5 (8 enodes) 7.619 * * [simplify]: iters left: 4 (34 enodes) 7.626 * * [simplify]: iters left: 3 (64 enodes) 7.639 * * [simplify]: iters left: 2 (105 enodes) 7.660 * * [simplify]: iters left: 1 (177 enodes) 7.703 * * [simplify]: Extracting #0: cost 1 inf + 0 7.703 * * [simplify]: Extracting #1: cost 17 inf + 0 7.703 * * [simplify]: Extracting #2: cost 34 inf + 46 7.703 * * [simplify]: Extracting #3: cost 26 inf + 466 7.704 * * [simplify]: Extracting #4: cost 11 inf + 6543 7.705 * * [simplify]: Extracting #5: cost 1 inf + 10885 7.706 * * [simplify]: Extracting #6: cost 0 inf + 11179 7.708 * [simplify]: Simplified to (* (* PI 2) n) 7.708 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 7.708 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 7.708 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.708 * * [simplify]: iters left: 6 (14 enodes) 7.713 * * [simplify]: iters left: 5 (54 enodes) 7.727 * * [simplify]: iters left: 4 (79 enodes) 7.756 * * [simplify]: iters left: 3 (128 enodes) 7.790 * * [simplify]: iters left: 2 (254 enodes) 7.853 * * [simplify]: Extracting #0: cost 1 inf + 0 7.853 * * [simplify]: Extracting #1: cost 12 inf + 0 7.854 * * [simplify]: Extracting #2: cost 77 inf + 1 7.854 * * [simplify]: Extracting #3: cost 138 inf + 6 7.856 * * [simplify]: Extracting #4: cost 120 inf + 2850 7.858 * * [simplify]: Extracting #5: cost 100 inf + 5521 7.863 * * [simplify]: Extracting #6: cost 51 inf + 18163 7.875 * * [simplify]: Extracting #7: cost 10 inf + 40091 7.890 * * [simplify]: Extracting #8: cost 1 inf + 48527 7.899 * * [simplify]: Extracting #9: cost 0 inf + 49395 7.908 * * [simplify]: Extracting #10: cost 0 inf + 49355 7.916 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 7.916 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k))) 7.916 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 7.916 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 7.916 * * [simplify]: iters left: 6 (13 enodes) 7.921 * * [simplify]: iters left: 5 (49 enodes) 7.929 * * [simplify]: iters left: 4 (70 enodes) 7.943 * * [simplify]: iters left: 3 (109 enodes) 7.971 * * [simplify]: iters left: 2 (197 enodes) 8.028 * * [simplify]: iters left: 1 (359 enodes) 8.195 * * [simplify]: Extracting #0: cost 1 inf + 0 8.195 * * [simplify]: Extracting #1: cost 28 inf + 0 8.196 * * [simplify]: Extracting #2: cost 147 inf + 1 8.198 * * [simplify]: Extracting #3: cost 239 inf + 301 8.200 * * [simplify]: Extracting #4: cost 242 inf + 553 8.204 * * [simplify]: Extracting #5: cost 200 inf + 5395 8.213 * * [simplify]: Extracting #6: cost 113 inf + 24066 8.226 * * [simplify]: Extracting #7: cost 27 inf + 67703 8.243 * * [simplify]: Extracting #8: cost 2 inf + 91941 8.274 * * [simplify]: Extracting #9: cost 0 inf + 93353 8.292 * * [simplify]: Extracting #10: cost 0 inf + 92703 8.310 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.310 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k))) 8.310 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 8.310 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 8.311 * * [simplify]: iters left: 6 (12 enodes) 8.315 * * [simplify]: iters left: 5 (44 enodes) 8.329 * * [simplify]: iters left: 4 (63 enodes) 8.350 * * [simplify]: iters left: 3 (96 enodes) 8.373 * * [simplify]: iters left: 2 (161 enodes) 8.404 * * [simplify]: iters left: 1 (290 enodes) 8.513 * * [simplify]: Extracting #0: cost 1 inf + 0 8.514 * * [simplify]: Extracting #1: cost 27 inf + 0 8.514 * * [simplify]: Extracting #2: cost 96 inf + 1 8.514 * * [simplify]: Extracting #3: cost 132 inf + 215 8.515 * * [simplify]: Extracting #4: cost 124 inf + 609 8.517 * * [simplify]: Extracting #5: cost 77 inf + 11236 8.522 * * [simplify]: Extracting #6: cost 27 inf + 36948 8.536 * * [simplify]: Extracting #7: cost 3 inf + 60599 8.556 * * [simplify]: Extracting #8: cost 0 inf + 62560 8.575 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 8.575 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k))) 8.575 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 8.576 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 8.576 * * [simplify]: iters left: 6 (13 enodes) 8.583 * * [simplify]: iters left: 5 (51 enodes) 8.600 * * [simplify]: iters left: 4 (76 enodes) 8.622 * * [simplify]: iters left: 3 (124 enodes) 8.644 * * [simplify]: iters left: 2 (250 enodes) 8.706 * * [simplify]: Extracting #0: cost 1 inf + 0 8.706 * * [simplify]: Extracting #1: cost 13 inf + 0 8.707 * * [simplify]: Extracting #2: cost 76 inf + 1 8.708 * * [simplify]: Extracting #3: cost 135 inf + 209 8.709 * * [simplify]: Extracting #4: cost 115 inf + 3416 8.711 * * [simplify]: Extracting #5: cost 97 inf + 6088 8.716 * * [simplify]: Extracting #6: cost 51 inf + 17292 8.722 * * [simplify]: Extracting #7: cost 10 inf + 38414 8.729 * * [simplify]: Extracting #8: cost 0 inf + 47532 8.737 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 8.737 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 8.737 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 8.737 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 8.737 * * [simplify]: iters left: 6 (12 enodes) 8.741 * * [simplify]: iters left: 5 (46 enodes) 8.748 * * [simplify]: iters left: 4 (67 enodes) 8.762 * * [simplify]: iters left: 3 (106 enodes) 8.803 * * [simplify]: iters left: 2 (197 enodes) 8.844 * * [simplify]: iters left: 1 (361 enodes) 9.056 * * [simplify]: Extracting #0: cost 1 inf + 0 9.056 * * [simplify]: Extracting #1: cost 30 inf + 0 9.057 * * [simplify]: Extracting #2: cost 143 inf + 1 9.058 * * [simplify]: Extracting #3: cost 241 inf + 217 9.059 * * [simplify]: Extracting #4: cost 235 inf + 1328 9.061 * * [simplify]: Extracting #5: cost 200 inf + 5397 9.068 * * [simplify]: Extracting #6: cost 106 inf + 27712 9.090 * * [simplify]: Extracting #7: cost 21 inf + 75125 9.122 * * [simplify]: Extracting #8: cost 0 inf + 91395 9.154 * * [simplify]: Extracting #9: cost 0 inf + 87671 9.205 * * [simplify]: Extracting #10: cost 0 inf + 87151 9.257 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 9.257 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 9.257 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 9.258 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 9.258 * * [simplify]: iters left: 6 (11 enodes) 9.263 * * [simplify]: iters left: 5 (41 enodes) 9.270 * * [simplify]: iters left: 4 (60 enodes) 9.280 * * [simplify]: iters left: 3 (94 enodes) 9.299 * * [simplify]: iters left: 2 (156 enodes) 9.353 * * [simplify]: iters left: 1 (287 enodes) 9.494 * * [simplify]: Extracting #0: cost 1 inf + 0 9.494 * * [simplify]: Extracting #1: cost 29 inf + 0 9.494 * * [simplify]: Extracting #2: cost 102 inf + 1 9.495 * * [simplify]: Extracting #3: cost 133 inf + 216 9.495 * * [simplify]: Extracting #4: cost 129 inf + 347 9.496 * * [simplify]: Extracting #5: cost 123 inf + 718 9.498 * * [simplify]: Extracting #6: cost 69 inf + 14066 9.505 * * [simplify]: Extracting #7: cost 11 inf + 54785 9.519 * * [simplify]: Extracting #8: cost 0 inf + 65444 9.538 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 9.539 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 9.539 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 9.539 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 9.539 * * [simplify]: iters left: 6 (10 enodes) 9.545 * * [simplify]: iters left: 5 (41 enodes) 9.560 * * [simplify]: iters left: 4 (66 enodes) 9.587 * * [simplify]: iters left: 3 (116 enodes) 9.628 * * [simplify]: iters left: 2 (219 enodes) 9.738 * * [simplify]: iters left: 1 (499 enodes) 10.143 * * [simplify]: Extracting #0: cost 1 inf + 0 10.143 * * [simplify]: Extracting #1: cost 35 inf + 0 10.143 * * [simplify]: Extracting #2: cost 129 inf + 1 10.150 * * [simplify]: Extracting #3: cost 198 inf + 827 10.153 * * [simplify]: Extracting #4: cost 122 inf + 18089 10.164 * * [simplify]: Extracting #5: cost 25 inf + 62444 10.179 * * [simplify]: Extracting #6: cost 0 inf + 84055 10.196 * * [simplify]: Extracting #7: cost 0 inf + 83884 10.213 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 10.213 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 10.213 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 10.213 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 10.213 * * [simplify]: iters left: 5 (9 enodes) 10.216 * * [simplify]: iters left: 4 (36 enodes) 10.228 * * [simplify]: iters left: 3 (57 enodes) 10.247 * * [simplify]: iters left: 2 (96 enodes) 10.266 * * [simplify]: iters left: 1 (171 enodes) 10.331 * * [simplify]: Extracting #0: cost 1 inf + 0 10.331 * * [simplify]: Extracting #1: cost 12 inf + 0 10.331 * * [simplify]: Extracting #2: cost 50 inf + 1 10.332 * * [simplify]: Extracting #3: cost 73 inf + 6 10.333 * * [simplify]: Extracting #4: cost 58 inf + 1463 10.336 * * [simplify]: Extracting #5: cost 24 inf + 7936 10.341 * * [simplify]: Extracting #6: cost 2 inf + 20820 10.345 * * [simplify]: Extracting #7: cost 0 inf + 22437 10.349 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 10.349 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 10.349 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 10.349 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 10.349 * * [simplify]: iters left: 5 (8 enodes) 10.353 * * [simplify]: iters left: 4 (34 enodes) 10.362 * * [simplify]: iters left: 3 (64 enodes) 10.381 * * [simplify]: iters left: 2 (105 enodes) 10.416 * * [simplify]: iters left: 1 (177 enodes) 10.466 * * [simplify]: Extracting #0: cost 1 inf + 0 10.466 * * [simplify]: Extracting #1: cost 17 inf + 0 10.466 * * [simplify]: Extracting #2: cost 34 inf + 46 10.466 * * [simplify]: Extracting #3: cost 26 inf + 466 10.467 * * [simplify]: Extracting #4: cost 11 inf + 6543 10.468 * * [simplify]: Extracting #5: cost 1 inf + 10885 10.472 * * [simplify]: Extracting #6: cost 0 inf + 11179 10.473 * [simplify]: Simplified to (* (* PI 2) n) 10.473 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 10.473 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 10.474 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 10.474 * * [simplify]: iters left: 5 (7 enodes) 10.477 * * [simplify]: iters left: 4 (30 enodes) 10.484 * * [simplify]: iters left: 3 (58 enodes) 10.497 * * [simplify]: iters left: 2 (99 enodes) 10.530 * * [simplify]: iters left: 1 (171 enodes) 10.574 * * [simplify]: Extracting #0: cost 1 inf + 0 10.574 * * [simplify]: Extracting #1: cost 18 inf + 0 10.574 * * [simplify]: Extracting #2: cost 35 inf + 46 10.575 * * [simplify]: Extracting #3: cost 25 inf + 1347 10.576 * * [simplify]: Extracting #4: cost 14 inf + 5442 10.579 * * [simplify]: Extracting #5: cost 7 inf + 7909 10.582 * * [simplify]: Extracting #6: cost 0 inf + 11764 10.586 * [simplify]: Simplified to (* (* PI 2) n) 10.586 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 10.586 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 10.586 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 10.586 * * [simplify]: iters left: 5 (9 enodes) 10.591 * * [simplify]: iters left: 4 (38 enodes) 10.604 * * [simplify]: iters left: 3 (64 enodes) 10.624 * * [simplify]: iters left: 2 (102 enodes) 10.659 * * [simplify]: iters left: 1 (175 enodes) 10.726 * * [simplify]: Extracting #0: cost 1 inf + 0 10.726 * * [simplify]: Extracting #1: cost 13 inf + 0 10.726 * * [simplify]: Extracting #2: cost 59 inf + 1 10.727 * * [simplify]: Extracting #3: cost 82 inf + 132 10.728 * * [simplify]: Extracting #4: cost 42 inf + 5349 10.732 * * [simplify]: Extracting #5: cost 14 inf + 14425 10.739 * * [simplify]: Extracting #6: cost 0 inf + 23442 10.746 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 10.746 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (sqrt k))) 10.746 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 10.746 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 10.746 * * [simplify]: iters left: 5 (7 enodes) 10.751 * * [simplify]: iters left: 4 (32 enodes) 10.762 * * [simplify]: iters left: 3 (57 enodes) 10.771 * * [simplify]: iters left: 2 (90 enodes) 10.788 * * [simplify]: iters left: 1 (170 enodes) 10.834 * * [simplify]: Extracting #0: cost 1 inf + 0 10.834 * * [simplify]: Extracting #1: cost 13 inf + 0 10.835 * * [simplify]: Extracting #2: cost 55 inf + 2 10.835 * * [simplify]: Extracting #3: cost 88 inf + 6 10.835 * * [simplify]: Extracting #4: cost 77 inf + 1344 10.837 * * [simplify]: Extracting #5: cost 20 inf + 14540 10.841 * * [simplify]: Extracting #6: cost 1 inf + 21921 10.845 * * [simplify]: Extracting #7: cost 0 inf + 21176 10.849 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 10.849 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 10.849 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 10.849 * * [simplify]: iters left: 5 (8 enodes) 10.853 * * [simplify]: iters left: 4 (36 enodes) 10.860 * * [simplify]: iters left: 3 (57 enodes) 10.870 * * [simplify]: iters left: 2 (92 enodes) 10.893 * * [simplify]: iters left: 1 (188 enodes) 10.940 * * [simplify]: Extracting #0: cost 1 inf + 0 10.940 * * [simplify]: Extracting #1: cost 13 inf + 0 10.940 * * [simplify]: Extracting #2: cost 58 inf + 1 10.941 * * [simplify]: Extracting #3: cost 91 inf + 6 10.941 * * [simplify]: Extracting #4: cost 87 inf + 1138 10.942 * * [simplify]: Extracting #5: cost 35 inf + 9706 10.947 * * [simplify]: Extracting #6: cost 17 inf + 12930 10.953 * * [simplify]: Extracting #7: cost 0 inf + 24388 10.960 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 10.960 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 10.960 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 10.961 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 10.961 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 10.961 * * [simplify]: iters left: 6 (11 enodes) 10.968 * * [simplify]: iters left: 5 (50 enodes) 10.980 * * [simplify]: iters left: 4 (97 enodes) 10.998 * * [simplify]: iters left: 3 (196 enodes) 11.063 * * [simplify]: Extracting #0: cost 1 inf + 0 11.063 * * [simplify]: Extracting #1: cost 49 inf + 0 11.063 * * [simplify]: Extracting #2: cost 135 inf + 1 11.064 * * [simplify]: Extracting #3: cost 177 inf + 639 11.065 * * [simplify]: Extracting #4: cost 133 inf + 7119 11.070 * * [simplify]: Extracting #5: cost 24 inf + 30350 11.076 * * [simplify]: Extracting #6: cost 0 inf + 37308 11.083 * * [simplify]: Extracting #7: cost 0 inf + 37228 11.090 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 11.090 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (sqrt k))) 11.090 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 11.090 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.090 * * [simplify]: iters left: 6 (11 enodes) 11.094 * * [simplify]: iters left: 5 (48 enodes) 11.112 * * [simplify]: iters left: 4 (79 enodes) 11.131 * * [simplify]: iters left: 3 (127 enodes) 11.156 * * [simplify]: iters left: 2 (246 enodes) 11.219 * * [simplify]: iters left: 1 (492 enodes) 11.473 * * [simplify]: Extracting #0: cost 1 inf + 0 11.473 * * [simplify]: Extracting #1: cost 26 inf + 0 11.474 * * [simplify]: Extracting #2: cost 138 inf + 0 11.475 * * [simplify]: Extracting #3: cost 275 inf + 4 11.478 * * [simplify]: Extracting #4: cost 297 inf + 182 11.481 * * [simplify]: Extracting #5: cost 276 inf + 2211 11.487 * * [simplify]: Extracting #6: cost 200 inf + 16237 11.512 * * [simplify]: Extracting #7: cost 72 inf + 103508 11.554 * * [simplify]: Extracting #8: cost 6 inf + 151479 11.583 * * [simplify]: Extracting #9: cost 0 inf + 152994 11.623 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 11.623 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt k))) 11.623 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 11.624 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 11.624 * * [simplify]: iters left: 6 (12 enodes) 11.631 * * [simplify]: iters left: 5 (51 enodes) 11.649 * * [simplify]: iters left: 4 (84 enodes) 11.677 * * [simplify]: iters left: 3 (127 enodes) 11.720 * * [simplify]: iters left: 2 (212 enodes) 11.782 * * [simplify]: iters left: 1 (389 enodes) 11.926 * * [simplify]: Extracting #0: cost 1 inf + 0 11.926 * * [simplify]: Extracting #1: cost 3 inf + 0 11.926 * * [simplify]: Extracting #2: cost 5 inf + 0 11.926 * * [simplify]: Extracting #3: cost 34 inf + 0 11.926 * * [simplify]: Extracting #4: cost 116 inf + 1 11.927 * * [simplify]: Extracting #5: cost 167 inf + 176 11.928 * * [simplify]: Extracting #6: cost 165 inf + 726 11.930 * * [simplify]: Extracting #7: cost 91 inf + 13517 11.936 * * [simplify]: Extracting #8: cost 25 inf + 46336 11.950 * * [simplify]: Extracting #9: cost 0 inf + 68280 11.971 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 11.971 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))) 11.971 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 11.971 * * [simplify]: iters left: 6 (11 enodes) 11.978 * * [simplify]: iters left: 5 (48 enodes) 11.994 * * [simplify]: iters left: 4 (77 enodes) 12.018 * * [simplify]: iters left: 3 (120 enodes) 12.067 * * [simplify]: iters left: 2 (218 enodes) 12.144 * * [simplify]: iters left: 1 (394 enodes) 12.314 * * [simplify]: Extracting #0: cost 1 inf + 0 12.314 * * [simplify]: Extracting #1: cost 3 inf + 0 12.314 * * [simplify]: Extracting #2: cost 29 inf + 0 12.315 * * [simplify]: Extracting #3: cost 109 inf + 1 12.316 * * [simplify]: Extracting #4: cost 179 inf + 176 12.318 * * [simplify]: Extracting #5: cost 171 inf + 1098 12.323 * * [simplify]: Extracting #6: cost 92 inf + 12180 12.337 * * [simplify]: Extracting #7: cost 26 inf + 47821 12.351 * * [simplify]: Extracting #8: cost 0 inf + 68633 12.367 * * [simplify]: Extracting #9: cost 0 inf + 65018 12.383 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 12.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (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))))) (sqrt k))) 12.383 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 12.384 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 12.384 * * [simplify]: iters left: 6 (12 enodes) 12.391 * * [simplify]: iters left: 5 (54 enodes) 12.409 * * [simplify]: iters left: 4 (107 enodes) 12.452 * * [simplify]: iters left: 3 (222 enodes) 12.537 * * [simplify]: iters left: 2 (475 enodes) 12.859 * * [simplify]: Extracting #0: cost 1 inf + 0 12.859 * * [simplify]: Extracting #1: cost 47 inf + 0 12.860 * * [simplify]: Extracting #2: cost 142 inf + 3 12.862 * * [simplify]: Extracting #3: cost 194 inf + 5 12.864 * * [simplify]: Extracting #4: cost 194 inf + 1683 12.869 * * [simplify]: Extracting #5: cost 137 inf + 12622 12.888 * * [simplify]: Extracting #6: cost 45 inf + 79968 12.924 * * [simplify]: Extracting #7: cost 0 inf + 123726 12.961 * * [simplify]: Extracting #8: cost 0 inf + 120622 12.983 * * [simplify]: Extracting #9: cost 0 inf + 120571 13.009 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 13.009 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (sqrt k))) 13.009 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 13.010 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 13.010 * * [simplify]: iters left: 6 (11 enodes) 13.014 * * [simplify]: iters left: 5 (48 enodes) 13.022 * * [simplify]: iters left: 4 (78 enodes) 13.036 * * [simplify]: iters left: 3 (122 enodes) 13.062 * * [simplify]: iters left: 2 (223 enodes) 13.123 * * [simplify]: iters left: 1 (410 enodes) 13.325 * * [simplify]: Extracting #0: cost 1 inf + 0 13.325 * * [simplify]: Extracting #1: cost 4 inf + 0 13.325 * * [simplify]: Extracting #2: cost 34 inf + 0 13.326 * * [simplify]: Extracting #3: cost 129 inf + 1 13.326 * * [simplify]: Extracting #4: cost 173 inf + 220 13.327 * * [simplify]: Extracting #5: cost 166 inf + 932 13.330 * * [simplify]: Extracting #6: cost 88 inf + 11591 13.337 * * [simplify]: Extracting #7: cost 23 inf + 44560 13.350 * * [simplify]: Extracting #8: cost 0 inf + 67855 13.372 * * [simplify]: Extracting #9: cost 0 inf + 67735 13.394 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 13.394 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k))) 13.395 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 13.395 * * [simplify]: iters left: 6 (11 enodes) 13.402 * * [simplify]: iters left: 5 (48 enodes) 13.418 * * [simplify]: iters left: 4 (78 enodes) 13.447 * * [simplify]: iters left: 3 (122 enodes) 13.474 * * [simplify]: iters left: 2 (223 enodes) 13.526 * * [simplify]: iters left: 1 (410 enodes) 13.697 * * [simplify]: Extracting #0: cost 1 inf + 0 13.697 * * [simplify]: Extracting #1: cost 4 inf + 0 13.697 * * [simplify]: Extracting #2: cost 34 inf + 0 13.698 * * [simplify]: Extracting #3: cost 129 inf + 1 13.699 * * [simplify]: Extracting #4: cost 173 inf + 220 13.701 * * [simplify]: Extracting #5: cost 166 inf + 932 13.710 * * [simplify]: Extracting #6: cost 88 inf + 11591 13.725 * * [simplify]: Extracting #7: cost 23 inf + 44560 13.747 * * [simplify]: Extracting #8: cost 0 inf + 67855 13.769 * * [simplify]: Extracting #9: cost 0 inf + 67735 13.785 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 13.785 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))) 13.785 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 13.786 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 13.786 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 13.786 * * [simplify]: iters left: 6 (11 enodes) 13.790 * * [simplify]: iters left: 5 (51 enodes) 13.799 * * [simplify]: iters left: 4 (87 enodes) 13.816 * * [simplify]: iters left: 3 (146 enodes) 13.852 * * [simplify]: iters left: 2 (263 enodes) 13.926 * * [simplify]: iters left: 1 (487 enodes) 14.121 * * [simplify]: Extracting #0: cost 1 inf + 0 14.122 * * [simplify]: Extracting #1: cost 26 inf + 0 14.122 * * [simplify]: Extracting #2: cost 106 inf + 1 14.123 * * [simplify]: Extracting #3: cost 193 inf + 178 14.124 * * [simplify]: Extracting #4: cost 194 inf + 772 14.126 * * [simplify]: Extracting #5: cost 111 inf + 9358 14.139 * * [simplify]: Extracting #6: cost 38 inf + 33372 14.161 * * [simplify]: Extracting #7: cost 1 inf + 64754 14.183 * * [simplify]: Extracting #8: cost 0 inf + 63763 14.211 * * [simplify]: Extracting #9: cost 0 inf + 63592 14.234 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 14.234 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k))) 14.234 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 14.234 * * [simplify]: iters left: 6 (11 enodes) 14.241 * * [simplify]: iters left: 5 (51 enodes) 14.259 * * [simplify]: iters left: 4 (87 enodes) 14.276 * * [simplify]: iters left: 3 (146 enodes) 14.302 * * [simplify]: iters left: 2 (263 enodes) 14.380 * * [simplify]: iters left: 1 (487 enodes) 14.579 * * [simplify]: Extracting #0: cost 1 inf + 0 14.579 * * [simplify]: Extracting #1: cost 26 inf + 0 14.580 * * [simplify]: Extracting #2: cost 106 inf + 1 14.581 * * [simplify]: Extracting #3: cost 193 inf + 178 14.583 * * [simplify]: Extracting #4: cost 194 inf + 772 14.588 * * [simplify]: Extracting #5: cost 111 inf + 9358 14.601 * * [simplify]: Extracting #6: cost 38 inf + 33372 14.623 * * [simplify]: Extracting #7: cost 1 inf + 64754 14.635 * * [simplify]: Extracting #8: cost 0 inf + 63763 14.647 * * [simplify]: Extracting #9: cost 0 inf + 63592 14.666 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 14.666 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (sqrt k))) 14.666 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 14.667 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 14.667 * * [simplify]: iters left: 6 (11 enodes) 14.674 * * [simplify]: iters left: 5 (45 enodes) 14.689 * * [simplify]: iters left: 4 (74 enodes) 14.716 * * [simplify]: iters left: 3 (118 enodes) 14.760 * * [simplify]: iters left: 2 (216 enodes) 14.817 * * [simplify]: iters left: 1 (389 enodes) 14.945 * * [simplify]: Extracting #0: cost 1 inf + 0 14.945 * * [simplify]: Extracting #1: cost 2 inf + 0 14.945 * * [simplify]: Extracting #2: cost 30 inf + 0 14.945 * * [simplify]: Extracting #3: cost 111 inf + 1 14.946 * * [simplify]: Extracting #4: cost 170 inf + 218 14.947 * * [simplify]: Extracting #5: cost 169 inf + 561 14.949 * * [simplify]: Extracting #6: cost 108 inf + 8147 14.954 * * [simplify]: Extracting #7: cost 43 inf + 32044 14.965 * * [simplify]: Extracting #8: cost 3 inf + 66900 14.980 * * [simplify]: Extracting #9: cost 0 inf + 69376 14.999 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 14.999 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (sqrt k))) 14.999 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 14.999 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 14.999 * * [simplify]: iters left: 5 (6 enodes) 15.003 * * [simplify]: iters left: 4 (22 enodes) 15.010 * * [simplify]: iters left: 3 (30 enodes) 15.019 * * [simplify]: iters left: 2 (35 enodes) 15.028 * * [simplify]: Extracting #0: cost 1 inf + 0 15.028 * * [simplify]: Extracting #1: cost 3 inf + 0 15.028 * * [simplify]: Extracting #2: cost 10 inf + 0 15.028 * * [simplify]: Extracting #3: cost 10 inf + 3 15.028 * * [simplify]: Extracting #4: cost 6 inf + 171 15.028 * * [simplify]: Extracting #5: cost 1 inf + 574 15.029 * * [simplify]: Extracting #6: cost 0 inf + 727 15.029 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 15.029 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.029 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 15.030 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 15.030 * * [simplify]: iters left: 5 (6 enodes) 15.033 * * [simplify]: iters left: 4 (22 enodes) 15.040 * * [simplify]: iters left: 3 (30 enodes) 15.049 * * [simplify]: iters left: 2 (35 enodes) 15.054 * * [simplify]: Extracting #0: cost 1 inf + 0 15.054 * * [simplify]: Extracting #1: cost 3 inf + 0 15.055 * * [simplify]: Extracting #2: cost 10 inf + 0 15.055 * * [simplify]: Extracting #3: cost 10 inf + 3 15.055 * * [simplify]: Extracting #4: cost 6 inf + 171 15.055 * * [simplify]: Extracting #5: cost 1 inf + 594 15.055 * * [simplify]: Extracting #6: cost 0 inf + 767 15.055 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 15.055 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.055 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 15.056 * [simplify]: Simplifying (* n (* 2 PI)) 15.056 * * [simplify]: iters left: 4 (5 enodes) 15.057 * * [simplify]: iters left: 3 (19 enodes) 15.060 * * [simplify]: iters left: 2 (27 enodes) 15.064 * * [simplify]: iters left: 1 (32 enodes) 15.068 * * [simplify]: Extracting #0: cost 1 inf + 0 15.068 * * [simplify]: Extracting #1: cost 8 inf + 0 15.068 * * [simplify]: Extracting #2: cost 7 inf + 45 15.069 * * [simplify]: Extracting #3: cost 0 inf + 421 15.069 * [simplify]: Simplified to (* (* PI 2) n) 15.069 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 15.069 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 15.069 * [simplify]: Simplifying (* n (* 2 PI)) 15.069 * * [simplify]: iters left: 4 (5 enodes) 15.070 * * [simplify]: iters left: 3 (19 enodes) 15.073 * * [simplify]: iters left: 2 (27 enodes) 15.077 * * [simplify]: iters left: 1 (32 enodes) 15.084 * * [simplify]: Extracting #0: cost 1 inf + 0 15.084 * * [simplify]: Extracting #1: cost 8 inf + 0 15.084 * * [simplify]: Extracting #2: cost 7 inf + 45 15.084 * * [simplify]: Extracting #3: cost 0 inf + 421 15.085 * [simplify]: Simplified to (* (* PI 2) n) 15.085 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 15.085 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 15.085 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 15.085 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 15.085 * * [simplify]: iters left: 5 (8 enodes) 15.087 * * [simplify]: iters left: 4 (28 enodes) 15.092 * * [simplify]: iters left: 3 (36 enodes) 15.103 * * [simplify]: iters left: 2 (42 enodes) 15.114 * * [simplify]: Extracting #0: cost 1 inf + 0 15.114 * * [simplify]: Extracting #1: cost 8 inf + 0 15.114 * * [simplify]: Extracting #2: cost 17 inf + 0 15.114 * * [simplify]: Extracting #3: cost 12 inf + 145 15.115 * * [simplify]: Extracting #4: cost 5 inf + 1197 15.115 * * [simplify]: Extracting #5: cost 1 inf + 1925 15.116 * * [simplify]: Extracting #6: cost 0 inf + 2107 15.116 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 15.116 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.117 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 15.117 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 15.117 * * [simplify]: iters left: 5 (7 enodes) 15.121 * * [simplify]: iters left: 4 (26 enodes) 15.129 * * [simplify]: iters left: 3 (35 enodes) 15.139 * * [simplify]: iters left: 2 (44 enodes) 15.151 * * [simplify]: Extracting #0: cost 1 inf + 0 15.151 * * [simplify]: Extracting #1: cost 8 inf + 0 15.151 * * [simplify]: Extracting #2: cost 18 inf + 0 15.152 * * [simplify]: Extracting #3: cost 15 inf + 74 15.152 * * [simplify]: Extracting #4: cost 8 inf + 554 15.152 * * [simplify]: Extracting #5: cost 0 inf + 1911 15.153 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 15.153 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.153 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 15.153 * [simplify]: Simplifying (log (* n (* 2 PI))) 15.153 * * [simplify]: iters left: 5 (6 enodes) 15.157 * * [simplify]: iters left: 4 (25 enodes) 15.165 * * [simplify]: iters left: 3 (44 enodes) 15.178 * * [simplify]: iters left: 2 (62 enodes) 15.196 * * [simplify]: iters left: 1 (70 enodes) 15.208 * * [simplify]: Extracting #0: cost 1 inf + 0 15.208 * * [simplify]: Extracting #1: cost 9 inf + 0 15.208 * * [simplify]: Extracting #2: cost 22 inf + 0 15.208 * * [simplify]: Extracting #3: cost 19 inf + 228 15.208 * * [simplify]: Extracting #4: cost 6 inf + 1211 15.209 * * [simplify]: Extracting #5: cost 1 inf + 1713 15.209 * * [simplify]: Extracting #6: cost 0 inf + 1825 15.210 * [simplify]: Simplified to (log (* (* PI 2) n)) 15.210 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 15.210 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 15.210 * [simplify]: Simplifying (exp (* n (* 2 PI))) 15.210 * * [simplify]: iters left: 5 (6 enodes) 15.212 * * [simplify]: iters left: 4 (24 enodes) 15.217 * * [simplify]: iters left: 3 (41 enodes) 15.224 * * [simplify]: iters left: 2 (77 enodes) 15.237 * * [simplify]: iters left: 1 (133 enodes) 15.279 * * [simplify]: Extracting #0: cost 1 inf + 0 15.279 * * [simplify]: Extracting #1: cost 33 inf + 0 15.280 * * [simplify]: Extracting #2: cost 74 inf + 902 15.281 * * [simplify]: Extracting #3: cost 69 inf + 4725 15.284 * * [simplify]: Extracting #4: cost 24 inf + 14472 15.287 * * [simplify]: Extracting #5: cost 2 inf + 20599 15.290 * * [simplify]: Extracting #6: cost 0 inf + 21175 15.292 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 15.292 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2)) (sqrt k))) 15.292 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 15.292 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 15.292 * * [simplify]: iters left: 6 (11 enodes) 15.297 * * [simplify]: iters left: 5 (48 enodes) 15.306 * * [simplify]: iters left: 4 (121 enodes) 15.351 * * [simplify]: iters left: 3 (355 enodes) 15.601 * * [simplify]: Extracting #0: cost 1 inf + 0 15.601 * * [simplify]: Extracting #1: cost 65 inf + 0 15.602 * * [simplify]: Extracting #2: cost 162 inf + 496 15.604 * * [simplify]: Extracting #3: cost 89 inf + 8992 15.610 * * [simplify]: Extracting #4: cost 19 inf + 22730 15.617 * * [simplify]: Extracting #5: cost 0 inf + 27780 15.623 * * [simplify]: Extracting #6: cost 0 inf + 27740 15.636 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 15.636 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (sqrt k))) 15.636 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 15.636 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 15.637 * * [simplify]: iters left: 6 (9 enodes) 15.642 * * [simplify]: iters left: 5 (45 enodes) 15.652 * * [simplify]: iters left: 4 (117 enodes) 15.700 * * [simplify]: iters left: 3 (377 enodes) 16.020 * * [simplify]: Extracting #0: cost 1 inf + 0 16.020 * * [simplify]: Extracting #1: cost 79 inf + 0 16.022 * * [simplify]: Extracting #2: cost 190 inf + 659 16.030 * * [simplify]: Extracting #3: cost 100 inf + 13035 16.048 * * [simplify]: Extracting #4: cost 6 inf + 31482 16.061 * * [simplify]: Extracting #5: cost 0 inf + 32336 16.071 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 16.071 * [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))) 16.071 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 16.071 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 16.071 * * [simplify]: iters left: 6 (7 enodes) 16.073 * * [simplify]: iters left: 5 (25 enodes) 16.077 * * [simplify]: iters left: 4 (33 enodes) 16.082 * * [simplify]: iters left: 3 (39 enodes) 16.088 * * [simplify]: Extracting #0: cost 1 inf + 0 16.088 * * [simplify]: Extracting #1: cost 3 inf + 0 16.088 * * [simplify]: Extracting #2: cost 5 inf + 0 16.088 * * [simplify]: Extracting #3: cost 12 inf + 0 16.088 * * [simplify]: Extracting #4: cost 11 inf + 45 16.088 * * [simplify]: Extracting #5: cost 5 inf + 500 16.088 * * [simplify]: Extracting #6: cost 1 inf + 950 16.088 * * [simplify]: Extracting #7: cost 0 inf + 1153 16.089 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 16.089 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 16.089 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 16.089 * * [simplify]: iters left: 5 (6 enodes) 16.091 * * [simplify]: iters left: 4 (22 enodes) 16.094 * * [simplify]: iters left: 3 (30 enodes) 16.106 * * [simplify]: iters left: 2 (35 enodes) 16.115 * * [simplify]: Extracting #0: cost 1 inf + 0 16.115 * * [simplify]: Extracting #1: cost 3 inf + 0 16.115 * * [simplify]: Extracting #2: cost 10 inf + 0 16.115 * * [simplify]: Extracting #3: cost 10 inf + 3 16.115 * * [simplify]: Extracting #4: cost 6 inf + 171 16.116 * * [simplify]: Extracting #5: cost 1 inf + 584 16.116 * * [simplify]: Extracting #6: cost 0 inf + 747 16.116 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 16.117 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 16.117 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 16.117 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 16.117 * * [simplify]: iters left: 6 (7 enodes) 16.121 * * [simplify]: iters left: 5 (35 enodes) 16.138 * * [simplify]: iters left: 4 (120 enodes) 16.199 * * [simplify]: iters left: 3 (434 enodes) 16.540 * * [simplify]: Extracting #0: cost 1 inf + 0 16.540 * * [simplify]: Extracting #1: cost 70 inf + 0 16.541 * * [simplify]: Extracting #2: cost 180 inf + 783 16.546 * * [simplify]: Extracting #3: cost 74 inf + 15033 16.556 * * [simplify]: Extracting #4: cost 1 inf + 25830 16.565 * * [simplify]: Extracting #5: cost 0 inf + 25831 16.575 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 16.575 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (sqrt k))) 16.575 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 16.575 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 16.575 * * [simplify]: iters left: 5 (6 enodes) 16.579 * * [simplify]: iters left: 4 (22 enodes) 16.589 * * [simplify]: iters left: 3 (30 enodes) 16.593 * * [simplify]: iters left: 2 (35 enodes) 16.598 * * [simplify]: Extracting #0: cost 1 inf + 0 16.598 * * [simplify]: Extracting #1: cost 3 inf + 0 16.598 * * [simplify]: Extracting #2: cost 10 inf + 0 16.598 * * [simplify]: Extracting #3: cost 10 inf + 3 16.598 * * [simplify]: Extracting #4: cost 6 inf + 171 16.598 * * [simplify]: Extracting #5: cost 1 inf + 544 16.599 * * [simplify]: Extracting #6: cost 0 inf + 667 16.599 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 16.599 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 16.599 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 16.599 * * [simplify]: iters left: 5 (6 enodes) 16.601 * * [simplify]: iters left: 4 (22 enodes) 16.605 * * [simplify]: iters left: 3 (30 enodes) 16.609 * * [simplify]: iters left: 2 (35 enodes) 16.614 * * [simplify]: Extracting #0: cost 1 inf + 0 16.614 * * [simplify]: Extracting #1: cost 3 inf + 0 16.614 * * [simplify]: Extracting #2: cost 10 inf + 0 16.614 * * [simplify]: Extracting #3: cost 10 inf + 3 16.614 * * [simplify]: Extracting #4: cost 6 inf + 171 16.614 * * [simplify]: Extracting #5: cost 1 inf + 544 16.615 * * [simplify]: Extracting #6: cost 0 inf + 667 16.615 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 16.615 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 16.615 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 16.615 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 16.615 * [simplify]: Simplifying (* n 2) 16.615 * * [simplify]: iters left: 2 (3 enodes) 16.616 * * [simplify]: iters left: 1 (10 enodes) 16.618 * * [simplify]: Extracting #0: cost 1 inf + 0 16.618 * * [simplify]: Extracting #1: cost 4 inf + 0 16.618 * * [simplify]: Extracting #2: cost 2 inf + 2 16.618 * * [simplify]: Extracting #3: cost 0 inf + 86 16.618 * [simplify]: Simplified to (* n 2) 16.618 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) 16.618 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 16.618 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 16.618 * * [simplify]: iters left: 4 (6 enodes) 16.621 * * [simplify]: iters left: 3 (22 enodes) 16.628 * * [simplify]: iters left: 2 (30 enodes) 16.637 * * [simplify]: iters left: 1 (35 enodes) 16.646 * * [simplify]: Extracting #0: cost 1 inf + 0 16.647 * * [simplify]: Extracting #1: cost 8 inf + 0 16.647 * * [simplify]: Extracting #2: cost 10 inf + 44 16.647 * * [simplify]: Extracting #3: cost 8 inf + 87 16.647 * * [simplify]: Extracting #4: cost 5 inf + 453 16.647 * * [simplify]: Extracting #5: cost 0 inf + 1063 16.647 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 16.647 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 16.647 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 16.648 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 16.648 * * [simplify]: iters left: 4 (6 enodes) 16.650 * * [simplify]: iters left: 3 (22 enodes) 16.653 * * [simplify]: iters left: 2 (30 enodes) 16.657 * * [simplify]: iters left: 1 (35 enodes) 16.662 * * [simplify]: Extracting #0: cost 1 inf + 0 16.662 * * [simplify]: Extracting #1: cost 8 inf + 0 16.662 * * [simplify]: Extracting #2: cost 10 inf + 44 16.662 * * [simplify]: Extracting #3: cost 8 inf + 87 16.662 * * [simplify]: Extracting #4: cost 5 inf + 333 16.663 * * [simplify]: Extracting #5: cost 0 inf + 743 16.663 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 16.663 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 16.663 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 16.663 * [simplify]: Simplifying (* n (* 2 PI)) 16.663 * * [simplify]: iters left: 4 (5 enodes) 16.665 * * [simplify]: iters left: 3 (19 enodes) 16.668 * * [simplify]: iters left: 2 (27 enodes) 16.672 * * [simplify]: iters left: 1 (32 enodes) 16.677 * * [simplify]: Extracting #0: cost 1 inf + 0 16.677 * * [simplify]: Extracting #1: cost 8 inf + 0 16.677 * * [simplify]: Extracting #2: cost 7 inf + 45 16.677 * * [simplify]: Extracting #3: cost 0 inf + 421 16.678 * [simplify]: Simplified to (* (* PI 2) n) 16.678 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (sqrt k))) 16.678 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 16.678 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 16.678 * * [simplify]: iters left: 5 (6 enodes) 16.683 * * [simplify]: iters left: 4 (19 enodes) 16.689 * * [simplify]: iters left: 3 (27 enodes) 16.697 * * [simplify]: iters left: 2 (32 enodes) 16.706 * * [simplify]: Extracting #0: cost 1 inf + 0 16.706 * * [simplify]: Extracting #1: cost 2 inf + 0 16.706 * * [simplify]: Extracting #2: cost 8 inf + 0 16.706 * * [simplify]: Extracting #3: cost 7 inf + 45 16.706 * * [simplify]: Extracting #4: cost 1 inf + 379 16.706 * * [simplify]: Extracting #5: cost 0 inf + 421 16.707 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 16.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (sqrt k))) 16.707 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 16.707 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 16.707 * [simplify]: Simplifying (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 16.708 * * [simplify]: iters left: 6 (13 enodes) 16.713 * * [simplify]: iters left: 5 (54 enodes) 16.723 * * [simplify]: iters left: 4 (89 enodes) 16.738 * * [simplify]: iters left: 3 (138 enodes) 16.780 * * [simplify]: iters left: 2 (235 enodes) 16.860 * * [simplify]: iters left: 1 (482 enodes) 17.073 * * [simplify]: Extracting #0: cost 1 inf + 0 17.073 * * [simplify]: Extracting #1: cost 3 inf + 0 17.073 * * [simplify]: Extracting #2: cost 49 inf + 0 17.074 * * [simplify]: Extracting #3: cost 152 inf + 0 17.080 * * [simplify]: Extracting #4: cost 234 inf + 4 17.084 * * [simplify]: Extracting #5: cost 221 inf + 6368 17.102 * * [simplify]: Extracting #6: cost 82 inf + 71852 17.141 * * [simplify]: Extracting #7: cost 2 inf + 129242 17.179 * * [simplify]: Extracting #8: cost 0 inf + 128084 17.199 * [simplify]: Simplified to (expm1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 17.199 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 17.199 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 17.199 * [simplify]: Simplifying (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 17.199 * * [simplify]: iters left: 6 (13 enodes) 17.203 * * [simplify]: iters left: 5 (54 enodes) 17.215 * * [simplify]: iters left: 4 (89 enodes) 17.244 * * [simplify]: iters left: 3 (138 enodes) 17.268 * * [simplify]: iters left: 2 (235 enodes) 17.336 * * [simplify]: iters left: 1 (482 enodes) 17.530 * * [simplify]: Extracting #0: cost 1 inf + 0 17.530 * * [simplify]: Extracting #1: cost 3 inf + 0 17.530 * * [simplify]: Extracting #2: cost 49 inf + 0 17.531 * * [simplify]: Extracting #3: cost 152 inf + 0 17.532 * * [simplify]: Extracting #4: cost 234 inf + 4 17.533 * * [simplify]: Extracting #5: cost 221 inf + 6368 17.542 * * [simplify]: Extracting #6: cost 82 inf + 71872 17.579 * * [simplify]: Extracting #7: cost 2 inf + 129282 17.616 * * [simplify]: Extracting #8: cost 0 inf + 128124 17.654 * [simplify]: Simplified to (log1p (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 17.654 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 17.655 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 17.655 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 17.655 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 17.655 * * [simplify]: iters left: 6 (16 enodes) 17.664 * * [simplify]: iters left: 5 (66 enodes) 17.686 * * [simplify]: iters left: 4 (113 enodes) 17.738 * * [simplify]: iters left: 3 (308 enodes) 17.857 * * [simplify]: Extracting #0: cost 1 inf + 0 17.857 * * [simplify]: Extracting #1: cost 34 inf + 0 17.858 * * [simplify]: Extracting #2: cost 116 inf + 0 17.859 * * [simplify]: Extracting #3: cost 164 inf + 441 17.864 * * [simplify]: Extracting #4: cost 131 inf + 10963 17.879 * * [simplify]: Extracting #5: cost 27 inf + 39305 17.899 * * [simplify]: Extracting #6: cost 0 inf + 50889 17.923 * * [simplify]: Extracting #7: cost 0 inf + 50887 17.934 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 17.934 * [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))))) 17.934 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 17.934 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 17.934 * * [simplify]: iters left: 6 (15 enodes) 17.939 * * [simplify]: iters left: 5 (64 enodes) 17.949 * * [simplify]: iters left: 4 (106 enodes) 17.971 * * [simplify]: iters left: 3 (249 enodes) 18.070 * * [simplify]: Extracting #0: cost 1 inf + 0 18.070 * * [simplify]: Extracting #1: cost 29 inf + 0 18.070 * * [simplify]: Extracting #2: cost 111 inf + 0 18.071 * * [simplify]: Extracting #3: cost 150 inf + 342 18.072 * * [simplify]: Extracting #4: cost 136 inf + 6102 18.076 * * [simplify]: Extracting #5: cost 59 inf + 24622 18.083 * * [simplify]: Extracting #6: cost 7 inf + 38491 18.095 * * [simplify]: Extracting #7: cost 0 inf + 41230 18.103 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 18.104 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 18.104 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 18.104 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 18.104 * * [simplify]: iters left: 6 (14 enodes) 18.108 * * [simplify]: iters left: 5 (63 enodes) 18.119 * * [simplify]: iters left: 4 (113 enodes) 18.144 * * [simplify]: iters left: 3 (231 enodes) 18.239 * * [simplify]: Extracting #0: cost 1 inf + 0 18.239 * * [simplify]: Extracting #1: cost 23 inf + 0 18.239 * * [simplify]: Extracting #2: cost 108 inf + 0 18.240 * * [simplify]: Extracting #3: cost 143 inf + 620 18.241 * * [simplify]: Extracting #4: cost 134 inf + 4883 18.245 * * [simplify]: Extracting #5: cost 41 inf + 23887 18.253 * * [simplify]: Extracting #6: cost 1 inf + 35360 18.266 * * [simplify]: Extracting #7: cost 0 inf + 35518 18.280 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 18.280 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 18.280 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 18.280 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 18.280 * * [simplify]: iters left: 6 (14 enodes) 18.293 * * [simplify]: iters left: 5 (63 enodes) 18.314 * * [simplify]: iters left: 4 (113 enodes) 18.353 * * [simplify]: iters left: 3 (231 enodes) 18.435 * * [simplify]: Extracting #0: cost 1 inf + 0 18.435 * * [simplify]: Extracting #1: cost 23 inf + 0 18.435 * * [simplify]: Extracting #2: cost 108 inf + 0 18.436 * * [simplify]: Extracting #3: cost 143 inf + 620 18.437 * * [simplify]: Extracting #4: cost 134 inf + 4883 18.441 * * [simplify]: Extracting #5: cost 41 inf + 23887 18.448 * * [simplify]: Extracting #6: cost 1 inf + 35360 18.456 * * [simplify]: Extracting #7: cost 0 inf + 35518 18.464 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 18.464 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 18.465 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 18.465 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 18.465 * * [simplify]: iters left: 6 (14 enodes) 18.473 * * [simplify]: iters left: 5 (61 enodes) 18.494 * * [simplify]: iters left: 4 (112 enodes) 18.537 * * [simplify]: iters left: 3 (221 enodes) 18.597 * * [simplify]: Extracting #0: cost 1 inf + 0 18.597 * * [simplify]: Extracting #1: cost 24 inf + 0 18.597 * * [simplify]: Extracting #2: cost 131 inf + 0 18.598 * * [simplify]: Extracting #3: cost 196 inf + 75 18.599 * * [simplify]: Extracting #4: cost 143 inf + 9880 18.607 * * [simplify]: Extracting #5: cost 32 inf + 33856 18.615 * * [simplify]: Extracting #6: cost 1 inf + 43961 18.629 * * [simplify]: Extracting #7: cost 0 inf + 44417 18.644 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 18.645 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 18.645 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 18.645 * [simplify]: Simplifying (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 18.645 * * [simplify]: iters left: 6 (13 enodes) 18.650 * * [simplify]: iters left: 5 (57 enodes) 18.661 * * [simplify]: iters left: 4 (102 enodes) 18.679 * * [simplify]: iters left: 3 (185 enodes) 18.733 * * [simplify]: iters left: 2 (456 enodes) 18.990 * * [simplify]: Extracting #0: cost 1 inf + 0 18.990 * * [simplify]: Extracting #1: cost 119 inf + 0 18.991 * * [simplify]: Extracting #2: cost 527 inf + 1 18.994 * * [simplify]: Extracting #3: cost 628 inf + 79 18.998 * * [simplify]: Extracting #4: cost 535 inf + 22474 19.019 * * [simplify]: Extracting #5: cost 118 inf + 145655 19.056 * * [simplify]: Extracting #6: cost 6 inf + 193012 19.118 * * [simplify]: Extracting #7: cost 0 inf + 193654 19.163 * * [simplify]: Extracting #8: cost 0 inf + 193159 19.210 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 19.210 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 19.210 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 19.210 * [simplify]: Simplifying (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 19.210 * * [simplify]: iters left: 6 (13 enodes) 19.214 * * [simplify]: iters left: 5 (54 enodes) 19.224 * * [simplify]: iters left: 4 (89 enodes) 19.244 * * [simplify]: iters left: 3 (138 enodes) 19.272 * * [simplify]: iters left: 2 (237 enodes) 19.334 * * [simplify]: iters left: 1 (481 enodes) 19.564 * * [simplify]: Extracting #0: cost 1 inf + 0 19.565 * * [simplify]: Extracting #1: cost 21 inf + 0 19.565 * * [simplify]: Extracting #2: cost 109 inf + 0 19.566 * * [simplify]: Extracting #3: cost 224 inf + 3 19.568 * * [simplify]: Extracting #4: cost 245 inf + 1463 19.572 * * [simplify]: Extracting #5: cost 176 inf + 21353 19.586 * * [simplify]: Extracting #6: cost 41 inf + 116549 19.609 * * [simplify]: Extracting #7: cost 0 inf + 149374 19.633 * * [simplify]: Extracting #8: cost 0 inf + 148866 19.657 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 19.657 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 19.657 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 19.658 * [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))) 19.658 * * [simplify]: iters left: 6 (16 enodes) 19.667 * * [simplify]: iters left: 5 (72 enodes) 19.693 * * [simplify]: iters left: 4 (165 enodes) 19.768 * * [simplify]: iters left: 3 (476 enodes) 20.449 * * [simplify]: Extracting #0: cost 1 inf + 0 20.450 * * [simplify]: Extracting #1: cost 166 inf + 0 20.453 * * [simplify]: Extracting #2: cost 437 inf + 1 20.456 * * [simplify]: Extracting #3: cost 488 inf + 248 20.461 * * [simplify]: Extracting #4: cost 467 inf + 4326 20.484 * * [simplify]: Extracting #5: cost 272 inf + 110976 20.540 * * [simplify]: Extracting #6: cost 21 inf + 298405 20.604 * * [simplify]: Extracting #7: cost 0 inf + 316403 20.671 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (sqrt k) k)) 20.671 * [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)))) (* (sqrt k) k)))) 20.671 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 20.672 * [simplify]: Simplifying (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.672 * * [simplify]: iters left: 6 (14 enodes) 20.680 * * [simplify]: iters left: 5 (57 enodes) 20.699 * * [simplify]: iters left: 4 (92 enodes) 20.728 * * [simplify]: iters left: 3 (137 enodes) 20.773 * * [simplify]: iters left: 2 (233 enodes) 20.832 * * [simplify]: iters left: 1 (473 enodes) 21.030 * * [simplify]: Extracting #0: cost 1 inf + 0 21.030 * * [simplify]: Extracting #1: cost 3 inf + 0 21.030 * * [simplify]: Extracting #2: cost 5 inf + 0 21.031 * * [simplify]: Extracting #3: cost 52 inf + 0 21.031 * * [simplify]: Extracting #4: cost 156 inf + 0 21.033 * * [simplify]: Extracting #5: cost 221 inf + 4 21.036 * * [simplify]: Extracting #6: cost 199 inf + 6878 21.044 * * [simplify]: Extracting #7: cost 143 inf + 20447 21.073 * * [simplify]: Extracting #8: cost 42 inf + 92526 21.094 * * [simplify]: Extracting #9: cost 0 inf + 131281 21.113 * * [simplify]: Extracting #10: cost 0 inf + 130669 21.147 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.147 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 21.148 * [simplify]: Simplifying (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 21.148 * * [simplify]: iters left: 6 (13 enodes) 21.156 * * [simplify]: iters left: 5 (54 enodes) 21.174 * * [simplify]: iters left: 4 (89 enodes) 21.206 * * [simplify]: iters left: 3 (138 enodes) 21.253 * * [simplify]: iters left: 2 (235 enodes) 21.346 * * [simplify]: iters left: 1 (482 enodes) 21.533 * * [simplify]: Extracting #0: cost 1 inf + 0 21.533 * * [simplify]: Extracting #1: cost 3 inf + 0 21.533 * * [simplify]: Extracting #2: cost 49 inf + 0 21.533 * * [simplify]: Extracting #3: cost 152 inf + 0 21.534 * * [simplify]: Extracting #4: cost 234 inf + 4 21.536 * * [simplify]: Extracting #5: cost 221 inf + 6368 21.545 * * [simplify]: Extracting #6: cost 82 inf + 71862 21.587 * * [simplify]: Extracting #7: cost 2 inf + 129262 21.625 * * [simplify]: Extracting #8: cost 0 inf + 128104 21.653 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 21.653 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 21.653 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 21.653 * [simplify]: Simplifying (* (* (/ (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)) (sqrt k))) 21.653 * * [simplify]: iters left: 6 (14 enodes) 21.658 * * [simplify]: iters left: 5 (64 enodes) 21.676 * * [simplify]: iters left: 4 (132 enodes) 21.709 * * [simplify]: iters left: 3 (278 enodes) 21.846 * * [simplify]: Extracting #0: cost 1 inf + 0 21.846 * * [simplify]: Extracting #1: cost 67 inf + 0 21.848 * * [simplify]: Extracting #2: cost 190 inf + 2 21.849 * * [simplify]: Extracting #3: cost 237 inf + 337 21.853 * * [simplify]: Extracting #4: cost 206 inf + 12933 21.870 * * [simplify]: Extracting #5: cost 105 inf + 60341 21.891 * * [simplify]: Extracting #6: cost 17 inf + 130805 21.921 * * [simplify]: Extracting #7: cost 0 inf + 145347 21.946 * * [simplify]: Extracting #8: cost 0 inf + 145308 21.966 * [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))))) 21.966 * [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))))))) 21.966 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 21.966 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 21.967 * * [simplify]: iters left: 6 (13 enodes) 21.970 * * [simplify]: iters left: 5 (54 enodes) 21.980 * * [simplify]: iters left: 4 (89 enodes) 22.005 * * [simplify]: iters left: 3 (138 enodes) 22.041 * * [simplify]: iters left: 2 (235 enodes) 22.099 * * [simplify]: iters left: 1 (482 enodes) 22.306 * * [simplify]: Extracting #0: cost 1 inf + 0 22.306 * * [simplify]: Extracting #1: cost 3 inf + 0 22.307 * * [simplify]: Extracting #2: cost 49 inf + 0 22.308 * * [simplify]: Extracting #3: cost 152 inf + 0 22.309 * * [simplify]: Extracting #4: cost 234 inf + 4 22.312 * * [simplify]: Extracting #5: cost 221 inf + 6368 22.330 * * [simplify]: Extracting #6: cost 82 inf + 71822 22.369 * * [simplify]: Extracting #7: cost 2 inf + 129182 22.411 * * [simplify]: Extracting #8: cost 0 inf + 128024 22.449 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 22.449 * [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)) (sqrt k))))) 22.450 * [simplify]: Simplifying (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 22.450 * * [simplify]: iters left: 6 (13 enodes) 22.457 * * [simplify]: iters left: 5 (54 enodes) 22.476 * * [simplify]: iters left: 4 (89 enodes) 22.506 * * [simplify]: iters left: 3 (138 enodes) 22.553 * * [simplify]: iters left: 2 (235 enodes) 22.605 * * [simplify]: iters left: 1 (482 enodes) 22.838 * * [simplify]: Extracting #0: cost 1 inf + 0 22.838 * * [simplify]: Extracting #1: cost 3 inf + 0 22.838 * * [simplify]: Extracting #2: cost 49 inf + 0 22.839 * * [simplify]: Extracting #3: cost 152 inf + 0 22.841 * * [simplify]: Extracting #4: cost 234 inf + 4 22.843 * * [simplify]: Extracting #5: cost 221 inf + 6368 22.853 * * [simplify]: Extracting #6: cost 82 inf + 71822 22.872 * * [simplify]: Extracting #7: cost 2 inf + 129182 22.894 * * [simplify]: Extracting #8: cost 0 inf + 128024 22.916 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 22.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 22.916 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 22.916 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 22.916 * * [simplify]: iters left: 6 (11 enodes) 22.923 * * [simplify]: iters left: 5 (48 enodes) 22.941 * * [simplify]: iters left: 4 (80 enodes) 22.967 * * [simplify]: iters left: 3 (132 enodes) 23.017 * * [simplify]: iters left: 2 (259 enodes) 23.119 * * [simplify]: Extracting #0: cost 1 inf + 0 23.119 * * [simplify]: Extracting #1: cost 23 inf + 0 23.120 * * [simplify]: Extracting #2: cost 81 inf + 0 23.120 * * [simplify]: Extracting #3: cost 128 inf + 2 23.121 * * [simplify]: Extracting #4: cost 134 inf + 221 23.123 * * [simplify]: Extracting #5: cost 128 inf + 1264 23.126 * * [simplify]: Extracting #6: cost 76 inf + 8606 23.133 * * [simplify]: Extracting #7: cost 45 inf + 20059 23.146 * * [simplify]: Extracting #8: cost 2 inf + 52126 23.162 * * [simplify]: Extracting #9: cost 0 inf + 53750 23.177 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 23.177 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) (- (sqrt k)))) 23.178 * [simplify]: Simplifying (- (sqrt k)) 23.178 * * [simplify]: iters left: 3 (3 enodes) 23.179 * * [simplify]: iters left: 2 (9 enodes) 23.182 * * [simplify]: Extracting #0: cost 1 inf + 0 23.182 * * [simplify]: Extracting #1: cost 3 inf + 0 23.182 * * [simplify]: Extracting #2: cost 5 inf + 0 23.182 * * [simplify]: Extracting #3: cost 4 inf + 1 23.182 * * [simplify]: Extracting #4: cost 0 inf + 245 23.182 * [simplify]: Simplified to (- (sqrt k)) 23.182 * [simplify]: Simplified (2 2) to (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k)))) 23.182 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 23.183 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.183 * * [simplify]: iters left: 6 (11 enodes) 23.189 * * [simplify]: iters left: 5 (46 enodes) 23.201 * * [simplify]: iters left: 4 (79 enodes) 23.218 * * [simplify]: iters left: 3 (137 enodes) 23.252 * * [simplify]: iters left: 2 (284 enodes) 23.363 * * [simplify]: Extracting #0: cost 1 inf + 0 23.363 * * [simplify]: Extracting #1: cost 54 inf + 0 23.364 * * [simplify]: Extracting #2: cost 150 inf + 0 23.364 * * [simplify]: Extracting #3: cost 213 inf + 3 23.366 * * [simplify]: Extracting #4: cost 209 inf + 1092 23.368 * * [simplify]: Extracting #5: cost 144 inf + 17726 23.377 * * [simplify]: Extracting #6: cost 33 inf + 84596 23.390 * * [simplify]: Extracting #7: cost 3 inf + 106931 23.417 * * [simplify]: Extracting #8: cost 0 inf + 108470 23.448 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 23.448 * [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))))) 23.448 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 23.449 * * [simplify]: iters left: 6 (11 enodes) 23.455 * * [simplify]: iters left: 5 (45 enodes) 23.462 * * [simplify]: iters left: 4 (68 enodes) 23.474 * * [simplify]: iters left: 3 (112 enodes) 23.497 * * [simplify]: iters left: 2 (229 enodes) 23.547 * * [simplify]: iters left: 1 (485 enodes) 23.751 * * [simplify]: Extracting #0: cost 1 inf + 0 23.751 * * [simplify]: Extracting #1: cost 52 inf + 0 23.752 * * [simplify]: Extracting #2: cost 166 inf + 0 23.754 * * [simplify]: Extracting #3: cost 257 inf + 3 23.756 * * [simplify]: Extracting #4: cost 262 inf + 847 23.763 * * [simplify]: Extracting #5: cost 178 inf + 17127 23.793 * * [simplify]: Extracting #6: cost 53 inf + 97439 23.830 * * [simplify]: Extracting #7: cost 0 inf + 142610 23.868 * * [simplify]: Extracting #8: cost 0 inf + 140877 23.906 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 23.906 * [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))))) 23.906 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 23.906 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 23.906 * * [simplify]: iters left: 6 (11 enodes) 23.910 * * [simplify]: iters left: 5 (45 enodes) 23.918 * * [simplify]: iters left: 4 (72 enodes) 23.931 * * [simplify]: iters left: 3 (115 enodes) 23.961 * * [simplify]: iters left: 2 (216 enodes) 24.003 * * [simplify]: iters left: 1 (460 enodes) 24.306 * * [simplify]: Extracting #0: cost 1 inf + 0 24.306 * * [simplify]: Extracting #1: cost 43 inf + 0 24.307 * * [simplify]: Extracting #2: cost 142 inf + 0 24.309 * * [simplify]: Extracting #3: cost 219 inf + 4 24.312 * * [simplify]: Extracting #4: cost 209 inf + 3703 24.322 * * [simplify]: Extracting #5: cost 113 inf + 40097 24.336 * * [simplify]: Extracting #6: cost 10 inf + 112058 24.358 * * [simplify]: Extracting #7: cost 0 inf + 115681 24.386 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 24.386 * [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))))) 24.387 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 24.387 * * [simplify]: iters left: 6 (11 enodes) 24.393 * * [simplify]: iters left: 5 (45 enodes) 24.408 * * [simplify]: iters left: 4 (68 enodes) 24.420 * * [simplify]: iters left: 3 (112 enodes) 24.450 * * [simplify]: iters left: 2 (229 enodes) 24.522 * * [simplify]: iters left: 1 (485 enodes) 24.715 * * [simplify]: Extracting #0: cost 1 inf + 0 24.715 * * [simplify]: Extracting #1: cost 52 inf + 0 24.716 * * [simplify]: Extracting #2: cost 166 inf + 0 24.718 * * [simplify]: Extracting #3: cost 257 inf + 3 24.720 * * [simplify]: Extracting #4: cost 262 inf + 887 24.732 * * [simplify]: Extracting #5: cost 178 inf + 17207 24.757 * * [simplify]: Extracting #6: cost 53 inf + 97519 24.778 * * [simplify]: Extracting #7: cost 0 inf + 142690 24.803 * * [simplify]: Extracting #8: cost 0 inf + 140957 24.841 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 24.842 * [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))))) 24.842 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 24.842 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 24.842 * * [simplify]: iters left: 6 (10 enodes) 24.848 * * [simplify]: iters left: 5 (41 enodes) 24.865 * * [simplify]: iters left: 4 (68 enodes) 24.888 * * [simplify]: iters left: 3 (111 enodes) 24.916 * * [simplify]: iters left: 2 (208 enodes) 24.970 * * [simplify]: iters left: 1 (454 enodes) 25.165 * * [simplify]: Extracting #0: cost 1 inf + 0 25.165 * * [simplify]: Extracting #1: cost 44 inf + 0 25.165 * * [simplify]: Extracting #2: cost 149 inf + 0 25.166 * * [simplify]: Extracting #3: cost 228 inf + 4 25.168 * * [simplify]: Extracting #4: cost 220 inf + 2244 25.171 * * [simplify]: Extracting #5: cost 153 inf + 15264 25.179 * * [simplify]: Extracting #6: cost 59 inf + 72932 25.205 * * [simplify]: Extracting #7: cost 2 inf + 121764 25.236 * * [simplify]: Extracting #8: cost 0 inf + 122558 25.271 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.271 * [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))))) 25.271 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 25.271 * * [simplify]: iters left: 6 (11 enodes) 25.278 * * [simplify]: iters left: 5 (45 enodes) 25.293 * * [simplify]: iters left: 4 (68 enodes) 25.316 * * [simplify]: iters left: 3 (112 enodes) 25.360 * * [simplify]: iters left: 2 (229 enodes) 25.411 * * [simplify]: iters left: 1 (485 enodes) 25.608 * * [simplify]: Extracting #0: cost 1 inf + 0 25.608 * * [simplify]: Extracting #1: cost 52 inf + 0 25.609 * * [simplify]: Extracting #2: cost 166 inf + 0 25.610 * * [simplify]: Extracting #3: cost 257 inf + 3 25.611 * * [simplify]: Extracting #4: cost 262 inf + 847 25.614 * * [simplify]: Extracting #5: cost 178 inf + 16887 25.630 * * [simplify]: Extracting #6: cost 53 inf + 95119 25.658 * * [simplify]: Extracting #7: cost 0 inf + 139090 25.677 * * [simplify]: Extracting #8: cost 0 inf + 137357 25.707 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 25.707 * [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))))) 25.707 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 25.707 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 25.707 * * [simplify]: iters left: 6 (9 enodes) 25.711 * * [simplify]: iters left: 5 (38 enodes) 25.718 * * [simplify]: iters left: 4 (63 enodes) 25.731 * * [simplify]: iters left: 3 (104 enodes) 25.763 * * [simplify]: iters left: 2 (197 enodes) 25.804 * * [simplify]: iters left: 1 (427 enodes) 26.054 * * [simplify]: Extracting #0: cost 1 inf + 0 26.054 * * [simplify]: Extracting #1: cost 56 inf + 0 26.055 * * [simplify]: Extracting #2: cost 158 inf + 3 26.057 * * [simplify]: Extracting #3: cost 210 inf + 8 26.060 * * [simplify]: Extracting #4: cost 190 inf + 2631 26.066 * * [simplify]: Extracting #5: cost 114 inf + 15999 26.083 * * [simplify]: Extracting #6: cost 28 inf + 73525 26.111 * * [simplify]: Extracting #7: cost 0 inf + 94440 26.143 * * [simplify]: Extracting #8: cost 0 inf + 93474 26.171 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 26.171 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 26.172 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 26.172 * * [simplify]: iters left: 6 (10 enodes) 26.178 * * [simplify]: iters left: 5 (42 enodes) 26.192 * * [simplify]: iters left: 4 (65 enodes) 26.203 * * [simplify]: iters left: 3 (106 enodes) 26.233 * * [simplify]: iters left: 2 (218 enodes) 26.284 * * [simplify]: iters left: 1 (465 enodes) 26.479 * * [simplify]: Extracting #0: cost 1 inf + 0 26.479 * * [simplify]: Extracting #1: cost 53 inf + 0 26.479 * * [simplify]: Extracting #2: cost 157 inf + 0 26.480 * * [simplify]: Extracting #3: cost 237 inf + 45 26.481 * * [simplify]: Extracting #4: cost 237 inf + 848 26.485 * * [simplify]: Extracting #5: cost 171 inf + 12621 26.495 * * [simplify]: Extracting #6: cost 84 inf + 58909 26.520 * * [simplify]: Extracting #7: cost 4 inf + 125670 26.541 * * [simplify]: Extracting #8: cost 0 inf + 129963 26.561 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 26.561 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 26.561 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 26.562 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 26.562 * * [simplify]: iters left: 6 (10 enodes) 26.566 * * [simplify]: iters left: 5 (41 enodes) 26.573 * * [simplify]: iters left: 4 (68 enodes) 26.585 * * [simplify]: iters left: 3 (111 enodes) 26.612 * * [simplify]: iters left: 2 (208 enodes) 26.666 * * [simplify]: iters left: 1 (454 enodes) 26.918 * * [simplify]: Extracting #0: cost 1 inf + 0 26.918 * * [simplify]: Extracting #1: cost 44 inf + 0 26.918 * * [simplify]: Extracting #2: cost 149 inf + 0 26.919 * * [simplify]: Extracting #3: cost 228 inf + 4 26.921 * * [simplify]: Extracting #4: cost 220 inf + 2244 26.924 * * [simplify]: Extracting #5: cost 153 inf + 15264 26.932 * * [simplify]: Extracting #6: cost 59 inf + 72932 26.947 * * [simplify]: Extracting #7: cost 2 inf + 121764 26.979 * * [simplify]: Extracting #8: cost 0 inf + 122558 27.008 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 27.008 * [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))))) 27.009 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 27.009 * * [simplify]: iters left: 6 (11 enodes) 27.015 * * [simplify]: iters left: 5 (45 enodes) 27.034 * * [simplify]: iters left: 4 (68 enodes) 27.056 * * [simplify]: iters left: 3 (112 enodes) 27.087 * * [simplify]: iters left: 2 (229 enodes) 27.161 * * [simplify]: iters left: 1 (485 enodes) 27.354 * * [simplify]: Extracting #0: cost 1 inf + 0 27.354 * * [simplify]: Extracting #1: cost 52 inf + 0 27.355 * * [simplify]: Extracting #2: cost 166 inf + 0 27.356 * * [simplify]: Extracting #3: cost 257 inf + 3 27.357 * * [simplify]: Extracting #4: cost 262 inf + 847 27.360 * * [simplify]: Extracting #5: cost 178 inf + 16887 27.379 * * [simplify]: Extracting #6: cost 53 inf + 95119 27.421 * * [simplify]: Extracting #7: cost 0 inf + 139090 27.459 * * [simplify]: Extracting #8: cost 0 inf + 137357 27.492 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 27.492 * [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))))) 27.492 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 27.492 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 27.492 * * [simplify]: iters left: 6 (8 enodes) 27.495 * * [simplify]: iters left: 5 (33 enodes) 27.501 * * [simplify]: iters left: 4 (56 enodes) 27.512 * * [simplify]: iters left: 3 (104 enodes) 27.549 * * [simplify]: iters left: 2 (223 enodes) 27.642 * * [simplify]: Extracting #0: cost 1 inf + 0 27.642 * * [simplify]: Extracting #1: cost 32 inf + 0 27.643 * * [simplify]: Extracting #2: cost 99 inf + 3 27.644 * * [simplify]: Extracting #3: cost 137 inf + 7 27.645 * * [simplify]: Extracting #4: cost 131 inf + 1182 27.649 * * [simplify]: Extracting #5: cost 59 inf + 19322 27.662 * * [simplify]: Extracting #6: cost 1 inf + 50036 27.678 * * [simplify]: Extracting #7: cost 0 inf + 50040 27.691 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 27.691 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 27.691 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 27.692 * * [simplify]: iters left: 6 (10 enodes) 27.698 * * [simplify]: iters left: 5 (42 enodes) 27.713 * * [simplify]: iters left: 4 (65 enodes) 27.734 * * [simplify]: iters left: 3 (106 enodes) 27.772 * * [simplify]: iters left: 2 (218 enodes) 27.818 * * [simplify]: iters left: 1 (465 enodes) 28.043 * * [simplify]: Extracting #0: cost 1 inf + 0 28.043 * * [simplify]: Extracting #1: cost 53 inf + 0 28.044 * * [simplify]: Extracting #2: cost 157 inf + 0 28.045 * * [simplify]: Extracting #3: cost 237 inf + 45 28.048 * * [simplify]: Extracting #4: cost 237 inf + 848 28.054 * * [simplify]: Extracting #5: cost 171 inf + 12621 28.069 * * [simplify]: Extracting #6: cost 84 inf + 58909 28.104 * * [simplify]: Extracting #7: cost 4 inf + 125670 28.127 * * [simplify]: Extracting #8: cost 0 inf + 129963 28.158 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 28.158 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 28.158 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 28.158 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 28.158 * * [simplify]: iters left: 6 (16 enodes) 28.168 * * [simplify]: iters left: 5 (69 enodes) 28.191 * * [simplify]: iters left: 4 (117 enodes) 28.212 * * [simplify]: iters left: 3 (166 enodes) 28.245 * * [simplify]: iters left: 2 (250 enodes) 28.308 * * [simplify]: iters left: 1 (419 enodes) 28.484 * * [simplify]: Extracting #0: cost 1 inf + 0 28.484 * * [simplify]: Extracting #1: cost 11 inf + 0 28.484 * * [simplify]: Extracting #2: cost 22 inf + 0 28.484 * * [simplify]: Extracting #3: cost 51 inf + 0 28.485 * * [simplify]: Extracting #4: cost 126 inf + 2 28.487 * * [simplify]: Extracting #5: cost 159 inf + 1869 28.492 * * [simplify]: Extracting #6: cost 105 inf + 12339 28.507 * * [simplify]: Extracting #7: cost 23 inf + 52058 28.523 * * [simplify]: Extracting #8: cost 0 inf + 72442 28.534 * [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)))) 28.534 * [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))))) 28.534 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 28.534 * * [simplify]: iters left: 6 (14 enodes) 28.538 * * [simplify]: iters left: 5 (57 enodes) 28.557 * * [simplify]: iters left: 4 (90 enodes) 28.586 * * [simplify]: iters left: 3 (129 enodes) 28.629 * * [simplify]: iters left: 2 (209 enodes) 28.685 * * [simplify]: iters left: 1 (388 enodes) 28.839 * * [simplify]: Extracting #0: cost 1 inf + 0 28.839 * * [simplify]: Extracting #1: cost 4 inf + 0 28.839 * * [simplify]: Extracting #2: cost 8 inf + 0 28.839 * * [simplify]: Extracting #3: cost 37 inf + 0 28.840 * * [simplify]: Extracting #4: cost 113 inf + 164 28.841 * * [simplify]: Extracting #5: cost 155 inf + 751 28.845 * * [simplify]: Extracting #6: cost 107 inf + 7460 28.855 * * [simplify]: Extracting #7: cost 50 inf + 28893 28.871 * * [simplify]: Extracting #8: cost 23 inf + 50125 28.888 * * [simplify]: Extracting #9: cost 0 inf + 70860 28.898 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 28.898 * [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))))) 28.898 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 28.899 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 28.899 * * [simplify]: iters left: 6 (16 enodes) 28.903 * * [simplify]: iters left: 5 (66 enodes) 28.914 * * [simplify]: iters left: 4 (103 enodes) 28.947 * * [simplify]: iters left: 3 (144 enodes) 28.994 * * [simplify]: iters left: 2 (224 enodes) 29.048 * * [simplify]: iters left: 1 (400 enodes) 29.221 * * [simplify]: Extracting #0: cost 1 inf + 0 29.221 * * [simplify]: Extracting #1: cost 7 inf + 0 29.221 * * [simplify]: Extracting #2: cost 15 inf + 0 29.221 * * [simplify]: Extracting #3: cost 45 inf + 0 29.222 * * [simplify]: Extracting #4: cost 117 inf + 83 29.223 * * [simplify]: Extracting #5: cost 156 inf + 869 29.227 * * [simplify]: Extracting #6: cost 116 inf + 5823 29.234 * * [simplify]: Extracting #7: cost 60 inf + 20881 29.247 * * [simplify]: Extracting #8: cost 13 inf + 54887 29.258 * * [simplify]: Extracting #9: cost 0 inf + 66641 29.271 * * [simplify]: Extracting #10: cost 0 inf + 66231 29.281 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 29.281 * [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))))) 29.281 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 29.282 * * [simplify]: iters left: 6 (14 enodes) 29.286 * * [simplify]: iters left: 5 (57 enodes) 29.296 * * [simplify]: iters left: 4 (90 enodes) 29.324 * * [simplify]: iters left: 3 (129 enodes) 29.361 * * [simplify]: iters left: 2 (209 enodes) 29.419 * * [simplify]: iters left: 1 (388 enodes) 29.626 * * [simplify]: Extracting #0: cost 1 inf + 0 29.626 * * [simplify]: Extracting #1: cost 4 inf + 0 29.626 * * [simplify]: Extracting #2: cost 8 inf + 0 29.626 * * [simplify]: Extracting #3: cost 37 inf + 0 29.626 * * [simplify]: Extracting #4: cost 113 inf + 204 29.627 * * [simplify]: Extracting #5: cost 155 inf + 831 29.629 * * [simplify]: Extracting #6: cost 107 inf + 7540 29.635 * * [simplify]: Extracting #7: cost 50 inf + 28973 29.647 * * [simplify]: Extracting #8: cost 23 inf + 50205 29.657 * * [simplify]: Extracting #9: cost 0 inf + 70940 29.667 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 29.667 * [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))))) 29.667 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 29.667 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 29.668 * * [simplify]: iters left: 6 (15 enodes) 29.672 * * [simplify]: iters left: 5 (62 enodes) 29.690 * * [simplify]: iters left: 4 (99 enodes) 29.721 * * [simplify]: iters left: 3 (144 enodes) 29.762 * * [simplify]: iters left: 2 (229 enodes) 29.817 * * [simplify]: iters left: 1 (404 enodes) 29.996 * * [simplify]: Extracting #0: cost 1 inf + 0 29.996 * * [simplify]: Extracting #1: cost 7 inf + 0 29.996 * * [simplify]: Extracting #2: cost 14 inf + 0 29.996 * * [simplify]: Extracting #3: cost 43 inf + 0 29.997 * * [simplify]: Extracting #4: cost 119 inf + 84 29.997 * * [simplify]: Extracting #5: cost 160 inf + 835 29.999 * * [simplify]: Extracting #6: cost 114 inf + 7711 30.005 * * [simplify]: Extracting #7: cost 47 inf + 31799 30.015 * * [simplify]: Extracting #8: cost 3 inf + 70311 30.040 * * [simplify]: Extracting #9: cost 0 inf + 71039 30.060 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 30.060 * [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))))) 30.061 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 30.061 * * [simplify]: iters left: 6 (14 enodes) 30.069 * * [simplify]: iters left: 5 (57 enodes) 30.088 * * [simplify]: iters left: 4 (90 enodes) 30.106 * * [simplify]: iters left: 3 (129 enodes) 30.130 * * [simplify]: iters left: 2 (209 enodes) 30.210 * * [simplify]: iters left: 1 (388 enodes) 30.365 * * [simplify]: Extracting #0: cost 1 inf + 0 30.365 * * [simplify]: Extracting #1: cost 4 inf + 0 30.365 * * [simplify]: Extracting #2: cost 8 inf + 0 30.365 * * [simplify]: Extracting #3: cost 37 inf + 0 30.365 * * [simplify]: Extracting #4: cost 113 inf + 124 30.366 * * [simplify]: Extracting #5: cost 155 inf + 671 30.368 * * [simplify]: Extracting #6: cost 107 inf + 7380 30.374 * * [simplify]: Extracting #7: cost 50 inf + 28733 30.382 * * [simplify]: Extracting #8: cost 23 inf + 49965 30.391 * * [simplify]: Extracting #9: cost 0 inf + 70700 30.404 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 30.404 * [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))))) 30.404 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 30.404 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 30.405 * * [simplify]: iters left: 6 (14 enodes) 30.414 * * [simplify]: iters left: 5 (59 enodes) 30.434 * * [simplify]: iters left: 4 (96 enodes) 30.463 * * [simplify]: iters left: 3 (138 enodes) 30.501 * * [simplify]: iters left: 2 (219 enodes) 30.549 * * [simplify]: iters left: 1 (402 enodes) 30.709 * * [simplify]: Extracting #0: cost 1 inf + 0 30.709 * * [simplify]: Extracting #1: cost 5 inf + 0 30.709 * * [simplify]: Extracting #2: cost 7 inf + 1 30.709 * * [simplify]: Extracting #3: cost 35 inf + 1 30.710 * * [simplify]: Extracting #4: cost 109 inf + 2 30.710 * * [simplify]: Extracting #5: cost 168 inf + 218 30.712 * * [simplify]: Extracting #6: cost 166 inf + 1185 30.717 * * [simplify]: Extracting #7: cost 89 inf + 14237 30.735 * * [simplify]: Extracting #8: cost 17 inf + 44796 30.759 * * [simplify]: Extracting #9: cost 0 inf + 57393 30.776 * * [simplify]: Extracting #10: cost 0 inf + 56487 30.799 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 30.799 * [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)))) 30.799 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 30.800 * * [simplify]: iters left: 6 (13 enodes) 30.805 * * [simplify]: iters left: 5 (54 enodes) 30.814 * * [simplify]: iters left: 4 (87 enodes) 30.833 * * [simplify]: iters left: 3 (130 enodes) 30.875 * * [simplify]: iters left: 2 (211 enodes) 30.954 * * [simplify]: iters left: 1 (391 enodes) 31.134 * * [simplify]: Extracting #0: cost 1 inf + 0 31.134 * * [simplify]: Extracting #1: cost 4 inf + 0 31.134 * * [simplify]: Extracting #2: cost 8 inf + 0 31.135 * * [simplify]: Extracting #3: cost 31 inf + 83 31.135 * * [simplify]: Extracting #4: cost 111 inf + 84 31.136 * * [simplify]: Extracting #5: cost 158 inf + 384 31.139 * * [simplify]: Extracting #6: cost 117 inf + 5889 31.145 * * [simplify]: Extracting #7: cost 47 inf + 29672 31.155 * * [simplify]: Extracting #8: cost 0 inf + 64298 31.165 * * [simplify]: Extracting #9: cost 0 inf + 64018 31.184 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 31.184 * [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)))) 31.184 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 31.185 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 31.185 * * [simplify]: iters left: 6 (15 enodes) 31.193 * * [simplify]: iters left: 5 (62 enodes) 31.214 * * [simplify]: iters left: 4 (99 enodes) 31.244 * * [simplify]: iters left: 3 (144 enodes) 31.268 * * [simplify]: iters left: 2 (229 enodes) 31.310 * * [simplify]: iters left: 1 (404 enodes) 31.436 * * [simplify]: Extracting #0: cost 1 inf + 0 31.436 * * [simplify]: Extracting #1: cost 7 inf + 0 31.436 * * [simplify]: Extracting #2: cost 14 inf + 0 31.436 * * [simplify]: Extracting #3: cost 43 inf + 0 31.437 * * [simplify]: Extracting #4: cost 119 inf + 84 31.437 * * [simplify]: Extracting #5: cost 160 inf + 835 31.439 * * [simplify]: Extracting #6: cost 114 inf + 7711 31.445 * * [simplify]: Extracting #7: cost 47 inf + 31799 31.460 * * [simplify]: Extracting #8: cost 3 inf + 70311 31.471 * * [simplify]: Extracting #9: cost 0 inf + 71039 31.482 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 31.482 * [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))))) 31.482 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 31.482 * * [simplify]: iters left: 6 (14 enodes) 31.486 * * [simplify]: iters left: 5 (57 enodes) 31.497 * * [simplify]: iters left: 4 (90 enodes) 31.514 * * [simplify]: iters left: 3 (129 enodes) 31.557 * * [simplify]: iters left: 2 (209 enodes) 31.637 * * [simplify]: iters left: 1 (388 enodes) 31.791 * * [simplify]: Extracting #0: cost 1 inf + 0 31.791 * * [simplify]: Extracting #1: cost 4 inf + 0 31.791 * * [simplify]: Extracting #2: cost 8 inf + 0 31.791 * * [simplify]: Extracting #3: cost 37 inf + 0 31.791 * * [simplify]: Extracting #4: cost 113 inf + 124 31.793 * * [simplify]: Extracting #5: cost 155 inf + 671 31.797 * * [simplify]: Extracting #6: cost 107 inf + 7380 31.808 * * [simplify]: Extracting #7: cost 50 inf + 28733 31.823 * * [simplify]: Extracting #8: cost 23 inf + 49965 31.842 * * [simplify]: Extracting #9: cost 0 inf + 70700 31.862 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 31.862 * [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))))) 31.862 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 31.863 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 31.863 * * [simplify]: iters left: 6 (13 enodes) 31.869 * * [simplify]: iters left: 5 (54 enodes) 31.879 * * [simplify]: iters left: 4 (95 enodes) 31.898 * * [simplify]: iters left: 3 (139 enodes) 31.937 * * [simplify]: iters left: 2 (220 enodes) 31.991 * * [simplify]: iters left: 1 (398 enodes) 32.147 * * [simplify]: Extracting #0: cost 1 inf + 0 32.147 * * [simplify]: Extracting #1: cost 5 inf + 0 32.147 * * [simplify]: Extracting #2: cost 7 inf + 1 32.147 * * [simplify]: Extracting #3: cost 36 inf + 1 32.148 * * [simplify]: Extracting #4: cost 115 inf + 2 32.149 * * [simplify]: Extracting #5: cost 175 inf + 176 32.152 * * [simplify]: Extracting #6: cost 149 inf + 4405 32.161 * * [simplify]: Extracting #7: cost 50 inf + 29117 32.181 * * [simplify]: Extracting #8: cost 12 inf + 54458 32.211 * * [simplify]: Extracting #9: cost 0 inf + 64642 32.235 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 32.235 * [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)))) 32.236 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 32.236 * * [simplify]: iters left: 6 (13 enodes) 32.244 * * [simplify]: iters left: 5 (54 enodes) 32.262 * * [simplify]: iters left: 4 (87 enodes) 32.291 * * [simplify]: iters left: 3 (130 enodes) 32.334 * * [simplify]: iters left: 2 (211 enodes) 32.391 * * [simplify]: iters left: 1 (391 enodes) 32.551 * * [simplify]: Extracting #0: cost 1 inf + 0 32.552 * * [simplify]: Extracting #1: cost 4 inf + 0 32.552 * * [simplify]: Extracting #2: cost 8 inf + 0 32.552 * * [simplify]: Extracting #3: cost 31 inf + 83 32.552 * * [simplify]: Extracting #4: cost 111 inf + 84 32.553 * * [simplify]: Extracting #5: cost 158 inf + 384 32.554 * * [simplify]: Extracting #6: cost 117 inf + 5889 32.559 * * [simplify]: Extracting #7: cost 47 inf + 29672 32.570 * * [simplify]: Extracting #8: cost 0 inf + 64298 32.582 * * [simplify]: Extracting #9: cost 0 inf + 64018 32.595 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 32.595 * [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)))) 32.595 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 32.595 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 32.595 * * [simplify]: iters left: 6 (15 enodes) 32.600 * * [simplify]: iters left: 5 (62 enodes) 32.610 * * [simplify]: iters left: 4 (98 enodes) 32.636 * * [simplify]: iters left: 3 (136 enodes) 32.664 * * [simplify]: iters left: 2 (216 enodes) 32.730 * * [simplify]: iters left: 1 (397 enodes) 32.939 * * [simplify]: Extracting #0: cost 1 inf + 0 32.939 * * [simplify]: Extracting #1: cost 6 inf + 0 32.939 * * [simplify]: Extracting #2: cost 13 inf + 0 32.939 * * [simplify]: Extracting #3: cost 48 inf + 0 32.940 * * [simplify]: Extracting #4: cost 134 inf + 2 32.941 * * [simplify]: Extracting #5: cost 167 inf + 1573 32.944 * * [simplify]: Extracting #6: cost 105 inf + 12209 32.951 * * [simplify]: Extracting #7: cost 28 inf + 44753 32.964 * * [simplify]: Extracting #8: cost 0 inf + 61242 32.991 * * [simplify]: Extracting #9: cost 0 inf + 58005 33.013 * * [simplify]: Extracting #10: cost 0 inf + 57965 33.028 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 33.028 * [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))))) 33.028 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 33.028 * * [simplify]: iters left: 6 (14 enodes) 33.033 * * [simplify]: iters left: 5 (57 enodes) 33.052 * * [simplify]: iters left: 4 (91 enodes) 33.081 * * [simplify]: iters left: 3 (129 enodes) 33.123 * * [simplify]: iters left: 2 (209 enodes) 33.189 * * [simplify]: iters left: 1 (391 enodes) 33.338 * * [simplify]: Extracting #0: cost 1 inf + 0 33.338 * * [simplify]: Extracting #1: cost 4 inf + 0 33.338 * * [simplify]: Extracting #2: cost 9 inf + 0 33.338 * * [simplify]: Extracting #3: cost 44 inf + 0 33.339 * * [simplify]: Extracting #4: cost 129 inf + 164 33.340 * * [simplify]: Extracting #5: cost 158 inf + 834 33.341 * * [simplify]: Extracting #6: cost 110 inf + 7471 33.346 * * [simplify]: Extracting #7: cost 51 inf + 28121 33.355 * * [simplify]: Extracting #8: cost 4 inf + 66797 33.365 * * [simplify]: Extracting #9: cost 0 inf + 70371 33.384 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 33.384 * [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))))) 33.384 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 33.385 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 33.385 * * [simplify]: iters left: 6 (15 enodes) 33.393 * * [simplify]: iters left: 5 (61 enodes) 33.414 * * [simplify]: iters left: 4 (95 enodes) 33.436 * * [simplify]: iters left: 3 (133 enodes) 33.463 * * [simplify]: iters left: 2 (213 enodes) 33.519 * * [simplify]: iters left: 1 (398 enodes) 33.680 * * [simplify]: Extracting #0: cost 1 inf + 0 33.680 * * [simplify]: Extracting #1: cost 4 inf + 0 33.680 * * [simplify]: Extracting #2: cost 10 inf + 0 33.680 * * [simplify]: Extracting #3: cost 45 inf + 0 33.681 * * [simplify]: Extracting #4: cost 130 inf + 204 33.682 * * [simplify]: Extracting #5: cost 162 inf + 1696 33.687 * * [simplify]: Extracting #6: cost 97 inf + 12171 33.698 * * [simplify]: Extracting #7: cost 35 inf + 37731 33.718 * * [simplify]: Extracting #8: cost 0 inf + 69032 33.741 * * [simplify]: Extracting #9: cost 0 inf + 68833 33.761 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 33.761 * [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))))) 33.762 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 33.762 * * [simplify]: iters left: 6 (14 enodes) 33.770 * * [simplify]: iters left: 5 (57 enodes) 33.782 * * [simplify]: iters left: 4 (91 enodes) 33.796 * * [simplify]: iters left: 3 (129 enodes) 33.827 * * [simplify]: iters left: 2 (209 enodes) 33.884 * * [simplify]: iters left: 1 (391 enodes) 34.033 * * [simplify]: Extracting #0: cost 1 inf + 0 34.034 * * [simplify]: Extracting #1: cost 4 inf + 0 34.034 * * [simplify]: Extracting #2: cost 9 inf + 0 34.034 * * [simplify]: Extracting #3: cost 44 inf + 0 34.035 * * [simplify]: Extracting #4: cost 129 inf + 204 34.036 * * [simplify]: Extracting #5: cost 158 inf + 914 34.040 * * [simplify]: Extracting #6: cost 110 inf + 7551 34.049 * * [simplify]: Extracting #7: cost 51 inf + 28201 34.066 * * [simplify]: Extracting #8: cost 4 inf + 66877 34.084 * * [simplify]: Extracting #9: cost 0 inf + 70451 34.104 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 34.104 * [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))))) 34.104 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 34.104 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.105 * * [simplify]: iters left: 6 (14 enodes) 34.112 * * [simplify]: iters left: 5 (57 enodes) 34.129 * * [simplify]: iters left: 4 (91 enodes) 34.156 * * [simplify]: iters left: 3 (129 enodes) 34.179 * * [simplify]: iters left: 2 (209 enodes) 34.246 * * [simplify]: iters left: 1 (391 enodes) 34.369 * * [simplify]: Extracting #0: cost 1 inf + 0 34.369 * * [simplify]: Extracting #1: cost 4 inf + 0 34.369 * * [simplify]: Extracting #2: cost 9 inf + 0 34.369 * * [simplify]: Extracting #3: cost 44 inf + 0 34.369 * * [simplify]: Extracting #4: cost 129 inf + 124 34.370 * * [simplify]: Extracting #5: cost 158 inf + 754 34.373 * * [simplify]: Extracting #6: cost 110 inf + 7391 34.380 * * [simplify]: Extracting #7: cost 51 inf + 27961 34.395 * * [simplify]: Extracting #8: cost 4 inf + 66637 34.413 * * [simplify]: Extracting #9: cost 0 inf + 70211 34.434 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 34.434 * [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))))) 34.435 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.435 * * [simplify]: iters left: 6 (14 enodes) 34.441 * * [simplify]: iters left: 5 (57 enodes) 34.451 * * [simplify]: iters left: 4 (91 enodes) 34.466 * * [simplify]: iters left: 3 (129 enodes) 34.494 * * [simplify]: iters left: 2 (209 enodes) 34.557 * * [simplify]: iters left: 1 (391 enodes) 34.687 * * [simplify]: Extracting #0: cost 1 inf + 0 34.687 * * [simplify]: Extracting #1: cost 4 inf + 0 34.687 * * [simplify]: Extracting #2: cost 9 inf + 0 34.687 * * [simplify]: Extracting #3: cost 44 inf + 0 34.688 * * [simplify]: Extracting #4: cost 129 inf + 124 34.688 * * [simplify]: Extracting #5: cost 158 inf + 754 34.693 * * [simplify]: Extracting #6: cost 110 inf + 7391 34.698 * * [simplify]: Extracting #7: cost 51 inf + 27961 34.714 * * [simplify]: Extracting #8: cost 4 inf + 66637 34.725 * * [simplify]: Extracting #9: cost 0 inf + 70211 34.736 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 34.736 * [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))))) 34.736 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 34.736 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 34.736 * * [simplify]: iters left: 6 (13 enodes) 34.741 * * [simplify]: iters left: 5 (54 enodes) 34.758 * * [simplify]: iters left: 4 (88 enodes) 34.772 * * [simplify]: iters left: 3 (129 enodes) 34.803 * * [simplify]: iters left: 2 (210 enodes) 34.855 * * [simplify]: iters left: 1 (396 enodes) 35.046 * * [simplify]: Extracting #0: cost 1 inf + 0 35.046 * * [simplify]: Extracting #1: cost 5 inf + 0 35.046 * * [simplify]: Extracting #2: cost 36 inf + 1 35.047 * * [simplify]: Extracting #3: cost 128 inf + 2 35.048 * * [simplify]: Extracting #4: cost 175 inf + 177 35.050 * * [simplify]: Extracting #5: cost 159 inf + 1509 35.056 * * [simplify]: Extracting #6: cost 80 inf + 12533 35.069 * * [simplify]: Extracting #7: cost 28 inf + 41960 35.089 * * [simplify]: Extracting #8: cost 0 inf + 67156 35.110 * * [simplify]: Extracting #9: cost 0 inf + 66985 35.135 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 35.135 * [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)))) 35.136 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 35.136 * * [simplify]: iters left: 6 (13 enodes) 35.143 * * [simplify]: iters left: 5 (54 enodes) 35.157 * * [simplify]: iters left: 4 (88 enodes) 35.172 * * [simplify]: iters left: 3 (127 enodes) 35.215 * * [simplify]: iters left: 2 (207 enodes) 35.298 * * [simplify]: iters left: 1 (391 enodes) 35.469 * * [simplify]: Extracting #0: cost 1 inf + 0 35.469 * * [simplify]: Extracting #1: cost 4 inf + 0 35.469 * * [simplify]: Extracting #2: cost 9 inf + 0 35.469 * * [simplify]: Extracting #3: cost 34 inf + 1 35.470 * * [simplify]: Extracting #4: cost 122 inf + 84 35.470 * * [simplify]: Extracting #5: cost 154 inf + 716 35.477 * * [simplify]: Extracting #6: cost 96 inf + 13671 35.484 * * [simplify]: Extracting #7: cost 21 inf + 46236 35.502 * * [simplify]: Extracting #8: cost 0 inf + 64227 35.525 * * [simplify]: Extracting #9: cost 0 inf + 62892 35.548 * * [simplify]: Extracting #10: cost 0 inf + 61006 35.571 * * [simplify]: Extracting #11: cost 0 inf + 60733 35.594 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 35.594 * [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)))) 35.594 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 35.594 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.595 * * [simplify]: iters left: 6 (14 enodes) 35.602 * * [simplify]: iters left: 5 (57 enodes) 35.615 * * [simplify]: iters left: 4 (91 enodes) 35.631 * * [simplify]: iters left: 3 (129 enodes) 35.670 * * [simplify]: iters left: 2 (209 enodes) 35.741 * * [simplify]: iters left: 1 (391 enodes) 35.887 * * [simplify]: Extracting #0: cost 1 inf + 0 35.888 * * [simplify]: Extracting #1: cost 4 inf + 0 35.888 * * [simplify]: Extracting #2: cost 9 inf + 0 35.888 * * [simplify]: Extracting #3: cost 44 inf + 0 35.889 * * [simplify]: Extracting #4: cost 129 inf + 124 35.890 * * [simplify]: Extracting #5: cost 158 inf + 754 35.892 * * [simplify]: Extracting #6: cost 110 inf + 7391 35.897 * * [simplify]: Extracting #7: cost 51 inf + 27961 35.906 * * [simplify]: Extracting #8: cost 4 inf + 66637 35.920 * * [simplify]: Extracting #9: cost 0 inf + 70211 35.941 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 35.941 * [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))))) 35.941 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.941 * * [simplify]: iters left: 6 (14 enodes) 35.950 * * [simplify]: iters left: 5 (57 enodes) 35.969 * * [simplify]: iters left: 4 (91 enodes) 35.993 * * [simplify]: iters left: 3 (129 enodes) 36.019 * * [simplify]: iters left: 2 (209 enodes) 36.100 * * [simplify]: iters left: 1 (391 enodes) 36.280 * * [simplify]: Extracting #0: cost 1 inf + 0 36.280 * * [simplify]: Extracting #1: cost 4 inf + 0 36.280 * * [simplify]: Extracting #2: cost 9 inf + 0 36.280 * * [simplify]: Extracting #3: cost 44 inf + 0 36.281 * * [simplify]: Extracting #4: cost 129 inf + 124 36.282 * * [simplify]: Extracting #5: cost 158 inf + 754 36.286 * * [simplify]: Extracting #6: cost 110 inf + 7391 36.296 * * [simplify]: Extracting #7: cost 51 inf + 27961 36.314 * * [simplify]: Extracting #8: cost 4 inf + 66637 36.334 * * [simplify]: Extracting #9: cost 0 inf + 70211 36.355 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 36.355 * [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))))) 36.355 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 36.355 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 36.355 * * [simplify]: iters left: 6 (12 enodes) 36.363 * * [simplify]: iters left: 5 (49 enodes) 36.379 * * [simplify]: iters left: 4 (83 enodes) 36.407 * * [simplify]: iters left: 3 (128 enodes) 36.453 * * [simplify]: iters left: 2 (214 enodes) 36.530 * * [simplify]: iters left: 1 (396 enodes) 36.717 * * [simplify]: Extracting #0: cost 1 inf + 0 36.717 * * [simplify]: Extracting #1: cost 5 inf + 0 36.717 * * [simplify]: Extracting #2: cost 36 inf + 1 36.718 * * [simplify]: Extracting #3: cost 136 inf + 2 36.719 * * [simplify]: Extracting #4: cost 174 inf + 177 36.721 * * [simplify]: Extracting #5: cost 161 inf + 1224 36.726 * * [simplify]: Extracting #6: cost 85 inf + 15310 36.739 * * [simplify]: Extracting #7: cost 27 inf + 47082 36.760 * * [simplify]: Extracting #8: cost 0 inf + 69689 36.784 * * [simplify]: Extracting #9: cost 0 inf + 69346 36.804 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 36.804 * [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)))) 36.804 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 36.804 * * [simplify]: iters left: 6 (13 enodes) 36.808 * * [simplify]: iters left: 5 (54 enodes) 36.818 * * [simplify]: iters left: 4 (88 enodes) 36.832 * * [simplify]: iters left: 3 (127 enodes) 36.862 * * [simplify]: iters left: 2 (207 enodes) 36.918 * * [simplify]: iters left: 1 (391 enodes) 37.101 * * [simplify]: Extracting #0: cost 1 inf + 0 37.101 * * [simplify]: Extracting #1: cost 4 inf + 0 37.101 * * [simplify]: Extracting #2: cost 9 inf + 0 37.101 * * [simplify]: Extracting #3: cost 34 inf + 1 37.102 * * [simplify]: Extracting #4: cost 122 inf + 84 37.103 * * [simplify]: Extracting #5: cost 154 inf + 716 37.108 * * [simplify]: Extracting #6: cost 96 inf + 13671 37.121 * * [simplify]: Extracting #7: cost 21 inf + 46236 37.142 * * [simplify]: Extracting #8: cost 0 inf + 64227 37.164 * * [simplify]: Extracting #9: cost 0 inf + 62892 37.186 * * [simplify]: Extracting #10: cost 0 inf + 61006 37.206 * * [simplify]: Extracting #11: cost 0 inf + 60733 37.218 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 37.218 * [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)))) 37.218 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 37.218 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 37.218 * * [simplify]: iters left: 6 (6 enodes) 37.220 * * [simplify]: iters left: 5 (22 enodes) 37.226 * * [simplify]: iters left: 4 (26 enodes) 37.230 * * [simplify]: Extracting #0: cost 1 inf + 0 37.230 * * [simplify]: Extracting #1: cost 6 inf + 0 37.230 * * [simplify]: Extracting #2: cost 9 inf + 1 37.231 * * [simplify]: Extracting #3: cost 11 inf + 1 37.231 * * [simplify]: Extracting #4: cost 8 inf + 84 37.231 * * [simplify]: Extracting #5: cost 2 inf + 1013 37.231 * * [simplify]: Extracting #6: cost 0 inf + 1376 37.231 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 37.231 * [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))))) 37.232 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 37.232 * * [simplify]: iters left: 6 (13 enodes) 37.236 * * [simplify]: iters left: 5 (54 enodes) 37.254 * * [simplify]: iters left: 4 (89 enodes) 37.284 * * [simplify]: iters left: 3 (138 enodes) 37.320 * * [simplify]: iters left: 2 (235 enodes) 37.372 * * [simplify]: iters left: 1 (482 enodes) 37.595 * * [simplify]: Extracting #0: cost 1 inf + 0 37.596 * * [simplify]: Extracting #1: cost 47 inf + 0 37.597 * * [simplify]: Extracting #2: cost 151 inf + 0 37.598 * * [simplify]: Extracting #3: cost 236 inf + 3 37.601 * * [simplify]: Extracting #4: cost 230 inf + 2577 37.610 * * [simplify]: Extracting #5: cost 127 inf + 37718 37.626 * * [simplify]: Extracting #6: cost 20 inf + 119537 37.661 * * [simplify]: Extracting #7: cost 0 inf + 135097 37.701 * * [simplify]: Extracting #8: cost 0 inf + 133941 37.734 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 37.734 * [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))))) 37.734 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 37.734 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 37.734 * * [simplify]: iters left: 6 (6 enodes) 37.736 * * [simplify]: iters left: 5 (21 enodes) 37.740 * * [simplify]: iters left: 4 (23 enodes) 37.744 * * [simplify]: Extracting #0: cost 1 inf + 0 37.744 * * [simplify]: Extracting #1: cost 4 inf + 0 37.744 * * [simplify]: Extracting #2: cost 6 inf + 1 37.744 * * [simplify]: Extracting #3: cost 9 inf + 1 37.744 * * [simplify]: Extracting #4: cost 8 inf + 2 37.744 * * [simplify]: Extracting #5: cost 1 inf + 810 37.745 * * [simplify]: Extracting #6: cost 0 inf + 972 37.745 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 37.745 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 37.745 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 37.745 * * [simplify]: iters left: 6 (13 enodes) 37.749 * * [simplify]: iters left: 5 (54 enodes) 37.759 * * [simplify]: iters left: 4 (89 enodes) 37.787 * * [simplify]: iters left: 3 (138 enodes) 37.825 * * [simplify]: iters left: 2 (235 enodes) 37.899 * * [simplify]: iters left: 1 (482 enodes) 38.089 * * [simplify]: Extracting #0: cost 1 inf + 0 38.089 * * [simplify]: Extracting #1: cost 47 inf + 0 38.090 * * [simplify]: Extracting #2: cost 151 inf + 0 38.091 * * [simplify]: Extracting #3: cost 236 inf + 3 38.093 * * [simplify]: Extracting #4: cost 230 inf + 2617 38.103 * * [simplify]: Extracting #5: cost 127 inf + 37798 38.129 * * [simplify]: Extracting #6: cost 20 inf + 119617 38.149 * * [simplify]: Extracting #7: cost 0 inf + 135177 38.188 * * [simplify]: Extracting #8: cost 0 inf + 134021 38.220 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 38.220 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))))) 38.220 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 38.220 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 38.220 * * [simplify]: iters left: 4 (5 enodes) 38.222 * * [simplify]: iters left: 3 (17 enodes) 38.225 * * [simplify]: iters left: 2 (19 enodes) 38.227 * * [simplify]: Extracting #0: cost 1 inf + 0 38.227 * * [simplify]: Extracting #1: cost 4 inf + 0 38.227 * * [simplify]: Extracting #2: cost 5 inf + 1 38.227 * * [simplify]: Extracting #3: cost 7 inf + 1 38.228 * * [simplify]: Extracting #4: cost 0 inf + 490 38.228 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 38.228 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 38.228 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 38.228 * * [simplify]: iters left: 6 (13 enodes) 38.233 * * [simplify]: iters left: 5 (54 enodes) 38.242 * * [simplify]: iters left: 4 (89 enodes) 38.268 * * [simplify]: iters left: 3 (138 enodes) 38.292 * * [simplify]: iters left: 2 (235 enodes) 38.384 * * [simplify]: iters left: 1 (482 enodes) 38.641 * * [simplify]: Extracting #0: cost 1 inf + 0 38.641 * * [simplify]: Extracting #1: cost 47 inf + 0 38.642 * * [simplify]: Extracting #2: cost 151 inf + 0 38.643 * * [simplify]: Extracting #3: cost 236 inf + 3 38.646 * * [simplify]: Extracting #4: cost 230 inf + 2457 38.654 * * [simplify]: Extracting #5: cost 127 inf + 36718 38.673 * * [simplify]: Extracting #6: cost 20 inf + 116537 38.701 * * [simplify]: Extracting #7: cost 0 inf + 131777 38.722 * * [simplify]: Extracting #8: cost 0 inf + 130621 38.750 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 38.750 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 38.751 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 38.751 * [simplify]: Simplifying (/ 1 (sqrt 1)) 38.751 * * [simplify]: iters left: 3 (3 enodes) 38.755 * * [simplify]: iters left: 2 (11 enodes) 38.756 * * [simplify]: iters left: 1 (13 enodes) 38.758 * * [simplify]: Extracting #0: cost 1 inf + 0 38.758 * * [simplify]: Extracting #1: cost 0 inf + 1 38.758 * [simplify]: Simplified to 1 38.758 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 38.758 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 38.759 * * [simplify]: iters left: 6 (12 enodes) 38.762 * * [simplify]: iters left: 5 (51 enodes) 38.775 * * [simplify]: iters left: 4 (86 enodes) 38.804 * * [simplify]: iters left: 3 (135 enodes) 38.849 * * [simplify]: iters left: 2 (232 enodes) 38.913 * * [simplify]: iters left: 1 (483 enodes) 39.145 * * [simplify]: Extracting #0: cost 1 inf + 0 39.145 * * [simplify]: Extracting #1: cost 47 inf + 0 39.146 * * [simplify]: Extracting #2: cost 158 inf + 0 39.147 * * [simplify]: Extracting #3: cost 244 inf + 4 39.150 * * [simplify]: Extracting #4: cost 247 inf + 974 39.157 * * [simplify]: Extracting #5: cost 169 inf + 13711 39.178 * * [simplify]: Extracting #6: cost 80 inf + 69066 39.212 * * [simplify]: Extracting #7: cost 4 inf + 131511 39.235 * * [simplify]: Extracting #8: cost 0 inf + 133452 39.266 * * [simplify]: Extracting #9: cost 0 inf + 133200 39.290 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 39.290 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 39.290 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 39.290 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 39.291 * * [simplify]: iters left: 4 (5 enodes) 39.293 * * [simplify]: iters left: 3 (17 enodes) 39.298 * * [simplify]: iters left: 2 (19 enodes) 39.305 * * [simplify]: Extracting #0: cost 1 inf + 0 39.305 * * [simplify]: Extracting #1: cost 4 inf + 0 39.305 * * [simplify]: Extracting #2: cost 5 inf + 1 39.305 * * [simplify]: Extracting #3: cost 7 inf + 1 39.305 * * [simplify]: Extracting #4: cost 0 inf + 490 39.305 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 39.305 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 39.305 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 39.306 * * [simplify]: iters left: 6 (13 enodes) 39.310 * * [simplify]: iters left: 5 (54 enodes) 39.319 * * [simplify]: iters left: 4 (89 enodes) 39.335 * * [simplify]: iters left: 3 (138 enodes) 39.381 * * [simplify]: iters left: 2 (235 enodes) 39.475 * * [simplify]: iters left: 1 (482 enodes) 39.746 * * [simplify]: Extracting #0: cost 1 inf + 0 39.746 * * [simplify]: Extracting #1: cost 47 inf + 0 39.747 * * [simplify]: Extracting #2: cost 151 inf + 0 39.748 * * [simplify]: Extracting #3: cost 236 inf + 3 39.751 * * [simplify]: Extracting #4: cost 230 inf + 2457 39.762 * * [simplify]: Extracting #5: cost 127 inf + 36718 39.798 * * [simplify]: Extracting #6: cost 20 inf + 116537 39.837 * * [simplify]: Extracting #7: cost 0 inf + 131777 39.870 * * [simplify]: Extracting #8: cost 0 inf + 130621 39.890 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 39.890 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 39.891 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 39.891 * [simplify]: Simplifying (/ 1 1) 39.891 * * [simplify]: iters left: 2 (2 enodes) 39.892 * * [simplify]: iters left: 1 (6 enodes) 39.893 * * [simplify]: Extracting #0: cost 1 inf + 0 39.893 * * [simplify]: Extracting #1: cost 0 inf + 1 39.893 * [simplify]: Simplified to 1 39.893 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 39.893 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 39.893 * * [simplify]: iters left: 6 (12 enodes) 39.899 * * [simplify]: iters left: 5 (51 enodes) 39.914 * * [simplify]: iters left: 4 (86 enodes) 39.928 * * [simplify]: iters left: 3 (135 enodes) 39.973 * * [simplify]: iters left: 2 (232 enodes) 40.056 * * [simplify]: iters left: 1 (483 enodes) 40.287 * * [simplify]: Extracting #0: cost 1 inf + 0 40.287 * * [simplify]: Extracting #1: cost 47 inf + 0 40.288 * * [simplify]: Extracting #2: cost 158 inf + 0 40.289 * * [simplify]: Extracting #3: cost 244 inf + 4 40.290 * * [simplify]: Extracting #4: cost 247 inf + 974 40.293 * * [simplify]: Extracting #5: cost 169 inf + 13711 40.304 * * [simplify]: Extracting #6: cost 80 inf + 69066 40.327 * * [simplify]: Extracting #7: cost 4 inf + 131511 40.348 * * [simplify]: Extracting #8: cost 0 inf + 133452 40.372 * * [simplify]: Extracting #9: cost 0 inf + 133200 40.413 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 40.413 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 40.413 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 40.414 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.414 * * [simplify]: iters left: 6 (15 enodes) 40.422 * * [simplify]: iters left: 5 (65 enodes) 40.446 * * [simplify]: iters left: 4 (109 enodes) 40.478 * * [simplify]: iters left: 3 (188 enodes) 40.523 * * [simplify]: iters left: 2 (375 enodes) 40.656 * * [simplify]: Extracting #0: cost 1 inf + 0 40.656 * * [simplify]: Extracting #1: cost 53 inf + 0 40.657 * * [simplify]: Extracting #2: cost 144 inf + 0 40.657 * * [simplify]: Extracting #3: cost 223 inf + 2 40.659 * * [simplify]: Extracting #4: cost 215 inf + 3032 40.664 * * [simplify]: Extracting #5: cost 124 inf + 38706 40.678 * * [simplify]: Extracting #6: cost 10 inf + 115836 40.701 * * [simplify]: Extracting #7: cost 0 inf + 122346 40.735 * * [simplify]: Extracting #8: cost 0 inf + 122094 40.772 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.773 * [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))))) 40.773 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 40.773 * * [simplify]: iters left: 6 (14 enodes) 40.781 * * [simplify]: iters left: 5 (60 enodes) 40.801 * * [simplify]: iters left: 4 (98 enodes) 40.834 * * [simplify]: iters left: 3 (160 enodes) 40.886 * * [simplify]: iters left: 2 (297 enodes) 40.978 * * [simplify]: Extracting #0: cost 1 inf + 0 40.978 * * [simplify]: Extracting #1: cost 30 inf + 0 40.978 * * [simplify]: Extracting #2: cost 75 inf + 0 40.979 * * [simplify]: Extracting #3: cost 137 inf + 2 40.980 * * [simplify]: Extracting #4: cost 143 inf + 556 40.983 * * [simplify]: Extracting #5: cost 105 inf + 4987 40.991 * * [simplify]: Extracting #6: cost 39 inf + 33500 41.006 * * [simplify]: Extracting #7: cost 1 inf + 60122 41.021 * * [simplify]: Extracting #8: cost 0 inf + 60185 41.040 * * [simplify]: Extracting #9: cost 0 inf + 59923 41.051 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 41.051 * [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))))) 41.052 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 41.052 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 41.052 * * [simplify]: iters left: 6 (15 enodes) 41.057 * * [simplify]: iters left: 5 (64 enodes) 41.068 * * [simplify]: iters left: 4 (102 enodes) 41.090 * * [simplify]: iters left: 3 (164 enodes) 41.134 * * [simplify]: iters left: 2 (303 enodes) 41.207 * * [simplify]: Extracting #0: cost 1 inf + 0 41.207 * * [simplify]: Extracting #1: cost 30 inf + 0 41.207 * * [simplify]: Extracting #2: cost 75 inf + 0 41.208 * * [simplify]: Extracting #3: cost 140 inf + 2 41.209 * * [simplify]: Extracting #4: cost 147 inf + 849 41.213 * * [simplify]: Extracting #5: cost 86 inf + 13540 41.223 * * [simplify]: Extracting #6: cost 33 inf + 35794 41.242 * * [simplify]: Extracting #7: cost 0 inf + 58555 41.257 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 41.257 * [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))))) 41.258 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 41.258 * * [simplify]: iters left: 6 (14 enodes) 41.266 * * [simplify]: iters left: 5 (60 enodes) 41.287 * * [simplify]: iters left: 4 (98 enodes) 41.320 * * [simplify]: iters left: 3 (160 enodes) 41.379 * * [simplify]: iters left: 2 (297 enodes) 41.448 * * [simplify]: Extracting #0: cost 1 inf + 0 41.449 * * [simplify]: Extracting #1: cost 30 inf + 0 41.449 * * [simplify]: Extracting #2: cost 75 inf + 0 41.449 * * [simplify]: Extracting #3: cost 137 inf + 2 41.450 * * [simplify]: Extracting #4: cost 143 inf + 556 41.451 * * [simplify]: Extracting #5: cost 105 inf + 5067 41.455 * * [simplify]: Extracting #6: cost 39 inf + 33580 41.466 * * [simplify]: Extracting #7: cost 1 inf + 60202 41.480 * * [simplify]: Extracting #8: cost 0 inf + 60265 41.488 * * [simplify]: Extracting #9: cost 0 inf + 60003 41.496 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 41.496 * [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))))) 41.496 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 41.497 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 41.497 * * [simplify]: iters left: 6 (14 enodes) 41.501 * * [simplify]: iters left: 5 (60 enodes) 41.515 * * [simplify]: iters left: 4 (98 enodes) 41.537 * * [simplify]: iters left: 3 (160 enodes) 41.581 * * [simplify]: iters left: 2 (297 enodes) 41.654 * * [simplify]: Extracting #0: cost 1 inf + 0 41.654 * * [simplify]: Extracting #1: cost 30 inf + 0 41.654 * * [simplify]: Extracting #2: cost 75 inf + 0 41.655 * * [simplify]: Extracting #3: cost 137 inf + 2 41.655 * * [simplify]: Extracting #4: cost 143 inf + 556 41.659 * * [simplify]: Extracting #5: cost 105 inf + 4907 41.664 * * [simplify]: Extracting #6: cost 39 inf + 32820 41.671 * * [simplify]: Extracting #7: cost 1 inf + 58682 41.683 * * [simplify]: Extracting #8: cost 0 inf + 58705 41.691 * * [simplify]: Extracting #9: cost 0 inf + 58443 41.699 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 41.700 * [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))))) 41.700 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 41.700 * * [simplify]: iters left: 6 (14 enodes) 41.704 * * [simplify]: iters left: 5 (60 enodes) 41.722 * * [simplify]: iters left: 4 (98 enodes) 41.755 * * [simplify]: iters left: 3 (160 enodes) 41.807 * * [simplify]: iters left: 2 (297 enodes) 41.901 * * [simplify]: Extracting #0: cost 1 inf + 0 41.901 * * [simplify]: Extracting #1: cost 30 inf + 0 41.901 * * [simplify]: Extracting #2: cost 75 inf + 0 41.903 * * [simplify]: Extracting #3: cost 137 inf + 2 41.904 * * [simplify]: Extracting #4: cost 143 inf + 556 41.906 * * [simplify]: Extracting #5: cost 105 inf + 4907 41.914 * * [simplify]: Extracting #6: cost 39 inf + 32820 41.929 * * [simplify]: Extracting #7: cost 1 inf + 58682 41.944 * * [simplify]: Extracting #8: cost 0 inf + 58705 41.961 * * [simplify]: Extracting #9: cost 0 inf + 58443 41.977 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 41.977 * [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))))) 41.977 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 41.977 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 41.977 * * [simplify]: iters left: 6 (13 enodes) 41.986 * * [simplify]: iters left: 5 (57 enodes) 42.005 * * [simplify]: iters left: 4 (93 enodes) 42.038 * * [simplify]: iters left: 3 (153 enodes) 42.093 * * [simplify]: iters left: 2 (288 enodes) 42.168 * * [simplify]: Extracting #0: cost 1 inf + 0 42.168 * * [simplify]: Extracting #1: cost 26 inf + 0 42.168 * * [simplify]: Extracting #2: cost 90 inf + 2 42.169 * * [simplify]: Extracting #3: cost 135 inf + 9 42.170 * * [simplify]: Extracting #4: cost 127 inf + 889 42.174 * * [simplify]: Extracting #5: cost 63 inf + 8553 42.180 * * [simplify]: Extracting #6: cost 22 inf + 27746 42.187 * * [simplify]: Extracting #7: cost 0 inf + 44195 42.193 * * [simplify]: Extracting #8: cost 0 inf + 43571 42.200 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 42.200 * [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)))) 42.201 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 42.201 * * [simplify]: iters left: 6 (13 enodes) 42.205 * * [simplify]: iters left: 5 (57 enodes) 42.222 * * [simplify]: iters left: 4 (95 enodes) 42.239 * * [simplify]: iters left: 3 (157 enodes) 42.281 * * [simplify]: iters left: 2 (295 enodes) 42.352 * * [simplify]: Extracting #0: cost 1 inf + 0 42.352 * * [simplify]: Extracting #1: cost 30 inf + 0 42.352 * * [simplify]: Extracting #2: cost 72 inf + 0 42.353 * * [simplify]: Extracting #3: cost 133 inf + 3 42.353 * * [simplify]: Extracting #4: cost 131 inf + 1551 42.356 * * [simplify]: Extracting #5: cost 70 inf + 17140 42.364 * * [simplify]: Extracting #6: cost 7 inf + 47338 42.372 * * [simplify]: Extracting #7: cost 0 inf + 49972 42.382 * * [simplify]: Extracting #8: cost 0 inf + 49932 42.399 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 42.399 * [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)))) 42.399 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 42.399 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 42.400 * * [simplify]: iters left: 6 (14 enodes) 42.408 * * [simplify]: iters left: 5 (60 enodes) 42.429 * * [simplify]: iters left: 4 (98 enodes) 42.465 * * [simplify]: iters left: 3 (160 enodes) 42.503 * * [simplify]: iters left: 2 (297 enodes) 42.578 * * [simplify]: Extracting #0: cost 1 inf + 0 42.579 * * [simplify]: Extracting #1: cost 30 inf + 0 42.579 * * [simplify]: Extracting #2: cost 75 inf + 0 42.579 * * [simplify]: Extracting #3: cost 137 inf + 2 42.580 * * [simplify]: Extracting #4: cost 143 inf + 556 42.581 * * [simplify]: Extracting #5: cost 105 inf + 4907 42.585 * * [simplify]: Extracting #6: cost 39 inf + 32820 42.593 * * [simplify]: Extracting #7: cost 1 inf + 58682 42.604 * * [simplify]: Extracting #8: cost 0 inf + 58705 42.615 * * [simplify]: Extracting #9: cost 0 inf + 58443 42.623 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 42.623 * [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))))) 42.623 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 42.623 * * [simplify]: iters left: 6 (14 enodes) 42.628 * * [simplify]: iters left: 5 (60 enodes) 42.642 * * [simplify]: iters left: 4 (98 enodes) 42.674 * * [simplify]: iters left: 3 (160 enodes) 42.715 * * [simplify]: iters left: 2 (297 enodes) 42.819 * * [simplify]: Extracting #0: cost 1 inf + 0 42.819 * * [simplify]: Extracting #1: cost 30 inf + 0 42.819 * * [simplify]: Extracting #2: cost 75 inf + 0 42.820 * * [simplify]: Extracting #3: cost 137 inf + 2 42.821 * * [simplify]: Extracting #4: cost 143 inf + 556 42.824 * * [simplify]: Extracting #5: cost 105 inf + 4907 42.830 * * [simplify]: Extracting #6: cost 39 inf + 32820 42.837 * * [simplify]: Extracting #7: cost 1 inf + 58682 42.845 * * [simplify]: Extracting #8: cost 0 inf + 58705 42.853 * * [simplify]: Extracting #9: cost 0 inf + 58443 42.867 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 42.867 * [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))))) 42.867 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 42.867 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 42.868 * * [simplify]: iters left: 6 (12 enodes) 42.878 * * [simplify]: iters left: 5 (52 enodes) 42.892 * * [simplify]: iters left: 4 (90 enodes) 42.909 * * [simplify]: iters left: 3 (158 enodes) 42.950 * * [simplify]: iters left: 2 (296 enodes) 43.030 * * [simplify]: Extracting #0: cost 1 inf + 0 43.030 * * [simplify]: Extracting #1: cost 30 inf + 0 43.031 * * [simplify]: Extracting #2: cost 111 inf + 2 43.032 * * [simplify]: Extracting #3: cost 157 inf + 219 43.033 * * [simplify]: Extracting #4: cost 157 inf + 556 43.036 * * [simplify]: Extracting #5: cost 114 inf + 5544 43.043 * * [simplify]: Extracting #6: cost 51 inf + 26129 43.051 * * [simplify]: Extracting #7: cost 5 inf + 59212 43.060 * * [simplify]: Extracting #8: cost 0 inf + 62272 43.074 * * [simplify]: Extracting #9: cost 0 inf + 61818 43.091 * * [simplify]: Extracting #10: cost 0 inf + 61777 43.106 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 43.106 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 43.106 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 43.106 * * [simplify]: iters left: 6 (13 enodes) 43.111 * * [simplify]: iters left: 5 (57 enodes) 43.121 * * [simplify]: iters left: 4 (95 enodes) 43.151 * * [simplify]: iters left: 3 (157 enodes) 43.196 * * [simplify]: iters left: 2 (295 enodes) 43.280 * * [simplify]: Extracting #0: cost 1 inf + 0 43.280 * * [simplify]: Extracting #1: cost 30 inf + 0 43.280 * * [simplify]: Extracting #2: cost 72 inf + 0 43.281 * * [simplify]: Extracting #3: cost 133 inf + 3 43.282 * * [simplify]: Extracting #4: cost 131 inf + 1551 43.287 * * [simplify]: Extracting #5: cost 70 inf + 17140 43.294 * * [simplify]: Extracting #6: cost 7 inf + 47338 43.302 * * [simplify]: Extracting #7: cost 0 inf + 49972 43.315 * * [simplify]: Extracting #8: cost 0 inf + 49932 43.331 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 43.331 * [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)))) 43.331 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 43.331 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 43.332 * [simplify]: Simplifying (/ 1 (sqrt k)) 43.332 * * [simplify]: iters left: 3 (4 enodes) 43.334 * * [simplify]: iters left: 2 (14 enodes) 43.339 * * [simplify]: iters left: 1 (16 enodes) 43.344 * * [simplify]: Extracting #0: cost 1 inf + 0 43.344 * * [simplify]: Extracting #1: cost 4 inf + 0 43.344 * * [simplify]: Extracting #2: cost 5 inf + 1 43.344 * * [simplify]: Extracting #3: cost 3 inf + 43 43.344 * * [simplify]: Extracting #4: cost 1 inf + 166 43.344 * * [simplify]: Extracting #5: cost 0 inf + 248 43.344 * [simplify]: Simplified to (/ 1 (sqrt k)) 43.344 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 43.344 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 43.345 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 43.345 * * [simplify]: iters left: 6 (12 enodes) 43.349 * * [simplify]: iters left: 5 (51 enodes) 43.359 * * [simplify]: iters left: 4 (86 enodes) 43.374 * * [simplify]: iters left: 3 (133 enodes) 43.423 * * [simplify]: iters left: 2 (224 enodes) 43.477 * * [simplify]: iters left: 1 (420 enodes) 43.652 * * [simplify]: Extracting #0: cost 1 inf + 0 43.652 * * [simplify]: Extracting #1: cost 6 inf + 0 43.652 * * [simplify]: Extracting #2: cost 43 inf + 0 43.653 * * [simplify]: Extracting #3: cost 141 inf + 43 43.653 * * [simplify]: Extracting #4: cost 183 inf + 344 43.655 * * [simplify]: Extracting #5: cost 150 inf + 4066 43.658 * * [simplify]: Extracting #6: cost 80 inf + 19545 43.666 * * [simplify]: Extracting #7: cost 20 inf + 61114 43.685 * * [simplify]: Extracting #8: cost 0 inf + 78849 43.711 * * [simplify]: Extracting #9: cost 0 inf + 77776 43.737 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 43.737 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 43.737 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 43.738 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 43.738 * * [simplify]: iters left: 6 (14 enodes) 43.747 * * [simplify]: iters left: 5 (59 enodes) 43.767 * * [simplify]: iters left: 4 (100 enodes) 43.794 * * [simplify]: iters left: 3 (160 enodes) 43.829 * * [simplify]: iters left: 2 (302 enodes) 43.929 * * [simplify]: Extracting #0: cost 1 inf + 0 43.930 * * [simplify]: Extracting #1: cost 56 inf + 0 43.931 * * [simplify]: Extracting #2: cost 147 inf + 0 43.932 * * [simplify]: Extracting #3: cost 212 inf + 2 43.935 * * [simplify]: Extracting #4: cost 188 inf + 6669 43.954 * * [simplify]: Extracting #5: cost 61 inf + 73054 43.988 * * [simplify]: Extracting #6: cost 0 inf + 110634 44.023 * * [simplify]: Extracting #7: cost 0 inf + 109201 44.058 * * [simplify]: Extracting #8: cost 0 inf + 108539 44.092 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 44.092 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 44.092 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 44.092 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 44.092 * * [simplify]: iters left: 6 (14 enodes) 44.097 * * [simplify]: iters left: 5 (58 enodes) 44.107 * * [simplify]: iters left: 4 (93 enodes) 44.127 * * [simplify]: iters left: 3 (137 enodes) 44.153 * * [simplify]: iters left: 2 (233 enodes) 44.223 * * [simplify]: iters left: 1 (467 enodes) 44.786 * * [simplify]: Extracting #0: cost 1 inf + 0 44.786 * * [simplify]: Extracting #1: cost 57 inf + 0 44.787 * * [simplify]: Extracting #2: cost 164 inf + 0 44.788 * * [simplify]: Extracting #3: cost 235 inf + 3 44.789 * * [simplify]: Extracting #4: cost 230 inf + 2121 44.793 * * [simplify]: Extracting #5: cost 155 inf + 24051 44.814 * * [simplify]: Extracting #6: cost 17 inf + 133123 44.850 * * [simplify]: Extracting #7: cost 0 inf + 145415 44.886 * * [simplify]: Extracting #8: cost 0 inf + 145244 44.908 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 44.908 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k)))) 44.908 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 44.908 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 44.908 * * [simplify]: iters left: 6 (13 enodes) 44.912 * * [simplify]: iters left: 5 (54 enodes) 44.924 * * [simplify]: iters left: 4 (89 enodes) 44.938 * * [simplify]: iters left: 3 (138 enodes) 44.971 * * [simplify]: iters left: 2 (235 enodes) 45.035 * * [simplify]: iters left: 1 (482 enodes) 45.274 * * [simplify]: Extracting #0: cost 1 inf + 0 45.274 * * [simplify]: Extracting #1: cost 47 inf + 0 45.275 * * [simplify]: Extracting #2: cost 151 inf + 0 45.276 * * [simplify]: Extracting #3: cost 236 inf + 3 45.279 * * [simplify]: Extracting #4: cost 230 inf + 2457 45.289 * * [simplify]: Extracting #5: cost 127 inf + 36718 45.321 * * [simplify]: Extracting #6: cost 20 inf + 116537 45.365 * * [simplify]: Extracting #7: cost 0 inf + 131777 45.405 * * [simplify]: Extracting #8: cost 0 inf + 130621 45.444 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 45.445 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 45.445 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 45.445 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) 45.445 * * [simplify]: iters left: 6 (12 enodes) 45.454 * * [simplify]: iters left: 5 (51 enodes) 45.466 * * [simplify]: iters left: 4 (84 enodes) 45.482 * * [simplify]: iters left: 3 (131 enodes) 45.514 * * [simplify]: iters left: 2 (224 enodes) 45.601 * * [simplify]: iters left: 1 (449 enodes) 45.785 * * [simplify]: Extracting #0: cost 1 inf + 0 45.785 * * [simplify]: Extracting #1: cost 60 inf + 0 45.786 * * [simplify]: Extracting #2: cost 170 inf + 2 45.787 * * [simplify]: Extracting #3: cost 229 inf + 259 45.788 * * [simplify]: Extracting #4: cost 219 inf + 1225 45.792 * * [simplify]: Extracting #5: cost 121 inf + 20590 45.803 * * [simplify]: Extracting #6: cost 39 inf + 72079 45.826 * * [simplify]: Extracting #7: cost 0 inf + 106870 45.862 * * [simplify]: Extracting #8: cost 0 inf + 106710 45.893 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 45.893 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 45.893 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 45.894 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 45.894 * * [simplify]: iters left: 6 (13 enodes) 45.901 * * [simplify]: iters left: 5 (54 enodes) 45.920 * * [simplify]: iters left: 4 (89 enodes) 45.949 * * [simplify]: iters left: 3 (138 enodes) 45.990 * * [simplify]: iters left: 2 (235 enodes) 46.051 * * [simplify]: iters left: 1 (482 enodes) 46.277 * * [simplify]: Extracting #0: cost 1 inf + 0 46.278 * * [simplify]: Extracting #1: cost 47 inf + 0 46.278 * * [simplify]: Extracting #2: cost 151 inf + 0 46.279 * * [simplify]: Extracting #3: cost 236 inf + 3 46.280 * * [simplify]: Extracting #4: cost 230 inf + 2457 46.288 * * [simplify]: Extracting #5: cost 127 inf + 36718 46.320 * * [simplify]: Extracting #6: cost 20 inf + 116537 46.347 * * [simplify]: Extracting #7: cost 0 inf + 131777 46.368 * * [simplify]: Extracting #8: cost 0 inf + 130621 46.391 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 46.391 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 46.391 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 46.391 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 46.391 * * [simplify]: iters left: 6 (11 enodes) 46.395 * * [simplify]: iters left: 5 (46 enodes) 46.403 * * [simplify]: iters left: 4 (77 enodes) 46.416 * * [simplify]: iters left: 3 (131 enodes) 46.459 * * [simplify]: iters left: 2 (250 enodes) 46.562 * * [simplify]: Extracting #0: cost 1 inf + 0 46.562 * * [simplify]: Extracting #1: cost 31 inf + 0 46.563 * * [simplify]: Extracting #2: cost 107 inf + 2 46.564 * * [simplify]: Extracting #3: cost 142 inf + 217 46.565 * * [simplify]: Extracting #4: cost 137 inf + 805 46.567 * * [simplify]: Extracting #5: cost 101 inf + 4990 46.574 * * [simplify]: Extracting #6: cost 46 inf + 25642 46.588 * * [simplify]: Extracting #7: cost 4 inf + 54348 46.603 * * [simplify]: Extracting #8: cost 0 inf + 57095 46.619 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 46.619 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 46.619 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 46.620 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 46.620 * * [simplify]: iters left: 6 (10 enodes) 46.626 * * [simplify]: iters left: 5 (42 enodes) 46.644 * * [simplify]: iters left: 4 (65 enodes) 46.665 * * [simplify]: iters left: 3 (104 enodes) 46.691 * * [simplify]: iters left: 2 (206 enodes) 46.732 * * [simplify]: iters left: 1 (399 enodes) 46.907 * * [simplify]: Extracting #0: cost 1 inf + 0 46.908 * * [simplify]: Extracting #1: cost 6 inf + 0 46.908 * * [simplify]: Extracting #2: cost 44 inf + 0 46.908 * * [simplify]: Extracting #3: cost 133 inf + 84 46.909 * * [simplify]: Extracting #4: cost 186 inf + 719 46.911 * * [simplify]: Extracting #5: cost 133 inf + 8277 46.917 * * [simplify]: Extracting #6: cost 50 inf + 37540 46.931 * * [simplify]: Extracting #7: cost 0 inf + 77842 46.952 * * [simplify]: Extracting #8: cost 0 inf + 74893 46.974 * * [simplify]: Extracting #9: cost 0 inf + 73410 46.996 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 46.996 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 46.996 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 46.997 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.997 * * [simplify]: iters left: 6 (13 enodes) 47.004 * * [simplify]: iters left: 5 (54 enodes) 47.022 * * [simplify]: iters left: 4 (87 enodes) 47.049 * * [simplify]: iters left: 3 (129 enodes) 47.081 * * [simplify]: iters left: 2 (210 enodes) 47.148 * * [simplify]: iters left: 1 (393 enodes) 47.311 * * [simplify]: Extracting #0: cost 1 inf + 0 47.311 * * [simplify]: Extracting #1: cost 4 inf + 0 47.311 * * [simplify]: Extracting #2: cost 8 inf + 0 47.312 * * [simplify]: Extracting #3: cost 34 inf + 1 47.312 * * [simplify]: Extracting #4: cost 113 inf + 43 47.313 * * [simplify]: Extracting #5: cost 161 inf + 301 47.314 * * [simplify]: Extracting #6: cost 123 inf + 5672 47.318 * * [simplify]: Extracting #7: cost 64 inf + 17337 47.326 * * [simplify]: Extracting #8: cost 15 inf + 53224 47.338 * * [simplify]: Extracting #9: cost 0 inf + 65015 47.359 * * [simplify]: Extracting #10: cost 0 inf + 64208 47.384 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 47.384 * [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 k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 47.384 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 47.384 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 47.385 * * [simplify]: iters left: 6 (13 enodes) 47.392 * * [simplify]: iters left: 5 (54 enodes) 47.410 * * [simplify]: iters left: 4 (88 enodes) 47.437 * * [simplify]: iters left: 3 (126 enodes) 47.468 * * [simplify]: iters left: 2 (206 enodes) 47.534 * * [simplify]: iters left: 1 (396 enodes) 47.725 * * [simplify]: Extracting #0: cost 1 inf + 0 47.725 * * [simplify]: Extracting #1: cost 4 inf + 0 47.726 * * [simplify]: Extracting #2: cost 9 inf + 0 47.726 * * [simplify]: Extracting #3: cost 38 inf + 1 47.726 * * [simplify]: Extracting #4: cost 128 inf + 43 47.728 * * [simplify]: Extracting #5: cost 156 inf + 592 47.731 * * [simplify]: Extracting #6: cost 105 inf + 7879 47.743 * * [simplify]: Extracting #7: cost 39 inf + 35445 47.753 * * [simplify]: Extracting #8: cost 0 inf + 67090 47.763 * * [simplify]: Extracting #9: cost 0 inf + 65054 47.774 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 47.774 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 47.774 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 47.774 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 47.774 * * [simplify]: iters left: 6 (12 enodes) 47.778 * * [simplify]: iters left: 5 (51 enodes) 47.787 * * [simplify]: iters left: 4 (86 enodes) 47.802 * * [simplify]: iters left: 3 (133 enodes) 47.830 * * [simplify]: iters left: 2 (224 enodes) 47.878 * * [simplify]: iters left: 1 (420 enodes) 48.051 * * [simplify]: Extracting #0: cost 1 inf + 0 48.051 * * [simplify]: Extracting #1: cost 6 inf + 0 48.052 * * [simplify]: Extracting #2: cost 43 inf + 0 48.052 * * [simplify]: Extracting #3: cost 141 inf + 43 48.054 * * [simplify]: Extracting #4: cost 183 inf + 344 48.057 * * [simplify]: Extracting #5: cost 150 inf + 4066 48.064 * * [simplify]: Extracting #6: cost 80 inf + 19545 48.083 * * [simplify]: Extracting #7: cost 20 inf + 61114 48.095 * * [simplify]: Extracting #8: cost 0 inf + 78849 48.114 * * [simplify]: Extracting #9: cost 0 inf + 77776 48.139 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 48.139 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 48.140 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 48.140 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 48.140 * * [simplify]: iters left: 6 (13 enodes) 48.146 * * [simplify]: iters left: 5 (57 enodes) 48.156 * * [simplify]: iters left: 4 (95 enodes) 48.172 * * [simplify]: iters left: 3 (150 enodes) 48.224 * * [simplify]: iters left: 2 (262 enodes) 48.287 * * [simplify]: iters left: 1 (476 enodes) 48.489 * * [simplify]: Extracting #0: cost 1 inf + 0 48.489 * * [simplify]: Extracting #1: cost 6 inf + 0 48.489 * * [simplify]: Extracting #2: cost 41 inf + 0 48.490 * * [simplify]: Extracting #3: cost 143 inf + 84 48.491 * * [simplify]: Extracting #4: cost 203 inf + 471 48.496 * * [simplify]: Extracting #5: cost 147 inf + 8594 48.509 * * [simplify]: Extracting #6: cost 38 inf + 52505 48.522 * * [simplify]: Extracting #7: cost 3 inf + 78819 48.541 * * [simplify]: Extracting #8: cost 0 inf + 80962 48.566 * * [simplify]: Extracting #9: cost 0 inf + 79264 48.582 * * [simplify]: Extracting #10: cost 0 inf + 78209 48.596 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 48.596 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))))) 48.596 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 48.596 * [simplify]: Simplifying (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))) 48.597 * * [simplify]: iters left: 6 (10 enodes) 48.599 * * [simplify]: iters left: 5 (38 enodes) 48.611 * * [simplify]: iters left: 4 (62 enodes) 48.631 * * [simplify]: iters left: 3 (104 enodes) 48.653 * * [simplify]: iters left: 2 (205 enodes) 48.725 * * [simplify]: iters left: 1 (488 enodes) 49.008 * * [simplify]: Extracting #0: cost 1 inf + 0 49.008 * * [simplify]: Extracting #1: cost 52 inf + 0 49.009 * * [simplify]: Extracting #2: cost 178 inf + 0 49.011 * * [simplify]: Extracting #3: cost 216 inf + 86 49.014 * * [simplify]: Extracting #4: cost 195 inf + 3856 49.019 * * [simplify]: Extracting #5: cost 151 inf + 10592 49.033 * * [simplify]: Extracting #6: cost 68 inf + 77148 49.056 * * [simplify]: Extracting #7: cost 1 inf + 143131 49.092 * * [simplify]: Extracting #8: cost 0 inf + 143119 49.131 * [simplify]: Simplified to (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 49.131 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 49.131 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 49.131 * [simplify]: Simplifying (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 49.131 * * [simplify]: iters left: 6 (13 enodes) 49.138 * * [simplify]: iters left: 5 (51 enodes) 49.156 * * [simplify]: iters left: 4 (86 enodes) 49.179 * * [simplify]: iters left: 3 (131 enodes) 49.204 * * [simplify]: iters left: 2 (227 enodes) 49.277 * * [simplify]: iters left: 1 (479 enodes) 49.532 * * [simplify]: Extracting #0: cost 1 inf + 0 49.532 * * [simplify]: Extracting #1: cost 2 inf + 0 49.532 * * [simplify]: Extracting #2: cost 46 inf + 0 49.532 * * [simplify]: Extracting #3: cost 155 inf + 0 49.533 * * [simplify]: Extracting #4: cost 235 inf + 4 49.534 * * [simplify]: Extracting #5: cost 232 inf + 1879 49.537 * * [simplify]: Extracting #6: cost 175 inf + 11932 49.546 * * [simplify]: Extracting #7: cost 78 inf + 67669 49.572 * * [simplify]: Extracting #8: cost 4 inf + 136345 49.603 * * [simplify]: Extracting #9: cost 0 inf + 136381 49.626 * * [simplify]: Extracting #10: cost 0 inf + 135351 49.656 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 49.656 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 49.656 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 49.656 * [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))))) 49.657 * * [simplify]: iters left: 6 (37 enodes) 49.667 * * [simplify]: iters left: 5 (190 enodes) 49.720 * * [simplify]: Extracting #0: cost 1 inf + 0 49.720 * * [simplify]: Extracting #1: cost 22 inf + 0 49.720 * * [simplify]: Extracting #2: cost 108 inf + 1 49.721 * * [simplify]: Extracting #3: cost 171 inf + 46 49.721 * * [simplify]: Extracting #4: cost 189 inf + 427 49.724 * * [simplify]: Extracting #5: cost 128 inf + 16032 49.741 * * [simplify]: Extracting #6: cost 29 inf + 57153 49.770 * * [simplify]: Extracting #7: cost 4 inf + 75884 49.801 * * [simplify]: Extracting #8: cost 0 inf + 78767 49.822 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 49.822 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (sqrt k))) 49.823 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 49.823 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 49.823 * * [simplify]: iters left: 6 (15 enodes) 49.830 * * [simplify]: iters left: 5 (65 enodes) 49.843 * * [simplify]: iters left: 4 (123 enodes) 49.897 * * [simplify]: iters left: 3 (368 enodes) 50.051 * * [simplify]: Extracting #0: cost 1 inf + 0 50.051 * * [simplify]: Extracting #1: cost 36 inf + 0 50.053 * * [simplify]: Extracting #2: cost 212 inf + 72 50.055 * * [simplify]: Extracting #3: cost 354 inf + 1211 50.064 * * [simplify]: Extracting #4: cost 217 inf + 27594 50.084 * * [simplify]: Extracting #5: cost 38 inf + 75123 50.103 * * [simplify]: Extracting #6: cost 0 inf + 89156 50.131 * * [simplify]: Extracting #7: cost 0 inf + 88700 50.163 * * [simplify]: Extracting #8: cost 0 inf + 88535 50.196 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 50.196 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 50.196 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 50.196 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 50.196 * * [simplify]: iters left: 6 (16 enodes) 50.203 * * [simplify]: iters left: 5 (67 enodes) 50.215 * * [simplify]: iters left: 4 (134 enodes) 50.255 * * [simplify]: iters left: 3 (413 enodes) 50.516 * * [simplify]: Extracting #0: cost 1 inf + 0 50.517 * * [simplify]: Extracting #1: cost 38 inf + 0 50.518 * * [simplify]: Extracting #2: cost 238 inf + 72 50.521 * * [simplify]: Extracting #3: cost 447 inf + 903 50.527 * * [simplify]: Extracting #4: cost 373 inf + 10375 50.550 * * [simplify]: Extracting #5: cost 155 inf + 66841 50.571 * * [simplify]: Extracting #6: cost 13 inf + 117310 50.608 * * [simplify]: Extracting #7: cost 0 inf + 120799 50.631 * * [simplify]: Extracting #8: cost 0 inf + 120798 50.678 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 50.678 * [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))) 50.678 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 50.678 * [simplify]: Simplifying (* 2 (* n PI)) 50.678 * * [simplify]: iters left: 4 (5 enodes) 50.682 * * [simplify]: iters left: 3 (19 enodes) 50.687 * * [simplify]: iters left: 2 (27 enodes) 50.691 * * [simplify]: iters left: 1 (32 enodes) 50.696 * * [simplify]: Extracting #0: cost 1 inf + 0 50.696 * * [simplify]: Extracting #1: cost 8 inf + 0 50.696 * * [simplify]: Extracting #2: cost 7 inf + 45 50.696 * * [simplify]: Extracting #3: cost 0 inf + 421 50.696 * [simplify]: Simplified to (* (* PI n) 2) 50.696 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 50.696 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 50.696 * [simplify]: Simplifying (* 2 (* n PI)) 50.696 * * [simplify]: iters left: 4 (5 enodes) 50.698 * * [simplify]: iters left: 3 (19 enodes) 50.701 * * [simplify]: iters left: 2 (27 enodes) 50.705 * * [simplify]: iters left: 1 (32 enodes) 50.709 * * [simplify]: Extracting #0: cost 1 inf + 0 50.709 * * [simplify]: Extracting #1: cost 8 inf + 0 50.709 * * [simplify]: Extracting #2: cost 7 inf + 45 50.709 * * [simplify]: Extracting #3: cost 0 inf + 421 50.710 * [simplify]: Simplified to (* (* PI n) 2) 50.710 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 50.710 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 50.710 * [simplify]: Simplifying (* 2 (* n PI)) 50.710 * * [simplify]: iters left: 4 (5 enodes) 50.711 * * [simplify]: iters left: 3 (19 enodes) 50.714 * * [simplify]: iters left: 2 (27 enodes) 50.719 * * [simplify]: iters left: 1 (32 enodes) 50.723 * * [simplify]: Extracting #0: cost 1 inf + 0 50.723 * * [simplify]: Extracting #1: cost 8 inf + 0 50.723 * * [simplify]: Extracting #2: cost 7 inf + 45 50.723 * * [simplify]: Extracting #3: cost 0 inf + 421 50.723 * [simplify]: Simplified to (* (* PI n) 2) 50.724 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 50.724 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 50.724 * [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)))))))))))))))))))))) 50.724 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.725 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 50.725 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 50.725 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.725 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 50.726 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 50.726 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 50.726 * * * [progress]: adding candidates to table 52.089 * * [progress]: iteration 2 / 4 52.089 * * * [progress]: picking best candidate 52.126 * * * * [pick]: Picked # 52.126 * * * [progress]: localizing error 52.174 * * * [progress]: generating rewritten candidates 52.174 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 52.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 52.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 52.242 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 52.276 * * * [progress]: generating series expansions 52.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 52.277 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 52.277 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 52.277 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.277 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.277 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.277 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.277 * [taylor]: Taking taylor expansion of 1/2 in k 52.277 * [backup-simplify]: Simplify 1/2 into 1/2 52.277 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.277 * [taylor]: Taking taylor expansion of 1 in k 52.277 * [backup-simplify]: Simplify 1 into 1 52.277 * [taylor]: Taking taylor expansion of k in k 52.277 * [backup-simplify]: Simplify 0 into 0 52.277 * [backup-simplify]: Simplify 1 into 1 52.277 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.277 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.277 * [taylor]: Taking taylor expansion of 2 in k 52.277 * [backup-simplify]: Simplify 2 into 2 52.277 * [taylor]: Taking taylor expansion of (* n PI) in k 52.277 * [taylor]: Taking taylor expansion of n in k 52.277 * [backup-simplify]: Simplify n into n 52.277 * [taylor]: Taking taylor expansion of PI in k 52.277 * [backup-simplify]: Simplify PI into PI 52.277 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.277 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.277 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.277 * [backup-simplify]: Simplify (- 0) into 0 52.278 * [backup-simplify]: Simplify (+ 1 0) into 1 52.278 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.278 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.278 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.278 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.278 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.278 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.278 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.278 * [taylor]: Taking taylor expansion of 1/2 in n 52.278 * [backup-simplify]: Simplify 1/2 into 1/2 52.278 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.278 * [taylor]: Taking taylor expansion of 1 in n 52.278 * [backup-simplify]: Simplify 1 into 1 52.278 * [taylor]: Taking taylor expansion of k in n 52.278 * [backup-simplify]: Simplify k into k 52.278 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.278 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.278 * [taylor]: Taking taylor expansion of 2 in n 52.278 * [backup-simplify]: Simplify 2 into 2 52.278 * [taylor]: Taking taylor expansion of (* n PI) in n 52.278 * [taylor]: Taking taylor expansion of n in n 52.278 * [backup-simplify]: Simplify 0 into 0 52.278 * [backup-simplify]: Simplify 1 into 1 52.278 * [taylor]: Taking taylor expansion of PI in n 52.278 * [backup-simplify]: Simplify PI into PI 52.279 * [backup-simplify]: Simplify (* 0 PI) into 0 52.279 * [backup-simplify]: Simplify (* 2 0) into 0 52.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.281 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.282 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.282 * [backup-simplify]: Simplify (- k) into (- k) 52.282 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.282 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.284 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.285 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.285 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.285 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.285 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.285 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.285 * [taylor]: Taking taylor expansion of 1/2 in n 52.285 * [backup-simplify]: Simplify 1/2 into 1/2 52.285 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.285 * [taylor]: Taking taylor expansion of 1 in n 52.285 * [backup-simplify]: Simplify 1 into 1 52.285 * [taylor]: Taking taylor expansion of k in n 52.285 * [backup-simplify]: Simplify k into k 52.285 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.285 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.285 * [taylor]: Taking taylor expansion of 2 in n 52.285 * [backup-simplify]: Simplify 2 into 2 52.285 * [taylor]: Taking taylor expansion of (* n PI) in n 52.285 * [taylor]: Taking taylor expansion of n in n 52.285 * [backup-simplify]: Simplify 0 into 0 52.285 * [backup-simplify]: Simplify 1 into 1 52.285 * [taylor]: Taking taylor expansion of PI in n 52.285 * [backup-simplify]: Simplify PI into PI 52.286 * [backup-simplify]: Simplify (* 0 PI) into 0 52.286 * [backup-simplify]: Simplify (* 2 0) into 0 52.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.289 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.290 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.290 * [backup-simplify]: Simplify (- k) into (- k) 52.291 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.291 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.293 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.294 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.294 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.294 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.294 * [taylor]: Taking taylor expansion of 1/2 in k 52.294 * [backup-simplify]: Simplify 1/2 into 1/2 52.294 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.294 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.295 * [taylor]: Taking taylor expansion of 1 in k 52.295 * [backup-simplify]: Simplify 1 into 1 52.295 * [taylor]: Taking taylor expansion of k in k 52.295 * [backup-simplify]: Simplify 0 into 0 52.295 * [backup-simplify]: Simplify 1 into 1 52.295 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.295 * [taylor]: Taking taylor expansion of (log n) in k 52.295 * [taylor]: Taking taylor expansion of n in k 52.295 * [backup-simplify]: Simplify n into n 52.295 * [backup-simplify]: Simplify (log n) into (log n) 52.295 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.295 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.295 * [taylor]: Taking taylor expansion of 2 in k 52.295 * [backup-simplify]: Simplify 2 into 2 52.295 * [taylor]: Taking taylor expansion of PI in k 52.295 * [backup-simplify]: Simplify PI into PI 52.295 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.296 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.297 * [backup-simplify]: Simplify (- 0) into 0 52.297 * [backup-simplify]: Simplify (+ 1 0) into 1 52.298 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.299 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.300 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 52.300 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.301 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.304 * [backup-simplify]: Simplify (- 0) into 0 52.304 * [backup-simplify]: Simplify (+ 0 0) into 0 52.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 52.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.306 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.307 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.307 * [taylor]: Taking taylor expansion of 0 in k 52.307 * [backup-simplify]: Simplify 0 into 0 52.307 * [backup-simplify]: Simplify 0 into 0 52.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.308 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.309 * [backup-simplify]: Simplify (+ 0 0) into 0 52.309 * [backup-simplify]: Simplify (- 1) into -1 52.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.310 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.311 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 52.313 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.316 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.319 * [backup-simplify]: Simplify (- 0) into 0 52.319 * [backup-simplify]: Simplify (+ 0 0) into 0 52.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.322 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.323 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.323 * [taylor]: Taking taylor expansion of 0 in k 52.323 * [backup-simplify]: Simplify 0 into 0 52.323 * [backup-simplify]: Simplify 0 into 0 52.323 * [backup-simplify]: Simplify 0 into 0 52.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.332 * [backup-simplify]: Simplify (+ 0 0) into 0 52.333 * [backup-simplify]: Simplify (- 0) into 0 52.333 * [backup-simplify]: Simplify (+ 0 0) into 0 52.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.341 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 52.346 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 52.355 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 52.356 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 52.356 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 52.356 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.356 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.356 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.356 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.356 * [taylor]: Taking taylor expansion of 1/2 in k 52.356 * [backup-simplify]: Simplify 1/2 into 1/2 52.356 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.356 * [taylor]: Taking taylor expansion of 1 in k 52.356 * [backup-simplify]: Simplify 1 into 1 52.