0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.184 * * * [progress]: [2/2] Setting up program. 0.188 * [progress]: [Phase 2 of 3] Improving. 0.188 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.188 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.188 * * [simplify]: iters left: 6 (13 enodes) 0.192 * * [simplify]: iters left: 5 (57 enodes) 0.202 * * [simplify]: iters left: 4 (96 enodes) 0.234 * * [simplify]: iters left: 3 (172 enodes) 0.286 * * [simplify]: iters left: 2 (338 enodes) 0.398 * * [simplify]: Extracting #0: cost 1 inf + 0 0.398 * * [simplify]: Extracting #1: cost 41 inf + 0 0.401 * * [simplify]: Extracting #2: cost 120 inf + 1 0.402 * * [simplify]: Extracting #3: cost 166 inf + 127 0.402 * * [simplify]: Extracting #4: cost 166 inf + 467 0.404 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.412 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.431 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.444 * * [simplify]: Extracting #8: cost 0 inf + 76897 0.457 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.457 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.464 * * [progress]: iteration 1 / 4 0.464 * * * [progress]: picking best candidate 0.469 * * * * [pick]: Picked # 0.469 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.509 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.535 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.562 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.586 * * * [progress]: generating series expansions 0.586 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.587 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.587 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.587 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.587 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.587 * [taylor]: Taking taylor expansion of 1/2 in k 0.587 * [backup-simplify]: Simplify 1/2 into 1/2 0.587 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.587 * [taylor]: Taking taylor expansion of 1 in k 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.588 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.588 * [taylor]: Taking taylor expansion of 2 in k 0.588 * [backup-simplify]: Simplify 2 into 2 0.588 * [taylor]: Taking taylor expansion of (* n PI) in k 0.588 * [taylor]: Taking taylor expansion of n in k 0.588 * [backup-simplify]: Simplify n into n 0.588 * [taylor]: Taking taylor expansion of PI in k 0.588 * [backup-simplify]: Simplify PI into PI 0.588 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.588 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.588 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.590 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.590 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.590 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.590 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.590 * [taylor]: Taking taylor expansion of 1/2 in n 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.590 * [taylor]: Taking taylor expansion of 1 in n 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of k in n 0.590 * [backup-simplify]: Simplify k into k 0.590 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.590 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.590 * [taylor]: Taking taylor expansion of 2 in n 0.590 * [backup-simplify]: Simplify 2 into 2 0.590 * [taylor]: Taking taylor expansion of (* n PI) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [backup-simplify]: Simplify PI into PI 0.591 * [backup-simplify]: Simplify (* 0 PI) into 0 0.591 * [backup-simplify]: Simplify (* 2 0) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.594 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.595 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.595 * [backup-simplify]: Simplify (- k) into (- k) 0.595 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.595 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.597 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.598 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.599 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.599 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.599 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.599 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.599 * [taylor]: Taking taylor expansion of 1/2 in n 0.599 * [backup-simplify]: Simplify 1/2 into 1/2 0.599 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.599 * [taylor]: Taking taylor expansion of 1 in n 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of k in n 0.599 * [backup-simplify]: Simplify k into k 0.599 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.599 * [taylor]: Taking taylor expansion of 2 in n 0.599 * [backup-simplify]: Simplify 2 into 2 0.599 * [taylor]: Taking taylor expansion of (* n PI) in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of PI in n 0.599 * [backup-simplify]: Simplify PI into PI 0.600 * [backup-simplify]: Simplify (* 0 PI) into 0 0.600 * [backup-simplify]: Simplify (* 2 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.603 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.604 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.604 * [backup-simplify]: Simplify (- k) into (- k) 0.604 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.605 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.606 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.607 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.608 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.608 * [taylor]: Taking taylor expansion of 1/2 in k 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.609 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.609 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.609 * [taylor]: Taking taylor expansion of 1 in k 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of k in k 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.609 * [taylor]: Taking taylor expansion of (log n) in k 0.609 * [taylor]: Taking taylor expansion of n in k 0.609 * [backup-simplify]: Simplify n into n 0.609 * [backup-simplify]: Simplify (log n) into (log n) 0.609 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.609 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.609 * [taylor]: Taking taylor expansion of 2 in k 0.609 * [backup-simplify]: Simplify 2 into 2 0.609 * [taylor]: Taking taylor expansion of PI in k 0.609 * [backup-simplify]: Simplify PI into PI 0.609 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.610 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.611 * [backup-simplify]: Simplify (- 0) into 0 0.611 * [backup-simplify]: Simplify (+ 1 0) into 1 0.612 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.613 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.614 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.615 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.617 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.627 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.629 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in k 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.631 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.633 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (- 1) into -1 0.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.637 * [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))))) 0.640 * [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))))))) 0.643 * [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))))))) 0.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.649 * [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 0.649 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.653 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.656 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in k 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.661 * [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 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- 0) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.671 * [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))))) 0.676 * [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))))) 0.685 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 0.686 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.686 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.686 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.686 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.686 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.686 * [taylor]: Taking taylor expansion of 1/2 in k 0.686 * [backup-simplify]: Simplify 1/2 into 1/2 0.686 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.686 * [taylor]: Taking taylor expansion of 1 in k 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.686 * [taylor]: Taking taylor expansion of k in k 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.686 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.686 * [taylor]: Taking taylor expansion of 2 in k 0.686 * [backup-simplify]: Simplify 2 into 2 0.686 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.686 * [taylor]: Taking taylor expansion of PI in k 0.686 * [backup-simplify]: Simplify PI into PI 0.686 * [taylor]: Taking taylor expansion of n in k 0.686 * [backup-simplify]: Simplify n into n 0.687 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.687 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.687 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.687 * [backup-simplify]: Simplify (- 1) into -1 0.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.687 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.687 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.688 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.688 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.688 * [taylor]: Taking taylor expansion of 1/2 in n 0.688 * [backup-simplify]: Simplify 1/2 into 1/2 0.688 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1 in n 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [backup-simplify]: Simplify k into k 0.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.688 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.688 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of 2 in n 0.688 * [backup-simplify]: Simplify 2 into 2 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.688 * [taylor]: Taking taylor expansion of PI in n 0.688 * [backup-simplify]: Simplify PI into PI 0.688 * [taylor]: Taking taylor expansion of n in n 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ PI 1) into PI 0.689 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.689 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.689 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.689 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.691 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.691 * [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))))) 0.691 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.692 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.692 * [taylor]: Taking taylor expansion of 1/2 in n 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.692 * [taylor]: Taking taylor expansion of 1 in n 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.692 * [backup-simplify]: Simplify k into k 0.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.692 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of 2 in n 0.692 * [backup-simplify]: Simplify 2 into 2 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [backup-simplify]: Simplify PI into PI 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (/ PI 1) into PI 0.692 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.693 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.693 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.693 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.693 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.695 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.695 * [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))))) 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.695 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.695 * [taylor]: Taking taylor expansion of 1/2 in k 0.695 * [backup-simplify]: Simplify 1/2 into 1/2 0.695 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.695 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.695 * [taylor]: Taking taylor expansion of 1 in k 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.696 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.696 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.696 * [taylor]: Taking taylor expansion of 2 in k 0.696 * [backup-simplify]: Simplify 2 into 2 0.696 * [taylor]: Taking taylor expansion of PI in k 0.696 * [backup-simplify]: Simplify PI into PI 0.696 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.697 * [taylor]: Taking taylor expansion of (log n) in k 0.697 * [taylor]: Taking taylor expansion of n in k 0.697 * [backup-simplify]: Simplify n into n 0.697 * [backup-simplify]: Simplify (log n) into (log n) 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.697 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.698 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.699 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.699 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.700 * [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))))) 0.701 * [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))))) 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.705 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.706 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.706 * [taylor]: Taking taylor expansion of 0 in k 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.709 * [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 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.712 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.713 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.713 * [taylor]: Taking taylor expansion of 0 in k 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.718 * [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 0.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.721 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.723 * [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 0.723 * [taylor]: Taking taylor expansion of 0 in k 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [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)))))) 0.724 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.724 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.724 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.724 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.724 * [taylor]: Taking taylor expansion of 1/2 in k 0.724 * [backup-simplify]: Simplify 1/2 into 1/2 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [taylor]: Taking taylor expansion of 1 in k 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.724 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.724 * [taylor]: Taking taylor expansion of -2 in k 0.724 * [backup-simplify]: Simplify -2 into -2 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.724 * [taylor]: Taking taylor expansion of PI in k 0.724 * [backup-simplify]: Simplify PI into PI 0.724 * [taylor]: Taking taylor expansion of n in k 0.724 * [backup-simplify]: Simplify n into n 0.725 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.725 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.725 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.725 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.725 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.725 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.725 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.725 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.725 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.726 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.726 * [taylor]: Taking taylor expansion of 1/2 in n 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.726 * [backup-simplify]: Simplify k into k 0.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.726 * [taylor]: Taking taylor expansion of 1 in n 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of -2 in n 0.726 * [backup-simplify]: Simplify -2 into -2 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [backup-simplify]: Simplify PI into PI 0.726 * [taylor]: Taking taylor expansion of n in n 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (/ PI 1) into PI 0.726 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.727 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.727 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.727 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.729 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.730 * [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))))) 0.730 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.730 * [taylor]: Taking taylor expansion of 1/2 in n 0.730 * [backup-simplify]: Simplify 1/2 into 1/2 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.730 * [taylor]: Taking taylor expansion of k in n 0.730 * [backup-simplify]: Simplify k into k 0.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.731 * [taylor]: Taking taylor expansion of 1 in n 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of -2 in n 0.731 * [backup-simplify]: Simplify -2 into -2 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [backup-simplify]: Simplify PI into PI 0.731 * [taylor]: Taking taylor expansion of n in n 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ PI 1) into PI 0.732 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.733 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.733 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.735 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.740 * [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))))) 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.740 * [taylor]: Taking taylor expansion of 1/2 in k 0.740 * [backup-simplify]: Simplify 1/2 into 1/2 0.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [taylor]: Taking taylor expansion of 1 in k 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.741 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.741 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.741 * [taylor]: Taking taylor expansion of -2 in k 0.741 * [backup-simplify]: Simplify -2 into -2 0.741 * [taylor]: Taking taylor expansion of PI in k 0.741 * [backup-simplify]: Simplify PI into PI 0.741 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.742 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.742 * [taylor]: Taking taylor expansion of (log n) in k 0.742 * [taylor]: Taking taylor expansion of n in k 0.742 * [backup-simplify]: Simplify n into n 0.743 * [backup-simplify]: Simplify (log n) into (log n) 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.744 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.745 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.746 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.747 * [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))))) 0.748 * [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))))) 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.756 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.758 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in k 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.763 * [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 0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.768 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.771 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in k 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.779 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.784 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.786 * [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 0.786 * [taylor]: Taking taylor expansion of 0 in k 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.788 * [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)))))) 0.788 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.788 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.788 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2 in n 0.788 * [backup-simplify]: Simplify 2 into 2 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [backup-simplify]: Simplify PI into PI 0.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2 in n 0.788 * [backup-simplify]: Simplify 2 into 2 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of PI in n 0.789 * [backup-simplify]: Simplify PI into PI 0.789 * [backup-simplify]: Simplify (* 0 PI) into 0 0.789 * [backup-simplify]: Simplify (* 2 0) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.792 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.793 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.812 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.812 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.812 * [taylor]: Taking taylor expansion of 2 in n 0.812 * [backup-simplify]: Simplify 2 into 2 0.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.812 * [taylor]: Taking taylor expansion of PI in n 0.812 * [backup-simplify]: Simplify PI into PI 0.812 * [taylor]: Taking taylor expansion of n in n 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ PI 1) into PI 0.812 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.812 * [taylor]: Taking taylor expansion of 2 in n 0.812 * [backup-simplify]: Simplify 2 into 2 0.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.812 * [taylor]: Taking taylor expansion of PI in n 0.812 * [backup-simplify]: Simplify PI into PI 0.812 * [taylor]: Taking taylor expansion of n in n 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ PI 1) into PI 0.813 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.814 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.829 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.829 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.829 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.829 * [taylor]: Taking taylor expansion of -2 in n 0.829 * [backup-simplify]: Simplify -2 into -2 0.829 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.829 * [taylor]: Taking taylor expansion of PI in n 0.829 * [backup-simplify]: Simplify PI into PI 0.829 * [taylor]: Taking taylor expansion of n in n 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (/ PI 1) into PI 0.829 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.830 * [taylor]: Taking taylor expansion of -2 in n 0.830 * [backup-simplify]: Simplify -2 into -2 0.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.830 * [taylor]: Taking taylor expansion of PI in n 0.830 * [backup-simplify]: Simplify PI into PI 0.830 * [taylor]: Taking taylor expansion of n in n 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (/ PI 1) into PI 0.831 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.831 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [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 0.846 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.846 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.847 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.847 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.847 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.847 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.847 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.847 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.847 * [taylor]: Taking taylor expansion of 1/2 in k 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.847 * [taylor]: Taking taylor expansion of 1 in k 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of k in k 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.848 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.848 * [taylor]: Taking taylor expansion of 2 in k 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [taylor]: Taking taylor expansion of (* n PI) in k 0.848 * [taylor]: Taking taylor expansion of n in k 0.848 * [backup-simplify]: Simplify n into n 0.848 * [taylor]: Taking taylor expansion of PI in k 0.848 * [backup-simplify]: Simplify PI into PI 0.848 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.848 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.848 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.849 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.849 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.850 * [taylor]: Taking taylor expansion of k in k 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (sqrt 0) into 0 0.852 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.852 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.852 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.852 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.852 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.852 * [taylor]: Taking taylor expansion of 1/2 in n 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.852 * [taylor]: Taking taylor expansion of 1 in n 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of k in n 0.852 * [backup-simplify]: Simplify k into k 0.852 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.852 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.852 * [taylor]: Taking taylor expansion of 2 in n 0.852 * [backup-simplify]: Simplify 2 into 2 0.852 * [taylor]: Taking taylor expansion of (* n PI) in n 0.853 * [taylor]: Taking taylor expansion of n in n 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [taylor]: Taking taylor expansion of PI in n 0.853 * [backup-simplify]: Simplify PI into PI 0.853 * [backup-simplify]: Simplify (* 0 PI) into 0 0.853 * [backup-simplify]: Simplify (* 2 0) into 0 0.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.856 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.857 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.857 * [backup-simplify]: Simplify (- k) into (- k) 0.858 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.858 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.859 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.860 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.861 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.861 * [taylor]: Taking taylor expansion of k in n 0.861 * [backup-simplify]: Simplify k into k 0.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.861 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.861 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.862 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.862 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.862 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.862 * [taylor]: Taking taylor expansion of 1/2 in n 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.862 * [taylor]: Taking taylor expansion of 1 in n 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of k in n 0.862 * [backup-simplify]: Simplify k into k 0.862 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.862 * [taylor]: Taking taylor expansion of 2 in n 0.862 * [backup-simplify]: Simplify 2 into 2 0.862 * [taylor]: Taking taylor expansion of (* n PI) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [backup-simplify]: Simplify PI into PI 0.862 * [backup-simplify]: Simplify (* 0 PI) into 0 0.863 * [backup-simplify]: Simplify (* 2 0) into 0 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.866 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.867 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.867 * [backup-simplify]: Simplify (- k) into (- k) 0.867 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.867 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.868 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.869 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.870 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.871 * [taylor]: Taking taylor expansion of k in n 0.871 * [backup-simplify]: Simplify k into k 0.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.871 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.872 * [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))) 0.872 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.872 * [taylor]: Taking taylor expansion of 1/2 in k 0.872 * [backup-simplify]: Simplify 1/2 into 1/2 0.872 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.872 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.872 * [taylor]: Taking taylor expansion of 1 in k 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [taylor]: Taking taylor expansion of k in k 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.872 * [taylor]: Taking taylor expansion of (log n) in k 0.873 * [taylor]: Taking taylor expansion of n in k 0.873 * [backup-simplify]: Simplify n into n 0.873 * [backup-simplify]: Simplify (log n) into (log n) 0.873 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.873 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.873 * [taylor]: Taking taylor expansion of 2 in k 0.873 * [backup-simplify]: Simplify 2 into 2 0.873 * [taylor]: Taking taylor expansion of PI in k 0.873 * [backup-simplify]: Simplify PI into PI 0.873 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.874 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.876 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.877 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.878 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.879 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.879 * [taylor]: Taking taylor expansion of k in k 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [backup-simplify]: Simplify (sqrt 0) into 0 0.881 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.881 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.887 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.888 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.889 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.890 * [taylor]: Taking taylor expansion of 0 in k 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.891 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.892 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (- 1) into -1 0.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.894 * [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))))) 0.896 * [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))))))) 0.898 * [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))))))) 0.899 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.905 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.906 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.907 * [taylor]: Taking taylor expansion of 0 in k 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.914 * [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 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.922 * [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))))) 0.929 * [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)))))))) 0.932 * [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)))))))) 0.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.937 * [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 0.937 * [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 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 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.942 * [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 0.943 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 0.943 * [taylor]: Taking taylor expansion of 0 in k 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.947 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 0.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.951 * [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 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 0.958 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.976 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 0.987 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.005 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.006 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.006 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.006 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.006 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.006 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.006 * [taylor]: Taking taylor expansion of 1/2 in k 1.006 * [backup-simplify]: Simplify 1/2 into 1/2 1.006 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.006 * [taylor]: Taking taylor expansion of 1 in k 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.006 * [taylor]: Taking taylor expansion of k in k 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.007 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.007 * [taylor]: Taking taylor expansion of 2 in k 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.007 * [taylor]: Taking taylor expansion of PI in k 1.007 * [backup-simplify]: Simplify PI into PI 1.007 * [taylor]: Taking taylor expansion of n in k 1.007 * [backup-simplify]: Simplify n into n 1.007 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.007 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.007 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.008 * [backup-simplify]: Simplify (- 1) into -1 1.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.008 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.008 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.009 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.009 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.009 * [taylor]: Taking taylor expansion of k in k 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (sqrt 0) into 0 1.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.011 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.011 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.011 * [taylor]: Taking taylor expansion of 1/2 in n 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.011 * [taylor]: Taking taylor expansion of 1 in n 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.011 * [taylor]: Taking taylor expansion of k in n 1.011 * [backup-simplify]: Simplify k into k 1.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.011 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.011 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.011 * [taylor]: Taking taylor expansion of 2 in n 1.011 * [backup-simplify]: Simplify 2 into 2 1.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.011 * [taylor]: Taking taylor expansion of PI in n 1.011 * [backup-simplify]: Simplify PI into PI 1.011 * [taylor]: Taking taylor expansion of n in n 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ PI 1) into PI 1.012 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.013 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.013 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.013 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.013 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.016 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.017 * [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))))) 1.017 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.017 * [taylor]: Taking taylor expansion of k in n 1.017 * [backup-simplify]: Simplify k into k 1.017 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.017 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.017 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.017 * [taylor]: Taking taylor expansion of 1/2 in n 1.017 * [backup-simplify]: Simplify 1/2 into 1/2 1.017 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.018 * [taylor]: Taking taylor expansion of 1 in n 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.018 * [taylor]: Taking taylor expansion of k in n 1.018 * [backup-simplify]: Simplify k into k 1.018 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.018 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.018 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.018 * [taylor]: Taking taylor expansion of 2 in n 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.018 * [taylor]: Taking taylor expansion of PI in n 1.018 * [backup-simplify]: Simplify PI into PI 1.018 * [taylor]: Taking taylor expansion of n in n 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (/ PI 1) into PI 1.019 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.020 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.020 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.020 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.020 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.022 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.024 * [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))))) 1.024 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.024 * [taylor]: Taking taylor expansion of k in n 1.024 * [backup-simplify]: Simplify k into k 1.024 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.025 * [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)) 1.025 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.025 * [taylor]: Taking taylor expansion of 1/2 in k 1.025 * [backup-simplify]: Simplify 1/2 into 1/2 1.025 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.025 * [taylor]: Taking taylor expansion of 1 in k 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.025 * [taylor]: Taking taylor expansion of k in k 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.026 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.026 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.026 * [taylor]: Taking taylor expansion of 2 in k 1.026 * [backup-simplify]: Simplify 2 into 2 1.026 * [taylor]: Taking taylor expansion of PI in k 1.026 * [backup-simplify]: Simplify PI into PI 1.027 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.027 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.027 * [taylor]: Taking taylor expansion of (log n) in k 1.028 * [taylor]: Taking taylor expansion of n in k 1.028 * [backup-simplify]: Simplify n into n 1.028 * [backup-simplify]: Simplify (log n) into (log n) 1.028 * [backup-simplify]: Simplify (- 1) into -1 1.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.028 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.029 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.030 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.031 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.033 * [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))))) 1.033 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.033 * [taylor]: Taking taylor expansion of k in k 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (sqrt 0) into 0 1.034 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.036 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.039 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.043 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.045 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in k 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [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))))))) 1.049 * [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))))))) 1.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.054 * [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 1.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.054 * [backup-simplify]: Simplify (- 0) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.057 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.059 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in k 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.062 * [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))))))) 1.063 * [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))))))) 1.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.068 * [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 1.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.068 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.071 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.073 * [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 1.074 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.074 * [taylor]: Taking taylor expansion of 0 in k 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.077 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.078 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.080 * [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)))))))) 1.081 * [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))) 1.081 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.081 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.081 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.081 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.081 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.081 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.081 * [taylor]: Taking taylor expansion of 1/2 in k 1.081 * [backup-simplify]: Simplify 1/2 into 1/2 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.081 * [taylor]: Taking taylor expansion of k in k 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (/ 1 1) into 1 1.081 * [taylor]: Taking taylor expansion of 1 in k 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.082 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.082 * [taylor]: Taking taylor expansion of -2 in k 1.082 * [backup-simplify]: Simplify -2 into -2 1.082 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.082 * [taylor]: Taking taylor expansion of PI in k 1.082 * [backup-simplify]: Simplify PI into PI 1.082 * [taylor]: Taking taylor expansion of n in k 1.082 * [backup-simplify]: Simplify n into n 1.082 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.082 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.082 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.082 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.082 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.082 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.083 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.083 * [taylor]: Taking taylor expansion of -1 in k 1.083 * [backup-simplify]: Simplify -1 into -1 1.083 * [taylor]: Taking taylor expansion of k in k 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ -1 1) into -1 1.083 * [backup-simplify]: Simplify (sqrt 0) into 0 1.084 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.084 * [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))))) 1.084 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.084 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.084 * [taylor]: Taking taylor expansion of 1/2 in n 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.084 * [taylor]: Taking taylor expansion of k in n 1.084 * [backup-simplify]: Simplify k into k 1.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.084 * [taylor]: Taking taylor expansion of 1 in n 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.084 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.084 * [taylor]: Taking taylor expansion of -2 in n 1.084 * [backup-simplify]: Simplify -2 into -2 1.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.084 * [taylor]: Taking taylor expansion of PI in n 1.084 * [backup-simplify]: Simplify PI into PI 1.084 * [taylor]: Taking taylor expansion of n in n 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ PI 1) into PI 1.085 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.088 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.088 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.088 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.089 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.090 * [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))))) 1.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.090 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.090 * [taylor]: Taking taylor expansion of -1 in n 1.090 * [backup-simplify]: Simplify -1 into -1 1.090 * [taylor]: Taking taylor expansion of k in n 1.090 * [backup-simplify]: Simplify k into k 1.090 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.090 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.090 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.091 * [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))) 1.091 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.091 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.091 * [taylor]: Taking taylor expansion of 1/2 in n 1.091 * [backup-simplify]: Simplify 1/2 into 1/2 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.091 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.091 * [taylor]: Taking taylor expansion of k in n 1.091 * [backup-simplify]: Simplify k into k 1.091 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.091 * [taylor]: Taking taylor expansion of 1 in n 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.091 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.091 * [taylor]: Taking taylor expansion of -2 in n 1.091 * [backup-simplify]: Simplify -2 into -2 1.091 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.091 * [taylor]: Taking taylor expansion of PI in n 1.091 * [backup-simplify]: Simplify PI into PI 1.091 * [taylor]: Taking taylor expansion of n in n 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ PI 1) into PI 1.092 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.093 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.093 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.093 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.094 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.095 * [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))))) 1.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.095 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.095 * [taylor]: Taking taylor expansion of -1 in n 1.095 * [backup-simplify]: Simplify -1 into -1 1.095 * [taylor]: Taking taylor expansion of k in n 1.095 * [backup-simplify]: Simplify k into k 1.095 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.095 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.096 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.096 * [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))) 1.096 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.096 * [taylor]: Taking taylor expansion of 1/2 in k 1.096 * [backup-simplify]: Simplify 1/2 into 1/2 1.096 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.096 * [taylor]: Taking taylor expansion of k in k 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of 1 in k 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.097 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.097 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.097 * [taylor]: Taking taylor expansion of -2 in k 1.097 * [backup-simplify]: Simplify -2 into -2 1.097 * [taylor]: Taking taylor expansion of PI in k 1.097 * [backup-simplify]: Simplify PI into PI 1.097 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.098 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.098 * [taylor]: Taking taylor expansion of (log n) in k 1.098 * [taylor]: Taking taylor expansion of n in k 1.098 * [backup-simplify]: Simplify n into n 1.098 * [backup-simplify]: Simplify (log n) into (log n) 1.098 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.099 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.100 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.100 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.101 * [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))))) 1.101 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.101 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.101 * [taylor]: Taking taylor expansion of -1 in k 1.101 * [backup-simplify]: Simplify -1 into -1 1.101 * [taylor]: Taking taylor expansion of k in k 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ -1 1) into -1 1.102 * [backup-simplify]: Simplify (sqrt 0) into 0 1.103 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.103 * [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)))))) 1.104 * [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)))))) 1.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.108 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.109 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.110 * [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 1.110 * [taylor]: Taking taylor expansion of 0 in k 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.113 * [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))))))) 1.114 * [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))))))) 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.117 * [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 1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.121 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.121 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.121 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.122 * [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 1.122 * [taylor]: Taking taylor expansion of 0 in k 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.127 * [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))))))) 1.128 * [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))))))) 1.131 * [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)))))))))))) 1.131 * * * [progress]: simplifying candidates 1.131 * * * * [progress]: [ 1 / 133 ] simplifiying candidate # 1.131 * * * * [progress]: [ 2 / 133 ] simplifiying candidate # 1.131 * * * * [progress]: [ 3 / 133 ] simplifiying candidate # 1.131 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.131 * * [simplify]: iters left: 6 (13 enodes) 1.135 * * [simplify]: iters left: 5 (54 enodes) 1.144 * * [simplify]: iters left: 4 (97 enodes) 1.168 * * [simplify]: iters left: 3 (250 enodes) 1.299 * * [simplify]: Extracting #0: cost 1 inf + 0 1.299 * * [simplify]: Extracting #1: cost 34 inf + 0 1.300 * * [simplify]: Extracting #2: cost 100 inf + 73 1.301 * * [simplify]: Extracting #3: cost 126 inf + 1867 1.304 * * [simplify]: Extracting #4: cost 46 inf + 20363 1.310 * * [simplify]: Extracting #5: cost 5 inf + 31901 1.317 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.324 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.324 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.324 * * * * [progress]: [ 4 / 133 ] simplifiying candidate # 1.325 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.325 * * [simplify]: iters left: 6 (12 enodes) 1.329 * * [simplify]: iters left: 5 (52 enodes) 1.338 * * [simplify]: iters left: 4 (90 enodes) 1.354 * * [simplify]: iters left: 3 (207 enodes) 1.432 * * [simplify]: Extracting #0: cost 1 inf + 0 1.432 * * [simplify]: Extracting #1: cost 29 inf + 0 1.432 * * [simplify]: Extracting #2: cost 88 inf + 73 1.433 * * [simplify]: Extracting #3: cost 117 inf + 443 1.434 * * [simplify]: Extracting #4: cost 77 inf + 5789 1.438 * * [simplify]: Extracting #5: cost 28 inf + 17508 1.444 * * [simplify]: Extracting #6: cost 0 inf + 26056 1.451 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.451 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.452 * * * * [progress]: [ 5 / 133 ] simplifiying candidate # 1.452 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.452 * * [simplify]: iters left: 6 (11 enodes) 1.455 * * [simplify]: iters left: 5 (51 enodes) 1.464 * * [simplify]: iters left: 4 (97 enodes) 1.481 * * [simplify]: iters left: 3 (201 enodes) 1.560 * * [simplify]: Extracting #0: cost 1 inf + 0 1.560 * * [simplify]: Extracting #1: cost 31 inf + 0 1.560 * * [simplify]: Extracting #2: cost 94 inf + 2 1.561 * * [simplify]: Extracting #3: cost 127 inf + 355 1.564 * * [simplify]: Extracting #4: cost 75 inf + 7402 1.570 * * [simplify]: Extracting #5: cost 31 inf + 16283 1.580 * * [simplify]: Extracting #6: cost 3 inf + 23308 1.591 * * [simplify]: Extracting #7: cost 0 inf + 24140 1.602 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 1.602 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 1.602 * * * * [progress]: [ 6 / 133 ] simplifiying candidate # 1.602 * * * * [progress]: [ 7 / 133 ] simplifiying candidate # 1.602 * [simplify]: Simplifying (* n (* 2 PI)) 1.602 * * [simplify]: iters left: 4 (5 enodes) 1.605 * * [simplify]: iters left: 3 (19 enodes) 1.612 * * [simplify]: iters left: 2 (27 enodes) 1.620 * * [simplify]: iters left: 1 (32 enodes) 1.628 * * [simplify]: Extracting #0: cost 1 inf + 0 1.628 * * [simplify]: Extracting #1: cost 8 inf + 0 1.628 * * [simplify]: Extracting #2: cost 7 inf + 45 1.628 * * [simplify]: Extracting #3: cost 0 inf + 421 1.629 * [simplify]: Simplified to (* (* PI 2) n) 1.629 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.629 * * * * [progress]: [ 8 / 133 ] simplifiying candidate # 1.629 * [simplify]: Simplifying (* n (* 2 PI)) 1.629 * * [simplify]: iters left: 4 (5 enodes) 1.632 * * [simplify]: iters left: 3 (19 enodes) 1.638 * * [simplify]: iters left: 2 (27 enodes) 1.646 * * [simplify]: iters left: 1 (32 enodes) 1.654 * * [simplify]: Extracting #0: cost 1 inf + 0 1.654 * * [simplify]: Extracting #1: cost 8 inf + 0 1.655 * * [simplify]: Extracting #2: cost 7 inf + 45 1.655 * * [simplify]: Extracting #3: cost 0 inf + 421 1.655 * [simplify]: Simplified to (* (* PI 2) n) 1.655 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.655 * * * * [progress]: [ 9 / 133 ] simplifiying candidate # 1.656 * [simplify]: Simplifying (* n (* 2 PI)) 1.656 * * [simplify]: iters left: 4 (5 enodes) 1.659 * * [simplify]: iters left: 3 (19 enodes) 1.665 * * [simplify]: iters left: 2 (27 enodes) 1.672 * * [simplify]: iters left: 1 (32 enodes) 1.683 * * [simplify]: Extracting #0: cost 1 inf + 0 1.683 * * [simplify]: Extracting #1: cost 8 inf + 0 1.683 * * [simplify]: Extracting #2: cost 7 inf + 45 1.684 * * [simplify]: Extracting #3: cost 0 inf + 421 1.684 * [simplify]: Simplified to (* (* PI 2) n) 1.684 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 1.684 * * * * [progress]: [ 10 / 133 ] simplifiying candidate # 1.684 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 1.684 * * [simplify]: iters left: 5 (8 enodes) 1.688 * * [simplify]: iters left: 4 (31 enodes) 1.699 * * [simplify]: iters left: 3 (51 enodes) 1.715 * * [simplify]: iters left: 2 (85 enodes) 1.743 * * [simplify]: iters left: 1 (152 enodes) 1.799 * * [simplify]: Extracting #0: cost 1 inf + 0 1.799 * * [simplify]: Extracting #1: cost 13 inf + 0 1.799 * * [simplify]: Extracting #2: cost 59 inf + 1 1.800 * * [simplify]: Extracting #3: cost 76 inf + 9 1.801 * * [simplify]: Extracting #4: cost 41 inf + 3303 1.804 * * [simplify]: Extracting #5: cost 16 inf + 10676 1.809 * * [simplify]: Extracting #6: cost 0 inf + 21028 1.815 * * [simplify]: Extracting #7: cost 0 inf + 20456 1.823 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.823 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1.823 * * * * [progress]: [ 11 / 133 ] simplifiying candidate # 1.823 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.823 * * [simplify]: iters left: 5 (6 enodes) 1.828 * * [simplify]: iters left: 4 (26 enodes) 1.836 * * [simplify]: iters left: 3 (35 enodes) 1.847 * * [simplify]: Extracting #0: cost 1 inf + 0 1.847 * * [simplify]: Extracting #1: cost 3 inf + 0 1.847 * * [simplify]: Extracting #2: cost 8 inf + 0 1.847 * * [simplify]: Extracting #3: cost 11 inf + 2 1.847 * * [simplify]: Extracting #4: cost 8 inf + 87 1.847 * * [simplify]: Extracting #5: cost 2 inf + 500 1.848 * * [simplify]: Extracting #6: cost 0 inf + 746 1.848 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.848 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 1.848 * * * * [progress]: [ 12 / 133 ] simplifiying candidate # 1.849 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.849 * * [simplify]: iters left: 5 (6 enodes) 1.853 * * [simplify]: iters left: 4 (26 enodes) 1.862 * * [simplify]: iters left: 3 (35 enodes) 1.872 * * [simplify]: Extracting #0: cost 1 inf + 0 1.872 * * [simplify]: Extracting #1: cost 3 inf + 0 1.872 * * [simplify]: Extracting #2: cost 8 inf + 0 1.872 * * [simplify]: Extracting #3: cost 11 inf + 2 1.872 * * [simplify]: Extracting #4: cost 8 inf + 87 1.873 * * [simplify]: Extracting #5: cost 2 inf + 460 1.873 * * [simplify]: Extracting #6: cost 0 inf + 666 1.873 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 1.873 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 1.873 * * * * [progress]: [ 13 / 133 ] simplifiying candidate # 1.874 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 1.874 * * [simplify]: iters left: 5 (7 enodes) 1.878 * * [simplify]: iters left: 4 (25 enodes) 1.886 * * [simplify]: iters left: 3 (30 enodes) 1.896 * * [simplify]: Extracting #0: cost 1 inf + 0 1.896 * * [simplify]: Extracting #1: cost 4 inf + 0 1.896 * * [simplify]: Extracting #2: cost 8 inf + 0 1.896 * * [simplify]: Extracting #3: cost 10 inf + 82 1.896 * * [simplify]: Extracting #4: cost 7 inf + 206 1.896 * * [simplify]: Extracting #5: cost 2 inf + 575 1.897 * * [simplify]: Extracting #6: cost 1 inf + 818 1.897 * * [simplify]: Extracting #7: cost 0 inf + 1061 1.898 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 1.898 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 1.898 * * * * [progress]: [ 14 / 133 ] simplifiying candidate # 1.898 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 1.898 * * [simplify]: iters left: 5 (7 enodes) 1.903 * * [simplify]: iters left: 4 (25 enodes) 1.912 * * [simplify]: iters left: 3 (30 enodes) 1.921 * * [simplify]: Extracting #0: cost 1 inf + 0 1.921 * * [simplify]: Extracting #1: cost 4 inf + 0 1.921 * * [simplify]: Extracting #2: cost 8 inf + 0 1.921 * * [simplify]: Extracting #3: cost 10 inf + 42 1.921 * * [simplify]: Extracting #4: cost 7 inf + 126 1.921 * * [simplify]: Extracting #5: cost 2 inf + 495 1.922 * * [simplify]: Extracting #6: cost 1 inf + 698 1.922 * * [simplify]: Extracting #7: cost 0 inf + 901 1.922 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 1.922 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 1.923 * * * * [progress]: [ 15 / 133 ] simplifiying candidate # 1.923 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 1.923 * * [simplify]: iters left: 5 (6 enodes) 1.927 * * [simplify]: iters left: 4 (22 enodes) 1.934 * * [simplify]: iters left: 3 (27 enodes) 1.942 * * [simplify]: Extracting #0: cost 1 inf + 0 1.942 * * [simplify]: Extracting #1: cost 4 inf + 0 1.942 * * [simplify]: Extracting #2: cost 5 inf + 1 1.942 * * [simplify]: Extracting #3: cost 9 inf + 1 1.942 * * [simplify]: Extracting #4: cost 8 inf + 3 1.942 * * [simplify]: Extracting #5: cost 4 inf + 169 1.942 * * [simplify]: Extracting #6: cost 1 inf + 576 1.943 * * [simplify]: Extracting #7: cost 0 inf + 739 1.943 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 1.943 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 1.943 * * * * [progress]: [ 16 / 133 ] simplifiying candidate # 1.943 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 1.943 * * [simplify]: iters left: 5 (7 enodes) 1.948 * * [simplify]: iters left: 4 (25 enodes) 1.956 * * [simplify]: iters left: 3 (30 enodes) 1.966 * * [simplify]: Extracting #0: cost 1 inf + 0 1.966 * * [simplify]: Extracting #1: cost 4 inf + 0 1.966 * * [simplify]: Extracting #2: cost 8 inf + 0 1.966 * * [simplify]: Extracting #3: cost 10 inf + 82 1.966 * * [simplify]: Extracting #4: cost 7 inf + 206 1.967 * * [simplify]: Extracting #5: cost 2 inf + 495 1.967 * * [simplify]: Extracting #6: cost 1 inf + 698 1.967 * * [simplify]: Extracting #7: cost 0 inf + 901 1.967 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 1.967 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 1.968 * * * * [progress]: [ 17 / 133 ] simplifiying candidate # 1.968 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 1.968 * * [simplify]: iters left: 5 (7 enodes) 1.971 * * [simplify]: iters left: 4 (25 enodes) 1.977 * * [simplify]: iters left: 3 (30 enodes) 1.982 * * [simplify]: Extracting #0: cost 1 inf + 0 1.982 * * [simplify]: Extracting #1: cost 4 inf + 0 1.982 * * [simplify]: Extracting #2: cost 8 inf + 0 1.982 * * [simplify]: Extracting #3: cost 10 inf + 42 1.982 * * [simplify]: Extracting #4: cost 7 inf + 126 1.982 * * [simplify]: Extracting #5: cost 2 inf + 415 1.982 * * [simplify]: Extracting #6: cost 1 inf + 578 1.982 * * [simplify]: Extracting #7: cost 0 inf + 741 1.982 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 1.983 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 1.983 * * * * [progress]: [ 18 / 133 ] simplifiying candidate # 1.983 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 1.983 * * [simplify]: iters left: 5 (6 enodes) 1.985 * * [simplify]: iters left: 4 (22 enodes) 1.989 * * [simplify]: iters left: 3 (27 enodes) 1.993 * * [simplify]: Extracting #0: cost 1 inf + 0 1.993 * * [simplify]: Extracting #1: cost 4 inf + 0 1.993 * * [simplify]: Extracting #2: cost 5 inf + 1 1.993 * * [simplify]: Extracting #3: cost 9 inf + 1 1.993 * * [simplify]: Extracting #4: cost 8 inf + 3 1.993 * * [simplify]: Extracting #5: cost 4 inf + 169 1.994 * * [simplify]: Extracting #6: cost 1 inf + 456 1.994 * * [simplify]: Extracting #7: cost 0 inf + 579 1.994 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 1.994 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 1.994 * * * * [progress]: [ 19 / 133 ] simplifiying candidate # 1.994 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 1.994 * * [simplify]: iters left: 4 (6 enodes) 1.996 * * [simplify]: iters left: 3 (25 enodes) 2.006 * * [simplify]: iters left: 2 (36 enodes) 2.017 * * [simplify]: iters left: 1 (40 enodes) 2.028 * * [simplify]: Extracting #0: cost 1 inf + 0 2.028 * * [simplify]: Extracting #1: cost 7 inf + 0 2.029 * * [simplify]: Extracting #2: cost 16 inf + 0 2.029 * * [simplify]: Extracting #3: cost 13 inf + 44 2.029 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.029 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.030 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.030 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.030 * * * * [progress]: [ 20 / 133 ] simplifiying candidate # 2.030 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.030 * * [simplify]: iters left: 4 (6 enodes) 2.034 * * [simplify]: iters left: 3 (25 enodes) 2.043 * * [simplify]: iters left: 2 (36 enodes) 2.054 * * [simplify]: iters left: 1 (40 enodes) 2.067 * * [simplify]: Extracting #0: cost 1 inf + 0 2.067 * * [simplify]: Extracting #1: cost 7 inf + 0 2.067 * * [simplify]: Extracting #2: cost 16 inf + 0 2.067 * * [simplify]: Extracting #3: cost 13 inf + 44 2.067 * * [simplify]: Extracting #4: cost 3 inf + 823 2.068 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.068 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.068 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.068 * * * * [progress]: [ 21 / 133 ] simplifiying candidate # 2.069 * [simplify]: Simplifying (/ (- 1 k) 2) 2.069 * * [simplify]: iters left: 4 (5 enodes) 2.073 * * [simplify]: iters left: 3 (23 enodes) 2.081 * * [simplify]: iters left: 2 (32 enodes) 2.091 * * [simplify]: Extracting #0: cost 1 inf + 0 2.091 * * [simplify]: Extracting #1: cost 6 inf + 0 2.091 * * [simplify]: Extracting #2: cost 9 inf + 2 2.091 * * [simplify]: Extracting #3: cost 6 inf + 87 2.092 * * [simplify]: Extracting #4: cost 0 inf + 420 2.092 * [simplify]: Simplified to (/ (- 1 k) 2) 2.092 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.092 * * * * [progress]: [ 22 / 133 ] simplifiying candidate # 2.092 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.092 * * [simplify]: iters left: 5 (8 enodes) 2.098 * * [simplify]: iters left: 4 (31 enodes) 2.108 * * [simplify]: iters left: 3 (45 enodes) 2.123 * * [simplify]: iters left: 2 (51 enodes) 2.130 * * [simplify]: iters left: 1 (52 enodes) 2.138 * * [simplify]: Extracting #0: cost 1 inf + 0 2.138 * * [simplify]: Extracting #1: cost 8 inf + 0 2.138 * * [simplify]: Extracting #2: cost 18 inf + 0 2.138 * * [simplify]: Extracting #3: cost 19 inf + 2 2.138 * * [simplify]: Extracting #4: cost 9 inf + 977 2.138 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.139 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.139 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.139 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.139 * * * * [progress]: [ 23 / 133 ] simplifiying candidate # 2.139 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.139 * * [simplify]: iters left: 5 (8 enodes) 2.142 * * [simplify]: iters left: 4 (31 enodes) 2.147 * * [simplify]: iters left: 3 (45 enodes) 2.160 * * [simplify]: iters left: 2 (51 enodes) 2.174 * * [simplify]: iters left: 1 (52 enodes) 2.183 * * [simplify]: Extracting #0: cost 1 inf + 0 2.183 * * [simplify]: Extracting #1: cost 8 inf + 0 2.183 * * [simplify]: Extracting #2: cost 18 inf + 0 2.183 * * [simplify]: Extracting #3: cost 19 inf + 2 2.183 * * [simplify]: Extracting #4: cost 9 inf + 697 2.183 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.184 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.184 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.184 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.184 * * * * [progress]: [ 24 / 133 ] simplifiying candidate # 2.184 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.184 * * [simplify]: iters left: 5 (7 enodes) 2.187 * * [simplify]: iters left: 4 (29 enodes) 2.192 * * [simplify]: iters left: 3 (43 enodes) 2.198 * * [simplify]: iters left: 2 (47 enodes) 2.204 * * [simplify]: Extracting #0: cost 1 inf + 0 2.204 * * [simplify]: Extracting #1: cost 7 inf + 0 2.204 * * [simplify]: Extracting #2: cost 11 inf + 2 2.205 * * [simplify]: Extracting #3: cost 13 inf + 3 2.205 * * [simplify]: Extracting #4: cost 11 inf + 45 2.205 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.205 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.205 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.205 * * * * [progress]: [ 25 / 133 ] simplifiying candidate # 2.205 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.205 * * [simplify]: iters left: 5 (7 enodes) 2.208 * * [simplify]: iters left: 4 (28 enodes) 2.215 * * [simplify]: iters left: 3 (39 enodes) 2.227 * * [simplify]: iters left: 2 (43 enodes) 2.240 * * [simplify]: Extracting #0: cost 1 inf + 0 2.240 * * [simplify]: Extracting #1: cost 7 inf + 0 2.240 * * [simplify]: Extracting #2: cost 16 inf + 0 2.241 * * [simplify]: Extracting #3: cost 15 inf + 164 2.241 * * [simplify]: Extracting #4: cost 13 inf + 287 2.241 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.241 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.241 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.241 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.242 * * * * [progress]: [ 26 / 133 ] simplifiying candidate # 2.242 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.242 * * [simplify]: iters left: 5 (7 enodes) 2.244 * * [simplify]: iters left: 4 (28 enodes) 2.249 * * [simplify]: iters left: 3 (39 enodes) 2.256 * * [simplify]: iters left: 2 (43 enodes) 2.263 * * [simplify]: Extracting #0: cost 1 inf + 0 2.263 * * [simplify]: Extracting #1: cost 7 inf + 0 2.263 * * [simplify]: Extracting #2: cost 16 inf + 0 2.263 * * [simplify]: Extracting #3: cost 15 inf + 84 2.263 * * [simplify]: Extracting #4: cost 13 inf + 167 2.263 * * [simplify]: Extracting #5: cost 5 inf + 900 2.263 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.264 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.264 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.264 * * * * [progress]: [ 27 / 133 ] simplifiying candidate # 2.264 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.264 * * [simplify]: iters left: 5 (6 enodes) 2.266 * * [simplify]: iters left: 4 (26 enodes) 2.272 * * [simplify]: iters left: 3 (35 enodes) 2.283 * * [simplify]: Extracting #0: cost 1 inf + 0 2.283 * * [simplify]: Extracting #1: cost 6 inf + 0 2.283 * * [simplify]: Extracting #2: cost 9 inf + 2 2.283 * * [simplify]: Extracting #3: cost 11 inf + 3 2.283 * * [simplify]: Extracting #4: cost 10 inf + 4 2.283 * * [simplify]: Extracting #5: cost 3 inf + 535 2.283 * * [simplify]: Extracting #6: cost 0 inf + 822 2.284 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.284 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.284 * * * * [progress]: [ 28 / 133 ] simplifiying candidate # 2.284 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.284 * * [simplify]: iters left: 4 (6 enodes) 2.289 * * [simplify]: iters left: 3 (25 enodes) 2.297 * * [simplify]: iters left: 2 (36 enodes) 2.305 * * [simplify]: iters left: 1 (40 enodes) 2.311 * * [simplify]: Extracting #0: cost 1 inf + 0 2.311 * * [simplify]: Extracting #1: cost 7 inf + 0 2.311 * * [simplify]: Extracting #2: cost 16 inf + 0 2.311 * * [simplify]: Extracting #3: cost 13 inf + 44 2.311 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.312 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.312 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.312 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.312 * * * * [progress]: [ 29 / 133 ] simplifiying candidate # 2.312 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.312 * * [simplify]: iters left: 4 (6 enodes) 2.314 * * [simplify]: iters left: 3 (25 enodes) 2.319 * * [simplify]: iters left: 2 (36 enodes) 2.326 * * [simplify]: iters left: 1 (40 enodes) 2.332 * * [simplify]: Extracting #0: cost 1 inf + 0 2.332 * * [simplify]: Extracting #1: cost 7 inf + 0 2.332 * * [simplify]: Extracting #2: cost 16 inf + 0 2.332 * * [simplify]: Extracting #3: cost 13 inf + 44 2.332 * * [simplify]: Extracting #4: cost 3 inf + 823 2.333 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.333 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.333 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.333 * * * * [progress]: [ 30 / 133 ] simplifiying candidate # 2.333 * [simplify]: Simplifying (/ (- 1 k) 2) 2.333 * * [simplify]: iters left: 4 (5 enodes) 2.335 * * [simplify]: iters left: 3 (23 enodes) 2.343 * * [simplify]: iters left: 2 (32 enodes) 2.352 * * [simplify]: Extracting #0: cost 1 inf + 0 2.352 * * [simplify]: Extracting #1: cost 6 inf + 0 2.352 * * [simplify]: Extracting #2: cost 9 inf + 2 2.352 * * [simplify]: Extracting #3: cost 6 inf + 87 2.353 * * [simplify]: Extracting #4: cost 0 inf + 420 2.353 * [simplify]: Simplified to (/ (- 1 k) 2) 2.353 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.353 * * * * [progress]: [ 31 / 133 ] simplifiying candidate # 2.353 * [simplify]: Simplifying (/ (- 1 k) 2) 2.353 * * [simplify]: iters left: 4 (5 enodes) 2.357 * * [simplify]: iters left: 3 (23 enodes) 2.365 * * [simplify]: iters left: 2 (32 enodes) 2.374 * * [simplify]: Extracting #0: cost 1 inf + 0 2.374 * * [simplify]: Extracting #1: cost 6 inf + 0 2.375 * * [simplify]: Extracting #2: cost 9 inf + 2 2.375 * * [simplify]: Extracting #3: cost 6 inf + 87 2.375 * * [simplify]: Extracting #4: cost 0 inf + 420 2.375 * [simplify]: Simplified to (/ (- 1 k) 2) 2.375 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.375 * * * * [progress]: [ 32 / 133 ] simplifiying candidate # 2.376 * [simplify]: Simplifying (/ 1 2) 2.376 * * [simplify]: iters left: 2 (3 enodes) 2.379 * * [simplify]: iters left: 1 (12 enodes) 2.383 * * [simplify]: Extracting #0: cost 1 inf + 0 2.383 * * [simplify]: Extracting #1: cost 0 inf + 1 2.383 * [simplify]: Simplified to 1/2 2.