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.356 * [taylor]: Taking taylor expansion of k in k 52.356 * [backup-simplify]: Simplify 0 into 0 52.356 * [backup-simplify]: Simplify 1 into 1 52.357 * [backup-simplify]: Simplify (/ 1 1) into 1 52.357 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.357 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.357 * [taylor]: Taking taylor expansion of 2 in k 52.357 * [backup-simplify]: Simplify 2 into 2 52.357 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.357 * [taylor]: Taking taylor expansion of PI in k 52.357 * [backup-simplify]: Simplify PI into PI 52.357 * [taylor]: Taking taylor expansion of n in k 52.357 * [backup-simplify]: Simplify n into n 52.357 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.357 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.357 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.357 * [backup-simplify]: Simplify (- 1) into -1 52.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.358 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.358 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.359 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.359 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.359 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.359 * [taylor]: Taking taylor expansion of 1/2 in n 52.359 * [backup-simplify]: Simplify 1/2 into 1/2 52.359 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.359 * [taylor]: Taking taylor expansion of 1 in n 52.359 * [backup-simplify]: Simplify 1 into 1 52.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.359 * [taylor]: Taking taylor expansion of k in n 52.359 * [backup-simplify]: Simplify k into k 52.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.359 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.359 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.359 * [taylor]: Taking taylor expansion of 2 in n 52.359 * [backup-simplify]: Simplify 2 into 2 52.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.359 * [taylor]: Taking taylor expansion of PI in n 52.359 * [backup-simplify]: Simplify PI into PI 52.359 * [taylor]: Taking taylor expansion of n in n 52.359 * [backup-simplify]: Simplify 0 into 0 52.359 * [backup-simplify]: Simplify 1 into 1 52.360 * [backup-simplify]: Simplify (/ PI 1) into PI 52.360 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.361 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.362 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.362 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.362 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.364 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.365 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.365 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.365 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.365 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.365 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.365 * [taylor]: Taking taylor expansion of 1/2 in n 52.365 * [backup-simplify]: Simplify 1/2 into 1/2 52.365 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.365 * [taylor]: Taking taylor expansion of 1 in n 52.365 * [backup-simplify]: Simplify 1 into 1 52.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.365 * [taylor]: Taking taylor expansion of k in n 52.366 * [backup-simplify]: Simplify k into k 52.366 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.366 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.366 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.366 * [taylor]: Taking taylor expansion of 2 in n 52.366 * [backup-simplify]: Simplify 2 into 2 52.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.366 * [taylor]: Taking taylor expansion of PI in n 52.366 * [backup-simplify]: Simplify PI into PI 52.366 * [taylor]: Taking taylor expansion of n in n 52.366 * [backup-simplify]: Simplify 0 into 0 52.366 * [backup-simplify]: Simplify 1 into 1 52.366 * [backup-simplify]: Simplify (/ PI 1) into PI 52.367 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.368 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.368 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.368 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.368 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.370 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.371 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.372 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.372 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.372 * [taylor]: Taking taylor expansion of 1/2 in k 52.372 * [backup-simplify]: Simplify 1/2 into 1/2 52.372 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.372 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.372 * [taylor]: Taking taylor expansion of 1 in k 52.372 * [backup-simplify]: Simplify 1 into 1 52.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.372 * [taylor]: Taking taylor expansion of k in k 52.372 * [backup-simplify]: Simplify 0 into 0 52.372 * [backup-simplify]: Simplify 1 into 1 52.372 * [backup-simplify]: Simplify (/ 1 1) into 1 52.372 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.372 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.372 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.372 * [taylor]: Taking taylor expansion of 2 in k 52.372 * [backup-simplify]: Simplify 2 into 2 52.372 * [taylor]: Taking taylor expansion of PI in k 52.373 * [backup-simplify]: Simplify PI into PI 52.373 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.374 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.374 * [taylor]: Taking taylor expansion of (log n) in k 52.374 * [taylor]: Taking taylor expansion of n in k 52.374 * [backup-simplify]: Simplify n into n 52.374 * [backup-simplify]: Simplify (log n) into (log n) 52.374 * [backup-simplify]: Simplify (- 1) into -1 52.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.375 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.376 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.377 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.378 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 52.379 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.380 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.384 * [backup-simplify]: Simplify (- 0) into 0 52.384 * [backup-simplify]: Simplify (+ 0 0) into 0 52.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 52.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.387 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.389 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.389 * [taylor]: Taking taylor expansion of 0 in k 52.389 * [backup-simplify]: Simplify 0 into 0 52.389 * [backup-simplify]: Simplify 0 into 0 52.389 * [backup-simplify]: Simplify 0 into 0 52.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.396 * [backup-simplify]: Simplify (- 0) into 0 52.396 * [backup-simplify]: Simplify (+ 0 0) into 0 52.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.400 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.402 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.402 * [taylor]: Taking taylor expansion of 0 in k 52.402 * [backup-simplify]: Simplify 0 into 0 52.402 * [backup-simplify]: Simplify 0 into 0 52.402 * [backup-simplify]: Simplify 0 into 0 52.402 * [backup-simplify]: Simplify 0 into 0 52.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.410 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.411 * [backup-simplify]: Simplify (- 0) into 0 52.411 * [backup-simplify]: Simplify (+ 0 0) into 0 52.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.419 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.419 * [taylor]: Taking taylor expansion of 0 in k 52.419 * [backup-simplify]: Simplify 0 into 0 52.419 * [backup-simplify]: Simplify 0 into 0 52.420 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 52.421 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 52.421 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 52.421 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.421 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.421 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.421 * [taylor]: Taking taylor expansion of 1/2 in k 52.421 * [backup-simplify]: Simplify 1/2 into 1/2 52.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.421 * [taylor]: Taking taylor expansion of k in k 52.421 * [backup-simplify]: Simplify 0 into 0 52.421 * [backup-simplify]: Simplify 1 into 1 52.422 * [backup-simplify]: Simplify (/ 1 1) into 1 52.422 * [taylor]: Taking taylor expansion of 1 in k 52.422 * [backup-simplify]: Simplify 1 into 1 52.422 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.422 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.422 * [taylor]: Taking taylor expansion of -2 in k 52.422 * [backup-simplify]: Simplify -2 into -2 52.422 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.422 * [taylor]: Taking taylor expansion of PI in k 52.422 * [backup-simplify]: Simplify PI into PI 52.422 * [taylor]: Taking taylor expansion of n in k 52.422 * [backup-simplify]: Simplify n into n 52.422 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.422 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.422 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.423 * [backup-simplify]: Simplify (+ 1 0) into 1 52.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.423 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.423 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.423 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.423 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.423 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.424 * [taylor]: Taking taylor expansion of 1/2 in n 52.424 * [backup-simplify]: Simplify 1/2 into 1/2 52.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.424 * [taylor]: Taking taylor expansion of k in n 52.424 * [backup-simplify]: Simplify k into k 52.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.424 * [taylor]: Taking taylor expansion of 1 in n 52.424 * [backup-simplify]: Simplify 1 into 1 52.424 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.424 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.424 * [taylor]: Taking taylor expansion of -2 in n 52.424 * [backup-simplify]: Simplify -2 into -2 52.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.424 * [taylor]: Taking taylor expansion of PI in n 52.424 * [backup-simplify]: Simplify PI into PI 52.424 * [taylor]: Taking taylor expansion of n in n 52.424 * [backup-simplify]: Simplify 0 into 0 52.424 * [backup-simplify]: Simplify 1 into 1 52.424 * [backup-simplify]: Simplify (/ PI 1) into PI 52.425 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.426 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.426 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.426 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.429 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.430 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.430 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.430 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.430 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.430 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.430 * [taylor]: Taking taylor expansion of 1/2 in n 52.430 * [backup-simplify]: Simplify 1/2 into 1/2 52.430 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.430 * [taylor]: Taking taylor expansion of k in n 52.430 * [backup-simplify]: Simplify k into k 52.430 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.430 * [taylor]: Taking taylor expansion of 1 in n 52.430 * [backup-simplify]: Simplify 1 into 1 52.430 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.430 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.430 * [taylor]: Taking taylor expansion of -2 in n 52.430 * [backup-simplify]: Simplify -2 into -2 52.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.430 * [taylor]: Taking taylor expansion of PI in n 52.430 * [backup-simplify]: Simplify PI into PI 52.430 * [taylor]: Taking taylor expansion of n in n 52.431 * [backup-simplify]: Simplify 0 into 0 52.431 * [backup-simplify]: Simplify 1 into 1 52.431 * [backup-simplify]: Simplify (/ PI 1) into PI 52.432 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.433 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.433 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.433 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.435 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.436 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.436 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.436 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.436 * [taylor]: Taking taylor expansion of 1/2 in k 52.437 * [backup-simplify]: Simplify 1/2 into 1/2 52.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.437 * [taylor]: Taking taylor expansion of k in k 52.437 * [backup-simplify]: Simplify 0 into 0 52.437 * [backup-simplify]: Simplify 1 into 1 52.437 * [backup-simplify]: Simplify (/ 1 1) into 1 52.437 * [taylor]: Taking taylor expansion of 1 in k 52.437 * [backup-simplify]: Simplify 1 into 1 52.437 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.437 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.437 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.437 * [taylor]: Taking taylor expansion of -2 in k 52.437 * [backup-simplify]: Simplify -2 into -2 52.437 * [taylor]: Taking taylor expansion of PI in k 52.437 * [backup-simplify]: Simplify PI into PI 52.438 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.439 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.439 * [taylor]: Taking taylor expansion of (log n) in k 52.439 * [taylor]: Taking taylor expansion of n in k 52.439 * [backup-simplify]: Simplify n into n 52.439 * [backup-simplify]: Simplify (log n) into (log n) 52.439 * [backup-simplify]: Simplify (+ 1 0) into 1 52.439 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.440 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.441 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.442 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 52.443 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.445 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.446 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.448 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.449 * [backup-simplify]: Simplify (+ 0 0) into 0 52.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 52.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.452 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.454 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.454 * [taylor]: Taking taylor expansion of 0 in k 52.454 * [backup-simplify]: Simplify 0 into 0 52.454 * [backup-simplify]: Simplify 0 into 0 52.454 * [backup-simplify]: Simplify 0 into 0 52.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.456 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 52.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.460 * [backup-simplify]: Simplify (+ 0 0) into 0 52.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.464 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.466 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.466 * [taylor]: Taking taylor expansion of 0 in k 52.466 * [backup-simplify]: Simplify 0 into 0 52.466 * [backup-simplify]: Simplify 0 into 0 52.466 * [backup-simplify]: Simplify 0 into 0 52.466 * [backup-simplify]: Simplify 0 into 0 52.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.470 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.476 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 52.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.477 * [backup-simplify]: Simplify (+ 0 0) into 0 52.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 52.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.482 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 52.484 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.484 * [taylor]: Taking taylor expansion of 0 in k 52.484 * [backup-simplify]: Simplify 0 into 0 52.484 * [backup-simplify]: Simplify 0 into 0 52.485 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 52.486 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 52.486 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 52.486 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 52.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.486 * [taylor]: Taking taylor expansion of k in k 52.486 * [backup-simplify]: Simplify 0 into 0 52.486 * [backup-simplify]: Simplify 1 into 1 52.486 * [backup-simplify]: Simplify (/ 1 1) into 1 52.487 * [backup-simplify]: Simplify (sqrt 0) into 0 52.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.488 * [taylor]: Taking taylor expansion of k in k 52.488 * [backup-simplify]: Simplify 0 into 0 52.488 * [backup-simplify]: Simplify 1 into 1 52.489 * [backup-simplify]: Simplify (/ 1 1) into 1 52.489 * [backup-simplify]: Simplify (sqrt 0) into 0 52.490 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.490 * [backup-simplify]: Simplify 0 into 0 52.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.494 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.499 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.499 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 52.499 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 52.499 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 52.499 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.499 * [taylor]: Taking taylor expansion of k in k 52.499 * [backup-simplify]: Simplify 0 into 0 52.499 * [backup-simplify]: Simplify 1 into 1 52.500 * [backup-simplify]: Simplify (sqrt 0) into 0 52.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.501 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.501 * [taylor]: Taking taylor expansion of k in k 52.501 * [backup-simplify]: Simplify 0 into 0 52.501 * [backup-simplify]: Simplify 1 into 1 52.502 * [backup-simplify]: Simplify (sqrt 0) into 0 52.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.503 * [backup-simplify]: Simplify 0 into 0 52.503 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.506 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.510 * [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)))))))) 52.511 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 52.511 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 52.511 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 52.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.511 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.511 * [taylor]: Taking taylor expansion of -1 in k 52.511 * [backup-simplify]: Simplify -1 into -1 52.511 * [taylor]: Taking taylor expansion of k in k 52.511 * [backup-simplify]: Simplify 0 into 0 52.511 * [backup-simplify]: Simplify 1 into 1 52.512 * [backup-simplify]: Simplify (/ -1 1) into -1 52.512 * [backup-simplify]: Simplify (sqrt 0) into 0 52.513 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.514 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 52.514 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 52.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.514 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.514 * [taylor]: Taking taylor expansion of -1 in k 52.514 * [backup-simplify]: Simplify -1 into -1 52.514 * [taylor]: Taking taylor expansion of k in k 52.514 * [backup-simplify]: Simplify 0 into 0 52.514 * [backup-simplify]: Simplify 1 into 1 52.515 * [backup-simplify]: Simplify (/ -1 1) into -1 52.515 * [backup-simplify]: Simplify (sqrt 0) into 0 52.516 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.517 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 52.517 * [backup-simplify]: Simplify +nan.0 into +nan.0 52.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 52.520 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.522 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 52.523 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 52.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.532 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 52.533 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 52.534 * [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))))) 52.534 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 52.534 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 52.534 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 52.534 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.534 * [taylor]: Taking taylor expansion of 2 in n 52.534 * [backup-simplify]: Simplify 2 into 2 52.534 * [taylor]: Taking taylor expansion of (* n PI) in n 52.534 * [taylor]: Taking taylor expansion of n in n 52.534 * [backup-simplify]: Simplify 0 into 0 52.534 * [backup-simplify]: Simplify 1 into 1 52.534 * [taylor]: Taking taylor expansion of PI in n 52.534 * [backup-simplify]: Simplify PI into PI 52.534 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.535 * [taylor]: Taking taylor expansion of 2 in n 52.535 * [backup-simplify]: Simplify 2 into 2 52.535 * [taylor]: Taking taylor expansion of (* n PI) in n 52.535 * [taylor]: Taking taylor expansion of n in n 52.535 * [backup-simplify]: Simplify 0 into 0 52.535 * [backup-simplify]: Simplify 1 into 1 52.535 * [taylor]: Taking taylor expansion of PI in n 52.535 * [backup-simplify]: Simplify PI into PI 52.535 * [backup-simplify]: Simplify (* 0 PI) into 0 52.536 * [backup-simplify]: Simplify (* 2 0) into 0 52.536 * [backup-simplify]: Simplify 0 into 0 52.537 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.539 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.539 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.541 * [backup-simplify]: Simplify 0 into 0 52.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.543 * [backup-simplify]: Simplify 0 into 0 52.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 52.546 * [backup-simplify]: Simplify 0 into 0 52.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 52.549 * [backup-simplify]: Simplify 0 into 0 52.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 52.552 * [backup-simplify]: Simplify 0 into 0 52.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 52.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 52.556 * [backup-simplify]: Simplify 0 into 0 52.557 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 52.557 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 52.557 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 52.557 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.557 * [taylor]: Taking taylor expansion of 2 in n 52.557 * [backup-simplify]: Simplify 2 into 2 52.557 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.557 * [taylor]: Taking taylor expansion of PI in n 52.558 * [backup-simplify]: Simplify PI into PI 52.558 * [taylor]: Taking taylor expansion of n in n 52.558 * [backup-simplify]: Simplify 0 into 0 52.558 * [backup-simplify]: Simplify 1 into 1 52.558 * [backup-simplify]: Simplify (/ PI 1) into PI 52.558 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.558 * [taylor]: Taking taylor expansion of 2 in n 52.558 * [backup-simplify]: Simplify 2 into 2 52.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.558 * [taylor]: Taking taylor expansion of PI in n 52.558 * [backup-simplify]: Simplify PI into PI 52.558 * [taylor]: Taking taylor expansion of n in n 52.558 * [backup-simplify]: Simplify 0 into 0 52.558 * [backup-simplify]: Simplify 1 into 1 52.559 * [backup-simplify]: Simplify (/ PI 1) into PI 52.559 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.560 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.561 * [backup-simplify]: Simplify 0 into 0 52.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.563 * [backup-simplify]: Simplify 0 into 0 52.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.566 * [backup-simplify]: Simplify 0 into 0 52.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.568 * [backup-simplify]: Simplify 0 into 0 52.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.571 * [backup-simplify]: Simplify 0 into 0 52.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.574 * [backup-simplify]: Simplify 0 into 0 52.574 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 52.575 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 52.575 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 52.575 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.575 * [taylor]: Taking taylor expansion of -2 in n 52.575 * [backup-simplify]: Simplify -2 into -2 52.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.575 * [taylor]: Taking taylor expansion of PI in n 52.575 * [backup-simplify]: Simplify PI into PI 52.575 * [taylor]: Taking taylor expansion of n in n 52.575 * [backup-simplify]: Simplify 0 into 0 52.575 * [backup-simplify]: Simplify 1 into 1 52.576 * [backup-simplify]: Simplify (/ PI 1) into PI 52.576 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.576 * [taylor]: Taking taylor expansion of -2 in n 52.576 * [backup-simplify]: Simplify -2 into -2 52.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.576 * [taylor]: Taking taylor expansion of PI in n 52.576 * [backup-simplify]: Simplify PI into PI 52.576 * [taylor]: Taking taylor expansion of n in n 52.576 * [backup-simplify]: Simplify 0 into 0 52.576 * [backup-simplify]: Simplify 1 into 1 52.576 * [backup-simplify]: Simplify (/ PI 1) into PI 52.577 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.577 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.579 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.579 * [backup-simplify]: Simplify 0 into 0 52.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.581 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.581 * [backup-simplify]: Simplify 0 into 0 52.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.583 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.583 * [backup-simplify]: Simplify 0 into 0 52.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.584 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.584 * [backup-simplify]: Simplify 0 into 0 52.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.586 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 52.586 * [backup-simplify]: Simplify 0 into 0 52.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.587 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 52.588 * [backup-simplify]: Simplify 0 into 0 52.588 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 52.588 * * * * [progress]: [ 4 / 4 ] generating series at (2) 52.588 * [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))) 52.588 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 52.588 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 52.588 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 52.588 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 52.588 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 52.588 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 52.589 * [taylor]: Taking taylor expansion of 1/2 in k 52.589 * [backup-simplify]: Simplify 1/2 into 1/2 52.589 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.589 * [taylor]: Taking taylor expansion of 1 in k 52.589 * [backup-simplify]: Simplify 1 into 1 52.589 * [taylor]: Taking taylor expansion of k in k 52.589 * [backup-simplify]: Simplify 0 into 0 52.589 * [backup-simplify]: Simplify 1 into 1 52.589 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 52.589 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 52.589 * [taylor]: Taking taylor expansion of 2 in k 52.589 * [backup-simplify]: Simplify 2 into 2 52.589 * [taylor]: Taking taylor expansion of (* n PI) in k 52.589 * [taylor]: Taking taylor expansion of n in k 52.589 * [backup-simplify]: Simplify n into n 52.589 * [taylor]: Taking taylor expansion of PI in k 52.589 * [backup-simplify]: Simplify PI into PI 52.589 * [backup-simplify]: Simplify (* n PI) into (* n PI) 52.589 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 52.589 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 52.589 * [backup-simplify]: Simplify (- 0) into 0 52.589 * [backup-simplify]: Simplify (+ 1 0) into 1 52.590 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.590 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 52.590 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 52.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.590 * [taylor]: Taking taylor expansion of k in k 52.590 * [backup-simplify]: Simplify 0 into 0 52.590 * [backup-simplify]: Simplify 1 into 1 52.590 * [backup-simplify]: Simplify (/ 1 1) into 1 52.590 * [backup-simplify]: Simplify (sqrt 0) into 0 52.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.591 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 52.591 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.591 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.592 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.592 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.592 * [taylor]: Taking taylor expansion of 1/2 in n 52.592 * [backup-simplify]: Simplify 1/2 into 1/2 52.592 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.592 * [taylor]: Taking taylor expansion of 1 in n 52.592 * [backup-simplify]: Simplify 1 into 1 52.592 * [taylor]: Taking taylor expansion of k in n 52.592 * [backup-simplify]: Simplify k into k 52.592 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.592 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.592 * [taylor]: Taking taylor expansion of 2 in n 52.592 * [backup-simplify]: Simplify 2 into 2 52.592 * [taylor]: Taking taylor expansion of (* n PI) in n 52.592 * [taylor]: Taking taylor expansion of n in n 52.592 * [backup-simplify]: Simplify 0 into 0 52.592 * [backup-simplify]: Simplify 1 into 1 52.592 * [taylor]: Taking taylor expansion of PI in n 52.592 * [backup-simplify]: Simplify PI into PI 52.592 * [backup-simplify]: Simplify (* 0 PI) into 0 52.592 * [backup-simplify]: Simplify (* 2 0) into 0 52.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.594 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.595 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.595 * [backup-simplify]: Simplify (- k) into (- k) 52.595 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.595 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.596 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.597 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.597 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 52.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.597 * [taylor]: Taking taylor expansion of k in n 52.597 * [backup-simplify]: Simplify k into k 52.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.598 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 52.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 52.598 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 52.598 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 52.598 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 52.598 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 52.598 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 52.598 * [taylor]: Taking taylor expansion of 1/2 in n 52.598 * [backup-simplify]: Simplify 1/2 into 1/2 52.598 * [taylor]: Taking taylor expansion of (- 1 k) in n 52.598 * [taylor]: Taking taylor expansion of 1 in n 52.598 * [backup-simplify]: Simplify 1 into 1 52.598 * [taylor]: Taking taylor expansion of k in n 52.598 * [backup-simplify]: Simplify k into k 52.598 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 52.598 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 52.598 * [taylor]: Taking taylor expansion of 2 in n 52.598 * [backup-simplify]: Simplify 2 into 2 52.598 * [taylor]: Taking taylor expansion of (* n PI) in n 52.598 * [taylor]: Taking taylor expansion of n in n 52.598 * [backup-simplify]: Simplify 0 into 0 52.598 * [backup-simplify]: Simplify 1 into 1 52.598 * [taylor]: Taking taylor expansion of PI in n 52.598 * [backup-simplify]: Simplify PI into PI 52.598 * [backup-simplify]: Simplify (* 0 PI) into 0 52.599 * [backup-simplify]: Simplify (* 2 0) into 0 52.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 52.600 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 52.603 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.603 * [backup-simplify]: Simplify (- k) into (- k) 52.603 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 52.603 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 52.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.605 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 52.605 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 52.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 52.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.605 * [taylor]: Taking taylor expansion of k in n 52.606 * [backup-simplify]: Simplify k into k 52.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.606 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 52.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 52.606 * [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))) 52.607 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 52.607 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 52.607 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 52.607 * [taylor]: Taking taylor expansion of 1/2 in k 52.607 * [backup-simplify]: Simplify 1/2 into 1/2 52.607 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 52.607 * [taylor]: Taking taylor expansion of (- 1 k) in k 52.607 * [taylor]: Taking taylor expansion of 1 in k 52.607 * [backup-simplify]: Simplify 1 into 1 52.607 * [taylor]: Taking taylor expansion of k in k 52.607 * [backup-simplify]: Simplify 0 into 0 52.607 * [backup-simplify]: Simplify 1 into 1 52.607 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 52.607 * [taylor]: Taking taylor expansion of (log n) in k 52.607 * [taylor]: Taking taylor expansion of n in k 52.607 * [backup-simplify]: Simplify n into n 52.607 * [backup-simplify]: Simplify (log n) into (log n) 52.607 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.607 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.607 * [taylor]: Taking taylor expansion of 2 in k 52.607 * [backup-simplify]: Simplify 2 into 2 52.607 * [taylor]: Taking taylor expansion of PI in k 52.607 * [backup-simplify]: Simplify PI into PI 52.607 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.608 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.608 * [backup-simplify]: Simplify (- 0) into 0 52.608 * [backup-simplify]: Simplify (+ 1 0) into 1 52.609 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.610 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 52.610 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 52.611 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 52.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 52.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.611 * [taylor]: Taking taylor expansion of k in k 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [backup-simplify]: Simplify 1 into 1 52.611 * [backup-simplify]: Simplify (/ 1 1) into 1 52.612 * [backup-simplify]: Simplify (sqrt 0) into 0 52.613 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.614 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 52.614 * [backup-simplify]: Simplify 0 into 0 52.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 52.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 52.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.618 * [backup-simplify]: Simplify (- 0) into 0 52.619 * [backup-simplify]: Simplify (+ 0 0) into 0 52.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 52.620 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.622 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 52.623 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.625 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 52.625 * [taylor]: Taking taylor expansion of 0 in k 52.625 * [backup-simplify]: Simplify 0 into 0 52.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 52.626 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.628 * [backup-simplify]: Simplify (+ 0 0) into 0 52.629 * [backup-simplify]: Simplify (- 1) into -1 52.629 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.631 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 52.633 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 52.636 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.640 * [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))))))) 52.641 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 52.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 52.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 52.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 52.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.647 * [backup-simplify]: Simplify (- 0) into 0 52.648 * [backup-simplify]: Simplify (+ 0 0) into 0 52.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 52.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.650 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.651 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.652 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 52.652 * [taylor]: Taking taylor expansion of 0 in k 52.652 * [backup-simplify]: Simplify 0 into 0 52.652 * [backup-simplify]: Simplify 0 into 0 52.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.655 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 52.656 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.659 * [backup-simplify]: Simplify (+ 0 0) into 0 52.659 * [backup-simplify]: Simplify (- 0) into 0 52.659 * [backup-simplify]: Simplify (+ 0 0) into 0 52.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 52.664 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 52.669 * [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)))))))) 52.672 * [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)))))))) 52.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 52.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 52.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 52.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.677 * [backup-simplify]: Simplify (- 0) into 0 52.677 * [backup-simplify]: Simplify (+ 0 0) into 0 52.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 52.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 52.680 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.682 * [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 52.683 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 52.683 * [taylor]: Taking taylor expansion of 0 in k 52.683 * [backup-simplify]: Simplify 0 into 0 52.683 * [backup-simplify]: Simplify 0 into 0 52.683 * [backup-simplify]: Simplify 0 into 0 52.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.691 * [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 52.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.698 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.699 * [backup-simplify]: Simplify (+ 0 0) into 0 52.699 * [backup-simplify]: Simplify (- 0) into 0 52.700 * [backup-simplify]: Simplify (+ 0 0) into 0 52.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 52.711 * [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))))))) 52.730 * [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)))))))))))))) 52.741 * [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)))))))))))))) 52.759 * [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)))))))))))))))))))))) 52.760 * [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)) 52.760 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 52.760 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 52.760 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 52.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 52.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 52.761 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 52.761 * [taylor]: Taking taylor expansion of 1/2 in k 52.761 * [backup-simplify]: Simplify 1/2 into 1/2 52.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.761 * [taylor]: Taking taylor expansion of 1 in k 52.761 * [backup-simplify]: Simplify 1 into 1 52.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.761 * [taylor]: Taking taylor expansion of k in k 52.761 * [backup-simplify]: Simplify 0 into 0 52.761 * [backup-simplify]: Simplify 1 into 1 52.761 * [backup-simplify]: Simplify (/ 1 1) into 1 52.761 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 52.761 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 52.761 * [taylor]: Taking taylor expansion of 2 in k 52.761 * [backup-simplify]: Simplify 2 into 2 52.761 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.761 * [taylor]: Taking taylor expansion of PI in k 52.761 * [backup-simplify]: Simplify PI into PI 52.761 * [taylor]: Taking taylor expansion of n in k 52.761 * [backup-simplify]: Simplify n into n 52.762 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.762 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 52.762 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 52.762 * [backup-simplify]: Simplify (- 1) into -1 52.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.763 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 52.763 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 52.763 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 52.763 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.764 * [taylor]: Taking taylor expansion of k in k 52.764 * [backup-simplify]: Simplify 0 into 0 52.764 * [backup-simplify]: Simplify 1 into 1 52.764 * [backup-simplify]: Simplify (sqrt 0) into 0 52.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.766 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 52.766 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.766 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.766 * [taylor]: Taking taylor expansion of 1/2 in n 52.766 * [backup-simplify]: Simplify 1/2 into 1/2 52.766 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.766 * [taylor]: Taking taylor expansion of 1 in n 52.766 * [backup-simplify]: Simplify 1 into 1 52.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.766 * [taylor]: Taking taylor expansion of k in n 52.766 * [backup-simplify]: Simplify k into k 52.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.766 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.766 * [taylor]: Taking taylor expansion of 2 in n 52.766 * [backup-simplify]: Simplify 2 into 2 52.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.766 * [taylor]: Taking taylor expansion of PI in n 52.766 * [backup-simplify]: Simplify PI into PI 52.766 * [taylor]: Taking taylor expansion of n in n 52.766 * [backup-simplify]: Simplify 0 into 0 52.766 * [backup-simplify]: Simplify 1 into 1 52.767 * [backup-simplify]: Simplify (/ PI 1) into PI 52.767 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.768 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.768 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.768 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.768 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.769 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.770 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.770 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.770 * [taylor]: Taking taylor expansion of (sqrt k) in n 52.770 * [taylor]: Taking taylor expansion of k in n 52.770 * [backup-simplify]: Simplify k into k 52.770 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 52.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 52.771 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 52.771 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 52.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 52.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 52.771 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 52.771 * [taylor]: Taking taylor expansion of 1/2 in n 52.771 * [backup-simplify]: Simplify 1/2 into 1/2 52.771 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 52.771 * [taylor]: Taking taylor expansion of 1 in n 52.771 * [backup-simplify]: Simplify 1 into 1 52.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.771 * [taylor]: Taking taylor expansion of k in n 52.771 * [backup-simplify]: Simplify k into k 52.771 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.771 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 52.771 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 52.771 * [taylor]: Taking taylor expansion of 2 in n 52.771 * [backup-simplify]: Simplify 2 into 2 52.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.771 * [taylor]: Taking taylor expansion of PI in n 52.771 * [backup-simplify]: Simplify PI into PI 52.771 * [taylor]: Taking taylor expansion of n in n 52.771 * [backup-simplify]: Simplify 0 into 0 52.771 * [backup-simplify]: Simplify 1 into 1 52.771 * [backup-simplify]: Simplify (/ PI 1) into PI 52.772 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.772 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.772 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 52.772 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 52.772 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 52.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.774 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 52.775 * [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))))) 52.775 * [taylor]: Taking taylor expansion of (sqrt k) in n 52.775 * [taylor]: Taking taylor expansion of k in n 52.775 * [backup-simplify]: Simplify k into k 52.775 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 52.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 52.776 * [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)) 52.776 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 52.776 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 52.776 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 52.776 * [taylor]: Taking taylor expansion of 1/2 in k 52.776 * [backup-simplify]: Simplify 1/2 into 1/2 52.776 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 52.776 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 52.776 * [taylor]: Taking taylor expansion of 1 in k 52.776 * [backup-simplify]: Simplify 1 into 1 52.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.776 * [taylor]: Taking taylor expansion of k in k 52.776 * [backup-simplify]: Simplify 0 into 0 52.776 * [backup-simplify]: Simplify 1 into 1 52.776 * [backup-simplify]: Simplify (/ 1 1) into 1 52.776 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 52.776 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 52.776 * [taylor]: Taking taylor expansion of (* 2 PI) in k 52.776 * [taylor]: Taking taylor expansion of 2 in k 52.776 * [backup-simplify]: Simplify 2 into 2 52.776 * [taylor]: Taking taylor expansion of PI in k 52.776 * [backup-simplify]: Simplify PI into PI 52.777 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 52.777 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 52.777 * [taylor]: Taking taylor expansion of (log n) in k 52.777 * [taylor]: Taking taylor expansion of n in k 52.777 * [backup-simplify]: Simplify n into n 52.777 * [backup-simplify]: Simplify (log n) into (log n) 52.777 * [backup-simplify]: Simplify (- 1) into -1 52.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 52.778 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.778 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 52.779 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 52.780 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 52.780 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 52.780 * [taylor]: Taking taylor expansion of (sqrt k) in k 52.780 * [taylor]: Taking taylor expansion of k in k 52.780 * [backup-simplify]: Simplify 0 into 0 52.780 * [backup-simplify]: Simplify 1 into 1 52.781 * [backup-simplify]: Simplify (sqrt 0) into 0 52.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 52.782 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 52.782 * [backup-simplify]: Simplify 0 into 0 52.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 52.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 52.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.784 * [backup-simplify]: Simplify (- 0) into 0 52.785 * [backup-simplify]: Simplify (+ 0 0) into 0 52.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 52.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 52.788 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.788 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 52.788 * [taylor]: Taking taylor expansion of 0 in k 52.788 * [backup-simplify]: Simplify 0 into 0 52.788 * [backup-simplify]: Simplify 0 into 0 52.789 * [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))))))) 52.790 * [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))))))) 52.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 52.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 52.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 52.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.794 * [backup-simplify]: Simplify (- 0) into 0 52.794 * [backup-simplify]: Simplify (+ 0 0) into 0 52.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 52.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.797 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 52.800 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.801 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 52.801 * [taylor]: Taking taylor expansion of 0 in k 52.802 * [backup-simplify]: Simplify 0 into 0 52.802 * [backup-simplify]: Simplify 0 into 0 52.802 * [backup-simplify]: Simplify 0 into 0 52.805 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.806 * [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))))))) 52.808 * [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))))))) 52.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 52.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 52.817 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 52.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.817 * [backup-simplify]: Simplify (- 0) into 0 52.818 * [backup-simplify]: Simplify (+ 0 0) into 0 52.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 52.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 52.823 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 52.825 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 52.827 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 52.827 * [taylor]: Taking taylor expansion of 0 in k 52.827 * [backup-simplify]: Simplify 0 into 0 52.828 * [backup-simplify]: Simplify 0 into 0 52.828 * [backup-simplify]: Simplify 0 into 0 52.828 * [backup-simplify]: Simplify 0 into 0 52.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.837 * [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))))))) 52.838 * [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))))))) 52.842 * [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)))))))) 52.843 * [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))) 52.843 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 52.843 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 52.843 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 52.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 52.843 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 52.843 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 52.843 * [taylor]: Taking taylor expansion of 1/2 in k 52.843 * [backup-simplify]: Simplify 1/2 into 1/2 52.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.843 * [taylor]: Taking taylor expansion of k in k 52.843 * [backup-simplify]: Simplify 0 into 0 52.843 * [backup-simplify]: Simplify 1 into 1 52.844 * [backup-simplify]: Simplify (/ 1 1) into 1 52.844 * [taylor]: Taking taylor expansion of 1 in k 52.844 * [backup-simplify]: Simplify 1 into 1 52.844 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 52.844 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 52.844 * [taylor]: Taking taylor expansion of -2 in k 52.844 * [backup-simplify]: Simplify -2 into -2 52.844 * [taylor]: Taking taylor expansion of (/ PI n) in k 52.844 * [taylor]: Taking taylor expansion of PI in k 52.844 * [backup-simplify]: Simplify PI into PI 52.844 * [taylor]: Taking taylor expansion of n in k 52.844 * [backup-simplify]: Simplify n into n 52.844 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 52.844 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 52.844 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 52.845 * [backup-simplify]: Simplify (+ 1 0) into 1 52.845 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 52.845 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 52.846 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 52.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.846 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.846 * [taylor]: Taking taylor expansion of -1 in k 52.846 * [backup-simplify]: Simplify -1 into -1 52.846 * [taylor]: Taking taylor expansion of k in k 52.846 * [backup-simplify]: Simplify 0 into 0 52.846 * [backup-simplify]: Simplify 1 into 1 52.846 * [backup-simplify]: Simplify (/ -1 1) into -1 52.847 * [backup-simplify]: Simplify (sqrt 0) into 0 52.848 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.848 * [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))))) 52.848 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 52.848 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.848 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.848 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.848 * [taylor]: Taking taylor expansion of 1/2 in n 52.848 * [backup-simplify]: Simplify 1/2 into 1/2 52.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.848 * [taylor]: Taking taylor expansion of k in n 52.848 * [backup-simplify]: Simplify k into k 52.848 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.849 * [taylor]: Taking taylor expansion of 1 in n 52.849 * [backup-simplify]: Simplify 1 into 1 52.849 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.849 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.849 * [taylor]: Taking taylor expansion of -2 in n 52.849 * [backup-simplify]: Simplify -2 into -2 52.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.849 * [taylor]: Taking taylor expansion of PI in n 52.849 * [backup-simplify]: Simplify PI into PI 52.849 * [taylor]: Taking taylor expansion of n in n 52.849 * [backup-simplify]: Simplify 0 into 0 52.849 * [backup-simplify]: Simplify 1 into 1 52.849 * [backup-simplify]: Simplify (/ PI 1) into PI 52.850 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.851 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.851 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.851 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.853 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.855 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 52.855 * [taylor]: Taking taylor expansion of (/ -1 k) in n 52.855 * [taylor]: Taking taylor expansion of -1 in n 52.855 * [backup-simplify]: Simplify -1 into -1 52.855 * [taylor]: Taking taylor expansion of k in n 52.855 * [backup-simplify]: Simplify k into k 52.855 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 52.855 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 52.855 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 52.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 52.856 * [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))) 52.857 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 52.857 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 52.857 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 52.857 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 52.857 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 52.857 * [taylor]: Taking taylor expansion of 1/2 in n 52.857 * [backup-simplify]: Simplify 1/2 into 1/2 52.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 52.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 52.857 * [taylor]: Taking taylor expansion of k in n 52.857 * [backup-simplify]: Simplify k into k 52.857 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 52.857 * [taylor]: Taking taylor expansion of 1 in n 52.857 * [backup-simplify]: Simplify 1 into 1 52.857 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 52.857 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 52.857 * [taylor]: Taking taylor expansion of -2 in n 52.857 * [backup-simplify]: Simplify -2 into -2 52.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 52.857 * [taylor]: Taking taylor expansion of PI in n 52.857 * [backup-simplify]: Simplify PI into PI 52.857 * [taylor]: Taking taylor expansion of n in n 52.857 * [backup-simplify]: Simplify 0 into 0 52.857 * [backup-simplify]: Simplify 1 into 1 52.858 * [backup-simplify]: Simplify (/ PI 1) into PI 52.858 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.859 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.859 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 52.859 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 52.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.862 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 52.863 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 52.863 * [taylor]: Taking taylor expansion of (/ -1 k) in n 52.863 * [taylor]: Taking taylor expansion of -1 in n 52.863 * [backup-simplify]: Simplify -1 into -1 52.863 * [taylor]: Taking taylor expansion of k in n 52.863 * [backup-simplify]: Simplify k into k 52.863 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 52.863 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 52.864 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 52.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 52.865 * [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))) 52.865 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 52.865 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 52.865 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 52.865 * [taylor]: Taking taylor expansion of 1/2 in k 52.865 * [backup-simplify]: Simplify 1/2 into 1/2 52.865 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 52.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 52.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 52.865 * [taylor]: Taking taylor expansion of k in k 52.865 * [backup-simplify]: Simplify 0 into 0 52.865 * [backup-simplify]: Simplify 1 into 1 52.866 * [backup-simplify]: Simplify (/ 1 1) into 1 52.866 * [taylor]: Taking taylor expansion of 1 in k 52.866 * [backup-simplify]: Simplify 1 into 1 52.866 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 52.866 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 52.866 * [taylor]: Taking taylor expansion of (* -2 PI) in k 52.866 * [taylor]: Taking taylor expansion of -2 in k 52.866 * [backup-simplify]: Simplify -2 into -2 52.866 * [taylor]: Taking taylor expansion of PI in k 52.866 * [backup-simplify]: Simplify PI into PI 52.866 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 52.867 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 52.867 * [taylor]: Taking taylor expansion of (log n) in k 52.867 * [taylor]: Taking taylor expansion of n in k 52.867 * [backup-simplify]: Simplify n into n 52.867 * [backup-simplify]: Simplify (log n) into (log n) 52.868 * [backup-simplify]: Simplify (+ 1 0) into 1 52.868 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 52.869 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 52.870 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 52.871 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 52.872 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 52.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 52.872 * [taylor]: Taking taylor expansion of (/ -1 k) in k 52.872 * [taylor]: Taking taylor expansion of -1 in k 52.872 * [backup-simplify]: Simplify -1 into -1 52.872 * [taylor]: Taking taylor expansion of k in k 52.872 * [backup-simplify]: Simplify 0 into 0 52.872 * [backup-simplify]: Simplify 1 into 1 52.873 * [backup-simplify]: Simplify (/ -1 1) into -1 52.873 * [backup-simplify]: Simplify (sqrt 0) into 0 52.875 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 52.876 * [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)))))) 52.877 * [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)))))) 52.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 52.879 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 52.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 52.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 52.881 * [backup-simplify]: Simplify (+ 0 0) into 0 52.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 52.883 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.884 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 52.886 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 52.887 * [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 52.887 * [taylor]: Taking taylor expansion of 0 in k 52.887 * [backup-simplify]: Simplify 0 into 0 52.887 * [backup-simplify]: Simplify 0 into 0 52.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 52.891 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 52.893 * [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))))))) 52.894 * [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))))))) 52.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.896 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 52.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 52.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.901 * [backup-simplify]: Simplify (+ 0 0) into 0 52.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 52.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 52.905 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 52.907 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 52.907 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 52.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 52.909 * [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 52.909 * [taylor]: Taking taylor expansion of 0 in k 52.910 * [backup-simplify]: Simplify 0 into 0 52.910 * [backup-simplify]: Simplify 0 into 0 52.910 * [backup-simplify]: Simplify 0 into 0 52.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 52.918 * [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))))))) 52.919 * [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))))))) 52.923 * [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)))))))))))) 52.923 * * * [progress]: simplifying candidates 52.924 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 52.924 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 52.924 * * [simplify]: iters left: 6 (11 enodes) 52.931 * * [simplify]: iters left: 5 (48 enodes) 52.939 * * [simplify]: iters left: 4 (77 enodes) 52.952 * * [simplify]: iters left: 3 (120 enodes) 52.978 * * [simplify]: iters left: 2 (218 enodes) 53.033 * * [simplify]: iters left: 1 (394 enodes) 53.187 * * [simplify]: Extracting #0: cost 1 inf + 0 53.187 * * [simplify]: Extracting #1: cost 3 inf + 0 53.187 * * [simplify]: Extracting #2: cost 29 inf + 0 53.187 * * [simplify]: Extracting #3: cost 109 inf + 1 53.188 * * [simplify]: Extracting #4: cost 179 inf + 176 53.189 * * [simplify]: Extracting #5: cost 171 inf + 1098 53.191 * * [simplify]: Extracting #6: cost 92 inf + 12160 53.203 * * [simplify]: Extracting #7: cost 26 inf + 47801 53.222 * * [simplify]: Extracting #8: cost 0 inf + 68613 53.234 * * [simplify]: Extracting #9: cost 0 inf + 64998 53.251 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 53.251 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ 1 (sqrt k)))) 53.251 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 53.252 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 53.252 * * [simplify]: iters left: 6 (11 enodes) 53.258 * * [simplify]: iters left: 5 (48 enodes) 53.273 * * [simplify]: iters left: 4 (77 enodes) 53.286 * * [simplify]: iters left: 3 (120 enodes) 53.317 * * [simplify]: iters left: 2 (218 enodes) 53.397 * * [simplify]: iters left: 1 (394 enodes) 53.534 * * [simplify]: Extracting #0: cost 1 inf + 0 53.535 * * [simplify]: Extracting #1: cost 3 inf + 0 53.535 * * [simplify]: Extracting #2: cost 29 inf + 0 53.535 * * [simplify]: Extracting #3: cost 109 inf + 1 53.536 * * [simplify]: Extracting #4: cost 179 inf + 176 53.537 * * [simplify]: Extracting #5: cost 171 inf + 1098 53.539 * * [simplify]: Extracting #6: cost 92 inf + 12200 53.546 * * [simplify]: Extracting #7: cost 26 inf + 47841 53.557 * * [simplify]: Extracting #8: cost 0 inf + 68653 53.569 * * [simplify]: Extracting #9: cost 0 inf + 65038 53.592 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 53.592 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ 1 (sqrt k)))) 53.593 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 53.593 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 53.593 * * [simplify]: iters left: 6 (13 enodes) 53.600 * * [simplify]: iters left: 5 (54 enodes) 53.609 * * [simplify]: iters left: 4 (97 enodes) 53.632 * * [simplify]: iters left: 3 (252 enodes) 53.771 * * [simplify]: Extracting #0: cost 1 inf + 0 53.772 * * [simplify]: Extracting #1: cost 37 inf + 0 53.772 * * [simplify]: Extracting #2: cost 136 inf + 73 53.773 * * [simplify]: Extracting #3: cost 160 inf + 1982 53.776 * * [simplify]: Extracting #4: cost 55 inf + 26873 53.784 * * [simplify]: Extracting #5: cost 5 inf + 40601 53.793 * * [simplify]: Extracting #6: cost 0 inf + 42409 53.804 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 53.804 * [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)))) 53.804 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 53.804 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 53.804 * * [simplify]: iters left: 6 (12 enodes) 53.808 * * [simplify]: iters left: 5 (52 enodes) 53.817 * * [simplify]: iters left: 4 (90 enodes) 53.838 * * [simplify]: iters left: 3 (209 enodes) 53.923 * * [simplify]: Extracting #0: cost 1 inf + 0 53.923 * * [simplify]: Extracting #1: cost 33 inf + 0 53.924 * * [simplify]: Extracting #2: cost 117 inf + 73 53.925 * * [simplify]: Extracting #3: cost 141 inf + 1307 53.932 * * [simplify]: Extracting #4: cost 79 inf + 11364 53.938 * * [simplify]: Extracting #5: cost 30 inf + 22914 53.944 * * [simplify]: Extracting #6: cost 0 inf + 32222 53.951 * * [simplify]: Extracting #7: cost 0 inf + 32142 53.957 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 53.957 * [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)))) 53.957 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 53.958 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 53.958 * * [simplify]: iters left: 6 (11 enodes) 53.963 * * [simplify]: iters left: 5 (51 enodes) 53.979 * * [simplify]: iters left: 4 (97 enodes) 54.013 * * [simplify]: iters left: 3 (203 enodes) 54.081 * * [simplify]: Extracting #0: cost 1 inf + 0 54.081 * * [simplify]: Extracting #1: cost 35 inf + 0 54.081 * * [simplify]: Extracting #2: cost 119 inf + 2 54.082 * * [simplify]: Extracting #3: cost 150 inf + 702 54.083 * * [simplify]: Extracting #4: cost 96 inf + 7237 54.087 * * [simplify]: Extracting #5: cost 29 inf + 21171 54.092 * * [simplify]: Extracting #6: cost 6 inf + 26771 54.102 * * [simplify]: Extracting #7: cost 0 inf + 28612 54.114 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 54.114 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 54.114 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 54.115 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 54.115 * * [simplify]: iters left: 6 (11 enodes) 54.121 * * [simplify]: iters left: 5 (51 enodes) 54.134 * * [simplify]: iters left: 4 (97 enodes) 54.154 * * [simplify]: iters left: 3 (203 enodes) 54.259 * * [simplify]: Extracting #0: cost 1 inf + 0 54.259 * * [simplify]: Extracting #1: cost 35 inf + 0 54.259 * * [simplify]: Extracting #2: cost 119 inf + 2 54.261 * * [simplify]: Extracting #3: cost 150 inf + 702 54.263 * * [simplify]: Extracting #4: cost 96 inf + 7237 54.270 * * [simplify]: Extracting #5: cost 29 inf + 21171 54.281 * * [simplify]: Extracting #6: cost 6 inf + 26771 54.293 * * [simplify]: Extracting #7: cost 0 inf + 28612 54.305 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 54.305 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 54.305 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 54.306 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 54.306 * * [simplify]: iters left: 6 (6 enodes) 54.310 * * [simplify]: iters left: 5 (27 enodes) 54.321 * * [simplify]: iters left: 4 (47 enodes) 54.336 * * [simplify]: iters left: 3 (59 enodes) 54.355 * * [simplify]: iters left: 2 (79 enodes) 54.379 * * [simplify]: iters left: 1 (108 enodes) 54.410 * * [simplify]: Extracting #0: cost 1 inf + 0 54.410 * * [simplify]: Extracting #1: cost 10 inf + 0 54.410 * * [simplify]: Extracting #2: cost 19 inf + 3 54.410 * * [simplify]: Extracting #3: cost 15 inf + 131 54.411 * * [simplify]: Extracting #4: cost 1 inf + 1004 54.412 * * [simplify]: Extracting #5: cost 0 inf + 1086 54.413 * [simplify]: Simplified to (* 1/2 (- 1 k)) 54.413 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 54.413 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 54.414 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 54.414 * * [simplify]: iters left: 6 (6 enodes) 54.418 * * [simplify]: iters left: 5 (27 enodes) 54.424 * * [simplify]: iters left: 4 (47 enodes) 54.431 * * [simplify]: iters left: 3 (59 enodes) 54.441 * * [simplify]: iters left: 2 (79 enodes) 54.454 * * [simplify]: iters left: 1 (108 enodes) 54.482 * * [simplify]: Extracting #0: cost 1 inf + 0 54.483 * * [simplify]: Extracting #1: cost 10 inf + 0 54.483 * * [simplify]: Extracting #2: cost 19 inf + 3 54.483 * * [simplify]: Extracting #3: cost 15 inf + 131 54.484 * * [simplify]: Extracting #4: cost 1 inf + 1004 54.485 * * [simplify]: Extracting #5: cost 0 inf + 1086 54.485 * [simplify]: Simplified to (* 1/2 (- 1 k)) 54.485 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 54.486 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 54.486 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 54.486 * * [simplify]: iters left: 6 (6 enodes) 54.489 * * [simplify]: iters left: 5 (27 enodes) 54.498 * * [simplify]: iters left: 4 (47 enodes) 54.513 * * [simplify]: iters left: 3 (59 enodes) 54.532 * * [simplify]: iters left: 2 (79 enodes) 54.556 * * [simplify]: iters left: 1 (108 enodes) 54.578 * * [simplify]: Extracting #0: cost 1 inf + 0 54.578 * * [simplify]: Extracting #1: cost 10 inf + 0 54.578 * * [simplify]: Extracting #2: cost 19 inf + 3 54.578 * * [simplify]: Extracting #3: cost 15 inf + 131 54.579 * * [simplify]: Extracting #4: cost 1 inf + 1004 54.579 * * [simplify]: Extracting #5: cost 0 inf + 1086 54.580 * [simplify]: Simplified to (* 1/2 (- 1 k)) 54.580 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 54.580 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 54.580 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 54.580 * * [simplify]: iters left: 5 (8 enodes) 54.584 * * [simplify]: iters left: 4 (35 enodes) 54.591 * * [simplify]: iters left: 3 (63 enodes) 54.605 * * [simplify]: iters left: 2 (108 enodes) 54.627 * * [simplify]: iters left: 1 (162 enodes) 54.661 * * [simplify]: Extracting #0: cost 1 inf + 0 54.661 * * [simplify]: Extracting #1: cost 12 inf + 0 54.661 * * [simplify]: Extracting #2: cost 40 inf + 2 54.662 * * [simplify]: Extracting #3: cost 40 inf + 9 54.662 * * [simplify]: Extracting #4: cost 25 inf + 2233 54.664 * * [simplify]: Extracting #5: cost 10 inf + 8991 54.668 * * [simplify]: Extracting #6: cost 0 inf + 14572 54.671 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 54.671 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (/ 1 (sqrt k)))) 54.671 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 54.672 * * [simplify]: iters left: 5 (8 enodes) 54.676 * * [simplify]: iters left: 4 (31 enodes) 54.682 * * [simplify]: iters left: 3 (51 enodes) 54.691 * * [simplify]: iters left: 2 (85 enodes) 54.708 * * [simplify]: iters left: 1 (152 enodes) 54.747 * * [simplify]: Extracting #0: cost 1 inf + 0 54.747 * * [simplify]: Extracting #1: cost 13 inf + 0 54.747 * * [simplify]: Extracting #2: cost 60 inf + 1 54.748 * * [simplify]: Extracting #3: cost 75 inf + 9 54.749 * * [simplify]: Extracting #4: cost 41 inf + 3220 54.752 * * [simplify]: Extracting #5: cost 16 inf + 10552 54.757 * * [simplify]: Extracting #6: cost 0 inf + 20904 54.762 * * [simplify]: Extracting #7: cost 0 inf + 20373 54.767 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 54.768 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 54.768 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 54.768 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 54.768 * * [simplify]: iters left: 6 (12 enodes) 54.775 * * [simplify]: iters left: 5 (51 enodes) 54.792 * * [simplify]: iters left: 4 (79 enodes) 54.817 * * [simplify]: iters left: 3 (118 enodes) 54.850 * * [simplify]: iters left: 2 (199 enodes) 54.892 * * [simplify]: iters left: 1 (354 enodes) 55.080 * * [simplify]: Extracting #0: cost 1 inf + 0 55.080 * * [simplify]: Extracting #1: cost 27 inf + 0 55.081 * * [simplify]: Extracting #2: cost 112 inf + 1 55.082 * * [simplify]: Extracting #3: cost 194 inf + 175 55.083 * * [simplify]: Extracting #4: cost 203 inf + 429 55.083 * * [simplify]: Extracting #5: cost 208 inf + 429 55.084 * * [simplify]: Extracting #6: cost 200 inf + 1412 55.089 * * [simplify]: Extracting #7: cost 93 inf + 27530 55.106 * * [simplify]: Extracting #8: cost 23 inf + 71276 55.145 * * [simplify]: Extracting #9: cost 0 inf + 92839 55.182 * * [simplify]: Extracting #10: cost 0 inf + 91398 55.219 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 55.219 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 55.219 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 55.219 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 55.220 * * [simplify]: iters left: 6 (11 enodes) 55.226 * * [simplify]: iters left: 5 (48 enodes) 55.242 * * [simplify]: iters left: 4 (74 enodes) 55.266 * * [simplify]: iters left: 3 (105 enodes) 55.303 * * [simplify]: iters left: 2 (161 enodes) 55.331 * * [simplify]: iters left: 1 (278 enodes) 55.436 * * [simplify]: Extracting #0: cost 1 inf + 0 55.436 * * [simplify]: Extracting #1: cost 29 inf + 0 55.437 * * [simplify]: Extracting #2: cost 103 inf + 1 55.438 * * [simplify]: Extracting #3: cost 133 inf + 174 55.439 * * [simplify]: Extracting #4: cost 132 inf + 388 55.441 * * [simplify]: Extracting #5: cost 129 inf + 556 55.444 * * [simplify]: Extracting #6: cost 86 inf + 11351 55.454 * * [simplify]: Extracting #7: cost 50 inf + 25422 55.465 * * [simplify]: Extracting #8: cost 1 inf + 70565 55.478 * * [simplify]: Extracting #9: cost 0 inf + 71813 55.500 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 55.501 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 55.501 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 55.501 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 55.501 * * [simplify]: iters left: 6 (14 enodes) 55.509 * * [simplify]: iters left: 5 (59 enodes) 55.530 * * [simplify]: iters left: 4 (104 enodes) 55.551 * * [simplify]: iters left: 3 (186 enodes) 55.604 * * [simplify]: iters left: 2 (434 enodes) 55.858 * * [simplify]: Extracting #0: cost 1 inf + 0 55.858 * * [simplify]: Extracting #1: cost 12 inf + 0 55.859 * * [simplify]: Extracting #2: cost 112 inf + 1 55.860 * * [simplify]: Extracting #3: cost 232 inf + 215 55.861 * * [simplify]: Extracting #4: cost 230 inf + 1838 55.865 * * [simplify]: Extracting #5: cost 162 inf + 17856 55.886 * * [simplify]: Extracting #6: cost 33 inf + 62390 55.920 * * [simplify]: Extracting #7: cost 2 inf + 84429 55.952 * * [simplify]: Extracting #8: cost 0 inf + 84580 55.983 * * [simplify]: Extracting #9: cost 0 inf + 84291 56.003 * * [simplify]: Extracting #10: cost 0 inf + 84213 56.019 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 56.019 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 56.019 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 56.019 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 56.019 * * [simplify]: iters left: 6 (13 enodes) 56.023 * * [simplify]: iters left: 5 (52 enodes) 56.032 * * [simplify]: iters left: 4 (82 enodes) 56.050 * * [simplify]: iters left: 3 (136 enodes) 56.098 * * [simplify]: iters left: 2 (272 enodes) 56.181 * * [simplify]: Extracting #0: cost 1 inf + 0 56.181 * * [simplify]: Extracting #1: cost 12 inf + 0 56.181 * * [simplify]: Extracting #2: cost 88 inf + 1 56.182 * * [simplify]: Extracting #3: cost 151 inf + 6 56.183 * * [simplify]: Extracting #4: cost 144 inf + 992 56.184 * * [simplify]: Extracting #5: cost 131 inf + 2339 56.191 * * [simplify]: Extracting #6: cost 59 inf + 21693 56.205 * * [simplify]: Extracting #7: cost 9 inf + 46808 56.224 * * [simplify]: Extracting #8: cost 0 inf + 55030 56.247 * * [simplify]: Extracting #9: cost 0 inf + 54610 56.266 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 56.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 56.266 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 56.267 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 56.267 * * [simplify]: iters left: 6 (12 enodes) 56.274 * * [simplify]: iters left: 5 (47 enodes) 56.290 * * [simplify]: iters left: 4 (83 enodes) 56.307 * * [simplify]: iters left: 3 (123 enodes) 56.329 * * [simplify]: iters left: 2 (221 enodes) 56.406 * * [simplify]: iters left: 1 (473 enodes) 56.800 * * [simplify]: Extracting #0: cost 1 inf + 0 56.801 * * [simplify]: Extracting #1: cost 34 inf + 0 56.801 * * [simplify]: Extracting #2: cost 135 inf + 1 56.803 * * [simplify]: Extracting #3: cost 212 inf + 136 56.805 * * [simplify]: Extracting #4: cost 213 inf + 431 56.808 * * [simplify]: Extracting #5: cost 211 inf + 515 56.814 * * [simplify]: Extracting #6: cost 142 inf + 14322 56.832 * * [simplify]: Extracting #7: cost 51 inf + 52633 56.853 * * [simplify]: Extracting #8: cost 11 inf + 89338 56.876 * * [simplify]: Extracting #9: cost 0 inf + 103865 56.913 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 56.913 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 56.913 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 56.914 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 56.914 * * [simplify]: iters left: 6 (13 enodes) 56.921 * * [simplify]: iters left: 5 (52 enodes) 56.938 * * [simplify]: iters left: 4 (80 enodes) 56.965 * * [simplify]: iters left: 3 (128 enodes) 57.008 * * [simplify]: iters left: 2 (246 enodes) 57.078 * * [simplify]: iters left: 1 (489 enodes) 57.433 * * [simplify]: Extracting #0: cost 1 inf + 0 57.433 * * [simplify]: Extracting #1: cost 30 inf + 0 57.434 * * [simplify]: Extracting #2: cost 204 inf + 1 57.438 * * [simplify]: Extracting #3: cost 422 inf + 743 57.443 * * [simplify]: Extracting #4: cost 379 inf + 9404 57.450 * * [simplify]: Extracting #5: cost 350 inf + 14022 57.469 * * [simplify]: Extracting #6: cost 172 inf + 57888 57.507 * * [simplify]: Extracting #7: cost 16 inf + 135359 57.542 * * [simplify]: Extracting #8: cost 0 inf + 150451 57.585 * * [simplify]: Extracting #9: cost 0 inf + 149971 57.626 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 57.626 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 57.626 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 57.627 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 57.627 * * [simplify]: iters left: 6 (12 enodes) 57.634 * * [simplify]: iters left: 5 (47 enodes) 57.649 * * [simplify]: iters left: 4 (71 enodes) 57.672 * * [simplify]: iters left: 3 (109 enodes) 57.709 * * [simplify]: iters left: 2 (192 enodes) 57.768 * * [simplify]: iters left: 1 (357 enodes) 57.982 * * [simplify]: Extracting #0: cost 1 inf + 0 57.982 * * [simplify]: Extracting #1: cost 29 inf + 0 57.983 * * [simplify]: Extracting #2: cost 135 inf + 1 57.985 * * [simplify]: Extracting #3: cost 251 inf + 255 57.987 * * [simplify]: Extracting #4: cost 225 inf + 3400 57.991 * * [simplify]: Extracting #5: cost 205 inf + 5445 58.000 * * [simplify]: Extracting #6: cost 122 inf + 23316 58.025 * * [simplify]: Extracting #7: cost 43 inf + 53612 58.057 * * [simplify]: Extracting #8: cost 2 inf + 92427 58.091 * * [simplify]: Extracting #9: cost 0 inf + 94805 58.125 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 58.125 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 58.125 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 58.125 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 58.125 * * [simplify]: iters left: 6 (11 enodes) 58.132 * * [simplify]: iters left: 5 (42 enodes) 58.138 * * [simplify]: iters left: 4 (64 enodes) 58.151 * * [simplify]: iters left: 3 (98 enodes) 58.170 * * [simplify]: iters left: 2 (156 enodes) 58.198 * * [simplify]: iters left: 1 (280 enodes) 58.315 * * [simplify]: Extracting #0: cost 1 inf + 0 58.316 * * [simplify]: Extracting #1: cost 30 inf + 0 58.316 * * [simplify]: Extracting #2: cost 110 inf + 1 58.317 * * [simplify]: Extracting #3: cost 133 inf + 133 58.318 * * [simplify]: Extracting #4: cost 128 inf + 429 58.320 * * [simplify]: Extracting #5: cost 118 inf + 1666 58.329 * * [simplify]: Extracting #6: cost 62 inf + 21931 58.343 * * [simplify]: Extracting #7: cost 7 inf + 67089 58.354 * * [simplify]: Extracting #8: cost 0 inf + 70630 58.365 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 58.365 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 58.365 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 58.365 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 58.365 * * [simplify]: iters left: 6 (10 enodes) 58.371 * * [simplify]: iters left: 5 (41 enodes) 58.385 * * [simplify]: iters left: 4 (66 enodes) 58.405 * * [simplify]: iters left: 3 (116 enodes) 58.426 * * [simplify]: iters left: 2 (219 enodes) 58.507 * * [simplify]: iters left: 1 (499 enodes) 58.896 * * [simplify]: Extracting #0: cost 1 inf + 0 58.896 * * [simplify]: Extracting #1: cost 35 inf + 0 58.896 * * [simplify]: Extracting #2: cost 129 inf + 1 58.897 * * [simplify]: Extracting #3: cost 198 inf + 827 58.901 * * [simplify]: Extracting #4: cost 122 inf + 18089 58.922 * * [simplify]: Extracting #5: cost 25 inf + 62444 58.952 * * [simplify]: Extracting #6: cost 0 inf + 84055 58.987 * * [simplify]: Extracting #7: cost 0 inf + 83884 59.011 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 59.011 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 59.011 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 59.012 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 59.012 * * [simplify]: iters left: 5 (9 enodes) 59.015 * * [simplify]: iters left: 4 (36 enodes) 59.021 * * [simplify]: iters left: 3 (57 enodes) 59.032 * * [simplify]: iters left: 2 (96 enodes) 59.064 * * [simplify]: iters left: 1 (171 enodes) 59.123 * * [simplify]: Extracting #0: cost 1 inf + 0 59.123 * * [simplify]: Extracting #1: cost 12 inf + 0 59.124 * * [simplify]: Extracting #2: cost 50 inf + 1 59.125 * * [simplify]: Extracting #3: cost 73 inf + 6 59.125 * * [simplify]: Extracting #4: cost 58 inf + 1463 59.128 * * [simplify]: Extracting #5: cost 24 inf + 7936 59.132 * * [simplify]: Extracting #6: cost 2 inf + 20820 59.136 * * [simplify]: Extracting #7: cost 0 inf + 22437 59.140 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 59.140 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 59.140 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 59.140 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 59.140 * * [simplify]: iters left: 5 (8 enodes) 59.143 * * [simplify]: iters left: 4 (34 enodes) 59.150 * * [simplify]: iters left: 3 (64 enodes) 59.166 * * [simplify]: iters left: 2 (105 enodes) 59.204 * * [simplify]: iters left: 1 (177 enodes) 59.258 * * [simplify]: Extracting #0: cost 1 inf + 0 59.258 * * [simplify]: Extracting #1: cost 17 inf + 0 59.258 * * [simplify]: Extracting #2: cost 34 inf + 46 59.258 * * [simplify]: Extracting #3: cost 26 inf + 466 59.259 * * [simplify]: Extracting #4: cost 11 inf + 6543 59.260 * * [simplify]: Extracting #5: cost 1 inf + 10885 59.262 * * [simplify]: Extracting #6: cost 0 inf + 11179 59.264 * [simplify]: Simplified to (* (* PI 2) n) 59.264 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 59.264 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 59.264 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 59.264 * * [simplify]: iters left: 6 (14 enodes) 59.268 * * [simplify]: iters left: 5 (54 enodes) 59.277 * * [simplify]: iters left: 4 (79 enodes) 59.293 * * [simplify]: iters left: 3 (128 enodes) 59.317 * * [simplify]: iters left: 2 (254 enodes) 59.383 * * [simplify]: Extracting #0: cost 1 inf + 0 59.383 * * [simplify]: Extracting #1: cost 12 inf + 0 59.383 * * [simplify]: Extracting #2: cost 77 inf + 1 59.383 * * [simplify]: Extracting #3: cost 138 inf + 6 59.384 * * [simplify]: Extracting #4: cost 120 inf + 2850 59.385 * * [simplify]: Extracting #5: cost 100 inf + 5521 59.388 * * [simplify]: Extracting #6: cost 51 inf + 18163 59.394 * * [simplify]: Extracting #7: cost 10 inf + 40091 59.402 * * [simplify]: Extracting #8: cost 1 inf + 48527 59.410 * * [simplify]: Extracting #9: cost 0 inf + 49395 59.418 * * [simplify]: Extracting #10: cost 0 inf + 49355 59.430 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 59.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 59.430 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 59.431 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 59.431 * * [simplify]: iters left: 6 (13 enodes) 59.439 * * [simplify]: iters left: 5 (49 enodes) 59.454 * * [simplify]: iters left: 4 (70 enodes) 59.476 * * [simplify]: iters left: 3 (109 enodes) 59.502 * * [simplify]: iters left: 2 (197 enodes) 59.541 * * [simplify]: iters left: 1 (359 enodes) 59.732 * * [simplify]: Extracting #0: cost 1 inf + 0 59.732 * * [simplify]: Extracting #1: cost 28 inf + 0 59.732 * * [simplify]: Extracting #2: cost 147 inf + 1 59.733 * * [simplify]: Extracting #3: cost 239 inf + 301 59.734 * * [simplify]: Extracting #4: cost 242 inf + 553 59.738 * * [simplify]: Extracting #5: cost 200 inf + 5395 59.751 * * [simplify]: Extracting #6: cost 113 inf + 24066 59.765 * * [simplify]: Extracting #7: cost 27 inf + 67703 59.782 * * [simplify]: Extracting #8: cost 2 inf + 91941 59.815 * * [simplify]: Extracting #9: cost 0 inf + 93353 59.848 * * [simplify]: Extracting #10: cost 0 inf + 92703 59.883 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 59.883 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 59.884 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 59.884 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 59.884 * * [simplify]: iters left: 6 (12 enodes) 59.892 * * [simplify]: iters left: 5 (44 enodes) 59.906 * * [simplify]: iters left: 4 (63 enodes) 59.925 * * [simplify]: iters left: 3 (96 enodes) 59.942 * * [simplify]: iters left: 2 (161 enodes) 59.987 * * [simplify]: iters left: 1 (290 enodes) 60.087 * * [simplify]: Extracting #0: cost 1 inf + 0 60.087 * * [simplify]: Extracting #1: cost 27 inf + 0 60.088 * * [simplify]: Extracting #2: cost 96 inf + 1 60.089 * * [simplify]: Extracting #3: cost 132 inf + 215 60.090 * * [simplify]: Extracting #4: cost 124 inf + 609 60.094 * * [simplify]: Extracting #5: cost 77 inf + 11236 60.104 * * [simplify]: Extracting #6: cost 27 inf + 36948 60.123 * * [simplify]: Extracting #7: cost 3 inf + 60599 60.143 * * [simplify]: Extracting #8: cost 0 inf + 62560 60.163 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 60.163 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (/ 1 (sqrt k)))) 60.164 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 60.164 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 60.164 * * [simplify]: iters left: 6 (13 enodes) 60.171 * * [simplify]: iters left: 5 (51 enodes) 60.188 * * [simplify]: iters left: 4 (76 enodes) 60.211 * * [simplify]: iters left: 3 (124 enodes) 60.237 * * [simplify]: iters left: 2 (250 enodes) 60.309 * * [simplify]: Extracting #0: cost 1 inf + 0 60.309 * * [simplify]: Extracting #1: cost 13 inf + 0 60.309 * * [simplify]: Extracting #2: cost 76 inf + 1 60.310 * * [simplify]: Extracting #3: cost 135 inf + 209 60.311 * * [simplify]: Extracting #4: cost 115 inf + 3416 60.314 * * [simplify]: Extracting #5: cost 97 inf + 6088 60.319 * * [simplify]: Extracting #6: cost 51 inf + 17292 60.331 * * [simplify]: Extracting #7: cost 10 inf + 38414 60.346 * * [simplify]: Extracting #8: cost 0 inf + 47532 60.361 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 60.361 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 60.361 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 60.362 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 60.362 * * [simplify]: iters left: 6 (12 enodes) 60.369 * * [simplify]: iters left: 5 (46 enodes) 60.382 * * [simplify]: iters left: 4 (67 enodes) 60.393 * * [simplify]: iters left: 3 (106 enodes) 60.414 * * [simplify]: iters left: 2 (197 enodes) 60.486 * * [simplify]: iters left: 1 (361 enodes) 60.717 * * [simplify]: Extracting #0: cost 1 inf + 0 60.717 * * [simplify]: Extracting #1: cost 30 inf + 0 60.718 * * [simplify]: Extracting #2: cost 143 inf + 1 60.719 * * [simplify]: Extracting #3: cost 241 inf + 217 60.720 * * [simplify]: Extracting #4: cost 235 inf + 1328 60.722 * * [simplify]: Extracting #5: cost 200 inf + 5397 60.727 * * [simplify]: Extracting #6: cost 106 inf + 27712 60.751 * * [simplify]: Extracting #7: cost 21 inf + 75125 60.773 * * [simplify]: Extracting #8: cost 0 inf + 91395 60.813 * * [simplify]: Extracting #9: cost 0 inf + 87671 60.842 * * [simplify]: Extracting #10: cost 0 inf + 87151 60.875 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 60.875 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 60.875 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 60.875 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 60.875 * * [simplify]: iters left: 6 (11 enodes) 60.878 * * [simplify]: iters left: 5 (41 enodes) 60.886 * * [simplify]: iters left: 4 (60 enodes) 60.903 * * [simplify]: iters left: 3 (94 enodes) 60.919 * * [simplify]: iters left: 2 (156 enodes) 60.947 * * [simplify]: iters left: 1 (287 enodes) 61.084 * * [simplify]: Extracting #0: cost 1 inf + 0 61.084 * * [simplify]: Extracting #1: cost 29 inf + 0 61.085 * * [simplify]: Extracting #2: cost 102 inf + 1 61.086 * * [simplify]: Extracting #3: cost 133 inf + 216 61.087 * * [simplify]: Extracting #4: cost 129 inf + 347 61.088 * * [simplify]: Extracting #5: cost 123 inf + 718 61.092 * * [simplify]: Extracting #6: cost 69 inf + 14066 61.106 * * [simplify]: Extracting #7: cost 11 inf + 54785 61.126 * * [simplify]: Extracting #8: cost 0 inf + 65444 61.146 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 61.146 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 61.146 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 61.146 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 61.146 * * [simplify]: iters left: 6 (10 enodes) 61.152 * * [simplify]: iters left: 5 (41 enodes) 61.160 * * [simplify]: iters left: 4 (66 enodes) 61.171 * * [simplify]: iters left: 3 (116 enodes) 61.212 * * [simplify]: iters left: 2 (219 enodes) 61.325 * * [simplify]: iters left: 1 (499 enodes) 61.731 * * [simplify]: Extracting #0: cost 1 inf + 0 61.731 * * [simplify]: Extracting #1: cost 35 inf + 0 61.732 * * [simplify]: Extracting #2: cost 129 inf + 1 61.734 * * [simplify]: Extracting #3: cost 198 inf + 827 61.741 * * [simplify]: Extracting #4: cost 122 inf + 18089 61.768 * * [simplify]: Extracting #5: cost 25 inf + 62444 61.785 * * [simplify]: Extracting #6: cost 0 inf + 84055 61.801 * * [simplify]: Extracting #7: cost 0 inf + 83884 61.831 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 61.831 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 61.832 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 61.832 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 61.832 * * [simplify]: iters left: 5 (9 enodes) 61.838 * * [simplify]: iters left: 4 (36 enodes) 61.850 * * [simplify]: iters left: 3 (57 enodes) 61.870 * * [simplify]: iters left: 2 (96 enodes) 61.907 * * [simplify]: iters left: 1 (171 enodes) 61.966 * * [simplify]: Extracting #0: cost 1 inf + 0 61.966 * * [simplify]: Extracting #1: cost 12 inf + 0 61.966 * * [simplify]: Extracting #2: cost 50 inf + 1 61.966 * * [simplify]: Extracting #3: cost 73 inf + 6 61.967 * * [simplify]: Extracting #4: cost 58 inf + 1463 61.968 * * [simplify]: Extracting #5: cost 24 inf + 7936 61.971 * * [simplify]: Extracting #6: cost 2 inf + 20820 61.974 * * [simplify]: Extracting #7: cost 0 inf + 22437 61.978 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 61.978 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 61.978 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 61.978 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 61.978 * * [simplify]: iters left: 5 (8 enodes) 61.981 * * [simplify]: iters left: 4 (34 enodes) 61.994 * * [simplify]: iters left: 3 (64 enodes) 62.021 * * [simplify]: iters left: 2 (105 enodes) 62.057 * * [simplify]: iters left: 1 (177 enodes) 62.119 * * [simplify]: Extracting #0: cost 1 inf + 0 62.119 * * [simplify]: Extracting #1: cost 17 inf + 0 62.119 * * [simplify]: Extracting #2: cost 34 inf + 46 62.120 * * [simplify]: Extracting #3: cost 26 inf + 466 62.120 * * [simplify]: Extracting #4: cost 11 inf + 6543 62.122 * * [simplify]: Extracting #5: cost 1 inf + 10885 62.123 * * [simplify]: Extracting #6: cost 0 inf + 11179 62.124 * [simplify]: Simplified to (* (* PI 2) n) 62.125 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 62.125 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 62.125 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 62.125 * * [simplify]: iters left: 5 (7 enodes) 62.127 * * [simplify]: iters left: 4 (30 enodes) 62.137 * * [simplify]: iters left: 3 (58 enodes) 62.149 * * [simplify]: iters left: 2 (99 enodes) 62.184 * * [simplify]: iters left: 1 (171 enodes) 62.230 * * [simplify]: Extracting #0: cost 1 inf + 0 62.230 * * [simplify]: Extracting #1: cost 18 inf + 0 62.230 * * [simplify]: Extracting #2: cost 35 inf + 46 62.231 * * [simplify]: Extracting #3: cost 25 inf + 1347 62.232 * * [simplify]: Extracting #4: cost 14 inf + 5442 62.234 * * [simplify]: Extracting #5: cost 7 inf + 7909 62.237 * * [simplify]: Extracting #6: cost 0 inf + 11764 62.240 * [simplify]: Simplified to (* (* PI 2) n) 62.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 62.241 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 62.241 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 62.241 * * [simplify]: iters left: 5 (9 enodes) 62.249 * * [simplify]: iters left: 4 (38 enodes) 62.261 * * [simplify]: iters left: 3 (64 enodes) 62.273 * * [simplify]: iters left: 2 (102 enodes) 62.292 * * [simplify]: iters left: 1 (175 enodes) 62.341 * * [simplify]: Extracting #0: cost 1 inf + 0 62.341 * * [simplify]: Extracting #1: cost 13 inf + 0 62.341 * * [simplify]: Extracting #2: cost 59 inf + 1 62.341 * * [simplify]: Extracting #3: cost 82 inf + 132 62.342 * * [simplify]: Extracting #4: cost 42 inf + 5349 62.346 * * [simplify]: Extracting #5: cost 14 inf + 14425 62.350 * * [simplify]: Extracting #6: cost 0 inf + 23442 62.354 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 62.354 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (/ 1 (sqrt k)))) 62.354 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 62.354 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 62.354 * * [simplify]: iters left: 5 (7 enodes) 62.357 * * [simplify]: iters left: 4 (32 enodes) 62.366 * * [simplify]: iters left: 3 (57 enodes) 62.385 * * [simplify]: iters left: 2 (90 enodes) 62.416 * * [simplify]: iters left: 1 (170 enodes) 62.462 * * [simplify]: Extracting #0: cost 1 inf + 0 62.463 * * [simplify]: Extracting #1: cost 13 inf + 0 62.463 * * [simplify]: Extracting #2: cost 55 inf + 2 62.463 * * [simplify]: Extracting #3: cost 88 inf + 6 62.463 * * [simplify]: Extracting #4: cost 77 inf + 1344 62.465 * * [simplify]: Extracting #5: cost 20 inf + 14540 62.469 * * [simplify]: Extracting #6: cost 1 inf + 21921 62.473 * * [simplify]: Extracting #7: cost 0 inf + 21176 62.477 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 62.477 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 62.477 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 62.477 * * [simplify]: iters left: 5 (8 enodes) 62.480 * * [simplify]: iters left: 4 (36 enodes) 62.486 * * [simplify]: iters left: 3 (57 enodes) 62.496 * * [simplify]: iters left: 2 (92 enodes) 62.530 * * [simplify]: iters left: 1 (188 enodes) 62.578 * * [simplify]: Extracting #0: cost 1 inf + 0 62.578 * * [simplify]: Extracting #1: cost 13 inf + 0 62.578 * * [simplify]: Extracting #2: cost 58 inf + 1 62.578 * * [simplify]: Extracting #3: cost 91 inf + 6 62.579 * * [simplify]: Extracting #4: cost 87 inf + 1138 62.580 * * [simplify]: Extracting #5: cost 35 inf + 9706 62.582 * * [simplify]: Extracting #6: cost 17 inf + 12930 62.586 * * [simplify]: Extracting #7: cost 0 inf + 24388 62.589 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 62.589 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 62.589 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 62.589 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 62.589 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 62.590 * * [simplify]: iters left: 6 (11 enodes) 62.593 * * [simplify]: iters left: 5 (50 enodes) 62.602 * * [simplify]: iters left: 4 (97 enodes) 62.625 * * [simplify]: iters left: 3 (196 enodes) 62.709 * * [simplify]: Extracting #0: cost 1 inf + 0 62.709 * * [simplify]: Extracting #1: cost 49 inf + 0 62.710 * * [simplify]: Extracting #2: cost 135 inf + 1 62.711 * * [simplify]: Extracting #3: cost 177 inf + 639 62.713 * * [simplify]: Extracting #4: cost 133 inf + 7119 62.722 * * [simplify]: Extracting #5: cost 24 inf + 30350 62.735 * * [simplify]: Extracting #6: cost 0 inf + 37308 62.747 * * [simplify]: Extracting #7: cost 0 inf + 37228 62.760 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 62.760 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 62.760 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 62.760 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 62.760 * * [simplify]: iters left: 6 (11 enodes) 62.767 * * [simplify]: iters left: 5 (48 enodes) 62.783 * * [simplify]: iters left: 4 (79 enodes) 62.813 * * [simplify]: iters left: 3 (127 enodes) 62.851 * * [simplify]: iters left: 2 (246 enodes) 62.928 * * [simplify]: iters left: 1 (492 enodes) 63.142 * * [simplify]: Extracting #0: cost 1 inf + 0 63.143 * * [simplify]: Extracting #1: cost 26 inf + 0 63.143 * * [simplify]: Extracting #2: cost 138 inf + 0 63.145 * * [simplify]: Extracting #3: cost 275 inf + 4 63.147 * * [simplify]: Extracting #4: cost 297 inf + 182 63.150 * * [simplify]: Extracting #5: cost 276 inf + 2211 63.157 * * [simplify]: Extracting #6: cost 200 inf + 16237 63.181 * * [simplify]: Extracting #7: cost 72 inf + 103508 63.222 * * [simplify]: Extracting #8: cost 6 inf + 151479 63.267 * * [simplify]: Extracting #9: cost 0 inf + 152994 63.314 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 63.314 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ 1 (sqrt k)))) 63.314 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 63.314 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 63.315 * * [simplify]: iters left: 6 (12 enodes) 63.322 * * [simplify]: iters left: 5 (51 enodes) 63.340 * * [simplify]: iters left: 4 (84 enodes) 63.354 * * [simplify]: iters left: 3 (127 enodes) 63.380 * * [simplify]: iters left: 2 (212 enodes) 63.436 * * [simplify]: iters left: 1 (389 enodes) 63.605 * * [simplify]: Extracting #0: cost 1 inf + 0 63.605 * * [simplify]: Extracting #1: cost 3 inf + 0 63.605 * * [simplify]: Extracting #2: cost 5 inf + 0 63.605 * * [simplify]: Extracting #3: cost 34 inf + 0 63.606 * * [simplify]: Extracting #4: cost 116 inf + 1 63.607 * * [simplify]: Extracting #5: cost 167 inf + 176 63.609 * * [simplify]: Extracting #6: cost 165 inf + 726 63.613 * * [simplify]: Extracting #7: cost 91 inf + 13517 63.621 * * [simplify]: Extracting #8: cost 25 inf + 46336 63.631 * * [simplify]: Extracting #9: cost 0 inf + 68280 63.642 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 63.642 * [simplify]: Simplified (2 1 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)))) 63.642 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 63.642 * * [simplify]: iters left: 6 (11 enodes) 63.646 * * [simplify]: iters left: 5 (48 enodes) 63.654 * * [simplify]: iters left: 4 (77 enodes) 63.668 * * [simplify]: iters left: 3 (120 enodes) 63.695 * * [simplify]: iters left: 2 (218 enodes) 63.735 * * [simplify]: iters left: 1 (394 enodes) 63.850 * * [simplify]: Extracting #0: cost 1 inf + 0 63.850 * * [simplify]: Extracting #1: cost 3 inf + 0 63.850 * * [simplify]: Extracting #2: cost 29 inf + 0 63.851 * * [simplify]: Extracting #3: cost 109 inf + 1 63.852 * * [simplify]: Extracting #4: cost 179 inf + 176 63.854 * * [simplify]: Extracting #5: cost 171 inf + 1098 63.859 * * [simplify]: Extracting #6: cost 92 inf + 12180 63.873 * * [simplify]: Extracting #7: cost 26 inf + 47821 63.895 * * [simplify]: Extracting #8: cost 0 inf + 68633 63.917 * * [simplify]: Extracting #9: cost 0 inf + 65018 63.932 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 63.932 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (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))))) (/ 1 (sqrt k)))) 63.932 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 63.932 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 63.932 * * [simplify]: iters left: 6 (12 enodes) 63.937 * * [simplify]: iters left: 5 (54 enodes) 63.947 * * [simplify]: iters left: 4 (107 enodes) 63.970 * * [simplify]: iters left: 3 (222 enodes) 64.052 * * [simplify]: iters left: 2 (475 enodes) 64.317 * * [simplify]: Extracting #0: cost 1 inf + 0 64.318 * * [simplify]: Extracting #1: cost 47 inf + 0 64.318 * * [simplify]: Extracting #2: cost 142 inf + 3 64.319 * * [simplify]: Extracting #3: cost 194 inf + 5 64.320 * * [simplify]: Extracting #4: cost 194 inf + 1683 64.322 * * [simplify]: Extracting #5: cost 137 inf + 12622 64.336 * * [simplify]: Extracting #6: cost 45 inf + 79968 64.365 * * [simplify]: Extracting #7: cost 0 inf + 123726 64.385 * * [simplify]: Extracting #8: cost 0 inf + 120622 64.413 * * [simplify]: Extracting #9: cost 0 inf + 120571 64.449 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 64.449 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (/ 1 (sqrt k)))) 64.450 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 64.450 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 64.450 * * [simplify]: iters left: 6 (11 enodes) 64.458 * * [simplify]: iters left: 5 (48 enodes) 64.470 * * [simplify]: iters left: 4 (78 enodes) 64.483 * * [simplify]: iters left: 3 (122 enodes) 64.525 * * [simplify]: iters left: 2 (223 enodes) 64.576 * * [simplify]: iters left: 1 (410 enodes) 64.719 * * [simplify]: Extracting #0: cost 1 inf + 0 64.719 * * [simplify]: Extracting #1: cost 4 inf + 0 64.720 * * [simplify]: Extracting #2: cost 34 inf + 0 64.720 * * [simplify]: Extracting #3: cost 129 inf + 1 64.721 * * [simplify]: Extracting #4: cost 173 inf + 220 64.722 * * [simplify]: Extracting #5: cost 166 inf + 932 64.724 * * [simplify]: Extracting #6: cost 88 inf + 11591 64.731 * * [simplify]: Extracting #7: cost 23 inf + 44560 64.743 * * [simplify]: Extracting #8: cost 0 inf + 67855 64.762 * * [simplify]: Extracting #9: cost 0 inf + 67735 64.781 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 64.781 * [simplify]: Simplified (2 1 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)))) 64.782 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 64.782 * * [simplify]: iters left: 6 (11 enodes) 64.785 * * [simplify]: iters left: 5 (48 enodes) 64.793 * * [simplify]: iters left: 4 (78 enodes) 64.810 * * [simplify]: iters left: 3 (122 enodes) 64.850 * * [simplify]: iters left: 2 (223 enodes) 64.902 * * [simplify]: iters left: 1 (410 enodes) 65.071 * * [simplify]: Extracting #0: cost 1 inf + 0 65.071 * * [simplify]: Extracting #1: cost 4 inf + 0 65.071 * * [simplify]: Extracting #2: cost 34 inf + 0 65.071 * * [simplify]: Extracting #3: cost 129 inf + 1 65.072 * * [simplify]: Extracting #4: cost 173 inf + 220 65.073 * * [simplify]: Extracting #5: cost 166 inf + 932 65.075 * * [simplify]: Extracting #6: cost 88 inf + 11591 65.086 * * [simplify]: Extracting #7: cost 23 inf + 44560 65.103 * * [simplify]: Extracting #8: cost 0 inf + 67855 65.114 * * [simplify]: Extracting #9: cost 0 inf + 67735 65.132 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 65.133 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ 1 (sqrt k)))) 65.133 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 65.133 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 65.133 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 65.134 * * [simplify]: iters left: 6 (11 enodes) 65.138 * * [simplify]: iters left: 5 (51 enodes) 65.147 * * [simplify]: iters left: 4 (87 enodes) 65.163 * * [simplify]: iters left: 3 (146 enodes) 65.206 * * [simplify]: iters left: 2 (263 enodes) 65.269 * * [simplify]: iters left: 1 (487 enodes) 65.504 * * [simplify]: Extracting #0: cost 1 inf + 0 65.504 * * [simplify]: Extracting #1: cost 26 inf + 0 65.505 * * [simplify]: Extracting #2: cost 106 inf + 1 65.506 * * [simplify]: Extracting #3: cost 193 inf + 178 65.509 * * [simplify]: Extracting #4: cost 194 inf + 772 65.514 * * [simplify]: Extracting #5: cost 111 inf + 9358 65.526 * * [simplify]: Extracting #6: cost 38 inf + 33372 65.549 * * [simplify]: Extracting #7: cost 1 inf + 64754 65.572 * * [simplify]: Extracting #8: cost 0 inf + 63763 65.595 * * [simplify]: Extracting #9: cost 0 inf + 63592 65.608 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 65.608 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ 1 (sqrt k)))) 65.609 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 65.609 * * [simplify]: iters left: 6 (11 enodes) 65.613 * * [simplify]: iters left: 5 (51 enodes) 65.622 * * [simplify]: iters left: 4 (87 enodes) 65.638 * * [simplify]: iters left: 3 (146 enodes) 65.678 * * [simplify]: iters left: 2 (263 enodes) 65.778 * * [simplify]: iters left: 1 (487 enodes) 65.977 * * [simplify]: Extracting #0: cost 1 inf + 0 65.977 * * [simplify]: Extracting #1: cost 26 inf + 0 65.978 * * [simplify]: Extracting #2: cost 106 inf + 1 65.979 * * [simplify]: Extracting #3: cost 193 inf + 178 65.982 * * [simplify]: Extracting #4: cost 194 inf + 772 65.991 * * [simplify]: Extracting #5: cost 111 inf + 9358 66.004 * * [simplify]: Extracting #6: cost 38 inf + 33372 66.025 * * [simplify]: Extracting #7: cost 1 inf + 64754 66.048 * * [simplify]: Extracting #8: cost 0 inf + 63763 66.070 * * [simplify]: Extracting #9: cost 0 inf + 63592 66.089 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 66.090 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (/ 1 (sqrt k)))) 66.090 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 66.090 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 66.090 * * [simplify]: iters left: 6 (11 enodes) 66.094 * * [simplify]: iters left: 5 (45 enodes) 66.102 * * [simplify]: iters left: 4 (74 enodes) 66.116 * * [simplify]: iters left: 3 (118 enodes) 66.159 * * [simplify]: iters left: 2 (216 enodes) 66.211 * * [simplify]: iters left: 1 (389 enodes) 66.365 * * [simplify]: Extracting #0: cost 1 inf + 0 66.365 * * [simplify]: Extracting #1: cost 2 inf + 0 66.365 * * [simplify]: Extracting #2: cost 30 inf + 0 66.366 * * [simplify]: Extracting #3: cost 111 inf + 1 66.366 * * [simplify]: Extracting #4: cost 170 inf + 218 66.367 * * [simplify]: Extracting #5: cost 169 inf + 561 66.369 * * [simplify]: Extracting #6: cost 108 inf + 8147 66.375 * * [simplify]: Extracting #7: cost 43 inf + 32044 66.386 * * [simplify]: Extracting #8: cost 3 inf + 66900 66.403 * * [simplify]: Extracting #9: cost 0 inf + 69376 66.430 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 66.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (/ 1 (sqrt k)))) 66.430 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 66.430 * [simplify]: Simplifying (expm1 (/ 1 (sqrt k))) 66.430 * * [simplify]: iters left: 4 (5 enodes) 66.433 * * [simplify]: iters left: 3 (17 enodes) 66.439 * * [simplify]: iters left: 2 (19 enodes) 66.444 * * [simplify]: Extracting #0: cost 1 inf + 0 66.444 * * [simplify]: Extracting #1: cost 3 inf + 0 66.444 * * [simplify]: Extracting #2: cost 6 inf + 0 66.444 * * [simplify]: Extracting #3: cost 7 inf + 1 66.445 * * [simplify]: Extracting #4: cost 0 inf + 552 66.445 * [simplify]: Simplified to (expm1 (/ 1 (sqrt k))) 66.445 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log1p (expm1 (/ 1 (sqrt k)))))) 66.445 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 66.445 * [simplify]: Simplifying (log1p (/ 1 (sqrt k))) 66.445 * * [simplify]: iters left: 4 (5 enodes) 66.448 * * [simplify]: iters left: 3 (17 enodes) 66.454 * * [simplify]: iters left: 2 (19 enodes) 66.460 * * [simplify]: Extracting #0: cost 1 inf + 0 66.460 * * [simplify]: Extracting #1: cost 3 inf + 0 66.460 * * [simplify]: Extracting #2: cost 6 inf + 0 66.460 * * [simplify]: Extracting #3: cost 7 inf + 1 66.460 * * [simplify]: Extracting #4: cost 0 inf + 592 66.461 * [simplify]: Simplified to (log1p (/ 1 (sqrt k))) 66.461 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (expm1 (log1p (/ 1 (sqrt k)))))) 66.461 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 66.461 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 66.461 * [simplify]: Simplifying (- 1/2) 66.461 * * [simplify]: iters left: 2 (2 enodes) 66.463 * * [simplify]: iters left: 1 (7 enodes) 66.466 * * [simplify]: Extracting #0: cost 1 inf + 0 66.466 * * [simplify]: Extracting #1: cost 0 inf + 1 66.466 * [simplify]: Simplified to -1/2 66.466 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 66.466 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 66.466 * [simplify]: Simplifying (- 1) 66.466 * * [simplify]: iters left: 2 (2 enodes) 66.469 * * [simplify]: iters left: 1 (9 enodes) 66.472 * * [simplify]: Extracting #0: cost 1 inf + 0 66.472 * * [simplify]: Extracting #1: cost 0 inf + 1 66.472 * [simplify]: Simplified to -1 66.472 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 66.472 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 66.473 * [simplify]: Simplifying (- (/ 1 2)) 66.473 * * [simplify]: iters left: 4 (4 enodes) 66.477 * * [simplify]: iters left: 3 (19 enodes) 66.484 * * [simplify]: iters left: 2 (23 enodes) 66.492 * * [simplify]: Extracting #0: cost 1 inf + 0 66.492 * * [simplify]: Extracting #1: cost 0 inf + 1 66.492 * [simplify]: Simplified to -1/2 66.492 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 66.492 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 66.492 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 66.493 * [simplify]: Simplifying (- (log (sqrt k))) 66.493 * * [simplify]: iters left: 4 (4 enodes) 66.494 * * [simplify]: iters left: 3 (12 enodes) 66.498 * * [simplify]: Extracting #0: cost 1 inf + 0 66.498 * * [simplify]: Extracting #1: cost 3 inf + 0 66.498 * * [simplify]: Extracting #2: cost 5 inf + 0 66.498 * * [simplify]: Extracting #3: cost 7 inf + 0 66.498 * * [simplify]: Extracting #4: cost 6 inf + 1 66.498 * * [simplify]: Extracting #5: cost 0 inf + 607 66.498 * [simplify]: Simplified to (- (log (sqrt k))) 66.498 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 66.499 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 66.499 * [simplify]: Simplifying (- 0 (log (sqrt k))) 66.499 * * [simplify]: iters left: 4 (5 enodes) 66.502 * * [simplify]: iters left: 3 (17 enodes) 66.508 * * [simplify]: iters left: 2 (21 enodes) 66.513 * * [simplify]: iters left: 1 (23 enodes) 66.520 * * [simplify]: Extracting #0: cost 1 inf + 0 66.520 * * [simplify]: Extracting #1: cost 4 inf + 0 66.520 * * [simplify]: Extracting #2: cost 5 inf + 1 66.520 * * [simplify]: Extracting #3: cost 7 inf + 1 66.521 * * [simplify]: Extracting #4: cost 0 inf + 608 66.521 * [simplify]: Simplified to (- (log (sqrt k))) 66.521 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 66.521 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 66.521 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 66.521 * * [simplify]: iters left: 4 (6 enodes) 66.525 * * [simplify]: iters left: 3 (22 enodes) 66.531 * * [simplify]: Extracting #0: cost 1 inf + 0 66.531 * * [simplify]: Extracting #1: cost 4 inf + 0 66.531 * * [simplify]: Extracting #2: cost 5 inf + 1 66.531 * * [simplify]: Extracting #3: cost 7 inf + 1 66.532 * * [simplify]: Extracting #4: cost 6 inf + 2 66.532 * * [simplify]: Extracting #5: cost 1 inf + 457 66.532 * * [simplify]: Extracting #6: cost 0 inf + 608 66.532 * [simplify]: Simplified to (- (log (sqrt k))) 66.532 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 66.532 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 66.533 * [simplify]: Simplifying (log (/ 1 (sqrt k))) 66.533 * * [simplify]: iters left: 4 (5 enodes) 66.536 * * [simplify]: iters left: 3 (21 enodes) 66.542 * * [simplify]: iters left: 2 (25 enodes) 66.550 * * [simplify]: iters left: 1 (26 enodes) 66.558 * * [simplify]: Extracting #0: cost 1 inf + 0 66.558 * * [simplify]: Extracting #1: cost 5 inf + 0 66.558 * * [simplify]: Extracting #2: cost 8 inf + 1 66.558 * * [simplify]: Extracting #3: cost 9 inf + 2 66.558 * * [simplify]: Extracting #4: cost 8 inf + 3 66.558 * * [simplify]: Extracting #5: cost 2 inf + 512 66.558 * * [simplify]: Extracting #6: cost 0 inf + 774 66.559 * * [simplify]: Extracting #7: cost 0 inf + 773 66.559 * [simplify]: Simplified to (- (log (sqrt k))) 66.559 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 66.559 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 66.559 * [simplify]: Simplifying (exp (/ 1 (sqrt k))) 66.559 * * [simplify]: iters left: 4 (5 enodes) 66.562 * * [simplify]: iters left: 3 (17 enodes) 66.567 * * [simplify]: iters left: 2 (19 enodes) 66.575 * * [simplify]: Extracting #0: cost 1 inf + 0 66.575 * * [simplify]: Extracting #1: cost 3 inf + 0 66.575 * * [simplify]: Extracting #2: cost 6 inf + 0 66.575 * * [simplify]: Extracting #3: cost 7 inf + 1 66.575 * * [simplify]: Extracting #4: cost 0 inf + 552 66.576 * [simplify]: Simplified to (exp (/ 1 (sqrt k))) 66.576 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (log (exp (/ 1 (sqrt k)))))) 66.576 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 66.576 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 66.576 * * [simplify]: iters left: 6 (8 enodes) 66.581 * * [simplify]: iters left: 5 (26 enodes) 66.589 * * [simplify]: iters left: 4 (43 enodes) 66.603 * * [simplify]: iters left: 3 (57 enodes) 66.618 * * [simplify]: iters left: 2 (65 enodes) 66.633 * * [simplify]: iters left: 1 (67 enodes) 66.648 * * [simplify]: Extracting #0: cost 1 inf + 0 66.649 * * [simplify]: Extracting #1: cost 11 inf + 0 66.649 * * [simplify]: Extracting #2: cost 8 inf + 412 66.649 * * [simplify]: Extracting #3: cost 0 inf + 986 66.650 * [simplify]: Simplified to (/ 1 (* k (sqrt k))) 66.650 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ 1 (* k (sqrt k)))))) 66.650 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 66.650 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 66.650 * * [simplify]: iters left: 6 (6 enodes) 66.653 * * [simplify]: iters left: 5 (20 enodes) 66.660 * * [simplify]: iters left: 4 (22 enodes) 66.667 * * [simplify]: Extracting #0: cost 1 inf + 0 66.667 * * [simplify]: Extracting #1: cost 3 inf + 0 66.667 * * [simplify]: Extracting #2: cost 5 inf + 0 66.667 * * [simplify]: Extracting #3: cost 8 inf + 0 66.667 * * [simplify]: Extracting #4: cost 9 inf + 1 66.667 * * [simplify]: Extracting #5: cost 8 inf + 2 66.667 * * [simplify]: Extracting #6: cost 1 inf + 774 66.667 * * [simplify]: Extracting #7: cost 0 inf + 976 66.668 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 66.668 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))))) 66.668 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 66.668 * * [simplify]: iters left: 4 (5 enodes) 66.671 * * [simplify]: iters left: 3 (17 enodes) 66.677 * * [simplify]: iters left: 2 (19 enodes) 66.682 * * [simplify]: Extracting #0: cost 1 inf + 0 66.683 * * [simplify]: Extracting #1: cost 3 inf + 0 66.683 * * [simplify]: Extracting #2: cost 6 inf + 0 66.683 * * [simplify]: Extracting #3: cost 7 inf + 1 66.683 * * [simplify]: Extracting #4: cost 0 inf + 572 66.683 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 66.683 * [simplify]: Simplified (2 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)))))) 66.683 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 66.684 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) 66.684 * * [simplify]: iters left: 6 (6 enodes) 66.687 * * [simplify]: iters left: 5 (27 enodes) 66.694 * * [simplify]: iters left: 4 (40 enodes) 66.703 * * [simplify]: iters left: 3 (61 enodes) 66.716 * * [simplify]: iters left: 2 (92 enodes) 66.739 * * [simplify]: iters left: 1 (138 enodes) 66.772 * * [simplify]: Extracting #0: cost 1 inf + 0 66.772 * * [simplify]: Extracting #1: cost 21 inf + 0 66.772 * * [simplify]: Extracting #2: cost 43 inf + 3 66.773 * * [simplify]: Extracting #3: cost 26 inf + 3391 66.774 * * [simplify]: Extracting #4: cost 3 inf + 11339 66.775 * * [simplify]: Extracting #5: cost 0 inf + 12509 66.776 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 66.776 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 66.777 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 66.777 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 66.777 * * [simplify]: iters left: 4 (5 enodes) 66.778 * * [simplify]: iters left: 3 (17 enodes) 66.781 * * [simplify]: iters left: 2 (19 enodes) 66.784 * * [simplify]: Extracting #0: cost 1 inf + 0 66.784 * * [simplify]: Extracting #1: cost 3 inf + 0 66.784 * * [simplify]: Extracting #2: cost 6 inf + 0 66.784 * * [simplify]: Extracting #3: cost 7 inf + 1 66.784 * * [simplify]: Extracting #4: cost 0 inf + 492 66.785 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 66.785 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))))) 66.785 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 66.785 * * [simplify]: iters left: 4 (5 enodes) 66.786 * * [simplify]: iters left: 3 (17 enodes) 66.789 * * [simplify]: iters left: 2 (19 enodes) 66.792 * * [simplify]: Extracting #0: cost 1 inf + 0 66.792 * * [simplify]: Extracting #1: cost 3 inf + 0 66.792 * * [simplify]: Extracting #2: cost 6 inf + 0 66.792 * * [simplify]: Extracting #3: cost 7 inf + 1 66.792 * * [simplify]: Extracting #4: cost 0 inf + 492 66.792 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 66.792 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))))) 66.792 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 66.792 * [simplify]: Simplifying (- 1) 66.792 * * [simplify]: iters left: 2 (2 enodes) 66.794 * * [simplify]: iters left: 1 (9 enodes) 66.795 * * [simplify]: Extracting #0: cost 1 inf + 0 66.795 * * [simplify]: Extracting #1: cost 0 inf + 1 66.795 * [simplify]: Simplified to -1 66.795 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ -1 (- (sqrt k))))) 66.795 * [simplify]: Simplifying (- (sqrt k)) 66.796 * * [simplify]: iters left: 3 (3 enodes) 66.796 * * [simplify]: iters left: 2 (9 enodes) 66.797 * * [simplify]: Extracting #0: cost 1 inf + 0 66.797 * * [simplify]: Extracting #1: cost 3 inf + 0 66.797 * * [simplify]: Extracting #2: cost 5 inf + 0 66.797 * * [simplify]: Extracting #3: cost 4 inf + 1 66.797 * * [simplify]: Extracting #4: cost 0 inf + 245 66.797 * [simplify]: Simplified to (- (sqrt k)) 66.797 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ -1 (- (sqrt k))))) 66.798 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 66.798 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 66.798 * * [simplify]: iters left: 6 (8 enodes) 66.802 * * [simplify]: iters left: 5 (32 enodes) 66.809 * * [simplify]: iters left: 4 (48 enodes) 66.817 * * [simplify]: iters left: 3 (77 enodes) 66.833 * * [simplify]: iters left: 2 (80 enodes) 66.847 * * [simplify]: Extracting #0: cost 1 inf + 0 66.847 * * [simplify]: Extracting #1: cost 6 inf + 0 66.847 * * [simplify]: Extracting #2: cost 9 inf + 1 66.847 * * [simplify]: Extracting #3: cost 11 inf + 1 66.847 * * [simplify]: Extracting #4: cost 2 inf + 1012 66.848 * * [simplify]: Extracting #5: cost 0 inf + 1376 66.848 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 66.848 * [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)))))) 66.849 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 66.849 * * [simplify]: iters left: 4 (6 enodes) 66.853 * * [simplify]: iters left: 3 (20 enodes) 66.859 * * [simplify]: iters left: 2 (22 enodes) 66.865 * * [simplify]: Extracting #0: cost 1 inf + 0 66.865 * * [simplify]: Extracting #1: cost 4 inf + 0 66.865 * * [simplify]: Extracting #2: cost 5 inf + 1 66.865 * * [simplify]: Extracting #3: cost 7 inf + 1 66.865 * * [simplify]: Extracting #4: cost 1 inf + 488 66.865 * * [simplify]: Extracting #5: cost 0 inf + 650 66.866 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 66.866 * [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)))))) 66.866 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 66.866 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 66.867 * * [simplify]: iters left: 6 (8 enodes) 66.872 * * [simplify]: iters left: 5 (29 enodes) 66.881 * * [simplify]: iters left: 4 (31 enodes) 66.889 * * [simplify]: iters left: 3 (32 enodes) 66.898 * * [simplify]: iters left: 2 (33 enodes) 66.906 * * [simplify]: Extracting #0: cost 1 inf + 0 66.906 * * [simplify]: Extracting #1: cost 4 inf + 0 66.907 * * [simplify]: Extracting #2: cost 6 inf + 1 66.907 * * [simplify]: Extracting #3: cost 9 inf + 1 66.907 * * [simplify]: Extracting #4: cost 8 inf + 2 66.907 * * [simplify]: Extracting #5: cost 2 inf + 729 66.907 * * [simplify]: Extracting #6: cost 0 inf + 972 66.907 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 66.908 * [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)))))) 66.908 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 66.908 * * [simplify]: iters left: 4 (6 enodes) 66.912 * * [simplify]: iters left: 3 (20 enodes) 66.919 * * [simplify]: iters left: 2 (22 enodes) 66.926 * * [simplify]: Extracting #0: cost 1 inf + 0 66.926 * * [simplify]: Extracting #1: cost 4 inf + 0 66.926 * * [simplify]: Extracting #2: cost 5 inf + 1 66.926 * * [simplify]: Extracting #3: cost 7 inf + 1 66.926 * * [simplify]: Extracting #4: cost 1 inf + 568 66.926 * * [simplify]: Extracting #5: cost 0 inf + 730 66.926 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 66.926 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 66.927 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 66.927 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 66.927 * * [simplify]: iters left: 5 (7 enodes) 66.932 * * [simplify]: iters left: 4 (25 enodes) 66.943 * * [simplify]: iters left: 3 (27 enodes) 66.950 * * [simplify]: iters left: 2 (28 enodes) 66.958 * * [simplify]: iters left: 1 (29 enodes) 66.965 * * [simplify]: Extracting #0: cost 1 inf + 0 66.965 * * [simplify]: Extracting #1: cost 4 inf + 0 66.965 * * [simplify]: Extracting #2: cost 5 inf + 1 66.965 * * [simplify]: Extracting #3: cost 7 inf + 1 66.965 * * [simplify]: Extracting #4: cost 6 inf + 2 66.966 * * [simplify]: Extracting #5: cost 2 inf + 368 66.966 * * [simplify]: Extracting #6: cost 0 inf + 490 66.966 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 66.966 * [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)))))) 66.967 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 66.967 * * [simplify]: iters left: 4 (6 enodes) 66.971 * * [simplify]: iters left: 3 (20 enodes) 66.977 * * [simplify]: iters left: 2 (22 enodes) 66.983 * * [simplify]: Extracting #0: cost 1 inf + 0 66.983 * * [simplify]: Extracting #1: cost 4 inf + 0 66.983 * * [simplify]: Extracting #2: cost 5 inf + 1 66.983 * * [simplify]: Extracting #3: cost 7 inf + 1 66.983 * * [simplify]: Extracting #4: cost 1 inf + 368 66.983 * * [simplify]: Extracting #5: cost 0 inf + 490 66.983 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 66.983 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 66.984 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 66.984 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 66.984 * * [simplify]: iters left: 5 (5 enodes) 66.993 * * [simplify]: iters left: 4 (19 enodes) 66.998 * * [simplify]: iters left: 3 (21 enodes) 67.002 * * [simplify]: Extracting #0: cost 1 inf + 0 67.002 * * [simplify]: Extracting #1: cost 0 inf + 1 67.002 * [simplify]: Simplified to 1 67.002 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 67.003 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 67.003 * * [simplify]: iters left: 3 (5 enodes) 67.007 * * [simplify]: iters left: 2 (17 enodes) 67.012 * * [simplify]: iters left: 1 (19 enodes) 67.018 * * [simplify]: Extracting #0: cost 1 inf + 0 67.018 * * [simplify]: Extracting #1: cost 4 inf + 0 67.018 * * [simplify]: Extracting #2: cost 5 inf + 1 67.018 * * [simplify]: Extracting #3: cost 0 inf + 248 67.018 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.018 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.018 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 67.018 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 67.018 * * [simplify]: iters left: 5 (7 enodes) 67.023 * * [simplify]: iters left: 4 (25 enodes) 67.032 * * [simplify]: iters left: 3 (27 enodes) 67.039 * * [simplify]: iters left: 2 (28 enodes) 67.047 * * [simplify]: iters left: 1 (29 enodes) 67.054 * * [simplify]: Extracting #0: cost 1 inf + 0 67.054 * * [simplify]: Extracting #1: cost 4 inf + 0 67.054 * * [simplify]: Extracting #2: cost 5 inf + 1 67.054 * * [simplify]: Extracting #3: cost 7 inf + 1 67.055 * * [simplify]: Extracting #4: cost 6 inf + 2 67.055 * * [simplify]: Extracting #5: cost 2 inf + 368 67.055 * * [simplify]: Extracting #6: cost 0 inf + 490 67.055 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.055 * [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)))))) 67.056 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 67.056 * * [simplify]: iters left: 4 (6 enodes) 67.059 * * [simplify]: iters left: 3 (20 enodes) 67.065 * * [simplify]: iters left: 2 (22 enodes) 67.071 * * [simplify]: Extracting #0: cost 1 inf + 0 67.072 * * [simplify]: Extracting #1: cost 4 inf + 0 67.072 * * [simplify]: Extracting #2: cost 5 inf + 1 67.072 * * [simplify]: Extracting #3: cost 7 inf + 1 67.072 * * [simplify]: Extracting #4: cost 1 inf + 368 67.072 * * [simplify]: Extracting #5: cost 0 inf + 490 67.072 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.072 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 67.072 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 67.073 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 67.073 * * [simplify]: iters left: 5 (4 enodes) 67.080 * * [simplify]: iters left: 4 (14 enodes) 67.083 * * [simplify]: iters left: 3 (16 enodes) 67.086 * * [simplify]: Extracting #0: cost 1 inf + 0 67.086 * * [simplify]: Extracting #1: cost 0 inf + 1 67.086 * [simplify]: Simplified to 1 67.086 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 67.087 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 67.087 * * [simplify]: iters left: 3 (5 enodes) 67.091 * * [simplify]: iters left: 2 (17 enodes) 67.093 * * [simplify]: iters left: 1 (19 enodes) 67.098 * * [simplify]: Extracting #0: cost 1 inf + 0 67.098 * * [simplify]: Extracting #1: cost 4 inf + 0 67.098 * * [simplify]: Extracting #2: cost 5 inf + 1 67.098 * * [simplify]: Extracting #3: cost 0 inf + 248 67.098 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.098 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.098 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 67.098 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.099 * * [simplify]: iters left: 6 (7 enodes) 67.101 * * [simplify]: iters left: 5 (25 enodes) 67.105 * * [simplify]: iters left: 4 (32 enodes) 67.109 * * [simplify]: iters left: 3 (34 enodes) 67.114 * * [simplify]: Extracting #0: cost 1 inf + 0 67.114 * * [simplify]: Extracting #1: cost 7 inf + 0 67.114 * * [simplify]: Extracting #2: cost 11 inf + 1 67.114 * * [simplify]: Extracting #3: cost 13 inf + 1 67.114 * * [simplify]: Extracting #4: cost 10 inf + 84 67.114 * * [simplify]: Extracting #5: cost 4 inf + 1014 67.114 * * [simplify]: Extracting #6: cost 1 inf + 1498 67.115 * * [simplify]: Extracting #7: cost 0 inf + 1700 67.115 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 67.115 * [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)))))) 67.115 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 67.115 * * [simplify]: iters left: 4 (6 enodes) 67.117 * * [simplify]: iters left: 3 (20 enodes) 67.121 * * [simplify]: iters left: 2 (22 enodes) 67.125 * * [simplify]: Extracting #0: cost 1 inf + 0 67.125 * * [simplify]: Extracting #1: cost 4 inf + 0 67.125 * * [simplify]: Extracting #2: cost 5 inf + 1 67.125 * * [simplify]: Extracting #3: cost 7 inf + 1 67.125 * * [simplify]: Extracting #4: cost 1 inf + 488 67.125 * * [simplify]: Extracting #5: cost 0 inf + 650 67.125 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 67.125 * [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)))))) 67.126 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 67.126 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 67.126 * * [simplify]: iters left: 6 (7 enodes) 67.131 * * [simplify]: iters left: 5 (24 enodes) 67.134 * * [simplify]: iters left: 4 (26 enodes) 67.138 * * [simplify]: Extracting #0: cost 1 inf + 0 67.138 * * [simplify]: Extracting #1: cost 4 inf + 0 67.138 * * [simplify]: Extracting #2: cost 6 inf + 1 67.138 * * [simplify]: Extracting #3: cost 9 inf + 1 67.138 * * [simplify]: Extracting #4: cost 8 inf + 2 67.138 * * [simplify]: Extracting #5: cost 2 inf + 730 67.139 * * [simplify]: Extracting #6: cost 0 inf + 972 67.139 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 67.139 * [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)))))) 67.139 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 67.139 * * [simplify]: iters left: 4 (6 enodes) 67.141 * * [simplify]: iters left: 3 (20 enodes) 67.144 * * [simplify]: iters left: 2 (22 enodes) 67.148 * * [simplify]: Extracting #0: cost 1 inf + 0 67.148 * * [simplify]: Extracting #1: cost 4 inf + 0 67.148 * * [simplify]: Extracting #2: cost 5 inf + 1 67.148 * * [simplify]: Extracting #3: cost 7 inf + 1 67.148 * * [simplify]: Extracting #4: cost 1 inf + 568 67.148 * * [simplify]: Extracting #5: cost 0 inf + 730 67.148 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 67.148 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 67.148 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 67.149 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 67.149 * * [simplify]: iters left: 4 (6 enodes) 67.151 * * [simplify]: iters left: 3 (20 enodes) 67.154 * * [simplify]: iters left: 2 (22 enodes) 67.158 * * [simplify]: Extracting #0: cost 1 inf + 0 67.158 * * [simplify]: Extracting #1: cost 4 inf + 0 67.159 * * [simplify]: Extracting #2: cost 5 inf + 1 67.159 * * [simplify]: Extracting #3: cost 7 inf + 1 67.159 * * [simplify]: Extracting #4: cost 1 inf + 368 67.159 * * [simplify]: Extracting #5: cost 0 inf + 490 67.159 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.159 * [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)))))) 67.160 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 67.160 * * [simplify]: iters left: 4 (6 enodes) 67.164 * * [simplify]: iters left: 3 (20 enodes) 67.170 * * [simplify]: iters left: 2 (22 enodes) 67.174 * * [simplify]: Extracting #0: cost 1 inf + 0 67.174 * * [simplify]: Extracting #1: cost 4 inf + 0 67.174 * * [simplify]: Extracting #2: cost 5 inf + 1 67.174 * * [simplify]: Extracting #3: cost 7 inf + 1 67.174 * * [simplify]: Extracting #4: cost 1 inf + 368 67.174 * * [simplify]: Extracting #5: cost 0 inf + 490 67.174 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.174 * [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)))))) 67.174 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 67.174 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 67.174 * * [simplify]: iters left: 3 (3 enodes) 67.176 * * [simplify]: iters left: 2 (9 enodes) 67.178 * * [simplify]: iters left: 1 (11 enodes) 67.179 * * [simplify]: Extracting #0: cost 1 inf + 0 67.179 * * [simplify]: Extracting #1: cost 0 inf + 1 67.179 * [simplify]: Simplified to 1 67.179 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 67.180 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 67.180 * * [simplify]: iters left: 3 (5 enodes) 67.182 * * [simplify]: iters left: 2 (17 enodes) 67.184 * * [simplify]: iters left: 1 (19 enodes) 67.187 * * [simplify]: Extracting #0: cost 1 inf + 0 67.187 * * [simplify]: Extracting #1: cost 4 inf + 0 67.187 * * [simplify]: Extracting #2: cost 5 inf + 1 67.187 * * [simplify]: Extracting #3: cost 0 inf + 248 67.187 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.187 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.187 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 67.188 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 67.188 * * [simplify]: iters left: 4 (6 enodes) 67.190 * * [simplify]: iters left: 3 (20 enodes) 67.195 * * [simplify]: iters left: 2 (22 enodes) 67.198 * * [simplify]: Extracting #0: cost 1 inf + 0 67.198 * * [simplify]: Extracting #1: cost 4 inf + 0 67.198 * * [simplify]: Extracting #2: cost 5 inf + 1 67.198 * * [simplify]: Extracting #3: cost 7 inf + 1 67.198 * * [simplify]: Extracting #4: cost 1 inf + 368 67.198 * * [simplify]: Extracting #5: cost 0 inf + 490 67.198 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.198 * [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)))))) 67.198 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 67.198 * * [simplify]: iters left: 4 (6 enodes) 67.202 * * [simplify]: iters left: 3 (20 enodes) 67.208 * * [simplify]: iters left: 2 (22 enodes) 67.214 * * [simplify]: Extracting #0: cost 1 inf + 0 67.214 * * [simplify]: Extracting #1: cost 4 inf + 0 67.214 * * [simplify]: Extracting #2: cost 5 inf + 1 67.214 * * [simplify]: Extracting #3: cost 7 inf + 1 67.214 * * [simplify]: Extracting #4: cost 1 inf + 368 67.215 * * [simplify]: Extracting #5: cost 0 inf + 490 67.215 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.215 * [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)))))) 67.215 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 67.215 * [simplify]: Simplifying (/ (sqrt 1) 1) 67.215 * * [simplify]: iters left: 3 (3 enodes) 67.219 * * [simplify]: iters left: 2 (9 enodes) 67.222 * * [simplify]: iters left: 1 (11 enodes) 67.224 * * [simplify]: Extracting #0: cost 1 inf + 0 67.224 * * [simplify]: Extracting #1: cost 0 inf + 1 67.224 * [simplify]: Simplified to 1 67.224 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 67.225 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 67.225 * * [simplify]: iters left: 3 (5 enodes) 67.229 * * [simplify]: iters left: 2 (17 enodes) 67.234 * * [simplify]: iters left: 1 (19 enodes) 67.240 * * [simplify]: Extracting #0: cost 1 inf + 0 67.240 * * [simplify]: Extracting #1: cost 4 inf + 0 67.240 * * [simplify]: Extracting #2: cost 5 inf + 1 67.240 * * [simplify]: Extracting #3: cost 0 inf + 248 67.240 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.240 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.240 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 67.241 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.241 * * [simplify]: iters left: 6 (6 enodes) 67.244 * * [simplify]: iters left: 5 (22 enodes) 67.251 * * [simplify]: iters left: 4 (26 enodes) 67.259 * * [simplify]: Extracting #0: cost 1 inf + 0 67.259 * * [simplify]: Extracting #1: cost 6 inf + 0 67.259 * * [simplify]: Extracting #2: cost 9 inf + 1 67.259 * * [simplify]: Extracting #3: cost 11 inf + 1 67.259 * * [simplify]: Extracting #4: cost 8 inf + 84 67.259 * * [simplify]: Extracting #5: cost 2 inf + 1013 67.260 * * [simplify]: Extracting #6: cost 0 inf + 1376 67.260 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.260 * [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)))))) 67.261 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 67.261 * * [simplify]: iters left: 4 (5 enodes) 67.263 * * [simplify]: iters left: 3 (17 enodes) 67.269 * * [simplify]: iters left: 2 (19 enodes) 67.274 * * [simplify]: Extracting #0: cost 1 inf + 0 67.274 * * [simplify]: Extracting #1: cost 4 inf + 0 67.275 * * [simplify]: Extracting #2: cost 5 inf + 1 67.275 * * [simplify]: Extracting #3: cost 7 inf + 1 67.275 * * [simplify]: Extracting #4: cost 0 inf + 650 67.275 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 67.275 * [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)))))) 67.275 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 67.276 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 67.276 * * [simplify]: iters left: 6 (6 enodes) 67.279 * * [simplify]: iters left: 5 (21 enodes) 67.286 * * [simplify]: iters left: 4 (23 enodes) 67.293 * * [simplify]: Extracting #0: cost 1 inf + 0 67.293 * * [simplify]: Extracting #1: cost 4 inf + 0 67.293 * * [simplify]: Extracting #2: cost 6 inf + 1 67.293 * * [simplify]: Extracting #3: cost 9 inf + 1 67.293 * * [simplify]: Extracting #4: cost 8 inf + 2 67.294 * * [simplify]: Extracting #5: cost 1 inf + 810 67.294 * * [simplify]: Extracting #6: cost 0 inf + 972 67.294 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 67.294 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 67.295 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 67.295 * * [simplify]: iters left: 4 (5 enodes) 67.297 * * [simplify]: iters left: 3 (17 enodes) 67.303 * * [simplify]: iters left: 2 (19 enodes) 67.309 * * [simplify]: Extracting #0: cost 1 inf + 0 67.309 * * [simplify]: Extracting #1: cost 4 inf + 0 67.309 * * [simplify]: Extracting #2: cost 5 inf + 1 67.309 * * [simplify]: Extracting #3: cost 7 inf + 1 67.309 * * [simplify]: Extracting #4: cost 0 inf + 730 67.309 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 67.309 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 67.309 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 67.310 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.310 * * [simplify]: iters left: 4 (5 enodes) 67.312 * * [simplify]: iters left: 3 (17 enodes) 67.318 * * [simplify]: iters left: 2 (19 enodes) 67.324 * * [simplify]: Extracting #0: cost 1 inf + 0 67.324 * * [simplify]: Extracting #1: cost 4 inf + 0 67.324 * * [simplify]: Extracting #2: cost 5 inf + 1 67.324 * * [simplify]: Extracting #3: cost 7 inf + 1 67.324 * * [simplify]: Extracting #4: cost 0 inf + 490 67.324 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.324 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 67.325 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.325 * * [simplify]: iters left: 4 (5 enodes) 67.327 * * [simplify]: iters left: 3 (17 enodes) 67.333 * * [simplify]: iters left: 2 (19 enodes) 67.338 * * [simplify]: Extracting #0: cost 1 inf + 0 67.339 * * [simplify]: Extracting #1: cost 4 inf + 0 67.339 * * [simplify]: Extracting #2: cost 5 inf + 1 67.339 * * [simplify]: Extracting #3: cost 7 inf + 1 67.339 * * [simplify]: Extracting #4: cost 0 inf + 490 67.339 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.339 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 67.340 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 67.340 * [simplify]: Simplifying (/ 1 (sqrt 1)) 67.340 * * [simplify]: iters left: 3 (3 enodes) 67.346 * * [simplify]: iters left: 2 (11 enodes) 67.351 * * [simplify]: iters left: 1 (13 enodes) 67.355 * * [simplify]: Extracting #0: cost 1 inf + 0 67.355 * * [simplify]: Extracting #1: cost 0 inf + 1 67.355 * [simplify]: Simplified to 1 67.355 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.355 * [simplify]: Simplifying (/ 1 (sqrt k)) 67.355 * * [simplify]: iters left: 3 (4 enodes) 67.356 * * [simplify]: iters left: 2 (14 enodes) 67.359 * * [simplify]: iters left: 1 (16 enodes) 67.361 * * [simplify]: Extracting #0: cost 1 inf + 0 67.362 * * [simplify]: Extracting #1: cost 4 inf + 0 67.362 * * [simplify]: Extracting #2: cost 5 inf + 1 67.362 * * [simplify]: Extracting #3: cost 3 inf + 43 67.362 * * [simplify]: Extracting #4: cost 1 inf + 166 67.362 * * [simplify]: Extracting #5: cost 0 inf + 248 67.362 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.362 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.362 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 67.362 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.362 * * [simplify]: iters left: 4 (5 enodes) 67.364 * * [simplify]: iters left: 3 (17 enodes) 67.366 * * [simplify]: iters left: 2 (19 enodes) 67.369 * * [simplify]: Extracting #0: cost 1 inf + 0 67.369 * * [simplify]: Extracting #1: cost 4 inf + 0 67.369 * * [simplify]: Extracting #2: cost 5 inf + 1 67.369 * * [simplify]: Extracting #3: cost 7 inf + 1 67.369 * * [simplify]: Extracting #4: cost 0 inf + 490 67.370 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.370 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 67.370 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.370 * * [simplify]: iters left: 4 (5 enodes) 67.371 * * [simplify]: iters left: 3 (17 enodes) 67.374 * * [simplify]: iters left: 2 (19 enodes) 67.377 * * [simplify]: Extracting #0: cost 1 inf + 0 67.377 * * [simplify]: Extracting #1: cost 4 inf + 0 67.377 * * [simplify]: Extracting #2: cost 5 inf + 1 67.377 * * [simplify]: Extracting #3: cost 7 inf + 1 67.377 * * [simplify]: Extracting #4: cost 0 inf + 490 67.377 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.377 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 67.377 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 67.377 * [simplify]: Simplifying (/ 1 1) 67.377 * * [simplify]: iters left: 2 (2 enodes) 67.378 * * [simplify]: iters left: 1 (6 enodes) 67.379 * * [simplify]: Extracting #0: cost 1 inf + 0 67.379 * * [simplify]: Extracting #1: cost 0 inf + 1 67.379 * [simplify]: Simplified to 1 67.379 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.380 * [simplify]: Simplifying (/ 1 (sqrt k)) 67.380 * * [simplify]: iters left: 3 (4 enodes) 67.381 * * [simplify]: iters left: 2 (14 enodes) 67.383 * * [simplify]: iters left: 1 (16 enodes) 67.388 * * [simplify]: Extracting #0: cost 1 inf + 0 67.388 * * [simplify]: Extracting #1: cost 4 inf + 0 67.388 * * [simplify]: Extracting #2: cost 5 inf + 1 67.388 * * [simplify]: Extracting #3: cost 3 inf + 43 67.388 * * [simplify]: Extracting #4: cost 1 inf + 166 67.389 * * [simplify]: Extracting #5: cost 0 inf + 248 67.389 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.389 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.389 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 67.389 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 67.390 * [simplify]: Simplifying (/ 1 (sqrt k)) 67.390 * * [simplify]: iters left: 3 (4 enodes) 67.392 * * [simplify]: iters left: 2 (14 enodes) 67.397 * * [simplify]: iters left: 1 (16 enodes) 67.402 * * [simplify]: Extracting #0: cost 1 inf + 0 67.402 * * [simplify]: Extracting #1: cost 4 inf + 0 67.402 * * [simplify]: Extracting #2: cost 5 inf + 1 67.402 * * [simplify]: Extracting #3: cost 3 inf + 43 67.402 * * [simplify]: Extracting #4: cost 1 inf + 166 67.402 * * [simplify]: Extracting #5: cost 0 inf + 248 67.402 * [simplify]: Simplified to (/ 1 (sqrt k)) 67.402 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 67.402 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 67.403 * [simplify]: Simplifying (/ (sqrt k) 1) 67.403 * * [simplify]: iters left: 3 (4 enodes) 67.405 * * [simplify]: iters left: 2 (12 enodes) 67.409 * * [simplify]: iters left: 1 (14 enodes) 67.414 * * [simplify]: Extracting #0: cost 1 inf + 0 67.414 * * [simplify]: Extracting #1: cost 4 inf + 0 67.414 * * [simplify]: Extracting #2: cost 0 inf + 84 67.414 * [simplify]: Simplified to (sqrt k) 67.414 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.414 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 67.414 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.414 * * [simplify]: iters left: 6 (6 enodes) 67.418 * * [simplify]: iters left: 5 (22 enodes) 67.424 * * [simplify]: iters left: 4 (26 enodes) 67.428 * * [simplify]: Extracting #0: cost 1 inf + 0 67.428 * * [simplify]: Extracting #1: cost 6 inf + 0 67.428 * * [simplify]: Extracting #2: cost 9 inf + 1 67.428 * * [simplify]: Extracting #3: cost 11 inf + 1 67.428 * * [simplify]: Extracting #4: cost 8 inf + 84 67.428 * * [simplify]: Extracting #5: cost 2 inf + 1013 67.429 * * [simplify]: Extracting #6: cost 0 inf + 1376 67.429 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 67.429 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 67.429 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 67.429 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 67.429 * * [simplify]: iters left: 6 (6 enodes) 67.431 * * [simplify]: iters left: 5 (21 enodes) 67.434 * * [simplify]: iters left: 4 (23 enodes) 67.437 * * [simplify]: Extracting #0: cost 1 inf + 0 67.437 * * [simplify]: Extracting #1: cost 4 inf + 0 67.437 * * [simplify]: Extracting #2: cost 6 inf + 1 67.437 * * [simplify]: Extracting #3: cost 9 inf + 1 67.437 * * [simplify]: Extracting #4: cost 8 inf + 2 67.437 * * [simplify]: Extracting #5: cost 1 inf + 810 67.438 * * [simplify]: Extracting #6: cost 0 inf + 972 67.438 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 67.438 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))))) 67.438 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 67.438 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.438 * * [simplify]: iters left: 4 (5 enodes) 67.440 * * [simplify]: iters left: 3 (17 enodes) 67.442 * * [simplify]: iters left: 2 (19 enodes) 67.445 * * [simplify]: Extracting #0: cost 1 inf + 0 67.445 * * [simplify]: Extracting #1: cost 4 inf + 0 67.445 * * [simplify]: Extracting #2: cost 5 inf + 1 67.445 * * [simplify]: Extracting #3: cost 7 inf + 1 67.445 * * [simplify]: Extracting #4: cost 0 inf + 490 67.445 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.445 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 67.445 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 67.446 * [simplify]: Simplifying (/ 1 (sqrt 1)) 67.446 * * [simplify]: iters left: 3 (3 enodes) 67.449 * * [simplify]: iters left: 2 (11 enodes) 67.451 * * [simplify]: iters left: 1 (13 enodes) 67.453 * * [simplify]: Extracting #0: cost 1 inf + 0 67.453 * * [simplify]: Extracting #1: cost 0 inf + 1 67.453 * [simplify]: Simplified to 1 67.453 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.453 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 67.453 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 67.453 * * [simplify]: iters left: 4 (5 enodes) 67.454 * * [simplify]: iters left: 3 (17 enodes) 67.462 * * [simplify]: iters left: 2 (19 enodes) 67.468 * * [simplify]: Extracting #0: cost 1 inf + 0 67.468 * * [simplify]: Extracting #1: cost 4 inf + 0 67.468 * * [simplify]: Extracting #2: cost 5 inf + 1 67.468 * * [simplify]: Extracting #3: cost 7 inf + 1 67.468 * * [simplify]: Extracting #4: cost 0 inf + 490 67.468 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 67.468 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 67.469 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 67.469 * [simplify]: Simplifying (/ 1 1) 67.469 * * [simplify]: iters left: 2 (2 enodes) 67.470 * * [simplify]: iters left: 1 (6 enodes) 67.472 * * [simplify]: Extracting #0: cost 1 inf + 0 67.472 * * [simplify]: Extracting #1: cost 0 inf + 1 67.472 * [simplify]: Simplified to 1 67.472 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.472 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 67.472 * [simplify]: Simplifying (/ (sqrt k) (cbrt 1)) 67.472 * * [simplify]: iters left: 3 (5 enodes) 67.475 * * [simplify]: iters left: 2 (17 enodes) 67.477 * * [simplify]: iters left: 1 (19 enodes) 67.480 * * [simplify]: Extracting #0: cost 1 inf + 0 67.480 * * [simplify]: Extracting #1: cost 4 inf + 0 67.480 * * [simplify]: Extracting #2: cost 2 inf + 2 67.480 * * [simplify]: Extracting #3: cost 0 inf + 84 67.480 * [simplify]: Simplified to (sqrt k) 67.480 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)))) 67.480 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 67.481 * [simplify]: Simplifying (/ (sqrt k) (sqrt 1)) 67.481 * * [simplify]: iters left: 3 (5 enodes) 67.483 * * [simplify]: iters left: 2 (17 enodes) 67.485 * * [simplify]: iters left: 1 (19 enodes) 67.488 * * [simplify]: Extracting #0: cost 1 inf + 0 67.488 * * [simplify]: Extracting #1: cost 4 inf + 0 67.488 * * [simplify]: Extracting #2: cost 2 inf + 2 67.488 * * [simplify]: Extracting #3: cost 0 inf + 84 67.488 * [simplify]: Simplified to (sqrt k) 67.488 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 67.488 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 67.489 * [simplify]: Simplifying (/ (sqrt k) 1) 67.489 * * [simplify]: iters left: 3 (4 enodes) 67.490 * * [simplify]: iters left: 2 (12 enodes) 67.492 * * [simplify]: iters left: 1 (14 enodes) 67.494 * * [simplify]: Extracting #0: cost 1 inf + 0 67.494 * * [simplify]: Extracting #1: cost 4 inf + 0 67.494 * * [simplify]: Extracting #2: cost 0 inf + 84 67.494 * [simplify]: Simplified to (sqrt k) 67.494 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.494 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 67.495 * [simplify]: Simplifying (real->posit16 (/ 1 (sqrt k))) 67.495 * * [simplify]: iters left: 4 (5 enodes) 67.496 * * [simplify]: iters left: 3 (14 enodes) 67.498 * * [simplify]: iters left: 2 (16 enodes) 67.503 * * [simplify]: Extracting #0: cost 1 inf + 0 67.503 * * [simplify]: Extracting #1: cost 2 inf + 0 67.503 * * [simplify]: Extracting #2: cost 4 inf + 0 67.503 * * [simplify]: Extracting #3: cost 5 inf + 1 67.503 * * [simplify]: Extracting #4: cost 0 inf + 248 67.503 * [simplify]: Simplified to (real->posit16 (/ 1 (sqrt k))) 67.503 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (posit16->real (real->posit16 (/ 1 (sqrt k)))))) 67.503 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 67.504 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 67.504 * * [simplify]: iters left: 5 (6 enodes) 67.507 * * [simplify]: iters left: 4 (22 enodes) 67.513 * * [simplify]: iters left: 3 (30 enodes) 67.522 * * [simplify]: iters left: 2 (35 enodes) 67.531 * * [simplify]: Extracting #0: cost 1 inf + 0 67.531 * * [simplify]: Extracting #1: cost 3 inf + 0 67.531 * * [simplify]: Extracting #2: cost 10 inf + 0 67.531 * * [simplify]: Extracting #3: cost 10 inf + 3 67.531 * * [simplify]: Extracting #4: cost 6 inf + 171 67.532 * * [simplify]: Extracting #5: cost 1 inf + 574 67.532 * * [simplify]: Extracting #6: cost 0 inf + 727 67.532 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 67.533 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.533 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 67.533 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 67.533 * * [simplify]: iters left: 5 (6 enodes) 67.536 * * [simplify]: iters left: 4 (22 enodes) 67.543 * * [simplify]: iters left: 3 (30 enodes) 67.552 * * [simplify]: iters left: 2 (35 enodes) 67.561 * * [simplify]: Extracting #0: cost 1 inf + 0 67.561 * * [simplify]: Extracting #1: cost 3 inf + 0 67.561 * * [simplify]: Extracting #2: cost 10 inf + 0 67.561 * * [simplify]: Extracting #3: cost 10 inf + 3 67.561 * * [simplify]: Extracting #4: cost 6 inf + 171 67.561 * * [simplify]: Extracting #5: cost 1 inf + 594 67.562 * * [simplify]: Extracting #6: cost 0 inf + 767 67.562 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 67.562 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.562 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 67.563 * [simplify]: Simplifying (* n (* 2 PI)) 67.563 * * [simplify]: iters left: 4 (5 enodes) 67.566 * * [simplify]: iters left: 3 (19 enodes) 67.572 * * [simplify]: iters left: 2 (27 enodes) 67.580 * * [simplify]: iters left: 1 (32 enodes) 67.588 * * [simplify]: Extracting #0: cost 1 inf + 0 67.588 * * [simplify]: Extracting #1: cost 8 inf + 0 67.588 * * [simplify]: Extracting #2: cost 7 inf + 45 67.589 * * [simplify]: Extracting #3: cost 0 inf + 421 67.589 * [simplify]: Simplified to (* (* PI 2) n) 67.589 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.589 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 67.589 * [simplify]: Simplifying (* n (* 2 PI)) 67.590 * * [simplify]: iters left: 4 (5 enodes) 67.594 * * [simplify]: iters left: 3 (19 enodes) 67.600 * * [simplify]: iters left: 2 (27 enodes) 67.604 * * [simplify]: iters left: 1 (32 enodes) 67.608 * * [simplify]: Extracting #0: cost 1 inf + 0 67.608 * * [simplify]: Extracting #1: cost 8 inf + 0 67.608 * * [simplify]: Extracting #2: cost 7 inf + 45 67.608 * * [simplify]: Extracting #3: cost 0 inf + 421 67.608 * [simplify]: Simplified to (* (* PI 2) n) 67.609 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.609 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 67.609 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 67.609 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 67.609 * * [simplify]: iters left: 5 (8 enodes) 67.611 * * [simplify]: iters left: 4 (28 enodes) 67.616 * * [simplify]: iters left: 3 (36 enodes) 67.621 * * [simplify]: iters left: 2 (42 enodes) 67.627 * * [simplify]: Extracting #0: cost 1 inf + 0 67.627 * * [simplify]: Extracting #1: cost 8 inf + 0 67.627 * * [simplify]: Extracting #2: cost 17 inf + 0 67.627 * * [simplify]: Extracting #3: cost 12 inf + 145 67.627 * * [simplify]: Extracting #4: cost 5 inf + 1197 67.627 * * [simplify]: Extracting #5: cost 1 inf + 1925 67.628 * * [simplify]: Extracting #6: cost 0 inf + 2107 67.628 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 67.628 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.628 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 67.628 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 67.628 * * [simplify]: iters left: 5 (7 enodes) 67.631 * * [simplify]: iters left: 4 (26 enodes) 67.635 * * [simplify]: iters left: 3 (35 enodes) 67.640 * * [simplify]: iters left: 2 (44 enodes) 67.646 * * [simplify]: Extracting #0: cost 1 inf + 0 67.646 * * [simplify]: Extracting #1: cost 8 inf + 0 67.646 * * [simplify]: Extracting #2: cost 18 inf + 0 67.646 * * [simplify]: Extracting #3: cost 15 inf + 74 67.646 * * [simplify]: Extracting #4: cost 8 inf + 554 67.647 * * [simplify]: Extracting #5: cost 0 inf + 1911 67.647 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 67.647 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.647 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 67.647 * [simplify]: Simplifying (log (* n (* 2 PI))) 67.647 * * [simplify]: iters left: 5 (6 enodes) 67.649 * * [simplify]: iters left: 4 (25 enodes) 67.655 * * [simplify]: iters left: 3 (44 enodes) 67.669 * * [simplify]: iters left: 2 (62 enodes) 67.686 * * [simplify]: iters left: 1 (70 enodes) 67.706 * * [simplify]: Extracting #0: cost 1 inf + 0 67.706 * * [simplify]: Extracting #1: cost 9 inf + 0 67.706 * * [simplify]: Extracting #2: cost 22 inf + 0 67.706 * * [simplify]: Extracting #3: cost 19 inf + 228 67.706 * * [simplify]: Extracting #4: cost 6 inf + 1211 67.707 * * [simplify]: Extracting #5: cost 1 inf + 1713 67.707 * * [simplify]: Extracting #6: cost 0 inf + 1825 67.708 * [simplify]: Simplified to (log (* (* PI 2) n)) 67.708 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.708 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 67.708 * [simplify]: Simplifying (exp (* n (* 2 PI))) 67.708 * * [simplify]: iters left: 5 (6 enodes) 67.710 * * [simplify]: iters left: 4 (24 enodes) 67.714 * * [simplify]: iters left: 3 (41 enodes) 67.721 * * [simplify]: iters left: 2 (77 enodes) 67.733 * * [simplify]: iters left: 1 (133 enodes) 67.755 * * [simplify]: Extracting #0: cost 1 inf + 0 67.755 * * [simplify]: Extracting #1: cost 33 inf + 0 67.755 * * [simplify]: Extracting #2: cost 74 inf + 902 67.756 * * [simplify]: Extracting #3: cost 69 inf + 4725 67.757 * * [simplify]: Extracting #4: cost 24 inf + 14472 67.759 * * [simplify]: Extracting #5: cost 2 inf + 20599 67.762 * * [simplify]: Extracting #6: cost 0 inf + 21175 67.764 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 67.764 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 67.764 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 67.764 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 67.764 * * [simplify]: iters left: 6 (11 enodes) 67.769 * * [simplify]: iters left: 5 (48 enodes) 67.783 * * [simplify]: iters left: 4 (121 enodes) 67.842 * * [simplify]: iters left: 3 (355 enodes) 68.044 * * [simplify]: Extracting #0: cost 1 inf + 0 68.044 * * [simplify]: Extracting #1: cost 65 inf + 0 68.045 * * [simplify]: Extracting #2: cost 162 inf + 496 68.048 * * [simplify]: Extracting #3: cost 89 inf + 8992 68.059 * * [simplify]: Extracting #4: cost 19 inf + 22730 68.066 * * [simplify]: Extracting #5: cost 0 inf + 27780 68.072 * * [simplify]: Extracting #6: cost 0 inf + 27740 68.079 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 68.079 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 68.079 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 68.079 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 68.079 * * [simplify]: iters left: 6 (9 enodes) 68.082 * * [simplify]: iters left: 5 (45 enodes) 68.099 * * [simplify]: iters left: 4 (117 enodes) 68.167 * * [simplify]: iters left: 3 (377 enodes) 68.448 * * [simplify]: Extracting #0: cost 1 inf + 0 68.448 * * [simplify]: Extracting #1: cost 79 inf + 0 68.450 * * [simplify]: Extracting #2: cost 190 inf + 659 68.453 * * [simplify]: Extracting #3: cost 100 inf + 13035 68.471 * * [simplify]: Extracting #4: cost 6 inf + 31482 68.480 * * [simplify]: Extracting #5: cost 0 inf + 32336 68.490 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 68.490 * [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)))) 68.490 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 68.490 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 68.490 * * [simplify]: iters left: 6 (7 enodes) 68.493 * * [simplify]: iters left: 5 (25 enodes) 68.497 * * [simplify]: iters left: 4 (33 enodes) 68.504 * * [simplify]: iters left: 3 (39 enodes) 68.520 * * [simplify]: Extracting #0: cost 1 inf + 0 68.520 * * [simplify]: Extracting #1: cost 3 inf + 0 68.520 * * [simplify]: Extracting #2: cost 5 inf + 0 68.520 * * [simplify]: Extracting #3: cost 12 inf + 0 68.520 * * [simplify]: Extracting #4: cost 11 inf + 45 68.520 * * [simplify]: Extracting #5: cost 5 inf + 500 68.521 * * [simplify]: Extracting #6: cost 1 inf + 950 68.521 * * [simplify]: Extracting #7: cost 0 inf + 1153 68.522 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 68.522 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 68.522 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 68.522 * * [simplify]: iters left: 5 (6 enodes) 68.524 * * [simplify]: iters left: 4 (22 enodes) 68.528 * * [simplify]: iters left: 3 (30 enodes) 68.532 * * [simplify]: iters left: 2 (35 enodes) 68.537 * * [simplify]: Extracting #0: cost 1 inf + 0 68.537 * * [simplify]: Extracting #1: cost 3 inf + 0 68.537 * * [simplify]: Extracting #2: cost 10 inf + 0 68.537 * * [simplify]: Extracting #3: cost 10 inf + 3 68.537 * * [simplify]: Extracting #4: cost 6 inf + 171 68.537 * * [simplify]: Extracting #5: cost 1 inf + 584 68.537 * * [simplify]: Extracting #6: cost 0 inf + 747 68.538 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 68.538 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 68.538 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 68.538 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 68.538 * * [simplify]: iters left: 6 (7 enodes) 68.540 * * [simplify]: iters left: 5 (35 enodes) 68.549 * * [simplify]: iters left: 4 (120 enodes) 68.629 * * [simplify]: iters left: 3 (434 enodes) 69.066 * * [simplify]: Extracting #0: cost 1 inf + 0 69.067 * * [simplify]: Extracting #1: cost 70 inf + 0 69.069 * * [simplify]: Extracting #2: cost 180 inf + 783 69.078 * * [simplify]: Extracting #3: cost 74 inf + 15033 69.095 * * [simplify]: Extracting #4: cost 1 inf + 25830 69.114 * * [simplify]: Extracting #5: cost 0 inf + 25831 69.134 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 69.134 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.134 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 69.135 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 69.135 * * [simplify]: iters left: 5 (6 enodes) 69.136 * * [simplify]: iters left: 4 (22 enodes) 69.140 * * [simplify]: iters left: 3 (30 enodes) 69.144 * * [simplify]: iters left: 2 (35 enodes) 69.149 * * [simplify]: Extracting #0: cost 1 inf + 0 69.149 * * [simplify]: Extracting #1: cost 3 inf + 0 69.149 * * [simplify]: Extracting #2: cost 10 inf + 0 69.149 * * [simplify]: Extracting #3: cost 10 inf + 3 69.149 * * [simplify]: Extracting #4: cost 6 inf + 171 69.149 * * [simplify]: Extracting #5: cost 1 inf + 544 69.149 * * [simplify]: Extracting #6: cost 0 inf + 667 69.149 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 69.149 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.150 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 69.150 * * [simplify]: iters left: 5 (6 enodes) 69.151 * * [simplify]: iters left: 4 (22 enodes) 69.154 * * [simplify]: iters left: 3 (30 enodes) 69.163 * * [simplify]: iters left: 2 (35 enodes) 69.172 * * [simplify]: Extracting #0: cost 1 inf + 0 69.172 * * [simplify]: Extracting #1: cost 3 inf + 0 69.173 * * [simplify]: Extracting #2: cost 10 inf + 0 69.173 * * [simplify]: Extracting #3: cost 10 inf + 3 69.173 * * [simplify]: Extracting #4: cost 6 inf + 171 69.173 * * [simplify]: Extracting #5: cost 1 inf + 544 69.173 * * [simplify]: Extracting #6: cost 0 inf + 667 69.174 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 69.174 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.174 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 69.174 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 69.174 * [simplify]: Simplifying (* n 2) 69.174 * * [simplify]: iters left: 2 (3 enodes) 69.176 * * [simplify]: iters left: 1 (10 enodes) 69.179 * * [simplify]: Extracting #0: cost 1 inf + 0 69.179 * * [simplify]: Extracting #1: cost 4 inf + 0 69.179 * * [simplify]: Extracting #2: cost 2 inf + 2 69.179 * * [simplify]: Extracting #3: cost 0 inf + 86 69.179 * [simplify]: Simplified to (* n 2) 69.180 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.180 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 69.180 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 69.180 * * [simplify]: iters left: 4 (6 enodes) 69.183 * * [simplify]: iters left: 3 (22 enodes) 69.190 * * [simplify]: iters left: 2 (30 enodes) 69.199 * * [simplify]: iters left: 1 (35 enodes) 69.208 * * [simplify]: Extracting #0: cost 1 inf + 0 69.208 * * [simplify]: Extracting #1: cost 8 inf + 0 69.208 * * [simplify]: Extracting #2: cost 10 inf + 44 69.208 * * [simplify]: Extracting #3: cost 8 inf + 87 69.209 * * [simplify]: Extracting #4: cost 5 inf + 453 69.209 * * [simplify]: Extracting #5: cost 0 inf + 1063 69.209 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 69.210 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.210 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 69.210 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 69.210 * * [simplify]: iters left: 4 (6 enodes) 69.213 * * [simplify]: iters left: 3 (22 enodes) 69.220 * * [simplify]: iters left: 2 (30 enodes) 69.229 * * [simplify]: iters left: 1 (35 enodes) 69.238 * * [simplify]: Extracting #0: cost 1 inf + 0 69.238 * * [simplify]: Extracting #1: cost 8 inf + 0 69.238 * * [simplify]: Extracting #2: cost 10 inf + 44 69.238 * * [simplify]: Extracting #3: cost 8 inf + 87 69.238 * * [simplify]: Extracting #4: cost 5 inf + 333 69.239 * * [simplify]: Extracting #5: cost 0 inf + 743 69.239 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 69.239 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.239 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 69.240 * [simplify]: Simplifying (* n (* 2 PI)) 69.240 * * [simplify]: iters left: 4 (5 enodes) 69.243 * * [simplify]: iters left: 3 (19 enodes) 69.251 * * [simplify]: iters left: 2 (27 enodes) 69.259 * * [simplify]: iters left: 1 (32 enodes) 69.267 * * [simplify]: Extracting #0: cost 1 inf + 0 69.267 * * [simplify]: Extracting #1: cost 8 inf + 0 69.267 * * [simplify]: Extracting #2: cost 7 inf + 45 69.267 * * [simplify]: Extracting #3: cost 0 inf + 421 69.268 * [simplify]: Simplified to (* (* PI 2) n) 69.268 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.268 * * * * [progress]: [ 110 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 69.268 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 69.268 * * [simplify]: iters left: 5 (6 enodes) 69.271 * * [simplify]: iters left: 4 (19 enodes) 69.278 * * [simplify]: iters left: 3 (27 enodes) 69.286 * * [simplify]: iters left: 2 (32 enodes) 69.294 * * [simplify]: Extracting #0: cost 1 inf + 0 69.295 * * [simplify]: Extracting #1: cost 2 inf + 0 69.295 * * [simplify]: Extracting #2: cost 8 inf + 0 69.295 * * [simplify]: Extracting #3: cost 7 inf + 45 69.295 * * [simplify]: Extracting #4: cost 1 inf + 379 69.295 * * [simplify]: Extracting #5: cost 0 inf + 421 69.296 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 69.296 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.296 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 69.296 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 69.296 * [simplify]: Simplifying (expm1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.296 * * [simplify]: iters left: 6 (14 enodes) 69.304 * * [simplify]: iters left: 5 (60 enodes) 69.325 * * [simplify]: iters left: 4 (103 enodes) 69.359 * * [simplify]: iters left: 3 (170 enodes) 69.430 * * [simplify]: iters left: 2 (328 enodes) 69.552 * * [simplify]: Extracting #0: cost 1 inf + 0 69.552 * * [simplify]: Extracting #1: cost 3 inf + 0 69.552 * * [simplify]: Extracting #2: cost 50 inf + 0 69.553 * * [simplify]: Extracting #3: cost 140 inf + 1 69.554 * * [simplify]: Extracting #4: cost 182 inf + 4 69.557 * * [simplify]: Extracting #5: cost 158 inf + 8110 69.575 * * [simplify]: Extracting #6: cost 56 inf + 48473 69.610 * * [simplify]: Extracting #7: cost 1 inf + 79200 69.630 * * [simplify]: Extracting #8: cost 0 inf + 78890 69.646 * * [simplify]: Extracting #9: cost 0 inf + 78479 69.671 * [simplify]: Simplified to (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 69.671 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 69.671 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 69.671 * [simplify]: Simplifying (log1p (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 69.672 * * [simplify]: iters left: 6 (14 enodes) 69.679 * * [simplify]: iters left: 5 (60 enodes) 69.700 * * [simplify]: iters left: 4 (103 enodes) 69.737 * * [simplify]: iters left: 3 (170 enodes) 69.803 * * [simplify]: iters left: 2 (328 enodes) 69.995 * * [simplify]: Extracting #0: cost 1 inf + 0 69.995 * * [simplify]: Extracting #1: cost 3 inf + 0 69.995 * * [simplify]: Extracting #2: cost 50 inf + 0 69.996 * * [simplify]: Extracting #3: cost 140 inf + 1 69.997 * * [simplify]: Extracting #4: cost 182 inf + 4 70.001 * * [simplify]: Extracting #5: cost 158 inf + 8150 70.018 * * [simplify]: Extracting #6: cost 56 inf + 48513 70.036 * * [simplify]: Extracting #7: cost 1 inf + 79240 70.063 * * [simplify]: Extracting #8: cost 0 inf + 78930 70.094 * * [simplify]: Extracting #9: cost 0 inf + 78519 70.110 * [simplify]: Simplified to (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 70.110 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 70.110 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 70.110 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 70.111 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 70.111 * * [simplify]: iters left: 6 (17 enodes) 70.118 * * [simplify]: iters left: 5 (69 enodes) 70.134 * * [simplify]: iters left: 4 (113 enodes) 70.174 * * [simplify]: iters left: 3 (308 enodes) 70.277 * * [simplify]: Extracting #0: cost 1 inf + 0 70.277 * * [simplify]: Extracting #1: cost 34 inf + 0 70.277 * * [simplify]: Extracting #2: cost 116 inf + 0 70.278 * * [simplify]: Extracting #3: cost 162 inf + 888 70.283 * * [simplify]: Extracting #4: cost 139 inf + 9301 70.297 * * [simplify]: Extracting #5: cost 23 inf + 42203 70.316 * * [simplify]: Extracting #6: cost 0 inf + 51185 70.326 * * [simplify]: Extracting #7: cost 0 inf + 51183 70.336 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 70.336 * [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))))) 70.337 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 70.337 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 70.337 * * [simplify]: iters left: 6 (18 enodes) 70.342 * * [simplify]: iters left: 5 (74 enodes) 70.367 * * [simplify]: iters left: 4 (131 enodes) 70.424 * * [simplify]: iters left: 3 (347 enodes) 70.575 * * [simplify]: Extracting #0: cost 1 inf + 0 70.575 * * [simplify]: Extracting #1: cost 36 inf + 0 70.576 * * [simplify]: Extracting #2: cost 155 inf + 1 70.578 * * [simplify]: Extracting #3: cost 199 inf + 847 70.581 * * [simplify]: Extracting #4: cost 172 inf + 10467 70.598 * * [simplify]: Extracting #5: cost 17 inf + 57253 70.623 * * [simplify]: Extracting #6: cost 0 inf + 63750 70.637 * * [simplify]: Extracting #7: cost 0 inf + 63748 70.650 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 70.650 * [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))))) 70.651 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 70.651 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 70.651 * * [simplify]: iters left: 6 (18 enodes) 70.656 * * [simplify]: iters left: 5 (75 enodes) 70.668 * * [simplify]: iters left: 4 (121 enodes) 70.696 * * [simplify]: iters left: 3 (330 enodes) 70.825 * * [simplify]: Extracting #0: cost 1 inf + 0 70.825 * * [simplify]: Extracting #1: cost 47 inf + 0 70.826 * * [simplify]: Extracting #2: cost 138 inf + 1 70.827 * * [simplify]: Extracting #3: cost 184 inf + 625 70.829 * * [simplify]: Extracting #4: cost 152 inf + 12515 70.838 * * [simplify]: Extracting #5: cost 19 inf + 52725 70.852 * * [simplify]: Extracting #6: cost 0 inf + 60146 70.874 * * [simplify]: Extracting #7: cost 0 inf + 60145 70.886 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 70.887 * [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))))) 70.887 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 70.887 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 70.887 * * [simplify]: iters left: 6 (17 enodes) 70.892 * * [simplify]: iters left: 5 (72 enodes) 70.903 * * [simplify]: iters left: 4 (119 enodes) 70.930 * * [simplify]: iters left: 3 (317 enodes) 71.065 * * [simplify]: Extracting #0: cost 1 inf + 0 71.066 * * [simplify]: Extracting #1: cost 33 inf + 0 71.066 * * [simplify]: Extracting #2: cost 141 inf + 1 71.067 * * [simplify]: Extracting #3: cost 182 inf + 454 71.070 * * [simplify]: Extracting #4: cost 128 inf + 18490 71.083 * * [simplify]: Extracting #5: cost 5 inf + 55953 71.094 * * [simplify]: Extracting #6: cost 0 inf + 57753 71.108 * * [simplify]: Extracting #7: cost 0 inf + 57752 71.119 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 71.120 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 71.120 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 71.120 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 71.120 * * [simplify]: iters left: 6 (16 enodes) 71.125 * * [simplify]: iters left: 5 (67 enodes) 71.136 * * [simplify]: iters left: 4 (106 enodes) 71.167 * * [simplify]: iters left: 3 (249 enodes) 71.262 * * [simplify]: Extracting #0: cost 1 inf + 0 71.263 * * [simplify]: Extracting #1: cost 29 inf + 0 71.263 * * [simplify]: Extracting #2: cost 111 inf + 0 71.263 * * [simplify]: Extracting #3: cost 150 inf + 301 71.265 * * [simplify]: Extracting #4: cost 136 inf + 5475 71.269 * * [simplify]: Extracting #5: cost 55 inf + 25475 71.277 * * [simplify]: Extracting #6: cost 12 inf + 38138 71.285 * * [simplify]: Extracting #7: cost 0 inf + 41430 71.298 * * [simplify]: Extracting #8: cost 0 inf + 41390 71.314 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 71.314 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 71.314 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 71.315 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 71.315 * * [simplify]: iters left: 6 (17 enodes) 71.324 * * [simplify]: iters left: 5 (72 enodes) 71.336 * * [simplify]: iters left: 4 (124 enodes) 71.363 * * [simplify]: iters left: 3 (285 enodes) 71.463 * * [simplify]: Extracting #0: cost 1 inf + 0 71.463 * * [simplify]: Extracting #1: cost 31 inf + 0 71.464 * * [simplify]: Extracting #2: cost 141 inf + 1 71.465 * * [simplify]: Extracting #3: cost 181 inf + 667 71.468 * * [simplify]: Extracting #4: cost 164 inf + 6709 71.484 * * [simplify]: Extracting #5: cost 17 inf + 47764 71.506 * * [simplify]: Extracting #6: cost 0 inf + 51930 71.532 * * [simplify]: Extracting #7: cost 0 inf + 51568 71.553 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 71.553 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 71.553 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 71.554 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 71.554 * * [simplify]: iters left: 6 (17 enodes) 71.564 * * [simplify]: iters left: 5 (73 enodes) 71.588 * * [simplify]: iters left: 4 (114 enodes) 71.634 * * [simplify]: iters left: 3 (269 enodes) 71.752 * * [simplify]: Extracting #0: cost 1 inf + 0 71.752 * * [simplify]: Extracting #1: cost 40 inf + 0 71.753 * * [simplify]: Extracting #2: cost 127 inf + 1 71.754 * * [simplify]: Extracting #3: cost 157 inf + 1064 71.758 * * [simplify]: Extracting #4: cost 129 inf + 11394 71.769 * * [simplify]: Extracting #5: cost 45 inf + 33983 71.785 * * [simplify]: Extracting #6: cost 11 inf + 44041 71.804 * * [simplify]: Extracting #7: cost 0 inf + 47717 71.824 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 71.824 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 71.824 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 71.824 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 71.824 * * [simplify]: iters left: 6 (16 enodes) 71.834 * * [simplify]: iters left: 5 (70 enodes) 71.856 * * [simplify]: iters left: 4 (112 enodes) 71.889 * * [simplify]: iters left: 3 (259 enodes) 71.990 * * [simplify]: Extracting #0: cost 1 inf + 0 71.990 * * [simplify]: Extracting #1: cost 31 inf + 0 71.991 * * [simplify]: Extracting #2: cost 124 inf + 1 71.992 * * [simplify]: Extracting #3: cost 163 inf + 426 71.995 * * [simplify]: Extracting #4: cost 139 inf + 6573 72.005 * * [simplify]: Extracting #5: cost 59 inf + 27614 72.020 * * [simplify]: Extracting #6: cost 16 inf + 40597 72.038 * * [simplify]: Extracting #7: cost 0 inf + 45889 72.057 * * [simplify]: Extracting #8: cost 0 inf + 45887 72.076 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 72.076 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 72.076 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 72.077 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 72.077 * * [simplify]: iters left: 6 (15 enodes) 72.088 * * [simplify]: iters left: 5 (66 enodes) 72.099 * * [simplify]: iters left: 4 (113 enodes) 72.122 * * [simplify]: iters left: 3 (231 enodes) 72.194 * * [simplify]: Extracting #0: cost 1 inf + 0 72.194 * * [simplify]: Extracting #1: cost 23 inf + 0 72.195 * * [simplify]: Extracting #2: cost 108 inf + 0 72.196 * * [simplify]: Extracting #3: cost 141 inf + 873 72.199 * * [simplify]: Extracting #4: cost 117 inf + 9464 72.206 * * [simplify]: Extracting #5: cost 44 inf + 23481 72.220 * * [simplify]: Extracting #6: cost 1 inf + 35156 72.235 * * [simplify]: Extracting #7: cost 0 inf + 35358 72.249 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 72.250 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 72.250 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 72.250 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 72.250 * * [simplify]: iters left: 6 (16 enodes) 72.260 * * [simplify]: iters left: 5 (71 enodes) 72.285 * * [simplify]: iters left: 4 (131 enodes) 72.337 * * [simplify]: iters left: 3 (264 enodes) 72.752 * * [simplify]: Extracting #0: cost 1 inf + 0 72.752 * * [simplify]: Extracting #1: cost 28 inf + 0 72.753 * * [simplify]: Extracting #2: cost 137 inf + 1 72.753 * * [simplify]: Extracting #3: cost 176 inf + 385 72.755 * * [simplify]: Extracting #4: cost 145 inf + 9249 72.762 * * [simplify]: Extracting #5: cost 22 inf + 38070 72.772 * * [simplify]: Extracting #6: cost 0 inf + 44770 72.781 * * [simplify]: Extracting #7: cost 0 inf + 44766 72.799 * * [simplify]: Extracting #8: cost 0 inf + 44765 72.818 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 72.819 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 72.819 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 72.819 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 72.819 * * [simplify]: iters left: 6 (16 enodes) 72.825 * * [simplify]: iters left: 5 (72 enodes) 72.837 * * [simplify]: iters left: 4 (121 enodes) 72.866 * * [simplify]: iters left: 3 (251 enodes) 72.994 * * [simplify]: Extracting #0: cost 1 inf + 0 72.994 * * [simplify]: Extracting #1: cost 31 inf + 0 72.995 * * [simplify]: Extracting #2: cost 120 inf + 1 72.996 * * [simplify]: Extracting #3: cost 153 inf + 722 73.000 * * [simplify]: Extracting #4: cost 123 inf + 9925 73.007 * * [simplify]: Extracting #5: cost 70 inf + 20388 73.021 * * [simplify]: Extracting #6: cost 8 inf + 37677 73.041 * * [simplify]: Extracting #7: cost 0 inf + 39814 73.058 * * [simplify]: Extracting #8: cost 0 inf + 39813 73.075 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 73.075 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 73.075 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 73.076 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 73.076 * * [simplify]: iters left: 6 (15 enodes) 73.085 * * [simplify]: iters left: 5 (69 enodes) 73.107 * * [simplify]: iters left: 4 (119 enodes) 73.149 * * [simplify]: iters left: 3 (242 enodes) 73.271 * * [simplify]: Extracting #0: cost 1 inf + 0 73.271 * * [simplify]: Extracting #1: cost 25 inf + 0 73.271 * * [simplify]: Extracting #2: cost 120 inf + 1 73.272 * * [simplify]: Extracting #3: cost 158 inf + 414 73.273 * * [simplify]: Extracting #4: cost 141 inf + 6461 73.278 * * [simplify]: Extracting #5: cost 36 inf + 28547 73.285 * * [simplify]: Extracting #6: cost 2 inf + 39293 73.298 * * [simplify]: Extracting #7: cost 0 inf + 39445 73.315 * * [simplify]: Extracting #8: cost 0 inf + 39430 73.329 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 73.329 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 73.329 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 73.329 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 73.330 * * [simplify]: iters left: 6 (15 enodes) 73.334 * * [simplify]: iters left: 5 (66 enodes) 73.346 * * [simplify]: iters left: 4 (113 enodes) 73.375 * * [simplify]: iters left: 3 (231 enodes) 73.442 * * [simplify]: Extracting #0: cost 1 inf + 0 73.442 * * [simplify]: Extracting #1: cost 23 inf + 0 73.442 * * [simplify]: Extracting #2: cost 108 inf + 0 73.443 * * [simplify]: Extracting #3: cost 141 inf + 873 73.444 * * [simplify]: Extracting #4: cost 117 inf + 9464 73.450 * * [simplify]: Extracting #5: cost 44 inf + 23481 73.465 * * [simplify]: Extracting #6: cost 1 inf + 35156 73.480 * * [simplify]: Extracting #7: cost 0 inf + 35358 73.498 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 73.498 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 73.499 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 73.499 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 73.499 * * [simplify]: iters left: 6 (16 enodes) 73.508 * * [simplify]: iters left: 5 (71 enodes) 73.529 * * [simplify]: iters left: 4 (131 enodes) 73.554 * * [simplify]: iters left: 3 (264 enodes) 73.641 * * [simplify]: Extracting #0: cost 1 inf + 0 73.641 * * [simplify]: Extracting #1: cost 28 inf + 0 73.641 * * [simplify]: Extracting #2: cost 137 inf + 1 73.642 * * [simplify]: Extracting #3: cost 176 inf + 385 73.644 * * [simplify]: Extracting #4: cost 145 inf + 9249 73.655 * * [simplify]: Extracting #5: cost 22 inf + 38070 73.673 * * [simplify]: Extracting #6: cost 0 inf + 44770 73.682 * * [simplify]: Extracting #7: cost 0 inf + 44766 73.692 * * [simplify]: Extracting #8: cost 0 inf + 44765 73.701 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 73.701 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 73.701 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 73.702 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 73.702 * * [simplify]: iters left: 6 (16 enodes) 73.710 * * [simplify]: iters left: 5 (72 enodes) 73.734 * * [simplify]: iters left: 4 (121 enodes) 73.778 * * [simplify]: iters left: 3 (251 enodes) 73.875 * * [simplify]: Extracting #0: cost 1 inf + 0 73.875 * * [simplify]: Extracting #1: cost 31 inf + 0 73.876 * * [simplify]: Extracting #2: cost 120 inf + 1 73.877 * * [simplify]: Extracting #3: cost 153 inf + 722 73.880 * * [simplify]: Extracting #4: cost 123 inf + 9925 73.887 * * [simplify]: Extracting #5: cost 70 inf + 20388 73.900 * * [simplify]: Extracting #6: cost 8 inf + 37677 73.908 * * [simplify]: Extracting #7: cost 0 inf + 39814 73.917 * * [simplify]: Extracting #8: cost 0 inf + 39813 73.925 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 73.925 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 73.925 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 73.925 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 73.926 * * [simplify]: iters left: 6 (15 enodes) 73.933 * * [simplify]: iters left: 5 (69 enodes) 73.948 * * [simplify]: iters left: 4 (119 enodes) 73.971 * * [simplify]: iters left: 3 (242 enodes) 74.043 * * [simplify]: Extracting #0: cost 1 inf + 0 74.043 * * [simplify]: Extracting #1: cost 25 inf + 0 74.043 * * [simplify]: Extracting #2: cost 120 inf + 1 74.044 * * [simplify]: Extracting #3: cost 158 inf + 414 74.047 * * [simplify]: Extracting #4: cost 141 inf + 6461 74.057 * * [simplify]: Extracting #5: cost 36 inf + 28547 74.070 * * [simplify]: Extracting #6: cost 2 inf + 39293 74.078 * * [simplify]: Extracting #7: cost 0 inf + 39445 74.086 * * [simplify]: Extracting #8: cost 0 inf + 39430 74.095 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 74.095 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 74.095 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 74.095 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 74.095 * * [simplify]: iters left: 6 (15 enodes) 74.100 * * [simplify]: iters left: 5 (64 enodes) 74.121 * * [simplify]: iters left: 4 (112 enodes) 74.162 * * [simplify]: iters left: 3 (217 enodes) 74.254 * * [simplify]: Extracting #0: cost 1 inf + 0 74.254 * * [simplify]: Extracting #1: cost 24 inf + 0 74.254 * * [simplify]: Extracting #2: cost 131 inf + 0 74.255 * * [simplify]: Extracting #3: cost 197 inf + 75 74.258 * * [simplify]: Extracting #4: cost 154 inf + 8600 74.268 * * [simplify]: Extracting #5: cost 37 inf + 34061 74.286 * * [simplify]: Extracting #6: cost 4 inf + 41406 74.301 * * [simplify]: Extracting #7: cost 0 inf + 44050 74.317 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 74.317 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 74.317 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 74.317 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 74.317 * * [simplify]: iters left: 6 (16 enodes) 74.327 * * [simplify]: iters left: 5 (69 enodes) 74.342 * * [simplify]: iters left: 4 (129 enodes) 74.378 * * [simplify]: iters left: 3 (252 enodes) 74.468 * * [simplify]: Extracting #0: cost 1 inf + 0 74.468 * * [simplify]: Extracting #1: cost 28 inf + 0 74.469 * * [simplify]: Extracting #2: cost 164 inf + 1 74.469 * * [simplify]: Extracting #3: cost 232 inf + 76 74.471 * * [simplify]: Extracting #4: cost 186 inf + 7682 74.484 * * [simplify]: Extracting #5: cost 46 inf + 40239 74.502 * * [simplify]: Extracting #6: cost 2 inf + 54192 74.525 * * [simplify]: Extracting #7: cost 0 inf + 55436 74.545 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 74.545 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 74.545 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 74.546 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 74.546 * * [simplify]: iters left: 6 (16 enodes) 74.555 * * [simplify]: iters left: 5 (70 enodes) 74.575 * * [simplify]: iters left: 4 (119 enodes) 74.597 * * [simplify]: iters left: 3 (242 enodes) 74.675 * * [simplify]: Extracting #0: cost 1 inf + 0 74.675 * * [simplify]: Extracting #1: cost 32 inf + 0 74.676 * * [simplify]: Extracting #2: cost 144 inf + 1 74.677 * * [simplify]: Extracting #3: cost 210 inf + 5 74.680 * * [simplify]: Extracting #4: cost 169 inf + 6845 74.690 * * [simplify]: Extracting #5: cost 50 inf + 32920 74.706 * * [simplify]: Extracting #6: cost 2 inf + 47943 74.722 * * [simplify]: Extracting #7: cost 0 inf + 49056 74.742 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 74.743 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 74.743 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 74.743 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 74.743 * * [simplify]: iters left: 6 (15 enodes) 74.752 * * [simplify]: iters left: 5 (67 enodes) 74.774 * * [simplify]: iters left: 4 (118 enodes) 74.813 * * [simplify]: iters left: 3 (228 enodes) 74.880 * * [simplify]: Extracting #0: cost 1 inf + 0 74.881 * * [simplify]: Extracting #1: cost 26 inf + 0 74.881 * * [simplify]: Extracting #2: cost 143 inf + 1 74.882 * * [simplify]: Extracting #3: cost 211 inf + 5 74.885 * * [simplify]: Extracting #4: cost 177 inf + 5785 74.894 * * [simplify]: Extracting #5: cost 54 inf + 30289 74.906 * * [simplify]: Extracting #6: cost 4 inf + 45848 74.915 * * [simplify]: Extracting #7: cost 0 inf + 48345 74.923 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))) 74.923 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (log (* (* PI 2) n)))) (log (sqrt k))))) 74.924 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 74.924 * [simplify]: Simplifying (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 74.924 * * [simplify]: iters left: 6 (14 enodes) 74.928 * * [simplify]: iters left: 5 (63 enodes) 74.943 * * [simplify]: iters left: 4 (121 enodes) 74.977 * * [simplify]: iters left: 3 (229 enodes) 75.040 * * [simplify]: Extracting #0: cost 1 inf + 0 75.040 * * [simplify]: Extracting #1: cost 18 inf + 0 75.040 * * [simplify]: Extracting #2: cost 123 inf + 1 75.041 * * [simplify]: Extracting #3: cost 189 inf + 6 75.042 * * [simplify]: Extracting #4: cost 139 inf + 10830 75.048 * * [simplify]: Extracting #5: cost 35 inf + 38367 75.057 * * [simplify]: Extracting #6: cost 0 inf + 51258 75.066 * * [simplify]: Extracting #7: cost 0 inf + 50974 75.075 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 75.075 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 75.075 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 75.075 * [simplify]: Simplifying (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 75.075 * * [simplify]: iters left: 6 (14 enodes) 75.080 * * [simplify]: iters left: 5 (62 enodes) 75.092 * * [simplify]: iters left: 4 (114 enodes) 75.113 * * [simplify]: iters left: 3 (211 enodes) 75.191 * * [simplify]: iters left: 2 (454 enodes) 75.356 * * [simplify]: Extracting #0: cost 1 inf + 0 75.356 * * [simplify]: Extracting #1: cost 39 inf + 0 75.357 * * [simplify]: Extracting #2: cost 201 inf + 2 75.359 * * [simplify]: Extracting #3: cost 309 inf + 6 75.360 * * [simplify]: Extracting #4: cost 299 inf + 6310 75.365 * * [simplify]: Extracting #5: cost 198 inf + 37803 75.381 * * [simplify]: Extracting #6: cost 47 inf + 127732 75.424 * * [simplify]: Extracting #7: cost 2 inf + 161153 75.461 * * [simplify]: Extracting #8: cost 0 inf + 162915 75.488 * [simplify]: Simplified to (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 75.489 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 75.489 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 75.489 * [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)))) 75.489 * * [simplify]: iters left: 6 (19 enodes) 75.500 * * [simplify]: iters left: 5 (80 enodes) 75.531 * * [simplify]: iters left: 4 (188 enodes) 75.608 * * [simplify]: Extracting #0: cost 1 inf + 0 75.608 * * [simplify]: Extracting #1: cost 46 inf + 0 75.609 * * [simplify]: Extracting #2: cost 129 inf + 166 75.610 * * [simplify]: Extracting #3: cost 141 inf + 1151 75.612 * * [simplify]: Extracting #4: cost 134 inf + 2517 75.620 * * [simplify]: Extracting #5: cost 58 inf + 30514 75.630 * * [simplify]: Extracting #6: cost 4 inf + 61897 75.642 * * [simplify]: Extracting #7: cost 0 inf + 63963 75.660 * [simplify]: Simplified to (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k) 75.660 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) k))) 75.660 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 75.661 * [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)))) 75.661 * * [simplify]: iters left: 6 (17 enodes) 75.666 * * [simplify]: iters left: 5 (81 enodes) 75.681 * * [simplify]: iters left: 4 (174 enodes) 75.743 * * [simplify]: iters left: 3 (496 enodes) 76.086 * * [simplify]: Extracting #0: cost 1 inf + 0 76.086 * * [simplify]: Extracting #1: cost 107 inf + 0 76.089 * * [simplify]: Extracting #2: cost 447 inf + 3 76.093 * * [simplify]: Extracting #3: cost 480 inf + 700 76.099 * * [simplify]: Extracting #4: cost 451 inf + 8170 76.137 * * [simplify]: Extracting #5: cost 227 inf + 137205 76.228 * * [simplify]: Extracting #6: cost 16 inf + 301257 76.319 * * [simplify]: Extracting #7: cost 0 inf + 309985 76.411 * * [simplify]: Extracting #8: cost 0 inf + 309556 76.483 * [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)) 76.483 * [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)))) 76.483 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 76.483 * [simplify]: Simplifying (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 76.483 * * [simplify]: iters left: 6 (15 enodes) 76.492 * * [simplify]: iters left: 5 (63 enodes) 76.513 * * [simplify]: iters left: 4 (106 enodes) 76.536 * * [simplify]: iters left: 3 (172 enodes) 76.574 * * [simplify]: iters left: 2 (328 enodes) 76.750 * * [simplify]: Extracting #0: cost 1 inf + 0 76.750 * * [simplify]: Extracting #1: cost 3 inf + 0 76.750 * * [simplify]: Extracting #2: cost 5 inf + 0 76.750 * * [simplify]: Extracting #3: cost 51 inf + 0 76.751 * * [simplify]: Extracting #4: cost 137 inf + 1 76.752 * * [simplify]: Extracting #5: cost 179 inf + 4 76.754 * * [simplify]: Extracting #6: cost 161 inf + 2627 76.758 * * [simplify]: Extracting #7: cost 124 inf + 10065 76.766 * * [simplify]: Extracting #8: cost 91 inf + 22157 76.786 * * [simplify]: Extracting #9: cost 20 inf + 74380 76.815 * * [simplify]: Extracting #10: cost 0 inf + 86988 76.831 * * [simplify]: Extracting #11: cost 0 inf + 86987 76.844 * [simplify]: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) 76.844 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))) 76.845 * [simplify]: Simplifying (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 76.845 * * [simplify]: iters left: 6 (14 enodes) 76.851 * * [simplify]: iters left: 5 (60 enodes) 76.871 * * [simplify]: iters left: 4 (103 enodes) 76.891 * * [simplify]: iters left: 3 (170 enodes) 76.937 * * [simplify]: iters left: 2 (328 enodes) 77.082 * * [simplify]: Extracting #0: cost 1 inf + 0 77.082 * * [simplify]: Extracting #1: cost 3 inf + 0 77.082 * * [simplify]: Extracting #2: cost 50 inf + 0 77.083 * * [simplify]: Extracting #3: cost 140 inf + 1 77.084 * * [simplify]: Extracting #4: cost 182 inf + 4 77.087 * * [simplify]: Extracting #5: cost 158 inf + 8130 77.103 * * [simplify]: Extracting #6: cost 56 inf + 48493 77.119 * * [simplify]: Extracting #7: cost 1 inf + 79220 77.137 * * [simplify]: Extracting #8: cost 0 inf + 78910 77.153 * * [simplify]: Extracting #9: cost 0 inf + 78499 77.168 * [simplify]: Simplified to (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 77.168 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 77.169 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 77.169 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 77.169 * * [simplify]: iters left: 6 (15 enodes) 77.176 * * [simplify]: iters left: 5 (73 enodes) 77.205 * * [simplify]: iters left: 4 (181 enodes) 77.275 * * [simplify]: Extracting #0: cost 1 inf + 0 77.275 * * [simplify]: Extracting #1: cost 39 inf + 0 77.275 * * [simplify]: Extracting #2: cost 118 inf + 2 77.276 * * [simplify]: Extracting #3: cost 139 inf + 4 77.276 * * [simplify]: Extracting #4: cost 128 inf + 1916 77.282 * * [simplify]: Extracting #5: cost 77 inf + 18238 77.296 * * [simplify]: Extracting #6: cost 25 inf + 50969 77.317 * * [simplify]: Extracting #7: cost 0 inf + 69667 77.338 * * [simplify]: Extracting #8: cost 0 inf + 69151 77.359 * [simplify]: Simplified to (* (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 77.359 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 77.359 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 77.359 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 77.359 * * [simplify]: iters left: 6 (14 enodes) 77.367 * * [simplify]: iters left: 5 (60 enodes) 77.388 * * [simplify]: iters left: 4 (103 enodes) 77.411 * * [simplify]: iters left: 3 (170 enodes) 77.452 * * [simplify]: iters left: 2 (328 enodes) 77.577 * * [simplify]: Extracting #0: cost 1 inf + 0 77.578 * * [simplify]: Extracting #1: cost 3 inf + 0 77.582 * * [simplify]: Extracting #2: cost 50 inf + 0 77.583 * * [simplify]: Extracting #3: cost 140 inf + 1 77.584 * * [simplify]: Extracting #4: cost 182 inf + 4 77.587 * * [simplify]: Extracting #5: cost 158 inf + 8050 77.604 * * [simplify]: Extracting #6: cost 56 inf + 48413 77.635 * * [simplify]: Extracting #7: cost 1 inf + 79140 77.651 * * [simplify]: Extracting #8: cost 0 inf + 78830 77.667 * * [simplify]: Extracting #9: cost 0 inf + 78419 77.683 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 77.684 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))))) 77.684 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 77.684 * * [simplify]: iters left: 6 (14 enodes) 77.688 * * [simplify]: iters left: 5 (60 enodes) 77.699 * * [simplify]: iters left: 4 (103 enodes) 77.719 * * [simplify]: iters left: 3 (170 enodes) 77.762 * * [simplify]: iters left: 2 (328 enodes) 77.933 * * [simplify]: Extracting #0: cost 1 inf + 0 77.933 * * [simplify]: Extracting #1: cost 3 inf + 0 77.933 * * [simplify]: Extracting #2: cost 50 inf + 0 77.934 * * [simplify]: Extracting #3: cost 140 inf + 1 77.935 * * [simplify]: Extracting #4: cost 182 inf + 4 77.936 * * [simplify]: Extracting #5: cost 158 inf + 8050 77.945 * * [simplify]: Extracting #6: cost 56 inf + 48413 77.961 * * [simplify]: Extracting #7: cost 1 inf + 79140 77.978 * * [simplify]: Extracting #8: cost 0 inf + 78830 78.008 * * [simplify]: Extracting #9: cost 0 inf + 78419 78.037 * [simplify]: Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 78.037 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 78.037 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 78.038 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 78.038 * * [simplify]: iters left: 6 (9 enodes) 78.042 * * [simplify]: iters left: 5 (37 enodes) 78.050 * * [simplify]: iters left: 4 (66 enodes) 78.065 * * [simplify]: iters left: 3 (108 enodes) 78.086 * * [simplify]: iters left: 2 (171 enodes) 78.133 * * [simplify]: iters left: 1 (333 enodes) 78.276 * * [simplify]: Extracting #0: cost 1 inf + 0 78.276 * * [simplify]: Extracting #1: cost 29 inf + 0 78.276 * * [simplify]: Extracting #2: cost 101 inf + 3 78.277 * * [simplify]: Extracting #3: cost 86 inf + 1774 78.281 * * [simplify]: Extracting #4: cost 31 inf + 33081 78.287 * * [simplify]: Extracting #5: cost 1 inf + 51691 78.300 * * [simplify]: Extracting #6: cost 0 inf + 52025 78.313 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 78.314 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 78.314 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 78.314 * * [simplify]: iters left: 6 (10 enodes) 78.319 * * [simplify]: iters left: 5 (38 enodes) 78.332 * * [simplify]: iters left: 4 (62 enodes) 78.352 * * [simplify]: iters left: 3 (104 enodes) 78.377 * * [simplify]: iters left: 2 (207 enodes) 78.420 * * [simplify]: iters left: 1 (465 enodes) 78.698 * * [simplify]: Extracting #0: cost 1 inf + 0 78.698 * * [simplify]: Extracting #1: cost 55 inf + 0 78.700 * * [simplify]: Extracting #2: cost 177 inf + 0 78.701 * * [simplify]: Extracting #3: cost 216 inf + 45 78.704 * * [simplify]: Extracting #4: cost 191 inf + 2421 78.710 * * [simplify]: Extracting #5: cost 132 inf + 23321 78.736 * * [simplify]: Extracting #6: cost 21 inf + 119854 78.757 * * [simplify]: Extracting #7: cost 0 inf + 137204 78.778 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)) 78.778 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)))) 78.778 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 78.778 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 78.778 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 78.778 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 78.779 * * [simplify]: iters left: 6 (15 enodes) 78.783 * * [simplify]: iters left: 5 (61 enodes) 78.794 * * [simplify]: iters left: 4 (95 enodes) 78.810 * * [simplify]: iters left: 3 (137 enodes) 78.850 * * [simplify]: iters left: 2 (222 enodes) 78.905 * * [simplify]: iters left: 1 (401 enodes) 79.085 * * [simplify]: Extracting #0: cost 1 inf + 0 79.085 * * [simplify]: Extracting #1: cost 4 inf + 0 79.085 * * [simplify]: Extracting #2: cost 9 inf + 0 79.085 * * [simplify]: Extracting #3: cost 44 inf + 0 79.085 * * [simplify]: Extracting #4: cost 131 inf + 2 79.086 * * [simplify]: Extracting #5: cost 173 inf + 303 79.088 * * [simplify]: Extracting #6: cost 108 inf + 10654 79.096 * * [simplify]: Extracting #7: cost 19 inf + 55422 79.110 * * [simplify]: Extracting #8: cost 0 inf + 68278 79.121 * * [simplify]: Extracting #9: cost 0 inf + 67325 79.132 * * [simplify]: Extracting #10: cost 0 inf + 67233 79.147 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 79.147 * [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)))))) 79.147 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 79.147 * * [simplify]: iters left: 6 (15 enodes) 79.156 * * [simplify]: iters left: 5 (61 enodes) 79.176 * * [simplify]: iters left: 4 (95 enodes) 79.195 * * [simplify]: iters left: 3 (137 enodes) 79.222 * * [simplify]: iters left: 2 (222 enodes) 79.278 * * [simplify]: iters left: 1 (401 enodes) 79.434 * * [simplify]: Extracting #0: cost 1 inf + 0 79.435 * * [simplify]: Extracting #1: cost 4 inf + 0 79.435 * * [simplify]: Extracting #2: cost 9 inf + 0 79.435 * * [simplify]: Extracting #3: cost 44 inf + 0 79.435 * * [simplify]: Extracting #4: cost 131 inf + 2 79.436 * * [simplify]: Extracting #5: cost 173 inf + 303 79.438 * * [simplify]: Extracting #6: cost 108 inf + 10654 79.451 * * [simplify]: Extracting #7: cost 19 inf + 55422 79.473 * * [simplify]: Extracting #8: cost 0 inf + 68278 79.494 * * [simplify]: Extracting #9: cost 0 inf + 67325 79.508 * * [simplify]: Extracting #10: cost 0 inf + 67233 79.519 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 79.519 * [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)))))) 79.519 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 79.519 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 79.520 * * [simplify]: iters left: 6 (16 enodes) 79.530 * * [simplify]: iters left: 5 (66 enodes) 79.551 * * [simplify]: iters left: 4 (106 enodes) 79.572 * * [simplify]: iters left: 3 (153 enodes) 79.601 * * [simplify]: iters left: 2 (239 enodes) 79.651 * * [simplify]: iters left: 1 (425 enodes) 79.766 * * [simplify]: Extracting #0: cost 1 inf + 0 79.766 * * [simplify]: Extracting #1: cost 7 inf + 0 79.766 * * [simplify]: Extracting #2: cost 13 inf + 1 79.766 * * [simplify]: Extracting #3: cost 43 inf + 1 79.767 * * [simplify]: Extracting #4: cost 124 inf + 44 79.767 * * [simplify]: Extracting #5: cost 162 inf + 793 79.769 * * [simplify]: Extracting #6: cost 105 inf + 9363 79.775 * * [simplify]: Extracting #7: cost 41 inf + 30356 79.784 * * [simplify]: Extracting #8: cost 15 inf + 51313 79.795 * * [simplify]: Extracting #9: cost 0 inf + 62598 79.806 * * [simplify]: Extracting #10: cost 0 inf + 62345 79.825 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 79.825 * [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)))))) 79.825 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 79.825 * * [simplify]: iters left: 6 (16 enodes) 79.831 * * [simplify]: iters left: 5 (66 enodes) 79.842 * * [simplify]: iters left: 4 (106 enodes) 79.858 * * [simplify]: iters left: 3 (153 enodes) 79.898 * * [simplify]: iters left: 2 (239 enodes) 79.949 * * [simplify]: iters left: 1 (425 enodes) 80.129 * * [simplify]: Extracting #0: cost 1 inf + 0 80.129 * * [simplify]: Extracting #1: cost 7 inf + 0 80.129 * * [simplify]: Extracting #2: cost 13 inf + 1 80.129 * * [simplify]: Extracting #3: cost 43 inf + 1 80.130 * * [simplify]: Extracting #4: cost 124 inf + 44 80.130 * * [simplify]: Extracting #5: cost 162 inf + 793 80.132 * * [simplify]: Extracting #6: cost 105 inf + 9363 80.138 * * [simplify]: Extracting #7: cost 41 inf + 30356 80.147 * * [simplify]: Extracting #8: cost 15 inf + 51313 80.157 * * [simplify]: Extracting #9: cost 0 inf + 62598 80.177 * * [simplify]: Extracting #10: cost 0 inf + 62345 80.198 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 80.199 * [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))))) 80.199 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 80.199 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 80.199 * * [simplify]: iters left: 6 (16 enodes) 80.213 * * [simplify]: iters left: 5 (66 enodes) 80.234 * * [simplify]: iters left: 4 (106 enodes) 80.258 * * [simplify]: iters left: 3 (153 enodes) 80.289 * * [simplify]: iters left: 2 (239 enodes) 80.363 * * [simplify]: iters left: 1 (425 enodes) 80.499 * * [simplify]: Extracting #0: cost 1 inf + 0 80.499 * * [simplify]: Extracting #1: cost 7 inf + 0 80.500 * * [simplify]: Extracting #2: cost 13 inf + 1 80.500 * * [simplify]: Extracting #3: cost 43 inf + 1 80.501 * * [simplify]: Extracting #4: cost 124 inf + 44 80.502 * * [simplify]: Extracting #5: cost 162 inf + 793 80.506 * * [simplify]: Extracting #6: cost 105 inf + 9363 80.517 * * [simplify]: Extracting #7: cost 41 inf + 30356 80.534 * * [simplify]: Extracting #8: cost 15 inf + 51313 80.556 * * [simplify]: Extracting #9: cost 0 inf + 62598 80.578 * * [simplify]: Extracting #10: cost 0 inf + 62345 80.599 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 80.599 * [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)))))) 80.599 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 80.600 * * [simplify]: iters left: 6 (16 enodes) 80.609 * * [simplify]: iters left: 5 (66 enodes) 80.634 * * [simplify]: iters left: 4 (106 enodes) 80.660 * * [simplify]: iters left: 3 (153 enodes) 80.684 * * [simplify]: iters left: 2 (239 enodes) 80.747 * * [simplify]: iters left: 1 (425 enodes) 80.930 * * [simplify]: Extracting #0: cost 1 inf + 0 80.930 * * [simplify]: Extracting #1: cost 7 inf + 0 80.930 * * [simplify]: Extracting #2: cost 13 inf + 1 80.931 * * [simplify]: Extracting #3: cost 43 inf + 1 80.935 * * [simplify]: Extracting #4: cost 124 inf + 44 80.937 * * [simplify]: Extracting #5: cost 162 inf + 793 80.941 * * [simplify]: Extracting #6: cost 105 inf + 9363 80.951 * * [simplify]: Extracting #7: cost 41 inf + 30356 80.966 * * [simplify]: Extracting #8: cost 15 inf + 51313 80.977 * * [simplify]: Extracting #9: cost 0 inf + 62598 80.988 * * [simplify]: Extracting #10: cost 0 inf + 62345 81.003 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 81.003 * [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))))) 81.003 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 81.004 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 81.004 * * [simplify]: iters left: 6 (15 enodes) 81.012 * * [simplify]: iters left: 5 (63 enodes) 81.032 * * [simplify]: iters left: 4 (101 enodes) 81.053 * * [simplify]: iters left: 3 (149 enodes) 81.084 * * [simplify]: iters left: 2 (232 enodes) 81.138 * * [simplify]: iters left: 1 (411 enodes) 81.295 * * [simplify]: Extracting #0: cost 1 inf + 0 81.295 * * [simplify]: Extracting #1: cost 7 inf + 0 81.295 * * [simplify]: Extracting #2: cost 13 inf + 1 81.295 * * [simplify]: Extracting #3: cost 46 inf + 1 81.295 * * [simplify]: Extracting #4: cost 134 inf + 3 81.296 * * [simplify]: Extracting #5: cost 155 inf + 1743 81.298 * * [simplify]: Extracting #6: cost 102 inf + 10435 81.304 * * [simplify]: Extracting #7: cost 41 inf + 33039 81.314 * * [simplify]: Extracting #8: cost 7 inf + 62690 81.339 * * [simplify]: Extracting #9: cost 0 inf + 68267 81.351 * * [simplify]: Extracting #10: cost 0 inf + 67479 81.363 * * [simplify]: Extracting #11: cost 0 inf + 67297 81.375 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 81.376 * [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)))))) 81.376 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 81.376 * * [simplify]: iters left: 6 (15 enodes) 81.380 * * [simplify]: iters left: 5 (63 enodes) 81.391 * * [simplify]: iters left: 4 (101 enodes) 81.423 * * [simplify]: iters left: 3 (149 enodes) 81.464 * * [simplify]: iters left: 2 (232 enodes) 81.511 * * [simplify]: iters left: 1 (411 enodes) 81.641 * * [simplify]: Extracting #0: cost 1 inf + 0 81.642 * * [simplify]: Extracting #1: cost 7 inf + 0 81.642 * * [simplify]: Extracting #2: cost 13 inf + 1 81.642 * * [simplify]: Extracting #3: cost 46 inf + 1 81.642 * * [simplify]: Extracting #4: cost 134 inf + 3 81.643 * * [simplify]: Extracting #5: cost 155 inf + 1743 81.645 * * [simplify]: Extracting #6: cost 102 inf + 10435 81.651 * * [simplify]: Extracting #7: cost 41 inf + 33039 81.661 * * [simplify]: Extracting #8: cost 7 inf + 62690 81.682 * * [simplify]: Extracting #9: cost 0 inf + 68267 81.708 * * [simplify]: Extracting #10: cost 0 inf + 67479 81.724 * * [simplify]: Extracting #11: cost 0 inf + 67297 81.735 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 81.736 * [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))))) 81.736 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 81.736 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 81.736 * * [simplify]: iters left: 6 (15 enodes) 81.740 * * [simplify]: iters left: 5 (63 enodes) 81.759 * * [simplify]: iters left: 4 (101 enodes) 81.784 * * [simplify]: iters left: 3 (149 enodes) 81.812 * * [simplify]: iters left: 2 (232 enodes) 81.895 * * [simplify]: iters left: 1 (411 enodes) 82.064 * * [simplify]: Extracting #0: cost 1 inf + 0 82.064 * * [simplify]: Extracting #1: cost 7 inf + 0 82.064 * * [simplify]: Extracting #2: cost 13 inf + 1 82.064 * * [simplify]: Extracting #3: cost 46 inf + 1 82.064 * * [simplify]: Extracting #4: cost 134 inf + 3 82.065 * * [simplify]: Extracting #5: cost 155 inf + 1743 82.067 * * [simplify]: Extracting #6: cost 102 inf + 10435 82.073 * * [simplify]: Extracting #7: cost 41 inf + 33039 82.083 * * [simplify]: Extracting #8: cost 7 inf + 62690 82.094 * * [simplify]: Extracting #9: cost 0 inf + 68267 82.114 * * [simplify]: Extracting #10: cost 0 inf + 67479 82.126 * * [simplify]: Extracting #11: cost 0 inf + 67297 82.140 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 82.140 * [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)))))) 82.141 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 82.141 * * [simplify]: iters left: 6 (15 enodes) 82.145 * * [simplify]: iters left: 5 (63 enodes) 82.155 * * [simplify]: iters left: 4 (101 enodes) 82.177 * * [simplify]: iters left: 3 (149 enodes) 82.226 * * [simplify]: iters left: 2 (232 enodes) 82.315 * * [simplify]: iters left: 1 (411 enodes) 82.478 * * [simplify]: Extracting #0: cost 1 inf + 0 82.478 * * [simplify]: Extracting #1: cost 7 inf + 0 82.478 * * [simplify]: Extracting #2: cost 13 inf + 1 82.478 * * [simplify]: Extracting #3: cost 46 inf + 1 82.479 * * [simplify]: Extracting #4: cost 134 inf + 3 82.480 * * [simplify]: Extracting #5: cost 155 inf + 1743 82.484 * * [simplify]: Extracting #6: cost 102 inf + 10435 82.495 * * [simplify]: Extracting #7: cost 41 inf + 33039 82.516 * * [simplify]: Extracting #8: cost 7 inf + 62690 82.540 * * [simplify]: Extracting #9: cost 0 inf + 68267 82.559 * * [simplify]: Extracting #10: cost 0 inf + 67479 82.571 * * [simplify]: Extracting #11: cost 0 inf + 67297 82.582 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 82.582 * [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))))) 82.583 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 82.583 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 82.583 * * [simplify]: iters left: 6 (15 enodes) 82.592 * * [simplify]: iters left: 5 (64 enodes) 82.618 * * [simplify]: iters left: 4 (104 enodes) 82.640 * * [simplify]: iters left: 3 (170 enodes) 82.689 * * [simplify]: iters left: 2 (330 enodes) 82.790 * * [simplify]: Extracting #0: cost 1 inf + 0 82.790 * * [simplify]: Extracting #1: cost 26 inf + 0 82.790 * * [simplify]: Extracting #2: cost 91 inf + 0 82.791 * * [simplify]: Extracting #3: cost 147 inf + 2 82.793 * * [simplify]: Extracting #4: cost 160 inf + 181 82.794 * * [simplify]: Extracting #5: cost 163 inf + 433 82.797 * * [simplify]: Extracting #6: cost 118 inf + 5475 82.808 * * [simplify]: Extracting #7: cost 36 inf + 38282 82.832 * * [simplify]: Extracting #8: cost 1 inf + 64962 82.846 * * [simplify]: Extracting #9: cost 0 inf + 65284 82.857 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))) 82.857 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 82.858 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 82.858 * * [simplify]: iters left: 6 (15 enodes) 82.863 * * [simplify]: iters left: 5 (64 enodes) 82.876 * * [simplify]: iters left: 4 (104 enodes) 82.900 * * [simplify]: iters left: 3 (170 enodes) 82.942 * * [simplify]: iters left: 2 (330 enodes) 83.040 * * [simplify]: Extracting #0: cost 1 inf + 0 83.040 * * [simplify]: Extracting #1: cost 26 inf + 0 83.040 * * [simplify]: Extracting #2: cost 91 inf + 0 83.041 * * [simplify]: Extracting #3: cost 147 inf + 2 83.041 * * [simplify]: Extracting #4: cost 160 inf + 181 83.042 * * [simplify]: Extracting #5: cost 163 inf + 433 83.044 * * [simplify]: Extracting #6: cost 118 inf + 5475 83.049 * * [simplify]: Extracting #7: cost 36 inf + 38282 83.060 * * [simplify]: Extracting #8: cost 1 inf + 64962 83.071 * * [simplify]: Extracting #9: cost 0 inf + 65284 83.092 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))) 83.092 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k)))))) 83.092 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 83.093 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 83.093 * * [simplify]: iters left: 6 (16 enodes) 83.103 * * [simplify]: iters left: 5 (69 enodes) 83.126 * * [simplify]: iters left: 4 (113 enodes) 83.150 * * [simplify]: iters left: 3 (202 enodes) 83.202 * * [simplify]: iters left: 2 (404 enodes) 83.327 * * [simplify]: Extracting #0: cost 1 inf + 0 83.327 * * [simplify]: Extracting #1: cost 51 inf + 0 83.328 * * [simplify]: Extracting #2: cost 156 inf + 1 83.329 * * [simplify]: Extracting #3: cost 212 inf + 3 83.330 * * [simplify]: Extracting #4: cost 201 inf + 4800 83.336 * * [simplify]: Extracting #5: cost 116 inf + 41343 83.353 * * [simplify]: Extracting #6: cost 4 inf + 111061 83.379 * * [simplify]: Extracting #7: cost 0 inf + 108907 83.413 * * [simplify]: Extracting #8: cost 0 inf + 108181 83.448 * * [simplify]: Extracting #9: cost 0 inf + 108050 83.472 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 83.472 * [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)))))) 83.473 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 83.473 * * [simplify]: iters left: 6 (16 enodes) 83.478 * * [simplify]: iters left: 5 (69 enodes) 83.491 * * [simplify]: iters left: 4 (113 enodes) 83.515 * * [simplify]: iters left: 3 (202 enodes) 83.574 * * [simplify]: iters left: 2 (404 enodes) 83.723 * * [simplify]: Extracting #0: cost 1 inf + 0 83.723 * * [simplify]: Extracting #1: cost 51 inf + 0 83.724 * * [simplify]: Extracting #2: cost 156 inf + 1 83.725 * * [simplify]: Extracting #3: cost 212 inf + 3 83.728 * * [simplify]: Extracting #4: cost 201 inf + 4800 83.740 * * [simplify]: Extracting #5: cost 116 inf + 41343 83.772 * * [simplify]: Extracting #6: cost 4 inf + 111061 83.807 * * [simplify]: Extracting #7: cost 0 inf + 108907 83.844 * * [simplify]: Extracting #8: cost 0 inf + 108181 83.879 * * [simplify]: Extracting #9: cost 0 inf + 108050 83.913 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 83.913 * [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))))) 83.914 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 83.914 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 83.914 * * [simplify]: iters left: 6 (16 enodes) 83.925 * * [simplify]: iters left: 5 (69 enodes) 83.948 * * [simplify]: iters left: 4 (113 enodes) 83.989 * * [simplify]: iters left: 3 (202 enodes) 84.044 * * [simplify]: iters left: 2 (404 enodes) 84.213 * * [simplify]: Extracting #0: cost 1 inf + 0 84.213 * * [simplify]: Extracting #1: cost 51 inf + 0 84.214 * * [simplify]: Extracting #2: cost 156 inf + 1 84.216 * * [simplify]: Extracting #3: cost 212 inf + 3 84.219 * * [simplify]: Extracting #4: cost 201 inf + 4800 84.231 * * [simplify]: Extracting #5: cost 116 inf + 41343 84.263 * * [simplify]: Extracting #6: cost 4 inf + 111061 84.297 * * [simplify]: Extracting #7: cost 0 inf + 108907 84.332 * * [simplify]: Extracting #8: cost 0 inf + 108181 84.369 * * [simplify]: Extracting #9: cost 0 inf + 108050 84.403 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 84.404 * [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)))))) 84.404 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 84.404 * * [simplify]: iters left: 6 (16 enodes) 84.414 * * [simplify]: iters left: 5 (69 enodes) 84.437 * * [simplify]: iters left: 4 (113 enodes) 84.477 * * [simplify]: iters left: 3 (202 enodes) 84.558 * * [simplify]: iters left: 2 (404 enodes) 84.723 * * [simplify]: Extracting #0: cost 1 inf + 0 84.723 * * [simplify]: Extracting #1: cost 51 inf + 0 84.723 * * [simplify]: Extracting #2: cost 156 inf + 1 84.724 * * [simplify]: Extracting #3: cost 212 inf + 3 84.725 * * [simplify]: Extracting #4: cost 201 inf + 4800 84.736 * * [simplify]: Extracting #5: cost 116 inf + 41343 84.765 * * [simplify]: Extracting #6: cost 4 inf + 111061 84.783 * * [simplify]: Extracting #7: cost 0 inf + 108907 84.802 * * [simplify]: Extracting #8: cost 0 inf + 108181 84.820 * * [simplify]: Extracting #9: cost 0 inf + 108050 84.843 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 84.843 * [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))))) 84.843 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 84.843 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 84.844 * * [simplify]: iters left: 6 (15 enodes) 84.853 * * [simplify]: iters left: 5 (66 enodes) 84.875 * * [simplify]: iters left: 4 (112 enodes) 84.914 * * [simplify]: iters left: 3 (199 enodes) 84.996 * * [simplify]: iters left: 2 (401 enodes) 85.180 * * [simplify]: Extracting #0: cost 1 inf + 0 85.180 * * [simplify]: Extracting #1: cost 43 inf + 0 85.181 * * [simplify]: Extracting #2: cost 142 inf + 1 85.181 * * [simplify]: Extracting #3: cost 193 inf + 3 85.182 * * [simplify]: Extracting #4: cost 183 inf + 1750 85.185 * * [simplify]: Extracting #5: cost 137 inf + 11375 85.194 * * [simplify]: Extracting #6: cost 41 inf + 67592 85.219 * * [simplify]: Extracting #7: cost 0 inf + 98124 85.251 * * [simplify]: Extracting #8: cost 0 inf + 97429 85.281 * * [simplify]: Extracting #9: cost 0 inf + 97298 85.298 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 85.298 * [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)) (/ 1 (sqrt (sqrt k)))))) 85.298 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 85.298 * * [simplify]: iters left: 6 (15 enodes) 85.304 * * [simplify]: iters left: 5 (66 enodes) 85.319 * * [simplify]: iters left: 4 (112 enodes) 85.350 * * [simplify]: iters left: 3 (199 enodes) 85.418 * * [simplify]: iters left: 2 (401 enodes) 85.564 * * [simplify]: Extracting #0: cost 1 inf + 0 85.564 * * [simplify]: Extracting #1: cost 43 inf + 0 85.565 * * [simplify]: Extracting #2: cost 142 inf + 1 85.567 * * [simplify]: Extracting #3: cost 193 inf + 3 85.569 * * [simplify]: Extracting #4: cost 183 inf + 1750 85.573 * * [simplify]: Extracting #5: cost 137 inf + 11375 85.596 * * [simplify]: Extracting #6: cost 41 inf + 67592 85.627 * * [simplify]: Extracting #7: cost 0 inf + 98124 85.659 * * [simplify]: Extracting #8: cost 0 inf + 97429 85.692 * * [simplify]: Extracting #9: cost 0 inf + 97298 85.719 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 85.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 85.720 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 85.720 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 85.720 * * [simplify]: iters left: 6 (15 enodes) 85.725 * * [simplify]: iters left: 5 (66 enodes) 85.739 * * [simplify]: iters left: 4 (112 enodes) 85.776 * * [simplify]: iters left: 3 (199 enodes) 85.835 * * [simplify]: iters left: 2 (401 enodes) 85.999 * * [simplify]: Extracting #0: cost 1 inf + 0 85.999 * * [simplify]: Extracting #1: cost 43 inf + 0 85.999 * * [simplify]: Extracting #2: cost 142 inf + 1 86.000 * * [simplify]: Extracting #3: cost 193 inf + 3 86.001 * * [simplify]: Extracting #4: cost 183 inf + 1750 86.004 * * [simplify]: Extracting #5: cost 137 inf + 11375 86.013 * * [simplify]: Extracting #6: cost 41 inf + 67592 86.042 * * [simplify]: Extracting #7: cost 0 inf + 98124 86.064 * * [simplify]: Extracting #8: cost 0 inf + 97429 86.081 * * [simplify]: Extracting #9: cost 0 inf + 97298 86.111 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 86.111 * [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)) (/ 1 (sqrt (sqrt k)))))) 86.111 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 86.111 * * [simplify]: iters left: 6 (15 enodes) 86.120 * * [simplify]: iters left: 5 (66 enodes) 86.131 * * [simplify]: iters left: 4 (112 enodes) 86.157 * * [simplify]: iters left: 3 (199 enodes) 86.240 * * [simplify]: iters left: 2 (401 enodes) 86.385 * * [simplify]: Extracting #0: cost 1 inf + 0 86.386 * * [simplify]: Extracting #1: cost 43 inf + 0 86.387 * * [simplify]: Extracting #2: cost 142 inf + 1 86.388 * * [simplify]: Extracting #3: cost 193 inf + 3 86.390 * * [simplify]: Extracting #4: cost 183 inf + 1750 86.395 * * [simplify]: Extracting #5: cost 137 inf + 11375 86.404 * * [simplify]: Extracting #6: cost 41 inf + 67592 86.420 * * [simplify]: Extracting #7: cost 0 inf + 98124 86.439 * * [simplify]: Extracting #8: cost 0 inf + 97429 86.461 * * [simplify]: Extracting #9: cost 0 inf + 97298 86.492 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 86.492 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 86.492 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 86.493 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 86.493 * * [simplify]: iters left: 6 (15 enodes) 86.502 * * [simplify]: iters left: 5 (63 enodes) 86.523 * * [simplify]: iters left: 4 (109 enodes) 86.561 * * [simplify]: iters left: 3 (183 enodes) 86.637 * * [simplify]: iters left: 2 (386 enodes) 86.866 * * [simplify]: Extracting #0: cost 1 inf + 0 86.866 * * [simplify]: Extracting #1: cost 60 inf + 0 86.867 * * [simplify]: Extracting #2: cost 190 inf + 0 86.868 * * [simplify]: Extracting #3: cost 237 inf + 2 86.869 * * [simplify]: Extracting #4: cost 243 inf + 222 86.870 * * [simplify]: Extracting #5: cost 221 inf + 3233 86.876 * * [simplify]: Extracting #6: cost 121 inf + 43776 86.904 * * [simplify]: Extracting #7: cost 6 inf + 137020 86.945 * * [simplify]: Extracting #8: cost 0 inf + 141578 86.969 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 86.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 86.969 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 86.969 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) 86.969 * * [simplify]: iters left: 6 (14 enodes) 86.976 * * [simplify]: iters left: 5 (58 enodes) 86.996 * * [simplify]: iters left: 4 (95 enodes) 87.027 * * [simplify]: iters left: 3 (146 enodes) 87.059 * * [simplify]: iters left: 2 (265 enodes) 87.134 * * [simplify]: Extracting #0: cost 1 inf + 0 87.135 * * [simplify]: Extracting #1: cost 41 inf + 0 87.135 * * [simplify]: Extracting #2: cost 116 inf + 0 87.136 * * [simplify]: Extracting #3: cost 160 inf + 2 87.137 * * [simplify]: Extracting #4: cost 166 inf + 221 87.139 * * [simplify]: Extracting #5: cost 159 inf + 804 87.143 * * [simplify]: Extracting #6: cost 105 inf + 11535 87.158 * * [simplify]: Extracting #7: cost 25 inf + 61723 87.182 * * [simplify]: Extracting #8: cost 0 inf + 81786 87.205 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) 87.205 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 87.205 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 87.206 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 87.206 * * [simplify]: iters left: 6 (17 enodes) 87.220 * * [simplify]: iters left: 5 (75 enodes) 87.238 * * [simplify]: iters left: 4 (123 enodes) 87.263 * * [simplify]: iters left: 3 (257 enodes) 87.370 * * [simplify]: Extracting #0: cost 1 inf + 0 87.371 * * [simplify]: Extracting #1: cost 40 inf + 0 87.371 * * [simplify]: Extracting #2: cost 99 inf + 1 87.371 * * [simplify]: Extracting #3: cost 133 inf + 2 87.372 * * [simplify]: Extracting #4: cost 129 inf + 553 87.375 * * [simplify]: Extracting #5: cost 64 inf + 18363 87.385 * * [simplify]: Extracting #6: cost 2 inf + 52716 87.402 * * [simplify]: Extracting #7: cost 0 inf + 54701 87.419 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 87.419 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k))))) 87.419 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 87.419 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) 87.419 * * [simplify]: iters left: 6 (17 enodes) 87.433 * * [simplify]: iters left: 5 (72 enodes) 87.456 * * [simplify]: iters left: 4 (109 enodes) 87.478 * * [simplify]: iters left: 3 (173 enodes) 87.533 * * [simplify]: iters left: 2 (319 enodes) 87.663 * * [simplify]: Extracting #0: cost 1 inf + 0 87.663 * * [simplify]: Extracting #1: cost 45 inf + 0 87.664 * * [simplify]: Extracting #2: cost 134 inf + 1 87.665 * * [simplify]: Extracting #3: cost 180 inf + 3 87.667 * * [simplify]: Extracting #4: cost 179 inf + 1180 87.670 * * [simplify]: Extracting #5: cost 140 inf + 6195 87.682 * * [simplify]: Extracting #6: cost 99 inf + 20103 87.700 * * [simplify]: Extracting #7: cost 24 inf + 73724 87.726 * * [simplify]: Extracting #8: cost 1 inf + 93380 87.752 * * [simplify]: Extracting #9: cost 0 inf + 93381 87.779 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k))) 87.779 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k))))) 87.779 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 87.779 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) 87.779 * * [simplify]: iters left: 6 (16 enodes) 87.786 * * [simplify]: iters left: 5 (68 enodes) 87.797 * * [simplify]: iters left: 4 (105 enodes) 87.818 * * [simplify]: iters left: 3 (170 enodes) 87.865 * * [simplify]: iters left: 2 (314 enodes) 87.969 * * [simplify]: Extracting #0: cost 1 inf + 0 87.969 * * [simplify]: Extracting #1: cost 40 inf + 0 87.969 * * [simplify]: Extracting #2: cost 127 inf + 1 87.970 * * [simplify]: Extracting #3: cost 172 inf + 3 87.971 * * [simplify]: Extracting #4: cost 174 inf + 388 87.972 * * [simplify]: Extracting #5: cost 133 inf + 5670 87.977 * * [simplify]: Extracting #6: cost 62 inf + 38216 87.992 * * [simplify]: Extracting #7: cost 9 inf + 76393 88.021 * * [simplify]: Extracting #8: cost 0 inf + 82140 88.045 * * [simplify]: Extracting #9: cost 0 inf + 81930 88.069 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 88.069 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) 88.069 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 88.070 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) 88.070 * * [simplify]: iters left: 6 (15 enodes) 88.085 * * [simplify]: iters left: 5 (65 enodes) 88.105 * * [simplify]: iters left: 4 (98 enodes) 88.135 * * [simplify]: iters left: 3 (145 enodes) 88.183 * * [simplify]: iters left: 2 (255 enodes) 88.242 * * [simplify]: Extracting #0: cost 1 inf + 0 88.242 * * [simplify]: Extracting #1: cost 25 inf + 0 88.243 * * [simplify]: Extracting #2: cost 92 inf + 2 88.243 * * [simplify]: Extracting #3: cost 124 inf + 174 88.244 * * [simplify]: Extracting #4: cost 120 inf + 431 88.244 * * [simplify]: Extracting #5: cost 101 inf + 1713 88.246 * * [simplify]: Extracting #6: cost 50 inf + 14679 88.254 * * [simplify]: Extracting #7: cost 2 inf + 43070 88.268 * * [simplify]: Extracting #8: cost 0 inf + 44314 88.281 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 88.281 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (cbrt 1) (sqrt k)))) 88.281 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 88.282 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) 88.282 * * [simplify]: iters left: 6 (16 enodes) 88.293 * * [simplify]: iters left: 5 (68 enodes) 88.310 * * [simplify]: iters left: 4 (105 enodes) 88.327 * * [simplify]: iters left: 3 (170 enodes) 88.390 * * [simplify]: iters left: 2 (314 enodes) 88.520 * * [simplify]: Extracting #0: cost 1 inf + 0 88.520 * * [simplify]: Extracting #1: cost 40 inf + 0 88.521 * * [simplify]: Extracting #2: cost 127 inf + 1 88.522 * * [simplify]: Extracting #3: cost 172 inf + 3 88.523 * * [simplify]: Extracting #4: cost 174 inf + 388 88.526 * * [simplify]: Extracting #5: cost 133 inf + 5670 88.536 * * [simplify]: Extracting #6: cost 62 inf + 38216 88.556 * * [simplify]: Extracting #7: cost 9 inf + 76393 88.580 * * [simplify]: Extracting #8: cost 0 inf + 82140 88.604 * * [simplify]: Extracting #9: cost 0 inf + 81930 88.616 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 88.616 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k))))) 88.616 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 88.616 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) 88.616 * * [simplify]: iters left: 6 (14 enodes) 88.624 * * [simplify]: iters left: 5 (60 enodes) 88.638 * * [simplify]: iters left: 4 (93 enodes) 88.652 * * [simplify]: iters left: 3 (140 enodes) 88.688 * * [simplify]: iters left: 2 (249 enodes) 88.757 * * [simplify]: Extracting #0: cost 1 inf + 0 88.757 * * [simplify]: Extracting #1: cost 28 inf + 0 88.757 * * [simplify]: Extracting #2: cost 96 inf + 2 88.758 * * [simplify]: Extracting #3: cost 127 inf + 174 88.758 * * [simplify]: Extracting #4: cost 124 inf + 389 88.760 * * [simplify]: Extracting #5: cost 88 inf + 4892 88.763 * * [simplify]: Extracting #6: cost 32 inf + 26027 88.770 * * [simplify]: Extracting #7: cost 0 inf + 48352 88.780 * * [simplify]: Extracting #8: cost 0 inf + 47088 88.787 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 88.787 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ (cbrt 1) (sqrt k)))) 88.787 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 88.788 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 88.788 * * [simplify]: iters left: 6 (16 enodes) 88.798 * * [simplify]: iters left: 5 (68 enodes) 88.817 * * [simplify]: iters left: 4 (123 enodes) 88.841 * * [simplify]: iters left: 3 (245 enodes) 88.969 * * [simplify]: Extracting #0: cost 1 inf + 0 88.969 * * [simplify]: Extracting #1: cost 41 inf + 0 88.970 * * [simplify]: Extracting #2: cost 98 inf + 1 88.971 * * [simplify]: Extracting #3: cost 132 inf + 2 88.972 * * [simplify]: Extracting #4: cost 128 inf + 679 88.977 * * [simplify]: Extracting #5: cost 63 inf + 19384 88.989 * * [simplify]: Extracting #6: cost 7 inf + 46275 88.997 * * [simplify]: Extracting #7: cost 0 inf + 51378 89.008 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 89.008 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k))))) 89.008 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 89.008 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) 89.009 * * [simplify]: iters left: 6 (16 enodes) 89.014 * * [simplify]: iters left: 5 (67 enodes) 89.035 * * [simplify]: iters left: 4 (108 enodes) 89.071 * * [simplify]: iters left: 3 (180 enodes) 89.123 * * [simplify]: iters left: 2 (338 enodes) 89.233 * * [simplify]: Extracting #0: cost 1 inf + 0 89.234 * * [simplify]: Extracting #1: cost 49 inf + 0 89.235 * * [simplify]: Extracting #2: cost 150 inf + 1 89.236 * * [simplify]: Extracting #3: cost 196 inf + 3 89.239 * * [simplify]: Extracting #4: cost 171 inf + 6049 89.248 * * [simplify]: Extracting #5: cost 93 inf + 34674 89.261 * * [simplify]: Extracting #6: cost 13 inf + 91495 89.278 * * [simplify]: Extracting #7: cost 0 inf + 102030 89.312 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 89.312 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k))))) 89.312 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 89.312 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 89.312 * * [simplify]: iters left: 6 (15 enodes) 89.322 * * [simplify]: iters left: 5 (63 enodes) 89.342 * * [simplify]: iters left: 4 (104 enodes) 89.374 * * [simplify]: iters left: 3 (172 enodes) 89.420 * * [simplify]: iters left: 2 (329 enodes) 89.542 * * [simplify]: Extracting #0: cost 1 inf + 0 89.542 * * [simplify]: Extracting #1: cost 47 inf + 0 89.543 * * [simplify]: Extracting #2: cost 142 inf + 1 89.544 * * [simplify]: Extracting #3: cost 187 inf + 3 89.545 * * [simplify]: Extracting #4: cost 164 inf + 4688 89.549 * * [simplify]: Extracting #5: cost 84 inf + 35416 89.569 * * [simplify]: Extracting #6: cost 6 inf + 91327 89.598 * * [simplify]: Extracting #7: cost 0 inf + 95967 89.631 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.631 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) 89.631 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 89.631 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) 89.632 * * [simplify]: iters left: 6 (13 enodes) 89.641 * * [simplify]: iters left: 5 (53 enodes) 89.659 * * [simplify]: iters left: 4 (88 enodes) 89.682 * * [simplify]: iters left: 3 (131 enodes) 89.704 * * [simplify]: iters left: 2 (220 enodes) 89.785 * * [simplify]: iters left: 1 (419 enodes) 89.988 * * [simplify]: Extracting #0: cost 1 inf + 0 89.988 * * [simplify]: Extracting #1: cost 25 inf + 0 89.988 * * [simplify]: Extracting #2: cost 111 inf + 2 89.989 * * [simplify]: Extracting #3: cost 170 inf + 176 89.990 * * [simplify]: Extracting #4: cost 168 inf + 561 89.992 * * [simplify]: Extracting #5: cost 107 inf + 12336 90.005 * * [simplify]: Extracting #6: cost 19 inf + 53876 90.025 * * [simplify]: Extracting #7: cost 0 inf + 63403 90.038 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 90.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 90.038 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 90.038 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 90.038 * * [simplify]: iters left: 6 (15 enodes) 90.044 * * [simplify]: iters left: 5 (63 enodes) 90.057 * * [simplify]: iters left: 4 (104 enodes) 90.093 * * [simplify]: iters left: 3 (172 enodes) 90.156 * * [simplify]: iters left: 2 (329 enodes) 90.293 * * [simplify]: Extracting #0: cost 1 inf + 0 90.293 * * [simplify]: Extracting #1: cost 47 inf + 0 90.293 * * [simplify]: Extracting #2: cost 142 inf + 1 90.294 * * [simplify]: Extracting #3: cost 187 inf + 3 90.295 * * [simplify]: Extracting #4: cost 164 inf + 4688 90.300 * * [simplify]: Extracting #5: cost 84 inf + 35416 90.324 * * [simplify]: Extracting #6: cost 6 inf + 91327 90.350 * * [simplify]: Extracting #7: cost 0 inf + 95967 90.374 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 90.375 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k))))) 90.375 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 90.375 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 90.375 * * [simplify]: iters left: 6 (13 enodes) 90.387 * * [simplify]: iters left: 5 (55 enodes) 90.403 * * [simplify]: iters left: 4 (88 enodes) 90.431 * * [simplify]: iters left: 3 (139 enodes) 90.461 * * [simplify]: iters left: 2 (252 enodes) 90.538 * * [simplify]: Extracting #0: cost 1 inf + 0 90.538 * * [simplify]: Extracting #1: cost 28 inf + 0 90.538 * * [simplify]: Extracting #2: cost 101 inf + 2 90.539 * * [simplify]: Extracting #3: cost 133 inf + 174 90.540 * * [simplify]: Extracting #4: cost 126 inf + 679 90.543 * * [simplify]: Extracting #5: cost 85 inf + 5638 90.549 * * [simplify]: Extracting #6: cost 44 inf + 19678 90.560 * * [simplify]: Extracting #7: cost 3 inf + 48036 90.575 * * [simplify]: Extracting #8: cost 0 inf + 49308 90.589 * * [simplify]: Extracting #9: cost 0 inf + 49046 90.607 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 90.607 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt k)))) 90.607 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 90.607 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 90.608 * * [simplify]: iters left: 6 (15 enodes) 90.616 * * [simplify]: iters left: 5 (65 enodes) 90.637 * * [simplify]: iters left: 4 (116 enodes) 90.659 * * [simplify]: iters left: 3 (215 enodes) 90.735 * * [simplify]: iters left: 2 (463 enodes) 90.975 * * [simplify]: Extracting #0: cost 1 inf + 0 90.975 * * [simplify]: Extracting #1: cost 66 inf + 0 90.977 * * [simplify]: Extracting #2: cost 247 inf + 1 90.979 * * [simplify]: Extracting #3: cost 310 inf + 3 90.983 * * [simplify]: Extracting #4: cost 294 inf + 2774 90.996 * * [simplify]: Extracting #5: cost 175 inf + 50818 91.037 * * [simplify]: Extracting #6: cost 25 inf + 161993 91.079 * * [simplify]: Extracting #7: cost 0 inf + 184613 91.125 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 91.125 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k))))) 91.125 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 91.126 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) 91.126 * * [simplify]: iters left: 6 (15 enodes) 91.134 * * [simplify]: iters left: 5 (64 enodes) 91.157 * * [simplify]: iters left: 4 (107 enodes) 91.193 * * [simplify]: iters left: 3 (174 enodes) 91.264 * * [simplify]: iters left: 2 (330 enodes) 91.374 * * [simplify]: Extracting #0: cost 1 inf + 0 91.374 * * [simplify]: Extracting #1: cost 43 inf + 0 91.375 * * [simplify]: Extracting #2: cost 135 inf + 1 91.376 * * [simplify]: Extracting #3: cost 181 inf + 3 91.383 * * [simplify]: Extracting #4: cost 155 inf + 7404 91.393 * * [simplify]: Extracting #5: cost 47 inf + 57333 91.409 * * [simplify]: Extracting #6: cost 1 inf + 84608 91.431 * * [simplify]: Extracting #7: cost 0 inf + 83938 91.447 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) 91.447 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))))) 91.448 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 91.448 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) 91.448 * * [simplify]: iters left: 6 (14 enodes) 91.453 * * [simplify]: iters left: 5 (60 enodes) 91.473 * * [simplify]: iters left: 4 (103 enodes) 91.493 * * [simplify]: iters left: 3 (170 enodes) 91.540 * * [simplify]: iters left: 2 (328 enodes) 91.678 * * [simplify]: Extracting #0: cost 1 inf + 0 91.679 * * [simplify]: Extracting #1: cost 42 inf + 0 91.679 * * [simplify]: Extracting #2: cost 131 inf + 1 91.679 * * [simplify]: Extracting #3: cost 176 inf + 3 91.680 * * [simplify]: Extracting #4: cost 176 inf + 764 91.682 * * [simplify]: Extracting #5: cost 127 inf + 8834 91.698 * * [simplify]: Extracting #6: cost 37 inf + 57669 91.726 * * [simplify]: Extracting #7: cost 0 inf + 88650 91.744 * * [simplify]: Extracting #8: cost 0 inf + 88330 91.759 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 91.759 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 91.759 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 91.759 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) 91.759 * * [simplify]: iters left: 6 (13 enodes) 91.765 * * [simplify]: iters left: 5 (57 enodes) 91.782 * * [simplify]: iters left: 4 (92 enodes) 91.806 * * [simplify]: iters left: 3 (143 enodes) 91.832 * * [simplify]: iters left: 2 (257 enodes) 91.916 * * [simplify]: Extracting #0: cost 1 inf + 0 91.916 * * [simplify]: Extracting #1: cost 25 inf + 0 91.917 * * [simplify]: Extracting #2: cost 96 inf + 2 91.917 * * [simplify]: Extracting #3: cost 126 inf + 216 91.918 * * [simplify]: Extracting #4: cost 119 inf + 679 91.919 * * [simplify]: Extracting #5: cost 74 inf + 8575 91.926 * * [simplify]: Extracting #6: cost 28 inf + 27383 91.939 * * [simplify]: Extracting #7: cost 1 inf + 45138 91.952 * * [simplify]: Extracting #8: cost 0 inf + 46177 91.967 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 91.967 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 91.968 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 91.968 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) 91.968 * * [simplify]: iters left: 6 (14 enodes) 91.976 * * [simplify]: iters left: 5 (60 enodes) 91.997 * * [simplify]: iters left: 4 (103 enodes) 92.025 * * [simplify]: iters left: 3 (170 enodes) 92.060 * * [simplify]: iters left: 2 (328 enodes) 92.203 * * [simplify]: Extracting #0: cost 1 inf + 0 92.203 * * [simplify]: Extracting #1: cost 42 inf + 0 92.203 * * [simplify]: Extracting #2: cost 131 inf + 1 92.204 * * [simplify]: Extracting #3: cost 176 inf + 3 92.204 * * [simplify]: Extracting #4: cost 176 inf + 764 92.206 * * [simplify]: Extracting #5: cost 127 inf + 8834 92.215 * * [simplify]: Extracting #6: cost 37 inf + 57669 92.234 * * [simplify]: Extracting #7: cost 0 inf + 88650 92.248 * * [simplify]: Extracting #8: cost 0 inf + 88330 92.263 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 92.263 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))))) 92.263 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 92.263 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) 92.263 * * [simplify]: iters left: 6 (12 enodes) 92.267 * * [simplify]: iters left: 5 (50 enodes) 92.287 * * [simplify]: iters left: 4 (85 enodes) 92.306 * * [simplify]: iters left: 3 (131 enodes) 92.329 * * [simplify]: iters left: 2 (225 enodes) 92.412 * * [simplify]: iters left: 1 (427 enodes) 92.638 * * [simplify]: Extracting #0: cost 1 inf + 0 92.638 * * [simplify]: Extracting #1: cost 26 inf + 0 92.639 * * [simplify]: Extracting #2: cost 118 inf + 2 92.640 * * [simplify]: Extracting #3: cost 168 inf + 218 92.642 * * [simplify]: Extracting #4: cost 160 inf + 1179 92.646 * * [simplify]: Extracting #5: cost 97 inf + 8417 92.658 * * [simplify]: Extracting #6: cost 37 inf + 36866 92.683 * * [simplify]: Extracting #7: cost 0 inf + 68601 92.705 * * [simplify]: Extracting #8: cost 0 inf + 67546 92.729 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 92.729 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 92.729 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 92.730 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 92.730 * * [simplify]: iters left: 6 (11 enodes) 92.737 * * [simplify]: iters left: 5 (47 enodes) 92.753 * * [simplify]: iters left: 4 (82 enodes) 92.780 * * [simplify]: iters left: 3 (129 enodes) 92.815 * * [simplify]: iters left: 2 (240 enodes) 92.900 * * [simplify]: iters left: 1 (466 enodes) 93.141 * * [simplify]: Extracting #0: cost 1 inf + 0 93.141 * * [simplify]: Extracting #1: cost 25 inf + 0 93.142 * * [simplify]: Extracting #2: cost 118 inf + 2 93.143 * * [simplify]: Extracting #3: cost 177 inf + 176 93.145 * * [simplify]: Extracting #4: cost 165 inf + 1265 93.151 * * [simplify]: Extracting #5: cost 85 inf + 12534 93.161 * * [simplify]: Extracting #6: cost 40 inf + 35375 93.181 * * [simplify]: Extracting #7: cost 3 inf + 68656 93.202 * * [simplify]: Extracting #8: cost 0 inf + 70677 93.228 * * [simplify]: Extracting #9: cost 0 inf + 70337 93.246 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 93.247 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 93.247 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 93.247 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 93.247 * * [simplify]: iters left: 6 (11 enodes) 93.251 * * [simplify]: iters left: 5 (47 enodes) 93.260 * * [simplify]: iters left: 4 (82 enodes) 93.277 * * [simplify]: iters left: 3 (129 enodes) 93.310 * * [simplify]: iters left: 2 (240 enodes) 93.390 * * [simplify]: iters left: 1 (466 enodes) 93.676 * * [simplify]: Extracting #0: cost 1 inf + 0 93.676 * * [simplify]: Extracting #1: cost 25 inf + 0 93.677 * * [simplify]: Extracting #2: cost 118 inf + 2 93.678 * * [simplify]: Extracting #3: cost 177 inf + 176 93.680 * * [simplify]: Extracting #4: cost 165 inf + 1265 93.686 * * [simplify]: Extracting #5: cost 85 inf + 12534 93.697 * * [simplify]: Extracting #6: cost 40 inf + 35375 93.718 * * [simplify]: Extracting #7: cost 3 inf + 68656 93.743 * * [simplify]: Extracting #8: cost 0 inf + 70677 93.771 * * [simplify]: Extracting #9: cost 0 inf + 70337 93.791 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 93.792 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (/ 1 (sqrt k)))) 93.792 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 93.792 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 93.792 * * [simplify]: iters left: 6 (11 enodes) 93.796 * * [simplify]: iters left: 5 (48 enodes) 93.805 * * [simplify]: iters left: 4 (79 enodes) 93.820 * * [simplify]: iters left: 3 (145 enodes) 93.885 * * [simplify]: iters left: 2 (322 enodes) 93.990 * * [simplify]: Extracting #0: cost 1 inf + 0 93.990 * * [simplify]: Extracting #1: cost 42 inf + 0 93.991 * * [simplify]: Extracting #2: cost 133 inf + 1 93.991 * * [simplify]: Extracting #3: cost 172 inf + 168 93.992 * * [simplify]: Extracting #4: cost 168 inf + 1009 93.994 * * [simplify]: Extracting #5: cost 122 inf + 10221 94.005 * * [simplify]: Extracting #6: cost 54 inf + 41066 94.028 * * [simplify]: Extracting #7: cost 5 inf + 77173 94.053 * * [simplify]: Extracting #8: cost 0 inf + 77959 94.071 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 94.071 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 94.071 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 94.071 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))) 94.071 * * [simplify]: iters left: 6 (14 enodes) 94.075 * * [simplify]: iters left: 5 (60 enodes) 94.085 * * [simplify]: iters left: 4 (97 enodes) 94.110 * * [simplify]: iters left: 3 (145 enodes) 94.148 * * [simplify]: iters left: 2 (227 enodes) 94.201 * * [simplify]: iters left: 1 (413 enodes) 94.353 * * [simplify]: Extracting #0: cost 1 inf + 0 94.353 * * [simplify]: Extracting #1: cost 7 inf + 0 94.353 * * [simplify]: Extracting #2: cost 12 inf + 1 94.353 * * [simplify]: Extracting #3: cost 39 inf + 43 94.354 * * [simplify]: Extracting #4: cost 114 inf + 167 94.355 * * [simplify]: Extracting #5: cost 166 inf + 673 94.358 * * [simplify]: Extracting #6: cost 92 inf + 21425 94.372 * * [simplify]: Extracting #7: cost 11 inf + 62006 94.396 * * [simplify]: Extracting #8: cost 0 inf + 69120 94.419 * * [simplify]: Extracting #9: cost 0 inf + 67206 94.443 * * [simplify]: Extracting #10: cost 0 inf + 67088 94.466 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 94.466 * [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 (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 94.466 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 94.466 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))) 94.467 * * [simplify]: iters left: 6 (14 enodes) 94.478 * * [simplify]: iters left: 5 (60 enodes) 94.499 * * [simplify]: iters left: 4 (98 enodes) 94.530 * * [simplify]: iters left: 3 (146 enodes) 94.556 * * [simplify]: iters left: 2 (229 enodes) 94.609 * * [simplify]: iters left: 1 (410 enodes) 94.737 * * [simplify]: Extracting #0: cost 1 inf + 0 94.737 * * [simplify]: Extracting #1: cost 7 inf + 0 94.737 * * [simplify]: Extracting #2: cost 13 inf + 1 94.737 * * [simplify]: Extracting #3: cost 42 inf + 43 94.737 * * [simplify]: Extracting #4: cost 126 inf + 167 94.738 * * [simplify]: Extracting #5: cost 155 inf + 757 94.743 * * [simplify]: Extracting #6: cost 103 inf + 7247 94.751 * * [simplify]: Extracting #7: cost 50 inf + 26689 94.768 * * [simplify]: Extracting #8: cost 10 inf + 58337 94.788 * * [simplify]: Extracting #9: cost 0 inf + 65573 94.799 * * [simplify]: Extracting #10: cost 0 inf + 64564 94.810 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 94.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 94.810 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 94.810 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))) 94.810 * * [simplify]: iters left: 6 (13 enodes) 94.814 * * [simplify]: iters left: 5 (57 enodes) 94.834 * * [simplify]: iters left: 4 (100 enodes) 94.869 * * [simplify]: iters left: 3 (167 enodes) 94.928 * * [simplify]: iters left: 2 (325 enodes) 95.062 * * [simplify]: Extracting #0: cost 1 inf + 0 95.062 * * [simplify]: Extracting #1: cost 44 inf + 0 95.067 * * [simplify]: Extracting #2: cost 129 inf + 1 95.068 * * [simplify]: Extracting #3: cost 172 inf + 4 95.070 * * [simplify]: Extracting #4: cost 170 inf + 968 95.072 * * [simplify]: Extracting #5: cost 129 inf + 6676 95.081 * * [simplify]: Extracting #6: cost 40 inf + 53524 95.094 * * [simplify]: Extracting #7: cost 1 inf + 80619 95.110 * * [simplify]: Extracting #8: cost 0 inf + 80594 95.135 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 95.135 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 95.136 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 95.136 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))) 95.136 * * [simplify]: iters left: 6 (14 enodes) 95.141 * * [simplify]: iters left: 5 (63 enodes) 95.152 * * [simplify]: iters left: 4 (109 enodes) 95.182 * * [simplify]: iters left: 3 (192 enodes) 95.241 * * [simplify]: iters left: 2 (392 enodes) 95.401 * * [simplify]: Extracting #0: cost 1 inf + 0 95.401 * * [simplify]: Extracting #1: cost 44 inf + 0 95.401 * * [simplify]: Extracting #2: cost 134 inf + 1 95.402 * * [simplify]: Extracting #3: cost 185 inf + 4 95.403 * * [simplify]: Extracting #4: cost 165 inf + 6917 95.408 * * [simplify]: Extracting #5: cost 100 inf + 22977 95.419 * * [simplify]: Extracting #6: cost 14 inf + 79066 95.434 * * [simplify]: Extracting #7: cost 0 inf + 89193 95.465 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)) 95.465 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt k)))) 95.466 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 95.466 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 95.466 * * [simplify]: iters left: 6 (11 enodes) 95.473 * * [simplify]: iters left: 5 (47 enodes) 95.490 * * [simplify]: iters left: 4 (82 enodes) 95.504 * * [simplify]: iters left: 3 (129 enodes) 95.536 * * [simplify]: iters left: 2 (240 enodes) 95.600 * * [simplify]: iters left: 1 (466 enodes) 95.815 * * [simplify]: Extracting #0: cost 1 inf + 0 95.815 * * [simplify]: Extracting #1: cost 25 inf + 0 95.816 * * [simplify]: Extracting #2: cost 118 inf + 2 95.816 * * [simplify]: Extracting #3: cost 177 inf + 176 95.817 * * [simplify]: Extracting #4: cost 165 inf + 1265 95.820 * * [simplify]: Extracting #5: cost 85 inf + 12534 95.826 * * [simplify]: Extracting #6: cost 40 inf + 35375 95.837 * * [simplify]: Extracting #7: cost 3 inf + 68656 95.861 * * [simplify]: Extracting #8: cost 0 inf + 70677 95.885 * * [simplify]: Extracting #9: cost 0 inf + 70337 95.910 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 95.910 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (sqrt k))) 95.910 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 95.911 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 95.911 * * [simplify]: iters left: 6 (12 enodes) 95.922 * * [simplify]: iters left: 5 (50 enodes) 95.942 * * [simplify]: iters left: 4 (88 enodes) 95.975 * * [simplify]: iters left: 3 (169 enodes) 96.012 * * [simplify]: iters left: 2 (293 enodes) 96.139 * * [simplify]: Extracting #0: cost 1 inf + 0 96.140 * * [simplify]: Extracting #1: cost 34 inf + 0 96.140 * * [simplify]: Extracting #2: cost 101 inf + 1 96.140 * * [simplify]: Extracting #3: cost 100 inf + 91 96.141 * * [simplify]: Extracting #4: cost 91 inf + 844 96.143 * * [simplify]: Extracting #5: cost 54 inf + 14600 96.149 * * [simplify]: Extracting #6: cost 2 inf + 49108 96.156 * * [simplify]: Extracting #7: cost 0 inf + 50752 96.162 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 96.162 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 96.162 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 96.163 * [simplify]: Simplifying (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 96.163 * * [simplify]: iters left: 6 (14 enodes) 96.167 * * [simplify]: iters left: 5 (57 enodes) 96.181 * * [simplify]: iters left: 4 (100 enodes) 96.220 * * [simplify]: iters left: 3 (167 enodes) 96.280 * * [simplify]: iters left: 2 (325 enodes) 96.400 * * [simplify]: Extracting #0: cost 1 inf + 0 96.400 * * [simplify]: Extracting #1: cost 2 inf + 0 96.400 * * [simplify]: Extracting #2: cost 43 inf + 0 96.400 * * [simplify]: Extracting #3: cost 131 inf + 1 96.401 * * [simplify]: Extracting #4: cost 174 inf + 4 96.402 * * [simplify]: Extracting #5: cost 168 inf + 1217 96.404 * * [simplify]: Extracting #6: cost 124 inf + 8332 96.410 * * [simplify]: Extracting #7: cost 44 inf + 49329 96.422 * * [simplify]: Extracting #8: cost 0 inf + 82876 96.435 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) 96.435 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) 96.436 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 96.436 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 96.436 * [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))))) 96.436 * * [simplify]: iters left: 6 (37 enodes) 96.447 * * [simplify]: iters left: 5 (190 enodes) 96.523 * * [simplify]: Extracting #0: cost 1 inf + 0 96.523 * * [simplify]: Extracting #1: cost 22 inf + 0 96.523 * * [simplify]: Extracting #2: cost 108 inf + 1 96.524 * * [simplify]: Extracting #3: cost 171 inf + 46 96.525 * * [simplify]: Extracting #4: cost 189 inf + 427 96.530 * * [simplify]: Extracting #5: cost 128 inf + 16032 96.547 * * [simplify]: Extracting #6: cost 29 inf + 57153 96.569 * * [simplify]: Extracting #7: cost 4 inf + 75884 96.585 * * [simplify]: Extracting #8: cost 0 inf + 78767 96.609 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 96.609 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (/ 1 (sqrt k)))) 96.610 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 96.610 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 96.610 * * [simplify]: iters left: 6 (15 enodes) 96.619 * * [simplify]: iters left: 5 (65 enodes) 96.645 * * [simplify]: iters left: 4 (123 enodes) 96.695 * * [simplify]: iters left: 3 (368 enodes) 96.878 * * [simplify]: Extracting #0: cost 1 inf + 0 96.878 * * [simplify]: Extracting #1: cost 36 inf + 0 96.879 * * [simplify]: Extracting #2: cost 212 inf + 72 96.882 * * [simplify]: Extracting #3: cost 354 inf + 1211 96.890 * * [simplify]: Extracting #4: cost 217 inf + 27594 96.915 * * [simplify]: Extracting #5: cost 38 inf + 75123 96.951 * * [simplify]: Extracting #6: cost 0 inf + 89156 96.984 * * [simplify]: Extracting #7: cost 0 inf + 88700 97.016 * * [simplify]: Extracting #8: cost 0 inf + 88535 97.048 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 97.048 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 97.048 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 97.048 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 97.049 * * [simplify]: iters left: 6 (16 enodes) 97.059 * * [simplify]: iters left: 5 (67 enodes) 97.083 * * [simplify]: iters left: 4 (134 enodes) 97.145 * * [simplify]: iters left: 3 (413 enodes) 97.360 * * [simplify]: Extracting #0: cost 1 inf + 0 97.360 * * [simplify]: Extracting #1: cost 38 inf + 0 97.360 * * [simplify]: Extracting #2: cost 238 inf + 72 97.362 * * [simplify]: Extracting #3: cost 447 inf + 903 97.366 * * [simplify]: Extracting #4: cost 373 inf + 10375 97.377 * * [simplify]: Extracting #5: cost 155 inf + 66841 97.413 * * [simplify]: Extracting #6: cost 13 inf + 117310 97.436 * * [simplify]: Extracting #7: cost 0 inf + 120799 97.482 * * [simplify]: Extracting #8: cost 0 inf + 120798 97.529 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 97.530 * [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)))) 97.530 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 97.530 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 97.530 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 97.530 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 97.531 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 97.531 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 97.531 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 97.531 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 97.531 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 97.531 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 97.532 * [simplify]: Simplifying (* 2 (* n PI)) 97.532 * * [simplify]: iters left: 4 (5 enodes) 97.535 * * [simplify]: iters left: 3 (19 enodes) 97.541 * * [simplify]: iters left: 2 (27 enodes) 97.548 * * [simplify]: iters left: 1 (32 enodes) 97.553 * * [simplify]: Extracting #0: cost 1 inf + 0 97.553 * * [simplify]: Extracting #1: cost 8 inf + 0 97.553 * * [simplify]: Extracting #2: cost 7 inf + 45 97.553 * * [simplify]: Extracting #3: cost 0 inf + 421 97.553 * [simplify]: Simplified to (* (* PI n) 2) 97.553 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 97.553 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 97.553 * [simplify]: Simplifying (* 2 (* n PI)) 97.553 * * [simplify]: iters left: 4 (5 enodes) 97.555 * * [simplify]: iters left: 3 (19 enodes) 97.558 * * [simplify]: iters left: 2 (27 enodes) 97.562 * * [simplify]: iters left: 1 (32 enodes) 97.566 * * [simplify]: Extracting #0: cost 1 inf + 0 97.566 * * [simplify]: Extracting #1: cost 8 inf + 0 97.566 * * [simplify]: Extracting #2: cost 7 inf + 45 97.566 * * [simplify]: Extracting #3: cost 0 inf + 421 97.566 * [simplify]: Simplified to (* (* PI n) 2) 97.566 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 97.566 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 97.566 * [simplify]: Simplifying (* 2 (* n PI)) 97.566 * * [simplify]: iters left: 4 (5 enodes) 97.568 * * [simplify]: iters left: 3 (19 enodes) 97.571 * * [simplify]: iters left: 2 (27 enodes) 97.575 * * [simplify]: iters left: 1 (32 enodes) 97.584 * * [simplify]: Extracting #0: cost 1 inf + 0 97.584 * * [simplify]: Extracting #1: cost 8 inf + 0 97.584 * * [simplify]: Extracting #2: cost 7 inf + 45 97.585 * * [simplify]: Extracting #3: cost 0 inf + 421 97.585 * [simplify]: Simplified to (* (* PI n) 2) 97.585 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 97.585 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 97.586 * [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)))))))))))))))))))))) 97.586 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 97.586 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 97.587 * [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)))))))) 97.587 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 97.587 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 97.587 * [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)))))))))))) 97.587 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 97.588 * * * [progress]: adding candidates to table 100.233 * * [progress]: iteration 3 / 4 100.233 * * * [progress]: picking best candidate 100.266 * * * * [pick]: Picked # 100.266 * * * [progress]: localizing error 100.319 * * * [progress]: generating rewritten candidates 100.319 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 100.347 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 100.361 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 100.400 * * * [progress]: generating series expansions 100.400 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 100.401 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 100.401 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 100.401 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 100.401 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 100.401 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 100.401 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 100.401 * [taylor]: Taking taylor expansion of 1/2 in k 100.401 * [backup-simplify]: Simplify 1/2 into 1/2 100.401 * [taylor]: Taking taylor expansion of (- 1 k) in k 100.401 * [taylor]: Taking taylor expansion of 1 in k 100.401 * [backup-simplify]: Simplify 1 into 1 100.401 * [taylor]: Taking taylor expansion of k in k 100.401 * [backup-simplify]: Simplify 0 into 0 100.401 * [backup-simplify]: Simplify 1 into 1 100.401 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 100.401 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 100.401 * [taylor]: Taking taylor expansion of 2 in k 100.401 * [backup-simplify]: Simplify 2 into 2 100.402 * [taylor]: Taking taylor expansion of (* n PI) in k 100.402 * [taylor]: Taking taylor expansion of n in k 100.402 * [backup-simplify]: Simplify n into n 100.402 * [taylor]: Taking taylor expansion of PI in k 100.402 * [backup-simplify]: Simplify PI into PI 100.402 * [backup-simplify]: Simplify (* n PI) into (* n PI) 100.402 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 100.402 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 100.402 * [backup-simplify]: Simplify (- 0) into 0 100.403 * [backup-simplify]: Simplify (+ 1 0) into 1 100.403 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 100.403 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 100.404 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 100.404 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 100.404 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 100.404 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 100.404 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 100.404 * [taylor]: Taking taylor expansion of 1/2 in n 100.404 * [backup-simplify]: Simplify 1/2 into 1/2 100.404 * [taylor]: Taking taylor expansion of (- 1 k) in n 100.404 * [taylor]: Taking taylor expansion of 1 in n 100.404 * [backup-simplify]: Simplify 1 into 1 100.404 * [taylor]: Taking taylor expansion of k in n 100.404 * [backup-simplify]: Simplify k into k 100.404 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 100.404 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.404 * [taylor]: Taking taylor expansion of 2 in n 100.404 * [backup-simplify]: Simplify 2 into 2 100.404 * [taylor]: Taking taylor expansion of (* n PI) in n 100.404 * [taylor]: Taking taylor expansion of n in n 100.404 * [backup-simplify]: Simplify 0 into 0 100.404 * [backup-simplify]: Simplify 1 into 1 100.404 * [taylor]: Taking taylor expansion of PI in n 100.404 * [backup-simplify]: Simplify PI into PI 100.405 * [backup-simplify]: Simplify (* 0 PI) into 0 100.405 * [backup-simplify]: Simplify (* 2 0) into 0 100.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 100.408 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 100.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.409 * [backup-simplify]: Simplify (- k) into (- k) 100.410 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 100.410 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 100.411 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.412 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 100.412 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 100.412 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 100.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 100.412 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 100.412 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 100.412 * [taylor]: Taking taylor expansion of 1/2 in n 100.412 * [backup-simplify]: Simplify 1/2 into 1/2 100.412 * [taylor]: Taking taylor expansion of (- 1 k) in n 100.412 * [taylor]: Taking taylor expansion of 1 in n 100.412 * [backup-simplify]: Simplify 1 into 1 100.412 * [taylor]: Taking taylor expansion of k in n 100.412 * [backup-simplify]: Simplify k into k 100.412 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 100.412 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.413 * [taylor]: Taking taylor expansion of 2 in n 100.413 * [backup-simplify]: Simplify 2 into 2 100.413 * [taylor]: Taking taylor expansion of (* n PI) in n 100.413 * [taylor]: Taking taylor expansion of n in n 100.413 * [backup-simplify]: Simplify 0 into 0 100.413 * [backup-simplify]: Simplify 1 into 1 100.413 * [taylor]: Taking taylor expansion of PI in n 100.413 * [backup-simplify]: Simplify PI into PI 100.413 * [backup-simplify]: Simplify (* 0 PI) into 0 100.413 * [backup-simplify]: Simplify (* 2 0) into 0 100.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 100.415 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 100.416 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.416 * [backup-simplify]: Simplify (- k) into (- k) 100.416 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 100.416 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 100.417 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.417 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 100.418 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 100.418 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 100.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 100.418 * [taylor]: Taking taylor expansion of 1/2 in k 100.418 * [backup-simplify]: Simplify 1/2 into 1/2 100.418 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 100.418 * [taylor]: Taking taylor expansion of (- 1 k) in k 100.418 * [taylor]: Taking taylor expansion of 1 in k 100.418 * [backup-simplify]: Simplify 1 into 1 100.418 * [taylor]: Taking taylor expansion of k in k 100.418 * [backup-simplify]: Simplify 0 into 0 100.418 * [backup-simplify]: Simplify 1 into 1 100.418 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 100.418 * [taylor]: Taking taylor expansion of (log n) in k 100.418 * [taylor]: Taking taylor expansion of n in k 100.418 * [backup-simplify]: Simplify n into n 100.418 * [backup-simplify]: Simplify (log n) into (log n) 100.418 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 100.418 * [taylor]: Taking taylor expansion of (* 2 PI) in k 100.418 * [taylor]: Taking taylor expansion of 2 in k 100.418 * [backup-simplify]: Simplify 2 into 2 100.418 * [taylor]: Taking taylor expansion of PI in k 100.418 * [backup-simplify]: Simplify PI into PI 100.419 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.419 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.419 * [backup-simplify]: Simplify (- 0) into 0 100.420 * [backup-simplify]: Simplify (+ 1 0) into 1 100.420 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.421 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 100.422 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 100.422 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 100.423 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 100.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 100.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 100.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.425 * [backup-simplify]: Simplify (- 0) into 0 100.426 * [backup-simplify]: Simplify (+ 0 0) into 0 100.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 100.427 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.427 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 100.428 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.429 * [taylor]: Taking taylor expansion of 0 in k 100.429 * [backup-simplify]: Simplify 0 into 0 100.429 * [backup-simplify]: Simplify 0 into 0 100.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 100.430 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 100.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.431 * [backup-simplify]: Simplify (+ 0 0) into 0 100.432 * [backup-simplify]: Simplify (- 1) into -1 100.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.433 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 100.434 * [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))))) 100.436 * [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))))))) 100.439 * [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))))))) 100.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 100.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 100.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.445 * [backup-simplify]: Simplify (- 0) into 0 100.446 * [backup-simplify]: Simplify (+ 0 0) into 0 100.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 100.448 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.450 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.452 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.452 * [taylor]: Taking taylor expansion of 0 in k 100.452 * [backup-simplify]: Simplify 0 into 0 100.452 * [backup-simplify]: Simplify 0 into 0 100.452 * [backup-simplify]: Simplify 0 into 0 100.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 100.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 100.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.459 * [backup-simplify]: Simplify (+ 0 0) into 0 100.459 * [backup-simplify]: Simplify (- 0) into 0 100.460 * [backup-simplify]: Simplify (+ 0 0) into 0 100.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.468 * [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))))) 100.473 * [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))))) 100.482 * [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))))) 100.483 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 100.483 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 100.483 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 100.483 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 100.483 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 100.483 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 100.483 * [taylor]: Taking taylor expansion of 1/2 in k 100.483 * [backup-simplify]: Simplify 1/2 into 1/2 100.483 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 100.483 * [taylor]: Taking taylor expansion of 1 in k 100.483 * [backup-simplify]: Simplify 1 into 1 100.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.483 * [taylor]: Taking taylor expansion of k in k 100.483 * [backup-simplify]: Simplify 0 into 0 100.483 * [backup-simplify]: Simplify 1 into 1 100.484 * [backup-simplify]: Simplify (/ 1 1) into 1 100.484 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 100.484 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 100.484 * [taylor]: Taking taylor expansion of 2 in k 100.484 * [backup-simplify]: Simplify 2 into 2 100.484 * [taylor]: Taking taylor expansion of (/ PI n) in k 100.484 * [taylor]: Taking taylor expansion of PI in k 100.484 * [backup-simplify]: Simplify PI into PI 100.484 * [taylor]: Taking taylor expansion of n in k 100.484 * [backup-simplify]: Simplify n into n 100.484 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 100.484 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 100.484 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 100.485 * [backup-simplify]: Simplify (- 1) into -1 100.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.486 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 100.486 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 100.486 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 100.486 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 100.486 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 100.486 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 100.486 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 100.486 * [taylor]: Taking taylor expansion of 1/2 in n 100.486 * [backup-simplify]: Simplify 1/2 into 1/2 100.486 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 100.486 * [taylor]: Taking taylor expansion of 1 in n 100.486 * [backup-simplify]: Simplify 1 into 1 100.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.486 * [taylor]: Taking taylor expansion of k in n 100.486 * [backup-simplify]: Simplify k into k 100.486 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.486 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 100.486 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.486 * [taylor]: Taking taylor expansion of 2 in n 100.486 * [backup-simplify]: Simplify 2 into 2 100.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.486 * [taylor]: Taking taylor expansion of PI in n 100.486 * [backup-simplify]: Simplify PI into PI 100.487 * [taylor]: Taking taylor expansion of n in n 100.487 * [backup-simplify]: Simplify 0 into 0 100.487 * [backup-simplify]: Simplify 1 into 1 100.487 * [backup-simplify]: Simplify (/ PI 1) into PI 100.487 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.488 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.489 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 100.489 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 100.489 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 100.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.495 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 100.496 * [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))))) 100.496 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 100.496 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 100.496 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 100.496 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 100.496 * [taylor]: Taking taylor expansion of 1/2 in n 100.496 * [backup-simplify]: Simplify 1/2 into 1/2 100.496 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 100.496 * [taylor]: Taking taylor expansion of 1 in n 100.496 * [backup-simplify]: Simplify 1 into 1 100.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.496 * [taylor]: Taking taylor expansion of k in n 100.496 * [backup-simplify]: Simplify k into k 100.496 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.496 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 100.496 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.496 * [taylor]: Taking taylor expansion of 2 in n 100.496 * [backup-simplify]: Simplify 2 into 2 100.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.496 * [taylor]: Taking taylor expansion of PI in n 100.496 * [backup-simplify]: Simplify PI into PI 100.496 * [taylor]: Taking taylor expansion of n in n 100.496 * [backup-simplify]: Simplify 0 into 0 100.496 * [backup-simplify]: Simplify 1 into 1 100.497 * [backup-simplify]: Simplify (/ PI 1) into PI 100.497 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.498 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.498 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 100.498 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 100.498 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 100.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.501 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 100.502 * [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))))) 100.502 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 100.502 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 100.502 * [taylor]: Taking taylor expansion of 1/2 in k 100.502 * [backup-simplify]: Simplify 1/2 into 1/2 100.502 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 100.502 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 100.502 * [taylor]: Taking taylor expansion of 1 in k 100.502 * [backup-simplify]: Simplify 1 into 1 100.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.502 * [taylor]: Taking taylor expansion of k in k 100.502 * [backup-simplify]: Simplify 0 into 0 100.502 * [backup-simplify]: Simplify 1 into 1 100.503 * [backup-simplify]: Simplify (/ 1 1) into 1 100.503 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 100.503 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 100.503 * [taylor]: Taking taylor expansion of (* 2 PI) in k 100.503 * [taylor]: Taking taylor expansion of 2 in k 100.503 * [backup-simplify]: Simplify 2 into 2 100.503 * [taylor]: Taking taylor expansion of PI in k 100.503 * [backup-simplify]: Simplify PI into PI 100.503 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.504 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.504 * [taylor]: Taking taylor expansion of (log n) in k 100.504 * [taylor]: Taking taylor expansion of n in k 100.504 * [backup-simplify]: Simplify n into n 100.504 * [backup-simplify]: Simplify (log n) into (log n) 100.505 * [backup-simplify]: Simplify (- 1) into -1 100.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.505 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 100.506 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 100.507 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 100.508 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 100.510 * [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))))) 100.511 * [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))))) 100.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.512 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 100.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.515 * [backup-simplify]: Simplify (- 0) into 0 100.515 * [backup-simplify]: Simplify (+ 0 0) into 0 100.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 100.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.518 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 100.520 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.520 * [taylor]: Taking taylor expansion of 0 in k 100.520 * [backup-simplify]: Simplify 0 into 0 100.520 * [backup-simplify]: Simplify 0 into 0 100.521 * [backup-simplify]: Simplify 0 into 0 100.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 100.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.527 * [backup-simplify]: Simplify (- 0) into 0 100.527 * [backup-simplify]: Simplify (+ 0 0) into 0 100.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 100.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.532 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 100.534 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.534 * [taylor]: Taking taylor expansion of 0 in k 100.534 * [backup-simplify]: Simplify 0 into 0 100.534 * [backup-simplify]: Simplify 0 into 0 100.534 * [backup-simplify]: Simplify 0 into 0 100.534 * [backup-simplify]: Simplify 0 into 0 100.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.541 * [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 0 100.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.541 * [backup-simplify]: Simplify (- 0) into 0 100.542 * [backup-simplify]: Simplify (+ 0 0) into 0 100.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 100.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.545 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 100.546 * [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 0 100.546 * [taylor]: Taking taylor expansion of 0 in k 100.546 * [backup-simplify]: Simplify 0 into 0 100.546 * [backup-simplify]: Simplify 0 into 0 100.547 * [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)))))) 100.547 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 100.547 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 100.547 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 100.547 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 100.547 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 100.547 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 100.547 * [taylor]: Taking taylor expansion of 1/2 in k 100.547 * [backup-simplify]: Simplify 1/2 into 1/2 100.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 100.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.547 * [taylor]: Taking taylor expansion of k in k 100.547 * [backup-simplify]: Simplify 0 into 0 100.548 * [backup-simplify]: Simplify 1 into 1 100.548 * [backup-simplify]: Simplify (/ 1 1) into 1 100.548 * [taylor]: Taking taylor expansion of 1 in k 100.548 * [backup-simplify]: Simplify 1 into 1 100.548 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 100.548 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 100.548 * [taylor]: Taking taylor expansion of -2 in k 100.548 * [backup-simplify]: Simplify -2 into -2 100.548 * [taylor]: Taking taylor expansion of (/ PI n) in k 100.548 * [taylor]: Taking taylor expansion of PI in k 100.548 * [backup-simplify]: Simplify PI into PI 100.548 * [taylor]: Taking taylor expansion of n in k 100.548 * [backup-simplify]: Simplify n into n 100.548 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 100.548 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 100.548 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 100.548 * [backup-simplify]: Simplify (+ 1 0) into 1 100.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 100.549 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 100.549 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 100.549 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 100.549 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 100.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 100.549 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 100.549 * [taylor]: Taking taylor expansion of 1/2 in n 100.549 * [backup-simplify]: Simplify 1/2 into 1/2 100.549 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 100.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.549 * [taylor]: Taking taylor expansion of k in n 100.549 * [backup-simplify]: Simplify k into k 100.549 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.549 * [taylor]: Taking taylor expansion of 1 in n 100.549 * [backup-simplify]: Simplify 1 into 1 100.549 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 100.549 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.549 * [taylor]: Taking taylor expansion of -2 in n 100.549 * [backup-simplify]: Simplify -2 into -2 100.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.549 * [taylor]: Taking taylor expansion of PI in n 100.549 * [backup-simplify]: Simplify PI into PI 100.549 * [taylor]: Taking taylor expansion of n in n 100.549 * [backup-simplify]: Simplify 0 into 0 100.549 * [backup-simplify]: Simplify 1 into 1 100.550 * [backup-simplify]: Simplify (/ PI 1) into PI 100.550 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.550 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.550 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 100.551 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 100.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.552 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 100.553 * [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))))) 100.553 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 100.553 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 100.553 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 100.553 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 100.553 * [taylor]: Taking taylor expansion of 1/2 in n 100.553 * [backup-simplify]: Simplify 1/2 into 1/2 100.553 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 100.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.553 * [taylor]: Taking taylor expansion of k in n 100.553 * [backup-simplify]: Simplify k into k 100.553 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.553 * [taylor]: Taking taylor expansion of 1 in n 100.553 * [backup-simplify]: Simplify 1 into 1 100.553 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 100.553 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.553 * [taylor]: Taking taylor expansion of -2 in n 100.553 * [backup-simplify]: Simplify -2 into -2 100.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.553 * [taylor]: Taking taylor expansion of PI in n 100.553 * [backup-simplify]: Simplify PI into PI 100.553 * [taylor]: Taking taylor expansion of n in n 100.553 * [backup-simplify]: Simplify 0 into 0 100.553 * [backup-simplify]: Simplify 1 into 1 100.553 * [backup-simplify]: Simplify (/ PI 1) into PI 100.554 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.554 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.554 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 100.554 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 100.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.556 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 100.557 * [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))))) 100.557 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 100.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 100.557 * [taylor]: Taking taylor expansion of 1/2 in k 100.557 * [backup-simplify]: Simplify 1/2 into 1/2 100.557 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 100.557 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 100.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.557 * [taylor]: Taking taylor expansion of k in k 100.557 * [backup-simplify]: Simplify 0 into 0 100.557 * [backup-simplify]: Simplify 1 into 1 100.557 * [backup-simplify]: Simplify (/ 1 1) into 1 100.557 * [taylor]: Taking taylor expansion of 1 in k 100.557 * [backup-simplify]: Simplify 1 into 1 100.557 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 100.557 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 100.557 * [taylor]: Taking taylor expansion of (* -2 PI) in k 100.557 * [taylor]: Taking taylor expansion of -2 in k 100.557 * [backup-simplify]: Simplify -2 into -2 100.557 * [taylor]: Taking taylor expansion of PI in k 100.557 * [backup-simplify]: Simplify PI into PI 100.558 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.558 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.558 * [taylor]: Taking taylor expansion of (log n) in k 100.558 * [taylor]: Taking taylor expansion of n in k 100.558 * [backup-simplify]: Simplify n into n 100.558 * [backup-simplify]: Simplify (log n) into (log n) 100.558 * [backup-simplify]: Simplify (+ 1 0) into 1 100.559 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 100.559 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 100.560 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 100.560 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 100.561 * [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))))) 100.562 * [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))))) 100.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.563 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 100.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 100.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.564 * [backup-simplify]: Simplify (+ 0 0) into 0 100.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 100.565 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.566 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 100.567 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.567 * [taylor]: Taking taylor expansion of 0 in k 100.567 * [backup-simplify]: Simplify 0 into 0 100.567 * [backup-simplify]: Simplify 0 into 0 100.567 * [backup-simplify]: Simplify 0 into 0 100.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.569 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 100.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 100.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.573 * [backup-simplify]: Simplify (+ 0 0) into 0 100.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 100.575 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.577 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 100.579 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.579 * [taylor]: Taking taylor expansion of 0 in k 100.579 * [backup-simplify]: Simplify 0 into 0 100.579 * [backup-simplify]: Simplify 0 into 0 100.579 * [backup-simplify]: Simplify 0 into 0 100.579 * [backup-simplify]: Simplify 0 into 0 100.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.581 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.588 * [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 0 100.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.588 * [backup-simplify]: Simplify (+ 0 0) into 0 100.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 100.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.593 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 100.596 * [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 0 100.596 * [taylor]: Taking taylor expansion of 0 in k 100.596 * [backup-simplify]: Simplify 0 into 0 100.596 * [backup-simplify]: Simplify 0 into 0 100.597 * [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)))))) 100.597 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 100.598 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 100.598 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 100.598 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.598 * [taylor]: Taking taylor expansion of 2 in n 100.598 * [backup-simplify]: Simplify 2 into 2 100.598 * [taylor]: Taking taylor expansion of (* n PI) in n 100.598 * [taylor]: Taking taylor expansion of n in n 100.598 * [backup-simplify]: Simplify 0 into 0 100.598 * [backup-simplify]: Simplify 1 into 1 100.598 * [taylor]: Taking taylor expansion of PI in n 100.598 * [backup-simplify]: Simplify PI into PI 100.598 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.598 * [taylor]: Taking taylor expansion of 2 in n 100.598 * [backup-simplify]: Simplify 2 into 2 100.598 * [taylor]: Taking taylor expansion of (* n PI) in n 100.598 * [taylor]: Taking taylor expansion of n in n 100.598 * [backup-simplify]: Simplify 0 into 0 100.598 * [backup-simplify]: Simplify 1 into 1 100.598 * [taylor]: Taking taylor expansion of PI in n 100.598 * [backup-simplify]: Simplify PI into PI 100.599 * [backup-simplify]: Simplify (* 0 PI) into 0 100.599 * [backup-simplify]: Simplify (* 2 0) into 0 100.599 * [backup-simplify]: Simplify 0 into 0 100.601 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 100.602 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 100.603 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 100.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 100.605 * [backup-simplify]: Simplify 0 into 0 100.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 100.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 100.608 * [backup-simplify]: Simplify 0 into 0 100.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 100.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 100.610 * [backup-simplify]: Simplify 0 into 0 100.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 100.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 100.613 * [backup-simplify]: Simplify 0 into 0 100.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 100.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 100.619 * [backup-simplify]: Simplify 0 into 0 100.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 100.623 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 100.623 * [backup-simplify]: Simplify 0 into 0 100.623 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 100.624 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 100.624 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 100.624 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.624 * [taylor]: Taking taylor expansion of 2 in n 100.624 * [backup-simplify]: Simplify 2 into 2 100.624 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.624 * [taylor]: Taking taylor expansion of PI in n 100.624 * [backup-simplify]: Simplify PI into PI 100.624 * [taylor]: Taking taylor expansion of n in n 100.624 * [backup-simplify]: Simplify 0 into 0 100.624 * [backup-simplify]: Simplify 1 into 1 100.625 * [backup-simplify]: Simplify (/ PI 1) into PI 100.625 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.625 * [taylor]: Taking taylor expansion of 2 in n 100.625 * [backup-simplify]: Simplify 2 into 2 100.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.625 * [taylor]: Taking taylor expansion of PI in n 100.625 * [backup-simplify]: Simplify PI into PI 100.625 * [taylor]: Taking taylor expansion of n in n 100.625 * [backup-simplify]: Simplify 0 into 0 100.625 * [backup-simplify]: Simplify 1 into 1 100.625 * [backup-simplify]: Simplify (/ PI 1) into PI 100.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.628 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 100.628 * [backup-simplify]: Simplify 0 into 0 100.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 100.630 * [backup-simplify]: Simplify 0 into 0 100.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.632 * [backup-simplify]: Simplify 0 into 0 100.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 100.635 * [backup-simplify]: Simplify 0 into 0 100.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 100.637 * [backup-simplify]: Simplify 0 into 0 100.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 100.639 * [backup-simplify]: Simplify 0 into 0 100.640 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 100.640 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 100.640 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 100.640 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.640 * [taylor]: Taking taylor expansion of -2 in n 100.640 * [backup-simplify]: Simplify -2 into -2 100.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.640 * [taylor]: Taking taylor expansion of PI in n 100.640 * [backup-simplify]: Simplify PI into PI 100.640 * [taylor]: Taking taylor expansion of n in n 100.640 * [backup-simplify]: Simplify 0 into 0 100.640 * [backup-simplify]: Simplify 1 into 1 100.641 * [backup-simplify]: Simplify (/ PI 1) into PI 100.641 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.641 * [taylor]: Taking taylor expansion of -2 in n 100.641 * [backup-simplify]: Simplify -2 into -2 100.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.641 * [taylor]: Taking taylor expansion of PI in n 100.641 * [backup-simplify]: Simplify PI into PI 100.641 * [taylor]: Taking taylor expansion of n in n 100.641 * [backup-simplify]: Simplify 0 into 0 100.641 * [backup-simplify]: Simplify 1 into 1 100.641 * [backup-simplify]: Simplify (/ PI 1) into PI 100.642 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.642 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.643 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 100.643 * [backup-simplify]: Simplify 0 into 0 100.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.644 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 100.644 * [backup-simplify]: Simplify 0 into 0 100.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.645 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.645 * [backup-simplify]: Simplify 0 into 0 100.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.647 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 100.647 * [backup-simplify]: Simplify 0 into 0 100.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.648 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 100.648 * [backup-simplify]: Simplify 0 into 0 100.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 100.650 * [backup-simplify]: Simplify 0 into 0 100.650 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 100.650 * * * * [progress]: [ 3 / 3 ] generating series at (2) 100.650 * [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))) 100.651 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 100.651 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 100.651 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 100.651 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 100.651 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 100.651 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 100.651 * [taylor]: Taking taylor expansion of 1/2 in k 100.651 * [backup-simplify]: Simplify 1/2 into 1/2 100.651 * [taylor]: Taking taylor expansion of (- 1 k) in k 100.651 * [taylor]: Taking taylor expansion of 1 in k 100.651 * [backup-simplify]: Simplify 1 into 1 100.651 * [taylor]: Taking taylor expansion of k in k 100.651 * [backup-simplify]: Simplify 0 into 0 100.651 * [backup-simplify]: Simplify 1 into 1 100.651 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 100.651 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 100.651 * [taylor]: Taking taylor expansion of 2 in k 100.651 * [backup-simplify]: Simplify 2 into 2 100.651 * [taylor]: Taking taylor expansion of (* n PI) in k 100.651 * [taylor]: Taking taylor expansion of n in k 100.651 * [backup-simplify]: Simplify n into n 100.651 * [taylor]: Taking taylor expansion of PI in k 100.651 * [backup-simplify]: Simplify PI into PI 100.651 * [backup-simplify]: Simplify (* n PI) into (* n PI) 100.651 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 100.651 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 100.651 * [backup-simplify]: Simplify (- 0) into 0 100.652 * [backup-simplify]: Simplify (+ 1 0) into 1 100.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 100.652 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 100.652 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 100.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 100.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.652 * [taylor]: Taking taylor expansion of k in k 100.652 * [backup-simplify]: Simplify 0 into 0 100.652 * [backup-simplify]: Simplify 1 into 1 100.652 * [backup-simplify]: Simplify (/ 1 1) into 1 100.652 * [backup-simplify]: Simplify (sqrt 0) into 0 100.653 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 100.653 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 100.654 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 100.654 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 100.654 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 100.654 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 100.654 * [taylor]: Taking taylor expansion of 1/2 in n 100.654 * [backup-simplify]: Simplify 1/2 into 1/2 100.654 * [taylor]: Taking taylor expansion of (- 1 k) in n 100.654 * [taylor]: Taking taylor expansion of 1 in n 100.654 * [backup-simplify]: Simplify 1 into 1 100.654 * [taylor]: Taking taylor expansion of k in n 100.654 * [backup-simplify]: Simplify k into k 100.654 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 100.654 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.654 * [taylor]: Taking taylor expansion of 2 in n 100.654 * [backup-simplify]: Simplify 2 into 2 100.654 * [taylor]: Taking taylor expansion of (* n PI) in n 100.654 * [taylor]: Taking taylor expansion of n in n 100.654 * [backup-simplify]: Simplify 0 into 0 100.654 * [backup-simplify]: Simplify 1 into 1 100.654 * [taylor]: Taking taylor expansion of PI in n 100.654 * [backup-simplify]: Simplify PI into PI 100.654 * [backup-simplify]: Simplify (* 0 PI) into 0 100.654 * [backup-simplify]: Simplify (* 2 0) into 0 100.655 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 100.656 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 100.657 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.657 * [backup-simplify]: Simplify (- k) into (- k) 100.657 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 100.657 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 100.658 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.658 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 100.659 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 100.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 100.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.659 * [taylor]: Taking taylor expansion of k in n 100.659 * [backup-simplify]: Simplify k into k 100.659 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.659 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 100.