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.383 * * * * [progress]: [ 33 / 133 ] simplifiying candidate # 2.383 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.384 * * [simplify]: iters left: 5 (7 enodes) 2.389 * * [simplify]: iters left: 4 (32 enodes) 2.395 * * [simplify]: iters left: 3 (57 enodes) 2.405 * * [simplify]: iters left: 2 (88 enodes) 2.422 * * [simplify]: iters left: 1 (156 enodes) 2.488 * * [simplify]: Extracting #0: cost 1 inf + 0 2.488 * * [simplify]: Extracting #1: cost 13 inf + 0 2.489 * * [simplify]: Extracting #2: cost 49 inf + 2 2.489 * * [simplify]: Extracting #3: cost 80 inf + 6 2.490 * * [simplify]: Extracting #4: cost 58 inf + 1840 2.493 * * [simplify]: Extracting #5: cost 22 inf + 9206 2.499 * * [simplify]: Extracting #6: cost 1 inf + 20886 2.505 * * [simplify]: Extracting #7: cost 0 inf + 21301 2.511 * * [simplify]: Extracting #8: cost 0 inf + 21130 2.517 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 2.517 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 2.518 * * * * [progress]: [ 34 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 35 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 36 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 37 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 38 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 39 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 40 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 41 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 2.518 * * * * [progress]: [ 43 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 44 / 133 ] simplifiying candidate # 2.518 * * * * [progress]: [ 45 / 133 ] simplifiying candidate # 2.519 * [simplify]: Simplifying (* n (* 2 PI)) 2.519 * * [simplify]: iters left: 4 (5 enodes) 2.522 * * [simplify]: iters left: 3 (19 enodes) 2.528 * * [simplify]: iters left: 2 (27 enodes) 2.536 * * [simplify]: iters left: 1 (32 enodes) 2.544 * * [simplify]: Extracting #0: cost 1 inf + 0 2.544 * * [simplify]: Extracting #1: cost 8 inf + 0 2.545 * * [simplify]: Extracting #2: cost 7 inf + 45 2.545 * * [simplify]: Extracting #3: cost 0 inf + 421 2.545 * [simplify]: Simplified to (* (* PI 2) n) 2.545 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.545 * * * * [progress]: [ 46 / 133 ] simplifiying candidate # 2.546 * [simplify]: Simplifying (* n (* 2 PI)) 2.546 * * [simplify]: iters left: 4 (5 enodes) 2.549 * * [simplify]: iters left: 3 (19 enodes) 2.555 * * [simplify]: iters left: 2 (27 enodes) 2.560 * * [simplify]: iters left: 1 (32 enodes) 2.564 * * [simplify]: Extracting #0: cost 1 inf + 0 2.564 * * [simplify]: Extracting #1: cost 8 inf + 0 2.564 * * [simplify]: Extracting #2: cost 7 inf + 45 2.564 * * [simplify]: Extracting #3: cost 0 inf + 421 2.564 * [simplify]: Simplified to (* (* PI 2) n) 2.564 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 2.564 * * * * [progress]: [ 47 / 133 ] simplifiying candidate # 2.564 * * * * [progress]: [ 48 / 133 ] simplifiying candidate # 2.564 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 2.564 * * [simplify]: iters left: 5 (8 enodes) 2.567 * * [simplify]: iters left: 4 (28 enodes) 2.571 * * [simplify]: iters left: 3 (36 enodes) 2.578 * * [simplify]: iters left: 2 (42 enodes) 2.584 * * [simplify]: Extracting #0: cost 1 inf + 0 2.584 * * [simplify]: Extracting #1: cost 8 inf + 0 2.584 * * [simplify]: Extracting #2: cost 17 inf + 0 2.584 * * [simplify]: Extracting #3: cost 12 inf + 145 2.584 * * [simplify]: Extracting #4: cost 5 inf + 1197 2.584 * * [simplify]: Extracting #5: cost 1 inf + 1925 2.585 * * [simplify]: Extracting #6: cost 0 inf + 2107 2.585 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 2.585 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.585 * * * * [progress]: [ 49 / 133 ] simplifiying candidate # 2.585 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 2.585 * * [simplify]: iters left: 5 (7 enodes) 2.587 * * [simplify]: iters left: 4 (26 enodes) 2.591 * * [simplify]: iters left: 3 (35 enodes) 2.597 * * [simplify]: iters left: 2 (44 enodes) 2.603 * * [simplify]: Extracting #0: cost 1 inf + 0 2.603 * * [simplify]: Extracting #1: cost 8 inf + 0 2.603 * * [simplify]: Extracting #2: cost 18 inf + 0 2.603 * * [simplify]: Extracting #3: cost 15 inf + 74 2.603 * * [simplify]: Extracting #4: cost 8 inf + 554 2.603 * * [simplify]: Extracting #5: cost 0 inf + 1911 2.604 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 2.604 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 2.604 * * * * [progress]: [ 50 / 133 ] simplifiying candidate # 2.604 * * * * [progress]: [ 51 / 133 ] simplifiying candidate # 2.604 * * * * [progress]: [ 52 / 133 ] simplifiying candidate # 2.604 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 2.604 * * [simplify]: iters left: 6 (11 enodes) 2.609 * * [simplify]: iters left: 5 (48 enodes) 2.619 * * [simplify]: iters left: 4 (121 enodes) 2.656 * * [simplify]: iters left: 3 (348 enodes) 2.887 * * [simplify]: Extracting #0: cost 1 inf + 0 2.887 * * [simplify]: Extracting #1: cost 67 inf + 0 2.888 * * [simplify]: Extracting #2: cost 165 inf + 786 2.892 * * [simplify]: Extracting #3: cost 85 inf + 10177 2.904 * * [simplify]: Extracting #4: cost 9 inf + 26399 2.917 * * [simplify]: Extracting #5: cost 0 inf + 28546 2.934 * * [simplify]: Extracting #6: cost 0 inf + 28506 2.947 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 2.947 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 2.947 * * * * [progress]: [ 53 / 133 ] simplifiying candidate # 2.947 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 2.947 * * [simplify]: iters left: 6 (9 enodes) 2.954 * * [simplify]: iters left: 5 (45 enodes) 2.964 * * [simplify]: iters left: 4 (117 enodes) 2.997 * * [simplify]: iters left: 3 (374 enodes) 3.319 * * [simplify]: Extracting #0: cost 1 inf + 0 3.320 * * [simplify]: Extracting #1: cost 77 inf + 0 3.321 * * [simplify]: Extracting #2: cost 184 inf + 984 3.325 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.333 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.345 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.355 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.355 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.355 * * * * [progress]: [ 54 / 133 ] simplifiying candidate # 3.355 * * * * [progress]: [ 55 / 133 ] simplifiying candidate # 3.355 * * * * [progress]: [ 56 / 133 ] simplifiying candidate # 3.355 * * * * [progress]: [ 57 / 133 ] simplifiying candidate # 3.355 * * * * [progress]: [ 58 / 133 ] simplifiying candidate # 3.355 * * * * [progress]: [ 59 / 133 ] simplifiying candidate # 3.355 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.355 * * [simplify]: iters left: 3 (3 enodes) 3.356 * * [simplify]: iters left: 2 (9 enodes) 3.357 * * [simplify]: Extracting #0: cost 1 inf + 0 3.357 * * [simplify]: Extracting #1: cost 3 inf + 0 3.357 * * [simplify]: Extracting #2: cost 5 inf + 0 3.357 * * [simplify]: Extracting #3: cost 4 inf + 1 3.357 * * [simplify]: Extracting #4: cost 0 inf + 405 3.358 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.358 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.358 * * * * [progress]: [ 60 / 133 ] simplifiying candidate # 3.358 * [simplify]: Simplifying (sqrt n) 3.358 * * [simplify]: iters left: 1 (2 enodes) 3.358 * * [simplify]: Extracting #0: cost 1 inf + 0 3.358 * * [simplify]: Extracting #1: cost 3 inf + 0 3.358 * * [simplify]: Extracting #2: cost 2 inf + 1 3.358 * * [simplify]: Extracting #3: cost 0 inf + 83 3.358 * [simplify]: Simplified to (sqrt n) 3.358 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.358 * * * * [progress]: [ 61 / 133 ] simplifiying candidate # 3.358 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.358 * * * * [progress]: [ 63 / 133 ] simplifiying candidate # 3.359 * * * * [progress]: [ 64 / 133 ] simplifiying candidate # 3.359 * * * * [progress]: [ 65 / 133 ] simplifiying candidate # 3.359 * * * * [progress]: [ 66 / 133 ] simplifiying candidate # 3.359 * * * * [progress]: [ 67 / 133 ] simplifiying candidate # 3.359 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.359 * * [simplify]: iters left: 6 (16 enodes) 3.364 * * [simplify]: iters left: 5 (66 enodes) 3.374 * * [simplify]: iters left: 4 (113 enodes) 3.415 * * [simplify]: iters left: 3 (306 enodes) 3.567 * * [simplify]: Extracting #0: cost 1 inf + 0 3.568 * * [simplify]: Extracting #1: cost 33 inf + 0 3.568 * * [simplify]: Extracting #2: cost 89 inf + 0 3.570 * * [simplify]: Extracting #3: cost 132 inf + 603 3.573 * * [simplify]: Extracting #4: cost 115 inf + 7823 3.587 * * [simplify]: Extracting #5: cost 21 inf + 36693 3.605 * * [simplify]: Extracting #6: cost 0 inf + 43786 3.625 * * [simplify]: Extracting #7: cost 0 inf + 43785 3.643 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 3.643 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 3.644 * * * * [progress]: [ 68 / 133 ] simplifiying candidate # 3.644 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.644 * * [simplify]: iters left: 6 (15 enodes) 3.649 * * [simplify]: iters left: 5 (64 enodes) 3.667 * * [simplify]: iters left: 4 (106 enodes) 3.707 * * [simplify]: iters left: 3 (247 enodes) 3.820 * * [simplify]: Extracting #0: cost 1 inf + 0 3.820 * * [simplify]: Extracting #1: cost 29 inf + 0 3.821 * * [simplify]: Extracting #2: cost 82 inf + 0 3.822 * * [simplify]: Extracting #3: cost 122 inf + 147 3.823 * * [simplify]: Extracting #4: cost 128 inf + 2275 3.831 * * [simplify]: Extracting #5: cost 42 inf + 21718 3.844 * * [simplify]: Extracting #6: cost 4 inf + 33778 3.859 * * [simplify]: Extracting #7: cost 0 inf + 35144 3.874 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 3.874 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 3.874 * * * * [progress]: [ 69 / 133 ] simplifiying candidate # 3.874 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.874 * * [simplify]: iters left: 6 (14 enodes) 3.883 * * [simplify]: iters left: 5 (63 enodes) 3.908 * * [simplify]: iters left: 4 (113 enodes) 3.947 * * [simplify]: iters left: 3 (229 enodes) 4.051 * * [simplify]: Extracting #0: cost 1 inf + 0 4.051 * * [simplify]: Extracting #1: cost 23 inf + 0 4.051 * * [simplify]: Extracting #2: cost 83 inf + 0 4.051 * * [simplify]: Extracting #3: cost 120 inf + 284 4.053 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.057 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.070 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.084 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.091 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.091 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.091 * * * * [progress]: [ 70 / 133 ] simplifiying candidate # 4.091 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.091 * * [simplify]: iters left: 6 (14 enodes) 4.096 * * [simplify]: iters left: 5 (63 enodes) 4.107 * * [simplify]: iters left: 4 (113 enodes) 4.144 * * [simplify]: iters left: 3 (229 enodes) 4.212 * * [simplify]: Extracting #0: cost 1 inf + 0 4.212 * * [simplify]: Extracting #1: cost 23 inf + 0 4.212 * * [simplify]: Extracting #2: cost 83 inf + 0 4.212 * * [simplify]: Extracting #3: cost 120 inf + 284 4.213 * * [simplify]: Extracting #4: cost 111 inf + 4879 4.223 * * [simplify]: Extracting #5: cost 26 inf + 24636 4.236 * * [simplify]: Extracting #6: cost 0 inf + 31546 4.250 * * [simplify]: Extracting #7: cost 0 inf + 31046 4.263 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.263 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.263 * * * * [progress]: [ 71 / 133 ] simplifiying candidate # 4.264 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.264 * * [simplify]: iters left: 6 (14 enodes) 4.272 * * [simplify]: iters left: 5 (61 enodes) 4.293 * * [simplify]: iters left: 4 (112 enodes) 4.332 * * [simplify]: iters left: 3 (219 enodes) 4.430 * * [simplify]: Extracting #0: cost 1 inf + 0 4.430 * * [simplify]: Extracting #1: cost 24 inf + 0 4.430 * * [simplify]: Extracting #2: cost 109 inf + 0 4.431 * * [simplify]: Extracting #3: cost 171 inf + 75 4.433 * * [simplify]: Extracting #4: cost 167 inf + 904 4.435 * * [simplify]: Extracting #5: cost 91 inf + 14562 4.441 * * [simplify]: Extracting #6: cost 10 inf + 36286 4.448 * * [simplify]: Extracting #7: cost 0 inf + 40306 4.455 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 4.455 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 4.455 * * * * [progress]: [ 72 / 133 ] simplifiying candidate # 4.455 * * * * [progress]: [ 73 / 133 ] simplifiying candidate # 4.456 * * * * [progress]: [ 74 / 133 ] simplifiying candidate # 4.456 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.456 * * [simplify]: iters left: 6 (16 enodes) 4.461 * * [simplify]: iters left: 5 (72 enodes) 4.477 * * [simplify]: iters left: 4 (165 enodes) 4.542 * * [simplify]: iters left: 3 (474 enodes) 4.831 * * [simplify]: Extracting #0: cost 1 inf + 0 4.831 * * [simplify]: Extracting #1: cost 172 inf + 0 4.832 * * [simplify]: Extracting #2: cost 449 inf + 1 4.834 * * [simplify]: Extracting #3: cost 500 inf + 248 4.837 * * [simplify]: Extracting #4: cost 485 inf + 2081 4.844 * * [simplify]: Extracting #5: cost 365 inf + 63723 4.890 * * [simplify]: Extracting #6: cost 66 inf + 281431 4.968 * * [simplify]: Extracting #7: cost 0 inf + 324121 5.038 * * [simplify]: Extracting #8: cost 0 inf + 321869 5.125 * [simplify]: Simplified to (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.125 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.125 * * * * [progress]: [ 75 / 133 ] simplifiying candidate # 5.125 * * * * [progress]: [ 76 / 133 ] simplifiying candidate # 5.125 * * * * [progress]: [ 77 / 133 ] simplifiying candidate # 5.125 * * * * [progress]: [ 78 / 133 ] simplifiying candidate # 5.125 * * * * [progress]: [ 79 / 133 ] simplifiying candidate # 5.126 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.126 * * [simplify]: iters left: 6 (11 enodes) 5.129 * * [simplify]: iters left: 5 (46 enodes) 5.142 * * [simplify]: iters left: 4 (79 enodes) 5.159 * * [simplify]: iters left: 3 (135 enodes) 5.192 * * [simplify]: iters left: 2 (270 enodes) 5.268 * * [simplify]: Extracting #0: cost 1 inf + 0 5.268 * * [simplify]: Extracting #1: cost 56 inf + 0 5.268 * * [simplify]: Extracting #2: cost 151 inf + 0 5.269 * * [simplify]: Extracting #3: cost 211 inf + 3 5.270 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.278 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.292 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.305 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.320 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.340 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.353 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.353 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.353 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.353 * * [simplify]: iters left: 6 (11 enodes) 5.357 * * [simplify]: iters left: 5 (45 enodes) 5.367 * * [simplify]: iters left: 4 (68 enodes) 5.391 * * [simplify]: iters left: 3 (110 enodes) 5.415 * * [simplify]: iters left: 2 (217 enodes) 5.462 * * [simplify]: iters left: 1 (458 enodes) 5.652 * * [simplify]: Extracting #0: cost 1 inf + 0 5.652 * * [simplify]: Extracting #1: cost 45 inf + 0 5.653 * * [simplify]: Extracting #2: cost 132 inf + 0 5.654 * * [simplify]: Extracting #3: cost 212 inf + 3 5.656 * * [simplify]: Extracting #4: cost 213 inf + 801 5.662 * * [simplify]: Extracting #5: cost 140 inf + 15314 5.687 * * [simplify]: Extracting #6: cost 26 inf + 94405 5.716 * * [simplify]: Extracting #7: cost 0 inf + 113797 5.733 * * [simplify]: Extracting #8: cost 0 inf + 112990 5.752 * * [simplify]: Extracting #9: cost 0 inf + 111447 5.777 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 5.777 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 5.778 * * * * [progress]: [ 80 / 133 ] simplifiying candidate # 5.778 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 5.778 * * [simplify]: iters left: 6 (11 enodes) 5.785 * * [simplify]: iters left: 5 (45 enodes) 5.800 * * [simplify]: iters left: 4 (72 enodes) 5.823 * * [simplify]: iters left: 3 (113 enodes) 5.861 * * [simplify]: iters left: 2 (202 enodes) 5.917 * * [simplify]: iters left: 1 (423 enodes) 6.074 * * [simplify]: Extracting #0: cost 1 inf + 0 6.074 * * [simplify]: Extracting #1: cost 45 inf + 0 6.074 * * [simplify]: Extracting #2: cost 135 inf + 0 6.075 * * [simplify]: Extracting #3: cost 200 inf + 4 6.077 * * [simplify]: Extracting #4: cost 178 inf + 4357 6.082 * * [simplify]: Extracting #5: cost 104 inf + 31155 6.091 * * [simplify]: Extracting #6: cost 30 inf + 80538 6.110 * * [simplify]: Extracting #7: cost 0 inf + 106837 6.140 * * [simplify]: Extracting #8: cost 0 inf + 104726 6.166 * * [simplify]: Extracting #9: cost 0 inf + 104144 6.193 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 6.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 6.193 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 6.193 * * [simplify]: iters left: 6 (11 enodes) 6.200 * * [simplify]: iters left: 5 (45 enodes) 6.207 * * [simplify]: iters left: 4 (68 enodes) 6.219 * * [simplify]: iters left: 3 (110 enodes) 6.250 * * [simplify]: iters left: 2 (217 enodes) 6.336 * * [simplify]: iters left: 1 (458 enodes) 6.507 * * [simplify]: Extracting #0: cost 1 inf + 0 6.507 * * [simplify]: Extracting #1: cost 45 inf + 0 6.507 * * [simplify]: Extracting #2: cost 132 inf + 0 6.508 * * [simplify]: Extracting #3: cost 212 inf + 3 6.509 * * [simplify]: Extracting #4: cost 213 inf + 841 6.512 * * [simplify]: Extracting #5: cost 140 inf + 15394 6.533 * * [simplify]: Extracting #6: cost 26 inf + 94485 6.559 * * [simplify]: Extracting #7: cost 0 inf + 113877 6.576 * * [simplify]: Extracting #8: cost 0 inf + 113070 6.597 * * [simplify]: Extracting #9: cost 0 inf + 111527 6.630 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 6.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 6.631 * * * * [progress]: [ 81 / 133 ] simplifiying candidate # 6.631 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 6.631 * * [simplify]: iters left: 6 (10 enodes) 6.637 * * [simplify]: iters left: 5 (41 enodes) 6.651 * * [simplify]: iters left: 4 (68 enodes) 6.678 * * [simplify]: iters left: 3 (109 enodes) 6.715 * * [simplify]: iters left: 2 (194 enodes) 6.793 * * [simplify]: iters left: 1 (414 enodes) 7.005 * * [simplify]: Extracting #0: cost 1 inf + 0 7.005 * * [simplify]: Extracting #1: cost 45 inf + 0 7.006 * * [simplify]: Extracting #2: cost 141 inf + 0 7.008 * * [simplify]: Extracting #3: cost 206 inf + 4 7.015 * * [simplify]: Extracting #4: cost 180 inf + 9439 7.026 * * [simplify]: Extracting #5: cost 108 inf + 27286 7.048 * * [simplify]: Extracting #6: cost 36 inf + 72454 7.079 * * [simplify]: Extracting #7: cost 0 inf + 101831 7.110 * * [simplify]: Extracting #8: cost 0 inf + 101671 7.142 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.142 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.142 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.143 * * [simplify]: iters left: 6 (11 enodes) 7.149 * * [simplify]: iters left: 5 (45 enodes) 7.164 * * [simplify]: iters left: 4 (68 enodes) 7.187 * * [simplify]: iters left: 3 (110 enodes) 7.210 * * [simplify]: iters left: 2 (217 enodes) 7.284 * * [simplify]: iters left: 1 (458 enodes) 7.501 * * [simplify]: Extracting #0: cost 1 inf + 0 7.501 * * [simplify]: Extracting #1: cost 45 inf + 0 7.502 * * [simplify]: Extracting #2: cost 132 inf + 0 7.502 * * [simplify]: Extracting #3: cost 212 inf + 3 7.503 * * [simplify]: Extracting #4: cost 213 inf + 761 7.507 * * [simplify]: Extracting #5: cost 140 inf + 15034 7.519 * * [simplify]: Extracting #6: cost 26 inf + 92245 7.534 * * [simplify]: Extracting #7: cost 0 inf + 111037 7.561 * * [simplify]: Extracting #8: cost 0 inf + 110230 7.594 * * [simplify]: Extracting #9: cost 0 inf + 108687 7.627 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 7.627 * [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))))) 7.627 * * * * [progress]: [ 82 / 133 ] simplifiying candidate # 7.627 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 7.628 * * [simplify]: iters left: 6 (9 enodes) 7.631 * * [simplify]: iters left: 5 (38 enodes) 7.637 * * [simplify]: iters left: 4 (63 enodes) 7.648 * * [simplify]: iters left: 3 (100 enodes) 7.671 * * [simplify]: iters left: 2 (175 enodes) 7.719 * * [simplify]: iters left: 1 (360 enodes) 7.894 * * [simplify]: Extracting #0: cost 1 inf + 0 7.894 * * [simplify]: Extracting #1: cost 52 inf + 0 7.895 * * [simplify]: Extracting #2: cost 150 inf + 3 7.896 * * [simplify]: Extracting #3: cost 190 inf + 8 7.898 * * [simplify]: Extracting #4: cost 161 inf + 3039 7.900 * * [simplify]: Extracting #5: cost 116 inf + 9850 7.907 * * [simplify]: Extracting #6: cost 35 inf + 60283 7.919 * * [simplify]: Extracting #7: cost 2 inf + 86206 7.933 * * [simplify]: Extracting #8: cost 0 inf + 87719 7.945 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 7.945 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 7.945 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 7.945 * * [simplify]: iters left: 6 (10 enodes) 7.949 * * [simplify]: iters left: 5 (42 enodes) 7.956 * * [simplify]: iters left: 4 (65 enodes) 7.972 * * [simplify]: iters left: 3 (104 enodes) 8.012 * * [simplify]: iters left: 2 (206 enodes) 8.061 * * [simplify]: iters left: 1 (435 enodes) 8.249 * * [simplify]: Extracting #0: cost 1 inf + 0 8.249 * * [simplify]: Extracting #1: cost 47 inf + 0 8.249 * * [simplify]: Extracting #2: cost 137 inf + 0 8.250 * * [simplify]: Extracting #3: cost 210 inf + 45 8.251 * * [simplify]: Extracting #4: cost 204 inf + 1134 8.254 * * [simplify]: Extracting #5: cost 148 inf + 9351 8.264 * * [simplify]: Extracting #6: cost 67 inf + 53607 8.292 * * [simplify]: Extracting #7: cost 1 inf + 112920 8.307 * * [simplify]: Extracting #8: cost 0 inf + 111430 8.322 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 8.323 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 8.323 * * * * [progress]: [ 83 / 133 ] simplifiying candidate # 8.323 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.323 * * [simplify]: iters left: 6 (10 enodes) 8.327 * * [simplify]: iters left: 5 (41 enodes) 8.342 * * [simplify]: iters left: 4 (68 enodes) 8.359 * * [simplify]: iters left: 3 (109 enodes) 8.381 * * [simplify]: iters left: 2 (194 enodes) 8.444 * * [simplify]: iters left: 1 (414 enodes) 8.669 * * [simplify]: Extracting #0: cost 1 inf + 0 8.669 * * [simplify]: Extracting #1: cost 45 inf + 0 8.670 * * [simplify]: Extracting #2: cost 141 inf + 0 8.671 * * [simplify]: Extracting #3: cost 206 inf + 4 8.674 * * [simplify]: Extracting #4: cost 180 inf + 9439 8.684 * * [simplify]: Extracting #5: cost 108 inf + 27286 8.702 * * [simplify]: Extracting #6: cost 36 inf + 72454 8.719 * * [simplify]: Extracting #7: cost 0 inf + 101831 8.750 * * [simplify]: Extracting #8: cost 0 inf + 101671 8.780 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 8.781 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 8.781 * * [simplify]: iters left: 6 (11 enodes) 8.788 * * [simplify]: iters left: 5 (45 enodes) 8.802 * * [simplify]: iters left: 4 (68 enodes) 8.814 * * [simplify]: iters left: 3 (110 enodes) 8.839 * * [simplify]: iters left: 2 (217 enodes) 8.895 * * [simplify]: iters left: 1 (458 enodes) 9.110 * * [simplify]: Extracting #0: cost 1 inf + 0 9.110 * * [simplify]: Extracting #1: cost 45 inf + 0 9.111 * * [simplify]: Extracting #2: cost 132 inf + 0 9.112 * * [simplify]: Extracting #3: cost 212 inf + 3 9.118 * * [simplify]: Extracting #4: cost 213 inf + 761 9.124 * * [simplify]: Extracting #5: cost 140 inf + 15034 9.148 * * [simplify]: Extracting #6: cost 26 inf + 92245 9.180 * * [simplify]: Extracting #7: cost 0 inf + 111037 9.213 * * [simplify]: Extracting #8: cost 0 inf + 110230 9.246 * * [simplify]: Extracting #9: cost 0 inf + 108687 9.269 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 9.269 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 9.269 * * * * [progress]: [ 84 / 133 ] simplifiying candidate # 9.269 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 9.269 * * [simplify]: iters left: 6 (8 enodes) 9.272 * * [simplify]: iters left: 5 (33 enodes) 9.279 * * [simplify]: iters left: 4 (56 enodes) 9.289 * * [simplify]: iters left: 3 (98 enodes) 9.328 * * [simplify]: iters left: 2 (203 enodes) 9.384 * * [simplify]: iters left: 1 (443 enodes) 9.629 * * [simplify]: Extracting #0: cost 1 inf + 0 9.629 * * [simplify]: Extracting #1: cost 47 inf + 0 9.631 * * [simplify]: Extracting #2: cost 155 inf + 3 9.633 * * [simplify]: Extracting #3: cost 207 inf + 8 9.640 * * [simplify]: Extracting #4: cost 189 inf + 2296 9.646 * * [simplify]: Extracting #5: cost 112 inf + 20090 9.670 * * [simplify]: Extracting #6: cost 19 inf + 81064 9.702 * * [simplify]: Extracting #7: cost 0 inf + 94833 9.719 * * [simplify]: Extracting #8: cost 0 inf + 93433 9.740 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 9.740 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 9.740 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 9.741 * * [simplify]: iters left: 6 (10 enodes) 9.747 * * [simplify]: iters left: 5 (42 enodes) 9.755 * * [simplify]: iters left: 4 (65 enodes) 9.768 * * [simplify]: iters left: 3 (104 enodes) 9.798 * * [simplify]: iters left: 2 (206 enodes) 9.867 * * [simplify]: iters left: 1 (435 enodes) 10.036 * * [simplify]: Extracting #0: cost 1 inf + 0 10.036 * * [simplify]: Extracting #1: cost 47 inf + 0 10.036 * * [simplify]: Extracting #2: cost 137 inf + 0 10.037 * * [simplify]: Extracting #3: cost 210 inf + 45 10.038 * * [simplify]: Extracting #4: cost 204 inf + 1134 10.043 * * [simplify]: Extracting #5: cost 148 inf + 9351 10.050 * * [simplify]: Extracting #6: cost 67 inf + 53607 10.073 * * [simplify]: Extracting #7: cost 1 inf + 112920 10.089 * * [simplify]: Extracting #8: cost 0 inf + 111430 10.108 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 10.108 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 10.108 * * * * [progress]: [ 85 / 133 ] simplifiying candidate # 10.108 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 10.108 * * [simplify]: iters left: 6 (16 enodes) 10.117 * * [simplify]: iters left: 5 (69 enodes) 10.139 * * [simplify]: iters left: 4 (117 enodes) 10.161 * * [simplify]: iters left: 3 (164 enodes) 10.186 * * [simplify]: iters left: 2 (236 enodes) 10.248 * * [simplify]: iters left: 1 (387 enodes) 10.377 * * [simplify]: Extracting #0: cost 1 inf + 0 10.378 * * [simplify]: Extracting #1: cost 11 inf + 0 10.378 * * [simplify]: Extracting #2: cost 22 inf + 0 10.378 * * [simplify]: Extracting #3: cost 48 inf + 0 10.378 * * [simplify]: Extracting #4: cost 120 inf + 2 10.379 * * [simplify]: Extracting #5: cost 150 inf + 787 10.380 * * [simplify]: Extracting #6: cost 110 inf + 5219 10.384 * * [simplify]: Extracting #7: cost 48 inf + 27777 10.393 * * [simplify]: Extracting #8: cost 12 inf + 58840 10.404 * * [simplify]: Extracting #9: cost 0 inf + 68408 10.417 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 10.417 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 10.418 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 10.418 * * [simplify]: iters left: 6 (14 enodes) 10.426 * * [simplify]: iters left: 5 (57 enodes) 10.446 * * [simplify]: iters left: 4 (90 enodes) 10.474 * * [simplify]: iters left: 3 (127 enodes) 10.514 * * [simplify]: iters left: 2 (195 enodes) 10.592 * * [simplify]: iters left: 1 (356 enodes) 10.737 * * [simplify]: Extracting #0: cost 1 inf + 0 10.737 * * [simplify]: Extracting #1: cost 4 inf + 0 10.737 * * [simplify]: Extracting #2: cost 8 inf + 0 10.737 * * [simplify]: Extracting #3: cost 34 inf + 0 10.738 * * [simplify]: Extracting #4: cost 107 inf + 164 10.739 * * [simplify]: Extracting #5: cost 148 inf + 585 10.742 * * [simplify]: Extracting #6: cost 109 inf + 5352 10.750 * * [simplify]: Extracting #7: cost 45 inf + 27047 10.769 * * [simplify]: Extracting #8: cost 6 inf + 58672 10.793 * * [simplify]: Extracting #9: cost 0 inf + 62696 10.811 * * [simplify]: Extracting #10: cost 0 inf + 62192 10.830 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 10.831 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 10.831 * * * * [progress]: [ 86 / 133 ] simplifiying candidate # 10.831 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 10.831 * * [simplify]: iters left: 6 (16 enodes) 10.841 * * [simplify]: iters left: 5 (66 enodes) 10.863 * * [simplify]: iters left: 4 (103 enodes) 10.893 * * [simplify]: iters left: 3 (142 enodes) 10.922 * * [simplify]: iters left: 2 (210 enodes) 10.975 * * [simplify]: iters left: 1 (370 enodes) 11.113 * * [simplify]: Extracting #0: cost 1 inf + 0 11.113 * * [simplify]: Extracting #1: cost 7 inf + 0 11.113 * * [simplify]: Extracting #2: cost 15 inf + 0 11.113 * * [simplify]: Extracting #3: cost 43 inf + 0 11.114 * * [simplify]: Extracting #4: cost 113 inf + 204 11.115 * * [simplify]: Extracting #5: cost 145 inf + 907 11.117 * * [simplify]: Extracting #6: cost 114 inf + 4465 11.125 * * [simplify]: Extracting #7: cost 52 inf + 23940 11.136 * * [simplify]: Extracting #8: cost 13 inf + 52482 11.146 * * [simplify]: Extracting #9: cost 0 inf + 63276 11.156 * * [simplify]: Extracting #10: cost 0 inf + 62983 11.172 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 11.172 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 11.172 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 11.173 * * [simplify]: iters left: 6 (14 enodes) 11.179 * * [simplify]: iters left: 5 (57 enodes) 11.188 * * [simplify]: iters left: 4 (90 enodes) 11.204 * * [simplify]: iters left: 3 (127 enodes) 11.245 * * [simplify]: iters left: 2 (195 enodes) 11.290 * * [simplify]: iters left: 1 (356 enodes) 11.455 * * [simplify]: Extracting #0: cost 1 inf + 0 11.455 * * [simplify]: Extracting #1: cost 4 inf + 0 11.455 * * [simplify]: Extracting #2: cost 8 inf + 0 11.455 * * [simplify]: Extracting #3: cost 34 inf + 0 11.456 * * [simplify]: Extracting #4: cost 107 inf + 204 11.457 * * [simplify]: Extracting #5: cost 148 inf + 665 11.460 * * [simplify]: Extracting #6: cost 109 inf + 5432 11.468 * * [simplify]: Extracting #7: cost 45 inf + 27127 11.487 * * [simplify]: Extracting #8: cost 6 inf + 58752 11.509 * * [simplify]: Extracting #9: cost 0 inf + 62776 11.531 * * [simplify]: Extracting #10: cost 0 inf + 62272 11.552 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 11.553 * [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))))) 11.553 * * * * [progress]: [ 87 / 133 ] simplifiying candidate # 11.553 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 11.553 * * [simplify]: iters left: 6 (15 enodes) 11.565 * * [simplify]: iters left: 5 (62 enodes) 11.583 * * [simplify]: iters left: 4 (99 enodes) 11.599 * * [simplify]: iters left: 3 (142 enodes) 11.625 * * [simplify]: iters left: 2 (215 enodes) 11.676 * * [simplify]: iters left: 1 (364 enodes) 11.784 * * [simplify]: Extracting #0: cost 1 inf + 0 11.784 * * [simplify]: Extracting #1: cost 7 inf + 0 11.785 * * [simplify]: Extracting #2: cost 14 inf + 0 11.785 * * [simplify]: Extracting #3: cost 41 inf + 0 11.785 * * [simplify]: Extracting #4: cost 107 inf + 165 11.786 * * [simplify]: Extracting #5: cost 134 inf + 713 11.790 * * [simplify]: Extracting #6: cost 89 inf + 7533 11.801 * * [simplify]: Extracting #7: cost 28 inf + 38261 11.818 * * [simplify]: Extracting #8: cost 0 inf + 60484 11.831 * * [simplify]: Extracting #9: cost 0 inf + 60062 11.841 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 11.841 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 11.841 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 11.841 * * [simplify]: iters left: 6 (14 enodes) 11.846 * * [simplify]: iters left: 5 (57 enodes) 11.864 * * [simplify]: iters left: 4 (90 enodes) 11.892 * * [simplify]: iters left: 3 (127 enodes) 11.913 * * [simplify]: iters left: 2 (195 enodes) 11.962 * * [simplify]: iters left: 1 (356 enodes) 12.152 * * [simplify]: Extracting #0: cost 1 inf + 0 12.152 * * [simplify]: Extracting #1: cost 4 inf + 0 12.152 * * [simplify]: Extracting #2: cost 8 inf + 0 12.152 * * [simplify]: Extracting #3: cost 34 inf + 0 12.153 * * [simplify]: Extracting #4: cost 107 inf + 124 12.154 * * [simplify]: Extracting #5: cost 148 inf + 505 12.157 * * [simplify]: Extracting #6: cost 109 inf + 5272 12.165 * * [simplify]: Extracting #7: cost 45 inf + 26887 12.188 * * [simplify]: Extracting #8: cost 6 inf + 58512 12.209 * * [simplify]: Extracting #9: cost 0 inf + 62536 12.230 * * [simplify]: Extracting #10: cost 0 inf + 62032 12.252 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 12.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 12.252 * * * * [progress]: [ 88 / 133 ] simplifiying candidate # 12.252 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 12.253 * * [simplify]: iters left: 6 (14 enodes) 12.257 * * [simplify]: iters left: 5 (59 enodes) 12.267 * * [simplify]: iters left: 4 (96 enodes) 12.282 * * [simplify]: iters left: 3 (136 enodes) 12.321 * * [simplify]: iters left: 2 (205 enodes) 12.374 * * [simplify]: iters left: 1 (370 enodes) 12.496 * * [simplify]: Extracting #0: cost 1 inf + 0 12.496 * * [simplify]: Extracting #1: cost 5 inf + 0 12.496 * * [simplify]: Extracting #2: cost 7 inf + 1 12.496 * * [simplify]: Extracting #3: cost 31 inf + 1 12.497 * * [simplify]: Extracting #4: cost 103 inf + 2 12.497 * * [simplify]: Extracting #5: cost 150 inf + 218 12.498 * * [simplify]: Extracting #6: cost 149 inf + 478 12.500 * * [simplify]: Extracting #7: cost 93 inf + 8914 12.507 * * [simplify]: Extracting #8: cost 27 inf + 33526 12.531 * * [simplify]: Extracting #9: cost 0 inf + 51357 12.547 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 12.547 * [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)))) 12.547 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 12.548 * * [simplify]: iters left: 6 (13 enodes) 12.551 * * [simplify]: iters left: 5 (54 enodes) 12.561 * * [simplify]: iters left: 4 (87 enodes) 12.582 * * [simplify]: iters left: 3 (128 enodes) 12.608 * * [simplify]: iters left: 2 (197 enodes) 12.665 * * [simplify]: iters left: 1 (354 enodes) 12.821 * * [simplify]: Extracting #0: cost 1 inf + 0 12.821 * * [simplify]: Extracting #1: cost 4 inf + 0 12.821 * * [simplify]: Extracting #2: cost 8 inf + 0 12.821 * * [simplify]: Extracting #3: cost 28 inf + 83 12.822 * * [simplify]: Extracting #4: cost 105 inf + 84 12.823 * * [simplify]: Extracting #5: cost 139 inf + 384 12.826 * * [simplify]: Extracting #6: cost 103 inf + 5239 12.832 * * [simplify]: Extracting #7: cost 50 inf + 20824 12.846 * * [simplify]: Extracting #8: cost 15 inf + 47877 12.858 * * [simplify]: Extracting #9: cost 0 inf + 59693 12.867 * * [simplify]: Extracting #10: cost 0 inf + 59363 12.877 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 12.877 * [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)))) 12.877 * * * * [progress]: [ 89 / 133 ] simplifiying candidate # 12.877 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.877 * * [simplify]: iters left: 6 (15 enodes) 12.882 * * [simplify]: iters left: 5 (62 enodes) 12.900 * * [simplify]: iters left: 4 (99 enodes) 12.933 * * [simplify]: iters left: 3 (142 enodes) 12.980 * * [simplify]: iters left: 2 (215 enodes) 13.031 * * [simplify]: iters left: 1 (364 enodes) 13.155 * * [simplify]: Extracting #0: cost 1 inf + 0 13.155 * * [simplify]: Extracting #1: cost 7 inf + 0 13.155 * * [simplify]: Extracting #2: cost 14 inf + 0 13.155 * * [simplify]: Extracting #3: cost 41 inf + 0 13.156 * * [simplify]: Extracting #4: cost 107 inf + 165 13.157 * * [simplify]: Extracting #5: cost 134 inf + 713 13.160 * * [simplify]: Extracting #6: cost 89 inf + 7533 13.166 * * [simplify]: Extracting #7: cost 28 inf + 38261 13.175 * * [simplify]: Extracting #8: cost 0 inf + 60484 13.184 * * [simplify]: Extracting #9: cost 0 inf + 60062 13.193 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.193 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.193 * * [simplify]: iters left: 6 (14 enodes) 13.197 * * [simplify]: iters left: 5 (57 enodes) 13.210 * * [simplify]: iters left: 4 (90 enodes) 13.225 * * [simplify]: iters left: 3 (127 enodes) 13.245 * * [simplify]: iters left: 2 (195 enodes) 13.314 * * [simplify]: iters left: 1 (356 enodes) 13.479 * * [simplify]: Extracting #0: cost 1 inf + 0 13.479 * * [simplify]: Extracting #1: cost 4 inf + 0 13.479 * * [simplify]: Extracting #2: cost 8 inf + 0 13.479 * * [simplify]: Extracting #3: cost 34 inf + 0 13.480 * * [simplify]: Extracting #4: cost 107 inf + 124 13.481 * * [simplify]: Extracting #5: cost 148 inf + 505 13.484 * * [simplify]: Extracting #6: cost 109 inf + 5272 13.492 * * [simplify]: Extracting #7: cost 45 inf + 26887 13.511 * * [simplify]: Extracting #8: cost 6 inf + 58512 13.533 * * [simplify]: Extracting #9: cost 0 inf + 62536 13.551 * * [simplify]: Extracting #10: cost 0 inf + 62032 13.562 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.562 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.562 * * * * [progress]: [ 90 / 133 ] simplifiying candidate # 13.562 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 13.562 * * [simplify]: iters left: 6 (13 enodes) 13.566 * * [simplify]: iters left: 5 (54 enodes) 13.582 * * [simplify]: iters left: 4 (95 enodes) 13.597 * * [simplify]: iters left: 3 (137 enodes) 13.624 * * [simplify]: iters left: 2 (206 enodes) 13.700 * * [simplify]: iters left: 1 (362 enodes) 13.813 * * [simplify]: Extracting #0: cost 1 inf + 0 13.813 * * [simplify]: Extracting #1: cost 5 inf + 0 13.813 * * [simplify]: Extracting #2: cost 7 inf + 1 13.814 * * [simplify]: Extracting #3: cost 32 inf + 1 13.814 * * [simplify]: Extracting #4: cost 110 inf + 2 13.815 * * [simplify]: Extracting #5: cost 158 inf + 176 13.817 * * [simplify]: Extracting #6: cost 151 inf + 644 13.822 * * [simplify]: Extracting #7: cost 91 inf + 10513 13.835 * * [simplify]: Extracting #8: cost 37 inf + 29756 13.860 * * [simplify]: Extracting #9: cost 0 inf + 59764 13.882 * * [simplify]: Extracting #10: cost 0 inf + 58856 13.901 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 13.901 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.901 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.901 * * [simplify]: iters left: 6 (13 enodes) 13.905 * * [simplify]: iters left: 5 (54 enodes) 13.914 * * [simplify]: iters left: 4 (87 enodes) 13.929 * * [simplify]: iters left: 3 (128 enodes) 13.958 * * [simplify]: iters left: 2 (197 enodes) 13.997 * * [simplify]: iters left: 1 (354 enodes) 14.119 * * [simplify]: Extracting #0: cost 1 inf + 0 14.119 * * [simplify]: Extracting #1: cost 4 inf + 0 14.119 * * [simplify]: Extracting #2: cost 8 inf + 0 14.119 * * [simplify]: Extracting #3: cost 28 inf + 83 14.120 * * [simplify]: Extracting #4: cost 105 inf + 84 14.121 * * [simplify]: Extracting #5: cost 139 inf + 384 14.123 * * [simplify]: Extracting #6: cost 103 inf + 5239 14.135 * * [simplify]: Extracting #7: cost 50 inf + 20824 14.148 * * [simplify]: Extracting #8: cost 15 inf + 47877 14.166 * * [simplify]: Extracting #9: cost 0 inf + 59693 14.185 * * [simplify]: Extracting #10: cost 0 inf + 59363 14.203 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 14.204 * [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)))) 14.204 * * * * [progress]: [ 91 / 133 ] simplifiying candidate # 14.204 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.204 * * [simplify]: iters left: 6 (15 enodes) 14.212 * * [simplify]: iters left: 5 (62 enodes) 14.232 * * [simplify]: iters left: 4 (98 enodes) 14.258 * * [simplify]: iters left: 3 (134 enodes) 14.281 * * [simplify]: iters left: 2 (202 enodes) 14.333 * * [simplify]: iters left: 1 (362 enodes) 14.458 * * [simplify]: Extracting #0: cost 1 inf + 0 14.458 * * [simplify]: Extracting #1: cost 6 inf + 0 14.458 * * [simplify]: Extracting #2: cost 13 inf + 0 14.458 * * [simplify]: Extracting #3: cost 43 inf + 0 14.459 * * [simplify]: Extracting #4: cost 120 inf + 285 14.460 * * [simplify]: Extracting #5: cost 141 inf + 1984 14.466 * * [simplify]: Extracting #6: cost 72 inf + 21416 14.481 * * [simplify]: Extracting #7: cost 23 inf + 42391 14.498 * * [simplify]: Extracting #8: cost 0 inf + 61728 14.517 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 14.517 * [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))))) 14.518 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.518 * * [simplify]: iters left: 6 (14 enodes) 14.526 * * [simplify]: iters left: 5 (57 enodes) 14.543 * * [simplify]: iters left: 4 (91 enodes) 14.558 * * [simplify]: iters left: 3 (127 enodes) 14.594 * * [simplify]: iters left: 2 (195 enodes) 14.643 * * [simplify]: iters left: 1 (354 enodes) 14.810 * * [simplify]: Extracting #0: cost 1 inf + 0 14.810 * * [simplify]: Extracting #1: cost 4 inf + 0 14.810 * * [simplify]: Extracting #2: cost 9 inf + 0 14.810 * * [simplify]: Extracting #3: cost 36 inf + 0 14.811 * * [simplify]: Extracting #4: cost 113 inf + 205 14.812 * * [simplify]: Extracting #5: cost 131 inf + 2415 14.821 * * [simplify]: Extracting #6: cost 45 inf + 33802 14.843 * * [simplify]: Extracting #7: cost 2 inf + 54796 14.869 * * [simplify]: Extracting #8: cost 0 inf + 53175 14.894 * * [simplify]: Extracting #9: cost 0 inf + 52741 14.920 * * [simplify]: Extracting #10: cost 0 inf + 52079 14.945 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 14.945 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 14.945 * * * * [progress]: [ 92 / 133 ] simplifiying candidate # 14.946 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 14.946 * * [simplify]: iters left: 6 (15 enodes) 14.957 * * [simplify]: iters left: 5 (61 enodes) 14.975 * * [simplify]: iters left: 4 (95 enodes) 15.002 * * [simplify]: iters left: 3 (131 enodes) 15.041 * * [simplify]: iters left: 2 (199 enodes) 15.095 * * [simplify]: iters left: 1 (362 enodes) 15.236 * * [simplify]: Extracting #0: cost 1 inf + 0 15.236 * * [simplify]: Extracting #1: cost 4 inf + 0 15.236 * * [simplify]: Extracting #2: cost 10 inf + 0 15.237 * * [simplify]: Extracting #3: cost 41 inf + 0 15.237 * * [simplify]: Extracting #4: cost 124 inf + 325 15.238 * * [simplify]: Extracting #5: cost 146 inf + 2066 15.240 * * [simplify]: Extracting #6: cost 94 inf + 10304 15.253 * * [simplify]: Extracting #7: cost 23 inf + 47402 15.265 * * [simplify]: Extracting #8: cost 0 inf + 67276 15.278 * * [simplify]: Extracting #9: cost 0 inf + 66421 15.288 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 15.288 * [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))))) 15.288 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.288 * * [simplify]: iters left: 6 (14 enodes) 15.292 * * [simplify]: iters left: 5 (57 enodes) 15.311 * * [simplify]: iters left: 4 (91 enodes) 15.340 * * [simplify]: iters left: 3 (127 enodes) 15.370 * * [simplify]: iters left: 2 (195 enodes) 15.430 * * [simplify]: iters left: 1 (354 enodes) 15.587 * * [simplify]: Extracting #0: cost 1 inf + 0 15.587 * * [simplify]: Extracting #1: cost 4 inf + 0 15.587 * * [simplify]: Extracting #2: cost 9 inf + 0 15.587 * * [simplify]: Extracting #3: cost 36 inf + 0 15.587 * * [simplify]: Extracting #4: cost 113 inf + 285 15.588 * * [simplify]: Extracting #5: cost 131 inf + 2495 15.593 * * [simplify]: Extracting #6: cost 45 inf + 33882 15.608 * * [simplify]: Extracting #7: cost 2 inf + 54876 15.622 * * [simplify]: Extracting #8: cost 0 inf + 53255 15.636 * * [simplify]: Extracting #9: cost 0 inf + 52821 15.651 * * [simplify]: Extracting #10: cost 0 inf + 52159 15.671 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 15.671 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 15.672 * * * * [progress]: [ 93 / 133 ] simplifiying candidate # 15.672 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 15.672 * * [simplify]: iters left: 6 (14 enodes) 15.680 * * [simplify]: iters left: 5 (57 enodes) 15.699 * * [simplify]: iters left: 4 (91 enodes) 15.726 * * [simplify]: iters left: 3 (127 enodes) 15.770 * * [simplify]: iters left: 2 (195 enodes) 15.842 * * [simplify]: iters left: 1 (354 enodes) 15.990 * * [simplify]: Extracting #0: cost 1 inf + 0 15.990 * * [simplify]: Extracting #1: cost 4 inf + 0 15.990 * * [simplify]: Extracting #2: cost 9 inf + 0 15.990 * * [simplify]: Extracting #3: cost 36 inf + 0 15.991 * * [simplify]: Extracting #4: cost 113 inf + 165 15.992 * * [simplify]: Extracting #5: cost 131 inf + 2335 15.996 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.011 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.039 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.067 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.089 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.103 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.104 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.104 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.104 * * [simplify]: iters left: 6 (14 enodes) 16.112 * * [simplify]: iters left: 5 (57 enodes) 16.129 * * [simplify]: iters left: 4 (91 enodes) 16.143 * * [simplify]: iters left: 3 (127 enodes) 16.168 * * [simplify]: iters left: 2 (195 enodes) 16.209 * * [simplify]: iters left: 1 (354 enodes) 16.373 * * [simplify]: Extracting #0: cost 1 inf + 0 16.373 * * [simplify]: Extracting #1: cost 4 inf + 0 16.373 * * [simplify]: Extracting #2: cost 9 inf + 0 16.373 * * [simplify]: Extracting #3: cost 36 inf + 0 16.374 * * [simplify]: Extracting #4: cost 113 inf + 165 16.376 * * [simplify]: Extracting #5: cost 131 inf + 2335 16.385 * * [simplify]: Extracting #6: cost 45 inf + 33642 16.407 * * [simplify]: Extracting #7: cost 2 inf + 54636 16.424 * * [simplify]: Extracting #8: cost 0 inf + 53015 16.442 * * [simplify]: Extracting #9: cost 0 inf + 52581 16.457 * * [simplify]: Extracting #10: cost 0 inf + 51919 16.471 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 16.472 * * * * [progress]: [ 94 / 133 ] simplifiying candidate # 16.472 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 16.472 * * [simplify]: iters left: 6 (13 enodes) 16.477 * * [simplify]: iters left: 5 (54 enodes) 16.486 * * [simplify]: iters left: 4 (88 enodes) 16.509 * * [simplify]: iters left: 3 (127 enodes) 16.537 * * [simplify]: iters left: 2 (196 enodes) 16.574 * * [simplify]: iters left: 1 (362 enodes) 16.719 * * [simplify]: Extracting #0: cost 1 inf + 0 16.719 * * [simplify]: Extracting #1: cost 5 inf + 0 16.719 * * [simplify]: Extracting #2: cost 27 inf + 1 16.720 * * [simplify]: Extracting #3: cost 103 inf + 2 16.726 * * [simplify]: Extracting #4: cost 147 inf + 177 16.728 * * [simplify]: Extracting #5: cost 138 inf + 686 16.731 * * [simplify]: Extracting #6: cost 90 inf + 5192 16.740 * * [simplify]: Extracting #7: cost 29 inf + 34526 16.758 * * [simplify]: Extracting #8: cost 3 inf + 53567 16.776 * * [simplify]: Extracting #9: cost 0 inf + 55996 16.795 * * [simplify]: Extracting #10: cost 0 inf + 55520 16.813 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 16.813 * [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)))) 16.814 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 16.814 * * [simplify]: iters left: 6 (13 enodes) 16.821 * * [simplify]: iters left: 5 (54 enodes) 16.833 * * [simplify]: iters left: 4 (88 enodes) 16.847 * * [simplify]: iters left: 3 (125 enodes) 16.873 * * [simplify]: iters left: 2 (193 enodes) 16.921 * * [simplify]: iters left: 1 (356 enodes) 17.042 * * [simplify]: Extracting #0: cost 1 inf + 0 17.042 * * [simplify]: Extracting #1: cost 4 inf + 0 17.042 * * [simplify]: Extracting #2: cost 9 inf + 0 17.042 * * [simplify]: Extracting #3: cost 32 inf + 1 17.042 * * [simplify]: Extracting #4: cost 105 inf + 84 17.043 * * [simplify]: Extracting #5: cost 125 inf + 1632 17.046 * * [simplify]: Extracting #6: cost 73 inf + 13139 17.055 * * [simplify]: Extracting #7: cost 9 inf + 42244 17.068 * * [simplify]: Extracting #8: cost 0 inf + 47700 17.086 * * [simplify]: Extracting #9: cost 0 inf + 47090 17.112 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 17.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 17.112 * * * * [progress]: [ 95 / 133 ] simplifiying candidate # 17.112 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.112 * * [simplify]: iters left: 6 (14 enodes) 17.120 * * [simplify]: iters left: 5 (57 enodes) 17.139 * * [simplify]: iters left: 4 (91 enodes) 17.159 * * [simplify]: iters left: 3 (127 enodes) 17.184 * * [simplify]: iters left: 2 (195 enodes) 17.246 * * [simplify]: iters left: 1 (354 enodes) 17.371 * * [simplify]: Extracting #0: cost 1 inf + 0 17.371 * * [simplify]: Extracting #1: cost 4 inf + 0 17.371 * * [simplify]: Extracting #2: cost 9 inf + 0 17.371 * * [simplify]: Extracting #3: cost 36 inf + 0 17.371 * * [simplify]: Extracting #4: cost 113 inf + 165 17.372 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.377 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.398 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.412 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.428 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.452 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.467 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.467 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.467 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.467 * * [simplify]: iters left: 6 (14 enodes) 17.471 * * [simplify]: iters left: 5 (57 enodes) 17.481 * * [simplify]: iters left: 4 (91 enodes) 17.505 * * [simplify]: iters left: 3 (127 enodes) 17.546 * * [simplify]: iters left: 2 (195 enodes) 17.610 * * [simplify]: iters left: 1 (354 enodes) 17.731 * * [simplify]: Extracting #0: cost 1 inf + 0 17.731 * * [simplify]: Extracting #1: cost 4 inf + 0 17.731 * * [simplify]: Extracting #2: cost 9 inf + 0 17.731 * * [simplify]: Extracting #3: cost 36 inf + 0 17.732 * * [simplify]: Extracting #4: cost 113 inf + 165 17.733 * * [simplify]: Extracting #5: cost 131 inf + 2335 17.737 * * [simplify]: Extracting #6: cost 45 inf + 33642 17.759 * * [simplify]: Extracting #7: cost 2 inf + 54636 17.781 * * [simplify]: Extracting #8: cost 0 inf + 53015 17.796 * * [simplify]: Extracting #9: cost 0 inf + 52581 17.811 * * [simplify]: Extracting #10: cost 0 inf + 51919 17.826 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.826 * * * * [progress]: [ 96 / 133 ] simplifiying candidate # 17.826 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 17.826 * * [simplify]: iters left: 6 (12 enodes) 17.830 * * [simplify]: iters left: 5 (49 enodes) 17.840 * * [simplify]: iters left: 4 (83 enodes) 17.856 * * [simplify]: iters left: 3 (124 enodes) 17.884 * * [simplify]: iters left: 2 (197 enodes) 17.927 * * [simplify]: iters left: 1 (352 enodes) 18.047 * * [simplify]: Extracting #0: cost 1 inf + 0 18.047 * * [simplify]: Extracting #1: cost 5 inf + 0 18.047 * * [simplify]: Extracting #2: cost 27 inf + 1 18.048 * * [simplify]: Extracting #3: cost 107 inf + 2 18.048 * * [simplify]: Extracting #4: cost 136 inf + 177 18.049 * * [simplify]: Extracting #5: cost 129 inf + 724 18.051 * * [simplify]: Extracting #6: cost 68 inf + 10028 18.056 * * [simplify]: Extracting #7: cost 27 inf + 32706 18.065 * * [simplify]: Extracting #8: cost 0 inf + 57385 18.074 * * [simplify]: Extracting #9: cost 0 inf + 56670 18.091 * * [simplify]: Extracting #10: cost 0 inf + 56408 18.107 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 18.107 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 18.108 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 18.108 * * [simplify]: iters left: 6 (13 enodes) 18.112 * * [simplify]: iters left: 5 (54 enodes) 18.125 * * [simplify]: iters left: 4 (88 enodes) 18.139 * * [simplify]: iters left: 3 (125 enodes) 18.163 * * [simplify]: iters left: 2 (193 enodes) 18.213 * * [simplify]: iters left: 1 (356 enodes) 18.356 * * [simplify]: Extracting #0: cost 1 inf + 0 18.356 * * [simplify]: Extracting #1: cost 4 inf + 0 18.356 * * [simplify]: Extracting #2: cost 9 inf + 0 18.356 * * [simplify]: Extracting #3: cost 32 inf + 1 18.356 * * [simplify]: Extracting #4: cost 105 inf + 84 18.357 * * [simplify]: Extracting #5: cost 125 inf + 1632 18.360 * * [simplify]: Extracting #6: cost 73 inf + 13139 18.372 * * [simplify]: Extracting #7: cost 9 inf + 42244 18.388 * * [simplify]: Extracting #8: cost 0 inf + 47700 18.401 * * [simplify]: Extracting #9: cost 0 inf + 47090 18.424 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.425 * * * * [progress]: [ 97 / 133 ] simplifiying candidate # 18.425 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.425 * * [simplify]: iters left: 6 (6 enodes) 18.428 * * [simplify]: iters left: 5 (22 enodes) 18.436 * * [simplify]: iters left: 4 (26 enodes) 18.443 * * [simplify]: Extracting #0: cost 1 inf + 0 18.443 * * [simplify]: Extracting #1: cost 6 inf + 0 18.444 * * [simplify]: Extracting #2: cost 9 inf + 1 18.444 * * [simplify]: Extracting #3: cost 11 inf + 1 18.444 * * [simplify]: Extracting #4: cost 8 inf + 84 18.444 * * [simplify]: Extracting #5: cost 2 inf + 1013 18.444 * * [simplify]: Extracting #6: cost 0 inf + 1376 18.445 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 18.445 * [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))))) 18.445 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.445 * * [simplify]: iters left: 6 (13 enodes) 18.452 * * [simplify]: iters left: 5 (54 enodes) 18.472 * * [simplify]: iters left: 4 (89 enodes) 18.501 * * [simplify]: iters left: 3 (136 enodes) 18.534 * * [simplify]: iters left: 2 (221 enodes) 18.596 * * [simplify]: iters left: 1 (444 enodes) 18.801 * * [simplify]: Extracting #0: cost 1 inf + 0 18.801 * * [simplify]: Extracting #1: cost 51 inf + 0 18.802 * * [simplify]: Extracting #2: cost 141 inf + 0 18.803 * * [simplify]: Extracting #3: cost 217 inf + 3 18.806 * * [simplify]: Extracting #4: cost 206 inf + 1256 18.813 * * [simplify]: Extracting #5: cost 128 inf + 22660 18.833 * * [simplify]: Extracting #6: cost 23 inf + 103572 18.856 * * [simplify]: Extracting #7: cost 0 inf + 122695 18.884 * * [simplify]: Extracting #8: cost 0 inf + 120000 18.917 * * [simplify]: Extracting #9: cost 0 inf + 119244 18.936 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 18.936 * [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))))) 18.936 * * * * [progress]: [ 98 / 133 ] simplifiying candidate # 18.936 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 18.936 * * [simplify]: iters left: 6 (6 enodes) 18.940 * * [simplify]: iters left: 5 (21 enodes) 18.946 * * [simplify]: iters left: 4 (23 enodes) 18.953 * * [simplify]: Extracting #0: cost 1 inf + 0 18.953 * * [simplify]: Extracting #1: cost 4 inf + 0 18.953 * * [simplify]: Extracting #2: cost 6 inf + 1 18.953 * * [simplify]: Extracting #3: cost 9 inf + 1 18.953 * * [simplify]: Extracting #4: cost 8 inf + 2 18.953 * * [simplify]: Extracting #5: cost 1 inf + 810 18.953 * * [simplify]: Extracting #6: cost 0 inf + 972 18.954 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 18.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 18.954 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 18.954 * * [simplify]: iters left: 6 (13 enodes) 18.962 * * [simplify]: iters left: 5 (54 enodes) 18.982 * * [simplify]: iters left: 4 (89 enodes) 19.011 * * [simplify]: iters left: 3 (136 enodes) 19.032 * * [simplify]: iters left: 2 (221 enodes) 19.090 * * [simplify]: iters left: 1 (444 enodes) 19.257 * * [simplify]: Extracting #0: cost 1 inf + 0 19.257 * * [simplify]: Extracting #1: cost 51 inf + 0 19.258 * * [simplify]: Extracting #2: cost 141 inf + 0 19.258 * * [simplify]: Extracting #3: cost 217 inf + 3 19.260 * * [simplify]: Extracting #4: cost 206 inf + 1296 19.264 * * [simplify]: Extracting #5: cost 128 inf + 22740 19.278 * * [simplify]: Extracting #6: cost 23 inf + 103652 19.297 * * [simplify]: Extracting #7: cost 0 inf + 122775 19.322 * * [simplify]: Extracting #8: cost 0 inf + 120080 19.360 * * [simplify]: Extracting #9: cost 0 inf + 119324 19.397 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 19.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 19.397 * * * * [progress]: [ 99 / 133 ] simplifiying candidate # 19.398 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.398 * * [simplify]: iters left: 4 (5 enodes) 19.401 * * [simplify]: iters left: 3 (17 enodes) 19.406 * * [simplify]: iters left: 2 (19 enodes) 19.409 * * [simplify]: Extracting #0: cost 1 inf + 0 19.409 * * [simplify]: Extracting #1: cost 4 inf + 0 19.409 * * [simplify]: Extracting #2: cost 5 inf + 1 19.409 * * [simplify]: Extracting #3: cost 7 inf + 1 19.409 * * [simplify]: Extracting #4: cost 0 inf + 490 19.409 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.409 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.409 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.409 * * [simplify]: iters left: 6 (13 enodes) 19.413 * * [simplify]: iters left: 5 (54 enodes) 19.423 * * [simplify]: iters left: 4 (89 enodes) 19.438 * * [simplify]: iters left: 3 (136 enodes) 19.484 * * [simplify]: iters left: 2 (221 enodes) 19.551 * * [simplify]: iters left: 1 (444 enodes) 19.742 * * [simplify]: Extracting #0: cost 1 inf + 0 19.742 * * [simplify]: Extracting #1: cost 51 inf + 0 19.743 * * [simplify]: Extracting #2: cost 141 inf + 0 19.744 * * [simplify]: Extracting #3: cost 217 inf + 3 19.745 * * [simplify]: Extracting #4: cost 206 inf + 1176 19.751 * * [simplify]: Extracting #5: cost 128 inf + 22380 19.766 * * [simplify]: Extracting #6: cost 23 inf + 101172 19.786 * * [simplify]: Extracting #7: cost 0 inf + 119655 19.825 * * [simplify]: Extracting #8: cost 0 inf + 116960 19.866 * * [simplify]: Extracting #9: cost 0 inf + 116204 19.886 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 19.886 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 19.886 * * * * [progress]: [ 100 / 133 ] simplifiying candidate # 19.886 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.886 * * [simplify]: iters left: 3 (3 enodes) 19.890 * * [simplify]: iters left: 2 (11 enodes) 19.892 * * [simplify]: iters left: 1 (13 enodes) 19.894 * * [simplify]: Extracting #0: cost 1 inf + 0 19.894 * * [simplify]: Extracting #1: cost 0 inf + 1 19.894 * [simplify]: Simplified to 1 19.894 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 19.894 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 19.894 * * [simplify]: iters left: 6 (12 enodes) 19.898 * * [simplify]: iters left: 5 (51 enodes) 19.907 * * [simplify]: iters left: 4 (86 enodes) 19.921 * * [simplify]: iters left: 3 (133 enodes) 19.958 * * [simplify]: iters left: 2 (218 enodes) 20.018 * * [simplify]: iters left: 1 (444 enodes) 20.173 * * [simplify]: Extracting #0: cost 1 inf + 0 20.173 * * [simplify]: Extracting #1: cost 39 inf + 0 20.174 * * [simplify]: Extracting #2: cost 126 inf + 0 20.175 * * [simplify]: Extracting #3: cost 201 inf + 4 20.176 * * [simplify]: Extracting #4: cost 191 inf + 1382 20.178 * * [simplify]: Extracting #5: cost 133 inf + 10319 20.186 * * [simplify]: Extracting #6: cost 56 inf + 58095 20.218 * * [simplify]: Extracting #7: cost 0 inf + 104434 20.251 * * [simplify]: Extracting #8: cost 0 inf + 104433 20.279 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 20.280 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 20.280 * * * * [progress]: [ 101 / 133 ] simplifiying candidate # 20.280 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.280 * * [simplify]: iters left: 4 (5 enodes) 20.282 * * [simplify]: iters left: 3 (17 enodes) 20.285 * * [simplify]: iters left: 2 (19 enodes) 20.287 * * [simplify]: Extracting #0: cost 1 inf + 0 20.287 * * [simplify]: Extracting #1: cost 4 inf + 0 20.288 * * [simplify]: Extracting #2: cost 5 inf + 1 20.288 * * [simplify]: Extracting #3: cost 7 inf + 1 20.288 * * [simplify]: Extracting #4: cost 0 inf + 490 20.288 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.288 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.288 * * [simplify]: iters left: 6 (13 enodes) 20.292 * * [simplify]: iters left: 5 (54 enodes) 20.302 * * [simplify]: iters left: 4 (89 enodes) 20.324 * * [simplify]: iters left: 3 (136 enodes) 20.349 * * [simplify]: iters left: 2 (221 enodes) 20.435 * * [simplify]: iters left: 1 (444 enodes) 20.628 * * [simplify]: Extracting #0: cost 1 inf + 0 20.629 * * [simplify]: Extracting #1: cost 51 inf + 0 20.629 * * [simplify]: Extracting #2: cost 141 inf + 0 20.630 * * [simplify]: Extracting #3: cost 217 inf + 3 20.631 * * [simplify]: Extracting #4: cost 206 inf + 1176 20.634 * * [simplify]: Extracting #5: cost 128 inf + 22380 20.657 * * [simplify]: Extracting #6: cost 23 inf + 101172 20.676 * * [simplify]: Extracting #7: cost 0 inf + 119655 20.703 * * [simplify]: Extracting #8: cost 0 inf + 116960 20.722 * * [simplify]: Extracting #9: cost 0 inf + 116204 20.753 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.753 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.753 * * * * [progress]: [ 102 / 133 ] simplifiying candidate # 20.753 * [simplify]: Simplifying (/ 1 1) 20.754 * * [simplify]: iters left: 2 (2 enodes) 20.755 * * [simplify]: iters left: 1 (6 enodes) 20.757 * * [simplify]: Extracting #0: cost 1 inf + 0 20.757 * * [simplify]: Extracting #1: cost 0 inf + 1 20.757 * [simplify]: Simplified to 1 20.757 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 20.757 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 20.758 * * [simplify]: iters left: 6 (12 enodes) 20.761 * * [simplify]: iters left: 5 (51 enodes) 20.770 * * [simplify]: iters left: 4 (86 enodes) 20.784 * * [simplify]: iters left: 3 (133 enodes) 20.828 * * [simplify]: iters left: 2 (218 enodes) 20.892 * * [simplify]: iters left: 1 (444 enodes) 21.115 * * [simplify]: Extracting #0: cost 1 inf + 0 21.115 * * [simplify]: Extracting #1: cost 39 inf + 0 21.116 * * [simplify]: Extracting #2: cost 126 inf + 0 21.118 * * [simplify]: Extracting #3: cost 201 inf + 4 21.120 * * [simplify]: Extracting #4: cost 191 inf + 1382 21.125 * * [simplify]: Extracting #5: cost 133 inf + 10319 21.140 * * [simplify]: Extracting #6: cost 56 inf + 58095 21.165 * * [simplify]: Extracting #7: cost 0 inf + 104434 21.185 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.201 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.201 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.201 * * * * [progress]: [ 103 / 133 ] simplifiying candidate # 21.201 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.202 * * [simplify]: iters left: 6 (15 enodes) 21.207 * * [simplify]: iters left: 5 (65 enodes) 21.230 * * [simplify]: iters left: 4 (109 enodes) 21.252 * * [simplify]: iters left: 3 (185 enodes) 21.310 * * [simplify]: iters left: 2 (368 enodes) 21.420 * * [simplify]: Extracting #0: cost 1 inf + 0 21.421 * * [simplify]: Extracting #1: cost 54 inf + 0 21.421 * * [simplify]: Extracting #2: cost 144 inf + 0 21.423 * * [simplify]: Extracting #3: cost 223 inf + 2 21.425 * * [simplify]: Extracting #4: cost 205 inf + 3811 21.433 * * [simplify]: Extracting #5: cost 131 inf + 29200 21.449 * * [simplify]: Extracting #6: cost 16 inf + 109445 21.467 * * [simplify]: Extracting #7: cost 0 inf + 122156 21.503 * * [simplify]: Extracting #8: cost 0 inf + 122025 21.520 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 21.520 * [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))))) 21.521 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 21.521 * * [simplify]: iters left: 6 (14 enodes) 21.525 * * [simplify]: iters left: 5 (60 enodes) 21.541 * * [simplify]: iters left: 4 (98 enodes) 21.574 * * [simplify]: iters left: 3 (157 enodes) 21.615 * * [simplify]: iters left: 2 (290 enodes) 21.700 * * [simplify]: Extracting #0: cost 1 inf + 0 21.700 * * [simplify]: Extracting #1: cost 30 inf + 0 21.701 * * [simplify]: Extracting #2: cost 72 inf + 0 21.701 * * [simplify]: Extracting #3: cost 138 inf + 2 21.705 * * [simplify]: Extracting #4: cost 143 inf + 890 21.707 * * [simplify]: Extracting #5: cost 80 inf + 17711 21.714 * * [simplify]: Extracting #6: cost 8 inf + 48515 21.723 * * [simplify]: Extracting #7: cost 0 inf + 53624 21.731 * * [simplify]: Extracting #8: cost 0 inf + 53424 21.747 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 21.747 * [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))))) 21.747 * * * * [progress]: [ 104 / 133 ] simplifiying candidate # 21.747 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 21.747 * * [simplify]: iters left: 6 (15 enodes) 21.757 * * [simplify]: iters left: 5 (64 enodes) 21.779 * * [simplify]: iters left: 4 (102 enodes) 21.812 * * [simplify]: iters left: 3 (161 enodes) 21.873 * * [simplify]: iters left: 2 (288 enodes) 21.961 * * [simplify]: Extracting #0: cost 1 inf + 0 21.961 * * [simplify]: Extracting #1: cost 30 inf + 0 21.961 * * [simplify]: Extracting #2: cost 73 inf + 0 21.962 * * [simplify]: Extracting #3: cost 138 inf + 2 21.963 * * [simplify]: Extracting #4: cost 143 inf + 389 21.966 * * [simplify]: Extracting #5: cost 103 inf + 4729 21.975 * * [simplify]: Extracting #6: cost 27 inf + 38097 21.990 * * [simplify]: Extracting #7: cost 0 inf + 59534 22.003 * * [simplify]: Extracting #8: cost 0 inf + 59452 22.011 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 22.011 * [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))))) 22.011 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 22.011 * * [simplify]: iters left: 6 (14 enodes) 22.015 * * [simplify]: iters left: 5 (60 enodes) 22.026 * * [simplify]: iters left: 4 (98 enodes) 22.051 * * [simplify]: iters left: 3 (157 enodes) 22.091 * * [simplify]: iters left: 2 (290 enodes) 22.174 * * [simplify]: Extracting #0: cost 1 inf + 0 22.174 * * [simplify]: Extracting #1: cost 30 inf + 0 22.174 * * [simplify]: Extracting #2: cost 72 inf + 0 22.175 * * [simplify]: Extracting #3: cost 138 inf + 2 22.175 * * [simplify]: Extracting #4: cost 143 inf + 890 22.178 * * [simplify]: Extracting #5: cost 80 inf + 17791 22.186 * * [simplify]: Extracting #6: cost 8 inf + 48595 22.203 * * [simplify]: Extracting #7: cost 0 inf + 53704 22.220 * * [simplify]: Extracting #8: cost 0 inf + 53504 22.236 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 22.237 * [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))))) 22.237 * * * * [progress]: [ 105 / 133 ] simplifiying candidate # 22.237 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.237 * * [simplify]: iters left: 6 (14 enodes) 22.246 * * [simplify]: iters left: 5 (60 enodes) 22.266 * * [simplify]: iters left: 4 (98 enodes) 22.300 * * [simplify]: iters left: 3 (157 enodes) 22.344 * * [simplify]: iters left: 2 (290 enodes) 22.425 * * [simplify]: Extracting #0: cost 1 inf + 0 22.425 * * [simplify]: Extracting #1: cost 30 inf + 0 22.425 * * [simplify]: Extracting #2: cost 72 inf + 0 22.426 * * [simplify]: Extracting #3: cost 138 inf + 2 22.428 * * [simplify]: Extracting #4: cost 143 inf + 890 22.433 * * [simplify]: Extracting #5: cost 80 inf + 17431 22.445 * * [simplify]: Extracting #6: cost 8 inf + 47315 22.454 * * [simplify]: Extracting #7: cost 0 inf + 52144 22.462 * * [simplify]: Extracting #8: cost 0 inf + 51944 22.470 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.471 * [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))))) 22.471 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 22.471 * * [simplify]: iters left: 6 (14 enodes) 22.478 * * [simplify]: iters left: 5 (60 enodes) 22.499 * * [simplify]: iters left: 4 (98 enodes) 22.534 * * [simplify]: iters left: 3 (157 enodes) 22.565 * * [simplify]: iters left: 2 (290 enodes) 22.672 * * [simplify]: Extracting #0: cost 1 inf + 0 22.673 * * [simplify]: Extracting #1: cost 30 inf + 0 22.673 * * [simplify]: Extracting #2: cost 72 inf + 0 22.673 * * [simplify]: Extracting #3: cost 138 inf + 2 22.674 * * [simplify]: Extracting #4: cost 143 inf + 890 22.676 * * [simplify]: Extracting #5: cost 80 inf + 17431 22.683 * * [simplify]: Extracting #6: cost 8 inf + 47315 22.695 * * [simplify]: Extracting #7: cost 0 inf + 52144 22.712 * * [simplify]: Extracting #8: cost 0 inf + 51944 22.729 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 22.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 22.729 * * * * [progress]: [ 106 / 133 ] simplifiying candidate # 22.729 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 22.730 * * [simplify]: iters left: 6 (13 enodes) 22.739 * * [simplify]: iters left: 5 (57 enodes) 22.758 * * [simplify]: iters left: 4 (93 enodes) 22.793 * * [simplify]: iters left: 3 (148 enodes) 22.846 * * [simplify]: iters left: 2 (271 enodes) 22.952 * * [simplify]: iters left: 1 (497 enodes) 23.174 * * [simplify]: Extracting #0: cost 1 inf + 0 23.174 * * [simplify]: Extracting #1: cost 54 inf + 0 23.175 * * [simplify]: Extracting #2: cost 165 inf + 2 23.177 * * [simplify]: Extracting #3: cost 238 inf + 220 23.180 * * [simplify]: Extracting #4: cost 231 inf + 855 23.184 * * [simplify]: Extracting #5: cost 139 inf + 14771 23.202 * * [simplify]: Extracting #6: cost 27 inf + 65033 23.228 * * [simplify]: Extracting #7: cost 0 inf + 84937 23.268 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 23.268 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 23.269 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 23.269 * * [simplify]: iters left: 6 (13 enodes) 23.277 * * [simplify]: iters left: 5 (57 enodes) 23.297 * * [simplify]: iters left: 4 (95 enodes) 23.328 * * [simplify]: iters left: 3 (154 enodes) 23.388 * * [simplify]: iters left: 2 (287 enodes) 23.475 * * [simplify]: Extracting #0: cost 1 inf + 0 23.475 * * [simplify]: Extracting #1: cost 30 inf + 0 23.475 * * [simplify]: Extracting #2: cost 73 inf + 0 23.476 * * [simplify]: Extracting #3: cost 136 inf + 3 23.477 * * [simplify]: Extracting #4: cost 130 inf + 1385 23.482 * * [simplify]: Extracting #5: cost 76 inf + 14535 23.494 * * [simplify]: Extracting #6: cost 5 inf + 50457 23.509 * * [simplify]: Extracting #7: cost 0 inf + 54374 23.525 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 23.525 * [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)))) 23.525 * * * * [progress]: [ 107 / 133 ] simplifiying candidate # 23.525 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.526 * * [simplify]: iters left: 6 (14 enodes) 23.533 * * [simplify]: iters left: 5 (60 enodes) 23.544 * * [simplify]: iters left: 4 (98 enodes) 23.561 * * [simplify]: iters left: 3 (157 enodes) 23.593 * * [simplify]: iters left: 2 (290 enodes) 23.693 * * [simplify]: Extracting #0: cost 1 inf + 0 23.693 * * [simplify]: Extracting #1: cost 30 inf + 0 23.693 * * [simplify]: Extracting #2: cost 72 inf + 0 23.693 * * [simplify]: Extracting #3: cost 138 inf + 2 23.694 * * [simplify]: Extracting #4: cost 143 inf + 890 23.697 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.703 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.712 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.720 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.729 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.729 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.729 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.729 * * [simplify]: iters left: 6 (14 enodes) 23.734 * * [simplify]: iters left: 5 (60 enodes) 23.744 * * [simplify]: iters left: 4 (98 enodes) 23.760 * * [simplify]: iters left: 3 (157 enodes) 23.818 * * [simplify]: iters left: 2 (290 enodes) 23.910 * * [simplify]: Extracting #0: cost 1 inf + 0 23.910 * * [simplify]: Extracting #1: cost 30 inf + 0 23.910 * * [simplify]: Extracting #2: cost 72 inf + 0 23.910 * * [simplify]: Extracting #3: cost 138 inf + 2 23.911 * * [simplify]: Extracting #4: cost 143 inf + 890 23.914 * * [simplify]: Extracting #5: cost 80 inf + 17431 23.920 * * [simplify]: Extracting #6: cost 8 inf + 47315 23.929 * * [simplify]: Extracting #7: cost 0 inf + 52144 23.937 * * [simplify]: Extracting #8: cost 0 inf + 51944 23.947 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.947 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.947 * * * * [progress]: [ 108 / 133 ] simplifiying candidate # 23.947 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 23.947 * * [simplify]: iters left: 6 (12 enodes) 23.954 * * [simplify]: iters left: 5 (52 enodes) 23.973 * * [simplify]: iters left: 4 (90 enodes) 24.010 * * [simplify]: iters left: 3 (151 enodes) 24.065 * * [simplify]: iters left: 2 (287 enodes) 24.185 * * [simplify]: Extracting #0: cost 1 inf + 0 24.185 * * [simplify]: Extracting #1: cost 31 inf + 0 24.185 * * [simplify]: Extracting #2: cost 99 inf + 2 24.186 * * [simplify]: Extracting #3: cost 141 inf + 219 24.187 * * [simplify]: Extracting #4: cost 139 inf + 807 24.188 * * [simplify]: Extracting #5: cost 85 inf + 6440 24.191 * * [simplify]: Extracting #6: cost 41 inf + 22533 24.198 * * [simplify]: Extracting #7: cost 3 inf + 47776 24.205 * * [simplify]: Extracting #8: cost 0 inf + 50387 24.216 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 24.216 * [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)))) 24.217 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.217 * * [simplify]: iters left: 6 (13 enodes) 24.225 * * [simplify]: iters left: 5 (57 enodes) 24.244 * * [simplify]: iters left: 4 (95 enodes) 24.280 * * [simplify]: iters left: 3 (154 enodes) 24.324 * * [simplify]: iters left: 2 (287 enodes) 24.384 * * [simplify]: Extracting #0: cost 1 inf + 0 24.384 * * [simplify]: Extracting #1: cost 30 inf + 0 24.384 * * [simplify]: Extracting #2: cost 73 inf + 0 24.385 * * [simplify]: Extracting #3: cost 136 inf + 3 24.385 * * [simplify]: Extracting #4: cost 130 inf + 1385 24.388 * * [simplify]: Extracting #5: cost 76 inf + 14535 24.394 * * [simplify]: Extracting #6: cost 5 inf + 50457 24.402 * * [simplify]: Extracting #7: cost 0 inf + 54374 24.417 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.417 * [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)))) 24.417 * * * * [progress]: [ 109 / 133 ] simplifiying candidate # 24.418 * * * * [progress]: [ 110 / 133 ] simplifiying candidate # 24.418 * * * * [progress]: [ 111 / 133 ] simplifiying candidate # 24.418 * * * * [progress]: [ 112 / 133 ] simplifiying candidate # 24.418 * [simplify]: Simplifying (cbrt (sqrt k)) 24.418 * * [simplify]: iters left: 2 (3 enodes) 24.419 * * [simplify]: iters left: 1 (9 enodes) 24.421 * * [simplify]: Extracting #0: cost 1 inf + 0 24.421 * * [simplify]: Extracting #1: cost 3 inf + 0 24.421 * * [simplify]: Extracting #2: cost 5 inf + 0 24.421 * * [simplify]: Extracting #3: cost 4 inf + 1 24.421 * * [simplify]: Extracting #4: cost 0 inf + 325 24.421 * [simplify]: Simplified to (cbrt (sqrt k)) 24.421 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 24.422 * * * * [progress]: [ 113 / 133 ] simplifiying candidate # 24.422 * [simplify]: Simplifying (sqrt (cbrt k)) 24.422 * * [simplify]: iters left: 2 (3 enodes) 24.422 * * [simplify]: iters left: 1 (9 enodes) 24.424 * * [simplify]: Extracting #0: cost 1 inf + 0 24.424 * * [simplify]: Extracting #1: cost 3 inf + 0 24.424 * * [simplify]: Extracting #2: cost 5 inf + 0 24.424 * * [simplify]: Extracting #3: cost 4 inf + 1 24.424 * * [simplify]: Extracting #4: cost 0 inf + 405 24.424 * [simplify]: Simplified to (sqrt (cbrt k)) 24.424 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 24.424 * * * * [progress]: [ 114 / 133 ] simplifiying candidate # 24.424 * [simplify]: Simplifying (sqrt (sqrt k)) 24.424 * * [simplify]: iters left: 2 (3 enodes) 24.425 * * [simplify]: iters left: 1 (9 enodes) 24.426 * * [simplify]: Extracting #0: cost 1 inf + 0 24.426 * * [simplify]: Extracting #1: cost 3 inf + 0 24.426 * * [simplify]: Extracting #2: cost 5 inf + 0 24.426 * * [simplify]: Extracting #3: cost 4 inf + 1 24.426 * * [simplify]: Extracting #4: cost 0 inf + 245 24.426 * [simplify]: Simplified to (sqrt (sqrt k)) 24.427 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.427 * * * * [progress]: [ 115 / 133 ] simplifiying candidate # 24.427 * [simplify]: Simplifying (sqrt k) 24.427 * * [simplify]: iters left: 1 (2 enodes) 24.427 * * [simplify]: Extracting #0: cost 1 inf + 0 24.427 * * [simplify]: Extracting #1: cost 3 inf + 0 24.427 * * [simplify]: Extracting #2: cost 2 inf + 1 24.427 * * [simplify]: Extracting #3: cost 0 inf + 83 24.427 * [simplify]: Simplified to (sqrt k) 24.427 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 24.427 * * * * [progress]: [ 116 / 133 ] simplifiying candidate # 24.428 * [simplify]: Simplifying (sqrt (sqrt k)) 24.428 * * [simplify]: iters left: 2 (3 enodes) 24.428 * * [simplify]: iters left: 1 (9 enodes) 24.429 * * [simplify]: Extracting #0: cost 1 inf + 0 24.429 * * [simplify]: Extracting #1: cost 3 inf + 0 24.429 * * [simplify]: Extracting #2: cost 5 inf + 0 24.430 * * [simplify]: Extracting #3: cost 4 inf + 1 24.430 * * [simplify]: Extracting #4: cost 0 inf + 245 24.430 * [simplify]: Simplified to (sqrt (sqrt k)) 24.430 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 24.430 * * * * [progress]: [ 117 / 133 ] simplifiying candidate # 24.430 * [simplify]: Simplifying (sqrt k) 24.430 * * [simplify]: iters left: 1 (2 enodes) 24.430 * * [simplify]: Extracting #0: cost 1 inf + 0 24.430 * * [simplify]: Extracting #1: cost 3 inf + 0 24.430 * * [simplify]: Extracting #2: cost 2 inf + 1 24.430 * * [simplify]: Extracting #3: cost 0 inf + 83 24.431 * [simplify]: Simplified to (sqrt k) 24.431 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 24.431 * * * * [progress]: [ 118 / 133 ] simplifiying candidate # 24.431 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 24.431 * * [simplify]: iters left: 5 (7 enodes) 24.434 * * [simplify]: iters left: 4 (32 enodes) 24.440 * * [simplify]: iters left: 3 (57 enodes) 24.453 * * [simplify]: iters left: 2 (88 enodes) 24.480 * * [simplify]: iters left: 1 (156 enodes) 24.532 * * [simplify]: Extracting #0: cost 1 inf + 0 24.532 * * [simplify]: Extracting #1: cost 13 inf + 0 24.532 * * [simplify]: Extracting #2: cost 49 inf + 2 24.532 * * [simplify]: Extracting #3: cost 80 inf + 6 24.533 * * [simplify]: Extracting #4: cost 58 inf + 1840 24.534 * * [simplify]: Extracting #5: cost 22 inf + 9206 24.537 * * [simplify]: Extracting #6: cost 1 inf + 20886 24.540 * * [simplify]: Extracting #7: cost 0 inf + 21301 24.543 * * [simplify]: Extracting #8: cost 0 inf + 21130 24.546 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 24.546 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 24.546 * * * * [progress]: [ 119 / 133 ] simplifiying candidate # 24.546 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 24.547 * * [simplify]: iters left: 6 (12 enodes) 24.550 * * [simplify]: iters left: 5 (51 enodes) 24.562 * * [simplify]: iters left: 4 (84 enodes) 24.583 * * [simplify]: iters left: 3 (125 enodes) 24.624 * * [simplify]: iters left: 2 (198 enodes) 24.685 * * [simplify]: iters left: 1 (353 enodes) 24.839 * * [simplify]: Extracting #0: cost 1 inf + 0 24.839 * * [simplify]: Extracting #1: cost 3 inf + 0 24.839 * * [simplify]: Extracting #2: cost 5 inf + 0 24.839 * * [simplify]: Extracting #3: cost 28 inf + 0 24.840 * * [simplify]: Extracting #4: cost 101 inf + 1 24.841 * * [simplify]: Extracting #5: cost 136 inf + 176 24.843 * * [simplify]: Extracting #6: cost 126 inf + 1348 24.847 * * [simplify]: Extracting #7: cost 70 inf + 12457 24.861 * * [simplify]: Extracting #8: cost 19 inf + 42176 24.879 * * [simplify]: Extracting #9: cost 0 inf + 57297 24.891 * * [simplify]: Extracting #10: cost 0 inf + 56855 24.901 * * [simplify]: Extracting #11: cost 0 inf + 56816 24.920 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 24.921 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 24.921 * * * * [progress]: [ 120 / 133 ] simplifiying candidate # 24.921 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 24.921 * * [simplify]: iters left: 6 (11 enodes) 24.927 * * [simplify]: iters left: 5 (48 enodes) 24.936 * * [simplify]: iters left: 4 (78 enodes) 24.950 * * [simplify]: iters left: 3 (120 enodes) 24.980 * * [simplify]: iters left: 2 (211 enodes) 25.038 * * [simplify]: iters left: 1 (380 enodes) 25.208 * * [simplify]: Extracting #0: cost 1 inf + 0 25.209 * * [simplify]: Extracting #1: cost 4 inf + 0 25.209 * * [simplify]: Extracting #2: cost 29 inf + 0 25.209 * * [simplify]: Extracting #3: cost 113 inf + 1 25.211 * * [simplify]: Extracting #4: cost 155 inf + 220 25.212 * * [simplify]: Extracting #5: cost 153 inf + 561 25.215 * * [simplify]: Extracting #6: cost 121 inf + 2833 25.225 * * [simplify]: Extracting #7: cost 68 inf + 14038 25.240 * * [simplify]: Extracting #8: cost 15 inf + 50044 25.262 * * [simplify]: Extracting #9: cost 0 inf + 59395 25.282 * * [simplify]: Extracting #10: cost 0 inf + 59194 25.302 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 25.303 * [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)))))) 25.303 * * * * [progress]: [ 121 / 133 ] simplifiying candidate # 25.303 * * * * [progress]: [ 122 / 133 ] simplifiying candidate # 25.303 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 25.303 * * [simplify]: iters left: 6 (11 enodes) 25.311 * * [simplify]: iters left: 5 (51 enodes) 25.329 * * [simplify]: iters left: 4 (87 enodes) 25.359 * * [simplify]: iters left: 3 (143 enodes) 25.414 * * [simplify]: iters left: 2 (259 enodes) 25.514 * * [simplify]: iters left: 1 (469 enodes) 26.144 * * [simplify]: Extracting #0: cost 1 inf + 0 26.144 * * [simplify]: Extracting #1: cost 24 inf + 0 26.145 * * [simplify]: Extracting #2: cost 110 inf + 1 26.146 * * [simplify]: Extracting #3: cost 192 inf + 178 26.149 * * [simplify]: Extracting #4: cost 178 inf + 1845 26.155 * * [simplify]: Extracting #5: cost 89 inf + 12477 26.166 * * [simplify]: Extracting #6: cost 41 inf + 28219 26.175 * * [simplify]: Extracting #7: cost 4 inf + 58625 26.186 * * [simplify]: Extracting #8: cost 0 inf + 62670 26.196 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.196 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 26.196 * * * * [progress]: [ 123 / 133 ] simplifiying candidate # 26.197 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.197 * * [simplify]: iters left: 5 (8 enodes) 26.200 * * [simplify]: iters left: 4 (35 enodes) 26.213 * * [simplify]: iters left: 3 (63 enodes) 26.226 * * [simplify]: iters left: 2 (108 enodes) 26.243 * * [simplify]: iters left: 1 (162 enodes) 26.270 * * [simplify]: Extracting #0: cost 1 inf + 0 26.270 * * [simplify]: Extracting #1: cost 12 inf + 0 26.271 * * [simplify]: Extracting #2: cost 40 inf + 2 26.271 * * [simplify]: Extracting #3: cost 40 inf + 9 26.271 * * [simplify]: Extracting #4: cost 25 inf + 2233 26.272 * * [simplify]: Extracting #5: cost 10 inf + 8991 26.274 * * [simplify]: Extracting #6: cost 0 inf + 14572 26.275 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 26.275 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 26.275 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 26.275 * * * * [progress]: [ 125 / 133 ] simplifiying candidate # 26.276 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 26.276 * * [simplify]: iters left: 6 (37 enodes) 26.290 * * [simplify]: iters left: 5 (190 enodes) 26.361 * * [simplify]: Extracting #0: cost 1 inf + 0 26.361 * * [simplify]: Extracting #1: cost 22 inf + 0 26.361 * * [simplify]: Extracting #2: cost 108 inf + 1 26.362 * * [simplify]: Extracting #3: cost 171 inf + 46 26.362 * * [simplify]: Extracting #4: cost 189 inf + 427 26.365 * * [simplify]: Extracting #5: cost 128 inf + 16032 26.373 * * [simplify]: Extracting #6: cost 29 inf + 57153 26.387 * * [simplify]: Extracting #7: cost 4 inf + 75884 26.406 * * [simplify]: Extracting #8: cost 0 inf + 78767 26.422 * [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))) 26.422 * [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))) 26.423 * * * * [progress]: [ 126 / 133 ] simplifiying candidate # 26.423 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 26.423 * * [simplify]: iters left: 6 (15 enodes) 26.429 * * [simplify]: iters left: 5 (65 enodes) 26.449 * * [simplify]: iters left: 4 (123 enodes) 26.476 * * [simplify]: iters left: 3 (367 enodes) 26.619 * * [simplify]: Extracting #0: cost 1 inf + 0 26.619 * * [simplify]: Extracting #1: cost 37 inf + 0 26.620 * * [simplify]: Extracting #2: cost 216 inf + 72 26.621 * * [simplify]: Extracting #3: cost 356 inf + 1622 26.631 * * [simplify]: Extracting #4: cost 219 inf + 28945 26.662 * * [simplify]: Extracting #5: cost 21 inf + 83197 26.694 * * [simplify]: Extracting #6: cost 0 inf + 89881 26.726 * * [simplify]: Extracting #7: cost 0 inf + 89729 26.759 * * [simplify]: Extracting #8: cost 0 inf + 89726 26.793 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 26.793 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 26.793 * * * * [progress]: [ 127 / 133 ] simplifiying candidate # 26.793 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 26.793 * * [simplify]: iters left: 6 (16 enodes) 26.803 * * [simplify]: iters left: 5 (67 enodes) 26.827 * * [simplify]: iters left: 4 (134 enodes) 26.889 * * [simplify]: iters left: 3 (413 enodes) 27.088 * * [simplify]: Extracting #0: cost 1 inf + 0 27.088 * * [simplify]: Extracting #1: cost 39 inf + 0 27.089 * * [simplify]: Extracting #2: cost 241 inf + 72 27.090 * * [simplify]: Extracting #3: cost 450 inf + 903 27.093 * * [simplify]: Extracting #4: cost 376 inf + 10375 27.103 * * [simplify]: Extracting #5: cost 158 inf + 67083 27.130 * * [simplify]: Extracting #6: cost 12 inf + 118840 27.156 * * [simplify]: Extracting #7: cost 0 inf + 121984 27.187 * * [simplify]: Extracting #8: cost 0 inf + 121983 27.209 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 27.209 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 27.209 * * * * [progress]: [ 128 / 133 ] simplifiying candidate # 27.210 * [simplify]: Simplifying (* 2 (* n PI)) 27.210 * * [simplify]: iters left: 4 (5 enodes) 27.211 * * [simplify]: iters left: 3 (19 enodes) 27.216 * * [simplify]: iters left: 2 (27 enodes) 27.224 * * [simplify]: iters left: 1 (32 enodes) 27.232 * * [simplify]: Extracting #0: cost 1 inf + 0 27.232 * * [simplify]: Extracting #1: cost 8 inf + 0 27.232 * * [simplify]: Extracting #2: cost 7 inf + 45 27.232 * * [simplify]: Extracting #3: cost 0 inf + 421 27.232 * [simplify]: Simplified to (* (* PI n) 2) 27.232 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.233 * * * * [progress]: [ 129 / 133 ] simplifiying candidate # 27.233 * [simplify]: Simplifying (* 2 (* n PI)) 27.233 * * [simplify]: iters left: 4 (5 enodes) 27.236 * * [simplify]: iters left: 3 (19 enodes) 27.242 * * [simplify]: iters left: 2 (27 enodes) 27.250 * * [simplify]: iters left: 1 (32 enodes) 27.258 * * [simplify]: Extracting #0: cost 1 inf + 0 27.258 * * [simplify]: Extracting #1: cost 8 inf + 0 27.258 * * [simplify]: Extracting #2: cost 7 inf + 45 27.259 * * [simplify]: Extracting #3: cost 0 inf + 421 27.259 * [simplify]: Simplified to (* (* PI n) 2) 27.259 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.259 * * * * [progress]: [ 130 / 133 ] simplifiying candidate # 27.259 * [simplify]: Simplifying (* 2 (* n PI)) 27.260 * * [simplify]: iters left: 4 (5 enodes) 27.264 * * [simplify]: iters left: 3 (19 enodes) 27.270 * * [simplify]: iters left: 2 (27 enodes) 27.278 * * [simplify]: iters left: 1 (32 enodes) 27.286 * * [simplify]: Extracting #0: cost 1 inf + 0 27.287 * * [simplify]: Extracting #1: cost 8 inf + 0 27.287 * * [simplify]: Extracting #2: cost 7 inf + 45 27.287 * * [simplify]: Extracting #3: cost 0 inf + 421 27.287 * [simplify]: Simplified to (* (* PI n) 2) 27.287 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 27.287 * * * * [progress]: [ 131 / 133 ] simplifiying candidate # 27.288 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 27.288 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.288 * * * * [progress]: [ 132 / 133 ] simplifiying candidate # 27.289 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 27.289 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.289 * * * * [progress]: [ 133 / 133 ] simplifiying candidate # 27.289 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 27.289 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 27.290 * * * [progress]: adding candidates to table 28.646 * * [progress]: iteration 2 / 4 28.646 * * * [progress]: picking best candidate 28.688 * * * * [pick]: Picked # 28.688 * * * [progress]: localizing error 28.720 * * * [progress]: generating rewritten candidates 28.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 28.746 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 28.750 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 28.763 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 28.804 * * * [progress]: generating series expansions 28.804 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 28.805 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 28.805 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 28.805 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 28.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 28.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 28.805 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 28.805 * [taylor]: Taking taylor expansion of 1/2 in k 28.805 * [backup-simplify]: Simplify 1/2 into 1/2 28.805 * [taylor]: Taking taylor expansion of (- 1 k) in k 28.805 * [taylor]: Taking taylor expansion of 1 in k 28.805 * [backup-simplify]: Simplify 1 into 1 28.805 * [taylor]: Taking taylor expansion of k in k 28.805 * [backup-simplify]: Simplify 0 into 0 28.805 * [backup-simplify]: Simplify 1 into 1 28.805 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 28.805 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 28.805 * [taylor]: Taking taylor expansion of 2 in k 28.805 * [backup-simplify]: Simplify 2 into 2 28.805 * [taylor]: Taking taylor expansion of (* n PI) in k 28.805 * [taylor]: Taking taylor expansion of n in k 28.805 * [backup-simplify]: Simplify n into n 28.805 * [taylor]: Taking taylor expansion of PI in k 28.805 * [backup-simplify]: Simplify PI into PI 28.806 * [backup-simplify]: Simplify (* n PI) into (* n PI) 28.806 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 28.806 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 28.806 * [backup-simplify]: Simplify (- 0) into 0 28.806 * [backup-simplify]: Simplify (+ 1 0) into 1 28.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.807 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 28.807 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 28.807 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 28.807 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 28.807 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 28.807 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 28.807 * [taylor]: Taking taylor expansion of 1/2 in n 28.807 * [backup-simplify]: Simplify 1/2 into 1/2 28.807 * [taylor]: Taking taylor expansion of (- 1 k) in n 28.807 * [taylor]: Taking taylor expansion of 1 in n 28.807 * [backup-simplify]: Simplify 1 into 1 28.807 * [taylor]: Taking taylor expansion of k in n 28.807 * [backup-simplify]: Simplify k into k 28.807 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.807 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.807 * [taylor]: Taking taylor expansion of 2 in n 28.807 * [backup-simplify]: Simplify 2 into 2 28.807 * [taylor]: Taking taylor expansion of (* n PI) in n 28.807 * [taylor]: Taking taylor expansion of n in n 28.807 * [backup-simplify]: Simplify 0 into 0 28.807 * [backup-simplify]: Simplify 1 into 1 28.807 * [taylor]: Taking taylor expansion of PI in n 28.807 * [backup-simplify]: Simplify PI into PI 28.807 * [backup-simplify]: Simplify (* 0 PI) into 0 28.808 * [backup-simplify]: Simplify (* 2 0) into 0 28.809 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.809 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.810 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.810 * [backup-simplify]: Simplify (- k) into (- k) 28.810 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 28.810 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 28.811 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.812 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 28.812 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 28.812 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 28.812 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 28.812 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 28.812 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 28.812 * [taylor]: Taking taylor expansion of 1/2 in n 28.812 * [backup-simplify]: Simplify 1/2 into 1/2 28.812 * [taylor]: Taking taylor expansion of (- 1 k) in n 28.812 * [taylor]: Taking taylor expansion of 1 in n 28.812 * [backup-simplify]: Simplify 1 into 1 28.812 * [taylor]: Taking taylor expansion of k in n 28.812 * [backup-simplify]: Simplify k into k 28.812 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 28.813 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 28.813 * [taylor]: Taking taylor expansion of 2 in n 28.813 * [backup-simplify]: Simplify 2 into 2 28.813 * [taylor]: Taking taylor expansion of (* n PI) in n 28.813 * [taylor]: Taking taylor expansion of n in n 28.813 * [backup-simplify]: Simplify 0 into 0 28.813 * [backup-simplify]: Simplify 1 into 1 28.813 * [taylor]: Taking taylor expansion of PI in n 28.813 * [backup-simplify]: Simplify PI into PI 28.813 * [backup-simplify]: Simplify (* 0 PI) into 0 28.813 * [backup-simplify]: Simplify (* 2 0) into 0 28.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 28.818 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 28.819 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.819 * [backup-simplify]: Simplify (- k) into (- k) 28.819 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 28.819 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 28.820 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.821 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 28.822 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 28.822 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 28.822 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 28.822 * [taylor]: Taking taylor expansion of 1/2 in k 28.822 * [backup-simplify]: Simplify 1/2 into 1/2 28.822 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 28.822 * [taylor]: Taking taylor expansion of (- 1 k) in k 28.822 * [taylor]: Taking taylor expansion of 1 in k 28.822 * [backup-simplify]: Simplify 1 into 1 28.822 * [taylor]: Taking taylor expansion of k in k 28.822 * [backup-simplify]: Simplify 0 into 0 28.822 * [backup-simplify]: Simplify 1 into 1 28.822 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 28.822 * [taylor]: Taking taylor expansion of (log n) in k 28.822 * [taylor]: Taking taylor expansion of n in k 28.822 * [backup-simplify]: Simplify n into n 28.822 * [backup-simplify]: Simplify (log n) into (log n) 28.822 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.822 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.822 * [taylor]: Taking taylor expansion of 2 in k 28.822 * [backup-simplify]: Simplify 2 into 2 28.822 * [taylor]: Taking taylor expansion of PI in k 28.822 * [backup-simplify]: Simplify PI into PI 28.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.823 * [backup-simplify]: Simplify (- 0) into 0 28.823 * [backup-simplify]: Simplify (+ 1 0) into 1 28.824 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.825 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 28.825 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 28.826 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 28.826 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 28.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 28.828 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 28.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.829 * [backup-simplify]: Simplify (- 0) into 0 28.829 * [backup-simplify]: Simplify (+ 0 0) into 0 28.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 28.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.831 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 28.832 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.832 * [taylor]: Taking taylor expansion of 0 in k 28.832 * [backup-simplify]: Simplify 0 into 0 28.832 * [backup-simplify]: Simplify 0 into 0 28.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 28.833 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.834 * [backup-simplify]: Simplify (+ 0 0) into 0 28.834 * [backup-simplify]: Simplify (- 1) into -1 28.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 28.835 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 28.836 * [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))))) 28.839 * [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))))))) 28.842 * [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))))))) 28.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 28.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 28.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 28.848 * [backup-simplify]: Simplify (- 0) into 0 28.848 * [backup-simplify]: Simplify (+ 0 0) into 0 28.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 28.850 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 28.851 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 28.852 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.852 * [taylor]: Taking taylor expansion of 0 in k 28.852 * [backup-simplify]: Simplify 0 into 0 28.852 * [backup-simplify]: Simplify 0 into 0 28.852 * [backup-simplify]: Simplify 0 into 0 28.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 28.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.855 * [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 28.856 * [backup-simplify]: Simplify (+ 0 0) into 0 28.856 * [backup-simplify]: Simplify (- 0) into 0 28.856 * [backup-simplify]: Simplify (+ 0 0) into 0 28.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 28.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 28.861 * [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))))) 28.863 * [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))))) 28.868 * [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))))) 28.869 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 28.869 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 28.869 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 28.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 28.869 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 28.869 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 28.869 * [taylor]: Taking taylor expansion of 1/2 in k 28.869 * [backup-simplify]: Simplify 1/2 into 1/2 28.869 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 28.869 * [taylor]: Taking taylor expansion of 1 in k 28.869 * [backup-simplify]: Simplify 1 into 1 28.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.869 * [taylor]: Taking taylor expansion of k in k 28.869 * [backup-simplify]: Simplify 0 into 0 28.869 * [backup-simplify]: Simplify 1 into 1 28.869 * [backup-simplify]: Simplify (/ 1 1) into 1 28.869 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 28.869 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 28.869 * [taylor]: Taking taylor expansion of 2 in k 28.869 * [backup-simplify]: Simplify 2 into 2 28.870 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.870 * [taylor]: Taking taylor expansion of PI in k 28.870 * [backup-simplify]: Simplify PI into PI 28.870 * [taylor]: Taking taylor expansion of n in k 28.870 * [backup-simplify]: Simplify n into n 28.870 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.870 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 28.870 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 28.870 * [backup-simplify]: Simplify (- 1) into -1 28.870 * [backup-simplify]: Simplify (+ 0 -1) into -1 28.870 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 28.871 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 28.871 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 28.871 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 28.871 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 28.871 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 28.871 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 28.871 * [taylor]: Taking taylor expansion of 1/2 in n 28.871 * [backup-simplify]: Simplify 1/2 into 1/2 28.871 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 28.871 * [taylor]: Taking taylor expansion of 1 in n 28.871 * [backup-simplify]: Simplify 1 into 1 28.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.871 * [taylor]: Taking taylor expansion of k in n 28.871 * [backup-simplify]: Simplify k into k 28.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.871 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.871 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.871 * [taylor]: Taking taylor expansion of 2 in n 28.871 * [backup-simplify]: Simplify 2 into 2 28.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.871 * [taylor]: Taking taylor expansion of PI in n 28.871 * [backup-simplify]: Simplify PI into PI 28.871 * [taylor]: Taking taylor expansion of n in n 28.871 * [backup-simplify]: Simplify 0 into 0 28.871 * [backup-simplify]: Simplify 1 into 1 28.871 * [backup-simplify]: Simplify (/ PI 1) into PI 28.872 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.872 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.872 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 28.872 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 28.873 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 28.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.874 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 28.875 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 28.875 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 28.875 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 28.875 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 28.875 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 28.875 * [taylor]: Taking taylor expansion of 1/2 in n 28.875 * [backup-simplify]: Simplify 1/2 into 1/2 28.875 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 28.875 * [taylor]: Taking taylor expansion of 1 in n 28.875 * [backup-simplify]: Simplify 1 into 1 28.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.875 * [taylor]: Taking taylor expansion of k in n 28.875 * [backup-simplify]: Simplify k into k 28.875 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.875 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 28.875 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 28.875 * [taylor]: Taking taylor expansion of 2 in n 28.875 * [backup-simplify]: Simplify 2 into 2 28.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.875 * [taylor]: Taking taylor expansion of PI in n 28.875 * [backup-simplify]: Simplify PI into PI 28.875 * [taylor]: Taking taylor expansion of n in n 28.875 * [backup-simplify]: Simplify 0 into 0 28.875 * [backup-simplify]: Simplify 1 into 1 28.875 * [backup-simplify]: Simplify (/ PI 1) into PI 28.876 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.876 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.876 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 28.876 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 28.876 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 28.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.878 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 28.878 * [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))))) 28.878 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 28.879 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 28.879 * [taylor]: Taking taylor expansion of 1/2 in k 28.879 * [backup-simplify]: Simplify 1/2 into 1/2 28.879 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 28.879 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 28.879 * [taylor]: Taking taylor expansion of 1 in k 28.879 * [backup-simplify]: Simplify 1 into 1 28.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.879 * [taylor]: Taking taylor expansion of k in k 28.879 * [backup-simplify]: Simplify 0 into 0 28.879 * [backup-simplify]: Simplify 1 into 1 28.879 * [backup-simplify]: Simplify (/ 1 1) into 1 28.879 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 28.879 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 28.879 * [taylor]: Taking taylor expansion of (* 2 PI) in k 28.879 * [taylor]: Taking taylor expansion of 2 in k 28.879 * [backup-simplify]: Simplify 2 into 2 28.879 * [taylor]: Taking taylor expansion of PI in k 28.879 * [backup-simplify]: Simplify PI into PI 28.879 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 28.880 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 28.880 * [taylor]: Taking taylor expansion of (log n) in k 28.880 * [taylor]: Taking taylor expansion of n in k 28.880 * [backup-simplify]: Simplify n into n 28.880 * [backup-simplify]: Simplify (log n) into (log n) 28.880 * [backup-simplify]: Simplify (- 1) into -1 28.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 28.880 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.881 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 28.882 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 28.883 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 28.884 * [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))))) 28.886 * [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))))) 28.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.887 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 28.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 28.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.890 * [backup-simplify]: Simplify (- 0) into 0 28.890 * [backup-simplify]: Simplify (+ 0 0) into 0 28.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 28.892 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.893 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 28.895 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.895 * [taylor]: Taking taylor expansion of 0 in k 28.895 * [backup-simplify]: Simplify 0 into 0 28.896 * [backup-simplify]: Simplify 0 into 0 28.896 * [backup-simplify]: Simplify 0 into 0 28.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 28.901 * [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 28.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.901 * [backup-simplify]: Simplify (- 0) into 0 28.902 * [backup-simplify]: Simplify (+ 0 0) into 0 28.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 28.904 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.906 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 28.908 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.908 * [taylor]: Taking taylor expansion of 0 in k 28.908 * [backup-simplify]: Simplify 0 into 0 28.908 * [backup-simplify]: Simplify 0 into 0 28.909 * [backup-simplify]: Simplify 0 into 0 28.909 * [backup-simplify]: Simplify 0 into 0 28.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.916 * [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 28.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.917 * [backup-simplify]: Simplify (- 0) into 0 28.918 * [backup-simplify]: Simplify (+ 0 0) into 0 28.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 28.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 28.929 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 28.932 * [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 28.932 * [taylor]: Taking taylor expansion of 0 in k 28.932 * [backup-simplify]: Simplify 0 into 0 28.932 * [backup-simplify]: Simplify 0 into 0 28.933 * [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)))))) 28.934 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 28.934 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 28.934 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 28.934 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 28.934 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 28.934 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 28.934 * [taylor]: Taking taylor expansion of 1/2 in k 28.934 * [backup-simplify]: Simplify 1/2 into 1/2 28.934 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 28.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.934 * [taylor]: Taking taylor expansion of k in k 28.934 * [backup-simplify]: Simplify 0 into 0 28.934 * [backup-simplify]: Simplify 1 into 1 28.935 * [backup-simplify]: Simplify (/ 1 1) into 1 28.935 * [taylor]: Taking taylor expansion of 1 in k 28.935 * [backup-simplify]: Simplify 1 into 1 28.935 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 28.935 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 28.935 * [taylor]: Taking taylor expansion of -2 in k 28.935 * [backup-simplify]: Simplify -2 into -2 28.935 * [taylor]: Taking taylor expansion of (/ PI n) in k 28.935 * [taylor]: Taking taylor expansion of PI in k 28.935 * [backup-simplify]: Simplify PI into PI 28.935 * [taylor]: Taking taylor expansion of n in k 28.935 * [backup-simplify]: Simplify n into n 28.935 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 28.935 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 28.935 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 28.936 * [backup-simplify]: Simplify (+ 1 0) into 1 28.936 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.936 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 28.937 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 28.937 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 28.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 28.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 28.937 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 28.937 * [taylor]: Taking taylor expansion of 1/2 in n 28.937 * [backup-simplify]: Simplify 1/2 into 1/2 28.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 28.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.937 * [taylor]: Taking taylor expansion of k in n 28.937 * [backup-simplify]: Simplify k into k 28.937 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.937 * [taylor]: Taking taylor expansion of 1 in n 28.937 * [backup-simplify]: Simplify 1 into 1 28.937 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.937 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.937 * [taylor]: Taking taylor expansion of -2 in n 28.937 * [backup-simplify]: Simplify -2 into -2 28.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.937 * [taylor]: Taking taylor expansion of PI in n 28.937 * [backup-simplify]: Simplify PI into PI 28.937 * [taylor]: Taking taylor expansion of n in n 28.937 * [backup-simplify]: Simplify 0 into 0 28.937 * [backup-simplify]: Simplify 1 into 1 28.937 * [backup-simplify]: Simplify (/ PI 1) into PI 28.938 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.938 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.939 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 28.939 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 28.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.940 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 28.941 * [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))))) 28.941 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 28.941 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 28.941 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 28.941 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 28.941 * [taylor]: Taking taylor expansion of 1/2 in n 28.941 * [backup-simplify]: Simplify 1/2 into 1/2 28.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 28.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n 28.941 * [taylor]: Taking taylor expansion of k in n 28.941 * [backup-simplify]: Simplify k into k 28.941 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 28.941 * [taylor]: Taking taylor expansion of 1 in n 28.941 * [backup-simplify]: Simplify 1 into 1 28.941 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 28.941 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 28.941 * [taylor]: Taking taylor expansion of -2 in n 28.941 * [backup-simplify]: Simplify -2 into -2 28.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 28.941 * [taylor]: Taking taylor expansion of PI in n 28.941 * [backup-simplify]: Simplify PI into PI 28.941 * [taylor]: Taking taylor expansion of n in n 28.941 * [backup-simplify]: Simplify 0 into 0 28.941 * [backup-simplify]: Simplify 1 into 1 28.941 * [backup-simplify]: Simplify (/ PI 1) into PI 28.942 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.942 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.942 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 28.942 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 28.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.944 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 28.945 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 28.945 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 28.945 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 28.945 * [taylor]: Taking taylor expansion of 1/2 in k 28.945 * [backup-simplify]: Simplify 1/2 into 1/2 28.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 28.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 28.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.945 * [taylor]: Taking taylor expansion of k in k 28.945 * [backup-simplify]: Simplify 0 into 0 28.945 * [backup-simplify]: Simplify 1 into 1 28.945 * [backup-simplify]: Simplify (/ 1 1) into 1 28.945 * [taylor]: Taking taylor expansion of 1 in k 28.945 * [backup-simplify]: Simplify 1 into 1 28.945 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 28.945 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 28.945 * [taylor]: Taking taylor expansion of (* -2 PI) in k 28.945 * [taylor]: Taking taylor expansion of -2 in k 28.945 * [backup-simplify]: Simplify -2 into -2 28.945 * [taylor]: Taking taylor expansion of PI in k 28.945 * [backup-simplify]: Simplify PI into PI 28.945 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 28.946 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 28.946 * [taylor]: Taking taylor expansion of (log n) in k 28.946 * [taylor]: Taking taylor expansion of n in k 28.946 * [backup-simplify]: Simplify n into n 28.946 * [backup-simplify]: Simplify (log n) into (log n) 28.946 * [backup-simplify]: Simplify (+ 1 0) into 1 28.946 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 28.947 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 28.948 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 28.948 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 28.949 * [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))))) 28.950 * [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))))) 28.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 28.951 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 28.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 28.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 28.952 * [backup-simplify]: Simplify (+ 0 0) into 0 28.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 28.953 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 28.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 28.955 * [taylor]: Taking taylor expansion of 0 in k 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify 0 into 0 28.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.956 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 28.958 * [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 28.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.958 * [backup-simplify]: Simplify (+ 0 0) into 0 28.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 28.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.960 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 28.962 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 28.962 * [taylor]: Taking taylor expansion of 0 in k 28.962 * [backup-simplify]: Simplify 0 into 0 28.962 * [backup-simplify]: Simplify 0 into 0 28.962 * [backup-simplify]: Simplify 0 into 0 28.962 * [backup-simplify]: Simplify 0 into 0 28.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.963 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 28.966 * [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 28.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 28.967 * [backup-simplify]: Simplify (+ 0 0) into 0 28.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 28.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 28.969 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 28.971 * [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 28.971 * [taylor]: Taking taylor expansion of 0 in k 28.971 * [backup-simplify]: Simplify 0 into 0 28.971 * [backup-simplify]: Simplify 0 into 0 28.972 * [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)))))) 28.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 28.972 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 28.972 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 28.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.972 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.972 * [taylor]: Taking taylor expansion of k in k 28.972 * [backup-simplify]: Simplify 0 into 0 28.972 * [backup-simplify]: Simplify 1 into 1 28.972 * [backup-simplify]: Simplify (/ 1 1) into 1 28.973 * [backup-simplify]: Simplify (sqrt 0) into 0 28.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 28.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 28.974 * [taylor]: Taking taylor expansion of k in k 28.974 * [backup-simplify]: Simplify 0 into 0 28.974 * [backup-simplify]: Simplify 1 into 1 28.974 * [backup-simplify]: Simplify (/ 1 1) into 1 28.974 * [backup-simplify]: Simplify (sqrt 0) into 0 28.975 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.975 * [backup-simplify]: Simplify 0 into 0 28.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.980 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.980 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 28.980 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 28.980 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 28.980 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.980 * [taylor]: Taking taylor expansion of k in k 28.981 * [backup-simplify]: Simplify 0 into 0 28.981 * [backup-simplify]: Simplify 1 into 1 28.981 * [backup-simplify]: Simplify (sqrt 0) into 0 28.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.982 * [taylor]: Taking taylor expansion of (sqrt k) in k 28.982 * [taylor]: Taking taylor expansion of k in k 28.982 * [backup-simplify]: Simplify 0 into 0 28.982 * [backup-simplify]: Simplify 1 into 1 28.982 * [backup-simplify]: Simplify (sqrt 0) into 0 28.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 28.983 * [backup-simplify]: Simplify 0 into 0 28.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 28.986 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 28.990 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.991 * [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)))))))) 28.991 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 28.991 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 28.991 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 28.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.991 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.991 * [taylor]: Taking taylor expansion of -1 in k 28.991 * [backup-simplify]: Simplify -1 into -1 28.991 * [taylor]: Taking taylor expansion of k in k 28.991 * [backup-simplify]: Simplify 0 into 0 28.991 * [backup-simplify]: Simplify 1 into 1 28.992 * [backup-simplify]: Simplify (/ -1 1) into -1 28.992 * [backup-simplify]: Simplify (sqrt 0) into 0 28.994 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.994 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 28.994 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 28.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 28.994 * [taylor]: Taking taylor expansion of (/ -1 k) in k 28.994 * [taylor]: Taking taylor expansion of -1 in k 28.994 * [backup-simplify]: Simplify -1 into -1 28.994 * [taylor]: Taking taylor expansion of k in k 28.994 * [backup-simplify]: Simplify 0 into 0 28.994 * [backup-simplify]: Simplify 1 into 1 28.995 * [backup-simplify]: Simplify (/ -1 1) into -1 28.995 * [backup-simplify]: Simplify (sqrt 0) into 0 28.996 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 28.997 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 28.997 * [backup-simplify]: Simplify +nan.0 into +nan.0 28.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.001 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.003 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 29.003 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.012 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 29.012 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 29.013 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 29.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 29.014 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 29.014 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 29.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.014 * [taylor]: Taking taylor expansion of 2 in n 29.014 * [backup-simplify]: Simplify 2 into 2 29.014 * [taylor]: Taking taylor expansion of (* n PI) in n 29.014 * [taylor]: Taking taylor expansion of n in n 29.014 * [backup-simplify]: Simplify 0 into 0 29.014 * [backup-simplify]: Simplify 1 into 1 29.014 * [taylor]: Taking taylor expansion of PI in n 29.014 * [backup-simplify]: Simplify PI into PI 29.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.014 * [taylor]: Taking taylor expansion of 2 in n 29.014 * [backup-simplify]: Simplify 2 into 2 29.014 * [taylor]: Taking taylor expansion of (* n PI) in n 29.014 * [taylor]: Taking taylor expansion of n in n 29.014 * [backup-simplify]: Simplify 0 into 0 29.014 * [backup-simplify]: Simplify 1 into 1 29.014 * [taylor]: Taking taylor expansion of PI in n 29.014 * [backup-simplify]: Simplify PI into PI 29.015 * [backup-simplify]: Simplify (* 0 PI) into 0 29.015 * [backup-simplify]: Simplify (* 2 0) into 0 29.015 * [backup-simplify]: Simplify 0 into 0 29.017 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.018 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.019 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.021 * [backup-simplify]: Simplify 0 into 0 29.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.023 * [backup-simplify]: Simplify 0 into 0 29.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.026 * [backup-simplify]: Simplify 0 into 0 29.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 29.028 * [backup-simplify]: Simplify 0 into 0 29.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 29.032 * [backup-simplify]: Simplify 0 into 0 29.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 29.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 29.036 * [backup-simplify]: Simplify 0 into 0 29.043 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 29.044 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 29.044 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 29.044 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.044 * [taylor]: Taking taylor expansion of 2 in n 29.044 * [backup-simplify]: Simplify 2 into 2 29.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.044 * [taylor]: Taking taylor expansion of PI in n 29.044 * [backup-simplify]: Simplify PI into PI 29.044 * [taylor]: Taking taylor expansion of n in n 29.044 * [backup-simplify]: Simplify 0 into 0 29.044 * [backup-simplify]: Simplify 1 into 1 29.045 * [backup-simplify]: Simplify (/ PI 1) into PI 29.045 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.045 * [taylor]: Taking taylor expansion of 2 in n 29.045 * [backup-simplify]: Simplify 2 into 2 29.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.045 * [taylor]: Taking taylor expansion of PI in n 29.045 * [backup-simplify]: Simplify PI into PI 29.045 * [taylor]: Taking taylor expansion of n in n 29.045 * [backup-simplify]: Simplify 0 into 0 29.045 * [backup-simplify]: Simplify 1 into 1 29.045 * [backup-simplify]: Simplify (/ PI 1) into PI 29.046 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.046 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.048 * [backup-simplify]: Simplify 0 into 0 29.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.051 * [backup-simplify]: Simplify 0 into 0 29.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.053 * [backup-simplify]: Simplify 0 into 0 29.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.056 * [backup-simplify]: Simplify 0 into 0 29.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.058 * [backup-simplify]: Simplify 0 into 0 29.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.059 * [backup-simplify]: Simplify 0 into 0 29.060 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 29.060 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 29.060 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 29.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.060 * [taylor]: Taking taylor expansion of -2 in n 29.060 * [backup-simplify]: Simplify -2 into -2 29.060 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.060 * [taylor]: Taking taylor expansion of PI in n 29.060 * [backup-simplify]: Simplify PI into PI 29.060 * [taylor]: Taking taylor expansion of n in n 29.060 * [backup-simplify]: Simplify 0 into 0 29.060 * [backup-simplify]: Simplify 1 into 1 29.060 * [backup-simplify]: Simplify (/ PI 1) into PI 29.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.060 * [taylor]: Taking taylor expansion of -2 in n 29.060 * [backup-simplify]: Simplify -2 into -2 29.060 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.060 * [taylor]: Taking taylor expansion of PI in n 29.060 * [backup-simplify]: Simplify PI into PI 29.060 * [taylor]: Taking taylor expansion of n in n 29.060 * [backup-simplify]: Simplify 0 into 0 29.060 * [backup-simplify]: Simplify 1 into 1 29.061 * [backup-simplify]: Simplify (/ PI 1) into PI 29.061 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.061 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.062 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.062 * [backup-simplify]: Simplify 0 into 0 29.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.064 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.064 * [backup-simplify]: Simplify 0 into 0 29.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.065 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.065 * [backup-simplify]: Simplify 0 into 0 29.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.066 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.066 * [backup-simplify]: Simplify 0 into 0 29.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.067 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 29.068 * [backup-simplify]: Simplify 0 into 0 29.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.069 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 29.069 * [backup-simplify]: Simplify 0 into 0 29.069 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 29.069 * * * * [progress]: [ 4 / 4 ] generating series at (2) 29.070 * [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))) 29.070 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 29.070 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 29.070 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 29.070 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 29.