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 100.659 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 100.659 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 100.659 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 100.659 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 100.659 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 100.659 * [taylor]: Taking taylor expansion of 1/2 in n 100.659 * [backup-simplify]: Simplify 1/2 into 1/2 100.659 * [taylor]: Taking taylor expansion of (- 1 k) in n 100.659 * [taylor]: Taking taylor expansion of 1 in n 100.660 * [backup-simplify]: Simplify 1 into 1 100.660 * [taylor]: Taking taylor expansion of k in n 100.660 * [backup-simplify]: Simplify k into k 100.660 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 100.660 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 100.660 * [taylor]: Taking taylor expansion of 2 in n 100.660 * [backup-simplify]: Simplify 2 into 2 100.660 * [taylor]: Taking taylor expansion of (* n PI) in n 100.660 * [taylor]: Taking taylor expansion of n in n 100.660 * [backup-simplify]: Simplify 0 into 0 100.660 * [backup-simplify]: Simplify 1 into 1 100.660 * [taylor]: Taking taylor expansion of PI in n 100.660 * [backup-simplify]: Simplify PI into PI 100.660 * [backup-simplify]: Simplify (* 0 PI) into 0 100.660 * [backup-simplify]: Simplify (* 2 0) into 0 100.661 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 100.662 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 100.663 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.663 * [backup-simplify]: Simplify (- k) into (- k) 100.663 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 100.663 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 100.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.664 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 100.665 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 100.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 100.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.665 * [taylor]: Taking taylor expansion of k in n 100.665 * [backup-simplify]: Simplify k into k 100.665 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.665 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 100.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 100.666 * [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))) 100.666 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 100.666 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 100.666 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 100.666 * [taylor]: Taking taylor expansion of 1/2 in k 100.666 * [backup-simplify]: Simplify 1/2 into 1/2 100.666 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 100.666 * [taylor]: Taking taylor expansion of (- 1 k) in k 100.666 * [taylor]: Taking taylor expansion of 1 in k 100.666 * [backup-simplify]: Simplify 1 into 1 100.666 * [taylor]: Taking taylor expansion of k in k 100.666 * [backup-simplify]: Simplify 0 into 0 100.666 * [backup-simplify]: Simplify 1 into 1 100.666 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 100.666 * [taylor]: Taking taylor expansion of (log n) in k 100.666 * [taylor]: Taking taylor expansion of n in k 100.666 * [backup-simplify]: Simplify n into n 100.666 * [backup-simplify]: Simplify (log n) into (log n) 100.666 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 100.666 * [taylor]: Taking taylor expansion of (* 2 PI) in k 100.666 * [taylor]: Taking taylor expansion of 2 in k 100.666 * [backup-simplify]: Simplify 2 into 2 100.666 * [taylor]: Taking taylor expansion of PI in k 100.666 * [backup-simplify]: Simplify PI into PI 100.667 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.667 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.667 * [backup-simplify]: Simplify (- 0) into 0 100.668 * [backup-simplify]: Simplify (+ 1 0) into 1 100.668 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.669 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 100.669 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 100.670 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 100.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 100.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.670 * [taylor]: Taking taylor expansion of k in k 100.670 * [backup-simplify]: Simplify 0 into 0 100.670 * [backup-simplify]: Simplify 1 into 1 100.670 * [backup-simplify]: Simplify (/ 1 1) into 1 100.671 * [backup-simplify]: Simplify (sqrt 0) into 0 100.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 100.672 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 100.672 * [backup-simplify]: Simplify 0 into 0 100.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 100.673 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 100.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.675 * [backup-simplify]: Simplify (- 0) into 0 100.675 * [backup-simplify]: Simplify (+ 0 0) into 0 100.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 100.677 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 100.679 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.680 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 100.681 * [taylor]: Taking taylor expansion of 0 in k 100.681 * [backup-simplify]: Simplify 0 into 0 100.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 100.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 100.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.684 * [backup-simplify]: Simplify (+ 0 0) into 0 100.685 * [backup-simplify]: Simplify (- 1) into -1 100.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.686 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 100.688 * [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))))) 100.692 * [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))))))) 100.694 * [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))))))) 100.694 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 100.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 100.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 100.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 100.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.699 * [backup-simplify]: Simplify (- 0) into 0 100.699 * [backup-simplify]: Simplify (+ 0 0) into 0 100.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 100.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.701 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.703 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.703 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 100.704 * [taylor]: Taking taylor expansion of 0 in k 100.704 * [backup-simplify]: Simplify 0 into 0 100.704 * [backup-simplify]: Simplify 0 into 0 100.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 100.706 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 100.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 100.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 100.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.710 * [backup-simplify]: Simplify (+ 0 0) into 0 100.710 * [backup-simplify]: Simplify (- 0) into 0 100.710 * [backup-simplify]: Simplify (+ 0 0) into 0 100.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 100.715 * [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))))) 100.722 * [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)))))))) 100.725 * [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)))))))) 100.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 100.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 100.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 100.733 * [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 0 100.734 * [backup-simplify]: Simplify (- 0) into 0 100.734 * [backup-simplify]: Simplify (+ 0 0) into 0 100.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 100.737 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 100.738 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 100.741 * [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 0 100.744 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 100.744 * [taylor]: Taking taylor expansion of 0 in k 100.744 * [backup-simplify]: Simplify 0 into 0 100.744 * [backup-simplify]: Simplify 0 into 0 100.744 * [backup-simplify]: Simplify 0 into 0 100.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 100.751 * [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 0 100.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.757 * [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 0 100.757 * [backup-simplify]: Simplify (+ 0 0) into 0 100.757 * [backup-simplify]: Simplify (- 0) into 0 100.757 * [backup-simplify]: Simplify (+ 0 0) into 0 100.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 100.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 100.764 * [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))))))) 100.774 * [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)))))))))))))) 100.781 * [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)))))))))))))) 100.797 * [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)))))))))))))))))))))) 100.798 * [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)) 100.798 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 100.798 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 100.798 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 100.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 100.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 100.798 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 100.798 * [taylor]: Taking taylor expansion of 1/2 in k 100.798 * [backup-simplify]: Simplify 1/2 into 1/2 100.798 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 100.798 * [taylor]: Taking taylor expansion of 1 in k 100.798 * [backup-simplify]: Simplify 1 into 1 100.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.798 * [taylor]: Taking taylor expansion of k in k 100.798 * [backup-simplify]: Simplify 0 into 0 100.798 * [backup-simplify]: Simplify 1 into 1 100.799 * [backup-simplify]: Simplify (/ 1 1) into 1 100.799 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 100.799 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 100.799 * [taylor]: Taking taylor expansion of 2 in k 100.799 * [backup-simplify]: Simplify 2 into 2 100.799 * [taylor]: Taking taylor expansion of (/ PI n) in k 100.799 * [taylor]: Taking taylor expansion of PI in k 100.799 * [backup-simplify]: Simplify PI into PI 100.799 * [taylor]: Taking taylor expansion of n in k 100.799 * [backup-simplify]: Simplify n into n 100.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 100.799 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 100.799 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 100.800 * [backup-simplify]: Simplify (- 1) into -1 100.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.801 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 100.801 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 100.801 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 100.801 * [taylor]: Taking taylor expansion of (sqrt k) in k 100.801 * [taylor]: Taking taylor expansion of k in k 100.801 * [backup-simplify]: Simplify 0 into 0 100.801 * [backup-simplify]: Simplify 1 into 1 100.801 * [backup-simplify]: Simplify (sqrt 0) into 0 100.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 100.803 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 100.803 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 100.803 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 100.803 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 100.803 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 100.803 * [taylor]: Taking taylor expansion of 1/2 in n 100.803 * [backup-simplify]: Simplify 1/2 into 1/2 100.803 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 100.803 * [taylor]: Taking taylor expansion of 1 in n 100.803 * [backup-simplify]: Simplify 1 into 1 100.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.803 * [taylor]: Taking taylor expansion of k in n 100.803 * [backup-simplify]: Simplify k into k 100.804 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.804 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 100.804 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.804 * [taylor]: Taking taylor expansion of 2 in n 100.804 * [backup-simplify]: Simplify 2 into 2 100.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.804 * [taylor]: Taking taylor expansion of PI in n 100.804 * [backup-simplify]: Simplify PI into PI 100.804 * [taylor]: Taking taylor expansion of n in n 100.804 * [backup-simplify]: Simplify 0 into 0 100.804 * [backup-simplify]: Simplify 1 into 1 100.804 * [backup-simplify]: Simplify (/ PI 1) into PI 100.805 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.806 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 100.806 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 100.806 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 100.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.808 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 100.810 * [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))))) 100.810 * [taylor]: Taking taylor expansion of (sqrt k) in n 100.810 * [taylor]: Taking taylor expansion of k in n 100.810 * [backup-simplify]: Simplify k into k 100.810 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 100.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 100.810 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 100.810 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 100.810 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 100.810 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 100.810 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 100.810 * [taylor]: Taking taylor expansion of 1/2 in n 100.810 * [backup-simplify]: Simplify 1/2 into 1/2 100.810 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 100.810 * [taylor]: Taking taylor expansion of 1 in n 100.810 * [backup-simplify]: Simplify 1 into 1 100.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.810 * [taylor]: Taking taylor expansion of k in n 100.810 * [backup-simplify]: Simplify k into k 100.810 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.810 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 100.810 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 100.810 * [taylor]: Taking taylor expansion of 2 in n 100.810 * [backup-simplify]: Simplify 2 into 2 100.810 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.810 * [taylor]: Taking taylor expansion of PI in n 100.810 * [backup-simplify]: Simplify PI into PI 100.810 * [taylor]: Taking taylor expansion of n in n 100.810 * [backup-simplify]: Simplify 0 into 0 100.810 * [backup-simplify]: Simplify 1 into 1 100.811 * [backup-simplify]: Simplify (/ PI 1) into PI 100.811 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.812 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.813 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 100.813 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 100.813 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 100.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.815 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 100.816 * [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))))) 100.816 * [taylor]: Taking taylor expansion of (sqrt k) in n 100.817 * [taylor]: Taking taylor expansion of k in n 100.817 * [backup-simplify]: Simplify k into k 100.817 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 100.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 100.818 * [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)) 100.818 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 100.818 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 100.818 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 100.818 * [taylor]: Taking taylor expansion of 1/2 in k 100.818 * [backup-simplify]: Simplify 1/2 into 1/2 100.818 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 100.818 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 100.818 * [taylor]: Taking taylor expansion of 1 in k 100.818 * [backup-simplify]: Simplify 1 into 1 100.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.818 * [taylor]: Taking taylor expansion of k in k 100.818 * [backup-simplify]: Simplify 0 into 0 100.818 * [backup-simplify]: Simplify 1 into 1 100.819 * [backup-simplify]: Simplify (/ 1 1) into 1 100.819 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 100.819 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 100.819 * [taylor]: Taking taylor expansion of (* 2 PI) in k 100.819 * [taylor]: Taking taylor expansion of 2 in k 100.819 * [backup-simplify]: Simplify 2 into 2 100.819 * [taylor]: Taking taylor expansion of PI in k 100.819 * [backup-simplify]: Simplify PI into PI 100.819 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 100.820 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 100.820 * [taylor]: Taking taylor expansion of (log n) in k 100.820 * [taylor]: Taking taylor expansion of n in k 100.820 * [backup-simplify]: Simplify n into n 100.821 * [backup-simplify]: Simplify (log n) into (log n) 100.821 * [backup-simplify]: Simplify (- 1) into -1 100.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 100.821 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 100.822 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 100.823 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 100.824 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 100.826 * [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))))) 100.826 * [taylor]: Taking taylor expansion of (sqrt k) in k 100.826 * [taylor]: Taking taylor expansion of k in k 100.826 * [backup-simplify]: Simplify 0 into 0 100.826 * [backup-simplify]: Simplify 1 into 1 100.826 * [backup-simplify]: Simplify (sqrt 0) into 0 100.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 100.831 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 100.831 * [backup-simplify]: Simplify 0 into 0 100.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.833 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 100.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 100.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.836 * [backup-simplify]: Simplify (- 0) into 0 100.836 * [backup-simplify]: Simplify (+ 0 0) into 0 100.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 100.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.839 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 100.841 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.842 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 100.842 * [taylor]: Taking taylor expansion of 0 in k 100.842 * [backup-simplify]: Simplify 0 into 0 100.842 * [backup-simplify]: Simplify 0 into 0 100.844 * [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))))))) 100.845 * [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))))))) 100.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 100.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 100.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 100.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.852 * [backup-simplify]: Simplify (- 0) into 0 100.853 * [backup-simplify]: Simplify (+ 0 0) into 0 100.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 100.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.857 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 100.859 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.861 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 100.861 * [taylor]: Taking taylor expansion of 0 in k 100.861 * [backup-simplify]: Simplify 0 into 0 100.861 * [backup-simplify]: Simplify 0 into 0 100.861 * [backup-simplify]: Simplify 0 into 0 100.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 100.866 * [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))))))) 100.867 * [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))))))) 100.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 100.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.876 * [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 0 100.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.877 * [backup-simplify]: Simplify (- 0) into 0 100.878 * [backup-simplify]: Simplify (+ 0 0) into 0 100.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 100.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 100.882 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 100.885 * [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 0 100.887 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 100.887 * [taylor]: Taking taylor expansion of 0 in k 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.887 * [backup-simplify]: Simplify 0 into 0 100.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 100.893 * [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))))))) 100.894 * [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))))))) 100.898 * [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)))))))) 100.899 * [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)))) 100.899 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 100.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 100.899 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k 100.899 * [taylor]: Taking taylor expansion of (/ k -1) in k 100.899 * [taylor]: Taking taylor expansion of k in k 100.899 * [backup-simplify]: Simplify 0 into 0 100.899 * [backup-simplify]: Simplify 1 into 1 100.899 * [taylor]: Taking taylor expansion of -1 in k 100.899 * [backup-simplify]: Simplify -1 into -1 100.900 * [backup-simplify]: Simplify (/ 1 -1) into -1 100.900 * [backup-simplify]: Simplify (sqrt 0) into 0 100.901 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 100.901 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 100.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 100.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 100.902 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 100.902 * [taylor]: Taking taylor expansion of 1/2 in k 100.902 * [backup-simplify]: Simplify 1/2 into 1/2 100.902 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 100.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.902 * [taylor]: Taking taylor expansion of k in k 100.902 * [backup-simplify]: Simplify 0 into 0 100.902 * [backup-simplify]: Simplify 1 into 1 100.902 * [backup-simplify]: Simplify (/ 1 1) into 1 100.902 * [taylor]: Taking taylor expansion of 1 in k 100.902 * [backup-simplify]: Simplify 1 into 1 100.902 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 100.902 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 100.902 * [taylor]: Taking taylor expansion of -2 in k 100.902 * [backup-simplify]: Simplify -2 into -2 100.902 * [taylor]: Taking taylor expansion of (/ PI n) in k 100.902 * [taylor]: Taking taylor expansion of PI in k 100.902 * [backup-simplify]: Simplify PI into PI 100.902 * [taylor]: Taking taylor expansion of n in k 100.902 * [backup-simplify]: Simplify n into n 100.902 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 100.903 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 100.903 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 100.903 * [backup-simplify]: Simplify (+ 1 0) into 1 100.904 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 100.904 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 100.904 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 100.904 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 100.904 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 100.904 * [taylor]: Taking taylor expansion of (/ k -1) in n 100.904 * [taylor]: Taking taylor expansion of k in n 100.904 * [backup-simplify]: Simplify k into k 100.904 * [taylor]: Taking taylor expansion of -1 in n 100.904 * [backup-simplify]: Simplify -1 into -1 100.904 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 100.904 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 100.905 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 100.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 100.905 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 100.905 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 100.905 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 100.905 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 100.905 * [taylor]: Taking taylor expansion of 1/2 in n 100.905 * [backup-simplify]: Simplify 1/2 into 1/2 100.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 100.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.905 * [taylor]: Taking taylor expansion of k in n 100.906 * [backup-simplify]: Simplify k into k 100.906 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.906 * [taylor]: Taking taylor expansion of 1 in n 100.906 * [backup-simplify]: Simplify 1 into 1 100.906 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 100.906 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.906 * [taylor]: Taking taylor expansion of -2 in n 100.906 * [backup-simplify]: Simplify -2 into -2 100.906 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.906 * [taylor]: Taking taylor expansion of PI in n 100.906 * [backup-simplify]: Simplify PI into PI 100.906 * [taylor]: Taking taylor expansion of n in n 100.906 * [backup-simplify]: Simplify 0 into 0 100.906 * [backup-simplify]: Simplify 1 into 1 100.906 * [backup-simplify]: Simplify (/ PI 1) into PI 100.907 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.908 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.908 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 100.908 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 100.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.911 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 100.912 * [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))))) 100.912 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 100.912 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n 100.912 * [taylor]: Taking taylor expansion of (/ k -1) in n 100.912 * [taylor]: Taking taylor expansion of k in n 100.912 * [backup-simplify]: Simplify k into k 100.912 * [taylor]: Taking taylor expansion of -1 in n 100.912 * [backup-simplify]: Simplify -1 into -1 100.912 * [backup-simplify]: Simplify (/ k -1) into (* -1 k) 100.912 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 100.913 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 100.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 100.913 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 100.913 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 100.914 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 100.914 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 100.914 * [taylor]: Taking taylor expansion of 1/2 in n 100.914 * [backup-simplify]: Simplify 1/2 into 1/2 100.914 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 100.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n 100.914 * [taylor]: Taking taylor expansion of k in n 100.914 * [backup-simplify]: Simplify k into k 100.914 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 100.914 * [taylor]: Taking taylor expansion of 1 in n 100.914 * [backup-simplify]: Simplify 1 into 1 100.914 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 100.914 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 100.914 * [taylor]: Taking taylor expansion of -2 in n 100.914 * [backup-simplify]: Simplify -2 into -2 100.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 100.914 * [taylor]: Taking taylor expansion of PI in n 100.914 * [backup-simplify]: Simplify PI into PI 100.914 * [taylor]: Taking taylor expansion of n in n 100.914 * [backup-simplify]: Simplify 0 into 0 100.914 * [backup-simplify]: Simplify 1 into 1 100.915 * [backup-simplify]: Simplify (/ PI 1) into PI 100.915 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.916 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.916 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 100.916 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 100.918 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.919 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 100.920 * [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))))) 100.921 * [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)))))) 100.921 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) in k 100.921 * [taylor]: Taking taylor expansion of (sqrt (* -1 k)) in k 100.921 * [taylor]: Taking taylor expansion of (* -1 k) in k 100.921 * [taylor]: Taking taylor expansion of -1 in k 100.921 * [backup-simplify]: Simplify -1 into -1 100.921 * [taylor]: Taking taylor expansion of k in k 100.921 * [backup-simplify]: Simplify 0 into 0 100.921 * [backup-simplify]: Simplify 1 into 1 100.922 * [backup-simplify]: Simplify (* -1 0) into 0 100.923 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 100.923 * [backup-simplify]: Simplify (sqrt 0) into 0 100.925 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 100.925 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 100.925 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 100.925 * [taylor]: Taking taylor expansion of 1/2 in k 100.925 * [backup-simplify]: Simplify 1/2 into 1/2 100.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 100.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 100.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 100.925 * [taylor]: Taking taylor expansion of k in k 100.925 * [backup-simplify]: Simplify 0 into 0 100.925 * [backup-simplify]: Simplify 1 into 1 100.926 * [backup-simplify]: Simplify (/ 1 1) into 1 100.926 * [taylor]: Taking taylor expansion of 1 in k 100.926 * [backup-simplify]: Simplify 1 into 1 100.926 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 100.926 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 100.926 * [taylor]: Taking taylor expansion of (* -2 PI) in k 100.926 * [taylor]: Taking taylor expansion of -2 in k 100.926 * [backup-simplify]: Simplify -2 into -2 100.926 * [taylor]: Taking taylor expansion of PI in k 100.926 * [backup-simplify]: Simplify PI into PI 100.927 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 100.928 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 100.928 * [taylor]: Taking taylor expansion of (log n) in k 100.928 * [taylor]: Taking taylor expansion of n in k 100.928 * [backup-simplify]: Simplify n into n 100.928 * [backup-simplify]: Simplify (log n) into (log n) 100.928 * [backup-simplify]: Simplify (+ 1 0) into 1 100.928 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 100.929 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 100.930 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 100.931 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 100.932 * [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))))) 100.933 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into 0 100.933 * [backup-simplify]: Simplify 0 into 0 100.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 100.934 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 100.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 100.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 100.935 * [backup-simplify]: Simplify (+ 0 0) into 0 100.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 100.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.937 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 100.938 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 100.939 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 100.939 * [taylor]: Taking taylor expansion of 0 in k 100.939 * [backup-simplify]: Simplify 0 into 0 100.939 * [backup-simplify]: Simplify 0 into 0 100.940 * [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))))))) 100.940 * [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))))))) 100.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.942 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 100.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 100.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.944 * [backup-simplify]: Simplify (+ 0 0) into 0 100.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 100.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.946 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 100.948 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 100.948 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 100.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* -1 k)))) into 0 100.950 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0 100.950 * [taylor]: Taking taylor expansion of 0 in k 100.950 * [backup-simplify]: Simplify 0 into 0 100.950 * [backup-simplify]: Simplify 0 into 0 100.950 * [backup-simplify]: Simplify 0 into 0 100.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 100.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 100.953 * [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))))))) 100.954 * [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))))))) 100.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 100.956 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 100.961 * [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 0 100.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 100.963 * [backup-simplify]: Simplify (+ 0 0) into 0 100.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 100.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 100.967 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 100.970 * [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 0 100.972 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 100.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 k)))) into 0 100.975 * [backup-simplify]: Simplify (+ (* (sqrt (* -1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0 100.975 * [taylor]: Taking taylor expansion of 0 in k 100.975 * [backup-simplify]: Simplify 0 into 0 100.975 * [backup-simplify]: Simplify 0 into 0 100.975 * [backup-simplify]: Simplify 0 into 0 100.975 * [backup-simplify]: Simplify 0 into 0 100.976 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 100.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 100.983 * [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))))))) 100.984 * [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))))))) 100.989 * [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))))))) 100.989 * * * [progress]: simplifying candidates 100.989 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 100.989 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 100.990 * * [simplify]: iters left: 6 (11 enodes) 100.994 * * [simplify]: iters left: 5 (48 enodes) 101.002 * * [simplify]: iters left: 4 (77 enodes) 101.015 * * [simplify]: iters left: 3 (120 enodes) 101.054 * * [simplify]: iters left: 2 (218 enodes) 101.137 * * [simplify]: iters left: 1 (394 enodes) 101.303 * * [simplify]: Extracting #0: cost 1 inf + 0 101.303 * * [simplify]: Extracting #1: cost 3 inf + 0 101.303 * * [simplify]: Extracting #2: cost 29 inf + 0 101.303 * * [simplify]: Extracting #3: cost 109 inf + 1 101.304 * * [simplify]: Extracting #4: cost 179 inf + 176 101.305 * * [simplify]: Extracting #5: cost 171 inf + 1098 101.307 * * [simplify]: Extracting #6: cost 92 inf + 12160 101.315 * * [simplify]: Extracting #7: cost 26 inf + 47801 101.326 * * [simplify]: Extracting #8: cost 0 inf + 68613 101.346 * * [simplify]: Extracting #9: cost 0 inf + 64998 101.370 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 101.370 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (pow k -1/2))) 101.371 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 101.371 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 101.371 * * [simplify]: iters left: 6 (11 enodes) 101.377 * * [simplify]: iters left: 5 (48 enodes) 101.393 * * [simplify]: iters left: 4 (77 enodes) 101.422 * * [simplify]: iters left: 3 (120 enodes) 101.455 * * [simplify]: iters left: 2 (218 enodes) 101.494 * * [simplify]: iters left: 1 (394 enodes) 101.651 * * [simplify]: Extracting #0: cost 1 inf + 0 101.651 * * [simplify]: Extracting #1: cost 3 inf + 0 101.651 * * [simplify]: Extracting #2: cost 29 inf + 0 101.652 * * [simplify]: Extracting #3: cost 109 inf + 1 101.653 * * [simplify]: Extracting #4: cost 179 inf + 176 101.655 * * [simplify]: Extracting #5: cost 171 inf + 1098 101.660 * * [simplify]: Extracting #6: cost 92 inf + 12200 101.671 * * [simplify]: Extracting #7: cost 26 inf + 47841 101.682 * * [simplify]: Extracting #8: cost 0 inf + 68653 101.697 * * [simplify]: Extracting #9: cost 0 inf + 65038 101.710 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 101.710 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (pow k -1/2))) 101.710 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 101.710 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 101.710 * * [simplify]: iters left: 6 (13 enodes) 101.714 * * [simplify]: iters left: 5 (54 enodes) 101.728 * * [simplify]: iters left: 4 (97 enodes) 101.767 * * [simplify]: iters left: 3 (252 enodes) 101.909 * * [simplify]: Extracting #0: cost 1 inf + 0 101.909 * * [simplify]: Extracting #1: cost 37 inf + 0 101.910 * * [simplify]: Extracting #2: cost 136 inf + 73 101.911 * * [simplify]: Extracting #3: cost 160 inf + 1982 101.919 * * [simplify]: Extracting #4: cost 55 inf + 26873 101.938 * * [simplify]: Extracting #5: cost 5 inf + 40601 101.955 * * [simplify]: Extracting #6: cost 0 inf + 42409 101.971 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 101.971 * [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))) 101.972 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 101.972 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 101.972 * * [simplify]: iters left: 6 (12 enodes) 101.979 * * [simplify]: iters left: 5 (52 enodes) 101.997 * * [simplify]: iters left: 4 (90 enodes) 102.025 * * [simplify]: iters left: 3 (209 enodes) 102.102 * * [simplify]: Extracting #0: cost 1 inf + 0 102.102 * * [simplify]: Extracting #1: cost 33 inf + 0 102.102 * * [simplify]: Extracting #2: cost 117 inf + 73 102.104 * * [simplify]: Extracting #3: cost 141 inf + 1307 102.107 * * [simplify]: Extracting #4: cost 79 inf + 11364 102.115 * * [simplify]: Extracting #5: cost 30 inf + 22914 102.128 * * [simplify]: Extracting #6: cost 0 inf + 32222 102.141 * * [simplify]: Extracting #7: cost 0 inf + 32142 102.154 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 102.154 * [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))) 102.154 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 102.154 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 102.154 * * [simplify]: iters left: 6 (11 enodes) 102.165 * * [simplify]: iters left: 5 (51 enodes) 102.182 * * [simplify]: iters left: 4 (97 enodes) 102.209 * * [simplify]: iters left: 3 (203 enodes) 102.288 * * [simplify]: Extracting #0: cost 1 inf + 0 102.289 * * [simplify]: Extracting #1: cost 35 inf + 0 102.289 * * [simplify]: Extracting #2: cost 119 inf + 2 102.290 * * [simplify]: Extracting #3: cost 150 inf + 702 102.291 * * [simplify]: Extracting #4: cost 96 inf + 7237 102.294 * * [simplify]: Extracting #5: cost 29 inf + 21171 102.300 * * [simplify]: Extracting #6: cost 6 inf + 26771 102.306 * * [simplify]: Extracting #7: cost 0 inf + 28612 102.313 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 102.313 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 102.313 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 102.313 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 102.313 * * [simplify]: iters left: 6 (11 enodes) 102.318 * * [simplify]: iters left: 5 (51 enodes) 102.335 * * [simplify]: iters left: 4 (97 enodes) 102.370 * * [simplify]: iters left: 3 (203 enodes) 102.445 * * [simplify]: Extracting #0: cost 1 inf + 0 102.445 * * [simplify]: Extracting #1: cost 35 inf + 0 102.445 * * [simplify]: Extracting #2: cost 119 inf + 2 102.446 * * [simplify]: Extracting #3: cost 150 inf + 702 102.447 * * [simplify]: Extracting #4: cost 96 inf + 7237 102.451 * * [simplify]: Extracting #5: cost 29 inf + 21171 102.456 * * [simplify]: Extracting #6: cost 6 inf + 26771 102.466 * * [simplify]: Extracting #7: cost 0 inf + 28612 102.482 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 102.482 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (pow k -1/2))) 102.482 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 102.482 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 102.482 * * [simplify]: iters left: 6 (6 enodes) 102.485 * * [simplify]: iters left: 5 (27 enodes) 102.491 * * [simplify]: iters left: 4 (47 enodes) 102.499 * * [simplify]: iters left: 3 (59 enodes) 102.509 * * [simplify]: iters left: 2 (79 enodes) 102.521 * * [simplify]: iters left: 1 (108 enodes) 102.541 * * [simplify]: Extracting #0: cost 1 inf + 0 102.541 * * [simplify]: Extracting #1: cost 10 inf + 0 102.541 * * [simplify]: Extracting #2: cost 19 inf + 3 102.542 * * [simplify]: Extracting #3: cost 15 inf + 131 102.543 * * [simplify]: Extracting #4: cost 1 inf + 1004 102.543 * * [simplify]: Extracting #5: cost 0 inf + 1086 102.543 * [simplify]: Simplified to (* 1/2 (- 1 k)) 102.544 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 102.544 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 102.544 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 102.544 * * [simplify]: iters left: 6 (6 enodes) 102.546 * * [simplify]: iters left: 5 (27 enodes) 102.551 * * [simplify]: iters left: 4 (47 enodes) 102.559 * * [simplify]: iters left: 3 (59 enodes) 102.571 * * [simplify]: iters left: 2 (79 enodes) 102.583 * * [simplify]: iters left: 1 (108 enodes) 102.598 * * [simplify]: Extracting #0: cost 1 inf + 0 102.598 * * [simplify]: Extracting #1: cost 10 inf + 0 102.598 * * [simplify]: Extracting #2: cost 19 inf + 3 102.598 * * [simplify]: Extracting #3: cost 15 inf + 131 102.598 * * [simplify]: Extracting #4: cost 1 inf + 1004 102.599 * * [simplify]: Extracting #5: cost 0 inf + 1086 102.599 * [simplify]: Simplified to (* 1/2 (- 1 k)) 102.599 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 102.599 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 102.599 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 102.600 * * [simplify]: iters left: 6 (6 enodes) 102.602 * * [simplify]: iters left: 5 (27 enodes) 102.608 * * [simplify]: iters left: 4 (47 enodes) 102.624 * * [simplify]: iters left: 3 (59 enodes) 102.642 * * [simplify]: iters left: 2 (79 enodes) 102.663 * * [simplify]: iters left: 1 (108 enodes) 102.677 * * [simplify]: Extracting #0: cost 1 inf + 0 102.677 * * [simplify]: Extracting #1: cost 10 inf + 0 102.677 * * [simplify]: Extracting #2: cost 19 inf + 3 102.677 * * [simplify]: Extracting #3: cost 15 inf + 131 102.678 * * [simplify]: Extracting #4: cost 1 inf + 1004 102.678 * * [simplify]: Extracting #5: cost 0 inf + 1086 102.678 * [simplify]: Simplified to (* 1/2 (- 1 k)) 102.679 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (* n (* 2 PI)) (* 1/2 (- 1 k))) (pow k -1/2))) 102.679 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 102.679 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 102.679 * * [simplify]: iters left: 5 (8 enodes) 102.682 * * [simplify]: iters left: 4 (35 enodes) 102.691 * * [simplify]: iters left: 3 (63 enodes) 102.705 * * [simplify]: iters left: 2 (108 enodes) 102.722 * * [simplify]: iters left: 1 (162 enodes) 102.755 * * [simplify]: Extracting #0: cost 1 inf + 0 102.755 * * [simplify]: Extracting #1: cost 12 inf + 0 102.755 * * [simplify]: Extracting #2: cost 40 inf + 2 102.755 * * [simplify]: Extracting #3: cost 40 inf + 9 102.756 * * [simplify]: Extracting #4: cost 25 inf + 2233 102.758 * * [simplify]: Extracting #5: cost 10 inf + 8991 102.762 * * [simplify]: Extracting #6: cost 0 inf + 14572 102.765 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 102.765 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2))) (pow k -1/2))) 102.766 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 102.766 * * [simplify]: iters left: 5 (8 enodes) 102.770 * * [simplify]: iters left: 4 (31 enodes) 102.780 * * [simplify]: iters left: 3 (51 enodes) 102.797 * * [simplify]: iters left: 2 (85 enodes) 102.826 * * [simplify]: iters left: 1 (152 enodes) 102.868 * * [simplify]: Extracting #0: cost 1 inf + 0 102.868 * * [simplify]: Extracting #1: cost 13 inf + 0 102.868 * * [simplify]: Extracting #2: cost 60 inf + 1 102.868 * * [simplify]: Extracting #3: cost 75 inf + 9 102.869 * * [simplify]: Extracting #4: cost 41 inf + 3220 102.870 * * [simplify]: Extracting #5: cost 16 inf + 10552 102.873 * * [simplify]: Extracting #6: cost 0 inf + 20904 102.876 * * [simplify]: Extracting #7: cost 0 inf + 20373 102.878 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 102.879 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2))) (pow k -1/2))) 102.879 * * * * [progress]: [ 11 / 118 ] simplifiying candidate # 102.879 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 102.879 * * [simplify]: iters left: 6 (12 enodes) 102.883 * * [simplify]: iters left: 5 (51 enodes) 102.893 * * [simplify]: iters left: 4 (79 enodes) 102.905 * * [simplify]: iters left: 3 (118 enodes) 102.924 * * [simplify]: iters left: 2 (199 enodes) 102.970 * * [simplify]: iters left: 1 (354 enodes) 103.123 * * [simplify]: Extracting #0: cost 1 inf + 0 103.123 * * [simplify]: Extracting #1: cost 27 inf + 0 103.123 * * [simplify]: Extracting #2: cost 112 inf + 1 103.124 * * [simplify]: Extracting #3: cost 194 inf + 175 103.125 * * [simplify]: Extracting #4: cost 203 inf + 429 103.126 * * [simplify]: Extracting #5: cost 208 inf + 429 103.127 * * [simplify]: Extracting #6: cost 200 inf + 1412 103.132 * * [simplify]: Extracting #7: cost 93 inf + 27530 103.146 * * [simplify]: Extracting #8: cost 23 inf + 71276 103.184 * * [simplify]: Extracting #9: cost 0 inf + 92839 103.220 * * [simplify]: Extracting #10: cost 0 inf + 91398 103.246 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 103.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow k -1/2))) 103.246 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 103.246 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 103.246 * * [simplify]: iters left: 6 (11 enodes) 103.253 * * [simplify]: iters left: 5 (48 enodes) 103.269 * * [simplify]: iters left: 4 (74 enodes) 103.292 * * [simplify]: iters left: 3 (105 enodes) 103.322 * * [simplify]: iters left: 2 (161 enodes) 103.351 * * [simplify]: iters left: 1 (278 enodes) 103.507 * * [simplify]: Extracting #0: cost 1 inf + 0 103.507 * * [simplify]: Extracting #1: cost 29 inf + 0 103.508 * * [simplify]: Extracting #2: cost 103 inf + 1 103.508 * * [simplify]: Extracting #3: cost 133 inf + 174 103.509 * * [simplify]: Extracting #4: cost 132 inf + 388 103.509 * * [simplify]: Extracting #5: cost 129 inf + 556 103.511 * * [simplify]: Extracting #6: cost 86 inf + 11351 103.516 * * [simplify]: Extracting #7: cost 50 inf + 25422 103.527 * * [simplify]: Extracting #8: cost 1 inf + 70565 103.543 * * [simplify]: Extracting #9: cost 0 inf + 71813 103.571 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 103.571 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow k -1/2))) 103.571 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 103.571 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 103.572 * * [simplify]: iters left: 6 (14 enodes) 103.579 * * [simplify]: iters left: 5 (59 enodes) 103.600 * * [simplify]: iters left: 4 (104 enodes) 103.633 * * [simplify]: iters left: 3 (186 enodes) 103.673 * * [simplify]: iters left: 2 (434 enodes) 103.936 * * [simplify]: Extracting #0: cost 1 inf + 0 103.937 * * [simplify]: Extracting #1: cost 12 inf + 0 103.937 * * [simplify]: Extracting #2: cost 112 inf + 1 103.939 * * [simplify]: Extracting #3: cost 232 inf + 215 103.942 * * [simplify]: Extracting #4: cost 230 inf + 1838 103.949 * * [simplify]: Extracting #5: cost 162 inf + 17856 103.970 * * [simplify]: Extracting #6: cost 33 inf + 62390 104.001 * * [simplify]: Extracting #7: cost 2 inf + 84429 104.022 * * [simplify]: Extracting #8: cost 0 inf + 84580 104.046 * * [simplify]: Extracting #9: cost 0 inf + 84291 104.077 * * [simplify]: Extracting #10: cost 0 inf + 84213 104.094 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 104.094 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow k -1/2))) 104.094 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 104.094 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 104.095 * * [simplify]: iters left: 6 (13 enodes) 104.098 * * [simplify]: iters left: 5 (52 enodes) 104.108 * * [simplify]: iters left: 4 (82 enodes) 104.129 * * [simplify]: iters left: 3 (136 enodes) 104.156 * * [simplify]: iters left: 2 (272 enodes) 104.236 * * [simplify]: Extracting #0: cost 1 inf + 0 104.236 * * [simplify]: Extracting #1: cost 12 inf + 0 104.236 * * [simplify]: Extracting #2: cost 88 inf + 1 104.237 * * [simplify]: Extracting #3: cost 151 inf + 6 104.238 * * [simplify]: Extracting #4: cost 144 inf + 992 104.240 * * [simplify]: Extracting #5: cost 131 inf + 2339 104.247 * * [simplify]: Extracting #6: cost 59 inf + 21693 104.262 * * [simplify]: Extracting #7: cost 9 inf + 46808 104.281 * * [simplify]: Extracting #8: cost 0 inf + 55030 104.300 * * [simplify]: Extracting #9: cost 0 inf + 54610 104.319 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 104.320 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 104.320 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 104.320 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 104.320 * * [simplify]: iters left: 6 (12 enodes) 104.326 * * [simplify]: iters left: 5 (47 enodes) 104.343 * * [simplify]: iters left: 4 (83 enodes) 104.371 * * [simplify]: iters left: 3 (123 enodes) 104.404 * * [simplify]: iters left: 2 (221 enodes) 104.489 * * [simplify]: iters left: 1 (473 enodes) 104.915 * * [simplify]: Extracting #0: cost 1 inf + 0 104.915 * * [simplify]: Extracting #1: cost 34 inf + 0 104.917 * * [simplify]: Extracting #2: cost 135 inf + 1 104.919 * * [simplify]: Extracting #3: cost 212 inf + 136 104.921 * * [simplify]: Extracting #4: cost 213 inf + 431 104.923 * * [simplify]: Extracting #5: cost 211 inf + 515 104.930 * * [simplify]: Extracting #6: cost 142 inf + 14322 104.948 * * [simplify]: Extracting #7: cost 51 inf + 52633 104.979 * * [simplify]: Extracting #8: cost 11 inf + 89338 105.017 * * [simplify]: Extracting #9: cost 0 inf + 103865 105.054 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 105.054 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2)) (pow k -1/2))) 105.054 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 105.054 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 105.055 * * [simplify]: iters left: 6 (13 enodes) 105.062 * * [simplify]: iters left: 5 (52 enodes) 105.082 * * [simplify]: iters left: 4 (80 enodes) 105.096 * * [simplify]: iters left: 3 (128 enodes) 105.118 * * [simplify]: iters left: 2 (246 enodes) 105.196 * * [simplify]: iters left: 1 (489 enodes) 105.587 * * [simplify]: Extracting #0: cost 1 inf + 0 105.587 * * [simplify]: Extracting #1: cost 30 inf + 0 105.588 * * [simplify]: Extracting #2: cost 204 inf + 1 105.591 * * [simplify]: Extracting #3: cost 422 inf + 743 105.597 * * [simplify]: Extracting #4: cost 379 inf + 9404 105.603 * * [simplify]: Extracting #5: cost 350 inf + 14022 105.614 * * [simplify]: Extracting #6: cost 172 inf + 57888 105.647 * * [simplify]: Extracting #7: cost 16 inf + 135359 105.697 * * [simplify]: Extracting #8: cost 0 inf + 150451 105.744 * * [simplify]: Extracting #9: cost 0 inf + 149971 105.782 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 105.782 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow k -1/2))) 105.782 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 105.782 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 105.782 * * [simplify]: iters left: 6 (12 enodes) 105.786 * * [simplify]: iters left: 5 (47 enodes) 105.794 * * [simplify]: iters left: 4 (71 enodes) 105.807 * * [simplify]: iters left: 3 (109 enodes) 105.839 * * [simplify]: iters left: 2 (192 enodes) 105.909 * * [simplify]: iters left: 1 (357 enodes) 106.134 * * [simplify]: Extracting #0: cost 1 inf + 0 106.135 * * [simplify]: Extracting #1: cost 29 inf + 0 106.135 * * [simplify]: Extracting #2: cost 135 inf + 1 106.137 * * [simplify]: Extracting #3: cost 251 inf + 255 106.140 * * [simplify]: Extracting #4: cost 225 inf + 3400 106.143 * * [simplify]: Extracting #5: cost 205 inf + 5445 106.153 * * [simplify]: Extracting #6: cost 122 inf + 23316 106.172 * * [simplify]: Extracting #7: cost 43 inf + 53612 106.188 * * [simplify]: Extracting #8: cost 2 inf + 92427 106.214 * * [simplify]: Extracting #9: cost 0 inf + 94805 106.247 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 106.248 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow k -1/2))) 106.248 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 106.248 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 106.248 * * [simplify]: iters left: 6 (11 enodes) 106.254 * * [simplify]: iters left: 5 (42 enodes) 106.266 * * [simplify]: iters left: 4 (64 enodes) 106.277 * * [simplify]: iters left: 3 (98 enodes) 106.292 * * [simplify]: iters left: 2 (156 enodes) 106.337 * * [simplify]: iters left: 1 (280 enodes) 106.444 * * [simplify]: Extracting #0: cost 1 inf + 0 106.444 * * [simplify]: Extracting #1: cost 30 inf + 0 106.444 * * [simplify]: Extracting #2: cost 110 inf + 1 106.445 * * [simplify]: Extracting #3: cost 133 inf + 133 106.445 * * [simplify]: Extracting #4: cost 128 inf + 429 106.446 * * [simplify]: Extracting #5: cost 118 inf + 1666 106.451 * * [simplify]: Extracting #6: cost 62 inf + 21931 106.469 * * [simplify]: Extracting #7: cost 7 inf + 67089 106.489 * * [simplify]: Extracting #8: cost 0 inf + 70630 106.503 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 106.503 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2)) (pow k -1/2))) 106.503 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 106.504 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 106.504 * * [simplify]: iters left: 6 (10 enodes) 106.509 * * [simplify]: iters left: 5 (41 enodes) 106.517 * * [simplify]: iters left: 4 (66 enodes) 106.531 * * [simplify]: iters left: 3 (116 enodes) 106.574 * * [simplify]: iters left: 2 (219 enodes) 106.678 * * [simplify]: iters left: 1 (499 enodes) 107.016 * * [simplify]: Extracting #0: cost 1 inf + 0 107.017 * * [simplify]: Extracting #1: cost 35 inf + 0 107.017 * * [simplify]: Extracting #2: cost 129 inf + 1 107.018 * * [simplify]: Extracting #3: cost 198 inf + 827 107.021 * * [simplify]: Extracting #4: cost 122 inf + 18089 107.032 * * [simplify]: Extracting #5: cost 25 inf + 62444 107.048 * * [simplify]: Extracting #6: cost 0 inf + 84055 107.064 * * [simplify]: Extracting #7: cost 0 inf + 83884 107.081 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 107.081 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 107.081 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 107.081 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 107.081 * * [simplify]: iters left: 5 (9 enodes) 107.084 * * [simplify]: iters left: 4 (36 enodes) 107.094 * * [simplify]: iters left: 3 (57 enodes) 107.104 * * [simplify]: iters left: 2 (96 enodes) 107.121 * * [simplify]: iters left: 1 (171 enodes) 107.193 * * [simplify]: Extracting #0: cost 1 inf + 0 107.193 * * [simplify]: Extracting #1: cost 12 inf + 0 107.193 * * [simplify]: Extracting #2: cost 50 inf + 1 107.194 * * [simplify]: Extracting #3: cost 73 inf + 6 107.197 * * [simplify]: Extracting #4: cost 58 inf + 1463 107.200 * * [simplify]: Extracting #5: cost 24 inf + 7936 107.205 * * [simplify]: Extracting #6: cost 2 inf + 20820 107.212 * * [simplify]: Extracting #7: cost 0 inf + 22437 107.219 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 107.219 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 107.219 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 107.220 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 107.220 * * [simplify]: iters left: 5 (8 enodes) 107.226 * * [simplify]: iters left: 4 (34 enodes) 107.241 * * [simplify]: iters left: 3 (64 enodes) 107.264 * * [simplify]: iters left: 2 (105 enodes) 107.299 * * [simplify]: iters left: 1 (177 enodes) 107.359 * * [simplify]: Extracting #0: cost 1 inf + 0 107.359 * * [simplify]: Extracting #1: cost 17 inf + 0 107.359 * * [simplify]: Extracting #2: cost 34 inf + 46 107.360 * * [simplify]: Extracting #3: cost 26 inf + 466 107.360 * * [simplify]: Extracting #4: cost 11 inf + 6543 107.362 * * [simplify]: Extracting #5: cost 1 inf + 10885 107.363 * * [simplify]: Extracting #6: cost 0 inf + 11179 107.365 * [simplify]: Simplified to (* (* PI 2) n) 107.365 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 107.365 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 107.365 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 107.365 * * [simplify]: iters left: 6 (14 enodes) 107.370 * * [simplify]: iters left: 5 (54 enodes) 107.378 * * [simplify]: iters left: 4 (79 enodes) 107.398 * * [simplify]: iters left: 3 (128 enodes) 107.429 * * [simplify]: iters left: 2 (254 enodes) 107.491 * * [simplify]: Extracting #0: cost 1 inf + 0 107.491 * * [simplify]: Extracting #1: cost 12 inf + 0 107.491 * * [simplify]: Extracting #2: cost 77 inf + 1 107.492 * * [simplify]: Extracting #3: cost 138 inf + 6 107.494 * * [simplify]: Extracting #4: cost 120 inf + 2850 107.496 * * [simplify]: Extracting #5: cost 100 inf + 5521 107.501 * * [simplify]: Extracting #6: cost 51 inf + 18163 107.512 * * [simplify]: Extracting #7: cost 10 inf + 40091 107.531 * * [simplify]: Extracting #8: cost 1 inf + 48527 107.547 * * [simplify]: Extracting #9: cost 0 inf + 49395 107.562 * * [simplify]: Extracting #10: cost 0 inf + 49355 107.578 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 107.578 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (pow k -1/2))) 107.579 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 107.579 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 107.579 * * [simplify]: iters left: 6 (13 enodes) 107.587 * * [simplify]: iters left: 5 (49 enodes) 107.603 * * [simplify]: iters left: 4 (70 enodes) 107.620 * * [simplify]: iters left: 3 (109 enodes) 107.640 * * [simplify]: iters left: 2 (197 enodes) 107.712 * * [simplify]: iters left: 1 (359 enodes) 107.886 * * [simplify]: Extracting #0: cost 1 inf + 0 107.886 * * [simplify]: Extracting #1: cost 28 inf + 0 107.886 * * [simplify]: Extracting #2: cost 147 inf + 1 107.887 * * [simplify]: Extracting #3: cost 239 inf + 301 107.889 * * [simplify]: Extracting #4: cost 242 inf + 553 107.890 * * [simplify]: Extracting #5: cost 200 inf + 5395 107.895 * * [simplify]: Extracting #6: cost 113 inf + 24066 107.907 * * [simplify]: Extracting #7: cost 27 inf + 67703 107.935 * * [simplify]: Extracting #8: cost 2 inf + 91941 107.955 * * [simplify]: Extracting #9: cost 0 inf + 93353 107.988 * * [simplify]: Extracting #10: cost 0 inf + 92703 108.007 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 108.007 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (pow k -1/2))) 108.007 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 108.007 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 108.007 * * [simplify]: iters left: 6 (12 enodes) 108.012 * * [simplify]: iters left: 5 (44 enodes) 108.019 * * [simplify]: iters left: 4 (63 enodes) 108.040 * * [simplify]: iters left: 3 (96 enodes) 108.073 * * [simplify]: iters left: 2 (161 enodes) 108.130 * * [simplify]: iters left: 1 (290 enodes) 108.221 * * [simplify]: Extracting #0: cost 1 inf + 0 108.221 * * [simplify]: Extracting #1: cost 27 inf + 0 108.221 * * [simplify]: Extracting #2: cost 96 inf + 1 108.222 * * [simplify]: Extracting #3: cost 132 inf + 215 108.222 * * [simplify]: Extracting #4: cost 124 inf + 609 108.224 * * [simplify]: Extracting #5: cost 77 inf + 11236 108.229 * * [simplify]: Extracting #6: cost 27 inf + 36948 108.247 * * [simplify]: Extracting #7: cost 3 inf + 60599 108.256 * * [simplify]: Extracting #8: cost 0 inf + 62560 108.266 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 108.266 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2)) (pow k -1/2))) 108.266 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 108.267 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 108.267 * * [simplify]: iters left: 6 (13 enodes) 108.271 * * [simplify]: iters left: 5 (51 enodes) 108.279 * * [simplify]: iters left: 4 (76 enodes) 108.305 * * [simplify]: iters left: 3 (124 enodes) 108.349 * * [simplify]: iters left: 2 (250 enodes) 108.454 * * [simplify]: Extracting #0: cost 1 inf + 0 108.454 * * [simplify]: Extracting #1: cost 13 inf + 0 108.454 * * [simplify]: Extracting #2: cost 76 inf + 1 108.455 * * [simplify]: Extracting #3: cost 135 inf + 209 108.456 * * [simplify]: Extracting #4: cost 115 inf + 3416 108.459 * * [simplify]: Extracting #5: cost 97 inf + 6088 108.464 * * [simplify]: Extracting #6: cost 51 inf + 17292 108.475 * * [simplify]: Extracting #7: cost 10 inf + 38414 108.486 * * [simplify]: Extracting #8: cost 0 inf + 47532 108.504 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 108.504 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow k -1/2))) 108.505 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 108.505 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 108.505 * * [simplify]: iters left: 6 (12 enodes) 108.512 * * [simplify]: iters left: 5 (46 enodes) 108.523 * * [simplify]: iters left: 4 (67 enodes) 108.535 * * [simplify]: iters left: 3 (106 enodes) 108.560 * * [simplify]: iters left: 2 (197 enodes) 108.614 * * [simplify]: iters left: 1 (361 enodes) 108.780 * * [simplify]: Extracting #0: cost 1 inf + 0 108.780 * * [simplify]: Extracting #1: cost 30 inf + 0 108.781 * * [simplify]: Extracting #2: cost 143 inf + 1 108.782 * * [simplify]: Extracting #3: cost 241 inf + 217 108.783 * * [simplify]: Extracting #4: cost 235 inf + 1328 108.787 * * [simplify]: Extracting #5: cost 200 inf + 5397 108.797 * * [simplify]: Extracting #6: cost 106 inf + 27712 108.822 * * [simplify]: Extracting #7: cost 21 inf + 75125 108.844 * * [simplify]: Extracting #8: cost 0 inf + 91395 108.894 * * [simplify]: Extracting #9: cost 0 inf + 87671 108.945 * * [simplify]: Extracting #10: cost 0 inf + 87151 108.996 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 108.996 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow k -1/2))) 108.997 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 108.997 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 108.997 * * [simplify]: iters left: 6 (11 enodes) 109.003 * * [simplify]: iters left: 5 (41 enodes) 109.016 * * [simplify]: iters left: 4 (60 enodes) 109.037 * * [simplify]: iters left: 3 (94 enodes) 109.070 * * [simplify]: iters left: 2 (156 enodes) 109.125 * * [simplify]: iters left: 1 (287 enodes) 109.227 * * [simplify]: Extracting #0: cost 1 inf + 0 109.227 * * [simplify]: Extracting #1: cost 29 inf + 0 109.228 * * [simplify]: Extracting #2: cost 102 inf + 1 109.229 * * [simplify]: Extracting #3: cost 133 inf + 216 109.230 * * [simplify]: Extracting #4: cost 129 inf + 347 109.231 * * [simplify]: Extracting #5: cost 123 inf + 718 109.235 * * [simplify]: Extracting #6: cost 69 inf + 14066 109.250 * * [simplify]: Extracting #7: cost 11 inf + 54785 109.260 * * [simplify]: Extracting #8: cost 0 inf + 65444 109.270 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 109.270 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2)) (pow k -1/2))) 109.270 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 109.270 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 109.270 * * [simplify]: iters left: 6 (10 enodes) 109.274 * * [simplify]: iters left: 5 (41 enodes) 109.280 * * [simplify]: iters left: 4 (66 enodes) 109.292 * * [simplify]: iters left: 3 (116 enodes) 109.327 * * [simplify]: iters left: 2 (219 enodes) 109.438 * * [simplify]: iters left: 1 (499 enodes) 109.896 * * [simplify]: Extracting #0: cost 1 inf + 0 109.896 * * [simplify]: Extracting #1: cost 35 inf + 0 109.897 * * [simplify]: Extracting #2: cost 129 inf + 1 109.899 * * [simplify]: Extracting #3: cost 198 inf + 827 109.906 * * [simplify]: Extracting #4: cost 122 inf + 18089 109.927 * * [simplify]: Extracting #5: cost 25 inf + 62444 109.958 * * [simplify]: Extracting #6: cost 0 inf + 84055 109.979 * * [simplify]: Extracting #7: cost 0 inf + 83884 109.996 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 109.997 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow k -1/2))) 109.997 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 109.997 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 109.997 * * [simplify]: iters left: 5 (9 enodes) 110.003 * * [simplify]: iters left: 4 (36 enodes) 110.015 * * [simplify]: iters left: 3 (57 enodes) 110.030 * * [simplify]: iters left: 2 (96 enodes) 110.048 * * [simplify]: iters left: 1 (171 enodes) 110.102 * * [simplify]: Extracting #0: cost 1 inf + 0 110.103 * * [simplify]: Extracting #1: cost 12 inf + 0 110.103 * * [simplify]: Extracting #2: cost 50 inf + 1 110.103 * * [simplify]: Extracting #3: cost 73 inf + 6 110.103 * * [simplify]: Extracting #4: cost 58 inf + 1463 110.105 * * [simplify]: Extracting #5: cost 24 inf + 7936 110.108 * * [simplify]: Extracting #6: cost 2 inf + 20820 110.111 * * [simplify]: Extracting #7: cost 0 inf + 22437 110.115 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 110.115 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow k -1/2))) 110.115 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 110.115 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 110.115 * * [simplify]: iters left: 5 (8 enodes) 110.118 * * [simplify]: iters left: 4 (34 enodes) 110.132 * * [simplify]: iters left: 3 (64 enodes) 110.155 * * [simplify]: iters left: 2 (105 enodes) 110.177 * * [simplify]: iters left: 1 (177 enodes) 110.229 * * [simplify]: Extracting #0: cost 1 inf + 0 110.229 * * [simplify]: Extracting #1: cost 17 inf + 0 110.230 * * [simplify]: Extracting #2: cost 34 inf + 46 110.230 * * [simplify]: Extracting #3: cost 26 inf + 466 110.230 * * [simplify]: Extracting #4: cost 11 inf + 6543 110.232 * * [simplify]: Extracting #5: cost 1 inf + 10885 110.233 * * [simplify]: Extracting #6: cost 0 inf + 11179 110.234 * [simplify]: Simplified to (* (* PI 2) n) 110.235 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 110.235 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 110.235 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 110.235 * * [simplify]: iters left: 5 (7 enodes) 110.237 * * [simplify]: iters left: 4 (30 enodes) 110.244 * * [simplify]: iters left: 3 (58 enodes) 110.259 * * [simplify]: iters left: 2 (99 enodes) 110.289 * * [simplify]: iters left: 1 (171 enodes) 110.331 * * [simplify]: Extracting #0: cost 1 inf + 0 110.331 * * [simplify]: Extracting #1: cost 18 inf + 0 110.331 * * [simplify]: Extracting #2: cost 35 inf + 46 110.331 * * [simplify]: Extracting #3: cost 25 inf + 1347 110.332 * * [simplify]: Extracting #4: cost 14 inf + 5442 110.333 * * [simplify]: Extracting #5: cost 7 inf + 7909 110.335 * * [simplify]: Extracting #6: cost 0 inf + 11764 110.336 * [simplify]: Simplified to (* (* PI 2) n) 110.336 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 110.336 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 110.337 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 110.337 * * [simplify]: iters left: 5 (9 enodes) 110.339 * * [simplify]: iters left: 4 (38 enodes) 110.346 * * [simplify]: iters left: 3 (64 enodes) 110.356 * * [simplify]: iters left: 2 (102 enodes) 110.376 * * [simplify]: iters left: 1 (175 enodes) 110.408 * * [simplify]: Extracting #0: cost 1 inf + 0 110.408 * * [simplify]: Extracting #1: cost 13 inf + 0 110.408 * * [simplify]: Extracting #2: cost 59 inf + 1 110.408 * * [simplify]: Extracting #3: cost 82 inf + 132 110.409 * * [simplify]: Extracting #4: cost 42 inf + 5349 110.412 * * [simplify]: Extracting #5: cost 14 inf + 14425 110.419 * * [simplify]: Extracting #6: cost 0 inf + 23442 110.425 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 110.425 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2)) (pow k -1/2))) 110.426 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 110.426 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 110.426 * * [simplify]: iters left: 5 (7 enodes) 110.431 * * [simplify]: iters left: 4 (32 enodes) 110.443 * * [simplify]: iters left: 3 (57 enodes) 110.465 * * [simplify]: iters left: 2 (90 enodes) 110.487 * * [simplify]: iters left: 1 (170 enodes) 110.533 * * [simplify]: Extracting #0: cost 1 inf + 0 110.533 * * [simplify]: Extracting #1: cost 13 inf + 0 110.534 * * [simplify]: Extracting #2: cost 55 inf + 2 110.534 * * [simplify]: Extracting #3: cost 88 inf + 6 110.535 * * [simplify]: Extracting #4: cost 77 inf + 1344 110.539 * * [simplify]: Extracting #5: cost 20 inf + 14540 110.542 * * [simplify]: Extracting #6: cost 1 inf + 21921 110.546 * * [simplify]: Extracting #7: cost 0 inf + 21176 110.550 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 110.550 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 110.551 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 110.551 * * [simplify]: iters left: 5 (8 enodes) 110.554 * * [simplify]: iters left: 4 (36 enodes) 110.563 * * [simplify]: iters left: 3 (57 enodes) 110.573 * * [simplify]: iters left: 2 (92 enodes) 110.593 * * [simplify]: iters left: 1 (188 enodes) 110.663 * * [simplify]: Extracting #0: cost 1 inf + 0 110.663 * * [simplify]: Extracting #1: cost 13 inf + 0 110.664 * * [simplify]: Extracting #2: cost 58 inf + 1 110.664 * * [simplify]: Extracting #3: cost 91 inf + 6 110.665 * * [simplify]: Extracting #4: cost 87 inf + 1138 110.668 * * [simplify]: Extracting #5: cost 35 inf + 9706 110.676 * * [simplify]: Extracting #6: cost 17 inf + 12930 110.682 * * [simplify]: Extracting #7: cost 0 inf + 24388 110.690 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 110.690 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow k -1/2))) 110.690 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 110.690 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 110.690 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 110.691 * * [simplify]: iters left: 6 (11 enodes) 110.697 * * [simplify]: iters left: 5 (50 enodes) 110.714 * * [simplify]: iters left: 4 (97 enodes) 110.731 * * [simplify]: iters left: 3 (196 enodes) 110.788 * * [simplify]: Extracting #0: cost 1 inf + 0 110.788 * * [simplify]: Extracting #1: cost 49 inf + 0 110.788 * * [simplify]: Extracting #2: cost 135 inf + 1 110.789 * * [simplify]: Extracting #3: cost 177 inf + 639 110.790 * * [simplify]: Extracting #4: cost 133 inf + 7119 110.795 * * [simplify]: Extracting #5: cost 24 inf + 30350 110.801 * * [simplify]: Extracting #6: cost 0 inf + 37308 110.807 * * [simplify]: Extracting #7: cost 0 inf + 37228 110.817 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 110.817 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) (pow k -1/2))) 110.817 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 110.817 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 110.817 * * [simplify]: iters left: 6 (11 enodes) 110.824 * * [simplify]: iters left: 5 (48 enodes) 110.838 * * [simplify]: iters left: 4 (79 enodes) 110.851 * * [simplify]: iters left: 3 (127 enodes) 110.887 * * [simplify]: iters left: 2 (246 enodes) 110.975 * * [simplify]: iters left: 1 (492 enodes) 111.172 * * [simplify]: Extracting #0: cost 1 inf + 0 111.172 * * [simplify]: Extracting #1: cost 26 inf + 0 111.173 * * [simplify]: Extracting #2: cost 138 inf + 0 111.175 * * [simplify]: Extracting #3: cost 275 inf + 4 111.177 * * [simplify]: Extracting #4: cost 297 inf + 182 111.180 * * [simplify]: Extracting #5: cost 276 inf + 2211 111.187 * * [simplify]: Extracting #6: cost 200 inf + 16237 111.217 * * [simplify]: Extracting #7: cost 72 inf + 103508 111.258 * * [simplify]: Extracting #8: cost 6 inf + 151479 111.302 * * [simplify]: Extracting #9: cost 0 inf + 152994 111.346 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 111.346 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (pow k -1/2))) 111.346 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 111.347 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 111.347 * * [simplify]: iters left: 6 (12 enodes) 111.353 * * [simplify]: iters left: 5 (51 enodes) 111.361 * * [simplify]: iters left: 4 (84 enodes) 111.377 * * [simplify]: iters left: 3 (127 enodes) 111.418 * * [simplify]: iters left: 2 (212 enodes) 111.490 * * [simplify]: iters left: 1 (389 enodes) 111.668 * * [simplify]: Extracting #0: cost 1 inf + 0 111.668 * * [simplify]: Extracting #1: cost 3 inf + 0 111.668 * * [simplify]: Extracting #2: cost 5 inf + 0 111.668 * * [simplify]: Extracting #3: cost 34 inf + 0 111.669 * * [simplify]: Extracting #4: cost 116 inf + 1 111.669 * * [simplify]: Extracting #5: cost 167 inf + 176 111.670 * * [simplify]: Extracting #6: cost 165 inf + 726 111.672 * * [simplify]: Extracting #7: cost 91 inf + 13517 111.682 * * [simplify]: Extracting #8: cost 25 inf + 46336 111.701 * * [simplify]: Extracting #9: cost 0 inf + 68280 111.712 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 111.712 * [simplify]: Simplified (2 1 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))) 111.712 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 111.712 * * [simplify]: iters left: 6 (11 enodes) 111.716 * * [simplify]: iters left: 5 (48 enodes) 111.723 * * [simplify]: iters left: 4 (77 enodes) 111.736 * * [simplify]: iters left: 3 (120 enodes) 111.766 * * [simplify]: iters left: 2 (218 enodes) 111.824 * * [simplify]: iters left: 1 (394 enodes) 111.989 * * [simplify]: Extracting #0: cost 1 inf + 0 111.989 * * [simplify]: Extracting #1: cost 3 inf + 0 111.989 * * [simplify]: Extracting #2: cost 29 inf + 0 111.989 * * [simplify]: Extracting #3: cost 109 inf + 1 111.990 * * [simplify]: Extracting #4: cost 179 inf + 176 111.991 * * [simplify]: Extracting #5: cost 171 inf + 1098 111.993 * * [simplify]: Extracting #6: cost 92 inf + 12180 112.007 * * [simplify]: Extracting #7: cost 26 inf + 47821 112.024 * * [simplify]: Extracting #8: cost 0 inf + 68633 112.036 * * [simplify]: Extracting #9: cost 0 inf + 65018 112.051 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 112.051 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (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))))) (pow k -1/2))) 112.051 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 112.052 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 112.052 * * [simplify]: iters left: 6 (12 enodes) 112.059 * * [simplify]: iters left: 5 (54 enodes) 112.079 * * [simplify]: iters left: 4 (107 enodes) 112.127 * * [simplify]: iters left: 3 (222 enodes) 112.220 * * [simplify]: iters left: 2 (475 enodes) 112.528 * * [simplify]: Extracting #0: cost 1 inf + 0 112.528 * * [simplify]: Extracting #1: cost 47 inf + 0 112.529 * * [simplify]: Extracting #2: cost 142 inf + 3 112.531 * * [simplify]: Extracting #3: cost 194 inf + 5 112.533 * * [simplify]: Extracting #4: cost 194 inf + 1683 112.538 * * [simplify]: Extracting #5: cost 137 inf + 12622 112.552 * * [simplify]: Extracting #6: cost 45 inf + 79968 112.570 * * [simplify]: Extracting #7: cost 0 inf + 123726 112.607 * * [simplify]: Extracting #8: cost 0 inf + 120622 112.645 * * [simplify]: Extracting #9: cost 0 inf + 120571 112.675 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 112.675 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3)) (pow k -1/2))) 112.675 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 112.676 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 112.676 * * [simplify]: iters left: 6 (11 enodes) 112.679 * * [simplify]: iters left: 5 (48 enodes) 112.687 * * [simplify]: iters left: 4 (78 enodes) 112.700 * * [simplify]: iters left: 3 (122 enodes) 112.726 * * [simplify]: iters left: 2 (223 enodes) 112.792 * * [simplify]: iters left: 1 (410 enodes) 112.972 * * [simplify]: Extracting #0: cost 1 inf + 0 112.972 * * [simplify]: Extracting #1: cost 4 inf + 0 112.972 * * [simplify]: Extracting #2: cost 34 inf + 0 112.973 * * [simplify]: Extracting #3: cost 129 inf + 1 112.974 * * [simplify]: Extracting #4: cost 173 inf + 220 112.976 * * [simplify]: Extracting #5: cost 166 inf + 932 112.981 * * [simplify]: Extracting #6: cost 88 inf + 11591 112.996 * * [simplify]: Extracting #7: cost 23 inf + 44560 113.019 * * [simplify]: Extracting #8: cost 0 inf + 67855 113.030 * * [simplify]: Extracting #9: cost 0 inf + 67735 113.041 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 113.041 * [simplify]: Simplified (2 1 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))) 113.041 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 113.041 * * [simplify]: iters left: 6 (11 enodes) 113.045 * * [simplify]: iters left: 5 (48 enodes) 113.060 * * [simplify]: iters left: 4 (78 enodes) 113.086 * * [simplify]: iters left: 3 (122 enodes) 113.132 * * [simplify]: iters left: 2 (223 enodes) 113.214 * * [simplify]: iters left: 1 (410 enodes) 113.431 * * [simplify]: Extracting #0: cost 1 inf + 0 113.431 * * [simplify]: Extracting #1: cost 4 inf + 0 113.431 * * [simplify]: Extracting #2: cost 34 inf + 0 113.432 * * [simplify]: Extracting #3: cost 129 inf + 1 113.433 * * [simplify]: Extracting #4: cost 173 inf + 220 113.435 * * [simplify]: Extracting #5: cost 166 inf + 932 113.440 * * [simplify]: Extracting #6: cost 88 inf + 11591 113.454 * * [simplify]: Extracting #7: cost 23 inf + 44560 113.477 * * [simplify]: Extracting #8: cost 0 inf + 67855 113.499 * * [simplify]: Extracting #9: cost 0 inf + 67735 113.520 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 113.520 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (pow k -1/2))) 113.520 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 113.520 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 113.520 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 113.520 * * [simplify]: iters left: 6 (11 enodes) 113.524 * * [simplify]: iters left: 5 (51 enodes) 113.534 * * [simplify]: iters left: 4 (87 enodes) 113.551 * * [simplify]: iters left: 3 (146 enodes) 113.603 * * [simplify]: iters left: 2 (263 enodes) 113.679 * * [simplify]: iters left: 1 (487 enodes) 113.933 * * [simplify]: Extracting #0: cost 1 inf + 0 113.933 * * [simplify]: Extracting #1: cost 26 inf + 0 113.933 * * [simplify]: Extracting #2: cost 106 inf + 1 113.934 * * [simplify]: Extracting #3: cost 193 inf + 178 113.935 * * [simplify]: Extracting #4: cost 194 inf + 772 113.941 * * [simplify]: Extracting #5: cost 111 inf + 9358 113.948 * * [simplify]: Extracting #6: cost 38 inf + 33372 113.959 * * [simplify]: Extracting #7: cost 1 inf + 64754 113.970 * * [simplify]: Extracting #8: cost 0 inf + 63763 113.989 * * [simplify]: Extracting #9: cost 0 inf + 63592 114.013 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 114.013 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow k -1/2))) 114.013 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 114.014 * * [simplify]: iters left: 6 (11 enodes) 114.021 * * [simplify]: iters left: 5 (51 enodes) 114.034 * * [simplify]: iters left: 4 (87 enodes) 114.051 * * [simplify]: iters left: 3 (146 enodes) 114.099 * * [simplify]: iters left: 2 (263 enodes) 114.206 * * [simplify]: iters left: 1 (487 enodes) 114.428 * * [simplify]: Extracting #0: cost 1 inf + 0 114.428 * * [simplify]: Extracting #1: cost 26 inf + 0 114.429 * * [simplify]: Extracting #2: cost 106 inf + 1 114.430 * * [simplify]: Extracting #3: cost 193 inf + 178 114.432 * * [simplify]: Extracting #4: cost 194 inf + 772 114.438 * * [simplify]: Extracting #5: cost 111 inf + 9358 114.451 * * [simplify]: Extracting #6: cost 38 inf + 33372 114.472 * * [simplify]: Extracting #7: cost 1 inf + 64754 114.499 * * [simplify]: Extracting #8: cost 0 inf + 63763 114.522 * * [simplify]: Extracting #9: cost 0 inf + 63592 114.545 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 114.545 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (pow k -1/2))) 114.545 * * * * [progress]: [ 42 / 118 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (pow k -1/2)))> 114.546 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 114.546 * * [simplify]: iters left: 6 (11 enodes) 114.553 * * [simplify]: iters left: 5 (45 enodes) 114.568 * * [simplify]: iters left: 4 (74 enodes) 114.592 * * [simplify]: iters left: 3 (118 enodes) 114.636 * * [simplify]: iters left: 2 (216 enodes) 114.683 * * [simplify]: iters left: 1 (389 enodes) 114.828 * * [simplify]: Extracting #0: cost 1 inf + 0 114.828 * * [simplify]: Extracting #1: cost 2 inf + 0 114.828 * * [simplify]: Extracting #2: cost 30 inf + 0 114.829 * * [simplify]: Extracting #3: cost 111 inf + 1 114.829 * * [simplify]: Extracting #4: cost 170 inf + 218 114.830 * * [simplify]: Extracting #5: cost 169 inf + 561 114.832 * * [simplify]: Extracting #6: cost 108 inf + 8147 114.840 * * [simplify]: Extracting #7: cost 43 inf + 32044 114.860 * * [simplify]: Extracting #8: cost 3 inf + 66900 114.881 * * [simplify]: Extracting #9: cost 0 inf + 69376 114.897 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 114.897 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (pow k -1/2))) 114.897 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 114.897 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 114.897 * * [simplify]: iters left: 5 (6 enodes) 114.899 * * [simplify]: iters left: 4 (22 enodes) 114.902 * * [simplify]: iters left: 3 (30 enodes) 114.907 * * [simplify]: iters left: 2 (35 enodes) 114.911 * * [simplify]: Extracting #0: cost 1 inf + 0 114.911 * * [simplify]: Extracting #1: cost 3 inf + 0 114.911 * * [simplify]: Extracting #2: cost 10 inf + 0 114.911 * * [simplify]: Extracting #3: cost 10 inf + 3 114.911 * * [simplify]: Extracting #4: cost 6 inf + 171 114.911 * * [simplify]: Extracting #5: cost 1 inf + 574 114.912 * * [simplify]: Extracting #6: cost 0 inf + 727 114.912 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 114.912 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 114.912 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 114.912 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 114.912 * * [simplify]: iters left: 5 (6 enodes) 114.916 * * [simplify]: iters left: 4 (22 enodes) 114.920 * * [simplify]: iters left: 3 (30 enodes) 114.930 * * [simplify]: iters left: 2 (35 enodes) 114.939 * * [simplify]: Extracting #0: cost 1 inf + 0 114.939 * * [simplify]: Extracting #1: cost 3 inf + 0 114.939 * * [simplify]: Extracting #2: cost 10 inf + 0 114.939 * * [simplify]: Extracting #3: cost 10 inf + 3 114.939 * * [simplify]: Extracting #4: cost 6 inf + 171 114.939 * * [simplify]: Extracting #5: cost 1 inf + 594 114.940 * * [simplify]: Extracting #6: cost 0 inf + 767 114.940 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 114.940 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 114.940 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 114.941 * [simplify]: Simplifying (* n (* 2 PI)) 114.941 * * [simplify]: iters left: 4 (5 enodes) 114.944 * * [simplify]: iters left: 3 (19 enodes) 114.950 * * [simplify]: iters left: 2 (27 enodes) 114.954 * * [simplify]: iters left: 1 (32 enodes) 114.959 * * [simplify]: Extracting #0: cost 1 inf + 0 114.959 * * [simplify]: Extracting #1: cost 8 inf + 0 114.959 * * [simplify]: Extracting #2: cost 7 inf + 45 114.959 * * [simplify]: Extracting #3: cost 0 inf + 421 114.959 * [simplify]: Simplified to (* (* PI 2) n) 114.959 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 114.959 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 114.959 * [simplify]: Simplifying (* n (* 2 PI)) 114.959 * * [simplify]: iters left: 4 (5 enodes) 114.961 * * [simplify]: iters left: 3 (19 enodes) 114.964 * * [simplify]: iters left: 2 (27 enodes) 114.968 * * [simplify]: iters left: 1 (32 enodes) 114.972 * * [simplify]: Extracting #0: cost 1 inf + 0 114.972 * * [simplify]: Extracting #1: cost 8 inf + 0 114.972 * * [simplify]: Extracting #2: cost 7 inf + 45 114.973 * * [simplify]: Extracting #3: cost 0 inf + 421 114.973 * [simplify]: Simplified to (* (* PI 2) n) 114.973 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (pow k -1/2))) 114.973 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 114.973 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 114.973 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 114.973 * * [simplify]: iters left: 5 (8 enodes) 114.976 * * [simplify]: iters left: 4 (28 enodes) 114.981 * * [simplify]: iters left: 3 (36 enodes) 114.993 * * [simplify]: iters left: 2 (42 enodes) 115.004 * * [simplify]: Extracting #0: cost 1 inf + 0 115.004 * * [simplify]: Extracting #1: cost 8 inf + 0 115.004 * * [simplify]: Extracting #2: cost 17 inf + 0 115.004 * * [simplify]: Extracting #3: cost 12 inf + 145 115.005 * * [simplify]: Extracting #4: cost 5 inf + 1197 115.005 * * [simplify]: Extracting #5: cost 1 inf + 1925 115.006 * * [simplify]: Extracting #6: cost 0 inf + 2107 115.006 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 115.006 * [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))) 115.007 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 115.007 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 115.007 * * [simplify]: iters left: 5 (7 enodes) 115.011 * * [simplify]: iters left: 4 (26 enodes) 115.020 * * [simplify]: iters left: 3 (35 enodes) 115.030 * * [simplify]: iters left: 2 (44 enodes) 115.045 * * [simplify]: Extracting #0: cost 1 inf + 0 115.045 * * [simplify]: Extracting #1: cost 8 inf + 0 115.045 * * [simplify]: Extracting #2: cost 18 inf + 0 115.045 * * [simplify]: Extracting #3: cost 15 inf + 74 115.046 * * [simplify]: Extracting #4: cost 8 inf + 554 115.046 * * [simplify]: Extracting #5: cost 0 inf + 1911 115.047 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 115.047 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 115.047 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 115.048 * [simplify]: Simplifying (log (* n (* 2 PI))) 115.048 * * [simplify]: iters left: 5 (6 enodes) 115.051 * * [simplify]: iters left: 4 (25 enodes) 115.059 * * [simplify]: iters left: 3 (44 enodes) 115.071 * * [simplify]: iters left: 2 (62 enodes) 115.081 * * [simplify]: iters left: 1 (70 enodes) 115.090 * * [simplify]: Extracting #0: cost 1 inf + 0 115.090 * * [simplify]: Extracting #1: cost 9 inf + 0 115.090 * * [simplify]: Extracting #2: cost 22 inf + 0 115.090 * * [simplify]: Extracting #3: cost 19 inf + 228 115.090 * * [simplify]: Extracting #4: cost 6 inf + 1211 115.091 * * [simplify]: Extracting #5: cost 1 inf + 1713 115.091 * * [simplify]: Extracting #6: cost 0 inf + 1825 115.092 * [simplify]: Simplified to (log (* (* PI 2) n)) 115.092 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 115.092 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 115.092 * [simplify]: Simplifying (exp (* n (* 2 PI))) 115.092 * * [simplify]: iters left: 5 (6 enodes) 115.094 * * [simplify]: iters left: 4 (24 enodes) 115.097 * * [simplify]: iters left: 3 (41 enodes) 115.105 * * [simplify]: iters left: 2 (77 enodes) 115.127 * * [simplify]: iters left: 1 (133 enodes) 115.158 * * [simplify]: Extracting #0: cost 1 inf + 0 115.158 * * [simplify]: Extracting #1: cost 33 inf + 0 115.158 * * [simplify]: Extracting #2: cost 74 inf + 902 115.159 * * [simplify]: Extracting #3: cost 69 inf + 4725 115.160 * * [simplify]: Extracting #4: cost 24 inf + 14472 115.163 * * [simplify]: Extracting #5: cost 2 inf + 20599 115.165 * * [simplify]: Extracting #6: cost 0 inf + 21175 115.167 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 115.167 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 115.167 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 115.168 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 115.168 * * [simplify]: iters left: 6 (11 enodes) 115.172 * * [simplify]: iters left: 5 (48 enodes) 115.182 * * [simplify]: iters left: 4 (121 enodes) 115.211 * * [simplify]: iters left: 3 (355 enodes) 115.406 * * [simplify]: Extracting #0: cost 1 inf + 0 115.406 * * [simplify]: Extracting #1: cost 65 inf + 0 115.407 * * [simplify]: Extracting #2: cost 162 inf + 496 115.410 * * [simplify]: Extracting #3: cost 89 inf + 8992 115.416 * * [simplify]: Extracting #4: cost 19 inf + 22730 115.422 * * [simplify]: Extracting #5: cost 0 inf + 27780 115.430 * * [simplify]: Extracting #6: cost 0 inf + 27740 115.443 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 115.443 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (pow k -1/2))) 115.444 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 115.448 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 115.449 * * [simplify]: iters left: 6 (9 enodes) 115.453 * * [simplify]: iters left: 5 (45 enodes) 115.462 * * [simplify]: iters left: 4 (117 enodes) 115.498 * * [simplify]: iters left: 3 (377 enodes) 115.799 * * [simplify]: Extracting #0: cost 1 inf + 0 115.799 * * [simplify]: Extracting #1: cost 79 inf + 0 115.801 * * [simplify]: Extracting #2: cost 190 inf + 659 115.809 * * [simplify]: Extracting #3: cost 100 inf + 13035 115.826 * * [simplify]: Extracting #4: cost 6 inf + 31482 115.848 * * [simplify]: Extracting #5: cost 0 inf + 32336 115.858 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 115.858 * [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))) 115.858 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 115.858 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 115.858 * * [simplify]: iters left: 6 (7 enodes) 115.860 * * [simplify]: iters left: 5 (25 enodes) 115.864 * * [simplify]: iters left: 4 (33 enodes) 115.869 * * [simplify]: iters left: 3 (39 enodes) 115.874 * * [simplify]: Extracting #0: cost 1 inf + 0 115.874 * * [simplify]: Extracting #1: cost 3 inf + 0 115.874 * * [simplify]: Extracting #2: cost 5 inf + 0 115.874 * * [simplify]: Extracting #3: cost 12 inf + 0 115.874 * * [simplify]: Extracting #4: cost 11 inf + 45 115.875 * * [simplify]: Extracting #5: cost 5 inf + 500 115.875 * * [simplify]: Extracting #6: cost 1 inf + 950 115.875 * * [simplify]: Extracting #7: cost 0 inf + 1153 115.876 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 115.876 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 115.876 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 115.876 * * [simplify]: iters left: 5 (6 enodes) 115.880 * * [simplify]: iters left: 4 (22 enodes) 115.885 * * [simplify]: iters left: 3 (30 enodes) 115.890 * * [simplify]: iters left: 2 (35 enodes) 115.894 * * [simplify]: Extracting #0: cost 1 inf + 0 115.894 * * [simplify]: Extracting #1: cost 3 inf + 0 115.894 * * [simplify]: Extracting #2: cost 10 inf + 0 115.894 * * [simplify]: Extracting #3: cost 10 inf + 3 115.895 * * [simplify]: Extracting #4: cost 6 inf + 171 115.895 * * [simplify]: Extracting #5: cost 1 inf + 584 115.895 * * [simplify]: Extracting #6: cost 0 inf + 747 115.895 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 115.895 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 115.895 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 115.895 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 115.895 * * [simplify]: iters left: 6 (7 enodes) 115.898 * * [simplify]: iters left: 5 (35 enodes) 115.906 * * [simplify]: iters left: 4 (120 enodes) 115.978 * * [simplify]: iters left: 3 (434 enodes) 116.397 * * [simplify]: Extracting #0: cost 1 inf + 0 116.398 * * [simplify]: Extracting #1: cost 70 inf + 0 116.405 * * [simplify]: Extracting #2: cost 180 inf + 783 116.411 * * [simplify]: Extracting #3: cost 74 inf + 15033 116.421 * * [simplify]: Extracting #4: cost 1 inf + 25830 116.430 * * [simplify]: Extracting #5: cost 0 inf + 25831 116.440 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 116.440 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2)) (pow k -1/2))) 116.440 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 116.440 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 116.440 * * [simplify]: iters left: 5 (6 enodes) 116.442 * * [simplify]: iters left: 4 (22 enodes) 116.448 * * [simplify]: iters left: 3 (30 enodes) 116.457 * * [simplify]: iters left: 2 (35 enodes) 116.467 * * [simplify]: Extracting #0: cost 1 inf + 0 116.467 * * [simplify]: Extracting #1: cost 3 inf + 0 116.467 * * [simplify]: Extracting #2: cost 10 inf + 0 116.467 * * [simplify]: Extracting #3: cost 10 inf + 3 116.467 * * [simplify]: Extracting #4: cost 6 inf + 171 116.468 * * [simplify]: Extracting #5: cost 1 inf + 544 116.468 * * [simplify]: Extracting #6: cost 0 inf + 667 116.468 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 116.468 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2))) 116.469 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 116.469 * * [simplify]: iters left: 5 (6 enodes) 116.472 * * [simplify]: iters left: 4 (22 enodes) 116.479 * * [simplify]: iters left: 3 (30 enodes) 116.489 * * [simplify]: iters left: 2 (35 enodes) 116.497 * * [simplify]: Extracting #0: cost 1 inf + 0 116.497 * * [simplify]: Extracting #1: cost 3 inf + 0 116.497 * * [simplify]: Extracting #2: cost 10 inf + 0 116.498 * * [simplify]: Extracting #3: cost 10 inf + 3 116.498 * * [simplify]: Extracting #4: cost 6 inf + 171 116.498 * * [simplify]: Extracting #5: cost 1 inf + 544 116.498 * * [simplify]: Extracting #6: cost 0 inf + 667 116.499 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 116.499 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 116.499 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 116.499 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 116.499 * [simplify]: Simplifying (* n 2) 116.499 * * [simplify]: iters left: 2 (3 enodes) 116.501 * * [simplify]: iters left: 1 (10 enodes) 116.504 * * [simplify]: Extracting #0: cost 1 inf + 0 116.504 * * [simplify]: Extracting #1: cost 4 inf + 0 116.504 * * [simplify]: Extracting #2: cost 2 inf + 2 116.504 * * [simplify]: Extracting #3: cost 0 inf + 86 116.504 * [simplify]: Simplified to (* n 2) 116.504 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow k -1/2))) 116.505 * * * * [progress]: [ 59 / 118 ] simplifiying candidate # 116.505 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 116.505 * * [simplify]: iters left: 4 (6 enodes) 116.508 * * [simplify]: iters left: 3 (22 enodes) 116.518 * * [simplify]: iters left: 2 (30 enodes) 116.527 * * [simplify]: iters left: 1 (35 enodes) 116.536 * * [simplify]: Extracting #0: cost 1 inf + 0 116.536 * * [simplify]: Extracting #1: cost 8 inf + 0 116.537 * * [simplify]: Extracting #2: cost 10 inf + 44 116.537 * * [simplify]: Extracting #3: cost 8 inf + 87 116.537 * * [simplify]: Extracting #4: cost 5 inf + 453 116.537 * * [simplify]: Extracting #5: cost 0 inf + 1063 116.538 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 116.538 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 116.538 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 116.538 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 116.538 * * [simplify]: iters left: 4 (6 enodes) 116.542 * * [simplify]: iters left: 3 (22 enodes) 116.548 * * [simplify]: iters left: 2 (30 enodes) 116.557 * * [simplify]: iters left: 1 (35 enodes) 116.567 * * [simplify]: Extracting #0: cost 1 inf + 0 116.567 * * [simplify]: Extracting #1: cost 8 inf + 0 116.567 * * [simplify]: Extracting #2: cost 10 inf + 44 116.567 * * [simplify]: Extracting #3: cost 8 inf + 87 116.567 * * [simplify]: Extracting #4: cost 5 inf + 333 116.567 * * [simplify]: Extracting #5: cost 0 inf + 743 116.567 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 116.567 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (pow k -1/2))) 116.568 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 116.568 * [simplify]: Simplifying (* n (* 2 PI)) 116.568 * * [simplify]: iters left: 4 (5 enodes) 116.569 * * [simplify]: iters left: 3 (19 enodes) 116.572 * * [simplify]: iters left: 2 (27 enodes) 116.576 * * [simplify]: iters left: 1 (32 enodes) 116.581 * * [simplify]: Extracting #0: cost 1 inf + 0 116.581 * * [simplify]: Extracting #1: cost 8 inf + 0 116.581 * * [simplify]: Extracting #2: cost 7 inf + 45 116.581 * * [simplify]: Extracting #3: cost 0 inf + 421 116.581 * [simplify]: Simplified to (* (* PI 2) n) 116.581 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2)) (pow k -1/2))) 116.581 * * * * [progress]: [ 62 / 118 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (pow k -1/2)))> 116.581 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 116.581 * * [simplify]: iters left: 5 (6 enodes) 116.583 * * [simplify]: iters left: 4 (19 enodes) 116.586 * * [simplify]: iters left: 3 (27 enodes) 116.590 * * [simplify]: iters left: 2 (32 enodes) 116.594 * * [simplify]: Extracting #0: cost 1 inf + 0 116.594 * * [simplify]: Extracting #1: cost 2 inf + 0 116.594 * * [simplify]: Extracting #2: cost 8 inf + 0 116.594 * * [simplify]: Extracting #3: cost 7 inf + 45 116.595 * * [simplify]: Extracting #4: cost 1 inf + 379 116.595 * * [simplify]: Extracting #5: cost 0 inf + 421 116.595 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 116.595 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2)) (pow k -1/2))) 116.595 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 116.595 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 116.595 * [simplify]: Simplifying (expm1 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 116.595 * * [simplify]: iters left: 6 (14 enodes) 116.600 * * [simplify]: iters left: 5 (62 enodes) 116.624 * * [simplify]: iters left: 4 (119 enodes) 116.663 * * [simplify]: iters left: 3 (237 enodes) 116.725 * * [simplify]: Extracting #0: cost 1 inf + 0 116.725 * * [simplify]: Extracting #1: cost 3 inf + 0 116.725 * * [simplify]: Extracting #2: cost 34 inf + 0 116.726 * * [simplify]: Extracting #3: cost 114 inf + 0 116.727 * * [simplify]: Extracting #4: cost 141 inf + 6 116.728 * * [simplify]: Extracting #5: cost 128 inf + 2672 116.733 * * [simplify]: Extracting #6: cost 63 inf + 30120 116.745 * * [simplify]: Extracting #7: cost 12 inf + 59049 116.760 * * [simplify]: Extracting #8: cost 0 inf + 68911 116.775 * [simplify]: Simplified to (expm1 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 116.776 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 116.776 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 116.776 * [simplify]: Simplifying (log1p (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 116.777 * * [simplify]: iters left: 6 (14 enodes) 116.783 * * [simplify]: iters left: 5 (62 enodes) 116.794 * * [simplify]: iters left: 4 (119 enodes) 116.824 * * [simplify]: iters left: 3 (237 enodes) 116.907 * * [simplify]: Extracting #0: cost 1 inf + 0 116.907 * * [simplify]: Extracting #1: cost 3 inf + 0 116.907 * * [simplify]: Extracting #2: cost 34 inf + 0 116.908 * * [simplify]: Extracting #3: cost 114 inf + 0 116.909 * * [simplify]: Extracting #4: cost 141 inf + 6 116.910 * * [simplify]: Extracting #5: cost 128 inf + 2672 116.915 * * [simplify]: Extracting #6: cost 63 inf + 30160 116.927 * * [simplify]: Extracting #7: cost 12 inf + 59089 116.946 * * [simplify]: Extracting #8: cost 0 inf + 68951 116.961 * [simplify]: Simplified to (log1p (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 116.961 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 116.961 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 116.961 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 116.961 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 116.961 * * [simplify]: iters left: 6 (17 enodes) 116.972 * * [simplify]: iters left: 5 (69 enodes) 116.994 * * [simplify]: iters left: 4 (115 enodes) 117.038 * * [simplify]: iters left: 3 (298 enodes) 117.169 * * [simplify]: Extracting #0: cost 1 inf + 0 117.169 * * [simplify]: Extracting #1: cost 28 inf + 0 117.169 * * [simplify]: Extracting #2: cost 108 inf + 1 117.170 * * [simplify]: Extracting #3: cost 150 inf + 888 117.172 * * [simplify]: Extracting #4: cost 117 inf + 12504 117.180 * * [simplify]: Extracting #5: cost 10 inf + 43042 117.189 * * [simplify]: Extracting #6: cost 0 inf + 46585 117.208 * * [simplify]: Extracting #7: cost 0 inf + 46583 117.221 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 117.221 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 117.221 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 117.222 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 117.222 * * [simplify]: iters left: 6 (17 enodes) 117.227 * * [simplify]: iters left: 5 (69 enodes) 117.239 * * [simplify]: iters left: 4 (115 enodes) 117.266 * * [simplify]: iters left: 3 (298 enodes) 117.356 * * [simplify]: Extracting #0: cost 1 inf + 0 117.356 * * [simplify]: Extracting #1: cost 28 inf + 0 117.356 * * [simplify]: Extracting #2: cost 108 inf + 1 117.357 * * [simplify]: Extracting #3: cost 150 inf + 888 117.360 * * [simplify]: Extracting #4: cost 117 inf + 12504 117.368 * * [simplify]: Extracting #5: cost 10 inf + 43042 117.377 * * [simplify]: Extracting #6: cost 0 inf + 46585 117.390 * * [simplify]: Extracting #7: cost 0 inf + 46583 117.400 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 117.400 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 117.400 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 117.400 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 117.400 * * [simplify]: iters left: 6 (17 enodes) 117.406 * * [simplify]: iters left: 5 (74 enodes) 117.420 * * [simplify]: iters left: 4 (136 enodes) 117.471 * * [simplify]: iters left: 3 (360 enodes) 117.602 * * [simplify]: Extracting #0: cost 1 inf + 0 117.602 * * [simplify]: Extracting #1: cost 34 inf + 0 117.603 * * [simplify]: Extracting #2: cost 141 inf + 2 117.605 * * [simplify]: Extracting #3: cost 187 inf + 669 117.610 * * [simplify]: Extracting #4: cost 157 inf + 16963 117.619 * * [simplify]: Extracting #5: cost 16 inf + 58022 117.631 * * [simplify]: Extracting #6: cost 1 inf + 60311 117.643 * * [simplify]: Extracting #7: cost 0 inf + 60519 117.661 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)) 117.661 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2)))) 117.662 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 117.662 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 117.662 * * [simplify]: iters left: 6 (16 enodes) 117.667 * * [simplify]: iters left: 5 (67 enodes) 117.678 * * [simplify]: iters left: 4 (108 enodes) 117.703 * * [simplify]: iters left: 3 (242 enodes) 117.798 * * [simplify]: Extracting #0: cost 1 inf + 0 117.798 * * [simplify]: Extracting #1: cost 25 inf + 0 117.799 * * [simplify]: Extracting #2: cost 99 inf + 1 117.800 * * [simplify]: Extracting #3: cost 143 inf + 190 117.803 * * [simplify]: Extracting #4: cost 116 inf + 9239 117.813 * * [simplify]: Extracting #5: cost 32 inf + 29666 117.827 * * [simplify]: Extracting #6: cost 13 inf + 35018 117.843 * * [simplify]: Extracting #7: cost 0 inf + 38513 117.858 * * [simplify]: Extracting #8: cost 0 inf + 38433 117.872 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 117.872 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 117.872 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 117.873 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 117.873 * * [simplify]: iters left: 6 (16 enodes) 117.878 * * [simplify]: iters left: 5 (67 enodes) 117.889 * * [simplify]: iters left: 4 (108 enodes) 117.908 * * [simplify]: iters left: 3 (242 enodes) 117.994 * * [simplify]: Extracting #0: cost 1 inf + 0 117.994 * * [simplify]: Extracting #1: cost 25 inf + 0 117.995 * * [simplify]: Extracting #2: cost 99 inf + 1 117.995 * * [simplify]: Extracting #3: cost 143 inf + 190 117.997 * * [simplify]: Extracting #4: cost 116 inf + 9239 118.002 * * [simplify]: Extracting #5: cost 32 inf + 29666 118.009 * * [simplify]: Extracting #6: cost 13 inf + 35018 118.017 * * [simplify]: Extracting #7: cost 0 inf + 38513 118.034 * * [simplify]: Extracting #8: cost 0 inf + 38433 118.042 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 118.043 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 118.043 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 118.043 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 118.043 * * [simplify]: iters left: 6 (16 enodes) 118.048 * * [simplify]: iters left: 5 (72 enodes) 118.062 * * [simplify]: iters left: 4 (129 enodes) 118.087 * * [simplify]: iters left: 3 (303 enodes) 118.210 * * [simplify]: Extracting #0: cost 1 inf + 0 118.210 * * [simplify]: Extracting #1: cost 27 inf + 0 118.211 * * [simplify]: Extracting #2: cost 115 inf + 2 118.212 * * [simplify]: Extracting #3: cost 166 inf + 569 118.214 * * [simplify]: Extracting #4: cost 155 inf + 7950 118.224 * * [simplify]: Extracting #5: cost 60 inf + 31864 118.240 * * [simplify]: Extracting #6: cost 13 inf + 44516 118.259 * * [simplify]: Extracting #7: cost 0 inf + 48679 118.271 * * [simplify]: Extracting #8: cost 0 inf + 48599 118.280 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) 118.280 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)))) 118.280 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 118.280 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 118.281 * * [simplify]: iters left: 6 (15 enodes) 118.285 * * [simplify]: iters left: 5 (66 enodes) 118.301 * * [simplify]: iters left: 4 (115 enodes) 118.324 * * [simplify]: iters left: 3 (229 enodes) 118.416 * * [simplify]: Extracting #0: cost 1 inf + 0 118.416 * * [simplify]: Extracting #1: cost 21 inf + 0 118.416 * * [simplify]: Extracting #2: cost 98 inf + 1 118.422 * * [simplify]: Extracting #3: cost 137 inf + 469 118.425 * * [simplify]: Extracting #4: cost 117 inf + 7457 118.435 * * [simplify]: Extracting #5: cost 24 inf + 27566 118.449 * * [simplify]: Extracting #6: cost 1 inf + 33399 118.463 * * [simplify]: Extracting #7: cost 0 inf + 33739 118.477 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 118.477 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 118.477 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 118.478 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 118.478 * * [simplify]: iters left: 6 (15 enodes) 118.488 * * [simplify]: iters left: 5 (66 enodes) 118.503 * * [simplify]: iters left: 4 (115 enodes) 118.522 * * [simplify]: iters left: 3 (229 enodes) 118.605 * * [simplify]: Extracting #0: cost 1 inf + 0 118.605 * * [simplify]: Extracting #1: cost 21 inf + 0 118.606 * * [simplify]: Extracting #2: cost 98 inf + 1 118.606 * * [simplify]: Extracting #3: cost 137 inf + 469 118.608 * * [simplify]: Extracting #4: cost 117 inf + 7457 118.614 * * [simplify]: Extracting #5: cost 24 inf + 27566 118.627 * * [simplify]: Extracting #6: cost 1 inf + 33399 118.636 * * [simplify]: Extracting #7: cost 0 inf + 33739 118.644 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 118.644 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 118.644 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 118.644 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 118.644 * * [simplify]: iters left: 6 (15 enodes) 118.649 * * [simplify]: iters left: 5 (71 enodes) 118.664 * * [simplify]: iters left: 4 (136 enodes) 118.715 * * [simplify]: iters left: 3 (290 enodes) 118.820 * * [simplify]: Extracting #0: cost 1 inf + 0 118.820 * * [simplify]: Extracting #1: cost 23 inf + 0 118.820 * * [simplify]: Extracting #2: cost 111 inf + 2 118.821 * * [simplify]: Extracting #3: cost 163 inf + 316 118.822 * * [simplify]: Extracting #4: cost 141 inf + 8920 118.826 * * [simplify]: Extracting #5: cost 74 inf + 22853 118.837 * * [simplify]: Extracting #6: cost 13 inf + 37518 118.854 * * [simplify]: Extracting #7: cost 0 inf + 42390 118.871 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 118.871 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 118.871 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 118.871 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 118.871 * * [simplify]: iters left: 6 (15 enodes) 118.880 * * [simplify]: iters left: 5 (66 enodes) 118.895 * * [simplify]: iters left: 4 (115 enodes) 118.915 * * [simplify]: iters left: 3 (229 enodes) 118.988 * * [simplify]: Extracting #0: cost 1 inf + 0 118.988 * * [simplify]: Extracting #1: cost 21 inf + 0 118.989 * * [simplify]: Extracting #2: cost 98 inf + 1 118.990 * * [simplify]: Extracting #3: cost 137 inf + 469 118.993 * * [simplify]: Extracting #4: cost 117 inf + 7457 118.999 * * [simplify]: Extracting #5: cost 24 inf + 27566 119.006 * * [simplify]: Extracting #6: cost 1 inf + 33399 119.014 * * [simplify]: Extracting #7: cost 0 inf + 33739 119.024 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 119.024 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 119.024 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 119.024 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (* (log k) -1/2)) 119.024 * * [simplify]: iters left: 6 (15 enodes) 119.029 * * [simplify]: iters left: 5 (66 enodes) 119.041 * * [simplify]: iters left: 4 (115 enodes) 119.061 * * [simplify]: iters left: 3 (229 enodes) 119.151 * * [simplify]: Extracting #0: cost 1 inf + 0 119.151 * * [simplify]: Extracting #1: cost 21 inf + 0 119.151 * * [simplify]: Extracting #2: cost 98 inf + 1 119.152 * * [simplify]: Extracting #3: cost 137 inf + 469 119.155 * * [simplify]: Extracting #4: cost 117 inf + 7457 119.162 * * [simplify]: Extracting #5: cost 24 inf + 27566 119.169 * * [simplify]: Extracting #6: cost 1 inf + 33399 119.176 * * [simplify]: Extracting #7: cost 0 inf + 33739 119.183 * [simplify]: Simplified to (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 119.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 119.183 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 119.184 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (pow k -1/2))) 119.184 * * [simplify]: iters left: 6 (15 enodes) 119.190 * * [simplify]: iters left: 5 (71 enodes) 119.222 * * [simplify]: iters left: 4 (136 enodes) 119.272 * * [simplify]: iters left: 3 (290 enodes) 119.387 * * [simplify]: Extracting #0: cost 1 inf + 0 119.387 * * [simplify]: Extracting #1: cost 23 inf + 0 119.388 * * [simplify]: Extracting #2: cost 111 inf + 2 119.389 * * [simplify]: Extracting #3: cost 163 inf + 316 119.392 * * [simplify]: Extracting #4: cost 141 inf + 8920 119.399 * * [simplify]: Extracting #5: cost 74 inf + 22853 119.413 * * [simplify]: Extracting #6: cost 13 inf + 37518 119.430 * * [simplify]: Extracting #7: cost 0 inf + 42390 119.447 * [simplify]: Simplified to (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) 119.447 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)))) 119.448 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 119.448 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 119.448 * * [simplify]: iters left: 6 (15 enodes) 119.456 * * [simplify]: iters left: 5 (64 enodes) 119.471 * * [simplify]: iters left: 4 (114 enodes) 119.500 * * [simplify]: iters left: 3 (221 enodes) 119.571 * * [simplify]: Extracting #0: cost 1 inf + 0 119.571 * * [simplify]: Extracting #1: cost 20 inf + 0 119.571 * * [simplify]: Extracting #2: cost 120 inf + 1 119.572 * * [simplify]: Extracting #3: cost 183 inf + 77 119.575 * * [simplify]: Extracting #4: cost 145 inf + 8559 119.584 * * [simplify]: Extracting #5: cost 36 inf + 30929 119.591 * * [simplify]: Extracting #6: cost 0 inf + 41780 119.599 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 119.599 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 119.599 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 119.599 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (log k) -1/2)) 119.599 * * [simplify]: iters left: 6 (15 enodes) 119.604 * * [simplify]: iters left: 5 (64 enodes) 119.617 * * [simplify]: iters left: 4 (114 enodes) 119.655 * * [simplify]: iters left: 3 (221 enodes) 119.752 * * [simplify]: Extracting #0: cost 1 inf + 0 119.752 * * [simplify]: Extracting #1: cost 20 inf + 0 119.752 * * [simplify]: Extracting #2: cost 120 inf + 1 119.754 * * [simplify]: Extracting #3: cost 183 inf + 77 119.757 * * [simplify]: Extracting #4: cost 145 inf + 8559 119.767 * * [simplify]: Extracting #5: cost 36 inf + 30929 119.776 * * [simplify]: Extracting #6: cost 0 inf + 41780 119.783 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))) 119.783 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* (* PI 2) n)) (/ (- 1 k) 2))))) 119.784 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 119.784 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (pow k -1/2))) 119.784 * * [simplify]: iters left: 6 (15 enodes) 119.789 * * [simplify]: iters left: 5 (69 enodes) 119.810 * * [simplify]: iters left: 4 (135 enodes) 119.844 * * [simplify]: iters left: 3 (277 enodes) 119.913 * * [simplify]: Extracting #0: cost 1 inf + 0 119.914 * * [simplify]: Extracting #1: cost 25 inf + 0 119.914 * * [simplify]: Extracting #2: cost 145 inf + 2 119.915 * * [simplify]: Extracting #3: cost 214 inf + 345 119.917 * * [simplify]: Extracting #4: cost 148 inf + 14721 119.924 * * [simplify]: Extracting #5: cost 37 inf + 44544 119.941 * * [simplify]: Extracting #6: cost 2 inf + 53070 119.955 * * [simplify]: Extracting #7: cost 0 inf + 53387 119.964 * [simplify]: Simplified to (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)) 119.964 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (/ (* (log (* (* PI 2) n)) (- 1 k)) 2)))) 119.964 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 119.965 * [simplify]: Simplifying (log (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 119.965 * * [simplify]: iters left: 6 (14 enodes) 119.970 * * [simplify]: iters left: 5 (65 enodes) 119.989 * * [simplify]: iters left: 4 (135 enodes) 120.040 * * [simplify]: iters left: 3 (292 enodes) 120.157 * * [simplify]: Extracting #0: cost 1 inf + 0 120.157 * * [simplify]: Extracting #1: cost 25 inf + 0 120.158 * * [simplify]: Extracting #2: cost 153 inf + 2 120.159 * * [simplify]: Extracting #3: cost 258 inf + 8 120.162 * * [simplify]: Extracting #4: cost 224 inf + 7200 120.178 * * [simplify]: Extracting #5: cost 49 inf + 74927 120.195 * * [simplify]: Extracting #6: cost 1 inf + 97952 120.209 * * [simplify]: Extracting #7: cost 0 inf + 97927 120.225 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log (* (* PI 2) n)) (* (log k) -1/2)) 120.225 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* PI 2) n)) (* (log k) -1/2)))) 120.225 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 120.225 * [simplify]: Simplifying (exp (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 120.226 * * [simplify]: iters left: 6 (14 enodes) 120.231 * * [simplify]: iters left: 5 (64 enodes) 120.245 * * [simplify]: iters left: 4 (130 enodes) 120.293 * * [simplify]: iters left: 3 (279 enodes) 120.388 * * [simplify]: Extracting #0: cost 1 inf + 0 120.388 * * [simplify]: Extracting #1: cost 33 inf + 0 120.389 * * [simplify]: Extracting #2: cost 136 inf + 0 120.389 * * [simplify]: Extracting #3: cost 210 inf + 470 120.391 * * [simplify]: Extracting #4: cost 169 inf + 15988 120.399 * * [simplify]: Extracting #5: cost 43 inf + 83469 120.411 * * [simplify]: Extracting #6: cost 1 inf + 112095 120.438 * * [simplify]: Extracting #7: cost 0 inf + 111782 120.461 * * [simplify]: Extracting #8: cost 0 inf + 111204 120.484 * [simplify]: Simplified to (exp (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 120.484 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 120.485 * * * * [progress]: [ 84 / 118 ] simplifiying candidate # 120.485 * [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))) 120.485 * * [simplify]: iters left: 6 (17 enodes) 120.497 * * [simplify]: iters left: 5 (82 enodes) 120.529 * * [simplify]: iters left: 4 (191 enodes) 120.643 * * [simplify]: Extracting #0: cost 1 inf + 0 120.644 * * [simplify]: Extracting #1: cost 37 inf + 0 120.644 * * [simplify]: Extracting #2: cost 148 inf + 1 120.646 * * [simplify]: Extracting #3: cost 164 inf + 1227 120.648 * * [simplify]: Extracting #4: cost 143 inf + 7368 120.652 * * [simplify]: Extracting #5: cost 95 inf + 22306 120.664 * * [simplify]: Extracting #6: cost 16 inf + 75710 120.675 * * [simplify]: Extracting #7: cost 0 inf + 88890 120.689 * [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))) 120.689 * [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))))) 120.689 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 120.690 * [simplify]: Simplifying (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) 120.690 * * [simplify]: iters left: 6 (15 enodes) 120.694 * * [simplify]: iters left: 5 (65 enodes) 120.718 * * [simplify]: iters left: 4 (122 enodes) 120.763 * * [simplify]: iters left: 3 (239 enodes) 120.856 * * [simplify]: Extracting #0: cost 1 inf + 0 120.856 * * [simplify]: Extracting #1: cost 3 inf + 0 120.856 * * [simplify]: Extracting #2: cost 5 inf + 0 120.857 * * [simplify]: Extracting #3: cost 36 inf + 0 120.857 * * [simplify]: Extracting #4: cost 116 inf + 0 120.857 * * [simplify]: Extracting #5: cost 142 inf + 218 120.858 * * [simplify]: Extracting #6: cost 122 inf + 3845 120.861 * * [simplify]: Extracting #7: cost 50 inf + 34637 120.868 * * [simplify]: Extracting #8: cost 5 inf + 66577 120.876 * * [simplify]: Extracting #9: cost 0 inf + 70837 120.886 * [simplify]: Simplified to (* (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 120.886 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))) 120.886 * [simplify]: Simplifying (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 120.886 * * [simplify]: iters left: 6 (14 enodes) 120.895 * * [simplify]: iters left: 5 (62 enodes) 120.923 * * [simplify]: iters left: 4 (119 enodes) 120.956 * * [simplify]: iters left: 3 (237 enodes) 121.051 * * [simplify]: Extracting #0: cost 1 inf + 0 121.051 * * [simplify]: Extracting #1: cost 3 inf + 0 121.051 * * [simplify]: Extracting #2: cost 34 inf + 0 121.051 * * [simplify]: Extracting #3: cost 114 inf + 0 121.052 * * [simplify]: Extracting #4: cost 141 inf + 6 121.052 * * [simplify]: Extracting #5: cost 128 inf + 2672 121.055 * * [simplify]: Extracting #6: cost 63 inf + 30140 121.061 * * [simplify]: Extracting #7: cost 12 inf + 59069 121.069 * * [simplify]: Extracting #8: cost 0 inf + 68931 121.080 * [simplify]: Simplified to (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.080 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (cbrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))) (cbrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 121.081 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 121.081 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 121.081 * * [simplify]: iters left: 6 (15 enodes) 121.091 * * [simplify]: iters left: 5 (75 enodes) 121.126 * * [simplify]: iters left: 4 (198 enodes) 121.225 * * [simplify]: Extracting #0: cost 1 inf + 0 121.225 * * [simplify]: Extracting #1: cost 49 inf + 0 121.225 * * [simplify]: Extracting #2: cost 178 inf + 1 121.226 * * [simplify]: Extracting #3: cost 195 inf + 8 121.228 * * [simplify]: Extracting #4: cost 154 inf + 19235 121.237 * * [simplify]: Extracting #5: cost 52 inf + 80289 121.261 * * [simplify]: Extracting #6: cost 1 inf + 121242 121.276 * * [simplify]: Extracting #7: cost 0 inf + 121988 121.290 * [simplify]: Simplified to (* (* (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.290 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 121.290 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 121.291 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 121.291 * * [simplify]: iters left: 6 (14 enodes) 121.295 * * [simplify]: iters left: 5 (62 enodes) 121.307 * * [simplify]: iters left: 4 (119 enodes) 121.343 * * [simplify]: iters left: 3 (239 enodes) 121.410 * * [simplify]: Extracting #0: cost 1 inf + 0 121.410 * * [simplify]: Extracting #1: cost 4 inf + 0 121.410 * * [simplify]: Extracting #2: cost 41 inf + 0 121.410 * * [simplify]: Extracting #3: cost 114 inf + 0 121.411 * * [simplify]: Extracting #4: cost 140 inf + 218 121.412 * * [simplify]: Extracting #5: cost 125 inf + 3260 121.415 * * [simplify]: Extracting #6: cost 62 inf + 27059 121.422 * * [simplify]: Extracting #7: cost 9 inf + 62336 121.431 * * [simplify]: Extracting #8: cost 0 inf + 68851 121.438 * [simplify]: Simplified to (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.438 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))))) 121.439 * [simplify]: Simplifying (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 121.439 * * [simplify]: iters left: 6 (14 enodes) 121.444 * * [simplify]: iters left: 5 (62 enodes) 121.466 * * [simplify]: iters left: 4 (119 enodes) 121.492 * * [simplify]: iters left: 3 (239 enodes) 121.562 * * [simplify]: Extracting #0: cost 1 inf + 0 121.562 * * [simplify]: Extracting #1: cost 4 inf + 0 121.562 * * [simplify]: Extracting #2: cost 41 inf + 0 121.562 * * [simplify]: Extracting #3: cost 114 inf + 0 121.563 * * [simplify]: Extracting #4: cost 140 inf + 218 121.563 * * [simplify]: Extracting #5: cost 125 inf + 3260 121.566 * * [simplify]: Extracting #6: cost 62 inf + 27059 121.577 * * [simplify]: Extracting #7: cost 9 inf + 62336 121.591 * * [simplify]: Extracting #8: cost 0 inf + 68851 121.606 * [simplify]: Simplified to (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 121.606 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) (sqrt (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 121.606 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 121.607 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 121.607 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 121.607 * * [simplify]: iters left: 6 (15 enodes) 121.616 * * [simplify]: iters left: 5 (65 enodes) 121.632 * * [simplify]: iters left: 4 (115 enodes) 121.653 * * [simplify]: iters left: 3 (198 enodes) 121.694 * * [simplify]: iters left: 2 (369 enodes) 121.811 * * [simplify]: Extracting #0: cost 1 inf + 0 121.811 * * [simplify]: Extracting #1: cost 26 inf + 0 121.811 * * [simplify]: Extracting #2: cost 81 inf + 0 121.811 * * [simplify]: Extracting #3: cost 94 inf + 7 121.812 * * [simplify]: Extracting #4: cost 145 inf + 10 121.813 * * [simplify]: Extracting #5: cost 146 inf + 6814 121.816 * * [simplify]: Extracting #6: cost 68 inf + 34823 121.825 * * [simplify]: Extracting #7: cost 9 inf + 69804 121.834 * * [simplify]: Extracting #8: cost 0 inf + 77240 121.845 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 121.845 * [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)))) 121.845 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 121.845 * * [simplify]: iters left: 6 (15 enodes) 121.855 * * [simplify]: iters left: 5 (65 enodes) 121.872 * * [simplify]: iters left: 4 (115 enodes) 121.899 * * [simplify]: iters left: 3 (198 enodes) 121.941 * * [simplify]: iters left: 2 (369 enodes) 122.059 * * [simplify]: Extracting #0: cost 1 inf + 0 122.059 * * [simplify]: Extracting #1: cost 26 inf + 0 122.060 * * [simplify]: Extracting #2: cost 81 inf + 0 122.060 * * [simplify]: Extracting #3: cost 94 inf + 7 122.061 * * [simplify]: Extracting #4: cost 145 inf + 10 122.063 * * [simplify]: Extracting #5: cost 146 inf + 6814 122.074 * * [simplify]: Extracting #6: cost 68 inf + 34823 122.090 * * [simplify]: Extracting #7: cost 9 inf + 69804 122.106 * * [simplify]: Extracting #8: cost 0 inf + 77240 122.116 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (pow (sqrt k) -1/2)) 122.116 * [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)))) 122.116 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 122.116 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 122.116 * * [simplify]: iters left: 6 (15 enodes) 122.122 * * [simplify]: iters left: 5 (65 enodes) 122.134 * * [simplify]: iters left: 4 (112 enodes) 122.163 * * [simplify]: iters left: 3 (184 enodes) 122.223 * * [simplify]: iters left: 2 (324 enodes) 122.342 * * [simplify]: Extracting #0: cost 1 inf + 0 122.342 * * [simplify]: Extracting #1: cost 4 inf + 0 122.342 * * [simplify]: Extracting #2: cost 10 inf + 0 122.342 * * [simplify]: Extracting #3: cost 42 inf + 0 122.342 * * [simplify]: Extracting #4: cost 115 inf + 4 122.343 * * [simplify]: Extracting #5: cost 124 inf + 1655 122.345 * * [simplify]: Extracting #6: cost 56 inf + 18041 122.349 * * [simplify]: Extracting #7: cost 11 inf + 35147 122.354 * * [simplify]: Extracting #8: cost 1 inf + 42204 122.359 * * [simplify]: Extracting #9: cost 0 inf + 42508 122.364 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 122.364 * [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))))) 122.365 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 122.365 * * [simplify]: iters left: 6 (15 enodes) 122.369 * * [simplify]: iters left: 5 (65 enodes) 122.382 * * [simplify]: iters left: 4 (112 enodes) 122.423 * * [simplify]: iters left: 3 (184 enodes) 122.469 * * [simplify]: iters left: 2 (324 enodes) 122.566 * * [simplify]: Extracting #0: cost 1 inf + 0 122.566 * * [simplify]: Extracting #1: cost 4 inf + 0 122.566 * * [simplify]: Extracting #2: cost 10 inf + 0 122.567 * * [simplify]: Extracting #3: cost 42 inf + 0 122.567 * * [simplify]: Extracting #4: cost 115 inf + 4 122.568 * * [simplify]: Extracting #5: cost 124 inf + 1655 122.572 * * [simplify]: Extracting #6: cost 56 inf + 18041 122.580 * * [simplify]: Extracting #7: cost 11 inf + 35147 122.590 * * [simplify]: Extracting #8: cost 1 inf + 42204 122.600 * * [simplify]: Extracting #9: cost 0 inf + 42508 122.611 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (pow k -1/2))) 122.611 * [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))))) 122.611 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 122.611 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 122.611 * * [simplify]: iters left: 6 (15 enodes) 122.621 * * [simplify]: iters left: 5 (66 enodes) 122.646 * * [simplify]: iters left: 4 (121 enodes) 122.676 * * [simplify]: iters left: 3 (219 enodes) 122.738 * * [simplify]: iters left: 2 (386 enodes) 122.872 * * [simplify]: Extracting #0: cost 1 inf + 0 122.872 * * [simplify]: Extracting #1: cost 30 inf + 0 122.872 * * [simplify]: Extracting #2: cost 84 inf + 0 122.873 * * [simplify]: Extracting #3: cost 92 inf + 432 122.874 * * [simplify]: Extracting #4: cost 128 inf + 8056 122.876 * * [simplify]: Extracting #5: cost 136 inf + 13918 122.882 * * [simplify]: Extracting #6: cost 80 inf + 28768 122.901 * * [simplify]: Extracting #7: cost 10 inf + 71781 122.912 * * [simplify]: Extracting #8: cost 0 inf + 79110 122.921 * * [simplify]: Extracting #9: cost 0 inf + 78285 122.930 * * [simplify]: Extracting #10: cost 0 inf + 78023 122.949 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) 122.949 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))))) 122.950 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k (/ -1/2 2))) 122.950 * * [simplify]: iters left: 6 (15 enodes) 122.960 * * [simplify]: iters left: 5 (66 enodes) 122.982 * * [simplify]: iters left: 4 (121 enodes) 123.007 * * [simplify]: iters left: 3 (219 enodes) 123.066 * * [simplify]: iters left: 2 (386 enodes) 123.168 * * [simplify]: Extracting #0: cost 1 inf + 0 123.169 * * [simplify]: Extracting #1: cost 30 inf + 0 123.169 * * [simplify]: Extracting #2: cost 84 inf + 0 123.170 * * [simplify]: Extracting #3: cost 92 inf + 432 123.171 * * [simplify]: Extracting #4: cost 128 inf + 8056 123.173 * * [simplify]: Extracting #5: cost 136 inf + 13918 123.175 * * [simplify]: Extracting #6: cost 80 inf + 28768 123.183 * * [simplify]: Extracting #7: cost 10 inf + 71781 123.196 * * [simplify]: Extracting #8: cost 0 inf + 79110 123.208 * * [simplify]: Extracting #9: cost 0 inf + 78285 123.226 * * [simplify]: Extracting #10: cost 0 inf + 78023 123.245 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (pow k -1/4)) 123.245 * [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) (- 1/2 (/ k 2)))) (pow k -1/4)))) 123.245 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 123.245 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 123.246 * * [simplify]: iters left: 6 (15 enodes) 123.255 * * [simplify]: iters left: 5 (68 enodes) 123.281 * * [simplify]: iters left: 4 (128 enodes) 123.334 * * [simplify]: iters left: 3 (258 enodes) 123.448 * * [simplify]: Extracting #0: cost 1 inf + 0 123.448 * * [simplify]: Extracting #1: cost 25 inf + 0 123.449 * * [simplify]: Extracting #2: cost 106 inf + 0 123.450 * * [simplify]: Extracting #3: cost 147 inf + 4 123.451 * * [simplify]: Extracting #4: cost 150 inf + 391 123.454 * * [simplify]: Extracting #5: cost 97 inf + 12126 123.469 * * [simplify]: Extracting #6: cost 25 inf + 51026 123.479 * * [simplify]: Extracting #7: cost 0 inf + 69796 123.487 * * [simplify]: Extracting #8: cost 0 inf + 69636 123.495 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 123.496 * [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)))) 123.496 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (sqrt k) -1/2)) 123.496 * * [simplify]: iters left: 6 (15 enodes) 123.502 * * [simplify]: iters left: 5 (68 enodes) 123.518 * * [simplify]: iters left: 4 (128 enodes) 123.556 * * [simplify]: iters left: 3 (258 enodes) 123.671 * * [simplify]: Extracting #0: cost 1 inf + 0 123.671 * * [simplify]: Extracting #1: cost 25 inf + 0 123.672 * * [simplify]: Extracting #2: cost 106 inf + 0 123.673 * * [simplify]: Extracting #3: cost 147 inf + 4 123.674 * * [simplify]: Extracting #4: cost 150 inf + 391 123.677 * * [simplify]: Extracting #5: cost 97 inf + 12126 123.688 * * [simplify]: Extracting #6: cost 25 inf + 51026 123.708 * * [simplify]: Extracting #7: cost 0 inf + 69796 123.725 * * [simplify]: Extracting #8: cost 0 inf + 69636 123.742 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow (sqrt k) -1/2)) 123.743 * [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)))) 123.743 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 123.743 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 123.743 * * [simplify]: iters left: 6 (15 enodes) 123.753 * * [simplify]: iters left: 5 (68 enodes) 123.773 * * [simplify]: iters left: 4 (121 enodes) 123.801 * * [simplify]: iters left: 3 (221 enodes) 123.872 * * [simplify]: iters left: 2 (430 enodes) 123.986 * * [simplify]: Extracting #0: cost 1 inf + 0 123.986 * * [simplify]: Extracting #1: cost 26 inf + 0 123.987 * * [simplify]: Extracting #2: cost 94 inf + 0 123.988 * * [simplify]: Extracting #3: cost 158 inf + 2 123.989 * * [simplify]: Extracting #4: cost 185 inf + 396 123.992 * * [simplify]: Extracting #5: cost 148 inf + 6155 124.001 * * [simplify]: Extracting #6: cost 68 inf + 30519 124.020 * * [simplify]: Extracting #7: cost 11 inf + 71577 124.046 * * [simplify]: Extracting #8: cost 0 inf + 81666 124.059 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 124.059 * [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))))) 124.059 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (pow k -1/2))) 124.060 * * [simplify]: iters left: 6 (15 enodes) 124.065 * * [simplify]: iters left: 5 (68 enodes) 124.078 * * [simplify]: iters left: 4 (121 enodes) 124.113 * * [simplify]: iters left: 3 (221 enodes) 124.173 * * [simplify]: iters left: 2 (430 enodes) 124.313 * * [simplify]: Extracting #0: cost 1 inf + 0 124.313 * * [simplify]: Extracting #1: cost 26 inf + 0 124.313 * * [simplify]: Extracting #2: cost 94 inf + 0 124.314 * * [simplify]: Extracting #3: cost 158 inf + 2 124.314 * * [simplify]: Extracting #4: cost 185 inf + 396 124.316 * * [simplify]: Extracting #5: cost 148 inf + 6155 124.320 * * [simplify]: Extracting #6: cost 68 inf + 30519 124.332 * * [simplify]: Extracting #7: cost 11 inf + 71577 124.357 * * [simplify]: Extracting #8: cost 0 inf + 81666 124.378 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (pow k -1/2))) 124.378 * [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))))) 124.378 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 124.379 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 124.379 * * [simplify]: iters left: 6 (15 enodes) 124.389 * * [simplify]: iters left: 5 (69 enodes) 124.416 * * [simplify]: iters left: 4 (134 enodes) 124.468 * * [simplify]: iters left: 3 (272 enodes) 124.589 * * [simplify]: Extracting #0: cost 1 inf + 0 124.590 * * [simplify]: Extracting #1: cost 32 inf + 0 124.590 * * [simplify]: Extracting #2: cost 111 inf + 0 124.590 * * [simplify]: Extracting #3: cost 143 inf + 218 124.591 * * [simplify]: Extracting #4: cost 129 inf + 4014 124.595 * * [simplify]: Extracting #5: cost 50 inf + 37569 124.601 * * [simplify]: Extracting #6: cost 7 inf + 62129 124.613 * * [simplify]: Extracting #7: cost 0 inf + 67749 124.623 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 124.624 * [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))))) 124.624 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k (/ -1/2 2))) 124.624 * * [simplify]: iters left: 6 (15 enodes) 124.635 * * [simplify]: iters left: 5 (69 enodes) 124.661 * * [simplify]: iters left: 4 (134 enodes) 124.703 * * [simplify]: iters left: 3 (272 enodes) 124.773 * * [simplify]: Extracting #0: cost 1 inf + 0 124.773 * * [simplify]: Extracting #1: cost 32 inf + 0 124.773 * * [simplify]: Extracting #2: cost 111 inf + 0 124.774 * * [simplify]: Extracting #3: cost 143 inf + 218 124.774 * * [simplify]: Extracting #4: cost 129 inf + 4014 124.781 * * [simplify]: Extracting #5: cost 50 inf + 37569 124.793 * * [simplify]: Extracting #6: cost 7 inf + 62129 124.801 * * [simplify]: Extracting #7: cost 0 inf + 67749 124.812 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (pow k -1/4)) 124.812 * [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)))) 124.813 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 124.813 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) 124.813 * * [simplify]: iters left: 6 (15 enodes) 124.818 * * [simplify]: iters left: 5 (65 enodes) 124.832 * * [simplify]: iters left: 4 (122 enodes) 124.878 * * [simplify]: iters left: 3 (238 enodes) 124.991 * * [simplify]: Extracting #0: cost 1 inf + 0 124.992 * * [simplify]: Extracting #1: cost 32 inf + 0 124.992 * * [simplify]: Extracting #2: cost 113 inf + 0 124.993 * * [simplify]: Extracting #3: cost 143 inf + 5 124.994 * * [simplify]: Extracting #4: cost 145 inf + 140 124.995 * * [simplify]: Extracting #5: cost 134 inf + 1263 124.999 * * [simplify]: Extracting #6: cost 85 inf + 18162 125.013 * * [simplify]: Extracting #7: cost 17 inf + 62599 125.032 * * [simplify]: Extracting #8: cost 0 inf + 76522 125.045 * * [simplify]: Extracting #9: cost 0 inf + 76442 125.055 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) 125.055 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (cbrt k) (cbrt k)) -1/2)) (pow (cbrt k) -1/2))) 125.055 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 125.056 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) 125.056 * * [simplify]: iters left: 6 (14 enodes) 125.064 * * [simplify]: iters left: 5 (62 enodes) 125.076 * * [simplify]: iters left: 4 (119 enodes) 125.104 * * [simplify]: iters left: 3 (237 enodes) 125.171 * * [simplify]: Extracting #0: cost 1 inf + 0 125.171 * * [simplify]: Extracting #1: cost 32 inf + 0 125.171 * * [simplify]: Extracting #2: cost 113 inf + 0 125.172 * * [simplify]: Extracting #3: cost 145 inf + 5 125.172 * * [simplify]: Extracting #4: cost 140 inf + 642 125.175 * * [simplify]: Extracting #5: cost 75 inf + 25337 125.182 * * [simplify]: Extracting #6: cost 9 inf + 63584 125.199 * * [simplify]: Extracting #7: cost 0 inf + 69673 125.214 * * [simplify]: Extracting #8: cost 0 inf + 69513 125.222 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) 125.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (sqrt k) -1/2)) (pow (sqrt k) -1/2))) 125.222 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 125.223 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow 1 -1/2)) 125.223 * * [simplify]: iters left: 6 (13 enodes) 125.227 * * [simplify]: iters left: 5 (53 enodes) 125.239 * * [simplify]: iters left: 4 (88 enodes) 125.262 * * [simplify]: iters left: 3 (131 enodes) 125.306 * * [simplify]: iters left: 2 (220 enodes) 125.394 * * [simplify]: iters left: 1 (419 enodes) 125.607 * * [simplify]: Extracting #0: cost 1 inf + 0 125.607 * * [simplify]: Extracting #1: cost 25 inf + 0 125.607 * * [simplify]: Extracting #2: cost 111 inf + 2 125.608 * * [simplify]: Extracting #3: cost 170 inf + 176 125.609 * * [simplify]: Extracting #4: cost 168 inf + 561 125.611 * * [simplify]: Extracting #5: cost 110 inf + 10243 125.619 * * [simplify]: Extracting #6: cost 20 inf + 53289 125.636 * * [simplify]: Extracting #7: cost 0 inf + 63403 125.657 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 2)) 125.657 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/2))) 125.658 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 125.658 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) 125.658 * * [simplify]: iters left: 6 (15 enodes) 125.668 * * [simplify]: iters left: 5 (67 enodes) 125.691 * * [simplify]: iters left: 4 (125 enodes) 125.717 * * [simplify]: iters left: 3 (227 enodes) 125.808 * * [simplify]: iters left: 2 (461 enodes) 125.956 * * [simplify]: Extracting #0: cost 1 inf + 0 125.956 * * [simplify]: Extracting #1: cost 54 inf + 0 125.957 * * [simplify]: Extracting #2: cost 187 inf + 0 125.957 * * [simplify]: Extracting #3: cost 242 inf + 2 125.959 * * [simplify]: Extracting #4: cost 257 inf + 2467 125.964 * * [simplify]: Extracting #5: cost 161 inf + 42981 125.981 * * [simplify]: Extracting #6: cost 45 inf + 135884 126.022 * * [simplify]: Extracting #7: cost 10 inf + 165593 126.047 * * [simplify]: Extracting #8: cost 0 inf + 170645 126.073 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) 126.073 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))) (cbrt (pow k -1/2)))) 126.073 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 126.073 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (pow k -1/2))) 126.074 * * [simplify]: iters left: 6 (14 enodes) 126.082 * * [simplify]: iters left: 5 (62 enodes) 126.106 * * [simplify]: iters left: 4 (112 enodes) 126.134 * * [simplify]: iters left: 3 (192 enodes) 126.175 * * [simplify]: iters left: 2 (373 enodes) 126.314 * * [simplify]: Extracting #0: cost 1 inf + 0 126.315 * * [simplify]: Extracting #1: cost 33 inf + 0 126.315 * * [simplify]: Extracting #2: cost 109 inf + 0 126.316 * * [simplify]: Extracting #3: cost 163 inf + 2 126.318 * * [simplify]: Extracting #4: cost 182 inf + 1017 126.321 * * [simplify]: Extracting #5: cost 126 inf + 11254 126.332 * * [simplify]: Extracting #6: cost 57 inf + 45578 126.354 * * [simplify]: Extracting #7: cost 2 inf + 92995 126.378 * * [simplify]: Extracting #8: cost 0 inf + 94101 126.401 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (pow k -1/4))) 126.402 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (pow k -1/4))) (sqrt (pow k -1/2)))) 126.402 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 126.402 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) 126.402 * * [simplify]: iters left: 6 (11 enodes) 126.413 * * [simplify]: iters left: 5 (47 enodes) 126.430 * * [simplify]: iters left: 4 (82 enodes) 126.457 * * [simplify]: iters left: 3 (129 enodes) 126.482 * * [simplify]: iters left: 2 (240 enodes) 126.560 * * [simplify]: iters left: 1 (466 enodes) 126.821 * * [simplify]: Extracting #0: cost 1 inf + 0 126.821 * * [simplify]: Extracting #1: cost 25 inf + 0 126.822 * * [simplify]: Extracting #2: cost 118 inf + 2 126.823 * * [simplify]: Extracting #3: cost 177 inf + 176 126.825 * * [simplify]: Extracting #4: cost 165 inf + 1265 126.831 * * [simplify]: Extracting #5: cost 85 inf + 12534 126.836 * * [simplify]: Extracting #6: cost 40 inf + 35375 126.848 * * [simplify]: Extracting #7: cost 3 inf + 68656 126.860 * * [simplify]: Extracting #8: cost 0 inf + 70677 126.882 * * [simplify]: Extracting #9: cost 0 inf + 70337 126.901 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/2 (- 1 k))) 126.901 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/2 (- 1 k))) (pow k -1/2))) 126.901 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 126.901 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k (/ -1/2 2))) 126.901 * * [simplify]: iters left: 6 (14 enodes) 126.906 * * [simplify]: iters left: 5 (62 enodes) 126.922 * * [simplify]: iters left: 4 (122 enodes) 126.959 * * [simplify]: iters left: 3 (240 enodes) 127.472 * * [simplify]: Extracting #0: cost 1 inf + 0 127.472 * * [simplify]: Extracting #1: cost 36 inf + 0 127.473 * * [simplify]: Extracting #2: cost 118 inf + 0 127.474 * * [simplify]: Extracting #3: cost 146 inf + 6 127.475 * * [simplify]: Extracting #4: cost 136 inf + 1451 127.482 * * [simplify]: Extracting #5: cost 56 inf + 36063 127.499 * * [simplify]: Extracting #6: cost 4 inf + 66181 127.517 * * [simplify]: Extracting #7: cost 0 inf + 68900 127.539 * * [simplify]: Extracting #8: cost 0 inf + 68821 127.557 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/4)) 127.558 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow k -1/4)) (pow k (/ -1/2 2)))) 127.558 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 127.558 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow k -1/2)) 127.558 * * [simplify]: iters left: 6 (11 enodes) 127.566 * * [simplify]: iters left: 5 (50 enodes) 127.585 * * [simplify]: iters left: 4 (95 enodes) 127.625 * * [simplify]: iters left: 3 (208 enodes) 127.721 * * [simplify]: Extracting #0: cost 1 inf + 0 127.721 * * [simplify]: Extracting #1: cost 32 inf + 0 127.721 * * [simplify]: Extracting #2: cost 114 inf + 0 127.721 * * [simplify]: Extracting #3: cost 138 inf + 218 127.722 * * [simplify]: Extracting #4: cost 124 inf + 3929 127.724 * * [simplify]: Extracting #5: cost 73 inf + 20075 127.732 * * [simplify]: Extracting #6: cost 14 inf + 53854 127.744 * * [simplify]: Extracting #7: cost 0 inf + 64568 127.751 * [simplify]: Simplified to (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) 127.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))))) 127.751 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 127.751 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)) 127.752 * * [simplify]: iters left: 6 (14 enodes) 127.756 * * [simplify]: iters left: 5 (62 enodes) 127.772 * * [simplify]: iters left: 4 (111 enodes) 127.807 * * [simplify]: iters left: 3 (195 enodes) 127.850 * * [simplify]: iters left: 2 (358 enodes) 127.949 * * [simplify]: Extracting #0: cost 1 inf + 0 127.949 * * [simplify]: Extracting #1: cost 23 inf + 0 127.950 * * [simplify]: Extracting #2: cost 79 inf + 0 127.950 * * [simplify]: Extracting #3: cost 81 inf + 644 127.951 * * [simplify]: Extracting #4: cost 111 inf + 6388 127.952 * * [simplify]: Extracting #5: cost 126 inf + 13584 127.954 * * [simplify]: Extracting #6: cost 93 inf + 20543 127.964 * * [simplify]: Extracting #7: cost 40 inf + 40998 127.971 * * [simplify]: Extracting #8: cost 3 inf + 70948 127.980 * * [simplify]: Extracting #9: cost 0 inf + 73466 127.994 * [simplify]: Simplified to (* (pow k -1/2) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 127.994 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (pow k -1/2) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 127.994 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 127.995 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow k -1/2)) 127.995 * * [simplify]: iters left: 6 (14 enodes) 128.004 * * [simplify]: iters left: 5 (62 enodes) 128.027 * * [simplify]: iters left: 4 (112 enodes) 128.066 * * [simplify]: iters left: 3 (196 enodes) 128.121 * * [simplify]: iters left: 2 (365 enodes) 128.261 * * [simplify]: Extracting #0: cost 1 inf + 0 128.261 * * [simplify]: Extracting #1: cost 23 inf + 0 128.261 * * [simplify]: Extracting #2: cost 78 inf + 0 128.261 * * [simplify]: Extracting #3: cost 85 inf + 895 128.262 * * [simplify]: Extracting #4: cost 122 inf + 8279 128.264 * * [simplify]: Extracting #5: cost 130 inf + 12573 128.266 * * [simplify]: Extracting #6: cost 82 inf + 23655 128.274 * * [simplify]: Extracting #7: cost 9 inf + 66999 128.287 * * [simplify]: Extracting #8: cost 0 inf + 72900 128.301 * * [simplify]: Extracting #9: cost 0 inf + 72535 128.313 * [simplify]: Simplified to (* (pow k -1/2) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 128.313 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (pow k -1/2) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 128.313 * * * * [progress]: [ 105 / 118 ] simplifiying candidate # 128.314 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)) 128.314 * * [simplify]: iters left: 6 (13 enodes) 128.318 * * [simplify]: iters left: 5 (59 enodes) 128.332 * * [simplify]: iters left: 4 (116 enodes) 128.377 * * [simplify]: iters left: 3 (230 enodes) 128.487 * * [simplify]: Extracting #0: cost 1 inf + 0 128.487 * * [simplify]: Extracting #1: cost 32 inf + 0 128.488 * * [simplify]: Extracting #2: cost 114 inf + 0 128.489 * * [simplify]: Extracting #3: cost 141 inf + 218 128.490 * * [simplify]: Extracting #4: cost 121 inf + 4652 128.495 * * [simplify]: Extracting #5: cost 63 inf + 25598 128.506 * * [simplify]: Extracting #6: cost 21 inf + 52792 128.522 * * [simplify]: Extracting #7: cost 3 inf + 65935 128.539 * * [simplify]: Extracting #8: cost 0 inf + 68449 128.555 * [simplify]: Simplified to (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 128.555 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 128.555 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 128.555 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow k -1/2)) 128.556 * * [simplify]: iters left: 6 (14 enodes) 128.565 * * [simplify]: iters left: 5 (65 enodes) 128.594 * * [simplify]: iters left: 4 (125 enodes) 128.643 * * [simplify]: iters left: 3 (257 enodes) 128.743 * * [simplify]: Extracting #0: cost 1 inf + 0 128.743 * * [simplify]: Extracting #1: cost 32 inf + 0 128.744 * * [simplify]: Extracting #2: cost 113 inf + 0 128.745 * * [simplify]: Extracting #3: cost 145 inf + 218 128.746 * * [simplify]: Extracting #4: cost 132 inf + 3896 128.752 * * [simplify]: Extracting #5: cost 66 inf + 29275 128.764 * * [simplify]: Extracting #6: cost 16 inf + 56073 128.780 * * [simplify]: Extracting #7: cost 0 inf + 69169 128.789 * [simplify]: Simplified to (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) 128.789 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (pow k -1/2) (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))) 128.790 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 128.790 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (pow k -1/2)) 128.790 * * [simplify]: iters left: 6 (12 enodes) 128.795 * * [simplify]: iters left: 5 (52 enodes) 128.806 * * [simplify]: iters left: 4 (104 enodes) 128.850 * * [simplify]: iters left: 3 (223 enodes) 128.926 * * [simplify]: Extracting #0: cost 1 inf + 0 128.927 * * [simplify]: Extracting #1: cost 31 inf + 0 128.927 * * [simplify]: Extracting #2: cost 110 inf + 0 128.927 * * [simplify]: Extracting #3: cost 109 inf + 10 128.928 * * [simplify]: Extracting #4: cost 91 inf + 4017 128.930 * * [simplify]: Extracting #5: cost 39 inf + 27509 128.938 * * [simplify]: Extracting #6: cost 1 inf + 53867 128.948 * * [simplify]: Extracting #7: cost 0 inf + 54664 128.956 * [simplify]: Simplified to (* (sqrt (* (* PI 2) n)) (pow k -1/2)) 128.956 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow k -1/2)) (pow (* n (* 2 PI)) (/ k 2)))) 128.957 * * * * [progress]: [ 108 / 118 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2)))))> 128.957 * [simplify]: Simplifying (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 128.957 * * [simplify]: iters left: 6 (14 enodes) 128.962 * * [simplify]: iters left: 5 (59 enodes) 128.974 * * [simplify]: iters left: 4 (116 enodes) 129.001 * * [simplify]: iters left: 3 (230 enodes) 129.081 * * [simplify]: Extracting #0: cost 1 inf + 0 129.081 * * [simplify]: Extracting #1: cost 2 inf + 0 129.081 * * [simplify]: Extracting #2: cost 32 inf + 0 129.082 * * [simplify]: Extracting #3: cost 114 inf + 0 129.082 * * [simplify]: Extracting #4: cost 141 inf + 218 129.084 * * [simplify]: Extracting #5: cost 114 inf + 6582 129.089 * * [simplify]: Extracting #6: cost 69 inf + 22472 129.100 * * [simplify]: Extracting #7: cost 11 inf + 60200 129.116 * * [simplify]: Extracting #8: cost 0 inf + 69108 129.132 * [simplify]: Simplified to (real->posit16 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 129.132 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 129.132 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 129.132 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 129.133 * [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))))) 129.133 * * [simplify]: iters left: 6 (37 enodes) 129.160 * * [simplify]: iters left: 5 (190 enodes) 129.238 * * [simplify]: Extracting #0: cost 1 inf + 0 129.239 * * [simplify]: Extracting #1: cost 22 inf + 0 129.239 * * [simplify]: Extracting #2: cost 108 inf + 1 129.239 * * [simplify]: Extracting #3: cost 171 inf + 46 129.240 * * [simplify]: Extracting #4: cost 189 inf + 427 129.242 * * [simplify]: Extracting #5: cost 128 inf + 16032 129.251 * * [simplify]: Extracting #6: cost 29 inf + 57153 129.267 * * [simplify]: Extracting #7: cost 4 inf + 75884 129.292 * * [simplify]: Extracting #8: cost 0 inf + 78767 129.308 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 129.308 * [simplify]: Simplified (2 1) to (λ (k n) (* (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) (pow k -1/2))) 129.309 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 129.309 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 129.309 * * [simplify]: iters left: 6 (15 enodes) 129.317 * * [simplify]: iters left: 5 (65 enodes) 129.340 * * [simplify]: iters left: 4 (123 enodes) 129.393 * * [simplify]: iters left: 3 (368 enodes) 129.571 * * [simplify]: Extracting #0: cost 1 inf + 0 129.571 * * [simplify]: Extracting #1: cost 36 inf + 0 129.571 * * [simplify]: Extracting #2: cost 212 inf + 72 129.573 * * [simplify]: Extracting #3: cost 354 inf + 1211 129.577 * * [simplify]: Extracting #4: cost 217 inf + 27594 129.594 * * [simplify]: Extracting #5: cost 38 inf + 75123 129.613 * * [simplify]: Extracting #6: cost 0 inf + 89156 129.640 * * [simplify]: Extracting #7: cost 0 inf + 88700 129.657 * * [simplify]: Extracting #8: cost 0 inf + 88535 129.673 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 129.673 * [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))) 129.673 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 129.674 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 129.674 * * [simplify]: iters left: 6 (16 enodes) 129.680 * * [simplify]: iters left: 5 (67 enodes) 129.693 * * [simplify]: iters left: 4 (134 enodes) 129.724 * * [simplify]: iters left: 3 (413 enodes) 129.943 * * [simplify]: Extracting #0: cost 1 inf + 0 129.944 * * [simplify]: Extracting #1: cost 38 inf + 0 129.945 * * [simplify]: Extracting #2: cost 238 inf + 72 129.948 * * [simplify]: Extracting #3: cost 447 inf + 903 129.953 * * [simplify]: Extracting #4: cost 373 inf + 10375 129.972 * * [simplify]: Extracting #5: cost 155 inf + 66841 130.013 * * [simplify]: Extracting #6: cost 13 inf + 117310 130.051 * * [simplify]: Extracting #7: cost 0 inf + 120799 130.077 * * [simplify]: Extracting #8: cost 0 inf + 120798 130.106 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 130.106 * [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))) 130.106 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 130.106 * [simplify]: Simplifying (* 2 (* n PI)) 130.106 * * [simplify]: iters left: 4 (5 enodes) 130.108 * * [simplify]: iters left: 3 (19 enodes) 130.111 * * [simplify]: iters left: 2 (27 enodes) 130.115 * * [simplify]: iters left: 1 (32 enodes) 130.119 * * [simplify]: Extracting #0: cost 1 inf + 0 130.120 * * [simplify]: Extracting #1: cost 8 inf + 0 130.120 * * [simplify]: Extracting #2: cost 7 inf + 45 130.120 * * [simplify]: Extracting #3: cost 0 inf + 421 130.120 * [simplify]: Simplified to (* (* PI n) 2) 130.120 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 130.120 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 130.120 * [simplify]: Simplifying (* 2 (* n PI)) 130.120 * * [simplify]: iters left: 4 (5 enodes) 130.122 * * [simplify]: iters left: 3 (19 enodes) 130.124 * * [simplify]: iters left: 2 (27 enodes) 130.130 * * [simplify]: iters left: 1 (32 enodes) 130.138 * * [simplify]: Extracting #0: cost 1 inf + 0 130.138 * * [simplify]: Extracting #1: cost 8 inf + 0 130.138 * * [simplify]: Extracting #2: cost 7 inf + 45 130.138 * * [simplify]: Extracting #3: cost 0 inf + 421 130.139 * [simplify]: Simplified to (* (* PI n) 2) 130.139 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 130.139 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 130.139 * [simplify]: Simplifying (* 2 (* n PI)) 130.139 * * [simplify]: iters left: 4 (5 enodes) 130.142 * * [simplify]: iters left: 3 (19 enodes) 130.148 * * [simplify]: iters left: 2 (27 enodes) 130.156 * * [simplify]: iters left: 1 (32 enodes) 130.167 * * [simplify]: Extracting #0: cost 1 inf + 0 130.167 * * [simplify]: Extracting #1: cost 8 inf + 0 130.167 * * [simplify]: Extracting #2: cost 7 inf + 45 130.167 * * [simplify]: Extracting #3: cost 0 inf + 421 130.168 * [simplify]: Simplified to (* (* PI n) 2) 130.