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 29.070 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 29.070 * [taylor]: Taking taylor expansion of 1/2 in k 29.070 * [backup-simplify]: Simplify 1/2 into 1/2 29.070 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.070 * [taylor]: Taking taylor expansion of 1 in k 29.070 * [backup-simplify]: Simplify 1 into 1 29.070 * [taylor]: Taking taylor expansion of k in k 29.070 * [backup-simplify]: Simplify 0 into 0 29.070 * [backup-simplify]: Simplify 1 into 1 29.070 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 29.070 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 29.070 * [taylor]: Taking taylor expansion of 2 in k 29.070 * [backup-simplify]: Simplify 2 into 2 29.070 * [taylor]: Taking taylor expansion of (* n PI) in k 29.070 * [taylor]: Taking taylor expansion of n in k 29.070 * [backup-simplify]: Simplify n into n 29.070 * [taylor]: Taking taylor expansion of PI in k 29.070 * [backup-simplify]: Simplify PI into PI 29.070 * [backup-simplify]: Simplify (* n PI) into (* n PI) 29.070 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 29.070 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 29.071 * [backup-simplify]: Simplify (- 0) into 0 29.071 * [backup-simplify]: Simplify (+ 1 0) into 1 29.071 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.071 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 29.071 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 29.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.071 * [taylor]: Taking taylor expansion of k in k 29.071 * [backup-simplify]: Simplify 0 into 0 29.071 * [backup-simplify]: Simplify 1 into 1 29.072 * [backup-simplify]: Simplify (/ 1 1) into 1 29.072 * [backup-simplify]: Simplify (sqrt 0) into 0 29.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.073 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.073 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.073 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.073 * [taylor]: Taking taylor expansion of 1/2 in n 29.073 * [backup-simplify]: Simplify 1/2 into 1/2 29.073 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.073 * [taylor]: Taking taylor expansion of 1 in n 29.073 * [backup-simplify]: Simplify 1 into 1 29.073 * [taylor]: Taking taylor expansion of k in n 29.073 * [backup-simplify]: Simplify k into k 29.073 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.073 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.073 * [taylor]: Taking taylor expansion of 2 in n 29.073 * [backup-simplify]: Simplify 2 into 2 29.073 * [taylor]: Taking taylor expansion of (* n PI) in n 29.073 * [taylor]: Taking taylor expansion of n in n 29.073 * [backup-simplify]: Simplify 0 into 0 29.073 * [backup-simplify]: Simplify 1 into 1 29.073 * [taylor]: Taking taylor expansion of PI in n 29.073 * [backup-simplify]: Simplify PI into PI 29.073 * [backup-simplify]: Simplify (* 0 PI) into 0 29.074 * [backup-simplify]: Simplify (* 2 0) into 0 29.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.076 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.076 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.076 * [backup-simplify]: Simplify (- k) into (- k) 29.076 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.076 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.077 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.078 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.078 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.078 * [taylor]: Taking taylor expansion of k in n 29.078 * [backup-simplify]: Simplify k into k 29.079 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.079 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.079 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 29.079 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 29.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 29.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 29.079 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 29.079 * [taylor]: Taking taylor expansion of 1/2 in n 29.079 * [backup-simplify]: Simplify 1/2 into 1/2 29.079 * [taylor]: Taking taylor expansion of (- 1 k) in n 29.079 * [taylor]: Taking taylor expansion of 1 in n 29.079 * [backup-simplify]: Simplify 1 into 1 29.079 * [taylor]: Taking taylor expansion of k in n 29.079 * [backup-simplify]: Simplify k into k 29.079 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 29.079 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 29.079 * [taylor]: Taking taylor expansion of 2 in n 29.079 * [backup-simplify]: Simplify 2 into 2 29.079 * [taylor]: Taking taylor expansion of (* n PI) in n 29.079 * [taylor]: Taking taylor expansion of n in n 29.079 * [backup-simplify]: Simplify 0 into 0 29.079 * [backup-simplify]: Simplify 1 into 1 29.079 * [taylor]: Taking taylor expansion of PI in n 29.079 * [backup-simplify]: Simplify PI into PI 29.079 * [backup-simplify]: Simplify (* 0 PI) into 0 29.080 * [backup-simplify]: Simplify (* 2 0) into 0 29.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 29.081 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 29.082 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.082 * [backup-simplify]: Simplify (- k) into (- k) 29.082 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 29.082 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 29.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.083 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 29.084 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 29.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 29.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.084 * [taylor]: Taking taylor expansion of k in n 29.084 * [backup-simplify]: Simplify k into k 29.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.084 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 29.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 29.085 * [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))) 29.085 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 29.085 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 29.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 29.085 * [taylor]: Taking taylor expansion of 1/2 in k 29.085 * [backup-simplify]: Simplify 1/2 into 1/2 29.085 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 29.085 * [taylor]: Taking taylor expansion of (- 1 k) in k 29.085 * [taylor]: Taking taylor expansion of 1 in k 29.085 * [backup-simplify]: Simplify 1 into 1 29.085 * [taylor]: Taking taylor expansion of k in k 29.085 * [backup-simplify]: Simplify 0 into 0 29.085 * [backup-simplify]: Simplify 1 into 1 29.085 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 29.085 * [taylor]: Taking taylor expansion of (log n) in k 29.085 * [taylor]: Taking taylor expansion of n in k 29.085 * [backup-simplify]: Simplify n into n 29.085 * [backup-simplify]: Simplify (log n) into (log n) 29.085 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.085 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.085 * [taylor]: Taking taylor expansion of 2 in k 29.085 * [backup-simplify]: Simplify 2 into 2 29.085 * [taylor]: Taking taylor expansion of PI in k 29.085 * [backup-simplify]: Simplify PI into PI 29.086 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.086 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.087 * [backup-simplify]: Simplify (- 0) into 0 29.087 * [backup-simplify]: Simplify (+ 1 0) into 1 29.088 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.088 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 29.089 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 29.089 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 29.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 29.089 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.090 * [taylor]: Taking taylor expansion of k in k 29.090 * [backup-simplify]: Simplify 0 into 0 29.090 * [backup-simplify]: Simplify 1 into 1 29.090 * [backup-simplify]: Simplify (/ 1 1) into 1 29.090 * [backup-simplify]: Simplify (sqrt 0) into 0 29.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 29.091 * [backup-simplify]: Simplify 0 into 0 29.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 29.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 29.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.095 * [backup-simplify]: Simplify (- 0) into 0 29.095 * [backup-simplify]: Simplify (+ 0 0) into 0 29.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 29.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.098 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 29.100 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.101 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 29.101 * [taylor]: Taking taylor expansion of 0 in k 29.101 * [backup-simplify]: Simplify 0 into 0 29.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 29.103 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.105 * [backup-simplify]: Simplify (+ 0 0) into 0 29.105 * [backup-simplify]: Simplify (- 1) into -1 29.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.107 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 29.109 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 29.112 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.116 * [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))))))) 29.117 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 29.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 29.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 29.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 29.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.124 * [backup-simplify]: Simplify (- 0) into 0 29.125 * [backup-simplify]: Simplify (+ 0 0) into 0 29.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 29.127 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.128 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.131 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.133 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 29.133 * [taylor]: Taking taylor expansion of 0 in k 29.133 * [backup-simplify]: Simplify 0 into 0 29.133 * [backup-simplify]: Simplify 0 into 0 29.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 29.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.144 * [backup-simplify]: Simplify (+ 0 0) into 0 29.145 * [backup-simplify]: Simplify (- 0) into 0 29.145 * [backup-simplify]: Simplify (+ 0 0) into 0 29.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 29.153 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 29.169 * [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)))))))) 29.174 * [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)))))))) 29.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 29.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 29.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 29.183 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.184 * [backup-simplify]: Simplify (- 0) into 0 29.184 * [backup-simplify]: Simplify (+ 0 0) into 0 29.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 29.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 29.189 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.192 * [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 29.194 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 29.194 * [taylor]: Taking taylor expansion of 0 in k 29.194 * [backup-simplify]: Simplify 0 into 0 29.194 * [backup-simplify]: Simplify 0 into 0 29.194 * [backup-simplify]: Simplify 0 into 0 29.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.202 * [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 29.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.210 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.210 * [backup-simplify]: Simplify (+ 0 0) into 0 29.210 * [backup-simplify]: Simplify (- 0) into 0 29.211 * [backup-simplify]: Simplify (+ 0 0) into 0 29.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 29.222 * [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))))))) 29.238 * [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)))))))))))))) 29.246 * [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)))))))))))))) 29.256 * [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)))))))))))))))))))))) 29.256 * [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)) 29.256 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 29.257 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 29.257 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 29.257 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 29.257 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 29.257 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 29.257 * [taylor]: Taking taylor expansion of 1/2 in k 29.257 * [backup-simplify]: Simplify 1/2 into 1/2 29.257 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.257 * [taylor]: Taking taylor expansion of 1 in k 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.257 * [taylor]: Taking taylor expansion of k in k 29.257 * [backup-simplify]: Simplify 0 into 0 29.257 * [backup-simplify]: Simplify 1 into 1 29.257 * [backup-simplify]: Simplify (/ 1 1) into 1 29.257 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 29.257 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 29.257 * [taylor]: Taking taylor expansion of 2 in k 29.257 * [backup-simplify]: Simplify 2 into 2 29.257 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.257 * [taylor]: Taking taylor expansion of PI in k 29.257 * [backup-simplify]: Simplify PI into PI 29.257 * [taylor]: Taking taylor expansion of n in k 29.257 * [backup-simplify]: Simplify n into n 29.257 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.257 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 29.257 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 29.257 * [backup-simplify]: Simplify (- 1) into -1 29.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.258 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 29.258 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 29.258 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 29.258 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.258 * [taylor]: Taking taylor expansion of k in k 29.258 * [backup-simplify]: Simplify 0 into 0 29.258 * [backup-simplify]: Simplify 1 into 1 29.259 * [backup-simplify]: Simplify (sqrt 0) into 0 29.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.259 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.259 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.259 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.260 * [taylor]: Taking taylor expansion of 1/2 in n 29.260 * [backup-simplify]: Simplify 1/2 into 1/2 29.260 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.260 * [taylor]: Taking taylor expansion of 1 in n 29.260 * [backup-simplify]: Simplify 1 into 1 29.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.260 * [taylor]: Taking taylor expansion of k in n 29.260 * [backup-simplify]: Simplify k into k 29.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.260 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.260 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.260 * [taylor]: Taking taylor expansion of 2 in n 29.260 * [backup-simplify]: Simplify 2 into 2 29.260 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.260 * [taylor]: Taking taylor expansion of PI in n 29.260 * [backup-simplify]: Simplify PI into PI 29.260 * [taylor]: Taking taylor expansion of n in n 29.260 * [backup-simplify]: Simplify 0 into 0 29.260 * [backup-simplify]: Simplify 1 into 1 29.260 * [backup-simplify]: Simplify (/ PI 1) into PI 29.260 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.261 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.261 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.261 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.261 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.263 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.264 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.264 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.264 * [taylor]: Taking taylor expansion of k in n 29.264 * [backup-simplify]: Simplify k into k 29.264 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.264 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 29.264 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 29.264 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 29.264 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 29.264 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 29.264 * [taylor]: Taking taylor expansion of 1/2 in n 29.264 * [backup-simplify]: Simplify 1/2 into 1/2 29.264 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 29.264 * [taylor]: Taking taylor expansion of 1 in n 29.264 * [backup-simplify]: Simplify 1 into 1 29.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.264 * [taylor]: Taking taylor expansion of k in n 29.264 * [backup-simplify]: Simplify k into k 29.264 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.264 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 29.264 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 29.264 * [taylor]: Taking taylor expansion of 2 in n 29.264 * [backup-simplify]: Simplify 2 into 2 29.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.264 * [taylor]: Taking taylor expansion of PI in n 29.264 * [backup-simplify]: Simplify PI into PI 29.264 * [taylor]: Taking taylor expansion of n in n 29.264 * [backup-simplify]: Simplify 0 into 0 29.264 * [backup-simplify]: Simplify 1 into 1 29.264 * [backup-simplify]: Simplify (/ PI 1) into PI 29.265 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.265 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.265 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 29.265 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 29.265 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 29.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.267 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 29.268 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.268 * [taylor]: Taking taylor expansion of (sqrt k) in n 29.268 * [taylor]: Taking taylor expansion of k in n 29.268 * [backup-simplify]: Simplify k into k 29.268 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 29.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 29.268 * [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)) 29.268 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 29.268 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 29.269 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 29.269 * [taylor]: Taking taylor expansion of 1/2 in k 29.269 * [backup-simplify]: Simplify 1/2 into 1/2 29.269 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 29.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 29.269 * [taylor]: Taking taylor expansion of 1 in k 29.269 * [backup-simplify]: Simplify 1 into 1 29.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.269 * [taylor]: Taking taylor expansion of k in k 29.269 * [backup-simplify]: Simplify 0 into 0 29.269 * [backup-simplify]: Simplify 1 into 1 29.269 * [backup-simplify]: Simplify (/ 1 1) into 1 29.269 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 29.269 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 29.269 * [taylor]: Taking taylor expansion of (* 2 PI) in k 29.269 * [taylor]: Taking taylor expansion of 2 in k 29.269 * [backup-simplify]: Simplify 2 into 2 29.269 * [taylor]: Taking taylor expansion of PI in k 29.269 * [backup-simplify]: Simplify PI into PI 29.270 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 29.271 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 29.271 * [taylor]: Taking taylor expansion of (log n) in k 29.271 * [taylor]: Taking taylor expansion of n in k 29.271 * [backup-simplify]: Simplify n into n 29.271 * [backup-simplify]: Simplify (log n) into (log n) 29.271 * [backup-simplify]: Simplify (- 1) into -1 29.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.272 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.273 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 29.274 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 29.275 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 29.276 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 29.276 * [taylor]: Taking taylor expansion of (sqrt k) in k 29.276 * [taylor]: Taking taylor expansion of k in k 29.276 * [backup-simplify]: Simplify 0 into 0 29.276 * [backup-simplify]: Simplify 1 into 1 29.277 * [backup-simplify]: Simplify (sqrt 0) into 0 29.278 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 29.279 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 29.280 * [backup-simplify]: Simplify 0 into 0 29.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.281 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 29.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 29.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.290 * [backup-simplify]: Simplify (- 0) into 0 29.291 * [backup-simplify]: Simplify (+ 0 0) into 0 29.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 29.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.294 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 29.296 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.297 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 29.297 * [taylor]: Taking taylor expansion of 0 in k 29.297 * [backup-simplify]: Simplify 0 into 0 29.297 * [backup-simplify]: Simplify 0 into 0 29.299 * [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))))))) 29.300 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 29.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 29.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 29.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.307 * [backup-simplify]: Simplify (- 0) into 0 29.307 * [backup-simplify]: Simplify (+ 0 0) into 0 29.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 29.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.311 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 29.313 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.315 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 29.315 * [taylor]: Taking taylor expansion of 0 in k 29.315 * [backup-simplify]: Simplify 0 into 0 29.315 * [backup-simplify]: Simplify 0 into 0 29.315 * [backup-simplify]: Simplify 0 into 0 29.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.320 * [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))))))) 29.321 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 29.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 29.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.331 * [backup-simplify]: Simplify (- 0) into 0 29.331 * [backup-simplify]: Simplify (+ 0 0) into 0 29.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 29.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 29.336 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 29.339 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 29.341 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 29.341 * [taylor]: Taking taylor expansion of 0 in k 29.341 * [backup-simplify]: Simplify 0 into 0 29.341 * [backup-simplify]: Simplify 0 into 0 29.341 * [backup-simplify]: Simplify 0 into 0 29.341 * [backup-simplify]: Simplify 0 into 0 29.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.347 * [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))))))) 29.349 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 29.353 * [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)))))))) 29.354 * [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))) 29.354 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 29.354 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 29.354 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 29.354 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 29.354 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 29.354 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 29.354 * [taylor]: Taking taylor expansion of 1/2 in k 29.354 * [backup-simplify]: Simplify 1/2 into 1/2 29.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.354 * [taylor]: Taking taylor expansion of k in k 29.354 * [backup-simplify]: Simplify 0 into 0 29.354 * [backup-simplify]: Simplify 1 into 1 29.354 * [backup-simplify]: Simplify (/ 1 1) into 1 29.354 * [taylor]: Taking taylor expansion of 1 in k 29.354 * [backup-simplify]: Simplify 1 into 1 29.354 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 29.354 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 29.354 * [taylor]: Taking taylor expansion of -2 in k 29.354 * [backup-simplify]: Simplify -2 into -2 29.354 * [taylor]: Taking taylor expansion of (/ PI n) in k 29.355 * [taylor]: Taking taylor expansion of PI in k 29.355 * [backup-simplify]: Simplify PI into PI 29.355 * [taylor]: Taking taylor expansion of n in k 29.355 * [backup-simplify]: Simplify n into n 29.355 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 29.355 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 29.355 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 29.355 * [backup-simplify]: Simplify (+ 1 0) into 1 29.356 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 29.356 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 29.356 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 29.356 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.356 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.356 * [taylor]: Taking taylor expansion of -1 in k 29.356 * [backup-simplify]: Simplify -1 into -1 29.356 * [taylor]: Taking taylor expansion of k in k 29.356 * [backup-simplify]: Simplify 0 into 0 29.356 * [backup-simplify]: Simplify 1 into 1 29.357 * [backup-simplify]: Simplify (/ -1 1) into -1 29.357 * [backup-simplify]: Simplify (sqrt 0) into 0 29.358 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.359 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 29.359 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.359 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.359 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.359 * [taylor]: Taking taylor expansion of 1/2 in n 29.359 * [backup-simplify]: Simplify 1/2 into 1/2 29.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.359 * [taylor]: Taking taylor expansion of k in n 29.359 * [backup-simplify]: Simplify k into k 29.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.359 * [taylor]: Taking taylor expansion of 1 in n 29.359 * [backup-simplify]: Simplify 1 into 1 29.359 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.359 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.359 * [taylor]: Taking taylor expansion of -2 in n 29.359 * [backup-simplify]: Simplify -2 into -2 29.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.359 * [taylor]: Taking taylor expansion of PI in n 29.359 * [backup-simplify]: Simplify PI into PI 29.359 * [taylor]: Taking taylor expansion of n in n 29.359 * [backup-simplify]: Simplify 0 into 0 29.359 * [backup-simplify]: Simplify 1 into 1 29.360 * [backup-simplify]: Simplify (/ PI 1) into PI 29.360 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.361 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.361 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.361 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.364 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.365 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.365 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.365 * [taylor]: Taking taylor expansion of -1 in n 29.365 * [backup-simplify]: Simplify -1 into -1 29.365 * [taylor]: Taking taylor expansion of k in n 29.365 * [backup-simplify]: Simplify k into k 29.365 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.365 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.365 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.367 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.367 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 29.367 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 29.367 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 29.367 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 29.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 29.367 * [taylor]: Taking taylor expansion of 1/2 in n 29.367 * [backup-simplify]: Simplify 1/2 into 1/2 29.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 29.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 29.367 * [taylor]: Taking taylor expansion of k in n 29.367 * [backup-simplify]: Simplify k into k 29.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 29.367 * [taylor]: Taking taylor expansion of 1 in n 29.367 * [backup-simplify]: Simplify 1 into 1 29.367 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 29.368 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 29.368 * [taylor]: Taking taylor expansion of -2 in n 29.368 * [backup-simplify]: Simplify -2 into -2 29.368 * [taylor]: Taking taylor expansion of (/ PI n) in n 29.368 * [taylor]: Taking taylor expansion of PI in n 29.368 * [backup-simplify]: Simplify PI into PI 29.368 * [taylor]: Taking taylor expansion of n in n 29.368 * [backup-simplify]: Simplify 0 into 0 29.368 * [backup-simplify]: Simplify 1 into 1 29.368 * [backup-simplify]: Simplify (/ PI 1) into PI 29.369 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.370 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.370 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 29.370 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 29.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.373 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 29.374 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 29.374 * [taylor]: Taking taylor expansion of (/ -1 k) in n 29.374 * [taylor]: Taking taylor expansion of -1 in n 29.374 * [backup-simplify]: Simplify -1 into -1 29.374 * [taylor]: Taking taylor expansion of k in n 29.374 * [backup-simplify]: Simplify k into k 29.374 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 29.374 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 29.374 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 29.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 29.375 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 29.376 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 29.376 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 29.376 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 29.376 * [taylor]: Taking taylor expansion of 1/2 in k 29.376 * [backup-simplify]: Simplify 1/2 into 1/2 29.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 29.376 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 29.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 29.376 * [taylor]: Taking taylor expansion of k in k 29.376 * [backup-simplify]: Simplify 0 into 0 29.376 * [backup-simplify]: Simplify 1 into 1 29.376 * [backup-simplify]: Simplify (/ 1 1) into 1 29.376 * [taylor]: Taking taylor expansion of 1 in k 29.376 * [backup-simplify]: Simplify 1 into 1 29.376 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 29.376 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 29.376 * [taylor]: Taking taylor expansion of (* -2 PI) in k 29.376 * [taylor]: Taking taylor expansion of -2 in k 29.376 * [backup-simplify]: Simplify -2 into -2 29.376 * [taylor]: Taking taylor expansion of PI in k 29.377 * [backup-simplify]: Simplify PI into PI 29.377 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 29.378 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 29.378 * [taylor]: Taking taylor expansion of (log n) in k 29.378 * [taylor]: Taking taylor expansion of n in k 29.378 * [backup-simplify]: Simplify n into n 29.378 * [backup-simplify]: Simplify (log n) into (log n) 29.379 * [backup-simplify]: Simplify (+ 1 0) into 1 29.379 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 29.380 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 29.381 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 29.382 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 29.383 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 29.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 29.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 29.383 * [taylor]: Taking taylor expansion of -1 in k 29.383 * [backup-simplify]: Simplify -1 into -1 29.383 * [taylor]: Taking taylor expansion of k in k 29.383 * [backup-simplify]: Simplify 0 into 0 29.383 * [backup-simplify]: Simplify 1 into 1 29.384 * [backup-simplify]: Simplify (/ -1 1) into -1 29.384 * [backup-simplify]: Simplify (sqrt 0) into 0 29.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 29.386 * [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)))))) 29.387 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 29.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.389 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 29.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 29.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 29.391 * [backup-simplify]: Simplify (+ 0 0) into 0 29.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 29.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.394 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 29.397 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 29.399 * [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 29.399 * [taylor]: Taking taylor expansion of 0 in k 29.399 * [backup-simplify]: Simplify 0 into 0 29.399 * [backup-simplify]: Simplify 0 into 0 29.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 29.403 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 29.405 * [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))))))) 29.406 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.408 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 29.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 29.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.412 * [backup-simplify]: Simplify (+ 0 0) into 0 29.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 29.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 29.416 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 29.418 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 29.418 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 29.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 29.419 * [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 29.419 * [taylor]: Taking taylor expansion of 0 in k 29.419 * [backup-simplify]: Simplify 0 into 0 29.419 * [backup-simplify]: Simplify 0 into 0 29.419 * [backup-simplify]: Simplify 0 into 0 29.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 29.424 * [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))))))) 29.429 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 29.432 * [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)))))))))))) 29.432 * * * [progress]: simplifying candidates 29.432 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 29.432 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 29.432 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 29.433 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 29.433 * * [simplify]: iters left: 6 (13 enodes) 29.437 * * [simplify]: iters left: 5 (54 enodes) 29.448 * * [simplify]: iters left: 4 (97 enodes) 29.489 * * [simplify]: iters left: 3 (250 enodes) 29.576 * * [simplify]: Extracting #0: cost 1 inf + 0 29.577 * * [simplify]: Extracting #1: cost 34 inf + 0 29.577 * * [simplify]: Extracting #2: cost 100 inf + 73 29.578 * * [simplify]: Extracting #3: cost 126 inf + 1867 29.581 * * [simplify]: Extracting #4: cost 46 inf + 20363 29.593 * * [simplify]: Extracting #5: cost 5 inf + 31901 29.600 * * [simplify]: Extracting #6: cost 0 inf + 33789 29.611 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 29.611 * [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)))) 29.611 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 29.611 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 29.611 * * [simplify]: iters left: 6 (12 enodes) 29.616 * * [simplify]: iters left: 5 (52 enodes) 29.625 * * [simplify]: iters left: 4 (90 enodes) 29.642 * * [simplify]: iters left: 3 (207 enodes) 29.727 * * [simplify]: Extracting #0: cost 1 inf + 0 29.727 * * [simplify]: Extracting #1: cost 29 inf + 0 29.728 * * [simplify]: Extracting #2: cost 88 inf + 73 29.729 * * [simplify]: Extracting #3: cost 117 inf + 443 29.731 * * [simplify]: Extracting #4: cost 77 inf + 5789 29.738 * * [simplify]: Extracting #5: cost 28 inf + 17508 29.749 * * [simplify]: Extracting #6: cost 0 inf + 26056 29.760 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 29.760 * [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)))) 29.760 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 29.761 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 29.761 * * [simplify]: iters left: 6 (11 enodes) 29.768 * * [simplify]: iters left: 5 (51 enodes) 29.785 * * [simplify]: iters left: 4 (97 enodes) 29.819 * * [simplify]: iters left: 3 (201 enodes) 29.901 * * [simplify]: Extracting #0: cost 1 inf + 0 29.901 * * [simplify]: Extracting #1: cost 31 inf + 0 29.901 * * [simplify]: Extracting #2: cost 94 inf + 2 29.902 * * [simplify]: Extracting #3: cost 127 inf + 355 29.905 * * [simplify]: Extracting #4: cost 75 inf + 7402 29.911 * * [simplify]: Extracting #5: cost 31 inf + 16283 29.921 * * [simplify]: Extracting #6: cost 3 inf + 23308 29.928 * * [simplify]: Extracting #7: cost 0 inf + 24140 29.936 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 29.936 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (/ 1 (sqrt k)))) 29.936 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 29.936 * * * * [progress]: [ 7 / 197 ] simplifiying candidate # 29.936 * [simplify]: Simplifying (* n (* 2 PI)) 29.937 * * [simplify]: iters left: 4 (5 enodes) 29.938 * * [simplify]: iters left: 3 (19 enodes) 29.941 * * [simplify]: iters left: 2 (27 enodes) 29.946 * * [simplify]: iters left: 1 (32 enodes) 29.950 * * [simplify]: Extracting #0: cost 1 inf + 0 29.950 * * [simplify]: Extracting #1: cost 8 inf + 0 29.950 * * [simplify]: Extracting #2: cost 7 inf + 45 29.950 * * [simplify]: Extracting #3: cost 0 inf + 421 29.950 * [simplify]: Simplified to (* (* PI 2) n) 29.950 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 29.950 * * * * [progress]: [ 8 / 197 ] simplifiying candidate # 29.950 * [simplify]: Simplifying (* n (* 2 PI)) 29.951 * * [simplify]: iters left: 4 (5 enodes) 29.952 * * [simplify]: iters left: 3 (19 enodes) 29.958 * * [simplify]: iters left: 2 (27 enodes) 29.966 * * [simplify]: iters left: 1 (32 enodes) 29.972 * * [simplify]: Extracting #0: cost 1 inf + 0 29.972 * * [simplify]: Extracting #1: cost 8 inf + 0 29.972 * * [simplify]: Extracting #2: cost 7 inf + 45 29.972 * * [simplify]: Extracting #3: cost 0 inf + 421 29.972 * [simplify]: Simplified to (* (* PI 2) n) 29.972 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 29.972 * * * * [progress]: [ 9 / 197 ] simplifiying candidate # 29.972 * [simplify]: Simplifying (* n (* 2 PI)) 29.972 * * [simplify]: iters left: 4 (5 enodes) 29.974 * * [simplify]: iters left: 3 (19 enodes) 29.977 * * [simplify]: iters left: 2 (27 enodes) 29.981 * * [simplify]: iters left: 1 (32 enodes) 29.985 * * [simplify]: Extracting #0: cost 1 inf + 0 29.985 * * [simplify]: Extracting #1: cost 8 inf + 0 29.985 * * [simplify]: Extracting #2: cost 7 inf + 45 29.985 * * [simplify]: Extracting #3: cost 0 inf + 421 29.985 * [simplify]: Simplified to (* (* PI 2) n) 29.985 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 29.985 * * * * [progress]: [ 10 / 197 ] simplifiying candidate # 29.986 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 29.986 * * [simplify]: iters left: 5 (8 enodes) 29.988 * * [simplify]: iters left: 4 (31 enodes) 29.993 * * [simplify]: iters left: 3 (51 enodes) 30.007 * * [simplify]: iters left: 2 (85 enodes) 30.025 * * [simplify]: iters left: 1 (152 enodes) 30.062 * * [simplify]: Extracting #0: cost 1 inf + 0 30.062 * * [simplify]: Extracting #1: cost 13 inf + 0 30.063 * * [simplify]: Extracting #2: cost 59 inf + 1 30.063 * * [simplify]: Extracting #3: cost 76 inf + 9 30.063 * * [simplify]: Extracting #4: cost 41 inf + 3303 30.065 * * [simplify]: Extracting #5: cost 16 inf + 10676 30.067 * * [simplify]: Extracting #6: cost 0 inf + 21028 30.070 * * [simplify]: Extracting #7: cost 0 inf + 20456 30.073 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 30.073 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k)))) 30.073 * * * * [progress]: [ 11 / 197 ] simplifiying candidate # 30.073 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 30.073 * * [simplify]: iters left: 5 (6 enodes) 30.076 * * [simplify]: iters left: 4 (26 enodes) 30.081 * * [simplify]: iters left: 3 (35 enodes) 30.087 * * [simplify]: Extracting #0: cost 1 inf + 0 30.087 * * [simplify]: Extracting #1: cost 3 inf + 0 30.087 * * [simplify]: Extracting #2: cost 8 inf + 0 30.087 * * [simplify]: Extracting #3: cost 11 inf + 2 30.087 * * [simplify]: Extracting #4: cost 8 inf + 87 30.087 * * [simplify]: Extracting #5: cost 2 inf + 500 30.087 * * [simplify]: Extracting #6: cost 0 inf + 746 30.088 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 30.088 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.088 * * * * [progress]: [ 12 / 197 ] simplifiying candidate # 30.088 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 30.088 * * [simplify]: iters left: 5 (6 enodes) 30.093 * * [simplify]: iters left: 4 (26 enodes) 30.101 * * [simplify]: iters left: 3 (35 enodes) 30.112 * * [simplify]: Extracting #0: cost 1 inf + 0 30.112 * * [simplify]: Extracting #1: cost 3 inf + 0 30.112 * * [simplify]: Extracting #2: cost 8 inf + 0 30.112 * * [simplify]: Extracting #3: cost 11 inf + 2 30.112 * * [simplify]: Extracting #4: cost 8 inf + 87 30.112 * * [simplify]: Extracting #5: cost 2 inf + 460 30.113 * * [simplify]: Extracting #6: cost 0 inf + 666 30.113 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 30.113 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.113 * * * * [progress]: [ 13 / 197 ] simplifiying candidate # 30.114 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 30.114 * * [simplify]: iters left: 5 (7 enodes) 30.118 * * [simplify]: iters left: 4 (25 enodes) 30.127 * * [simplify]: iters left: 3 (30 enodes) 30.140 * * [simplify]: Extracting #0: cost 1 inf + 0 30.140 * * [simplify]: Extracting #1: cost 4 inf + 0 30.141 * * [simplify]: Extracting #2: cost 8 inf + 0 30.141 * * [simplify]: Extracting #3: cost 10 inf + 82 30.141 * * [simplify]: Extracting #4: cost 7 inf + 206 30.141 * * [simplify]: Extracting #5: cost 2 inf + 575 30.141 * * [simplify]: Extracting #6: cost 1 inf + 818 30.142 * * [simplify]: Extracting #7: cost 0 inf + 1061 30.142 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 30.142 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.143 * * * * [progress]: [ 14 / 197 ] simplifiying candidate # 30.143 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 30.143 * * [simplify]: iters left: 5 (7 enodes) 30.147 * * [simplify]: iters left: 4 (25 enodes) 30.156 * * [simplify]: iters left: 3 (30 enodes) 30.166 * * [simplify]: Extracting #0: cost 1 inf + 0 30.166 * * [simplify]: Extracting #1: cost 4 inf + 0 30.167 * * [simplify]: Extracting #2: cost 8 inf + 0 30.167 * * [simplify]: Extracting #3: cost 10 inf + 42 30.167 * * [simplify]: Extracting #4: cost 7 inf + 126 30.167 * * [simplify]: Extracting #5: cost 2 inf + 495 30.167 * * [simplify]: Extracting #6: cost 1 inf + 698 30.168 * * [simplify]: Extracting #7: cost 0 inf + 901 30.168 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 30.168 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.168 * * * * [progress]: [ 15 / 197 ] simplifiying candidate # 30.168 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 30.169 * * [simplify]: iters left: 5 (6 enodes) 30.172 * * [simplify]: iters left: 4 (22 enodes) 30.179 * * [simplify]: iters left: 3 (27 enodes) 30.186 * * [simplify]: Extracting #0: cost 1 inf + 0 30.186 * * [simplify]: Extracting #1: cost 4 inf + 0 30.186 * * [simplify]: Extracting #2: cost 5 inf + 1 30.186 * * [simplify]: Extracting #3: cost 9 inf + 1 30.187 * * [simplify]: Extracting #4: cost 8 inf + 3 30.187 * * [simplify]: Extracting #5: cost 4 inf + 169 30.187 * * [simplify]: Extracting #6: cost 1 inf + 576 30.187 * * [simplify]: Extracting #7: cost 0 inf + 739 30.187 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 30.187 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.187 * * * * [progress]: [ 16 / 197 ] simplifiying candidate # 30.187 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 30.187 * * [simplify]: iters left: 5 (7 enodes) 30.190 * * [simplify]: iters left: 4 (25 enodes) 30.194 * * [simplify]: iters left: 3 (30 enodes) 30.199 * * [simplify]: Extracting #0: cost 1 inf + 0 30.199 * * [simplify]: Extracting #1: cost 4 inf + 0 30.199 * * [simplify]: Extracting #2: cost 8 inf + 0 30.199 * * [simplify]: Extracting #3: cost 10 inf + 82 30.200 * * [simplify]: Extracting #4: cost 7 inf + 206 30.200 * * [simplify]: Extracting #5: cost 2 inf + 495 30.200 * * [simplify]: Extracting #6: cost 1 inf + 698 30.200 * * [simplify]: Extracting #7: cost 0 inf + 901 30.200 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 30.200 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.200 * * * * [progress]: [ 17 / 197 ] simplifiying candidate # 30.200 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 30.201 * * [simplify]: iters left: 5 (7 enodes) 30.203 * * [simplify]: iters left: 4 (25 enodes) 30.207 * * [simplify]: iters left: 3 (30 enodes) 30.212 * * [simplify]: Extracting #0: cost 1 inf + 0 30.212 * * [simplify]: Extracting #1: cost 4 inf + 0 30.212 * * [simplify]: Extracting #2: cost 8 inf + 0 30.212 * * [simplify]: Extracting #3: cost 10 inf + 42 30.212 * * [simplify]: Extracting #4: cost 7 inf + 126 30.213 * * [simplify]: Extracting #5: cost 2 inf + 415 30.213 * * [simplify]: Extracting #6: cost 1 inf + 578 30.213 * * [simplify]: Extracting #7: cost 0 inf + 741 30.213 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 30.213 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.213 * * * * [progress]: [ 18 / 197 ] simplifiying candidate # 30.213 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 30.213 * * [simplify]: iters left: 5 (6 enodes) 30.215 * * [simplify]: iters left: 4 (22 enodes) 30.221 * * [simplify]: iters left: 3 (27 enodes) 30.230 * * [simplify]: Extracting #0: cost 1 inf + 0 30.230 * * [simplify]: Extracting #1: cost 4 inf + 0 30.230 * * [simplify]: Extracting #2: cost 5 inf + 1 30.230 * * [simplify]: Extracting #3: cost 9 inf + 1 30.230 * * [simplify]: Extracting #4: cost 8 inf + 3 30.230 * * [simplify]: Extracting #5: cost 4 inf + 169 30.230 * * [simplify]: Extracting #6: cost 1 inf + 456 30.231 * * [simplify]: Extracting #7: cost 0 inf + 579 30.231 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 30.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ 1 (sqrt k)))) 30.231 * * * * [progress]: [ 19 / 197 ] simplifiying candidate # 30.231 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.231 * * [simplify]: iters left: 4 (6 enodes) 30.235 * * [simplify]: iters left: 3 (25 enodes) 30.245 * * [simplify]: iters left: 2 (36 enodes) 30.256 * * [simplify]: iters left: 1 (40 enodes) 30.272 * * [simplify]: Extracting #0: cost 1 inf + 0 30.272 * * [simplify]: Extracting #1: cost 7 inf + 0 30.272 * * [simplify]: Extracting #2: cost 16 inf + 0 30.272 * * [simplify]: Extracting #3: cost 13 inf + 44 30.272 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.273 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.273 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.273 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 30.273 * * * * [progress]: [ 20 / 197 ] simplifiying candidate # 30.274 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.274 * * [simplify]: iters left: 4 (6 enodes) 30.278 * * [simplify]: iters left: 3 (25 enodes) 30.286 * * [simplify]: iters left: 2 (36 enodes) 30.298 * * [simplify]: iters left: 1 (40 enodes) 30.308 * * [simplify]: Extracting #0: cost 1 inf + 0 30.308 * * [simplify]: Extracting #1: cost 7 inf + 0 30.308 * * [simplify]: Extracting #2: cost 16 inf + 0 30.308 * * [simplify]: Extracting #3: cost 13 inf + 44 30.308 * * [simplify]: Extracting #4: cost 3 inf + 823 30.308 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.309 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.309 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 30.309 * * * * [progress]: [ 21 / 197 ] simplifiying candidate # 30.309 * [simplify]: Simplifying (/ (- 1 k) 2) 30.309 * * [simplify]: iters left: 4 (5 enodes) 30.311 * * [simplify]: iters left: 3 (23 enodes) 30.315 * * [simplify]: iters left: 2 (32 enodes) 30.320 * * [simplify]: Extracting #0: cost 1 inf + 0 30.320 * * [simplify]: Extracting #1: cost 6 inf + 0 30.320 * * [simplify]: Extracting #2: cost 9 inf + 2 30.320 * * [simplify]: Extracting #3: cost 6 inf + 87 30.320 * * [simplify]: Extracting #4: cost 0 inf + 420 30.320 * [simplify]: Simplified to (/ (- 1 k) 2) 30.320 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.320 * * * * [progress]: [ 22 / 197 ] simplifiying candidate # 30.320 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 30.320 * * [simplify]: iters left: 5 (8 enodes) 30.323 * * [simplify]: iters left: 4 (31 enodes) 30.328 * * [simplify]: iters left: 3 (45 enodes) 30.336 * * [simplify]: iters left: 2 (51 enodes) 30.350 * * [simplify]: iters left: 1 (52 enodes) 30.364 * * [simplify]: Extracting #0: cost 1 inf + 0 30.364 * * [simplify]: Extracting #1: cost 8 inf + 0 30.364 * * [simplify]: Extracting #2: cost 18 inf + 0 30.365 * * [simplify]: Extracting #3: cost 19 inf + 2 30.365 * * [simplify]: Extracting #4: cost 9 inf + 977 30.366 * * [simplify]: Extracting #5: cost 2 inf + 1790 30.366 * * [simplify]: Extracting #6: cost 0 inf + 2195 30.367 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 30.367 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.367 * * * * [progress]: [ 23 / 197 ] simplifiying candidate # 30.368 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 30.368 * * [simplify]: iters left: 5 (8 enodes) 30.373 * * [simplify]: iters left: 4 (31 enodes) 30.384 * * [simplify]: iters left: 3 (45 enodes) 30.398 * * [simplify]: iters left: 2 (51 enodes) 30.405 * * [simplify]: iters left: 1 (52 enodes) 30.413 * * [simplify]: Extracting #0: cost 1 inf + 0 30.413 * * [simplify]: Extracting #1: cost 8 inf + 0 30.413 * * [simplify]: Extracting #2: cost 18 inf + 0 30.413 * * [simplify]: Extracting #3: cost 19 inf + 2 30.413 * * [simplify]: Extracting #4: cost 9 inf + 697 30.413 * * [simplify]: Extracting #5: cost 2 inf + 1390 30.414 * * [simplify]: Extracting #6: cost 0 inf + 1715 30.414 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 30.414 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.414 * * * * [progress]: [ 24 / 197 ] simplifiying candidate # 30.414 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 30.415 * * [simplify]: iters left: 5 (7 enodes) 30.417 * * [simplify]: iters left: 4 (29 enodes) 30.422 * * [simplify]: iters left: 3 (43 enodes) 30.428 * * [simplify]: iters left: 2 (47 enodes) 30.439 * * [simplify]: Extracting #0: cost 1 inf + 0 30.439 * * [simplify]: Extracting #1: cost 7 inf + 0 30.439 * * [simplify]: Extracting #2: cost 11 inf + 2 30.440 * * [simplify]: Extracting #3: cost 13 inf + 3 30.440 * * [simplify]: Extracting #4: cost 11 inf + 45 30.440 * * [simplify]: Extracting #5: cost 0 inf + 1066 30.440 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 30.441 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 30.441 * * * * [progress]: [ 25 / 197 ] simplifiying candidate # 30.441 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 30.441 * * [simplify]: iters left: 5 (7 enodes) 30.446 * * [simplify]: iters left: 4 (28 enodes) 30.455 * * [simplify]: iters left: 3 (39 enodes) 30.468 * * [simplify]: iters left: 2 (43 enodes) 30.480 * * [simplify]: Extracting #0: cost 1 inf + 0 30.480 * * [simplify]: Extracting #1: cost 7 inf + 0 30.481 * * [simplify]: Extracting #2: cost 16 inf + 0 30.481 * * [simplify]: Extracting #3: cost 15 inf + 164 30.481 * * [simplify]: Extracting #4: cost 13 inf + 287 30.481 * * [simplify]: Extracting #5: cost 5 inf + 1180 30.482 * * [simplify]: Extracting #6: cost 0 inf + 1951 30.482 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 30.482 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ 1 (sqrt k)))) 30.483 * * * * [progress]: [ 26 / 197 ] simplifiying candidate # 30.483 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 30.483 * * [simplify]: iters left: 5 (7 enodes) 30.487 * * [simplify]: iters left: 4 (28 enodes) 30.497 * * [simplify]: iters left: 3 (39 enodes) 30.510 * * [simplify]: iters left: 2 (43 enodes) 30.523 * * [simplify]: Extracting #0: cost 1 inf + 0 30.523 * * [simplify]: Extracting #1: cost 7 inf + 0 30.523 * * [simplify]: Extracting #2: cost 16 inf + 0 30.523 * * [simplify]: Extracting #3: cost 15 inf + 84 30.523 * * [simplify]: Extracting #4: cost 13 inf + 167 30.523 * * [simplify]: Extracting #5: cost 5 inf + 900 30.524 * * [simplify]: Extracting #6: cost 0 inf + 1551 30.524 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 30.524 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ 1 (sqrt k)))) 30.525 * * * * [progress]: [ 27 / 197 ] simplifiying candidate # 30.528 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 30.528 * * [simplify]: iters left: 5 (6 enodes) 30.533 * * [simplify]: iters left: 4 (26 enodes) 30.542 * * [simplify]: iters left: 3 (35 enodes) 30.552 * * [simplify]: Extracting #0: cost 1 inf + 0 30.552 * * [simplify]: Extracting #1: cost 6 inf + 0 30.552 * * [simplify]: Extracting #2: cost 9 inf + 2 30.552 * * [simplify]: Extracting #3: cost 11 inf + 3 30.553 * * [simplify]: Extracting #4: cost 10 inf + 4 30.553 * * [simplify]: Extracting #5: cost 3 inf + 535 30.553 * * [simplify]: Extracting #6: cost 0 inf + 822 30.553 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 30.554 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ 1 (sqrt k)))) 30.554 * * * * [progress]: [ 28 / 197 ] simplifiying candidate # 30.554 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 30.554 * * [simplify]: iters left: 4 (6 enodes) 30.558 * * [simplify]: iters left: 3 (25 enodes) 30.567 * * [simplify]: iters left: 2 (36 enodes) 30.573 * * [simplify]: iters left: 1 (40 enodes) 30.579 * * [simplify]: Extracting #0: cost 1 inf + 0 30.579 * * [simplify]: Extracting #1: cost 7 inf + 0 30.579 * * [simplify]: Extracting #2: cost 16 inf + 0 30.579 * * [simplify]: Extracting #3: cost 13 inf + 44 30.579 * * [simplify]: Extracting #4: cost 3 inf + 1103 30.580 * * [simplify]: Extracting #5: cost 0 inf + 1469 30.580 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 30.580 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ 1 (sqrt k)))) 30.580 * * * * [progress]: [ 29 / 197 ] simplifiying candidate # 30.580 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 30.580 * * [simplify]: iters left: 4 (6 enodes) 30.582 * * [simplify]: iters left: 3 (25 enodes) 30.587 * * [simplify]: iters left: 2 (36 enodes) 30.592 * * [simplify]: iters left: 1 (40 enodes) 30.598 * * [simplify]: Extracting #0: cost 1 inf + 0 30.598 * * [simplify]: Extracting #1: cost 7 inf + 0 30.598 * * [simplify]: Extracting #2: cost 16 inf + 0 30.598 * * [simplify]: Extracting #3: cost 13 inf + 44 30.599 * * [simplify]: Extracting #4: cost 3 inf + 823 30.599 * * [simplify]: Extracting #5: cost 0 inf + 1069 30.599 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 30.599 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ 1 (sqrt k)))) 30.599 * * * * [progress]: [ 30 / 197 ] simplifiying candidate # 30.599 * [simplify]: Simplifying (/ (- 1 k) 2) 30.599 * * [simplify]: iters left: 4 (5 enodes) 30.602 * * [simplify]: iters left: 3 (23 enodes) 30.610 * * [simplify]: iters left: 2 (32 enodes) 30.619 * * [simplify]: Extracting #0: cost 1 inf + 0 30.619 * * [simplify]: Extracting #1: cost 6 inf + 0 30.619 * * [simplify]: Extracting #2: cost 9 inf + 2 30.619 * * [simplify]: Extracting #3: cost 6 inf + 87 30.620 * * [simplify]: Extracting #4: cost 0 inf + 420 30.620 * [simplify]: Simplified to (/ (- 1 k) 2) 30.620 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.620 * * * * [progress]: [ 31 / 197 ] simplifiying candidate # 30.620 * [simplify]: Simplifying (/ (- 1 k) 2) 30.620 * * [simplify]: iters left: 4 (5 enodes) 30.624 * * [simplify]: iters left: 3 (23 enodes) 30.632 * * [simplify]: iters left: 2 (32 enodes) 30.642 * * [simplify]: Extracting #0: cost 1 inf + 0 30.642 * * [simplify]: Extracting #1: cost 6 inf + 0 30.642 * * [simplify]: Extracting #2: cost 9 inf + 2 30.642 * * [simplify]: Extracting #3: cost 6 inf + 87 30.642 * * [simplify]: Extracting #4: cost 0 inf + 420 30.643 * [simplify]: Simplified to (/ (- 1 k) 2) 30.643 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 30.643 * * * * [progress]: [ 32 / 197 ] simplifiying candidate # 30.643 * [simplify]: Simplifying (/ 1 2) 30.643 * * [simplify]: iters left: 2 (3 enodes) 30.646 * * [simplify]: iters left: 1 (12 enodes) 30.654 * * [simplify]: Extracting #0: cost 1 inf + 0 30.654 * * [simplify]: Extracting #1: cost 0 inf + 1 30.654 * [simplify]: Simplified to 1/2 30.654 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (/ 1 (sqrt k)))) 30.655 * * * * [progress]: [ 33 / 197 ] simplifiying candidate # 30.655 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 30.655 * * [simplify]: iters left: 5 (7 enodes) 30.660 * * [simplify]: iters left: 4 (32 enodes) 30.667 * * [simplify]: iters left: 3 (57 enodes) 30.676 * * [simplify]: iters left: 2 (88 enodes) 30.692 * * [simplify]: iters left: 1 (156 enodes) 30.724 * * [simplify]: Extracting #0: cost 1 inf + 0 30.724 * * [simplify]: Extracting #1: cost 13 inf + 0 30.724 * * [simplify]: Extracting #2: cost 49 inf + 2 30.725 * * [simplify]: Extracting #3: cost 80 inf + 6 30.725 * * [simplify]: Extracting #4: cost 58 inf + 1840 30.727 * * [simplify]: Extracting #5: cost 22 inf + 9206 30.729 * * [simplify]: Extracting #6: cost 1 inf + 20886 30.735 * * [simplify]: Extracting #7: cost 0 inf + 21301 30.738 * * [simplify]: Extracting #8: cost 0 inf + 21130 30.742 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 30.742 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ 1 (sqrt k)))) 30.742 * * * * [progress]: [ 34 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 35 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 36 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 37 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 38 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 39 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 40 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 41 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 42 / 197 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ 1 (sqrt k))))> 30.743 * * * * [progress]: [ 43 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 44 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 45 / 197 ] simplifiying candidate # 30.743 * * * * [progress]: [ 46 / 197 ] simplifiying candidate # 30.744 * [simplify]: Simplifying (- 1/2) 30.744 * * [simplify]: iters left: 2 (2 enodes) 30.746 * * [simplify]: iters left: 1 (7 enodes) 30.748 * * [simplify]: Extracting #0: cost 1 inf + 0 30.748 * * [simplify]: Extracting #1: cost 0 inf + 1 30.748 * [simplify]: Simplified to -1/2 30.748 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 30.748 * * * * [progress]: [ 47 / 197 ] simplifiying candidate # 30.749 * [simplify]: Simplifying (- 1) 30.749 * * [simplify]: iters left: 2 (2 enodes) 30.751 * * [simplify]: iters left: 1 (9 enodes) 30.754 * * [simplify]: Extracting #0: cost 1 inf + 0 30.754 * * [simplify]: Extracting #1: cost 0 inf + 1 30.754 * [simplify]: Simplified to -1 30.754 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (sqrt k) -1))) 30.754 * * * * [progress]: [ 48 / 197 ] simplifiying candidate # 30.754 * [simplify]: Simplifying (- (/ 1 2)) 30.754 * * [simplify]: iters left: 4 (4 enodes) 30.759 * * [simplify]: iters left: 3 (19 enodes) 30.764 * * [simplify]: iters left: 2 (23 enodes) 30.771 * * [simplify]: Extracting #0: cost 1 inf + 0 30.771 * * [simplify]: Extracting #1: cost 0 inf + 1 30.771 * [simplify]: Simplified to -1/2 30.771 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow k -1/2))) 30.772 * * * * [progress]: [ 49 / 197 ] simplifiying candidate # 30.772 * * * * [progress]: [ 50 / 197 ] simplifiying candidate # 30.772 * * * * [progress]: [ 51 / 197 ] simplifiying candidate # 30.772 * [simplify]: Simplifying (- 0 (log (sqrt k))) 30.772 * * [simplify]: iters left: 4 (5 enodes) 30.775 * * [simplify]: iters left: 3 (17 enodes) 30.780 * * [simplify]: iters left: 2 (21 enodes) 30.785 * * [simplify]: iters left: 1 (23 enodes) 30.790 * * [simplify]: Extracting #0: cost 1 inf + 0 30.791 * * [simplify]: Extracting #1: cost 4 inf + 0 30.791 * * [simplify]: Extracting #2: cost 5 inf + 1 30.791 * * [simplify]: Extracting #3: cost 7 inf + 1 30.791 * * [simplify]: Extracting #4: cost 0 inf + 608 30.791 * [simplify]: Simplified to (- (log (sqrt k))) 30.791 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 30.791 * * * * [progress]: [ 52 / 197 ] simplifiying candidate # 30.791 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 30.791 * * [simplify]: iters left: 4 (6 enodes) 30.793 * * [simplify]: iters left: 3 (22 enodes) 30.797 * * [simplify]: Extracting #0: cost 1 inf + 0 30.797 * * [simplify]: Extracting #1: cost 4 inf + 0 30.797 * * [simplify]: Extracting #2: cost 5 inf + 1 30.797 * * [simplify]: Extracting #3: cost 7 inf + 1 30.797 * * [simplify]: Extracting #4: cost 6 inf + 2 30.797 * * [simplify]: Extracting #5: cost 1 inf + 457 30.797 * * [simplify]: Extracting #6: cost 0 inf + 608 30.797 * [simplify]: Simplified to (- (log (sqrt k))) 30.797 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (exp (- (log (sqrt k)))))) 30.798 * * * * [progress]: [ 53 / 197 ] simplifiying candidate # 30.798 * * * * [progress]: [ 54 / 197 ] simplifiying candidate # 30.798 * * * * [progress]: [ 55 / 197 ] simplifiying candidate # 30.798 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 30.798 * * [simplify]: iters left: 6 (8 enodes) 30.800 * * [simplify]: iters left: 5 (26 enodes) 30.804 * * [simplify]: iters left: 4 (43 enodes) 30.811 * * [simplify]: iters left: 3 (59 enodes) 30.820 * * [simplify]: iters left: 2 (67 enodes) 30.828 * * [simplify]: iters left: 1 (69 enodes) 30.840 * * [simplify]: Extracting #0: cost 1 inf + 0 30.841 * * [simplify]: Extracting #1: cost 14 inf + 0 30.841 * * [simplify]: Extracting #2: cost 18 inf + 2 30.841 * * [simplify]: Extracting #3: cost 7 inf + 701 30.841 * * [simplify]: Extracting #4: cost 0 inf + 1234 30.841 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 30.842 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (/ (/ 1 k) (sqrt k))))) 30.842 * * * * [progress]: [ 56 / 197 ] simplifiying candidate # 30.842 * * * * [progress]: [ 57 / 197 ] simplifiying candidate # 30.842 * * * * [progress]: [ 58 / 197 ] simplifiying candidate # 30.842 * * * * [progress]: [ 59 / 197 ] simplifiying candidate # 30.842 * * * * [progress]: [ 60 / 197 ] simplifiying candidate # 30.842 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 30.842 * * [simplify]: iters left: 6 (8 enodes) 30.845 * * [simplify]: iters left: 5 (32 enodes) 30.850 * * [simplify]: iters left: 4 (48 enodes) 30.858 * * [simplify]: iters left: 3 (76 enodes) 30.869 * * [simplify]: iters left: 2 (81 enodes) 30.876 * * [simplify]: Extracting #0: cost 1 inf + 0 30.876 * * [simplify]: Extracting #1: cost 6 inf + 0 30.876 * * [simplify]: Extracting #2: cost 9 inf + 1 30.876 * * [simplify]: Extracting #3: cost 11 inf + 1 30.876 * * [simplify]: Extracting #4: cost 2 inf + 1052 30.876 * * [simplify]: Extracting #5: cost 0 inf + 1376 30.877 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 30.877 * [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)))))) 30.877 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 30.877 * * [simplify]: iters left: 4 (6 enodes) 30.881 * * [simplify]: iters left: 3 (20 enodes) 30.887 * * [simplify]: iters left: 2 (22 enodes) 30.893 * * [simplify]: Extracting #0: cost 1 inf + 0 30.893 * * [simplify]: Extracting #1: cost 4 inf + 0 30.894 * * [simplify]: Extracting #2: cost 5 inf + 1 30.894 * * [simplify]: Extracting #3: cost 7 inf + 1 30.894 * * [simplify]: Extracting #4: cost 1 inf + 488 30.894 * * [simplify]: Extracting #5: cost 0 inf + 650 30.894 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 30.894 * [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)))))) 30.894 * * * * [progress]: [ 61 / 197 ] simplifiying candidate # 30.895 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 30.895 * * [simplify]: iters left: 6 (8 enodes) 30.900 * * [simplify]: iters left: 5 (29 enodes) 30.907 * * [simplify]: iters left: 4 (31 enodes) 30.911 * * [simplify]: Extracting #0: cost 1 inf + 0 30.911 * * [simplify]: Extracting #1: cost 4 inf + 0 30.911 * * [simplify]: Extracting #2: cost 6 inf + 1 30.911 * * [simplify]: Extracting #3: cost 9 inf + 1 30.911 * * [simplify]: Extracting #4: cost 8 inf + 2 30.911 * * [simplify]: Extracting #5: cost 2 inf + 729 30.911 * * [simplify]: Extracting #6: cost 0 inf + 972 30.911 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 30.912 * [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)))))) 30.912 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 30.912 * * [simplify]: iters left: 4 (6 enodes) 30.914 * * [simplify]: iters left: 3 (20 enodes) 30.917 * * [simplify]: iters left: 2 (22 enodes) 30.920 * * [simplify]: Extracting #0: cost 1 inf + 0 30.920 * * [simplify]: Extracting #1: cost 4 inf + 0 30.920 * * [simplify]: Extracting #2: cost 5 inf + 1 30.920 * * [simplify]: Extracting #3: cost 7 inf + 1 30.920 * * [simplify]: Extracting #4: cost 1 inf + 568 30.920 * * [simplify]: Extracting #5: cost 0 inf + 730 30.920 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 30.920 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 30.920 * * * * [progress]: [ 62 / 197 ] simplifiying candidate # 30.921 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 30.921 * * [simplify]: iters left: 5 (7 enodes) 30.923 * * [simplify]: iters left: 4 (25 enodes) 30.928 * * [simplify]: iters left: 3 (27 enodes) 30.935 * * [simplify]: Extracting #0: cost 1 inf + 0 30.935 * * [simplify]: Extracting #1: cost 4 inf + 0 30.935 * * [simplify]: Extracting #2: cost 5 inf + 1 30.935 * * [simplify]: Extracting #3: cost 7 inf + 1 30.935 * * [simplify]: Extracting #4: cost 6 inf + 2 30.935 * * [simplify]: Extracting #5: cost 2 inf + 368 30.935 * * [simplify]: Extracting #6: cost 0 inf + 490 30.935 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 30.935 * [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)))))) 30.936 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 30.936 * * [simplify]: iters left: 4 (6 enodes) 30.938 * * [simplify]: iters left: 3 (20 enodes) 30.941 * * [simplify]: iters left: 2 (22 enodes) 30.946 * * [simplify]: Extracting #0: cost 1 inf + 0 30.946 * * [simplify]: Extracting #1: cost 4 inf + 0 30.946 * * [simplify]: Extracting #2: cost 5 inf + 1 30.946 * * [simplify]: Extracting #3: cost 7 inf + 1 30.946 * * [simplify]: Extracting #4: cost 1 inf + 368 30.946 * * [simplify]: Extracting #5: cost 0 inf + 490 30.947 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 30.947 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 30.947 * * * * [progress]: [ 63 / 197 ] simplifiying candidate # 30.947 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 30.947 * * [simplify]: iters left: 5 (5 enodes) 30.952 * * [simplify]: iters left: 4 (19 enodes) 30.955 * * [simplify]: iters left: 3 (21 enodes) 30.958 * * [simplify]: Extracting #0: cost 1 inf + 0 30.958 * * [simplify]: Extracting #1: cost 0 inf + 1 30.958 * [simplify]: Simplified to 1 30.958 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 30.958 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 30.958 * * [simplify]: iters left: 3 (5 enodes) 30.960 * * [simplify]: iters left: 2 (17 enodes) 30.963 * * [simplify]: iters left: 1 (19 enodes) 30.965 * * [simplify]: Extracting #0: cost 1 inf + 0 30.965 * * [simplify]: Extracting #1: cost 4 inf + 0 30.966 * * [simplify]: Extracting #2: cost 5 inf + 1 30.966 * * [simplify]: Extracting #3: cost 0 inf + 248 30.966 * [simplify]: Simplified to (/ 1 (sqrt k)) 30.966 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 30.966 * * * * [progress]: [ 64 / 197 ] simplifiying candidate # 30.966 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 30.966 * * [simplify]: iters left: 5 (7 enodes) 30.968 * * [simplify]: iters left: 4 (25 enodes) 30.972 * * [simplify]: iters left: 3 (27 enodes) 30.976 * * [simplify]: Extracting #0: cost 1 inf + 0 30.976 * * [simplify]: Extracting #1: cost 4 inf + 0 30.976 * * [simplify]: Extracting #2: cost 5 inf + 1 30.976 * * [simplify]: Extracting #3: cost 7 inf + 1 30.976 * * [simplify]: Extracting #4: cost 6 inf + 2 30.976 * * [simplify]: Extracting #5: cost 2 inf + 368 30.977 * * [simplify]: Extracting #6: cost 0 inf + 490 30.977 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 30.977 * [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)))))) 30.977 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 30.977 * * [simplify]: iters left: 4 (6 enodes) 30.979 * * [simplify]: iters left: 3 (20 enodes) 30.982 * * [simplify]: iters left: 2 (22 enodes) 30.985 * * [simplify]: Extracting #0: cost 1 inf + 0 30.985 * * [simplify]: Extracting #1: cost 4 inf + 0 30.985 * * [simplify]: Extracting #2: cost 5 inf + 1 30.985 * * [simplify]: Extracting #3: cost 7 inf + 1 30.985 * * [simplify]: Extracting #4: cost 1 inf + 368 30.985 * * [simplify]: Extracting #5: cost 0 inf + 490 30.985 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 30.985 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 30.985 * * * * [progress]: [ 65 / 197 ] simplifiying candidate # 30.986 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 30.986 * * [simplify]: iters left: 5 (4 enodes) 30.990 * * [simplify]: iters left: 4 (14 enodes) 30.991 * * [simplify]: iters left: 3 (16 enodes) 30.993 * * [simplify]: Extracting #0: cost 1 inf + 0 30.993 * * [simplify]: Extracting #1: cost 0 inf + 1 30.993 * [simplify]: Simplified to 1 30.993 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (cbrt 1) (sqrt k))))) 30.994 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 30.994 * * [simplify]: iters left: 3 (5 enodes) 30.996 * * [simplify]: iters left: 2 (17 enodes) 31.000 * * [simplify]: iters left: 1 (19 enodes) 31.005 * * [simplify]: Extracting #0: cost 1 inf + 0 31.005 * * [simplify]: Extracting #1: cost 4 inf + 0 31.005 * * [simplify]: Extracting #2: cost 5 inf + 1 31.005 * * [simplify]: Extracting #3: cost 0 inf + 248 31.005 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.005 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.005 * * * * [progress]: [ 66 / 197 ] simplifiying candidate # 31.006 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.006 * * [simplify]: iters left: 6 (7 enodes) 31.010 * * [simplify]: iters left: 5 (25 enodes) 31.018 * * [simplify]: iters left: 4 (32 enodes) 31.027 * * [simplify]: iters left: 3 (34 enodes) 31.041 * * [simplify]: Extracting #0: cost 1 inf + 0 31.041 * * [simplify]: Extracting #1: cost 7 inf + 0 31.041 * * [simplify]: Extracting #2: cost 11 inf + 1 31.041 * * [simplify]: Extracting #3: cost 13 inf + 1 31.041 * * [simplify]: Extracting #4: cost 10 inf + 84 31.041 * * [simplify]: Extracting #5: cost 4 inf + 1014 31.042 * * [simplify]: Extracting #6: cost 1 inf + 1498 31.042 * * [simplify]: Extracting #7: cost 0 inf + 1700 31.043 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 31.043 * [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)))))) 31.043 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 31.043 * * [simplify]: iters left: 4 (6 enodes) 31.048 * * [simplify]: iters left: 3 (20 enodes) 31.054 * * [simplify]: iters left: 2 (22 enodes) 31.060 * * [simplify]: Extracting #0: cost 1 inf + 0 31.060 * * [simplify]: Extracting #1: cost 4 inf + 0 31.061 * * [simplify]: Extracting #2: cost 5 inf + 1 31.061 * * [simplify]: Extracting #3: cost 7 inf + 1 31.061 * * [simplify]: Extracting #4: cost 1 inf + 488 31.061 * * [simplify]: Extracting #5: cost 0 inf + 650 31.061 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.061 * [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)))))) 31.061 * * * * [progress]: [ 67 / 197 ] simplifiying candidate # 31.062 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 31.062 * * [simplify]: iters left: 6 (7 enodes) 31.066 * * [simplify]: iters left: 5 (24 enodes) 31.073 * * [simplify]: iters left: 4 (26 enodes) 31.080 * * [simplify]: Extracting #0: cost 1 inf + 0 31.080 * * [simplify]: Extracting #1: cost 4 inf + 0 31.080 * * [simplify]: Extracting #2: cost 6 inf + 1 31.080 * * [simplify]: Extracting #3: cost 9 inf + 1 31.080 * * [simplify]: Extracting #4: cost 8 inf + 2 31.081 * * [simplify]: Extracting #5: cost 2 inf + 730 31.081 * * [simplify]: Extracting #6: cost 0 inf + 972 31.081 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.081 * [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)))))) 31.082 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 31.082 * * [simplify]: iters left: 4 (6 enodes) 31.086 * * [simplify]: iters left: 3 (20 enodes) 31.092 * * [simplify]: iters left: 2 (22 enodes) 31.099 * * [simplify]: Extracting #0: cost 1 inf + 0 31.099 * * [simplify]: Extracting #1: cost 4 inf + 0 31.099 * * [simplify]: Extracting #2: cost 5 inf + 1 31.099 * * [simplify]: Extracting #3: cost 7 inf + 1 31.099 * * [simplify]: Extracting #4: cost 1 inf + 568 31.099 * * [simplify]: Extracting #5: cost 0 inf + 730 31.100 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.100 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.100 * * * * [progress]: [ 68 / 197 ] simplifiying candidate # 31.100 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.100 * * [simplify]: iters left: 4 (6 enodes) 31.104 * * [simplify]: iters left: 3 (20 enodes) 31.110 * * [simplify]: iters left: 2 (22 enodes) 31.116 * * [simplify]: Extracting #0: cost 1 inf + 0 31.116 * * [simplify]: Extracting #1: cost 4 inf + 0 31.116 * * [simplify]: Extracting #2: cost 5 inf + 1 31.116 * * [simplify]: Extracting #3: cost 7 inf + 1 31.116 * * [simplify]: Extracting #4: cost 1 inf + 368 31.116 * * [simplify]: Extracting #5: cost 0 inf + 490 31.117 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.117 * [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)))))) 31.117 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.117 * * [simplify]: iters left: 4 (6 enodes) 31.121 * * [simplify]: iters left: 3 (20 enodes) 31.124 * * [simplify]: iters left: 2 (22 enodes) 31.127 * * [simplify]: Extracting #0: cost 1 inf + 0 31.127 * * [simplify]: Extracting #1: cost 4 inf + 0 31.127 * * [simplify]: Extracting #2: cost 5 inf + 1 31.127 * * [simplify]: Extracting #3: cost 7 inf + 1 31.127 * * [simplify]: Extracting #4: cost 1 inf + 368 31.127 * * [simplify]: Extracting #5: cost 0 inf + 490 31.127 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.127 * [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)))))) 31.127 * * * * [progress]: [ 69 / 197 ] simplifiying candidate # 31.127 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 31.127 * * [simplify]: iters left: 3 (3 enodes) 31.129 * * [simplify]: iters left: 2 (9 enodes) 31.131 * * [simplify]: iters left: 1 (11 enodes) 31.132 * * [simplify]: Extracting #0: cost 1 inf + 0 31.132 * * [simplify]: Extracting #1: cost 0 inf + 1 31.132 * [simplify]: Simplified to 1 31.132 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 31.133 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.133 * * [simplify]: iters left: 3 (5 enodes) 31.135 * * [simplify]: iters left: 2 (17 enodes) 31.137 * * [simplify]: iters left: 1 (19 enodes) 31.141 * * [simplify]: Extracting #0: cost 1 inf + 0 31.141 * * [simplify]: Extracting #1: cost 4 inf + 0 31.141 * * [simplify]: Extracting #2: cost 5 inf + 1 31.141 * * [simplify]: Extracting #3: cost 0 inf + 248 31.141 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.141 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.141 * * * * [progress]: [ 70 / 197 ] simplifiying candidate # 31.141 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.141 * * [simplify]: iters left: 4 (6 enodes) 31.143 * * [simplify]: iters left: 3 (20 enodes) 31.146 * * [simplify]: iters left: 2 (22 enodes) 31.150 * * [simplify]: Extracting #0: cost 1 inf + 0 31.150 * * [simplify]: Extracting #1: cost 4 inf + 0 31.150 * * [simplify]: Extracting #2: cost 5 inf + 1 31.150 * * [simplify]: Extracting #3: cost 7 inf + 1 31.150 * * [simplify]: Extracting #4: cost 1 inf + 368 31.150 * * [simplify]: Extracting #5: cost 0 inf + 490 31.150 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.150 * [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)))))) 31.150 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 31.150 * * [simplify]: iters left: 4 (6 enodes) 31.152 * * [simplify]: iters left: 3 (20 enodes) 31.158 * * [simplify]: iters left: 2 (22 enodes) 31.164 * * [simplify]: Extracting #0: cost 1 inf + 0 31.164 * * [simplify]: Extracting #1: cost 4 inf + 0 31.165 * * [simplify]: Extracting #2: cost 5 inf + 1 31.165 * * [simplify]: Extracting #3: cost 7 inf + 1 31.165 * * [simplify]: Extracting #4: cost 1 inf + 368 31.165 * * [simplify]: Extracting #5: cost 0 inf + 490 31.165 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.165 * [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)))))) 31.165 * * * * [progress]: [ 71 / 197 ] simplifiying candidate # 31.166 * [simplify]: Simplifying (/ (sqrt 1) 1) 31.166 * * [simplify]: iters left: 3 (3 enodes) 31.170 * * [simplify]: iters left: 2 (9 enodes) 31.175 * * [simplify]: iters left: 1 (11 enodes) 31.178 * * [simplify]: Extracting #0: cost 1 inf + 0 31.178 * * [simplify]: Extracting #1: cost 0 inf + 1 31.178 * [simplify]: Simplified to 1 31.178 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ (sqrt 1) (sqrt k))))) 31.179 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 31.179 * * [simplify]: iters left: 3 (5 enodes) 31.183 * * [simplify]: iters left: 2 (17 enodes) 31.188 * * [simplify]: iters left: 1 (19 enodes) 31.193 * * [simplify]: Extracting #0: cost 1 inf + 0 31.193 * * [simplify]: Extracting #1: cost 4 inf + 0 31.193 * * [simplify]: Extracting #2: cost 5 inf + 1 31.193 * * [simplify]: Extracting #3: cost 0 inf + 248 31.193 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.193 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.193 * * * * [progress]: [ 72 / 197 ] simplifiying candidate # 31.194 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.194 * * [simplify]: iters left: 6 (6 enodes) 31.197 * * [simplify]: iters left: 5 (22 enodes) 31.204 * * [simplify]: iters left: 4 (26 enodes) 31.212 * * [simplify]: Extracting #0: cost 1 inf + 0 31.212 * * [simplify]: Extracting #1: cost 6 inf + 0 31.212 * * [simplify]: Extracting #2: cost 9 inf + 1 31.212 * * [simplify]: Extracting #3: cost 11 inf + 1 31.212 * * [simplify]: Extracting #4: cost 8 inf + 84 31.213 * * [simplify]: Extracting #5: cost 2 inf + 1013 31.213 * * [simplify]: Extracting #6: cost 0 inf + 1376 31.213 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 31.214 * [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)))))) 31.214 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 31.214 * * [simplify]: iters left: 4 (5 enodes) 31.217 * * [simplify]: iters left: 3 (17 enodes) 31.222 * * [simplify]: iters left: 2 (19 enodes) 31.228 * * [simplify]: Extracting #0: cost 1 inf + 0 31.228 * * [simplify]: Extracting #1: cost 4 inf + 0 31.228 * * [simplify]: Extracting #2: cost 5 inf + 1 31.229 * * [simplify]: Extracting #3: cost 7 inf + 1 31.229 * * [simplify]: Extracting #4: cost 0 inf + 650 31.229 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 31.229 * [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)))))) 31.229 * * * * [progress]: [ 73 / 197 ] simplifiying candidate # 31.229 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 31.229 * * [simplify]: iters left: 6 (6 enodes) 31.231 * * [simplify]: iters left: 5 (21 enodes) 31.234 * * [simplify]: iters left: 4 (23 enodes) 31.237 * * [simplify]: Extracting #0: cost 1 inf + 0 31.238 * * [simplify]: Extracting #1: cost 4 inf + 0 31.238 * * [simplify]: Extracting #2: cost 6 inf + 1 31.238 * * [simplify]: Extracting #3: cost 9 inf + 1 31.238 * * [simplify]: Extracting #4: cost 8 inf + 2 31.238 * * [simplify]: Extracting #5: cost 1 inf + 810 31.238 * * [simplify]: Extracting #6: cost 0 inf + 972 31.238 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 31.238 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.238 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 31.238 * * [simplify]: iters left: 4 (5 enodes) 31.240 * * [simplify]: iters left: 3 (17 enodes) 31.242 * * [simplify]: iters left: 2 (19 enodes) 31.245 * * [simplify]: Extracting #0: cost 1 inf + 0 31.245 * * [simplify]: Extracting #1: cost 4 inf + 0 31.245 * * [simplify]: Extracting #2: cost 5 inf + 1 31.245 * * [simplify]: Extracting #3: cost 7 inf + 1 31.245 * * [simplify]: Extracting #4: cost 0 inf + 730 31.246 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 31.246 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))))) 31.246 * * * * [progress]: [ 74 / 197 ] simplifiying candidate # 31.246 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.246 * * [simplify]: iters left: 4 (5 enodes) 31.248 * * [simplify]: iters left: 3 (17 enodes) 31.250 * * [simplify]: iters left: 2 (19 enodes) 31.253 * * [simplify]: Extracting #0: cost 1 inf + 0 31.253 * * [simplify]: Extracting #1: cost 4 inf + 0 31.253 * * [simplify]: Extracting #2: cost 5 inf + 1 31.253 * * [simplify]: Extracting #3: cost 7 inf + 1 31.253 * * [simplify]: Extracting #4: cost 0 inf + 490 31.253 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.253 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.254 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.254 * * [simplify]: iters left: 4 (5 enodes) 31.255 * * [simplify]: iters left: 3 (17 enodes) 31.259 * * [simplify]: iters left: 2 (19 enodes) 31.263 * * [simplify]: Extracting #0: cost 1 inf + 0 31.263 * * [simplify]: Extracting #1: cost 4 inf + 0 31.263 * * [simplify]: Extracting #2: cost 5 inf + 1 31.263 * * [simplify]: Extracting #3: cost 7 inf + 1 31.263 * * [simplify]: Extracting #4: cost 0 inf + 490 31.263 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.263 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.263 * * * * [progress]: [ 75 / 197 ] simplifiying candidate # 31.263 * [simplify]: Simplifying (/ 1 (sqrt 1)) 31.263 * * [simplify]: iters left: 3 (3 enodes) 31.268 * * [simplify]: iters left: 2 (11 enodes) 31.269 * * [simplify]: iters left: 1 (13 enodes) 31.271 * * [simplify]: Extracting #0: cost 1 inf + 0 31.271 * * [simplify]: Extracting #1: cost 0 inf + 1 31.271 * [simplify]: Simplified to 1 31.271 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.271 * [simplify]: Simplifying (/ 1 (sqrt k)) 31.272 * * [simplify]: iters left: 3 (4 enodes) 31.273 * * [simplify]: iters left: 2 (14 enodes) 31.275 * * [simplify]: iters left: 1 (16 enodes) 31.277 * * [simplify]: Extracting #0: cost 1 inf + 0 31.277 * * [simplify]: Extracting #1: cost 4 inf + 0 31.277 * * [simplify]: Extracting #2: cost 5 inf + 1 31.277 * * [simplify]: Extracting #3: cost 3 inf + 43 31.277 * * [simplify]: Extracting #4: cost 1 inf + 166 31.277 * * [simplify]: Extracting #5: cost 0 inf + 248 31.278 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.278 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.278 * * * * [progress]: [ 76 / 197 ] simplifiying candidate # 31.278 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.278 * * [simplify]: iters left: 4 (5 enodes) 31.279 * * [simplify]: iters left: 3 (17 enodes) 31.282 * * [simplify]: iters left: 2 (19 enodes) 31.286 * * [simplify]: Extracting #0: cost 1 inf + 0 31.286 * * [simplify]: Extracting #1: cost 4 inf + 0 31.286 * * [simplify]: Extracting #2: cost 5 inf + 1 31.286 * * [simplify]: Extracting #3: cost 7 inf + 1 31.287 * * [simplify]: Extracting #4: cost 0 inf + 490 31.287 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.287 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.287 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 31.287 * * [simplify]: iters left: 4 (5 enodes) 31.288 * * [simplify]: iters left: 3 (17 enodes) 31.291 * * [simplify]: iters left: 2 (19 enodes) 31.295 * * [simplify]: Extracting #0: cost 1 inf + 0 31.295 * * [simplify]: Extracting #1: cost 4 inf + 0 31.295 * * [simplify]: Extracting #2: cost 5 inf + 1 31.295 * * [simplify]: Extracting #3: cost 7 inf + 1 31.295 * * [simplify]: Extracting #4: cost 0 inf + 490 31.296 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 31.296 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))) 31.296 * * * * [progress]: [ 77 / 197 ] simplifiying candidate # 31.296 * [simplify]: Simplifying (/ 1 1) 31.296 * * [simplify]: iters left: 2 (2 enodes) 31.297 * * [simplify]: iters left: 1 (6 enodes) 31.299 * * [simplify]: Extracting #0: cost 1 inf + 0 31.299 * * [simplify]: Extracting #1: cost 0 inf + 1 31.299 * [simplify]: Simplified to 1 31.300 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.300 * [simplify]: Simplifying (/ 1 (sqrt k)) 31.300 * * [simplify]: iters left: 3 (4 enodes) 31.302 * * [simplify]: iters left: 2 (14 enodes) 31.307 * * [simplify]: iters left: 1 (16 enodes) 31.312 * * [simplify]: Extracting #0: cost 1 inf + 0 31.312 * * [simplify]: Extracting #1: cost 4 inf + 0 31.312 * * [simplify]: Extracting #2: cost 5 inf + 1 31.312 * * [simplify]: Extracting #3: cost 3 inf + 43 31.312 * * [simplify]: Extracting #4: cost 1 inf + 166 31.312 * * [simplify]: Extracting #5: cost 0 inf + 248 31.312 * [simplify]: Simplified to (/ 1 (sqrt k)) 31.312 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* 1 (/ 1 (sqrt k))))) 31.312 * * * * [progress]: [ 78 / 197 ] simplifiying candidate # 31.312 * * * * [progress]: [ 79 / 197 ] simplifiying candidate # 31.313 * * * * [progress]: [ 80 / 197 ] simplifiying candidate # 31.313 * * * * [progress]: [ 81 / 197 ] simplifiying candidate # 31.313 * [simplify]: Simplifying (cbrt (sqrt k)) 31.313 * * [simplify]: iters left: 2 (3 enodes) 31.314 * * [simplify]: iters left: 1 (9 enodes) 31.317 * * [simplify]: Extracting #0: cost 1 inf + 0 31.317 * * [simplify]: Extracting #1: cost 3 inf + 0 31.317 * * [simplify]: Extracting #2: cost 5 inf + 0 31.317 * * [simplify]: Extracting #3: cost 4 inf + 1 31.317 * * [simplify]: Extracting #4: cost 0 inf + 325 31.317 * [simplify]: Simplified to (cbrt (sqrt k)) 31.317 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 31.318 * * * * [progress]: [ 82 / 197 ] simplifiying candidate # 31.318 * [simplify]: Simplifying (sqrt (cbrt k)) 31.318 * * [simplify]: iters left: 2 (3 enodes) 31.319 * * [simplify]: iters left: 1 (9 enodes) 31.322 * * [simplify]: Extracting #0: cost 1 inf + 0 31.322 * * [simplify]: Extracting #1: cost 3 inf + 0 31.322 * * [simplify]: Extracting #2: cost 5 inf + 0 31.322 * * [simplify]: Extracting #3: cost 4 inf + 1 31.322 * * [simplify]: Extracting #4: cost 0 inf + 405 31.322 * [simplify]: Simplified to (sqrt (cbrt k)) 31.322 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))) 31.323 * * * * [progress]: [ 83 / 197 ] simplifiying candidate # 31.323 * [simplify]: Simplifying (sqrt (sqrt k)) 31.323 * * [simplify]: iters left: 2 (3 enodes) 31.324 * * [simplify]: iters left: 1 (9 enodes) 31.327 * * [simplify]: Extracting #0: cost 1 inf + 0 31.327 * * [simplify]: Extracting #1: cost 3 inf + 0 31.327 * * [simplify]: Extracting #2: cost 5 inf + 0 31.327 * * [simplify]: Extracting #3: cost 4 inf + 1 31.327 * * [simplify]: Extracting #4: cost 0 inf + 245 31.327 * [simplify]: Simplified to (sqrt (sqrt k)) 31.327 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 31.327 * * * * [progress]: [ 84 / 197 ] simplifiying candidate # 31.327 * [simplify]: Simplifying (sqrt k) 31.328 * * [simplify]: iters left: 1 (2 enodes) 31.328 * * [simplify]: Extracting #0: cost 1 inf + 0 31.328 * * [simplify]: Extracting #1: cost 3 inf + 0 31.328 * * [simplify]: Extracting #2: cost 2 inf + 1 31.329 * * [simplify]: Extracting #3: cost 0 inf + 83 31.329 * [simplify]: Simplified to (sqrt k) 31.329 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt 1)) (sqrt k)))) 31.329 * * * * [progress]: [ 85 / 197 ] simplifiying candidate # 31.329 * [simplify]: Simplifying (sqrt (sqrt k)) 31.329 * * [simplify]: iters left: 2 (3 enodes) 31.330 * * [simplify]: iters left: 1 (9 enodes) 31.333 * * [simplify]: Extracting #0: cost 1 inf + 0 31.333 * * [simplify]: Extracting #1: cost 3 inf + 0 31.333 * * [simplify]: Extracting #2: cost 5 inf + 0 31.333 * * [simplify]: Extracting #3: cost 4 inf + 1 31.333 * * [simplify]: Extracting #4: cost 0 inf + 245 31.333 * [simplify]: Simplified to (sqrt (sqrt k)) 31.333 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 31.333 * * * * [progress]: [ 86 / 197 ] simplifiying candidate # 31.334 * [simplify]: Simplifying (sqrt k) 31.334 * * [simplify]: iters left: 1 (2 enodes) 31.335 * * [simplify]: Extracting #0: cost 1 inf + 0 31.335 * * [simplify]: Extracting #1: cost 3 inf + 0 31.335 * * [simplify]: Extracting #2: cost 2 inf + 1 31.335 * * [simplify]: Extracting #3: cost 0 inf + 83 31.335 * [simplify]: Simplified to (sqrt k) 31.335 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (/ 1 1) (sqrt k)))) 31.335 * * * * [progress]: [ 87 / 197 ] simplifiying candidate # 31.335 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 31.336 * * [simplify]: iters left: 3 (3 enodes) 31.343 * * [simplify]: iters left: 2 (11 enodes) 31.346 * * [simplify]: iters left: 1 (13 enodes) 31.349 * * [simplify]: Extracting #0: cost 1 inf + 0 31.349 * * [simplify]: Extracting #1: cost 0 inf + 1 31.349 * [simplify]: Simplified to 1 31.349 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (cbrt 1))))) 31.349 * * * * [progress]: [ 88 / 197 ] simplifiying candidate # 31.350 * [simplify]: Simplifying (sqrt 1) 31.350 * * [simplify]: iters left: 1 (2 enodes) 31.353 * * [simplify]: Extracting #0: cost 1 inf + 0 31.353 * * [simplify]: Extracting #1: cost 0 inf + 1 31.353 * [simplify]: Simplified to 1 31.353 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (sqrt 1))))) 31.353 * * * * [progress]: [ 89 / 197 ] simplifiying candidate # 31.353 * * * * [progress]: [ 90 / 197 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k))))))> 31.353 * * * * [progress]: [ 91 / 197 ] simplifiying candidate # 31.353 * * * * [progress]: [ 92 / 197 ] simplifiying candidate # 31.353 * * * * [progress]: [ 93 / 197 ] simplifiying candidate # 31.353 * [simplify]: Simplifying (* n (* 2 PI)) 31.353 * * [simplify]: iters left: 4 (5 enodes) 31.356 * * [simplify]: iters left: 3 (19 enodes) 31.362 * * [simplify]: iters left: 2 (27 enodes) 31.370 * * [simplify]: iters left: 1 (32 enodes) 31.378 * * [simplify]: Extracting #0: cost 1 inf + 0 31.379 * * [simplify]: Extracting #1: cost 8 inf + 0 31.379 * * [simplify]: Extracting #2: cost 7 inf + 45 31.379 * * [simplify]: Extracting #3: cost 0 inf + 421 31.379 * [simplify]: Simplified to (* (* PI 2) n) 31.379 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.379 * * * * [progress]: [ 94 / 197 ] simplifiying candidate # 31.380 * [simplify]: Simplifying (* n (* 2 PI)) 31.380 * * [simplify]: iters left: 4 (5 enodes) 31.383 * * [simplify]: iters left: 3 (19 enodes) 31.387 * * [simplify]: iters left: 2 (27 enodes) 31.391 * * [simplify]: iters left: 1 (32 enodes) 31.396 * * [simplify]: Extracting #0: cost 1 inf + 0 31.396 * * [simplify]: Extracting #1: cost 8 inf + 0 31.396 * * [simplify]: Extracting #2: cost 7 inf + 45 31.396 * * [simplify]: Extracting #3: cost 0 inf + 421 31.396 * [simplify]: Simplified to (* (* PI 2) n) 31.396 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.396 * * * * [progress]: [ 95 / 197 ] simplifiying candidate # 31.396 * * * * [progress]: [ 96 / 197 ] simplifiying candidate # 31.396 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 31.397 * * [simplify]: iters left: 5 (8 enodes) 31.399 * * [simplify]: iters left: 4 (28 enodes) 31.404 * * [simplify]: iters left: 3 (36 enodes) 31.409 * * [simplify]: iters left: 2 (42 enodes) 31.419 * * [simplify]: Extracting #0: cost 1 inf + 0 31.420 * * [simplify]: Extracting #1: cost 8 inf + 0 31.420 * * [simplify]: Extracting #2: cost 17 inf + 0 31.420 * * [simplify]: Extracting #3: cost 12 inf + 145 31.420 * * [simplify]: Extracting #4: cost 5 inf + 1197 31.421 * * [simplify]: Extracting #5: cost 1 inf + 1925 31.421 * * [simplify]: Extracting #6: cost 0 inf + 2107 31.422 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 31.422 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.423 * * * * [progress]: [ 97 / 197 ] simplifiying candidate # 31.423 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 31.423 * * [simplify]: iters left: 5 (7 enodes) 31.427 * * [simplify]: iters left: 4 (26 enodes) 31.435 * * [simplify]: iters left: 3 (35 enodes) 31.446 * * [simplify]: iters left: 2 (44 enodes) 31.458 * * [simplify]: Extracting #0: cost 1 inf + 0 31.458 * * [simplify]: Extracting #1: cost 8 inf + 0 31.458 * * [simplify]: Extracting #2: cost 18 inf + 0 31.459 * * [simplify]: Extracting #3: cost 15 inf + 74 31.459 * * [simplify]: Extracting #4: cost 8 inf + 554 31.459 * * [simplify]: Extracting #5: cost 0 inf + 1911 31.460 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 31.460 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.460 * * * * [progress]: [ 98 / 197 ] simplifiying candidate # 31.460 * * * * [progress]: [ 99 / 197 ] simplifiying candidate # 31.460 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 31.460 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 31.461 * * [simplify]: iters left: 6 (11 enodes) 31.469 * * [simplify]: iters left: 5 (48 enodes) 31.488 * * [simplify]: iters left: 4 (121 enodes) 31.546 * * [simplify]: iters left: 3 (348 enodes) 31.808 * * [simplify]: Extracting #0: cost 1 inf + 0 31.808 * * [simplify]: Extracting #1: cost 67 inf + 0 31.809 * * [simplify]: Extracting #2: cost 165 inf + 786 31.815 * * [simplify]: Extracting #3: cost 85 inf + 10177 31.823 * * [simplify]: Extracting #4: cost 9 inf + 26399 31.830 * * [simplify]: Extracting #5: cost 0 inf + 28546 31.836 * * [simplify]: Extracting #6: cost 0 inf + 28506 31.850 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 31.850 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 31.850 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 31.850 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 31.850 * * [simplify]: iters left: 6 (9 enodes) 31.857 * * [simplify]: iters left: 5 (45 enodes) 31.874 * * [simplify]: iters left: 4 (117 enodes) 31.911 * * [simplify]: iters left: 3 (374 enodes) 32.227 * * [simplify]: Extracting #0: cost 1 inf + 0 32.227 * * [simplify]: Extracting #1: cost 77 inf + 0 32.229 * * [simplify]: Extracting #2: cost 184 inf + 984 32.236 * * [simplify]: Extracting #3: cost 106 inf + 11690 32.253 * * [simplify]: Extracting #4: cost 6 inf + 30376 32.271 * * [simplify]: Extracting #5: cost 0 inf + 31644 32.294 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 32.294 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.294 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 32.294 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 32.294 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 32.294 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 32.294 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 32.294 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 32.295 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 32.295 * * [simplify]: iters left: 3 (3 enodes) 32.296 * * [simplify]: iters left: 2 (9 enodes) 32.299 * * [simplify]: Extracting #0: cost 1 inf + 0 32.299 * * [simplify]: Extracting #1: cost 3 inf + 0 32.299 * * [simplify]: Extracting #2: cost 5 inf + 0 32.299 * * [simplify]: Extracting #3: cost 4 inf + 1 32.299 * * [simplify]: Extracting #4: cost 0 inf + 405 32.299 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 32.299 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.299 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 32.300 * [simplify]: Simplifying (sqrt n) 32.300 * * [simplify]: iters left: 1 (2 enodes) 32.301 * * [simplify]: Extracting #0: cost 1 inf + 0 32.301 * * [simplify]: Extracting #1: cost 3 inf + 0 32.301 * * [simplify]: Extracting #2: cost 2 inf + 1 32.301 * * [simplify]: Extracting #3: cost 0 inf + 83 32.301 * [simplify]: Simplified to (sqrt n) 32.301 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 32.301 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 32.301 * * * * [progress]: [ 110 / 197 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (/ 1 (sqrt k))))> 32.301 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 32.301 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 32.301 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 32.301 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 32.301 * * * * [progress]: [ 115 / 197 ] simplifiying candidate # 32.302 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 32.302 * * [simplify]: iters left: 6 (17 enodes) 32.311 * * [simplify]: iters left: 5 (69 enodes) 32.333 * * [simplify]: iters left: 4 (113 enodes) 32.382 * * [simplify]: iters left: 3 (306 enodes) 32.521 * * [simplify]: Extracting #0: cost 1 inf + 0 32.521 * * [simplify]: Extracting #1: cost 34 inf + 0 32.522 * * [simplify]: Extracting #2: cost 91 inf + 0 32.523 * * [simplify]: Extracting #3: cost 140 inf + 147 32.526 * * [simplify]: Extracting #4: cost 120 inf + 7792 32.539 * * [simplify]: Extracting #5: cost 19 inf + 37202 32.558 * * [simplify]: Extracting #6: cost 0 inf + 44869 32.577 * * [simplify]: Extracting #7: cost 0 inf + 44867 32.596 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 32.596 * [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))))) 32.596 * * * * [progress]: [ 116 / 197 ] simplifiying candidate # 32.596 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 32.596 * * [simplify]: iters left: 6 (18 enodes) 32.607 * * [simplify]: iters left: 5 (74 enodes) 32.623 * * [simplify]: iters left: 4 (131 enodes) 32.670 * * [simplify]: iters left: 3 (343 enodes) 32.836 * * [simplify]: Extracting #0: cost 1 inf + 0 32.837 * * [simplify]: Extracting #1: cost 36 inf + 0 32.838 * * [simplify]: Extracting #2: cost 135 inf + 1 32.839 * * [simplify]: Extracting #3: cost 182 inf + 442 32.844 * * [simplify]: Extracting #4: cost 152 inf + 12475 32.863 * * [simplify]: Extracting #5: cost 17 inf + 54342 32.888 * * [simplify]: Extracting #6: cost 0 inf + 60687 32.914 * * [simplify]: Extracting #7: cost 0 inf + 60680 32.940 * * [simplify]: Extracting #8: cost 0 inf + 60677 32.969 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 32.969 * [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))))) 32.969 * * * * [progress]: [ 117 / 197 ] simplifiying candidate # 32.970 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 32.970 * * [simplify]: iters left: 6 (18 enodes) 32.980 * * [simplify]: iters left: 5 (75 enodes) 32.997 * * [simplify]: iters left: 4 (121 enodes) 33.032 * * [simplify]: iters left: 3 (324 enodes) 33.193 * * [simplify]: Extracting #0: cost 1 inf + 0 33.194 * * [simplify]: Extracting #1: cost 53 inf + 0 33.195 * * [simplify]: Extracting #2: cost 117 inf + 1 33.196 * * [simplify]: Extracting #3: cost 165 inf + 401 33.200 * * [simplify]: Extracting #4: cost 136 inf + 12136 33.216 * * [simplify]: Extracting #5: cost 31 inf + 46348 33.228 * * [simplify]: Extracting #6: cost 0 inf + 57454 33.239 * * [simplify]: Extracting #7: cost 0 inf + 57352 33.254 * * [simplify]: Extracting #8: cost 0 inf + 57351 33.282 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))) 33.282 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) (log (sqrt k))))) 33.282 * * * * [progress]: [ 118 / 197 ] simplifiying candidate # 33.282 * [simplify]: Simplifying (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 33.283 * * [simplify]: iters left: 6 (17 enodes) 33.293 * * [simplify]: iters left: 5 (72 enodes) 33.317 * * [simplify]: iters left: 4 (119 enodes) 33.367 * * [simplify]: iters left: 3 (314 enodes) 33.502 * * [simplify]: Extracting #0: cost 1 inf + 0 33.502 * * [simplify]: Extracting #1: cost 35 inf + 0 33.503 * * [simplify]: Extracting #2: cost 106 inf + 1 33.503 * * [simplify]: Extracting #3: cost 150 inf + 331 33.506 * * [simplify]: Extracting #4: cost 128 inf + 9031 33.514 * * [simplify]: Extracting #5: cost 15 inf + 44365 33.536 * * [simplify]: Extracting #6: cost 0 inf + 50212 33.558 * * [simplify]: Extracting #7: cost 0 inf + 50196 33.579 * [simplify]: Simplified to (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))) 33.580 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log 2) (+ (log n) (log PI))) (* k (+ (log 2) (+ (log n) (log PI))))) 2) (log (sqrt k))))) 33.580 * * * * [progress]: [ 119 / 197 ] simplifiying candidate # 33.580 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 33.580 * * [simplify]: iters left: 6 (16 enodes) 33.590 * * [simplify]: iters left: 5 (67 enodes) 33.617 * * [simplify]: iters left: 4 (106 enodes) 33.658 * * [simplify]: iters left: 3 (247 enodes) 33.769 * * [simplify]: Extracting #0: cost 1 inf + 0 33.769 * * [simplify]: Extracting #1: cost 29 inf + 0 33.769 * * [simplify]: Extracting #2: cost 82 inf + 0 33.770 * * [simplify]: Extracting #3: cost 116 inf + 575 33.771 * * [simplify]: Extracting #4: cost 103 inf + 6299 33.776 * * [simplify]: Extracting #5: cost 33 inf + 25185 33.783 * * [simplify]: Extracting #6: cost 3 inf + 34801 33.791 * * [simplify]: Extracting #7: cost 0 inf + 35420 33.798 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 33.798 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 33.798 * * * * [progress]: [ 120 / 197 ] simplifiying candidate # 33.799 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 33.799 * * [simplify]: iters left: 6 (17 enodes) 33.804 * * [simplify]: iters left: 5 (72 enodes) 33.819 * * [simplify]: iters left: 4 (124 enodes) 33.855 * * [simplify]: iters left: 3 (283 enodes) 33.983 * * [simplify]: Extracting #0: cost 1 inf + 0 33.983 * * [simplify]: Extracting #1: cost 31 inf + 0 33.984 * * [simplify]: Extracting #2: cost 118 inf + 1 33.984 * * [simplify]: Extracting #3: cost 160 inf + 261 33.986 * * [simplify]: Extracting #4: cost 133 inf + 9328 33.992 * * [simplify]: Extracting #5: cost 43 inf + 34393 34.012 * * [simplify]: Extracting #6: cost 9 inf + 45459 34.033 * * [simplify]: Extracting #7: cost 0 inf + 48148 34.043 * * [simplify]: Extracting #8: cost 0 inf + 47906 34.055 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.055 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.055 * * * * [progress]: [ 121 / 197 ] simplifiying candidate # 34.055 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.056 * * [simplify]: iters left: 6 (17 enodes) 34.066 * * [simplify]: iters left: 5 (73 enodes) 34.090 * * [simplify]: iters left: 4 (114 enodes) 34.139 * * [simplify]: iters left: 3 (265 enodes) 34.274 * * [simplify]: Extracting #0: cost 1 inf + 0 34.274 * * [simplify]: Extracting #1: cost 42 inf + 0 34.275 * * [simplify]: Extracting #2: cost 100 inf + 1 34.275 * * [simplify]: Extracting #3: cost 136 inf + 386 34.276 * * [simplify]: Extracting #4: cost 124 inf + 5458 34.282 * * [simplify]: Extracting #5: cost 38 inf + 29744 34.299 * * [simplify]: Extracting #6: cost 3 inf + 41290 34.317 * * [simplify]: Extracting #7: cost 0 inf + 42504 34.326 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.326 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.327 * * * * [progress]: [ 122 / 197 ] simplifiying candidate # 34.327 * [simplify]: Simplifying (+ (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 34.327 * * [simplify]: iters left: 6 (16 enodes) 34.332 * * [simplify]: iters left: 5 (70 enodes) 34.347 * * [simplify]: iters left: 4 (112 enodes) 34.390 * * [simplify]: iters left: 3 (256 enodes) 34.519 * * [simplify]: Extracting #0: cost 1 inf + 0 34.519 * * [simplify]: Extracting #1: cost 31 inf + 0 34.520 * * [simplify]: Extracting #2: cost 94 inf + 1 34.521 * * [simplify]: Extracting #3: cost 133 inf + 314 34.523 * * [simplify]: Extracting #4: cost 118 inf + 5137 34.533 * * [simplify]: Extracting #5: cost 41 inf + 26009 34.547 * * [simplify]: Extracting #6: cost 8 inf + 36688 34.563 * * [simplify]: Extracting #7: cost 1 inf + 39032 34.580 * * [simplify]: Extracting #8: cost 0 inf + 39377 34.596 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 34.596 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 34.596 * * * * [progress]: [ 123 / 197 ] simplifiying candidate # 34.596 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 34.596 * * [simplify]: iters left: 6 (15 enodes) 34.602 * * [simplify]: iters left: 5 (66 enodes) 34.613 * * [simplify]: iters left: 4 (113 enodes) 34.635 * * [simplify]: iters left: 3 (229 enodes) 34.730 * * [simplify]: Extracting #0: cost 1 inf + 0 34.730 * * [simplify]: Extracting #1: cost 23 inf + 0 34.731 * * [simplify]: Extracting #2: cost 83 inf + 0 34.731 * * [simplify]: Extracting #3: cost 122 inf + 130 34.732 * * [simplify]: Extracting #4: cost 122 inf + 3176 34.735 * * [simplify]: Extracting #5: cost 40 inf + 21068 34.741 * * [simplify]: Extracting #6: cost 2 inf + 30658 34.755 * * [simplify]: Extracting #7: cost 0 inf + 30886 34.768 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 34.768 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 34.768 * * * * [progress]: [ 124 / 197 ] simplifiying candidate # 34.769 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 34.769 * * [simplify]: iters left: 6 (16 enodes) 34.776 * * [simplify]: iters left: 5 (71 enodes) 34.790 * * [simplify]: iters left: 4 (131 enodes) 34.826 * * [simplify]: iters left: 3 (262 enodes) 34.942 * * [simplify]: Extracting #0: cost 1 inf + 0 34.943 * * [simplify]: Extracting #1: cost 27 inf + 0 34.943 * * [simplify]: Extracting #2: cost 112 inf + 1 34.944 * * [simplify]: Extracting #3: cost 151 inf + 302 34.947 * * [simplify]: Extracting #4: cost 142 inf + 5480 34.952 * * [simplify]: Extracting #5: cost 72 inf + 21099 34.959 * * [simplify]: Extracting #6: cost 16 inf + 35543 34.968 * * [simplify]: Extracting #7: cost 0 inf + 40340 34.978 * * [simplify]: Extracting #8: cost 0 inf + 40337 34.987 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 34.987 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 34.987 * * * * [progress]: [ 125 / 197 ] simplifiying candidate # 34.991 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 34.991 * * [simplify]: iters left: 6 (16 enodes) 34.996 * * [simplify]: iters left: 5 (72 enodes) 35.010 * * [simplify]: iters left: 4 (121 enodes) 35.055 * * [simplify]: iters left: 3 (247 enodes) 35.161 * * [simplify]: Extracting #0: cost 1 inf + 0 35.161 * * [simplify]: Extracting #1: cost 33 inf + 0 35.162 * * [simplify]: Extracting #2: cost 97 inf + 1 35.163 * * [simplify]: Extracting #3: cost 133 inf + 373 35.165 * * [simplify]: Extracting #4: cost 123 inf + 5352 35.173 * * [simplify]: Extracting #5: cost 38 inf + 24521 35.181 * * [simplify]: Extracting #6: cost 3 inf + 35147 35.188 * * [simplify]: Extracting #7: cost 0 inf + 35848 35.196 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.196 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.197 * * * * [progress]: [ 126 / 197 ] simplifiying candidate # 35.197 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 35.197 * * [simplify]: iters left: 6 (15 enodes) 35.207 * * [simplify]: iters left: 5 (69 enodes) 35.227 * * [simplify]: iters left: 4 (119 enodes) 35.248 * * [simplify]: iters left: 3 (239 enodes) 35.352 * * [simplify]: Extracting #0: cost 1 inf + 0 35.352 * * [simplify]: Extracting #1: cost 25 inf + 0 35.352 * * [simplify]: Extracting #2: cost 94 inf + 1 35.353 * * [simplify]: Extracting #3: cost 132 inf + 273 35.354 * * [simplify]: Extracting #4: cost 115 inf + 6476 35.359 * * [simplify]: Extracting #5: cost 12 inf + 31154 35.373 * * [simplify]: Extracting #6: cost 0 inf + 34674 35.388 * * [simplify]: Extracting #7: cost 0 inf + 34574 35.402 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.402 * * * * [progress]: [ 127 / 197 ] simplifiying candidate # 35.403 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log (sqrt k)))) 35.403 * * [simplify]: iters left: 6 (15 enodes) 35.411 * * [simplify]: iters left: 5 (66 enodes) 35.439 * * [simplify]: iters left: 4 (113 enodes) 35.479 * * [simplify]: iters left: 3 (229 enodes) 35.564 * * [simplify]: Extracting #0: cost 1 inf + 0 35.564 * * [simplify]: Extracting #1: cost 23 inf + 0 35.565 * * [simplify]: Extracting #2: cost 83 inf + 0 35.565 * * [simplify]: Extracting #3: cost 122 inf + 130 35.567 * * [simplify]: Extracting #4: cost 122 inf + 3176 35.571 * * [simplify]: Extracting #5: cost 40 inf + 21068 35.577 * * [simplify]: Extracting #6: cost 2 inf + 30658 35.584 * * [simplify]: Extracting #7: cost 0 inf + 30886 35.591 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.591 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.591 * * * * [progress]: [ 128 / 197 ] simplifiying candidate # 35.591 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- 0 (log (sqrt k)))) 35.592 * * [simplify]: iters left: 6 (16 enodes) 35.596 * * [simplify]: iters left: 5 (71 enodes) 35.613 * * [simplify]: iters left: 4 (131 enodes) 35.667 * * [simplify]: iters left: 3 (262 enodes) 35.806 * * [simplify]: Extracting #0: cost 1 inf + 0 35.806 * * [simplify]: Extracting #1: cost 27 inf + 0 35.807 * * [simplify]: Extracting #2: cost 112 inf + 1 35.808 * * [simplify]: Extracting #3: cost 151 inf + 302 35.811 * * [simplify]: Extracting #4: cost 142 inf + 5480 35.818 * * [simplify]: Extracting #5: cost 72 inf + 21099 35.832 * * [simplify]: Extracting #6: cost 16 inf + 35543 35.850 * * [simplify]: Extracting #7: cost 0 inf + 40340 35.869 * * [simplify]: Extracting #8: cost 0 inf + 40337 35.887 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 35.887 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 35.887 * * * * [progress]: [ 129 / 197 ] simplifiying candidate # 35.888 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (- (log 1) (log (sqrt k)))) 35.888 * * [simplify]: iters left: 6 (16 enodes) 35.895 * * [simplify]: iters left: 5 (72 enodes) 35.911 * * [simplify]: iters left: 4 (121 enodes) 35.932 * * [simplify]: iters left: 3 (247 enodes) 36.034 * * [simplify]: Extracting #0: cost 1 inf + 0 36.035 * * [simplify]: Extracting #1: cost 33 inf + 0 36.035 * * [simplify]: Extracting #2: cost 97 inf + 1 36.035 * * [simplify]: Extracting #3: cost 133 inf + 373 36.037 * * [simplify]: Extracting #4: cost 123 inf + 5352 36.041 * * [simplify]: Extracting #5: cost 38 inf + 24521 36.048 * * [simplify]: Extracting #6: cost 3 inf + 35147 36.059 * * [simplify]: Extracting #7: cost 0 inf + 35848 36.075 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.075 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.075 * * * * [progress]: [ 130 / 197 ] simplifiying candidate # 36.075 * [simplify]: Simplifying (+ (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (/ 1 (sqrt k)))) 36.076 * * [simplify]: iters left: 6 (15 enodes) 36.083 * * [simplify]: iters left: 5 (69 enodes) 36.097 * * [simplify]: iters left: 4 (119 enodes) 36.117 * * [simplify]: iters left: 3 (239 enodes) 36.198 * * [simplify]: Extracting #0: cost 1 inf + 0 36.198 * * [simplify]: Extracting #1: cost 25 inf + 0 36.199 * * [simplify]: Extracting #2: cost 94 inf + 1 36.200 * * [simplify]: Extracting #3: cost 132 inf + 273 36.203 * * [simplify]: Extracting #4: cost 115 inf + 6476 36.214 * * [simplify]: Extracting #5: cost 12 inf + 31154 36.230 * * [simplify]: Extracting #6: cost 0 inf + 34674 36.245 * * [simplify]: Extracting #7: cost 0 inf + 34574 36.260 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 36.260 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 36.260 * * * * [progress]: [ 131 / 197 ] simplifiying candidate # 36.261 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log (sqrt k)))) 36.261 * * [simplify]: iters left: 6 (15 enodes) 36.269 * * [simplify]: iters left: 5 (64 enodes) 36.292 * * [simplify]: iters left: 4 (112 enodes) 36.319 * * [simplify]: iters left: 3 (215 enodes) 36.391 * * [simplify]: Extracting #0: cost 1 inf + 0 36.392 * * [simplify]: Extracting #1: cost 24 inf + 0 36.392 * * [simplify]: Extracting #2: cost 109 inf + 0 36.393 * * [simplify]: Extracting #3: cost 173 inf + 4 36.395 * * [simplify]: Extracting #4: cost 159 inf + 2128 36.400 * * [simplify]: Extracting #5: cost 86 inf + 16632 36.417 * * [simplify]: Extracting #6: cost 2 inf + 39628 36.431 * * [simplify]: Extracting #7: cost 0 inf + 39658 36.445 * [simplify]: Simplified to (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))) 36.445 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 36.446 * * * * [progress]: [ 132 / 197 ] simplifiying candidate # 36.446 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- 0 (log (sqrt k)))) 36.446 * * [simplify]: iters left: 6 (16 enodes) 36.455 * * [simplify]: iters left: 5 (69 enodes) 36.475 * * [simplify]: iters left: 4 (129 enodes) 36.499 * * [simplify]: iters left: 3 (250 enodes) 36.612 * * [simplify]: Extracting #0: cost 1 inf + 0 36.612 * * [simplify]: Extracting #1: cost 28 inf + 0 36.613 * * [simplify]: Extracting #2: cost 142 inf + 1 36.614 * * [simplify]: Extracting #3: cost 208 inf + 5 36.617 * * [simplify]: Extracting #4: cost 168 inf + 5893 36.628 * * [simplify]: Extracting #5: cost 44 inf + 35824 36.646 * * [simplify]: Extracting #6: cost 2 inf + 50163 36.669 * * [simplify]: Extracting #7: cost 0 inf + 51246 36.687 * [simplify]: Simplified to (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))) 36.687 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* PI 2) n)) (/ 2 (- 1 k))) (log (sqrt k))))) 36.687 * * * * [progress]: [ 133 / 197 ] simplifiying candidate # 36.688 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (log 1) (log (sqrt k)))) 36.688 * * [simplify]: iters left: 6 (16 enodes) 36.698 * * [simplify]: iters left: 5 (70 enodes) 36.722 * * [simplify]: iters left: 4 (119 enodes) 36.764 * * [simplify]: iters left: 3 (239 enodes) 36.830 * * [simplify]: Extracting #0: cost 1 inf + 0 36.830 * * [simplify]: Extracting #1: cost 34 inf + 0 36.831 * * [simplify]: Extracting #2: cost 124 inf + 1 36.832 * * [simplify]: Extracting #3: cost 187 inf + 5 36.834 * * [simplify]: Extracting #4: cost 147 inf + 6512 36.844 * * [simplify]: Extracting #5: cost 34 inf + 32936 36.854 * * [simplify]: Extracting #6: cost 0 inf + 45571 36.862 * * [simplify]: Extracting #7: cost 0 inf + 45374 36.870 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 36.870 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 36.870 * * * * [progress]: [ 134 / 197 ] simplifiying candidate # 36.871 * [simplify]: Simplifying (+ (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (/ 1 (sqrt k)))) 36.871 * * [simplify]: iters left: 6 (15 enodes) 36.875 * * [simplify]: iters left: 5 (67 enodes) 36.891 * * [simplify]: iters left: 4 (118 enodes) 36.931 * * [simplify]: iters left: 3 (225 enodes) 37.038 * * [simplify]: Extracting #0: cost 1 inf + 0 37.038 * * [simplify]: Extracting #1: cost 26 inf + 0 37.039 * * [simplify]: Extracting #2: cost 121 inf + 1 37.040 * * [simplify]: Extracting #3: cost 186 inf + 5 37.042 * * [simplify]: Extracting #4: cost 155 inf + 4693 37.051 * * [simplify]: Extracting #5: cost 39 inf + 29468 37.065 * * [simplify]: Extracting #6: cost 3 inf + 42209 37.073 * * [simplify]: Extracting #7: cost 0 inf + 44155 37.081 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))) 37.081 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k))))) 37.081 * * * * [progress]: [ 135 / 197 ] simplifiying candidate # 37.081 * * * * [progress]: [ 136 / 197 ] simplifiying candidate # 37.081 * * * * [progress]: [ 137 / 197 ] simplifiying candidate # 37.081 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 37.082 * * [simplify]: iters left: 6 (19 enodes) 37.087 * * [simplify]: iters left: 5 (80 enodes) 37.102 * * [simplify]: iters left: 4 (188 enodes) 37.169 * * [simplify]: Extracting #0: cost 1 inf + 0 37.169 * * [simplify]: Extracting #1: cost 50 inf + 0 37.169 * * [simplify]: Extracting #2: cost 145 inf + 206 37.170 * * [simplify]: Extracting #3: cost 157 inf + 1393 37.171 * * [simplify]: Extracting #4: cost 146 inf + 2848 37.176 * * [simplify]: Extracting #5: cost 56 inf + 40587 37.189 * * [simplify]: Extracting #6: cost 0 inf + 73945 37.206 * * [simplify]: Extracting #7: cost 0 inf + 73750 37.227 * [simplify]: Simplified to (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k) 37.227 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) (sqrt k)) k))) 37.228 * * * * [progress]: [ 138 / 197 ] simplifiying candidate # 37.228 * [simplify]: Simplifying (* (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) 37.228 * * [simplify]: iters left: 6 (17 enodes) 37.238 * * [simplify]: iters left: 5 (81 enodes) 37.269 * * [simplify]: iters left: 4 (174 enodes) 37.331 * * [simplify]: iters left: 3 (492 enodes) 37.640 * * [simplify]: Extracting #0: cost 1 inf + 0 37.640 * * [simplify]: Extracting #1: cost 79 inf + 0 37.643 * * [simplify]: Extracting #2: cost 422 inf + 45 37.647 * * [simplify]: Extracting #3: cost 467 inf + 1578 37.652 * * [simplify]: Extracting #4: cost 451 inf + 4029 37.676 * * [simplify]: Extracting #5: cost 241 inf + 124146 37.756 * * [simplify]: Extracting #6: cost 11 inf + 301244 37.808 * * [simplify]: Extracting #7: cost 0 inf + 301839 37.866 * * [simplify]: Extracting #8: cost 0 inf + 300567 37.946 * [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)) 37.946 * [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)))) 37.946 * * * * [progress]: [ 139 / 197 ] simplifiying candidate # 37.947 * * * * [progress]: [ 140 / 197 ] simplifiying candidate # 37.947 * * * * [progress]: [ 141 / 197 ] simplifiying candidate # 37.947 * * * * [progress]: [ 142 / 197 ] simplifiying candidate # 37.947 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) 1) 37.947 * * [simplify]: iters left: 6 (9 enodes) 37.954 * * [simplify]: iters left: 5 (37 enodes) 37.969 * * [simplify]: iters left: 4 (66 enodes) 37.993 * * [simplify]: iters left: 3 (106 enodes) 38.032 * * [simplify]: iters left: 2 (160 enodes) 38.090 * * [simplify]: iters left: 1 (277 enodes) 38.209 * * [simplify]: Extracting #0: cost 1 inf + 0 38.209 * * [simplify]: Extracting #1: cost 18 inf + 0 38.210 * * [simplify]: Extracting #2: cost 67 inf + 3 38.210 * * [simplify]: Extracting #3: cost 72 inf + 11 38.212 * * [simplify]: Extracting #4: cost 58 inf + 2363 38.215 * * [simplify]: Extracting #5: cost 25 inf + 17516 38.224 * * [simplify]: Extracting #6: cost 1 inf + 34423 38.233 * * [simplify]: Extracting #7: cost 0 inf + 35219 38.241 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 38.241 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)))) 38.242 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ k 2)) (sqrt k)) 38.242 * * [simplify]: iters left: 6 (10 enodes) 38.247 * * [simplify]: iters left: 5 (38 enodes) 38.265 * * [simplify]: iters left: 4 (62 enodes) 38.287 * * [simplify]: iters left: 3 (104 enodes) 38.306 * * [simplify]: iters left: 2 (207 enodes) 38.365 * * [simplify]: iters left: 1 (463 enodes) 38.651 * * [simplify]: Extracting #0: cost 1 inf + 0 38.651 * * [simplify]: Extracting #1: cost 54 inf + 0 38.653 * * [simplify]: Extracting #2: cost 171 inf + 0 38.659 * * [simplify]: Extracting #3: cost 210 inf + 45 38.662 * * [simplify]: Extracting #4: cost 181 inf + 4887 38.668 * * [simplify]: Extracting #5: cost 140 inf + 13636 38.688 * * [simplify]: Extracting #6: cost 43 inf + 93420 38.723 * * [simplify]: Extracting #7: cost 0 inf + 133565 38.761 * * [simplify]: Extracting #8: cost 0 inf + 131993 38.797 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)) 38.797 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (pow (* (* PI 2) n) (* 1/2 k)) (sqrt k)))) 38.797 * * * * [progress]: [ 143 / 197 ] simplifiying candidate # 38.798 * * * * [progress]: [ 144 / 197 ] simplifiying candidate # 38.798 * [simplify]: Simplifying (sqrt k) 38.798 * * [simplify]: iters left: 1 (2 enodes) 38.798 * * [simplify]: Extracting #0: cost 1 inf + 0 38.798 * * [simplify]: Extracting #1: cost 3 inf + 0 38.798 * * [simplify]: Extracting #2: cost 2 inf + 1 38.798 * * [simplify]: Extracting #3: cost 0 inf + 83 38.798 * [simplify]: Simplified to (sqrt k) 38.798 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 38.798 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 38.799 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 38.799 * * [simplify]: iters left: 6 (15 enodes) 38.803 * * [simplify]: iters left: 5 (61 enodes) 38.816 * * [simplify]: iters left: 4 (95 enodes) 38.832 * * [simplify]: iters left: 3 (135 enodes) 38.855 * * [simplify]: iters left: 2 (208 enodes) 38.935 * * [simplify]: iters left: 1 (367 enodes) 39.098 * * [simplify]: Extracting #0: cost 1 inf + 0 39.098 * * [simplify]: Extracting #1: cost 4 inf + 0 39.098 * * [simplify]: Extracting #2: cost 9 inf + 0 39.098 * * [simplify]: Extracting #3: cost 40 inf + 0 39.098 * * [simplify]: Extracting #4: cost 123 inf + 2 39.099 * * [simplify]: Extracting #5: cost 149 inf + 428 39.101 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.105 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.113 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.123 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.136 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.154 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.154 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))))) 39.154 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 39.154 * * [simplify]: iters left: 6 (15 enodes) 39.163 * * [simplify]: iters left: 5 (61 enodes) 39.184 * * [simplify]: iters left: 4 (95 enodes) 39.214 * * [simplify]: iters left: 3 (135 enodes) 39.258 * * [simplify]: iters left: 2 (208 enodes) 39.336 * * [simplify]: iters left: 1 (367 enodes) 39.495 * * [simplify]: Extracting #0: cost 1 inf + 0 39.495 * * [simplify]: Extracting #1: cost 4 inf + 0 39.496 * * [simplify]: Extracting #2: cost 9 inf + 0 39.496 * * [simplify]: Extracting #3: cost 40 inf + 0 39.496 * * [simplify]: Extracting #4: cost 123 inf + 2 39.498 * * [simplify]: Extracting #5: cost 149 inf + 428 39.501 * * [simplify]: Extracting #6: cost 95 inf + 7564 39.510 * * [simplify]: Extracting #7: cost 43 inf + 25541 39.530 * * [simplify]: Extracting #8: cost 5 inf + 57306 39.549 * * [simplify]: Extracting #9: cost 0 inf + 61577 39.568 * * [simplify]: Extracting #10: cost 0 inf + 61496 39.586 * [simplify]: Simplified to (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))) 39.586 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 39.586 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 39.587 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.587 * * [simplify]: iters left: 6 (16 enodes) 39.597 * * [simplify]: iters left: 5 (66 enodes) 39.607 * * [simplify]: iters left: 4 (106 enodes) 39.624 * * [simplify]: iters left: 3 (151 enodes) 39.663 * * [simplify]: iters left: 2 (225 enodes) 39.708 * * [simplify]: iters left: 1 (378 enodes) 39.799 * * [simplify]: Extracting #0: cost 1 inf + 0 39.799 * * [simplify]: Extracting #1: cost 7 inf + 0 39.799 * * [simplify]: Extracting #2: cost 13 inf + 1 39.799 * * [simplify]: Extracting #3: cost 42 inf + 1 39.799 * * [simplify]: Extracting #4: cost 113 inf + 125 39.800 * * [simplify]: Extracting #5: cost 140 inf + 1039 39.802 * * [simplify]: Extracting #6: cost 89 inf + 7670 39.807 * * [simplify]: Extracting #7: cost 37 inf + 28450 39.819 * * [simplify]: Extracting #8: cost 2 inf + 56186 39.838 * * [simplify]: Extracting #9: cost 0 inf + 57532 39.849 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 39.849 * [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)))))) 39.849 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 39.850 * * [simplify]: iters left: 6 (16 enodes) 39.855 * * [simplify]: iters left: 5 (66 enodes) 39.865 * * [simplify]: iters left: 4 (106 enodes) 39.886 * * [simplify]: iters left: 3 (151 enodes) 39.924 * * [simplify]: iters left: 2 (225 enodes) 39.977 * * [simplify]: iters left: 1 (378 enodes) 40.105 * * [simplify]: Extracting #0: cost 1 inf + 0 40.106 * * [simplify]: Extracting #1: cost 7 inf + 0 40.106 * * [simplify]: Extracting #2: cost 13 inf + 1 40.106 * * [simplify]: Extracting #3: cost 42 inf + 1 40.106 * * [simplify]: Extracting #4: cost 113 inf + 125 40.107 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.109 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.114 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.122 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.132 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.142 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.142 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.142 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 40.142 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.142 * * [simplify]: iters left: 6 (16 enodes) 40.148 * * [simplify]: iters left: 5 (66 enodes) 40.159 * * [simplify]: iters left: 4 (106 enodes) 40.196 * * [simplify]: iters left: 3 (151 enodes) 40.241 * * [simplify]: iters left: 2 (225 enodes) 40.326 * * [simplify]: iters left: 1 (378 enodes) 40.455 * * [simplify]: Extracting #0: cost 1 inf + 0 40.455 * * [simplify]: Extracting #1: cost 7 inf + 0 40.455 * * [simplify]: Extracting #2: cost 13 inf + 1 40.456 * * [simplify]: Extracting #3: cost 42 inf + 1 40.456 * * [simplify]: Extracting #4: cost 113 inf + 125 40.457 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.459 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.464 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.473 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.483 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.492 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))))) 40.493 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) 40.493 * * [simplify]: iters left: 6 (16 enodes) 40.498 * * [simplify]: iters left: 5 (66 enodes) 40.518 * * [simplify]: iters left: 4 (106 enodes) 40.552 * * [simplify]: iters left: 3 (151 enodes) 40.599 * * [simplify]: iters left: 2 (225 enodes) 40.682 * * [simplify]: iters left: 1 (378 enodes) 40.824 * * [simplify]: Extracting #0: cost 1 inf + 0 40.824 * * [simplify]: Extracting #1: cost 7 inf + 0 40.824 * * [simplify]: Extracting #2: cost 13 inf + 1 40.825 * * [simplify]: Extracting #3: cost 42 inf + 1 40.825 * * [simplify]: Extracting #4: cost 113 inf + 125 40.827 * * [simplify]: Extracting #5: cost 140 inf + 1039 40.831 * * [simplify]: Extracting #6: cost 89 inf + 7670 40.840 * * [simplify]: Extracting #7: cost 37 inf + 28450 40.858 * * [simplify]: Extracting #8: cost 2 inf + 56186 40.877 * * [simplify]: Extracting #9: cost 0 inf + 57532 40.887 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 40.887 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 40.887 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 40.887 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 40.887 * * [simplify]: iters left: 6 (15 enodes) 40.896 * * [simplify]: iters left: 5 (63 enodes) 40.906 * * [simplify]: iters left: 4 (101 enodes) 40.923 * * [simplify]: iters left: 3 (147 enodes) 40.954 * * [simplify]: iters left: 2 (218 enodes) 41.008 * * [simplify]: iters left: 1 (379 enodes) 41.162 * * [simplify]: Extracting #0: cost 1 inf + 0 41.162 * * [simplify]: Extracting #1: cost 7 inf + 0 41.162 * * [simplify]: Extracting #2: cost 13 inf + 1 41.162 * * [simplify]: Extracting #3: cost 42 inf + 1 41.163 * * [simplify]: Extracting #4: cost 116 inf + 369 41.164 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.169 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.180 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.190 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.204 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.214 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.224 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.235 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.245 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.246 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 41.246 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.246 * * [simplify]: iters left: 6 (15 enodes) 41.250 * * [simplify]: iters left: 5 (63 enodes) 41.264 * * [simplify]: iters left: 4 (101 enodes) 41.297 * * [simplify]: iters left: 3 (147 enodes) 41.339 * * [simplify]: iters left: 2 (218 enodes) 41.393 * * [simplify]: iters left: 1 (379 enodes) 41.515 * * [simplify]: Extracting #0: cost 1 inf + 0 41.515 * * [simplify]: Extracting #1: cost 7 inf + 0 41.515 * * [simplify]: Extracting #2: cost 13 inf + 1 41.515 * * [simplify]: Extracting #3: cost 42 inf + 1 41.516 * * [simplify]: Extracting #4: cost 116 inf + 369 41.517 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.519 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.526 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.537 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.546 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.556 * * [simplify]: Extracting #10: cost 0 inf + 58429 41.577 * * [simplify]: Extracting #11: cost 0 inf + 57511 41.602 * * [simplify]: Extracting #12: cost 0 inf + 57420 41.616 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 41.616 * [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))))) 41.616 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 41.616 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 41.617 * * [simplify]: iters left: 6 (15 enodes) 41.625 * * [simplify]: iters left: 5 (63 enodes) 41.647 * * [simplify]: iters left: 4 (101 enodes) 41.679 * * [simplify]: iters left: 3 (147 enodes) 41.702 * * [simplify]: iters left: 2 (218 enodes) 41.762 * * [simplify]: iters left: 1 (379 enodes) 41.901 * * [simplify]: Extracting #0: cost 1 inf + 0 41.901 * * [simplify]: Extracting #1: cost 7 inf + 0 41.902 * * [simplify]: Extracting #2: cost 13 inf + 1 41.902 * * [simplify]: Extracting #3: cost 42 inf + 1 41.903 * * [simplify]: Extracting #4: cost 116 inf + 369 41.904 * * [simplify]: Extracting #5: cost 131 inf + 1622 41.909 * * [simplify]: Extracting #6: cost 72 inf + 13805 41.928 * * [simplify]: Extracting #7: cost 15 inf + 47860 41.947 * * [simplify]: Extracting #8: cost 0 inf + 61860 41.967 * * [simplify]: Extracting #9: cost 0 inf + 60325 41.986 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.007 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.027 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.049 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.049 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))))) 42.049 * [simplify]: Simplifying (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) 42.049 * * [simplify]: iters left: 6 (15 enodes) 42.058 * * [simplify]: iters left: 5 (63 enodes) 42.080 * * [simplify]: iters left: 4 (101 enodes) 42.115 * * [simplify]: iters left: 3 (147 enodes) 42.161 * * [simplify]: iters left: 2 (218 enodes) 42.243 * * [simplify]: iters left: 1 (379 enodes) 42.379 * * [simplify]: Extracting #0: cost 1 inf + 0 42.379 * * [simplify]: Extracting #1: cost 7 inf + 0 42.379 * * [simplify]: Extracting #2: cost 13 inf + 1 42.380 * * [simplify]: Extracting #3: cost 42 inf + 1 42.380 * * [simplify]: Extracting #4: cost 116 inf + 369 42.381 * * [simplify]: Extracting #5: cost 131 inf + 1622 42.383 * * [simplify]: Extracting #6: cost 72 inf + 13805 42.393 * * [simplify]: Extracting #7: cost 15 inf + 47860 42.412 * * [simplify]: Extracting #8: cost 0 inf + 61860 42.432 * * [simplify]: Extracting #9: cost 0 inf + 60325 42.452 * * [simplify]: Extracting #10: cost 0 inf + 58429 42.476 * * [simplify]: Extracting #11: cost 0 inf + 57511 42.497 * * [simplify]: Extracting #12: cost 0 inf + 57420 42.518 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 42.519 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 42.519 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 42.519 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 42.519 * * [simplify]: iters left: 6 (15 enodes) 42.528 * * [simplify]: iters left: 5 (64 enodes) 42.550 * * [simplify]: iters left: 4 (104 enodes) 42.585 * * [simplify]: iters left: 3 (167 enodes) 42.648 * * [simplify]: iters left: 2 (322 enodes) 42.746 * * [simplify]: Extracting #0: cost 1 inf + 0 42.746 * * [simplify]: Extracting #1: cost 34 inf + 0 42.747 * * [simplify]: Extracting #2: cost 104 inf + 0 42.747 * * [simplify]: Extracting #3: cost 158 inf + 2 42.748 * * [simplify]: Extracting #4: cost 169 inf + 181 42.750 * * [simplify]: Extracting #5: cost 138 inf + 4240 42.752 * * [simplify]: Extracting #6: cost 86 inf + 12902 42.762 * * [simplify]: Extracting #7: cost 20 inf + 56686 42.783 * * [simplify]: Extracting #8: cost 0 inf + 73863 42.798 * * [simplify]: Extracting #9: cost 0 inf + 73230 42.809 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 42.