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (pow k -1/2))) 130.168 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 130.168 * [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)))))))))))))))))))))) 130.168 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 130.169 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 130.169 * [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)))))))) 130.169 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 130.169 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 130.170 * [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))))))) 130.170 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 130.170 * * * [progress]: adding candidates to table 131.520 * * [progress]: iteration 4 / 4 131.520 * * * [progress]: picking best candidate 131.542 * * * * [pick]: Picked # 131.542 * * * [progress]: localizing error 131.589 * * * [progress]: generating rewritten candidates 131.589 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 131.617 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 131.642 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 131.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 131.701 * * * [progress]: generating series expansions 131.701 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 131.701 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 131.701 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 131.702 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 131.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 131.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 131.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 131.702 * [taylor]: Taking taylor expansion of 1/2 in k 131.702 * [backup-simplify]: Simplify 1/2 into 1/2 131.702 * [taylor]: Taking taylor expansion of (- 1 k) in k 131.702 * [taylor]: Taking taylor expansion of 1 in k 131.702 * [backup-simplify]: Simplify 1 into 1 131.702 * [taylor]: Taking taylor expansion of k in k 131.702 * [backup-simplify]: Simplify 0 into 0 131.702 * [backup-simplify]: Simplify 1 into 1 131.702 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 131.702 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 131.702 * [taylor]: Taking taylor expansion of 2 in k 131.702 * [backup-simplify]: Simplify 2 into 2 131.702 * [taylor]: Taking taylor expansion of (* n PI) in k 131.702 * [taylor]: Taking taylor expansion of n in k 131.702 * [backup-simplify]: Simplify n into n 131.702 * [taylor]: Taking taylor expansion of PI in k 131.702 * [backup-simplify]: Simplify PI into PI 131.702 * [backup-simplify]: Simplify (* n PI) into (* n PI) 131.702 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 131.702 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 131.702 * [backup-simplify]: Simplify (- 0) into 0 131.703 * [backup-simplify]: Simplify (+ 1 0) into 1 131.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 131.703 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 131.703 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 131.703 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 131.703 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 131.703 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 131.703 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 131.703 * [taylor]: Taking taylor expansion of 1/2 in n 131.703 * [backup-simplify]: Simplify 1/2 into 1/2 131.703 * [taylor]: Taking taylor expansion of (- 1 k) in n 131.703 * [taylor]: Taking taylor expansion of 1 in n 131.703 * [backup-simplify]: Simplify 1 into 1 131.703 * [taylor]: Taking taylor expansion of k in n 131.703 * [backup-simplify]: Simplify k into k 131.703 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 131.703 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.703 * [taylor]: Taking taylor expansion of 2 in n 131.703 * [backup-simplify]: Simplify 2 into 2 131.703 * [taylor]: Taking taylor expansion of (* n PI) in n 131.703 * [taylor]: Taking taylor expansion of n in n 131.703 * [backup-simplify]: Simplify 0 into 0 131.703 * [backup-simplify]: Simplify 1 into 1 131.703 * [taylor]: Taking taylor expansion of PI in n 131.703 * [backup-simplify]: Simplify PI into PI 131.704 * [backup-simplify]: Simplify (* 0 PI) into 0 131.704 * [backup-simplify]: Simplify (* 2 0) into 0 131.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.706 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 131.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.706 * [backup-simplify]: Simplify (- k) into (- k) 131.706 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 131.706 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 131.707 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.708 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 131.709 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 131.709 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 131.709 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 131.709 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 131.709 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 131.709 * [taylor]: Taking taylor expansion of 1/2 in n 131.709 * [backup-simplify]: Simplify 1/2 into 1/2 131.709 * [taylor]: Taking taylor expansion of (- 1 k) in n 131.709 * [taylor]: Taking taylor expansion of 1 in n 131.709 * [backup-simplify]: Simplify 1 into 1 131.709 * [taylor]: Taking taylor expansion of k in n 131.709 * [backup-simplify]: Simplify k into k 131.709 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 131.709 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.709 * [taylor]: Taking taylor expansion of 2 in n 131.709 * [backup-simplify]: Simplify 2 into 2 131.709 * [taylor]: Taking taylor expansion of (* n PI) in n 131.709 * [taylor]: Taking taylor expansion of n in n 131.709 * [backup-simplify]: Simplify 0 into 0 131.709 * [backup-simplify]: Simplify 1 into 1 131.709 * [taylor]: Taking taylor expansion of PI in n 131.709 * [backup-simplify]: Simplify PI into PI 131.710 * [backup-simplify]: Simplify (* 0 PI) into 0 131.710 * [backup-simplify]: Simplify (* 2 0) into 0 131.711 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.712 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 131.712 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.712 * [backup-simplify]: Simplify (- k) into (- k) 131.713 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 131.713 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 131.713 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.714 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 131.715 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 131.715 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 131.715 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 131.715 * [taylor]: Taking taylor expansion of 1/2 in k 131.715 * [backup-simplify]: Simplify 1/2 into 1/2 131.715 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 131.715 * [taylor]: Taking taylor expansion of (- 1 k) in k 131.715 * [taylor]: Taking taylor expansion of 1 in k 131.715 * [backup-simplify]: Simplify 1 into 1 131.715 * [taylor]: Taking taylor expansion of k in k 131.715 * [backup-simplify]: Simplify 0 into 0 131.715 * [backup-simplify]: Simplify 1 into 1 131.715 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 131.715 * [taylor]: Taking taylor expansion of (log n) in k 131.715 * [taylor]: Taking taylor expansion of n in k 131.715 * [backup-simplify]: Simplify n into n 131.715 * [backup-simplify]: Simplify (log n) into (log n) 131.715 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 131.715 * [taylor]: Taking taylor expansion of (* 2 PI) in k 131.715 * [taylor]: Taking taylor expansion of 2 in k 131.715 * [backup-simplify]: Simplify 2 into 2 131.715 * [taylor]: Taking taylor expansion of PI in k 131.715 * [backup-simplify]: Simplify PI into PI 131.715 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.716 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.716 * [backup-simplify]: Simplify (- 0) into 0 131.717 * [backup-simplify]: Simplify (+ 1 0) into 1 131.717 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.718 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 131.719 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 131.720 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 131.721 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 131.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 131.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 131.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 131.725 * [backup-simplify]: Simplify (- 0) into 0 131.725 * [backup-simplify]: Simplify (+ 0 0) into 0 131.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 131.727 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 131.730 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.730 * [taylor]: Taking taylor expansion of 0 in k 131.730 * [backup-simplify]: Simplify 0 into 0 131.730 * [backup-simplify]: Simplify 0 into 0 131.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 131.732 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 131.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 131.734 * [backup-simplify]: Simplify (+ 0 0) into 0 131.735 * [backup-simplify]: Simplify (- 1) into -1 131.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 131.736 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 131.739 * [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))))) 131.740 * [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))))))) 131.742 * [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))))))) 131.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 131.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 131.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 131.746 * [backup-simplify]: Simplify (- 0) into 0 131.746 * [backup-simplify]: Simplify (+ 0 0) into 0 131.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 131.747 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.748 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 131.750 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.750 * [taylor]: Taking taylor expansion of 0 in k 131.750 * [backup-simplify]: Simplify 0 into 0 131.750 * [backup-simplify]: Simplify 0 into 0 131.750 * [backup-simplify]: Simplify 0 into 0 131.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 131.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 131.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 131.754 * [backup-simplify]: Simplify (+ 0 0) into 0 131.754 * [backup-simplify]: Simplify (- 0) into 0 131.754 * [backup-simplify]: Simplify (+ 0 0) into 0 131.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 131.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 131.759 * [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))))) 131.762 * [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))))) 131.767 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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))))) 131.768 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 131.768 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 131.768 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 131.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 131.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 131.768 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 131.768 * [taylor]: Taking taylor expansion of 1/2 in k 131.768 * [backup-simplify]: Simplify 1/2 into 1/2 131.768 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 131.768 * [taylor]: Taking taylor expansion of 1 in k 131.768 * [backup-simplify]: Simplify 1 into 1 131.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 131.768 * [taylor]: Taking taylor expansion of k in k 131.768 * [backup-simplify]: Simplify 0 into 0 131.768 * [backup-simplify]: Simplify 1 into 1 131.768 * [backup-simplify]: Simplify (/ 1 1) into 1 131.768 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 131.768 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 131.768 * [taylor]: Taking taylor expansion of 2 in k 131.768 * [backup-simplify]: Simplify 2 into 2 131.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 131.768 * [taylor]: Taking taylor expansion of PI in k 131.768 * [backup-simplify]: Simplify PI into PI 131.768 * [taylor]: Taking taylor expansion of n in k 131.768 * [backup-simplify]: Simplify n into n 131.768 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 131.768 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 131.768 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 131.769 * [backup-simplify]: Simplify (- 1) into -1 131.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 131.769 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 131.769 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 131.769 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 131.769 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 131.770 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 131.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 131.770 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 131.770 * [taylor]: Taking taylor expansion of 1/2 in n 131.770 * [backup-simplify]: Simplify 1/2 into 1/2 131.770 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 131.770 * [taylor]: Taking taylor expansion of 1 in n 131.770 * [backup-simplify]: Simplify 1 into 1 131.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 131.770 * [taylor]: Taking taylor expansion of k in n 131.770 * [backup-simplify]: Simplify k into k 131.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 131.770 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 131.770 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 131.770 * [taylor]: Taking taylor expansion of 2 in n 131.770 * [backup-simplify]: Simplify 2 into 2 131.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.770 * [taylor]: Taking taylor expansion of PI in n 131.770 * [backup-simplify]: Simplify PI into PI 131.770 * [taylor]: Taking taylor expansion of n in n 131.770 * [backup-simplify]: Simplify 0 into 0 131.770 * [backup-simplify]: Simplify 1 into 1 131.770 * [backup-simplify]: Simplify (/ PI 1) into PI 131.770 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.771 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.771 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 131.771 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 131.771 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 131.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 131.773 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 131.773 * [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))))) 131.773 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 131.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 131.774 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 131.774 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 131.774 * [taylor]: Taking taylor expansion of 1/2 in n 131.774 * [backup-simplify]: Simplify 1/2 into 1/2 131.774 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 131.774 * [taylor]: Taking taylor expansion of 1 in n 131.774 * [backup-simplify]: Simplify 1 into 1 131.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 131.774 * [taylor]: Taking taylor expansion of k in n 131.774 * [backup-simplify]: Simplify k into k 131.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 131.774 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 131.774 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 131.774 * [taylor]: Taking taylor expansion of 2 in n 131.774 * [backup-simplify]: Simplify 2 into 2 131.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.774 * [taylor]: Taking taylor expansion of PI in n 131.774 * [backup-simplify]: Simplify PI into PI 131.774 * [taylor]: Taking taylor expansion of n in n 131.774 * [backup-simplify]: Simplify 0 into 0 131.774 * [backup-simplify]: Simplify 1 into 1 131.774 * [backup-simplify]: Simplify (/ PI 1) into PI 131.774 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.775 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 131.775 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 131.775 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 131.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 131.777 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 131.777 * [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))))) 131.777 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 131.778 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 131.778 * [taylor]: Taking taylor expansion of 1/2 in k 131.778 * [backup-simplify]: Simplify 1/2 into 1/2 131.778 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 131.778 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 131.778 * [taylor]: Taking taylor expansion of 1 in k 131.778 * [backup-simplify]: Simplify 1 into 1 131.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 131.778 * [taylor]: Taking taylor expansion of k in k 131.778 * [backup-simplify]: Simplify 0 into 0 131.778 * [backup-simplify]: Simplify 1 into 1 131.778 * [backup-simplify]: Simplify (/ 1 1) into 1 131.778 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 131.778 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 131.778 * [taylor]: Taking taylor expansion of (* 2 PI) in k 131.778 * [taylor]: Taking taylor expansion of 2 in k 131.778 * [backup-simplify]: Simplify 2 into 2 131.778 * [taylor]: Taking taylor expansion of PI in k 131.778 * [backup-simplify]: Simplify PI into PI 131.778 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.779 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.779 * [taylor]: Taking taylor expansion of (log n) in k 131.779 * [taylor]: Taking taylor expansion of n in k 131.779 * [backup-simplify]: Simplify n into n 131.779 * [backup-simplify]: Simplify (log n) into (log n) 131.779 * [backup-simplify]: Simplify (- 1) into -1 131.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 131.780 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 131.780 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 131.781 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 131.782 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 131.782 * [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))))) 131.783 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 131.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 131.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 131.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 131.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 131.785 * [backup-simplify]: Simplify (- 0) into 0 131.786 * [backup-simplify]: Simplify (+ 0 0) into 0 131.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 131.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 131.787 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 131.789 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.789 * [taylor]: Taking taylor expansion of 0 in k 131.789 * [backup-simplify]: Simplify 0 into 0 131.789 * [backup-simplify]: Simplify 0 into 0 131.789 * [backup-simplify]: Simplify 0 into 0 131.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 131.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 131.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 131.797 * [backup-simplify]: Simplify (- 0) into 0 131.797 * [backup-simplify]: Simplify (+ 0 0) into 0 131.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 131.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 131.800 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 131.803 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.803 * [taylor]: Taking taylor expansion of 0 in k 131.803 * [backup-simplify]: Simplify 0 into 0 131.803 * [backup-simplify]: Simplify 0 into 0 131.803 * [backup-simplify]: Simplify 0 into 0 131.803 * [backup-simplify]: Simplify 0 into 0 131.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 131.807 * [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 0 131.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 131.808 * [backup-simplify]: Simplify (- 0) into 0 131.808 * [backup-simplify]: Simplify (+ 0 0) into 0 131.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 131.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 131.811 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 131.813 * [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 0 131.813 * [taylor]: Taking taylor expansion of 0 in k 131.813 * [backup-simplify]: Simplify 0 into 0 131.813 * [backup-simplify]: Simplify 0 into 0 131.813 * [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)))))) 131.814 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 131.814 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 131.814 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 131.814 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 131.814 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 131.814 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 131.814 * [taylor]: Taking taylor expansion of 1/2 in k 131.814 * [backup-simplify]: Simplify 1/2 into 1/2 131.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 131.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 131.814 * [taylor]: Taking taylor expansion of k in k 131.814 * [backup-simplify]: Simplify 0 into 0 131.814 * [backup-simplify]: Simplify 1 into 1 131.814 * [backup-simplify]: Simplify (/ 1 1) into 1 131.814 * [taylor]: Taking taylor expansion of 1 in k 131.814 * [backup-simplify]: Simplify 1 into 1 131.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 131.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 131.814 * [taylor]: Taking taylor expansion of -2 in k 131.814 * [backup-simplify]: Simplify -2 into -2 131.814 * [taylor]: Taking taylor expansion of (/ PI n) in k 131.814 * [taylor]: Taking taylor expansion of PI in k 131.814 * [backup-simplify]: Simplify PI into PI 131.815 * [taylor]: Taking taylor expansion of n in k 131.815 * [backup-simplify]: Simplify n into n 131.815 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 131.815 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 131.815 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 131.815 * [backup-simplify]: Simplify (+ 1 0) into 1 131.815 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 131.815 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 131.815 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 131.815 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 131.815 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 131.815 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 131.816 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 131.816 * [taylor]: Taking taylor expansion of 1/2 in n 131.816 * [backup-simplify]: Simplify 1/2 into 1/2 131.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 131.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 131.816 * [taylor]: Taking taylor expansion of k in n 131.816 * [backup-simplify]: Simplify k into k 131.816 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 131.816 * [taylor]: Taking taylor expansion of 1 in n 131.816 * [backup-simplify]: Simplify 1 into 1 131.816 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 131.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 131.816 * [taylor]: Taking taylor expansion of -2 in n 131.816 * [backup-simplify]: Simplify -2 into -2 131.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.816 * [taylor]: Taking taylor expansion of PI in n 131.816 * [backup-simplify]: Simplify PI into PI 131.816 * [taylor]: Taking taylor expansion of n in n 131.816 * [backup-simplify]: Simplify 0 into 0 131.816 * [backup-simplify]: Simplify 1 into 1 131.816 * [backup-simplify]: Simplify (/ PI 1) into PI 131.816 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 131.817 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 131.817 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 131.817 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 131.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 131.819 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 131.819 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 131.819 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 131.819 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 131.819 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 131.819 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 131.819 * [taylor]: Taking taylor expansion of 1/2 in n 131.819 * [backup-simplify]: Simplify 1/2 into 1/2 131.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 131.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 131.819 * [taylor]: Taking taylor expansion of k in n 131.819 * [backup-simplify]: Simplify k into k 131.820 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 131.820 * [taylor]: Taking taylor expansion of 1 in n 131.820 * [backup-simplify]: Simplify 1 into 1 131.820 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 131.820 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 131.820 * [taylor]: Taking taylor expansion of -2 in n 131.820 * [backup-simplify]: Simplify -2 into -2 131.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.820 * [taylor]: Taking taylor expansion of PI in n 131.820 * [backup-simplify]: Simplify PI into PI 131.820 * [taylor]: Taking taylor expansion of n in n 131.820 * [backup-simplify]: Simplify 0 into 0 131.820 * [backup-simplify]: Simplify 1 into 1 131.820 * [backup-simplify]: Simplify (/ PI 1) into PI 131.820 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 131.821 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 131.821 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 131.821 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 131.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 131.822 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 131.823 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 131.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 131.823 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 131.823 * [taylor]: Taking taylor expansion of 1/2 in k 131.823 * [backup-simplify]: Simplify 1/2 into 1/2 131.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 131.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 131.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 131.823 * [taylor]: Taking taylor expansion of k in k 131.823 * [backup-simplify]: Simplify 0 into 0 131.823 * [backup-simplify]: Simplify 1 into 1 131.824 * [backup-simplify]: Simplify (/ 1 1) into 1 131.824 * [taylor]: Taking taylor expansion of 1 in k 131.824 * [backup-simplify]: Simplify 1 into 1 131.824 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 131.824 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 131.824 * [taylor]: Taking taylor expansion of (* -2 PI) in k 131.824 * [taylor]: Taking taylor expansion of -2 in k 131.824 * [backup-simplify]: Simplify -2 into -2 131.824 * [taylor]: Taking taylor expansion of PI in k 131.824 * [backup-simplify]: Simplify PI into PI 131.824 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 131.825 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 131.825 * [taylor]: Taking taylor expansion of (log n) in k 131.825 * [taylor]: Taking taylor expansion of n in k 131.825 * [backup-simplify]: Simplify n into n 131.825 * [backup-simplify]: Simplify (log n) into (log n) 131.825 * [backup-simplify]: Simplify (+ 1 0) into 1 131.825 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 131.826 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 131.826 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 131.827 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 131.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 131.828 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 131.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 131.829 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 131.830 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 131.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 131.831 * [backup-simplify]: Simplify (+ 0 0) into 0 131.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 131.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 131.832 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 131.833 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 131.834 * [taylor]: Taking taylor expansion of 0 in k 131.834 * [backup-simplify]: Simplify 0 into 0 131.834 * [backup-simplify]: Simplify 0 into 0 131.834 * [backup-simplify]: Simplify 0 into 0 131.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.835 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 131.837 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 131.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 131.837 * [backup-simplify]: Simplify (+ 0 0) into 0 131.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 131.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 131.840 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 131.841 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 131.841 * [taylor]: Taking taylor expansion of 0 in k 131.841 * [backup-simplify]: Simplify 0 into 0 131.841 * [backup-simplify]: Simplify 0 into 0 131.841 * [backup-simplify]: Simplify 0 into 0 131.841 * [backup-simplify]: Simplify 0 into 0 131.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.842 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 131.848 * [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 0 131.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 131.849 * [backup-simplify]: Simplify (+ 0 0) into 0 131.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 131.851 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 131.853 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 131.856 * [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 0 131.856 * [taylor]: Taking taylor expansion of 0 in k 131.856 * [backup-simplify]: Simplify 0 into 0 131.856 * [backup-simplify]: Simplify 0 into 0 131.858 * [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)))))) 131.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 131.858 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 131.858 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 131.858 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.858 * [taylor]: Taking taylor expansion of 2 in n 131.858 * [backup-simplify]: Simplify 2 into 2 131.858 * [taylor]: Taking taylor expansion of (* n PI) in n 131.858 * [taylor]: Taking taylor expansion of n in n 131.858 * [backup-simplify]: Simplify 0 into 0 131.858 * [backup-simplify]: Simplify 1 into 1 131.858 * [taylor]: Taking taylor expansion of PI in n 131.858 * [backup-simplify]: Simplify PI into PI 131.858 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.858 * [taylor]: Taking taylor expansion of 2 in n 131.859 * [backup-simplify]: Simplify 2 into 2 131.859 * [taylor]: Taking taylor expansion of (* n PI) in n 131.859 * [taylor]: Taking taylor expansion of n in n 131.859 * [backup-simplify]: Simplify 0 into 0 131.859 * [backup-simplify]: Simplify 1 into 1 131.859 * [taylor]: Taking taylor expansion of PI in n 131.859 * [backup-simplify]: Simplify PI into PI 131.859 * [backup-simplify]: Simplify (* 0 PI) into 0 131.860 * [backup-simplify]: Simplify (* 2 0) into 0 131.860 * [backup-simplify]: Simplify 0 into 0 131.861 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.863 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 131.863 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 131.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 131.865 * [backup-simplify]: Simplify 0 into 0 131.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 131.868 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 131.868 * [backup-simplify]: Simplify 0 into 0 131.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 131.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 131.870 * [backup-simplify]: Simplify 0 into 0 131.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 131.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 131.873 * [backup-simplify]: Simplify 0 into 0 131.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 131.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 131.877 * [backup-simplify]: Simplify 0 into 0 131.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 131.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 131.881 * [backup-simplify]: Simplify 0 into 0 131.881 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 131.882 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 131.882 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 131.882 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 131.882 * [taylor]: Taking taylor expansion of 2 in n 131.882 * [backup-simplify]: Simplify 2 into 2 131.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.882 * [taylor]: Taking taylor expansion of PI in n 131.882 * [backup-simplify]: Simplify PI into PI 131.882 * [taylor]: Taking taylor expansion of n in n 131.882 * [backup-simplify]: Simplify 0 into 0 131.882 * [backup-simplify]: Simplify 1 into 1 131.883 * [backup-simplify]: Simplify (/ PI 1) into PI 131.883 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 131.883 * [taylor]: Taking taylor expansion of 2 in n 131.883 * [backup-simplify]: Simplify 2 into 2 131.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.883 * [taylor]: Taking taylor expansion of PI in n 131.883 * [backup-simplify]: Simplify PI into PI 131.883 * [taylor]: Taking taylor expansion of n in n 131.883 * [backup-simplify]: Simplify 0 into 0 131.883 * [backup-simplify]: Simplify 1 into 1 131.883 * [backup-simplify]: Simplify (/ PI 1) into PI 131.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.884 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 131.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 131.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 131.886 * [backup-simplify]: Simplify 0 into 0 131.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 131.888 * [backup-simplify]: Simplify 0 into 0 131.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 131.890 * [backup-simplify]: Simplify 0 into 0 131.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 131.892 * [backup-simplify]: Simplify 0 into 0 131.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 131.893 * [backup-simplify]: Simplify 0 into 0 131.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 131.895 * [backup-simplify]: Simplify 0 into 0 131.895 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 131.896 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 131.896 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 131.896 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 131.896 * [taylor]: Taking taylor expansion of -2 in n 131.896 * [backup-simplify]: Simplify -2 into -2 131.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.896 * [taylor]: Taking taylor expansion of PI in n 131.896 * [backup-simplify]: Simplify PI into PI 131.896 * [taylor]: Taking taylor expansion of n in n 131.896 * [backup-simplify]: Simplify 0 into 0 131.896 * [backup-simplify]: Simplify 1 into 1 131.896 * [backup-simplify]: Simplify (/ PI 1) into PI 131.896 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 131.896 * [taylor]: Taking taylor expansion of -2 in n 131.896 * [backup-simplify]: Simplify -2 into -2 131.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 131.896 * [taylor]: Taking taylor expansion of PI in n 131.896 * [backup-simplify]: Simplify PI into PI 131.896 * [taylor]: Taking taylor expansion of n in n 131.896 * [backup-simplify]: Simplify 0 into 0 131.896 * [backup-simplify]: Simplify 1 into 1 131.897 * [backup-simplify]: Simplify (/ PI 1) into PI 131.897 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 131.897 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 131.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 131.898 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 131.898 * [backup-simplify]: Simplify 0 into 0 131.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.899 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 131.899 * [backup-simplify]: Simplify 0 into 0 131.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.901 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 131.901 * [backup-simplify]: Simplify 0 into 0 131.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.902 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 131.902 * [backup-simplify]: Simplify 0 into 0 131.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.904 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 131.904 * [backup-simplify]: Simplify 0 into 0 131.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 131.909 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 131.909 * [backup-simplify]: Simplify 0 into 0 131.910 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 131.910 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 131.911 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) 131.911 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0 131.911 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n 131.911 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 131.911 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 131.911 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 131.911 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 131.911 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 131.911 * [taylor]: Taking taylor expansion of 1/2 in n 131.911 * [backup-simplify]: Simplify 1/2 into 1/2 131.911 * [taylor]: Taking taylor expansion of (- 1 k) in n 131.911 * [taylor]: Taking taylor expansion of 1 in n 131.911 * [backup-simplify]: Simplify 1 into 1 131.911 * [taylor]: Taking taylor expansion of k in n 131.911 * [backup-simplify]: Simplify k into k 131.911 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 131.911 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.911 * [taylor]: Taking taylor expansion of 2 in n 131.911 * [backup-simplify]: Simplify 2 into 2 131.911 * [taylor]: Taking taylor expansion of (* n PI) in n 131.911 * [taylor]: Taking taylor expansion of n in n 131.911 * [backup-simplify]: Simplify 0 into 0 131.911 * [backup-simplify]: Simplify 1 into 1 131.911 * [taylor]: Taking taylor expansion of PI in n 131.911 * [backup-simplify]: Simplify PI into PI 131.912 * [backup-simplify]: Simplify (* 0 PI) into 0 131.912 * [backup-simplify]: Simplify (* 2 0) into 0 131.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.914 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 131.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.914 * [backup-simplify]: Simplify (- k) into (- k) 131.914 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 131.914 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 131.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.916 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 131.917 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 131.917 * [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))))))) 131.917 * [taylor]: Taking taylor expansion of (sqrt k) in n 131.917 * [taylor]: Taking taylor expansion of k in n 131.917 * [backup-simplify]: Simplify k into k 131.917 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 131.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 131.917 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 131.917 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 131.917 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 131.917 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 131.917 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 131.918 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 131.918 * [taylor]: Taking taylor expansion of 1/2 in k 131.918 * [backup-simplify]: Simplify 1/2 into 1/2 131.918 * [taylor]: Taking taylor expansion of (- 1 k) in k 131.918 * [taylor]: Taking taylor expansion of 1 in k 131.918 * [backup-simplify]: Simplify 1 into 1 131.918 * [taylor]: Taking taylor expansion of k in k 131.918 * [backup-simplify]: Simplify 0 into 0 131.918 * [backup-simplify]: Simplify 1 into 1 131.918 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 131.918 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 131.918 * [taylor]: Taking taylor expansion of 2 in k 131.918 * [backup-simplify]: Simplify 2 into 2 131.918 * [taylor]: Taking taylor expansion of (* n PI) in k 131.918 * [taylor]: Taking taylor expansion of n in k 131.918 * [backup-simplify]: Simplify n into n 131.918 * [taylor]: Taking taylor expansion of PI in k 131.918 * [backup-simplify]: Simplify PI into PI 131.918 * [backup-simplify]: Simplify (* n PI) into (* n PI) 131.918 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 131.918 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 131.918 * [backup-simplify]: Simplify (- 0) into 0 131.918 * [backup-simplify]: Simplify (+ 1 0) into 1 131.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 131.919 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 131.919 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 131.919 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 131.919 * [taylor]: Taking taylor expansion of (sqrt k) in k 131.919 * [taylor]: Taking taylor expansion of k in k 131.919 * [backup-simplify]: Simplify 0 into 0 131.919 * [backup-simplify]: Simplify 1 into 1 131.920 * [backup-simplify]: Simplify (sqrt 0) into 0 131.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 131.921 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k 131.921 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 131.922 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 131.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 131.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 131.922 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 131.922 * [taylor]: Taking taylor expansion of 1/2 in k 131.922 * [backup-simplify]: Simplify 1/2 into 1/2 131.922 * [taylor]: Taking taylor expansion of (- 1 k) in k 131.922 * [taylor]: Taking taylor expansion of 1 in k 131.922 * [backup-simplify]: Simplify 1 into 1 131.922 * [taylor]: Taking taylor expansion of k in k 131.922 * [backup-simplify]: Simplify 0 into 0 131.922 * [backup-simplify]: Simplify 1 into 1 131.922 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 131.922 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 131.922 * [taylor]: Taking taylor expansion of 2 in k 131.922 * [backup-simplify]: Simplify 2 into 2 131.922 * [taylor]: Taking taylor expansion of (* n PI) in k 131.922 * [taylor]: Taking taylor expansion of n in k 131.922 * [backup-simplify]: Simplify n into n 131.922 * [taylor]: Taking taylor expansion of PI in k 131.922 * [backup-simplify]: Simplify PI into PI 131.922 * [backup-simplify]: Simplify (* n PI) into (* n PI) 131.922 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 131.922 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 131.923 * [backup-simplify]: Simplify (- 0) into 0 131.923 * [backup-simplify]: Simplify (+ 1 0) into 1 131.924 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 131.924 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 131.924 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 131.924 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 131.924 * [taylor]: Taking taylor expansion of (sqrt k) in k 131.924 * [taylor]: Taking taylor expansion of k in k 131.924 * [backup-simplify]: Simplify 0 into 0 131.924 * [backup-simplify]: Simplify 1 into 1 131.925 * [backup-simplify]: Simplify (sqrt 0) into 0 131.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 131.926 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 131.926 * [taylor]: Taking taylor expansion of 0 in n 131.926 * [backup-simplify]: Simplify 0 into 0 131.926 * [backup-simplify]: Simplify 0 into 0 131.927 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 131.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 131.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 131.928 * [backup-simplify]: Simplify (- 1) into -1 131.929 * [backup-simplify]: Simplify (+ 0 -1) into -1 131.930 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 131.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 131.931 * [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))))) 131.931 * [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))))) 131.933 * [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)))) 131.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 131.933 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 131.933 * [taylor]: Taking taylor expansion of +nan.0 in n 131.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 131.934 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 131.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 131.934 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 131.934 * [taylor]: Taking taylor expansion of (* n PI) in n 131.934 * [taylor]: Taking taylor expansion of n in n 131.934 * [backup-simplify]: Simplify 0 into 0 131.934 * [backup-simplify]: Simplify 1 into 1 131.934 * [taylor]: Taking taylor expansion of PI in n 131.934 * [backup-simplify]: Simplify PI into PI 131.934 * [backup-simplify]: Simplify (* 0 PI) into 0 131.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.936 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 131.936 * [backup-simplify]: Simplify (sqrt 0) into 0 131.938 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 131.939 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 131.939 * [taylor]: Taking taylor expansion of 1/2 in n 131.939 * [backup-simplify]: Simplify 1/2 into 1/2 131.939 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 131.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 131.943 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 131.944 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 131.948 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 131.950 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 131.952 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 131.952 * [backup-simplify]: Simplify 0 into 0 131.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 131.954 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 131.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 131.956 * [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 0 131.956 * [backup-simplify]: Simplify (- 0) into 0 131.956 * [backup-simplify]: Simplify (+ 0 0) into 0 131.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 131.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 131.958 * [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))) 131.960 * [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)))))) 131.963 * [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)))))) 131.964 * [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 131.964 * [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 131.964 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 131.964 * [taylor]: Taking taylor expansion of +nan.0 in n 131.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 131.964 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 131.964 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 131.964 * [taylor]: Taking taylor expansion of (sqrt 2) in n 131.964 * [taylor]: Taking taylor expansion of 2 in n 131.964 * [backup-simplify]: Simplify 2 into 2 131.964 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 131.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 131.964 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 131.964 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 131.964 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 131.965 * [taylor]: Taking taylor expansion of 2 in n 131.965 * [backup-simplify]: Simplify 2 into 2 131.965 * [taylor]: Taking taylor expansion of (* n PI) in n 131.965 * [taylor]: Taking taylor expansion of n in n 131.965 * [backup-simplify]: Simplify 0 into 0 131.965 * [backup-simplify]: Simplify 1 into 1 131.965 * [taylor]: Taking taylor expansion of PI in n 131.965 * [backup-simplify]: Simplify PI into PI 131.965 * [backup-simplify]: Simplify (* 0 PI) into 0 131.965 * [backup-simplify]: Simplify (* 2 0) into 0 131.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.967 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 131.968 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 131.968 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 131.968 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 131.968 * [taylor]: Taking taylor expansion of 1/2 in n 131.968 * [backup-simplify]: Simplify 1/2 into 1/2 131.968 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 131.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 131.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 131.969 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 131.969 * [taylor]: Taking taylor expansion of (* n PI) in n 131.969 * [taylor]: Taking taylor expansion of n in n 131.969 * [backup-simplify]: Simplify 0 into 0 131.969 * [backup-simplify]: Simplify 1 into 1 131.969 * [taylor]: Taking taylor expansion of PI in n 131.969 * [backup-simplify]: Simplify PI into PI 131.969 * [backup-simplify]: Simplify (* 0 PI) into 0 131.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.970 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 131.970 * [backup-simplify]: Simplify (sqrt 0) into 0 131.972 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 131.972 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 131.972 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 131.972 * [taylor]: Taking taylor expansion of +nan.0 in n 131.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 131.972 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 131.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 131.972 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 131.972 * [taylor]: Taking taylor expansion of (* n PI) in n 131.972 * [taylor]: Taking taylor expansion of n in n 131.972 * [backup-simplify]: Simplify 0 into 0 131.972 * [backup-simplify]: Simplify 1 into 1 131.972 * [taylor]: Taking taylor expansion of PI in n 131.972 * [backup-simplify]: Simplify PI into PI 131.972 * [backup-simplify]: Simplify (* 0 PI) into 0 131.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 131.973 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 131.974 * [backup-simplify]: Simplify (sqrt 0) into 0 131.975 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 131.975 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n 131.975 * [taylor]: Taking taylor expansion of 1/2 in n 131.975 * [backup-simplify]: Simplify 1/2 into 1/2 131.975 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 131.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 131.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.979 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 131.981 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 131.983 * [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))))) 131.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 131.985 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 131.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 131.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 131.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 131.990 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 131.992 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 131.994 * [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))))) 131.995 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 132.003 * [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))))) 132.004 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 132.005 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 132.008 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 132.010 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 132.026 * [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))))))) 132.046 * [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))))))) 132.065 * [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))))))) 132.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 132.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 132.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 132.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 132.080 * [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)))) 132.089 * [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)))) 132.094 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 132.096 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 132.111 * [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))))))))))) 132.112 * [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))) 132.112 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 132.112 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n 132.112 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 132.112 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 132.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 132.112 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 132.112 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 132.112 * [taylor]: Taking taylor expansion of 1/2 in n 132.112 * [backup-simplify]: Simplify 1/2 into 1/2 132.112 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.112 * [taylor]: Taking taylor expansion of 1 in n 132.112 * [backup-simplify]: Simplify 1 into 1 132.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.112 * [taylor]: Taking taylor expansion of k in n 132.112 * [backup-simplify]: Simplify k into k 132.112 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.112 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.112 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.112 * [taylor]: Taking taylor expansion of 2 in n 132.112 * [backup-simplify]: Simplify 2 into 2 132.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.112 * [taylor]: Taking taylor expansion of PI in n 132.112 * [backup-simplify]: Simplify PI into PI 132.112 * [taylor]: Taking taylor expansion of n in n 132.112 * [backup-simplify]: Simplify 0 into 0 132.112 * [backup-simplify]: Simplify 1 into 1 132.113 * [backup-simplify]: Simplify (/ PI 1) into PI 132.113 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.114 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.114 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.114 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.114 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 132.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.115 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.116 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 132.117 * [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)))))) 132.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 132.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.117 * [taylor]: Taking taylor expansion of k in n 132.117 * [backup-simplify]: Simplify k into k 132.117 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.117 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 132.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 132.117 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 132.117 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 132.117 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 132.117 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 132.117 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 132.117 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 132.117 * [taylor]: Taking taylor expansion of 1/2 in k 132.117 * [backup-simplify]: Simplify 1/2 into 1/2 132.117 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 132.117 * [taylor]: Taking taylor expansion of 1 in k 132.117 * [backup-simplify]: Simplify 1 into 1 132.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.117 * [taylor]: Taking taylor expansion of k in k 132.117 * [backup-simplify]: Simplify 0 into 0 132.117 * [backup-simplify]: Simplify 1 into 1 132.117 * [backup-simplify]: Simplify (/ 1 1) into 1 132.117 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 132.117 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 132.117 * [taylor]: Taking taylor expansion of 2 in k 132.117 * [backup-simplify]: Simplify 2 into 2 132.118 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.118 * [taylor]: Taking taylor expansion of PI in k 132.118 * [backup-simplify]: Simplify PI into PI 132.118 * [taylor]: Taking taylor expansion of n in k 132.118 * [backup-simplify]: Simplify n into n 132.118 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.118 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 132.118 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 132.118 * [backup-simplify]: Simplify (- 1) into -1 132.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 132.119 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 132.119 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 132.119 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 132.119 * [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))))))) 132.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 132.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.119 * [taylor]: Taking taylor expansion of k in k 132.119 * [backup-simplify]: Simplify 0 into 0 132.119 * [backup-simplify]: Simplify 1 into 1 132.119 * [backup-simplify]: Simplify (/ 1 1) into 1 132.119 * [backup-simplify]: Simplify (sqrt 0) into 0 132.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.120 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 132.120 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 132.120 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 132.120 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 132.120 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 132.120 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 132.120 * [taylor]: Taking taylor expansion of 1/2 in k 132.120 * [backup-simplify]: Simplify 1/2 into 1/2 132.120 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 132.120 * [taylor]: Taking taylor expansion of 1 in k 132.120 * [backup-simplify]: Simplify 1 into 1 132.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.120 * [taylor]: Taking taylor expansion of k in k 132.120 * [backup-simplify]: Simplify 0 into 0 132.121 * [backup-simplify]: Simplify 1 into 1 132.121 * [backup-simplify]: Simplify (/ 1 1) into 1 132.121 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 132.121 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 132.121 * [taylor]: Taking taylor expansion of 2 in k 132.121 * [backup-simplify]: Simplify 2 into 2 132.121 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.121 * [taylor]: Taking taylor expansion of PI in k 132.121 * [backup-simplify]: Simplify PI into PI 132.121 * [taylor]: Taking taylor expansion of n in k 132.121 * [backup-simplify]: Simplify n into n 132.121 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.121 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 132.121 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 132.121 * [backup-simplify]: Simplify (- 1) into -1 132.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 132.122 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 132.122 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 132.122 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 132.122 * [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))))))) 132.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 132.122 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.122 * [taylor]: Taking taylor expansion of k in k 132.122 * [backup-simplify]: Simplify 0 into 0 132.122 * [backup-simplify]: Simplify 1 into 1 132.123 * [backup-simplify]: Simplify (/ 1 1) into 1 132.123 * [backup-simplify]: Simplify (sqrt 0) into 0 132.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.124 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0 132.124 * [taylor]: Taking taylor expansion of 0 in n 132.124 * [backup-simplify]: Simplify 0 into 0 132.124 * [backup-simplify]: Simplify 0 into 0 132.125 * [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 0 132.125 * [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))))))))) 132.125 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 132.125 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.125 * [taylor]: Taking taylor expansion of +nan.0 in n 132.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.125 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.125 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.125 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.125 * [taylor]: Taking taylor expansion of 1/2 in n 132.125 * [backup-simplify]: Simplify 1/2 into 1/2 132.125 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.125 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.125 * [taylor]: Taking taylor expansion of 1 in n 132.125 * [backup-simplify]: Simplify 1 into 1 132.125 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.125 * [taylor]: Taking taylor expansion of k in n 132.125 * [backup-simplify]: Simplify k into k 132.125 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.125 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.125 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.125 * [taylor]: Taking taylor expansion of 2 in n 132.125 * [backup-simplify]: Simplify 2 into 2 132.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.126 * [taylor]: Taking taylor expansion of PI in n 132.126 * [backup-simplify]: Simplify PI into PI 132.126 * [taylor]: Taking taylor expansion of n in n 132.126 * [backup-simplify]: Simplify 0 into 0 132.126 * [backup-simplify]: Simplify 1 into 1 132.126 * [backup-simplify]: Simplify (/ PI 1) into PI 132.126 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.127 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.127 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.127 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.128 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.129 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.130 * [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))))) 132.130 * [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)))))) 132.131 * [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)))))) 132.132 * [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)))))))) 132.140 * [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)))))))) 132.140 * [backup-simplify]: Simplify 0 into 0 132.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 132.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 132.144 * [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 0 132.145 * [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))))))))) 132.145 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 132.145 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.145 * [taylor]: Taking taylor expansion of +nan.0 in n 132.145 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.145 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.145 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.145 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.145 * [taylor]: Taking taylor expansion of 1/2 in n 132.146 * [backup-simplify]: Simplify 1/2 into 1/2 132.146 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.146 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.146 * [taylor]: Taking taylor expansion of 1 in n 132.146 * [backup-simplify]: Simplify 1 into 1 132.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.146 * [taylor]: Taking taylor expansion of k in n 132.146 * [backup-simplify]: Simplify k into k 132.146 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.146 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.146 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.146 * [taylor]: Taking taylor expansion of 2 in n 132.146 * [backup-simplify]: Simplify 2 into 2 132.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.146 * [taylor]: Taking taylor expansion of PI in n 132.146 * [backup-simplify]: Simplify PI into PI 132.146 * [taylor]: Taking taylor expansion of n in n 132.146 * [backup-simplify]: Simplify 0 into 0 132.146 * [backup-simplify]: Simplify 1 into 1 132.146 * [backup-simplify]: Simplify (/ PI 1) into PI 132.147 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.148 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.148 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.148 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.150 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.151 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.152 * [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))))) 132.154 * [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)))))) 132.155 * [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)))))) 132.156 * [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)))))))) 132.157 * [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)))))))) 132.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 132.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 132.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 132.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.161 * [backup-simplify]: Simplify (- 0) into 0 132.162 * [backup-simplify]: Simplify (+ 0 0) into 0 132.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.164 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 132.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 132.167 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 132.170 * [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 0 132.171 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0 132.172 * [backup-simplify]: Simplify (- 0) into 0 132.172 * [backup-simplify]: Simplify 0 into 0 132.172 * [backup-simplify]: Simplify 0 into 0 132.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 132.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 132.176 * [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 0 132.177 * [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))))))))) 132.177 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n 132.177 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.177 * [taylor]: Taking taylor expansion of +nan.0 in n 132.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.177 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.177 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.177 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.177 * [taylor]: Taking taylor expansion of 1/2 in n 132.177 * [backup-simplify]: Simplify 1/2 into 1/2 132.177 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.177 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.177 * [taylor]: Taking taylor expansion of 1 in n 132.177 * [backup-simplify]: Simplify 1 into 1 132.177 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.177 * [taylor]: Taking taylor expansion of k in n 132.177 * [backup-simplify]: Simplify k into k 132.177 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.177 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.177 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.177 * [taylor]: Taking taylor expansion of 2 in n 132.178 * [backup-simplify]: Simplify 2 into 2 132.178 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.178 * [taylor]: Taking taylor expansion of PI in n 132.178 * [backup-simplify]: Simplify PI into PI 132.178 * [taylor]: Taking taylor expansion of n in n 132.178 * [backup-simplify]: Simplify 0 into 0 132.178 * [backup-simplify]: Simplify 1 into 1 132.178 * [backup-simplify]: Simplify (/ PI 1) into PI 132.178 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.179 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.179 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.181 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.181 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.182 * [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))))) 132.183 * [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)))))) 132.183 * [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)))))) 132.184 * [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)))))))) 132.185 * [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)))))))) 132.187 * [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)))))))) 132.187 * [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)))) 132.187 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 132.187 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 132.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 132.188 * [taylor]: Taking taylor expansion of (/ -1 k) in n 132.188 * [taylor]: Taking taylor expansion of -1 in n 132.188 * [backup-simplify]: Simplify -1 into -1 132.188 * [taylor]: Taking taylor expansion of k in n 132.188 * [backup-simplify]: Simplify k into k 132.188 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 132.188 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 132.188 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 132.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 132.188 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 132.188 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 132.188 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 132.188 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 132.188 * [taylor]: Taking taylor expansion of 1/2 in n 132.188 * [backup-simplify]: Simplify 1/2 into 1/2 132.188 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.188 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.188 * [taylor]: Taking taylor expansion of k in n 132.188 * [backup-simplify]: Simplify k into k 132.188 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.188 * [taylor]: Taking taylor expansion of 1 in n 132.188 * [backup-simplify]: Simplify 1 into 1 132.188 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.188 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.188 * [taylor]: Taking taylor expansion of -2 in n 132.188 * [backup-simplify]: Simplify -2 into -2 132.188 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.188 * [taylor]: Taking taylor expansion of PI in n 132.188 * [backup-simplify]: Simplify PI into PI 132.188 * [taylor]: Taking taylor expansion of n in n 132.188 * [backup-simplify]: Simplify 0 into 0 132.188 * [backup-simplify]: Simplify 1 into 1 132.188 * [backup-simplify]: Simplify (/ PI 1) into PI 132.189 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.189 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.189 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.189 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 132.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.191 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.192 * [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))))) 132.193 * [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)))))) 132.193 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 132.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 132.193 * [taylor]: Taking taylor expansion of (/ -1 k) in k 132.193 * [taylor]: Taking taylor expansion of -1 in k 132.193 * [backup-simplify]: Simplify -1 into -1 132.193 * [taylor]: Taking taylor expansion of k in k 132.193 * [backup-simplify]: Simplify 0 into 0 132.193 * [backup-simplify]: Simplify 1 into 1 132.193 * [backup-simplify]: Simplify (/ -1 1) into -1 132.193 * [backup-simplify]: Simplify (sqrt 0) into 0 132.194 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 132.194 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 132.194 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 132.194 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 132.194 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 132.194 * [taylor]: Taking taylor expansion of 1/2 in k 132.194 * [backup-simplify]: Simplify 1/2 into 1/2 132.194 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 132.194 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.194 * [taylor]: Taking taylor expansion of k in k 132.194 * [backup-simplify]: Simplify 0 into 0 132.194 * [backup-simplify]: Simplify 1 into 1 132.195 * [backup-simplify]: Simplify (/ 1 1) into 1 132.195 * [taylor]: Taking taylor expansion of 1 in k 132.195 * [backup-simplify]: Simplify 1 into 1 132.195 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 132.195 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 132.195 * [taylor]: Taking taylor expansion of -2 in k 132.195 * [backup-simplify]: Simplify -2 into -2 132.195 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.195 * [taylor]: Taking taylor expansion of PI in k 132.195 * [backup-simplify]: Simplify PI into PI 132.195 * [taylor]: Taking taylor expansion of n in k 132.195 * [backup-simplify]: Simplify n into n 132.195 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.195 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 132.195 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 132.195 * [backup-simplify]: Simplify (+ 1 0) into 1 132.195 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.196 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 132.196 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 132.196 * [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))))) 132.196 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 132.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 132.196 * [taylor]: Taking taylor expansion of (/ -1 k) in k 132.196 * [taylor]: Taking taylor expansion of -1 in k 132.196 * [backup-simplify]: Simplify -1 into -1 132.196 * [taylor]: Taking taylor expansion of k in k 132.196 * [backup-simplify]: Simplify 0 into 0 132.196 * [backup-simplify]: Simplify 1 into 1 132.196 * [backup-simplify]: Simplify (/ -1 1) into -1 132.196 * [backup-simplify]: Simplify (sqrt 0) into 0 132.197 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 132.197 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 132.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 132.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 132.197 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 132.197 * [taylor]: Taking taylor expansion of 1/2 in k 132.197 * [backup-simplify]: Simplify 1/2 into 1/2 132.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 132.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.197 * [taylor]: Taking taylor expansion of k in k 132.197 * [backup-simplify]: Simplify 0 into 0 132.197 * [backup-simplify]: Simplify 1 into 1 132.198 * [backup-simplify]: Simplify (/ 1 1) into 1 132.198 * [taylor]: Taking taylor expansion of 1 in k 132.198 * [backup-simplify]: Simplify 1 into 1 132.198 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 132.198 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 132.198 * [taylor]: Taking taylor expansion of -2 in k 132.198 * [backup-simplify]: Simplify -2 into -2 132.198 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.198 * [taylor]: Taking taylor expansion of PI in k 132.198 * [backup-simplify]: Simplify PI into PI 132.198 * [taylor]: Taking taylor expansion of n in k 132.198 * [backup-simplify]: Simplify n into n 132.198 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.198 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 132.198 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 132.198 * [backup-simplify]: Simplify (+ 1 0) into 1 132.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.199 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 132.199 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 132.199 * [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))))) 132.199 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.199 * [taylor]: Taking taylor expansion of +nan.0 in n 132.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.199 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.199 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.199 * [taylor]: Taking taylor expansion of 1/2 in n 132.199 * [backup-simplify]: Simplify 1/2 into 1/2 132.199 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.199 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.199 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.199 * [taylor]: Taking taylor expansion of -2 in n 132.199 * [backup-simplify]: Simplify -2 into -2 132.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.199 * [taylor]: Taking taylor expansion of PI in n 132.199 * [backup-simplify]: Simplify PI into PI 132.199 * [taylor]: Taking taylor expansion of n in n 132.199 * [backup-simplify]: Simplify 0 into 0 132.199 * [backup-simplify]: Simplify 1 into 1 132.200 * [backup-simplify]: Simplify (/ PI 1) into PI 132.200 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.201 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.201 * [taylor]: Taking taylor expansion of k in n 132.201 * [backup-simplify]: Simplify k into k 132.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.201 * [taylor]: Taking taylor expansion of 1 in n 132.201 * [backup-simplify]: Simplify 1 into 1 132.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.202 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.202 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.203 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.204 * [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))))) 132.204 * [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)))))) 132.205 * [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)))))) 132.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 132.207 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 132.208 * [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))))))) 132.208 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 132.208 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 132.208 * [taylor]: Taking taylor expansion of +nan.0 in n 132.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.208 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.208 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.208 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.208 * [taylor]: Taking taylor expansion of 1/2 in n 132.208 * [backup-simplify]: Simplify 1/2 into 1/2 132.208 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.208 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.208 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.208 * [taylor]: Taking taylor expansion of -2 in n 132.208 * [backup-simplify]: Simplify -2 into -2 132.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.208 * [taylor]: Taking taylor expansion of PI in n 132.208 * [backup-simplify]: Simplify PI into PI 132.208 * [taylor]: Taking taylor expansion of n in n 132.208 * [backup-simplify]: Simplify 0 into 0 132.208 * [backup-simplify]: Simplify 1 into 1 132.208 * [backup-simplify]: Simplify (/ PI 1) into PI 132.209 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.209 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.209 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.209 * [taylor]: Taking taylor expansion of k in n 132.209 * [backup-simplify]: Simplify k into k 132.209 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.209 * [taylor]: Taking taylor expansion of 1 in n 132.209 * [backup-simplify]: Simplify 1 into 1 132.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.210 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.211 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.212 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.213 * [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))))) 132.214 * [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)))))) 132.216 * [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)))))) 132.217 * [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)))))))) 132.218 * [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)))))))) 132.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.220 * [backup-simplify]: Simplify (+ 0 0) into 0 132.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 132.222 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 132.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 132.225 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 132.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 132.228 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 132.232 * [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 0 132.232 * [backup-simplify]: Simplify 0 into 0 132.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 132.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 132.238 * [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))))))) 132.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n 132.238 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 132.238 * [taylor]: Taking taylor expansion of +nan.0 in n 132.238 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.238 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.238 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.238 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.238 * [taylor]: Taking taylor expansion of 1/2 in n 132.238 * [backup-simplify]: Simplify 1/2 into 1/2 132.238 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.238 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.238 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.238 * [taylor]: Taking taylor expansion of -2 in n 132.238 * [backup-simplify]: Simplify -2 into -2 132.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.239 * [taylor]: Taking taylor expansion of PI in n 132.239 * [backup-simplify]: Simplify PI into PI 132.239 * [taylor]: Taking taylor expansion of n in n 132.239 * [backup-simplify]: Simplify 0 into 0 132.239 * [backup-simplify]: Simplify 1 into 1 132.239 * [backup-simplify]: Simplify (/ PI 1) into PI 132.240 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.241 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.241 * [taylor]: Taking taylor expansion of k in n 132.241 * [backup-simplify]: Simplify k into k 132.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.241 * [taylor]: Taking taylor expansion of 1 in n 132.241 * [backup-simplify]: Simplify 1 into 1 132.242 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.242 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.243 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.244 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.245 * [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))))) 132.247 * [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)))))) 132.248 * [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)))))) 132.249 * [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)))))))) 132.250 * [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)))))))) 132.254 * [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))))))))))))) 132.255 * * * * [progress]: [ 4 / 4 ] generating series at (2) 132.261 * [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))) 132.261 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 132.261 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 132.261 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 132.261 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 132.261 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 132.261 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 132.261 * [taylor]: Taking taylor expansion of 1/2 in n 132.261 * [backup-simplify]: Simplify 1/2 into 1/2 132.261 * [taylor]: Taking taylor expansion of (- 1 k) in n 132.261 * [taylor]: Taking taylor expansion of 1 in n 132.261 * [backup-simplify]: Simplify 1 into 1 132.261 * [taylor]: Taking taylor expansion of k in n 132.261 * [backup-simplify]: Simplify k into k 132.261 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 132.261 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 132.261 * [taylor]: Taking taylor expansion of 2 in n 132.261 * [backup-simplify]: Simplify 2 into 2 132.261 * [taylor]: Taking taylor expansion of (* n PI) in n 132.261 * [taylor]: Taking taylor expansion of n in n 132.261 * [backup-simplify]: Simplify 0 into 0 132.261 * [backup-simplify]: Simplify 1 into 1 132.262 * [taylor]: Taking taylor expansion of PI in n 132.262 * [backup-simplify]: Simplify PI into PI 132.262 * [backup-simplify]: Simplify (* 0 PI) into 0 132.263 * [backup-simplify]: Simplify (* 2 0) into 0 132.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.266 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 132.267 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.267 * [backup-simplify]: Simplify (- k) into (- k) 132.267 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 132.267 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 132.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.270 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 132.271 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 132.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 132.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.271 * [taylor]: Taking taylor expansion of k in n 132.271 * [backup-simplify]: Simplify k into k 132.271 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.271 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 132.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 132.271 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 132.271 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 132.271 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 132.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 132.271 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 132.271 * [taylor]: Taking taylor expansion of 1/2 in k 132.271 * [backup-simplify]: Simplify 1/2 into 1/2 132.271 * [taylor]: Taking taylor expansion of (- 1 k) in k 132.271 * [taylor]: Taking taylor expansion of 1 in k 132.272 * [backup-simplify]: Simplify 1 into 1 132.272 * [taylor]: Taking taylor expansion of k in k 132.272 * [backup-simplify]: Simplify 0 into 0 132.272 * [backup-simplify]: Simplify 1 into 1 132.272 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 132.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 132.272 * [taylor]: Taking taylor expansion of 2 in k 132.272 * [backup-simplify]: Simplify 2 into 2 132.272 * [taylor]: Taking taylor expansion of (* n PI) in k 132.272 * [taylor]: Taking taylor expansion of n in k 132.272 * [backup-simplify]: Simplify n into n 132.272 * [taylor]: Taking taylor expansion of PI in k 132.272 * [backup-simplify]: Simplify PI into PI 132.272 * [backup-simplify]: Simplify (* n PI) into (* n PI) 132.272 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 132.272 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 132.273 * [backup-simplify]: Simplify (- 0) into 0 132.273 * [backup-simplify]: Simplify (+ 1 0) into 1 132.274 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.274 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 132.274 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 132.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 132.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.274 * [taylor]: Taking taylor expansion of k in k 132.274 * [backup-simplify]: Simplify 0 into 0 132.274 * [backup-simplify]: Simplify 1 into 1 132.274 * [backup-simplify]: Simplify (/ 1 1) into 1 132.275 * [backup-simplify]: Simplify (sqrt 0) into 0 132.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.276 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 132.276 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 132.276 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 132.276 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 132.277 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 132.277 * [taylor]: Taking taylor expansion of 1/2 in k 132.277 * [backup-simplify]: Simplify 1/2 into 1/2 132.277 * [taylor]: Taking taylor expansion of (- 1 k) in k 132.277 * [taylor]: Taking taylor expansion of 1 in k 132.277 * [backup-simplify]: Simplify 1 into 1 132.277 * [taylor]: Taking taylor expansion of k in k 132.277 * [backup-simplify]: Simplify 0 into 0 132.277 * [backup-simplify]: Simplify 1 into 1 132.277 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 132.277 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 132.277 * [taylor]: Taking taylor expansion of 2 in k 132.277 * [backup-simplify]: Simplify 2 into 2 132.277 * [taylor]: Taking taylor expansion of (* n PI) in k 132.277 * [taylor]: Taking taylor expansion of n in k 132.277 * [backup-simplify]: Simplify n into n 132.277 * [taylor]: Taking taylor expansion of PI in k 132.277 * [backup-simplify]: Simplify PI into PI 132.277 * [backup-simplify]: Simplify (* n PI) into (* n PI) 132.277 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 132.277 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 132.278 * [backup-simplify]: Simplify (- 0) into 0 132.278 * [backup-simplify]: Simplify (+ 1 0) into 1 132.278 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.279 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 132.279 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 132.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 132.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.279 * [taylor]: Taking taylor expansion of k in k 132.279 * [backup-simplify]: Simplify 0 into 0 132.279 * [backup-simplify]: Simplify 1 into 1 132.279 * [backup-simplify]: Simplify (/ 1 1) into 1 132.280 * [backup-simplify]: Simplify (sqrt 0) into 0 132.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.281 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 132.281 * [taylor]: Taking taylor expansion of 0 in n 132.281 * [backup-simplify]: Simplify 0 into 0 132.281 * [backup-simplify]: Simplify 0 into 0 132.282 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 132.282 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 132.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 132.284 * [backup-simplify]: Simplify (- 1) into -1 132.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 132.285 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 132.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 132.286 * [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))))) 132.286 * [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))))) 132.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 132.287 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 132.287 * [taylor]: Taking taylor expansion of +nan.0 in n 132.287 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.287 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 132.287 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.287 * [taylor]: Taking taylor expansion of 2 in n 132.287 * [backup-simplify]: Simplify 2 into 2 132.287 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.288 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.288 * [taylor]: Taking taylor expansion of (* n PI) in n 132.288 * [taylor]: Taking taylor expansion of n in n 132.288 * [backup-simplify]: Simplify 0 into 0 132.288 * [backup-simplify]: Simplify 1 into 1 132.288 * [taylor]: Taking taylor expansion of PI in n 132.288 * [backup-simplify]: Simplify PI into PI 132.288 * [backup-simplify]: Simplify (* 0 PI) into 0 132.290 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.290 * [backup-simplify]: Simplify (sqrt 0) into 0 132.292 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.292 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 132.293 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.293 * [backup-simplify]: Simplify (- 0) into 0 132.293 * [backup-simplify]: Simplify 0 into 0 132.293 * [backup-simplify]: Simplify 0 into 0 132.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 132.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 132.298 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 132.299 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 132.300 * [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 0 132.301 * [backup-simplify]: Simplify (- 0) into 0 132.301 * [backup-simplify]: Simplify (+ 0 0) into 0 132.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 132.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 132.304 * [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))) 132.305 * [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))))))) 132.305 * [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 132.305 * [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 132.305 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 132.305 * [taylor]: Taking taylor expansion of +nan.0 in n 132.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.305 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 132.305 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 132.305 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.305 * [taylor]: Taking taylor expansion of 2 in n 132.305 * [backup-simplify]: Simplify 2 into 2 132.306 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.306 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 132.306 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 132.306 * [taylor]: Taking taylor expansion of 2 in n 132.306 * [backup-simplify]: Simplify 2 into 2 132.306 * [taylor]: Taking taylor expansion of (* n PI) in n 132.306 * [taylor]: Taking taylor expansion of n in n 132.306 * [backup-simplify]: Simplify 0 into 0 132.306 * [backup-simplify]: Simplify 1 into 1 132.306 * [taylor]: Taking taylor expansion of PI in n 132.307 * [backup-simplify]: Simplify PI into PI 132.307 * [backup-simplify]: Simplify (* 0 PI) into 0 132.307 * [backup-simplify]: Simplify (* 2 0) into 0 132.309 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.310 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 132.311 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.311 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.312 * [taylor]: Taking taylor expansion of (* n PI) in n 132.312 * [taylor]: Taking taylor expansion of n in n 132.312 * [backup-simplify]: Simplify 0 into 0 132.312 * [backup-simplify]: Simplify 1 into 1 132.312 * [taylor]: Taking taylor expansion of PI in n 132.312 * [backup-simplify]: Simplify PI into PI 132.312 * [backup-simplify]: Simplify (* 0 PI) into 0 132.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.314 * [backup-simplify]: Simplify (sqrt 0) into 0 132.316 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 132.316 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 132.316 * [taylor]: Taking taylor expansion of +nan.0 in n 132.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.316 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 132.316 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.316 * [taylor]: Taking taylor expansion of 2 in n 132.316 * [backup-simplify]: Simplify 2 into 2 132.316 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.317 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.317 * [taylor]: Taking taylor expansion of (* n PI) in n 132.317 * [taylor]: Taking taylor expansion of n in n 132.317 * [backup-simplify]: Simplify 0 into 0 132.317 * [backup-simplify]: Simplify 1 into 1 132.317 * [taylor]: Taking taylor expansion of PI in n 132.317 * [backup-simplify]: Simplify PI into PI 132.318 * [backup-simplify]: Simplify (* 0 PI) into 0 132.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.319 * [backup-simplify]: Simplify (sqrt 0) into 0 132.321 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.322 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.324 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 132.325 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 132.326 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.326 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 132.327 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.327 * [backup-simplify]: Simplify (- 0) into 0 132.327 * [backup-simplify]: Simplify (+ 0 0) into 0 132.328 * [backup-simplify]: Simplify (- 0) into 0 132.328 * [backup-simplify]: Simplify 0 into 0 132.331 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 132.336 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 132.340 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 132.342 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 132.342 * [backup-simplify]: Simplify 0 into 0 132.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 132.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 132.348 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 132.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 132.352 * [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 0 132.352 * [backup-simplify]: Simplify (- 0) into 0 132.353 * [backup-simplify]: Simplify (+ 0 0) into 0 132.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 132.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 132.357 * [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))) 132.359 * [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))))))))) 132.359 * [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 132.359 * [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 132.359 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 132.359 * [taylor]: Taking taylor expansion of +nan.0 in n 132.359 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.359 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 132.359 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 132.359 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.359 * [taylor]: Taking taylor expansion of 2 in n 132.359 * [backup-simplify]: Simplify 2 into 2 132.359 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.360 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 132.360 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 132.360 * [taylor]: Taking taylor expansion of 2 in n 132.360 * [backup-simplify]: Simplify 2 into 2 132.360 * [taylor]: Taking taylor expansion of (* n PI) in n 132.360 * [taylor]: Taking taylor expansion of n in n 132.360 * [backup-simplify]: Simplify 0 into 0 132.360 * [backup-simplify]: Simplify 1 into 1 132.360 * [taylor]: Taking taylor expansion of PI in n 132.360 * [backup-simplify]: Simplify PI into PI 132.361 * [backup-simplify]: Simplify (* 0 PI) into 0 132.361 * [backup-simplify]: Simplify (* 2 0) into 0 132.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.364 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 132.365 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.365 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.365 * [taylor]: Taking taylor expansion of (* n PI) in n 132.365 * [taylor]: Taking taylor expansion of n in n 132.365 * [backup-simplify]: Simplify 0 into 0 132.365 * [backup-simplify]: Simplify 1 into 1 132.365 * [taylor]: Taking taylor expansion of PI in n 132.365 * [backup-simplify]: Simplify PI into PI 132.366 * [backup-simplify]: Simplify (* 0 PI) into 0 132.367 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.368 * [backup-simplify]: Simplify (sqrt 0) into 0 132.369 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.369 * [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 132.369 * [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 132.369 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 132.369 * [taylor]: Taking taylor expansion of +nan.0 in n 132.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.369 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 132.369 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.369 * [taylor]: Taking taylor expansion of 2 in n 132.369 * [backup-simplify]: Simplify 2 into 2 132.370 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.370 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.370 * [taylor]: Taking taylor expansion of (* n PI) in n 132.370 * [taylor]: Taking taylor expansion of n in n 132.370 * [backup-simplify]: Simplify 0 into 0 132.370 * [backup-simplify]: Simplify 1 into 1 132.370 * [taylor]: Taking taylor expansion of PI in n 132.371 * [backup-simplify]: Simplify PI into PI 132.371 * [backup-simplify]: Simplify (* 0 PI) into 0 132.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.373 * [backup-simplify]: Simplify (sqrt 0) into 0 132.374 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.374 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 132.374 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 132.374 * [taylor]: Taking taylor expansion of +nan.0 in n 132.374 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.374 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 132.374 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 132.374 * [taylor]: Taking taylor expansion of (sqrt 2) in n 132.374 * [taylor]: Taking taylor expansion of 2 in n 132.375 * [backup-simplify]: Simplify 2 into 2 132.375 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 132.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 132.376 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 132.376 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 132.376 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 132.376 * [taylor]: Taking taylor expansion of 2 in n 132.376 * [backup-simplify]: Simplify 2 into 2 132.376 * [taylor]: Taking taylor expansion of (* n PI) in n 132.376 * [taylor]: Taking taylor expansion of n in n 132.376 * [backup-simplify]: Simplify 0 into 0 132.376 * [backup-simplify]: Simplify 1 into 1 132.376 * [taylor]: Taking taylor expansion of PI in n 132.376 * [backup-simplify]: Simplify PI into PI 132.376 * [backup-simplify]: Simplify (* 0 PI) into 0 132.377 * [backup-simplify]: Simplify (* 2 0) into 0 132.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.380 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 132.381 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.382 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.382 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 132.382 * [taylor]: Taking taylor expansion of (* n PI) in n 132.382 * [taylor]: Taking taylor expansion of n in n 132.382 * [backup-simplify]: Simplify 0 into 0 132.382 * [backup-simplify]: Simplify 1 into 1 132.382 * [taylor]: Taking taylor expansion of PI in n 132.382 * [backup-simplify]: Simplify PI into PI 132.383 * [backup-simplify]: Simplify (* 0 PI) into 0 132.384 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 132.385 * [backup-simplify]: Simplify (sqrt 0) into 0 132.386 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 132.388 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.389 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 132.390 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 132.391 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.391 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 132.392 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.393 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.397 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 132.398 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 132.400 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 132.400 * [backup-simplify]: Simplify (* +nan.0 0) into 0 132.401 * [backup-simplify]: Simplify (- 0) into 0 132.401 * [backup-simplify]: Simplify (+ 0 0) into 0 132.401 * [backup-simplify]: Simplify (- 0) into 0 132.402 * [backup-simplify]: Simplify (+ 0 0) into 0 132.402 * [backup-simplify]: Simplify (- 0) into 0 132.402 * [backup-simplify]: Simplify 0 into 0 132.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 132.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 132.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 132.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 132.413 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 132.415 * [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)))))))) 132.418 * [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)))))))) 132.420 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 132.423 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 132.425 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 132.430 * [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)))))))))) 132.435 * [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))))))) 132.439 * [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))))))) 132.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 132.443 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 132.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 132.446 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 132.451 * [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)))) 132.454 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 132.456 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 132.468 * [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))))))))))))) 132.469 * [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)) 132.469 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 132.469 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 132.469 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 132.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 132.469 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 132.469 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 132.469 * [taylor]: Taking taylor expansion of 1/2 in n 132.469 * [backup-simplify]: Simplify 1/2 into 1/2 132.469 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.469 * [taylor]: Taking taylor expansion of 1 in n 132.469 * [backup-simplify]: Simplify 1 into 1 132.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.469 * [taylor]: Taking taylor expansion of k in n 132.469 * [backup-simplify]: Simplify k into k 132.469 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.469 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.469 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.469 * [taylor]: Taking taylor expansion of 2 in n 132.469 * [backup-simplify]: Simplify 2 into 2 132.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.469 * [taylor]: Taking taylor expansion of PI in n 132.469 * [backup-simplify]: Simplify PI into PI 132.469 * [taylor]: Taking taylor expansion of n in n 132.469 * [backup-simplify]: Simplify 0 into 0 132.469 * [backup-simplify]: Simplify 1 into 1 132.470 * [backup-simplify]: Simplify (/ PI 1) into PI 132.470 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.471 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.471 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.471 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.472 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 132.473 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.474 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.475 * [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))))) 132.475 * [taylor]: Taking taylor expansion of (sqrt k) in n 132.475 * [taylor]: Taking taylor expansion of k in n 132.475 * [backup-simplify]: Simplify k into k 132.475 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 132.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 132.475 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 132.475 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 132.475 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 132.475 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 132.475 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 132.476 * [taylor]: Taking taylor expansion of 1/2 in k 132.476 * [backup-simplify]: Simplify 1/2 into 1/2 132.476 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 132.476 * [taylor]: Taking taylor expansion of 1 in k 132.476 * [backup-simplify]: Simplify 1 into 1 132.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.476 * [taylor]: Taking taylor expansion of k in k 132.476 * [backup-simplify]: Simplify 0 into 0 132.476 * [backup-simplify]: Simplify 1 into 1 132.476 * [backup-simplify]: Simplify (/ 1 1) into 1 132.476 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 132.476 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 132.476 * [taylor]: Taking taylor expansion of 2 in k 132.476 * [backup-simplify]: Simplify 2 into 2 132.476 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.476 * [taylor]: Taking taylor expansion of PI in k 132.476 * [backup-simplify]: Simplify PI into PI 132.476 * [taylor]: Taking taylor expansion of n in k 132.476 * [backup-simplify]: Simplify n into n 132.476 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.477 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 132.477 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 132.477 * [backup-simplify]: Simplify (- 1) into -1 132.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 132.478 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 132.478 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 132.478 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 132.478 * [taylor]: Taking taylor expansion of (sqrt k) in k 132.478 * [taylor]: Taking taylor expansion of k in k 132.478 * [backup-simplify]: Simplify 0 into 0 132.478 * [backup-simplify]: Simplify 1 into 1 132.479 * [backup-simplify]: Simplify (sqrt 0) into 0 132.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.480 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 132.480 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 132.480 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 132.480 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 132.480 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 132.480 * [taylor]: Taking taylor expansion of 1/2 in k 132.480 * [backup-simplify]: Simplify 1/2 into 1/2 132.480 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 132.480 * [taylor]: Taking taylor expansion of 1 in k 132.480 * [backup-simplify]: Simplify 1 into 1 132.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.480 * [taylor]: Taking taylor expansion of k in k 132.481 * [backup-simplify]: Simplify 0 into 0 132.481 * [backup-simplify]: Simplify 1 into 1 132.481 * [backup-simplify]: Simplify (/ 1 1) into 1 132.481 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 132.481 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 132.481 * [taylor]: Taking taylor expansion of 2 in k 132.481 * [backup-simplify]: Simplify 2 into 2 132.481 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.481 * [taylor]: Taking taylor expansion of PI in k 132.481 * [backup-simplify]: Simplify PI into PI 132.481 * [taylor]: Taking taylor expansion of n in k 132.481 * [backup-simplify]: Simplify n into n 132.481 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.481 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 132.482 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 132.482 * [backup-simplify]: Simplify (- 1) into -1 132.482 * [backup-simplify]: Simplify (+ 0 -1) into -1 132.483 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 132.483 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 132.483 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 132.483 * [taylor]: Taking taylor expansion of (sqrt k) in k 132.483 * [taylor]: Taking taylor expansion of k in k 132.483 * [backup-simplify]: Simplify 0 into 0 132.483 * [backup-simplify]: Simplify 1 into 1 132.484 * [backup-simplify]: Simplify (sqrt 0) into 0 132.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 132.485 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 132.485 * [taylor]: Taking taylor expansion of 0 in n 132.485 * [backup-simplify]: Simplify 0 into 0 132.485 * [backup-simplify]: Simplify 0 into 0 132.486 * [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)))))))) 132.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.486 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.486 * [taylor]: Taking taylor expansion of +nan.0 in n 132.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.486 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.486 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.486 * [taylor]: Taking taylor expansion of 1/2 in n 132.486 * [backup-simplify]: Simplify 1/2 into 1/2 132.486 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.486 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.486 * [taylor]: Taking taylor expansion of 1 in n 132.486 * [backup-simplify]: Simplify 1 into 1 132.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.486 * [taylor]: Taking taylor expansion of k in n 132.486 * [backup-simplify]: Simplify k into k 132.486 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.486 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.487 * [taylor]: Taking taylor expansion of 2 in n 132.487 * [backup-simplify]: Simplify 2 into 2 132.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.487 * [taylor]: Taking taylor expansion of PI in n 132.487 * [backup-simplify]: Simplify PI into PI 132.487 * [taylor]: Taking taylor expansion of n in n 132.487 * [backup-simplify]: Simplify 0 into 0 132.487 * [backup-simplify]: Simplify 1 into 1 132.487 * [backup-simplify]: Simplify (/ PI 1) into PI 132.488 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.489 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.489 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.489 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.490 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.491 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.492 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.494 * [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))))) 132.495 * [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)))))) 132.496 * [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))))))) 132.497 * [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))))))) 132.497 * [backup-simplify]: Simplify 0 into 0 132.500 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 132.501 * [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)))))))) 132.501 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.501 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.501 * [taylor]: Taking taylor expansion of +nan.0 in n 132.501 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.501 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.501 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.501 * [taylor]: Taking taylor expansion of 1/2 in n 132.501 * [backup-simplify]: Simplify 1/2 into 1/2 132.501 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.501 * [taylor]: Taking taylor expansion of 1 in n 132.501 * [backup-simplify]: Simplify 1 into 1 132.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.501 * [taylor]: Taking taylor expansion of k in n 132.501 * [backup-simplify]: Simplify k into k 132.501 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.501 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.501 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.502 * [taylor]: Taking taylor expansion of 2 in n 132.502 * [backup-simplify]: Simplify 2 into 2 132.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.502 * [taylor]: Taking taylor expansion of PI in n 132.502 * [backup-simplify]: Simplify PI into PI 132.502 * [taylor]: Taking taylor expansion of n in n 132.502 * [backup-simplify]: Simplify 0 into 0 132.502 * [backup-simplify]: Simplify 1 into 1 132.502 * [backup-simplify]: Simplify (/ PI 1) into PI 132.503 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.504 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.504 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.504 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.506 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.507 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.508 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 132.510 * [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)))))) 132.511 * [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))))))) 132.512 * [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))))))) 132.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 132.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 132.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 132.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.523 * [backup-simplify]: Simplify (- 0) into 0 132.523 * [backup-simplify]: Simplify (+ 0 0) into 0 132.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.526 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 132.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 132.529 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 132.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 132.531 * [backup-simplify]: Simplify (- 0) into 0 132.531 * [backup-simplify]: Simplify 0 into 0 132.531 * [backup-simplify]: Simplify 0 into 0 132.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 132.537 * [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)))))))) 132.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 132.537 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 132.537 * [taylor]: Taking taylor expansion of +nan.0 in n 132.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.537 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 132.537 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 132.537 * [taylor]: Taking taylor expansion of 1/2 in n 132.537 * [backup-simplify]: Simplify 1/2 into 1/2 132.537 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 132.537 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 132.537 * [taylor]: Taking taylor expansion of 1 in n 132.537 * [backup-simplify]: Simplify 1 into 1 132.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.537 * [taylor]: Taking taylor expansion of k in n 132.537 * [backup-simplify]: Simplify k into k 132.537 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.537 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 132.537 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 132.537 * [taylor]: Taking taylor expansion of 2 in n 132.537 * [backup-simplify]: Simplify 2 into 2 132.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.537 * [taylor]: Taking taylor expansion of PI in n 132.537 * [backup-simplify]: Simplify PI into PI 132.537 * [taylor]: Taking taylor expansion of n in n 132.537 * [backup-simplify]: Simplify 0 into 0 132.537 * [backup-simplify]: Simplify 1 into 1 132.538 * [backup-simplify]: Simplify (/ PI 1) into PI 132.538 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 132.539 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 132.539 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 132.539 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 132.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 132.542 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 132.543 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 132.544 * [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))))) 132.544 * [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)))))) 132.545 * [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))))))) 132.546 * [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))))))) 132.548 * [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)))))))) 132.549 * [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))) 132.549 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 132.549 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 132.549 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 132.549 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 132.549 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 132.549 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 132.549 * [taylor]: Taking taylor expansion of 1/2 in n 132.549 * [backup-simplify]: Simplify 1/2 into 1/2 132.549 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.549 * [taylor]: Taking taylor expansion of k in n 132.549 * [backup-simplify]: Simplify k into k 132.549 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.549 * [taylor]: Taking taylor expansion of 1 in n 132.549 * [backup-simplify]: Simplify 1 into 1 132.549 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.549 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.549 * [taylor]: Taking taylor expansion of -2 in n 132.549 * [backup-simplify]: Simplify -2 into -2 132.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.549 * [taylor]: Taking taylor expansion of PI in n 132.549 * [backup-simplify]: Simplify PI into PI 132.549 * [taylor]: Taking taylor expansion of n in n 132.549 * [backup-simplify]: Simplify 0 into 0 132.549 * [backup-simplify]: Simplify 1 into 1 132.549 * [backup-simplify]: Simplify (/ PI 1) into PI 132.550 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.550 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.550 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.550 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 132.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.552 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.553 * [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))))) 132.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 132.553 * [taylor]: Taking taylor expansion of (/ -1 k) in n 132.553 * [taylor]: Taking taylor expansion of -1 in n 132.553 * [backup-simplify]: Simplify -1 into -1 132.553 * [taylor]: Taking taylor expansion of k in n 132.553 * [backup-simplify]: Simplify k into k 132.553 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 132.553 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 132.553 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 132.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 132.554 * [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))) 132.554 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 132.554 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 132.554 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 132.554 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 132.554 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 132.554 * [taylor]: Taking taylor expansion of 1/2 in k 132.554 * [backup-simplify]: Simplify 1/2 into 1/2 132.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 132.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.554 * [taylor]: Taking taylor expansion of k in k 132.554 * [backup-simplify]: Simplify 0 into 0 132.554 * [backup-simplify]: Simplify 1 into 1 132.554 * [backup-simplify]: Simplify (/ 1 1) into 1 132.554 * [taylor]: Taking taylor expansion of 1 in k 132.554 * [backup-simplify]: Simplify 1 into 1 132.554 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 132.554 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 132.554 * [taylor]: Taking taylor expansion of -2 in k 132.554 * [backup-simplify]: Simplify -2 into -2 132.554 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.554 * [taylor]: Taking taylor expansion of PI in k 132.554 * [backup-simplify]: Simplify PI into PI 132.554 * [taylor]: Taking taylor expansion of n in k 132.554 * [backup-simplify]: Simplify n into n 132.554 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.555 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 132.555 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 132.555 * [backup-simplify]: Simplify (+ 1 0) into 1 132.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.555 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 132.555 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 132.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 132.555 * [taylor]: Taking taylor expansion of (/ -1 k) in k 132.555 * [taylor]: Taking taylor expansion of -1 in k 132.555 * [backup-simplify]: Simplify -1 into -1 132.555 * [taylor]: Taking taylor expansion of k in k 132.555 * [backup-simplify]: Simplify 0 into 0 132.555 * [backup-simplify]: Simplify 1 into 1 132.556 * [backup-simplify]: Simplify (/ -1 1) into -1 132.556 * [backup-simplify]: Simplify (sqrt 0) into 0 132.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 132.557 * [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))))) 132.557 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 132.557 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 132.557 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 132.557 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 132.557 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 132.557 * [taylor]: Taking taylor expansion of 1/2 in k 132.557 * [backup-simplify]: Simplify 1/2 into 1/2 132.557 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 132.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k 132.557 * [taylor]: Taking taylor expansion of k in k 132.557 * [backup-simplify]: Simplify 0 into 0 132.557 * [backup-simplify]: Simplify 1 into 1 132.557 * [backup-simplify]: Simplify (/ 1 1) into 1 132.557 * [taylor]: Taking taylor expansion of 1 in k 132.557 * [backup-simplify]: Simplify 1 into 1 132.558 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 132.558 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 132.558 * [taylor]: Taking taylor expansion of -2 in k 132.558 * [backup-simplify]: Simplify -2 into -2 132.558 * [taylor]: Taking taylor expansion of (/ PI n) in k 132.558 * [taylor]: Taking taylor expansion of PI in k 132.558 * [backup-simplify]: Simplify PI into PI 132.558 * [taylor]: Taking taylor expansion of n in k 132.558 * [backup-simplify]: Simplify n into n 132.558 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 132.558 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 132.558 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 132.558 * [backup-simplify]: Simplify (+ 1 0) into 1 132.558 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 132.558 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 132.559 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 132.559 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 132.559 * [taylor]: Taking taylor expansion of (/ -1 k) in k 132.559 * [taylor]: Taking taylor expansion of -1 in k 132.559 * [backup-simplify]: Simplify -1 into -1 132.559 * [taylor]: Taking taylor expansion of k in k 132.559 * [backup-simplify]: Simplify 0 into 0 132.559 * [backup-simplify]: Simplify 1 into 1 132.559 * [backup-simplify]: Simplify (/ -1 1) into -1 132.559 * [backup-simplify]: Simplify (sqrt 0) into 0 132.560 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 132.560 * [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))))) 132.560 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.560 * [taylor]: Taking taylor expansion of +nan.0 in n 132.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.560 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.560 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.560 * [taylor]: Taking taylor expansion of 1/2 in n 132.560 * [backup-simplify]: Simplify 1/2 into 1/2 132.560 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.560 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.560 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.560 * [taylor]: Taking taylor expansion of -2 in n 132.560 * [backup-simplify]: Simplify -2 into -2 132.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.560 * [taylor]: Taking taylor expansion of PI in n 132.560 * [backup-simplify]: Simplify PI into PI 132.560 * [taylor]: Taking taylor expansion of n in n 132.560 * [backup-simplify]: Simplify 0 into 0 132.560 * [backup-simplify]: Simplify 1 into 1 132.561 * [backup-simplify]: Simplify (/ PI 1) into PI 132.561 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.562 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.562 * [taylor]: Taking taylor expansion of k in n 132.562 * [backup-simplify]: Simplify k into k 132.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.562 * [taylor]: Taking taylor expansion of 1 in n 132.562 * [backup-simplify]: Simplify 1 into 1 132.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.563 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.563 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.564 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.565 * [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))))) 132.565 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 132.566 * [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)))))) 132.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 132.568 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 132.569 * [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)))))) 132.569 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 132.569 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.569 * [taylor]: Taking taylor expansion of +nan.0 in n 132.569 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.569 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.569 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.569 * [taylor]: Taking taylor expansion of 1/2 in n 132.569 * [backup-simplify]: Simplify 1/2 into 1/2 132.569 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.569 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.569 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.569 * [taylor]: Taking taylor expansion of -2 in n 132.569 * [backup-simplify]: Simplify -2 into -2 132.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.569 * [taylor]: Taking taylor expansion of PI in n 132.569 * [backup-simplify]: Simplify PI into PI 132.569 * [taylor]: Taking taylor expansion of n in n 132.569 * [backup-simplify]: Simplify 0 into 0 132.569 * [backup-simplify]: Simplify 1 into 1 132.570 * [backup-simplify]: Simplify (/ PI 1) into PI 132.570 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.571 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.571 * [taylor]: Taking taylor expansion of k in n 132.571 * [backup-simplify]: Simplify k into k 132.571 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.571 * [taylor]: Taking taylor expansion of 1 in n 132.571 * [backup-simplify]: Simplify 1 into 1 132.572 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.572 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.573 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.575 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.576 * [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))))) 132.577 * [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)))))) 132.578 * [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))))))) 132.580 * [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))))))) 132.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 132.581 * [backup-simplify]: Simplify (+ 0 0) into 0 132.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 132.583 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 132.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 132.586 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 132.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 132.590 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 132.592 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 132.592 * [backup-simplify]: Simplify 0 into 0 132.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 132.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 132.599 * [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)))))) 132.599 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 132.599 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 132.599 * [taylor]: Taking taylor expansion of +nan.0 in n 132.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 132.599 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 132.599 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 132.599 * [taylor]: Taking taylor expansion of 1/2 in n 132.599 * [backup-simplify]: Simplify 1/2 into 1/2 132.599 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 132.599 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 132.599 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 132.599 * [taylor]: Taking taylor expansion of -2 in n 132.599 * [backup-simplify]: Simplify -2 into -2 132.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 132.599 * [taylor]: Taking taylor expansion of PI in n 132.599 * [backup-simplify]: Simplify PI into PI 132.599 * [taylor]: Taking taylor expansion of n in n 132.599 * [backup-simplify]: Simplify 0 into 0 132.599 * [backup-simplify]: Simplify 1 into 1 132.600 * [backup-simplify]: Simplify (/ PI 1) into PI 132.600 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 132.601 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 132.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 132.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 132.601 * [taylor]: Taking taylor expansion of k in n 132.601 * [backup-simplify]: Simplify k into k 132.601 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 132.601 * [taylor]: Taking taylor expansion of 1 in n 132.601 * [backup-simplify]: Simplify 1 into 1 132.