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))))) 42.810 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) 42.810 * * [simplify]: iters left: 6 (15 enodes) 42.814 * * [simplify]: iters left: 5 (64 enodes) 42.833 * * [simplify]: iters left: 4 (104 enodes) 42.867 * * [simplify]: iters left: 3 (167 enodes) 42.920 * * [simplify]: iters left: 2 (322 enodes) 43.036 * * [simplify]: Extracting #0: cost 1 inf + 0 43.036 * * [simplify]: Extracting #1: cost 34 inf + 0 43.037 * * [simplify]: Extracting #2: cost 104 inf + 0 43.038 * * [simplify]: Extracting #3: cost 158 inf + 2 43.039 * * [simplify]: Extracting #4: cost 169 inf + 181 43.041 * * [simplify]: Extracting #5: cost 138 inf + 4240 43.047 * * [simplify]: Extracting #6: cost 86 inf + 12902 43.061 * * [simplify]: Extracting #7: cost 20 inf + 56686 43.086 * * [simplify]: Extracting #8: cost 0 inf + 73863 43.107 * * [simplify]: Extracting #9: cost 0 inf + 73230 43.128 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 43.128 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (/ 1 (sqrt k)))) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))))) 43.128 * * * * [progress]: [ 151 / 197 ] simplifiying candidate # 43.129 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.129 * * [simplify]: iters left: 6 (16 enodes) 43.140 * * [simplify]: iters left: 5 (69 enodes) 43.164 * * [simplify]: iters left: 4 (113 enodes) 43.202 * * [simplify]: iters left: 3 (191 enodes) 43.280 * * [simplify]: iters left: 2 (381 enodes) 43.429 * * [simplify]: Extracting #0: cost 1 inf + 0 43.429 * * [simplify]: Extracting #1: cost 36 inf + 0 43.429 * * [simplify]: Extracting #2: cost 108 inf + 1 43.430 * * [simplify]: Extracting #3: cost 166 inf + 2 43.431 * * [simplify]: Extracting #4: cost 168 inf + 639 43.432 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.438 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.453 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.477 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.501 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.501 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 43.501 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.501 * * [simplify]: iters left: 6 (16 enodes) 43.512 * * [simplify]: iters left: 5 (69 enodes) 43.535 * * [simplify]: iters left: 4 (113 enodes) 43.567 * * [simplify]: iters left: 3 (191 enodes) 43.624 * * [simplify]: iters left: 2 (381 enodes) 43.758 * * [simplify]: Extracting #0: cost 1 inf + 0 43.758 * * [simplify]: Extracting #1: cost 36 inf + 0 43.759 * * [simplify]: Extracting #2: cost 108 inf + 1 43.760 * * [simplify]: Extracting #3: cost 166 inf + 2 43.761 * * [simplify]: Extracting #4: cost 168 inf + 639 43.765 * * [simplify]: Extracting #5: cost 117 inf + 7263 43.776 * * [simplify]: Extracting #6: cost 47 inf + 36706 43.804 * * [simplify]: Extracting #7: cost 3 inf + 72435 43.827 * * [simplify]: Extracting #8: cost 0 inf + 75548 43.851 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 43.851 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 43.851 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 43.852 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 43.852 * * [simplify]: iters left: 6 (16 enodes) 43.861 * * [simplify]: iters left: 5 (69 enodes) 43.873 * * [simplify]: iters left: 4 (113 enodes) 43.894 * * [simplify]: iters left: 3 (191 enodes) 43.948 * * [simplify]: iters left: 2 (381 enodes) 44.076 * * [simplify]: Extracting #0: cost 1 inf + 0 44.076 * * [simplify]: Extracting #1: cost 36 inf + 0 44.076 * * [simplify]: Extracting #2: cost 108 inf + 1 44.077 * * [simplify]: Extracting #3: cost 166 inf + 2 44.078 * * [simplify]: Extracting #4: cost 168 inf + 639 44.080 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.090 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.101 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.118 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.130 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.130 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))))) 44.130 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) 44.130 * * [simplify]: iters left: 6 (16 enodes) 44.136 * * [simplify]: iters left: 5 (69 enodes) 44.148 * * [simplify]: iters left: 4 (113 enodes) 44.171 * * [simplify]: iters left: 3 (191 enodes) 44.214 * * [simplify]: iters left: 2 (381 enodes) 44.376 * * [simplify]: Extracting #0: cost 1 inf + 0 44.376 * * [simplify]: Extracting #1: cost 36 inf + 0 44.376 * * [simplify]: Extracting #2: cost 108 inf + 1 44.377 * * [simplify]: Extracting #3: cost 166 inf + 2 44.378 * * [simplify]: Extracting #4: cost 168 inf + 639 44.382 * * [simplify]: Extracting #5: cost 117 inf + 7263 44.399 * * [simplify]: Extracting #6: cost 47 inf + 36706 44.413 * * [simplify]: Extracting #7: cost 3 inf + 72435 44.425 * * [simplify]: Extracting #8: cost 0 inf + 75548 44.438 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.438 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 44.438 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 44.438 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.439 * * [simplify]: iters left: 6 (15 enodes) 44.447 * * [simplify]: iters left: 5 (66 enodes) 44.471 * * [simplify]: iters left: 4 (112 enodes) 44.514 * * [simplify]: iters left: 3 (196 enodes) 44.565 * * [simplify]: iters left: 2 (392 enodes) 44.738 * * [simplify]: Extracting #0: cost 1 inf + 0 44.738 * * [simplify]: Extracting #1: cost 39 inf + 0 44.739 * * [simplify]: Extracting #2: cost 125 inf + 1 44.740 * * [simplify]: Extracting #3: cost 179 inf + 3 44.742 * * [simplify]: Extracting #4: cost 182 inf + 432 44.746 * * [simplify]: Extracting #5: cost 135 inf + 7467 44.753 * * [simplify]: Extracting #6: cost 58 inf + 40786 44.766 * * [simplify]: Extracting #7: cost 2 inf + 84070 44.784 * * [simplify]: Extracting #8: cost 0 inf + 84912 44.806 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 44.806 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 44.806 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 44.806 * * [simplify]: iters left: 6 (15 enodes) 44.811 * * [simplify]: iters left: 5 (66 enodes) 44.824 * * [simplify]: iters left: 4 (112 enodes) 44.859 * * [simplify]: iters left: 3 (196 enodes) 44.921 * * [simplify]: iters left: 2 (392 enodes) 45.093 * * [simplify]: Extracting #0: cost 1 inf + 0 45.094 * * [simplify]: Extracting #1: cost 39 inf + 0 45.095 * * [simplify]: Extracting #2: cost 125 inf + 1 45.096 * * [simplify]: Extracting #3: cost 179 inf + 3 45.098 * * [simplify]: Extracting #4: cost 182 inf + 432 45.101 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.118 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.141 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.154 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.176 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.177 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 45.177 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 45.177 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.177 * * [simplify]: iters left: 6 (15 enodes) 45.186 * * [simplify]: iters left: 5 (66 enodes) 45.209 * * [simplify]: iters left: 4 (112 enodes) 45.252 * * [simplify]: iters left: 3 (196 enodes) 45.333 * * [simplify]: iters left: 2 (392 enodes) 45.517 * * [simplify]: Extracting #0: cost 1 inf + 0 45.518 * * [simplify]: Extracting #1: cost 39 inf + 0 45.519 * * [simplify]: Extracting #2: cost 125 inf + 1 45.520 * * [simplify]: Extracting #3: cost 179 inf + 3 45.522 * * [simplify]: Extracting #4: cost 182 inf + 432 45.525 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.537 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.558 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.572 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.600 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.600 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))))) 45.601 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) 45.601 * * [simplify]: iters left: 6 (15 enodes) 45.610 * * [simplify]: iters left: 5 (66 enodes) 45.633 * * [simplify]: iters left: 4 (112 enodes) 45.669 * * [simplify]: iters left: 3 (196 enodes) 45.721 * * [simplify]: iters left: 2 (392 enodes) 45.873 * * [simplify]: Extracting #0: cost 1 inf + 0 45.873 * * [simplify]: Extracting #1: cost 39 inf + 0 45.873 * * [simplify]: Extracting #2: cost 125 inf + 1 45.874 * * [simplify]: Extracting #3: cost 179 inf + 3 45.875 * * [simplify]: Extracting #4: cost 182 inf + 432 45.880 * * [simplify]: Extracting #5: cost 135 inf + 7467 45.887 * * [simplify]: Extracting #6: cost 58 inf + 40786 45.900 * * [simplify]: Extracting #7: cost 2 inf + 84070 45.927 * * [simplify]: Extracting #8: cost 0 inf + 84912 45.955 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))) 45.955 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (sqrt (sqrt k))))) 45.955 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 45.955 * [simplify]: Simplifying (cbrt (/ 1 (sqrt k))) 45.955 * * [simplify]: iters left: 4 (5 enodes) 45.958 * * [simplify]: iters left: 3 (17 enodes) 45.964 * * [simplify]: iters left: 2 (19 enodes) 45.967 * * [simplify]: Extracting #0: cost 1 inf + 0 45.967 * * [simplify]: Extracting #1: cost 3 inf + 0 45.967 * * [simplify]: Extracting #2: cost 6 inf + 0 45.967 * * [simplify]: Extracting #3: cost 7 inf + 1 45.967 * * [simplify]: Extracting #4: cost 0 inf + 572 45.968 * [simplify]: Simplified to (cbrt (/ 1 (sqrt k))) 45.968 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (cbrt (/ 1 (sqrt k))))) 45.968 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 45.968 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 45.968 * * [simplify]: iters left: 4 (5 enodes) 45.969 * * [simplify]: iters left: 3 (17 enodes) 45.972 * * [simplify]: iters left: 2 (19 enodes) 45.975 * * [simplify]: Extracting #0: cost 1 inf + 0 45.975 * * [simplify]: Extracting #1: cost 3 inf + 0 45.975 * * [simplify]: Extracting #2: cost 6 inf + 0 45.975 * * [simplify]: Extracting #3: cost 7 inf + 1 45.975 * * [simplify]: Extracting #4: cost 0 inf + 492 45.976 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 45.976 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k))))) 45.976 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 45.976 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 45.976 * * [simplify]: iters left: 4 (6 enodes) 45.978 * * [simplify]: iters left: 3 (20 enodes) 45.981 * * [simplify]: iters left: 2 (22 enodes) 45.984 * * [simplify]: Extracting #0: cost 1 inf + 0 45.984 * * [simplify]: Extracting #1: cost 4 inf + 0 45.984 * * [simplify]: Extracting #2: cost 5 inf + 1 45.984 * * [simplify]: Extracting #3: cost 7 inf + 1 45.984 * * [simplify]: Extracting #4: cost 1 inf + 488 45.985 * * [simplify]: Extracting #5: cost 0 inf + 650 45.985 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 45.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 45.985 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 45.985 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 45.985 * * [simplify]: iters left: 4 (6 enodes) 45.987 * * [simplify]: iters left: 3 (20 enodes) 45.990 * * [simplify]: iters left: 2 (22 enodes) 45.993 * * [simplify]: Extracting #0: cost 1 inf + 0 45.993 * * [simplify]: Extracting #1: cost 4 inf + 0 45.993 * * [simplify]: Extracting #2: cost 5 inf + 1 45.993 * * [simplify]: Extracting #3: cost 7 inf + 1 45.993 * * [simplify]: Extracting #4: cost 1 inf + 568 45.993 * * [simplify]: Extracting #5: cost 0 inf + 730 45.993 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 45.993 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 45.994 * * * * [progress]: [ 159 / 197 ] simplifiying candidate # 45.994 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 45.994 * * [simplify]: iters left: 4 (6 enodes) 45.998 * * [simplify]: iters left: 3 (20 enodes) 46.002 * * [simplify]: iters left: 2 (22 enodes) 46.008 * * [simplify]: Extracting #0: cost 1 inf + 0 46.008 * * [simplify]: Extracting #1: cost 4 inf + 0 46.008 * * [simplify]: Extracting #2: cost 5 inf + 1 46.008 * * [simplify]: Extracting #3: cost 7 inf + 1 46.008 * * [simplify]: Extracting #4: cost 1 inf + 368 46.009 * * [simplify]: Extracting #5: cost 0 inf + 490 46.009 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.009 * * * * [progress]: [ 160 / 197 ] simplifiying candidate # 46.009 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.009 * * [simplify]: iters left: 3 (5 enodes) 46.013 * * [simplify]: iters left: 2 (17 enodes) 46.018 * * [simplify]: iters left: 1 (19 enodes) 46.024 * * [simplify]: Extracting #0: cost 1 inf + 0 46.024 * * [simplify]: Extracting #1: cost 4 inf + 0 46.024 * * [simplify]: Extracting #2: cost 5 inf + 1 46.024 * * [simplify]: Extracting #3: cost 0 inf + 248 46.024 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.024 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt k)))) 46.024 * * * * [progress]: [ 161 / 197 ] simplifiying candidate # 46.025 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 46.025 * * [simplify]: iters left: 4 (6 enodes) 46.027 * * [simplify]: iters left: 3 (20 enodes) 46.030 * * [simplify]: iters left: 2 (22 enodes) 46.033 * * [simplify]: Extracting #0: cost 1 inf + 0 46.033 * * [simplify]: Extracting #1: cost 4 inf + 0 46.033 * * [simplify]: Extracting #2: cost 5 inf + 1 46.033 * * [simplify]: Extracting #3: cost 7 inf + 1 46.033 * * [simplify]: Extracting #4: cost 1 inf + 368 46.033 * * [simplify]: Extracting #5: cost 0 inf + 490 46.033 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.033 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.033 * * * * [progress]: [ 162 / 197 ] simplifiying candidate # 46.034 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 46.034 * * [simplify]: iters left: 3 (5 enodes) 46.036 * * [simplify]: iters left: 2 (17 enodes) 46.039 * * [simplify]: iters left: 1 (19 enodes) 46.041 * * [simplify]: Extracting #0: cost 1 inf + 0 46.041 * * [simplify]: Extracting #1: cost 4 inf + 0 46.041 * * [simplify]: Extracting #2: cost 5 inf + 1 46.042 * * [simplify]: Extracting #3: cost 0 inf + 248 46.042 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.042 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt k)))) 46.042 * * * * [progress]: [ 163 / 197 ] simplifiying candidate # 46.042 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 46.042 * * [simplify]: iters left: 4 (6 enodes) 46.044 * * [simplify]: iters left: 3 (20 enodes) 46.047 * * [simplify]: iters left: 2 (22 enodes) 46.051 * * [simplify]: Extracting #0: cost 1 inf + 0 46.051 * * [simplify]: Extracting #1: cost 4 inf + 0 46.051 * * [simplify]: Extracting #2: cost 5 inf + 1 46.051 * * [simplify]: Extracting #3: cost 7 inf + 1 46.051 * * [simplify]: Extracting #4: cost 1 inf + 488 46.051 * * [simplify]: Extracting #5: cost 0 inf + 650 46.051 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.051 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.051 * * * * [progress]: [ 164 / 197 ] simplifiying candidate # 46.051 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 46.051 * * [simplify]: iters left: 4 (6 enodes) 46.053 * * [simplify]: iters left: 3 (20 enodes) 46.056 * * [simplify]: iters left: 2 (22 enodes) 46.060 * * [simplify]: Extracting #0: cost 1 inf + 0 46.060 * * [simplify]: Extracting #1: cost 4 inf + 0 46.060 * * [simplify]: Extracting #2: cost 5 inf + 1 46.060 * * [simplify]: Extracting #3: cost 7 inf + 1 46.060 * * [simplify]: Extracting #4: cost 1 inf + 568 46.060 * * [simplify]: Extracting #5: cost 0 inf + 730 46.060 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.060 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.060 * * * * [progress]: [ 165 / 197 ] simplifiying candidate # 46.060 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.060 * * [simplify]: iters left: 4 (6 enodes) 46.064 * * [simplify]: iters left: 3 (20 enodes) 46.070 * * [simplify]: iters left: 2 (22 enodes) 46.076 * * [simplify]: Extracting #0: cost 1 inf + 0 46.076 * * [simplify]: Extracting #1: cost 4 inf + 0 46.076 * * [simplify]: Extracting #2: cost 5 inf + 1 46.076 * * [simplify]: Extracting #3: cost 7 inf + 1 46.076 * * [simplify]: Extracting #4: cost 1 inf + 368 46.077 * * [simplify]: Extracting #5: cost 0 inf + 490 46.077 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.077 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.077 * * * * [progress]: [ 166 / 197 ] simplifiying candidate # 46.077 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.077 * * [simplify]: iters left: 3 (5 enodes) 46.082 * * [simplify]: iters left: 2 (17 enodes) 46.087 * * [simplify]: iters left: 1 (19 enodes) 46.093 * * [simplify]: Extracting #0: cost 1 inf + 0 46.093 * * [simplify]: Extracting #1: cost 4 inf + 0 46.093 * * [simplify]: Extracting #2: cost 5 inf + 1 46.093 * * [simplify]: Extracting #3: cost 0 inf + 248 46.093 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.093 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt k)))) 46.093 * * * * [progress]: [ 167 / 197 ] simplifiying candidate # 46.093 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 46.094 * * [simplify]: iters left: 4 (6 enodes) 46.097 * * [simplify]: iters left: 3 (20 enodes) 46.103 * * [simplify]: iters left: 2 (22 enodes) 46.110 * * [simplify]: Extracting #0: cost 1 inf + 0 46.110 * * [simplify]: Extracting #1: cost 4 inf + 0 46.110 * * [simplify]: Extracting #2: cost 5 inf + 1 46.110 * * [simplify]: Extracting #3: cost 7 inf + 1 46.110 * * [simplify]: Extracting #4: cost 1 inf + 368 46.110 * * [simplify]: Extracting #5: cost 0 inf + 490 46.110 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.110 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.111 * * * * [progress]: [ 168 / 197 ] simplifiying candidate # 46.111 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 46.111 * * [simplify]: iters left: 3 (5 enodes) 46.115 * * [simplify]: iters left: 2 (17 enodes) 46.124 * * [simplify]: iters left: 1 (19 enodes) 46.129 * * [simplify]: Extracting #0: cost 1 inf + 0 46.129 * * [simplify]: Extracting #1: cost 4 inf + 0 46.129 * * [simplify]: Extracting #2: cost 5 inf + 1 46.129 * * [simplify]: Extracting #3: cost 0 inf + 248 46.129 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.129 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ 1 (sqrt k)))) 46.130 * * * * [progress]: [ 169 / 197 ] simplifiying candidate # 46.130 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 46.130 * * [simplify]: iters left: 4 (5 enodes) 46.131 * * [simplify]: iters left: 3 (17 enodes) 46.134 * * [simplify]: iters left: 2 (19 enodes) 46.136 * * [simplify]: Extracting #0: cost 1 inf + 0 46.136 * * [simplify]: Extracting #1: cost 4 inf + 0 46.136 * * [simplify]: Extracting #2: cost 5 inf + 1 46.136 * * [simplify]: Extracting #3: cost 7 inf + 1 46.136 * * [simplify]: Extracting #4: cost 0 inf + 650 46.136 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 46.137 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (cbrt (sqrt k))))) 46.137 * * * * [progress]: [ 170 / 197 ] simplifiying candidate # 46.137 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 46.137 * * [simplify]: iters left: 4 (5 enodes) 46.138 * * [simplify]: iters left: 3 (17 enodes) 46.141 * * [simplify]: iters left: 2 (19 enodes) 46.143 * * [simplify]: Extracting #0: cost 1 inf + 0 46.143 * * [simplify]: Extracting #1: cost 4 inf + 0 46.143 * * [simplify]: Extracting #2: cost 5 inf + 1 46.143 * * [simplify]: Extracting #3: cost 7 inf + 1 46.144 * * [simplify]: Extracting #4: cost 0 inf + 730 46.144 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 46.144 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (cbrt k))))) 46.144 * * * * [progress]: [ 171 / 197 ] simplifiying candidate # 46.144 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.144 * * [simplify]: iters left: 4 (5 enodes) 46.145 * * [simplify]: iters left: 3 (17 enodes) 46.148 * * [simplify]: iters left: 2 (19 enodes) 46.151 * * [simplify]: Extracting #0: cost 1 inf + 0 46.151 * * [simplify]: Extracting #1: cost 4 inf + 0 46.151 * * [simplify]: Extracting #2: cost 5 inf + 1 46.151 * * [simplify]: Extracting #3: cost 7 inf + 1 46.151 * * [simplify]: Extracting #4: cost 0 inf + 490 46.151 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.151 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.151 * * * * [progress]: [ 172 / 197 ] simplifiying candidate # 46.151 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.151 * * [simplify]: iters left: 3 (4 enodes) 46.152 * * [simplify]: iters left: 2 (14 enodes) 46.154 * * [simplify]: iters left: 1 (16 enodes) 46.157 * * [simplify]: Extracting #0: cost 1 inf + 0 46.157 * * [simplify]: Extracting #1: cost 4 inf + 0 46.157 * * [simplify]: Extracting #2: cost 5 inf + 1 46.157 * * [simplify]: Extracting #3: cost 3 inf + 43 46.157 * * [simplify]: Extracting #4: cost 1 inf + 166 46.157 * * [simplify]: Extracting #5: cost 0 inf + 248 46.157 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.157 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt 1))) (/ 1 (sqrt k)))) 46.157 * * * * [progress]: [ 173 / 197 ] simplifiying candidate # 46.157 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 46.157 * * [simplify]: iters left: 4 (5 enodes) 46.159 * * [simplify]: iters left: 3 (17 enodes) 46.161 * * [simplify]: iters left: 2 (19 enodes) 46.164 * * [simplify]: Extracting #0: cost 1 inf + 0 46.164 * * [simplify]: Extracting #1: cost 4 inf + 0 46.164 * * [simplify]: Extracting #2: cost 5 inf + 1 46.164 * * [simplify]: Extracting #3: cost 7 inf + 1 46.164 * * [simplify]: Extracting #4: cost 0 inf + 490 46.164 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 46.164 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 46.164 * * * * [progress]: [ 174 / 197 ] simplifiying candidate # 46.165 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.165 * * [simplify]: iters left: 3 (4 enodes) 46.166 * * [simplify]: iters left: 2 (14 enodes) 46.168 * * [simplify]: iters left: 1 (16 enodes) 46.170 * * [simplify]: Extracting #0: cost 1 inf + 0 46.170 * * [simplify]: Extracting #1: cost 4 inf + 0 46.170 * * [simplify]: Extracting #2: cost 5 inf + 1 46.170 * * [simplify]: Extracting #3: cost 3 inf + 43 46.170 * * [simplify]: Extracting #4: cost 1 inf + 166 46.171 * * [simplify]: Extracting #5: cost 0 inf + 248 46.171 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.171 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 1)) (/ 1 (sqrt k)))) 46.171 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 46.171 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.171 * * [simplify]: iters left: 3 (4 enodes) 46.172 * * [simplify]: iters left: 2 (14 enodes) 46.174 * * [simplify]: iters left: 1 (16 enodes) 46.177 * * [simplify]: Extracting #0: cost 1 inf + 0 46.177 * * [simplify]: Extracting #1: cost 4 inf + 0 46.177 * * [simplify]: Extracting #2: cost 5 inf + 1 46.177 * * [simplify]: Extracting #3: cost 3 inf + 43 46.177 * * [simplify]: Extracting #4: cost 1 inf + 166 46.177 * * [simplify]: Extracting #5: cost 0 inf + 248 46.177 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.177 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.177 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 46.177 * [simplify]: Simplifying (/ 1 (sqrt k)) 46.177 * * [simplify]: iters left: 3 (4 enodes) 46.178 * * [simplify]: iters left: 2 (14 enodes) 46.180 * * [simplify]: iters left: 1 (16 enodes) 46.183 * * [simplify]: Extracting #0: cost 1 inf + 0 46.183 * * [simplify]: Extracting #1: cost 4 inf + 0 46.183 * * [simplify]: Extracting #2: cost 5 inf + 1 46.183 * * [simplify]: Extracting #3: cost 3 inf + 43 46.183 * * [simplify]: Extracting #4: cost 1 inf + 166 46.183 * * [simplify]: Extracting #5: cost 0 inf + 248 46.183 * [simplify]: Simplified to (/ 1 (sqrt k)) 46.183 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (/ 1 (sqrt k)))) 46.183 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 46.183 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 46.183 * * [simplify]: iters left: 5 (7 enodes) 46.186 * * [simplify]: iters left: 4 (32 enodes) 46.191 * * [simplify]: iters left: 3 (57 enodes) 46.201 * * [simplify]: iters left: 2 (88 enodes) 46.220 * * [simplify]: iters left: 1 (156 enodes) 46.253 * * [simplify]: Extracting #0: cost 1 inf + 0 46.253 * * [simplify]: Extracting #1: cost 13 inf + 0 46.253 * * [simplify]: Extracting #2: cost 49 inf + 2 46.253 * * [simplify]: Extracting #3: cost 80 inf + 6 46.255 * * [simplify]: Extracting #4: cost 58 inf + 1840 46.258 * * [simplify]: Extracting #5: cost 22 inf + 9206 46.262 * * [simplify]: Extracting #6: cost 1 inf + 20886 46.265 * * [simplify]: Extracting #7: cost 0 inf + 21301 46.268 * * [simplify]: Extracting #8: cost 0 inf + 21130 46.271 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 46.271 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))) 46.271 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 46.271 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 46.271 * * [simplify]: iters left: 6 (12 enodes) 46.275 * * [simplify]: iters left: 5 (51 enodes) 46.284 * * [simplify]: iters left: 4 (84 enodes) 46.307 * * [simplify]: iters left: 3 (125 enodes) 46.339 * * [simplify]: iters left: 2 (198 enodes) 46.388 * * [simplify]: iters left: 1 (353 enodes) 46.495 * * [simplify]: Extracting #0: cost 1 inf + 0 46.496 * * [simplify]: Extracting #1: cost 3 inf + 0 46.496 * * [simplify]: Extracting #2: cost 5 inf + 0 46.496 * * [simplify]: Extracting #3: cost 28 inf + 0 46.496 * * [simplify]: Extracting #4: cost 101 inf + 1 46.496 * * [simplify]: Extracting #5: cost 136 inf + 176 46.497 * * [simplify]: Extracting #6: cost 126 inf + 1348 46.499 * * [simplify]: Extracting #7: cost 70 inf + 12457 46.507 * * [simplify]: Extracting #8: cost 19 inf + 42176 46.522 * * [simplify]: Extracting #9: cost 0 inf + 57297 46.541 * * [simplify]: Extracting #10: cost 0 inf + 56855 46.554 * * [simplify]: Extracting #11: cost 0 inf + 56816 46.563 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 46.563 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 46.563 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 46.564 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 46.564 * * [simplify]: iters left: 6 (11 enodes) 46.567 * * [simplify]: iters left: 5 (48 enodes) 46.578 * * [simplify]: iters left: 4 (78 enodes) 46.603 * * [simplify]: iters left: 3 (120 enodes) 46.647 * * [simplify]: iters left: 2 (211 enodes) 46.707 * * [simplify]: iters left: 1 (380 enodes) 46.887 * * [simplify]: Extracting #0: cost 1 inf + 0 46.887 * * [simplify]: Extracting #1: cost 4 inf + 0 46.887 * * [simplify]: Extracting #2: cost 29 inf + 0 46.888 * * [simplify]: Extracting #3: cost 113 inf + 1 46.889 * * [simplify]: Extracting #4: cost 155 inf + 220 46.891 * * [simplify]: Extracting #5: cost 153 inf + 561 46.893 * * [simplify]: Extracting #6: cost 121 inf + 2833 46.899 * * [simplify]: Extracting #7: cost 68 inf + 14038 46.911 * * [simplify]: Extracting #8: cost 15 inf + 50044 46.921 * * [simplify]: Extracting #9: cost 0 inf + 59395 46.932 * * [simplify]: Extracting #10: cost 0 inf + 59194 46.942 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 46.942 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ 1 (sqrt k))))) 46.942 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 46.942 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 46.942 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 46.942 * * [simplify]: iters left: 6 (11 enodes) 46.947 * * [simplify]: iters left: 5 (51 enodes) 46.956 * * [simplify]: iters left: 4 (87 enodes) 46.976 * * [simplify]: iters left: 3 (143 enodes) 47.023 * * [simplify]: iters left: 2 (259 enodes) 47.077 * * [simplify]: iters left: 1 (469 enodes) 47.268 * * [simplify]: Extracting #0: cost 1 inf + 0 47.268 * * [simplify]: Extracting #1: cost 24 inf + 0 47.269 * * [simplify]: Extracting #2: cost 110 inf + 1 47.269 * * [simplify]: Extracting #3: cost 192 inf + 178 47.271 * * [simplify]: Extracting #4: cost 178 inf + 1845 47.274 * * [simplify]: Extracting #5: cost 89 inf + 12477 47.279 * * [simplify]: Extracting #6: cost 41 inf + 28219 47.289 * * [simplify]: Extracting #7: cost 4 inf + 58625 47.303 * * [simplify]: Extracting #8: cost 0 inf + 62670 47.323 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 47.324 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt k))))) 47.324 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 47.324 * [simplify]: Simplifying (sqrt k) 47.324 * * [simplify]: iters left: 1 (2 enodes) 47.325 * * [simplify]: Extracting #0: cost 1 inf + 0 47.325 * * [simplify]: Extracting #1: cost 3 inf + 0 47.325 * * [simplify]: Extracting #2: cost 2 inf + 1 47.325 * * [simplify]: Extracting #3: cost 0 inf + 83 47.325 * [simplify]: Simplified to (sqrt k) 47.325 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 47.325 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 47.325 * [simplify]: Simplifying (* (pow (* n (* 2 PI)) (/ 1 2)) (/ 1 (sqrt k))) 47.325 * * [simplify]: iters left: 6 (12 enodes) 47.330 * * [simplify]: iters left: 5 (50 enodes) 47.343 * * [simplify]: iters left: 4 (88 enodes) 47.370 * * [simplify]: iters left: 3 (169 enodes) 47.400 * * [simplify]: iters left: 2 (291 enodes) 47.542 * * [simplify]: Extracting #0: cost 1 inf + 0 47.542 * * [simplify]: Extracting #1: cost 31 inf + 0 47.543 * * [simplify]: Extracting #2: cost 95 inf + 1 47.544 * * [simplify]: Extracting #3: cost 95 inf + 50 47.545 * * [simplify]: Extracting #4: cost 85 inf + 844 47.549 * * [simplify]: Extracting #5: cost 34 inf + 22508 47.561 * * [simplify]: Extracting #6: cost 0 inf + 45097 47.575 * * [simplify]: Extracting #7: cost 0 inf + 44362 47.588 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt k)) 47.588 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) 47.588 * * * * [progress]: [ 184 / 197 ] simplifiying candidate #real (real->posit16 (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))))> 47.588 * * * * [progress]: [ 185 / 197 ] simplifiying candidate # 47.588 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 47.589 * [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))))) 47.589 * * [simplify]: iters left: 6 (37 enodes) 47.613 * * [simplify]: iters left: 5 (190 enodes) 47.695 * * [simplify]: Extracting #0: cost 1 inf + 0 47.695 * * [simplify]: Extracting #1: cost 22 inf + 0 47.695 * * [simplify]: Extracting #2: cost 108 inf + 1 47.696 * * [simplify]: Extracting #3: cost 171 inf + 46 47.697 * * [simplify]: Extracting #4: cost 189 inf + 427 47.699 * * [simplify]: Extracting #5: cost 128 inf + 16032 47.707 * * [simplify]: Extracting #6: cost 29 inf + 57153 47.722 * * [simplify]: Extracting #7: cost 4 inf + 75884 47.742 * * [simplify]: Extracting #8: cost 0 inf + 78767 47.758 * [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))) 47.758 * [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)))) 47.759 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 47.759 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 47.759 * * [simplify]: iters left: 6 (15 enodes) 47.764 * * [simplify]: iters left: 5 (65 enodes) 47.785 * * [simplify]: iters left: 4 (123 enodes) 47.813 * * [simplify]: iters left: 3 (367 enodes) 47.984 * * [simplify]: Extracting #0: cost 1 inf + 0 47.984 * * [simplify]: Extracting #1: cost 37 inf + 0 47.985 * * [simplify]: Extracting #2: cost 216 inf + 72 47.988 * * [simplify]: Extracting #3: cost 356 inf + 1622 47.997 * * [simplify]: Extracting #4: cost 219 inf + 28945 48.019 * * [simplify]: Extracting #5: cost 21 inf + 83197 48.035 * * [simplify]: Extracting #6: cost 0 inf + 89881 48.066 * * [simplify]: Extracting #7: cost 0 inf + 89729 48.098 * * [simplify]: Extracting #8: cost 0 inf + 89726 48.114 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 48.114 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (/ 1 (sqrt k)))) 48.114 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 48.114 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 48.114 * * [simplify]: iters left: 6 (16 enodes) 48.119 * * [simplify]: iters left: 5 (67 enodes) 48.134 * * [simplify]: iters left: 4 (134 enodes) 48.181 * * [simplify]: iters left: 3 (413 enodes) 48.440 * * [simplify]: Extracting #0: cost 1 inf + 0 48.440 * * [simplify]: Extracting #1: cost 39 inf + 0 48.440 * * [simplify]: Extracting #2: cost 241 inf + 72 48.442 * * [simplify]: Extracting #3: cost 450 inf + 903 48.445 * * [simplify]: Extracting #4: cost 376 inf + 10375 48.461 * * [simplify]: Extracting #5: cost 158 inf + 67083 48.482 * * [simplify]: Extracting #6: cost 12 inf + 118840 48.520 * * [simplify]: Extracting #7: cost 0 inf + 121984 48.543 * * [simplify]: Extracting #8: cost 0 inf + 121983 48.582 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 48.583 * [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)))) 48.583 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 48.583 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 48.583 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.583 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 48.583 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 48.583 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.584 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 48.584 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 48.584 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) +nan.0)) 48.584 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 48.584 * [simplify]: Simplifying (* 2 (* n PI)) 48.584 * * [simplify]: iters left: 4 (5 enodes) 48.586 * * [simplify]: iters left: 3 (19 enodes) 48.589 * * [simplify]: iters left: 2 (27 enodes) 48.593 * * [simplify]: iters left: 1 (32 enodes) 48.597 * * [simplify]: Extracting #0: cost 1 inf + 0 48.597 * * [simplify]: Extracting #1: cost 8 inf + 0 48.597 * * [simplify]: Extracting #2: cost 7 inf + 45 48.597 * * [simplify]: Extracting #3: cost 0 inf + 421 48.597 * [simplify]: Simplified to (* (* PI n) 2) 48.597 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.597 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 48.598 * [simplify]: Simplifying (* 2 (* n PI)) 48.598 * * [simplify]: iters left: 4 (5 enodes) 48.599 * * [simplify]: iters left: 3 (19 enodes) 48.602 * * [simplify]: iters left: 2 (27 enodes) 48.606 * * [simplify]: iters left: 1 (32 enodes) 48.612 * * [simplify]: Extracting #0: cost 1 inf + 0 48.612 * * [simplify]: Extracting #1: cost 8 inf + 0 48.612 * * [simplify]: Extracting #2: cost 7 inf + 45 48.613 * * [simplify]: Extracting #3: cost 0 inf + 421 48.613 * [simplify]: Simplified to (* (* PI n) 2) 48.613 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.613 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 48.613 * [simplify]: Simplifying (* 2 (* n PI)) 48.613 * * [simplify]: iters left: 4 (5 enodes) 48.616 * * [simplify]: iters left: 3 (19 enodes) 48.622 * * [simplify]: iters left: 2 (27 enodes) 48.631 * * [simplify]: iters left: 1 (32 enodes) 48.639 * * [simplify]: Extracting #0: cost 1 inf + 0 48.639 * * [simplify]: Extracting #1: cost 8 inf + 0 48.639 * * [simplify]: Extracting #2: cost 7 inf + 45 48.639 * * [simplify]: Extracting #3: cost 0 inf + 421 48.640 * [simplify]: Simplified to (* (* PI n) 2) 48.640 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (pow (* (* PI n) 2) (/ (- 1 k) 2)) (/ 1 (sqrt k)))) 48.640 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 48.640 * [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)))))))))))))))))))))) 48.640 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.641 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 48.641 * [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)))))))) 48.641 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.642 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 48.642 * [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)))))))))))) 48.642 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 48.642 * * * [progress]: adding candidates to table 50.900 * * [progress]: iteration 3 / 4 50.900 * * * [progress]: picking best candidate 50.936 * * * * [pick]: Picked # 50.936 * * * [progress]: localizing error 50.981 * * * [progress]: generating rewritten candidates 50.981 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 50.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 51.024 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 51.054 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 51.088 * * * [progress]: generating series expansions 51.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 51.089 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 51.089 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 51.090 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 51.090 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 51.090 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 51.090 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 51.090 * [taylor]: Taking taylor expansion of 1/4 in k 51.090 * [backup-simplify]: Simplify 1/4 into 1/4 51.090 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.090 * [taylor]: Taking taylor expansion of 1 in k 51.090 * [backup-simplify]: Simplify 1 into 1 51.090 * [taylor]: Taking taylor expansion of k in k 51.090 * [backup-simplify]: Simplify 0 into 0 51.090 * [backup-simplify]: Simplify 1 into 1 51.090 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.090 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.090 * [taylor]: Taking taylor expansion of 2 in k 51.090 * [backup-simplify]: Simplify 2 into 2 51.090 * [taylor]: Taking taylor expansion of (* n PI) in k 51.090 * [taylor]: Taking taylor expansion of n in k 51.090 * [backup-simplify]: Simplify n into n 51.090 * [taylor]: Taking taylor expansion of PI in k 51.090 * [backup-simplify]: Simplify PI into PI 51.090 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.090 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.090 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.091 * [backup-simplify]: Simplify (- 0) into 0 51.091 * [backup-simplify]: Simplify (+ 1 0) into 1 51.092 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.092 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 51.092 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 51.092 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.092 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.092 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.092 * [taylor]: Taking taylor expansion of 1/4 in n 51.092 * [backup-simplify]: Simplify 1/4 into 1/4 51.092 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.092 * [taylor]: Taking taylor expansion of 1 in n 51.092 * [backup-simplify]: Simplify 1 into 1 51.092 * [taylor]: Taking taylor expansion of k in n 51.092 * [backup-simplify]: Simplify k into k 51.092 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.092 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.092 * [taylor]: Taking taylor expansion of 2 in n 51.092 * [backup-simplify]: Simplify 2 into 2 51.092 * [taylor]: Taking taylor expansion of (* n PI) in n 51.092 * [taylor]: Taking taylor expansion of n in n 51.092 * [backup-simplify]: Simplify 0 into 0 51.092 * [backup-simplify]: Simplify 1 into 1 51.092 * [taylor]: Taking taylor expansion of PI in n 51.092 * [backup-simplify]: Simplify PI into PI 51.093 * [backup-simplify]: Simplify (* 0 PI) into 0 51.093 * [backup-simplify]: Simplify (* 2 0) into 0 51.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.096 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.097 * [backup-simplify]: Simplify (- k) into (- k) 51.097 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.097 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.100 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.101 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.101 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.101 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.101 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.101 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.101 * [taylor]: Taking taylor expansion of 1/4 in n 51.101 * [backup-simplify]: Simplify 1/4 into 1/4 51.101 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.101 * [taylor]: Taking taylor expansion of 1 in n 51.101 * [backup-simplify]: Simplify 1 into 1 51.101 * [taylor]: Taking taylor expansion of k in n 51.101 * [backup-simplify]: Simplify k into k 51.101 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.101 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.101 * [taylor]: Taking taylor expansion of 2 in n 51.101 * [backup-simplify]: Simplify 2 into 2 51.101 * [taylor]: Taking taylor expansion of (* n PI) in n 51.101 * [taylor]: Taking taylor expansion of n in n 51.101 * [backup-simplify]: Simplify 0 into 0 51.101 * [backup-simplify]: Simplify 1 into 1 51.101 * [taylor]: Taking taylor expansion of PI in n 51.101 * [backup-simplify]: Simplify PI into PI 51.102 * [backup-simplify]: Simplify (* 0 PI) into 0 51.102 * [backup-simplify]: Simplify (* 2 0) into 0 51.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.105 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.105 * [backup-simplify]: Simplify (- k) into (- k) 51.105 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.105 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.106 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.107 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.108 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.108 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.108 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.108 * [taylor]: Taking taylor expansion of 1/4 in k 51.108 * [backup-simplify]: Simplify 1/4 into 1/4 51.108 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.108 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.108 * [taylor]: Taking taylor expansion of 1 in k 51.108 * [backup-simplify]: Simplify 1 into 1 51.108 * [taylor]: Taking taylor expansion of k in k 51.108 * [backup-simplify]: Simplify 0 into 0 51.108 * [backup-simplify]: Simplify 1 into 1 51.108 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.108 * [taylor]: Taking taylor expansion of (log n) in k 51.108 * [taylor]: Taking taylor expansion of n in k 51.108 * [backup-simplify]: Simplify n into n 51.108 * [backup-simplify]: Simplify (log n) into (log n) 51.108 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.108 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.108 * [taylor]: Taking taylor expansion of 2 in k 51.108 * [backup-simplify]: Simplify 2 into 2 51.108 * [taylor]: Taking taylor expansion of PI in k 51.108 * [backup-simplify]: Simplify PI into PI 51.108 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.109 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.109 * [backup-simplify]: Simplify (- 0) into 0 51.109 * [backup-simplify]: Simplify (+ 1 0) into 1 51.110 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.111 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.111 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 51.112 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.112 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.115 * [backup-simplify]: Simplify (- 0) into 0 51.115 * [backup-simplify]: Simplify (+ 0 0) into 0 51.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 51.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.118 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.119 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.119 * [taylor]: Taking taylor expansion of 0 in k 51.119 * [backup-simplify]: Simplify 0 into 0 51.119 * [backup-simplify]: Simplify 0 into 0 51.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.120 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.122 * [backup-simplify]: Simplify (+ 0 0) into 0 51.122 * [backup-simplify]: Simplify (- 1) into -1 51.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.123 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.124 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 51.126 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 51.128 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 51.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.131 * [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 51.131 * [backup-simplify]: Simplify (- 0) into 0 51.132 * [backup-simplify]: Simplify (+ 0 0) into 0 51.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.133 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.135 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.137 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.138 * [taylor]: Taking taylor expansion of 0 in k 51.138 * [backup-simplify]: Simplify 0 into 0 51.138 * [backup-simplify]: Simplify 0 into 0 51.138 * [backup-simplify]: Simplify 0 into 0 51.139 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.144 * [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 51.144 * [backup-simplify]: Simplify (+ 0 0) into 0 51.145 * [backup-simplify]: Simplify (- 0) into 0 51.145 * [backup-simplify]: Simplify (+ 0 0) into 0 51.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.160 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 51.165 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 51.175 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 51.175 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 51.175 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 51.175 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 51.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.176 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.176 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 51.176 * [taylor]: Taking taylor expansion of 1/4 in k 51.176 * [backup-simplify]: Simplify 1/4 into 1/4 51.176 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.176 * [taylor]: Taking taylor expansion of 1 in k 51.176 * [backup-simplify]: Simplify 1 into 1 51.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.176 * [taylor]: Taking taylor expansion of k in k 51.176 * [backup-simplify]: Simplify 0 into 0 51.176 * [backup-simplify]: Simplify 1 into 1 51.176 * [backup-simplify]: Simplify (/ 1 1) into 1 51.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.176 * [taylor]: Taking taylor expansion of 2 in k 51.176 * [backup-simplify]: Simplify 2 into 2 51.176 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.176 * [taylor]: Taking taylor expansion of PI in k 51.176 * [backup-simplify]: Simplify PI into PI 51.176 * [taylor]: Taking taylor expansion of n in k 51.176 * [backup-simplify]: Simplify n into n 51.176 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.177 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.177 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.177 * [backup-simplify]: Simplify (- 1) into -1 51.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.178 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 51.178 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 51.178 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.178 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.178 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.178 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.179 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.179 * [taylor]: Taking taylor expansion of 1/4 in n 51.179 * [backup-simplify]: Simplify 1/4 into 1/4 51.179 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.179 * [taylor]: Taking taylor expansion of 1 in n 51.179 * [backup-simplify]: Simplify 1 into 1 51.179 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.179 * [taylor]: Taking taylor expansion of k in n 51.179 * [backup-simplify]: Simplify k into k 51.179 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.179 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.179 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.179 * [taylor]: Taking taylor expansion of 2 in n 51.179 * [backup-simplify]: Simplify 2 into 2 51.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.179 * [taylor]: Taking taylor expansion of PI in n 51.179 * [backup-simplify]: Simplify PI into PI 51.179 * [taylor]: Taking taylor expansion of n in n 51.179 * [backup-simplify]: Simplify 0 into 0 51.179 * [backup-simplify]: Simplify 1 into 1 51.180 * [backup-simplify]: Simplify (/ PI 1) into PI 51.180 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.181 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.181 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.182 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.182 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.184 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.185 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.185 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.185 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.185 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.186 * [taylor]: Taking taylor expansion of 1/4 in n 51.186 * [backup-simplify]: Simplify 1/4 into 1/4 51.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.186 * [taylor]: Taking taylor expansion of 1 in n 51.186 * [backup-simplify]: Simplify 1 into 1 51.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.186 * [taylor]: Taking taylor expansion of k in n 51.186 * [backup-simplify]: Simplify k into k 51.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.186 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.186 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.186 * [taylor]: Taking taylor expansion of 2 in n 51.186 * [backup-simplify]: Simplify 2 into 2 51.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.186 * [taylor]: Taking taylor expansion of PI in n 51.186 * [backup-simplify]: Simplify PI into PI 51.186 * [taylor]: Taking taylor expansion of n in n 51.186 * [backup-simplify]: Simplify 0 into 0 51.186 * [backup-simplify]: Simplify 1 into 1 51.187 * [backup-simplify]: Simplify (/ PI 1) into PI 51.187 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.188 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.188 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.188 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.188 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.191 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.192 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.192 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.192 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.192 * [taylor]: Taking taylor expansion of 1/4 in k 51.192 * [backup-simplify]: Simplify 1/4 into 1/4 51.192 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.192 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.192 * [taylor]: Taking taylor expansion of 1 in k 51.192 * [backup-simplify]: Simplify 1 into 1 51.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.192 * [taylor]: Taking taylor expansion of k in k 51.192 * [backup-simplify]: Simplify 0 into 0 51.192 * [backup-simplify]: Simplify 1 into 1 51.193 * [backup-simplify]: Simplify (/ 1 1) into 1 51.193 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.193 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.193 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.193 * [taylor]: Taking taylor expansion of 2 in k 51.193 * [backup-simplify]: Simplify 2 into 2 51.193 * [taylor]: Taking taylor expansion of PI in k 51.193 * [backup-simplify]: Simplify PI into PI 51.193 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.194 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.194 * [taylor]: Taking taylor expansion of (log n) in k 51.194 * [taylor]: Taking taylor expansion of n in k 51.195 * [backup-simplify]: Simplify n into n 51.195 * [backup-simplify]: Simplify (log n) into (log n) 51.195 * [backup-simplify]: Simplify (- 1) into -1 51.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.195 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.196 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.197 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.198 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 51.200 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.201 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.202 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.205 * [backup-simplify]: Simplify (- 0) into 0 51.205 * [backup-simplify]: Simplify (+ 0 0) into 0 51.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 51.207 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.208 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.210 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.210 * [taylor]: Taking taylor expansion of 0 in k 51.210 * [backup-simplify]: Simplify 0 into 0 51.210 * [backup-simplify]: Simplify 0 into 0 51.210 * [backup-simplify]: Simplify 0 into 0 51.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.214 * [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 51.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.214 * [backup-simplify]: Simplify (- 0) into 0 51.214 * [backup-simplify]: Simplify (+ 0 0) into 0 51.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.217 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.218 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.218 * [taylor]: Taking taylor expansion of 0 in k 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.218 * [backup-simplify]: Simplify 0 into 0 51.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.222 * [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 51.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.223 * [backup-simplify]: Simplify (- 0) into 0 51.223 * [backup-simplify]: Simplify (+ 0 0) into 0 51.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.225 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.227 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.227 * [taylor]: Taking taylor expansion of 0 in k 51.227 * [backup-simplify]: Simplify 0 into 0 51.227 * [backup-simplify]: Simplify 0 into 0 51.227 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 51.228 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 51.228 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 51.228 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 51.228 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.228 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.228 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 51.228 * [taylor]: Taking taylor expansion of 1/4 in k 51.228 * [backup-simplify]: Simplify 1/4 into 1/4 51.228 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.228 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.228 * [taylor]: Taking taylor expansion of k in k 51.228 * [backup-simplify]: Simplify 0 into 0 51.228 * [backup-simplify]: Simplify 1 into 1 51.228 * [backup-simplify]: Simplify (/ 1 1) into 1 51.228 * [taylor]: Taking taylor expansion of 1 in k 51.228 * [backup-simplify]: Simplify 1 into 1 51.228 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.228 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.228 * [taylor]: Taking taylor expansion of -2 in k 51.228 * [backup-simplify]: Simplify -2 into -2 51.228 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.228 * [taylor]: Taking taylor expansion of PI in k 51.228 * [backup-simplify]: Simplify PI into PI 51.228 * [taylor]: Taking taylor expansion of n in k 51.228 * [backup-simplify]: Simplify n into n 51.229 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.229 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.229 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.229 * [backup-simplify]: Simplify (+ 1 0) into 1 51.229 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.229 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 51.229 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.229 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.229 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.229 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.229 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.229 * [taylor]: Taking taylor expansion of 1/4 in n 51.229 * [backup-simplify]: Simplify 1/4 into 1/4 51.229 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.230 * [taylor]: Taking taylor expansion of k in n 51.230 * [backup-simplify]: Simplify k into k 51.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.230 * [taylor]: Taking taylor expansion of 1 in n 51.230 * [backup-simplify]: Simplify 1 into 1 51.230 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.230 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.230 * [taylor]: Taking taylor expansion of -2 in n 51.230 * [backup-simplify]: Simplify -2 into -2 51.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.230 * [taylor]: Taking taylor expansion of PI in n 51.230 * [backup-simplify]: Simplify PI into PI 51.230 * [taylor]: Taking taylor expansion of n in n 51.230 * [backup-simplify]: Simplify 0 into 0 51.230 * [backup-simplify]: Simplify 1 into 1 51.230 * [backup-simplify]: Simplify (/ PI 1) into PI 51.230 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.231 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.231 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.231 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.232 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.233 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.233 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.233 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.233 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.233 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.233 * [taylor]: Taking taylor expansion of 1/4 in n 51.233 * [backup-simplify]: Simplify 1/4 into 1/4 51.233 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.233 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.233 * [taylor]: Taking taylor expansion of k in n 51.233 * [backup-simplify]: Simplify k into k 51.233 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.233 * [taylor]: Taking taylor expansion of 1 in n 51.233 * [backup-simplify]: Simplify 1 into 1 51.233 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.233 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.233 * [taylor]: Taking taylor expansion of -2 in n 51.233 * [backup-simplify]: Simplify -2 into -2 51.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.233 * [taylor]: Taking taylor expansion of PI in n 51.233 * [backup-simplify]: Simplify PI into PI 51.233 * [taylor]: Taking taylor expansion of n in n 51.233 * [backup-simplify]: Simplify 0 into 0 51.233 * [backup-simplify]: Simplify 1 into 1 51.234 * [backup-simplify]: Simplify (/ PI 1) into PI 51.234 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.235 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.235 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.235 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.236 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.237 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.237 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.237 * [taylor]: Taking taylor expansion of 1/4 in k 51.237 * [backup-simplify]: Simplify 1/4 into 1/4 51.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.237 * [taylor]: Taking taylor expansion of k in k 51.237 * [backup-simplify]: Simplify 0 into 0 51.237 * [backup-simplify]: Simplify 1 into 1 51.238 * [backup-simplify]: Simplify (/ 1 1) into 1 51.238 * [taylor]: Taking taylor expansion of 1 in k 51.238 * [backup-simplify]: Simplify 1 into 1 51.238 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.238 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.238 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.238 * [taylor]: Taking taylor expansion of -2 in k 51.238 * [backup-simplify]: Simplify -2 into -2 51.238 * [taylor]: Taking taylor expansion of PI in k 51.238 * [backup-simplify]: Simplify PI into PI 51.238 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.239 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.239 * [taylor]: Taking taylor expansion of (log n) in k 51.239 * [taylor]: Taking taylor expansion of n in k 51.239 * [backup-simplify]: Simplify n into n 51.239 * [backup-simplify]: Simplify (log n) into (log n) 51.240 * [backup-simplify]: Simplify (+ 1 0) into 1 51.240 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.241 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.242 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.243 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 51.244 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.245 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.247 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.250 * [backup-simplify]: Simplify (+ 0 0) into 0 51.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 51.252 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.253 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.254 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.254 * [taylor]: Taking taylor expansion of 0 in k 51.254 * [backup-simplify]: Simplify 0 into 0 51.254 * [backup-simplify]: Simplify 0 into 0 51.254 * [backup-simplify]: Simplify 0 into 0 51.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.255 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.257 * [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 51.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.257 * [backup-simplify]: Simplify (+ 0 0) into 0 51.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.259 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.261 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.261 * [taylor]: Taking taylor expansion of 0 in k 51.261 * [backup-simplify]: Simplify 0 into 0 51.261 * [backup-simplify]: Simplify 0 into 0 51.261 * [backup-simplify]: Simplify 0 into 0 51.261 * [backup-simplify]: Simplify 0 into 0 51.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.262 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.265 * [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 51.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.266 * [backup-simplify]: Simplify (+ 0 0) into 0 51.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.273 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.274 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.274 * [taylor]: Taking taylor expansion of 0 in k 51.274 * [backup-simplify]: Simplify 0 into 0 51.275 * [backup-simplify]: Simplify 0 into 0 51.275 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 51.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 51.276 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) 51.276 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0 51.276 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k 51.276 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k 51.276 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k 51.276 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 51.276 * [taylor]: Taking taylor expansion of 1/4 in k 51.276 * [backup-simplify]: Simplify 1/4 into 1/4 51.276 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.276 * [taylor]: Taking taylor expansion of 1 in k 51.276 * [backup-simplify]: Simplify 1 into 1 51.276 * [taylor]: Taking taylor expansion of k in k 51.276 * [backup-simplify]: Simplify 0 into 0 51.276 * [backup-simplify]: Simplify 1 into 1 51.276 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 51.276 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 51.276 * [taylor]: Taking taylor expansion of 2 in k 51.276 * [backup-simplify]: Simplify 2 into 2 51.276 * [taylor]: Taking taylor expansion of (* n PI) in k 51.276 * [taylor]: Taking taylor expansion of n in k 51.276 * [backup-simplify]: Simplify n into n 51.276 * [taylor]: Taking taylor expansion of PI in k 51.276 * [backup-simplify]: Simplify PI into PI 51.276 * [backup-simplify]: Simplify (* n PI) into (* n PI) 51.276 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 51.276 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 51.276 * [backup-simplify]: Simplify (- 0) into 0 51.277 * [backup-simplify]: Simplify (+ 1 0) into 1 51.277 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.277 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI)))) 51.277 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4) 51.277 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.277 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.277 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.277 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.277 * [taylor]: Taking taylor expansion of 1/4 in n 51.277 * [backup-simplify]: Simplify 1/4 into 1/4 51.277 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.277 * [taylor]: Taking taylor expansion of 1 in n 51.277 * [backup-simplify]: Simplify 1 into 1 51.277 * [taylor]: Taking taylor expansion of k in n 51.277 * [backup-simplify]: Simplify k into k 51.277 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.277 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.277 * [taylor]: Taking taylor expansion of 2 in n 51.277 * [backup-simplify]: Simplify 2 into 2 51.277 * [taylor]: Taking taylor expansion of (* n PI) in n 51.277 * [taylor]: Taking taylor expansion of n in n 51.277 * [backup-simplify]: Simplify 0 into 0 51.277 * [backup-simplify]: Simplify 1 into 1 51.277 * [taylor]: Taking taylor expansion of PI in n 51.277 * [backup-simplify]: Simplify PI into PI 51.278 * [backup-simplify]: Simplify (* 0 PI) into 0 51.278 * [backup-simplify]: Simplify (* 2 0) into 0 51.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.280 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.280 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.280 * [backup-simplify]: Simplify (- k) into (- k) 51.280 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.280 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.282 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.282 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.282 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n 51.282 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n 51.282 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n 51.282 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 51.282 * [taylor]: Taking taylor expansion of 1/4 in n 51.282 * [backup-simplify]: Simplify 1/4 into 1/4 51.282 * [taylor]: Taking taylor expansion of (- 1 k) in n 51.282 * [taylor]: Taking taylor expansion of 1 in n 51.282 * [backup-simplify]: Simplify 1 into 1 51.282 * [taylor]: Taking taylor expansion of k in n 51.282 * [backup-simplify]: Simplify k into k 51.282 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 51.283 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.283 * [taylor]: Taking taylor expansion of 2 in n 51.283 * [backup-simplify]: Simplify 2 into 2 51.283 * [taylor]: Taking taylor expansion of (* n PI) in n 51.283 * [taylor]: Taking taylor expansion of n in n 51.283 * [backup-simplify]: Simplify 0 into 0 51.283 * [backup-simplify]: Simplify 1 into 1 51.283 * [taylor]: Taking taylor expansion of PI in n 51.283 * [backup-simplify]: Simplify PI into PI 51.283 * [backup-simplify]: Simplify (* 0 PI) into 0 51.283 * [backup-simplify]: Simplify (* 2 0) into 0 51.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.285 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.286 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.286 * [backup-simplify]: Simplify (- k) into (- k) 51.286 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 51.286 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 51.288 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.289 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 51.290 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 51.290 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 51.290 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 51.290 * [taylor]: Taking taylor expansion of 1/4 in k 51.290 * [backup-simplify]: Simplify 1/4 into 1/4 51.290 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 51.290 * [taylor]: Taking taylor expansion of (- 1 k) in k 51.290 * [taylor]: Taking taylor expansion of 1 in k 51.290 * [backup-simplify]: Simplify 1 into 1 51.290 * [taylor]: Taking taylor expansion of k in k 51.290 * [backup-simplify]: Simplify 0 into 0 51.290 * [backup-simplify]: Simplify 1 into 1 51.290 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 51.290 * [taylor]: Taking taylor expansion of (log n) in k 51.290 * [taylor]: Taking taylor expansion of n in k 51.290 * [backup-simplify]: Simplify n into n 51.290 * [backup-simplify]: Simplify (log n) into (log n) 51.290 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.290 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.290 * [taylor]: Taking taylor expansion of 2 in k 51.290 * [backup-simplify]: Simplify 2 into 2 51.290 * [taylor]: Taking taylor expansion of PI in k 51.291 * [backup-simplify]: Simplify PI into PI 51.291 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.292 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.293 * [backup-simplify]: Simplify (- 0) into 0 51.293 * [backup-simplify]: Simplify (+ 1 0) into 1 51.294 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.295 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 51.296 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI)))) 51.297 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.298 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI))))) 51.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.302 * [backup-simplify]: Simplify (- 0) into 0 51.303 * [backup-simplify]: Simplify (+ 0 0) into 0 51.303 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0 51.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.306 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 51.308 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.308 * [taylor]: Taking taylor expansion of 0 in k 51.308 * [backup-simplify]: Simplify 0 into 0 51.308 * [backup-simplify]: Simplify 0 into 0 51.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 51.309 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.310 * [backup-simplify]: Simplify (+ 0 0) into 0 51.310 * [backup-simplify]: Simplify (- 1) into -1 51.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.311 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 51.313 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 51.314 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 51.316 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) 51.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.319 * [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 51.319 * [backup-simplify]: Simplify (- 0) into 0 51.319 * [backup-simplify]: Simplify (+ 0 0) into 0 51.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 51.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 51.321 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.323 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.323 * [taylor]: Taking taylor expansion of 0 in k 51.323 * [backup-simplify]: Simplify 0 into 0 51.323 * [backup-simplify]: Simplify 0 into 0 51.323 * [backup-simplify]: Simplify 0 into 0 51.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 51.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.326 * [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 51.326 * [backup-simplify]: Simplify (+ 0 0) into 0 51.326 * [backup-simplify]: Simplify (- 0) into 0 51.327 * [backup-simplify]: Simplify (+ 0 0) into 0 51.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 51.331 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 51.334 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) 51.341 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 51.342 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) 51.342 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0 51.342 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k 51.342 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 51.342 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 51.342 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 51.342 * [taylor]: Taking taylor expansion of 1/4 in k 51.342 * [backup-simplify]: Simplify 1/4 into 1/4 51.342 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.342 * [taylor]: Taking taylor expansion of 1 in k 51.342 * [backup-simplify]: Simplify 1 into 1 51.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.342 * [taylor]: Taking taylor expansion of k in k 51.343 * [backup-simplify]: Simplify 0 into 0 51.343 * [backup-simplify]: Simplify 1 into 1 51.343 * [backup-simplify]: Simplify (/ 1 1) into 1 51.343 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 51.343 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 51.343 * [taylor]: Taking taylor expansion of 2 in k 51.343 * [backup-simplify]: Simplify 2 into 2 51.343 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.343 * [taylor]: Taking taylor expansion of PI in k 51.343 * [backup-simplify]: Simplify PI into PI 51.343 * [taylor]: Taking taylor expansion of n in k 51.343 * [backup-simplify]: Simplify n into n 51.343 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.343 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 51.343 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 51.344 * [backup-simplify]: Simplify (- 1) into -1 51.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.345 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 51.345 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n)))) 51.345 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 51.345 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.345 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.345 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.345 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.345 * [taylor]: Taking taylor expansion of 1/4 in n 51.345 * [backup-simplify]: Simplify 1/4 into 1/4 51.345 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.345 * [taylor]: Taking taylor expansion of 1 in n 51.345 * [backup-simplify]: Simplify 1 into 1 51.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.345 * [taylor]: Taking taylor expansion of k in n 51.345 * [backup-simplify]: Simplify k into k 51.345 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.345 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.345 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.345 * [taylor]: Taking taylor expansion of 2 in n 51.345 * [backup-simplify]: Simplify 2 into 2 51.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.345 * [taylor]: Taking taylor expansion of PI in n 51.345 * [backup-simplify]: Simplify PI into PI 51.345 * [taylor]: Taking taylor expansion of n in n 51.345 * [backup-simplify]: Simplify 0 into 0 51.345 * [backup-simplify]: Simplify 1 into 1 51.345 * [backup-simplify]: Simplify (/ PI 1) into PI 51.346 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.346 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.346 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.346 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.347 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.348 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.349 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.349 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n 51.349 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 51.349 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 51.349 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 51.349 * [taylor]: Taking taylor expansion of 1/4 in n 51.349 * [backup-simplify]: Simplify 1/4 into 1/4 51.349 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 51.349 * [taylor]: Taking taylor expansion of 1 in n 51.349 * [backup-simplify]: Simplify 1 into 1 51.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.349 * [taylor]: Taking taylor expansion of k in n 51.349 * [backup-simplify]: Simplify k into k 51.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.349 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 51.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.349 * [taylor]: Taking taylor expansion of 2 in n 51.349 * [backup-simplify]: Simplify 2 into 2 51.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.349 * [taylor]: Taking taylor expansion of PI in n 51.349 * [backup-simplify]: Simplify PI into PI 51.349 * [taylor]: Taking taylor expansion of n in n 51.349 * [backup-simplify]: Simplify 0 into 0 51.349 * [backup-simplify]: Simplify 1 into 1 51.349 * [backup-simplify]: Simplify (/ PI 1) into PI 51.350 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.350 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.350 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 51.350 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 51.350 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 51.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.352 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 51.353 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 51.353 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 51.353 * [taylor]: Taking taylor expansion of 1/4 in k 51.353 * [backup-simplify]: Simplify 1/4 into 1/4 51.353 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 51.353 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 51.353 * [taylor]: Taking taylor expansion of 1 in k 51.353 * [backup-simplify]: Simplify 1 into 1 51.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.353 * [taylor]: Taking taylor expansion of k in k 51.353 * [backup-simplify]: Simplify 0 into 0 51.353 * [backup-simplify]: Simplify 1 into 1 51.353 * [backup-simplify]: Simplify (/ 1 1) into 1 51.353 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 51.353 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 51.353 * [taylor]: Taking taylor expansion of (* 2 PI) in k 51.353 * [taylor]: Taking taylor expansion of 2 in k 51.353 * [backup-simplify]: Simplify 2 into 2 51.353 * [taylor]: Taking taylor expansion of PI in k 51.353 * [backup-simplify]: Simplify PI into PI 51.354 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.354 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 51.354 * [taylor]: Taking taylor expansion of (log n) in k 51.354 * [taylor]: Taking taylor expansion of n in k 51.354 * [backup-simplify]: Simplify n into n 51.354 * [backup-simplify]: Simplify (log n) into (log n) 51.355 * [backup-simplify]: Simplify (- 1) into -1 51.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 51.355 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.355 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 51.356 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 51.357 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n))) 51.357 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.358 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 51.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.359 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 51.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.360 * [backup-simplify]: Simplify (- 0) into 0 51.361 * [backup-simplify]: Simplify (+ 0 0) into 0 51.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0 51.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.362 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 51.364 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.364 * [taylor]: Taking taylor expansion of 0 in k 51.364 * [backup-simplify]: Simplify 0 into 0 51.364 * [backup-simplify]: Simplify 0 into 0 51.364 * [backup-simplify]: Simplify 0 into 0 51.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.371 * [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 51.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.371 * [backup-simplify]: Simplify (- 0) into 0 51.372 * [backup-simplify]: Simplify (+ 0 0) into 0 51.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 51.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.374 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 51.375 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.375 * [taylor]: Taking taylor expansion of 0 in k 51.375 * [backup-simplify]: Simplify 0 into 0 51.375 * [backup-simplify]: Simplify 0 into 0 51.375 * [backup-simplify]: Simplify 0 into 0 51.375 * [backup-simplify]: Simplify 0 into 0 51.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.379 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 51.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.380 * [backup-simplify]: Simplify (- 0) into 0 51.380 * [backup-simplify]: Simplify (+ 0 0) into 0 51.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 51.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 51.384 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 51.387 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.387 * [taylor]: Taking taylor expansion of 0 in k 51.387 * [backup-simplify]: Simplify 0 into 0 51.387 * [backup-simplify]: Simplify 0 into 0 51.388 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 51.389 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) 51.389 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0 51.389 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k 51.389 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 51.389 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 51.389 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 51.389 * [taylor]: Taking taylor expansion of 1/4 in k 51.389 * [backup-simplify]: Simplify 1/4 into 1/4 51.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.389 * [taylor]: Taking taylor expansion of k in k 51.389 * [backup-simplify]: Simplify 0 into 0 51.389 * [backup-simplify]: Simplify 1 into 1 51.389 * [backup-simplify]: Simplify (/ 1 1) into 1 51.389 * [taylor]: Taking taylor expansion of 1 in k 51.389 * [backup-simplify]: Simplify 1 into 1 51.389 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 51.389 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 51.390 * [taylor]: Taking taylor expansion of -2 in k 51.390 * [backup-simplify]: Simplify -2 into -2 51.390 * [taylor]: Taking taylor expansion of (/ PI n) in k 51.390 * [taylor]: Taking taylor expansion of PI in k 51.390 * [backup-simplify]: Simplify PI into PI 51.390 * [taylor]: Taking taylor expansion of n in k 51.390 * [backup-simplify]: Simplify n into n 51.390 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 51.390 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 51.390 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 51.390 * [backup-simplify]: Simplify (+ 1 0) into 1 51.391 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 51.391 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n)))) 51.391 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 51.391 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.391 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.391 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.391 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.391 * [taylor]: Taking taylor expansion of 1/4 in n 51.391 * [backup-simplify]: Simplify 1/4 into 1/4 51.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.391 * [taylor]: Taking taylor expansion of k in n 51.391 * [backup-simplify]: Simplify k into k 51.391 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.391 * [taylor]: Taking taylor expansion of 1 in n 51.391 * [backup-simplify]: Simplify 1 into 1 51.391 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.391 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.391 * [taylor]: Taking taylor expansion of -2 in n 51.392 * [backup-simplify]: Simplify -2 into -2 51.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.392 * [taylor]: Taking taylor expansion of PI in n 51.392 * [backup-simplify]: Simplify PI into PI 51.392 * [taylor]: Taking taylor expansion of n in n 51.392 * [backup-simplify]: Simplify 0 into 0 51.392 * [backup-simplify]: Simplify 1 into 1 51.392 * [backup-simplify]: Simplify (/ PI 1) into PI 51.393 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.393 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.394 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.394 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.396 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.397 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.397 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n 51.397 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 51.397 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 51.397 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 51.397 * [taylor]: Taking taylor expansion of 1/4 in n 51.397 * [backup-simplify]: Simplify 1/4 into 1/4 51.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 51.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 51.397 * [taylor]: Taking taylor expansion of k in n 51.397 * [backup-simplify]: Simplify k into k 51.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 51.397 * [taylor]: Taking taylor expansion of 1 in n 51.397 * [backup-simplify]: Simplify 1 into 1 51.397 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 51.398 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.398 * [taylor]: Taking taylor expansion of -2 in n 51.398 * [backup-simplify]: Simplify -2 into -2 51.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.398 * [taylor]: Taking taylor expansion of PI in n 51.398 * [backup-simplify]: Simplify PI into PI 51.398 * [taylor]: Taking taylor expansion of n in n 51.398 * [backup-simplify]: Simplify 0 into 0 51.398 * [backup-simplify]: Simplify 1 into 1 51.398 * [backup-simplify]: Simplify (/ PI 1) into PI 51.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.400 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.400 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 51.400 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 51.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.402 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 51.403 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.404 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 51.404 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 51.404 * [taylor]: Taking taylor expansion of 1/4 in k 51.404 * [backup-simplify]: Simplify 1/4 into 1/4 51.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 51.404 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 51.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k 51.404 * [taylor]: Taking taylor expansion of k in k 51.404 * [backup-simplify]: Simplify 0 into 0 51.404 * [backup-simplify]: Simplify 1 into 1 51.404 * [backup-simplify]: Simplify (/ 1 1) into 1 51.404 * [taylor]: Taking taylor expansion of 1 in k 51.404 * [backup-simplify]: Simplify 1 into 1 51.404 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 51.404 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 51.404 * [taylor]: Taking taylor expansion of (* -2 PI) in k 51.404 * [taylor]: Taking taylor expansion of -2 in k 51.404 * [backup-simplify]: Simplify -2 into -2 51.404 * [taylor]: Taking taylor expansion of PI in k 51.404 * [backup-simplify]: Simplify PI into PI 51.405 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.406 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 51.406 * [taylor]: Taking taylor expansion of (log n) in k 51.406 * [taylor]: Taking taylor expansion of n in k 51.406 * [backup-simplify]: Simplify n into n 51.406 * [backup-simplify]: Simplify (log n) into (log n) 51.406 * [backup-simplify]: Simplify (+ 1 0) into 1 51.407 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 51.408 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 51.409 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 51.409 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n))) 51.410 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.411 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 51.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.412 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 51.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 51.413 * [backup-simplify]: Simplify (+ 0 0) into 0 51.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0 51.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.415 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 51.416 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 51.416 * [taylor]: Taking taylor expansion of 0 in k 51.416 * [backup-simplify]: Simplify 0 into 0 51.416 * [backup-simplify]: Simplify 0 into 0 51.416 * [backup-simplify]: Simplify 0 into 0 51.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.417 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.419 * [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 51.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.420 * [backup-simplify]: Simplify (+ 0 0) into 0 51.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 51.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.422 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 51.423 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 51.423 * [taylor]: Taking taylor expansion of 0 in k 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [backup-simplify]: Simplify 0 into 0 51.423 * [backup-simplify]: Simplify 0 into 0 51.424 * [backup-simplify]: Simplify 0 into 0 51.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.425 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.428 * [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 51.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 51.428 * [backup-simplify]: Simplify (+ 0 0) into 0 51.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 51.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 51.431 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 51.432 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 51.432 * [taylor]: Taking taylor expansion of 0 in k 51.432 * [backup-simplify]: Simplify 0 into 0 51.432 * [backup-simplify]: Simplify 0 into 0 51.433 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 51.433 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 51.433 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 51.434 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 51.434 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.434 * [taylor]: Taking taylor expansion of 2 in n 51.434 * [backup-simplify]: Simplify 2 into 2 51.434 * [taylor]: Taking taylor expansion of (* n PI) in n 51.434 * [taylor]: Taking taylor expansion of n in n 51.434 * [backup-simplify]: Simplify 0 into 0 51.434 * [backup-simplify]: Simplify 1 into 1 51.434 * [taylor]: Taking taylor expansion of PI in n 51.434 * [backup-simplify]: Simplify PI into PI 51.434 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.434 * [taylor]: Taking taylor expansion of 2 in n 51.434 * [backup-simplify]: Simplify 2 into 2 51.434 * [taylor]: Taking taylor expansion of (* n PI) in n 51.434 * [taylor]: Taking taylor expansion of n in n 51.434 * [backup-simplify]: Simplify 0 into 0 51.434 * [backup-simplify]: Simplify 1 into 1 51.434 * [taylor]: Taking taylor expansion of PI in n 51.434 * [backup-simplify]: Simplify PI into PI 51.434 * [backup-simplify]: Simplify (* 0 PI) into 0 51.434 * [backup-simplify]: Simplify (* 2 0) into 0 51.434 * [backup-simplify]: Simplify 0 into 0 51.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.436 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.437 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.439 * [backup-simplify]: Simplify 0 into 0 51.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.441 * [backup-simplify]: Simplify 0 into 0 51.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.443 * [backup-simplify]: Simplify 0 into 0 51.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 51.446 * [backup-simplify]: Simplify 0 into 0 51.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 51.450 * [backup-simplify]: Simplify 0 into 0 51.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 51.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 51.454 * [backup-simplify]: Simplify 0 into 0 51.454 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.455 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 51.455 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 51.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.455 * [taylor]: Taking taylor expansion of 2 in n 51.455 * [backup-simplify]: Simplify 2 into 2 51.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.455 * [taylor]: Taking taylor expansion of PI in n 51.455 * [backup-simplify]: Simplify PI into PI 51.455 * [taylor]: Taking taylor expansion of n in n 51.455 * [backup-simplify]: Simplify 0 into 0 51.455 * [backup-simplify]: Simplify 1 into 1 51.455 * [backup-simplify]: Simplify (/ PI 1) into PI 51.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.455 * [taylor]: Taking taylor expansion of 2 in n 51.455 * [backup-simplify]: Simplify 2 into 2 51.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.455 * [taylor]: Taking taylor expansion of PI in n 51.455 * [backup-simplify]: Simplify PI into PI 51.455 * [taylor]: Taking taylor expansion of n in n 51.456 * [backup-simplify]: Simplify 0 into 0 51.456 * [backup-simplify]: Simplify 1 into 1 51.456 * [backup-simplify]: Simplify (/ PI 1) into PI 51.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.457 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.459 * [backup-simplify]: Simplify 0 into 0 51.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.461 * [backup-simplify]: Simplify 0 into 0 51.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.463 * [backup-simplify]: Simplify 0 into 0 51.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.465 * [backup-simplify]: Simplify 0 into 0 51.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.468 * [backup-simplify]: Simplify 0 into 0 51.469 * [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 51.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.471 * [backup-simplify]: Simplify 0 into 0 51.471 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 51.472 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 51.472 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 51.472 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.472 * [taylor]: Taking taylor expansion of -2 in n 51.472 * [backup-simplify]: Simplify -2 into -2 51.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.472 * [taylor]: Taking taylor expansion of PI in n 51.472 * [backup-simplify]: Simplify PI into PI 51.472 * [taylor]: Taking taylor expansion of n in n 51.472 * [backup-simplify]: Simplify 0 into 0 51.472 * [backup-simplify]: Simplify 1 into 1 51.473 * [backup-simplify]: Simplify (/ PI 1) into PI 51.473 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.473 * [taylor]: Taking taylor expansion of -2 in n 51.473 * [backup-simplify]: Simplify -2 into -2 51.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.473 * [taylor]: Taking taylor expansion of PI in n 51.473 * [backup-simplify]: Simplify PI into PI 51.473 * [taylor]: Taking taylor expansion of n in n 51.473 * [backup-simplify]: Simplify 0 into 0 51.473 * [backup-simplify]: Simplify 1 into 1 51.473 * [backup-simplify]: Simplify (/ PI 1) into PI 51.474 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.474 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.476 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.476 * [backup-simplify]: Simplify 0 into 0 51.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.478 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.478 * [backup-simplify]: Simplify 0 into 0 51.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.480 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.480 * [backup-simplify]: Simplify 0 into 0 51.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.482 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.482 * [backup-simplify]: Simplify 0 into 0 51.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.485 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.485 * [backup-simplify]: Simplify 0 into 0 51.492 * [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 51.494 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.495 * [backup-simplify]: Simplify 0 into 0 51.495 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.495 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 51.496 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 51.496 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 51.496 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.496 * [taylor]: Taking taylor expansion of 2 in n 51.496 * [backup-simplify]: Simplify 2 into 2 51.496 * [taylor]: Taking taylor expansion of (* n PI) in n 51.496 * [taylor]: Taking taylor expansion of n in n 51.496 * [backup-simplify]: Simplify 0 into 0 51.496 * [backup-simplify]: Simplify 1 into 1 51.496 * [taylor]: Taking taylor expansion of PI in n 51.496 * [backup-simplify]: Simplify PI into PI 51.496 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 51.496 * [taylor]: Taking taylor expansion of 2 in n 51.496 * [backup-simplify]: Simplify 2 into 2 51.496 * [taylor]: Taking taylor expansion of (* n PI) in n 51.496 * [taylor]: Taking taylor expansion of n in n 51.496 * [backup-simplify]: Simplify 0 into 0 51.496 * [backup-simplify]: Simplify 1 into 1 51.496 * [taylor]: Taking taylor expansion of PI in n 51.496 * [backup-simplify]: Simplify PI into PI 51.497 * [backup-simplify]: Simplify (* 0 PI) into 0 51.497 * [backup-simplify]: Simplify (* 2 0) into 0 51.497 * [backup-simplify]: Simplify 0 into 0 51.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 51.500 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 51.501 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 51.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 51.503 * [backup-simplify]: Simplify 0 into 0 51.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 51.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 51.505 * [backup-simplify]: Simplify 0 into 0 51.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 51.508 * [backup-simplify]: Simplify 0 into 0 51.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 51.511 * [backup-simplify]: Simplify 0 into 0 51.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 51.514 * [backup-simplify]: Simplify 0 into 0 51.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 51.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 51.517 * [backup-simplify]: Simplify 0 into 0 51.518 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 51.518 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 51.518 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 51.518 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.518 * [taylor]: Taking taylor expansion of 2 in n 51.518 * [backup-simplify]: Simplify 2 into 2 51.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.518 * [taylor]: Taking taylor expansion of PI in n 51.518 * [backup-simplify]: Simplify PI into PI 51.518 * [taylor]: Taking taylor expansion of n in n 51.518 * [backup-simplify]: Simplify 0 into 0 51.518 * [backup-simplify]: Simplify 1 into 1 51.518 * [backup-simplify]: Simplify (/ PI 1) into PI 51.518 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 51.518 * [taylor]: Taking taylor expansion of 2 in n 51.518 * [backup-simplify]: Simplify 2 into 2 51.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.518 * [taylor]: Taking taylor expansion of PI in n 51.518 * [backup-simplify]: Simplify PI into PI 51.518 * [taylor]: Taking taylor expansion of n in n 51.518 * [backup-simplify]: Simplify 0 into 0 51.518 * [backup-simplify]: Simplify 1 into 1 51.519 * [backup-simplify]: Simplify (/ PI 1) into PI 51.519 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.519 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 51.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 51.520 * [backup-simplify]: Simplify 0 into 0 51.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 51.521 * [backup-simplify]: Simplify 0 into 0 51.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.523 * [backup-simplify]: Simplify 0 into 0 51.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.524 * [backup-simplify]: Simplify 0 into 0 51.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.525 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.525 * [backup-simplify]: Simplify 0 into 0 51.526 * [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 51.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.527 * [backup-simplify]: Simplify 0 into 0 51.527 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 51.527 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 51.527 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 51.527 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.527 * [taylor]: Taking taylor expansion of -2 in n 51.527 * [backup-simplify]: Simplify -2 into -2 51.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.528 * [taylor]: Taking taylor expansion of PI in n 51.528 * [backup-simplify]: Simplify PI into PI 51.528 * [taylor]: Taking taylor expansion of n in n 51.528 * [backup-simplify]: Simplify 0 into 0 51.528 * [backup-simplify]: Simplify 1 into 1 51.528 * [backup-simplify]: Simplify (/ PI 1) into PI 51.528 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 51.528 * [taylor]: Taking taylor expansion of -2 in n 51.528 * [backup-simplify]: Simplify -2 into -2 51.528 * [taylor]: Taking taylor expansion of (/ PI n) in n 51.528 * [taylor]: Taking taylor expansion of PI in n 51.528 * [backup-simplify]: Simplify PI into PI 51.528 * [taylor]: Taking taylor expansion of n in n 51.528 * [backup-simplify]: Simplify 0 into 0 51.528 * [backup-simplify]: Simplify 1 into 1 51.528 * [backup-simplify]: Simplify (/ PI 1) into PI 51.529 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.529 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 51.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 51.530 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 51.530 * [backup-simplify]: Simplify 0 into 0 51.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.531 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 51.531 * [backup-simplify]: Simplify 0 into 0 51.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.532 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 51.532 * [backup-simplify]: Simplify 0 into 0 51.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.534 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 51.534 * [backup-simplify]: Simplify 0 into 0 51.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 51.535 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 51.535 * [backup-simplify]: Simplify 0 into 0 51.536 * [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 51.536 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 51.536 * [backup-simplify]: Simplify 0 into 0 51.537 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 51.537 * * * [progress]: simplifying candidates 51.537 * * * * [progress]: [ 1 / 234 ] simplifiying candidate # 51.537 * * * * [progress]: [ 2 / 234 ] simplifiying candidate # 51.537 * * * * [progress]: [ 3 / 234 ] simplifiying candidate # 51.537 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 51.537 * * [simplify]: iters left: 6 (14 enodes) 51.541 * * [simplify]: iters left: 5 (60 enodes) 51.559 * * [simplify]: iters left: 4 (108 enodes) 51.601 * * [simplify]: iters left: 3 (255 enodes) 51.692 * * [simplify]: Extracting #0: cost 1 inf + 0 51.692 * * [simplify]: Extracting #1: cost 34 inf + 0 51.692 * * [simplify]: Extracting #2: cost 122 inf + 73 51.693 * * [simplify]: Extracting #3: cost 134 inf + 2876 51.696 * * [simplify]: Extracting #4: cost 49 inf + 20493 51.710 * * [simplify]: Extracting #5: cost 4 inf + 30853 51.720 * * [simplify]: Extracting #6: cost 0 inf + 31808 51.727 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 51.727 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))))))) 51.727 * * * * [progress]: [ 4 / 234 ] simplifiying candidate # 51.727 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 51.727 * * [simplify]: iters left: 6 (13 enodes) 51.732 * * [simplify]: iters left: 5 (58 enodes) 51.742 * * [simplify]: iters left: 4 (101 enodes) 51.774 * * [simplify]: iters left: 3 (211 enodes) 51.838 * * [simplify]: Extracting #0: cost 1 inf + 0 51.838 * * [simplify]: Extracting #1: cost 28 inf + 0 51.839 * * [simplify]: Extracting #2: cost 110 inf + 73 51.840 * * [simplify]: Extracting #3: cost 127 inf + 1744 51.843 * * [simplify]: Extracting #4: cost 73 inf + 10230 51.850 * * [simplify]: Extracting #5: cost 26 inf + 20266 51.860 * * [simplify]: Extracting #6: cost 6 inf + 24692 51.871 * * [simplify]: Extracting #7: cost 0 inf + 26084 51.882 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 51.882 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))))))) 51.882 * * * * [progress]: [ 5 / 234 ] simplifiying candidate # 51.883 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 51.883 * * [simplify]: iters left: 6 (12 enodes) 51.890 * * [simplify]: iters left: 5 (57 enodes) 51.911 * * [simplify]: iters left: 4 (111 enodes) 51.940 * * [simplify]: iters left: 3 (214 enodes) 52.006 * * [simplify]: iters left: 2 (472 enodes) 52.209 * * [simplify]: Extracting #0: cost 1 inf + 0 52.209 * * [simplify]: Extracting #1: cost 40 inf + 0 52.210 * * [simplify]: Extracting #2: cost 158 inf + 4 52.213 * * [simplify]: Extracting #3: cost 193 inf + 1443 52.221 * * [simplify]: Extracting #4: cost 88 inf + 19136 52.245 * * [simplify]: Extracting #5: cost 7 inf + 36795 52.261 * * [simplify]: Extracting #6: cost 0 inf + 38243 52.270 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 52.270 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4))))) 52.270 * * * * [progress]: [ 6 / 234 ] simplifiying candidate # 52.270 * * * * [progress]: [ 7 / 234 ] simplifiying candidate # 52.271 * [simplify]: Simplifying (* n (* 2 PI)) 52.271 * * [simplify]: iters left: 4 (5 enodes) 52.272 * * [simplify]: iters left: 3 (19 enodes) 52.275 * * [simplify]: iters left: 2 (27 enodes) 52.279 * * [simplify]: iters left: 1 (32 enodes) 52.283 * * [simplify]: Extracting #0: cost 1 inf + 0 52.284 * * [simplify]: Extracting #1: cost 8 inf + 0 52.284 * * [simplify]: Extracting #2: cost 7 inf + 45 52.284 * * [simplify]: Extracting #3: cost 0 inf + 421 52.284 * [simplify]: Simplified to (* (* PI 2) n) 52.284 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 52.284 * * * * [progress]: [ 8 / 234 ] simplifiying candidate # 52.284 * [simplify]: Simplifying (* n (* 2 PI)) 52.284 * * [simplify]: iters left: 4 (5 enodes) 52.286 * * [simplify]: iters left: 3 (19 enodes) 52.289 * * [simplify]: iters left: 2 (27 enodes) 52.292 * * [simplify]: iters left: 1 (32 enodes) 52.301 * * [simplify]: Extracting #0: cost 1 inf + 0 52.301 * * [simplify]: Extracting #1: cost 8 inf + 0 52.301 * * [simplify]: Extracting #2: cost 7 inf + 45 52.301 * * [simplify]: Extracting #3: cost 0 inf + 421 52.301 * [simplify]: Simplified to (* (* PI 2) n) 52.301 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 52.302 * * * * [progress]: [ 9 / 234 ] simplifiying candidate # 52.302 * [simplify]: Simplifying (* n (* 2 PI)) 52.302 * * [simplify]: iters left: 4 (5 enodes) 52.305 * * [simplify]: iters left: 3 (19 enodes) 52.312 * * [simplify]: iters left: 2 (27 enodes) 52.320 * * [simplify]: iters left: 1 (32 enodes) 52.328 * * [simplify]: Extracting #0: cost 1 inf + 0 52.328 * * [simplify]: Extracting #1: cost 8 inf + 0 52.328 * * [simplify]: Extracting #2: cost 7 inf + 45 52.329 * * [simplify]: Extracting #3: cost 0 inf + 421 52.329 * [simplify]: Simplified to (* (* PI 2) n) 52.329 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2)))))) 52.329 * * * * [progress]: [ 10 / 234 ] simplifiying candidate # 52.329 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 52.329 * * [simplify]: iters left: 5 (9 enodes) 52.334 * * [simplify]: iters left: 4 (37 enodes) 52.346 * * [simplify]: iters left: 3 (57 enodes) 52.367 * * [simplify]: iters left: 2 (93 enodes) 52.383 * * [simplify]: iters left: 1 (170 enodes) 52.415 * * [simplify]: Extracting #0: cost 1 inf + 0 52.415 * * [simplify]: Extracting #1: cost 13 inf + 0 52.415 * * [simplify]: Extracting #2: cost 59 inf + 1 52.415 * * [simplify]: Extracting #3: cost 78 inf + 176 52.416 * * [simplify]: Extracting #4: cost 40 inf + 3875 52.418 * * [simplify]: Extracting #5: cost 7 inf + 16988 52.421 * * [simplify]: Extracting #6: cost 0 inf + 20577 52.424 * * [simplify]: Extracting #7: cost 0 inf + 20336 52.427 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 52.427 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4)))))) 52.427 * * * * [progress]: [ 11 / 234 ] simplifiying candidate # 52.427 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 52.427 * * [simplify]: iters left: 6 (7 enodes) 52.433 * * [simplify]: iters left: 5 (32 enodes) 52.439 * * [simplify]: iters left: 4 (47 enodes) 52.447 * * [simplify]: iters left: 3 (53 enodes) 52.461 * * [simplify]: iters left: 2 (60 enodes) 52.478 * * [simplify]: Extracting #0: cost 1 inf + 0 52.478 * * [simplify]: Extracting #1: cost 3 inf + 0 52.478 * * [simplify]: Extracting #2: cost 11 inf + 0 52.478 * * [simplify]: Extracting #3: cost 17 inf + 3 52.478 * * [simplify]: Extracting #4: cost 14 inf + 129 52.479 * * [simplify]: Extracting #5: cost 3 inf + 794 52.479 * * [simplify]: Extracting #6: cost 0 inf + 1162 52.480 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 52.480 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4))))))) 52.480 * * * * [progress]: [ 12 / 234 ] simplifiying candidate # 52.480 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 52.480 * * [simplify]: iters left: 6 (7 enodes) 52.486 * * [simplify]: iters left: 5 (32 enodes) 52.497 * * [simplify]: iters left: 4 (47 enodes) 52.511 * * [simplify]: iters left: 3 (53 enodes) 52.526 * * [simplify]: iters left: 2 (60 enodes) 52.534 * * [simplify]: Extracting #0: cost 1 inf + 0 52.534 * * [simplify]: Extracting #1: cost 3 inf + 0 52.534 * * [simplify]: Extracting #2: cost 11 inf + 0 52.534 * * [simplify]: Extracting #3: cost 17 inf + 3 52.534 * * [simplify]: Extracting #4: cost 14 inf + 129 52.535 * * [simplify]: Extracting #5: cost 3 inf + 794 52.535 * * [simplify]: Extracting #6: cost 0 inf + 1082 52.535 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 52.535 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4))))))) 52.535 * * * * [progress]: [ 13 / 234 ] simplifiying candidate # 52.535 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 52.535 * * [simplify]: iters left: 6 (8 enodes) 52.538 * * [simplify]: iters left: 5 (32 enodes) 52.544 * * [simplify]: iters left: 4 (41 enodes) 52.553 * * [simplify]: Extracting #0: cost 1 inf + 0 52.554 * * [simplify]: Extracting #1: cost 4 inf + 0 52.554 * * [simplify]: Extracting #2: cost 8 inf + 0 52.554 * * [simplify]: Extracting #3: cost 9 inf + 163 52.554 * * [simplify]: Extracting #4: cost 13 inf + 164 52.554 * * [simplify]: Extracting #5: cost 10 inf + 249 52.554 * * [simplify]: Extracting #6: cost 3 inf + 986 52.554 * * [simplify]: Extracting #7: cost 0 inf + 1474 52.555 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 52.555 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)))))) 52.555 * * * * [progress]: [ 14 / 234 ] simplifiying candidate # 52.555 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 52.555 * * [simplify]: iters left: 6 (8 enodes) 52.558 * * [simplify]: iters left: 5 (32 enodes) 52.566 * * [simplify]: iters left: 4 (41 enodes) 52.579 * * [simplify]: Extracting #0: cost 1 inf + 0 52.579 * * [simplify]: Extracting #1: cost 4 inf + 0 52.579 * * [simplify]: Extracting #2: cost 8 inf + 0 52.579 * * [simplify]: Extracting #3: cost 9 inf + 83 52.580 * * [simplify]: Extracting #4: cost 13 inf + 84 52.580 * * [simplify]: Extracting #5: cost 10 inf + 169 52.580 * * [simplify]: Extracting #6: cost 3 inf + 866 52.580 * * [simplify]: Extracting #7: cost 0 inf + 1314 52.581 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 52.581 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)))))) 52.581 * * * * [progress]: [ 15 / 234 ] simplifiying candidate # 52.582 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 52.582 * * [simplify]: iters left: 6 (7 enodes) 52.587 * * [simplify]: iters left: 5 (29 enodes) 52.597 * * [simplify]: iters left: 4 (38 enodes) 52.608 * * [simplify]: Extracting #0: cost 1 inf + 0 52.608 * * [simplify]: Extracting #1: cost 4 inf + 0 52.608 * * [simplify]: Extracting #2: cost 5 inf + 1 52.608 * * [simplify]: Extracting #3: cost 9 inf + 1 52.608 * * [simplify]: Extracting #4: cost 13 inf + 2 52.608 * * [simplify]: Extracting #5: cost 12 inf + 4 52.608 * * [simplify]: Extracting #6: cost 2 inf + 746 52.609 * * [simplify]: Extracting #7: cost 0 inf + 1152 52.609 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 52.609 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2))))) 52.609 * * * * [progress]: [ 16 / 234 ] simplifiying candidate # 52.610 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 52.610 * * [simplify]: iters left: 6 (8 enodes) 52.615 * * [simplify]: iters left: 5 (32 enodes) 52.626 * * [simplify]: iters left: 4 (41 enodes) 52.639 * * [simplify]: Extracting #0: cost 1 inf + 0 52.639 * * [simplify]: Extracting #1: cost 4 inf + 0 52.639 * * [simplify]: Extracting #2: cost 8 inf + 0 52.639 * * [simplify]: Extracting #3: cost 9 inf + 163 52.639 * * [simplify]: Extracting #4: cost 13 inf + 164 52.640 * * [simplify]: Extracting #5: cost 10 inf + 249 52.640 * * [simplify]: Extracting #6: cost 3 inf + 906 52.640 * * [simplify]: Extracting #7: cost 0 inf + 1314 52.641 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 52.641 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)))))) 52.641 * * * * [progress]: [ 17 / 234 ] simplifiying candidate # 52.641 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 52.642 * * [simplify]: iters left: 6 (8 enodes) 52.647 * * [simplify]: iters left: 5 (32 enodes) 52.658 * * [simplify]: iters left: 4 (41 enodes) 52.671 * * [simplify]: Extracting #0: cost 1 inf + 0 52.671 * * [simplify]: Extracting #1: cost 4 inf + 0 52.671 * * [simplify]: Extracting #2: cost 8 inf + 0 52.672 * * [simplify]: Extracting #3: cost 9 inf + 83 52.672 * * [simplify]: Extracting #4: cost 13 inf + 84 52.672 * * [simplify]: Extracting #5: cost 10 inf + 169 52.672 * * [simplify]: Extracting #6: cost 3 inf + 786 52.673 * * [simplify]: Extracting #7: cost 0 inf + 1154 52.673 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 52.673 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))))) 52.673 * * * * [progress]: [ 18 / 234 ] simplifiying candidate # 52.674 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 52.674 * * [simplify]: iters left: 6 (7 enodes) 52.678 * * [simplify]: iters left: 5 (29 enodes) 52.688 * * [simplify]: iters left: 4 (38 enodes) 52.704 * * [simplify]: Extracting #0: cost 1 inf + 0 52.704 * * [simplify]: Extracting #1: cost 4 inf + 0 52.704 * * [simplify]: Extracting #2: cost 5 inf + 1 52.704 * * [simplify]: Extracting #3: cost 9 inf + 1 52.705 * * [simplify]: Extracting #4: cost 13 inf + 2 52.705 * * [simplify]: Extracting #5: cost 12 inf + 4 52.705 * * [simplify]: Extracting #6: cost 2 inf + 666 52.705 * * [simplify]: Extracting #7: cost 0 inf + 992 52.706 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 52.706 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2))))) 52.706 * * * * [progress]: [ 19 / 234 ] simplifiying candidate # 52.706 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 52.706 * * [simplify]: iters left: 6 (8 enodes) 52.711 * * [simplify]: iters left: 5 (30 enodes) 52.721 * * [simplify]: iters left: 4 (37 enodes) 52.732 * * [simplify]: Extracting #0: cost 1 inf + 0 52.732 * * [simplify]: Extracting #1: cost 6 inf + 0 52.732 * * [simplify]: Extracting #2: cost 12 inf + 0 52.733 * * [simplify]: Extracting #3: cost 11 inf + 405 52.733 * * [simplify]: Extracting #4: cost 10 inf + 407 52.733 * * [simplify]: Extracting #5: cost 4 inf + 1220 52.734 * * [simplify]: Extracting #6: cost 0 inf + 1869 52.734 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 52.734 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 52.734 * * * * [progress]: [ 20 / 234 ] simplifiying candidate # 52.735 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 52.735 * * [simplify]: iters left: 6 (9 enodes) 52.740 * * [simplify]: iters left: 5 (33 enodes) 52.752 * * [simplify]: iters left: 4 (43 enodes) 52.761 * * [simplify]: iters left: 3 (45 enodes) 52.767 * * [simplify]: Extracting #0: cost 1 inf + 0 52.767 * * [simplify]: Extracting #1: cost 8 inf + 0 52.767 * * [simplify]: Extracting #2: cost 16 inf + 0 52.767 * * [simplify]: Extracting #3: cost 16 inf + 284 52.767 * * [simplify]: Extracting #4: cost 11 inf + 610 52.767 * * [simplify]: Extracting #5: cost 8 inf + 815 52.768 * * [simplify]: Extracting #6: cost 0 inf + 2517 52.768 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 52.768 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 52.768 * * * * [progress]: [ 21 / 234 ] simplifiying candidate # 52.768 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 52.768 * * [simplify]: iters left: 6 (8 enodes) 52.771 * * [simplify]: iters left: 5 (30 enodes) 52.776 * * [simplify]: iters left: 4 (40 enodes) 52.781 * * [simplify]: iters left: 3 (42 enodes) 52.790 * * [simplify]: Extracting #0: cost 1 inf + 0 52.790 * * [simplify]: Extracting #1: cost 8 inf + 0 52.790 * * [simplify]: Extracting #2: cost 12 inf + 82 52.790 * * [simplify]: Extracting #3: cost 13 inf + 405 52.791 * * [simplify]: Extracting #4: cost 12 inf + 407 52.791 * * [simplify]: Extracting #5: cost 5 inf + 1383 52.791 * * [simplify]: Extracting #6: cost 0 inf + 2195 52.792 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 52.792 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2))))))) 52.792 * * * * [progress]: [ 22 / 234 ] simplifiying candidate # 52.793 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 52.793 * * [simplify]: iters left: 6 (9 enodes) 52.798 * * [simplify]: iters left: 5 (33 enodes) 52.809 * * [simplify]: iters left: 4 (43 enodes) 52.822 * * [simplify]: iters left: 3 (45 enodes) 52.840 * * [simplify]: Extracting #0: cost 1 inf + 0 52.840 * * [simplify]: Extracting #1: cost 8 inf + 0 52.840 * * [simplify]: Extracting #2: cost 16 inf + 0 52.840 * * [simplify]: Extracting #3: cost 16 inf + 284 52.841 * * [simplify]: Extracting #4: cost 11 inf + 610 52.841 * * [simplify]: Extracting #5: cost 8 inf + 815 52.842 * * [simplify]: Extracting #6: cost 0 inf + 2517 52.842 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 52.843 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 52.843 * * * * [progress]: [ 23 / 234 ] simplifiying candidate # 52.844 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 52.844 * * [simplify]: iters left: 6 (8 enodes) 52.849 * * [simplify]: iters left: 5 (30 enodes) 52.854 * * [simplify]: iters left: 4 (35 enodes) 52.859 * * [simplify]: Extracting #0: cost 1 inf + 0 52.859 * * [simplify]: Extracting #1: cost 6 inf + 0 52.859 * * [simplify]: Extracting #2: cost 8 inf + 42 52.859 * * [simplify]: Extracting #3: cost 11 inf + 83 52.859 * * [simplify]: Extracting #4: cost 10 inf + 85 52.859 * * [simplify]: Extracting #5: cost 4 inf + 658 52.860 * * [simplify]: Extracting #6: cost 0 inf + 1227 52.860 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 52.860 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2))))) 52.860 * * * * [progress]: [ 24 / 234 ] simplifiying candidate # 52.860 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 52.860 * * [simplify]: iters left: 6 (8 enodes) 52.863 * * [simplify]: iters left: 5 (30 enodes) 52.868 * * [simplify]: iters left: 4 (40 enodes) 52.874 * * [simplify]: iters left: 3 (42 enodes) 52.883 * * [simplify]: Extracting #0: cost 1 inf + 0 52.883 * * [simplify]: Extracting #1: cost 8 inf + 0 52.883 * * [simplify]: Extracting #2: cost 12 inf + 42 52.883 * * [simplify]: Extracting #3: cost 13 inf + 245 52.883 * * [simplify]: Extracting #4: cost 12 inf + 247 52.883 * * [simplify]: Extracting #5: cost 5 inf + 1143 52.884 * * [simplify]: Extracting #6: cost 0 inf + 1875 52.885 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 52.885 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2))))))) 52.885 * * * * [progress]: [ 25 / 234 ] simplifiying candidate # 52.885 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 52.885 * * [simplify]: iters left: 6 (8 enodes) 52.890 * * [simplify]: iters left: 5 (30 enodes) 52.900 * * [simplify]: iters left: 4 (40 enodes) 52.911 * * [simplify]: iters left: 3 (42 enodes) 52.918 * * [simplify]: Extracting #0: cost 1 inf + 0 52.918 * * [simplify]: Extracting #1: cost 8 inf + 0 52.918 * * [simplify]: Extracting #2: cost 11 inf + 203 52.918 * * [simplify]: Extracting #3: cost 13 inf + 405 52.918 * * [simplify]: Extracting #4: cost 12 inf + 407 52.918 * * [simplify]: Extracting #5: cost 3 inf + 1789 52.918 * * [simplify]: Extracting #6: cost 0 inf + 2195 52.919 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 52.919 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2)))))) 52.919 * * * * [progress]: [ 26 / 234 ] simplifiying candidate # 52.919 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 52.919 * * [simplify]: iters left: 6 (8 enodes) 52.922 * * [simplify]: iters left: 5 (30 enodes) 52.927 * * [simplify]: iters left: 4 (40 enodes) 52.933 * * [simplify]: iters left: 3 (42 enodes) 52.943 * * [simplify]: Extracting #0: cost 1 inf + 0 52.943 * * [simplify]: Extracting #1: cost 8 inf + 0 52.943 * * [simplify]: Extracting #2: cost 11 inf + 123 52.943 * * [simplify]: Extracting #3: cost 13 inf + 245 52.943 * * [simplify]: Extracting #4: cost 12 inf + 247 52.944 * * [simplify]: Extracting #5: cost 3 inf + 1509 52.944 * * [simplify]: Extracting #6: cost 0 inf + 1875 52.945 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 52.945 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2)))))) 52.945 * * * * [progress]: [ 27 / 234 ] simplifiying candidate # 52.946 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 52.946 * * [simplify]: iters left: 6 (7 enodes) 52.950 * * [simplify]: iters left: 5 (28 enodes) 52.960 * * [simplify]: iters left: 4 (35 enodes) 52.970 * * [simplify]: Extracting #0: cost 1 inf + 0 52.970 * * [simplify]: Extracting #1: cost 6 inf + 0 52.970 * * [simplify]: Extracting #2: cost 7 inf + 2 52.970 * * [simplify]: Extracting #3: cost 11 inf + 2 52.970 * * [simplify]: Extracting #4: cost 9 inf + 45 52.970 * * [simplify]: Extracting #5: cost 4 inf + 455 52.970 * * [simplify]: Extracting #6: cost 0 inf + 1066 52.971 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 52.971 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4))))) 52.971 * * * * [progress]: [ 28 / 234 ] simplifiying candidate # 52.971 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 52.972 * * [simplify]: iters left: 6 (8 enodes) 52.976 * * [simplify]: iters left: 5 (30 enodes) 52.987 * * [simplify]: iters left: 4 (37 enodes) 52.998 * * [simplify]: Extracting #0: cost 1 inf + 0 52.998 * * [simplify]: Extracting #1: cost 6 inf + 0 52.998 * * [simplify]: Extracting #2: cost 12 inf + 0 52.998 * * [simplify]: Extracting #3: cost 11 inf + 405 52.999 * * [simplify]: Extracting #4: cost 10 inf + 407 52.999 * * [simplify]: Extracting #5: cost 4 inf + 1100 52.999 * * [simplify]: Extracting #6: cost 0 inf + 1629 53.000 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 53.000 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))))) 53.000 * * * * [progress]: [ 29 / 234 ] simplifiying candidate # 53.001 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.001 * * [simplify]: iters left: 6 (9 enodes) 53.007 * * [simplify]: iters left: 5 (33 enodes) 53.017 * * [simplify]: iters left: 4 (43 enodes) 53.026 * * [simplify]: iters left: 3 (45 enodes) 53.033 * * [simplify]: Extracting #0: cost 1 inf + 0 53.033 * * [simplify]: Extracting #1: cost 8 inf + 0 53.033 * * [simplify]: Extracting #2: cost 16 inf + 0 53.033 * * [simplify]: Extracting #3: cost 16 inf + 284 53.033 * * [simplify]: Extracting #4: cost 11 inf + 610 53.033 * * [simplify]: Extracting #5: cost 8 inf + 775 53.033 * * [simplify]: Extracting #6: cost 0 inf + 2197 53.034 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 53.034 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)))))) 53.034 * * * * [progress]: [ 30 / 234 ] simplifiying candidate # 53.034 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 53.034 * * [simplify]: iters left: 6 (8 enodes) 53.037 * * [simplify]: iters left: 5 (30 enodes) 53.042 * * [simplify]: iters left: 4 (40 enodes) 53.048 * * [simplify]: iters left: 3 (42 enodes) 53.060 * * [simplify]: Extracting #0: cost 1 inf + 0 53.061 * * [simplify]: Extracting #1: cost 8 inf + 0 53.061 * * [simplify]: Extracting #2: cost 12 inf + 82 53.061 * * [simplify]: Extracting #3: cost 13 inf + 405 53.061 * * [simplify]: Extracting #4: cost 12 inf + 407 53.061 * * [simplify]: Extracting #5: cost 5 inf + 1223 53.062 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.062 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 53.062 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2))))))) 53.063 * * * * [progress]: [ 31 / 234 ] simplifiying candidate # 53.063 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.063 * * [simplify]: iters left: 6 (9 enodes) 53.389 * * [simplify]: iters left: 5 (33 enodes) 53.400 * * [simplify]: iters left: 4 (43 enodes) 53.413 * * [simplify]: iters left: 3 (45 enodes) 53.422 * * [simplify]: Extracting #0: cost 1 inf + 0 53.422 * * [simplify]: Extracting #1: cost 8 inf + 0 53.422 * * [simplify]: Extracting #2: cost 16 inf + 0 53.422 * * [simplify]: Extracting #3: cost 16 inf + 284 53.422 * * [simplify]: Extracting #4: cost 11 inf + 610 53.422 * * [simplify]: Extracting #5: cost 8 inf + 775 53.423 * * [simplify]: Extracting #6: cost 0 inf + 2197 53.423 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 53.423 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)))))) 53.423 * * * * [progress]: [ 32 / 234 ] simplifiying candidate # 53.423 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 53.423 * * [simplify]: iters left: 6 (8 enodes) 53.426 * * [simplify]: iters left: 5 (30 enodes) 53.431 * * [simplify]: iters left: 4 (35 enodes) 53.438 * * [simplify]: Extracting #0: cost 1 inf + 0 53.438 * * [simplify]: Extracting #1: cost 6 inf + 0 53.438 * * [simplify]: Extracting #2: cost 8 inf + 42 53.438 * * [simplify]: Extracting #3: cost 11 inf + 83 53.438 * * [simplify]: Extracting #4: cost 10 inf + 85 53.438 * * [simplify]: Extracting #5: cost 4 inf + 538 53.438 * * [simplify]: Extracting #6: cost 0 inf + 987 53.438 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 53.438 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2))))) 53.439 * * * * [progress]: [ 33 / 234 ] simplifiying candidate # 53.439 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 53.439 * * [simplify]: iters left: 6 (8 enodes) 53.441 * * [simplify]: iters left: 5 (30 enodes) 53.447 * * [simplify]: iters left: 4 (40 enodes) 53.452 * * [simplify]: iters left: 3 (42 enodes) 53.459 * * [simplify]: Extracting #0: cost 1 inf + 0 53.459 * * [simplify]: Extracting #1: cost 8 inf + 0 53.459 * * [simplify]: Extracting #2: cost 12 inf + 42 53.459 * * [simplify]: Extracting #3: cost 13 inf + 245 53.459 * * [simplify]: Extracting #4: cost 12 inf + 247 53.459 * * [simplify]: Extracting #5: cost 5 inf + 983 53.459 * * [simplify]: Extracting #6: cost 0 inf + 1555 53.460 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 53.460 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2))))))) 53.460 * * * * [progress]: [ 34 / 234 ] simplifiying candidate # 53.460 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 53.460 * * [simplify]: iters left: 6 (8 enodes) 53.464 * * [simplify]: iters left: 5 (30 enodes) 53.473 * * [simplify]: iters left: 4 (40 enodes) 53.485 * * [simplify]: iters left: 3 (42 enodes) 53.491 * * [simplify]: Extracting #0: cost 1 inf + 0 53.491 * * [simplify]: Extracting #1: cost 8 inf + 0 53.491 * * [simplify]: Extracting #2: cost 11 inf + 203 53.491 * * [simplify]: Extracting #3: cost 13 inf + 405 53.491 * * [simplify]: Extracting #4: cost 12 inf + 407 53.494 * * [simplify]: Extracting #5: cost 3 inf + 1549 53.494 * * [simplify]: Extracting #6: cost 0 inf + 1875 53.494 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 53.494 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2)))))) 53.494 * * * * [progress]: [ 35 / 234 ] simplifiying candidate # 53.495 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 53.495 * * [simplify]: iters left: 6 (8 enodes) 53.497 * * [simplify]: iters left: 5 (30 enodes) 53.502 * * [simplify]: iters left: 4 (40 enodes) 53.508 * * [simplify]: iters left: 3 (42 enodes) 53.515 * * [simplify]: Extracting #0: cost 1 inf + 0 53.515 * * [simplify]: Extracting #1: cost 8 inf + 0 53.515 * * [simplify]: Extracting #2: cost 11 inf + 123 53.515 * * [simplify]: Extracting #3: cost 13 inf + 245 53.515 * * [simplify]: Extracting #4: cost 12 inf + 247 53.516 * * [simplify]: Extracting #5: cost 3 inf + 1269 53.516 * * [simplify]: Extracting #6: cost 0 inf + 1555 53.517 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 53.517 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2)))))) 53.517 * * * * [progress]: [ 36 / 234 ] simplifiying candidate # 53.517 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 53.517 * * [simplify]: iters left: 6 (7 enodes) 53.522 * * [simplify]: iters left: 5 (28 enodes) 53.531 * * [simplify]: iters left: 4 (35 enodes) 53.542 * * [simplify]: Extracting #0: cost 1 inf + 0 53.542 * * [simplify]: Extracting #1: cost 6 inf + 0 53.542 * * [simplify]: Extracting #2: cost 7 inf + 2 53.542 * * [simplify]: Extracting #3: cost 11 inf + 2 53.542 * * [simplify]: Extracting #4: cost 9 inf + 45 53.542 * * [simplify]: Extracting #5: cost 4 inf + 375 53.543 * * [simplify]: Extracting #6: cost 0 inf + 826 53.543 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 53.543 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4))))) 53.544 * * * * [progress]: [ 37 / 234 ] simplifiying candidate # 53.544 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 53.544 * * [simplify]: iters left: 6 (7 enodes) 53.548 * * [simplify]: iters left: 5 (30 enodes) 53.558 * * [simplify]: iters left: 4 (49 enodes) 53.574 * * [simplify]: iters left: 3 (59 enodes) 53.589 * * [simplify]: iters left: 2 (64 enodes) 53.598 * * [simplify]: Extracting #0: cost 1 inf + 0 53.598 * * [simplify]: Extracting #1: cost 9 inf + 0 53.598 * * [simplify]: Extracting #2: cost 23 inf + 0 53.598 * * [simplify]: Extracting #3: cost 24 inf + 3 53.598 * * [simplify]: Extracting #4: cost 15 inf + 980 53.598 * * [simplify]: Extracting #5: cost 1 inf + 3007 53.599 * * [simplify]: Extracting #6: cost 0 inf + 3169 53.599 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 53.599 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 53.600 * * * * [progress]: [ 38 / 234 ] simplifiying candidate # 53.600 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.600 * * [simplify]: iters left: 6 (8 enodes) 53.602 * * [simplify]: iters left: 5 (33 enodes) 53.610 * * [simplify]: iters left: 4 (55 enodes) 53.624 * * [simplify]: iters left: 3 (72 enodes) 53.645 * * [simplify]: iters left: 2 (84 enodes) 53.669 * * [simplify]: iters left: 1 (88 enodes) 53.692 * * [simplify]: Extracting #0: cost 1 inf + 0 53.692 * * [simplify]: Extracting #1: cost 11 inf + 0 53.692 * * [simplify]: Extracting #2: cost 30 inf + 0 53.692 * * [simplify]: Extracting #3: cost 33 inf + 84 53.693 * * [simplify]: Extracting #4: cost 12 inf + 2402 53.694 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.696 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.696 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 53.696 * * * * [progress]: [ 39 / 234 ] simplifiying candidate # 53.696 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 53.696 * * [simplify]: iters left: 6 (7 enodes) 53.701 * * [simplify]: iters left: 5 (30 enodes) 53.712 * * [simplify]: iters left: 4 (52 enodes) 53.729 * * [simplify]: iters left: 3 (70 enodes) 53.749 * * [simplify]: iters left: 2 (81 enodes) 53.768 * * [simplify]: iters left: 1 (84 enodes) 53.778 * * [simplify]: Extracting #0: cost 1 inf + 0 53.779 * * [simplify]: Extracting #1: cost 11 inf + 0 53.779 * * [simplify]: Extracting #2: cost 25 inf + 203 53.779 * * [simplify]: Extracting #3: cost 25 inf + 530 53.779 * * [simplify]: Extracting #4: cost 4 inf + 2936 53.780 * * [simplify]: Extracting #5: cost 0 inf + 3504 53.780 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 53.780 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 53.781 * * * * [progress]: [ 40 / 234 ] simplifiying candidate # 53.781 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 53.781 * * [simplify]: iters left: 6 (8 enodes) 53.783 * * [simplify]: iters left: 5 (33 enodes) 53.789 * * [simplify]: iters left: 4 (55 enodes) 53.798 * * [simplify]: iters left: 3 (72 enodes) 53.820 * * [simplify]: iters left: 2 (84 enodes) 53.834 * * [simplify]: iters left: 1 (88 enodes) 53.845 * * [simplify]: Extracting #0: cost 1 inf + 0 53.845 * * [simplify]: Extracting #1: cost 11 inf + 0 53.845 * * [simplify]: Extracting #2: cost 30 inf + 0 53.845 * * [simplify]: Extracting #3: cost 33 inf + 44 53.845 * * [simplify]: Extracting #4: cost 12 inf + 2362 53.846 * * [simplify]: Extracting #5: cost 0 inf + 4469 53.848 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 53.848 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 53.848 * * * * [progress]: [ 41 / 234 ] simplifiying candidate # 53.849 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 53.849 * * [simplify]: iters left: 6 (7 enodes) 53.851 * * [simplify]: iters left: 5 (30 enodes) 53.857 * * [simplify]: iters left: 4 (48 enodes) 53.868 * * [simplify]: iters left: 3 (56 enodes) 53.882 * * [simplify]: Extracting #0: cost 1 inf + 0 53.882 * * [simplify]: Extracting #1: cost 8 inf + 0 53.883 * * [simplify]: Extracting #2: cost 15 inf + 43 53.883 * * [simplify]: Extracting #3: cost 16 inf + 86 53.883 * * [simplify]: Extracting #4: cost 5 inf + 911 53.884 * * [simplify]: Extracting #5: cost 1 inf + 1198 53.884 * * [simplify]: Extracting #6: cost 0 inf + 1320 53.885 * [simplify]: Simplified to (/ (- 1 k) 2) 53.885 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 53.885 * * * * [progress]: [ 42 / 234 ] simplifiying candidate # 53.885 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 53.885 * * [simplify]: iters left: 6 (7 enodes) 53.890 * * [simplify]: iters left: 5 (30 enodes) 53.899 * * [simplify]: iters left: 4 (52 enodes) 53.910 * * [simplify]: iters left: 3 (70 enodes) 53.920 * * [simplify]: iters left: 2 (81 enodes) 53.931 * * [simplify]: iters left: 1 (84 enodes) 53.950 * * [simplify]: Extracting #0: cost 1 inf + 0 53.950 * * [simplify]: Extracting #1: cost 11 inf + 0 53.950 * * [simplify]: Extracting #2: cost 25 inf + 123 53.950 * * [simplify]: Extracting #3: cost 25 inf + 330 53.951 * * [simplify]: Extracting #4: cost 4 inf + 2256 53.952 * * [simplify]: Extracting #5: cost 0 inf + 2704 53.953 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 53.953 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 53.955 * * * * [progress]: [ 43 / 234 ] simplifiying candidate # 53.956 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 53.956 * * [simplify]: iters left: 6 (7 enodes) 53.961 * * [simplify]: iters left: 5 (31 enodes) 53.973 * * [simplify]: iters left: 4 (51 enodes) 53.988 * * [simplify]: iters left: 3 (64 enodes) 54.007 * * [simplify]: iters left: 2 (77 enodes) 54.028 * * [simplify]: iters left: 1 (84 enodes) 54.048 * * [simplify]: Extracting #0: cost 1 inf + 0 54.048 * * [simplify]: Extracting #1: cost 11 inf + 0 54.048 * * [simplify]: Extracting #2: cost 26 inf + 82 54.048 * * [simplify]: Extracting #3: cost 24 inf + 692 54.048 * * [simplify]: Extracting #4: cost 3 inf + 3057 54.049 * * [simplify]: Extracting #5: cost 0 inf + 3504 54.050 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 54.050 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 54.050 * * * * [progress]: [ 44 / 234 ] simplifiying candidate # 54.050 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 54.050 * * [simplify]: iters left: 6 (7 enodes) 54.053 * * [simplify]: iters left: 5 (31 enodes) 54.058 * * [simplify]: iters left: 4 (51 enodes) 54.066 * * [simplify]: iters left: 3 (64 enodes) 54.076 * * [simplify]: iters left: 2 (77 enodes) 54.095 * * [simplify]: iters left: 1 (84 enodes) 54.106 * * [simplify]: Extracting #0: cost 1 inf + 0 54.106 * * [simplify]: Extracting #1: cost 11 inf + 0 54.106 * * [simplify]: Extracting #2: cost 26 inf + 42 54.106 * * [simplify]: Extracting #3: cost 24 inf + 452 54.106 * * [simplify]: Extracting #4: cost 3 inf + 2337 54.107 * * [simplify]: Extracting #5: cost 0 inf + 2704 54.107 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 54.107 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 54.108 * * * * [progress]: [ 45 / 234 ] simplifiying candidate # 54.108 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 54.108 * * [simplify]: iters left: 6 (6 enodes) 54.110 * * [simplify]: iters left: 5 (29 enodes) 54.115 * * [simplify]: iters left: 4 (44 enodes) 54.123 * * [simplify]: iters left: 3 (50 enodes) 54.137 * * [simplify]: iters left: 2 (57 enodes) 54.145 * * [simplify]: Extracting #0: cost 1 inf + 0 54.145 * * [simplify]: Extracting #1: cost 9 inf + 0 54.145 * * [simplify]: Extracting #2: cost 15 inf + 3 54.145 * * [simplify]: Extracting #3: cost 11 inf + 131 54.145 * * [simplify]: Extracting #4: cost 2 inf + 711 54.145 * * [simplify]: Extracting #5: cost 0 inf + 836 54.146 * [simplify]: Simplified to (- 1/4 (/ k 4)) 54.146 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 54.146 * * * * [progress]: [ 46 / 234 ] simplifiying candidate # 54.146 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 54.146 * * [simplify]: iters left: 6 (9 enodes) 54.149 * * [simplify]: iters left: 5 (36 enodes) 54.155 * * [simplify]: iters left: 4 (58 enodes) 54.163 * * [simplify]: iters left: 3 (71 enodes) 54.184 * * [simplify]: iters left: 2 (79 enodes) 54.204 * * [simplify]: iters left: 1 (80 enodes) 54.224 * * [simplify]: Extracting #0: cost 1 inf + 0 54.224 * * [simplify]: Extracting #1: cost 9 inf + 0 54.224 * * [simplify]: Extracting #2: cost 24 inf + 0 54.224 * * [simplify]: Extracting #3: cost 29 inf + 2 54.224 * * [simplify]: Extracting #4: cost 10 inf + 2233 54.226 * * [simplify]: Extracting #5: cost 1 inf + 4013 54.227 * * [simplify]: Extracting #6: cost 0 inf + 4135 54.228 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 54.228 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 54.229 * * * * [progress]: [ 47 / 234 ] simplifiying candidate # 54.229 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 54.229 * * [simplify]: iters left: 6 (10 enodes) 54.236 * * [simplify]: iters left: 5 (39 enodes) 54.249 * * [simplify]: iters left: 4 (64 enodes) 54.269 * * [simplify]: iters left: 3 (86 enodes) 54.293 * * [simplify]: iters left: 2 (99 enodes) 54.318 * * [simplify]: iters left: 1 (104 enodes) 54.346 * * [simplify]: Extracting #0: cost 1 inf + 0 54.346 * * [simplify]: Extracting #1: cost 11 inf + 0 54.347 * * [simplify]: Extracting #2: cost 31 inf + 0 54.347 * * [simplify]: Extracting #3: cost 39 inf + 2 54.347 * * [simplify]: Extracting #4: cost 22 inf + 1871 54.349 * * [simplify]: Extracting #5: cost 4 inf + 4865 54.351 * * [simplify]: Extracting #6: cost 0 inf + 5675 54.