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 132.603 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 132.604 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 132.605 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 132.606 * [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))))) 132.607 * [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)))))) 132.608 * [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))))))) 132.609 * [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))))))) 132.613 * [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)))))))))))) 132.614 * * * [progress]: simplifying candidates 132.614 * * * * [progress]: [ 1 / 315 ] simplifiying candidate # 132.614 * [simplify]: Simplifying (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 132.614 * * [simplify]: iters left: 6 (11 enodes) 132.620 * * [simplify]: iters left: 5 (48 enodes) 132.637 * * [simplify]: iters left: 4 (77 enodes) 132.669 * * [simplify]: iters left: 3 (120 enodes) 132.694 * * [simplify]: iters left: 2 (218 enodes) 132.760 * * [simplify]: iters left: 1 (394 enodes) 132.925 * * [simplify]: Extracting #0: cost 1 inf + 0 132.925 * * [simplify]: Extracting #1: cost 3 inf + 0 132.925 * * [simplify]: Extracting #2: cost 29 inf + 0 132.926 * * [simplify]: Extracting #3: cost 109 inf + 1 132.927 * * [simplify]: Extracting #4: cost 179 inf + 176 132.929 * * [simplify]: Extracting #5: cost 171 inf + 1098 132.934 * * [simplify]: Extracting #6: cost 92 inf + 12160 132.948 * * [simplify]: Extracting #7: cost 26 inf + 47801 132.970 * * [simplify]: Extracting #8: cost 0 inf + 68613 132.995 * * [simplify]: Extracting #9: cost 0 inf + 64998 133.007 * [simplify]: Simplified to (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 133.007 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 133.007 * * * * [progress]: [ 2 / 315 ] simplifiying candidate # 133.008 * [simplify]: Simplifying (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 133.008 * * [simplify]: iters left: 6 (11 enodes) 133.011 * * [simplify]: iters left: 5 (48 enodes) 133.020 * * [simplify]: iters left: 4 (77 enodes) 133.045 * * [simplify]: iters left: 3 (120 enodes) 133.071 * * [simplify]: iters left: 2 (218 enodes) 133.127 * * [simplify]: iters left: 1 (394 enodes) 133.278 * * [simplify]: Extracting #0: cost 1 inf + 0 133.278 * * [simplify]: Extracting #1: cost 3 inf + 0 133.278 * * [simplify]: Extracting #2: cost 29 inf + 0 133.279 * * [simplify]: Extracting #3: cost 109 inf + 1 133.279 * * [simplify]: Extracting #4: cost 179 inf + 176 133.280 * * [simplify]: Extracting #5: cost 171 inf + 1098 133.283 * * [simplify]: Extracting #6: cost 92 inf + 12200 133.290 * * [simplify]: Extracting #7: cost 26 inf + 47841 133.304 * * [simplify]: Extracting #8: cost 0 inf + 68653 133.328 * * [simplify]: Extracting #9: cost 0 inf + 65038 133.354 * [simplify]: Simplified to (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 133.354 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 133.355 * * * * [progress]: [ 3 / 315 ] simplifiying candidate # 133.355 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 133.355 * * [simplify]: iters left: 6 (13 enodes) 133.363 * * [simplify]: iters left: 5 (54 enodes) 133.382 * * [simplify]: iters left: 4 (97 enodes) 133.425 * * [simplify]: iters left: 3 (252 enodes) 133.542 * * [simplify]: Extracting #0: cost 1 inf + 0 133.542 * * [simplify]: Extracting #1: cost 37 inf + 0 133.543 * * [simplify]: Extracting #2: cost 136 inf + 73 133.545 * * [simplify]: Extracting #3: cost 160 inf + 1982 133.549 * * [simplify]: Extracting #4: cost 55 inf + 26873 133.557 * * [simplify]: Extracting #5: cost 5 inf + 40601 133.566 * * [simplify]: Extracting #6: cost 0 inf + 42409 133.575 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 133.575 * [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))))) 133.575 * * * * [progress]: [ 4 / 315 ] simplifiying candidate # 133.575 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 133.576 * * [simplify]: iters left: 6 (12 enodes) 133.583 * * [simplify]: iters left: 5 (52 enodes) 133.596 * * [simplify]: iters left: 4 (90 enodes) 133.614 * * [simplify]: iters left: 3 (209 enodes) 133.696 * * [simplify]: Extracting #0: cost 1 inf + 0 133.696 * * [simplify]: Extracting #1: cost 33 inf + 0 133.697 * * [simplify]: Extracting #2: cost 117 inf + 73 133.698 * * [simplify]: Extracting #3: cost 141 inf + 1307 133.702 * * [simplify]: Extracting #4: cost 79 inf + 11364 133.710 * * [simplify]: Extracting #5: cost 30 inf + 22914 133.717 * * [simplify]: Extracting #6: cost 0 inf + 32222 133.723 * * [simplify]: Extracting #7: cost 0 inf + 32142 133.730 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 133.730 * [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))))) 133.731 * * * * [progress]: [ 5 / 315 ] simplifiying candidate # 133.731 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 133.731 * * [simplify]: iters left: 6 (11 enodes) 133.734 * * [simplify]: iters left: 5 (51 enodes) 133.747 * * [simplify]: iters left: 4 (97 enodes) 133.781 * * [simplify]: iters left: 3 (203 enodes) 133.852 * * [simplify]: Extracting #0: cost 1 inf + 0 133.853 * * [simplify]: Extracting #1: cost 35 inf + 0 133.853 * * [simplify]: Extracting #2: cost 119 inf + 2 133.854 * * [simplify]: Extracting #3: cost 150 inf + 702 133.857 * * [simplify]: Extracting #4: cost 96 inf + 7237 133.864 * * [simplify]: Extracting #5: cost 29 inf + 21171 133.873 * * [simplify]: Extracting #6: cost 6 inf + 26771 133.879 * * [simplify]: Extracting #7: cost 0 inf + 28612 133.888 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 133.888 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 133.888 * * * * [progress]: [ 6 / 315 ] simplifiying candidate # 133.889 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 133.889 * * [simplify]: iters left: 6 (11 enodes) 133.892 * * [simplify]: iters left: 5 (51 enodes) 133.902 * * [simplify]: iters left: 4 (97 enodes) 133.937 * * [simplify]: iters left: 3 (203 enodes) 134.041 * * [simplify]: Extracting #0: cost 1 inf + 0 134.041 * * [simplify]: Extracting #1: cost 35 inf + 0 134.041 * * [simplify]: Extracting #2: cost 119 inf + 2 134.043 * * [simplify]: Extracting #3: cost 150 inf + 702 134.044 * * [simplify]: Extracting #4: cost 96 inf + 7237 134.048 * * [simplify]: Extracting #5: cost 29 inf + 21171 134.053 * * [simplify]: Extracting #6: cost 6 inf + 26771 134.060 * * [simplify]: Extracting #7: cost 0 inf + 28612 134.066 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 134.066 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2))))) 134.066 * * * * [progress]: [ 7 / 315 ] simplifiying candidate # 134.066 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 134.066 * * [simplify]: iters left: 6 (6 enodes) 134.069 * * [simplify]: iters left: 5 (27 enodes) 134.076 * * [simplify]: iters left: 4 (47 enodes) 134.090 * * [simplify]: iters left: 3 (59 enodes) 134.104 * * [simplify]: iters left: 2 (79 enodes) 134.119 * * [simplify]: iters left: 1 (108 enodes) 134.136 * * [simplify]: Extracting #0: cost 1 inf + 0 134.137 * * [simplify]: Extracting #1: cost 10 inf + 0 134.137 * * [simplify]: Extracting #2: cost 19 inf + 3 134.137 * * [simplify]: Extracting #3: cost 15 inf + 131 134.138 * * [simplify]: Extracting #4: cost 1 inf + 1004 134.138 * * [simplify]: Extracting #5: cost 0 inf + 1086 134.139 * [simplify]: Simplified to (* 1/2 (- 1 k)) 134.139 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 134.140 * * * * [progress]: [ 8 / 315 ] simplifiying candidate # 134.140 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 134.140 * * [simplify]: iters left: 6 (6 enodes) 134.144 * * [simplify]: iters left: 5 (27 enodes) 134.154 * * [simplify]: iters left: 4 (47 enodes) 134.161 * * [simplify]: iters left: 3 (59 enodes) 134.171 * * [simplify]: iters left: 2 (79 enodes) 134.183 * * [simplify]: iters left: 1 (108 enodes) 134.215 * * [simplify]: Extracting #0: cost 1 inf + 0 134.216 * * [simplify]: Extracting #1: cost 10 inf + 0 134.216 * * [simplify]: Extracting #2: cost 19 inf + 3 134.216 * * [simplify]: Extracting #3: cost 15 inf + 131 134.217 * * [simplify]: Extracting #4: cost 1 inf + 1004 134.218 * * [simplify]: Extracting #5: cost 0 inf + 1086 134.218 * [simplify]: Simplified to (* 1/2 (- 1 k)) 134.218 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 134.219 * * * * [progress]: [ 9 / 315 ] simplifiying candidate # 134.219 * [simplify]: Simplifying (* 1 (/ (- 1 k) 2)) 134.219 * * [simplify]: iters left: 6 (6 enodes) 134.223 * * [simplify]: iters left: 5 (27 enodes) 134.231 * * [simplify]: iters left: 4 (47 enodes) 134.239 * * [simplify]: iters left: 3 (59 enodes) 134.249 * * [simplify]: iters left: 2 (79 enodes) 134.261 * * [simplify]: iters left: 1 (108 enodes) 134.278 * * [simplify]: Extracting #0: cost 1 inf + 0 134.278 * * [simplify]: Extracting #1: cost 10 inf + 0 134.279 * * [simplify]: Extracting #2: cost 19 inf + 3 134.279 * * [simplify]: Extracting #3: cost 15 inf + 131 134.280 * * [simplify]: Extracting #4: cost 1 inf + 1004 134.280 * * [simplify]: Extracting #5: cost 0 inf + 1086 134.281 * [simplify]: Simplified to (* 1/2 (- 1 k)) 134.281 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))))) 134.281 * * * * [progress]: [ 10 / 315 ] simplifiying candidate # 134.282 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 134.282 * * [simplify]: iters left: 5 (8 enodes) 134.288 * * [simplify]: iters left: 4 (35 enodes) 134.302 * * [simplify]: iters left: 3 (63 enodes) 134.329 * * [simplify]: iters left: 2 (108 enodes) 134.359 * * [simplify]: iters left: 1 (162 enodes) 134.410 * * [simplify]: Extracting #0: cost 1 inf + 0 134.410 * * [simplify]: Extracting #1: cost 12 inf + 0 134.410 * * [simplify]: Extracting #2: cost 40 inf + 2 134.411 * * [simplify]: Extracting #3: cost 40 inf + 9 134.412 * * [simplify]: Extracting #4: cost 25 inf + 2233 134.414 * * [simplify]: Extracting #5: cost 10 inf + 8991 134.417 * * [simplify]: Extracting #6: cost 0 inf + 14572 134.421 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 134.421 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* PI 2) n)) (pow (* n (* 2 PI)) (/ k 2)))))) 134.421 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 134.421 * * [simplify]: iters left: 5 (8 enodes) 134.426 * * [simplify]: iters left: 4 (31 enodes) 134.436 * * [simplify]: iters left: 3 (51 enodes) 134.453 * * [simplify]: iters left: 2 (85 enodes) 134.471 * * [simplify]: iters left: 1 (152 enodes) 134.510 * * [simplify]: Extracting #0: cost 1 inf + 0 134.510 * * [simplify]: Extracting #1: cost 13 inf + 0 134.511 * * [simplify]: Extracting #2: cost 60 inf + 1 134.511 * * [simplify]: Extracting #3: cost 75 inf + 9 134.512 * * [simplify]: Extracting #4: cost 41 inf + 3220 134.515 * * [simplify]: Extracting #5: cost 16 inf + 10552 134.521 * * [simplify]: Extracting #6: cost 0 inf + 20904 134.526 * * [simplify]: Extracting #7: cost 0 inf + 20373 134.531 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 134.531 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* PI 2) n)) (pow (* (* n 2) PI) (/ k 2)))))) 134.531 * * * * [progress]: [ 11 / 315 ] simplifiying candidate # 134.531 * [simplify]: Simplifying (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 134.531 * * [simplify]: iters left: 6 (12 enodes) 134.535 * * [simplify]: iters left: 5 (51 enodes) 134.543 * * [simplify]: iters left: 4 (79 enodes) 134.558 * * [simplify]: iters left: 3 (118 enodes) 134.593 * * [simplify]: iters left: 2 (199 enodes) 134.667 * * [simplify]: iters left: 1 (354 enodes) 134.817 * * [simplify]: Extracting #0: cost 1 inf + 0 134.817 * * [simplify]: Extracting #1: cost 27 inf + 0 134.817 * * [simplify]: Extracting #2: cost 112 inf + 1 134.818 * * [simplify]: Extracting #3: cost 194 inf + 175 134.819 * * [simplify]: Extracting #4: cost 203 inf + 429 134.820 * * [simplify]: Extracting #5: cost 208 inf + 429 134.822 * * [simplify]: Extracting #6: cost 200 inf + 1412 134.831 * * [simplify]: Extracting #7: cost 93 inf + 27530 134.861 * * [simplify]: Extracting #8: cost 23 inf + 71276 134.898 * * [simplify]: Extracting #9: cost 0 inf + 92839 134.934 * * [simplify]: Extracting #10: cost 0 inf + 91398 134.953 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) 134.953 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 134.953 * * * * [progress]: [ 12 / 315 ] simplifiying candidate # 134.953 * [simplify]: Simplifying (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) 134.954 * * [simplify]: iters left: 6 (11 enodes) 134.957 * * [simplify]: iters left: 5 (48 enodes) 134.965 * * [simplify]: iters left: 4 (74 enodes) 134.976 * * [simplify]: iters left: 3 (105 enodes) 134.997 * * [simplify]: iters left: 2 (161 enodes) 135.053 * * [simplify]: iters left: 1 (278 enodes) 135.227 * * [simplify]: Extracting #0: cost 1 inf + 0 135.227 * * [simplify]: Extracting #1: cost 29 inf + 0 135.228 * * [simplify]: Extracting #2: cost 103 inf + 1 135.229 * * [simplify]: Extracting #3: cost 133 inf + 174 135.230 * * [simplify]: Extracting #4: cost 132 inf + 388 135.232 * * [simplify]: Extracting #5: cost 129 inf + 556 135.235 * * [simplify]: Extracting #6: cost 86 inf + 11351 135.245 * * [simplify]: Extracting #7: cost 50 inf + 25422 135.266 * * [simplify]: Extracting #8: cost 1 inf + 70565 135.290 * * [simplify]: Extracting #9: cost 0 inf + 71813 135.304 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) 135.304 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 135.305 * * * * [progress]: [ 13 / 315 ] simplifiying candidate # 135.305 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) 135.305 * * [simplify]: iters left: 6 (14 enodes) 135.309 * * [simplify]: iters left: 5 (59 enodes) 135.319 * * [simplify]: iters left: 4 (104 enodes) 135.347 * * [simplify]: iters left: 3 (186 enodes) 135.389 * * [simplify]: iters left: 2 (434 enodes) 135.643 * * [simplify]: Extracting #0: cost 1 inf + 0 135.643 * * [simplify]: Extracting #1: cost 12 inf + 0 135.643 * * [simplify]: Extracting #2: cost 112 inf + 1 135.644 * * [simplify]: Extracting #3: cost 232 inf + 215 135.645 * * [simplify]: Extracting #4: cost 230 inf + 1838 135.650 * * [simplify]: Extracting #5: cost 162 inf + 17856 135.676 * * [simplify]: Extracting #6: cost 33 inf + 62390 135.707 * * [simplify]: Extracting #7: cost 2 inf + 84429 135.739 * * [simplify]: Extracting #8: cost 0 inf + 84580 135.760 * * [simplify]: Extracting #9: cost 0 inf + 84291 135.777 * * [simplify]: Extracting #10: cost 0 inf + 84213 135.802 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) 135.802 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 135.802 * * * * [progress]: [ 14 / 315 ] simplifiying candidate # 135.803 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) 135.803 * * [simplify]: iters left: 6 (13 enodes) 135.812 * * [simplify]: iters left: 5 (52 enodes) 135.829 * * [simplify]: iters left: 4 (82 enodes) 135.842 * * [simplify]: iters left: 3 (136 enodes) 135.875 * * [simplify]: iters left: 2 (272 enodes) 135.979 * * [simplify]: Extracting #0: cost 1 inf + 0 135.979 * * [simplify]: Extracting #1: cost 12 inf + 0 135.979 * * [simplify]: Extracting #2: cost 88 inf + 1 135.979 * * [simplify]: Extracting #3: cost 151 inf + 6 135.980 * * [simplify]: Extracting #4: cost 144 inf + 992 135.981 * * [simplify]: Extracting #5: cost 131 inf + 2339 135.984 * * [simplify]: Extracting #6: cost 59 inf + 21693 135.992 * * [simplify]: Extracting #7: cost 9 inf + 46808 136.005 * * [simplify]: Extracting #8: cost 0 inf + 55030 136.025 * * [simplify]: Extracting #9: cost 0 inf + 54610 136.044 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) 136.045 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 136.045 * * * * [progress]: [ 15 / 315 ] simplifiying candidate # 136.045 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) 136.045 * * [simplify]: iters left: 6 (12 enodes) 136.050 * * [simplify]: iters left: 5 (47 enodes) 136.059 * * [simplify]: iters left: 4 (83 enodes) 136.072 * * [simplify]: iters left: 3 (123 enodes) 136.111 * * [simplify]: iters left: 2 (221 enodes) 136.213 * * [simplify]: iters left: 1 (473 enodes) 136.559 * * [simplify]: Extracting #0: cost 1 inf + 0 136.560 * * [simplify]: Extracting #1: cost 34 inf + 0 136.560 * * [simplify]: Extracting #2: cost 135 inf + 1 136.561 * * [simplify]: Extracting #3: cost 212 inf + 136 136.562 * * [simplify]: Extracting #4: cost 213 inf + 431 136.563 * * [simplify]: Extracting #5: cost 211 inf + 515 136.566 * * [simplify]: Extracting #6: cost 142 inf + 14322 136.576 * * [simplify]: Extracting #7: cost 51 inf + 52633 136.595 * * [simplify]: Extracting #8: cost 11 inf + 89338 136.617 * * [simplify]: Extracting #9: cost 0 inf + 103865 136.655 * [simplify]: Simplified to (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) 136.655 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k)))) (/ (cbrt (- 1 k)) 2))))) 136.655 * * * * [progress]: [ 16 / 315 ] simplifiying candidate # 136.656 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) 136.656 * * [simplify]: iters left: 6 (13 enodes) 136.663 * * [simplify]: iters left: 5 (52 enodes) 136.680 * * [simplify]: iters left: 4 (80 enodes) 136.706 * * [simplify]: iters left: 3 (128 enodes) 136.754 * * [simplify]: iters left: 2 (246 enodes) 136.831 * * [simplify]: iters left: 1 (489 enodes) 137.217 * * [simplify]: Extracting #0: cost 1 inf + 0 137.217 * * [simplify]: Extracting #1: cost 30 inf + 0 137.217 * * [simplify]: Extracting #2: cost 204 inf + 1 137.219 * * [simplify]: Extracting #3: cost 422 inf + 743 137.222 * * [simplify]: Extracting #4: cost 379 inf + 9404 137.225 * * [simplify]: Extracting #5: cost 350 inf + 14022 137.239 * * [simplify]: Extracting #6: cost 172 inf + 57888 137.262 * * [simplify]: Extracting #7: cost 16 inf + 135359 137.305 * * [simplify]: Extracting #8: cost 0 inf + 150451 137.364 * * [simplify]: Extracting #9: cost 0 inf + 149971 137.420 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) 137.420 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 137.420 * * * * [progress]: [ 17 / 315 ] simplifiying candidate # 137.420 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) 137.421 * * [simplify]: iters left: 6 (12 enodes) 137.427 * * [simplify]: iters left: 5 (47 enodes) 137.441 * * [simplify]: iters left: 4 (71 enodes) 137.453 * * [simplify]: iters left: 3 (109 enodes) 137.473 * * [simplify]: iters left: 2 (192 enodes) 137.517 * * [simplify]: iters left: 1 (357 enodes) 137.746 * * [simplify]: Extracting #0: cost 1 inf + 0 137.746 * * [simplify]: Extracting #1: cost 29 inf + 0 137.746 * * [simplify]: Extracting #2: cost 135 inf + 1 137.753 * * [simplify]: Extracting #3: cost 251 inf + 255 137.756 * * [simplify]: Extracting #4: cost 225 inf + 3400 137.759 * * [simplify]: Extracting #5: cost 205 inf + 5445 137.768 * * [simplify]: Extracting #6: cost 122 inf + 23316 137.788 * * [simplify]: Extracting #7: cost 43 inf + 53612 137.806 * * [simplify]: Extracting #8: cost 2 inf + 92427 137.826 * * [simplify]: Extracting #9: cost 0 inf + 94805 137.847 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) 137.847 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 137.847 * * * * [progress]: [ 18 / 315 ] simplifiying candidate # 137.847 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) 137.848 * * [simplify]: iters left: 6 (11 enodes) 137.851 * * [simplify]: iters left: 5 (42 enodes) 137.860 * * [simplify]: iters left: 4 (64 enodes) 137.875 * * [simplify]: iters left: 3 (98 enodes) 137.890 * * [simplify]: iters left: 2 (156 enodes) 137.936 * * [simplify]: iters left: 1 (280 enodes) 138.065 * * [simplify]: Extracting #0: cost 1 inf + 0 138.065 * * [simplify]: Extracting #1: cost 30 inf + 0 138.066 * * [simplify]: Extracting #2: cost 110 inf + 1 138.067 * * [simplify]: Extracting #3: cost 133 inf + 133 138.068 * * [simplify]: Extracting #4: cost 128 inf + 429 138.069 * * [simplify]: Extracting #5: cost 118 inf + 1666 138.076 * * [simplify]: Extracting #6: cost 62 inf + 21931 138.094 * * [simplify]: Extracting #7: cost 7 inf + 67089 138.116 * * [simplify]: Extracting #8: cost 0 inf + 70630 138.137 * [simplify]: Simplified to (pow (* (* PI 2) n) (sqrt (- 1 k))) 138.137 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (sqrt (- 1 k))) (/ (sqrt (- 1 k)) 2))))) 138.138 * * * * [progress]: [ 19 / 315 ] simplifiying candidate # 138.138 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 138.138 * * [simplify]: iters left: 6 (10 enodes) 138.144 * * [simplify]: iters left: 5 (41 enodes) 138.159 * * [simplify]: iters left: 4 (66 enodes) 138.173 * * [simplify]: iters left: 3 (116 enodes) 138.199 * * [simplify]: iters left: 2 (219 enodes) 138.302 * * [simplify]: iters left: 1 (499 enodes) 138.667 * * [simplify]: Extracting #0: cost 1 inf + 0 138.667 * * [simplify]: Extracting #1: cost 35 inf + 0 138.667 * * [simplify]: Extracting #2: cost 129 inf + 1 138.668 * * [simplify]: Extracting #3: cost 198 inf + 827 138.672 * * [simplify]: Extracting #4: cost 122 inf + 18089 138.683 * * [simplify]: Extracting #5: cost 25 inf + 62444 138.710 * * [simplify]: Extracting #6: cost 0 inf + 84055 138.726 * * [simplify]: Extracting #7: cost 0 inf + 83884 138.753 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 138.754 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 138.754 * * * * [progress]: [ 20 / 315 ] simplifiying candidate # 138.754 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 138.754 * * [simplify]: iters left: 5 (9 enodes) 138.760 * * [simplify]: iters left: 4 (36 enodes) 138.772 * * [simplify]: iters left: 3 (57 enodes) 138.792 * * [simplify]: iters left: 2 (96 enodes) 138.824 * * [simplify]: iters left: 1 (171 enodes) 138.872 * * [simplify]: Extracting #0: cost 1 inf + 0 138.872 * * [simplify]: Extracting #1: cost 12 inf + 0 138.872 * * [simplify]: Extracting #2: cost 50 inf + 1 138.872 * * [simplify]: Extracting #3: cost 73 inf + 6 138.873 * * [simplify]: Extracting #4: cost 58 inf + 1463 138.874 * * [simplify]: Extracting #5: cost 24 inf + 7936 138.877 * * [simplify]: Extracting #6: cost 2 inf + 20820 138.881 * * [simplify]: Extracting #7: cost 0 inf + 22437 138.884 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 138.884 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 138.884 * * * * [progress]: [ 21 / 315 ] simplifiying candidate # 138.884 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 138.884 * * [simplify]: iters left: 5 (8 enodes) 138.888 * * [simplify]: iters left: 4 (34 enodes) 138.896 * * [simplify]: iters left: 3 (64 enodes) 138.918 * * [simplify]: iters left: 2 (105 enodes) 138.959 * * [simplify]: iters left: 1 (177 enodes) 139.025 * * [simplify]: Extracting #0: cost 1 inf + 0 139.025 * * [simplify]: Extracting #1: cost 17 inf + 0 139.025 * * [simplify]: Extracting #2: cost 34 inf + 46 139.026 * * [simplify]: Extracting #3: cost 26 inf + 466 139.027 * * [simplify]: Extracting #4: cost 11 inf + 6543 139.029 * * [simplify]: Extracting #5: cost 1 inf + 10885 139.032 * * [simplify]: Extracting #6: cost 0 inf + 11179 139.035 * [simplify]: Simplified to (* (* PI 2) n) 139.035 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 139.036 * * * * [progress]: [ 22 / 315 ] simplifiying candidate # 139.036 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) 139.036 * * [simplify]: iters left: 6 (14 enodes) 139.044 * * [simplify]: iters left: 5 (54 enodes) 139.061 * * [simplify]: iters left: 4 (79 enodes) 139.086 * * [simplify]: iters left: 3 (128 enodes) 139.108 * * [simplify]: iters left: 2 (254 enodes) 139.172 * * [simplify]: Extracting #0: cost 1 inf + 0 139.172 * * [simplify]: Extracting #1: cost 12 inf + 0 139.172 * * [simplify]: Extracting #2: cost 77 inf + 1 139.173 * * [simplify]: Extracting #3: cost 138 inf + 6 139.173 * * [simplify]: Extracting #4: cost 120 inf + 2850 139.174 * * [simplify]: Extracting #5: cost 100 inf + 5521 139.177 * * [simplify]: Extracting #6: cost 51 inf + 18163 139.183 * * [simplify]: Extracting #7: cost 10 inf + 40091 139.191 * * [simplify]: Extracting #8: cost 1 inf + 48527 139.199 * * [simplify]: Extracting #9: cost 0 inf + 49395 139.207 * * [simplify]: Extracting #10: cost 0 inf + 49355 139.216 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 139.216 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))) 139.216 * * * * [progress]: [ 23 / 315 ] simplifiying candidate # 139.216 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) 139.216 * * [simplify]: iters left: 6 (13 enodes) 139.220 * * [simplify]: iters left: 5 (49 enodes) 139.228 * * [simplify]: iters left: 4 (70 enodes) 139.250 * * [simplify]: iters left: 3 (109 enodes) 139.269 * * [simplify]: iters left: 2 (197 enodes) 139.320 * * [simplify]: iters left: 1 (359 enodes) 139.493 * * [simplify]: Extracting #0: cost 1 inf + 0 139.494 * * [simplify]: Extracting #1: cost 28 inf + 0 139.499 * * [simplify]: Extracting #2: cost 147 inf + 1 139.501 * * [simplify]: Extracting #3: cost 239 inf + 301 139.503 * * [simplify]: Extracting #4: cost 242 inf + 553 139.507 * * [simplify]: Extracting #5: cost 200 inf + 5395 139.516 * * [simplify]: Extracting #6: cost 113 inf + 24066 139.540 * * [simplify]: Extracting #7: cost 27 inf + 67703 139.564 * * [simplify]: Extracting #8: cost 2 inf + 91941 139.581 * * [simplify]: Extracting #9: cost 0 inf + 93353 139.609 * * [simplify]: Extracting #10: cost 0 inf + 92703 139.638 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 139.638 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))) 139.638 * * * * [progress]: [ 24 / 315 ] simplifiying candidate # 139.638 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) 139.638 * * [simplify]: iters left: 6 (12 enodes) 139.642 * * [simplify]: iters left: 5 (44 enodes) 139.650 * * [simplify]: iters left: 4 (63 enodes) 139.671 * * [simplify]: iters left: 3 (96 enodes) 139.686 * * [simplify]: iters left: 2 (161 enodes) 139.729 * * [simplify]: iters left: 1 (290 enodes) 139.852 * * [simplify]: Extracting #0: cost 1 inf + 0 139.853 * * [simplify]: Extracting #1: cost 27 inf + 0 139.853 * * [simplify]: Extracting #2: cost 96 inf + 1 139.854 * * [simplify]: Extracting #3: cost 132 inf + 215 139.855 * * [simplify]: Extracting #4: cost 124 inf + 609 139.857 * * [simplify]: Extracting #5: cost 77 inf + 11236 139.862 * * [simplify]: Extracting #6: cost 27 inf + 36948 139.871 * * [simplify]: Extracting #7: cost 3 inf + 60599 139.882 * * [simplify]: Extracting #8: cost 0 inf + 62560 139.900 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 139.900 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- (sqrt 1) (sqrt k)) 2))))) 139.900 * * * * [progress]: [ 25 / 315 ] simplifiying candidate # 139.900 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 139.900 * * [simplify]: iters left: 6 (13 enodes) 139.904 * * [simplify]: iters left: 5 (51 enodes) 139.912 * * [simplify]: iters left: 4 (76 enodes) 139.928 * * [simplify]: iters left: 3 (124 enodes) 139.971 * * [simplify]: iters left: 2 (250 enodes) 140.044 * * [simplify]: Extracting #0: cost 1 inf + 0 140.044 * * [simplify]: Extracting #1: cost 13 inf + 0 140.045 * * [simplify]: Extracting #2: cost 76 inf + 1 140.045 * * [simplify]: Extracting #3: cost 135 inf + 209 140.046 * * [simplify]: Extracting #4: cost 115 inf + 3416 140.047 * * [simplify]: Extracting #5: cost 97 inf + 6088 140.053 * * [simplify]: Extracting #6: cost 51 inf + 17292 140.064 * * [simplify]: Extracting #7: cost 10 inf + 38414 140.080 * * [simplify]: Extracting #8: cost 0 inf + 47532 140.094 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) 140.095 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 140.095 * * * * [progress]: [ 26 / 315 ] simplifiying candidate # 140.095 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) 140.095 * * [simplify]: iters left: 6 (12 enodes) 140.102 * * [simplify]: iters left: 5 (46 enodes) 140.117 * * [simplify]: iters left: 4 (67 enodes) 140.130 * * [simplify]: iters left: 3 (106 enodes) 140.153 * * [simplify]: iters left: 2 (197 enodes) 140.206 * * [simplify]: iters left: 1 (361 enodes) 140.386 * * [simplify]: Extracting #0: cost 1 inf + 0 140.386 * * [simplify]: Extracting #1: cost 30 inf + 0 140.387 * * [simplify]: Extracting #2: cost 143 inf + 1 140.389 * * [simplify]: Extracting #3: cost 241 inf + 217 140.391 * * [simplify]: Extracting #4: cost 235 inf + 1328 140.394 * * [simplify]: Extracting #5: cost 200 inf + 5397 140.405 * * [simplify]: Extracting #6: cost 106 inf + 27712 140.436 * * [simplify]: Extracting #7: cost 21 inf + 75125 140.480 * * [simplify]: Extracting #8: cost 0 inf + 91395 140.526 * * [simplify]: Extracting #9: cost 0 inf + 87671 140.555 * * [simplify]: Extracting #10: cost 0 inf + 87151 140.600 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) 140.600 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 140.601 * * * * [progress]: [ 27 / 315 ] simplifiying candidate # 140.601 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) 140.601 * * [simplify]: iters left: 6 (11 enodes) 140.607 * * [simplify]: iters left: 5 (41 enodes) 140.621 * * [simplify]: iters left: 4 (60 enodes) 140.639 * * [simplify]: iters left: 3 (94 enodes) 140.655 * * [simplify]: iters left: 2 (156 enodes) 140.711 * * [simplify]: iters left: 1 (287 enodes) 140.851 * * [simplify]: Extracting #0: cost 1 inf + 0 140.851 * * [simplify]: Extracting #1: cost 29 inf + 0 140.851 * * [simplify]: Extracting #2: cost 102 inf + 1 140.852 * * [simplify]: Extracting #3: cost 133 inf + 216 140.852 * * [simplify]: Extracting #4: cost 129 inf + 347 140.853 * * [simplify]: Extracting #5: cost 123 inf + 718 140.855 * * [simplify]: Extracting #6: cost 69 inf + 14066 140.862 * * [simplify]: Extracting #7: cost 11 inf + 54785 140.873 * * [simplify]: Extracting #8: cost 0 inf + 65444 140.892 * [simplify]: Simplified to (pow (* (* PI 2) n) (+ 1 (sqrt k))) 140.893 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (+ 1 (sqrt k))) (/ (- 1 (sqrt k)) 2))))) 140.893 * * * * [progress]: [ 28 / 315 ] simplifiying candidate # 140.893 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) 140.893 * * [simplify]: iters left: 6 (10 enodes) 140.899 * * [simplify]: iters left: 5 (41 enodes) 140.908 * * [simplify]: iters left: 4 (66 enodes) 140.924 * * [simplify]: iters left: 3 (116 enodes) 140.955 * * [simplify]: iters left: 2 (219 enodes) 141.051 * * [simplify]: iters left: 1 (499 enodes) 141.431 * * [simplify]: Extracting #0: cost 1 inf + 0 141.431 * * [simplify]: Extracting #1: cost 35 inf + 0 141.432 * * [simplify]: Extracting #2: cost 129 inf + 1 141.433 * * [simplify]: Extracting #3: cost 198 inf + 827 141.441 * * [simplify]: Extracting #4: cost 122 inf + 18089 141.455 * * [simplify]: Extracting #5: cost 25 inf + 62444 141.471 * * [simplify]: Extracting #6: cost 0 inf + 84055 141.491 * * [simplify]: Extracting #7: cost 0 inf + 83884 141.517 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) 141.517 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 141.517 * * * * [progress]: [ 29 / 315 ] simplifiying candidate # 141.517 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) 141.517 * * [simplify]: iters left: 5 (9 enodes) 141.520 * * [simplify]: iters left: 4 (36 enodes) 141.526 * * [simplify]: iters left: 3 (57 enodes) 141.536 * * [simplify]: iters left: 2 (96 enodes) 141.557 * * [simplify]: iters left: 1 (171 enodes) 141.616 * * [simplify]: Extracting #0: cost 1 inf + 0 141.616 * * [simplify]: Extracting #1: cost 12 inf + 0 141.616 * * [simplify]: Extracting #2: cost 50 inf + 1 141.617 * * [simplify]: Extracting #3: cost 73 inf + 6 141.617 * * [simplify]: Extracting #4: cost 58 inf + 1463 141.618 * * [simplify]: Extracting #5: cost 24 inf + 7936 141.621 * * [simplify]: Extracting #6: cost 2 inf + 20820 141.625 * * [simplify]: Extracting #7: cost 0 inf + 22437 141.628 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ 1 (sqrt 2))) 141.628 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 141.628 * * * * [progress]: [ 30 / 315 ] simplifiying candidate # 141.628 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 1)) 141.629 * * [simplify]: iters left: 5 (8 enodes) 141.631 * * [simplify]: iters left: 4 (34 enodes) 141.642 * * [simplify]: iters left: 3 (64 enodes) 141.654 * * [simplify]: iters left: 2 (105 enodes) 141.673 * * [simplify]: iters left: 1 (177 enodes) 141.707 * * [simplify]: Extracting #0: cost 1 inf + 0 141.707 * * [simplify]: Extracting #1: cost 17 inf + 0 141.707 * * [simplify]: Extracting #2: cost 34 inf + 46 141.707 * * [simplify]: Extracting #3: cost 26 inf + 466 141.708 * * [simplify]: Extracting #4: cost 11 inf + 6543 141.709 * * [simplify]: Extracting #5: cost 1 inf + 10885 141.711 * * [simplify]: Extracting #6: cost 0 inf + 11179 141.715 * [simplify]: Simplified to (* (* PI 2) n) 141.715 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 141.715 * * * * [progress]: [ 31 / 315 ] simplifiying candidate # 141.715 * [simplify]: Simplifying (pow (* n (* 2 PI)) 1) 141.715 * * [simplify]: iters left: 5 (7 enodes) 141.718 * * [simplify]: iters left: 4 (30 enodes) 141.724 * * [simplify]: iters left: 3 (58 enodes) 141.737 * * [simplify]: iters left: 2 (99 enodes) 141.770 * * [simplify]: iters left: 1 (171 enodes) 141.811 * * [simplify]: Extracting #0: cost 1 inf + 0 141.811 * * [simplify]: Extracting #1: cost 18 inf + 0 141.811 * * [simplify]: Extracting #2: cost 35 inf + 46 141.811 * * [simplify]: Extracting #3: cost 25 inf + 1347 141.812 * * [simplify]: Extracting #4: cost 14 inf + 5442 141.813 * * [simplify]: Extracting #5: cost 7 inf + 7909 141.814 * * [simplify]: Extracting #6: cost 0 inf + 11764 141.816 * [simplify]: Simplified to (* (* PI 2) n) 141.816 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2))))) 141.816 * * * * [progress]: [ 32 / 315 ] simplifiying candidate # 141.816 * [simplify]: Simplifying (pow (* n (* 2 PI)) (- 1 k)) 141.816 * * [simplify]: iters left: 5 (9 enodes) 141.819 * * [simplify]: iters left: 4 (38 enodes) 141.826 * * [simplify]: iters left: 3 (64 enodes) 141.836 * * [simplify]: iters left: 2 (102 enodes) 141.854 * * [simplify]: iters left: 1 (175 enodes) 141.889 * * [simplify]: Extracting #0: cost 1 inf + 0 141.889 * * [simplify]: Extracting #1: cost 13 inf + 0 141.889 * * [simplify]: Extracting #2: cost 59 inf + 1 141.889 * * [simplify]: Extracting #3: cost 82 inf + 132 141.890 * * [simplify]: Extracting #4: cost 42 inf + 5349 141.892 * * [simplify]: Extracting #5: cost 14 inf + 14425 141.896 * * [simplify]: Extracting #6: cost 0 inf + 23442 141.899 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1 k)) 141.899 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) (- 1 k)) (/ 1 2))))) 141.899 * * * * [progress]: [ 33 / 315 ] simplifiying candidate # 141.900 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 141.900 * * [simplify]: iters left: 5 (7 enodes) 141.902 * * [simplify]: iters left: 4 (32 enodes) 141.909 * * [simplify]: iters left: 3 (57 enodes) 141.918 * * [simplify]: iters left: 2 (90 enodes) 141.940 * * [simplify]: iters left: 1 (170 enodes) 142.010 * * [simplify]: Extracting #0: cost 1 inf + 0 142.010 * * [simplify]: Extracting #1: cost 13 inf + 0 142.010 * * [simplify]: Extracting #2: cost 55 inf + 2 142.011 * * [simplify]: Extracting #3: cost 88 inf + 6 142.011 * * [simplify]: Extracting #4: cost 77 inf + 1344 142.015 * * [simplify]: Extracting #5: cost 20 inf + 14540 142.021 * * [simplify]: Extracting #6: cost 1 inf + 21921 142.027 * * [simplify]: Extracting #7: cost 0 inf + 21176 142.031 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 142.032 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 142.032 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 142.032 * * [simplify]: iters left: 5 (8 enodes) 142.034 * * [simplify]: iters left: 4 (36 enodes) 142.041 * * [simplify]: iters left: 3 (57 enodes) 142.050 * * [simplify]: iters left: 2 (92 enodes) 142.069 * * [simplify]: iters left: 1 (188 enodes) 142.108 * * [simplify]: Extracting #0: cost 1 inf + 0 142.108 * * [simplify]: Extracting #1: cost 13 inf + 0 142.108 * * [simplify]: Extracting #2: cost 58 inf + 1 142.108 * * [simplify]: Extracting #3: cost 91 inf + 6 142.109 * * [simplify]: Extracting #4: cost 87 inf + 1138 142.110 * * [simplify]: Extracting #5: cost 35 inf + 9706 142.113 * * [simplify]: Extracting #6: cost 17 inf + 12930 142.116 * * [simplify]: Extracting #7: cost 0 inf + 24388 142.119 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 142.119 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 142.119 * * * * [progress]: [ 34 / 315 ] simplifiying candidate # 142.120 * * * * [progress]: [ 35 / 315 ] simplifiying candidate # 142.120 * [simplify]: Simplifying (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 142.120 * * [simplify]: iters left: 6 (11 enodes) 142.123 * * [simplify]: iters left: 5 (50 enodes) 142.132 * * [simplify]: iters left: 4 (97 enodes) 142.148 * * [simplify]: iters left: 3 (196 enodes) 142.209 * * [simplify]: Extracting #0: cost 1 inf + 0 142.209 * * [simplify]: Extracting #1: cost 49 inf + 0 142.210 * * [simplify]: Extracting #2: cost 135 inf + 1 142.211 * * [simplify]: Extracting #3: cost 177 inf + 639 142.212 * * [simplify]: Extracting #4: cost 133 inf + 7119 142.217 * * [simplify]: Extracting #5: cost 24 inf + 30350 142.224 * * [simplify]: Extracting #6: cost 0 inf + 37308 142.231 * * [simplify]: Extracting #7: cost 0 inf + 37228 142.237 * [simplify]: Simplified to (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) 142.237 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* PI 2) n)) (/ (- 1 k) 2)))))) 142.237 * * * * [progress]: [ 36 / 315 ] simplifiying candidate # 142.238 * [simplify]: Simplifying (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 142.238 * * [simplify]: iters left: 6 (11 enodes) 142.242 * * [simplify]: iters left: 5 (48 enodes) 142.262 * * [simplify]: iters left: 4 (79 enodes) 142.281 * * [simplify]: iters left: 3 (127 enodes) 142.308 * * [simplify]: iters left: 2 (246 enodes) 142.365 * * [simplify]: iters left: 1 (492 enodes) 142.544 * * [simplify]: Extracting #0: cost 1 inf + 0 142.544 * * [simplify]: Extracting #1: cost 26 inf + 0 142.545 * * [simplify]: Extracting #2: cost 138 inf + 0 142.545 * * [simplify]: Extracting #3: cost 275 inf + 4 142.547 * * [simplify]: Extracting #4: cost 297 inf + 182 142.548 * * [simplify]: Extracting #5: cost 276 inf + 2211 142.551 * * [simplify]: Extracting #6: cost 200 inf + 16237 142.570 * * [simplify]: Extracting #7: cost 72 inf + 103508 142.603 * * [simplify]: Extracting #8: cost 6 inf + 151479 142.627 * * [simplify]: Extracting #9: cost 0 inf + 152994 142.676 * [simplify]: Simplified to (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))) 142.676 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* PI 2) n) (/ (- 1 k) 2))))))) 142.676 * * * * [progress]: [ 37 / 315 ] simplifiying candidate # 142.677 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 142.677 * * [simplify]: iters left: 6 (12 enodes) 142.684 * * [simplify]: iters left: 5 (51 enodes) 142.701 * * [simplify]: iters left: 4 (84 enodes) 142.729 * * [simplify]: iters left: 3 (127 enodes) 142.772 * * [simplify]: iters left: 2 (212 enodes) 142.827 * * [simplify]: iters left: 1 (389 enodes) 142.993 * * [simplify]: Extracting #0: cost 1 inf + 0 142.993 * * [simplify]: Extracting #1: cost 3 inf + 0 142.993 * * [simplify]: Extracting #2: cost 5 inf + 0 142.993 * * [simplify]: Extracting #3: cost 34 inf + 0 142.994 * * [simplify]: Extracting #4: cost 116 inf + 1 142.994 * * [simplify]: Extracting #5: cost 167 inf + 176 142.995 * * [simplify]: Extracting #6: cost 165 inf + 726 142.998 * * [simplify]: Extracting #7: cost 91 inf + 13517 143.008 * * [simplify]: Extracting #8: cost 25 inf + 46336 143.028 * * [simplify]: Extracting #9: cost 0 inf + 68280 143.049 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 143.049 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 143.049 * [simplify]: Simplifying (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 143.050 * * [simplify]: iters left: 6 (11 enodes) 143.056 * * [simplify]: iters left: 5 (48 enodes) 143.073 * * [simplify]: iters left: 4 (77 enodes) 143.098 * * [simplify]: iters left: 3 (120 enodes) 143.140 * * [simplify]: iters left: 2 (218 enodes) 143.197 * * [simplify]: iters left: 1 (394 enodes) 143.389 * * [simplify]: Extracting #0: cost 1 inf + 0 143.389 * * [simplify]: Extracting #1: cost 3 inf + 0 143.389 * * [simplify]: Extracting #2: cost 29 inf + 0 143.390 * * [simplify]: Extracting #3: cost 109 inf + 1 143.391 * * [simplify]: Extracting #4: cost 179 inf + 176 143.393 * * [simplify]: Extracting #5: cost 171 inf + 1098 143.396 * * [simplify]: Extracting #6: cost 92 inf + 12180 143.404 * * [simplify]: Extracting #7: cost 26 inf + 47821 143.415 * * [simplify]: Extracting #8: cost 0 inf + 68633 143.431 * * [simplify]: Extracting #9: cost 0 inf + 65018 143.448 * [simplify]: Simplified to (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 143.448 * [simplify]: Simplified (2 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)))))))) 143.448 * * * * [progress]: [ 38 / 315 ] simplifiying candidate # 143.449 * [simplify]: Simplifying (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 143.449 * * [simplify]: iters left: 6 (12 enodes) 143.457 * * [simplify]: iters left: 5 (54 enodes) 143.476 * * [simplify]: iters left: 4 (107 enodes) 143.519 * * [simplify]: iters left: 3 (222 enodes) 143.613 * * [simplify]: iters left: 2 (475 enodes) 143.925 * * [simplify]: Extracting #0: cost 1 inf + 0 143.925 * * [simplify]: Extracting #1: cost 47 inf + 0 143.926 * * [simplify]: Extracting #2: cost 142 inf + 3 143.927 * * [simplify]: Extracting #3: cost 194 inf + 5 143.928 * * [simplify]: Extracting #4: cost 194 inf + 1683 143.930 * * [simplify]: Extracting #5: cost 137 inf + 12622 143.945 * * [simplify]: Extracting #6: cost 45 inf + 79968 143.981 * * [simplify]: Extracting #7: cost 0 inf + 123726 144.018 * * [simplify]: Extracting #8: cost 0 inf + 120622 144.055 * * [simplify]: Extracting #9: cost 0 inf + 120571 144.086 * [simplify]: Simplified to (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3) 144.086 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (cbrt (pow (pow (* (* PI 2) n) (- 1/2 (/ k 2))) 3))))) 144.086 * * * * [progress]: [ 39 / 315 ] simplifiying candidate # 144.087 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 144.087 * * [simplify]: iters left: 6 (11 enodes) 144.090 * * [simplify]: iters left: 5 (48 enodes) 144.099 * * [simplify]: iters left: 4 (78 enodes) 144.116 * * [simplify]: iters left: 3 (122 enodes) 144.149 * * [simplify]: iters left: 2 (223 enodes) 144.198 * * [simplify]: iters left: 1 (410 enodes) 144.391 * * [simplify]: Extracting #0: cost 1 inf + 0 144.391 * * [simplify]: Extracting #1: cost 4 inf + 0 144.391 * * [simplify]: Extracting #2: cost 34 inf + 0 144.392 * * [simplify]: Extracting #3: cost 129 inf + 1 144.393 * * [simplify]: Extracting #4: cost 173 inf + 220 144.395 * * [simplify]: Extracting #5: cost 166 inf + 932 144.400 * * [simplify]: Extracting #6: cost 88 inf + 11591 144.414 * * [simplify]: Extracting #7: cost 23 inf + 44560 144.436 * * [simplify]: Extracting #8: cost 0 inf + 67855 144.451 * * [simplify]: Extracting #9: cost 0 inf + 67735 144.462 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 144.462 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 144.463 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 144.463 * * [simplify]: iters left: 6 (11 enodes) 144.466 * * [simplify]: iters left: 5 (48 enodes) 144.478 * * [simplify]: iters left: 4 (78 enodes) 144.509 * * [simplify]: iters left: 3 (122 enodes) 144.548 * * [simplify]: iters left: 2 (223 enodes) 144.599 * * [simplify]: iters left: 1 (410 enodes) 144.782 * * [simplify]: Extracting #0: cost 1 inf + 0 144.782 * * [simplify]: Extracting #1: cost 4 inf + 0 144.783 * * [simplify]: Extracting #2: cost 34 inf + 0 144.783 * * [simplify]: Extracting #3: cost 129 inf + 1 144.784 * * [simplify]: Extracting #4: cost 173 inf + 220 144.785 * * [simplify]: Extracting #5: cost 166 inf + 932 144.791 * * [simplify]: Extracting #6: cost 88 inf + 11591 144.798 * * [simplify]: Extracting #7: cost 23 inf + 44560 144.817 * * [simplify]: Extracting #8: cost 0 inf + 67855 144.828 * * [simplify]: Extracting #9: cost 0 inf + 67735 144.840 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 144.840 * [simplify]: Simplified (2 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)))))))) 144.840 * * * * [progress]: [ 40 / 315 ] simplifiying candidate # 144.840 * * * * [progress]: [ 41 / 315 ] simplifiying candidate # 144.840 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 144.840 * * [simplify]: iters left: 6 (11 enodes) 144.844 * * [simplify]: iters left: 5 (51 enodes) 144.862 * * [simplify]: iters left: 4 (87 enodes) 144.892 * * [simplify]: iters left: 3 (146 enodes) 144.924 * * [simplify]: iters left: 2 (263 enodes) 144.990 * * [simplify]: iters left: 1 (487 enodes) 145.228 * * [simplify]: Extracting #0: cost 1 inf + 0 145.228 * * [simplify]: Extracting #1: cost 26 inf + 0 145.229 * * [simplify]: Extracting #2: cost 106 inf + 1 145.230 * * [simplify]: Extracting #3: cost 193 inf + 178 145.232 * * [simplify]: Extracting #4: cost 194 inf + 772 145.237 * * [simplify]: Extracting #5: cost 111 inf + 9358 145.250 * * [simplify]: Extracting #6: cost 38 inf + 33372 145.271 * * [simplify]: Extracting #7: cost 1 inf + 64754 145.294 * * [simplify]: Extracting #8: cost 0 inf + 63763 145.322 * * [simplify]: Extracting #9: cost 0 inf + 63592 145.345 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 145.345 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 145.346 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 145.346 * * [simplify]: iters left: 6 (11 enodes) 145.353 * * [simplify]: iters left: 5 (51 enodes) 145.368 * * [simplify]: iters left: 4 (87 enodes) 145.384 * * [simplify]: iters left: 3 (146 enodes) 145.424 * * [simplify]: iters left: 2 (263 enodes) 145.512 * * [simplify]: iters left: 1 (487 enodes) 145.721 * * [simplify]: Extracting #0: cost 1 inf + 0 145.721 * * [simplify]: Extracting #1: cost 26 inf + 0 145.722 * * [simplify]: Extracting #2: cost 106 inf + 1 145.723 * * [simplify]: Extracting #3: cost 193 inf + 178 145.725 * * [simplify]: Extracting #4: cost 194 inf + 772 145.731 * * [simplify]: Extracting #5: cost 111 inf + 9358 145.743 * * [simplify]: Extracting #6: cost 38 inf + 33372 145.764 * * [simplify]: Extracting #7: cost 1 inf + 64754 145.775 * * [simplify]: Extracting #8: cost 0 inf + 63763 145.787 * * [simplify]: Extracting #9: cost 0 inf + 63592 145.806 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 145.806 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))))) 145.806 * * * * [progress]: [ 42 / 315 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 145.807 * [simplify]: Simplifying (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 145.807 * * [simplify]: iters left: 6 (11 enodes) 145.814 * * [simplify]: iters left: 5 (45 enodes) 145.829 * * [simplify]: iters left: 4 (74 enodes) 145.856 * * [simplify]: iters left: 3 (118 enodes) 145.899 * * [simplify]: iters left: 2 (216 enodes) 145.949 * * [simplify]: iters left: 1 (389 enodes) 146.130 * * [simplify]: Extracting #0: cost 1 inf + 0 146.130 * * [simplify]: Extracting #1: cost 2 inf + 0 146.130 * * [simplify]: Extracting #2: cost 30 inf + 0 146.131 * * [simplify]: Extracting #3: cost 111 inf + 1 146.132 * * [simplify]: Extracting #4: cost 170 inf + 218 146.134 * * [simplify]: Extracting #5: cost 169 inf + 561 146.136 * * [simplify]: Extracting #6: cost 108 inf + 8147 146.141 * * [simplify]: Extracting #7: cost 43 inf + 32044 146.152 * * [simplify]: Extracting #8: cost 3 inf + 66900 146.168 * * [simplify]: Extracting #9: cost 0 inf + 69376 146.179 * [simplify]: Simplified to (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) 146.179 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* PI 2) n) (* 1/2 (- 1 k)))))))) 146.180 * * * * [progress]: [ 43 / 315 ] simplifiying candidate # 146.180 * [simplify]: Simplifying (expm1 (* n (* 2 PI))) 146.180 * * [simplify]: iters left: 5 (6 enodes) 146.182 * * [simplify]: iters left: 4 (22 enodes) 146.185 * * [simplify]: iters left: 3 (30 enodes) 146.189 * * [simplify]: iters left: 2 (35 enodes) 146.194 * * [simplify]: Extracting #0: cost 1 inf + 0 146.194 * * [simplify]: Extracting #1: cost 3 inf + 0 146.194 * * [simplify]: Extracting #2: cost 10 inf + 0 146.194 * * [simplify]: Extracting #3: cost 10 inf + 3 146.194 * * [simplify]: Extracting #4: cost 6 inf + 171 146.194 * * [simplify]: Extracting #5: cost 1 inf + 574 146.194 * * [simplify]: Extracting #6: cost 0 inf + 727 146.195 * [simplify]: Simplified to (expm1 (* (* PI 2) n)) 146.195 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* (* PI 2) n))) (/ (- 1 k) 2))))) 146.195 * * * * [progress]: [ 44 / 315 ] simplifiying candidate # 146.195 * [simplify]: Simplifying (log1p (* n (* 2 PI))) 146.195 * * [simplify]: iters left: 5 (6 enodes) 146.197 * * [simplify]: iters left: 4 (22 enodes) 146.200 * * [simplify]: iters left: 3 (30 enodes) 146.205 * * [simplify]: iters left: 2 (35 enodes) 146.209 * * [simplify]: Extracting #0: cost 1 inf + 0 146.209 * * [simplify]: Extracting #1: cost 3 inf + 0 146.209 * * [simplify]: Extracting #2: cost 10 inf + 0 146.210 * * [simplify]: Extracting #3: cost 10 inf + 3 146.210 * * [simplify]: Extracting #4: cost 6 inf + 171 146.210 * * [simplify]: Extracting #5: cost 1 inf + 594 146.210 * * [simplify]: Extracting #6: cost 0 inf + 767 146.210 * [simplify]: Simplified to (log1p (* (* PI 2) n)) 146.210 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* (* PI 2) n))) (/ (- 1 k) 2))))) 146.210 * * * * [progress]: [ 45 / 315 ] simplifiying candidate # 146.210 * [simplify]: Simplifying (* n (* 2 PI)) 146.210 * * [simplify]: iters left: 4 (5 enodes) 146.212 * * [simplify]: iters left: 3 (19 enodes) 146.215 * * [simplify]: iters left: 2 (27 enodes) 146.224 * * [simplify]: iters left: 1 (32 enodes) 146.232 * * [simplify]: Extracting #0: cost 1 inf + 0 146.232 * * [simplify]: Extracting #1: cost 8 inf + 0 146.232 * * [simplify]: Extracting #2: cost 7 inf + 45 146.232 * * [simplify]: Extracting #3: cost 0 inf + 421 146.232 * [simplify]: Simplified to (* (* PI 2) n) 146.233 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 146.233 * * * * [progress]: [ 46 / 315 ] simplifiying candidate # 146.233 * [simplify]: Simplifying (* n (* 2 PI)) 146.233 * * [simplify]: iters left: 4 (5 enodes) 146.236 * * [simplify]: iters left: 3 (19 enodes) 146.241 * * [simplify]: iters left: 2 (27 enodes) 146.245 * * [simplify]: iters left: 1 (32 enodes) 146.249 * * [simplify]: Extracting #0: cost 1 inf + 0 146.249 * * [simplify]: Extracting #1: cost 8 inf + 0 146.249 * * [simplify]: Extracting #2: cost 7 inf + 45 146.249 * * [simplify]: Extracting #3: cost 0 inf + 421 146.251 * [simplify]: Simplified to (* (* PI 2) n) 146.251 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2))))) 146.251 * * * * [progress]: [ 47 / 315 ] simplifiying candidate # 146.251 * * * * [progress]: [ 48 / 315 ] simplifiying candidate # 146.252 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 146.252 * * [simplify]: iters left: 5 (8 enodes) 146.254 * * [simplify]: iters left: 4 (28 enodes) 146.258 * * [simplify]: iters left: 3 (36 enodes) 146.264 * * [simplify]: iters left: 2 (42 enodes) 146.270 * * [simplify]: Extracting #0: cost 1 inf + 0 146.270 * * [simplify]: Extracting #1: cost 8 inf + 0 146.270 * * [simplify]: Extracting #2: cost 17 inf + 0 146.270 * * [simplify]: Extracting #3: cost 12 inf + 145 146.270 * * [simplify]: Extracting #4: cost 5 inf + 1197 146.270 * * [simplify]: Extracting #5: cost 1 inf + 1925 146.270 * * [simplify]: Extracting #6: cost 0 inf + 2107 146.271 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 146.271 * [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))))) 146.271 * * * * [progress]: [ 49 / 315 ] simplifiying candidate # 146.271 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 146.271 * * [simplify]: iters left: 5 (7 enodes) 146.273 * * [simplify]: iters left: 4 (26 enodes) 146.277 * * [simplify]: iters left: 3 (35 enodes) 146.282 * * [simplify]: iters left: 2 (44 enodes) 146.289 * * [simplify]: Extracting #0: cost 1 inf + 0 146.289 * * [simplify]: Extracting #1: cost 8 inf + 0 146.289 * * [simplify]: Extracting #2: cost 18 inf + 0 146.289 * * [simplify]: Extracting #3: cost 15 inf + 74 146.289 * * [simplify]: Extracting #4: cost 8 inf + 554 146.289 * * [simplify]: Extracting #5: cost 0 inf + 1911 146.289 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 146.290 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2))))) 146.290 * * * * [progress]: [ 50 / 315 ] simplifiying candidate # 146.290 * [simplify]: Simplifying (log (* n (* 2 PI))) 146.290 * * [simplify]: iters left: 5 (6 enodes) 146.292 * * [simplify]: iters left: 4 (25 enodes) 146.297 * * [simplify]: iters left: 3 (44 enodes) 146.309 * * [simplify]: iters left: 2 (62 enodes) 146.318 * * [simplify]: iters left: 1 (70 enodes) 146.327 * * [simplify]: Extracting #0: cost 1 inf + 0 146.327 * * [simplify]: Extracting #1: cost 9 inf + 0 146.327 * * [simplify]: Extracting #2: cost 22 inf + 0 146.327 * * [simplify]: Extracting #3: cost 19 inf + 228 146.327 * * [simplify]: Extracting #4: cost 6 inf + 1211 146.328 * * [simplify]: Extracting #5: cost 1 inf + 1713 146.328 * * [simplify]: Extracting #6: cost 0 inf + 1825 146.329 * [simplify]: Simplified to (log (* (* PI 2) n)) 146.329 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* PI 2) n))) (/ (- 1 k) 2))))) 146.329 * * * * [progress]: [ 51 / 315 ] simplifiying candidate # 146.329 * [simplify]: Simplifying (exp (* n (* 2 PI))) 146.329 * * [simplify]: iters left: 5 (6 enodes) 146.331 * * [simplify]: iters left: 4 (24 enodes) 146.337 * * [simplify]: iters left: 3 (41 enodes) 146.345 * * [simplify]: iters left: 2 (77 enodes) 146.370 * * [simplify]: iters left: 1 (133 enodes) 146.394 * * [simplify]: Extracting #0: cost 1 inf + 0 146.394 * * [simplify]: Extracting #1: cost 33 inf + 0 146.395 * * [simplify]: Extracting #2: cost 74 inf + 902 146.395 * * [simplify]: Extracting #3: cost 69 inf + 4725 146.397 * * [simplify]: Extracting #4: cost 24 inf + 14472 146.399 * * [simplify]: Extracting #5: cost 2 inf + 20599 146.401 * * [simplify]: Extracting #6: cost 0 inf + 21175 146.404 * [simplify]: Simplified to (* (exp (* n PI)) (exp (* n PI))) 146.404 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (log (* (exp (* n PI)) (exp (* n PI)))) (/ (- 1 k) 2))))) 146.404 * * * * [progress]: [ 52 / 315 ] simplifiying candidate # 146.404 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 146.404 * * [simplify]: iters left: 6 (11 enodes) 146.409 * * [simplify]: iters left: 5 (48 enodes) 146.418 * * [simplify]: iters left: 4 (121 enodes) 146.450 * * [simplify]: iters left: 3 (355 enodes) 146.683 * * [simplify]: Extracting #0: cost 1 inf + 0 146.683 * * [simplify]: Extracting #1: cost 65 inf + 0 146.684 * * [simplify]: Extracting #2: cost 162 inf + 496 146.690 * * [simplify]: Extracting #3: cost 89 inf + 8992 146.700 * * [simplify]: Extracting #4: cost 19 inf + 22730 146.713 * * [simplify]: Extracting #5: cost 0 inf + 27780 146.726 * * [simplify]: Extracting #6: cost 0 inf + 27740 146.739 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 146.739 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2))))) 146.739 * * * * [progress]: [ 53 / 315 ] simplifiying candidate # 146.740 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 146.740 * * [simplify]: iters left: 6 (9 enodes) 146.746 * * [simplify]: iters left: 5 (45 enodes) 146.764 * * [simplify]: iters left: 4 (117 enodes) 146.834 * * [simplify]: iters left: 3 (377 enodes) 147.140 * * [simplify]: Extracting #0: cost 1 inf + 0 147.140 * * [simplify]: Extracting #1: cost 79 inf + 0 147.143 * * [simplify]: Extracting #2: cost 190 inf + 659 147.150 * * [simplify]: Extracting #3: cost 100 inf + 13035 147.167 * * [simplify]: Extracting #4: cost 6 inf + 31482 147.185 * * [simplify]: Extracting #5: cost 0 inf + 32336 147.204 * [simplify]: Simplified to (* (* 2 (* PI n)) (* (* 2 (* PI n)) (* 2 (* PI n)))) 147.204 * [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))))) 147.204 * * * * [progress]: [ 54 / 315 ] simplifiying candidate # 147.204 * [simplify]: Simplifying (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) 147.204 * * [simplify]: iters left: 6 (7 enodes) 147.208 * * [simplify]: iters left: 5 (25 enodes) 147.216 * * [simplify]: iters left: 4 (33 enodes) 147.221 * * [simplify]: iters left: 3 (39 enodes) 147.226 * * [simplify]: Extracting #0: cost 1 inf + 0 147.226 * * [simplify]: Extracting #1: cost 3 inf + 0 147.226 * * [simplify]: Extracting #2: cost 5 inf + 0 147.226 * * [simplify]: Extracting #3: cost 12 inf + 0 147.226 * * [simplify]: Extracting #4: cost 11 inf + 45 147.226 * * [simplify]: Extracting #5: cost 5 inf + 500 147.226 * * [simplify]: Extracting #6: cost 1 inf + 950 147.226 * * [simplify]: Extracting #7: cost 0 inf + 1153 147.227 * [simplify]: Simplified to (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) 147.227 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2))))) 147.227 * [simplify]: Simplifying (cbrt (* n (* 2 PI))) 147.227 * * [simplify]: iters left: 5 (6 enodes) 147.229 * * [simplify]: iters left: 4 (22 enodes) 147.232 * * [simplify]: iters left: 3 (30 enodes) 147.240 * * [simplify]: iters left: 2 (35 enodes) 147.244 * * [simplify]: Extracting #0: cost 1 inf + 0 147.244 * * [simplify]: Extracting #1: cost 3 inf + 0 147.244 * * [simplify]: Extracting #2: cost 10 inf + 0 147.244 * * [simplify]: Extracting #3: cost 10 inf + 3 147.244 * * [simplify]: Extracting #4: cost 6 inf + 171 147.245 * * [simplify]: Extracting #5: cost 1 inf + 584 147.245 * * [simplify]: Extracting #6: cost 0 inf + 747 147.245 * [simplify]: Simplified to (cbrt (* (* PI 2) n)) 147.245 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* (* PI 2) n))) (/ (- 1 k) 2))))) 147.245 * * * * [progress]: [ 55 / 315 ] simplifiying candidate # 147.245 * [simplify]: Simplifying (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI))) 147.245 * * [simplify]: iters left: 6 (7 enodes) 147.248 * * [simplify]: iters left: 5 (35 enodes) 147.262 * * [simplify]: iters left: 4 (120 enodes) 147.309 * * [simplify]: iters left: 3 (434 enodes) 147.794 * * [simplify]: Extracting #0: cost 1 inf + 0 147.795 * * [simplify]: Extracting #1: cost 70 inf + 0 147.797 * * [simplify]: Extracting #2: cost 180 inf + 783 147.804 * * [simplify]: Extracting #3: cost 74 inf + 15033 147.813 * * [simplify]: Extracting #4: cost 1 inf + 25830 147.823 * * [simplify]: Extracting #5: cost 0 inf + 25831 147.833 * [simplify]: Simplified to (* 8 (* (* n PI) (* (* n PI) (* n PI)))) 147.833 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* 8 (* (* n PI) (* (* n PI) (* n PI))))) (/ (- 1 k) 2))))) 147.833 * * * * [progress]: [ 56 / 315 ] simplifiying candidate # 147.834 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 147.834 * * [simplify]: iters left: 5 (6 enodes) 147.837 * * [simplify]: iters left: 4 (22 enodes) 147.849 * * [simplify]: iters left: 3 (30 enodes) 147.854 * * [simplify]: iters left: 2 (35 enodes) 147.859 * * [simplify]: Extracting #0: cost 1 inf + 0 147.859 * * [simplify]: Extracting #1: cost 3 inf + 0 147.859 * * [simplify]: Extracting #2: cost 10 inf + 0 147.859 * * [simplify]: Extracting #3: cost 10 inf + 3 147.859 * * [simplify]: Extracting #4: cost 6 inf + 171 147.860 * * [simplify]: Extracting #5: cost 1 inf + 544 147.860 * * [simplify]: Extracting #6: cost 0 inf + 667 147.860 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 147.860 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* PI 2) n)) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2))))) 147.860 * [simplify]: Simplifying (sqrt (* n (* 2 PI))) 147.860 * * [simplify]: iters left: 5 (6 enodes) 147.862 * * [simplify]: iters left: 4 (22 enodes) 147.865 * * [simplify]: iters left: 3 (30 enodes) 147.870 * * [simplify]: iters left: 2 (35 enodes) 147.875 * * [simplify]: Extracting #0: cost 1 inf + 0 147.875 * * [simplify]: Extracting #1: cost 3 inf + 0 147.875 * * [simplify]: Extracting #2: cost 10 inf + 0 147.875 * * [simplify]: Extracting #3: cost 10 inf + 3 147.875 * * [simplify]: Extracting #4: cost 6 inf + 171 147.875 * * [simplify]: Extracting #5: cost 1 inf + 544 147.875 * * [simplify]: Extracting #6: cost 0 inf + 667 147.875 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 147.875 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* (* PI 2) n))) (/ (- 1 k) 2))))) 147.875 * * * * [progress]: [ 57 / 315 ] simplifiying candidate # 147.875 * * * * [progress]: [ 58 / 315 ] simplifiying candidate # 147.876 * [simplify]: Simplifying (* n 2) 147.876 * * [simplify]: iters left: 2 (3 enodes) 147.877 * * [simplify]: iters left: 1 (10 enodes) 147.878 * * [simplify]: Extracting #0: cost 1 inf + 0 147.878 * * [simplify]: Extracting #1: cost 4 inf + 0 147.878 * * [simplify]: Extracting #2: cost 2 inf + 2 147.878 * * [simplify]: Extracting #3: cost 0 inf + 86 147.878 * [simplify]: Simplified to (* n 2) 147.878 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 147.878 * * * * [progress]: [ 59 / 315 ] simplifiying candidate # 147.878 * [simplify]: Simplifying (* (cbrt n) (* 2 PI)) 147.879 * * [simplify]: iters left: 4 (6 enodes) 147.880 * * [simplify]: iters left: 3 (22 enodes) 147.883 * * [simplify]: iters left: 2 (30 enodes) 147.887 * * [simplify]: iters left: 1 (35 enodes) 147.892 * * [simplify]: Extracting #0: cost 1 inf + 0 147.892 * * [simplify]: Extracting #1: cost 8 inf + 0 147.892 * * [simplify]: Extracting #2: cost 10 inf + 44 147.892 * * [simplify]: Extracting #3: cost 8 inf + 87 147.892 * * [simplify]: Extracting #4: cost 5 inf + 453 147.893 * * [simplify]: Extracting #5: cost 0 inf + 1063 147.893 * [simplify]: Simplified to (* (cbrt n) (* 2 PI)) 147.893 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2))))) 147.893 * * * * [progress]: [ 60 / 315 ] simplifiying candidate # 147.893 * [simplify]: Simplifying (* (sqrt n) (* 2 PI)) 147.893 * * [simplify]: iters left: 4 (6 enodes) 147.895 * * [simplify]: iters left: 3 (22 enodes) 147.898 * * [simplify]: iters left: 2 (30 enodes) 147.907 * * [simplify]: iters left: 1 (35 enodes) 147.916 * * [simplify]: Extracting #0: cost 1 inf + 0 147.916 * * [simplify]: Extracting #1: cost 8 inf + 0 147.916 * * [simplify]: Extracting #2: cost 10 inf + 44 147.916 * * [simplify]: Extracting #3: cost 8 inf + 87 147.916 * * [simplify]: Extracting #4: cost 5 inf + 333 147.917 * * [simplify]: Extracting #5: cost 0 inf + 743 147.917 * [simplify]: Simplified to (* (sqrt n) (* 2 PI)) 147.917 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2))))) 147.917 * * * * [progress]: [ 61 / 315 ] simplifiying candidate # 147.918 * [simplify]: Simplifying (* n (* 2 PI)) 147.918 * * [simplify]: iters left: 4 (5 enodes) 147.920 * * [simplify]: iters left: 3 (19 enodes) 147.923 * * [simplify]: iters left: 2 (27 enodes) 147.927 * * [simplify]: iters left: 1 (32 enodes) 147.931 * * [simplify]: Extracting #0: cost 1 inf + 0 147.931 * * [simplify]: Extracting #1: cost 8 inf + 0 147.931 * * [simplify]: Extracting #2: cost 7 inf + 45 147.931 * * [simplify]: Extracting #3: cost 0 inf + 421 147.931 * [simplify]: Simplified to (* (* PI 2) n) 147.932 * [simplify]: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* PI 2) n)) (/ (- 1 k) 2))))) 147.932 * * * * [progress]: [ 62 / 315 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)))))> 147.932 * [simplify]: Simplifying (real->posit16 (* n (* 2 PI))) 147.932 * * [simplify]: iters left: 5 (6 enodes) 147.933 * * [simplify]: iters left: 4 (19 enodes) 147.939 * * [simplify]: iters left: 3 (27 enodes) 147.943 * * [simplify]: iters left: 2 (32 enodes) 147.947 * * [simplify]: Extracting #0: cost 1 inf + 0 147.947 * * [simplify]: Extracting #1: cost 2 inf + 0 147.947 * * [simplify]: Extracting #2: cost 8 inf + 0 147.948 * * [simplify]: Extracting #3: cost 7 inf + 45 147.948 * * [simplify]: Extracting #4: cost 1 inf + 379 147.948 * * [simplify]: Extracting #5: cost 0 inf + 421 147.948 * [simplify]: Simplified to (real->posit16 (* (* PI 2) n)) 147.948 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* PI 2) n))) (/ (- 1 k) 2))))) 147.948 * * * * [progress]: [ 63 / 315 ] simplifiying candidate # 147.948 * * * * [progress]: [ 64 / 315 ] simplifiying candidate # 147.949 * [simplify]: Simplifying (expm1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 147.949 * * [simplify]: iters left: 6 (13 enodes) 147.953 * * [simplify]: iters left: 5 (54 enodes) 147.962 * * [simplify]: iters left: 4 (89 enodes) 147.977 * * [simplify]: iters left: 3 (135 enodes) 148.015 * * [simplify]: iters left: 2 (222 enodes) 148.082 * * [simplify]: iters left: 1 (417 enodes) 148.292 * * [simplify]: Extracting #0: cost 1 inf + 0 148.292 * * [simplify]: Extracting #1: cost 3 inf + 0 148.292 * * [simplify]: Extracting #2: cost 8 inf + 0 148.292 * * [simplify]: Extracting #3: cost 43 inf + 0 148.292 * * [simplify]: Extracting #4: cost 139 inf + 43 148.293 * * [simplify]: Extracting #5: cost 190 inf + 344 148.295 * * [simplify]: Extracting #6: cost 133 inf + 9641 148.303 * * [simplify]: Extracting #7: cost 32 inf + 53124 148.330 * * [simplify]: Extracting #8: cost 1 inf + 74443 148.353 * * [simplify]: Extracting #9: cost 0 inf + 74356 148.367 * [simplify]: Simplified to (expm1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.367 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.367 * * * * [progress]: [ 65 / 315 ] simplifiying candidate # 148.367 * [simplify]: Simplifying (log1p (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.367 * * [simplify]: iters left: 6 (13 enodes) 148.374 * * [simplify]: iters left: 5 (54 enodes) 148.393 * * [simplify]: iters left: 4 (89 enodes) 148.422 * * [simplify]: iters left: 3 (135 enodes) 148.451 * * [simplify]: iters left: 2 (222 enodes) 148.512 * * [simplify]: iters left: 1 (417 enodes) 148.666 * * [simplify]: Extracting #0: cost 1 inf + 0 148.666 * * [simplify]: Extracting #1: cost 3 inf + 0 148.666 * * [simplify]: Extracting #2: cost 8 inf + 0 148.666 * * [simplify]: Extracting #3: cost 43 inf + 0 148.667 * * [simplify]: Extracting #4: cost 139 inf + 43 148.668 * * [simplify]: Extracting #5: cost 190 inf + 344 148.672 * * [simplify]: Extracting #6: cost 133 inf + 9641 148.687 * * [simplify]: Extracting #7: cost 32 inf + 53144 148.713 * * [simplify]: Extracting #8: cost 1 inf + 74483 148.740 * * [simplify]: Extracting #9: cost 0 inf + 74396 148.767 * [simplify]: Simplified to (log1p (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 148.767 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 148.767 * * * * [progress]: [ 66 / 315 ] simplifiying candidate # 148.767 * * * * [progress]: [ 67 / 315 ] simplifiying candidate # 148.767 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) 148.768 * * [simplify]: iters left: 6 (16 enodes) 148.777 * * [simplify]: iters left: 5 (65 enodes) 148.798 * * [simplify]: iters left: 4 (119 enodes) 148.851 * * [simplify]: iters left: 3 (369 enodes) 149.053 * * [simplify]: Extracting #0: cost 1 inf + 0 149.053 * * [simplify]: Extracting #1: cost 32 inf + 0 149.054 * * [simplify]: Extracting #2: cost 152 inf + 0 149.055 * * [simplify]: Extracting #3: cost 252 inf + 76 149.059 * * [simplify]: Extracting #4: cost 245 inf + 8290 149.076 * * [simplify]: Extracting #5: cost 74 inf + 51894 149.091 * * [simplify]: Extracting #6: cost 3 inf + 74272 149.107 * * [simplify]: Extracting #7: cost 0 inf + 75499 149.131 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) 149.132 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))))))) 149.132 * * * * [progress]: [ 68 / 315 ] simplifiying candidate # 149.132 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) 149.132 * * [simplify]: iters left: 6 (15 enodes) 149.146 * * [simplify]: iters left: 5 (63 enodes) 149.157 * * [simplify]: iters left: 4 (112 enodes) 149.188 * * [simplify]: iters left: 3 (299 enodes) 149.325 * * [simplify]: Extracting #0: cost 1 inf + 0 149.326 * * [simplify]: Extracting #1: cost 29 inf + 0 149.326 * * [simplify]: Extracting #2: cost 131 inf + 0 149.328 * * [simplify]: Extracting #3: cost 227 inf + 5 149.331 * * [simplify]: Extracting #4: cost 217 inf + 8655 149.349 * * [simplify]: Extracting #5: cost 42 inf + 48045 149.365 * * [simplify]: Extracting #6: cost 1 inf + 59152 149.377 * * [simplify]: Extracting #7: cost 0 inf + 59496 149.399 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log (* 2 PI)) (log n))))) 149.400 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log (* 2 PI)) (log n)))))))) 149.400 * * * * [progress]: [ 69 / 315 ] simplifiying candidate # 149.400 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 149.400 * * [simplify]: iters left: 6 (14 enodes) 149.408 * * [simplify]: iters left: 5 (62 enodes) 149.430 * * [simplify]: iters left: 4 (119 enodes) 149.452 * * [simplify]: iters left: 3 (279 enodes) 149.555 * * [simplify]: Extracting #0: cost 1 inf + 0 149.555 * * [simplify]: Extracting #1: cost 19 inf + 0 149.555 * * [simplify]: Extracting #2: cost 116 inf + 0 149.556 * * [simplify]: Extracting #3: cost 209 inf + 5 149.557 * * [simplify]: Extracting #4: cost 205 inf + 5154 149.562 * * [simplify]: Extracting #5: cost 54 inf + 34111 149.572 * * [simplify]: Extracting #6: cost 0 inf + 47083 149.583 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 149.583 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 149.583 * * * * [progress]: [ 70 / 315 ] simplifiying candidate # 149.583 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 149.583 * * [simplify]: iters left: 6 (14 enodes) 149.588 * * [simplify]: iters left: 5 (62 enodes) 149.609 * * [simplify]: iters left: 4 (119 enodes) 149.647 * * [simplify]: iters left: 3 (279 enodes) 149.759 * * [simplify]: Extracting #0: cost 1 inf + 0 149.759 * * [simplify]: Extracting #1: cost 19 inf + 0 149.760 * * [simplify]: Extracting #2: cost 116 inf + 0 149.761 * * [simplify]: Extracting #3: cost 209 inf + 5 149.764 * * [simplify]: Extracting #4: cost 205 inf + 5154 149.771 * * [simplify]: Extracting #5: cost 54 inf + 34111 149.781 * * [simplify]: Extracting #6: cost 0 inf + 47083 149.792 * [simplify]: Simplified to (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI))))) 149.792 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 149.792 * * * * [progress]: [ 71 / 315 ] simplifiying candidate # 149.792 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 149.792 * * [simplify]: iters left: 6 (14 enodes) 149.796 * * [simplify]: iters left: 5 (61 enodes) 149.807 * * [simplify]: iters left: 4 (111 enodes) 149.851 * * [simplify]: iters left: 3 (253 enodes) 149.942 * * [simplify]: Extracting #0: cost 1 inf + 0 149.943 * * [simplify]: Extracting #1: cost 23 inf + 0 149.943 * * [simplify]: Extracting #2: cost 144 inf + 0 149.944 * * [simplify]: Extracting #3: cost 236 inf + 75 149.952 * * [simplify]: Extracting #4: cost 252 inf + 2438 149.960 * * [simplify]: Extracting #5: cost 120 inf + 27003 149.978 * * [simplify]: Extracting #6: cost 13 inf + 52544 149.999 * * [simplify]: Extracting #7: cost 0 inf + 58449 150.020 * * [simplify]: Extracting #8: cost 0 inf + 58129 150.041 * * [simplify]: Extracting #9: cost 0 inf + 58089 150.057 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* n (* 2 PI)))))) 150.057 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (log (* n (* 2 PI))))))))) 150.057 * * * * [progress]: [ 72 / 315 ] simplifiying candidate # 150.057 * [simplify]: Simplifying (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.057 * * [simplify]: iters left: 6 (13 enodes) 150.061 * * [simplify]: iters left: 5 (57 enodes) 150.071 * * [simplify]: iters left: 4 (102 enodes) 150.101 * * [simplify]: iters left: 3 (186 enodes) 150.159 * * [simplify]: iters left: 2 (488 enodes) 150.391 * * [simplify]: Extracting #0: cost 1 inf + 0 150.391 * * [simplify]: Extracting #1: cost 76 inf + 0 150.393 * * [simplify]: Extracting #2: cost 511 inf + 0 150.398 * * [simplify]: Extracting #3: cost 674 inf + 192 150.405 * * [simplify]: Extracting #4: cost 572 inf + 23924 150.431 * * [simplify]: Extracting #5: cost 100 inf + 143356 150.485 * * [simplify]: Extracting #6: cost 13 inf + 173216 150.525 * * [simplify]: Extracting #7: cost 0 inf + 182073 150.588 * [simplify]: Simplified to (fma (log (* n (* 2 PI))) (+ -1/2 (/ k 2)) (log (sqrt k))) 150.588 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* n (* 2 PI))) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 150.588 * * * * [progress]: [ 73 / 315 ] simplifiying candidate # 150.589 * [simplify]: Simplifying (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 150.589 * * [simplify]: iters left: 6 (13 enodes) 150.597 * * [simplify]: iters left: 5 (54 enodes) 150.615 * * [simplify]: iters left: 4 (89 enodes) 150.643 * * [simplify]: iters left: 3 (135 enodes) 150.690 * * [simplify]: iters left: 2 (222 enodes) 150.773 * * [simplify]: iters left: 1 (417 enodes) 150.936 * * [simplify]: Extracting #0: cost 1 inf + 0 150.936 * * [simplify]: Extracting #1: cost 3 inf + 0 150.936 * * [simplify]: Extracting #2: cost 8 inf + 0 150.936 * * [simplify]: Extracting #3: cost 43 inf + 0 150.937 * * [simplify]: Extracting #4: cost 139 inf + 43 150.938 * * [simplify]: Extracting #5: cost 190 inf + 344 150.943 * * [simplify]: Extracting #6: cost 133 inf + 9641 150.959 * * [simplify]: Extracting #7: cost 32 inf + 53124 150.986 * * [simplify]: Extracting #8: cost 1 inf + 74443 151.019 * * [simplify]: Extracting #9: cost 0 inf + 74356 151.046 * [simplify]: Simplified to (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 151.046 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 151.047 * * * * [progress]: [ 74 / 315 ] simplifiying candidate # 151.047 * [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)))) 151.047 * * [simplify]: iters left: 6 (16 enodes) 151.057 * * [simplify]: iters left: 5 (72 enodes) 151.084 * * [simplify]: iters left: 4 (163 enodes) 151.148 * * [simplify]: iters left: 3 (440 enodes) 151.346 * * [simplify]: Extracting #0: cost 1 inf + 0 151.347 * * [simplify]: Extracting #1: cost 114 inf + 0 151.349 * * [simplify]: Extracting #2: cost 335 inf + 123 151.352 * * [simplify]: Extracting #3: cost 399 inf + 248 151.356 * * [simplify]: Extracting #4: cost 381 inf + 1829 151.367 * * [simplify]: Extracting #5: cost 293 inf + 41623 151.424 * * [simplify]: Extracting #6: cost 46 inf + 225913 151.471 * * [simplify]: Extracting #7: cost 0 inf + 255604 151.529 * * [simplify]: Extracting #8: cost 0 inf + 253787 151.585 * [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)))) 151.585 * [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))))))) 151.585 * * * * [progress]: [ 75 / 315 ] simplifiying candidate # 151.586 * [simplify]: Simplifying (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 151.586 * * [simplify]: iters left: 6 (14 enodes) 151.594 * * [simplify]: iters left: 5 (57 enodes) 151.613 * * [simplify]: iters left: 4 (92 enodes) 151.631 * * [simplify]: iters left: 3 (134 enodes) 151.661 * * [simplify]: iters left: 2 (220 enodes) 151.713 * * [simplify]: iters left: 1 (415 enodes) 151.874 * * [simplify]: Extracting #0: cost 1 inf + 0 151.874 * * [simplify]: Extracting #1: cost 3 inf + 0 151.874 * * [simplify]: Extracting #2: cost 5 inf + 0 151.874 * * [simplify]: Extracting #3: cost 10 inf + 0 151.875 * * [simplify]: Extracting #4: cost 49 inf + 0 151.875 * * [simplify]: Extracting #5: cost 139 inf + 43 151.877 * * [simplify]: Extracting #6: cost 188 inf + 386 151.881 * * [simplify]: Extracting #7: cost 129 inf + 14163 151.899 * * [simplify]: Extracting #8: cost 26 inf + 59064 151.925 * * [simplify]: Extracting #9: cost 0 inf + 73038 151.947 * * [simplify]: Extracting #10: cost 0 inf + 70430 151.968 * * [simplify]: Extracting #11: cost 0 inf + 70260 151.988 * * [simplify]: Extracting #12: cost 0 inf + 70220 152.025 * [simplify]: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 152.025 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 152.026 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 152.026 * * [simplify]: iters left: 6 (13 enodes) 152.033 * * [simplify]: iters left: 5 (54 enodes) 152.052 * * [simplify]: iters left: 4 (89 enodes) 152.081 * * [simplify]: iters left: 3 (135 enodes) 152.121 * * [simplify]: iters left: 2 (222 enodes) 152.179 * * [simplify]: iters left: 1 (417 enodes) 152.741 * * [simplify]: Extracting #0: cost 1 inf + 0 152.741 * * [simplify]: Extracting #1: cost 3 inf + 0 152.741 * * [simplify]: Extracting #2: cost 8 inf + 0 152.741 * * [simplify]: Extracting #3: cost 43 inf + 0 152.742 * * [simplify]: Extracting #4: cost 139 inf + 43 152.743 * * [simplify]: Extracting #5: cost 190 inf + 344 152.745 * * [simplify]: Extracting #6: cost 133 inf + 9641 152.758 * * [simplify]: Extracting #7: cost 32 inf + 53134 152.777 * * [simplify]: Extracting #8: cost 1 inf + 74463 152.796 * * [simplify]: Extracting #9: cost 0 inf + 74376 152.823 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 152.823 * [simplify]: Simplified (2 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))))))) 152.823 * * * * [progress]: [ 76 / 315 ] simplifiying candidate # 152.823 * [simplify]: Simplifying (* (* (/ (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)))) 152.824 * * [simplify]: iters left: 6 (14 enodes) 152.832 * * [simplify]: iters left: 5 (64 enodes) 152.856 * * [simplify]: iters left: 4 (134 enodes) 152.888 * * [simplify]: iters left: 3 (327 enodes) 153.103 * * [simplify]: Extracting #0: cost 1 inf + 0 153.103 * * [simplify]: Extracting #1: cost 79 inf + 0 153.105 * * [simplify]: Extracting #2: cost 256 inf + 1 153.108 * * [simplify]: Extracting #3: cost 291 inf + 166 153.111 * * [simplify]: Extracting #4: cost 277 inf + 1216 153.117 * * [simplify]: Extracting #5: cost 217 inf + 19405 153.150 * * [simplify]: Extracting #6: cost 61 inf + 138194 153.210 * * [simplify]: Extracting #7: cost 0 inf + 181898 153.254 * * [simplify]: Extracting #8: cost 0 inf + 179035 153.288 * [simplify]: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 153.288 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))) 153.288 * * * * [progress]: [ 77 / 315 ] simplifiying candidate # 153.288 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.289 * * [simplify]: iters left: 6 (13 enodes) 153.293 * * [simplify]: iters left: 5 (54 enodes) 153.302 * * [simplify]: iters left: 4 (89 enodes) 153.332 * * [simplify]: iters left: 3 (135 enodes) 153.354 * * [simplify]: iters left: 2 (222 enodes) 153.431 * * [simplify]: iters left: 1 (417 enodes) 153.618 * * [simplify]: Extracting #0: cost 1 inf + 0 153.618 * * [simplify]: Extracting #1: cost 3 inf + 0 153.618 * * [simplify]: Extracting #2: cost 8 inf + 0 153.618 * * [simplify]: Extracting #3: cost 43 inf + 0 153.619 * * [simplify]: Extracting #4: cost 139 inf + 43 153.621 * * [simplify]: Extracting #5: cost 190 inf + 344 153.625 * * [simplify]: Extracting #6: cost 133 inf + 9641 153.645 * * [simplify]: Extracting #7: cost 32 inf + 53094 153.672 * * [simplify]: Extracting #8: cost 1 inf + 74383 153.685 * * [simplify]: Extracting #9: cost 0 inf + 74296 153.699 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.699 * [simplify]: Simplified (2 2 1) 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))))))) 153.699 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 153.700 * * [simplify]: iters left: 6 (13 enodes) 153.704 * * [simplify]: iters left: 5 (54 enodes) 153.722 * * [simplify]: iters left: 4 (89 enodes) 153.752 * * [simplify]: iters left: 3 (135 enodes) 153.800 * * [simplify]: iters left: 2 (222 enodes) 153.856 * * [simplify]: iters left: 1 (417 enodes) 154.008 * * [simplify]: Extracting #0: cost 1 inf + 0 154.008 * * [simplify]: Extracting #1: cost 3 inf + 0 154.008 * * [simplify]: Extracting #2: cost 8 inf + 0 154.008 * * [simplify]: Extracting #3: cost 43 inf + 0 154.008 * * [simplify]: Extracting #4: cost 139 inf + 43 154.009 * * [simplify]: Extracting #5: cost 190 inf + 344 154.011 * * [simplify]: Extracting #6: cost 133 inf + 9641 154.020 * * [simplify]: Extracting #7: cost 32 inf + 53094 154.034 * * [simplify]: Extracting #8: cost 1 inf + 74383 154.052 * * [simplify]: Extracting #9: cost 0 inf + 74296 154.065 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 154.065 * [simplify]: Simplified (2 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))))))) 154.065 * * * * [progress]: [ 78 / 315 ] simplifiying candidate # 154.066 * [simplify]: Simplifying (- (sqrt k)) 154.066 * * [simplify]: iters left: 3 (3 enodes) 154.066 * * [simplify]: iters left: 2 (9 enodes) 154.068 * * [simplify]: Extracting #0: cost 1 inf + 0 154.068 * * [simplify]: Extracting #1: cost 3 inf + 0 154.068 * * [simplify]: Extracting #2: cost 5 inf + 0 154.068 * * [simplify]: Extracting #3: cost 4 inf + 1 154.068 * * [simplify]: Extracting #4: cost 0 inf + 245 154.068 * [simplify]: Simplified to (- (sqrt k)) 154.068 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 154.068 * [simplify]: Simplifying (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 154.069 * * [simplify]: iters left: 6 (11 enodes) 154.073 * * [simplify]: iters left: 5 (48 enodes) 154.088 * * [simplify]: iters left: 4 (80 enodes) 154.114 * * [simplify]: iters left: 3 (132 enodes) 154.144 * * [simplify]: iters left: 2 (259 enodes) 154.206 * * [simplify]: Extracting #0: cost 1 inf + 0 154.206 * * [simplify]: Extracting #1: cost 23 inf + 0 154.206 * * [simplify]: Extracting #2: cost 81 inf + 0 154.206 * * [simplify]: Extracting #3: cost 128 inf + 2 154.207 * * [simplify]: Extracting #4: cost 134 inf + 221 154.208 * * [simplify]: Extracting #5: cost 128 inf + 1264 154.209 * * [simplify]: Extracting #6: cost 76 inf + 8606 154.213 * * [simplify]: Extracting #7: cost 45 inf + 20059 154.220 * * [simplify]: Extracting #8: cost 2 inf + 52126 154.230 * * [simplify]: Extracting #9: cost 0 inf + 53750 154.237 * [simplify]: Simplified to (- (pow (* (* PI 2) n) (/ (- 1 k) 2))) 154.238 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 154.238 * * * * [progress]: [ 79 / 315 ] simplifiying candidate # 154.238 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 154.238 * * [simplify]: iters left: 6 (11 enodes) 154.244 * * [simplify]: iters left: 5 (46 enodes) 154.259 * * [simplify]: iters left: 4 (76 enodes) 154.285 * * [simplify]: iters left: 3 (138 enodes) 154.340 * * [simplify]: iters left: 2 (303 enodes) 154.451 * * [simplify]: Extracting #0: cost 1 inf + 0 154.452 * * [simplify]: Extracting #1: cost 42 inf + 0 154.452 * * [simplify]: Extracting #2: cost 139 inf + 0 154.454 * * [simplify]: Extracting #3: cost 197 inf + 3 154.456 * * [simplify]: Extracting #4: cost 175 inf + 4061 154.461 * * [simplify]: Extracting #5: cost 116 inf + 23290 154.485 * * [simplify]: Extracting #6: cost 24 inf + 81383 154.510 * * [simplify]: Extracting #7: cost 0 inf + 98412 154.535 * * [simplify]: Extracting #8: cost 0 inf + 98081 154.548 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) 154.548 * [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)))))) 154.548 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 154.548 * * [simplify]: iters left: 6 (11 enodes) 154.551 * * [simplify]: iters left: 5 (45 enodes) 154.559 * * [simplify]: iters left: 4 (68 enodes) 154.570 * * [simplify]: iters left: 3 (110 enodes) 154.601 * * [simplify]: iters left: 2 (217 enodes) 154.655 * * [simplify]: iters left: 1 (411 enodes) 154.830 * * [simplify]: Extracting #0: cost 1 inf + 0 154.830 * * [simplify]: Extracting #1: cost 6 inf + 0 154.830 * * [simplify]: Extracting #2: cost 44 inf + 0 154.830 * * [simplify]: Extracting #3: cost 139 inf + 1 154.831 * * [simplify]: Extracting #4: cost 188 inf + 2119 154.834 * * [simplify]: Extracting #5: cost 126 inf + 15130 154.848 * * [simplify]: Extracting #6: cost 20 inf + 58073 154.871 * * [simplify]: Extracting #7: cost 0 inf + 66810 154.889 * * [simplify]: Extracting #8: cost 0 inf + 65291 154.911 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 154.911 * [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))))))) 154.912 * * * * [progress]: [ 80 / 315 ] simplifiying candidate # 154.912 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 154.912 * * [simplify]: iters left: 6 (16 enodes) 154.921 * * [simplify]: iters left: 5 (69 enodes) 154.943 * * [simplify]: iters left: 4 (113 enodes) 154.979 * * [simplify]: iters left: 3 (163 enodes) 155.015 * * [simplify]: iters left: 2 (267 enodes) 155.081 * * [simplify]: iters left: 1 (447 enodes) 155.272 * * [simplify]: Extracting #0: cost 1 inf + 0 155.272 * * [simplify]: Extracting #1: cost 11 inf + 0 155.272 * * [simplify]: Extracting #2: cost 22 inf + 0 155.272 * * [simplify]: Extracting #3: cost 52 inf + 0 155.273 * * [simplify]: Extracting #4: cost 133 inf + 43 155.274 * * [simplify]: Extracting #5: cost 186 inf + 499 155.277 * * [simplify]: Extracting #6: cost 162 inf + 3017 155.284 * * [simplify]: Extracting #7: cost 79 inf + 19392 155.302 * * [simplify]: Extracting #8: cost 20 inf + 60871 155.326 * * [simplify]: Extracting #9: cost 0 inf + 77917 155.352 * * [simplify]: Extracting #10: cost 0 inf + 76789 155.380 * * [simplify]: Extracting #11: cost 0 inf + 76698 155.403 * [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)))))) 155.403 * [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))))))) 155.403 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 155.403 * * [simplify]: iters left: 6 (14 enodes) 155.407 * * [simplify]: iters left: 5 (57 enodes) 155.417 * * [simplify]: iters left: 4 (90 enodes) 155.434 * * [simplify]: iters left: 3 (128 enodes) 155.476 * * [simplify]: iters left: 2 (208 enodes) 155.537 * * [simplify]: iters left: 1 (391 enodes) 155.709 * * [simplify]: Extracting #0: cost 1 inf + 0 155.709 * * [simplify]: Extracting #1: cost 4 inf + 0 155.709 * * [simplify]: Extracting #2: cost 8 inf + 0 155.709 * * [simplify]: Extracting #3: cost 38 inf + 0 155.709 * * [simplify]: Extracting #4: cost 118 inf + 43 155.710 * * [simplify]: Extracting #5: cost 172 inf + 422 155.712 * * [simplify]: Extracting #6: cost 123 inf + 9422 155.716 * * [simplify]: Extracting #7: cost 57 inf + 25335 155.725 * * [simplify]: Extracting #8: cost 7 inf + 63674 155.745 * * [simplify]: Extracting #9: cost 0 inf + 68238 155.767 * * [simplify]: Extracting #10: cost 0 inf + 67645 155.788 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 155.788 * [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))))))) 155.788 * * * * [progress]: [ 81 / 315 ] simplifiying candidate # 155.789 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 155.789 * * [simplify]: iters left: 6 (15 enodes) 155.797 * * [simplify]: iters left: 5 (62 enodes) 155.821 * * [simplify]: iters left: 4 (96 enodes) 155.852 * * [simplify]: iters left: 3 (142 enodes) 155.902 * * [simplify]: iters left: 2 (240 enodes) 155.989 * * [simplify]: iters left: 1 (417 enodes) 156.140 * * [simplify]: Extracting #0: cost 1 inf + 0 156.140 * * [simplify]: Extracting #1: cost 7 inf + 0 156.140 * * [simplify]: Extracting #2: cost 15 inf + 0 156.140 * * [simplify]: Extracting #3: cost 51 inf + 0 156.141 * * [simplify]: Extracting #4: cost 143 inf + 43 156.143 * * [simplify]: Extracting #5: cost 179 inf + 834 156.148 * * [simplify]: Extracting #6: cost 102 inf + 16814 156.171 * * [simplify]: Extracting #7: cost 17 inf + 61525 156.196 * * [simplify]: Extracting #8: cost 0 inf + 75040 156.221 * * [simplify]: Extracting #9: cost 0 inf + 73640 156.237 * * [simplify]: Extracting #10: cost 0 inf + 73590 156.250 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) 156.250 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 156.250 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 156.251 * * [simplify]: iters left: 6 (14 enodes) 156.254 * * [simplify]: iters left: 5 (57 enodes) 156.272 * * [simplify]: iters left: 4 (91 enodes) 156.292 * * [simplify]: iters left: 3 (129 enodes) 156.315 * * [simplify]: iters left: 2 (209 enodes) 156.367 * * [simplify]: iters left: 1 (390 enodes) 156.530 * * [simplify]: Extracting #0: cost 1 inf + 0 156.530 * * [simplify]: Extracting #1: cost 4 inf + 0 156.530 * * [simplify]: Extracting #2: cost 9 inf + 0 156.530 * * [simplify]: Extracting #3: cost 42 inf + 0 156.530 * * [simplify]: Extracting #4: cost 132 inf + 43 156.531 * * [simplify]: Extracting #5: cost 162 inf + 465 156.533 * * [simplify]: Extracting #6: cost 105 inf + 9589 156.539 * * [simplify]: Extracting #7: cost 36 inf + 39925 156.558 * * [simplify]: Extracting #8: cost 1 inf + 64329 156.582 * * [simplify]: Extracting #9: cost 0 inf + 64695 156.602 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 156.602 * [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))))))) 156.602 * * * * [progress]: [ 82 / 315 ] simplifiying candidate # 156.603 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 156.603 * * [simplify]: iters left: 6 (6 enodes) 156.607 * * [simplify]: iters left: 5 (20 enodes) 156.614 * * [simplify]: iters left: 4 (30 enodes) 156.622 * * [simplify]: iters left: 3 (31 enodes) 156.629 * * [simplify]: Extracting #0: cost 1 inf + 0 156.629 * * [simplify]: Extracting #1: cost 5 inf + 0 156.629 * * [simplify]: Extracting #2: cost 7 inf + 1 156.629 * * [simplify]: Extracting #3: cost 9 inf + 1 156.629 * * [simplify]: Extracting #4: cost 8 inf + 2 156.629 * * [simplify]: Extracting #5: cost 0 inf + 972 156.629 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 156.629 * [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)))))) 156.630 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 156.630 * * [simplify]: iters left: 6 (13 enodes) 156.634 * * [simplify]: iters left: 5 (54 enodes) 156.643 * * [simplify]: iters left: 4 (85 enodes) 156.656 * * [simplify]: iters left: 3 (129 enodes) 156.680 * * [simplify]: iters left: 2 (231 enodes) 156.726 * * [simplify]: iters left: 1 (416 enodes) 156.907 * * [simplify]: Extracting #0: cost 1 inf + 0 156.907 * * [simplify]: Extracting #1: cost 6 inf + 0 156.907 * * [simplify]: Extracting #2: cost 44 inf + 0 156.908 * * [simplify]: Extracting #3: cost 141 inf + 1 156.908 * * [simplify]: Extracting #4: cost 182 inf + 586 156.910 * * [simplify]: Extracting #5: cost 150 inf + 3814 156.912 * * [simplify]: Extracting #6: cost 97 inf + 13727 156.921 * * [simplify]: Extracting #7: cost 25 inf + 60284 156.934 * * [simplify]: Extracting #8: cost 0 inf + 79785 156.952 * * [simplify]: Extracting #9: cost 0 inf + 79181 156.977 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 156.977 * [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)))))) 156.977 * * * * [progress]: [ 83 / 315 ] simplifiying candidate # 156.977 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 156.977 * * [simplify]: iters left: 6 (15 enodes) 156.982 * * [simplify]: iters left: 5 (65 enodes) 156.993 * * [simplify]: iters left: 4 (107 enodes) 157.011 * * [simplify]: iters left: 3 (179 enodes) 157.047 * * [simplify]: iters left: 2 (351 enodes) 157.151 * * [simplify]: Extracting #0: cost 1 inf + 0 157.151 * * [simplify]: Extracting #1: cost 43 inf + 0 157.151 * * [simplify]: Extracting #2: cost 141 inf + 0 157.152 * * [simplify]: Extracting #3: cost 206 inf + 2 157.154 * * [simplify]: Extracting #4: cost 186 inf + 6139 157.159 * * [simplify]: Extracting #5: cost 98 inf + 43887 157.174 * * [simplify]: Extracting #6: cost 12 inf + 102397 157.190 * * [simplify]: Extracting #7: cost 0 inf + 112008 157.223 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) 157.224 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 157.224 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 157.224 * * [simplify]: iters left: 6 (14 enodes) 157.233 * * [simplify]: iters left: 5 (60 enodes) 157.256 * * [simplify]: iters left: 4 (98 enodes) 157.289 * * [simplify]: iters left: 3 (157 enodes) 157.342 * * [simplify]: iters left: 2 (285 enodes) 157.409 * * [simplify]: Extracting #0: cost 1 inf + 0 157.409 * * [simplify]: Extracting #1: cost 6 inf + 0 157.409 * * [simplify]: Extracting #2: cost 27 inf + 0 157.409 * * [simplify]: Extracting #3: cost 95 inf + 1 157.409 * * [simplify]: Extracting #4: cost 119 inf + 383 157.411 * * [simplify]: Extracting #5: cost 76 inf + 5898 157.414 * * [simplify]: Extracting #6: cost 27 inf + 18075 157.422 * * [simplify]: Extracting #7: cost 13 inf + 26545 157.433 * * [simplify]: Extracting #8: cost 0 inf + 37107 157.445 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 157.445 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 157.445 * * * * [progress]: [ 84 / 315 ] simplifiying candidate # 157.445 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) 157.446 * * [simplify]: iters left: 6 (11 enodes) 157.452 * * [simplify]: iters left: 5 (45 enodes) 157.468 * * [simplify]: iters left: 4 (72 enodes) 157.492 * * [simplify]: iters left: 3 (113 enodes) 157.514 * * [simplify]: iters left: 2 (204 enodes) 157.567 * * [simplify]: iters left: 1 (395 enodes) 157.726 * * [simplify]: Extracting #0: cost 1 inf + 0 157.726 * * [simplify]: Extracting #1: cost 6 inf + 0 157.726 * * [simplify]: Extracting #2: cost 39 inf + 0 157.727 * * [simplify]: Extracting #3: cost 135 inf + 2 157.728 * * [simplify]: Extracting #4: cost 180 inf + 660 157.729 * * [simplify]: Extracting #5: cost 139 inf + 7378 157.735 * * [simplify]: Extracting #6: cost 41 inf + 40860 157.744 * * [simplify]: Extracting #7: cost 3 inf + 62719 157.758 * * [simplify]: Extracting #8: cost 0 inf + 60717 157.771 * * [simplify]: Extracting #9: cost 0 inf + 59549 157.784 * * [simplify]: Extracting #10: cost 0 inf + 59418 157.797 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))) 157.797 * [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)))))) 157.797 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 157.797 * * [simplify]: iters left: 6 (11 enodes) 157.801 * * [simplify]: iters left: 5 (45 enodes) 157.813 * * [simplify]: iters left: 4 (68 enodes) 157.836 * * [simplify]: iters left: 3 (110 enodes) 157.882 * * [simplify]: iters left: 2 (217 enodes) 157.945 * * [simplify]: iters left: 1 (411 enodes) 158.133 * * [simplify]: Extracting #0: cost 1 inf + 0 158.133 * * [simplify]: Extracting #1: cost 6 inf + 0 158.133 * * [simplify]: Extracting #2: cost 44 inf + 0 158.133 * * [simplify]: Extracting #3: cost 139 inf + 1 158.134 * * [simplify]: Extracting #4: cost 188 inf + 2199 158.139 * * [simplify]: Extracting #5: cost 126 inf + 15210 158.157 * * [simplify]: Extracting #6: cost 20 inf + 58153 158.184 * * [simplify]: Extracting #7: cost 0 inf + 66890 158.214 * * [simplify]: Extracting #8: cost 0 inf + 65371 158.246 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 158.246 * [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))))))) 158.246 * * * * [progress]: [ 85 / 315 ] simplifiying candidate # 158.246 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 158.247 * * [simplify]: iters left: 6 (16 enodes) 158.256 * * [simplify]: iters left: 5 (66 enodes) 158.277 * * [simplify]: iters left: 4 (97 enodes) 158.300 * * [simplify]: iters left: 3 (140 enodes) 158.329 * * [simplify]: iters left: 2 (241 enodes) 158.386 * * [simplify]: iters left: 1 (410 enodes) 158.560 * * [simplify]: Extracting #0: cost 1 inf + 0 158.560 * * [simplify]: Extracting #1: cost 6 inf + 0 158.560 * * [simplify]: Extracting #2: cost 13 inf + 0 158.560 * * [simplify]: Extracting #3: cost 41 inf + 0 158.561 * * [simplify]: Extracting #4: cost 116 inf + 83 158.562 * * [simplify]: Extracting #5: cost 170 inf + 664 158.565 * * [simplify]: Extracting #6: cost 134 inf + 6803 158.573 * * [simplify]: Extracting #7: cost 57 inf + 23217 158.588 * * [simplify]: Extracting #8: cost 24 inf + 44121 158.609 * * [simplify]: Extracting #9: cost 0 inf + 65674 158.630 * * [simplify]: Extracting #10: cost 0 inf + 65212 158.652 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 158.652 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (* (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 158.652 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 158.653 * * [simplify]: iters left: 6 (14 enodes) 158.660 * * [simplify]: iters left: 5 (57 enodes) 158.679 * * [simplify]: iters left: 4 (90 enodes) 158.701 * * [simplify]: iters left: 3 (128 enodes) 158.723 * * [simplify]: iters left: 2 (208 enodes) 158.780 * * [simplify]: iters left: 1 (391 enodes) 158.944 * * [simplify]: Extracting #0: cost 1 inf + 0 158.944 * * [simplify]: Extracting #1: cost 4 inf + 0 158.944 * * [simplify]: Extracting #2: cost 8 inf + 0 158.944 * * [simplify]: Extracting #3: cost 38 inf + 0 158.944 * * [simplify]: Extracting #4: cost 118 inf + 83 158.945 * * [simplify]: Extracting #5: cost 172 inf + 502 158.947 * * [simplify]: Extracting #6: cost 123 inf + 9502 158.951 * * [simplify]: Extracting #7: cost 57 inf + 25415 158.961 * * [simplify]: Extracting #8: cost 7 inf + 63754 158.981 * * [simplify]: Extracting #9: cost 0 inf + 68318 158.993 * * [simplify]: Extracting #10: cost 0 inf + 67725 159.004 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 159.004 * [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))))))) 159.004 * * * * [progress]: [ 86 / 315 ] simplifiying candidate # 159.004 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.004 * * [simplify]: iters left: 6 (15 enodes) 159.009 * * [simplify]: iters left: 5 (61 enodes) 159.026 * * [simplify]: iters left: 4 (91 enodes) 159.055 * * [simplify]: iters left: 3 (131 enodes) 159.091 * * [simplify]: iters left: 2 (227 enodes) 159.150 * * [simplify]: iters left: 1 (404 enodes) 159.333 * * [simplify]: Extracting #0: cost 1 inf + 0 159.333 * * [simplify]: Extracting #1: cost 4 inf + 0 159.333 * * [simplify]: Extracting #2: cost 10 inf + 0 159.333 * * [simplify]: Extracting #3: cost 42 inf + 0 159.334 * * [simplify]: Extracting #4: cost 127 inf + 83 159.335 * * [simplify]: Extracting #5: cost 174 inf + 664 159.338 * * [simplify]: Extracting #6: cost 136 inf + 5219 159.344 * * [simplify]: Extracting #7: cost 59 inf + 23856 159.353 * * [simplify]: Extracting #8: cost 16 inf + 51126 159.365 * * [simplify]: Extracting #9: cost 0 inf + 65839 159.377 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 159.377 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (fabs (cbrt k)) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 159.377 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 159.377 * * [simplify]: iters left: 6 (14 enodes) 159.381 * * [simplify]: iters left: 5 (57 enodes) 159.391 * * [simplify]: iters left: 4 (91 enodes) 159.418 * * [simplify]: iters left: 3 (129 enodes) 159.459 * * [simplify]: iters left: 2 (209 enodes) 159.530 * * [simplify]: iters left: 1 (390 enodes) 159.688 * * [simplify]: Extracting #0: cost 1 inf + 0 159.689 * * [simplify]: Extracting #1: cost 4 inf + 0 159.689 * * [simplify]: Extracting #2: cost 9 inf + 0 159.689 * * [simplify]: Extracting #3: cost 42 inf + 0 159.689 * * [simplify]: Extracting #4: cost 132 inf + 83 159.690 * * [simplify]: Extracting #5: cost 162 inf + 545 159.692 * * [simplify]: Extracting #6: cost 105 inf + 9669 159.701 * * [simplify]: Extracting #7: cost 36 inf + 40005 159.720 * * [simplify]: Extracting #8: cost 1 inf + 64409 159.744 * * [simplify]: Extracting #9: cost 0 inf + 64775 159.757 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 159.757 * [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))))))) 159.757 * * * * [progress]: [ 87 / 315 ] simplifiying candidate # 159.758 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 159.758 * * [simplify]: iters left: 6 (6 enodes) 159.759 * * [simplify]: iters left: 5 (19 enodes) 159.763 * * [simplify]: iters left: 4 (23 enodes) 159.766 * * [simplify]: Extracting #0: cost 1 inf + 0 159.766 * * [simplify]: Extracting #1: cost 5 inf + 0 159.766 * * [simplify]: Extracting #2: cost 7 inf + 1 159.766 * * [simplify]: Extracting #3: cost 6 inf + 2 159.766 * * [simplify]: Extracting #4: cost 0 inf + 648 159.766 * [simplify]: Simplified to (fabs (cbrt k)) 159.766 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 159.766 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 159.766 * * [simplify]: iters left: 6 (13 enodes) 159.770 * * [simplify]: iters left: 5 (54 enodes) 159.779 * * [simplify]: iters left: 4 (85 enodes) 159.801 * * [simplify]: iters left: 3 (129 enodes) 159.851 * * [simplify]: iters left: 2 (231 enodes) 159.934 * * [simplify]: iters left: 1 (416 enodes) 160.161 * * [simplify]: Extracting #0: cost 1 inf + 0 160.161 * * [simplify]: Extracting #1: cost 6 inf + 0 160.162 * * [simplify]: Extracting #2: cost 44 inf + 0 160.162 * * [simplify]: Extracting #3: cost 141 inf + 1 160.164 * * [simplify]: Extracting #4: cost 182 inf + 626 160.166 * * [simplify]: Extracting #5: cost 150 inf + 3894 160.172 * * [simplify]: Extracting #6: cost 97 inf + 13807 160.188 * * [simplify]: Extracting #7: cost 25 inf + 60364 160.213 * * [simplify]: Extracting #8: cost 0 inf + 79865 160.240 * * [simplify]: Extracting #9: cost 0 inf + 79261 160.270 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 160.270 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 160.270 * * * * [progress]: [ 88 / 315 ] simplifiying candidate # 160.270 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 160.271 * * [simplify]: iters left: 6 (15 enodes) 160.275 * * [simplify]: iters left: 5 (64 enodes) 160.287 * * [simplify]: iters left: 4 (102 enodes) 160.304 * * [simplify]: iters left: 3 (161 enodes) 160.336 * * [simplify]: iters left: 2 (285 enodes) 160.393 * * [simplify]: Extracting #0: cost 1 inf + 0 160.393 * * [simplify]: Extracting #1: cost 6 inf + 0 160.394 * * [simplify]: Extracting #2: cost 28 inf + 0 160.394 * * [simplify]: Extracting #3: cost 96 inf + 1 160.394 * * [simplify]: Extracting #4: cost 119 inf + 586 160.395 * * [simplify]: Extracting #5: cost 76 inf + 5334 160.399 * * [simplify]: Extracting #6: cost 26 inf + 18675 160.404 * * [simplify]: Extracting #7: cost 2 inf + 33990 160.409 * * [simplify]: Extracting #8: cost 0 inf + 34738 160.415 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 160.415 * [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)))))) 160.417 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 160.417 * * [simplify]: iters left: 6 (14 enodes) 160.421 * * [simplify]: iters left: 5 (60 enodes) 160.432 * * [simplify]: iters left: 4 (98 enodes) 160.459 * * [simplify]: iters left: 3 (157 enodes) 160.516 * * [simplify]: iters left: 2 (285 enodes) 160.574 * * [simplify]: Extracting #0: cost 1 inf + 0 160.574 * * [simplify]: Extracting #1: cost 6 inf + 0 160.574 * * [simplify]: Extracting #2: cost 27 inf + 0 160.574 * * [simplify]: Extracting #3: cost 95 inf + 1 160.574 * * [simplify]: Extracting #4: cost 119 inf + 423 160.576 * * [simplify]: Extracting #5: cost 76 inf + 5978 160.579 * * [simplify]: Extracting #6: cost 27 inf + 18155 160.583 * * [simplify]: Extracting #7: cost 13 inf + 26625 160.589 * * [simplify]: Extracting #8: cost 0 inf + 37187 160.595 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 160.595 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 160.595 * * * * [progress]: [ 89 / 315 ] simplifiying candidate # 160.595 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 160.595 * * [simplify]: iters left: 6 (10 enodes) 160.601 * * [simplify]: iters left: 5 (41 enodes) 160.615 * * [simplify]: iters left: 4 (64 enodes) 160.640 * * [simplify]: iters left: 3 (106 enodes) 160.680 * * [simplify]: iters left: 2 (210 enodes) 160.755 * * [simplify]: iters left: 1 (398 enodes) 160.896 * * [simplify]: Extracting #0: cost 1 inf + 0 160.896 * * [simplify]: Extracting #1: cost 6 inf + 0 160.896 * * [simplify]: Extracting #2: cost 42 inf + 0 160.897 * * [simplify]: Extracting #3: cost 131 inf + 2 160.898 * * [simplify]: Extracting #4: cost 176 inf + 753 160.900 * * [simplify]: Extracting #5: cost 130 inf + 7477 160.904 * * [simplify]: Extracting #6: cost 73 inf + 19611 160.921 * * [simplify]: Extracting #7: cost 12 inf + 62781 160.945 * * [simplify]: Extracting #8: cost 0 inf + 69768 160.957 * * [simplify]: Extracting #9: cost 0 inf + 69213 160.968 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 160.968 * [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)))))) 160.968 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 160.968 * * [simplify]: iters left: 6 (11 enodes) 160.972 * * [simplify]: iters left: 5 (45 enodes) 160.988 * * [simplify]: iters left: 4 (68 enodes) 161.010 * * [simplify]: iters left: 3 (110 enodes) 161.052 * * [simplify]: iters left: 2 (217 enodes) 161.103 * * [simplify]: iters left: 1 (411 enodes) 161.264 * * [simplify]: Extracting #0: cost 1 inf + 0 161.264 * * [simplify]: Extracting #1: cost 6 inf + 0 161.264 * * [simplify]: Extracting #2: cost 44 inf + 0 161.265 * * [simplify]: Extracting #3: cost 139 inf + 1 161.266 * * [simplify]: Extracting #4: cost 188 inf + 2039 161.268 * * [simplify]: Extracting #5: cost 126 inf + 14890 161.277 * * [simplify]: Extracting #6: cost 20 inf + 57273 161.291 * * [simplify]: Extracting #7: cost 0 inf + 65890 161.306 * * [simplify]: Extracting #8: cost 0 inf + 64371 161.321 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 161.321 * [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))))))) 161.322 * * * * [progress]: [ 90 / 315 ] simplifiying candidate # 161.322 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 161.322 * * [simplify]: iters left: 6 (15 enodes) 161.330 * * [simplify]: iters left: 5 (62 enodes) 161.343 * * [simplify]: iters left: 4 (93 enodes) 161.358 * * [simplify]: iters left: 3 (133 enodes) 161.382 * * [simplify]: iters left: 2 (229 enodes) 161.426 * * [simplify]: iters left: 1 (408 enodes) 161.570 * * [simplify]: Extracting #0: cost 1 inf + 0 161.570 * * [simplify]: Extracting #1: cost 6 inf + 0 161.570 * * [simplify]: Extracting #2: cost 12 inf + 0 161.570 * * [simplify]: Extracting #3: cost 39 inf + 0 161.571 * * [simplify]: Extracting #4: cost 112 inf + 84 161.572 * * [simplify]: Extracting #5: cost 173 inf + 382 161.575 * * [simplify]: Extracting #6: cost 146 inf + 3034 161.582 * * [simplify]: Extracting #7: cost 72 inf + 16734 161.596 * * [simplify]: Extracting #8: cost 19 inf + 47747 161.617 * * [simplify]: Extracting #9: cost 1 inf + 64004 161.635 * * [simplify]: Extracting #10: cost 0 inf + 64420 161.646 * * [simplify]: Extracting #11: cost 0 inf + 64381 161.657 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 161.657 * [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))))))) 161.658 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 161.658 * * [simplify]: iters left: 6 (14 enodes) 161.662 * * [simplify]: iters left: 5 (57 enodes) 161.672 * * [simplify]: iters left: 4 (90 enodes) 161.689 * * [simplify]: iters left: 3 (128 enodes) 161.721 * * [simplify]: iters left: 2 (208 enodes) 161.794 * * [simplify]: iters left: 1 (391 enodes) 161.966 * * [simplify]: Extracting #0: cost 1 inf + 0 161.966 * * [simplify]: Extracting #1: cost 4 inf + 0 161.966 * * [simplify]: Extracting #2: cost 8 inf + 0 161.966 * * [simplify]: Extracting #3: cost 38 inf + 0 161.967 * * [simplify]: Extracting #4: cost 118 inf + 43 161.968 * * [simplify]: Extracting #5: cost 172 inf + 382 161.971 * * [simplify]: Extracting #6: cost 123 inf + 9262 161.976 * * [simplify]: Extracting #7: cost 57 inf + 25175 161.986 * * [simplify]: Extracting #8: cost 7 inf + 63514 162.000 * * [simplify]: Extracting #9: cost 0 inf + 68078 162.021 * * [simplify]: Extracting #10: cost 0 inf + 67485 162.043 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.043 * [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))))))) 162.044 * * * * [progress]: [ 91 / 315 ] simplifiying candidate # 162.044 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.044 * * [simplify]: iters left: 6 (14 enodes) 162.052 * * [simplify]: iters left: 5 (57 enodes) 162.072 * * [simplify]: iters left: 4 (91 enodes) 162.101 * * [simplify]: iters left: 3 (129 enodes) 162.147 * * [simplify]: iters left: 2 (209 enodes) 162.200 * * [simplify]: iters left: 1 (390 enodes) 162.364 * * [simplify]: Extracting #0: cost 1 inf + 0 162.364 * * [simplify]: Extracting #1: cost 4 inf + 0 162.364 * * [simplify]: Extracting #2: cost 9 inf + 0 162.364 * * [simplify]: Extracting #3: cost 42 inf + 0 162.365 * * [simplify]: Extracting #4: cost 132 inf + 43 162.366 * * [simplify]: Extracting #5: cost 162 inf + 425 162.368 * * [simplify]: Extracting #6: cost 105 inf + 9509 162.376 * * [simplify]: Extracting #7: cost 36 inf + 39765 162.395 * * [simplify]: Extracting #8: cost 1 inf + 64169 162.416 * * [simplify]: Extracting #9: cost 0 inf + 64535 162.429 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.429 * [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))))))) 162.430 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 162.430 * * [simplify]: iters left: 6 (14 enodes) 162.434 * * [simplify]: iters left: 5 (57 enodes) 162.447 * * [simplify]: iters left: 4 (91 enodes) 162.471 * * [simplify]: iters left: 3 (129 enodes) 162.493 * * [simplify]: iters left: 2 (209 enodes) 162.568 * * [simplify]: iters left: 1 (390 enodes) 162.718 * * [simplify]: Extracting #0: cost 1 inf + 0 162.718 * * [simplify]: Extracting #1: cost 4 inf + 0 162.718 * * [simplify]: Extracting #2: cost 9 inf + 0 162.718 * * [simplify]: Extracting #3: cost 42 inf + 0 162.718 * * [simplify]: Extracting #4: cost 132 inf + 43 162.719 * * [simplify]: Extracting #5: cost 162 inf + 425 162.721 * * [simplify]: Extracting #6: cost 105 inf + 9509 162.726 * * [simplify]: Extracting #7: cost 36 inf + 39765 162.749 * * [simplify]: Extracting #8: cost 1 inf + 64169 162.770 * * [simplify]: Extracting #9: cost 0 inf + 64535 162.790 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 162.790 * [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))))))) 162.790 * * * * [progress]: [ 92 / 315 ] simplifiying candidate # 162.791 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 162.791 * * [simplify]: iters left: 4 (5 enodes) 162.794 * * [simplify]: iters left: 3 (15 enodes) 162.799 * * [simplify]: iters left: 2 (17 enodes) 162.804 * * [simplify]: iters left: 1 (19 enodes) 162.809 * * [simplify]: Extracting #0: cost 1 inf + 0 162.809 * * [simplify]: Extracting #1: cost 4 inf + 0 162.810 * * [simplify]: Extracting #2: cost 5 inf + 1 162.810 * * [simplify]: Extracting #3: cost 4 inf + 2 162.810 * * [simplify]: Extracting #4: cost 1 inf + 165 162.810 * * [simplify]: Extracting #5: cost 0 inf + 246 162.810 * [simplify]: Simplified to (sqrt (sqrt k)) 162.810 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 162.810 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 162.811 * * [simplify]: iters left: 6 (13 enodes) 162.818 * * [simplify]: iters left: 5 (54 enodes) 162.836 * * [simplify]: iters left: 4 (85 enodes) 162.863 * * [simplify]: iters left: 3 (129 enodes) 162.894 * * [simplify]: iters left: 2 (231 enodes) 162.957 * * [simplify]: iters left: 1 (416 enodes) 163.104 * * [simplify]: Extracting #0: cost 1 inf + 0 163.104 * * [simplify]: Extracting #1: cost 6 inf + 0 163.105 * * [simplify]: Extracting #2: cost 44 inf + 0 163.105 * * [simplify]: Extracting #3: cost 141 inf + 1 163.107 * * [simplify]: Extracting #4: cost 182 inf + 506 163.109 * * [simplify]: Extracting #5: cost 150 inf + 3734 163.115 * * [simplify]: Extracting #6: cost 97 inf + 13487 163.130 * * [simplify]: Extracting #7: cost 25 inf + 59524 163.156 * * [simplify]: Extracting #8: cost 0 inf + 78865 163.186 * * [simplify]: Extracting #9: cost 0 inf + 78261 163.212 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 163.212 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 163.213 * * * * [progress]: [ 93 / 315 ] simplifiying candidate # 163.213 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 163.213 * * [simplify]: iters left: 6 (14 enodes) 163.222 * * [simplify]: iters left: 5 (60 enodes) 163.242 * * [simplify]: iters left: 4 (98 enodes) 163.275 * * [simplify]: iters left: 3 (157 enodes) 163.305 * * [simplify]: iters left: 2 (285 enodes) 163.409 * * [simplify]: Extracting #0: cost 1 inf + 0 163.410 * * [simplify]: Extracting #1: cost 6 inf + 0 163.410 * * [simplify]: Extracting #2: cost 27 inf + 0 163.410 * * [simplify]: Extracting #3: cost 95 inf + 1 163.411 * * [simplify]: Extracting #4: cost 119 inf + 343 163.413 * * [simplify]: Extracting #5: cost 76 inf + 5818 163.419 * * [simplify]: Extracting #6: cost 27 inf + 17675 163.428 * * [simplify]: Extracting #7: cost 13 inf + 25985 163.439 * * [simplify]: Extracting #8: cost 0 inf + 36507 163.453 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 163.453 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 163.453 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 163.453 * * [simplify]: iters left: 6 (14 enodes) 163.462 * * [simplify]: iters left: 5 (60 enodes) 163.483 * * [simplify]: iters left: 4 (98 enodes) 163.508 * * [simplify]: iters left: 3 (157 enodes) 163.539 * * [simplify]: iters left: 2 (285 enodes) 163.616 * * [simplify]: Extracting #0: cost 1 inf + 0 163.616 * * [simplify]: Extracting #1: cost 6 inf + 0 163.616 * * [simplify]: Extracting #2: cost 27 inf + 0 163.617 * * [simplify]: Extracting #3: cost 95 inf + 1 163.618 * * [simplify]: Extracting #4: cost 119 inf + 343 163.620 * * [simplify]: Extracting #5: cost 76 inf + 5818 163.626 * * [simplify]: Extracting #6: cost 27 inf + 17675 163.631 * * [simplify]: Extracting #7: cost 13 inf + 25985 163.636 * * [simplify]: Extracting #8: cost 0 inf + 36507 163.642 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 163.642 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 163.642 * * * * [progress]: [ 94 / 315 ] simplifiying candidate # 163.643 * [simplify]: Simplifying (/ (sqrt 1) (pow n (/ (- 1 k) 2))) 163.643 * * [simplify]: iters left: 6 (9 enodes) 163.646 * * [simplify]: iters left: 5 (38 enodes) 163.657 * * [simplify]: iters left: 4 (61 enodes) 163.674 * * [simplify]: iters left: 3 (103 enodes) 163.715 * * [simplify]: iters left: 2 (207 enodes) 163.795 * * [simplify]: iters left: 1 (398 enodes) 163.940 * * [simplify]: Extracting #0: cost 1 inf + 0 163.940 * * [simplify]: Extracting #1: cost 6 inf + 0 163.940 * * [simplify]: Extracting #2: cost 42 inf + 1 163.940 * * [simplify]: Extracting #3: cost 141 inf + 3 163.941 * * [simplify]: Extracting #4: cost 198 inf + 10 163.942 * * [simplify]: Extracting #5: cost 173 inf + 2583 163.945 * * [simplify]: Extracting #6: cost 101 inf + 11443 163.951 * * [simplify]: Extracting #7: cost 51 inf + 37530 163.973 * * [simplify]: Extracting #8: cost 1 inf + 78053 163.996 * * [simplify]: Extracting #9: cost 0 inf + 77051 164.019 * * [simplify]: Extracting #10: cost 0 inf + 74835 164.043 * * [simplify]: Extracting #11: cost 0 inf + 74088 164.060 * * [simplify]: Extracting #12: cost 0 inf + 73997 164.073 * [simplify]: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 164.073 * [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)))))) 164.073 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 164.073 * * [simplify]: iters left: 6 (10 enodes) 164.077 * * [simplify]: iters left: 5 (42 enodes) 164.084 * * [simplify]: iters left: 4 (65 enodes) 164.102 * * [simplify]: iters left: 3 (104 enodes) 164.142 * * [simplify]: iters left: 2 (206 enodes) 164.191 * * [simplify]: iters left: 1 (399 enodes) 164.354 * * [simplify]: Extracting #0: cost 1 inf + 0 164.355 * * [simplify]: Extracting #1: cost 6 inf + 0 164.355 * * [simplify]: Extracting #2: cost 44 inf + 0 164.355 * * [simplify]: Extracting #3: cost 133 inf + 84 164.356 * * [simplify]: Extracting #4: cost 186 inf + 719 164.358 * * [simplify]: Extracting #5: cost 133 inf + 8277 164.369 * * [simplify]: Extracting #6: cost 50 inf + 37540 164.391 * * [simplify]: Extracting #7: cost 0 inf + 77842 164.417 * * [simplify]: Extracting #8: cost 0 inf + 74893 164.438 * * [simplify]: Extracting #9: cost 0 inf + 73410 164.460 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 164.460 * [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))))))) 164.460 * * * * [progress]: [ 95 / 315 ] simplifiying candidate # 164.460 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 164.461 * * [simplify]: iters left: 6 (14 enodes) 164.469 * * [simplify]: iters left: 5 (59 enodes) 164.485 * * [simplify]: iters left: 4 (97 enodes) 164.501 * * [simplify]: iters left: 3 (138 enodes) 164.534 * * [simplify]: iters left: 2 (218 enodes) 164.579 * * [simplify]: iters left: 1 (401 enodes) 164.774 * * [simplify]: Extracting #0: cost 1 inf + 0 164.775 * * [simplify]: Extracting #1: cost 7 inf + 0 164.775 * * [simplify]: Extracting #2: cost 11 inf + 1 164.775 * * [simplify]: Extracting #3: cost 38 inf + 1 164.775 * * [simplify]: Extracting #4: cost 109 inf + 2 164.776 * * [simplify]: Extracting #5: cost 168 inf + 218 164.778 * * [simplify]: Extracting #6: cost 169 inf + 603 164.782 * * [simplify]: Extracting #7: cost 106 inf + 7342 164.793 * * [simplify]: Extracting #8: cost 39 inf + 32459 164.814 * * [simplify]: Extracting #9: cost 2 inf + 60163 164.832 * * [simplify]: Extracting #10: cost 0 inf + 61825 164.847 * [simplify]: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.847 * [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))))))) 164.847 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 164.847 * * [simplify]: iters left: 6 (13 enodes) 164.851 * * [simplify]: iters left: 5 (54 enodes) 164.860 * * [simplify]: iters left: 4 (87 enodes) 164.885 * * [simplify]: iters left: 3 (129 enodes) 164.919 * * [simplify]: iters left: 2 (210 enodes) 164.982 * * [simplify]: iters left: 1 (393 enodes) 165.166 * * [simplify]: Extracting #0: cost 1 inf + 0 165.166 * * [simplify]: Extracting #1: cost 4 inf + 0 165.166 * * [simplify]: Extracting #2: cost 8 inf + 0 165.166 * * [simplify]: Extracting #3: cost 34 inf + 1 165.166 * * [simplify]: Extracting #4: cost 113 inf + 43 165.167 * * [simplify]: Extracting #5: cost 161 inf + 301 165.172 * * [simplify]: Extracting #6: cost 123 inf + 5672 165.175 * * [simplify]: Extracting #7: cost 64 inf + 17337 165.183 * * [simplify]: Extracting #8: cost 15 inf + 53224 165.194 * * [simplify]: Extracting #9: cost 0 inf + 65015 165.214 * * [simplify]: Extracting #10: cost 0 inf + 64208 165.234 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.234 * [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))))))) 165.234 * * * * [progress]: [ 96 / 315 ] simplifiying candidate # 165.235 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.235 * * [simplify]: iters left: 6 (13 enodes) 165.241 * * [simplify]: iters left: 5 (54 enodes) 165.251 * * [simplify]: iters left: 4 (88 enodes) 165.266 * * [simplify]: iters left: 3 (126 enodes) 165.297 * * [simplify]: iters left: 2 (206 enodes) 165.367 * * [simplify]: iters left: 1 (396 enodes) 165.510 * * [simplify]: Extracting #0: cost 1 inf + 0 165.510 * * [simplify]: Extracting #1: cost 4 inf + 0 165.510 * * [simplify]: Extracting #2: cost 6 inf + 1 165.510 * * [simplify]: Extracting #3: cost 36 inf + 1 165.511 * * [simplify]: Extracting #4: cost 126 inf + 2 165.511 * * [simplify]: Extracting #5: cost 162 inf + 177 165.512 * * [simplify]: Extracting #6: cost 161 inf + 558 165.514 * * [simplify]: Extracting #7: cost 91 inf + 12113 165.522 * * [simplify]: Extracting #8: cost 12 inf + 54486 165.532 * * [simplify]: Extracting #9: cost 0 inf + 65125 165.542 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.542 * [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))))))) 165.542 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.542 * * [simplify]: iters left: 6 (13 enodes) 165.550 * * [simplify]: iters left: 5 (54 enodes) 165.560 * * [simplify]: iters left: 4 (88 enodes) 165.584 * * [simplify]: iters left: 3 (126 enodes) 165.626 * * [simplify]: iters left: 2 (206 enodes) 165.709 * * [simplify]: iters left: 1 (396 enodes) 165.886 * * [simplify]: Extracting #0: cost 1 inf + 0 165.887 * * [simplify]: Extracting #1: cost 4 inf + 0 165.887 * * [simplify]: Extracting #2: cost 9 inf + 0 165.887 * * [simplify]: Extracting #3: cost 38 inf + 1 165.887 * * [simplify]: Extracting #4: cost 128 inf + 43 165.888 * * [simplify]: Extracting #5: cost 156 inf + 592 165.892 * * [simplify]: Extracting #6: cost 105 inf + 7879 165.899 * * [simplify]: Extracting #7: cost 39 inf + 35445 165.909 * * [simplify]: Extracting #8: cost 0 inf + 67090 165.919 * * [simplify]: Extracting #9: cost 0 inf + 65054 165.930 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 165.931 * [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))))))) 165.931 * * * * [progress]: [ 97 / 315 ] simplifiying candidate # 165.931 * [simplify]: Simplifying (/ (sqrt 1) 1) 165.931 * * [simplify]: iters left: 3 (3 enodes) 165.933 * * [simplify]: iters left: 2 (9 enodes) 165.935 * * [simplify]: iters left: 1 (11 enodes) 165.936 * * [simplify]: Extracting #0: cost 1 inf + 0 165.936 * * [simplify]: Extracting #1: cost 0 inf + 1 165.936 * [simplify]: Simplified to 1 165.936 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 165.937 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 165.937 * * [simplify]: iters left: 6 (12 enodes) 165.941 * * [simplify]: iters left: 5 (51 enodes) 165.959 * * [simplify]: iters left: 4 (86 enodes) 165.980 * * [simplify]: iters left: 3 (133 enodes) 166.005 * * [simplify]: iters left: 2 (224 enodes) 166.087 * * [simplify]: iters left: 1 (420 enodes) 166.256 * * [simplify]: Extracting #0: cost 1 inf + 0 166.257 * * [simplify]: Extracting #1: cost 6 inf + 0 166.257 * * [simplify]: Extracting #2: cost 43 inf + 0 166.258 * * [simplify]: Extracting #3: cost 141 inf + 43 166.259 * * [simplify]: Extracting #4: cost 183 inf + 344 166.262 * * [simplify]: Extracting #5: cost 150 inf + 4066 166.266 * * [simplify]: Extracting #6: cost 80 inf + 19545 166.278 * * [simplify]: Extracting #7: cost 20 inf + 61114 166.290 * * [simplify]: Extracting #8: cost 0 inf + 78849 166.308 * * [simplify]: Extracting #9: cost 0 inf + 77776 166.334 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 166.334 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 166.335 * * * * [progress]: [ 98 / 315 ] simplifiying candidate # 166.335 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 166.335 * * [simplify]: iters left: 6 (13 enodes) 166.344 * * [simplify]: iters left: 5 (57 enodes) 166.363 * * [simplify]: iters left: 4 (95 enodes) 166.391 * * [simplify]: iters left: 3 (150 enodes) 166.421 * * [simplify]: iters left: 2 (262 enodes) 166.485 * * [simplify]: iters left: 1 (476 enodes) 166.694 * * [simplify]: Extracting #0: cost 1 inf + 0 166.694 * * [simplify]: Extracting #1: cost 6 inf + 0 166.695 * * [simplify]: Extracting #2: cost 38 inf + 1 166.695 * * [simplify]: Extracting #3: cost 142 inf + 2 166.696 * * [simplify]: Extracting #4: cost 208 inf + 179 166.697 * * [simplify]: Extracting #5: cost 185 inf + 3373 166.701 * * [simplify]: Extracting #6: cost 82 inf + 25096 166.711 * * [simplify]: Extracting #7: cost 18 inf + 62710 166.724 * * [simplify]: Extracting #8: cost 0 inf + 79831 166.749 * * [simplify]: Extracting #9: cost 0 inf + 78141 166.774 * * [simplify]: Extracting #10: cost 0 inf + 77879 166.799 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 166.799 * [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)))))) 166.799 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 166.799 * * [simplify]: iters left: 6 (13 enodes) 166.810 * * [simplify]: iters left: 5 (57 enodes) 166.830 * * [simplify]: iters left: 4 (95 enodes) 166.860 * * [simplify]: iters left: 3 (150 enodes) 166.900 * * [simplify]: iters left: 2 (262 enodes) 166.959 * * [simplify]: iters left: 1 (476 enodes) 167.160 * * [simplify]: Extracting #0: cost 1 inf + 0 167.160 * * [simplify]: Extracting #1: cost 6 inf + 0 167.161 * * [simplify]: Extracting #2: cost 41 inf + 0 167.161 * * [simplify]: Extracting #3: cost 143 inf + 84 167.162 * * [simplify]: Extracting #4: cost 203 inf + 471 167.164 * * [simplify]: Extracting #5: cost 147 inf + 8594 167.172 * * [simplify]: Extracting #6: cost 38 inf + 52505 167.185 * * [simplify]: Extracting #7: cost 3 inf + 78819 167.209 * * [simplify]: Extracting #8: cost 0 inf + 80962 167.234 * * [simplify]: Extracting #9: cost 0 inf + 79264 167.258 * * [simplify]: Extracting #10: cost 0 inf + 78209 167.283 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 167.283 * [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)))))) 167.283 * * * * [progress]: [ 99 / 315 ] simplifiying candidate # 167.284 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 167.284 * * [simplify]: iters left: 6 (10 enodes) 167.291 * * [simplify]: iters left: 5 (41 enodes) 167.305 * * [simplify]: iters left: 4 (64 enodes) 167.328 * * [simplify]: iters left: 3 (106 enodes) 167.371 * * [simplify]: iters left: 2 (210 enodes) 167.429 * * [simplify]: iters left: 1 (398 enodes) 167.564 * * [simplify]: Extracting #0: cost 1 inf + 0 167.565 * * [simplify]: Extracting #1: cost 6 inf + 0 167.565 * * [simplify]: Extracting #2: cost 42 inf + 0 167.565 * * [simplify]: Extracting #3: cost 131 inf + 2 167.567 * * [simplify]: Extracting #4: cost 176 inf + 753 167.571 * * [simplify]: Extracting #5: cost 130 inf + 7477 167.579 * * [simplify]: Extracting #6: cost 73 inf + 19611 167.597 * * [simplify]: Extracting #7: cost 12 inf + 62781 167.618 * * [simplify]: Extracting #8: cost 0 inf + 69768 167.640 * * [simplify]: Extracting #9: cost 0 inf + 69213 167.667 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) 167.667 * [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)))))) 167.667 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 167.667 * * [simplify]: iters left: 6 (11 enodes) 167.674 * * [simplify]: iters left: 5 (45 enodes) 167.689 * * [simplify]: iters left: 4 (68 enodes) 167.711 * * [simplify]: iters left: 3 (110 enodes) 167.749 * * [simplify]: iters left: 2 (217 enodes) 167.805 * * [simplify]: iters left: 1 (411 enodes) 167.962 * * [simplify]: Extracting #0: cost 1 inf + 0 167.962 * * [simplify]: Extracting #1: cost 6 inf + 0 167.963 * * [simplify]: Extracting #2: cost 44 inf + 0 167.968 * * [simplify]: Extracting #3: cost 139 inf + 1 167.970 * * [simplify]: Extracting #4: cost 188 inf + 2039 167.976 * * [simplify]: Extracting #5: cost 126 inf + 14890 167.993 * * [simplify]: Extracting #6: cost 20 inf + 57273 168.016 * * [simplify]: Extracting #7: cost 0 inf + 65890 168.031 * * [simplify]: Extracting #8: cost 0 inf + 64371 168.059 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 168.059 * [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))))))) 168.060 * * * * [progress]: [ 100 / 315 ] simplifiying candidate # 168.060 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 168.060 * * [simplify]: iters left: 6 (15 enodes) 168.069 * * [simplify]: iters left: 5 (62 enodes) 168.088 * * [simplify]: iters left: 4 (93 enodes) 168.104 * * [simplify]: iters left: 3 (133 enodes) 168.131 * * [simplify]: iters left: 2 (229 enodes) 168.189 * * [simplify]: iters left: 1 (408 enodes) 168.353 * * [simplify]: Extracting #0: cost 1 inf + 0 168.354 * * [simplify]: Extracting #1: cost 6 inf + 0 168.354 * * [simplify]: Extracting #2: cost 12 inf + 0 168.354 * * [simplify]: Extracting #3: cost 39 inf + 0 168.355 * * [simplify]: Extracting #4: cost 112 inf + 84 168.356 * * [simplify]: Extracting #5: cost 173 inf + 382 168.358 * * [simplify]: Extracting #6: cost 146 inf + 3034 168.362 * * [simplify]: Extracting #7: cost 72 inf + 16734 168.369 * * [simplify]: Extracting #8: cost 19 inf + 47747 168.383 * * [simplify]: Extracting #9: cost 1 inf + 64004 168.394 * * [simplify]: Extracting #10: cost 0 inf + 64420 168.406 * * [simplify]: Extracting #11: cost 0 inf + 64381 168.417 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 168.417 * [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))))))) 168.418 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.418 * * [simplify]: iters left: 6 (14 enodes) 168.422 * * [simplify]: iters left: 5 (57 enodes) 168.433 * * [simplify]: iters left: 4 (90 enodes) 168.461 * * [simplify]: iters left: 3 (128 enodes) 168.502 * * [simplify]: iters left: 2 (208 enodes) 168.560 * * [simplify]: iters left: 1 (391 enodes) 168.756 * * [simplify]: Extracting #0: cost 1 inf + 0 168.756 * * [simplify]: Extracting #1: cost 4 inf + 0 168.756 * * [simplify]: Extracting #2: cost 8 inf + 0 168.756 * * [simplify]: Extracting #3: cost 38 inf + 0 168.757 * * [simplify]: Extracting #4: cost 118 inf + 43 168.758 * * [simplify]: Extracting #5: cost 172 inf + 382 168.762 * * [simplify]: Extracting #6: cost 123 inf + 9262 168.768 * * [simplify]: Extracting #7: cost 57 inf + 25175 168.778 * * [simplify]: Extracting #8: cost 7 inf + 63514 168.789 * * [simplify]: Extracting #9: cost 0 inf + 68078 168.800 * * [simplify]: Extracting #10: cost 0 inf + 67485 168.825 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 168.825 * [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))))))) 168.826 * * * * [progress]: [ 101 / 315 ] simplifiying candidate # 168.826 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 168.826 * * [simplify]: iters left: 6 (14 enodes) 168.834 * * [simplify]: iters left: 5 (57 enodes) 168.853 * * [simplify]: iters left: 4 (91 enodes) 168.880 * * [simplify]: iters left: 3 (129 enodes) 168.923 * * [simplify]: iters left: 2 (209 enodes) 168.983 * * [simplify]: iters left: 1 (390 enodes) 169.175 * * [simplify]: Extracting #0: cost 1 inf + 0 169.175 * * [simplify]: Extracting #1: cost 4 inf + 0 169.175 * * [simplify]: Extracting #2: cost 9 inf + 0 169.175 * * [simplify]: Extracting #3: cost 42 inf + 0 169.178 * * [simplify]: Extracting #4: cost 132 inf + 43 169.179 * * [simplify]: Extracting #5: cost 162 inf + 425 169.181 * * [simplify]: Extracting #6: cost 105 inf + 9509 169.191 * * [simplify]: Extracting #7: cost 36 inf + 39765 169.209 * * [simplify]: Extracting #8: cost 1 inf + 64169 169.222 * * [simplify]: Extracting #9: cost 0 inf + 64535 169.232 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 169.232 * [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))))))) 169.233 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 169.233 * * [simplify]: iters left: 6 (14 enodes) 169.237 * * [simplify]: iters left: 5 (57 enodes) 169.247 * * [simplify]: iters left: 4 (91 enodes) 169.275 * * [simplify]: iters left: 3 (129 enodes) 169.299 * * [simplify]: iters left: 2 (209 enodes) 169.374 * * [simplify]: iters left: 1 (390 enodes) 169.568 * * [simplify]: Extracting #0: cost 1 inf + 0 169.569 * * [simplify]: Extracting #1: cost 4 inf + 0 169.569 * * [simplify]: Extracting #2: cost 9 inf + 0 169.569 * * [simplify]: Extracting #3: cost 42 inf + 0 169.569 * * [simplify]: Extracting #4: cost 132 inf + 43 169.570 * * [simplify]: Extracting #5: cost 162 inf + 425 169.573 * * [simplify]: Extracting #6: cost 105 inf + 9509 169.584 * * [simplify]: Extracting #7: cost 36 inf + 39765 169.603 * * [simplify]: Extracting #8: cost 1 inf + 64169 169.624 * * [simplify]: Extracting #9: cost 0 inf + 64535 169.645 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 169.645 * [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))))))) 169.648 * * * * [progress]: [ 102 / 315 ] simplifiying candidate # 169.649 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 169.649 * * [simplify]: iters left: 4 (5 enodes) 169.650 * * [simplify]: iters left: 3 (15 enodes) 169.653 * * [simplify]: iters left: 2 (17 enodes) 169.656 * * [simplify]: iters left: 1 (19 enodes) 169.658 * * [simplify]: Extracting #0: cost 1 inf + 0 169.658 * * [simplify]: Extracting #1: cost 4 inf + 0 169.658 * * [simplify]: Extracting #2: cost 5 inf + 1 169.658 * * [simplify]: Extracting #3: cost 4 inf + 2 169.658 * * [simplify]: Extracting #4: cost 1 inf + 165 169.659 * * [simplify]: Extracting #5: cost 0 inf + 246 169.659 * [simplify]: Simplified to (sqrt (sqrt k)) 169.659 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 169.659 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 169.659 * * [simplify]: iters left: 6 (13 enodes) 169.662 * * [simplify]: iters left: 5 (54 enodes) 169.671 * * [simplify]: iters left: 4 (85 enodes) 169.689 * * [simplify]: iters left: 3 (129 enodes) 169.733 * * [simplify]: iters left: 2 (231 enodes) 169.790 * * [simplify]: iters left: 1 (416 enodes) 169.937 * * [simplify]: Extracting #0: cost 1 inf + 0 169.937 * * [simplify]: Extracting #1: cost 6 inf + 0 169.937 * * [simplify]: Extracting #2: cost 44 inf + 0 169.938 * * [simplify]: Extracting #3: cost 141 inf + 1 169.939 * * [simplify]: Extracting #4: cost 182 inf + 506 169.942 * * [simplify]: Extracting #5: cost 150 inf + 3734 169.947 * * [simplify]: Extracting #6: cost 97 inf + 13487 169.963 * * [simplify]: Extracting #7: cost 25 inf + 59524 169.988 * * [simplify]: Extracting #8: cost 0 inf + 78865 170.001 * * [simplify]: Extracting #9: cost 0 inf + 78261 170.015 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2))) 170.015 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ (- 1 k) 2)))))) 170.015 * * * * [progress]: [ 103 / 315 ] simplifiying candidate # 170.015 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 170.015 * * [simplify]: iters left: 6 (14 enodes) 170.020 * * [simplify]: iters left: 5 (60 enodes) 170.040 * * [simplify]: iters left: 4 (98 enodes) 170.073 * * [simplify]: iters left: 3 (157 enodes) 170.126 * * [simplify]: iters left: 2 (285 enodes) 170.190 * * [simplify]: Extracting #0: cost 1 inf + 0 170.190 * * [simplify]: Extracting #1: cost 6 inf + 0 170.190 * * [simplify]: Extracting #2: cost 27 inf + 0 170.190 * * [simplify]: Extracting #3: cost 95 inf + 1 170.190 * * [simplify]: Extracting #4: cost 119 inf + 343 170.192 * * [simplify]: Extracting #5: cost 76 inf + 5818 170.195 * * [simplify]: Extracting #6: cost 27 inf + 17675 170.199 * * [simplify]: Extracting #7: cost 13 inf + 25985 170.206 * * [simplify]: Extracting #8: cost 0 inf + 36507 170.218 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 170.218 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 170.218 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 170.219 * * [simplify]: iters left: 6 (14 enodes) 170.225 * * [simplify]: iters left: 5 (60 enodes) 170.236 * * [simplify]: iters left: 4 (98 enodes) 170.258 * * [simplify]: iters left: 3 (157 enodes) 170.316 * * [simplify]: iters left: 2 (285 enodes) 170.393 * * [simplify]: Extracting #0: cost 1 inf + 0 170.394 * * [simplify]: Extracting #1: cost 6 inf + 0 170.394 * * [simplify]: Extracting #2: cost 27 inf + 0 170.394 * * [simplify]: Extracting #3: cost 95 inf + 1 170.395 * * [simplify]: Extracting #4: cost 119 inf + 343 170.396 * * [simplify]: Extracting #5: cost 76 inf + 5818 170.399 * * [simplify]: Extracting #6: cost 27 inf + 17675 170.404 * * [simplify]: Extracting #7: cost 13 inf + 25985 170.414 * * [simplify]: Extracting #8: cost 0 inf + 36507 170.425 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4)))) 170.426 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/4 (/ k 4))))))) 170.426 * * * * [progress]: [ 104 / 315 ] simplifiying candidate # 170.426 * [simplify]: Simplifying (/ 1 (pow n (/ (- 1 k) 2))) 170.426 * * [simplify]: iters left: 6 (8 enodes) 170.431 * * [simplify]: iters left: 5 (35 enodes) 170.444 * * [simplify]: iters left: 4 (58 enodes) 170.464 * * [simplify]: iters left: 3 (97 enodes) 170.506 * * [simplify]: iters left: 2 (199 enodes) 170.580 * * [simplify]: iters left: 1 (379 enodes) 170.767 * * [simplify]: Extracting #0: cost 1 inf + 0 170.767 * * [simplify]: Extracting #1: cost 6 inf + 0 170.767 * * [simplify]: Extracting #2: cost 40 inf + 1 170.767 * * [simplify]: Extracting #3: cost 131 inf + 3 170.768 * * [simplify]: Extracting #4: cost 179 inf + 9 170.769 * * [simplify]: Extracting #5: cost 160 inf + 1918 170.772 * * [simplify]: Extracting #6: cost 90 inf + 13396 170.785 * * [simplify]: Extracting #7: cost 22 inf + 50970 170.803 * * [simplify]: Extracting #8: cost 1 inf + 68352 170.812 * * [simplify]: Extracting #9: cost 0 inf + 68550 170.822 * * [simplify]: Extracting #10: cost 0 inf + 68128 170.832 * [simplify]: Simplified to (/ 1 (pow n (* 1/2 (- 1 k)))) 170.832 * [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)))))) 170.832 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 170.832 * * [simplify]: iters left: 6 (10 enodes) 170.835 * * [simplify]: iters left: 5 (42 enodes) 170.850 * * [simplify]: iters left: 4 (65 enodes) 170.872 * * [simplify]: iters left: 3 (104 enodes) 170.903 * * [simplify]: iters left: 2 (206 enodes) 170.958 * * [simplify]: iters left: 1 (399 enodes) 171.147 * * [simplify]: Extracting #0: cost 1 inf + 0 171.147 * * [simplify]: Extracting #1: cost 6 inf + 0 171.147 * * [simplify]: Extracting #2: cost 44 inf + 0 171.148 * * [simplify]: Extracting #3: cost 133 inf + 84 171.149 * * [simplify]: Extracting #4: cost 186 inf + 719 171.154 * * [simplify]: Extracting #5: cost 133 inf + 8277 171.165 * * [simplify]: Extracting #6: cost 50 inf + 37540 171.190 * * [simplify]: Extracting #7: cost 0 inf + 77842 171.207 * * [simplify]: Extracting #8: cost 0 inf + 74893 171.218 * * [simplify]: Extracting #9: cost 0 inf + 73410 171.229 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 171.229 * [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))))))) 171.229 * * * * [progress]: [ 105 / 315 ] simplifiying candidate # 171.229 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 171.229 * * [simplify]: iters left: 6 (13 enodes) 171.233 * * [simplify]: iters left: 5 (56 enodes) 171.243 * * [simplify]: iters left: 4 (91 enodes) 171.266 * * [simplify]: iters left: 3 (129 enodes) 171.291 * * [simplify]: iters left: 2 (209 enodes) 171.370 * * [simplify]: iters left: 1 (395 enodes) 171.503 * * [simplify]: Extracting #0: cost 1 inf + 0 171.503 * * [simplify]: Extracting #1: cost 6 inf + 0 171.503 * * [simplify]: Extracting #2: cost 9 inf + 1 171.503 * * [simplify]: Extracting #3: cost 37 inf + 1 171.503 * * [simplify]: Extracting #4: cost 121 inf + 2 171.504 * * [simplify]: Extracting #5: cost 171 inf + 259 171.505 * * [simplify]: Extracting #6: cost 157 inf + 1799 171.509 * * [simplify]: Extracting #7: cost 75 inf + 21173 171.518 * * [simplify]: Extracting #8: cost 27 inf + 46355 171.536 * * [simplify]: Extracting #9: cost 0 inf + 68681 171.556 * * [simplify]: Extracting #10: cost 0 inf + 67777 171.573 * * [simplify]: Extracting #11: cost 0 inf + 67485 171.586 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) 171.586 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 171.586 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 171.587 * * [simplify]: iters left: 6 (13 enodes) 171.591 * * [simplify]: iters left: 5 (54 enodes) 171.600 * * [simplify]: iters left: 4 (87 enodes) 171.615 * * [simplify]: iters left: 3 (129 enodes) 171.658 * * [simplify]: iters left: 2 (210 enodes) 171.737 * * [simplify]: iters left: 1 (393 enodes) 171.887 * * [simplify]: Extracting #0: cost 1 inf + 0 171.887 * * [simplify]: Extracting #1: cost 4 inf + 0 171.887 * * [simplify]: Extracting #2: cost 8 inf + 0 171.888 * * [simplify]: Extracting #3: cost 34 inf + 1 171.888 * * [simplify]: Extracting #4: cost 113 inf + 43 171.889 * * [simplify]: Extracting #5: cost 161 inf + 301 171.892 * * [simplify]: Extracting #6: cost 123 inf + 5672 171.898 * * [simplify]: Extracting #7: cost 64 inf + 17337 171.913 * * [simplify]: Extracting #8: cost 15 inf + 53224 171.933 * * [simplify]: Extracting #9: cost 0 inf + 65015 171.943 * * [simplify]: Extracting #10: cost 0 inf + 64208 171.954 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 171.954 * [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))))))) 171.954 * * * * [progress]: [ 106 / 315 ] simplifiying candidate # 171.954 * [simplify]: Simplifying (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 171.955 * * [simplify]: iters left: 6 (12 enodes) 171.958 * * [simplify]: iters left: 5 (51 enodes) 171.967 * * [simplify]: iters left: 4 (85 enodes) 171.983 * * [simplify]: iters left: 3 (128 enodes) 172.018 * * [simplify]: iters left: 2 (213 enodes) 172.079 * * [simplify]: iters left: 1 (401 enodes) 172.277 * * [simplify]: Extracting #0: cost 1 inf + 0 172.277 * * [simplify]: Extracting #1: cost 4 inf + 0 172.278 * * [simplify]: Extracting #2: cost 6 inf + 1 172.278 * * [simplify]: Extracting #3: cost 37 inf + 1 172.278 * * [simplify]: Extracting #4: cost 133 inf + 2 172.279 * * [simplify]: Extracting #5: cost 177 inf + 177 172.281 * * [simplify]: Extracting #6: cost 151 inf + 3331 172.287 * * [simplify]: Extracting #7: cost 79 inf + 15272 172.307 * * [simplify]: Extracting #8: cost 11 inf + 60633 172.318 * * [simplify]: Extracting #9: cost 0 inf + 69646 172.329 * [simplify]: Simplified to (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.329 * [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))))))) 172.329 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.329 * * [simplify]: iters left: 6 (13 enodes) 172.335 * * [simplify]: iters left: 5 (54 enodes) 172.353 * * [simplify]: iters left: 4 (88 enodes) 172.381 * * [simplify]: iters left: 3 (126 enodes) 172.408 * * [simplify]: iters left: 2 (206 enodes) 172.465 * * [simplify]: iters left: 1 (396 enodes) 172.626 * * [simplify]: Extracting #0: cost 1 inf + 0 172.626 * * [simplify]: Extracting #1: cost 4 inf + 0 172.626 * * [simplify]: Extracting #2: cost 9 inf + 0 172.626 * * [simplify]: Extracting #3: cost 38 inf + 1 172.627 * * [simplify]: Extracting #4: cost 128 inf + 43 172.628 * * [simplify]: Extracting #5: cost 156 inf + 592 172.632 * * [simplify]: Extracting #6: cost 105 inf + 7879 172.637 * * [simplify]: Extracting #7: cost 39 inf + 35445 172.648 * * [simplify]: Extracting #8: cost 0 inf + 67090 172.658 * * [simplify]: Extracting #9: cost 0 inf + 65054 172.674 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 172.675 * [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))))))) 172.675 * * * * [progress]: [ 107 / 315 ] simplifiying candidate # 172.675 * [simplify]: Simplifying (/ 1 1) 172.675 * * [simplify]: iters left: 2 (2 enodes) 172.677 * * [simplify]: iters left: 1 (6 enodes) 172.679 * * [simplify]: Extracting #0: cost 1 inf + 0 172.679 * * [simplify]: Extracting #1: cost 0 inf + 1 172.679 * [simplify]: Simplified to 1 172.679 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 172.680 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 172.680 * * [simplify]: iters left: 6 (12 enodes) 172.687 * * [simplify]: iters left: 5 (51 enodes) 172.709 * * [simplify]: iters left: 4 (86 enodes) 172.737 * * [simplify]: iters left: 3 (133 enodes) 172.781 * * [simplify]: iters left: 2 (224 enodes) 172.867 * * [simplify]: iters left: 1 (420 enodes) 173.057 * * [simplify]: Extracting #0: cost 1 inf + 0 173.058 * * [simplify]: Extracting #1: cost 6 inf + 0 173.058 * * [simplify]: Extracting #2: cost 43 inf + 0 173.059 * * [simplify]: Extracting #3: cost 141 inf + 43 173.060 * * [simplify]: Extracting #4: cost 183 inf + 344 173.063 * * [simplify]: Extracting #5: cost 150 inf + 4066 173.070 * * [simplify]: Extracting #6: cost 80 inf + 19545 173.086 * * [simplify]: Extracting #7: cost 20 inf + 61114 173.099 * * [simplify]: Extracting #8: cost 0 inf + 78849 173.112 * * [simplify]: Extracting #9: cost 0 inf + 77776 173.129 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 173.129 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 173.129 * * * * [progress]: [ 108 / 315 ] simplifiying candidate # 173.129 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 173.129 * * [simplify]: iters left: 6 (12 enodes) 173.137 * * [simplify]: iters left: 5 (54 enodes) 173.160 * * [simplify]: iters left: 4 (92 enodes) 173.181 * * [simplify]: iters left: 3 (154 enodes) 173.210 * * [simplify]: iters left: 2 (285 enodes) 173.291 * * [simplify]: Extracting #0: cost 1 inf + 0 173.292 * * [simplify]: Extracting #1: cost 6 inf + 0 173.292 * * [simplify]: Extracting #2: cost 25 inf + 1 173.292 * * [simplify]: Extracting #3: cost 91 inf + 2 173.293 * * [simplify]: Extracting #4: cost 121 inf + 220 173.294 * * [simplify]: Extracting #5: cost 119 inf + 724 173.297 * * [simplify]: Extracting #6: cost 64 inf + 8182 173.303 * * [simplify]: Extracting #7: cost 17 inf + 22057 173.308 * * [simplify]: Extracting #8: cost 1 inf + 32173 173.314 * * [simplify]: Extracting #9: cost 0 inf + 32618 173.319 * [simplify]: Simplified to (/ 1 (pow (* (* 2 n) PI) (* 1/4 (- 1 k)))) 173.319 * [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)))))) 173.319 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 173.319 * * [simplify]: iters left: 6 (13 enodes) 173.323 * * [simplify]: iters left: 5 (57 enodes) 173.333 * * [simplify]: iters left: 4 (95 enodes) 173.368 * * [simplify]: iters left: 3 (150 enodes) 173.418 * * [simplify]: iters left: 2 (262 enodes) 173.498 * * [simplify]: iters left: 1 (476 enodes) 173.746 * * [simplify]: Extracting #0: cost 1 inf + 0 173.746 * * [simplify]: Extracting #1: cost 6 inf + 0 173.746 * * [simplify]: Extracting #2: cost 41 inf + 0 173.747 * * [simplify]: Extracting #3: cost 143 inf + 84 173.747 * * [simplify]: Extracting #4: cost 203 inf + 471 173.750 * * [simplify]: Extracting #5: cost 147 inf + 8594 173.758 * * [simplify]: Extracting #6: cost 38 inf + 52505 173.771 * * [simplify]: Extracting #7: cost 3 inf + 78819 173.796 * * [simplify]: Extracting #8: cost 0 inf + 80962 173.821 * * [simplify]: Extracting #9: cost 0 inf + 79264 173.850 * * [simplify]: Extracting #10: cost 0 inf + 78209 173.867 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 173.867 * [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)))))) 173.867 * * * * [progress]: [ 109 / 315 ] simplifiying candidate # 173.867 * * * * [progress]: [ 110 / 315 ] simplifiying candidate # 173.867 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 173.867 * * [simplify]: iters left: 6 (11 enodes) 173.871 * * [simplify]: iters left: 5 (48 enodes) 173.879 * * [simplify]: iters left: 4 (79 enodes) 173.892 * * [simplify]: iters left: 3 (126 enodes) 173.926 * * [simplify]: iters left: 2 (233 enodes) 173.987 * * [simplify]: iters left: 1 (428 enodes) 174.174 * * [simplify]: Extracting #0: cost 1 inf + 0 174.175 * * [simplify]: Extracting #1: cost 6 inf + 0 174.175 * * [simplify]: Extracting #2: cost 41 inf + 1 174.176 * * [simplify]: Extracting #3: cost 138 inf + 2 174.177 * * [simplify]: Extracting #4: cost 203 inf + 220 174.180 * * [simplify]: Extracting #5: cost 189 inf + 1226 174.186 * * [simplify]: Extracting #6: cost 100 inf + 16760 174.206 * * [simplify]: Extracting #7: cost 18 inf + 62357 174.234 * * [simplify]: Extracting #8: cost 0 inf + 79858 174.249 * [simplify]: Simplified to (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) 174.249 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) 174.249 * * * * [progress]: [ 111 / 315 ] simplifiying candidate # 174.249 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 174.249 * * [simplify]: iters left: 6 (12 enodes) 174.253 * * [simplify]: iters left: 5 (51 enodes) 174.266 * * [simplify]: iters left: 4 (86 enodes) 174.285 * * [simplify]: iters left: 3 (135 enodes) 174.310 * * [simplify]: iters left: 2 (232 enodes) 174.403 * * [simplify]: iters left: 1 (483 enodes) 174.638 * * [simplify]: Extracting #0: cost 1 inf + 0 174.639 * * [simplify]: Extracting #1: cost 47 inf + 0 174.639 * * [simplify]: Extracting #2: cost 158 inf + 0 174.641 * * [simplify]: Extracting #3: cost 244 inf + 4 174.644 * * [simplify]: Extracting #4: cost 247 inf + 974 174.650 * * [simplify]: Extracting #5: cost 169 inf + 13711 174.676 * * [simplify]: Extracting #6: cost 80 inf + 69066 174.703 * * [simplify]: Extracting #7: cost 4 inf + 131511 174.727 * * [simplify]: Extracting #8: cost 0 inf + 133452 174.768 * * [simplify]: Extracting #9: cost 0 inf + 133200 174.792 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 174.792 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 174.792 * * * * [progress]: [ 112 / 315 ] simplifiying candidate # 174.792 * [simplify]: Simplifying (/ (sqrt k) (pow n (/ (- 1 k) 2))) 174.792 * * [simplify]: iters left: 6 (9 enodes) 174.797 * * [simplify]: iters left: 5 (38 enodes) 174.804 * * [simplify]: iters left: 4 (61 enodes) 174.826 * * [simplify]: iters left: 3 (103 enodes) 174.867 * * [simplify]: iters left: 2 (207 enodes) 174.941 * * [simplify]: iters left: 1 (398 enodes) 175.086 * * [simplify]: Extracting #0: cost 1 inf + 0 175.086 * * [simplify]: Extracting #1: cost 6 inf + 0 175.087 * * [simplify]: Extracting #2: cost 45 inf + 0 175.087 * * [simplify]: Extracting #3: cost 143 inf + 44 175.089 * * [simplify]: Extracting #4: cost 196 inf + 135 175.091 * * [simplify]: Extracting #5: cost 172 inf + 2708 175.097 * * [simplify]: Extracting #6: cost 97 inf + 14146 175.114 * * [simplify]: Extracting #7: cost 47 inf + 39630 175.136 * * [simplify]: Extracting #8: cost 0 inf + 80125 175.159 * * [simplify]: Extracting #9: cost 0 inf + 77957 175.183 * * [simplify]: Extracting #10: cost 0 inf + 75741 175.197 * * [simplify]: Extracting #11: cost 0 inf + 74994 175.210 * * [simplify]: Extracting #12: cost 0 inf + 74903 175.234 * [simplify]: Simplified to (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 175.234 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ (- 1 k) 2))))) 175.235 * * * * [progress]: [ 113 / 315 ] simplifiying candidate # 175.235 * [simplify]: Simplifying (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.235 * * [simplify]: iters left: 6 (14 enodes) 175.243 * * [simplify]: iters left: 5 (59 enodes) 175.265 * * [simplify]: iters left: 4 (94 enodes) 175.284 * * [simplify]: iters left: 3 (133 enodes) 175.312 * * [simplify]: iters left: 2 (213 enodes) 175.367 * * [simplify]: iters left: 1 (396 enodes) 175.537 * * [simplify]: Extracting #0: cost 1 inf + 0 175.538 * * [simplify]: Extracting #1: cost 6 inf + 0 175.538 * * [simplify]: Extracting #2: cost 12 inf + 0 175.538 * * [simplify]: Extracting #3: cost 38 inf + 1 175.542 * * [simplify]: Extracting #4: cost 118 inf + 43 175.544 * * [simplify]: Extracting #5: cost 160 inf + 385 175.547 * * [simplify]: Extracting #6: cost 114 inf + 6922 175.556 * * [simplify]: Extracting #7: cost 40 inf + 32917 175.567 * * [simplify]: Extracting #8: cost 0 inf + 68136 175.577 * * [simplify]: Extracting #9: cost 0 inf + 67665 175.594 * * [simplify]: Extracting #10: cost 0 inf + 67626 175.614 * [simplify]: Simplified to (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.615 * [simplify]: Simplified (2 2 1) 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 (* n (* 2 PI)) (/ (- 1 k) 2)))))) 175.615 * * * * [progress]: [ 114 / 315 ] simplifiying candidate # 175.615 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.615 * * [simplify]: iters left: 6 (13 enodes) 175.623 * * [simplify]: iters left: 5 (54 enodes) 175.641 * * [simplify]: iters left: 4 (88 enodes) 175.668 * * [simplify]: iters left: 3 (126 enodes) 175.712 * * [simplify]: iters left: 2 (206 enodes) 175.759 * * [simplify]: iters left: 1 (396 enodes) 175.878 * * [simplify]: Extracting #0: cost 1 inf + 0 175.878 * * [simplify]: Extracting #1: cost 4 inf + 0 175.878 * * [simplify]: Extracting #2: cost 9 inf + 0 175.878 * * [simplify]: Extracting #3: cost 38 inf + 1 175.879 * * [simplify]: Extracting #4: cost 128 inf + 43 175.879 * * [simplify]: Extracting #5: cost 156 inf + 592 175.882 * * [simplify]: Extracting #6: cost 105 inf + 7879 175.888 * * [simplify]: Extracting #7: cost 39 inf + 35445 175.898 * * [simplify]: Extracting #8: cost 0 inf + 67090 175.911 * * [simplify]: Extracting #9: cost 0 inf + 65054 175.922 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 175.922 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 175.922 * * * * [progress]: [ 115 / 315 ] simplifiying candidate # 175.922 * [simplify]: Simplifying (/ (sqrt k) 1) 175.922 * * [simplify]: iters left: 3 (4 enodes) 175.924 * * [simplify]: iters left: 2 (12 enodes) 175.926 * * [simplify]: iters left: 1 (14 enodes) 175.928 * * [simplify]: Extracting #0: cost 1 inf + 0 175.928 * * [simplify]: Extracting #1: cost 4 inf + 0 175.928 * * [simplify]: Extracting #2: cost 0 inf + 84 175.928 * [simplify]: Simplified to (sqrt k) 175.928 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 175.928 * * * * [progress]: [ 116 / 315 ] simplifiying candidate # 175.929 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 175.929 * * [simplify]: iters left: 6 (13 enodes) 175.933 * * [simplify]: iters left: 5 (57 enodes) 175.943 * * [simplify]: iters left: 4 (95 enodes) 175.964 * * [simplify]: iters left: 3 (150 enodes) 176.015 * * [simplify]: iters left: 2 (262 enodes) 176.085 * * [simplify]: iters left: 1 (476 enodes) 176.336 * * [simplify]: Extracting #0: cost 1 inf + 0 176.336 * * [simplify]: Extracting #1: cost 6 inf + 0 176.336 * * [simplify]: Extracting #2: cost 41 inf + 0 176.337 * * [simplify]: Extracting #3: cost 143 inf + 84 176.338 * * [simplify]: Extracting #4: cost 203 inf + 471 176.343 * * [simplify]: Extracting #5: cost 147 inf + 8594 176.359 * * [simplify]: Extracting #6: cost 38 inf + 52505 176.384 * * [simplify]: Extracting #7: cost 3 inf + 78819 176.398 * * [simplify]: Extracting #8: cost 0 inf + 80962 176.418 * * [simplify]: Extracting #9: cost 0 inf + 79264 176.431 * * [simplify]: Extracting #10: cost 0 inf + 78209 176.443 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) 176.443 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 4))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 176.444 * * * * [progress]: [ 117 / 315 ] simplifiying candidate # 176.444 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 176.444 * * [simplify]: iters left: 6 (13 enodes) 176.448 * * [simplify]: iters left: 5 (54 enodes) 176.466 * * [simplify]: iters left: 4 (89 enodes) 176.497 * * [simplify]: iters left: 3 (138 enodes) 176.529 * * [simplify]: iters left: 2 (235 enodes) 176.593 * * [simplify]: iters left: 1 (482 enodes) 176.827 * * [simplify]: Extracting #0: cost 1 inf + 0 176.828 * * [simplify]: Extracting #1: cost 47 inf + 0 176.829 * * [simplify]: Extracting #2: cost 151 inf + 0 176.830 * * [simplify]: Extracting #3: cost 236 inf + 3 176.833 * * [simplify]: Extracting #4: cost 230 inf + 2577 176.843 * * [simplify]: Extracting #5: cost 127 inf + 37718 176.875 * * [simplify]: Extracting #6: cost 20 inf + 119537 176.909 * * [simplify]: Extracting #7: cost 0 inf + 135097 176.932 * * [simplify]: Extracting #8: cost 0 inf + 133941 176.973 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 176.973 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 176.973 * * * * [progress]: [ 118 / 315 ] simplifiying candidate # 176.974 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 176.974 * * [simplify]: iters left: 6 (13 enodes) 176.982 * * [simplify]: iters left: 5 (54 enodes) 177.000 * * [simplify]: iters left: 4 (89 enodes) 177.014 * * [simplify]: iters left: 3 (138 enodes) 177.050 * * [simplify]: iters left: 2 (235 enodes) 177.110 * * [simplify]: iters left: 1 (482 enodes) 177.373 * * [simplify]: Extracting #0: cost 1 inf + 0 177.373 * * [simplify]: Extracting #1: cost 47 inf + 0 177.373 * * [simplify]: Extracting #2: cost 151 inf + 0 177.374 * * [simplify]: Extracting #3: cost 236 inf + 3 177.375 * * [simplify]: Extracting #4: cost 230 inf + 2617 177.381 * * [simplify]: Extracting #5: cost 127 inf + 37798 177.407 * * [simplify]: Extracting #6: cost 20 inf + 119617 177.447 * * [simplify]: Extracting #7: cost 0 inf + 135177 177.475 * * [simplify]: Extracting #8: cost 0 inf + 134021 177.496 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k))) 177.496 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))) 177.496 * * * * [progress]: [ 119 / 315 ] simplifiying candidate # 177.496 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 177.496 * * [simplify]: iters left: 6 (13 enodes) 177.501 * * [simplify]: iters left: 5 (54 enodes) 177.519 * * [simplify]: iters left: 4 (89 enodes) 177.538 * * [simplify]: iters left: 3 (138 enodes) 177.564 * * [simplify]: iters left: 2 (235 enodes) 177.621 * * [simplify]: iters left: 1 (482 enodes) 177.888 * * [simplify]: Extracting #0: cost 1 inf + 0 177.889 * * [simplify]: Extracting #1: cost 47 inf + 0 177.890 * * [simplify]: Extracting #2: cost 151 inf + 0 177.891 * * [simplify]: Extracting #3: cost 236 inf + 3 177.893 * * [simplify]: Extracting #4: cost 230 inf + 2457 177.904 * * [simplify]: Extracting #5: cost 127 inf + 36718 177.930 * * [simplify]: Extracting #6: cost 20 inf + 116537 177.950 * * [simplify]: Extracting #7: cost 0 inf + 131777 177.993 * * [simplify]: Extracting #8: cost 0 inf + 130621 178.033 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 178.033 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 178.033 * * * * [progress]: [ 120 / 315 ] simplifiying candidate # 178.034 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 178.034 * * [simplify]: iters left: 6 (12 enodes) 178.041 * * [simplify]: iters left: 5 (51 enodes) 178.051 * * [simplify]: iters left: 4 (86 enodes) 178.065 * * [simplify]: iters left: 3 (135 enodes) 178.103 * * [simplify]: iters left: 2 (232 enodes) 178.178 * * [simplify]: iters left: 1 (483 enodes) 178.448 * * [simplify]: Extracting #0: cost 1 inf + 0 178.448 * * [simplify]: Extracting #1: cost 47 inf + 0 178.448 * * [simplify]: Extracting #2: cost 158 inf + 0 178.449 * * [simplify]: Extracting #3: cost 244 inf + 4 178.450 * * [simplify]: Extracting #4: cost 247 inf + 974 178.454 * * [simplify]: Extracting #5: cost 169 inf + 13711 178.472 * * [simplify]: Extracting #6: cost 80 inf + 69066 178.492 * * [simplify]: Extracting #7: cost 4 inf + 131511 178.524 * * [simplify]: Extracting #8: cost 0 inf + 133452 178.561 * * [simplify]: Extracting #9: cost 0 inf + 133200 178.582 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 178.582 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 178.582 * * * * [progress]: [ 121 / 315 ] simplifiying candidate # 178.582 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 178.582 * * [simplify]: iters left: 6 (13 enodes) 178.586 * * [simplify]: iters left: 5 (54 enodes) 178.597 * * [simplify]: iters left: 4 (89 enodes) 178.612 * * [simplify]: iters left: 3 (138 enodes) 178.658 * * [simplify]: iters left: 2 (235 enodes) 178.733 * * [simplify]: iters left: 1 (482 enodes) 178.986 * * [simplify]: Extracting #0: cost 1 inf + 0 178.986 * * [simplify]: Extracting #1: cost 47 inf + 0 178.986 * * [simplify]: Extracting #2: cost 151 inf + 0 178.987 * * [simplify]: Extracting #3: cost 236 inf + 3 178.988 * * [simplify]: Extracting #4: cost 230 inf + 2457 178.994 * * [simplify]: Extracting #5: cost 127 inf + 36718 179.010 * * [simplify]: Extracting #6: cost 20 inf + 116537 179.036 * * [simplify]: Extracting #7: cost 0 inf + 131777 179.061 * * [simplify]: Extracting #8: cost 0 inf + 130621 179.104 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 179.104 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 179.104 * * * * [progress]: [ 122 / 315 ] simplifiying candidate # 179.105 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 179.105 * * [simplify]: iters left: 6 (12 enodes) 179.112 * * [simplify]: iters left: 5 (51 enodes) 179.124 * * [simplify]: iters left: 4 (86 enodes) 179.138 * * [simplify]: iters left: 3 (135 enodes) 179.168 * * [simplify]: iters left: 2 (232 enodes) 179.232 * * [simplify]: iters left: 1 (483 enodes) 179.472 * * [simplify]: Extracting #0: cost 1 inf + 0 179.473 * * [simplify]: Extracting #1: cost 47 inf + 0 179.473 * * [simplify]: Extracting #2: cost 158 inf + 0 179.474 * * [simplify]: Extracting #3: cost 244 inf + 4 179.475 * * [simplify]: Extracting #4: cost 247 inf + 974 179.482 * * [simplify]: Extracting #5: cost 169 inf + 13711 179.503 * * [simplify]: Extracting #6: cost 80 inf + 69066 179.541 * * [simplify]: Extracting #7: cost 4 inf + 131511 179.565 * * [simplify]: Extracting #8: cost 0 inf + 133452 179.596 * * [simplify]: Extracting #9: cost 0 inf + 133200 179.621 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 179.621 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))) 179.621 * * * * [progress]: [ 123 / 315 ] simplifiying candidate # 179.622 * [simplify]: Simplifying (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2))) 179.622 * * [simplify]: iters left: 6 (11 enodes) 179.625 * * [simplify]: iters left: 5 (44 enodes) 179.636 * * [simplify]: iters left: 4 (74 enodes) 179.662 * * [simplify]: iters left: 3 (123 enodes) 179.695 * * [simplify]: iters left: 2 (178 enodes) 179.741 * * [simplify]: iters left: 1 (310 enodes) 179.858 * * [simplify]: Extracting #0: cost 1 inf + 0 179.858 * * [simplify]: Extracting #1: cost 6 inf + 0 179.858 * * [simplify]: Extracting #2: cost 48 inf + 0 179.859 * * [simplify]: Extracting #3: cost 109 inf + 45 179.860 * * [simplify]: Extracting #4: cost 108 inf + 1436 179.864 * * [simplify]: Extracting #5: cost 69 inf + 18164 179.876 * * [simplify]: Extracting #6: cost 6 inf + 60118 179.883 * * [simplify]: Extracting #7: cost 0 inf + 64232 179.890 * [simplify]: Simplified to (/ (sqrt k) (sqrt (* n (* 2 PI)))) 179.890 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n (* 2 PI)))) (pow (* n (* 2 PI)) (/ k 2))))) 179.890 * * * * [progress]: [ 124 / 315 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 179.890 * [simplify]: Simplifying (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 179.891 * * [simplify]: iters left: 6 (13 enodes) 179.894 * * [simplify]: iters left: 5 (51 enodes) 179.906 * * [simplify]: iters left: 4 (86 enodes) 179.920 * * [simplify]: iters left: 3 (129 enodes) 179.955 * * [simplify]: iters left: 2 (215 enodes) 180.009 * * [simplify]: iters left: 1 (412 enodes) 180.181 * * [simplify]: Extracting #0: cost 1 inf + 0 180.182 * * [simplify]: Extracting #1: cost 2 inf + 0 180.182 * * [simplify]: Extracting #2: cost 6 inf + 0 180.182 * * [simplify]: Extracting #3: cost 38 inf + 0 180.182 * * [simplify]: Extracting #4: cost 136 inf + 84 180.183 * * [simplify]: Extracting #5: cost 184 inf + 469 180.185 * * [simplify]: Extracting #6: cost 124 inf + 9206 180.191 * * [simplify]: Extracting #7: cost 39 inf + 44040 180.202 * * [simplify]: Extracting #8: cost 1 inf + 75729 180.215 * * [simplify]: Extracting #9: cost 0 inf + 76396 180.226 * [simplify]: Simplified to (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 180.226 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 180.227 * * * * [progress]: [ 125 / 315 ] simplifiying candidate # 180.227 * [simplify]: Simplifying (expm1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.227 * * [simplify]: iters left: 6 (14 enodes) 180.231 * * [simplify]: iters left: 5 (59 enodes) 180.241 * * [simplify]: iters left: 4 (101 enodes) 180.276 * * [simplify]: iters left: 3 (158 enodes) 180.336 * * [simplify]: iters left: 2 (310 enodes) 180.462 * * [simplify]: Extracting #0: cost 1 inf + 0 180.462 * * [simplify]: Extracting #1: cost 3 inf + 0 180.462 * * [simplify]: Extracting #2: cost 51 inf + 0 180.463 * * [simplify]: Extracting #3: cost 135 inf + 1 180.464 * * [simplify]: Extracting #4: cost 180 inf + 127 180.466 * * [simplify]: Extracting #5: cost 171 inf + 1420 180.471 * * [simplify]: Extracting #6: cost 121 inf + 14613 180.487 * * [simplify]: Extracting #7: cost 26 inf + 74676 180.808 * * [simplify]: Extracting #8: cost 0 inf + 88009 180.835 * * [simplify]: Extracting #9: cost 0 inf + 87227 180.862 * [simplify]: Simplified to (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 180.862 * [simplify]: Simplified (2 1) to (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 180.862 * * * * [progress]: [ 126 / 315 ] simplifiying candidate # 180.862 * [simplify]: Simplifying (log1p (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 180.863 * * [simplify]: iters left: 6 (14 enodes) 180.871 * * [simplify]: iters left: 5 (59 enodes) 180.890 * * [simplify]: iters left: 4 (101 enodes) 180.922 * * [simplify]: iters left: 3 (158 enodes) 180.966 * * [simplify]: iters left: 2 (310 enodes) 181.083 * * [simplify]: Extracting #0: cost 1 inf + 0 181.083 * * [simplify]: Extracting #1: cost 3 inf + 0 181.083 * * [simplify]: Extracting #2: cost 51 inf + 0 181.084 * * [simplify]: Extracting #3: cost 135 inf + 1 181.085 * * [simplify]: Extracting #4: cost 180 inf + 127 181.087 * * [simplify]: Extracting #5: cost 171 inf + 1420 181.092 * * [simplify]: Extracting #6: cost 121 inf + 14653 181.112 * * [simplify]: Extracting #7: cost 26 inf + 74716 181.127 * * [simplify]: Extracting #8: cost 0 inf + 88049 181.141 * * [simplify]: Extracting #9: cost 0 inf + 87267 181.170 * [simplify]: Simplified to (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 181.170 * [simplify]: Simplified (2 1) to (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 181.170 * * * * [progress]: [ 127 / 315 ] simplifiying candidate # 181.170 * * * * [progress]: [ 128 / 315 ] simplifiying candidate # 181.171 * [simplify]: Simplifying (- 1) 181.171 * * [simplify]: iters left: 2 (2 enodes) 181.173 * * [simplify]: iters left: 1 (9 enodes) 181.177 * * [simplify]: Extracting #0: cost 1 inf + 0 181.177 * * [simplify]: Extracting #1: cost 0 inf + 1 181.177 * [simplify]: Simplified to -1 181.177 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) -1)) 181.177 * * * * [progress]: [ 129 / 315 ] simplifiying candidate # 181.177 * * * * [progress]: [ 130 / 315 ] simplifiying candidate # 181.177 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 181.178 * * [simplify]: iters left: 6 (17 enodes) 181.186 * * [simplify]: iters left: 5 (68 enodes) 181.200 * * [simplify]: iters left: 4 (125 enodes) 181.235 * * [simplify]: iters left: 3 (390 enodes) 181.409 * * [simplify]: Extracting #0: cost 1 inf + 0 181.409 * * [simplify]: Extracting #1: cost 28 inf + 0 181.410 * * [simplify]: Extracting #2: cost 169 inf + 0 181.411 * * [simplify]: Extracting #3: cost 283 inf + 73 181.413 * * [simplify]: Extracting #4: cost 270 inf + 8925 181.432 * * [simplify]: Extracting #5: cost 84 inf + 56353 181.464 * * [simplify]: Extracting #6: cost 1 inf + 84712 181.491 * * [simplify]: Extracting #7: cost 0 inf + 85015 181.507 * [simplify]: Simplified to (- (- (log (sqrt k)) (/ (+ (log n) (+ (log PI) (log 2))) (/ 2 (- 1 k))))) 181.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (/ (+ (log n) (+ (log PI) (log 2))) (/ 2 (- 1 k))))))) 181.507 * * * * [progress]: [ 131 / 315 ] simplifiying candidate # 181.508 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 181.508 * * [simplify]: iters left: 6 (16 enodes) 181.514 * * [simplify]: iters left: 5 (66 enodes) 181.536 * * [simplify]: iters left: 4 (118 enodes) 181.585 * * [simplify]: iters left: 3 (318 enodes) 181.772 * * [simplify]: Extracting #0: cost 1 inf + 0 181.772 * * [simplify]: Extracting #1: cost 22 inf + 0 181.773 * * [simplify]: Extracting #2: cost 144 inf + 0 181.775 * * [simplify]: Extracting #3: cost 261 inf + 2 181.778 * * [simplify]: Extracting #4: cost 256 inf + 6569 181.794 * * [simplify]: Extracting #5: cost 67 inf + 50912 181.815 * * [simplify]: Extracting #6: cost 0 inf + 71017 181.829 * * [simplify]: Extracting #7: cost 0 inf + 70977 181.855 * [simplify]: Simplified to (+ (* (/ (+ (log (* 2 PI)) (log n)) 2) (- 1 k)) (- (log (sqrt k)))) 181.855 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (+ (log (* 2 PI)) (log n)) 2) (- 1 k)) (- (log (sqrt k)))))) 181.856 * * * * [progress]: [ 132 / 315 ] simplifiying candidate # 181.856 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 181.856 * * [simplify]: iters left: 6 (15 enodes) 181.862 * * [simplify]: iters left: 5 (65 enodes) 181.873 * * [simplify]: iters left: 4 (125 enodes) 181.906 * * [simplify]: iters left: 3 (298 enodes) 182.070 * * [simplify]: Extracting #0: cost 1 inf + 0 182.070 * * [simplify]: Extracting #1: cost 16 inf + 0 182.071 * * [simplify]: Extracting #2: cost 117 inf + 0 182.072 * * [simplify]: Extracting #3: cost 231 inf + 2 182.077 * * [simplify]: Extracting #4: cost 199 inf + 12515 182.095 * * [simplify]: Extracting #5: cost 37 inf + 47276 182.117 * * [simplify]: Extracting #6: cost 0 inf + 54771 182.140 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))) 182.141 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 182.141 * * * * [progress]: [ 133 / 315 ] simplifiying candidate # 182.141 * [simplify]: Simplifying (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 182.141 * * [simplify]: iters left: 6 (15 enodes) 182.150 * * [simplify]: iters left: 5 (65 enodes) 182.177 * * [simplify]: iters left: 4 (125 enodes) 182.223 * * [simplify]: iters left: 3 (298 enodes) 182.352 * * [simplify]: Extracting #0: cost 1 inf + 0 182.352 * * [simplify]: Extracting #1: cost 16 inf + 0 182.352 * * [simplify]: Extracting #2: cost 117 inf + 0 182.353 * * [simplify]: Extracting #3: cost 231 inf + 2 182.355 * * [simplify]: Extracting #4: cost 199 inf + 12515 182.364 * * [simplify]: Extracting #5: cost 37 inf + 47276 182.379 * * [simplify]: Extracting #6: cost 0 inf + 54771 182.390 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))) 182.390 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 182.391 * * * * [progress]: [ 134 / 315 ] simplifiying candidate # 182.391 * [simplify]: Simplifying (- (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 182.391 * * [simplify]: iters left: 6 (15 enodes) 182.396 * * [simplify]: iters left: 5 (64 enodes) 182.415 * * [simplify]: iters left: 4 (117 enodes) 182.436 * * [simplify]: iters left: 3 (268 enodes) 182.544 * * [simplify]: Extracting #0: cost 1 inf + 0 182.544 * * [simplify]: Extracting #1: cost 22 inf + 0 182.544 * * [simplify]: Extracting #2: cost 164 inf + 0 182.545 * * [simplify]: Extracting #3: cost 275 inf + 2 182.547 * * [simplify]: Extracting #4: cost 265 inf + 7204 182.553 * * [simplify]: Extracting #5: cost 97 inf + 42441 182.568 * * [simplify]: Extracting #6: cost 3 inf + 67468 182.581 * * [simplify]: Extracting #7: cost 0 inf + 68241 182.594 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))) 182.594 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* n (* 2 PI)))))))) 182.594 * * * * [progress]: [ 135 / 315 ] simplifiying candidate # 182.594 * [simplify]: Simplifying (- (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 182.594 * * [simplify]: iters left: 6 (14 enodes) 182.598 * * [simplify]: iters left: 5 (60 enodes) 182.611 * * [simplify]: iters left: 4 (105 enodes) 182.645 * * [simplify]: iters left: 3 (191 enodes) 182.723 * * [simplify]: Extracting #0: cost 1 inf + 0 182.723 * * [simplify]: Extracting #1: cost 6 inf + 0 182.723 * * [simplify]: Extracting #2: cost 82 inf + 0 182.724 * * [simplify]: Extracting #3: cost 165 inf + 1 182.725 * * [simplify]: Extracting #4: cost 191 inf + 810 182.729 * * [simplify]: Extracting #5: cost 120 inf + 14713 182.740 * * [simplify]: Extracting #6: cost 28 inf + 37169 182.755 * * [simplify]: Extracting #7: cost 0 inf + 47880 182.768 * * [simplify]: Extracting #8: cost 0 inf + 47865 182.776 * [simplify]: Simplified to (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) 182.776 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (/ (- 1 k) 2))))) 182.777 * * * * [progress]: [ 136 / 315 ] simplifiying candidate # 182.777 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 182.777 * * [simplify]: iters left: 6 (18 enodes) 182.782 * * [simplify]: iters left: 5 (74 enodes) 182.798 * * [simplify]: iters left: 4 (139 enodes) 182.840 * * [simplify]: iters left: 3 (436 enodes) 183.071 * * [simplify]: Extracting #0: cost 1 inf + 0 183.071 * * [simplify]: Extracting #1: cost 65 inf + 0 183.072 * * [simplify]: Extracting #2: cost 258 inf + 1 183.074 * * [simplify]: Extracting #3: cost 318 inf + 3050 183.080 * * [simplify]: Extracting #4: cost 199 inf + 44368 183.110 * * [simplify]: Extracting #5: cost 26 inf + 97495 183.137 * * [simplify]: Extracting #6: cost 0 inf + 107870 183.167 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 183.167 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 183.167 * * * * [progress]: [ 137 / 315 ] simplifiying candidate # 183.168 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 183.168 * * [simplify]: iters left: 6 (17 enodes) 183.175 * * [simplify]: iters left: 5 (72 enodes) 183.200 * * [simplify]: iters left: 4 (132 enodes) 183.236 * * [simplify]: iters left: 3 (363 enodes) 183.433 * * [simplify]: Extracting #0: cost 1 inf + 0 183.433 * * [simplify]: Extracting #1: cost 54 inf + 0 183.434 * * [simplify]: Extracting #2: cost 231 inf + 1 183.435 * * [simplify]: Extracting #3: cost 293 inf + 1662 183.442 * * [simplify]: Extracting #4: cost 199 inf + 30046 183.456 * * [simplify]: Extracting #5: cost 27 inf + 78896 183.478 * * [simplify]: Extracting #6: cost 2 inf + 86179 183.517 * * [simplify]: Extracting #7: cost 0 inf + 86696 183.536 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) (log (sqrt k))) 183.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (log (* PI 2)))) 2) (log (sqrt k))))) 183.537 * * * * [progress]: [ 138 / 315 ] simplifiying candidate # 183.537 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 183.537 * * [simplify]: iters left: 6 (16 enodes) 183.542 * * [simplify]: iters left: 5 (71 enodes) 183.554 * * [simplify]: iters left: 4 (139 enodes) 183.580 * * [simplify]: iters left: 3 (334 enodes) 183.751 * * [simplify]: Extracting #0: cost 1 inf + 0 183.751 * * [simplify]: Extracting #1: cost 39 inf + 0 183.752 * * [simplify]: Extracting #2: cost 191 inf + 1 183.754 * * [simplify]: Extracting #3: cost 239 inf + 2407 183.760 * * [simplify]: Extracting #4: cost 186 inf + 16151 183.779 * * [simplify]: Extracting #5: cost 35 inf + 54345 183.810 * * [simplify]: Extracting #6: cost 0 inf + 63789 183.837 * * [simplify]: Extracting #7: cost 0 inf + 63461 183.864 * * [simplify]: Extracting #8: cost 0 inf + 63458 183.891 * [simplify]: Simplified to (- (* (/ (log (* PI (* n 2))) 2) (- 1 k)) (log (sqrt k))) 183.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (log (* PI (* n 2))) 2) (- 1 k)) (log (sqrt k))))) 183.891 * * * * [progress]: [ 139 / 315 ] simplifiying candidate # 183.892 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 183.892 * * [simplify]: iters left: 6 (16 enodes) 183.901 * * [simplify]: iters left: 5 (71 enodes) 183.926 * * [simplify]: iters left: 4 (139 enodes) 183.982 * * [simplify]: iters left: 3 (334 enodes) 184.196 * * [simplify]: Extracting #0: cost 1 inf + 0 184.196 * * [simplify]: Extracting #1: cost 39 inf + 0 184.197 * * [simplify]: Extracting #2: cost 191 inf + 1 184.198 * * [simplify]: Extracting #3: cost 239 inf + 2407 184.201 * * [simplify]: Extracting #4: cost 186 inf + 16151 184.210 * * [simplify]: Extracting #5: cost 35 inf + 54345 184.224 * * [simplify]: Extracting #6: cost 0 inf + 63789 184.249 * * [simplify]: Extracting #7: cost 0 inf + 63461 184.276 * * [simplify]: Extracting #8: cost 0 inf + 63458 184.302 * [simplify]: Simplified to (- (* (/ (log (* PI (* n 2))) 2) (- 1 k)) (log (sqrt k))) 184.302 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (log (* PI (* n 2))) 2) (- 1 k)) (log (sqrt k))))) 184.302 * * * * [progress]: [ 140 / 315 ] simplifiying candidate # 184.303 * [simplify]: Simplifying (- 0 (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 184.303 * * [simplify]: iters left: 6 (16 enodes) 184.308 * * [simplify]: iters left: 5 (70 enodes) 184.321 * * [simplify]: iters left: 4 (131 enodes) 184.352 * * [simplify]: iters left: 3 (299 enodes) 184.460 * * [simplify]: Extracting #0: cost 1 inf + 0 184.461 * * [simplify]: Extracting #1: cost 46 inf + 0 184.462 * * [simplify]: Extracting #2: cost 240 inf + 1 184.464 * * [simplify]: Extracting #3: cost 335 inf + 6 184.468 * * [simplify]: Extracting #4: cost 275 inf + 9916 184.482 * * [simplify]: Extracting #5: cost 58 inf + 61310 184.496 * * [simplify]: Extracting #6: cost 0 inf + 80327 184.512 * * [simplify]: Extracting #7: cost 0 inf + 79982 184.540 * [simplify]: Simplified to (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))) 184.540 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* 2 PI) n)) (- 1 k)) 2) (log (sqrt k))))) 184.540 * * * * [progress]: [ 141 / 315 ] simplifiying candidate # 184.541 * [simplify]: Simplifying (- 0 (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 184.541 * * [simplify]: iters left: 6 (15 enodes) 184.545 * * [simplify]: iters left: 5 (64 enodes) 184.559 * * [simplify]: iters left: 4 (109 enodes) 184.590 * * [simplify]: iters left: 3 (205 enodes) 184.650 * * [simplify]: Extracting #0: cost 1 inf + 0 184.651 * * [simplify]: Extracting #1: cost 13 inf + 0 184.651 * * [simplify]: Extracting #2: cost 110 inf + 1 184.656 * * [simplify]: Extracting #3: cost 184 inf + 3 184.657 * * [simplify]: Extracting #4: cost 204 inf + 523 184.661 * * [simplify]: Extracting #5: cost 135 inf + 12649 184.674 * * [simplify]: Extracting #6: cost 19 inf + 42490 184.691 * * [simplify]: Extracting #7: cost 0 inf + 51113 184.708 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))) 184.708 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))) 184.708 * * * * [progress]: [ 142 / 315 ] simplifiying candidate # 184.708 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)))) 184.708 * * [simplify]: iters left: 6 (18 enodes) 184.719 * * [simplify]: iters left: 5 (75 enodes) 184.743 * * [simplify]: iters left: 4 (135 enodes) 184.809 * * [simplify]: iters left: 3 (433 enodes) 185.011 * * [simplify]: Extracting #0: cost 1 inf + 0 185.011 * * [simplify]: Extracting #1: cost 57 inf + 0 185.013 * * [simplify]: Extracting #2: cost 236 inf + 1 185.015 * * [simplify]: Extracting #3: cost 302 inf + 1569 185.022 * * [simplify]: Extracting #4: cost 240 inf + 20960 185.039 * * [simplify]: Extracting #5: cost 134 inf + 50420 185.057 * * [simplify]: Extracting #6: cost 11 inf + 93542 185.086 * * [simplify]: Extracting #7: cost 0 inf + 97593 185.126 * [simplify]: Simplified to (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))) 185.126 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log 2) (log n)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k))))) 185.126 * * * * [progress]: [ 143 / 315 ] simplifiying candidate # 185.126 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)))) 185.127 * * [simplify]: iters left: 6 (17 enodes) 185.137 * * [simplify]: iters left: 5 (73 enodes) 185.152 * * [simplify]: iters left: 4 (128 enodes) 185.182 * * [simplify]: iters left: 3 (358 enodes) 185.342 * * [simplify]: Extracting #0: cost 1 inf + 0 185.342 * * [simplify]: Extracting #1: cost 47 inf + 0 185.343 * * [simplify]: Extracting #2: cost 216 inf + 1 185.344 * * [simplify]: Extracting #3: cost 281 inf + 1477 185.347 * * [simplify]: Extracting #4: cost 212 inf + 22110 185.357 * * [simplify]: Extracting #5: cost 97 inf + 56034 185.373 * * [simplify]: Extracting #6: cost 7 inf + 83734 185.392 * * [simplify]: Extracting #7: cost 0 inf + 81800 185.409 * * [simplify]: Extracting #8: cost 0 inf + 81082 185.425 * [simplify]: Simplified to (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 185.425 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 185.426 * * * * [progress]: [ 144 / 315 ] simplifiying candidate # 185.426 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 185.426 * * [simplify]: iters left: 6 (16 enodes) 185.432 * * [simplify]: iters left: 5 (72 enodes) 185.452 * * [simplify]: iters left: 4 (135 enodes) 185.497 * * [simplify]: iters left: 3 (329 enodes) 185.666 * * [simplify]: Extracting #0: cost 1 inf + 0 185.666 * * [simplify]: Extracting #1: cost 36 inf + 0 185.668 * * [simplify]: Extracting #2: cost 186 inf + 1 185.670 * * [simplify]: Extracting #3: cost 238 inf + 2116 185.676 * * [simplify]: Extracting #4: cost 174 inf + 19264 185.696 * * [simplify]: Extracting #5: cost 23 inf + 55285 185.712 * * [simplify]: Extracting #6: cost 0 inf + 62306 185.732 * [simplify]: Simplified to (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k))) 185.732 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k))))) 185.732 * * * * [progress]: [ 145 / 315 ] simplifiying candidate # 185.733 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (/ (- 1 k) 2)))) 185.733 * * [simplify]: iters left: 6 (16 enodes) 185.743 * * [simplify]: iters left: 5 (72 enodes) 185.767 * * [simplify]: iters left: 4 (135 enodes) 185.820 * * [simplify]: iters left: 3 (329 enodes) 185.988 * * [simplify]: Extracting #0: cost 1 inf + 0 185.988 * * [simplify]: Extracting #1: cost 36 inf + 0 185.989 * * [simplify]: Extracting #2: cost 186 inf + 1 185.991 * * [simplify]: Extracting #3: cost 238 inf + 2116 185.998 * * [simplify]: Extracting #4: cost 174 inf + 19264 186.011 * * [simplify]: Extracting #5: cost 23 inf + 55285 186.024 * * [simplify]: Extracting #6: cost 0 inf + 62306 186.044 * [simplify]: Simplified to (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k))) 186.044 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k))))) 186.044 * * * * [progress]: [ 146 / 315 ] simplifiying candidate # 186.044 * [simplify]: Simplifying (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 186.044 * * [simplify]: iters left: 6 (16 enodes) 186.050 * * [simplify]: iters left: 5 (71 enodes) 186.062 * * [simplify]: iters left: 4 (127 enodes) 186.097 * * [simplify]: iters left: 3 (295 enodes) 186.226 * * [simplify]: Extracting #0: cost 1 inf + 0 186.226 * * [simplify]: Extracting #1: cost 40 inf + 0 186.227 * * [simplify]: Extracting #2: cost 230 inf + 1 186.229 * * [simplify]: Extracting #3: cost 324 inf + 77 186.234 * * [simplify]: Extracting #4: cost 273 inf + 8234 186.251 * * [simplify]: Extracting #5: cost 84 inf + 52486 186.278 * * [simplify]: Extracting #6: cost 5 inf + 74886 186.306 * * [simplify]: Extracting #7: cost 0 inf + 76578 186.334 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 186.334 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 186.334 * * * * [progress]: [ 147 / 315 ] simplifiying candidate # 186.334 * [simplify]: Simplifying (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 186.335 * * [simplify]: iters left: 6 (15 enodes) 186.343 * * [simplify]: iters left: 5 (65 enodes) 186.367 * * [simplify]: iters left: 4 (104 enodes) 186.401 * * [simplify]: iters left: 3 (195 enodes) 186.450 * * [simplify]: Extracting #0: cost 1 inf + 0 186.450 * * [simplify]: Extracting #1: cost 11 inf + 0 186.450 * * [simplify]: Extracting #2: cost 104 inf + 1 186.451 * * [simplify]: Extracting #3: cost 173 inf + 3 186.451 * * [simplify]: Extracting #4: cost 201 inf + 329 186.453 * * [simplify]: Extracting #5: cost 133 inf + 12247 186.462 * * [simplify]: Extracting #6: cost 35 inf + 36476 186.480 * * [simplify]: Extracting #7: cost 0 inf + 48984 186.495 * [simplify]: Simplified to (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))) 186.495 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* 2 PI) n))))))) 186.496 * * * * [progress]: [ 148 / 315 ] simplifiying candidate # 186.496 * [simplify]: Simplifying (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 186.496 * * [simplify]: iters left: 6 (14 enodes) 186.504 * * [simplify]: iters left: 5 (63 enodes) 186.525 * * [simplify]: iters left: 4 (112 enodes) 186.552 * * [simplify]: iters left: 3 (192 enodes) 186.606 * * [simplify]: iters left: 2 (424 enodes) 186.812 * * [simplify]: Extracting #0: cost 1 inf + 0 186.812 * * [simplify]: Extracting #1: cost 41 inf + 0 186.813 * * [simplify]: Extracting #2: cost 241 inf + 2 186.814 * * [simplify]: Extracting #3: cost 387 inf + 80 186.818 * * [simplify]: Extracting #4: cost 302 inf + 18015 186.830 * * [simplify]: Extracting #5: cost 100 inf + 85523 186.860 * * [simplify]: Extracting #6: cost 4 inf + 147802 186.909 * * [simplify]: Extracting #7: cost 0 inf + 149032 186.963 * * [simplify]: Extracting #8: cost 0 inf + 148901 186.992 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))) 186.992 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k))))) 186.992 * * * * [progress]: [ 149 / 315 ] simplifiying candidate # 186.992 * [simplify]: Simplifying (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 186.992 * * [simplify]: iters left: 6 (14 enodes) 186.996 * * [simplify]: iters left: 5 (59 enodes) 187.007 * * [simplify]: iters left: 4 (103 enodes) 187.031 * * [simplify]: iters left: 3 (165 enodes) 187.086 * * [simplify]: iters left: 2 (344 enodes) 187.202 * * [simplify]: Extracting #0: cost 1 inf + 0 187.202 * * [simplify]: Extracting #1: cost 32 inf + 0 187.203 * * [simplify]: Extracting #2: cost 141 inf + 72 187.204 * * [simplify]: Extracting #3: cost 233 inf + 75 187.207 * * [simplify]: Extracting #4: cost 215 inf + 6808 187.216 * * [simplify]: Extracting #5: cost 140 inf + 27735 187.238 * * [simplify]: Extracting #6: cost 65 inf + 70662 187.256 * * [simplify]: Extracting #7: cost 0 inf + 122164 187.273 * * [simplify]: Extracting #8: cost 0 inf + 118791 187.297 * * [simplify]: Extracting #9: cost 0 inf + 117481 187.315 * [simplify]: Simplified to (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 187.315 * [simplify]: Simplified (2 1) to (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 187.315 * * * * [progress]: [ 150 / 315 ] simplifiying candidate # 187.315 * [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))))) 187.315 * * [simplify]: iters left: 6 (19 enodes) 187.322 * * [simplify]: iters left: 5 (79 enodes) 187.354 * * [simplify]: iters left: 4 (195 enodes) 187.451 * * [simplify]: Extracting #0: cost 1 inf + 0 187.452 * * [simplify]: Extracting #1: cost 50 inf + 0 187.452 * * [simplify]: Extracting #2: cost 125 inf + 124 187.453 * * [simplify]: Extracting #3: cost 160 inf + 657 187.455 * * [simplify]: Extracting #4: cost 160 inf + 914 187.458 * * [simplify]: Extracting #5: cost 119 inf + 11568 187.478 * * [simplify]: Extracting #6: cost 24 inf + 62891 187.502 * * [simplify]: Extracting #7: cost 0 inf + 79760 187.525 * [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))) 187.525 * [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))))) 187.526 * * * * [progress]: [ 151 / 315 ] simplifiying candidate # 187.526 * [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))))) 187.526 * * [simplify]: iters left: 6 (17 enodes) 187.536 * * [simplify]: iters left: 5 (74 enodes) 187.563 * * [simplify]: iters left: 4 (166 enodes) 187.630 * * [simplify]: iters left: 3 (438 enodes) 187.999 * * [simplify]: Extracting #0: cost 1 inf + 0 187.999 * * [simplify]: Extracting #1: cost 73 inf + 0 188.001 * * [simplify]: Extracting #2: cost 330 inf + 1 188.005 * * [simplify]: Extracting #3: cost 400 inf + 250 188.009 * * [simplify]: Extracting #4: cost 390 inf + 1579 188.020 * * [simplify]: Extracting #5: cost 286 inf + 46812 188.064 * * [simplify]: Extracting #6: cost 45 inf + 220676 188.121 * * [simplify]: Extracting #7: cost 0 inf + 255425 188.196 * * [simplify]: Extracting #8: cost 0 inf + 254269 188.285 * * [simplify]: Extracting #9: cost 0 inf + 253655 188.343 * [simplify]: Simplified to (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)))) 188.344 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (sqrt k)))))) 188.344 * * * * [progress]: [ 152 / 315 ] simplifiying candidate # 188.344 * [simplify]: Simplifying (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 188.344 * * [simplify]: iters left: 6 (15 enodes) 188.353 * * [simplify]: iters left: 5 (62 enodes) 188.373 * * [simplify]: iters left: 4 (104 enodes) 188.391 * * [simplify]: iters left: 3 (165 enodes) 188.448 * * [simplify]: iters left: 2 (317 enodes) 188.553 * * [simplify]: Extracting #0: cost 1 inf + 0 188.553 * * [simplify]: Extracting #1: cost 3 inf + 0 188.553 * * [simplify]: Extracting #2: cost 5 inf + 0 188.553 * * [simplify]: Extracting #3: cost 48 inf + 0 188.554 * * [simplify]: Extracting #4: cost 133 inf + 1 188.555 * * [simplify]: Extracting #5: cost 181 inf + 45 188.556 * * [simplify]: Extracting #6: cost 161 inf + 5927 188.560 * * [simplify]: Extracting #7: cost 102 inf + 21340 188.569 * * [simplify]: Extracting #8: cost 33 inf + 64156 188.583 * * [simplify]: Extracting #9: cost 0 inf + 90425 188.607 * * [simplify]: Extracting #10: cost 0 inf + 90224 188.621 * * [simplify]: Extracting #11: cost 0 inf + 90184 188.635 * [simplify]: Simplified to (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 188.635 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 188.635 * [simplify]: Simplifying (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 188.635 * * [simplify]: iters left: 6 (14 enodes) 188.643 * * [simplify]: iters left: 5 (59 enodes) 188.663 * * [simplify]: iters left: 4 (101 enodes) 188.696 * * [simplify]: iters left: 3 (158 enodes) 188.756 * * [simplify]: iters left: 2 (310 enodes) 188.868 * * [simplify]: Extracting #0: cost 1 inf + 0 188.868 * * [simplify]: Extracting #1: cost 3 inf + 0 188.869 * * [simplify]: Extracting #2: cost 51 inf + 0 188.869 * * [simplify]: Extracting #3: cost 135 inf + 1 188.871 * * [simplify]: Extracting #4: cost 180 inf + 127 188.873 * * [simplify]: Extracting #5: cost 171 inf + 1420 188.878 * * [simplify]: Extracting #6: cost 121 inf + 14633 188.897 * * [simplify]: Extracting #7: cost 26 inf + 74696 188.923 * * [simplify]: Extracting #8: cost 0 inf + 88029 188.955 * * [simplify]: Extracting #9: cost 0 inf + 87247 188.983 * [simplify]: Simplified to (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 188.983 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 188.983 * * * * [progress]: [ 153 / 315 ] simplifiying candidate # 188.983 * [simplify]: Simplifying (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 188.984 * * [simplify]: iters left: 6 (15 enodes) 188.992 * * [simplify]: iters left: 5 (69 enodes) 189.013 * * [simplify]: iters left: 4 (137 enodes) 189.051 * * [simplify]: iters left: 3 (342 enodes) 189.326 * * [simplify]: Extracting #0: cost 1 inf + 0 189.326 * * [simplify]: Extracting #1: cost 69 inf + 0 189.327 * * [simplify]: Extracting #2: cost 250 inf + 2 189.328 * * [simplify]: Extracting #3: cost 284 inf + 744 189.330 * * [simplify]: Extracting #4: cost 265 inf + 2892 189.338 * * [simplify]: Extracting #5: cost 184 inf + 37424 189.363 * * [simplify]: Extracting #6: cost 26 inf + 143612 189.398 * * [simplify]: Extracting #7: cost 0 inf + 163508 189.434 * [simplify]: Simplified to (* (* (/ (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)) (sqrt k))) 189.434 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (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)) (sqrt k))))) 189.434 * * * * [progress]: [ 154 / 315 ] simplifiying candidate # 189.435 * [simplify]: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 189.435 * * [simplify]: iters left: 6 (14 enodes) 189.439 * * [simplify]: iters left: 5 (59 enodes) 189.449 * * [simplify]: iters left: 4 (101 enodes) 189.466 * * [simplify]: iters left: 3 (158 enodes) 189.519 * * [simplify]: iters left: 2 (310 enodes) 189.647 * * [simplify]: Extracting #0: cost 1 inf + 0 189.647 * * [simplify]: Extracting #1: cost 3 inf + 0 189.647 * * [simplify]: Extracting #2: cost 51 inf + 0 189.648 * * [simplify]: Extracting #3: cost 135 inf + 1 189.649 * * [simplify]: Extracting #4: cost 180 inf + 127 189.651 * * [simplify]: Extracting #5: cost 171 inf + 1420 189.656 * * [simplify]: Extracting #6: cost 121 inf + 14553 189.676 * * [simplify]: Extracting #7: cost 26 inf + 74616 189.703 * * [simplify]: Extracting #8: cost 0 inf + 87949 189.731 * * [simplify]: Extracting #9: cost 0 inf + 87167 189.752 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 189.752 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 189.752 * [simplify]: Simplifying (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 189.752 * * [simplify]: iters left: 6 (14 enodes) 189.756 * * [simplify]: iters left: 5 (59 enodes) 189.769 * * [simplify]: iters left: 4 (101 enodes) 189.795 * * [simplify]: iters left: 3 (158 enodes) 189.856 * * [simplify]: iters left: 2 (310 enodes) 189.981 * * [simplify]: Extracting #0: cost 1 inf + 0 189.981 * * [simplify]: Extracting #1: cost 3 inf + 0 189.981 * * [simplify]: Extracting #2: cost 51 inf + 0 189.981 * * [simplify]: Extracting #3: cost 135 inf + 1 189.982 * * [simplify]: Extracting #4: cost 180 inf + 127 189.986 * * [simplify]: Extracting #5: cost 171 inf + 1420 189.989 * * [simplify]: Extracting #6: cost 121 inf + 14553 190.006 * * [simplify]: Extracting #7: cost 26 inf + 74616 190.022 * * [simplify]: Extracting #8: cost 0 inf + 87949 190.037 * * [simplify]: Extracting #9: cost 0 inf + 87167 190.051 * [simplify]: Simplified to (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 190.051 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))) 190.051 * * * * [progress]: [ 155 / 315 ] simplifiying candidate # 190.051 * [simplify]: Simplifying (- 1) 190.051 * * [simplify]: iters left: 2 (2 enodes) 190.053 * * [simplify]: iters left: 1 (9 enodes) 190.055 * * [simplify]: Extracting #0: cost 1 inf + 0 190.055 * * [simplify]: Extracting #1: cost 0 inf + 1 190.055 * [simplify]: Simplified to -1 190.055 * [simplify]: Simplified (2 1) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 190.055 * [simplify]: Simplifying (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 190.055 * * [simplify]: iters left: 6 (13 enodes) 190.059 * * [simplify]: iters left: 5 (56 enodes) 190.070 * * [simplify]: iters left: 4 (95 enodes) 190.104 * * [simplify]: iters left: 3 (142 enodes) 190.151 * * [simplify]: iters left: 2 (235 enodes) 190.242 * * [simplify]: iters left: 1 (446 enodes) 190.396 * * [simplify]: Extracting #0: cost 1 inf + 0 190.396 * * [simplify]: Extracting #1: cost 7 inf + 0 190.396 * * [simplify]: Extracting #2: cost 48 inf + 0 190.397 * * [simplify]: Extracting #3: cost 159 inf + 1 190.399 * * [simplify]: Extracting #4: cost 203 inf + 423 190.402 * * [simplify]: Extracting #5: cost 177 inf + 3657 190.414 * * [simplify]: Extracting #6: cost 106 inf + 17082 190.431 * * [simplify]: Extracting #7: cost 24 inf + 76199 190.445 * * [simplify]: Extracting #8: cost 0 inf + 95050 190.464 * * [simplify]: Extracting #9: cost 0 inf + 94798 190.492 * [simplify]: Simplified to (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 190.492 * [simplify]: Simplified (2 2) to (λ (k n) (/ -1 (- (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 190.492 * * * * [progress]: [ 156 / 315 ] simplifiying candidate # 190.493 * [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)))))) 190.493 * * [simplify]: iters left: 6 (17 enodes) 190.503 * * [simplify]: iters left: 5 (72 enodes) 190.528 * * [simplify]: iters left: 4 (117 enodes) 190.566 * * [simplify]: iters left: 3 (193 enodes) 190.606 * * [simplify]: iters left: 2 (300 enodes) 190.681 * * [simplify]: iters left: 1 (488 enodes) 190.879 * * [simplify]: Extracting #0: cost 1 inf + 0 190.880 * * [simplify]: Extracting #1: cost 6 inf + 0 190.880 * * [simplify]: Extracting #2: cost 9 inf + 1 190.880 * * [simplify]: Extracting #3: cost 14 inf + 1 190.880 * * [simplify]: Extracting #4: cost 47 inf + 1 190.881 * * [simplify]: Extracting #5: cost 138 inf + 85 190.883 * * [simplify]: Extracting #6: cost 183 inf + 1046 190.887 * * [simplify]: Extracting #7: cost 132 inf + 7380 190.894 * * [simplify]: Extracting #8: cost 60 inf + 32059 190.906 * * [simplify]: Extracting #9: cost 1 inf + 78804 190.918 * * [simplify]: Extracting #10: cost 0 inf + 79471 190.939 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) 190.939 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (* 1/2 (- 1 k))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 190.939 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 190.939 * * [simplify]: iters left: 6 (15 enodes) 190.948 * * [simplify]: iters left: 5 (60 enodes) 190.968 * * [simplify]: iters left: 4 (91 enodes) 191.000 * * [simplify]: iters left: 3 (135 enodes) 191.043 * * [simplify]: iters left: 2 (237 enodes) 191.099 * * [simplify]: iters left: 1 (422 enodes) 191.254 * * [simplify]: Extracting #0: cost 1 inf + 0 191.254 * * [simplify]: Extracting #1: cost 4 inf + 0 191.254 * * [simplify]: Extracting #2: cost 5 inf + 1 191.254 * * [simplify]: Extracting #3: cost 10 inf + 1 191.254 * * [simplify]: Extracting #4: cost 42 inf + 1 191.255 * * [simplify]: Extracting #5: cost 127 inf + 85 191.256 * * [simplify]: Extracting #6: cost 186 inf + 386 191.258 * * [simplify]: Extracting #7: cost 132 inf + 12008 191.267 * * [simplify]: Extracting #8: cost 23 inf + 59718 191.291 * * [simplify]: Extracting #9: cost 0 inf + 70102 191.317 * * [simplify]: Extracting #10: cost 0 inf + 67595 191.342 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 191.342 * [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))))))) 191.343 * * * * [progress]: [ 157 / 315 ] simplifiying candidate # 191.343 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 191.343 * * [simplify]: iters left: 6 (16 enodes) 191.353 * * [simplify]: iters left: 5 (65 enodes) 191.374 * * [simplify]: iters left: 4 (96 enodes) 191.403 * * [simplify]: iters left: 3 (141 enodes) 191.452 * * [simplify]: iters left: 2 (244 enodes) 191.509 * * [simplify]: iters left: 1 (427 enodes) 191.635 * * [simplify]: Extracting #0: cost 1 inf + 0 191.635 * * [simplify]: Extracting #1: cost 4 inf + 0 191.635 * * [simplify]: Extracting #2: cost 5 inf + 1 191.635 * * [simplify]: Extracting #3: cost 10 inf + 1 191.635 * * [simplify]: Extracting #4: cost 43 inf + 1 191.636 * * [simplify]: Extracting #5: cost 139 inf + 85 191.636 * * [simplify]: Extracting #6: cost 184 inf + 385 191.638 * * [simplify]: Extracting #7: cost 132 inf + 10392 191.645 * * [simplify]: Extracting #8: cost 48 inf + 42078 191.657 * * [simplify]: Extracting #9: cost 3 inf + 78856 191.670 * * [simplify]: Extracting #10: cost 0 inf + 81874 191.686 * * [simplify]: Extracting #11: cost 0 inf + 81753 191.699 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) 191.699 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 191.699 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 191.699 * * [simplify]: iters left: 6 (15 enodes) 191.704 * * [simplify]: iters left: 5 (60 enodes) 191.714 * * [simplify]: iters left: 4 (91 enodes) 191.742 * * [simplify]: iters left: 3 (135 enodes) 191.769 * * [simplify]: iters left: 2 (237 enodes) 191.844 * * [simplify]: iters left: 1 (422 enodes) 192.071 * * [simplify]: Extracting #0: cost 1 inf + 0 192.071 * * [simplify]: Extracting #1: cost 4 inf + 0 192.071 * * [simplify]: Extracting #2: cost 5 inf + 1 192.071 * * [simplify]: Extracting #3: cost 10 inf + 1 192.072 * * [simplify]: Extracting #4: cost 42 inf + 1 192.072 * * [simplify]: Extracting #5: cost 127 inf + 85 192.074 * * [simplify]: Extracting #6: cost 186 inf + 386 192.078 * * [simplify]: Extracting #7: cost 132 inf + 12008 192.096 * * [simplify]: Extracting #8: cost 23 inf + 59598 192.117 * * [simplify]: Extracting #9: cost 0 inf + 69942 192.131 * * [simplify]: Extracting #10: cost 0 inf + 67435 192.147 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 192.147 * [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))))))) 192.148 * * * * [progress]: [ 158 / 315 ] simplifiying candidate # 192.148 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 192.148 * * [simplify]: iters left: 6 (14 enodes) 192.153 * * [simplify]: iters left: 5 (59 enodes) 192.163 * * [simplify]: iters left: 4 (105 enodes) 192.182 * * [simplify]: iters left: 3 (218 enodes) 192.270 * * [simplify]: Extracting #0: cost 1 inf + 0 192.270 * * [simplify]: Extracting #1: cost 38 inf + 0 192.271 * * [simplify]: Extracting #2: cost 110 inf + 1 192.272 * * [simplify]: Extracting #3: cost 140 inf + 3 192.273 * * [simplify]: Extracting #4: cost 132 inf + 1025 192.276 * * [simplify]: Extracting #5: cost 84 inf + 10023 192.284 * * [simplify]: Extracting #6: cost 47 inf + 25739 192.298 * * [simplify]: Extracting #7: cost 0 inf + 55505 192.312 * * [simplify]: Extracting #8: cost 0 inf + 55306 192.326 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 192.327 * [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)))))) 192.327 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 192.327 * * [simplify]: iters left: 6 (13 enodes) 192.335 * * [simplify]: iters left: 5 (53 enodes) 192.348 * * [simplify]: iters left: 4 (89 enodes) 192.365 * * [simplify]: iters left: 3 (148 enodes) 192.404 * * [simplify]: iters left: 2 (312 enodes) 192.562 * * [simplify]: Extracting #0: cost 1 inf + 0 192.562 * * [simplify]: Extracting #1: cost 42 inf + 0 192.562 * * [simplify]: Extracting #2: cost 120 inf + 1 192.563 * * [simplify]: Extracting #3: cost 167 inf + 3 192.564 * * [simplify]: Extracting #4: cost 162 inf + 873 192.567 * * [simplify]: Extracting #5: cost 130 inf + 6079 192.576 * * [simplify]: Extracting #6: cost 64 inf + 34958 192.592 * * [simplify]: Extracting #7: cost 7 inf + 77044 192.604 * * [simplify]: Extracting #8: cost 0 inf + 80090 192.615 * * [simplify]: Extracting #9: cost 0 inf + 79790 192.638 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 192.638 * [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))))) 192.638 * * * * [progress]: [ 159 / 315 ] simplifiying candidate # 192.639 * [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)))))) 192.639 * * [simplify]: iters left: 6 (19 enodes) 192.650 * * [simplify]: iters left: 5 (82 enodes) 192.668 * * [simplify]: iters left: 4 (145 enodes) 192.702 * * [simplify]: iters left: 3 (245 enodes) 192.779 * * [simplify]: iters left: 2 (423 enodes) 192.897 * * [simplify]: Extracting #0: cost 1 inf + 0 192.897 * * [simplify]: Extracting #1: cost 16 inf + 0 192.897 * * [simplify]: Extracting #2: cost 31 inf + 1 192.897 * * [simplify]: Extracting #3: cost 45 inf + 1 192.897 * * [simplify]: Extracting #4: cost 85 inf + 489 192.898 * * [simplify]: Extracting #5: cost 109 inf + 1469 192.902 * * [simplify]: Extracting #6: cost 63 inf + 13252 192.913 * * [simplify]: Extracting #7: cost 8 inf + 34504 192.926 * * [simplify]: Extracting #8: cost 0 inf + 38312 192.939 * * [simplify]: Extracting #9: cost 0 inf + 38182 192.955 * [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)))) 192.956 * [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))))))) 192.956 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 192.956 * * [simplify]: iters left: 6 (16 enodes) 192.965 * * [simplify]: iters left: 5 (65 enodes) 192.987 * * [simplify]: iters left: 4 (101 enodes) 193.006 * * [simplify]: iters left: 3 (147 enodes) 193.041 * * [simplify]: iters left: 2 (258 enodes) 193.106 * * [simplify]: iters left: 1 (428 enodes) 193.279 * * [simplify]: Extracting #0: cost 1 inf + 0 193.280 * * [simplify]: Extracting #1: cost 7 inf + 0 193.280 * * [simplify]: Extracting #2: cost 12 inf + 1 193.280 * * [simplify]: Extracting #3: cost 43 inf + 1 193.281 * * [simplify]: Extracting #4: cost 115 inf + 327 193.282 * * [simplify]: Extracting #5: cost 169 inf + 1738 193.288 * * [simplify]: Extracting #6: cost 99 inf + 15115 193.307 * * [simplify]: Extracting #7: cost 10 inf + 62675 193.333 * * [simplify]: Extracting #8: cost 0 inf + 69101 193.359 * * [simplify]: Extracting #9: cost 0 inf + 68820 193.383 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 193.384 * [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))))) 193.384 * * * * [progress]: [ 160 / 315 ] simplifiying candidate # 193.384 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 193.385 * * [simplify]: iters left: 6 (18 enodes) 193.395 * * [simplify]: iters left: 5 (75 enodes) 193.424 * * [simplify]: iters left: 4 (119 enodes) 193.463 * * [simplify]: iters left: 3 (203 enodes) 193.541 * * [simplify]: iters left: 2 (359 enodes) 193.626 * * [simplify]: Extracting #0: cost 1 inf + 0 193.626 * * [simplify]: Extracting #1: cost 11 inf + 0 193.626 * * [simplify]: Extracting #2: cost 21 inf + 1 193.627 * * [simplify]: Extracting #3: cost 41 inf + 1 193.627 * * [simplify]: Extracting #4: cost 91 inf + 529 193.628 * * [simplify]: Extracting #5: cost 99 inf + 2006 193.632 * * [simplify]: Extracting #6: cost 50 inf + 11430 193.644 * * [simplify]: Extracting #7: cost 11 inf + 25717 193.650 * * [simplify]: Extracting #8: cost 0 inf + 33492 193.656 * * [simplify]: Extracting #9: cost 0 inf + 33361 193.661 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 193.661 * [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))))))) 193.661 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 193.661 * * [simplify]: iters left: 6 (16 enodes) 193.666 * * [simplify]: iters left: 5 (65 enodes) 193.677 * * [simplify]: iters left: 4 (102 enodes) 193.693 * * [simplify]: iters left: 3 (148 enodes) 193.727 * * [simplify]: iters left: 2 (260 enodes) 193.786 * * [simplify]: iters left: 1 (424 enodes) 193.950 * * [simplify]: Extracting #0: cost 1 inf + 0 193.950 * * [simplify]: Extracting #1: cost 7 inf + 0 193.950 * * [simplify]: Extracting #2: cost 13 inf + 1 193.950 * * [simplify]: Extracting #3: cost 46 inf + 1 193.951 * * [simplify]: Extracting #4: cost 126 inf + 327 193.952 * * [simplify]: Extracting #5: cost 150 inf + 1736 193.954 * * [simplify]: Extracting #6: cost 78 inf + 17130 193.962 * * [simplify]: Extracting #7: cost 20 inf + 47272 193.977 * * [simplify]: Extracting #8: cost 0 inf + 64938 193.991 * * [simplify]: Extracting #9: cost 0 inf + 64738 194.001 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 194.001 * [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))))) 194.001 * * * * [progress]: [ 161 / 315 ] simplifiying candidate # 194.001 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 194.002 * * [simplify]: iters left: 6 (9 enodes) 194.004 * * [simplify]: iters left: 5 (33 enodes) 194.010 * * [simplify]: iters left: 4 (49 enodes) 194.024 * * [simplify]: iters left: 3 (74 enodes) 194.040 * * [simplify]: Extracting #0: cost 1 inf + 0 194.040 * * [simplify]: Extracting #1: cost 6 inf + 0 194.040 * * [simplify]: Extracting #2: cost 9 inf + 1 194.040 * * [simplify]: Extracting #3: cost 11 inf + 1 194.041 * * [simplify]: Extracting #4: cost 3 inf + 850 194.041 * * [simplify]: Extracting #5: cost 0 inf + 1376 194.041 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 194.041 * [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)))))) 194.041 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 194.041 * * [simplify]: iters left: 6 (15 enodes) 194.046 * * [simplify]: iters left: 5 (62 enodes) 194.058 * * [simplify]: iters left: 4 (102 enodes) 194.082 * * [simplify]: iters left: 3 (168 enodes) 194.126 * * [simplify]: iters left: 2 (350 enodes) 194.258 * * [simplify]: Extracting #0: cost 1 inf + 0 194.258 * * [simplify]: Extracting #1: cost 54 inf + 0 194.259 * * [simplify]: Extracting #2: cost 147 inf + 1 194.260 * * [simplify]: Extracting #3: cost 196 inf + 3 194.262 * * [simplify]: Extracting #4: cost 181 inf + 3359 194.267 * * [simplify]: Extracting #5: cost 134 inf + 12750 194.283 * * [simplify]: Extracting #6: cost 49 inf + 65605 194.310 * * [simplify]: Extracting #7: cost 0 inf + 103757 194.334 * * [simplify]: Extracting #8: cost 0 inf + 103505 194.349 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 194.349 * [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))))) 194.349 * * * * [progress]: [ 162 / 315 ] simplifiying candidate # 194.349 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 194.349 * * [simplify]: iters left: 6 (18 enodes) 194.356 * * [simplify]: iters left: 5 (78 enodes) 194.382 * * [simplify]: iters left: 4 (135 enodes) 194.424 * * [simplify]: iters left: 3 (270 enodes) 194.539 * * [simplify]: Extracting #0: cost 1 inf + 0 194.539 * * [simplify]: Extracting #1: cost 41 inf + 0 194.540 * * [simplify]: Extracting #2: cost 115 inf + 1 194.545 * * [simplify]: Extracting #3: cost 160 inf + 2 194.546 * * [simplify]: Extracting #4: cost 162 inf + 539 194.549 * * [simplify]: Extracting #5: cost 102 inf + 11415 194.561 * * [simplify]: Extracting #6: cost 28 inf + 48208 194.571 * * [simplify]: Extracting #7: cost 0 inf + 66045 194.581 * * [simplify]: Extracting #8: cost 0 inf + 65885 194.590 * [simplify]: Simplified to (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 194.591 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 194.591 * [simplify]: Simplifying (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 194.591 * * [simplify]: iters left: 6 (16 enodes) 194.597 * * [simplify]: iters left: 5 (68 enodes) 194.620 * * [simplify]: iters left: 4 (115 enodes) 194.662 * * [simplify]: iters left: 3 (196 enodes) 194.739 * * [simplify]: iters left: 2 (406 enodes) 194.875 * * [simplify]: Extracting #0: cost 1 inf + 0 194.875 * * [simplify]: Extracting #1: cost 40 inf + 0 194.876 * * [simplify]: Extracting #2: cost 119 inf + 1 194.877 * * [simplify]: Extracting #3: cost 178 inf + 3 194.878 * * [simplify]: Extracting #4: cost 185 inf + 385 194.882 * * [simplify]: Extracting #5: cost 141 inf + 9797 194.890 * * [simplify]: Extracting #6: cost 39 inf + 56380 194.902 * * [simplify]: Extracting #7: cost 3 inf + 84473 194.916 * * [simplify]: Extracting #8: cost 0 inf + 87248 194.930 * * [simplify]: Extracting #9: cost 0 inf + 87208 194.946 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 194.946 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 194.947 * * * * [progress]: [ 163 / 315 ] simplifiying candidate # 194.947 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 194.947 * * [simplify]: iters left: 6 (14 enodes) 194.951 * * [simplify]: iters left: 5 (58 enodes) 194.961 * * [simplify]: iters left: 4 (90 enodes) 194.989 * * [simplify]: iters left: 3 (152 enodes) 195.053 * * [simplify]: iters left: 2 (326 enodes) 195.186 * * [simplify]: Extracting #0: cost 1 inf + 0 195.186 * * [simplify]: Extracting #1: cost 44 inf + 0 195.186 * * [simplify]: Extracting #2: cost 136 inf + 1 195.187 * * [simplify]: Extracting #3: cost 183 inf + 4 195.188 * * [simplify]: Extracting #4: cost 172 inf + 2986 195.190 * * [simplify]: Extracting #5: cost 121 inf + 14334 195.198 * * [simplify]: Extracting #6: cost 50 inf + 51606 195.220 * * [simplify]: Extracting #7: cost 3 inf + 87136 195.243 * * [simplify]: Extracting #8: cost 0 inf + 88055 195.266 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 195.266 * [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)))))) 195.266 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 195.267 * * [simplify]: iters left: 6 (13 enodes) 195.275 * * [simplify]: iters left: 5 (53 enodes) 195.293 * * [simplify]: iters left: 4 (89 enodes) 195.315 * * [simplify]: iters left: 3 (148 enodes) 195.374 * * [simplify]: iters left: 2 (312 enodes) 195.520 * * [simplify]: Extracting #0: cost 1 inf + 0 195.520 * * [simplify]: Extracting #1: cost 42 inf + 0 195.521 * * [simplify]: Extracting #2: cost 120 inf + 1 195.522 * * [simplify]: Extracting #3: cost 167 inf + 3 195.524 * * [simplify]: Extracting #4: cost 162 inf + 953 195.526 * * [simplify]: Extracting #5: cost 130 inf + 6159 195.536 * * [simplify]: Extracting #6: cost 64 inf + 35038 195.558 * * [simplify]: Extracting #7: cost 7 inf + 77124 195.580 * * [simplify]: Extracting #8: cost 0 inf + 80170 195.595 * * [simplify]: Extracting #9: cost 0 inf + 79870 195.607 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 195.607 * [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))))) 195.607 * * * * [progress]: [ 164 / 315 ] simplifiying candidate # 195.607 * [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)))))) 195.607 * * [simplify]: iters left: 6 (19 enodes) 195.613 * * [simplify]: iters left: 5 (79 enodes) 195.632 * * [simplify]: iters left: 4 (117 enodes) 195.668 * * [simplify]: iters left: 3 (176 enodes) 195.730 * * [simplify]: iters left: 2 (292 enodes) 195.802 * * [simplify]: iters left: 1 (481 enodes) 195.998 * * [simplify]: Extracting #0: cost 1 inf + 0 195.998 * * [simplify]: Extracting #1: cost 10 inf + 0 195.999 * * [simplify]: Extracting #2: cost 19 inf + 1 195.999 * * [simplify]: Extracting #3: cost 51 inf + 1 196.000 * * [simplify]: Extracting #4: cost 119 inf + 973 196.001 * * [simplify]: Extracting #5: cost 187 inf + 1560 196.008 * * [simplify]: Extracting #6: cost 114 inf + 13569 196.023 * * [simplify]: Extracting #7: cost 25 inf + 52879 196.036 * * [simplify]: Extracting #8: cost 0 inf + 74006 196.047 * * [simplify]: Extracting #9: cost 0 inf + 73476 196.066 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (/ (cbrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k)))) 196.066 * [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))))))) 196.067 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 196.067 * * [simplify]: iters left: 6 (16 enodes) 196.076 * * [simplify]: iters left: 5 (65 enodes) 196.097 * * [simplify]: iters left: 4 (101 enodes) 196.124 * * [simplify]: iters left: 3 (147 enodes) 196.151 * * [simplify]: iters left: 2 (258 enodes) 196.243 * * [simplify]: iters left: 1 (428 enodes) 196.398 * * [simplify]: Extracting #0: cost 1 inf + 0 196.398 * * [simplify]: Extracting #1: cost 7 inf + 0 196.398 * * [simplify]: Extracting #2: cost 12 inf + 1 196.398 * * [simplify]: Extracting #3: cost 43 inf + 1 196.398 * * [simplify]: Extracting #4: cost 115 inf + 407 196.399 * * [simplify]: Extracting #5: cost 169 inf + 1818 196.402 * * [simplify]: Extracting #6: cost 99 inf + 15195 196.411 * * [simplify]: Extracting #7: cost 10 inf + 62755 196.424 * * [simplify]: Extracting #8: cost 0 inf + 69181 196.438 * * [simplify]: Extracting #9: cost 0 inf + 68900 196.450 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 196.450 * [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))))) 196.451 * * * * [progress]: [ 165 / 315 ] simplifiying candidate # 196.451 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 196.451 * * [simplify]: iters left: 6 (18 enodes) 196.457 * * [simplify]: iters left: 5 (74 enodes) 196.472 * * [simplify]: iters left: 4 (111 enodes) 196.492 * * [simplify]: iters left: 3 (162 enodes) 196.548 * * [simplify]: iters left: 2 (270 enodes) 196.628 * * [simplify]: iters left: 1 (463 enodes) 196.807 * * [simplify]: Extracting #0: cost 1 inf + 0 196.807 * * [simplify]: Extracting #1: cost 7 inf + 0 196.807 * * [simplify]: Extracting #2: cost 14 inf + 1 196.807 * * [simplify]: Extracting #3: cost 46 inf + 1 196.808 * * [simplify]: Extracting #4: cost 134 inf + 569 196.809 * * [simplify]: Extracting #5: cost 189 inf + 1066 196.811 * * [simplify]: Extracting #6: cost 120 inf + 10378 196.817 * * [simplify]: Extracting #7: cost 36 inf + 45049 196.838 * * [simplify]: Extracting #8: cost 0 inf + 73937 196.861 * * [simplify]: Extracting #9: cost 0 inf + 72436 196.882 * * [simplify]: Extracting #10: cost 0 inf + 70835 196.894 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 196.894 * [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))))))) 196.894 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 196.895 * * [simplify]: iters left: 6 (16 enodes) 196.900 * * [simplify]: iters left: 5 (65 enodes) 196.914 * * [simplify]: iters left: 4 (102 enodes) 196.931 * * [simplify]: iters left: 3 (148 enodes) 196.979 * * [simplify]: iters left: 2 (260 enodes) 197.059 * * [simplify]: iters left: 1 (424 enodes) 197.215 * * [simplify]: Extracting #0: cost 1 inf + 0 197.215 * * [simplify]: Extracting #1: cost 7 inf + 0 197.215 * * [simplify]: Extracting #2: cost 13 inf + 1 197.216 * * [simplify]: Extracting #3: cost 46 inf + 1 197.216 * * [simplify]: Extracting #4: cost 126 inf + 407 197.218 * * [simplify]: Extracting #5: cost 150 inf + 1816 197.225 * * [simplify]: Extracting #6: cost 78 inf + 17210 197.244 * * [simplify]: Extracting #7: cost 20 inf + 47352 197.264 * * [simplify]: Extracting #8: cost 0 inf + 65018 197.283 * * [simplify]: Extracting #9: cost 0 inf + 64818 197.303 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 197.303 * [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))))) 197.303 * * * * [progress]: [ 166 / 315 ] simplifiying candidate # 197.304 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 197.304 * * [simplify]: iters left: 6 (9 enodes) 197.307 * * [simplify]: iters left: 5 (31 enodes) 197.311 * * [simplify]: iters left: 4 (34 enodes) 197.316 * * [simplify]: Extracting #0: cost 1 inf + 0 197.316 * * [simplify]: Extracting #1: cost 4 inf + 0 197.316 * * [simplify]: Extracting #2: cost 6 inf + 1 197.316 * * [simplify]: Extracting #3: cost 9 inf + 1 197.316 * * [simplify]: Extracting #4: cost 0 inf + 972 197.316 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 197.316 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 197.317 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 197.317 * * [simplify]: iters left: 6 (15 enodes) 197.322 * * [simplify]: iters left: 5 (62 enodes) 197.333 * * [simplify]: iters left: 4 (102 enodes) 197.366 * * [simplify]: iters left: 3 (168 enodes) 197.436 * * [simplify]: iters left: 2 (350 enodes) 197.596 * * [simplify]: Extracting #0: cost 1 inf + 0 197.596 * * [simplify]: Extracting #1: cost 54 inf + 0 197.597 * * [simplify]: Extracting #2: cost 147 inf + 1 197.598 * * [simplify]: Extracting #3: cost 196 inf + 3 197.600 * * [simplify]: Extracting #4: cost 181 inf + 3439 197.604 * * [simplify]: Extracting #5: cost 134 inf + 12830 197.612 * * [simplify]: Extracting #6: cost 49 inf + 65685 197.626 * * [simplify]: Extracting #7: cost 0 inf + 103837 197.641 * * [simplify]: Extracting #8: cost 0 inf + 103585 197.668 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 197.668 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 197.668 * * * * [progress]: [ 167 / 315 ] simplifiying candidate # 197.668 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 197.669 * * [simplify]: iters left: 6 (18 enodes) 197.680 * * [simplify]: iters left: 5 (77 enodes) 197.707 * * [simplify]: iters left: 4 (121 enodes) 197.727 * * [simplify]: iters left: 3 (197 enodes) 197.770 * * [simplify]: iters left: 2 (387 enodes) 197.918 * * [simplify]: Extracting #0: cost 1 inf + 0 197.918 * * [simplify]: Extracting #1: cost 46 inf + 0 197.918 * * [simplify]: Extracting #2: cost 132 inf + 1 197.919 * * [simplify]: Extracting #3: cost 194 inf + 3 197.920 * * [simplify]: Extracting #4: cost 190 inf + 1898 197.923 * * [simplify]: Extracting #5: cost 136 inf + 10282 197.928 * * [simplify]: Extracting #6: cost 82 inf + 33612 197.940 * * [simplify]: Extracting #7: cost 12 inf + 86513 197.958 * * [simplify]: Extracting #8: cost 0 inf + 96163 197.987 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (fabs (cbrt k))) 197.987 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 197.988 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 197.988 * * [simplify]: iters left: 6 (16 enodes) 198.002 * * [simplify]: iters left: 5 (68 enodes) 198.021 * * [simplify]: iters left: 4 (115 enodes) 198.041 * * [simplify]: iters left: 3 (196 enodes) 198.111 * * [simplify]: iters left: 2 (406 enodes) 198.283 * * [simplify]: Extracting #0: cost 1 inf + 0 198.284 * * [simplify]: Extracting #1: cost 40 inf + 0 198.284 * * [simplify]: Extracting #2: cost 119 inf + 1 198.285 * * [simplify]: Extracting #3: cost 178 inf + 3 198.285 * * [simplify]: Extracting #4: cost 185 inf + 465 198.288 * * [simplify]: Extracting #5: cost 141 inf + 9877 198.302 * * [simplify]: Extracting #6: cost 39 inf + 56460 198.332 * * [simplify]: Extracting #7: cost 3 inf + 84553 198.353 * * [simplify]: Extracting #8: cost 0 inf + 87328 198.367 * * [simplify]: Extracting #9: cost 0 inf + 87288 198.381 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 198.381 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 198.381 * * * * [progress]: [ 168 / 315 ] simplifiying candidate # 198.381 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 198.381 * * [simplify]: iters left: 6 (13 enodes) 198.386 * * [simplify]: iters left: 5 (54 enodes) 198.399 * * [simplify]: iters left: 4 (90 enodes) 198.429 * * [simplify]: iters left: 3 (154 enodes) 198.477 * * [simplify]: iters left: 2 (313 enodes) 198.589 * * [simplify]: Extracting #0: cost 1 inf + 0 198.589 * * [simplify]: Extracting #1: cost 45 inf + 0 198.590 * * [simplify]: Extracting #2: cost 130 inf + 1 198.590 * * [simplify]: Extracting #3: cost 178 inf + 4 198.591 * * [simplify]: Extracting #4: cost 178 inf + 504 198.593 * * [simplify]: Extracting #5: cost 144 inf + 6814 198.598 * * [simplify]: Extracting #6: cost 53 inf + 47792 198.608 * * [simplify]: Extracting #7: cost 1 inf + 82006 198.627 * * [simplify]: Extracting #8: cost 0 inf + 81692 198.648 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 198.648 * [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)))))) 198.648 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 198.648 * * [simplify]: iters left: 6 (13 enodes) 198.653 * * [simplify]: iters left: 5 (53 enodes) 198.662 * * [simplify]: iters left: 4 (89 enodes) 198.676 * * [simplify]: iters left: 3 (148 enodes) 198.719 * * [simplify]: iters left: 2 (312 enodes) 198.844 * * [simplify]: Extracting #0: cost 1 inf + 0 198.844 * * [simplify]: Extracting #1: cost 42 inf + 0 198.845 * * [simplify]: Extracting #2: cost 120 inf + 1 198.846 * * [simplify]: Extracting #3: cost 167 inf + 3 198.847 * * [simplify]: Extracting #4: cost 162 inf + 753 198.850 * * [simplify]: Extracting #5: cost 130 inf + 5799 198.859 * * [simplify]: Extracting #6: cost 64 inf + 33798 198.870 * * [simplify]: Extracting #7: cost 7 inf + 74324 198.881 * * [simplify]: Extracting #8: cost 0 inf + 77090 198.893 * * [simplify]: Extracting #9: cost 0 inf + 76790 198.908 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 198.908 * [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))))) 198.908 * * * * [progress]: [ 169 / 315 ] simplifiying candidate # 198.908 * [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)))))) 198.909 * * [simplify]: iters left: 6 (18 enodes) 198.914 * * [simplify]: iters left: 5 (75 enodes) 198.926 * * [simplify]: iters left: 4 (113 enodes) 198.953 * * [simplify]: iters left: 3 (172 enodes) 198.997 * * [simplify]: iters left: 2 (291 enodes) 199.054 * * [simplify]: iters left: 1 (481 enodes) 199.237 * * [simplify]: Extracting #0: cost 1 inf + 0 199.237 * * [simplify]: Extracting #1: cost 10 inf + 0 199.237 * * [simplify]: Extracting #2: cost 18 inf + 1 199.238 * * [simplify]: Extracting #3: cost 49 inf + 1 199.238 * * [simplify]: Extracting #4: cost 129 inf + 328 199.240 * * [simplify]: Extracting #5: cost 183 inf + 997 199.245 * * [simplify]: Extracting #6: cost 125 inf + 11071 199.262 * * [simplify]: Extracting #7: cost 16 inf + 72254 199.287 * * [simplify]: Extracting #8: cost 0 inf + 81415 199.315 * * [simplify]: Extracting #9: cost 0 inf + 79654 199.338 * * [simplify]: Extracting #10: cost 0 inf + 78892 199.353 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 199.353 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 199.353 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 199.353 * * [simplify]: iters left: 6 (16 enodes) 199.358 * * [simplify]: iters left: 5 (65 enodes) 199.368 * * [simplify]: iters left: 4 (101 enodes) 199.387 * * [simplify]: iters left: 3 (147 enodes) 199.435 * * [simplify]: iters left: 2 (258 enodes) 199.485 * * [simplify]: iters left: 1 (428 enodes) 199.631 * * [simplify]: Extracting #0: cost 1 inf + 0 199.631 * * [simplify]: Extracting #1: cost 7 inf + 0 199.631 * * [simplify]: Extracting #2: cost 12 inf + 1 199.631 * * [simplify]: Extracting #3: cost 43 inf + 1 199.632 * * [simplify]: Extracting #4: cost 115 inf + 247 199.633 * * [simplify]: Extracting #5: cost 169 inf + 1578 199.636 * * [simplify]: Extracting #6: cost 99 inf + 14875 199.653 * * [simplify]: Extracting #7: cost 10 inf + 62355 199.666 * * [simplify]: Extracting #8: cost 0 inf + 68781 199.682 * * [simplify]: Extracting #9: cost 0 inf + 68500 199.706 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 199.706 * [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))))) 199.707 * * * * [progress]: [ 170 / 315 ] simplifiying candidate # 199.707 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 199.707 * * [simplify]: iters left: 6 (17 enodes) 199.718 * * [simplify]: iters left: 5 (70 enodes) 199.742 * * [simplify]: iters left: 4 (107 enodes) 199.761 * * [simplify]: iters left: 3 (158 enodes) 199.798 * * [simplify]: iters left: 2 (263 enodes) 199.866 * * [simplify]: iters left: 1 (435 enodes) 200.038 * * [simplify]: Extracting #0: cost 1 inf + 0 200.038 * * [simplify]: Extracting #1: cost 7 inf + 0 200.038 * * [simplify]: Extracting #2: cost 13 inf + 1 200.039 * * [simplify]: Extracting #3: cost 45 inf + 1 200.039 * * [simplify]: Extracting #4: cost 133 inf + 125 200.041 * * [simplify]: Extracting #5: cost 177 inf + 1537 200.047 * * [simplify]: Extracting #6: cost 98 inf + 13419 200.061 * * [simplify]: Extracting #7: cost 32 inf + 41442 200.073 * * [simplify]: Extracting #8: cost 0 inf + 70004 200.084 * * [simplify]: Extracting #9: cost 0 inf + 68323 200.097 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 200.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 200.097 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 200.097 * * [simplify]: iters left: 6 (16 enodes) 200.107 * * [simplify]: iters left: 5 (65 enodes) 200.128 * * [simplify]: iters left: 4 (102 enodes) 200.144 * * [simplify]: iters left: 3 (148 enodes) 200.178 * * [simplify]: iters left: 2 (260 enodes) 200.246 * * [simplify]: iters left: 1 (424 enodes) 200.411 * * [simplify]: Extracting #0: cost 1 inf + 0 200.411 * * [simplify]: Extracting #1: cost 7 inf + 0 200.411 * * [simplify]: Extracting #2: cost 13 inf + 1 200.411 * * [simplify]: Extracting #3: cost 46 inf + 1 200.412 * * [simplify]: Extracting #4: cost 126 inf + 247 200.413 * * [simplify]: Extracting #5: cost 150 inf + 1576 200.416 * * [simplify]: Extracting #6: cost 78 inf + 16850 200.427 * * [simplify]: Extracting #7: cost 20 inf + 46952 200.439 * * [simplify]: Extracting #8: cost 0 inf + 64618 200.460 * * [simplify]: Extracting #9: cost 0 inf + 64418 200.473 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 200.473 * [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))))) 200.473 * * * * [progress]: [ 171 / 315 ] simplifiying candidate # 200.474 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 200.474 * * [simplify]: iters left: 6 (8 enodes) 200.476 * * [simplify]: iters left: 5 (28 enodes) 200.481 * * [simplify]: iters left: 4 (30 enodes) 200.485 * * [simplify]: iters left: 3 (31 enodes) 200.489 * * [simplify]: Extracting #0: cost 1 inf + 0 200.489 * * [simplify]: Extracting #1: cost 4 inf + 0 200.489 * * [simplify]: Extracting #2: cost 5 inf + 1 200.489 * * [simplify]: Extracting #3: cost 7 inf + 1 200.489 * * [simplify]: Extracting #4: cost 3 inf + 165 200.489 * * [simplify]: Extracting #5: cost 0 inf + 490 200.489 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 200.489 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 200.490 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 200.490 * * [simplify]: iters left: 6 (15 enodes) 200.495 * * [simplify]: iters left: 5 (62 enodes) 200.515 * * [simplify]: iters left: 4 (102 enodes) 200.543 * * [simplify]: iters left: 3 (168 enodes) 200.579 * * [simplify]: iters left: 2 (350 enodes) 200.724 * * [simplify]: Extracting #0: cost 1 inf + 0 200.724 * * [simplify]: Extracting #1: cost 54 inf + 0 200.724 * * [simplify]: Extracting #2: cost 147 inf + 1 200.725 * * [simplify]: Extracting #3: cost 196 inf + 3 200.726 * * [simplify]: Extracting #4: cost 181 inf + 3199 200.728 * * [simplify]: Extracting #5: cost 134 inf + 12350 200.737 * * [simplify]: Extracting #6: cost 49 inf + 63285 200.755 * * [simplify]: Extracting #7: cost 0 inf + 100357 200.784 * * [simplify]: Extracting #8: cost 0 inf + 100105 200.814 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 200.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 200.814 * * * * [progress]: [ 172 / 315 ] simplifiying candidate # 200.814 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 200.814 * * [simplify]: iters left: 6 (17 enodes) 200.825 * * [simplify]: iters left: 5 (73 enodes) 200.853 * * [simplify]: iters left: 4 (117 enodes) 200.891 * * [simplify]: iters left: 3 (193 enodes) 200.964 * * [simplify]: iters left: 2 (376 enodes) 201.090 * * [simplify]: Extracting #0: cost 1 inf + 0 201.090 * * [simplify]: Extracting #1: cost 40 inf + 0 201.090 * * [simplify]: Extracting #2: cost 125 inf + 1 201.091 * * [simplify]: Extracting #3: cost 183 inf + 3 201.092 * * [simplify]: Extracting #4: cost 170 inf + 5654 201.100 * * [simplify]: Extracting #5: cost 71 inf + 45481 201.115 * * [simplify]: Extracting #6: cost 4 inf + 88275 201.129 * * [simplify]: Extracting #7: cost 0 inf + 90014 201.156 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 201.156 * [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)))))) 201.157 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 201.157 * * [simplify]: iters left: 6 (16 enodes) 201.167 * * [simplify]: iters left: 5 (68 enodes) 201.194 * * [simplify]: iters left: 4 (115 enodes) 201.233 * * [simplify]: iters left: 3 (196 enodes) 201.290 * * [simplify]: iters left: 2 (406 enodes) 201.450 * * [simplify]: Extracting #0: cost 1 inf + 0 201.450 * * [simplify]: Extracting #1: cost 40 inf + 0 201.451 * * [simplify]: Extracting #2: cost 119 inf + 1 201.452 * * [simplify]: Extracting #3: cost 178 inf + 3 201.453 * * [simplify]: Extracting #4: cost 185 inf + 345 201.457 * * [simplify]: Extracting #5: cost 141 inf + 9517 201.472 * * [simplify]: Extracting #6: cost 39 inf + 54380 201.497 * * [simplify]: Extracting #7: cost 3 inf + 81633 201.519 * * [simplify]: Extracting #8: cost 0 inf + 84328 201.533 * * [simplify]: Extracting #9: cost 0 inf + 84288 201.547 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 201.547 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 201.547 * * * * [progress]: [ 173 / 315 ] simplifiying candidate # 201.547 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 201.547 * * [simplify]: iters left: 6 (12 enodes) 201.553 * * [simplify]: iters left: 5 (51 enodes) 201.569 * * [simplify]: iters left: 4 (82 enodes) 201.592 * * [simplify]: iters left: 3 (131 enodes) 201.620 * * [simplify]: iters left: 2 (254 enodes) 201.694 * * [simplify]: Extracting #0: cost 1 inf + 0 201.694 * * [simplify]: Extracting #1: cost 22 inf + 0 201.694 * * [simplify]: Extracting #2: cost 88 inf + 3 201.695 * * [simplify]: Extracting #3: cost 132 inf + 6 201.700 * * [simplify]: Extracting #4: cost 129 inf + 302 201.702 * * [simplify]: Extracting #5: cost 84 inf + 5738 201.709 * * [simplify]: Extracting #6: cost 24 inf + 32911 201.721 * * [simplify]: Extracting #7: cost 0 inf + 48273 201.733 * * [simplify]: Extracting #8: cost 0 inf + 47125 201.746 * * [simplify]: Extracting #9: cost 0 inf + 46734 201.759 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 201.759 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 201.759 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 201.760 * * [simplify]: iters left: 6 (12 enodes) 201.768 * * [simplify]: iters left: 5 (50 enodes) 201.783 * * [simplify]: iters left: 4 (86 enodes) 201.798 * * [simplify]: iters left: 3 (149 enodes) 201.845 * * [simplify]: iters left: 2 (314 enodes) 201.994 * * [simplify]: Extracting #0: cost 1 inf + 0 201.994 * * [simplify]: Extracting #1: cost 45 inf + 0 201.995 * * [simplify]: Extracting #2: cost 128 inf + 1 201.996 * * [simplify]: Extracting #3: cost 171 inf + 127 201.997 * * [simplify]: Extracting #4: cost 164 inf + 1293 202.001 * * [simplify]: Extracting #5: cost 105 inf + 20609 202.010 * * [simplify]: Extracting #6: cost 17 inf + 71703 202.026 * * [simplify]: Extracting #7: cost 0 inf + 81242 202.046 * * [simplify]: Extracting #8: cost 0 inf + 79644 202.058 * * [simplify]: Extracting #9: cost 0 inf + 79404 202.070 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 202.070 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 202.070 * * * * [progress]: [ 174 / 315 ] simplifiying candidate # 202.070 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 202.070 * * [simplify]: iters left: 6 (17 enodes) 202.082 * * [simplify]: iters left: 5 (72 enodes) 202.107 * * [simplify]: iters left: 4 (112 enodes) 202.141 * * [simplify]: iters left: 3 (165 enodes) 202.182 * * [simplify]: iters left: 2 (267 enodes) 202.254 * * [simplify]: iters left: 1 (450 enodes) 202.422 * * [simplify]: Extracting #0: cost 1 inf + 0 202.422 * * [simplify]: Extracting #1: cost 6 inf + 0 202.422 * * [simplify]: Extracting #2: cost 9 inf + 1 202.422 * * [simplify]: Extracting #3: cost 36 inf + 1 202.423 * * [simplify]: Extracting #4: cost 113 inf + 2 202.423 * * [simplify]: Extracting #5: cost 182 inf + 176 202.424 * * [simplify]: Extracting #6: cost 174 inf + 1058 202.427 * * [simplify]: Extracting #7: cost 87 inf + 15918 202.436 * * [simplify]: Extracting #8: cost 13 inf + 58544 202.462 * * [simplify]: Extracting #9: cost 0 inf + 69662 202.476 * * [simplify]: Extracting #10: cost 0 inf + 68619 202.487 * [simplify]: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 202.487 * [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))))))) 202.488 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 202.488 * * [simplify]: iters left: 6 (15 enodes) 202.493 * * [simplify]: iters left: 5 (62 enodes) 202.503 * * [simplify]: iters left: 4 (98 enodes) 202.522 * * [simplify]: iters left: 3 (144 enodes) 202.567 * * [simplify]: iters left: 2 (255 enodes) 202.622 * * [simplify]: iters left: 1 (425 enodes) 202.728 * * [simplify]: Extracting #0: cost 1 inf + 0 202.728 * * [simplify]: Extracting #1: cost 7 inf + 0 202.728 * * [simplify]: Extracting #2: cost 12 inf + 1 202.728 * * [simplify]: Extracting #3: cost 36 inf + 84 202.728 * * [simplify]: Extracting #4: cost 110 inf + 167 202.729 * * [simplify]: Extracting #5: cost 155 inf + 839 202.731 * * [simplify]: Extracting #6: cost 107 inf + 7636 202.736 * * [simplify]: Extracting #7: cost 37 inf + 33910 202.746 * * [simplify]: Extracting #8: cost 3 inf + 64452 202.756 * * [simplify]: Extracting #9: cost 0 inf + 66926 202.767 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 202.767 * [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)))) 202.767 * * * * [progress]: [ 175 / 315 ] simplifiying candidate # 202.767 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 202.767 * * [simplify]: iters left: 6 (16 enodes) 202.774 * * [simplify]: iters left: 5 (67 enodes) 202.802 * * [simplify]: iters left: 4 (99 enodes) 202.831 * * [simplify]: iters left: 3 (140 enodes) 202.855 * * [simplify]: iters left: 2 (238 enodes) 202.900 * * [simplify]: iters left: 1 (419 enodes) 203.066 * * [simplify]: Extracting #0: cost 1 inf + 0 203.066 * * [simplify]: Extracting #1: cost 6 inf + 0 203.066 * * [simplify]: Extracting #2: cost 38 inf + 1 203.066 * * [simplify]: Extracting #3: cost 139 inf + 2 203.067 * * [simplify]: Extracting #4: cost 182 inf + 94 203.068 * * [simplify]: Extracting #5: cost 180 inf + 519 203.074 * * [simplify]: Extracting #6: cost 109 inf + 9810 203.082 * * [simplify]: Extracting #7: cost 27 inf + 55867 203.102 * * [simplify]: Extracting #8: cost 1 inf + 74908 203.123 * * [simplify]: Extracting #9: cost 0 inf + 74509 203.135 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) 203.135 * [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))))))) 203.135 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 203.136 * * [simplify]: iters left: 6 (15 enodes) 203.141 * * [simplify]: iters left: 5 (62 enodes) 203.155 * * [simplify]: iters left: 4 (99 enodes) 203.170 * * [simplify]: iters left: 3 (148 enodes) 203.213 * * [simplify]: iters left: 2 (265 enodes) 203.277 * * [simplify]: iters left: 1 (442 enodes) 203.466 * * [simplify]: Extracting #0: cost 1 inf + 0 203.466 * * [simplify]: Extracting #1: cost 7 inf + 0 203.466 * * [simplify]: Extracting #2: cost 13 inf + 1 203.466 * * [simplify]: Extracting #3: cost 38 inf + 84 203.466 * * [simplify]: Extracting #4: cost 123 inf + 167 203.467 * * [simplify]: Extracting #5: cost 162 inf + 1007 203.470 * * [simplify]: Extracting #6: cost 95 inf + 12291 203.477 * * [simplify]: Extracting #7: cost 22 inf + 46351 203.491 * * [simplify]: Extracting #8: cost 0 inf + 66171 203.509 * * [simplify]: Extracting #9: cost 0 inf + 64441 203.527 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 203.527 * [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)))) 203.527 * * * * [progress]: [ 176 / 315 ] simplifiying candidate # 203.527 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) 203.527 * * [simplify]: iters left: 5 (6 enodes) 203.531 * * [simplify]: iters left: 4 (22 enodes) 203.535 * * [simplify]: iters left: 3 (24 enodes) 203.538 * * [simplify]: Extracting #0: cost 1 inf + 0 203.538 * * [simplify]: Extracting #1: cost 0 inf + 1 203.538 * [simplify]: Simplified to 1 203.538 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 203.538 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 203.538 * * [simplify]: iters left: 6 (14 enodes) 203.543 * * [simplify]: iters left: 5 (59 enodes) 203.556 * * [simplify]: iters left: 4 (103 enodes) 203.589 * * [simplify]: iters left: 3 (167 enodes) 203.634 * * [simplify]: iters left: 2 (328 enodes) 203.765 * * [simplify]: Extracting #0: cost 1 inf + 0 203.765 * * [simplify]: Extracting #1: cost 55 inf + 0 203.766 * * [simplify]: Extracting #2: cost 154 inf + 1 203.767 * * [simplify]: Extracting #3: cost 200 inf + 168 203.770 * * [simplify]: Extracting #4: cost 186 inf + 3734 203.775 * * [simplify]: Extracting #5: cost 141 inf + 11840 203.797 * * [simplify]: Extracting #6: cost 45 inf + 71501 203.824 * * [simplify]: Extracting #7: cost 1 inf + 102846 203.839 * * [simplify]: Extracting #8: cost 0 inf + 101634 203.855 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 203.855 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 203.855 * * * * [progress]: [ 177 / 315 ] simplifiying candidate # 203.856 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 203.856 * * [simplify]: iters left: 6 (16 enodes) 203.869 * * [simplify]: iters left: 5 (70 enodes) 203.894 * * [simplify]: iters left: 4 (112 enodes) 203.934 * * [simplify]: iters left: 3 (179 enodes) 203.999 * * [simplify]: iters left: 2 (339 enodes) 204.102 * * [simplify]: Extracting #0: cost 1 inf + 0 204.102 * * [simplify]: Extracting #1: cost 19 inf + 0 204.102 * * [simplify]: Extracting #2: cost 95 inf + 2 204.103 * * [simplify]: Extracting #3: cost 143 inf + 177 204.103 * * [simplify]: Extracting #4: cost 145 inf + 391 204.105 * * [simplify]: Extracting #5: cost 96 inf + 5066 204.109 * * [simplify]: Extracting #6: cost 31 inf + 31092 204.117 * * [simplify]: Extracting #7: cost 0 inf + 51673 204.129 * * [simplify]: Extracting #8: cost 0 inf + 51189 204.143 * [simplify]: Simplified to (pow (* (* 2 PI) n) (- 1/4 (/ k 4))) 204.143 * [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)))))) 204.144 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 204.144 * * [simplify]: iters left: 6 (15 enodes) 204.153 * * [simplify]: iters left: 5 (65 enodes) 204.175 * * [simplify]: iters left: 4 (109 enodes) 204.211 * * [simplify]: iters left: 3 (183 enodes) 204.288 * * [simplify]: iters left: 2 (374 enodes) 204.422 * * [simplify]: Extracting #0: cost 1 inf + 0 204.422 * * [simplify]: Extracting #1: cost 42 inf + 0 204.423 * * [simplify]: Extracting #2: cost 135 inf + 1 204.424 * * [simplify]: Extracting #3: cost 185 inf + 127 204.427 * * [simplify]: Extracting #4: cost 173 inf + 4077 204.436 * * [simplify]: Extracting #5: cost 90 inf + 29613 204.455 * * [simplify]: Extracting #6: cost 5 inf + 88299 204.475 * * [simplify]: Extracting #7: cost 0 inf + 89709 204.505 * * [simplify]: Extracting #8: cost 0 inf + 89628 204.535 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 204.535 * [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)))) 204.535 * * * * [progress]: [ 178 / 315 ] simplifiying candidate # 204.536 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 204.536 * * [simplify]: iters left: 6 (13 enodes) 204.540 * * [simplify]: iters left: 5 (54 enodes) 204.550 * * [simplify]: iters left: 4 (90 enodes) 204.565 * * [simplify]: iters left: 3 (154 enodes) 204.628 * * [simplify]: iters left: 2 (313 enodes) 204.714 * * [simplify]: Extracting #0: cost 1 inf + 0 204.715 * * [simplify]: Extracting #1: cost 45 inf + 0 204.715 * * [simplify]: Extracting #2: cost 130 inf + 1 204.717 * * [simplify]: Extracting #3: cost 178 inf + 4 204.718 * * [simplify]: Extracting #4: cost 178 inf + 504 204.721 * * [simplify]: Extracting #5: cost 144 inf + 6814 204.731 * * [simplify]: Extracting #6: cost 53 inf + 47792 204.752 * * [simplify]: Extracting #7: cost 1 inf + 82006 204.774 * * [simplify]: Extracting #8: cost 0 inf + 81692 204.793 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 204.793 * [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)))))) 204.793 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 204.793 * * [simplify]: iters left: 6 (13 enodes) 204.798 * * [simplify]: iters left: 5 (53 enodes) 204.807 * * [simplify]: iters left: 4 (89 enodes) 204.831 * * [simplify]: iters left: 3 (148 enodes) 204.887 * * [simplify]: iters left: 2 (312 enodes) 205.025 * * [simplify]: Extracting #0: cost 1 inf + 0 205.025 * * [simplify]: Extracting #1: cost 42 inf + 0 205.025 * * [simplify]: Extracting #2: cost 120 inf + 1 205.026 * * [simplify]: Extracting #3: cost 167 inf + 3 205.027 * * [simplify]: Extracting #4: cost 162 inf + 753 205.028 * * [simplify]: Extracting #5: cost 130 inf + 5799 205.033 * * [simplify]: Extracting #6: cost 64 inf + 33798 205.044 * * [simplify]: Extracting #7: cost 7 inf + 74324 205.055 * * [simplify]: Extracting #8: cost 0 inf + 77090 205.067 * * [simplify]: Extracting #9: cost 0 inf + 76790 205.086 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 205.086 * [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))))) 205.086 * * * * [progress]: [ 179 / 315 ] simplifiying candidate # 205.086 * [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)))))) 205.086 * * [simplify]: iters left: 6 (18 enodes) 205.097 * * [simplify]: iters left: 5 (75 enodes) 205.115 * * [simplify]: iters left: 4 (113 enodes) 205.134 * * [simplify]: iters left: 3 (172 enodes) 205.192 * * [simplify]: iters left: 2 (291 enodes) 205.275 * * [simplify]: iters left: 1 (481 enodes) 205.452 * * [simplify]: Extracting #0: cost 1 inf + 0 205.452 * * [simplify]: Extracting #1: cost 10 inf + 0 205.452 * * [simplify]: Extracting #2: cost 18 inf + 1 205.452 * * [simplify]: Extracting #3: cost 49 inf + 1 205.452 * * [simplify]: Extracting #4: cost 129 inf + 328 205.453 * * [simplify]: Extracting #5: cost 183 inf + 997 205.456 * * [simplify]: Extracting #6: cost 125 inf + 11071 205.465 * * [simplify]: Extracting #7: cost 16 inf + 72254 205.477 * * [simplify]: Extracting #8: cost 0 inf + 81415 205.499 * * [simplify]: Extracting #9: cost 0 inf + 79654 205.523 * * [simplify]: Extracting #10: cost 0 inf + 78892 205.539 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 205.539 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 205.539 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 205.539 * * [simplify]: iters left: 6 (16 enodes) 205.545 * * [simplify]: iters left: 5 (65 enodes) 205.555 * * [simplify]: iters left: 4 (101 enodes) 205.579 * * [simplify]: iters left: 3 (147 enodes) 205.632 * * [simplify]: iters left: 2 (258 enodes) 205.684 * * [simplify]: iters left: 1 (428 enodes) 205.818 * * [simplify]: Extracting #0: cost 1 inf + 0 205.819 * * [simplify]: Extracting #1: cost 7 inf + 0 205.819 * * [simplify]: Extracting #2: cost 12 inf + 1 205.819 * * [simplify]: Extracting #3: cost 43 inf + 1 205.819 * * [simplify]: Extracting #4: cost 115 inf + 247 205.820 * * [simplify]: Extracting #5: cost 169 inf + 1578 205.823 * * [simplify]: Extracting #6: cost 99 inf + 14875 205.834 * * [simplify]: Extracting #7: cost 10 inf + 62355 205.854 * * [simplify]: Extracting #8: cost 0 inf + 68781 205.867 * * [simplify]: Extracting #9: cost 0 inf + 68500 205.884 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 205.885 * [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))))) 205.885 * * * * [progress]: [ 180 / 315 ] simplifiying candidate # 205.885 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 205.886 * * [simplify]: iters left: 6 (17 enodes) 205.896 * * [simplify]: iters left: 5 (70 enodes) 205.920 * * [simplify]: iters left: 4 (107 enodes) 205.953 * * [simplify]: iters left: 3 (158 enodes) 206.009 * * [simplify]: iters left: 2 (263 enodes) 206.075 * * [simplify]: iters left: 1 (435 enodes) 206.630 * * [simplify]: Extracting #0: cost 1 inf + 0 206.631 * * [simplify]: Extracting #1: cost 7 inf + 0 206.631 * * [simplify]: Extracting #2: cost 13 inf + 1 206.631 * * [simplify]: Extracting #3: cost 45 inf + 1 206.632 * * [simplify]: Extracting #4: cost 133 inf + 125 206.634 * * [simplify]: Extracting #5: cost 177 inf + 1537 206.639 * * [simplify]: Extracting #6: cost 98 inf + 13419 206.652 * * [simplify]: Extracting #7: cost 32 inf + 41442 206.663 * * [simplify]: Extracting #8: cost 0 inf + 70004 206.674 * * [simplify]: Extracting #9: cost 0 inf + 68323 206.692 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 206.692 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (* 2 n)) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 206.692 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 206.693 * * [simplify]: iters left: 6 (16 enodes) 206.702 * * [simplify]: iters left: 5 (65 enodes) 206.726 * * [simplify]: iters left: 4 (102 enodes) 206.742 * * [simplify]: iters left: 3 (148 enodes) 206.785 * * [simplify]: iters left: 2 (260 enodes) 206.879 * * [simplify]: iters left: 1 (424 enodes) 207.035 * * [simplify]: Extracting #0: cost 1 inf + 0 207.035 * * [simplify]: Extracting #1: cost 7 inf + 0 207.035 * * [simplify]: Extracting #2: cost 13 inf + 1 207.035 * * [simplify]: Extracting #3: cost 46 inf + 1 207.035 * * [simplify]: Extracting #4: cost 126 inf + 247 207.036 * * [simplify]: Extracting #5: cost 150 inf + 1576 207.039 * * [simplify]: Extracting #6: cost 78 inf + 16850 207.051 * * [simplify]: Extracting #7: cost 20 inf + 46952 207.067 * * [simplify]: Extracting #8: cost 0 inf + 64618 207.078 * * [simplify]: Extracting #9: cost 0 inf + 64418 207.089 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 207.089 * [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))))) 207.090 * * * * [progress]: [ 181 / 315 ] simplifiying candidate # 207.090 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) 207.090 * * [simplify]: iters left: 6 (8 enodes) 207.095 * * [simplify]: iters left: 5 (28 enodes) 207.104 * * [simplify]: iters left: 4 (30 enodes) 207.111 * * [simplify]: iters left: 3 (31 enodes) 207.119 * * [simplify]: Extracting #0: cost 1 inf + 0 207.119 * * [simplify]: Extracting #1: cost 4 inf + 0 207.119 * * [simplify]: Extracting #2: cost 5 inf + 1 207.119 * * [simplify]: Extracting #3: cost 7 inf + 1 207.119 * * [simplify]: Extracting #4: cost 3 inf + 165 207.119 * * [simplify]: Extracting #5: cost 0 inf + 490 207.119 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 207.119 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 207.120 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 207.120 * * [simplify]: iters left: 6 (15 enodes) 207.125 * * [simplify]: iters left: 5 (62 enodes) 207.135 * * [simplify]: iters left: 4 (102 enodes) 207.155 * * [simplify]: iters left: 3 (168 enodes) 207.208 * * [simplify]: iters left: 2 (350 enodes) 207.353 * * [simplify]: Extracting #0: cost 1 inf + 0 207.354 * * [simplify]: Extracting #1: cost 54 inf + 0 207.355 * * [simplify]: Extracting #2: cost 147 inf + 1 207.360 * * [simplify]: Extracting #3: cost 196 inf + 3 207.362 * * [simplify]: Extracting #4: cost 181 inf + 3199 207.367 * * [simplify]: Extracting #5: cost 134 inf + 12350 207.383 * * [simplify]: Extracting #6: cost 49 inf + 63285 207.407 * * [simplify]: Extracting #7: cost 0 inf + 100357 207.422 * * [simplify]: Extracting #8: cost 0 inf + 100105 207.442 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 207.442 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 207.442 * * * * [progress]: [ 182 / 315 ] simplifiying candidate # 207.442 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 207.443 * * [simplify]: iters left: 6 (17 enodes) 207.453 * * [simplify]: iters left: 5 (73 enodes) 207.477 * * [simplify]: iters left: 4 (117 enodes) 207.514 * * [simplify]: iters left: 3 (193 enodes) 207.567 * * [simplify]: iters left: 2 (376 enodes) 207.749 * * [simplify]: Extracting #0: cost 1 inf + 0 207.749 * * [simplify]: Extracting #1: cost 40 inf + 0 207.750 * * [simplify]: Extracting #2: cost 125 inf + 1 207.751 * * [simplify]: Extracting #3: cost 183 inf + 3 207.754 * * [simplify]: Extracting #4: cost 170 inf + 5654 207.765 * * [simplify]: Extracting #5: cost 71 inf + 45481 207.792 * * [simplify]: Extracting #6: cost 4 inf + 88275 207.820 * * [simplify]: Extracting #7: cost 0 inf + 90014 207.848 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 207.848 * [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)))))) 207.849 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 207.849 * * [simplify]: iters left: 6 (16 enodes) 207.859 * * [simplify]: iters left: 5 (68 enodes) 207.881 * * [simplify]: iters left: 4 (115 enodes) 207.902 * * [simplify]: iters left: 3 (196 enodes) 207.961 * * [simplify]: iters left: 2 (406 enodes) 208.165 * * [simplify]: Extracting #0: cost 1 inf + 0 208.165 * * [simplify]: Extracting #1: cost 40 inf + 0 208.166 * * [simplify]: Extracting #2: cost 119 inf + 1 208.166 * * [simplify]: Extracting #3: cost 178 inf + 3 208.167 * * [simplify]: Extracting #4: cost 185 inf + 345 208.169 * * [simplify]: Extracting #5: cost 141 inf + 9517 208.176 * * [simplify]: Extracting #6: cost 39 inf + 54380 208.189 * * [simplify]: Extracting #7: cost 3 inf + 81633 208.214 * * [simplify]: Extracting #8: cost 0 inf + 84328 208.230 * * [simplify]: Extracting #9: cost 0 inf + 84288 208.244 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 208.244 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 208.244 * * * * [progress]: [ 183 / 315 ] simplifiying candidate # 208.245 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) 208.245 * * [simplify]: iters left: 6 (11 enodes) 208.249 * * [simplify]: iters left: 5 (48 enodes) 208.257 * * [simplify]: iters left: 4 (75 enodes) 208.276 * * [simplify]: iters left: 3 (125 enodes) 208.320 * * [simplify]: iters left: 2 (260 enodes) 208.403 * * [simplify]: Extracting #0: cost 1 inf + 0 208.403 * * [simplify]: Extracting #1: cost 22 inf + 0 208.403 * * [simplify]: Extracting #2: cost 86 inf + 3 208.404 * * [simplify]: Extracting #3: cost 127 inf + 7 208.405 * * [simplify]: Extracting #4: cost 121 inf + 717 208.408 * * [simplify]: Extracting #5: cost 68 inf + 8660 208.416 * * [simplify]: Extracting #6: cost 28 inf + 26148 208.430 * * [simplify]: Extracting #7: cost 2 inf + 44112 208.443 * * [simplify]: Extracting #8: cost 0 inf + 44354 208.449 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 208.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 208.449 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 208.449 * * [simplify]: iters left: 6 (12 enodes) 208.454 * * [simplify]: iters left: 5 (50 enodes) 208.463 * * [simplify]: iters left: 4 (86 enodes) 208.483 * * [simplify]: iters left: 3 (149 enodes) 208.525 * * [simplify]: iters left: 2 (314 enodes) 208.662 * * [simplify]: Extracting #0: cost 1 inf + 0 208.662 * * [simplify]: Extracting #1: cost 45 inf + 0 208.663 * * [simplify]: Extracting #2: cost 128 inf + 1 208.664 * * [simplify]: Extracting #3: cost 171 inf + 127 208.666 * * [simplify]: Extracting #4: cost 164 inf + 1293 208.671 * * [simplify]: Extracting #5: cost 105 inf + 20609 208.691 * * [simplify]: Extracting #6: cost 17 inf + 71703 208.713 * * [simplify]: Extracting #7: cost 0 inf + 81242 208.725 * * [simplify]: Extracting #8: cost 0 inf + 79644 208.741 * * [simplify]: Extracting #9: cost 0 inf + 79404 208.763 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 208.763 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 208.763 * * * * [progress]: [ 184 / 315 ] simplifiying candidate # 208.764 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 208.764 * * [simplify]: iters left: 6 (16 enodes) 208.774 * * [simplify]: iters left: 5 (69 enodes) 208.798 * * [simplify]: iters left: 4 (102 enodes) 208.830 * * [simplify]: iters left: 3 (147 enodes) 208.884 * * [simplify]: iters left: 2 (246 enodes) 208.966 * * [simplify]: iters left: 1 (419 enodes) 209.124 * * [simplify]: Extracting #0: cost 1 inf + 0 209.124 * * [simplify]: Extracting #1: cost 6 inf + 0 209.125 * * [simplify]: Extracting #2: cost 9 inf + 1 209.125 * * [simplify]: Extracting #3: cost 37 inf + 1 209.125 * * [simplify]: Extracting #4: cost 112 inf + 2 209.127 * * [simplify]: Extracting #5: cost 165 inf + 176 209.128 * * [simplify]: Extracting #6: cost 169 inf + 393 209.132 * * [simplify]: Extracting #7: cost 102 inf + 10862 209.144 * * [simplify]: Extracting #8: cost 23 inf + 45032 209.166 * * [simplify]: Extracting #9: cost 0 inf + 64346 209.182 * * [simplify]: Extracting #10: cost 0 inf + 60606 209.203 * * [simplify]: Extracting #11: cost 0 inf + 59744 209.229 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k)))) (cbrt (pow (* n (* 2 PI)) (* 1/2 (- 1 k))))) 209.229 * [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))))))) 209.230 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 209.230 * * [simplify]: iters left: 6 (15 enodes) 209.235 * * [simplify]: iters left: 5 (62 enodes) 209.245 * * [simplify]: iters left: 4 (98 enodes) 209.274 * * [simplify]: iters left: 3 (144 enodes) 209.306 * * [simplify]: iters left: 2 (255 enodes) 209.365 * * [simplify]: iters left: 1 (425 enodes) 209.499 * * [simplify]: Extracting #0: cost 1 inf + 0 209.499 * * [simplify]: Extracting #1: cost 7 inf + 0 209.499 * * [simplify]: Extracting #2: cost 12 inf + 1 209.499 * * [simplify]: Extracting #3: cost 36 inf + 84 209.500 * * [simplify]: Extracting #4: cost 110 inf + 167 209.501 * * [simplify]: Extracting #5: cost 155 inf + 839 209.504 * * [simplify]: Extracting #6: cost 107 inf + 7636 209.513 * * [simplify]: Extracting #7: cost 37 inf + 33910 209.523 * * [simplify]: Extracting #8: cost 3 inf + 64452 209.533 * * [simplify]: Extracting #9: cost 0 inf + 66926 209.543 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 209.543 * [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)))) 209.543 * * * * [progress]: [ 185 / 315 ] simplifiying candidate # 209.544 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 209.544 * * [simplify]: iters left: 6 (15 enodes) 209.553 * * [simplify]: iters left: 5 (64 enodes) 209.575 * * [simplify]: iters left: 4 (96 enodes) 209.603 * * [simplify]: iters left: 3 (140 enodes) 209.646 * * [simplify]: iters left: 2 (243 enodes) 209.721 * * [simplify]: iters left: 1 (422 enodes) 209.839 * * [simplify]: Extracting #0: cost 1 inf + 0 209.839 * * [simplify]: Extracting #1: cost 6 inf + 0 209.839 * * [simplify]: Extracting #2: cost 35 inf + 1 209.840 * * [simplify]: Extracting #3: cost 118 inf + 2 209.840 * * [simplify]: Extracting #4: cost 168 inf + 178 209.841 * * [simplify]: Extracting #5: cost 170 inf + 435 209.843 * * [simplify]: Extracting #6: cost 126 inf + 4888 209.846 * * [simplify]: Extracting #7: cost 54 inf + 20601 209.855 * * [simplify]: Extracting #8: cost 9 inf + 56252 209.868 * * [simplify]: Extracting #9: cost 0 inf + 63230 209.892 * * [simplify]: Extracting #10: cost 0 inf + 62077 209.912 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 209.912 * [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))))))) 209.912 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 209.912 * * [simplify]: iters left: 6 (15 enodes) 209.922 * * [simplify]: iters left: 5 (62 enodes) 209.942 * * [simplify]: iters left: 4 (99 enodes) 209.972 * * [simplify]: iters left: 3 (148 enodes) 210.025 * * [simplify]: iters left: 2 (265 enodes) 210.093 * * [simplify]: iters left: 1 (442 enodes) 210.271 * * [simplify]: Extracting #0: cost 1 inf + 0 210.271 * * [simplify]: Extracting #1: cost 7 inf + 0 210.271 * * [simplify]: Extracting #2: cost 13 inf + 1 210.272 * * [simplify]: Extracting #3: cost 38 inf + 84 210.272 * * [simplify]: Extracting #4: cost 123 inf + 167 210.273 * * [simplify]: Extracting #5: cost 162 inf + 1007 210.276 * * [simplify]: Extracting #6: cost 95 inf + 12291 210.285 * * [simplify]: Extracting #7: cost 22 inf + 46351 210.296 * * [simplify]: Extracting #8: cost 0 inf + 66171 210.308 * * [simplify]: Extracting #9: cost 0 inf + 64441 210.321 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 210.321 * [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)))) 210.321 * * * * [progress]: [ 186 / 315 ] simplifiying candidate # 210.322 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) 210.322 * * [simplify]: iters left: 5 (5 enodes) 210.328 * * [simplify]: iters left: 4 (17 enodes) 210.332 * * [simplify]: iters left: 3 (19 enodes) 210.336 * * [simplify]: Extracting #0: cost 1 inf + 0 210.336 * * [simplify]: Extracting #1: cost 0 inf + 1 210.336 * [simplify]: Simplified to 1 210.336 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 210.337 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 210.337 * * [simplify]: iters left: 6 (14 enodes) 210.345 * * [simplify]: iters left: 5 (59 enodes) 210.365 * * [simplify]: iters left: 4 (103 enodes) 210.398 * * [simplify]: iters left: 3 (167 enodes) 210.469 * * [simplify]: iters left: 2 (328 enodes) 210.612 * * [simplify]: Extracting #0: cost 1 inf + 0 210.612 * * [simplify]: Extracting #1: cost 55 inf + 0 210.613 * * [simplify]: Extracting #2: cost 154 inf + 1 210.615 * * [simplify]: Extracting #3: cost 200 inf + 168 210.617 * * [simplify]: Extracting #4: cost 186 inf + 3734 210.622 * * [simplify]: Extracting #5: cost 141 inf + 11840 210.639 * * [simplify]: Extracting #6: cost 45 inf + 71501 210.655 * * [simplify]: Extracting #7: cost 1 inf + 102846 210.672 * * [simplify]: Extracting #8: cost 0 inf + 101634 210.697 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 210.697 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 210.697 * * * * [progress]: [ 187 / 315 ] simplifiying candidate # 210.697 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 210.698 * * [simplify]: iters left: 6 (15 enodes) 210.707 * * [simplify]: iters left: 5 (67 enodes) 210.730 * * [simplify]: iters left: 4 (104 enodes) 210.747 * * [simplify]: iters left: 3 (163 enodes) 210.780 * * [simplify]: iters left: 2 (306 enodes) 210.856 * * [simplify]: Extracting #0: cost 1 inf + 0 210.856 * * [simplify]: Extracting #1: cost 26 inf + 0 210.857 * * [simplify]: Extracting #2: cost 104 inf + 2 210.858 * * [simplify]: Extracting #3: cost 152 inf + 176 210.859 * * [simplify]: Extracting #4: cost 148 inf + 475 210.862 * * [simplify]: Extracting #5: cost 94 inf + 7516 210.869 * * [simplify]: Extracting #6: cost 48 inf + 23404 210.883 * * [simplify]: Extracting #7: cost 6 inf + 54907 210.895 * * [simplify]: Extracting #8: cost 0 inf + 58717 210.904 * * [simplify]: Extracting #9: cost 0 inf + 57536 210.913 * * [simplify]: Extracting #10: cost 0 inf + 57142 210.922 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 4)) 210.922 * [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)))))) 210.922 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 210.922 * * [simplify]: iters left: 6 (15 enodes) 210.932 * * [simplify]: iters left: 5 (65 enodes) 210.953 * * [simplify]: iters left: 4 (109 enodes) 210.991 * * [simplify]: iters left: 3 (183 enodes) 211.063 * * [simplify]: iters left: 2 (374 enodes) 211.230 * * [simplify]: Extracting #0: cost 1 inf + 0 211.230 * * [simplify]: Extracting #1: cost 42 inf + 0 211.230 * * [simplify]: Extracting #2: cost 135 inf + 1 211.231 * * [simplify]: Extracting #3: cost 185 inf + 127 211.232 * * [simplify]: Extracting #4: cost 173 inf + 4077 211.237 * * [simplify]: Extracting #5: cost 90 inf + 29613 211.251 * * [simplify]: Extracting #6: cost 5 inf + 88299 211.267 * * [simplify]: Extracting #7: cost 0 inf + 89709 211.282 * * [simplify]: Extracting #8: cost 0 inf + 89628 211.305 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 211.305 * [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)))) 211.305 * * * * [progress]: [ 188 / 315 ] simplifiying candidate # 211.305 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 211.305 * * [simplify]: iters left: 5 (4 enodes) 211.313 * * [simplify]: iters left: 4 (14 enodes) 211.316 * * [simplify]: iters left: 3 (16 enodes) 211.319 * * [simplify]: Extracting #0: cost 1 inf + 0 211.320 * * [simplify]: Extracting #1: cost 0 inf + 1 211.320 * [simplify]: Simplified to 1 211.320 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 211.320 * [simplify]: Simplifying (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 211.320 * * [simplify]: iters left: 6 (14 enodes) 211.328 * * [simplify]: iters left: 5 (59 enodes) 211.338 * * [simplify]: iters left: 4 (103 enodes) 211.355 * * [simplify]: iters left: 3 (167 enodes) 211.392 * * [simplify]: iters left: 2 (328 enodes) 211.537 * * [simplify]: Extracting #0: cost 1 inf + 0 211.538 * * [simplify]: Extracting #1: cost 55 inf + 0 211.538 * * [simplify]: Extracting #2: cost 154 inf + 1 211.540 * * [simplify]: Extracting #3: cost 200 inf + 168 211.542 * * [simplify]: Extracting #4: cost 186 inf + 3734 211.547 * * [simplify]: Extracting #5: cost 141 inf + 11840 211.565 * * [simplify]: Extracting #6: cost 45 inf + 71501 211.593 * * [simplify]: Extracting #7: cost 1 inf + 102846 211.625 * * [simplify]: Extracting #8: cost 0 inf + 101634 211.643 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 211.643 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 211.643 * * * * [progress]: [ 189 / 315 ] simplifiying candidate # 211.643 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) 211.643 * * [simplify]: iters left: 5 (6 enodes) 211.646 * * [simplify]: iters left: 4 (22 enodes) 211.650 * * [simplify]: iters left: 3 (24 enodes) 211.653 * * [simplify]: iters left: 2 (25 enodes) 211.656 * * [simplify]: iters left: 1 (26 enodes) 211.660 * * [simplify]: Extracting #0: cost 1 inf + 0 211.660 * * [simplify]: Extracting #1: cost 4 inf + 0 211.660 * * [simplify]: Extracting #2: cost 5 inf + 1 211.660 * * [simplify]: Extracting #3: cost 2 inf + 125 211.660 * * [simplify]: Extracting #4: cost 0 inf + 248 211.660 * [simplify]: Simplified to (/ 1 (sqrt k)) 211.660 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 211.661 * [simplify]: Simplifying (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 211.661 * * [simplify]: iters left: 6 (13 enodes) 211.665 * * [simplify]: iters left: 5 (56 enodes) 211.675 * * [simplify]: iters left: 4 (91 enodes) 211.690 * * [simplify]: iters left: 3 (141 enodes) 211.717 * * [simplify]: iters left: 2 (247 enodes) 211.775 * * [simplify]: Extracting #0: cost 1 inf + 0 211.775 * * [simplify]: Extracting #1: cost 29 inf + 0 211.779 * * [simplify]: Extracting #2: cost 99 inf + 2 211.780 * * [simplify]: Extracting #3: cost 136 inf + 174 211.781 * * [simplify]: Extracting #4: cost 129 inf + 680 211.784 * * [simplify]: Extracting #5: cost 86 inf + 6222 211.789 * * [simplify]: Extracting #6: cost 61 inf + 12328 211.799 * * [simplify]: Extracting #7: cost 11 inf + 44187 211.814 * * [simplify]: Extracting #8: cost 0 inf + 52402 211.829 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 211.829 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 211.829 * * * * [progress]: [ 190 / 315 ] simplifiying candidate # 211.830 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 211.830 * * [simplify]: iters left: 6 (14 enodes) 211.840 * * [simplify]: iters left: 5 (57 enodes) 211.861 * * [simplify]: iters left: 4 (96 enodes) 211.889 * * [simplify]: iters left: 3 (168 enodes) 211.923 * * [simplify]: iters left: 2 (305 enodes) 212.021 * * [simplify]: Extracting #0: cost 1 inf + 0 212.021 * * [simplify]: Extracting #1: cost 41 inf + 0 212.022 * * [simplify]: Extracting #2: cost 112 inf + 1 212.023 * * [simplify]: Extracting #3: cost 117 inf + 132 212.024 * * [simplify]: Extracting #4: cost 111 inf + 385 212.027 * * [simplify]: Extracting #5: cost 62 inf + 20117 212.034 * * [simplify]: Extracting #6: cost 2 inf + 59266 212.041 * * [simplify]: Extracting #7: cost 0 inf + 60770 212.049 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 212.049 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 212.049 * [simplify]: Simplifying (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2))) 212.049 * * [simplify]: iters left: 6 (11 enodes) 212.053 * * [simplify]: iters left: 5 (42 enodes) 212.060 * * [simplify]: iters left: 4 (66 enodes) 212.085 * * [simplify]: iters left: 3 (101 enodes) 212.116 * * [simplify]: iters left: 2 (171 enodes) 212.157 * * [simplify]: iters left: 1 (319 enodes) 212.286 * * [simplify]: Extracting #0: cost 1 inf + 0 212.286 * * [simplify]: Extracting #1: cost 6 inf + 0 212.287 * * [simplify]: Extracting #2: cost 40 inf + 1 212.287 * * [simplify]: Extracting #3: cost 129 inf + 2 212.288 * * [simplify]: Extracting #4: cost 155 inf + 596 212.292 * * [simplify]: Extracting #5: cost 88 inf + 13042 212.306 * * [simplify]: Extracting #6: cost 20 inf + 52461 212.325 * * [simplify]: Extracting #7: cost 0 inf + 69011 212.345 * * [simplify]: Extracting #8: cost 0 inf + 68931 212.365 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 212.365 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 212.365 * * * * [progress]: [ 191 / 315 ] simplifiying candidate # 212.366 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 212.366 * * [simplify]: iters left: 6 (16 enodes) 212.375 * * [simplify]: iters left: 5 (65 enodes) 212.396 * * [simplify]: iters left: 4 (101 enodes) 212.431 * * [simplify]: iters left: 3 (147 enodes) 212.482 * * [simplify]: iters left: 2 (249 enodes) 212.554 * * [simplify]: iters left: 1 (433 enodes) 212.709 * * [simplify]: Extracting #0: cost 1 inf + 0 212.709 * * [simplify]: Extracting #1: cost 7 inf + 0 212.709 * * [simplify]: Extracting #2: cost 11 inf + 1 212.709 * * [simplify]: Extracting #3: cost 16 inf + 1 212.709 * * [simplify]: Extracting #4: cost 52 inf + 1 212.710 * * [simplify]: Extracting #5: cost 143 inf + 85 212.711 * * [simplify]: Extracting #6: cost 192 inf + 1338 212.715 * * [simplify]: Extracting #7: cost 89 inf + 35275 212.732 * * [simplify]: Extracting #8: cost 9 inf + 73853 212.747 * * [simplify]: Extracting #9: cost 0 inf + 80130 212.760 * * [simplify]: Extracting #10: cost 0 inf + 79848 212.777 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))) 212.777 * [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))))))) 212.778 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 212.778 * * [simplify]: iters left: 6 (15 enodes) 212.787 * * [simplify]: iters left: 5 (60 enodes) 212.805 * * [simplify]: iters left: 4 (91 enodes) 212.833 * * [simplify]: iters left: 3 (135 enodes) 212.882 * * [simplify]: iters left: 2 (237 enodes) 212.965 * * [simplify]: iters left: 1 (422 enodes) 213.122 * * [simplify]: Extracting #0: cost 1 inf + 0 213.122 * * [simplify]: Extracting #1: cost 4 inf + 0 213.122 * * [simplify]: Extracting #2: cost 5 inf + 1 213.122 * * [simplify]: Extracting #3: cost 10 inf + 1 213.123 * * [simplify]: Extracting #4: cost 42 inf + 1 213.123 * * [simplify]: Extracting #5: cost 127 inf + 85 213.125 * * [simplify]: Extracting #6: cost 186 inf + 386 213.129 * * [simplify]: Extracting #7: cost 132 inf + 12008 213.148 * * [simplify]: Extracting #8: cost 23 inf + 59718 213.180 * * [simplify]: Extracting #9: cost 0 inf + 70102 213.203 * * [simplify]: Extracting #10: cost 0 inf + 67595 213.216 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 213.216 * [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))))))) 213.216 * * * * [progress]: [ 192 / 315 ] simplifiying candidate # 213.216 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 213.216 * * [simplify]: iters left: 6 (15 enodes) 213.223 * * [simplify]: iters left: 5 (60 enodes) 213.243 * * [simplify]: iters left: 4 (91 enodes) 213.257 * * [simplify]: iters left: 3 (135 enodes) 213.288 * * [simplify]: iters left: 2 (237 enodes) 213.370 * * [simplify]: iters left: 1 (422 enodes) 213.505 * * [simplify]: Extracting #0: cost 1 inf + 0 213.505 * * [simplify]: Extracting #1: cost 4 inf + 0 213.505 * * [simplify]: Extracting #2: cost 5 inf + 1 213.505 * * [simplify]: Extracting #3: cost 10 inf + 1 213.505 * * [simplify]: Extracting #4: cost 42 inf + 1 213.506 * * [simplify]: Extracting #5: cost 127 inf + 85 213.506 * * [simplify]: Extracting #6: cost 186 inf + 386 213.508 * * [simplify]: Extracting #7: cost 132 inf + 12008 213.519 * * [simplify]: Extracting #8: cost 23 inf + 59598 213.542 * * [simplify]: Extracting #9: cost 0 inf + 69942 213.567 * * [simplify]: Extracting #10: cost 0 inf + 67435 213.590 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 213.590 * [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))))))) 213.590 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 213.590 * * [simplify]: iters left: 6 (15 enodes) 213.594 * * [simplify]: iters left: 5 (60 enodes) 213.604 * * [simplify]: iters left: 4 (91 enodes) 213.620 * * [simplify]: iters left: 3 (135 enodes) 213.666 * * [simplify]: iters left: 2 (237 enodes) 213.711 * * [simplify]: iters left: 1 (422 enodes) 213.892 * * [simplify]: Extracting #0: cost 1 inf + 0 213.892 * * [simplify]: Extracting #1: cost 4 inf + 0 213.892 * * [simplify]: Extracting #2: cost 5 inf + 1 213.892 * * [simplify]: Extracting #3: cost 10 inf + 1 213.892 * * [simplify]: Extracting #4: cost 42 inf + 1 213.893 * * [simplify]: Extracting #5: cost 127 inf + 85 213.895 * * [simplify]: Extracting #6: cost 186 inf + 386 213.899 * * [simplify]: Extracting #7: cost 132 inf + 12008 213.918 * * [simplify]: Extracting #8: cost 23 inf + 59598 213.945 * * [simplify]: Extracting #9: cost 0 inf + 69942 213.971 * * [simplify]: Extracting #10: cost 0 inf + 67435 213.996 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 213.997 * [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))))))) 213.997 * * * * [progress]: [ 193 / 315 ] simplifiying candidate # 213.997 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 213.997 * * [simplify]: iters left: 6 (13 enodes) 214.005 * * [simplify]: iters left: 5 (54 enodes) 214.028 * * [simplify]: iters left: 4 (101 enodes) 214.058 * * [simplify]: iters left: 3 (201 enodes) 214.128 * * [simplify]: Extracting #0: cost 1 inf + 0 214.129 * * [simplify]: Extracting #1: cost 40 inf + 0 214.129 * * [simplify]: Extracting #2: cost 114 inf + 1 214.130 * * [simplify]: Extracting #3: cost 144 inf + 3 214.131 * * [simplify]: Extracting #4: cost 135 inf + 1029 214.135 * * [simplify]: Extracting #5: cost 77 inf + 16041 214.147 * * [simplify]: Extracting #6: cost 7 inf + 49115 214.162 * * [simplify]: Extracting #7: cost 0 inf + 52544 214.177 * * [simplify]: Extracting #8: cost 0 inf + 52463 214.192 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 214.192 * [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)))))) 214.192 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 214.192 * * [simplify]: iters left: 6 (13 enodes) 214.200 * * [simplify]: iters left: 5 (53 enodes) 214.218 * * [simplify]: iters left: 4 (89 enodes) 214.246 * * [simplify]: iters left: 3 (148 enodes) 214.285 * * [simplify]: iters left: 2 (312 enodes) 214.407 * * [simplify]: Extracting #0: cost 1 inf + 0 214.407 * * [simplify]: Extracting #1: cost 42 inf + 0 214.407 * * [simplify]: Extracting #2: cost 120 inf + 1 214.409 * * [simplify]: Extracting #3: cost 167 inf + 3 214.410 * * [simplify]: Extracting #4: cost 162 inf + 873 214.413 * * [simplify]: Extracting #5: cost 130 inf + 6079 214.422 * * [simplify]: Extracting #6: cost 64 inf + 34958 214.443 * * [simplify]: Extracting #7: cost 7 inf + 77044 214.455 * * [simplify]: Extracting #8: cost 0 inf + 80090 214.466 * * [simplify]: Extracting #9: cost 0 inf + 79790 214.480 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 214.480 * [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))))) 214.481 * * * * [progress]: [ 194 / 315 ] simplifiying candidate # 214.481 * [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)))))) 214.481 * * [simplify]: iters left: 6 (18 enodes) 214.491 * * [simplify]: iters left: 5 (77 enodes) 214.517 * * [simplify]: iters left: 4 (138 enodes) 214.561 * * [simplify]: iters left: 3 (228 enodes) 214.610 * * [simplify]: iters left: 2 (406 enodes) 214.767 * * [simplify]: Extracting #0: cost 1 inf + 0 214.767 * * [simplify]: Extracting #1: cost 17 inf + 0 214.768 * * [simplify]: Extracting #2: cost 31 inf + 1 214.768 * * [simplify]: Extracting #3: cost 46 inf + 1 214.769 * * [simplify]: Extracting #4: cost 84 inf + 1053 214.770 * * [simplify]: Extracting #5: cost 107 inf + 2083 214.774 * * [simplify]: Extracting #6: cost 55 inf + 16274 214.784 * * [simplify]: Extracting #7: cost 12 inf + 31555 214.794 * * [simplify]: Extracting #8: cost 1 inf + 38900 214.801 * * [simplify]: Extracting #9: cost 0 inf + 39176 214.807 * * [simplify]: Extracting #10: cost 0 inf + 39046 214.814 * [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)))) 214.814 * [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))))))) 214.814 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 214.814 * * [simplify]: iters left: 6 (16 enodes) 214.819 * * [simplify]: iters left: 5 (65 enodes) 214.835 * * [simplify]: iters left: 4 (101 enodes) 214.870 * * [simplify]: iters left: 3 (147 enodes) 214.922 * * [simplify]: iters left: 2 (258 enodes) 215.012 * * [simplify]: iters left: 1 (428 enodes) 215.164 * * [simplify]: Extracting #0: cost 1 inf + 0 215.164 * * [simplify]: Extracting #1: cost 7 inf + 0 215.164 * * [simplify]: Extracting #2: cost 12 inf + 1 215.164 * * [simplify]: Extracting #3: cost 43 inf + 1 215.165 * * [simplify]: Extracting #4: cost 115 inf + 327 215.165 * * [simplify]: Extracting #5: cost 169 inf + 1738 215.170 * * [simplify]: Extracting #6: cost 99 inf + 15115 215.186 * * [simplify]: Extracting #7: cost 10 inf + 62675 215.200 * * [simplify]: Extracting #8: cost 0 inf + 69101 215.225 * * [simplify]: Extracting #9: cost 0 inf + 68820 215.250 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 215.250 * [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))))) 215.251 * * * * [progress]: [ 195 / 315 ] simplifiying candidate # 215.251 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 215.251 * * [simplify]: iters left: 6 (17 enodes) 215.262 * * [simplify]: iters left: 5 (70 enodes) 215.284 * * [simplify]: iters left: 4 (115 enodes) 215.320 * * [simplify]: iters left: 3 (183 enodes) 215.388 * * [simplify]: iters left: 2 (326 enodes) 215.515 * * [simplify]: Extracting #0: cost 1 inf + 0 215.515 * * [simplify]: Extracting #1: cost 14 inf + 0 215.515 * * [simplify]: Extracting #2: cost 24 inf + 1 215.515 * * [simplify]: Extracting #3: cost 43 inf + 1 215.516 * * [simplify]: Extracting #4: cost 98 inf + 3 215.516 * * [simplify]: Extracting #5: cost 104 inf + 1531 215.518 * * [simplify]: Extracting #6: cost 44 inf + 15219 215.523 * * [simplify]: Extracting #7: cost 4 inf + 31678 215.529 * * [simplify]: Extracting #8: cost 0 inf + 34369 215.535 * * [simplify]: Extracting #9: cost 0 inf + 33747 215.540 * * [simplify]: Extracting #10: cost 0 inf + 33746 215.546 * [simplify]: Simplified to (/ (sqrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 215.546 * [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))))))) 215.546 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 215.546 * * [simplify]: iters left: 6 (16 enodes) 215.551 * * [simplify]: iters left: 5 (65 enodes) 215.565 * * [simplify]: iters left: 4 (102 enodes) 215.595 * * [simplify]: iters left: 3 (148 enodes) 215.621 * * [simplify]: iters left: 2 (260 enodes) 215.670 * * [simplify]: iters left: 1 (424 enodes) 215.770 * * [simplify]: Extracting #0: cost 1 inf + 0 215.771 * * [simplify]: Extracting #1: cost 7 inf + 0 215.771 * * [simplify]: Extracting #2: cost 13 inf + 1 215.771 * * [simplify]: Extracting #3: cost 46 inf + 1 215.771 * * [simplify]: Extracting #4: cost 126 inf + 327 215.772 * * [simplify]: Extracting #5: cost 150 inf + 1736 215.775 * * [simplify]: Extracting #6: cost 78 inf + 17130 215.788 * * [simplify]: Extracting #7: cost 20 inf + 47272 215.802 * * [simplify]: Extracting #8: cost 0 inf + 64938 215.812 * * [simplify]: Extracting #9: cost 0 inf + 64738 215.822 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 215.823 * [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))))) 215.823 * * * * [progress]: [ 196 / 315 ] simplifiying candidate # 215.823 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 215.823 * * [simplify]: iters left: 6 (8 enodes) 215.825 * * [simplify]: iters left: 5 (28 enodes) 215.834 * * [simplify]: iters left: 4 (52 enodes) 215.849 * * [simplify]: iters left: 3 (73 enodes) 215.872 * * [simplify]: iters left: 2 (82 enodes) 215.885 * * [simplify]: Extracting #0: cost 1 inf + 0 215.885 * * [simplify]: Extracting #1: cost 6 inf + 0 215.886 * * [simplify]: Extracting #2: cost 9 inf + 1 215.886 * * [simplify]: Extracting #3: cost 11 inf + 1 215.886 * * [simplify]: Extracting #4: cost 1 inf + 1214 215.886 * * [simplify]: Extracting #5: cost 0 inf + 1376 215.887 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 215.887 * [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)))))) 215.887 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 215.888 * * [simplify]: iters left: 6 (15 enodes) 215.897 * * [simplify]: iters left: 5 (62 enodes) 215.920 * * [simplify]: iters left: 4 (102 enodes) 215.951 * * [simplify]: iters left: 3 (168 enodes) 216.013 * * [simplify]: iters left: 2 (350 enodes) 216.146 * * [simplify]: Extracting #0: cost 1 inf + 0 216.147 * * [simplify]: Extracting #1: cost 54 inf + 0 216.148 * * [simplify]: Extracting #2: cost 147 inf + 1 216.149 * * [simplify]: Extracting #3: cost 196 inf + 3 216.151 * * [simplify]: Extracting #4: cost 181 inf + 3359 216.155 * * [simplify]: Extracting #5: cost 134 inf + 12750 216.172 * * [simplify]: Extracting #6: cost 49 inf + 65605 216.195 * * [simplify]: Extracting #7: cost 0 inf + 103757 216.210 * * [simplify]: Extracting #8: cost 0 inf + 103505 216.240 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 216.240 * [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))))) 216.241 * * * * [progress]: [ 197 / 315 ] simplifiying candidate # 216.241 * [simplify]: Simplifying (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 216.241 * * [simplify]: iters left: 6 (17 enodes) 216.251 * * [simplify]: iters left: 5 (73 enodes) 216.276 * * [simplify]: iters left: 4 (128 enodes) 216.315 * * [simplify]: iters left: 3 (244 enodes) 216.389 * * [simplify]: Extracting #0: cost 1 inf + 0 216.389 * * [simplify]: Extracting #1: cost 40 inf + 0 216.389 * * [simplify]: Extracting #2: cost 114 inf + 1 216.390 * * [simplify]: Extracting #3: cost 154 inf + 2 216.391 * * [simplify]: Extracting #4: cost 151 inf + 904 216.392 * * [simplify]: Extracting #5: cost 120 inf + 4819 216.396 * * [simplify]: Extracting #6: cost 54 inf + 30860 216.415 * * [simplify]: Extracting #7: cost 1 inf + 64211 216.434 * * [simplify]: Extracting #8: cost 0 inf + 64627 216.453 * [simplify]: Simplified to (/ (pow (* PI (* 2 n)) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 216.454 * [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)))))) 216.454 * [simplify]: Simplifying (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 216.454 * * [simplify]: iters left: 6 (16 enodes) 216.464 * * [simplify]: iters left: 5 (68 enodes) 216.491 * * [simplify]: iters left: 4 (115 enodes) 216.528 * * [simplify]: iters left: 3 (196 enodes) 216.579 * * [simplify]: iters left: 2 (406 enodes) 216.741 * * [simplify]: Extracting #0: cost 1 inf + 0 216.741 * * [simplify]: Extracting #1: cost 40 inf + 0 216.742 * * [simplify]: Extracting #2: cost 119 inf + 1 216.743 * * [simplify]: Extracting #3: cost 178 inf + 3 216.744 * * [simplify]: Extracting #4: cost 185 inf + 385 216.748 * * [simplify]: Extracting #5: cost 141 inf + 9797 216.759 * * [simplify]: Extracting #6: cost 39 inf + 56380 216.772 * * [simplify]: Extracting #7: cost 3 inf + 84473 216.794 * * [simplify]: Extracting #8: cost 0 inf + 87248 216.820 * * [simplify]: Extracting #9: cost 0 inf + 87208 216.834 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 216.834 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 216.834 * * * * [progress]: [ 198 / 315 ] simplifiying candidate # 216.834 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 216.834 * * [simplify]: iters left: 6 (13 enodes) 216.839 * * [simplify]: iters left: 5 (53 enodes) 216.849 * * [simplify]: iters left: 4 (89 enodes) 216.878 * * [simplify]: iters left: 3 (148 enodes) 216.941 * * [simplify]: iters left: 2 (312 enodes) 217.052 * * [simplify]: Extracting #0: cost 1 inf + 0 217.052 * * [simplify]: Extracting #1: cost 48 inf + 0 217.053 * * [simplify]: Extracting #2: cost 127 inf + 1 217.053 * * [simplify]: Extracting #3: cost 173 inf + 4 217.054 * * [simplify]: Extracting #4: cost 172 inf + 785 217.056 * * [simplify]: Extracting #5: cost 124 inf + 9724 217.061 * * [simplify]: Extracting #6: cost 50 inf + 45434 217.073 * * [simplify]: Extracting #7: cost 8 inf + 75750 217.093 * * [simplify]: Extracting #8: cost 0 inf + 78170 217.114 * * [simplify]: Extracting #9: cost 0 inf + 77869 217.127 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 217.127 * [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)))))) 217.128 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 217.128 * * [simplify]: iters left: 6 (13 enodes) 217.132 * * [simplify]: iters left: 5 (53 enodes) 217.141 * * [simplify]: iters left: 4 (89 enodes) 217.159 * * [simplify]: iters left: 3 (148 enodes) 217.194 * * [simplify]: iters left: 2 (312 enodes) 217.324 * * [simplify]: Extracting #0: cost 1 inf + 0 217.324 * * [simplify]: Extracting #1: cost 42 inf + 0 217.324 * * [simplify]: Extracting #2: cost 120 inf + 1 217.325 * * [simplify]: Extracting #3: cost 167 inf + 3 217.326 * * [simplify]: Extracting #4: cost 162 inf + 953 217.327 * * [simplify]: Extracting #5: cost 130 inf + 6159 217.332 * * [simplify]: Extracting #6: cost 64 inf + 35038 217.345 * * [simplify]: Extracting #7: cost 7 inf + 77124 217.361 * * [simplify]: Extracting #8: cost 0 inf + 80170 217.373 * * [simplify]: Extracting #9: cost 0 inf + 79870 217.384 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 217.384 * [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))))) 217.384 * * * * [progress]: [ 199 / 315 ] simplifiying candidate # 217.385 * [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)))))) 217.385 * * [simplify]: iters left: 6 (18 enodes) 217.393 * * [simplify]: iters left: 5 (74 enodes) 217.416 * * [simplify]: iters left: 4 (116 enodes) 217.443 * * [simplify]: iters left: 3 (179 enodes) 217.481 * * [simplify]: iters left: 2 (298 enodes) 217.559 * * [simplify]: iters left: 1 (497 enodes) 217.743 * * [simplify]: Extracting #0: cost 1 inf + 0 217.743 * * [simplify]: Extracting #1: cost 10 inf + 0 217.743 * * [simplify]: Extracting #2: cost 19 inf + 1 217.743 * * [simplify]: Extracting #3: cost 48 inf + 1 217.744 * * [simplify]: Extracting #4: cost 117 inf + 852 217.746 * * [simplify]: Extracting #5: cost 168 inf + 1438 217.751 * * [simplify]: Extracting #6: cost 108 inf + 10657 217.762 * * [simplify]: Extracting #7: cost 31 inf + 38855 217.782 * * [simplify]: Extracting #8: cost 1 inf + 65769 217.804 * * [simplify]: Extracting #9: cost 0 inf + 66807 217.820 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2))) (cbrt (pow (* PI (* 2 n)) (/ (- 1 k) 2)))) (fabs (cbrt k))) 217.820 * [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))))))) 217.820 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 217.821 * * [simplify]: iters left: 6 (16 enodes) 217.825 * * [simplify]: iters left: 5 (65 enodes) 217.836 * * [simplify]: iters left: 4 (101 enodes) 217.864 * * [simplify]: iters left: 3 (147 enodes) 217.916 * * [simplify]: iters left: 2 (258 enodes) 218.009 * * [simplify]: iters left: 1 (428 enodes) 218.168 * * [simplify]: Extracting #0: cost 1 inf + 0 218.168 * * [simplify]: Extracting #1: cost 7 inf + 0 218.168 * * [simplify]: Extracting #2: cost 12 inf + 1 218.169 * * [simplify]: Extracting #3: cost 43 inf + 1 218.169 * * [simplify]: Extracting #4: cost 115 inf + 407 218.170 * * [simplify]: Extracting #5: cost 169 inf + 1818 218.173 * * [simplify]: Extracting #6: cost 99 inf + 15195 218.183 * * [simplify]: Extracting #7: cost 10 inf + 62755 218.200 * * [simplify]: Extracting #8: cost 0 inf + 69181 218.213 * * [simplify]: Extracting #9: cost 0 inf + 68900 218.226 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 218.226 * [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))))) 218.226 * * * * [progress]: [ 200 / 315 ] simplifiying candidate # 218.226 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 218.226 * * [simplify]: iters left: 6 (17 enodes) 218.235 * * [simplify]: iters left: 5 (69 enodes) 218.256 * * [simplify]: iters left: 4 (106 enodes) 218.272 * * [simplify]: iters left: 3 (156 enodes) 218.314 * * [simplify]: iters left: 2 (270 enodes) 218.396 * * [simplify]: iters left: 1 (445 enodes) 218.536 * * [simplify]: Extracting #0: cost 1 inf + 0 218.536 * * [simplify]: Extracting #1: cost 7 inf + 0 218.536 * * [simplify]: Extracting #2: cost 14 inf + 1 218.536 * * [simplify]: Extracting #3: cost 46 inf + 1 218.537 * * [simplify]: Extracting #4: cost 124 inf + 811 218.538 * * [simplify]: Extracting #5: cost 168 inf + 1520 218.540 * * [simplify]: Extracting #6: cost 118 inf + 7396 218.544 * * [simplify]: Extracting #7: cost 54 inf + 24949 218.554 * * [simplify]: Extracting #8: cost 2 inf + 65641 218.569 * * [simplify]: Extracting #9: cost 0 inf + 66803 218.593 * * [simplify]: Extracting #10: cost 0 inf + 66601 218.616 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 218.616 * [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))))))) 218.616 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 218.617 * * [simplify]: iters left: 6 (16 enodes) 218.625 * * [simplify]: iters left: 5 (65 enodes) 218.646 * * [simplify]: iters left: 4 (102 enodes) 218.677 * * [simplify]: iters left: 3 (148 enodes) 218.733 * * [simplify]: iters left: 2 (260 enodes) 218.793 * * [simplify]: iters left: 1 (424 enodes) 218.928 * * [simplify]: Extracting #0: cost 1 inf + 0 218.928 * * [simplify]: Extracting #1: cost 7 inf + 0 218.928 * * [simplify]: Extracting #2: cost 13 inf + 1 218.928 * * [simplify]: Extracting #3: cost 46 inf + 1 218.928 * * [simplify]: Extracting #4: cost 126 inf + 407 218.929 * * [simplify]: Extracting #5: cost 150 inf + 1816 218.932 * * [simplify]: Extracting #6: cost 78 inf + 17210 218.940 * * [simplify]: Extracting #7: cost 20 inf + 47352 218.957 * * [simplify]: Extracting #8: cost 0 inf + 65018 218.976 * * [simplify]: Extracting #9: cost 0 inf + 64818 218.987 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 218.987 * [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))))) 218.987 * * * * [progress]: [ 201 / 315 ] simplifiying candidate # 218.987 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 218.988 * * [simplify]: iters left: 6 (8 enodes) 218.990 * * [simplify]: iters left: 5 (26 enodes) 218.995 * * [simplify]: iters left: 4 (32 enodes) 218.999 * * [simplify]: Extracting #0: cost 1 inf + 0 218.999 * * [simplify]: Extracting #1: cost 4 inf + 0 218.999 * * [simplify]: Extracting #2: cost 6 inf + 1 218.999 * * [simplify]: Extracting #3: cost 9 inf + 1 218.999 * * [simplify]: Extracting #4: cost 4 inf + 487 218.999 * * [simplify]: Extracting #5: cost 0 inf + 972 218.999 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 218.999 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 219.000 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 219.000 * * [simplify]: iters left: 6 (15 enodes) 219.011 * * [simplify]: iters left: 5 (62 enodes) 219.031 * * [simplify]: iters left: 4 (102 enodes) 219.054 * * [simplify]: iters left: 3 (168 enodes) 219.105 * * [simplify]: iters left: 2 (350 enodes) 219.253 * * [simplify]: Extracting #0: cost 1 inf + 0 219.253 * * [simplify]: Extracting #1: cost 54 inf + 0 219.254 * * [simplify]: Extracting #2: cost 147 inf + 1 219.255 * * [simplify]: Extracting #3: cost 196 inf + 3 219.257 * * [simplify]: Extracting #4: cost 181 inf + 3439 219.262 * * [simplify]: Extracting #5: cost 134 inf + 12830 219.278 * * [simplify]: Extracting #6: cost 49 inf + 65685 219.300 * * [simplify]: Extracting #7: cost 0 inf + 103837 219.315 * * [simplify]: Extracting #8: cost 0 inf + 103585 219.346 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 219.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 219.346 * * * * [progress]: [ 202 / 315 ] simplifiying candidate # 219.347 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 219.347 * * [simplify]: iters left: 6 (17 enodes) 219.358 * * [simplify]: iters left: 5 (72 enodes) 219.380 * * [simplify]: iters left: 4 (116 enodes) 219.418 * * [simplify]: iters left: 3 (191 enodes) 219.497 * * [simplify]: iters left: 2 (384 enodes) 219.683 * * [simplify]: Extracting #0: cost 1 inf + 0 219.684 * * [simplify]: Extracting #1: cost 40 inf + 0 219.684 * * [simplify]: Extracting #2: cost 131 inf + 1 219.685 * * [simplify]: Extracting #3: cost 191 inf + 3 219.687 * * [simplify]: Extracting #4: cost 184 inf + 3516 219.695 * * [simplify]: Extracting #5: cost 106 inf + 25491 219.717 * * [simplify]: Extracting #6: cost 14 inf + 84844 219.747 * * [simplify]: Extracting #7: cost 0 inf + 95836 219.761 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 219.761 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 219.762 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 219.762 * * [simplify]: iters left: 6 (16 enodes) 219.767 * * [simplify]: iters left: 5 (68 enodes) 219.778 * * [simplify]: iters left: 4 (115 enodes) 219.815 * * [simplify]: iters left: 3 (196 enodes) 219.898 * * [simplify]: iters left: 2 (406 enodes) 220.067 * * [simplify]: Extracting #0: cost 1 inf + 0 220.068 * * [simplify]: Extracting #1: cost 40 inf + 0 220.068 * * [simplify]: Extracting #2: cost 119 inf + 1 220.070 * * [simplify]: Extracting #3: cost 178 inf + 3 220.071 * * [simplify]: Extracting #4: cost 185 inf + 465 220.075 * * [simplify]: Extracting #5: cost 141 inf + 9877 220.090 * * [simplify]: Extracting #6: cost 39 inf + 56460 220.115 * * [simplify]: Extracting #7: cost 3 inf + 84553 220.141 * * [simplify]: Extracting #8: cost 0 inf + 87328 220.168 * * [simplify]: Extracting #9: cost 0 inf + 87288 220.194 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 220.194 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 220.194 * * * * [progress]: [ 203 / 315 ] simplifiying candidate # 220.195 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 220.195 * * [simplify]: iters left: 6 (12 enodes) 220.202 * * [simplify]: iters left: 5 (49 enodes) 220.213 * * [simplify]: iters left: 4 (85 enodes) 220.229 * * [simplify]: iters left: 3 (148 enodes) 220.291 * * [simplify]: iters left: 2 (320 enodes) 220.400 * * [simplify]: Extracting #0: cost 1 inf + 0 220.400 * * [simplify]: Extracting #1: cost 43 inf + 0 220.401 * * [simplify]: Extracting #2: cost 128 inf + 1 220.401 * * [simplify]: Extracting #3: cost 173 inf + 4 220.402 * * [simplify]: Extracting #4: cost 167 inf + 1166 220.404 * * [simplify]: Extracting #5: cost 116 inf + 11465 220.412 * * [simplify]: Extracting #6: cost 34 inf + 54907 220.422 * * [simplify]: Extracting #7: cost 0 inf + 79289 220.433 * * [simplify]: Extracting #8: cost 0 inf + 78474 220.444 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 220.444 * [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)))))) 220.445 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 220.445 * * [simplify]: iters left: 6 (13 enodes) 220.449 * * [simplify]: iters left: 5 (53 enodes) 220.464 * * [simplify]: iters left: 4 (89 enodes) 220.489 * * [simplify]: iters left: 3 (148 enodes) 220.526 * * [simplify]: iters left: 2 (312 enodes) 220.679 * * [simplify]: Extracting #0: cost 1 inf + 0 220.680 * * [simplify]: Extracting #1: cost 42 inf + 0 220.680 * * [simplify]: Extracting #2: cost 120 inf + 1 220.681 * * [simplify]: Extracting #3: cost 167 inf + 3 220.683 * * [simplify]: Extracting #4: cost 162 inf + 753 220.686 * * [simplify]: Extracting #5: cost 130 inf + 5799 220.695 * * [simplify]: Extracting #6: cost 64 inf + 33798 220.716 * * [simplify]: Extracting #7: cost 7 inf + 74324 220.738 * * [simplify]: Extracting #8: cost 0 inf + 77090 220.760 * * [simplify]: Extracting #9: cost 0 inf + 76790 220.782 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 220.782 * [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))))) 220.782 * * * * [progress]: [ 204 / 315 ] simplifiying candidate # 220.782 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 220.783 * * [simplify]: iters left: 6 (17 enodes) 220.792 * * [simplify]: iters left: 5 (70 enodes) 220.814 * * [simplify]: iters left: 4 (112 enodes) 220.846 * * [simplify]: iters left: 3 (174 enodes) 220.879 * * [simplify]: iters left: 2 (293 enodes) 220.975 * * [simplify]: iters left: 1 (484 enodes) 221.134 * * [simplify]: Extracting #0: cost 1 inf + 0 221.135 * * [simplify]: Extracting #1: cost 10 inf + 0 221.135 * * [simplify]: Extracting #2: cost 18 inf + 1 221.135 * * [simplify]: Extracting #3: cost 47 inf + 1 221.135 * * [simplify]: Extracting #4: cost 118 inf + 491 221.136 * * [simplify]: Extracting #5: cost 176 inf + 956 221.138 * * [simplify]: Extracting #6: cost 114 inf + 14632 221.146 * * [simplify]: Extracting #7: cost 18 inf + 57108 221.162 * * [simplify]: Extracting #8: cost 0 inf + 71351 221.173 * * [simplify]: Extracting #9: cost 0 inf + 70524 221.185 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) 221.185 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 221.186 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 221.186 * * [simplify]: iters left: 6 (16 enodes) 221.194 * * [simplify]: iters left: 5 (65 enodes) 221.219 * * [simplify]: iters left: 4 (101 enodes) 221.248 * * [simplify]: iters left: 3 (147 enodes) 221.275 * * [simplify]: iters left: 2 (258 enodes) 221.362 * * [simplify]: iters left: 1 (428 enodes) 221.478 * * [simplify]: Extracting #0: cost 1 inf + 0 221.478 * * [simplify]: Extracting #1: cost 7 inf + 0 221.479 * * [simplify]: Extracting #2: cost 12 inf + 1 221.479 * * [simplify]: Extracting #3: cost 43 inf + 1 221.479 * * [simplify]: Extracting #4: cost 115 inf + 247 221.481 * * [simplify]: Extracting #5: cost 169 inf + 1578 221.491 * * [simplify]: Extracting #6: cost 99 inf + 14875 221.510 * * [simplify]: Extracting #7: cost 10 inf + 62355 221.536 * * [simplify]: Extracting #8: cost 0 inf + 68781 221.561 * * [simplify]: Extracting #9: cost 0 inf + 68500 221.586 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 221.586 * [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))))) 221.586 * * * * [progress]: [ 205 / 315 ] simplifiying candidate # 221.586 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 221.586 * * [simplify]: iters left: 6 (16 enodes) 221.596 * * [simplify]: iters left: 5 (65 enodes) 221.616 * * [simplify]: iters left: 4 (102 enodes) 221.647 * * [simplify]: iters left: 3 (148 enodes) 221.703 * * [simplify]: iters left: 2 (260 enodes) 221.766 * * [simplify]: iters left: 1 (424 enodes) 221.930 * * [simplify]: Extracting #0: cost 1 inf + 0 221.930 * * [simplify]: Extracting #1: cost 7 inf + 0 221.931 * * [simplify]: Extracting #2: cost 13 inf + 1 221.931 * * [simplify]: Extracting #3: cost 46 inf + 1 221.932 * * [simplify]: Extracting #4: cost 126 inf + 247 221.933 * * [simplify]: Extracting #5: cost 150 inf + 1576 221.939 * * [simplify]: Extracting #6: cost 78 inf + 16850 221.954 * * [simplify]: Extracting #7: cost 20 inf + 46952 221.974 * * [simplify]: Extracting #8: cost 0 inf + 64618 221.994 * * [simplify]: Extracting #9: cost 0 inf + 64418 222.018 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 222.018 * [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))))))) 222.018 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 222.018 * * [simplify]: iters left: 6 (16 enodes) 222.025 * * [simplify]: iters left: 5 (65 enodes) 222.036 * * [simplify]: iters left: 4 (102 enodes) 222.051 * * [simplify]: iters left: 3 (148 enodes) 222.086 * * [simplify]: iters left: 2 (260 enodes) 222.155 * * [simplify]: iters left: 1 (424 enodes) 222.315 * * [simplify]: Extracting #0: cost 1 inf + 0 222.315 * * [simplify]: Extracting #1: cost 7 inf + 0 222.315 * * [simplify]: Extracting #2: cost 13 inf + 1 222.316 * * [simplify]: Extracting #3: cost 46 inf + 1 222.316 * * [simplify]: Extracting #4: cost 126 inf + 247 222.317 * * [simplify]: Extracting #5: cost 150 inf + 1576 222.321 * * [simplify]: Extracting #6: cost 78 inf + 16850 222.336 * * [simplify]: Extracting #7: cost 20 inf + 46952 222.356 * * [simplify]: Extracting #8: cost 0 inf + 64618 222.375 * * [simplify]: Extracting #9: cost 0 inf + 64418 222.385 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 222.386 * [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))))) 222.386 * * * * [progress]: [ 206 / 315 ] simplifiying candidate # 222.386 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 222.386 * * [simplify]: iters left: 6 (7 enodes) 222.389 * * [simplify]: iters left: 5 (23 enodes) 222.392 * * [simplify]: iters left: 4 (27 enodes) 222.396 * * [simplify]: iters left: 3 (28 enodes) 222.400 * * [simplify]: Extracting #0: cost 1 inf + 0 222.400 * * [simplify]: Extracting #1: cost 4 inf + 0 222.400 * * [simplify]: Extracting #2: cost 5 inf + 1 222.400 * * [simplify]: Extracting #3: cost 7 inf + 1 222.400 * * [simplify]: Extracting #4: cost 2 inf + 287 222.400 * * [simplify]: Extracting #5: cost 0 inf + 490 222.401 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 222.401 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 222.401 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 222.401 * * [simplify]: iters left: 6 (15 enodes) 222.408 * * [simplify]: iters left: 5 (62 enodes) 222.431 * * [simplify]: iters left: 4 (102 enodes) 222.464 * * [simplify]: iters left: 3 (168 enodes) 222.534 * * [simplify]: iters left: 2 (350 enodes) 222.648 * * [simplify]: Extracting #0: cost 1 inf + 0 222.648 * * [simplify]: Extracting #1: cost 54 inf + 0 222.649 * * [simplify]: Extracting #2: cost 147 inf + 1 222.650 * * [simplify]: Extracting #3: cost 196 inf + 3 222.652 * * [simplify]: Extracting #4: cost 181 inf + 3199 222.657 * * [simplify]: Extracting #5: cost 134 inf + 12350 222.673 * * [simplify]: Extracting #6: cost 49 inf + 63285 222.701 * * [simplify]: Extracting #7: cost 0 inf + 100357 222.729 * * [simplify]: Extracting #8: cost 0 inf + 100105 222.758 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 222.758 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 222.758 * * * * [progress]: [ 207 / 315 ] simplifiying candidate # 222.758 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 222.758 * * [simplify]: iters left: 6 (16 enodes) 222.772 * * [simplify]: iters left: 5 (68 enodes) 222.794 * * [simplify]: iters left: 4 (115 enodes) 222.832 * * [simplify]: iters left: 3 (196 enodes) 222.916 * * [simplify]: iters left: 2 (406 enodes) 223.086 * * [simplify]: Extracting #0: cost 1 inf + 0 223.086 * * [simplify]: Extracting #1: cost 40 inf + 0 223.087 * * [simplify]: Extracting #2: cost 119 inf + 1 223.088 * * [simplify]: Extracting #3: cost 178 inf + 3 223.090 * * [simplify]: Extracting #4: cost 185 inf + 345 223.093 * * [simplify]: Extracting #5: cost 141 inf + 9517 223.107 * * [simplify]: Extracting #6: cost 39 inf + 54380 223.137 * * [simplify]: Extracting #7: cost 3 inf + 81633 223.163 * * [simplify]: Extracting #8: cost 0 inf + 84328 223.189 * * [simplify]: Extracting #9: cost 0 inf + 84288 223.215 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 223.215 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 223.216 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 223.216 * * [simplify]: iters left: 6 (16 enodes) 223.226 * * [simplify]: iters left: 5 (68 enodes) 223.249 * * [simplify]: iters left: 4 (115 enodes) 223.271 * * [simplify]: iters left: 3 (196 enodes) 223.342 * * [simplify]: iters left: 2 (406 enodes) 223.524 * * [simplify]: Extracting #0: cost 1 inf + 0 223.524 * * [simplify]: Extracting #1: cost 40 inf + 0 223.525 * * [simplify]: Extracting #2: cost 119 inf + 1 223.526 * * [simplify]: Extracting #3: cost 178 inf + 3 223.527 * * [simplify]: Extracting #4: cost 185 inf + 345 223.531 * * [simplify]: Extracting #5: cost 141 inf + 9517 223.545 * * [simplify]: Extracting #6: cost 39 inf + 54380 223.570 * * [simplify]: Extracting #7: cost 3 inf + 81633 223.597 * * [simplify]: Extracting #8: cost 0 inf + 84328 223.624 * * [simplify]: Extracting #9: cost 0 inf + 84288 223.653 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 223.653 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 223.654 * * * * [progress]: [ 208 / 315 ] simplifiying candidate # 223.654 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 223.654 * * [simplify]: iters left: 6 (10 enodes) 223.661 * * [simplify]: iters left: 5 (43 enodes) 223.675 * * [simplify]: iters left: 4 (66 enodes) 223.697 * * [simplify]: iters left: 3 (113 enodes) 223.740 * * [simplify]: iters left: 2 (235 enodes) 223.818 * * [simplify]: Extracting #0: cost 1 inf + 0 223.818 * * [simplify]: Extracting #1: cost 28 inf + 0 223.819 * * [simplify]: Extracting #2: cost 92 inf + 3 223.819 * * [simplify]: Extracting #3: cost 132 inf + 6 223.820 * * [simplify]: Extracting #4: cost 128 inf + 679 223.821 * * [simplify]: Extracting #5: cost 66 inf + 12205 223.826 * * [simplify]: Extracting #6: cost 8 inf + 40448 223.832 * * [simplify]: Extracting #7: cost 0 inf + 45879 223.838 * * [simplify]: Extracting #8: cost 0 inf + 45838 223.844 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 223.844 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 223.844 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 223.844 * * [simplify]: iters left: 6 (12 enodes) 223.849 * * [simplify]: iters left: 5 (50 enodes) 223.862 * * [simplify]: iters left: 4 (86 enodes) 223.881 * * [simplify]: iters left: 3 (149 enodes) 223.915 * * [simplify]: iters left: 2 (314 enodes) 224.033 * * [simplify]: Extracting #0: cost 1 inf + 0 224.033 * * [simplify]: Extracting #1: cost 45 inf + 0 224.033 * * [simplify]: Extracting #2: cost 128 inf + 1 224.034 * * [simplify]: Extracting #3: cost 171 inf + 127 224.035 * * [simplify]: Extracting #4: cost 164 inf + 1293 224.038 * * [simplify]: Extracting #5: cost 105 inf + 20609 224.049 * * [simplify]: Extracting #6: cost 17 inf + 71703 224.073 * * [simplify]: Extracting #7: cost 0 inf + 81242 224.097 * * [simplify]: Extracting #8: cost 0 inf + 79644 224.121 * * [simplify]: Extracting #9: cost 0 inf + 79404 224.145 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 224.145 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 224.145 * * * * [progress]: [ 209 / 315 ] simplifiying candidate # 224.146 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 224.146 * * [simplify]: iters left: 6 (15 enodes) 224.153 * * [simplify]: iters left: 5 (64 enodes) 224.167 * * [simplify]: iters left: 4 (102 enodes) 224.184 * * [simplify]: iters left: 3 (153 enodes) 224.214 * * [simplify]: iters left: 2 (243 enodes) 224.297 * * [simplify]: iters left: 1 (429 enodes) 224.482 * * [simplify]: Extracting #0: cost 1 inf + 0 224.483 * * [simplify]: Extracting #1: cost 6 inf + 0 224.483 * * [simplify]: Extracting #2: cost 9 inf + 1 224.483 * * [simplify]: Extracting #3: cost 38 inf + 1 224.484 * * [simplify]: Extracting #4: cost 113 inf + 2 224.485 * * [simplify]: Extracting #5: cost 165 inf + 176 224.486 * * [simplify]: Extracting #6: cost 169 inf + 435 224.490 * * [simplify]: Extracting #7: cost 107 inf + 10797 224.501 * * [simplify]: Extracting #8: cost 43 inf + 31817 224.520 * * [simplify]: Extracting #9: cost 8 inf + 58848 224.544 * * [simplify]: Extracting #10: cost 0 inf + 66144 224.568 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 224.568 * [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))))))) 224.568 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 224.569 * * [simplify]: iters left: 6 (15 enodes) 224.579 * * [simplify]: iters left: 5 (62 enodes) 224.594 * * [simplify]: iters left: 4 (98 enodes) 224.613 * * [simplify]: iters left: 3 (144 enodes) 224.654 * * [simplify]: iters left: 2 (255 enodes) 224.709 * * [simplify]: iters left: 1 (425 enodes) 224.882 * * [simplify]: Extracting #0: cost 1 inf + 0 224.882 * * [simplify]: Extracting #1: cost 7 inf + 0 224.883 * * [simplify]: Extracting #2: cost 12 inf + 1 224.883 * * [simplify]: Extracting #3: cost 36 inf + 84 224.883 * * [simplify]: Extracting #4: cost 110 inf + 167 224.885 * * [simplify]: Extracting #5: cost 155 inf + 839 224.889 * * [simplify]: Extracting #6: cost 107 inf + 7636 224.898 * * [simplify]: Extracting #7: cost 37 inf + 33910 224.917 * * [simplify]: Extracting #8: cost 3 inf + 64452 224.940 * * [simplify]: Extracting #9: cost 0 inf + 66926 224.961 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 224.961 * [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)))) 224.961 * * * * [progress]: [ 210 / 315 ] simplifiying candidate # 224.961 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 224.961 * * [simplify]: iters left: 6 (14 enodes) 224.971 * * [simplify]: iters left: 5 (59 enodes) 224.990 * * [simplify]: iters left: 4 (93 enodes) 225.013 * * [simplify]: iters left: 3 (136 enodes) 225.035 * * [simplify]: iters left: 2 (219 enodes) 225.093 * * [simplify]: iters left: 1 (399 enodes) 225.241 * * [simplify]: Extracting #0: cost 1 inf + 0 225.241 * * [simplify]: Extracting #1: cost 6 inf + 0 225.241 * * [simplify]: Extracting #2: cost 39 inf + 1 225.242 * * [simplify]: Extracting #3: cost 125 inf + 2 225.243 * * [simplify]: Extracting #4: cost 173 inf + 177 225.244 * * [simplify]: Extracting #5: cost 160 inf + 1386 225.250 * * [simplify]: Extracting #6: cost 74 inf + 15273 225.258 * * [simplify]: Extracting #7: cost 17 inf + 52135 225.269 * * [simplify]: Extracting #8: cost 0 inf + 65696 225.281 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 225.281 * [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))))))) 225.282 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 225.282 * * [simplify]: iters left: 6 (15 enodes) 225.291 * * [simplify]: iters left: 5 (62 enodes) 225.310 * * [simplify]: iters left: 4 (99 enodes) 225.331 * * [simplify]: iters left: 3 (148 enodes) 225.368 * * [simplify]: iters left: 2 (265 enodes) 225.458 * * [simplify]: iters left: 1 (442 enodes) 225.599 * * [simplify]: Extracting #0: cost 1 inf + 0 225.599 * * [simplify]: Extracting #1: cost 7 inf + 0 225.600 * * [simplify]: Extracting #2: cost 13 inf + 1 225.600 * * [simplify]: Extracting #3: cost 38 inf + 84 225.601 * * [simplify]: Extracting #4: cost 123 inf + 167 225.602 * * [simplify]: Extracting #5: cost 162 inf + 1007 225.607 * * [simplify]: Extracting #6: cost 95 inf + 12291 225.626 * * [simplify]: Extracting #7: cost 22 inf + 46351 225.647 * * [simplify]: Extracting #8: cost 0 inf + 66171 225.668 * * [simplify]: Extracting #9: cost 0 inf + 64441 225.689 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 225.689 * [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)))) 225.689 * * * * [progress]: [ 211 / 315 ] simplifiying candidate # 225.690 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) 1)) 225.690 * * [simplify]: iters left: 5 (4 enodes) 225.696 * * [simplify]: iters left: 4 (14 enodes) 225.699 * * [simplify]: iters left: 3 (16 enodes) 225.702 * * [simplify]: Extracting #0: cost 1 inf + 0 225.702 * * [simplify]: Extracting #1: cost 0 inf + 1 225.702 * [simplify]: Simplified to 1 225.702 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 225.703 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 225.703 * * [simplify]: iters left: 6 (14 enodes) 225.711 * * [simplify]: iters left: 5 (59 enodes) 225.730 * * [simplify]: iters left: 4 (103 enodes) 225.765 * * [simplify]: iters left: 3 (167 enodes) 225.818 * * [simplify]: iters left: 2 (328 enodes) 225.928 * * [simplify]: Extracting #0: cost 1 inf + 0 225.928 * * [simplify]: Extracting #1: cost 55 inf + 0 225.929 * * [simplify]: Extracting #2: cost 154 inf + 1 225.930 * * [simplify]: Extracting #3: cost 200 inf + 168 225.932 * * [simplify]: Extracting #4: cost 186 inf + 3734 225.937 * * [simplify]: Extracting #5: cost 141 inf + 11840 225.960 * * [simplify]: Extracting #6: cost 45 inf + 71501 225.988 * * [simplify]: Extracting #7: cost 1 inf + 102846 226.017 * * [simplify]: Extracting #8: cost 0 inf + 101634 226.031 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 226.031 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 226.031 * * * * [progress]: [ 212 / 315 ] simplifiying candidate # 226.031 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 226.031 * * [simplify]: iters left: 6 (14 enodes) 226.037 * * [simplify]: iters left: 5 (62 enodes) 226.048 * * [simplify]: iters left: 4 (103 enodes) 226.080 * * [simplify]: iters left: 3 (170 enodes) 226.121 * * [simplify]: iters left: 2 (312 enodes) 226.259 * * [simplify]: Extracting #0: cost 1 inf + 0 226.259 * * [simplify]: Extracting #1: cost 25 inf + 0 226.259 * * [simplify]: Extracting #2: cost 99 inf + 2 226.260 * * [simplify]: Extracting #3: cost 146 inf + 176 226.262 * * [simplify]: Extracting #4: cost 145 inf + 558 226.265 * * [simplify]: Extracting #5: cost 91 inf + 7324 226.276 * * [simplify]: Extracting #6: cost 15 inf + 41604 226.291 * * [simplify]: Extracting #7: cost 0 inf + 50830 226.307 * * [simplify]: Extracting #8: cost 0 inf + 50528 226.323 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 226.323 * [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)))))) 226.324 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 226.324 * * [simplify]: iters left: 6 (15 enodes) 226.333 * * [simplify]: iters left: 5 (65 enodes) 226.358 * * [simplify]: iters left: 4 (109 enodes) 226.376 * * [simplify]: iters left: 3 (183 enodes) 226.436 * * [simplify]: iters left: 2 (374 enodes) 226.600 * * [simplify]: Extracting #0: cost 1 inf + 0 226.601 * * [simplify]: Extracting #1: cost 42 inf + 0 226.601 * * [simplify]: Extracting #2: cost 135 inf + 1 226.603 * * [simplify]: Extracting #3: cost 185 inf + 127 226.605 * * [simplify]: Extracting #4: cost 173 inf + 4077 226.615 * * [simplify]: Extracting #5: cost 90 inf + 29613 226.641 * * [simplify]: Extracting #6: cost 5 inf + 88299 226.657 * * [simplify]: Extracting #7: cost 0 inf + 89709 226.682 * * [simplify]: Extracting #8: cost 0 inf + 89628 226.713 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 226.713 * [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)))) 226.713 * * * * [progress]: [ 213 / 315 ] simplifiying candidate # 226.714 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 226.714 * * [simplify]: iters left: 6 (12 enodes) 226.722 * * [simplify]: iters left: 5 (49 enodes) 226.736 * * [simplify]: iters left: 4 (85 enodes) 226.751 * * [simplify]: iters left: 3 (148 enodes) 226.807 * * [simplify]: iters left: 2 (320 enodes) 226.926 * * [simplify]: Extracting #0: cost 1 inf + 0 226.926 * * [simplify]: Extracting #1: cost 43 inf + 0 226.927 * * [simplify]: Extracting #2: cost 128 inf + 1 226.927 * * [simplify]: Extracting #3: cost 173 inf + 4 226.928 * * [simplify]: Extracting #4: cost 167 inf + 1166 226.930 * * [simplify]: Extracting #5: cost 116 inf + 11465 226.937 * * [simplify]: Extracting #6: cost 34 inf + 54907 226.948 * * [simplify]: Extracting #7: cost 0 inf + 79289 226.962 * * [simplify]: Extracting #8: cost 0 inf + 78474 226.975 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 226.975 * [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)))))) 226.976 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 226.976 * * [simplify]: iters left: 6 (13 enodes) 226.984 * * [simplify]: iters left: 5 (53 enodes) 227.003 * * [simplify]: iters left: 4 (89 enodes) 227.023 * * [simplify]: iters left: 3 (148 enodes) 227.054 * * [simplify]: iters left: 2 (312 enodes) 227.213 * * [simplify]: Extracting #0: cost 1 inf + 0 227.213 * * [simplify]: Extracting #1: cost 42 inf + 0 227.214 * * [simplify]: Extracting #2: cost 120 inf + 1 227.214 * * [simplify]: Extracting #3: cost 167 inf + 3 227.215 * * [simplify]: Extracting #4: cost 162 inf + 753 227.217 * * [simplify]: Extracting #5: cost 130 inf + 5799 227.221 * * [simplify]: Extracting #6: cost 64 inf + 33798 227.233 * * [simplify]: Extracting #7: cost 7 inf + 74324 227.255 * * [simplify]: Extracting #8: cost 0 inf + 77090 227.272 * * [simplify]: Extracting #9: cost 0 inf + 76790 227.287 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 227.287 * [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))))) 227.287 * * * * [progress]: [ 214 / 315 ] simplifiying candidate # 227.287 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 227.287 * * [simplify]: iters left: 6 (17 enodes) 227.295 * * [simplify]: iters left: 5 (70 enodes) 227.318 * * [simplify]: iters left: 4 (112 enodes) 227.353 * * [simplify]: iters left: 3 (174 enodes) 227.417 * * [simplify]: iters left: 2 (293 enodes) 227.522 * * [simplify]: iters left: 1 (484 enodes) 227.751 * * [simplify]: Extracting #0: cost 1 inf + 0 227.751 * * [simplify]: Extracting #1: cost 10 inf + 0 227.751 * * [simplify]: Extracting #2: cost 18 inf + 1 227.752 * * [simplify]: Extracting #3: cost 47 inf + 1 227.752 * * [simplify]: Extracting #4: cost 118 inf + 491 227.754 * * [simplify]: Extracting #5: cost 176 inf + 956 227.759 * * [simplify]: Extracting #6: cost 114 inf + 14632 227.774 * * [simplify]: Extracting #7: cost 18 inf + 57108 227.797 * * [simplify]: Extracting #8: cost 0 inf + 71351 227.819 * * [simplify]: Extracting #9: cost 0 inf + 70524 227.831 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) 227.831 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 227.831 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 227.831 * * [simplify]: iters left: 6 (16 enodes) 227.836 * * [simplify]: iters left: 5 (65 enodes) 227.849 * * [simplify]: iters left: 4 (101 enodes) 227.881 * * [simplify]: iters left: 3 (147 enodes) 227.914 * * [simplify]: iters left: 2 (258 enodes) 227.969 * * [simplify]: iters left: 1 (428 enodes) 228.156 * * [simplify]: Extracting #0: cost 1 inf + 0 228.156 * * [simplify]: Extracting #1: cost 7 inf + 0 228.156 * * [simplify]: Extracting #2: cost 12 inf + 1 228.156 * * [simplify]: Extracting #3: cost 43 inf + 1 228.157 * * [simplify]: Extracting #4: cost 115 inf + 247 228.158 * * [simplify]: Extracting #5: cost 169 inf + 1578 228.163 * * [simplify]: Extracting #6: cost 99 inf + 14875 228.173 * * [simplify]: Extracting #7: cost 10 inf + 62355 228.186 * * [simplify]: Extracting #8: cost 0 inf + 68781 228.205 * * [simplify]: Extracting #9: cost 0 inf + 68500 228.230 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 228.230 * [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))))) 228.231 * * * * [progress]: [ 215 / 315 ] simplifiying candidate # 228.231 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 228.231 * * [simplify]: iters left: 6 (16 enodes) 228.244 * * [simplify]: iters left: 5 (65 enodes) 228.256 * * [simplify]: iters left: 4 (102 enodes) 228.272 * * [simplify]: iters left: 3 (148 enodes) 228.318 * * [simplify]: iters left: 2 (260 enodes) 228.410 * * [simplify]: iters left: 1 (424 enodes) 228.563 * * [simplify]: Extracting #0: cost 1 inf + 0 228.564 * * [simplify]: Extracting #1: cost 7 inf + 0 228.564 * * [simplify]: Extracting #2: cost 13 inf + 1 228.564 * * [simplify]: Extracting #3: cost 46 inf + 1 228.564 * * [simplify]: Extracting #4: cost 126 inf + 247 228.565 * * [simplify]: Extracting #5: cost 150 inf + 1576 228.572 * * [simplify]: Extracting #6: cost 78 inf + 16850 228.579 * * [simplify]: Extracting #7: cost 20 inf + 46952 228.589 * * [simplify]: Extracting #8: cost 0 inf + 64618 228.600 * * [simplify]: Extracting #9: cost 0 inf + 64418 228.617 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 228.617 * [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))))))) 228.617 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 228.617 * * [simplify]: iters left: 6 (16 enodes) 228.627 * * [simplify]: iters left: 5 (65 enodes) 228.648 * * [simplify]: iters left: 4 (102 enodes) 228.680 * * [simplify]: iters left: 3 (148 enodes) 228.742 * * [simplify]: iters left: 2 (260 enodes) 228.831 * * [simplify]: iters left: 1 (424 enodes) 228.994 * * [simplify]: Extracting #0: cost 1 inf + 0 228.994 * * [simplify]: Extracting #1: cost 7 inf + 0 228.994 * * [simplify]: Extracting #2: cost 13 inf + 1 228.995 * * [simplify]: Extracting #3: cost 46 inf + 1 228.995 * * [simplify]: Extracting #4: cost 126 inf + 247 228.997 * * [simplify]: Extracting #5: cost 150 inf + 1576 229.003 * * [simplify]: Extracting #6: cost 78 inf + 16850 229.017 * * [simplify]: Extracting #7: cost 20 inf + 46952 229.026 * * [simplify]: Extracting #8: cost 0 inf + 64618 229.037 * * [simplify]: Extracting #9: cost 0 inf + 64418 229.056 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 229.056 * [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))))) 229.056 * * * * [progress]: [ 216 / 315 ] simplifiying candidate # 229.057 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) 229.057 * * [simplify]: iters left: 6 (7 enodes) 229.062 * * [simplify]: iters left: 5 (23 enodes) 229.070 * * [simplify]: iters left: 4 (27 enodes) 229.077 * * [simplify]: iters left: 3 (28 enodes) 229.084 * * [simplify]: Extracting #0: cost 1 inf + 0 229.084 * * [simplify]: Extracting #1: cost 4 inf + 0 229.084 * * [simplify]: Extracting #2: cost 5 inf + 1 229.084 * * [simplify]: Extracting #3: cost 7 inf + 1 229.085 * * [simplify]: Extracting #4: cost 2 inf + 287 229.085 * * [simplify]: Extracting #5: cost 0 inf + 490 229.085 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 229.085 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 229.086 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 229.086 * * [simplify]: iters left: 6 (15 enodes) 229.095 * * [simplify]: iters left: 5 (62 enodes) 229.112 * * [simplify]: iters left: 4 (102 enodes) 229.129 * * [simplify]: iters left: 3 (168 enodes) 229.191 * * [simplify]: iters left: 2 (350 enodes) 229.341 * * [simplify]: Extracting #0: cost 1 inf + 0 229.341 * * [simplify]: Extracting #1: cost 54 inf + 0 229.342 * * [simplify]: Extracting #2: cost 147 inf + 1 229.343 * * [simplify]: Extracting #3: cost 196 inf + 3 229.345 * * [simplify]: Extracting #4: cost 181 inf + 3199 229.350 * * [simplify]: Extracting #5: cost 134 inf + 12350 229.366 * * [simplify]: Extracting #6: cost 49 inf + 63285 229.397 * * [simplify]: Extracting #7: cost 0 inf + 100357 229.426 * * [simplify]: Extracting #8: cost 0 inf + 100105 229.454 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 229.454 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 229.454 * * * * [progress]: [ 217 / 315 ] simplifiying candidate # 229.455 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 229.455 * * [simplify]: iters left: 6 (16 enodes) 229.465 * * [simplify]: iters left: 5 (68 enodes) 229.487 * * [simplify]: iters left: 4 (115 enodes) 229.527 * * [simplify]: iters left: 3 (196 enodes) 229.610 * * [simplify]: iters left: 2 (406 enodes) 229.785 * * [simplify]: Extracting #0: cost 1 inf + 0 229.785 * * [simplify]: Extracting #1: cost 40 inf + 0 229.785 * * [simplify]: Extracting #2: cost 119 inf + 1 229.786 * * [simplify]: Extracting #3: cost 178 inf + 3 229.787 * * [simplify]: Extracting #4: cost 185 inf + 345 229.789 * * [simplify]: Extracting #5: cost 141 inf + 9517 229.796 * * [simplify]: Extracting #6: cost 39 inf + 54380 229.818 * * [simplify]: Extracting #7: cost 3 inf + 81633 229.832 * * [simplify]: Extracting #8: cost 0 inf + 84328 229.846 * * [simplify]: Extracting #9: cost 0 inf + 84288 229.872 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 229.872 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))) 229.872 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 229.873 * * [simplify]: iters left: 6 (16 enodes) 229.885 * * [simplify]: iters left: 5 (68 enodes) 229.908 * * [simplify]: iters left: 4 (115 enodes) 229.937 * * [simplify]: iters left: 3 (196 enodes) 229.999 * * [simplify]: iters left: 2 (406 enodes) 230.139 * * [simplify]: Extracting #0: cost 1 inf + 0 230.139 * * [simplify]: Extracting #1: cost 40 inf + 0 230.140 * * [simplify]: Extracting #2: cost 119 inf + 1 230.140 * * [simplify]: Extracting #3: cost 178 inf + 3 230.141 * * [simplify]: Extracting #4: cost 185 inf + 345 230.143 * * [simplify]: Extracting #5: cost 141 inf + 9517 230.150 * * [simplify]: Extracting #6: cost 39 inf + 54380 230.166 * * [simplify]: Extracting #7: cost 3 inf + 81633 230.186 * * [simplify]: Extracting #8: cost 0 inf + 84328 230.214 * * [simplify]: Extracting #9: cost 0 inf + 84288 230.241 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 230.241 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 230.241 * * * * [progress]: [ 218 / 315 ] simplifiying candidate # 230.242 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) 230.242 * * [simplify]: iters left: 6 (10 enodes) 230.248 * * [simplify]: iters left: 5 (43 enodes) 230.263 * * [simplify]: iters left: 4 (66 enodes) 230.281 * * [simplify]: iters left: 3 (113 enodes) 230.306 * * [simplify]: iters left: 2 (235 enodes) 230.375 * * [simplify]: Extracting #0: cost 1 inf + 0 230.375 * * [simplify]: Extracting #1: cost 28 inf + 0 230.376 * * [simplify]: Extracting #2: cost 92 inf + 3 230.377 * * [simplify]: Extracting #3: cost 132 inf + 6 230.378 * * [simplify]: Extracting #4: cost 128 inf + 679 230.381 * * [simplify]: Extracting #5: cost 66 inf + 12205 230.395 * * [simplify]: Extracting #6: cost 8 inf + 40448 230.405 * * [simplify]: Extracting #7: cost 0 inf + 45879 230.411 * * [simplify]: Extracting #8: cost 0 inf + 45838 230.417 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 230.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 230.417 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 230.418 * * [simplify]: iters left: 6 (12 enodes) 230.423 * * [simplify]: iters left: 5 (50 enodes) 230.432 * * [simplify]: iters left: 4 (86 enodes) 230.447 * * [simplify]: iters left: 3 (149 enodes) 230.485 * * [simplify]: iters left: 2 (314 enodes) 230.609 * * [simplify]: Extracting #0: cost 1 inf + 0 230.609 * * [simplify]: Extracting #1: cost 45 inf + 0 230.610 * * [simplify]: Extracting #2: cost 128 inf + 1 230.610 * * [simplify]: Extracting #3: cost 171 inf + 127 230.611 * * [simplify]: Extracting #4: cost 164 inf + 1293 230.614 * * [simplify]: Extracting #5: cost 105 inf + 20609 230.627 * * [simplify]: Extracting #6: cost 17 inf + 71703 230.651 * * [simplify]: Extracting #7: cost 0 inf + 81242 230.679 * * [simplify]: Extracting #8: cost 0 inf + 79644 230.703 * * [simplify]: Extracting #9: cost 0 inf + 79404 230.726 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 230.727 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 230.727 * * * * [progress]: [ 219 / 315 ] simplifiying candidate # 230.727 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 230.727 * * [simplify]: iters left: 6 (15 enodes) 230.738 * * [simplify]: iters left: 5 (64 enodes) 230.752 * * [simplify]: iters left: 4 (99 enodes) 230.768 * * [simplify]: iters left: 3 (146 enodes) 230.809 * * [simplify]: iters left: 2 (233 enodes) 230.894 * * [simplify]: iters left: 1 (420 enodes) 231.059 * * [simplify]: Extracting #0: cost 1 inf + 0 231.059 * * [simplify]: Extracting #1: cost 6 inf + 0 231.059 * * [simplify]: Extracting #2: cost 9 inf + 1 231.059 * * [simplify]: Extracting #3: cost 35 inf + 1 231.060 * * [simplify]: Extracting #4: cost 108 inf + 2 231.060 * * [simplify]: Extracting #5: cost 159 inf + 176 231.061 * * [simplify]: Extracting #6: cost 163 inf + 435 231.063 * * [simplify]: Extracting #7: cost 104 inf + 8436 231.070 * * [simplify]: Extracting #8: cost 60 inf + 18377 231.087 * * [simplify]: Extracting #9: cost 14 inf + 53336 231.106 * * [simplify]: Extracting #10: cost 0 inf + 64575 231.118 * * [simplify]: Extracting #11: cost 0 inf + 63677 231.132 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 231.132 * [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))))))) 231.132 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 231.133 * * [simplify]: iters left: 6 (15 enodes) 231.138 * * [simplify]: iters left: 5 (62 enodes) 231.148 * * [simplify]: iters left: 4 (98 enodes) 231.163 * * [simplify]: iters left: 3 (144 enodes) 231.206 * * [simplify]: iters left: 2 (255 enodes) 231.289 * * [simplify]: iters left: 1 (425 enodes) 231.430 * * [simplify]: Extracting #0: cost 1 inf + 0 231.430 * * [simplify]: Extracting #1: cost 7 inf + 0 231.430 * * [simplify]: Extracting #2: cost 12 inf + 1 231.431 * * [simplify]: Extracting #3: cost 36 inf + 84 231.431 * * [simplify]: Extracting #4: cost 110 inf + 167 231.432 * * [simplify]: Extracting #5: cost 155 inf + 839 231.434 * * [simplify]: Extracting #6: cost 107 inf + 7636 231.439 * * [simplify]: Extracting #7: cost 37 inf + 33910 231.449 * * [simplify]: Extracting #8: cost 3 inf + 64452 231.459 * * [simplify]: Extracting #9: cost 0 inf + 66926 231.474 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt k)) 231.475 * [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)))) 231.475 * * * * [progress]: [ 220 / 315 ] simplifiying candidate # 231.475 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 231.475 * * [simplify]: iters left: 6 (14 enodes) 231.484 * * [simplify]: iters left: 5 (59 enodes) 231.504 * * [simplify]: iters left: 4 (93 enodes) 231.529 * * [simplify]: iters left: 3 (136 enodes) 231.558 * * [simplify]: iters left: 2 (219 enodes) 231.613 * * [simplify]: iters left: 1 (399 enodes) 231.786 * * [simplify]: Extracting #0: cost 1 inf + 0 231.786 * * [simplify]: Extracting #1: cost 6 inf + 0 231.786 * * [simplify]: Extracting #2: cost 39 inf + 1 231.787 * * [simplify]: Extracting #3: cost 125 inf + 2 231.788 * * [simplify]: Extracting #4: cost 173 inf + 177 231.790 * * [simplify]: Extracting #5: cost 160 inf + 1386 231.796 * * [simplify]: Extracting #6: cost 74 inf + 15273 231.810 * * [simplify]: Extracting #7: cost 17 inf + 52135 231.829 * * [simplify]: Extracting #8: cost 0 inf + 65696 231.851 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 231.852 * [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))))))) 231.852 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 231.852 * * [simplify]: iters left: 6 (15 enodes) 231.858 * * [simplify]: iters left: 5 (62 enodes) 231.868 * * [simplify]: iters left: 4 (99 enodes) 231.886 * * [simplify]: iters left: 3 (148 enodes) 231.940 * * [simplify]: iters left: 2 (265 enodes) 232.009 * * [simplify]: iters left: 1 (442 enodes) 232.188 * * [simplify]: Extracting #0: cost 1 inf + 0 232.188 * * [simplify]: Extracting #1: cost 7 inf + 0 232.188 * * [simplify]: Extracting #2: cost 13 inf + 1 232.188 * * [simplify]: Extracting #3: cost 38 inf + 84 232.189 * * [simplify]: Extracting #4: cost 123 inf + 167 232.191 * * [simplify]: Extracting #5: cost 162 inf + 1007 232.196 * * [simplify]: Extracting #6: cost 95 inf + 12291 232.210 * * [simplify]: Extracting #7: cost 22 inf + 46351 232.231 * * [simplify]: Extracting #8: cost 0 inf + 66171 232.253 * * [simplify]: Extracting #9: cost 0 inf + 64441 232.265 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k)) 232.265 * [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)))) 232.265 * * * * [progress]: [ 221 / 315 ] simplifiying candidate # 232.265 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 1)) 232.265 * * [simplify]: iters left: 4 (4 enodes) 232.269 * * [simplify]: iters left: 3 (12 enodes) 232.271 * * [simplify]: iters left: 2 (14 enodes) 232.273 * * [simplify]: Extracting #0: cost 1 inf + 0 232.273 * * [simplify]: Extracting #1: cost 0 inf + 1 232.273 * [simplify]: Simplified to 1 232.273 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 232.274 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 232.274 * * [simplify]: iters left: 6 (14 enodes) 232.281 * * [simplify]: iters left: 5 (59 enodes) 232.296 * * [simplify]: iters left: 4 (103 enodes) 232.315 * * [simplify]: iters left: 3 (167 enodes) 232.357 * * [simplify]: iters left: 2 (328 enodes) 232.513 * * [simplify]: Extracting #0: cost 1 inf + 0 232.514 * * [simplify]: Extracting #1: cost 55 inf + 0 232.514 * * [simplify]: Extracting #2: cost 154 inf + 1 232.515 * * [simplify]: Extracting #3: cost 200 inf + 168 232.516 * * [simplify]: Extracting #4: cost 186 inf + 3734 232.518 * * [simplify]: Extracting #5: cost 141 inf + 11840 232.527 * * [simplify]: Extracting #6: cost 45 inf + 71501 232.552 * * [simplify]: Extracting #7: cost 1 inf + 102846 232.568 * * [simplify]: Extracting #8: cost 0 inf + 101634 232.584 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 232.584 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 232.584 * * * * [progress]: [ 222 / 315 ] simplifiying candidate # 232.585 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 232.585 * * [simplify]: iters left: 6 (14 enodes) 232.590 * * [simplify]: iters left: 5 (62 enodes) 232.601 * * [simplify]: iters left: 4 (103 enodes) 232.618 * * [simplify]: iters left: 3 (170 enodes) 232.649 * * [simplify]: iters left: 2 (312 enodes) 232.763 * * [simplify]: Extracting #0: cost 1 inf + 0 232.763 * * [simplify]: Extracting #1: cost 25 inf + 0 232.763 * * [simplify]: Extracting #2: cost 99 inf + 2 232.764 * * [simplify]: Extracting #3: cost 146 inf + 176 232.765 * * [simplify]: Extracting #4: cost 145 inf + 558 232.766 * * [simplify]: Extracting #5: cost 91 inf + 7324 232.774 * * [simplify]: Extracting #6: cost 15 inf + 41604 232.788 * * [simplify]: Extracting #7: cost 0 inf + 50830 232.797 * * [simplify]: Extracting #8: cost 0 inf + 50528 232.805 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 232.805 * [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)))))) 232.805 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 232.806 * * [simplify]: iters left: 6 (15 enodes) 232.811 * * [simplify]: iters left: 5 (65 enodes) 232.821 * * [simplify]: iters left: 4 (109 enodes) 232.855 * * [simplify]: iters left: 3 (183 enodes) 232.894 * * [simplify]: iters left: 2 (374 enodes) 233.064 * * [simplify]: Extracting #0: cost 1 inf + 0 233.064 * * [simplify]: Extracting #1: cost 42 inf + 0 233.065 * * [simplify]: Extracting #2: cost 135 inf + 1 233.067 * * [simplify]: Extracting #3: cost 185 inf + 127 233.069 * * [simplify]: Extracting #4: cost 173 inf + 4077 233.083 * * [simplify]: Extracting #5: cost 90 inf + 29613 233.101 * * [simplify]: Extracting #6: cost 5 inf + 88299 233.116 * * [simplify]: Extracting #7: cost 0 inf + 89709 233.139 * * [simplify]: Extracting #8: cost 0 inf + 89628 233.155 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt k)) 233.155 * [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)))) 233.155 * * * * [progress]: [ 223 / 315 ] simplifiying candidate # 233.155 * [simplify]: Simplifying (/ (sqrt 1) 1) 233.155 * * [simplify]: iters left: 3 (3 enodes) 233.159 * * [simplify]: iters left: 2 (9 enodes) 233.162 * * [simplify]: iters left: 1 (11 enodes) 233.165 * * [simplify]: Extracting #0: cost 1 inf + 0 233.165 * * [simplify]: Extracting #1: cost 0 inf + 1 233.165 * [simplify]: Simplified to 1 233.165 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 233.165 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 233.166 * * [simplify]: iters left: 6 (14 enodes) 233.175 * * [simplify]: iters left: 5 (59 enodes) 233.197 * * [simplify]: iters left: 4 (103 enodes) 233.221 * * [simplify]: iters left: 3 (167 enodes) 233.266 * * [simplify]: iters left: 2 (328 enodes) 233.402 * * [simplify]: Extracting #0: cost 1 inf + 0 233.402 * * [simplify]: Extracting #1: cost 55 inf + 0 233.403 * * [simplify]: Extracting #2: cost 154 inf + 1 233.404 * * [simplify]: Extracting #3: cost 200 inf + 168 233.406 * * [simplify]: Extracting #4: cost 186 inf + 3734 233.410 * * [simplify]: Extracting #5: cost 141 inf + 11840 233.428 * * [simplify]: Extracting #6: cost 45 inf + 71501 233.456 * * [simplify]: Extracting #7: cost 1 inf + 102846 233.485 * * [simplify]: Extracting #8: cost 0 inf + 101634 233.513 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)) 233.513 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))) 233.513 * * * * [progress]: [ 224 / 315 ] simplifiying candidate # 233.514 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 233.514 * * [simplify]: iters left: 3 (5 enodes) 233.517 * * [simplify]: iters left: 2 (17 enodes) 233.520 * * [simplify]: iters left: 1 (19 enodes) 233.522 * * [simplify]: Extracting #0: cost 1 inf + 0 233.522 * * [simplify]: Extracting #1: cost 4 inf + 0 233.522 * * [simplify]: Extracting #2: cost 5 inf + 1 233.522 * * [simplify]: Extracting #3: cost 0 inf + 248 233.523 * [simplify]: Simplified to (/ 1 (sqrt k)) 233.523 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 233.523 * [simplify]: Simplifying (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 233.523 * * [simplify]: iters left: 6 (13 enodes) 233.529 * * [simplify]: iters left: 5 (56 enodes) 233.538 * * [simplify]: iters left: 4 (91 enodes) 233.561 * * [simplify]: iters left: 3 (141 enodes) 233.593 * * [simplify]: iters left: 2 (247 enodes) 233.666 * * [simplify]: Extracting #0: cost 1 inf + 0 233.666 * * [simplify]: Extracting #1: cost 29 inf + 0 233.667 * * [simplify]: Extracting #2: cost 99 inf + 2 233.667 * * [simplify]: Extracting #3: cost 136 inf + 174 233.668 * * [simplify]: Extracting #4: cost 129 inf + 680 233.669 * * [simplify]: Extracting #5: cost 86 inf + 6222 233.672 * * [simplify]: Extracting #6: cost 61 inf + 12328 233.682 * * [simplify]: Extracting #7: cost 11 inf + 44187 233.696 * * [simplify]: Extracting #8: cost 0 inf + 52402 233.712 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 233.712 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 233.712 * * * * [progress]: [ 225 / 315 ] simplifiying candidate # 233.713 * [simplify]: Simplifying (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 233.713 * * [simplify]: iters left: 6 (13 enodes) 233.721 * * [simplify]: iters left: 5 (51 enodes) 233.738 * * [simplify]: iters left: 4 (88 enodes) 233.770 * * [simplify]: iters left: 3 (155 enodes) 233.807 * * [simplify]: iters left: 2 (306 enodes) 233.971 * * [simplify]: Extracting #0: cost 1 inf + 0 233.972 * * [simplify]: Extracting #1: cost 41 inf + 0 233.972 * * [simplify]: Extracting #2: cost 108 inf + 1 233.973 * * [simplify]: Extracting #3: cost 107 inf + 255 233.974 * * [simplify]: Extracting #4: cost 101 inf + 973 233.979 * * [simplify]: Extracting #5: cost 52 inf + 23081 233.991 * * [simplify]: Extracting #6: cost 0 inf + 54204 234.004 * [simplify]: Simplified to (/ (sqrt (* (* 2 PI) n)) (sqrt k)) 234.004 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))))) 234.005 * [simplify]: Simplifying (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2))) 234.005 * * [simplify]: iters left: 6 (11 enodes) 234.011 * * [simplify]: iters left: 5 (42 enodes) 234.025 * * [simplify]: iters left: 4 (66 enodes) 234.045 * * [simplify]: iters left: 3 (101 enodes) 234.082 * * [simplify]: iters left: 2 (171 enodes) 234.132 * * [simplify]: iters left: 1 (319 enodes) 234.275 * * [simplify]: Extracting #0: cost 1 inf + 0 234.275 * * [simplify]: Extracting #1: cost 6 inf + 0 234.276 * * [simplify]: Extracting #2: cost 40 inf + 1 234.276 * * [simplify]: Extracting #3: cost 129 inf + 2 234.277 * * [simplify]: Extracting #4: cost 155 inf + 596 234.281 * * [simplify]: Extracting #5: cost 88 inf + 13042 234.295 * * [simplify]: Extracting #6: cost 20 inf + 52461 234.305 * * [simplify]: Extracting #7: cost 0 inf + 69011 234.315 * * [simplify]: Extracting #8: cost 0 inf + 68931 234.325 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 234.326 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 234.326 * * * * [progress]: [ 226 / 315 ] simplifiying candidate # 234.326 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 234.326 * * [simplify]: iters left: 6 (15 enodes) 234.333 * * [simplify]: iters left: 5 (62 enodes) 234.353 * * [simplify]: iters left: 4 (99 enodes) 234.749 * * [simplify]: iters left: 3 (145 enodes) 234.783 * * [simplify]: iters left: 2 (236 enodes) 234.862 * * [simplify]: iters left: 1 (421 enodes) 235.012 * * [simplify]: Extracting #0: cost 1 inf + 0 235.012 * * [simplify]: Extracting #1: cost 6 inf + 0 235.012 * * [simplify]: Extracting #2: cost 9 inf + 1 235.012 * * [simplify]: Extracting #3: cost 14 inf + 1 235.012 * * [simplify]: Extracting #4: cost 44 inf + 1 235.012 * * [simplify]: Extracting #5: cost 133 inf + 3 235.013 * * [simplify]: Extracting #6: cost 173 inf + 593 235.017 * * [simplify]: Extracting #7: cost 109 inf + 16309 235.028 * * [simplify]: Extracting #8: cost 42 inf + 41790 235.041 * * [simplify]: Extracting #9: cost 10 inf + 67327 235.052 * * [simplify]: Extracting #10: cost 0 inf + 73972 235.068 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 235.068 * [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))))))) 235.068 * [simplify]: Simplifying (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 235.069 * * [simplify]: iters left: 6 (14 enodes) 235.077 * * [simplify]: iters left: 5 (57 enodes) 235.096 * * [simplify]: iters left: 4 (92 enodes) 235.114 * * [simplify]: iters left: 3 (134 enodes) 235.143 * * [simplify]: iters left: 2 (220 enodes) 235.211 * * [simplify]: iters left: 1 (418 enodes) 235.403 * * [simplify]: Extracting #0: cost 1 inf + 0 235.403 * * [simplify]: Extracting #1: cost 4 inf + 0 235.403 * * [simplify]: Extracting #2: cost 5 inf + 1 235.403 * * [simplify]: Extracting #3: cost 10 inf + 1 235.403 * * [simplify]: Extracting #4: cost 50 inf + 1 235.404 * * [simplify]: Extracting #5: cost 150 inf + 3 235.404 * * [simplify]: Extracting #6: cost 192 inf + 1169 235.407 * * [simplify]: Extracting #7: cost 122 inf + 17271 235.422 * * [simplify]: Extracting #8: cost 17 inf + 72978 235.453 * * [simplify]: Extracting #9: cost 0 inf + 83491 235.477 * * [simplify]: Extracting #10: cost 0 inf + 82888 235.497 * * [simplify]: Extracting #11: cost 0 inf + 82847 235.510 * [simplify]: Simplified to (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 235.510 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 235.510 * * * * [progress]: [ 227 / 315 ] simplifiying candidate # 235.510 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 235.510 * * [simplify]: iters left: 6 (14 enodes) 235.514 * * [simplify]: iters left: 5 (57 enodes) 235.524 * * [simplify]: iters left: 4 (92 enodes) 235.539 * * [simplify]: iters left: 3 (134 enodes) 235.567 * * [simplify]: iters left: 2 (220 enodes) 235.618 * * [simplify]: iters left: 1 (418 enodes) 235.778 * * [simplify]: Extracting #0: cost 1 inf + 0 235.778 * * [simplify]: Extracting #1: cost 4 inf + 0 235.778 * * [simplify]: Extracting #2: cost 5 inf + 1 235.778 * * [simplify]: Extracting #3: cost 10 inf + 1 235.778 * * [simplify]: Extracting #4: cost 50 inf + 1 235.779 * * [simplify]: Extracting #5: cost 150 inf + 3 235.780 * * [simplify]: Extracting #6: cost 192 inf + 1169 235.783 * * [simplify]: Extracting #7: cost 122 inf + 17151 235.796 * * [simplify]: Extracting #8: cost 17 inf + 72818 235.817 * * [simplify]: Extracting #9: cost 0 inf + 83331 235.830 * * [simplify]: Extracting #10: cost 0 inf + 82728 235.843 * * [simplify]: Extracting #11: cost 0 inf + 82687 235.862 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 235.863 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 235.863 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 235.863 * * [simplify]: iters left: 6 (14 enodes) 235.869 * * [simplify]: iters left: 5 (57 enodes) 235.880 * * [simplify]: iters left: 4 (92 enodes) 235.900 * * [simplify]: iters left: 3 (134 enodes) 235.944 * * [simplify]: iters left: 2 (220 enodes) 236.021 * * [simplify]: iters left: 1 (418 enodes) 236.198 * * [simplify]: Extracting #0: cost 1 inf + 0 236.198 * * [simplify]: Extracting #1: cost 4 inf + 0 236.198 * * [simplify]: Extracting #2: cost 5 inf + 1 236.198 * * [simplify]: Extracting #3: cost 10 inf + 1 236.198 * * [simplify]: Extracting #4: cost 50 inf + 1 236.199 * * [simplify]: Extracting #5: cost 150 inf + 3 236.201 * * [simplify]: Extracting #6: cost 192 inf + 1169 236.206 * * [simplify]: Extracting #7: cost 122 inf + 17151 236.218 * * [simplify]: Extracting #8: cost 17 inf + 72818 236.231 * * [simplify]: Extracting #9: cost 0 inf + 83331 236.250 * * [simplify]: Extracting #10: cost 0 inf + 82728 236.275 * * [simplify]: Extracting #11: cost 0 inf + 82687 236.300 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 236.300 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 236.300 * * * * [progress]: [ 228 / 315 ] simplifiying candidate # 236.301 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 236.301 * * [simplify]: iters left: 6 (12 enodes) 236.307 * * [simplify]: iters left: 5 (51 enodes) 236.318 * * [simplify]: iters left: 4 (95 enodes) 236.335 * * [simplify]: iters left: 3 (186 enodes) 236.414 * * [simplify]: iters left: 2 (447 enodes) 236.669 * * [simplify]: Extracting #0: cost 1 inf + 0 236.670 * * [simplify]: Extracting #1: cost 93 inf + 0 236.672 * * [simplify]: Extracting #2: cost 266 inf + 1 236.674 * * [simplify]: Extracting #3: cost 329 inf + 4 236.678 * * [simplify]: Extracting #4: cost 301 inf + 11072 236.694 * * [simplify]: Extracting #5: cost 170 inf + 67868 236.721 * * [simplify]: Extracting #6: cost 25 inf + 166495 236.772 * * [simplify]: Extracting #7: cost 0 inf + 185694 236.802 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 236.802 * [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)))))) 236.802 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 236.803 * * [simplify]: iters left: 6 (12 enodes) 236.806 * * [simplify]: iters left: 5 (50 enodes) 236.817 * * [simplify]: iters left: 4 (84 enodes) 236.831 * * [simplify]: iters left: 3 (140 enodes) 236.859 * * [simplify]: iters left: 2 (294 enodes) 236.955 * * [simplify]: Extracting #0: cost 1 inf + 0 236.955 * * [simplify]: Extracting #1: cost 40 inf + 0 236.956 * * [simplify]: Extracting #2: cost 122 inf + 1 236.956 * * [simplify]: Extracting #3: cost 171 inf + 3 236.957 * * [simplify]: Extracting #4: cost 174 inf + 585 236.958 * * [simplify]: Extracting #5: cost 130 inf + 8767 236.963 * * [simplify]: Extracting #6: cost 59 inf + 41915 236.976 * * [simplify]: Extracting #7: cost 4 inf + 79662 236.988 * * [simplify]: Extracting #8: cost 0 inf + 82606 237.009 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 237.009 * [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))))) 237.010 * * * * [progress]: [ 229 / 315 ] simplifiying candidate # 237.010 * [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)))))) 237.010 * * [simplify]: iters left: 6 (17 enodes) 237.019 * * [simplify]: iters left: 5 (74 enodes) 237.043 * * [simplify]: iters left: 4 (132 enodes) 237.086 * * [simplify]: iters left: 3 (208 enodes) 237.145 * * [simplify]: iters left: 2 (355 enodes) 237.229 * * [simplify]: Extracting #0: cost 1 inf + 0 237.229 * * [simplify]: Extracting #1: cost 17 inf + 0 237.230 * * [simplify]: Extracting #2: cost 31 inf + 1 237.230 * * [simplify]: Extracting #3: cost 46 inf + 1 237.230 * * [simplify]: Extracting #4: cost 94 inf + 3 237.230 * * [simplify]: Extracting #5: cost 115 inf + 1232 237.233 * * [simplify]: Extracting #6: cost 62 inf + 14455 237.238 * * [simplify]: Extracting #7: cost 19 inf + 29814 237.245 * * [simplify]: Extracting #8: cost 2 inf + 40119 237.252 * * [simplify]: Extracting #9: cost 0 inf + 41151 237.263 * [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)))) 237.263 * [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))))))) 237.264 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 237.264 * * [simplify]: iters left: 6 (15 enodes) 237.272 * * [simplify]: iters left: 5 (62 enodes) 237.295 * * [simplify]: iters left: 4 (96 enodes) 237.325 * * [simplify]: iters left: 3 (138 enodes) 237.373 * * [simplify]: iters left: 2 (246 enodes) 237.455 * * [simplify]: iters left: 1 (422 enodes) 237.575 * * [simplify]: Extracting #0: cost 1 inf + 0 237.575 * * [simplify]: Extracting #1: cost 7 inf + 0 237.575 * * [simplify]: Extracting #2: cost 12 inf + 1 237.575 * * [simplify]: Extracting #3: cost 41 inf + 1 237.576 * * [simplify]: Extracting #4: cost 120 inf + 3 237.576 * * [simplify]: Extracting #5: cost 166 inf + 709 237.578 * * [simplify]: Extracting #6: cost 114 inf + 6910 237.587 * * [simplify]: Extracting #7: cost 45 inf + 28556 237.601 * * [simplify]: Extracting #8: cost 0 inf + 67061 237.621 * * [simplify]: Extracting #9: cost 0 inf + 66098 237.635 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (cbrt (sqrt k))) 237.635 * [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))))) 237.635 * * * * [progress]: [ 230 / 315 ] simplifiying candidate # 237.635 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 237.636 * * [simplify]: iters left: 6 (16 enodes) 237.640 * * [simplify]: iters left: 5 (67 enodes) 237.651 * * [simplify]: iters left: 4 (109 enodes) 237.669 * * [simplify]: iters left: 3 (167 enodes) 237.729 * * [simplify]: iters left: 2 (292 enodes) 237.800 * * [simplify]: iters left: 1 (469 enodes) 237.955 * * [simplify]: Extracting #0: cost 1 inf + 0 237.955 * * [simplify]: Extracting #1: cost 12 inf + 0 237.955 * * [simplify]: Extracting #2: cost 22 inf + 1 237.955 * * [simplify]: Extracting #3: cost 54 inf + 1 237.956 * * [simplify]: Extracting #4: cost 143 inf + 3 237.957 * * [simplify]: Extracting #5: cost 181 inf + 831 237.959 * * [simplify]: Extracting #6: cost 111 inf + 12253 237.968 * * [simplify]: Extracting #7: cost 47 inf + 31059 237.978 * * [simplify]: Extracting #8: cost 8 inf + 62803 238.002 * * [simplify]: Extracting #9: cost 0 inf + 69589 238.021 * * [simplify]: Extracting #10: cost 0 inf + 68170 238.033 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 238.034 * [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))))))) 238.034 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 238.034 * * [simplify]: iters left: 6 (15 enodes) 238.038 * * [simplify]: iters left: 5 (62 enodes) 238.058 * * [simplify]: iters left: 4 (97 enodes) 238.078 * * [simplify]: iters left: 3 (142 enodes) 238.111 * * [simplify]: iters left: 2 (256 enodes) 238.176 * * [simplify]: iters left: 1 (440 enodes) 238.322 * * [simplify]: Extracting #0: cost 1 inf + 0 238.322 * * [simplify]: Extracting #1: cost 7 inf + 0 238.322 * * [simplify]: Extracting #2: cost 13 inf + 1 238.322 * * [simplify]: Extracting #3: cost 47 inf + 1 238.323 * * [simplify]: Extracting #4: cost 135 inf + 3 238.324 * * [simplify]: Extracting #5: cost 184 inf + 1159 238.329 * * [simplify]: Extracting #6: cost 121 inf + 10664 238.346 * * [simplify]: Extracting #7: cost 36 inf + 39813 238.367 * * [simplify]: Extracting #8: cost 0 inf + 71901 238.386 * * [simplify]: Extracting #9: cost 0 inf + 69740 238.396 * * [simplify]: Extracting #10: cost 0 inf + 69500 238.407 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 238.407 * [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))))) 238.407 * * * * [progress]: [ 231 / 315 ] simplifiying candidate # 238.408 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 238.408 * * [simplify]: iters left: 6 (7 enodes) 238.410 * * [simplify]: iters left: 5 (25 enodes) 238.418 * * [simplify]: iters left: 4 (38 enodes) 238.428 * * [simplify]: iters left: 3 (42 enodes) 238.440 * * [simplify]: Extracting #0: cost 1 inf + 0 238.440 * * [simplify]: Extracting #1: cost 6 inf + 0 238.440 * * [simplify]: Extracting #2: cost 9 inf + 1 238.440 * * [simplify]: Extracting #3: cost 11 inf + 1 238.440 * * [simplify]: Extracting #4: cost 10 inf + 2 238.440 * * [simplify]: Extracting #5: cost 2 inf + 1093 238.441 * * [simplify]: Extracting #6: cost 0 inf + 1376 238.441 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 238.442 * [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)))))) 238.442 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 238.442 * * [simplify]: iters left: 6 (14 enodes) 238.450 * * [simplify]: iters left: 5 (59 enodes) 238.472 * * [simplify]: iters left: 4 (101 enodes) 238.504 * * [simplify]: iters left: 3 (158 enodes) 238.566 * * [simplify]: iters left: 2 (310 enodes) 238.652 * * [simplify]: Extracting #0: cost 1 inf + 0 238.652 * * [simplify]: Extracting #1: cost 49 inf + 0 238.653 * * [simplify]: Extracting #2: cost 133 inf + 1 238.653 * * [simplify]: Extracting #3: cost 184 inf + 3 238.655 * * [simplify]: Extracting #4: cost 168 inf + 4104 238.661 * * [simplify]: Extracting #5: cost 102 inf + 26311 238.671 * * [simplify]: Extracting #6: cost 20 inf + 80701 238.696 * * [simplify]: Extracting #7: cost 0 inf + 95863 238.723 * * [simplify]: Extracting #8: cost 0 inf + 93596 238.749 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k))) 238.749 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 238.749 * * * * [progress]: [ 232 / 315 ] simplifiying candidate # 238.749 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 238.749 * * [simplify]: iters left: 6 (16 enodes) 238.754 * * [simplify]: iters left: 5 (70 enodes) 238.767 * * [simplify]: iters left: 4 (125 enodes) 238.796 * * [simplify]: iters left: 3 (234 enodes) 238.872 * * [simplify]: Extracting #0: cost 1 inf + 0 238.873 * * [simplify]: Extracting #1: cost 32 inf + 0 238.873 * * [simplify]: Extracting #2: cost 100 inf + 1 238.873 * * [simplify]: Extracting #3: cost 144 inf + 2 238.874 * * [simplify]: Extracting #4: cost 143 inf + 706 238.876 * * [simplify]: Extracting #5: cost 86 inf + 11932 238.882 * * [simplify]: Extracting #6: cost 14 inf + 46608 238.894 * * [simplify]: Extracting #7: cost 0 inf + 57375 238.910 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 238.910 * [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)))))) 238.911 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 238.911 * * [simplify]: iters left: 6 (15 enodes) 238.920 * * [simplify]: iters left: 5 (65 enodes) 238.942 * * [simplify]: iters left: 4 (107 enodes) 238.977 * * [simplify]: iters left: 3 (174 enodes) 239.041 * * [simplify]: iters left: 2 (352 enodes) 239.154 * * [simplify]: Extracting #0: cost 1 inf + 0 239.154 * * [simplify]: Extracting #1: cost 49 inf + 0 239.155 * * [simplify]: Extracting #2: cost 130 inf + 1 239.156 * * [simplify]: Extracting #3: cost 184 inf + 3 239.158 * * [simplify]: Extracting #4: cost 171 inf + 4029 239.168 * * [simplify]: Extracting #5: cost 85 inf + 36543 239.194 * * [simplify]: Extracting #6: cost 3 inf + 92594 239.221 * * [simplify]: Extracting #7: cost 0 inf + 92483 239.236 * * [simplify]: Extracting #8: cost 0 inf + 92443 239.263 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (cbrt (sqrt k))) 239.263 * [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))))) 239.264 * * * * [progress]: [ 233 / 315 ] simplifiying candidate # 239.264 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 239.264 * * [simplify]: iters left: 6 (12 enodes) 239.271 * * [simplify]: iters left: 5 (50 enodes) 239.288 * * [simplify]: iters left: 4 (84 enodes) 239.316 * * [simplify]: iters left: 3 (136 enodes) 239.372 * * [simplify]: iters left: 2 (285 enodes) 239.515 * * [simplify]: Extracting #0: cost 1 inf + 0 239.516 * * [simplify]: Extracting #1: cost 46 inf + 0 239.516 * * [simplify]: Extracting #2: cost 130 inf + 1 239.517 * * [simplify]: Extracting #3: cost 175 inf + 4 239.519 * * [simplify]: Extracting #4: cost 173 inf + 871 239.522 * * [simplify]: Extracting #5: cost 129 inf + 8821 239.534 * * [simplify]: Extracting #6: cost 42 inf + 52243 239.547 * * [simplify]: Extracting #7: cost 1 inf + 81140 239.557 * * [simplify]: Extracting #8: cost 0 inf + 81414 239.570 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 239.570 * [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)))))) 239.570 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 239.571 * * [simplify]: iters left: 6 (12 enodes) 239.577 * * [simplify]: iters left: 5 (50 enodes) 239.595 * * [simplify]: iters left: 4 (84 enodes) 239.627 * * [simplify]: iters left: 3 (140 enodes) 239.683 * * [simplify]: iters left: 2 (294 enodes) 239.792 * * [simplify]: Extracting #0: cost 1 inf + 0 239.792 * * [simplify]: Extracting #1: cost 40 inf + 0 239.793 * * [simplify]: Extracting #2: cost 122 inf + 1 239.793 * * [simplify]: Extracting #3: cost 171 inf + 3 239.794 * * [simplify]: Extracting #4: cost 174 inf + 625 239.795 * * [simplify]: Extracting #5: cost 130 inf + 8847 239.800 * * [simplify]: Extracting #6: cost 59 inf + 41995 239.811 * * [simplify]: Extracting #7: cost 4 inf + 79742 239.832 * * [simplify]: Extracting #8: cost 0 inf + 82686 239.843 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 239.843 * [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))))) 239.843 * * * * [progress]: [ 234 / 315 ] simplifiying candidate # 239.843 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 239.843 * * [simplify]: iters left: 6 (17 enodes) 239.848 * * [simplify]: iters left: 5 (71 enodes) 239.860 * * [simplify]: iters left: 4 (111 enodes) 239.886 * * [simplify]: iters left: 3 (164 enodes) 239.925 * * [simplify]: iters left: 2 (280 enodes) 240.014 * * [simplify]: iters left: 1 (473 enodes) 240.187 * * [simplify]: Extracting #0: cost 1 inf + 0 240.187 * * [simplify]: Extracting #1: cost 10 inf + 0 240.187 * * [simplify]: Extracting #2: cost 19 inf + 1 240.187 * * [simplify]: Extracting #3: cost 49 inf + 1 240.188 * * [simplify]: Extracting #4: cost 127 inf + 3 240.189 * * [simplify]: Extracting #5: cost 183 inf + 700 240.193 * * [simplify]: Extracting #6: cost 129 inf + 7479 240.205 * * [simplify]: Extracting #7: cost 49 inf + 36118 240.227 * * [simplify]: Extracting #8: cost 8 inf + 65757 240.257 * * [simplify]: Extracting #9: cost 0 inf + 72087 240.281 * * [simplify]: Extracting #10: cost 0 inf + 71504 240.300 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 240.300 * [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))))) (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 240.301 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 240.301 * * [simplify]: iters left: 6 (15 enodes) 240.305 * * [simplify]: iters left: 5 (62 enodes) 240.315 * * [simplify]: iters left: 4 (96 enodes) 240.332 * * [simplify]: iters left: 3 (138 enodes) 240.384 * * [simplify]: iters left: 2 (246 enodes) 240.469 * * [simplify]: iters left: 1 (422 enodes) 240.647 * * [simplify]: Extracting #0: cost 1 inf + 0 240.647 * * [simplify]: Extracting #1: cost 7 inf + 0 240.647 * * [simplify]: Extracting #2: cost 12 inf + 1 240.647 * * [simplify]: Extracting #3: cost 41 inf + 1 240.647 * * [simplify]: Extracting #4: cost 120 inf + 3 240.648 * * [simplify]: Extracting #5: cost 166 inf + 749 240.650 * * [simplify]: Extracting #6: cost 114 inf + 6990 240.655 * * [simplify]: Extracting #7: cost 45 inf + 28636 240.665 * * [simplify]: Extracting #8: cost 0 inf + 67141 240.677 * * [simplify]: Extracting #9: cost 0 inf + 66178 240.688 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (cbrt k))) 240.688 * [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))))) 240.688 * * * * [progress]: [ 235 / 315 ] simplifiying candidate # 240.688 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 240.688 * * [simplify]: iters left: 6 (16 enodes) 240.696 * * [simplify]: iters left: 5 (66 enodes) 240.706 * * [simplify]: iters left: 4 (101 enodes) 240.723 * * [simplify]: iters left: 3 (146 enodes) 240.755 * * [simplify]: iters left: 2 (257 enodes) 240.804 * * [simplify]: iters left: 1 (422 enodes) 240.991 * * [simplify]: Extracting #0: cost 1 inf + 0 240.992 * * [simplify]: Extracting #1: cost 7 inf + 0 240.992 * * [simplify]: Extracting #2: cost 14 inf + 1 240.992 * * [simplify]: Extracting #3: cost 47 inf + 1 240.993 * * [simplify]: Extracting #4: cost 129 inf + 3 240.994 * * [simplify]: Extracting #5: cost 175 inf + 1624 241.001 * * [simplify]: Extracting #6: cost 85 inf + 21043 241.019 * * [simplify]: Extracting #7: cost 6 inf + 63465 241.039 * * [simplify]: Extracting #8: cost 0 inf + 67276 241.060 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 241.060 * [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))))))) 241.061 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 241.061 * * [simplify]: iters left: 6 (15 enodes) 241.069 * * [simplify]: iters left: 5 (62 enodes) 241.090 * * [simplify]: iters left: 4 (97 enodes) 241.120 * * [simplify]: iters left: 3 (142 enodes) 241.175 * * [simplify]: iters left: 2 (256 enodes) 241.244 * * [simplify]: iters left: 1 (440 enodes) 241.481 * * [simplify]: Extracting #0: cost 1 inf + 0 241.481 * * [simplify]: Extracting #1: cost 7 inf + 0 241.481 * * [simplify]: Extracting #2: cost 13 inf + 1 241.482 * * [simplify]: Extracting #3: cost 47 inf + 1 241.483 * * [simplify]: Extracting #4: cost 135 inf + 3 241.484 * * [simplify]: Extracting #5: cost 184 inf + 1199 241.489 * * [simplify]: Extracting #6: cost 121 inf + 10744 241.501 * * [simplify]: Extracting #7: cost 36 inf + 39893 241.527 * * [simplify]: Extracting #8: cost 0 inf + 71981 241.548 * * [simplify]: Extracting #9: cost 0 inf + 69820 241.559 * * [simplify]: Extracting #10: cost 0 inf + 69580 241.570 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 241.570 * [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))))) 241.570 * * * * [progress]: [ 236 / 315 ] simplifiying candidate # 241.570 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 241.570 * * [simplify]: iters left: 6 (7 enodes) 241.572 * * [simplify]: iters left: 5 (23 enodes) 241.577 * * [simplify]: iters left: 4 (29 enodes) 241.585 * * [simplify]: Extracting #0: cost 1 inf + 0 241.585 * * [simplify]: Extracting #1: cost 4 inf + 0 241.585 * * [simplify]: Extracting #2: cost 6 inf + 1 241.585 * * [simplify]: Extracting #3: cost 9 inf + 1 241.585 * * [simplify]: Extracting #4: cost 8 inf + 2 241.585 * * [simplify]: Extracting #5: cost 2 inf + 689 241.585 * * [simplify]: Extracting #6: cost 0 inf + 972 241.586 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 241.586 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 241.586 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 241.586 * * [simplify]: iters left: 6 (14 enodes) 241.594 * * [simplify]: iters left: 5 (59 enodes) 241.611 * * [simplify]: iters left: 4 (101 enodes) 241.630 * * [simplify]: iters left: 3 (158 enodes) 241.674 * * [simplify]: iters left: 2 (310 enodes) 241.787 * * [simplify]: Extracting #0: cost 1 inf + 0 241.787 * * [simplify]: Extracting #1: cost 49 inf + 0 241.787 * * [simplify]: Extracting #2: cost 133 inf + 1 241.788 * * [simplify]: Extracting #3: cost 184 inf + 3 241.789 * * [simplify]: Extracting #4: cost 168 inf + 4144 241.792 * * [simplify]: Extracting #5: cost 102 inf + 26391 241.802 * * [simplify]: Extracting #6: cost 20 inf + 80781 241.818 * * [simplify]: Extracting #7: cost 0 inf + 95943 241.845 * * [simplify]: Extracting #8: cost 0 inf + 93676 241.867 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k))) 241.867 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 241.867 * * * * [progress]: [ 237 / 315 ] simplifiying candidate # 241.867 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 241.868 * * [simplify]: iters left: 6 (16 enodes) 241.873 * * [simplify]: iters left: 5 (69 enodes) 241.884 * * [simplify]: iters left: 4 (111 enodes) 241.912 * * [simplify]: iters left: 3 (178 enodes) 241.960 * * [simplify]: iters left: 2 (354 enodes) 242.081 * * [simplify]: Extracting #0: cost 1 inf + 0 242.081 * * [simplify]: Extracting #1: cost 39 inf + 0 242.082 * * [simplify]: Extracting #2: cost 119 inf + 1 242.082 * * [simplify]: Extracting #3: cost 175 inf + 3 242.083 * * [simplify]: Extracting #4: cost 182 inf + 711 242.085 * * [simplify]: Extracting #5: cost 134 inf + 11291 242.097 * * [simplify]: Extracting #6: cost 49 inf + 49694 242.123 * * [simplify]: Extracting #7: cost 3 inf + 85206 242.140 * * [simplify]: Extracting #8: cost 0 inf + 86723 242.156 * * [simplify]: Extracting #9: cost 0 inf + 86484 242.178 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 242.178 * [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)))))) 242.179 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 242.179 * * [simplify]: iters left: 6 (15 enodes) 242.187 * * [simplify]: iters left: 5 (65 enodes) 242.207 * * [simplify]: iters left: 4 (107 enodes) 242.235 * * [simplify]: iters left: 3 (174 enodes) 242.278 * * [simplify]: iters left: 2 (352 enodes) 242.402 * * [simplify]: Extracting #0: cost 1 inf + 0 242.402 * * [simplify]: Extracting #1: cost 49 inf + 0 242.403 * * [simplify]: Extracting #2: cost 130 inf + 1 242.404 * * [simplify]: Extracting #3: cost 184 inf + 3 242.406 * * [simplify]: Extracting #4: cost 171 inf + 4109 242.416 * * [simplify]: Extracting #5: cost 85 inf + 36623 242.443 * * [simplify]: Extracting #6: cost 3 inf + 92674 242.475 * * [simplify]: Extracting #7: cost 0 inf + 92563 242.504 * * [simplify]: Extracting #8: cost 0 inf + 92523 242.531 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (cbrt k))) 242.531 * [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))))) 242.531 * * * * [progress]: [ 238 / 315 ] simplifiying candidate # 242.532 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 242.532 * * [simplify]: iters left: 6 (11 enodes) 242.538 * * [simplify]: iters left: 5 (46 enodes) 242.553 * * [simplify]: iters left: 4 (76 enodes) 242.576 * * [simplify]: iters left: 3 (133 enodes) 242.615 * * [simplify]: iters left: 2 (300 enodes) 242.700 * * [simplify]: Extracting #0: cost 1 inf + 0 242.700 * * [simplify]: Extracting #1: cost 41 inf + 0 242.701 * * [simplify]: Extracting #2: cost 122 inf + 1 242.701 * * [simplify]: Extracting #3: cost 169 inf + 4 242.702 * * [simplify]: Extracting #4: cost 163 inf + 1837 242.704 * * [simplify]: Extracting #5: cost 125 inf + 8927 242.710 * * [simplify]: Extracting #6: cost 30 inf + 57737 242.721 * * [simplify]: Extracting #7: cost 0 inf + 78441 242.732 * * [simplify]: Extracting #8: cost 0 inf + 78400 242.752 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 242.752 * [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)))))) 242.753 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 242.753 * * [simplify]: iters left: 6 (12 enodes) 242.760 * * [simplify]: iters left: 5 (50 enodes) 242.780 * * [simplify]: iters left: 4 (84 enodes) 242.807 * * [simplify]: iters left: 3 (140 enodes) 242.836 * * [simplify]: iters left: 2 (294 enodes) 242.961 * * [simplify]: Extracting #0: cost 1 inf + 0 242.961 * * [simplify]: Extracting #1: cost 40 inf + 0 242.961 * * [simplify]: Extracting #2: cost 122 inf + 1 242.962 * * [simplify]: Extracting #3: cost 171 inf + 3 242.962 * * [simplify]: Extracting #4: cost 174 inf + 505 242.964 * * [simplify]: Extracting #5: cost 130 inf + 8407 242.969 * * [simplify]: Extracting #6: cost 59 inf + 40635 242.983 * * [simplify]: Extracting #7: cost 4 inf + 76862 242.999 * * [simplify]: Extracting #8: cost 0 inf + 79686 243.011 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 243.011 * [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))))) 243.011 * * * * [progress]: [ 239 / 315 ] simplifiying candidate # 243.011 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 243.011 * * [simplify]: iters left: 6 (16 enodes) 243.016 * * [simplify]: iters left: 5 (67 enodes) 243.029 * * [simplify]: iters left: 4 (107 enodes) 243.063 * * [simplify]: iters left: 3 (157 enodes) 243.120 * * [simplify]: iters left: 2 (268 enodes) 243.178 * * [simplify]: iters left: 1 (446 enodes) 243.360 * * [simplify]: Extracting #0: cost 1 inf + 0 243.360 * * [simplify]: Extracting #1: cost 10 inf + 0 243.360 * * [simplify]: Extracting #2: cost 18 inf + 1 243.360 * * [simplify]: Extracting #3: cost 47 inf + 1 243.361 * * [simplify]: Extracting #4: cost 123 inf + 3 243.362 * * [simplify]: Extracting #5: cost 175 inf + 1046 243.366 * * [simplify]: Extracting #6: cost 106 inf + 12283 243.382 * * [simplify]: Extracting #7: cost 28 inf + 50379 243.407 * * [simplify]: Extracting #8: cost 1 inf + 69655 243.429 * * [simplify]: Extracting #9: cost 0 inf + 68607 243.445 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 243.445 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 243.446 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 243.446 * * [simplify]: iters left: 6 (15 enodes) 243.450 * * [simplify]: iters left: 5 (62 enodes) 243.465 * * [simplify]: iters left: 4 (96 enodes) 243.490 * * [simplify]: iters left: 3 (138 enodes) 243.516 * * [simplify]: iters left: 2 (246 enodes) 243.591 * * [simplify]: iters left: 1 (422 enodes) 243.776 * * [simplify]: Extracting #0: cost 1 inf + 0 243.776 * * [simplify]: Extracting #1: cost 7 inf + 0 243.776 * * [simplify]: Extracting #2: cost 12 inf + 1 243.776 * * [simplify]: Extracting #3: cost 41 inf + 1 243.777 * * [simplify]: Extracting #4: cost 120 inf + 3 243.777 * * [simplify]: Extracting #5: cost 166 inf + 629 243.779 * * [simplify]: Extracting #6: cost 114 inf + 6750 243.784 * * [simplify]: Extracting #7: cost 45 inf + 28276 243.795 * * [simplify]: Extracting #8: cost 0 inf + 66741 243.806 * * [simplify]: Extracting #9: cost 0 inf + 65778 243.817 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 243.817 * [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))))) 243.817 * * * * [progress]: [ 240 / 315 ] simplifiying candidate # 243.818 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 243.818 * * [simplify]: iters left: 6 (15 enodes) 243.825 * * [simplify]: iters left: 5 (62 enodes) 243.846 * * [simplify]: iters left: 4 (97 enodes) 243.881 * * [simplify]: iters left: 3 (142 enodes) 243.932 * * [simplify]: iters left: 2 (256 enodes) 244.015 * * [simplify]: iters left: 1 (440 enodes) 244.161 * * [simplify]: Extracting #0: cost 1 inf + 0 244.161 * * [simplify]: Extracting #1: cost 7 inf + 0 244.161 * * [simplify]: Extracting #2: cost 13 inf + 1 244.161 * * [simplify]: Extracting #3: cost 47 inf + 1 244.162 * * [simplify]: Extracting #4: cost 135 inf + 3 244.163 * * [simplify]: Extracting #5: cost 184 inf + 999 244.165 * * [simplify]: Extracting #6: cost 121 inf + 10384 244.171 * * [simplify]: Extracting #7: cost 36 inf + 39493 244.182 * * [simplify]: Extracting #8: cost 0 inf + 71581 244.204 * * [simplify]: Extracting #9: cost 0 inf + 69420 244.226 * * [simplify]: Extracting #10: cost 0 inf + 69180 244.248 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 244.248 * [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))))))) 244.248 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 244.248 * * [simplify]: iters left: 6 (15 enodes) 244.257 * * [simplify]: iters left: 5 (62 enodes) 244.277 * * [simplify]: iters left: 4 (97 enodes) 244.311 * * [simplify]: iters left: 3 (142 enodes) 244.356 * * [simplify]: iters left: 2 (256 enodes) 244.404 * * [simplify]: iters left: 1 (440 enodes) 244.588 * * [simplify]: Extracting #0: cost 1 inf + 0 244.588 * * [simplify]: Extracting #1: cost 7 inf + 0 244.588 * * [simplify]: Extracting #2: cost 13 inf + 1 244.589 * * [simplify]: Extracting #3: cost 47 inf + 1 244.589 * * [simplify]: Extracting #4: cost 135 inf + 3 244.591 * * [simplify]: Extracting #5: cost 184 inf + 999 244.596 * * [simplify]: Extracting #6: cost 121 inf + 10384 244.604 * * [simplify]: Extracting #7: cost 36 inf + 39493 244.614 * * [simplify]: Extracting #8: cost 0 inf + 71581 244.625 * * [simplify]: Extracting #9: cost 0 inf + 69420 244.636 * * [simplify]: Extracting #10: cost 0 inf + 69180 244.656 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 244.656 * [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))))) 244.657 * * * * [progress]: [ 241 / 315 ] simplifiying candidate # 244.657 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 244.657 * * [simplify]: iters left: 6 (6 enodes) 244.660 * * [simplify]: iters left: 5 (20 enodes) 244.667 * * [simplify]: iters left: 4 (24 enodes) 244.674 * * [simplify]: iters left: 3 (25 enodes) 244.680 * * [simplify]: Extracting #0: cost 1 inf + 0 244.680 * * [simplify]: Extracting #1: cost 4 inf + 0 244.681 * * [simplify]: Extracting #2: cost 5 inf + 1 244.681 * * [simplify]: Extracting #3: cost 7 inf + 1 244.681 * * [simplify]: Extracting #4: cost 6 inf + 2 244.681 * * [simplify]: Extracting #5: cost 0 inf + 490 244.681 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 244.681 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 244.681 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 244.682 * * [simplify]: iters left: 6 (14 enodes) 244.693 * * [simplify]: iters left: 5 (59 enodes) 244.713 * * [simplify]: iters left: 4 (101 enodes) 244.745 * * [simplify]: iters left: 3 (158 enodes) 244.787 * * [simplify]: iters left: 2 (310 enodes) 244.887 * * [simplify]: Extracting #0: cost 1 inf + 0 244.891 * * [simplify]: Extracting #1: cost 49 inf + 0 244.891 * * [simplify]: Extracting #2: cost 133 inf + 1 244.892 * * [simplify]: Extracting #3: cost 184 inf + 3 244.893 * * [simplify]: Extracting #4: cost 168 inf + 3864 244.897 * * [simplify]: Extracting #5: cost 102 inf + 25471 244.917 * * [simplify]: Extracting #6: cost 20 inf + 78381 244.943 * * [simplify]: Extracting #7: cost 0 inf + 92783 244.969 * * [simplify]: Extracting #8: cost 0 inf + 90516 244.982 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) 244.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 244.983 * * * * [progress]: [ 242 / 315 ] simplifiying candidate # 244.983 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 244.983 * * [simplify]: iters left: 6 (15 enodes) 244.987 * * [simplify]: iters left: 5 (65 enodes) 244.998 * * [simplify]: iters left: 4 (107 enodes) 245.023 * * [simplify]: iters left: 3 (174 enodes) 245.062 * * [simplify]: iters left: 2 (352 enodes) 245.191 * * [simplify]: Extracting #0: cost 1 inf + 0 245.192 * * [simplify]: Extracting #1: cost 49 inf + 0 245.192 * * [simplify]: Extracting #2: cost 130 inf + 1 245.193 * * [simplify]: Extracting #3: cost 184 inf + 3 245.197 * * [simplify]: Extracting #4: cost 171 inf + 3869 245.201 * * [simplify]: Extracting #5: cost 85 inf + 35623 245.216 * * [simplify]: Extracting #6: cost 3 inf + 89634 245.232 * * [simplify]: Extracting #7: cost 0 inf + 89523 245.246 * * [simplify]: Extracting #8: cost 0 inf + 89483 245.269 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 245.269 * [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)))))) 245.269 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 245.270 * * [simplify]: iters left: 6 (15 enodes) 245.278 * * [simplify]: iters left: 5 (65 enodes) 245.299 * * [simplify]: iters left: 4 (107 enodes) 245.322 * * [simplify]: iters left: 3 (174 enodes) 245.370 * * [simplify]: iters left: 2 (352 enodes) 245.494 * * [simplify]: Extracting #0: cost 1 inf + 0 245.494 * * [simplify]: Extracting #1: cost 49 inf + 0 245.495 * * [simplify]: Extracting #2: cost 130 inf + 1 245.498 * * [simplify]: Extracting #3: cost 184 inf + 3 245.500 * * [simplify]: Extracting #4: cost 171 inf + 3869 245.504 * * [simplify]: Extracting #5: cost 85 inf + 35623 245.518 * * [simplify]: Extracting #6: cost 3 inf + 89634 245.540 * * [simplify]: Extracting #7: cost 0 inf + 89523 245.555 * * [simplify]: Extracting #8: cost 0 inf + 89483 245.571 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 245.571 * [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))))) 245.571 * * * * [progress]: [ 243 / 315 ] simplifiying candidate # 245.572 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 245.572 * * [simplify]: iters left: 6 (10 enodes) 245.579 * * [simplify]: iters left: 5 (43 enodes) 245.594 * * [simplify]: iters left: 4 (68 enodes) 245.618 * * [simplify]: iters left: 3 (113 enodes) 245.654 * * [simplify]: iters left: 2 (234 enodes) 245.712 * * [simplify]: iters left: 1 (494 enodes) 245.983 * * [simplify]: Extracting #0: cost 1 inf + 0 245.983 * * [simplify]: Extracting #1: cost 49 inf + 0 245.984 * * [simplify]: Extracting #2: cost 190 inf + 3 245.985 * * [simplify]: Extracting #3: cost 259 inf + 8 245.986 * * [simplify]: Extracting #4: cost 259 inf + 266 245.989 * * [simplify]: Extracting #5: cost 169 inf + 18561 246.001 * * [simplify]: Extracting #6: cost 51 inf + 78745 246.022 * * [simplify]: Extracting #7: cost 0 inf + 116611 246.042 * * [simplify]: Extracting #8: cost 0 inf + 116104 246.064 * * [simplify]: Extracting #9: cost 0 inf + 115599 246.101 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 246.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 246.102 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 246.102 * * [simplify]: iters left: 6 (11 enodes) 246.108 * * [simplify]: iters left: 5 (47 enodes) 246.125 * * [simplify]: iters left: 4 (77 enodes) 246.150 * * [simplify]: iters left: 3 (134 enodes) 246.179 * * [simplify]: iters left: 2 (301 enodes) 246.253 * * [simplify]: Extracting #0: cost 1 inf + 0 246.254 * * [simplify]: Extracting #1: cost 41 inf + 0 246.254 * * [simplify]: Extracting #2: cost 125 inf + 1 246.255 * * [simplify]: Extracting #3: cost 168 inf + 168 246.257 * * [simplify]: Extracting #4: cost 159 inf + 2000 246.260 * * [simplify]: Extracting #5: cost 122 inf + 11568 246.275 * * [simplify]: Extracting #6: cost 26 inf + 65741 246.297 * * [simplify]: Extracting #7: cost 0 inf + 82438 246.318 * * [simplify]: Extracting #8: cost 0 inf + 80977 246.335 * * [simplify]: Extracting #9: cost 0 inf + 79587 246.346 * * [simplify]: Extracting #10: cost 0 inf + 79326 246.357 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 246.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 246.357 * * * * [progress]: [ 244 / 315 ] simplifiying candidate # 246.358 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 246.358 * * [simplify]: iters left: 6 (15 enodes) 246.363 * * [simplify]: iters left: 5 (64 enodes) 246.375 * * [simplify]: iters left: 4 (106 enodes) 246.392 * * [simplify]: iters left: 3 (156 enodes) 246.418 * * [simplify]: iters left: 2 (247 enodes) 246.465 * * [simplify]: iters left: 1 (430 enodes) 246.630 * * [simplify]: Extracting #0: cost 1 inf + 0 246.630 * * [simplify]: Extracting #1: cost 6 inf + 0 246.631 * * [simplify]: Extracting #2: cost 9 inf + 1 246.631 * * [simplify]: Extracting #3: cost 35 inf + 1 246.631 * * [simplify]: Extracting #4: cost 109 inf + 2 246.632 * * [simplify]: Extracting #5: cost 167 inf + 176 246.632 * * [simplify]: Extracting #6: cost 170 inf + 436 246.634 * * [simplify]: Extracting #7: cost 119 inf + 5626 246.639 * * [simplify]: Extracting #8: cost 42 inf + 33532 246.650 * * [simplify]: Extracting #9: cost 5 inf + 59771 246.662 * * [simplify]: Extracting #10: cost 0 inf + 63288 246.673 * * [simplify]: Extracting #11: cost 0 inf + 62572 246.686 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 246.686 * [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))))))) 246.687 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 246.687 * * [simplify]: iters left: 6 (14 enodes) 246.694 * * [simplify]: iters left: 5 (59 enodes) 246.714 * * [simplify]: iters left: 4 (97 enodes) 246.742 * * [simplify]: iters left: 3 (137 enodes) 246.766 * * [simplify]: iters left: 2 (229 enodes) 246.846 * * [simplify]: iters left: 1 (418 enodes) 246.992 * * [simplify]: Extracting #0: cost 1 inf + 0 246.992 * * [simplify]: Extracting #1: cost 7 inf + 0 246.992 * * [simplify]: Extracting #2: cost 12 inf + 1 246.992 * * [simplify]: Extracting #3: cost 37 inf + 2 246.993 * * [simplify]: Extracting #4: cost 113 inf + 167 246.993 * * [simplify]: Extracting #5: cost 171 inf + 465 246.998 * * [simplify]: Extracting #6: cost 115 inf + 10076 247.009 * * [simplify]: Extracting #7: cost 33 inf + 38791 247.023 * * [simplify]: Extracting #8: cost 2 inf + 65463 247.033 * * [simplify]: Extracting #9: cost 0 inf + 67128 247.044 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 247.044 * [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)))) 247.044 * * * * [progress]: [ 245 / 315 ] simplifiying candidate # 247.045 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 247.045 * * [simplify]: iters left: 6 (14 enodes) 247.051 * * [simplify]: iters left: 5 (59 enodes) 247.068 * * [simplify]: iters left: 4 (95 enodes) 247.083 * * [simplify]: iters left: 3 (138 enodes) 247.120 * * [simplify]: iters left: 2 (221 enodes) 247.200 * * [simplify]: iters left: 1 (402 enodes) 247.339 * * [simplify]: Extracting #0: cost 1 inf + 0 247.339 * * [simplify]: Extracting #1: cost 6 inf + 0 247.339 * * [simplify]: Extracting #2: cost 32 inf + 1 247.340 * * [simplify]: Extracting #3: cost 116 inf + 2 247.340 * * [simplify]: Extracting #4: cost 165 inf + 177 247.341 * * [simplify]: Extracting #5: cost 166 inf + 436 247.343 * * [simplify]: Extracting #6: cost 101 inf + 7471 247.350 * * [simplify]: Extracting #7: cost 36 inf + 31861 247.368 * * [simplify]: Extracting #8: cost 3 inf + 58371 247.388 * * [simplify]: Extracting #9: cost 0 inf + 61320 247.411 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 247.411 * [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))))))) 247.412 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 247.412 * * [simplify]: iters left: 6 (14 enodes) 247.420 * * [simplify]: iters left: 5 (59 enodes) 247.440 * * [simplify]: iters left: 4 (98 enodes) 247.470 * * [simplify]: iters left: 3 (138 enodes) 247.515 * * [simplify]: iters left: 2 (231 enodes) 247.573 * * [simplify]: iters left: 1 (408 enodes) 247.749 * * [simplify]: Extracting #0: cost 1 inf + 0 247.749 * * [simplify]: Extracting #1: cost 7 inf + 0 247.749 * * [simplify]: Extracting #2: cost 13 inf + 1 247.749 * * [simplify]: Extracting #3: cost 39 inf + 2 247.750 * * [simplify]: Extracting #4: cost 126 inf + 167 247.750 * * [simplify]: Extracting #5: cost 170 inf + 590 247.752 * * [simplify]: Extracting #6: cost 108 inf + 12295 247.760 * * [simplify]: Extracting #7: cost 19 inf + 51925 247.778 * * [simplify]: Extracting #8: cost 0 inf + 67087 247.799 * * [simplify]: Extracting #9: cost 0 inf + 65152 247.820 * * [simplify]: Extracting #10: cost 0 inf + 64941 247.840 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 247.840 * [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)))) 247.841 * * * * [progress]: [ 246 / 315 ] simplifiying candidate # 247.841 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 247.841 * * [simplify]: iters left: 5 (4 enodes) 247.848 * * [simplify]: iters left: 4 (14 enodes) 247.851 * * [simplify]: iters left: 3 (16 enodes) 247.854 * * [simplify]: Extracting #0: cost 1 inf + 0 247.855 * * [simplify]: Extracting #1: cost 0 inf + 1 247.855 * [simplify]: Simplified to 1 247.855 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 247.855 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 247.855 * * [simplify]: iters left: 6 (13 enodes) 247.866 * * [simplify]: iters left: 5 (56 enodes) 247.885 * * [simplify]: iters left: 4 (98 enodes) 247.906 * * [simplify]: iters left: 3 (155 enodes) 247.942 * * [simplify]: iters left: 2 (307 enodes) 248.043 * * [simplify]: Extracting #0: cost 1 inf + 0 248.043 * * [simplify]: Extracting #1: cost 48 inf + 0 248.044 * * [simplify]: Extracting #2: cost 126 inf + 1 248.047 * * [simplify]: Extracting #3: cost 169 inf + 127 248.047 * * [simplify]: Extracting #4: cost 170 inf + 593 248.049 * * [simplify]: Extracting #5: cost 117 inf + 10330 248.057 * * [simplify]: Extracting #6: cost 48 inf + 45706 248.080 * * [simplify]: Extracting #7: cost 0 inf + 82409 248.105 * * [simplify]: Extracting #8: cost 0 inf + 80452 248.129 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 248.129 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 248.129 * * * * [progress]: [ 247 / 315 ] simplifiying candidate # 248.130 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 248.130 * * [simplify]: iters left: 6 (14 enodes) 248.139 * * [simplify]: iters left: 5 (62 enodes) 248.160 * * [simplify]: iters left: 4 (105 enodes) 248.182 * * [simplify]: iters left: 3 (170 enodes) 248.212 * * [simplify]: iters left: 2 (312 enodes) 248.286 * * [simplify]: Extracting #0: cost 1 inf + 0 248.286 * * [simplify]: Extracting #1: cost 21 inf + 0 248.286 * * [simplify]: Extracting #2: cost 97 inf + 2 248.287 * * [simplify]: Extracting #3: cost 145 inf + 176 248.288 * * [simplify]: Extracting #4: cost 145 inf + 516 248.291 * * [simplify]: Extracting #5: cost 99 inf + 5697 248.300 * * [simplify]: Extracting #6: cost 28 inf + 32502 248.309 * * [simplify]: Extracting #7: cost 0 inf + 51089 248.317 * * [simplify]: Extracting #8: cost 0 inf + 50565 248.325 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 248.325 * [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)))))) 248.325 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 248.325 * * [simplify]: iters left: 6 (14 enodes) 248.329 * * [simplify]: iters left: 5 (62 enodes) 248.349 * * [simplify]: iters left: 4 (110 enodes) 248.377 * * [simplify]: iters left: 3 (187 enodes) 248.430 * * [simplify]: iters left: 2 (380 enodes) 248.560 * * [simplify]: Extracting #0: cost 1 inf + 0 248.560 * * [simplify]: Extracting #1: cost 50 inf + 0 248.560 * * [simplify]: Extracting #2: cost 132 inf + 1 248.561 * * [simplify]: Extracting #3: cost 186 inf + 127 248.562 * * [simplify]: Extracting #4: cost 181 inf + 2213 248.569 * * [simplify]: Extracting #5: cost 81 inf + 39513 248.601 * * [simplify]: Extracting #6: cost 9 inf + 75521 248.619 * * [simplify]: Extracting #7: cost 0 inf + 78567 248.646 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 248.646 * [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)))) 248.647 * * * * [progress]: [ 248 / 315 ] simplifiying candidate # 248.647 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 248.647 * * [simplify]: iters left: 6 (11 enodes) 248.650 * * [simplify]: iters left: 5 (46 enodes) 248.660 * * [simplify]: iters left: 4 (76 enodes) 248.674 * * [simplify]: iters left: 3 (133 enodes) 248.709 * * [simplify]: iters left: 2 (300 enodes) 248.809 * * [simplify]: Extracting #0: cost 1 inf + 0 248.809 * * [simplify]: Extracting #1: cost 41 inf + 0 248.810 * * [simplify]: Extracting #2: cost 122 inf + 1 248.811 * * [simplify]: Extracting #3: cost 169 inf + 4 248.812 * * [simplify]: Extracting #4: cost 163 inf + 1837 248.816 * * [simplify]: Extracting #5: cost 125 inf + 8927 248.829 * * [simplify]: Extracting #6: cost 30 inf + 57737 248.853 * * [simplify]: Extracting #7: cost 0 inf + 78441 248.873 * * [simplify]: Extracting #8: cost 0 inf + 78400 248.890 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 248.891 * [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)))))) 248.891 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 248.891 * * [simplify]: iters left: 6 (12 enodes) 248.895 * * [simplify]: iters left: 5 (50 enodes) 248.904 * * [simplify]: iters left: 4 (84 enodes) 248.918 * * [simplify]: iters left: 3 (140 enodes) 248.975 * * [simplify]: iters left: 2 (294 enodes) 249.088 * * [simplify]: Extracting #0: cost 1 inf + 0 249.088 * * [simplify]: Extracting #1: cost 40 inf + 0 249.088 * * [simplify]: Extracting #2: cost 122 inf + 1 249.089 * * [simplify]: Extracting #3: cost 171 inf + 3 249.090 * * [simplify]: Extracting #4: cost 174 inf + 505 249.091 * * [simplify]: Extracting #5: cost 130 inf + 8407 249.101 * * [simplify]: Extracting #6: cost 59 inf + 40635 249.112 * * [simplify]: Extracting #7: cost 4 inf + 76862 249.123 * * [simplify]: Extracting #8: cost 0 inf + 79686 249.137 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 249.137 * [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))))) 249.137 * * * * [progress]: [ 249 / 315 ] simplifiying candidate # 249.137 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 249.138 * * [simplify]: iters left: 6 (16 enodes) 249.146 * * [simplify]: iters left: 5 (67 enodes) 249.158 * * [simplify]: iters left: 4 (107 enodes) 249.180 * * [simplify]: iters left: 3 (157 enodes) 249.216 * * [simplify]: iters left: 2 (268 enodes) 249.281 * * [simplify]: iters left: 1 (446 enodes) 249.486 * * [simplify]: Extracting #0: cost 1 inf + 0 249.486 * * [simplify]: Extracting #1: cost 10 inf + 0 249.486 * * [simplify]: Extracting #2: cost 18 inf + 1 249.486 * * [simplify]: Extracting #3: cost 47 inf + 1 249.487 * * [simplify]: Extracting #4: cost 123 inf + 3 249.488 * * [simplify]: Extracting #5: cost 175 inf + 1046 249.493 * * [simplify]: Extracting #6: cost 106 inf + 12283 249.513 * * [simplify]: Extracting #7: cost 28 inf + 50379 249.537 * * [simplify]: Extracting #8: cost 1 inf + 69655 249.556 * * [simplify]: Extracting #9: cost 0 inf + 68607 249.570 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 249.570 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))) 249.570 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 249.570 * * [simplify]: iters left: 6 (15 enodes) 249.575 * * [simplify]: iters left: 5 (62 enodes) 249.587 * * [simplify]: iters left: 4 (96 enodes) 249.602 * * [simplify]: iters left: 3 (138 enodes) 249.648 * * [simplify]: iters left: 2 (246 enodes) 249.713 * * [simplify]: iters left: 1 (422 enodes) 249.861 * * [simplify]: Extracting #0: cost 1 inf + 0 249.861 * * [simplify]: Extracting #1: cost 7 inf + 0 249.861 * * [simplify]: Extracting #2: cost 12 inf + 1 249.861 * * [simplify]: Extracting #3: cost 41 inf + 1 249.862 * * [simplify]: Extracting #4: cost 120 inf + 3 249.862 * * [simplify]: Extracting #5: cost 166 inf + 629 249.866 * * [simplify]: Extracting #6: cost 114 inf + 6750 249.877 * * [simplify]: Extracting #7: cost 45 inf + 28276 249.898 * * [simplify]: Extracting #8: cost 0 inf + 66741 249.925 * * [simplify]: Extracting #9: cost 0 inf + 65778 249.943 * [simplify]: Simplified to (/ (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 249.943 * [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))))) 249.943 * * * * [progress]: [ 250 / 315 ] simplifiying candidate # 249.943 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 249.944 * * [simplify]: iters left: 6 (15 enodes) 249.948 * * [simplify]: iters left: 5 (62 enodes) 249.959 * * [simplify]: iters left: 4 (97 enodes) 249.988 * * [simplify]: iters left: 3 (142 enodes) 250.015 * * [simplify]: iters left: 2 (256 enodes) 250.077 * * [simplify]: iters left: 1 (440 enodes) 250.262 * * [simplify]: Extracting #0: cost 1 inf + 0 250.262 * * [simplify]: Extracting #1: cost 7 inf + 0 250.262 * * [simplify]: Extracting #2: cost 13 inf + 1 250.263 * * [simplify]: Extracting #3: cost 47 inf + 1 250.264 * * [simplify]: Extracting #4: cost 135 inf + 3 250.265 * * [simplify]: Extracting #5: cost 184 inf + 999 250.268 * * [simplify]: Extracting #6: cost 121 inf + 10384 250.275 * * [simplify]: Extracting #7: cost 36 inf + 39493 250.286 * * [simplify]: Extracting #8: cost 0 inf + 71581 250.307 * * [simplify]: Extracting #9: cost 0 inf + 69420 250.333 * * [simplify]: Extracting #10: cost 0 inf + 69180 250.354 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 250.354 * [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))))))) 250.355 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 250.355 * * [simplify]: iters left: 6 (15 enodes) 250.363 * * [simplify]: iters left: 5 (62 enodes) 250.384 * * [simplify]: iters left: 4 (97 enodes) 250.416 * * [simplify]: iters left: 3 (142 enodes) 250.459 * * [simplify]: iters left: 2 (256 enodes) 250.522 * * [simplify]: iters left: 1 (440 enodes) 250.712 * * [simplify]: Extracting #0: cost 1 inf + 0 250.712 * * [simplify]: Extracting #1: cost 7 inf + 0 250.712 * * [simplify]: Extracting #2: cost 13 inf + 1 250.713 * * [simplify]: Extracting #3: cost 47 inf + 1 250.713 * * [simplify]: Extracting #4: cost 135 inf + 3 250.714 * * [simplify]: Extracting #5: cost 184 inf + 999 250.716 * * [simplify]: Extracting #6: cost 121 inf + 10384 250.723 * * [simplify]: Extracting #7: cost 36 inf + 39493 250.733 * * [simplify]: Extracting #8: cost 0 inf + 71581 250.755 * * [simplify]: Extracting #9: cost 0 inf + 69420 250.779 * * [simplify]: Extracting #10: cost 0 inf + 69180 250.792 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 250.792 * [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))))) 250.792 * * * * [progress]: [ 251 / 315 ] simplifiying candidate # 250.793 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 250.793 * * [simplify]: iters left: 6 (6 enodes) 250.795 * * [simplify]: iters left: 5 (20 enodes) 250.798 * * [simplify]: iters left: 4 (24 enodes) 250.802 * * [simplify]: iters left: 3 (25 enodes) 250.805 * * [simplify]: Extracting #0: cost 1 inf + 0 250.805 * * [simplify]: Extracting #1: cost 4 inf + 0 250.805 * * [simplify]: Extracting #2: cost 5 inf + 1 250.805 * * [simplify]: Extracting #3: cost 7 inf + 1 250.805 * * [simplify]: Extracting #4: cost 6 inf + 2 250.805 * * [simplify]: Extracting #5: cost 0 inf + 490 250.806 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 250.806 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 250.806 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 250.806 * * [simplify]: iters left: 6 (14 enodes) 250.810 * * [simplify]: iters left: 5 (59 enodes) 250.821 * * [simplify]: iters left: 4 (101 enodes) 250.848 * * [simplify]: iters left: 3 (158 enodes) 250.910 * * [simplify]: iters left: 2 (310 enodes) 251.025 * * [simplify]: Extracting #0: cost 1 inf + 0 251.025 * * [simplify]: Extracting #1: cost 49 inf + 0 251.026 * * [simplify]: Extracting #2: cost 133 inf + 1 251.026 * * [simplify]: Extracting #3: cost 184 inf + 3 251.027 * * [simplify]: Extracting #4: cost 168 inf + 3864 251.031 * * [simplify]: Extracting #5: cost 102 inf + 25471 251.041 * * [simplify]: Extracting #6: cost 20 inf + 78381 251.065 * * [simplify]: Extracting #7: cost 0 inf + 92783 251.082 * * [simplify]: Extracting #8: cost 0 inf + 90516 251.099 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) 251.099 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 251.099 * * * * [progress]: [ 252 / 315 ] simplifiying candidate # 251.100 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 251.100 * * [simplify]: iters left: 6 (15 enodes) 251.105 * * [simplify]: iters left: 5 (65 enodes) 251.116 * * [simplify]: iters left: 4 (107 enodes) 251.133 * * [simplify]: iters left: 3 (174 enodes) 251.175 * * [simplify]: iters left: 2 (352 enodes) 251.297 * * [simplify]: Extracting #0: cost 1 inf + 0 251.298 * * [simplify]: Extracting #1: cost 49 inf + 0 251.298 * * [simplify]: Extracting #2: cost 130 inf + 1 251.300 * * [simplify]: Extracting #3: cost 184 inf + 3 251.302 * * [simplify]: Extracting #4: cost 171 inf + 3869 251.309 * * [simplify]: Extracting #5: cost 85 inf + 35623 251.323 * * [simplify]: Extracting #6: cost 3 inf + 89634 251.339 * * [simplify]: Extracting #7: cost 0 inf + 89523 251.368 * * [simplify]: Extracting #8: cost 0 inf + 89483 251.387 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 251.387 * [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)))))) 251.388 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 251.388 * * [simplify]: iters left: 6 (15 enodes) 251.392 * * [simplify]: iters left: 5 (65 enodes) 251.404 * * [simplify]: iters left: 4 (107 enodes) 251.436 * * [simplify]: iters left: 3 (174 enodes) 251.487 * * [simplify]: iters left: 2 (352 enodes) 251.598 * * [simplify]: Extracting #0: cost 1 inf + 0 251.598 * * [simplify]: Extracting #1: cost 49 inf + 0 251.599 * * [simplify]: Extracting #2: cost 130 inf + 1 251.600 * * [simplify]: Extracting #3: cost 184 inf + 3 251.602 * * [simplify]: Extracting #4: cost 171 inf + 3869 251.612 * * [simplify]: Extracting #5: cost 85 inf + 35623 251.639 * * [simplify]: Extracting #6: cost 3 inf + 89634 251.667 * * [simplify]: Extracting #7: cost 0 inf + 89523 251.695 * * [simplify]: Extracting #8: cost 0 inf + 89483 251.727 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 251.727 * [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))))) 251.727 * * * * [progress]: [ 253 / 315 ] simplifiying candidate # 251.728 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 251.728 * * [simplify]: iters left: 6 (9 enodes) 251.734 * * [simplify]: iters left: 5 (38 enodes) 251.748 * * [simplify]: iters left: 4 (66 enodes) 251.773 * * [simplify]: iters left: 3 (122 enodes) 251.802 * * [simplify]: iters left: 2 (249 enodes) 251.901 * * [simplify]: Extracting #0: cost 1 inf + 0 251.901 * * [simplify]: Extracting #1: cost 35 inf + 0 251.901 * * [simplify]: Extracting #2: cost 111 inf + 3 251.902 * * [simplify]: Extracting #3: cost 153 inf + 6 251.902 * * [simplify]: Extracting #4: cost 146 inf + 761 251.904 * * [simplify]: Extracting #5: cost 93 inf + 8401 251.909 * * [simplify]: Extracting #6: cost 33 inf + 37537 251.927 * * [simplify]: Extracting #7: cost 3 inf + 59469 251.944 * * [simplify]: Extracting #8: cost 0 inf + 60533 251.961 * * [simplify]: Extracting #9: cost 0 inf + 60140 251.975 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 251.975 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 251.975 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 251.975 * * [simplify]: iters left: 6 (11 enodes) 251.979 * * [simplify]: iters left: 5 (47 enodes) 251.987 * * [simplify]: iters left: 4 (77 enodes) 252.002 * * [simplify]: iters left: 3 (134 enodes) 252.046 * * [simplify]: iters left: 2 (301 enodes) 252.170 * * [simplify]: Extracting #0: cost 1 inf + 0 252.171 * * [simplify]: Extracting #1: cost 41 inf + 0 252.171 * * [simplify]: Extracting #2: cost 125 inf + 1 252.172 * * [simplify]: Extracting #3: cost 168 inf + 168 252.174 * * [simplify]: Extracting #4: cost 159 inf + 2000 252.178 * * [simplify]: Extracting #5: cost 122 inf + 11568 252.192 * * [simplify]: Extracting #6: cost 26 inf + 65741 252.204 * * [simplify]: Extracting #7: cost 0 inf + 82438 252.215 * * [simplify]: Extracting #8: cost 0 inf + 80977 252.229 * * [simplify]: Extracting #9: cost 0 inf + 79587 252.250 * * [simplify]: Extracting #10: cost 0 inf + 79326 252.264 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 252.264 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 252.264 * * * * [progress]: [ 254 / 315 ] simplifiying candidate # 252.264 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 252.264 * * [simplify]: iters left: 6 (14 enodes) 252.269 * * [simplify]: iters left: 5 (59 enodes) 252.279 * * [simplify]: iters left: 4 (97 enodes) 252.296 * * [simplify]: iters left: 3 (148 enodes) 252.332 * * [simplify]: iters left: 2 (242 enodes) 252.404 * * [simplify]: iters left: 1 (422 enodes) 252.550 * * [simplify]: Extracting #0: cost 1 inf + 0 252.550 * * [simplify]: Extracting #1: cost 6 inf + 0 252.550 * * [simplify]: Extracting #2: cost 9 inf + 1 252.551 * * [simplify]: Extracting #3: cost 38 inf + 1 252.551 * * [simplify]: Extracting #4: cost 115 inf + 2 252.553 * * [simplify]: Extracting #5: cost 162 inf + 218 252.554 * * [simplify]: Extracting #6: cost 165 inf + 642 252.559 * * [simplify]: Extracting #7: cost 105 inf + 8961 252.569 * * [simplify]: Extracting #8: cost 47 inf + 28839 252.588 * * [simplify]: Extracting #9: cost 9 inf + 63065 252.612 * * [simplify]: Extracting #10: cost 0 inf + 70139 252.636 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 252.636 * [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))))))) 252.636 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 252.636 * * [simplify]: iters left: 6 (14 enodes) 252.640 * * [simplify]: iters left: 5 (59 enodes) 252.651 * * [simplify]: iters left: 4 (97 enodes) 252.669 * * [simplify]: iters left: 3 (137 enodes) 252.708 * * [simplify]: iters left: 2 (229 enodes) 252.772 * * [simplify]: iters left: 1 (418 enodes) 252.934 * * [simplify]: Extracting #0: cost 1 inf + 0 252.934 * * [simplify]: Extracting #1: cost 7 inf + 0 252.935 * * [simplify]: Extracting #2: cost 12 inf + 1 252.935 * * [simplify]: Extracting #3: cost 37 inf + 2 252.935 * * [simplify]: Extracting #4: cost 113 inf + 167 252.936 * * [simplify]: Extracting #5: cost 171 inf + 465 252.938 * * [simplify]: Extracting #6: cost 115 inf + 10076 252.949 * * [simplify]: Extracting #7: cost 33 inf + 38791 252.958 * * [simplify]: Extracting #8: cost 2 inf + 65463 252.974 * * [simplify]: Extracting #9: cost 0 inf + 67128 252.994 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 252.994 * [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)))) 252.994 * * * * [progress]: [ 255 / 315 ] simplifiying candidate # 252.994 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 252.995 * * [simplify]: iters left: 6 (13 enodes) 253.002 * * [simplify]: iters left: 5 (54 enodes) 253.014 * * [simplify]: iters left: 4 (89 enodes) 253.029 * * [simplify]: iters left: 3 (134 enodes) 253.067 * * [simplify]: iters left: 2 (217 enodes) 253.125 * * [simplify]: iters left: 1 (399 enodes) 253.285 * * [simplify]: Extracting #0: cost 1 inf + 0 253.285 * * [simplify]: Extracting #1: cost 6 inf + 0 253.285 * * [simplify]: Extracting #2: cost 37 inf + 1 253.285 * * [simplify]: Extracting #3: cost 121 inf + 2 253.286 * * [simplify]: Extracting #4: cost 170 inf + 177 253.287 * * [simplify]: Extracting #5: cost 161 inf + 933 253.292 * * [simplify]: Extracting #6: cost 79 inf + 14897 253.308 * * [simplify]: Extracting #7: cost 10 inf + 55657 253.327 * * [simplify]: Extracting #8: cost 0 inf + 64916 253.344 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 253.344 * [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))))))) 253.345 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 253.345 * * [simplify]: iters left: 6 (14 enodes) 253.349 * * [simplify]: iters left: 5 (59 enodes) 253.359 * * [simplify]: iters left: 4 (98 enodes) 253.378 * * [simplify]: iters left: 3 (138 enodes) 253.403 * * [simplify]: iters left: 2 (231 enodes) 253.457 * * [simplify]: iters left: 1 (408 enodes) 253.648 * * [simplify]: Extracting #0: cost 1 inf + 0 253.648 * * [simplify]: Extracting #1: cost 7 inf + 0 253.649 * * [simplify]: Extracting #2: cost 13 inf + 1 253.649 * * [simplify]: Extracting #3: cost 39 inf + 2 253.650 * * [simplify]: Extracting #4: cost 126 inf + 167 253.651 * * [simplify]: Extracting #5: cost 170 inf + 590 253.656 * * [simplify]: Extracting #6: cost 108 inf + 12295 253.673 * * [simplify]: Extracting #7: cost 19 inf + 51925 253.684 * * [simplify]: Extracting #8: cost 0 inf + 67087 253.694 * * [simplify]: Extracting #9: cost 0 inf + 65152 253.707 * * [simplify]: Extracting #10: cost 0 inf + 64941 253.728 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)) 253.728 * [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)))) 253.728 * * * * [progress]: [ 256 / 315 ] simplifiying candidate # 253.728 * [simplify]: Simplifying (/ 1 (/ 1 1)) 253.728 * * [simplify]: iters left: 4 (3 enodes) 253.730 * * [simplify]: iters left: 3 (7 enodes) 253.732 * * [simplify]: iters left: 2 (9 enodes) 253.735 * * [simplify]: Extracting #0: cost 1 inf + 0 253.735 * * [simplify]: Extracting #1: cost 0 inf + 1 253.735 * [simplify]: Simplified to 1 253.735 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 253.735 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 253.735 * * [simplify]: iters left: 6 (13 enodes) 253.742 * * [simplify]: iters left: 5 (56 enodes) 253.762 * * [simplify]: iters left: 4 (98 enodes) 253.796 * * [simplify]: iters left: 3 (155 enodes) 253.853 * * [simplify]: iters left: 2 (307 enodes) 253.978 * * [simplify]: Extracting #0: cost 1 inf + 0 253.978 * * [simplify]: Extracting #1: cost 48 inf + 0 253.979 * * [simplify]: Extracting #2: cost 126 inf + 1 253.980 * * [simplify]: Extracting #3: cost 169 inf + 127 253.981 * * [simplify]: Extracting #4: cost 170 inf + 593 253.985 * * [simplify]: Extracting #5: cost 117 inf + 10330 253.998 * * [simplify]: Extracting #6: cost 48 inf + 45706 254.014 * * [simplify]: Extracting #7: cost 0 inf + 82409 254.033 * * [simplify]: Extracting #8: cost 0 inf + 80452 254.058 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 254.058 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 254.059 * * * * [progress]: [ 257 / 315 ] simplifiying candidate # 254.059 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 254.059 * * [simplify]: iters left: 6 (13 enodes) 254.064 * * [simplify]: iters left: 5 (57 enodes) 254.074 * * [simplify]: iters left: 4 (96 enodes) 254.094 * * [simplify]: iters left: 3 (170 enodes) 254.143 * * [simplify]: iters left: 2 (338 enodes) 254.280 * * [simplify]: Extracting #0: cost 1 inf + 0 254.280 * * [simplify]: Extracting #1: cost 31 inf + 0 254.281 * * [simplify]: Extracting #2: cost 119 inf + 2 254.282 * * [simplify]: Extracting #3: cost 167 inf + 301 254.283 * * [simplify]: Extracting #4: cost 166 inf + 724 254.285 * * [simplify]: Extracting #5: cost 109 inf + 7297 254.289 * * [simplify]: Extracting #6: cost 60 inf + 23820 254.298 * * [simplify]: Extracting #7: cost 11 inf + 60641 254.309 * * [simplify]: Extracting #8: cost 0 inf + 69011 254.330 * * [simplify]: Extracting #9: cost 0 inf + 68255 254.349 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 254.349 * [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)))))) 254.350 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 254.350 * * [simplify]: iters left: 6 (14 enodes) 254.354 * * [simplify]: iters left: 5 (62 enodes) 254.365 * * [simplify]: iters left: 4 (110 enodes) 254.387 * * [simplify]: iters left: 3 (187 enodes) 254.445 * * [simplify]: iters left: 2 (380 enodes) 254.571 * * [simplify]: Extracting #0: cost 1 inf + 0 254.572 * * [simplify]: Extracting #1: cost 50 inf + 0 254.572 * * [simplify]: Extracting #2: cost 132 inf + 1 254.573 * * [simplify]: Extracting #3: cost 186 inf + 127 254.574 * * [simplify]: Extracting #4: cost 181 inf + 2213 254.581 * * [simplify]: Extracting #5: cost 81 inf + 39513 254.606 * * [simplify]: Extracting #6: cost 9 inf + 75521 254.625 * * [simplify]: Extracting #7: cost 0 inf + 78567 254.659 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (sqrt k)) 254.659 * [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)))) 254.659 * * * * [progress]: [ 258 / 315 ] simplifiying candidate # 254.659 * [simplify]: Simplifying (/ 1 1) 254.659 * * [simplify]: iters left: 2 (2 enodes) 254.660 * * [simplify]: iters left: 1 (6 enodes) 254.662 * * [simplify]: Extracting #0: cost 1 inf + 0 254.662 * * [simplify]: Extracting #1: cost 0 inf + 1 254.662 * [simplify]: Simplified to 1 254.662 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 254.662 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 254.662 * * [simplify]: iters left: 6 (13 enodes) 254.666 * * [simplify]: iters left: 5 (56 enodes) 254.676 * * [simplify]: iters left: 4 (98 enodes) 254.695 * * [simplify]: iters left: 3 (155 enodes) 254.741 * * [simplify]: iters left: 2 (307 enodes) 254.835 * * [simplify]: Extracting #0: cost 1 inf + 0 254.836 * * [simplify]: Extracting #1: cost 48 inf + 0 254.836 * * [simplify]: Extracting #2: cost 126 inf + 1 254.836 * * [simplify]: Extracting #3: cost 169 inf + 127 254.837 * * [simplify]: Extracting #4: cost 170 inf + 593 254.839 * * [simplify]: Extracting #5: cost 117 inf + 10330 254.848 * * [simplify]: Extracting #6: cost 48 inf + 45706 254.871 * * [simplify]: Extracting #7: cost 0 inf + 82409 254.884 * * [simplify]: Extracting #8: cost 0 inf + 80452 254.897 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 254.897 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 254.897 * * * * [progress]: [ 259 / 315 ] simplifiying candidate # 254.897 * [simplify]: Simplifying (/ 1 (sqrt k)) 254.897 * * [simplify]: iters left: 3 (4 enodes) 254.899 * * [simplify]: iters left: 2 (14 enodes) 254.901 * * [simplify]: iters left: 1 (16 enodes) 254.905 * * [simplify]: Extracting #0: cost 1 inf + 0 254.905 * * [simplify]: Extracting #1: cost 4 inf + 0 254.905 * * [simplify]: Extracting #2: cost 5 inf + 1 254.905 * * [simplify]: Extracting #3: cost 3 inf + 43 254.905 * * [simplify]: Extracting #4: cost 1 inf + 166 254.905 * * [simplify]: Extracting #5: cost 0 inf + 248 254.905 * [simplify]: Simplified to (/ 1 (sqrt k)) 254.905 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 254.906 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 254.906 * * [simplify]: iters left: 6 (12 enodes) 254.912 * * [simplify]: iters left: 5 (51 enodes) 254.922 * * [simplify]: iters left: 4 (87 enodes) 254.940 * * [simplify]: iters left: 3 (149 enodes) 254.972 * * [simplify]: iters left: 2 (278 enodes) 255.114 * * [simplify]: Extracting #0: cost 1 inf + 0 255.115 * * [simplify]: Extracting #1: cost 33 inf + 0 255.115 * * [simplify]: Extracting #2: cost 113 inf + 2 255.116 * * [simplify]: Extracting #3: cost 153 inf + 174 255.118 * * [simplify]: Extracting #4: cost 140 inf + 2184 255.122 * * [simplify]: Extracting #5: cost 90 inf + 12470 255.134 * * [simplify]: Extracting #6: cost 38 inf + 35329 255.152 * * [simplify]: Extracting #7: cost 6 inf + 59490 255.177 * * [simplify]: Extracting #8: cost 0 inf + 63438 255.197 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 2)) 255.197 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (/ (- 1 k) 2)))) 255.197 * * * * [progress]: [ 260 / 315 ] simplifiying candidate # 255.198 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 255.198 * * [simplify]: iters left: 6 (12 enodes) 255.205 * * [simplify]: iters left: 5 (48 enodes) 255.221 * * [simplify]: iters left: 4 (83 enodes) 255.255 * * [simplify]: iters left: 3 (143 enodes) 255.322 * * [simplify]: iters left: 2 (290 enodes) 255.420 * * [simplify]: Extracting #0: cost 1 inf + 0 255.420 * * [simplify]: Extracting #1: cost 38 inf + 0 255.421 * * [simplify]: Extracting #2: cost 103 inf + 1 255.421 * * [simplify]: Extracting #3: cost 102 inf + 255 255.422 * * [simplify]: Extracting #4: cost 95 inf + 714 255.423 * * [simplify]: Extracting #5: cost 69 inf + 9869 255.428 * * [simplify]: Extracting #6: cost 5 inf + 47179 255.437 * * [simplify]: Extracting #7: cost 0 inf + 51073 255.449 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 255.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ k 2))))) 255.449 * [simplify]: Simplifying (/ 1 (pow (* n (* 2 PI)) (/ k 2))) 255.449 * * [simplify]: iters left: 6 (10 enodes) 255.455 * * [simplify]: iters left: 5 (39 enodes) 255.464 * * [simplify]: iters left: 4 (63 enodes) 255.477 * * [simplify]: iters left: 3 (98 enodes) 255.498 * * [simplify]: iters left: 2 (168 enodes) 255.542 * * [simplify]: iters left: 1 (314 enodes) 255.657 * * [simplify]: Extracting #0: cost 1 inf + 0 255.658 * * [simplify]: Extracting #1: cost 6 inf + 0 255.658 * * [simplify]: Extracting #2: cost 39 inf + 1 255.658 * * [simplify]: Extracting #3: cost 125 inf + 2 255.660 * * [simplify]: Extracting #4: cost 146 inf + 259 255.662 * * [simplify]: Extracting #5: cost 95 inf + 7006 255.673 * * [simplify]: Extracting #6: cost 27 inf + 45727 255.685 * * [simplify]: Extracting #7: cost 0 inf + 60836 255.697 * * [simplify]: Extracting #8: cost 0 inf + 56773 255.715 * * [simplify]: Extracting #9: cost 0 inf + 56632 255.740 * [simplify]: Simplified to (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))) 255.740 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (* 2 PI))) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1/2 k))))) 255.740 * * * * [progress]: [ 261 / 315 ] simplifiying candidate # 255.740 * * * * [progress]: [ 262 / 315 ] simplifiying candidate # 255.741 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 255.741 * * [simplify]: iters left: 6 (13 enodes) 255.748 * * [simplify]: iters left: 5 (56 enodes) 255.761 * * [simplify]: iters left: 4 (98 enodes) 255.784 * * [simplify]: iters left: 3 (155 enodes) 255.843 * * [simplify]: iters left: 2 (307 enodes) 255.947 * * [simplify]: Extracting #0: cost 1 inf + 0 255.947 * * [simplify]: Extracting #1: cost 48 inf + 0 255.947 * * [simplify]: Extracting #2: cost 126 inf + 1 255.948 * * [simplify]: Extracting #3: cost 169 inf + 127 255.949 * * [simplify]: Extracting #4: cost 170 inf + 593 255.951 * * [simplify]: Extracting #5: cost 117 inf + 10330 255.960 * * [simplify]: Extracting #6: cost 48 inf + 45706 255.986 * * [simplify]: Extracting #7: cost 0 inf + 82409 256.003 * * [simplify]: Extracting #8: cost 0 inf + 80452 256.017 * [simplify]: Simplified to (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)) 256.017 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))) 256.017 * * * * [progress]: [ 263 / 315 ] simplifiying candidate # 256.017 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 256.017 * * [simplify]: iters left: 6 (13 enodes) 256.021 * * [simplify]: iters left: 5 (54 enodes) 256.038 * * [simplify]: iters left: 4 (94 enodes) 256.069 * * [simplify]: iters left: 3 (148 enodes) 256.106 * * [simplify]: iters left: 2 (255 enodes) 256.187 * * [simplify]: Extracting #0: cost 1 inf + 0 256.187 * * [simplify]: Extracting #1: cost 19 inf + 0 256.188 * * [simplify]: Extracting #2: cost 62 inf + 1 256.188 * * [simplify]: Extracting #3: cost 116 inf + 45 256.188 * * [simplify]: Extracting #4: cost 117 inf + 717 256.190 * * [simplify]: Extracting #5: cost 75 inf + 7391 256.197 * * [simplify]: Extracting #6: cost 19 inf + 32505 256.203 * * [simplify]: Extracting #7: cost 0 inf + 45979 256.217 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 256.217 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 256.217 * * * * [progress]: [ 264 / 315 ] simplifiying candidate # 256.218 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 256.218 * * [simplify]: iters left: 6 (15 enodes) 256.227 * * [simplify]: iters left: 5 (62 enodes) 256.245 * * [simplify]: iters left: 4 (99 enodes) 256.260 * * [simplify]: iters left: 3 (145 enodes) 256.296 * * [simplify]: iters left: 2 (236 enodes) 256.356 * * [simplify]: iters left: 1 (421 enodes) 256.531 * * [simplify]: Extracting #0: cost 1 inf + 0 256.531 * * [simplify]: Extracting #1: cost 6 inf + 0 256.532 * * [simplify]: Extracting #2: cost 9 inf + 1 256.532 * * [simplify]: Extracting #3: cost 14 inf + 1 256.532 * * [simplify]: Extracting #4: cost 44 inf + 1 256.533 * * [simplify]: Extracting #5: cost 133 inf + 3 256.534 * * [simplify]: Extracting #6: cost 173 inf + 593 256.539 * * [simplify]: Extracting #7: cost 109 inf + 16309 256.552 * * [simplify]: Extracting #8: cost 42 inf + 41790 256.566 * * [simplify]: Extracting #9: cost 10 inf + 67327 256.577 * * [simplify]: Extracting #10: cost 0 inf + 73972 256.588 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))) 256.588 * [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)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 256.588 * * * * [progress]: [ 265 / 315 ] simplifiying candidate # 256.588 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 256.589 * * [simplify]: iters left: 6 (14 enodes) 256.595 * * [simplify]: iters left: 5 (57 enodes) 256.605 * * [simplify]: iters left: 4 (92 enodes) 256.619 * * [simplify]: iters left: 3 (134 enodes) 256.642 * * [simplify]: iters left: 2 (220 enodes) 256.687 * * [simplify]: iters left: 1 (418 enodes) 256.883 * * [simplify]: Extracting #0: cost 1 inf + 0 256.883 * * [simplify]: Extracting #1: cost 4 inf + 0 256.883 * * [simplify]: Extracting #2: cost 5 inf + 1 256.883 * * [simplify]: Extracting #3: cost 10 inf + 1 256.883 * * [simplify]: Extracting #4: cost 50 inf + 1 256.883 * * [simplify]: Extracting #5: cost 150 inf + 3 256.884 * * [simplify]: Extracting #6: cost 192 inf + 1169 256.887 * * [simplify]: Extracting #7: cost 122 inf + 17151 256.897 * * [simplify]: Extracting #8: cost 17 inf + 72818 256.910 * * [simplify]: Extracting #9: cost 0 inf + 83331 256.924 * * [simplify]: Extracting #10: cost 0 inf + 82728 256.936 * * [simplify]: Extracting #11: cost 0 inf + 82687 256.952 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 256.952 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 256.952 * * * * [progress]: [ 266 / 315 ] simplifiying candidate # 256.952 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) 256.952 * * [simplify]: iters left: 6 (12 enodes) 256.956 * * [simplify]: iters left: 5 (51 enodes) 256.966 * * [simplify]: iters left: 4 (95 enodes) 256.984 * * [simplify]: iters left: 3 (186 enodes) 257.031 * * [simplify]: iters left: 2 (447 enodes) 257.317 * * [simplify]: Extracting #0: cost 1 inf + 0 257.317 * * [simplify]: Extracting #1: cost 93 inf + 0 257.318 * * [simplify]: Extracting #2: cost 266 inf + 1 257.319 * * [simplify]: Extracting #3: cost 329 inf + 4 257.321 * * [simplify]: Extracting #4: cost 301 inf + 11072 257.330 * * [simplify]: Extracting #5: cost 170 inf + 67868 257.359 * * [simplify]: Extracting #6: cost 25 inf + 166495 257.396 * * [simplify]: Extracting #7: cost 0 inf + 185694 257.451 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.452 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 257.452 * * * * [progress]: [ 267 / 315 ] simplifiying candidate # 257.452 * [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)))))) 257.452 * * [simplify]: iters left: 6 (17 enodes) 257.462 * * [simplify]: iters left: 5 (74 enodes) 257.486 * * [simplify]: iters left: 4 (132 enodes) 257.529 * * [simplify]: iters left: 3 (208 enodes) 257.609 * * [simplify]: iters left: 2 (355 enodes) 257.713 * * [simplify]: Extracting #0: cost 1 inf + 0 257.713 * * [simplify]: Extracting #1: cost 17 inf + 0 257.713 * * [simplify]: Extracting #2: cost 31 inf + 1 257.714 * * [simplify]: Extracting #3: cost 46 inf + 1 257.714 * * [simplify]: Extracting #4: cost 94 inf + 3 257.714 * * [simplify]: Extracting #5: cost 115 inf + 1232 257.716 * * [simplify]: Extracting #6: cost 62 inf + 14455 257.722 * * [simplify]: Extracting #7: cost 19 inf + 29814 257.728 * * [simplify]: Extracting #8: cost 2 inf + 40119 257.735 * * [simplify]: Extracting #9: cost 0 inf + 41151 257.746 * [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)))) 257.747 * [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)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 257.747 * * * * [progress]: [ 268 / 315 ] simplifiying candidate # 257.747 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 257.747 * * [simplify]: iters left: 6 (16 enodes) 257.756 * * [simplify]: iters left: 5 (67 enodes) 257.777 * * [simplify]: iters left: 4 (109 enodes) 257.805 * * [simplify]: iters left: 3 (167 enodes) 257.845 * * [simplify]: iters left: 2 (292 enodes) 257.932 * * [simplify]: iters left: 1 (469 enodes) 258.121 * * [simplify]: Extracting #0: cost 1 inf + 0 258.121 * * [simplify]: Extracting #1: cost 12 inf + 0 258.122 * * [simplify]: Extracting #2: cost 22 inf + 1 258.122 * * [simplify]: Extracting #3: cost 54 inf + 1 258.122 * * [simplify]: Extracting #4: cost 143 inf + 3 258.123 * * [simplify]: Extracting #5: cost 181 inf + 831 258.128 * * [simplify]: Extracting #6: cost 111 inf + 12253 258.140 * * [simplify]: Extracting #7: cost 47 inf + 31059 258.161 * * [simplify]: Extracting #8: cost 8 inf + 62803 258.184 * * [simplify]: Extracting #9: cost 0 inf + 69589 258.207 * * [simplify]: Extracting #10: cost 0 inf + 68170 258.220 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 258.220 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 258.220 * * * * [progress]: [ 269 / 315 ] simplifiying candidate # 258.220 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 258.220 * * [simplify]: iters left: 6 (7 enodes) 258.222 * * [simplify]: iters left: 5 (25 enodes) 258.230 * * [simplify]: iters left: 4 (38 enodes) 258.235 * * [simplify]: iters left: 3 (42 enodes) 258.247 * * [simplify]: Extracting #0: cost 1 inf + 0 258.247 * * [simplify]: Extracting #1: cost 6 inf + 0 258.247 * * [simplify]: Extracting #2: cost 9 inf + 1 258.247 * * [simplify]: Extracting #3: cost 11 inf + 1 258.247 * * [simplify]: Extracting #4: cost 10 inf + 2 258.247 * * [simplify]: Extracting #5: cost 2 inf + 1093 258.248 * * [simplify]: Extracting #6: cost 0 inf + 1376 258.248 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 258.248 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 258.248 * * * * [progress]: [ 270 / 315 ] simplifiying candidate # 258.249 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 258.249 * * [simplify]: iters left: 6 (16 enodes) 258.257 * * [simplify]: iters left: 5 (70 enodes) 258.270 * * [simplify]: iters left: 4 (125 enodes) 258.292 * * [simplify]: iters left: 3 (234 enodes) 258.373 * * [simplify]: Extracting #0: cost 1 inf + 0 258.373 * * [simplify]: Extracting #1: cost 32 inf + 0 258.374 * * [simplify]: Extracting #2: cost 100 inf + 1 258.374 * * [simplify]: Extracting #3: cost 144 inf + 2 258.375 * * [simplify]: Extracting #4: cost 143 inf + 706 258.377 * * [simplify]: Extracting #5: cost 86 inf + 11932 258.383 * * [simplify]: Extracting #6: cost 14 inf + 46608 258.391 * * [simplify]: Extracting #7: cost 0 inf + 57375 258.400 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 258.400 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 258.400 * * * * [progress]: [ 271 / 315 ] simplifiying candidate # 258.400 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) 258.401 * * [simplify]: iters left: 6 (12 enodes) 258.404 * * [simplify]: iters left: 5 (50 enodes) 258.417 * * [simplify]: iters left: 4 (84 enodes) 258.433 * * [simplify]: iters left: 3 (136 enodes) 258.460 * * [simplify]: iters left: 2 (285 enodes) 258.584 * * [simplify]: Extracting #0: cost 1 inf + 0 258.584 * * [simplify]: Extracting #1: cost 46 inf + 0 258.584 * * [simplify]: Extracting #2: cost 130 inf + 1 258.585 * * [simplify]: Extracting #3: cost 175 inf + 4 258.586 * * [simplify]: Extracting #4: cost 173 inf + 871 258.588 * * [simplify]: Extracting #5: cost 129 inf + 8821 258.593 * * [simplify]: Extracting #6: cost 42 inf + 52243 258.607 * * [simplify]: Extracting #7: cost 1 inf + 81140 258.617 * * [simplify]: Extracting #8: cost 0 inf + 81414 258.628 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 258.628 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 258.628 * * * * [progress]: [ 272 / 315 ] simplifiying candidate # 258.628 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 258.628 * * [simplify]: iters left: 6 (17 enodes) 258.633 * * [simplify]: iters left: 5 (71 enodes) 258.647 * * [simplify]: iters left: 4 (111 enodes) 258.682 * * [simplify]: iters left: 3 (164 enodes) 258.728 * * [simplify]: iters left: 2 (280 enodes) 258.793 * * [simplify]: iters left: 1 (473 enodes) 258.997 * * [simplify]: Extracting #0: cost 1 inf + 0 258.997 * * [simplify]: Extracting #1: cost 10 inf + 0 258.997 * * [simplify]: Extracting #2: cost 19 inf + 1 258.997 * * [simplify]: Extracting #3: cost 49 inf + 1 258.998 * * [simplify]: Extracting #4: cost 127 inf + 3 259.000 * * [simplify]: Extracting #5: cost 183 inf + 700 259.003 * * [simplify]: Extracting #6: cost 129 inf + 7479 259.014 * * [simplify]: Extracting #7: cost 49 inf + 36118 259.039 * * [simplify]: Extracting #8: cost 8 inf + 65757 259.064 * * [simplify]: Extracting #9: cost 0 inf + 72087 259.088 * * [simplify]: Extracting #10: cost 0 inf + 71504 259.112 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (cbrt (pow (* (* PI 2) n) (* 1/2 (- 1 k))))) (fabs (cbrt k))) 259.112 * [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))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 259.112 * * * * [progress]: [ 273 / 315 ] simplifiying candidate # 259.113 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 259.113 * * [simplify]: iters left: 6 (16 enodes) 259.122 * * [simplify]: iters left: 5 (66 enodes) 259.143 * * [simplify]: iters left: 4 (101 enodes) 259.174 * * [simplify]: iters left: 3 (146 enodes) 259.230 * * [simplify]: iters left: 2 (257 enodes) 259.294 * * [simplify]: iters left: 1 (422 enodes) 259.454 * * [simplify]: Extracting #0: cost 1 inf + 0 259.454 * * [simplify]: Extracting #1: cost 7 inf + 0 259.455 * * [simplify]: Extracting #2: cost 14 inf + 1 259.455 * * [simplify]: Extracting #3: cost 47 inf + 1 259.455 * * [simplify]: Extracting #4: cost 129 inf + 3 259.457 * * [simplify]: Extracting #5: cost 175 inf + 1624 259.464 * * [simplify]: Extracting #6: cost 85 inf + 21043 259.482 * * [simplify]: Extracting #7: cost 6 inf + 63465 259.503 * * [simplify]: Extracting #8: cost 0 inf + 67276 259.526 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) 259.526 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (* 1/2 (- 1 k)))) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 259.527 * * * * [progress]: [ 274 / 315 ] simplifiying candidate # 259.527 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 259.527 * * [simplify]: iters left: 6 (7 enodes) 259.531 * * [simplify]: iters left: 5 (23 enodes) 259.539 * * [simplify]: iters left: 4 (29 enodes) 259.550 * * [simplify]: Extracting #0: cost 1 inf + 0 259.550 * * [simplify]: Extracting #1: cost 4 inf + 0 259.550 * * [simplify]: Extracting #2: cost 6 inf + 1 259.550 * * [simplify]: Extracting #3: cost 9 inf + 1 259.550 * * [simplify]: Extracting #4: cost 8 inf + 2 259.550 * * [simplify]: Extracting #5: cost 2 inf + 689 259.551 * * [simplify]: Extracting #6: cost 0 inf + 972 259.551 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 259.551 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 259.551 * * * * [progress]: [ 275 / 315 ] simplifiying candidate # 259.552 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 259.552 * * [simplify]: iters left: 6 (16 enodes) 259.561 * * [simplify]: iters left: 5 (69 enodes) 259.573 * * [simplify]: iters left: 4 (111 enodes) 259.599 * * [simplify]: iters left: 3 (178 enodes) 259.640 * * [simplify]: iters left: 2 (354 enodes) 259.745 * * [simplify]: Extracting #0: cost 1 inf + 0 259.745 * * [simplify]: Extracting #1: cost 39 inf + 0 259.745 * * [simplify]: Extracting #2: cost 119 inf + 1 259.746 * * [simplify]: Extracting #3: cost 175 inf + 3 259.746 * * [simplify]: Extracting #4: cost 182 inf + 711 259.748 * * [simplify]: Extracting #5: cost 134 inf + 11291 259.755 * * [simplify]: Extracting #6: cost 49 inf + 49694 259.778 * * [simplify]: Extracting #7: cost 3 inf + 85206 259.802 * * [simplify]: Extracting #8: cost 0 inf + 86723 259.818 * * [simplify]: Extracting #9: cost 0 inf + 86484 259.832 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 259.832 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 259.832 * * * * [progress]: [ 276 / 315 ] simplifiying candidate # 259.832 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 259.832 * * [simplify]: iters left: 6 (11 enodes) 259.836 * * [simplify]: iters left: 5 (46 enodes) 259.844 * * [simplify]: iters left: 4 (76 enodes) 259.858 * * [simplify]: iters left: 3 (133 enodes) 259.890 * * [simplify]: iters left: 2 (300 enodes) 259.977 * * [simplify]: Extracting #0: cost 1 inf + 0 259.978 * * [simplify]: Extracting #1: cost 41 inf + 0 259.978 * * [simplify]: Extracting #2: cost 122 inf + 1 259.979 * * [simplify]: Extracting #3: cost 169 inf + 4 259.981 * * [simplify]: Extracting #4: cost 163 inf + 1837 259.984 * * [simplify]: Extracting #5: cost 125 inf + 8927 259.998 * * [simplify]: Extracting #6: cost 30 inf + 57737 260.019 * * [simplify]: Extracting #7: cost 0 inf + 78441 260.039 * * [simplify]: Extracting #8: cost 0 inf + 78400 260.059 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 260.060 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 260.060 * * * * [progress]: [ 277 / 315 ] simplifiying candidate # 260.060 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 260.060 * * [simplify]: iters left: 6 (16 enodes) 260.069 * * [simplify]: iters left: 5 (67 enodes) 260.091 * * [simplify]: iters left: 4 (107 enodes) 260.110 * * [simplify]: iters left: 3 (157 enodes) 260.141 * * [simplify]: iters left: 2 (268 enodes) 260.199 * * [simplify]: iters left: 1 (446 enodes) 260.361 * * [simplify]: Extracting #0: cost 1 inf + 0 260.362 * * [simplify]: Extracting #1: cost 10 inf + 0 260.362 * * [simplify]: Extracting #2: cost 18 inf + 1 260.362 * * [simplify]: Extracting #3: cost 47 inf + 1 260.363 * * [simplify]: Extracting #4: cost 123 inf + 3 260.364 * * [simplify]: Extracting #5: cost 175 inf + 1046 260.369 * * [simplify]: Extracting #6: cost 106 inf + 12283 260.389 * * [simplify]: Extracting #7: cost 28 inf + 50379 260.414 * * [simplify]: Extracting #8: cost 1 inf + 69655 260.441 * * [simplify]: Extracting #9: cost 0 inf + 68607 260.470 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 260.470 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 260.470 * * * * [progress]: [ 278 / 315 ] simplifiying candidate # 260.470 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 260.471 * * [simplify]: iters left: 6 (15 enodes) 260.479 * * [simplify]: iters left: 5 (62 enodes) 260.500 * * [simplify]: iters left: 4 (97 enodes) 260.530 * * [simplify]: iters left: 3 (142 enodes) 260.561 * * [simplify]: iters left: 2 (256 enodes) 260.618 * * [simplify]: iters left: 1 (440 enodes) 260.822 * * [simplify]: Extracting #0: cost 1 inf + 0 260.822 * * [simplify]: Extracting #1: cost 7 inf + 0 260.822 * * [simplify]: Extracting #2: cost 13 inf + 1 260.823 * * [simplify]: Extracting #3: cost 47 inf + 1 260.823 * * [simplify]: Extracting #4: cost 135 inf + 3 260.825 * * [simplify]: Extracting #5: cost 184 inf + 999 260.830 * * [simplify]: Extracting #6: cost 121 inf + 10384 260.842 * * [simplify]: Extracting #7: cost 36 inf + 39493 260.867 * * [simplify]: Extracting #8: cost 0 inf + 71581 260.889 * * [simplify]: Extracting #9: cost 0 inf + 69420 260.910 * * [simplify]: Extracting #10: cost 0 inf + 69180 260.926 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 260.926 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 260.926 * * * * [progress]: [ 279 / 315 ] simplifiying candidate # 260.926 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 260.926 * * [simplify]: iters left: 6 (6 enodes) 260.928 * * [simplify]: iters left: 5 (20 enodes) 260.932 * * [simplify]: iters left: 4 (24 enodes) 260.935 * * [simplify]: iters left: 3 (25 enodes) 260.938 * * [simplify]: Extracting #0: cost 1 inf + 0 260.938 * * [simplify]: Extracting #1: cost 4 inf + 0 260.939 * * [simplify]: Extracting #2: cost 5 inf + 1 260.939 * * [simplify]: Extracting #3: cost 7 inf + 1 260.939 * * [simplify]: Extracting #4: cost 6 inf + 2 260.939 * * [simplify]: Extracting #5: cost 0 inf + 490 260.939 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 260.939 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 260.939 * * * * [progress]: [ 280 / 315 ] simplifiying candidate # 260.939 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 260.939 * * [simplify]: iters left: 6 (15 enodes) 260.944 * * [simplify]: iters left: 5 (65 enodes) 260.957 * * [simplify]: iters left: 4 (107 enodes) 260.995 * * [simplify]: iters left: 3 (174 enodes) 261.063 * * [simplify]: iters left: 2 (352 enodes) 261.189 * * [simplify]: Extracting #0: cost 1 inf + 0 261.189 * * [simplify]: Extracting #1: cost 49 inf + 0 261.190 * * [simplify]: Extracting #2: cost 130 inf + 1 261.191 * * [simplify]: Extracting #3: cost 184 inf + 3 261.193 * * [simplify]: Extracting #4: cost 171 inf + 3869 261.207 * * [simplify]: Extracting #5: cost 85 inf + 35623 261.230 * * [simplify]: Extracting #6: cost 3 inf + 89634 261.247 * * [simplify]: Extracting #7: cost 0 inf + 89523 261.262 * * [simplify]: Extracting #8: cost 0 inf + 89483 261.287 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 261.287 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 261.287 * * * * [progress]: [ 281 / 315 ] simplifiying candidate # 261.287 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) 261.287 * * [simplify]: iters left: 6 (10 enodes) 261.293 * * [simplify]: iters left: 5 (43 enodes) 261.300 * * [simplify]: iters left: 4 (68 enodes) 261.311 * * [simplify]: iters left: 3 (113 enodes) 261.340 * * [simplify]: iters left: 2 (234 enodes) 261.440 * * [simplify]: iters left: 1 (494 enodes) 261.828 * * [simplify]: Extracting #0: cost 1 inf + 0 261.834 * * [simplify]: Extracting #1: cost 49 inf + 0 261.835 * * [simplify]: Extracting #2: cost 190 inf + 3 261.837 * * [simplify]: Extracting #3: cost 259 inf + 8 261.840 * * [simplify]: Extracting #4: cost 259 inf + 266 261.846 * * [simplify]: Extracting #5: cost 169 inf + 18561 261.866 * * [simplify]: Extracting #6: cost 51 inf + 78745 261.884 * * [simplify]: Extracting #7: cost 0 inf + 116611 261.910 * * [simplify]: Extracting #8: cost 0 inf + 116104 261.946 * * [simplify]: Extracting #9: cost 0 inf + 115599 262.320 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 262.320 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 262.320 * * * * [progress]: [ 282 / 315 ] simplifiying candidate # 262.321 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 262.321 * * [simplify]: iters left: 6 (15 enodes) 262.329 * * [simplify]: iters left: 5 (64 enodes) 262.340 * * [simplify]: iters left: 4 (106 enodes) 262.357 * * [simplify]: iters left: 3 (156 enodes) 262.407 * * [simplify]: iters left: 2 (247 enodes) 262.485 * * [simplify]: iters left: 1 (430 enodes) 262.659 * * [simplify]: Extracting #0: cost 1 inf + 0 262.660 * * [simplify]: Extracting #1: cost 6 inf + 0 262.660 * * [simplify]: Extracting #2: cost 9 inf + 1 262.660 * * [simplify]: Extracting #3: cost 35 inf + 1 262.660 * * [simplify]: Extracting #4: cost 109 inf + 2 262.661 * * [simplify]: Extracting #5: cost 167 inf + 176 262.662 * * [simplify]: Extracting #6: cost 170 inf + 436 262.664 * * [simplify]: Extracting #7: cost 119 inf + 5626 262.670 * * [simplify]: Extracting #8: cost 42 inf + 33532 262.690 * * [simplify]: Extracting #9: cost 5 inf + 59771 262.704 * * [simplify]: Extracting #10: cost 0 inf + 63288 262.715 * * [simplify]: Extracting #11: cost 0 inf + 62572 262.729 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 262.730 * [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 k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 262.730 * * * * [progress]: [ 283 / 315 ] simplifiying candidate # 262.730 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 262.730 * * [simplify]: iters left: 6 (14 enodes) 262.739 * * [simplify]: iters left: 5 (59 enodes) 262.749 * * [simplify]: iters left: 4 (95 enodes) 262.764 * * [simplify]: iters left: 3 (138 enodes) 262.801 * * [simplify]: iters left: 2 (221 enodes) 262.882 * * [simplify]: iters left: 1 (402 enodes) 263.032 * * [simplify]: Extracting #0: cost 1 inf + 0 263.032 * * [simplify]: Extracting #1: cost 6 inf + 0 263.032 * * [simplify]: Extracting #2: cost 32 inf + 1 263.032 * * [simplify]: Extracting #3: cost 116 inf + 2 263.033 * * [simplify]: Extracting #4: cost 165 inf + 177 263.034 * * [simplify]: Extracting #5: cost 166 inf + 436 263.037 * * [simplify]: Extracting #6: cost 101 inf + 7471 263.047 * * [simplify]: Extracting #7: cost 36 inf + 31861 263.056 * * [simplify]: Extracting #8: cost 3 inf + 58371 263.066 * * [simplify]: Extracting #9: cost 0 inf + 61320 263.081 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 263.081 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 263.081 * * * * [progress]: [ 284 / 315 ] simplifiying candidate # 263.082 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 263.082 * * [simplify]: iters left: 5 (4 enodes) 263.089 * * [simplify]: iters left: 4 (14 enodes) 263.092 * * [simplify]: iters left: 3 (16 enodes) 263.095 * * [simplify]: Extracting #0: cost 1 inf + 0 263.095 * * [simplify]: Extracting #1: cost 0 inf + 1 263.095 * [simplify]: Simplified to 1 263.095 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 263.096 * * * * [progress]: [ 285 / 315 ] simplifiying candidate # 263.096 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 263.096 * * [simplify]: iters left: 6 (14 enodes) 263.102 * * [simplify]: iters left: 5 (62 enodes) 263.114 * * [simplify]: iters left: 4 (105 enodes) 263.136 * * [simplify]: iters left: 3 (170 enodes) 263.196 * * [simplify]: iters left: 2 (312 enodes) 263.308 * * [simplify]: Extracting #0: cost 1 inf + 0 263.308 * * [simplify]: Extracting #1: cost 21 inf + 0 263.308 * * [simplify]: Extracting #2: cost 97 inf + 2 263.309 * * [simplify]: Extracting #3: cost 145 inf + 176 263.310 * * [simplify]: Extracting #4: cost 145 inf + 516 263.311 * * [simplify]: Extracting #5: cost 99 inf + 5697 263.316 * * [simplify]: Extracting #6: cost 28 inf + 32502 263.324 * * [simplify]: Extracting #7: cost 0 inf + 51089 263.332 * * [simplify]: Extracting #8: cost 0 inf + 50565 263.340 * [simplify]: Simplified to (pow (* n (* 2 PI)) (/ (- 1 k) 4)) 263.340 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 263.340 * * * * [progress]: [ 286 / 315 ] simplifiying candidate # 263.340 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 263.340 * * [simplify]: iters left: 6 (11 enodes) 263.344 * * [simplify]: iters left: 5 (46 enodes) 263.361 * * [simplify]: iters left: 4 (76 enodes) 263.382 * * [simplify]: iters left: 3 (133 enodes) 263.415 * * [simplify]: iters left: 2 (300 enodes) 263.525 * * [simplify]: Extracting #0: cost 1 inf + 0 263.525 * * [simplify]: Extracting #1: cost 41 inf + 0 263.526 * * [simplify]: Extracting #2: cost 122 inf + 1 263.527 * * [simplify]: Extracting #3: cost 169 inf + 4 263.529 * * [simplify]: Extracting #4: cost 163 inf + 1837 263.532 * * [simplify]: Extracting #5: cost 125 inf + 8927 263.546 * * [simplify]: Extracting #6: cost 30 inf + 57737 263.570 * * [simplify]: Extracting #7: cost 0 inf + 78441 263.590 * * [simplify]: Extracting #8: cost 0 inf + 78400 263.610 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 263.610 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) 263.610 * * * * [progress]: [ 287 / 315 ] simplifiying candidate # 263.611 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 263.611 * * [simplify]: iters left: 6 (16 enodes) 263.620 * * [simplify]: iters left: 5 (67 enodes) 263.643 * * [simplify]: iters left: 4 (107 enodes) 263.678 * * [simplify]: iters left: 3 (157 enodes) 263.715 * * [simplify]: iters left: 2 (268 enodes) 263.776 * * [simplify]: iters left: 1 (446 enodes) 263.926 * * [simplify]: Extracting #0: cost 1 inf + 0 263.926 * * [simplify]: Extracting #1: cost 10 inf + 0 263.926 * * [simplify]: Extracting #2: cost 18 inf + 1 263.927 * * [simplify]: Extracting #3: cost 47 inf + 1 263.927 * * [simplify]: Extracting #4: cost 123 inf + 3 263.928 * * [simplify]: Extracting #5: cost 175 inf + 1046 263.930 * * [simplify]: Extracting #6: cost 106 inf + 12283 263.939 * * [simplify]: Extracting #7: cost 28 inf + 50379 263.955 * * [simplify]: Extracting #8: cost 1 inf + 69655 263.975 * * [simplify]: Extracting #9: cost 0 inf + 68607 263.989 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 263.989 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 263.989 * * * * [progress]: [ 288 / 315 ] simplifiying candidate # 263.989 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 263.989 * * [simplify]: iters left: 6 (15 enodes) 263.996 * * [simplify]: iters left: 5 (62 enodes) 264.015 * * [simplify]: iters left: 4 (97 enodes) 264.045 * * [simplify]: iters left: 3 (142 enodes) 264.098 * * [simplify]: iters left: 2 (256 enodes) 264.155 * * [simplify]: iters left: 1 (440 enodes) 264.323 * * [simplify]: Extracting #0: cost 1 inf + 0 264.323 * * [simplify]: Extracting #1: cost 7 inf + 0 264.323 * * [simplify]: Extracting #2: cost 13 inf + 1 264.323 * * [simplify]: Extracting #3: cost 47 inf + 1 264.323 * * [simplify]: Extracting #4: cost 135 inf + 3 264.324 * * [simplify]: Extracting #5: cost 184 inf + 999 264.326 * * [simplify]: Extracting #6: cost 121 inf + 10384 264.333 * * [simplify]: Extracting #7: cost 36 inf + 39493 264.353 * * [simplify]: Extracting #8: cost 0 inf + 71581 264.376 * * [simplify]: Extracting #9: cost 0 inf + 69420 264.386 * * [simplify]: Extracting #10: cost 0 inf + 69180 264.400 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 264.400 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 264.400 * * * * [progress]: [ 289 / 315 ] simplifiying candidate # 264.400 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 264.401 * * [simplify]: iters left: 6 (6 enodes) 264.404 * * [simplify]: iters left: 5 (20 enodes) 264.410 * * [simplify]: iters left: 4 (24 enodes) 264.416 * * [simplify]: iters left: 3 (25 enodes) 264.423 * * [simplify]: Extracting #0: cost 1 inf + 0 264.423 * * [simplify]: Extracting #1: cost 4 inf + 0 264.423 * * [simplify]: Extracting #2: cost 5 inf + 1 264.423 * * [simplify]: Extracting #3: cost 7 inf + 1 264.423 * * [simplify]: Extracting #4: cost 6 inf + 2 264.423 * * [simplify]: Extracting #5: cost 0 inf + 490 264.423 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 264.423 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 264.423 * * * * [progress]: [ 290 / 315 ] simplifiying candidate # 264.423 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 264.423 * * [simplify]: iters left: 6 (15 enodes) 264.428 * * [simplify]: iters left: 5 (65 enodes) 264.440 * * [simplify]: iters left: 4 (107 enodes) 264.460 * * [simplify]: iters left: 3 (174 enodes) 264.531 * * [simplify]: iters left: 2 (352 enodes) 264.639 * * [simplify]: Extracting #0: cost 1 inf + 0 264.639 * * [simplify]: Extracting #1: cost 49 inf + 0 264.640 * * [simplify]: Extracting #2: cost 130 inf + 1 264.641 * * [simplify]: Extracting #3: cost 184 inf + 3 264.643 * * [simplify]: Extracting #4: cost 171 inf + 3869 264.653 * * [simplify]: Extracting #5: cost 85 inf + 35623 264.670 * * [simplify]: Extracting #6: cost 3 inf + 89634 264.688 * * [simplify]: Extracting #7: cost 0 inf + 89523 264.714 * * [simplify]: Extracting #8: cost 0 inf + 89483 264.739 * [simplify]: Simplified to (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 264.739 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (pow (* (* 2 PI) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 264.739 * * * * [progress]: [ 291 / 315 ] simplifiying candidate # 264.739 * [simplify]: Simplifying (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) 264.739 * * [simplify]: iters left: 6 (9 enodes) 264.742 * * [simplify]: iters left: 5 (38 enodes) 264.749 * * [simplify]: iters left: 4 (66 enodes) 264.763 * * [simplify]: iters left: 3 (122 enodes) 264.803 * * [simplify]: iters left: 2 (249 enodes) 264.878 * * [simplify]: Extracting #0: cost 1 inf + 0 264.878 * * [simplify]: Extracting #1: cost 35 inf + 0 264.878 * * [simplify]: Extracting #2: cost 111 inf + 3 264.879 * * [simplify]: Extracting #3: cost 153 inf + 6 264.879 * * [simplify]: Extracting #4: cost 146 inf + 761 264.881 * * [simplify]: Extracting #5: cost 93 inf + 8401 264.887 * * [simplify]: Extracting #6: cost 33 inf + 37537 264.900 * * [simplify]: Extracting #7: cost 3 inf + 59469 264.918 * * [simplify]: Extracting #8: cost 0 inf + 60533 264.934 * * [simplify]: Extracting #9: cost 0 inf + 60140 264.951 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 264.951 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 264.951 * * * * [progress]: [ 292 / 315 ] simplifiying candidate # 264.952 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 264.952 * * [simplify]: iters left: 6 (14 enodes) 264.956 * * [simplify]: iters left: 5 (59 enodes) 264.966 * * [simplify]: iters left: 4 (97 enodes) 264.984 * * [simplify]: iters left: 3 (148 enodes) 265.023 * * [simplify]: iters left: 2 (242 enodes) 265.084 * * [simplify]: iters left: 1 (422 enodes) 265.210 * * [simplify]: Extracting #0: cost 1 inf + 0 265.210 * * [simplify]: Extracting #1: cost 6 inf + 0 265.211 * * [simplify]: Extracting #2: cost 9 inf + 1 265.211 * * [simplify]: Extracting #3: cost 38 inf + 1 265.211 * * [simplify]: Extracting #4: cost 115 inf + 2 265.213 * * [simplify]: Extracting #5: cost 162 inf + 218 265.214 * * [simplify]: Extracting #6: cost 165 inf + 642 265.218 * * [simplify]: Extracting #7: cost 105 inf + 8961 265.228 * * [simplify]: Extracting #8: cost 47 inf + 28839 265.244 * * [simplify]: Extracting #9: cost 9 inf + 63065 265.256 * * [simplify]: Extracting #10: cost 0 inf + 70139 265.275 * [simplify]: Simplified to (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 265.275 * [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 k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 265.275 * * * * [progress]: [ 293 / 315 ] simplifiying candidate # 265.276 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 265.276 * * [simplify]: iters left: 6 (13 enodes) 265.284 * * [simplify]: iters left: 5 (54 enodes) 265.297 * * [simplify]: iters left: 4 (89 enodes) 265.311 * * [simplify]: iters left: 3 (134 enodes) 265.336 * * [simplify]: iters left: 2 (217 enodes) 265.379 * * [simplify]: iters left: 1 (399 enodes) 265.560 * * [simplify]: Extracting #0: cost 1 inf + 0 265.561 * * [simplify]: Extracting #1: cost 6 inf + 0 265.561 * * [simplify]: Extracting #2: cost 37 inf + 1 265.561 * * [simplify]: Extracting #3: cost 121 inf + 2 265.562 * * [simplify]: Extracting #4: cost 170 inf + 177 265.563 * * [simplify]: Extracting #5: cost 161 inf + 933 265.565 * * [simplify]: Extracting #6: cost 79 inf + 14897 265.579 * * [simplify]: Extracting #7: cost 10 inf + 55657 265.589 * * [simplify]: Extracting #8: cost 0 inf + 64916 265.599 * [simplify]: Simplified to (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 265.600 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 265.600 * * * * [progress]: [ 294 / 315 ] simplifiying candidate # 265.600 * [simplify]: Simplifying (/ 1 (/ 1 1)) 265.600 * * [simplify]: iters left: 4 (3 enodes) 265.601 * * [simplify]: iters left: 3 (7 enodes) 265.602 * * [simplify]: iters left: 2 (9 enodes) 265.604 * * [simplify]: Extracting #0: cost 1 inf + 0 265.604 * * [simplify]: Extracting #1: cost 0 inf + 1 265.604 * [simplify]: Simplified to 1 265.604 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 265.604 * * * * [progress]: [ 295 / 315 ] simplifiying candidate # 265.604 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) 265.604 * * [simplify]: iters left: 6 (13 enodes) 265.609 * * [simplify]: iters left: 5 (57 enodes) 265.626 * * [simplify]: iters left: 4 (96 enodes) 265.664 * * [simplify]: iters left: 3 (170 enodes) 265.717 * * [simplify]: iters left: 2 (338 enodes) 265.871 * * [simplify]: Extracting #0: cost 1 inf + 0 265.872 * * [simplify]: Extracting #1: cost 31 inf + 0 265.872 * * [simplify]: Extracting #2: cost 119 inf + 2 265.874 * * [simplify]: Extracting #3: cost 167 inf + 301 265.875 * * [simplify]: Extracting #4: cost 166 inf + 724 265.879 * * [simplify]: Extracting #5: cost 109 inf + 7297 265.892 * * [simplify]: Extracting #6: cost 60 inf + 23820 265.909 * * [simplify]: Extracting #7: cost 11 inf + 60641 265.919 * * [simplify]: Extracting #8: cost 0 inf + 69011 265.931 * * [simplify]: Extracting #9: cost 0 inf + 68255 265.942 * [simplify]: Simplified to (pow (* (* 2 n) PI) (/ (- 1 k) 4)) 265.942 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 265.942 * * * * [progress]: [ 296 / 315 ] simplifiying candidate # 265.942 * [simplify]: Simplifying (/ 1 1) 265.943 * * [simplify]: iters left: 2 (2 enodes) 265.944 * * [simplify]: iters left: 1 (6 enodes) 265.946 * * [simplify]: Extracting #0: cost 1 inf + 0 265.946 * * [simplify]: Extracting #1: cost 0 inf + 1 265.946 * [simplify]: Simplified to 1 265.947 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 265.947 * * * * [progress]: [ 297 / 315 ] simplifiying candidate # 265.947 * [simplify]: Simplifying (/ 1 (sqrt k)) 265.947 * * [simplify]: iters left: 3 (4 enodes) 265.949 * * [simplify]: iters left: 2 (14 enodes) 265.954 * * [simplify]: iters left: 1 (16 enodes) 265.958 * * [simplify]: Extracting #0: cost 1 inf + 0 265.959 * * [simplify]: Extracting #1: cost 4 inf + 0 265.959 * * [simplify]: Extracting #2: cost 5 inf + 1 265.959 * * [simplify]: Extracting #3: cost 3 inf + 43 265.959 * * [simplify]: Extracting #4: cost 1 inf + 166 265.959 * * [simplify]: Extracting #5: cost 0 inf + 248 265.959 * [simplify]: Simplified to (/ 1 (sqrt k)) 265.959 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 265.959 * * * * [progress]: [ 298 / 315 ] simplifiying candidate # 265.960 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ 1 2)))) 265.960 * * [simplify]: iters left: 6 (12 enodes) 265.967 * * [simplify]: iters left: 5 (48 enodes) 265.984 * * [simplify]: iters left: 4 (83 enodes) 266.010 * * [simplify]: iters left: 3 (143 enodes) 266.054 * * [simplify]: iters left: 2 (290 enodes) 266.215 * * [simplify]: Extracting #0: cost 1 inf + 0 266.216 * * [simplify]: Extracting #1: cost 38 inf + 0 266.216 * * [simplify]: Extracting #2: cost 103 inf + 1 266.217 * * [simplify]: Extracting #3: cost 102 inf + 255 266.218 * * [simplify]: Extracting #4: cost 95 inf + 714 266.220 * * [simplify]: Extracting #5: cost 69 inf + 9869 266.230 * * [simplify]: Extracting #6: cost 5 inf + 47179 266.241 * * [simplify]: Extracting #7: cost 0 inf + 51073 266.247 * [simplify]: Simplified to (/ (sqrt (* n (* 2 PI))) (sqrt k)) 266.247 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n (* 2 PI))) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 266.247 * * * * [progress]: [ 299 / 315 ] simplifiying candidate # 266.247 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt 1)) 266.247 * * [simplify]: iters left: 6 (14 enodes) 266.252 * * [simplify]: iters left: 5 (59 enodes) 266.262 * * [simplify]: iters left: 4 (94 enodes) 266.280 * * [simplify]: iters left: 3 (143 enodes) 266.313 * * [simplify]: iters left: 2 (245 enodes) 266.390 * * [simplify]: iters left: 1 (476 enodes) 266.617 * * [simplify]: Extracting #0: cost 1 inf + 0 266.617 * * [simplify]: Extracting #1: cost 42 inf + 0 266.618 * * [simplify]: Extracting #2: cost 129 inf + 1 266.618 * * [simplify]: Extracting #3: cost 188 inf + 87 266.620 * * [simplify]: Extracting #4: cost 184 inf + 1995 266.623 * * [simplify]: Extracting #5: cost 113 inf + 19607 266.635 * * [simplify]: Extracting #6: cost 21 inf + 79896 266.651 * * [simplify]: Extracting #7: cost 0 inf + 99212 266.667 * * [simplify]: Extracting #8: cost 0 inf + 98960 266.686 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 266.686 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 266.687 * * * * [progress]: [ 300 / 315 ] simplifiying candidate # 266.687 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 266.687 * * [simplify]: iters left: 6 (14 enodes) 266.692 * * [simplify]: iters left: 5 (59 enodes) 266.708 * * [simplify]: iters left: 4 (94 enodes) 266.738 * * [simplify]: iters left: 3 (143 enodes) 266.785 * * [simplify]: iters left: 2 (245 enodes) 266.847 * * [simplify]: iters left: 1 (476 enodes) 267.058 * * [simplify]: Extracting #0: cost 1 inf + 0 267.058 * * [simplify]: Extracting #1: cost 42 inf + 0 267.063 * * [simplify]: Extracting #2: cost 129 inf + 1 267.064 * * [simplify]: Extracting #3: cost 188 inf + 87 267.067 * * [simplify]: Extracting #4: cost 184 inf + 1995 267.072 * * [simplify]: Extracting #5: cost 113 inf + 19607 267.084 * * [simplify]: Extracting #6: cost 21 inf + 79896 267.100 * * [simplify]: Extracting #7: cost 0 inf + 99212 267.124 * * [simplify]: Extracting #8: cost 0 inf + 98960 267.140 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 267.140 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 267.140 * * * * [progress]: [ 301 / 315 ] simplifiying candidate # 267.140 * [simplify]: Simplifying (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 267.140 * * [simplify]: iters left: 6 (13 enodes) 267.145 * * [simplify]: iters left: 5 (54 enodes) 267.165 * * [simplify]: iters left: 4 (94 enodes) 267.198 * * [simplify]: iters left: 3 (148 enodes) 267.250 * * [simplify]: iters left: 2 (255 enodes) 267.324 * * [simplify]: Extracting #0: cost 1 inf + 0 267.324 * * [simplify]: Extracting #1: cost 19 inf + 0 267.325 * * [simplify]: Extracting #2: cost 62 inf + 1 267.325 * * [simplify]: Extracting #3: cost 116 inf + 45 267.326 * * [simplify]: Extracting #4: cost 117 inf + 717 267.329 * * [simplify]: Extracting #5: cost 75 inf + 7391 267.337 * * [simplify]: Extracting #6: cost 19 inf + 32505 267.348 * * [simplify]: Extracting #7: cost 0 inf + 45979 267.355 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 267.355 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 267.355 * * * * [progress]: [ 302 / 315 ] simplifiying candidate # 267.356 * [simplify]: Simplifying (/ 1 (sqrt k)) 267.356 * * [simplify]: iters left: 3 (4 enodes) 267.357 * * [simplify]: iters left: 2 (14 enodes) 267.359 * * [simplify]: iters left: 1 (16 enodes) 267.362 * * [simplify]: Extracting #0: cost 1 inf + 0 267.362 * * [simplify]: Extracting #1: cost 4 inf + 0 267.362 * * [simplify]: Extracting #2: cost 5 inf + 1 267.362 * * [simplify]: Extracting #3: cost 3 inf + 43 267.362 * * [simplify]: Extracting #4: cost 1 inf + 166 267.362 * * [simplify]: Extracting #5: cost 0 inf + 248 267.362 * [simplify]: Simplified to (/ 1 (sqrt k)) 267.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 267.362 * * * * [progress]: [ 303 / 315 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))))> 267.362 * [simplify]: Simplifying (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))) 267.363 * * [simplify]: iters left: 6 (14 enodes) 267.366 * * [simplify]: iters left: 5 (56 enodes) 267.377 * * [simplify]: iters left: 4 (98 enodes) 267.399 * * [simplify]: iters left: 3 (155 enodes) 267.455 * * [simplify]: iters left: 2 (307 enodes) 267.558 * * [simplify]: Extracting #0: cost 1 inf + 0 267.558 * * [simplify]: Extracting #1: cost 2 inf + 0 267.558 * * [simplify]: Extracting #2: cost 48 inf + 0 267.559 * * [simplify]: Extracting #3: cost 127 inf + 1 267.559 * * [simplify]: Extracting #4: cost 173 inf + 45 267.560 * * [simplify]: Extracting #5: cost 165 inf + 1254 267.563 * * [simplify]: Extracting #6: cost 100 inf + 23807 267.572 * * [simplify]: Extracting #7: cost 31 inf + 58862 267.588 * * [simplify]: Extracting #8: cost 0 inf + 83324 267.601 * * [simplify]: Extracting #9: cost 0 inf + 81573 267.614 * * [simplify]: Extracting #10: cost 0 inf + 81320 267.627 * [simplify]: Simplified to (real->posit16 (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 267.627 * [simplify]: Simplified (2 1) to (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))))) 267.627 * * * * [progress]: [ 304 / 315 ] simplifiying candidate # 267.628 * [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))))) 267.628 * * [simplify]: iters left: 6 (37 enodes) 267.645 * * [simplify]: iters left: 5 (190 enodes) 267.702 * * [simplify]: Extracting #0: cost 1 inf + 0 267.702 * * [simplify]: Extracting #1: cost 22 inf + 0 267.702 * * [simplify]: Extracting #2: cost 108 inf + 1 267.703 * * [simplify]: Extracting #3: cost 171 inf + 46 267.705 * * [simplify]: Extracting #4: cost 189 inf + 427 267.709 * * [simplify]: Extracting #5: cost 128 inf + 16032 267.726 * * [simplify]: Extracting #6: cost 29 inf + 57153 267.752 * * [simplify]: Extracting #7: cost 4 inf + 75884 267.781 * * [simplify]: Extracting #8: cost 0 inf + 78767 267.809 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))) 267.809 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2)))))) 267.809 * * * * [progress]: [ 305 / 315 ] simplifiying candidate # 267.810 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 267.810 * * [simplify]: iters left: 6 (15 enodes) 267.818 * * [simplify]: iters left: 5 (65 enodes) 267.841 * * [simplify]: iters left: 4 (123 enodes) 267.888 * * [simplify]: iters left: 3 (368 enodes) 268.085 * * [simplify]: Extracting #0: cost 1 inf + 0 268.085 * * [simplify]: Extracting #1: cost 36 inf + 0 268.086 * * [simplify]: Extracting #2: cost 212 inf + 72 268.088 * * [simplify]: Extracting #3: cost 354 inf + 1211 268.099 * * [simplify]: Extracting #4: cost 217 inf + 27594 268.123 * * [simplify]: Extracting #5: cost 38 inf + 75123 268.154 * * [simplify]: Extracting #6: cost 0 inf + 89156 268.179 * * [simplify]: Extracting #7: cost 0 inf + 88700 268.195 * * [simplify]: Extracting #8: cost 0 inf + 88535 268.217 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 268.217 * [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))))))) 268.217 * * * * [progress]: [ 306 / 315 ] simplifiying candidate # 268.217 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 268.217 * * [simplify]: iters left: 6 (16 enodes) 268.227 * * [simplify]: iters left: 5 (67 enodes) 268.241 * * [simplify]: iters left: 4 (134 enodes) 268.282 * * [simplify]: iters left: 3 (413 enodes) 268.503 * * [simplify]: Extracting #0: cost 1 inf + 0 268.503 * * [simplify]: Extracting #1: cost 38 inf + 0 268.504 * * [simplify]: Extracting #2: cost 238 inf + 72 268.505 * * [simplify]: Extracting #3: cost 447 inf + 903 268.508 * * [simplify]: Extracting #4: cost 373 inf + 10375 268.518 * * [simplify]: Extracting #5: cost 155 inf + 66841 268.554 * * [simplify]: Extracting #6: cost 13 inf + 117310 268.599 * * [simplify]: Extracting #7: cost 0 inf + 120799 268.640 * * [simplify]: Extracting #8: cost 0 inf + 120798 268.664 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 268.664 * [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)))))))))) 268.664 * * * * [progress]: [ 307 / 315 ] simplifiying candidate # 268.664 * [simplify]: Simplifying (* 2 (* n PI)) 268.664 * * [simplify]: iters left: 4 (5 enodes) 268.666 * * [simplify]: iters left: 3 (19 enodes) 268.669 * * [simplify]: iters left: 2 (27 enodes) 268.675 * * [simplify]: iters left: 1 (32 enodes) 268.685 * * [simplify]: Extracting #0: cost 1 inf + 0 268.685 * * [simplify]: Extracting #1: cost 8 inf + 0 268.685 * * [simplify]: Extracting #2: cost 7 inf + 45 268.685 * * [simplify]: Extracting #3: cost 0 inf + 421 268.686 * [simplify]: Simplified to (* (* PI n) 2) 268.686 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 268.686 * * * * [progress]: [ 308 / 315 ] simplifiying candidate # 268.686 * [simplify]: Simplifying (* 2 (* n PI)) 268.686 * * [simplify]: iters left: 4 (5 enodes) 268.688 * * [simplify]: iters left: 3 (19 enodes) 268.691 * * [simplify]: iters left: 2 (27 enodes) 268.695 * * [simplify]: iters left: 1 (32 enodes) 268.699 * * [simplify]: Extracting #0: cost 1 inf + 0 268.699 * * [simplify]: Extracting #1: cost 8 inf + 0 268.700 * * [simplify]: Extracting #2: cost 7 inf + 45 268.700 * * [simplify]: Extracting #3: cost 0 inf + 421 268.700 * [simplify]: Simplified to (* (* PI n) 2) 268.700 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 268.700 * * * * [progress]: [ 309 / 315 ] simplifiying candidate # 268.700 * [simplify]: Simplifying (* 2 (* n PI)) 268.700 * * [simplify]: iters left: 4 (5 enodes) 268.702 * * [simplify]: iters left: 3 (19 enodes) 268.705 * * [simplify]: iters left: 2 (27 enodes) 268.708 * * [simplify]: iters left: 1 (32 enodes) 268.712 * * [simplify]: Extracting #0: cost 1 inf + 0 268.713 * * [simplify]: Extracting #1: cost 8 inf + 0 268.713 * * [simplify]: Extracting #2: cost 7 inf + 45 268.713 * * [simplify]: Extracting #3: cost 0 inf + 421 268.713 * [simplify]: Simplified to (* (* PI n) 2) 268.713 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (/ (- 1 k) 2))))) 268.713 * * * * [progress]: [ 310 / 315 ] simplifiying candidate # 268.713 * [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))))))))))) 268.713 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 268.713 * * * * [progress]: [ 311 / 315 ] simplifiying candidate # 268.714 * [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)))))))) 268.714 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 268.714 * * * * [progress]: [ 312 / 315 ] simplifiying candidate # 268.714 * [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))))))))))))) 268.714 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 268.714 * * * * [progress]: [ 313 / 315 ] simplifiying candidate # 268.714 * [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))))))))))))) 268.714 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 268.715 * * * * [progress]: [ 314 / 315 ] simplifiying candidate # 268.715 * [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)))))))) 268.715 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 268.715 * * * * [progress]: [ 315 / 315 ] simplifiying candidate # 268.715 * [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)))))))))))) 268.715 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 268.716 * * * [progress]: adding candidates to table 272.257 * [progress]: [Phase 3 of 3] Extracting. 272.257 * * [regime]: Finding splitpoints for: (# # # # # # #) 272.258 * * * [regime-changes]: Trying 2 branch expressions: (n k) 272.259 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 272.340 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 272.389 * * * [regime]: Found split indices: #