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 54.353 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 54.353 * * * * [progress]: [ 48 / 234 ] simplifiying candidate # 54.353 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 54.353 * * [simplify]: iters left: 6 (9 enodes) 54.359 * * [simplify]: iters left: 5 (36 enodes) 54.371 * * [simplify]: iters left: 4 (61 enodes) 54.389 * * [simplify]: iters left: 3 (84 enodes) 54.413 * * [simplify]: iters left: 2 (96 enodes) 54.438 * * [simplify]: iters left: 1 (100 enodes) 54.454 * * [simplify]: Extracting #0: cost 1 inf + 0 54.454 * * [simplify]: Extracting #1: cost 11 inf + 0 54.454 * * [simplify]: Extracting #2: cost 27 inf + 82 54.454 * * [simplify]: Extracting #3: cost 29 inf + 651 54.455 * * [simplify]: Extracting #4: cost 12 inf + 2763 54.455 * * [simplify]: Extracting #5: cost 1 inf + 4587 54.456 * * [simplify]: Extracting #6: cost 0 inf + 4710 54.457 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 54.457 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 54.457 * * * * [progress]: [ 49 / 234 ] simplifiying candidate # 54.457 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 54.457 * * [simplify]: iters left: 6 (10 enodes) 54.462 * * [simplify]: iters left: 5 (39 enodes) 54.469 * * [simplify]: iters left: 4 (64 enodes) 54.479 * * [simplify]: iters left: 3 (86 enodes) 54.502 * * [simplify]: iters left: 2 (99 enodes) 54.528 * * [simplify]: iters left: 1 (104 enodes) 54.555 * * [simplify]: Extracting #0: cost 1 inf + 0 54.555 * * [simplify]: Extracting #1: cost 11 inf + 0 54.555 * * [simplify]: Extracting #2: cost 31 inf + 0 54.555 * * [simplify]: Extracting #3: cost 39 inf + 2 54.556 * * [simplify]: Extracting #4: cost 22 inf + 1831 54.557 * * [simplify]: Extracting #5: cost 4 inf + 4785 54.559 * * [simplify]: Extracting #6: cost 0 inf + 5595 54.561 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 54.561 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 54.562 * * * * [progress]: [ 50 / 234 ] simplifiying candidate # 54.562 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 54.562 * * [simplify]: iters left: 6 (9 enodes) 54.569 * * [simplify]: iters left: 5 (36 enodes) 54.581 * * [simplify]: iters left: 4 (57 enodes) 54.602 * * [simplify]: iters left: 3 (73 enodes) 54.611 * * [simplify]: iters left: 2 (80 enodes) 54.621 * * [simplify]: iters left: 1 (81 enodes) 54.632 * * [simplify]: Extracting #0: cost 1 inf + 0 54.633 * * [simplify]: Extracting #1: cost 9 inf + 0 54.633 * * [simplify]: Extracting #2: cost 18 inf + 43 54.633 * * [simplify]: Extracting #3: cost 23 inf + 85 54.633 * * [simplify]: Extracting #4: cost 9 inf + 1271 54.634 * * [simplify]: Extracting #5: cost 0 inf + 2370 54.635 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 54.635 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 54.636 * * * * [progress]: [ 51 / 234 ] simplifiying candidate # 54.636 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 54.636 * * [simplify]: iters left: 6 (9 enodes) 54.642 * * [simplify]: iters left: 5 (36 enodes) 54.653 * * [simplify]: iters left: 4 (61 enodes) 54.672 * * [simplify]: iters left: 3 (84 enodes) 54.696 * * [simplify]: iters left: 2 (96 enodes) 54.713 * * [simplify]: iters left: 1 (100 enodes) 54.725 * * [simplify]: Extracting #0: cost 1 inf + 0 54.725 * * [simplify]: Extracting #1: cost 11 inf + 0 54.725 * * [simplify]: Extracting #2: cost 27 inf + 42 54.726 * * [simplify]: Extracting #3: cost 29 inf + 411 54.726 * * [simplify]: Extracting #4: cost 12 inf + 2163 54.727 * * [simplify]: Extracting #5: cost 1 inf + 3707 54.727 * * [simplify]: Extracting #6: cost 0 inf + 3830 54.728 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 54.728 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 54.728 * * * * [progress]: [ 52 / 234 ] simplifiying candidate # 54.729 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 54.729 * * [simplify]: iters left: 6 (9 enodes) 54.732 * * [simplify]: iters left: 5 (36 enodes) 54.744 * * [simplify]: iters left: 4 (62 enodes) 54.761 * * [simplify]: iters left: 3 (78 enodes) 54.781 * * [simplify]: iters left: 2 (90 enodes) 54.806 * * [simplify]: iters left: 1 (94 enodes) 54.821 * * [simplify]: Extracting #0: cost 1 inf + 0 54.822 * * [simplify]: Extracting #1: cost 11 inf + 0 54.822 * * [simplify]: Extracting #2: cost 27 inf + 1 54.822 * * [simplify]: Extracting #3: cost 29 inf + 409 54.822 * * [simplify]: Extracting #4: cost 12 inf + 2359 54.823 * * [simplify]: Extracting #5: cost 2 inf + 4022 54.824 * * [simplify]: Extracting #6: cost 0 inf + 4466 54.824 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 54.824 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 54.825 * * * * [progress]: [ 53 / 234 ] simplifiying candidate # 54.825 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 54.825 * * [simplify]: iters left: 6 (9 enodes) 54.828 * * [simplify]: iters left: 5 (36 enodes) 54.836 * * [simplify]: iters left: 4 (62 enodes) 54.846 * * [simplify]: iters left: 3 (78 enodes) 54.866 * * [simplify]: iters left: 2 (90 enodes) 54.882 * * [simplify]: iters left: 1 (94 enodes) 54.893 * * [simplify]: Extracting #0: cost 1 inf + 0 54.893 * * [simplify]: Extracting #1: cost 11 inf + 0 54.893 * * [simplify]: Extracting #2: cost 27 inf + 1 54.893 * * [simplify]: Extracting #3: cost 29 inf + 249 54.893 * * [simplify]: Extracting #4: cost 12 inf + 1879 54.894 * * [simplify]: Extracting #5: cost 2 inf + 3302 54.895 * * [simplify]: Extracting #6: cost 0 inf + 3666 54.896 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 54.896 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 54.896 * * * * [progress]: [ 54 / 234 ] simplifiying candidate # 54.896 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 54.896 * * [simplify]: iters left: 6 (8 enodes) 54.899 * * [simplify]: iters left: 5 (34 enodes) 54.908 * * [simplify]: iters left: 4 (58 enodes) 54.923 * * [simplify]: iters left: 3 (65 enodes) 54.942 * * [simplify]: Extracting #0: cost 1 inf + 0 54.942 * * [simplify]: Extracting #1: cost 8 inf + 0 54.942 * * [simplify]: Extracting #2: cost 14 inf + 3 54.942 * * [simplify]: Extracting #3: cost 17 inf + 5 54.943 * * [simplify]: Extracting #4: cost 12 inf + 292 54.943 * * [simplify]: Extracting #5: cost 1 inf + 1355 54.944 * * [simplify]: Extracting #6: cost 0 inf + 1478 54.944 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 54.944 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4))))) 54.945 * * * * [progress]: [ 55 / 234 ] simplifiying candidate # 54.945 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 54.945 * * [simplify]: iters left: 6 (8 enodes) 54.950 * * [simplify]: iters left: 5 (33 enodes) 54.961 * * [simplify]: iters left: 4 (52 enodes) 54.970 * * [simplify]: iters left: 3 (62 enodes) 54.979 * * [simplify]: iters left: 2 (67 enodes) 54.988 * * [simplify]: Extracting #0: cost 1 inf + 0 54.988 * * [simplify]: Extracting #1: cost 9 inf + 0 54.988 * * [simplify]: Extracting #2: cost 23 inf + 0 54.989 * * [simplify]: Extracting #3: cost 24 inf + 285 54.989 * * [simplify]: Extracting #4: cost 18 inf + 975 54.989 * * [simplify]: Extracting #5: cost 7 inf + 2516 54.990 * * [simplify]: Extracting #6: cost 0 inf + 3891 54.990 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 54.990 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))))) 54.990 * * * * [progress]: [ 56 / 234 ] simplifiying candidate # 54.991 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 54.991 * * [simplify]: iters left: 6 (9 enodes) 54.993 * * [simplify]: iters left: 5 (36 enodes) 55.000 * * [simplify]: iters left: 4 (58 enodes) 55.012 * * [simplify]: iters left: 3 (75 enodes) 55.033 * * [simplify]: iters left: 2 (87 enodes) 55.060 * * [simplify]: iters left: 1 (91 enodes) 55.081 * * [simplify]: Extracting #0: cost 1 inf + 0 55.081 * * [simplify]: Extracting #1: cost 11 inf + 0 55.081 * * [simplify]: Extracting #2: cost 30 inf + 0 55.081 * * [simplify]: Extracting #3: cost 36 inf + 83 55.081 * * [simplify]: Extracting #4: cost 30 inf + 451 55.082 * * [simplify]: Extracting #5: cost 10 inf + 3649 55.083 * * [simplify]: Extracting #6: cost 0 inf + 5431 55.083 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 55.083 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))))))) 55.084 * * * * [progress]: [ 57 / 234 ] simplifiying candidate # 55.084 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 55.084 * * [simplify]: iters left: 6 (8 enodes) 55.086 * * [simplify]: iters left: 5 (33 enodes) 55.092 * * [simplify]: iters left: 4 (55 enodes) 55.101 * * [simplify]: iters left: 3 (73 enodes) 55.112 * * [simplify]: iters left: 2 (84 enodes) 55.133 * * [simplify]: iters left: 1 (87 enodes) 55.156 * * [simplify]: Extracting #0: cost 1 inf + 0 55.156 * * [simplify]: Extracting #1: cost 11 inf + 0 55.156 * * [simplify]: Extracting #2: cost 25 inf + 203 55.156 * * [simplify]: Extracting #3: cost 29 inf + 407 55.157 * * [simplify]: Extracting #4: cost 24 inf + 896 55.157 * * [simplify]: Extracting #5: cost 9 inf + 2805 55.158 * * [simplify]: Extracting #6: cost 0 inf + 4466 55.158 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 55.158 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2))))))) 55.159 * * * * [progress]: [ 58 / 234 ] simplifiying candidate # 55.159 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 55.159 * * [simplify]: iters left: 6 (9 enodes) 55.164 * * [simplify]: iters left: 5 (36 enodes) 55.170 * * [simplify]: iters left: 4 (58 enodes) 55.179 * * [simplify]: iters left: 3 (75 enodes) 55.190 * * [simplify]: iters left: 2 (87 enodes) 55.202 * * [simplify]: iters left: 1 (91 enodes) 55.214 * * [simplify]: Extracting #0: cost 1 inf + 0 55.214 * * [simplify]: Extracting #1: cost 11 inf + 0 55.214 * * [simplify]: Extracting #2: cost 30 inf + 0 55.214 * * [simplify]: Extracting #3: cost 36 inf + 43 55.215 * * [simplify]: Extracting #4: cost 30 inf + 451 55.215 * * [simplify]: Extracting #5: cost 10 inf + 3769 55.216 * * [simplify]: Extracting #6: cost 0 inf + 5431 55.217 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 55.218 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))))))) 55.218 * * * * [progress]: [ 59 / 234 ] simplifiying candidate # 55.218 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 55.218 * * [simplify]: iters left: 6 (8 enodes) 55.223 * * [simplify]: iters left: 5 (33 enodes) 55.234 * * [simplify]: iters left: 4 (51 enodes) 55.250 * * [simplify]: iters left: 3 (59 enodes) 55.268 * * [simplify]: Extracting #0: cost 1 inf + 0 55.268 * * [simplify]: Extracting #1: cost 8 inf + 0 55.268 * * [simplify]: Extracting #2: cost 15 inf + 43 55.268 * * [simplify]: Extracting #3: cost 19 inf + 85 55.268 * * [simplify]: Extracting #4: cost 16 inf + 250 55.268 * * [simplify]: Extracting #5: cost 5 inf + 1311 55.269 * * [simplify]: Extracting #6: cost 0 inf + 1962 55.270 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 55.270 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2))))) 55.270 * * * * [progress]: [ 60 / 234 ] simplifiying candidate # 55.271 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 55.271 * * [simplify]: iters left: 6 (8 enodes) 55.275 * * [simplify]: iters left: 5 (33 enodes) 55.282 * * [simplify]: iters left: 4 (55 enodes) 55.291 * * [simplify]: iters left: 3 (73 enodes) 55.301 * * [simplify]: iters left: 2 (84 enodes) 55.323 * * [simplify]: iters left: 1 (87 enodes) 55.347 * * [simplify]: Extracting #0: cost 1 inf + 0 55.347 * * [simplify]: Extracting #1: cost 11 inf + 0 55.348 * * [simplify]: Extracting #2: cost 25 inf + 123 55.348 * * [simplify]: Extracting #3: cost 29 inf + 247 55.348 * * [simplify]: Extracting #4: cost 24 inf + 576 55.349 * * [simplify]: Extracting #5: cost 9 inf + 2245 55.351 * * [simplify]: Extracting #6: cost 0 inf + 3666 55.352 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 55.352 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2))))))) 55.352 * * * * [progress]: [ 61 / 234 ] simplifiying candidate # 55.353 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 55.353 * * [simplify]: iters left: 6 (8 enodes) 55.358 * * [simplify]: iters left: 5 (34 enodes) 55.370 * * [simplify]: iters left: 4 (54 enodes) 55.390 * * [simplify]: iters left: 3 (67 enodes) 55.401 * * [simplify]: iters left: 2 (80 enodes) 55.412 * * [simplify]: iters left: 1 (87 enodes) 55.424 * * [simplify]: Extracting #0: cost 1 inf + 0 55.424 * * [simplify]: Extracting #1: cost 11 inf + 0 55.425 * * [simplify]: Extracting #2: cost 25 inf + 203 55.425 * * [simplify]: Extracting #3: cost 26 inf + 773 55.425 * * [simplify]: Extracting #4: cost 24 inf + 896 55.426 * * [simplify]: Extracting #5: cost 8 inf + 3127 55.427 * * [simplify]: Extracting #6: cost 0 inf + 4466 55.429 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 55.429 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2)))))) 55.429 * * * * [progress]: [ 62 / 234 ] simplifiying candidate # 55.429 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 55.430 * * [simplify]: iters left: 6 (8 enodes) 55.435 * * [simplify]: iters left: 5 (34 enodes) 55.446 * * [simplify]: iters left: 4 (54 enodes) 55.454 * * [simplify]: iters left: 3 (67 enodes) 55.465 * * [simplify]: iters left: 2 (80 enodes) 55.476 * * [simplify]: iters left: 1 (87 enodes) 55.501 * * [simplify]: Extracting #0: cost 1 inf + 0 55.501 * * [simplify]: Extracting #1: cost 11 inf + 0 55.501 * * [simplify]: Extracting #2: cost 25 inf + 123 55.501 * * [simplify]: Extracting #3: cost 26 inf + 493 55.502 * * [simplify]: Extracting #4: cost 24 inf + 576 55.502 * * [simplify]: Extracting #5: cost 8 inf + 2527 55.504 * * [simplify]: Extracting #6: cost 0 inf + 3666 55.505 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 55.505 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2)))))) 55.505 * * * * [progress]: [ 63 / 234 ] simplifiying candidate # 55.506 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 55.506 * * [simplify]: iters left: 6 (7 enodes) 55.510 * * [simplify]: iters left: 5 (32 enodes) 55.516 * * [simplify]: iters left: 4 (50 enodes) 55.523 * * [simplify]: iters left: 3 (54 enodes) 55.530 * * [simplify]: Extracting #0: cost 1 inf + 0 55.530 * * [simplify]: Extracting #1: cost 8 inf + 0 55.530 * * [simplify]: Extracting #2: cost 13 inf + 3 55.530 * * [simplify]: Extracting #3: cost 15 inf + 5 55.530 * * [simplify]: Extracting #4: cost 14 inf + 6 55.531 * * [simplify]: Extracting #5: cost 4 inf + 825 55.531 * * [simplify]: Extracting #6: cost 0 inf + 1234 55.531 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 55.531 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4)))))) 55.531 * * * * [progress]: [ 64 / 234 ] simplifiying candidate # 55.531 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 55.531 * * [simplify]: iters left: 6 (7 enodes) 55.534 * * [simplify]: iters left: 5 (30 enodes) 55.541 * * [simplify]: iters left: 4 (49 enodes) 55.556 * * [simplify]: iters left: 3 (59 enodes) 55.568 * * [simplify]: iters left: 2 (64 enodes) 55.577 * * [simplify]: Extracting #0: cost 1 inf + 0 55.577 * * [simplify]: Extracting #1: cost 9 inf + 0 55.577 * * [simplify]: Extracting #2: cost 23 inf + 0 55.578 * * [simplify]: Extracting #3: cost 24 inf + 3 55.578 * * [simplify]: Extracting #4: cost 15 inf + 980 55.578 * * [simplify]: Extracting #5: cost 1 inf + 3007 55.579 * * [simplify]: Extracting #6: cost 0 inf + 3169 55.579 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 55.579 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))))) 55.579 * * * * [progress]: [ 65 / 234 ] simplifiying candidate # 55.579 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.580 * * [simplify]: iters left: 6 (8 enodes) 55.582 * * [simplify]: iters left: 5 (33 enodes) 55.591 * * [simplify]: iters left: 4 (55 enodes) 55.608 * * [simplify]: iters left: 3 (72 enodes) 55.629 * * [simplify]: iters left: 2 (84 enodes) 55.652 * * [simplify]: iters left: 1 (88 enodes) 55.676 * * [simplify]: Extracting #0: cost 1 inf + 0 55.676 * * [simplify]: Extracting #1: cost 11 inf + 0 55.676 * * [simplify]: Extracting #2: cost 30 inf + 0 55.676 * * [simplify]: Extracting #3: cost 33 inf + 84 55.677 * * [simplify]: Extracting #4: cost 12 inf + 2402 55.677 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.678 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.678 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)))))) 55.678 * * * * [progress]: [ 66 / 234 ] simplifiying candidate # 55.679 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 55.679 * * [simplify]: iters left: 6 (7 enodes) 55.681 * * [simplify]: iters left: 5 (30 enodes) 55.687 * * [simplify]: iters left: 4 (52 enodes) 55.695 * * [simplify]: iters left: 3 (70 enodes) 55.707 * * [simplify]: iters left: 2 (81 enodes) 55.726 * * [simplify]: iters left: 1 (84 enodes) 55.737 * * [simplify]: Extracting #0: cost 1 inf + 0 55.737 * * [simplify]: Extracting #1: cost 11 inf + 0 55.737 * * [simplify]: Extracting #2: cost 25 inf + 203 55.737 * * [simplify]: Extracting #3: cost 25 inf + 530 55.738 * * [simplify]: Extracting #4: cost 4 inf + 2936 55.738 * * [simplify]: Extracting #5: cost 0 inf + 3504 55.739 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 55.739 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2)))))) 55.739 * * * * [progress]: [ 67 / 234 ] simplifiying candidate # 55.740 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 55.740 * * [simplify]: iters left: 6 (8 enodes) 55.742 * * [simplify]: iters left: 5 (33 enodes) 55.748 * * [simplify]: iters left: 4 (55 enodes) 55.765 * * [simplify]: iters left: 3 (72 enodes) 55.784 * * [simplify]: iters left: 2 (84 enodes) 55.796 * * [simplify]: iters left: 1 (88 enodes) 55.816 * * [simplify]: Extracting #0: cost 1 inf + 0 55.816 * * [simplify]: Extracting #1: cost 11 inf + 0 55.817 * * [simplify]: Extracting #2: cost 30 inf + 0 55.817 * * [simplify]: Extracting #3: cost 33 inf + 44 55.817 * * [simplify]: Extracting #4: cost 12 inf + 2362 55.819 * * [simplify]: Extracting #5: cost 0 inf + 4469 55.820 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 55.821 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)))))) 55.821 * * * * [progress]: [ 68 / 234 ] simplifiying candidate # 55.821 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 55.821 * * [simplify]: iters left: 6 (7 enodes) 55.826 * * [simplify]: iters left: 5 (30 enodes) 55.837 * * [simplify]: iters left: 4 (48 enodes) 55.850 * * [simplify]: iters left: 3 (56 enodes) 55.865 * * [simplify]: Extracting #0: cost 1 inf + 0 55.865 * * [simplify]: Extracting #1: cost 8 inf + 0 55.865 * * [simplify]: Extracting #2: cost 15 inf + 43 55.865 * * [simplify]: Extracting #3: cost 16 inf + 86 55.865 * * [simplify]: Extracting #4: cost 5 inf + 911 55.866 * * [simplify]: Extracting #5: cost 1 inf + 1198 55.867 * * [simplify]: Extracting #6: cost 0 inf + 1320 55.867 * [simplify]: Simplified to (/ (- 1 k) 2) 55.867 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2))))) 55.868 * * * * [progress]: [ 69 / 234 ] simplifiying candidate # 55.868 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 55.868 * * [simplify]: iters left: 6 (7 enodes) 55.873 * * [simplify]: iters left: 5 (30 enodes) 55.884 * * [simplify]: iters left: 4 (52 enodes) 55.900 * * [simplify]: iters left: 3 (70 enodes) 55.921 * * [simplify]: iters left: 2 (81 enodes) 55.944 * * [simplify]: iters left: 1 (84 enodes) 55.965 * * [simplify]: Extracting #0: cost 1 inf + 0 55.966 * * [simplify]: Extracting #1: cost 11 inf + 0 55.966 * * [simplify]: Extracting #2: cost 25 inf + 123 55.968 * * [simplify]: Extracting #3: cost 25 inf + 330 55.969 * * [simplify]: Extracting #4: cost 4 inf + 2256 55.970 * * [simplify]: Extracting #5: cost 0 inf + 2704 55.971 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 55.971 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2)))))) 55.971 * * * * [progress]: [ 70 / 234 ] simplifiying candidate # 55.972 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 55.972 * * [simplify]: iters left: 6 (7 enodes) 55.977 * * [simplify]: iters left: 5 (31 enodes) 55.987 * * [simplify]: iters left: 4 (51 enodes) 56.003 * * [simplify]: iters left: 3 (64 enodes) 56.021 * * [simplify]: iters left: 2 (77 enodes) 56.042 * * [simplify]: iters left: 1 (84 enodes) 56.053 * * [simplify]: Extracting #0: cost 1 inf + 0 56.053 * * [simplify]: Extracting #1: cost 11 inf + 0 56.053 * * [simplify]: Extracting #2: cost 26 inf + 82 56.053 * * [simplify]: Extracting #3: cost 24 inf + 692 56.053 * * [simplify]: Extracting #4: cost 3 inf + 3057 56.054 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.055 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 56.055 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 56.055 * * * * [progress]: [ 71 / 234 ] simplifiying candidate # 56.055 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 56.055 * * [simplify]: iters left: 6 (7 enodes) 56.058 * * [simplify]: iters left: 5 (31 enodes) 56.063 * * [simplify]: iters left: 4 (51 enodes) 56.072 * * [simplify]: iters left: 3 (64 enodes) 56.093 * * [simplify]: iters left: 2 (77 enodes) 56.114 * * [simplify]: iters left: 1 (84 enodes) 56.136 * * [simplify]: Extracting #0: cost 1 inf + 0 56.136 * * [simplify]: Extracting #1: cost 11 inf + 0 56.136 * * [simplify]: Extracting #2: cost 26 inf + 42 56.137 * * [simplify]: Extracting #3: cost 24 inf + 452 56.138 * * [simplify]: Extracting #4: cost 3 inf + 2337 56.139 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.140 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 56.140 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 56.140 * * * * [progress]: [ 72 / 234 ] simplifiying candidate # 56.141 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.141 * * [simplify]: iters left: 6 (6 enodes) 56.146 * * [simplify]: iters left: 5 (29 enodes) 56.154 * * [simplify]: iters left: 4 (44 enodes) 56.164 * * [simplify]: iters left: 3 (50 enodes) 56.172 * * [simplify]: iters left: 2 (57 enodes) 56.180 * * [simplify]: Extracting #0: cost 1 inf + 0 56.180 * * [simplify]: Extracting #1: cost 9 inf + 0 56.180 * * [simplify]: Extracting #2: cost 15 inf + 3 56.180 * * [simplify]: Extracting #3: cost 11 inf + 131 56.181 * * [simplify]: Extracting #4: cost 2 inf + 711 56.181 * * [simplify]: Extracting #5: cost 0 inf + 836 56.181 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.181 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4)))))) 56.181 * * * * [progress]: [ 73 / 234 ] simplifiying candidate # 56.182 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 56.182 * * [simplify]: iters left: 6 (7 enodes) 56.184 * * [simplify]: iters left: 5 (31 enodes) 56.191 * * [simplify]: iters left: 4 (51 enodes) 56.204 * * [simplify]: iters left: 3 (64 enodes) 56.215 * * [simplify]: iters left: 2 (77 enodes) 56.226 * * [simplify]: iters left: 1 (84 enodes) 56.245 * * [simplify]: Extracting #0: cost 1 inf + 0 56.245 * * [simplify]: Extracting #1: cost 11 inf + 0 56.245 * * [simplify]: Extracting #2: cost 26 inf + 82 56.245 * * [simplify]: Extracting #3: cost 24 inf + 692 56.246 * * [simplify]: Extracting #4: cost 3 inf + 3057 56.246 * * [simplify]: Extracting #5: cost 0 inf + 3504 56.247 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 56.247 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2))))))) 56.247 * * * * [progress]: [ 74 / 234 ] simplifiying candidate # 56.247 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 56.247 * * [simplify]: iters left: 6 (7 enodes) 56.250 * * [simplify]: iters left: 5 (31 enodes) 56.256 * * [simplify]: iters left: 4 (51 enodes) 56.264 * * [simplify]: iters left: 3 (64 enodes) 56.274 * * [simplify]: iters left: 2 (77 enodes) 56.292 * * [simplify]: iters left: 1 (84 enodes) 56.316 * * [simplify]: Extracting #0: cost 1 inf + 0 56.317 * * [simplify]: Extracting #1: cost 11 inf + 0 56.317 * * [simplify]: Extracting #2: cost 26 inf + 42 56.317 * * [simplify]: Extracting #3: cost 24 inf + 452 56.318 * * [simplify]: Extracting #4: cost 3 inf + 2337 56.319 * * [simplify]: Extracting #5: cost 0 inf + 2704 56.320 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 56.320 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2))))))) 56.320 * * * * [progress]: [ 75 / 234 ] simplifiying candidate # 56.321 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.321 * * [simplify]: iters left: 6 (6 enodes) 56.326 * * [simplify]: iters left: 5 (29 enodes) 56.336 * * [simplify]: iters left: 4 (44 enodes) 56.343 * * [simplify]: iters left: 3 (50 enodes) 56.350 * * [simplify]: iters left: 2 (57 enodes) 56.358 * * [simplify]: Extracting #0: cost 1 inf + 0 56.358 * * [simplify]: Extracting #1: cost 9 inf + 0 56.358 * * [simplify]: Extracting #2: cost 15 inf + 3 56.358 * * [simplify]: Extracting #3: cost 11 inf + 131 56.359 * * [simplify]: Extracting #4: cost 2 inf + 711 56.359 * * [simplify]: Extracting #5: cost 0 inf + 836 56.359 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.359 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4)))))) 56.359 * * * * [progress]: [ 76 / 234 ] simplifiying candidate # 56.359 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 56.359 * * [simplify]: iters left: 4 (5 enodes) 56.362 * * [simplify]: iters left: 3 (20 enodes) 56.365 * * [simplify]: iters left: 2 (27 enodes) 56.370 * * [simplify]: iters left: 1 (29 enodes) 56.374 * * [simplify]: Extracting #0: cost 1 inf + 0 56.374 * * [simplify]: Extracting #1: cost 8 inf + 0 56.374 * * [simplify]: Extracting #2: cost 4 inf + 449 56.374 * * [simplify]: Extracting #3: cost 0 inf + 895 56.375 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 56.375 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2)))))) 56.375 * * * * [progress]: [ 77 / 234 ] simplifiying candidate # 56.375 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 56.375 * * [simplify]: iters left: 4 (5 enodes) 56.377 * * [simplify]: iters left: 3 (20 enodes) 56.381 * * [simplify]: iters left: 2 (27 enodes) 56.385 * * [simplify]: iters left: 1 (29 enodes) 56.394 * * [simplify]: Extracting #0: cost 1 inf + 0 56.394 * * [simplify]: Extracting #1: cost 8 inf + 0 56.394 * * [simplify]: Extracting #2: cost 4 inf + 289 56.394 * * [simplify]: Extracting #3: cost 0 inf + 575 56.395 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 56.395 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2)))))) 56.395 * * * * [progress]: [ 78 / 234 ] simplifiying candidate # 56.395 * [simplify]: Simplifying (/ (/ 1 2) 2) 56.395 * * [simplify]: iters left: 4 (4 enodes) 56.399 * * [simplify]: iters left: 3 (19 enodes) 56.402 * * [simplify]: iters left: 2 (23 enodes) 56.405 * * [simplify]: Extracting #0: cost 1 inf + 0 56.406 * * [simplify]: Extracting #1: cost 0 inf + 1 56.406 * [simplify]: Simplified to 1/4 56.406 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4)))) 56.406 * * * * [progress]: [ 79 / 234 ] simplifiying candidate # 56.406 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 56.406 * * [simplify]: iters left: 6 (6 enodes) 56.410 * * [simplify]: iters left: 5 (29 enodes) 56.416 * * [simplify]: iters left: 4 (44 enodes) 56.422 * * [simplify]: iters left: 3 (50 enodes) 56.431 * * [simplify]: iters left: 2 (57 enodes) 56.445 * * [simplify]: Extracting #0: cost 1 inf + 0 56.445 * * [simplify]: Extracting #1: cost 9 inf + 0 56.445 * * [simplify]: Extracting #2: cost 15 inf + 3 56.445 * * [simplify]: Extracting #3: cost 11 inf + 131 56.445 * * [simplify]: Extracting #4: cost 2 inf + 711 56.445 * * [simplify]: Extracting #5: cost 0 inf + 836 56.445 * [simplify]: Simplified to (- 1/4 (/ k 4)) 56.445 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4)))))) 56.446 * * * * [progress]: [ 80 / 234 ] simplifiying candidate # 56.446 * [simplify]: Simplifying (/ 1 2) 56.446 * * [simplify]: iters left: 2 (3 enodes) 56.448 * * [simplify]: iters left: 1 (12 enodes) 56.450 * * [simplify]: Extracting #0: cost 1 inf + 0 56.450 * * [simplify]: Extracting #1: cost 0 inf + 1 56.450 * [simplify]: Simplified to 1/2 56.450 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2)))) 56.450 * * * * [progress]: [ 81 / 234 ] simplifiying candidate # 56.450 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 56.451 * * [simplify]: iters left: 6 (8 enodes) 56.454 * * [simplify]: iters left: 5 (38 enodes) 56.461 * * [simplify]: iters left: 4 (66 enodes) 56.481 * * [simplify]: iters left: 3 (110 enodes) 56.519 * * [simplify]: iters left: 2 (200 enodes) 56.601 * * [simplify]: iters left: 1 (403 enodes) 56.770 * * [simplify]: Extracting #0: cost 1 inf + 0 56.770 * * [simplify]: Extracting #1: cost 26 inf + 0 56.771 * * [simplify]: Extracting #2: cost 100 inf + 2 56.771 * * [simplify]: Extracting #3: cost 164 inf + 10 56.772 * * [simplify]: Extracting #4: cost 163 inf + 641 56.775 * * [simplify]: Extracting #5: cost 72 inf + 12998 56.784 * * [simplify]: Extracting #6: cost 25 inf + 35040 56.800 * * [simplify]: Extracting #7: cost 0 inf + 54806 56.816 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 56.816 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 56.816 * * * * [progress]: [ 82 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 83 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 84 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 85 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 86 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 87 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 88 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 89 / 234 ] simplifiying candidate # 56.816 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))> 56.817 * * * * [progress]: [ 91 / 234 ] simplifiying candidate # 56.817 * * * * [progress]: [ 92 / 234 ] simplifiying candidate # 56.817 * * * * [progress]: [ 93 / 234 ] simplifiying candidate # 56.817 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2)) 56.817 * * [simplify]: iters left: 6 (14 enodes) 56.825 * * [simplify]: iters left: 5 (60 enodes) 56.846 * * [simplify]: iters left: 4 (108 enodes) 56.871 * * [simplify]: iters left: 3 (255 enodes) 56.960 * * [simplify]: Extracting #0: cost 1 inf + 0 56.960 * * [simplify]: Extracting #1: cost 34 inf + 0 56.961 * * [simplify]: Extracting #2: cost 122 inf + 73 56.963 * * [simplify]: Extracting #3: cost 134 inf + 2876 56.968 * * [simplify]: Extracting #4: cost 49 inf + 20493 56.977 * * [simplify]: Extracting #5: cost 4 inf + 30853 56.983 * * [simplify]: Extracting #6: cost 0 inf + 31808 56.990 * [simplify]: Simplified to (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI))))) 56.990 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- 1 k) (/ 4 (+ (log n) (+ (log 2) (log PI)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 56.990 * * * * [progress]: [ 94 / 234 ] simplifiying candidate # 56.990 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 56.991 * * [simplify]: iters left: 6 (13 enodes) 56.995 * * [simplify]: iters left: 5 (58 enodes) 57.007 * * [simplify]: iters left: 4 (101 enodes) 57.046 * * [simplify]: iters left: 3 (211 enodes) 57.116 * * [simplify]: Extracting #0: cost 1 inf + 0 57.116 * * [simplify]: Extracting #1: cost 28 inf + 0 57.117 * * [simplify]: Extracting #2: cost 110 inf + 73 57.118 * * [simplify]: Extracting #3: cost 127 inf + 1744 57.122 * * [simplify]: Extracting #4: cost 73 inf + 10230 57.129 * * [simplify]: Extracting #5: cost 26 inf + 20266 57.142 * * [simplify]: Extracting #6: cost 6 inf + 24692 57.153 * * [simplify]: Extracting #7: cost 0 inf + 26084 57.164 * [simplify]: Simplified to (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) 57.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.165 * * * * [progress]: [ 95 / 234 ] simplifiying candidate # 57.165 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) 57.165 * * [simplify]: iters left: 6 (12 enodes) 57.169 * * [simplify]: iters left: 5 (57 enodes) 57.180 * * [simplify]: iters left: 4 (111 enodes) 57.199 * * [simplify]: iters left: 3 (214 enodes) 57.248 * * [simplify]: iters left: 2 (472 enodes) 57.408 * * [simplify]: Extracting #0: cost 1 inf + 0 57.408 * * [simplify]: Extracting #1: cost 40 inf + 0 57.408 * * [simplify]: Extracting #2: cost 158 inf + 4 57.410 * * [simplify]: Extracting #3: cost 193 inf + 1443 57.414 * * [simplify]: Extracting #4: cost 88 inf + 19136 57.423 * * [simplify]: Extracting #5: cost 7 inf + 36795 57.433 * * [simplify]: Extracting #6: cost 0 inf + 38243 57.444 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4) 57.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.444 * * * * [progress]: [ 96 / 234 ] simplifiying candidate # 57.444 * * * * [progress]: [ 97 / 234 ] simplifiying candidate # 57.444 * [simplify]: Simplifying (* n (* 2 PI)) 57.445 * * [simplify]: iters left: 4 (5 enodes) 57.447 * * [simplify]: iters left: 3 (19 enodes) 57.454 * * [simplify]: iters left: 2 (27 enodes) 57.460 * * [simplify]: iters left: 1 (32 enodes) 57.464 * * [simplify]: Extracting #0: cost 1 inf + 0 57.464 * * [simplify]: Extracting #1: cost 8 inf + 0 57.464 * * [simplify]: Extracting #2: cost 7 inf + 45 57.464 * * [simplify]: Extracting #3: cost 0 inf + 421 57.464 * [simplify]: Simplified to (* (* PI 2) n) 57.464 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.464 * * * * [progress]: [ 98 / 234 ] simplifiying candidate # 57.464 * [simplify]: Simplifying (* n (* 2 PI)) 57.464 * * [simplify]: iters left: 4 (5 enodes) 57.466 * * [simplify]: iters left: 3 (19 enodes) 57.469 * * [simplify]: iters left: 2 (27 enodes) 57.475 * * [simplify]: iters left: 1 (32 enodes) 57.480 * * [simplify]: Extracting #0: cost 1 inf + 0 57.480 * * [simplify]: Extracting #1: cost 8 inf + 0 57.480 * * [simplify]: Extracting #2: cost 7 inf + 45 57.480 * * [simplify]: Extracting #3: cost 0 inf + 421 57.480 * [simplify]: Simplified to (* (* PI 2) n) 57.480 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.480 * * * * [progress]: [ 99 / 234 ] simplifiying candidate # 57.480 * [simplify]: Simplifying (* n (* 2 PI)) 57.480 * * [simplify]: iters left: 4 (5 enodes) 57.482 * * [simplify]: iters left: 3 (19 enodes) 57.485 * * [simplify]: iters left: 2 (27 enodes) 57.489 * * [simplify]: iters left: 1 (32 enodes) 57.493 * * [simplify]: Extracting #0: cost 1 inf + 0 57.493 * * [simplify]: Extracting #1: cost 8 inf + 0 57.493 * * [simplify]: Extracting #2: cost 7 inf + 45 57.493 * * [simplify]: Extracting #3: cost 0 inf + 421 57.493 * [simplify]: Simplified to (* (* PI 2) n) 57.493 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.494 * * * * [progress]: [ 100 / 234 ] simplifiying candidate # 57.494 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ k 2) 2)) 57.494 * * [simplify]: iters left: 5 (9 enodes) 57.496 * * [simplify]: iters left: 4 (37 enodes) 57.502 * * [simplify]: iters left: 3 (57 enodes) 57.512 * * [simplify]: iters left: 2 (93 enodes) 57.528 * * [simplify]: iters left: 1 (170 enodes) 57.586 * * [simplify]: Extracting #0: cost 1 inf + 0 57.586 * * [simplify]: Extracting #1: cost 13 inf + 0 57.586 * * [simplify]: Extracting #2: cost 59 inf + 1 57.587 * * [simplify]: Extracting #3: cost 78 inf + 176 57.589 * * [simplify]: Extracting #4: cost 40 inf + 3875 57.591 * * [simplify]: Extracting #5: cost 7 inf + 16988 57.594 * * [simplify]: Extracting #6: cost 0 inf + 20577 57.597 * * [simplify]: Extracting #7: cost 0 inf + 20336 57.600 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ k 4)) 57.600 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* (* PI 2) n) (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.600 * * * * [progress]: [ 101 / 234 ] simplifiying candidate # 57.600 * [simplify]: Simplifying (cbrt (/ (/ (- 1 k) 2) 2)) 57.600 * * [simplify]: iters left: 6 (7 enodes) 57.603 * * [simplify]: iters left: 5 (32 enodes) 57.609 * * [simplify]: iters left: 4 (47 enodes) 57.616 * * [simplify]: iters left: 3 (53 enodes) 57.628 * * [simplify]: iters left: 2 (60 enodes) 57.645 * * [simplify]: Extracting #0: cost 1 inf + 0 57.645 * * [simplify]: Extracting #1: cost 3 inf + 0 57.645 * * [simplify]: Extracting #2: cost 11 inf + 0 57.645 * * [simplify]: Extracting #3: cost 17 inf + 3 57.645 * * [simplify]: Extracting #4: cost 14 inf + 129 57.646 * * [simplify]: Extracting #5: cost 3 inf + 794 57.646 * * [simplify]: Extracting #6: cost 0 inf + 1162 57.647 * [simplify]: Simplified to (cbrt (- 1/4 (/ k 4))) 57.647 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.647 * * * * [progress]: [ 102 / 234 ] simplifiying candidate # 57.647 * [simplify]: Simplifying (sqrt (/ (/ (- 1 k) 2) 2)) 57.647 * * [simplify]: iters left: 6 (7 enodes) 57.652 * * [simplify]: iters left: 5 (32 enodes) 57.663 * * [simplify]: iters left: 4 (47 enodes) 57.680 * * [simplify]: iters left: 3 (53 enodes) 57.696 * * [simplify]: iters left: 2 (60 enodes) 57.713 * * [simplify]: Extracting #0: cost 1 inf + 0 57.713 * * [simplify]: Extracting #1: cost 3 inf + 0 57.714 * * [simplify]: Extracting #2: cost 11 inf + 0 57.714 * * [simplify]: Extracting #3: cost 17 inf + 3 57.714 * * [simplify]: Extracting #4: cost 14 inf + 129 57.714 * * [simplify]: Extracting #5: cost 3 inf + 794 57.715 * * [simplify]: Extracting #6: cost 0 inf + 1082 57.715 * [simplify]: Simplified to (sqrt (- 1/4 (/ k 4))) 57.715 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.716 * * * * [progress]: [ 103 / 234 ] simplifiying candidate # 57.716 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 57.716 * * [simplify]: iters left: 6 (8 enodes) 57.721 * * [simplify]: iters left: 5 (32 enodes) 57.729 * * [simplify]: iters left: 4 (41 enodes) 57.735 * * [simplify]: Extracting #0: cost 1 inf + 0 57.735 * * [simplify]: Extracting #1: cost 4 inf + 0 57.735 * * [simplify]: Extracting #2: cost 8 inf + 0 57.735 * * [simplify]: Extracting #3: cost 9 inf + 163 57.735 * * [simplify]: Extracting #4: cost 13 inf + 164 57.735 * * [simplify]: Extracting #5: cost 10 inf + 249 57.735 * * [simplify]: Extracting #6: cost 3 inf + 986 57.735 * * [simplify]: Extracting #7: cost 0 inf + 1474 57.736 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 57.736 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.736 * * * * [progress]: [ 104 / 234 ] simplifiying candidate # 57.736 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 57.736 * * [simplify]: iters left: 6 (8 enodes) 57.739 * * [simplify]: iters left: 5 (32 enodes) 57.745 * * [simplify]: iters left: 4 (41 enodes) 57.751 * * [simplify]: Extracting #0: cost 1 inf + 0 57.751 * * [simplify]: Extracting #1: cost 4 inf + 0 57.751 * * [simplify]: Extracting #2: cost 8 inf + 0 57.751 * * [simplify]: Extracting #3: cost 9 inf + 83 57.751 * * [simplify]: Extracting #4: cost 13 inf + 84 57.751 * * [simplify]: Extracting #5: cost 10 inf + 169 57.751 * * [simplify]: Extracting #6: cost 3 inf + 866 57.752 * * [simplify]: Extracting #7: cost 0 inf + 1314 57.752 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 57.752 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.752 * * * * [progress]: [ 105 / 234 ] simplifiying candidate # 57.752 * [simplify]: Simplifying (/ (cbrt (/ (- 1 k) 2)) 2) 57.752 * * [simplify]: iters left: 6 (7 enodes) 57.756 * * [simplify]: iters left: 5 (29 enodes) 57.766 * * [simplify]: iters left: 4 (38 enodes) 57.773 * * [simplify]: Extracting #0: cost 1 inf + 0 57.773 * * [simplify]: Extracting #1: cost 4 inf + 0 57.773 * * [simplify]: Extracting #2: cost 5 inf + 1 57.773 * * [simplify]: Extracting #3: cost 9 inf + 1 57.773 * * [simplify]: Extracting #4: cost 13 inf + 2 57.773 * * [simplify]: Extracting #5: cost 12 inf + 4 57.773 * * [simplify]: Extracting #6: cost 2 inf + 746 57.773 * * [simplify]: Extracting #7: cost 0 inf + 1152 57.774 * [simplify]: Simplified to (/ (cbrt (/ (- 1 k) 2)) 2) 57.774 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.774 * * * * [progress]: [ 106 / 234 ] simplifiying candidate # 57.774 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 57.774 * * [simplify]: iters left: 6 (8 enodes) 57.777 * * [simplify]: iters left: 5 (32 enodes) 57.782 * * [simplify]: iters left: 4 (41 enodes) 57.790 * * [simplify]: Extracting #0: cost 1 inf + 0 57.790 * * [simplify]: Extracting #1: cost 4 inf + 0 57.790 * * [simplify]: Extracting #2: cost 8 inf + 0 57.790 * * [simplify]: Extracting #3: cost 9 inf + 163 57.790 * * [simplify]: Extracting #4: cost 13 inf + 164 57.790 * * [simplify]: Extracting #5: cost 10 inf + 249 57.790 * * [simplify]: Extracting #6: cost 3 inf + 906 57.790 * * [simplify]: Extracting #7: cost 0 inf + 1314 57.791 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 57.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.791 * * * * [progress]: [ 107 / 234 ] simplifiying candidate # 57.791 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 57.791 * * [simplify]: iters left: 6 (8 enodes) 57.794 * * [simplify]: iters left: 5 (32 enodes) 57.802 * * [simplify]: iters left: 4 (41 enodes) 57.815 * * [simplify]: Extracting #0: cost 1 inf + 0 57.815 * * [simplify]: Extracting #1: cost 4 inf + 0 57.815 * * [simplify]: Extracting #2: cost 8 inf + 0 57.815 * * [simplify]: Extracting #3: cost 9 inf + 83 57.816 * * [simplify]: Extracting #4: cost 13 inf + 84 57.816 * * [simplify]: Extracting #5: cost 10 inf + 169 57.816 * * [simplify]: Extracting #6: cost 3 inf + 786 57.816 * * [simplify]: Extracting #7: cost 0 inf + 1154 57.817 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 57.817 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.817 * * * * [progress]: [ 108 / 234 ] simplifiying candidate # 57.818 * [simplify]: Simplifying (/ (sqrt (/ (- 1 k) 2)) 2) 57.818 * * [simplify]: iters left: 6 (7 enodes) 57.822 * * [simplify]: iters left: 5 (29 enodes) 57.829 * * [simplify]: iters left: 4 (38 enodes) 57.834 * * [simplify]: Extracting #0: cost 1 inf + 0 57.834 * * [simplify]: Extracting #1: cost 4 inf + 0 57.834 * * [simplify]: Extracting #2: cost 5 inf + 1 57.834 * * [simplify]: Extracting #3: cost 9 inf + 1 57.835 * * [simplify]: Extracting #4: cost 13 inf + 2 57.835 * * [simplify]: Extracting #5: cost 12 inf + 4 57.835 * * [simplify]: Extracting #6: cost 2 inf + 666 57.835 * * [simplify]: Extracting #7: cost 0 inf + 992 57.835 * [simplify]: Simplified to (/ (sqrt (/ (- 1 k) 2)) 2) 57.835 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.835 * * * * [progress]: [ 109 / 234 ] simplifiying candidate # 57.835 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 57.836 * * [simplify]: iters left: 6 (8 enodes) 57.838 * * [simplify]: iters left: 5 (30 enodes) 57.843 * * [simplify]: iters left: 4 (37 enodes) 57.848 * * [simplify]: Extracting #0: cost 1 inf + 0 57.848 * * [simplify]: Extracting #1: cost 6 inf + 0 57.849 * * [simplify]: Extracting #2: cost 12 inf + 0 57.849 * * [simplify]: Extracting #3: cost 11 inf + 405 57.849 * * [simplify]: Extracting #4: cost 10 inf + 407 57.849 * * [simplify]: Extracting #5: cost 4 inf + 1220 57.850 * * [simplify]: Extracting #6: cost 0 inf + 1869 57.850 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 57.850 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.850 * * * * [progress]: [ 110 / 234 ] simplifiying candidate # 57.851 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 57.851 * * [simplify]: iters left: 6 (9 enodes) 57.856 * * [simplify]: iters left: 5 (33 enodes) 57.862 * * [simplify]: iters left: 4 (43 enodes) 57.869 * * [simplify]: iters left: 3 (45 enodes) 57.875 * * [simplify]: Extracting #0: cost 1 inf + 0 57.875 * * [simplify]: Extracting #1: cost 8 inf + 0 57.875 * * [simplify]: Extracting #2: cost 16 inf + 0 57.875 * * [simplify]: Extracting #3: cost 16 inf + 284 57.876 * * [simplify]: Extracting #4: cost 11 inf + 610 57.876 * * [simplify]: Extracting #5: cost 8 inf + 815 57.876 * * [simplify]: Extracting #6: cost 0 inf + 2517 57.876 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 57.876 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.877 * * * * [progress]: [ 111 / 234 ] simplifiying candidate # 57.877 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 57.877 * * [simplify]: iters left: 6 (8 enodes) 57.879 * * [simplify]: iters left: 5 (30 enodes) 57.886 * * [simplify]: iters left: 4 (40 enodes) 57.892 * * [simplify]: iters left: 3 (42 enodes) 57.903 * * [simplify]: Extracting #0: cost 1 inf + 0 57.903 * * [simplify]: Extracting #1: cost 8 inf + 0 57.904 * * [simplify]: Extracting #2: cost 12 inf + 82 57.904 * * [simplify]: Extracting #3: cost 13 inf + 405 57.904 * * [simplify]: Extracting #4: cost 12 inf + 407 57.904 * * [simplify]: Extracting #5: cost 5 inf + 1383 57.905 * * [simplify]: Extracting #6: cost 0 inf + 2195 57.906 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (cbrt 2))) 57.906 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (cbrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.906 * * * * [progress]: [ 112 / 234 ] simplifiying candidate # 57.906 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 57.906 * * [simplify]: iters left: 6 (9 enodes) 57.912 * * [simplify]: iters left: 5 (33 enodes) 57.918 * * [simplify]: iters left: 4 (43 enodes) 57.924 * * [simplify]: iters left: 3 (45 enodes) 57.931 * * [simplify]: Extracting #0: cost 1 inf + 0 57.931 * * [simplify]: Extracting #1: cost 8 inf + 0 57.931 * * [simplify]: Extracting #2: cost 16 inf + 0 57.931 * * [simplify]: Extracting #3: cost 16 inf + 284 57.931 * * [simplify]: Extracting #4: cost 11 inf + 610 57.931 * * [simplify]: Extracting #5: cost 8 inf + 815 57.931 * * [simplify]: Extracting #6: cost 0 inf + 2517 57.932 * [simplify]: Simplified to (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 57.932 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.932 * * * * [progress]: [ 113 / 234 ] simplifiying candidate # 57.932 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 57.932 * * [simplify]: iters left: 6 (8 enodes) 57.935 * * [simplify]: iters left: 5 (30 enodes) 57.942 * * [simplify]: iters left: 4 (35 enodes) 57.953 * * [simplify]: Extracting #0: cost 1 inf + 0 57.953 * * [simplify]: Extracting #1: cost 6 inf + 0 57.953 * * [simplify]: Extracting #2: cost 8 inf + 42 57.953 * * [simplify]: Extracting #3: cost 11 inf + 83 57.953 * * [simplify]: Extracting #4: cost 10 inf + 85 57.953 * * [simplify]: Extracting #5: cost 4 inf + 658 57.953 * * [simplify]: Extracting #6: cost 0 inf + 1227 57.953 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 57.953 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.954 * * * * [progress]: [ 114 / 234 ] simplifiying candidate # 57.954 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 57.954 * * [simplify]: iters left: 6 (8 enodes) 57.956 * * [simplify]: iters left: 5 (30 enodes) 57.962 * * [simplify]: iters left: 4 (40 enodes) 57.968 * * [simplify]: iters left: 3 (42 enodes) 57.974 * * [simplify]: Extracting #0: cost 1 inf + 0 57.974 * * [simplify]: Extracting #1: cost 8 inf + 0 57.974 * * [simplify]: Extracting #2: cost 12 inf + 42 57.974 * * [simplify]: Extracting #3: cost 13 inf + 245 57.974 * * [simplify]: Extracting #4: cost 12 inf + 247 57.974 * * [simplify]: Extracting #5: cost 5 inf + 1143 57.975 * * [simplify]: Extracting #6: cost 0 inf + 1875 57.975 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* 2 (sqrt 2))) 57.975 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (cbrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.975 * * * * [progress]: [ 115 / 234 ] simplifiying candidate # 57.975 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 57.975 * * [simplify]: iters left: 6 (8 enodes) 57.978 * * [simplify]: iters left: 5 (30 enodes) 57.985 * * [simplify]: iters left: 4 (40 enodes) 57.991 * * [simplify]: iters left: 3 (42 enodes) 57.997 * * [simplify]: Extracting #0: cost 1 inf + 0 57.997 * * [simplify]: Extracting #1: cost 8 inf + 0 57.997 * * [simplify]: Extracting #2: cost 11 inf + 203 57.998 * * [simplify]: Extracting #3: cost 13 inf + 405 57.998 * * [simplify]: Extracting #4: cost 12 inf + 407 57.998 * * [simplify]: Extracting #5: cost 3 inf + 1789 57.998 * * [simplify]: Extracting #6: cost 0 inf + 2195 57.998 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (cbrt 2) 2)) 57.998 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 57.999 * * * * [progress]: [ 116 / 234 ] simplifiying candidate # 57.999 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 57.999 * * [simplify]: iters left: 6 (8 enodes) 58.001 * * [simplify]: iters left: 5 (30 enodes) 58.006 * * [simplify]: iters left: 4 (40 enodes) 58.013 * * [simplify]: iters left: 3 (42 enodes) 58.019 * * [simplify]: Extracting #0: cost 1 inf + 0 58.019 * * [simplify]: Extracting #1: cost 8 inf + 0 58.019 * * [simplify]: Extracting #2: cost 11 inf + 123 58.019 * * [simplify]: Extracting #3: cost 13 inf + 245 58.019 * * [simplify]: Extracting #4: cost 12 inf + 247 58.020 * * [simplify]: Extracting #5: cost 3 inf + 1509 58.020 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.020 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (* (sqrt 2) 2)) 58.020 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (cbrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.020 * * * * [progress]: [ 117 / 234 ] simplifiying candidate # 58.021 * [simplify]: Simplifying (/ (/ (cbrt (- 1 k)) 2) 2) 58.021 * * [simplify]: iters left: 6 (7 enodes) 58.023 * * [simplify]: iters left: 5 (28 enodes) 58.028 * * [simplify]: iters left: 4 (35 enodes) 58.033 * * [simplify]: Extracting #0: cost 1 inf + 0 58.033 * * [simplify]: Extracting #1: cost 6 inf + 0 58.033 * * [simplify]: Extracting #2: cost 7 inf + 2 58.033 * * [simplify]: Extracting #3: cost 11 inf + 2 58.033 * * [simplify]: Extracting #4: cost 9 inf + 45 58.033 * * [simplify]: Extracting #5: cost 4 inf + 455 58.033 * * [simplify]: Extracting #6: cost 0 inf + 1066 58.033 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 4) 58.033 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (cbrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.034 * * * * [progress]: [ 118 / 234 ] simplifiying candidate # 58.034 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 58.034 * * [simplify]: iters left: 6 (8 enodes) 58.036 * * [simplify]: iters left: 5 (30 enodes) 58.041 * * [simplify]: iters left: 4 (37 enodes) 58.047 * * [simplify]: Extracting #0: cost 1 inf + 0 58.047 * * [simplify]: Extracting #1: cost 6 inf + 0 58.047 * * [simplify]: Extracting #2: cost 12 inf + 0 58.047 * * [simplify]: Extracting #3: cost 11 inf + 405 58.047 * * [simplify]: Extracting #4: cost 10 inf + 407 58.047 * * [simplify]: Extracting #5: cost 4 inf + 1100 58.048 * * [simplify]: Extracting #6: cost 0 inf + 1629 58.048 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 58.048 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.048 * * * * [progress]: [ 119 / 234 ] simplifiying candidate # 58.048 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.048 * * [simplify]: iters left: 6 (9 enodes) 58.051 * * [simplify]: iters left: 5 (33 enodes) 58.057 * * [simplify]: iters left: 4 (43 enodes) 58.068 * * [simplify]: iters left: 3 (45 enodes) 58.082 * * [simplify]: Extracting #0: cost 1 inf + 0 58.082 * * [simplify]: Extracting #1: cost 8 inf + 0 58.082 * * [simplify]: Extracting #2: cost 16 inf + 0 58.083 * * [simplify]: Extracting #3: cost 16 inf + 284 58.083 * * [simplify]: Extracting #4: cost 11 inf + 610 58.083 * * [simplify]: Extracting #5: cost 8 inf + 775 58.084 * * [simplify]: Extracting #6: cost 0 inf + 2197 58.085 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 58.085 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.085 * * * * [progress]: [ 120 / 234 ] simplifiying candidate # 58.085 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 58.085 * * [simplify]: iters left: 6 (8 enodes) 58.090 * * [simplify]: iters left: 5 (30 enodes) 58.101 * * [simplify]: iters left: 4 (40 enodes) 58.113 * * [simplify]: iters left: 3 (42 enodes) 58.127 * * [simplify]: Extracting #0: cost 1 inf + 0 58.127 * * [simplify]: Extracting #1: cost 8 inf + 0 58.127 * * [simplify]: Extracting #2: cost 12 inf + 82 58.127 * * [simplify]: Extracting #3: cost 13 inf + 405 58.127 * * [simplify]: Extracting #4: cost 12 inf + 407 58.128 * * [simplify]: Extracting #5: cost 5 inf + 1223 58.128 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.129 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (cbrt 2))) 58.129 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (- 1 k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.129 * * * * [progress]: [ 121 / 234 ] simplifiying candidate # 58.130 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.130 * * [simplify]: iters left: 6 (9 enodes) 58.135 * * [simplify]: iters left: 5 (33 enodes) 58.146 * * [simplify]: iters left: 4 (43 enodes) 58.160 * * [simplify]: iters left: 3 (45 enodes) 58.174 * * [simplify]: Extracting #0: cost 1 inf + 0 58.174 * * [simplify]: Extracting #1: cost 8 inf + 0 58.174 * * [simplify]: Extracting #2: cost 16 inf + 0 58.174 * * [simplify]: Extracting #3: cost 16 inf + 284 58.175 * * [simplify]: Extracting #4: cost 11 inf + 610 58.175 * * [simplify]: Extracting #5: cost 8 inf + 775 58.176 * * [simplify]: Extracting #6: cost 0 inf + 2197 58.176 * [simplify]: Simplified to (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 58.176 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.177 * * * * [progress]: [ 122 / 234 ] simplifiying candidate # 58.177 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 58.177 * * [simplify]: iters left: 6 (8 enodes) 58.182 * * [simplify]: iters left: 5 (30 enodes) 58.191 * * [simplify]: iters left: 4 (35 enodes) 58.196 * * [simplify]: Extracting #0: cost 1 inf + 0 58.196 * * [simplify]: Extracting #1: cost 6 inf + 0 58.196 * * [simplify]: Extracting #2: cost 8 inf + 42 58.196 * * [simplify]: Extracting #3: cost 11 inf + 83 58.197 * * [simplify]: Extracting #4: cost 10 inf + 85 58.197 * * [simplify]: Extracting #5: cost 4 inf + 538 58.197 * * [simplify]: Extracting #6: cost 0 inf + 987 58.197 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 58.197 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.197 * * * * [progress]: [ 123 / 234 ] simplifiying candidate # 58.197 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 58.197 * * [simplify]: iters left: 6 (8 enodes) 58.200 * * [simplify]: iters left: 5 (30 enodes) 58.206 * * [simplify]: iters left: 4 (40 enodes) 58.214 * * [simplify]: iters left: 3 (42 enodes) 58.220 * * [simplify]: Extracting #0: cost 1 inf + 0 58.220 * * [simplify]: Extracting #1: cost 8 inf + 0 58.220 * * [simplify]: Extracting #2: cost 12 inf + 42 58.220 * * [simplify]: Extracting #3: cost 13 inf + 245 58.221 * * [simplify]: Extracting #4: cost 12 inf + 247 58.221 * * [simplify]: Extracting #5: cost 5 inf + 983 58.221 * * [simplify]: Extracting #6: cost 0 inf + 1555 58.221 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* 2 (sqrt 2))) 58.221 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (sqrt (- 1 k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.222 * * * * [progress]: [ 124 / 234 ] simplifiying candidate # 58.222 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 58.222 * * [simplify]: iters left: 6 (8 enodes) 58.224 * * [simplify]: iters left: 5 (30 enodes) 58.229 * * [simplify]: iters left: 4 (40 enodes) 58.238 * * [simplify]: iters left: 3 (42 enodes) 58.250 * * [simplify]: Extracting #0: cost 1 inf + 0 58.250 * * [simplify]: Extracting #1: cost 8 inf + 0 58.250 * * [simplify]: Extracting #2: cost 11 inf + 203 58.251 * * [simplify]: Extracting #3: cost 13 inf + 405 58.251 * * [simplify]: Extracting #4: cost 12 inf + 407 58.251 * * [simplify]: Extracting #5: cost 3 inf + 1549 58.252 * * [simplify]: Extracting #6: cost 0 inf + 1875 58.252 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (cbrt 2) 2)) 58.252 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.253 * * * * [progress]: [ 125 / 234 ] simplifiying candidate # 58.253 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 58.253 * * [simplify]: iters left: 6 (8 enodes) 58.258 * * [simplify]: iters left: 5 (30 enodes) 58.268 * * [simplify]: iters left: 4 (40 enodes) 58.280 * * [simplify]: iters left: 3 (42 enodes) 58.294 * * [simplify]: Extracting #0: cost 1 inf + 0 58.294 * * [simplify]: Extracting #1: cost 8 inf + 0 58.294 * * [simplify]: Extracting #2: cost 11 inf + 123 58.294 * * [simplify]: Extracting #3: cost 13 inf + 245 58.294 * * [simplify]: Extracting #4: cost 12 inf + 247 58.295 * * [simplify]: Extracting #5: cost 3 inf + 1269 58.295 * * [simplify]: Extracting #6: cost 0 inf + 1555 58.296 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (* (sqrt 2) 2)) 58.296 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (sqrt (- 1 k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.296 * * * * [progress]: [ 126 / 234 ] simplifiying candidate # 58.297 * [simplify]: Simplifying (/ (/ (sqrt (- 1 k)) 2) 2) 58.297 * * [simplify]: iters left: 6 (7 enodes) 58.302 * * [simplify]: iters left: 5 (28 enodes) 58.312 * * [simplify]: iters left: 4 (35 enodes) 58.322 * * [simplify]: Extracting #0: cost 1 inf + 0 58.322 * * [simplify]: Extracting #1: cost 6 inf + 0 58.322 * * [simplify]: Extracting #2: cost 7 inf + 2 58.322 * * [simplify]: Extracting #3: cost 11 inf + 2 58.322 * * [simplify]: Extracting #4: cost 9 inf + 45 58.323 * * [simplify]: Extracting #5: cost 4 inf + 375 58.323 * * [simplify]: Extracting #6: cost 0 inf + 826 58.323 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 4) 58.323 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (sqrt (- 1 k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.324 * * * * [progress]: [ 127 / 234 ] simplifiying candidate # 58.324 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 58.324 * * [simplify]: iters left: 6 (7 enodes) 58.329 * * [simplify]: iters left: 5 (30 enodes) 58.339 * * [simplify]: iters left: 4 (49 enodes) 58.357 * * [simplify]: iters left: 3 (59 enodes) 58.372 * * [simplify]: iters left: 2 (64 enodes) 58.382 * * [simplify]: Extracting #0: cost 1 inf + 0 58.382 * * [simplify]: Extracting #1: cost 9 inf + 0 58.382 * * [simplify]: Extracting #2: cost 23 inf + 0 58.382 * * [simplify]: Extracting #3: cost 24 inf + 3 58.382 * * [simplify]: Extracting #4: cost 15 inf + 980 58.382 * * [simplify]: Extracting #5: cost 1 inf + 3007 58.383 * * [simplify]: Extracting #6: cost 0 inf + 3169 58.383 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 58.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.383 * * * * [progress]: [ 128 / 234 ] simplifiying candidate # 58.384 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.384 * * [simplify]: iters left: 6 (8 enodes) 58.387 * * [simplify]: iters left: 5 (33 enodes) 58.393 * * [simplify]: iters left: 4 (55 enodes) 58.403 * * [simplify]: iters left: 3 (72 enodes) 58.414 * * [simplify]: iters left: 2 (84 enodes) 58.425 * * [simplify]: iters left: 1 (88 enodes) 58.437 * * [simplify]: Extracting #0: cost 1 inf + 0 58.437 * * [simplify]: Extracting #1: cost 11 inf + 0 58.437 * * [simplify]: Extracting #2: cost 30 inf + 0 58.437 * * [simplify]: Extracting #3: cost 33 inf + 84 58.439 * * [simplify]: Extracting #4: cost 12 inf + 2402 58.440 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.441 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.441 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.441 * * * * [progress]: [ 129 / 234 ] simplifiying candidate # 58.441 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 58.441 * * [simplify]: iters left: 6 (7 enodes) 58.444 * * [simplify]: iters left: 5 (30 enodes) 58.450 * * [simplify]: iters left: 4 (52 enodes) 58.463 * * [simplify]: iters left: 3 (70 enodes) 58.473 * * [simplify]: iters left: 2 (81 enodes) 58.484 * * [simplify]: iters left: 1 (84 enodes) 58.495 * * [simplify]: Extracting #0: cost 1 inf + 0 58.495 * * [simplify]: Extracting #1: cost 11 inf + 0 58.495 * * [simplify]: Extracting #2: cost 25 inf + 203 58.495 * * [simplify]: Extracting #3: cost 25 inf + 530 58.495 * * [simplify]: Extracting #4: cost 4 inf + 2936 58.496 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.497 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 58.497 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.497 * * * * [progress]: [ 130 / 234 ] simplifiying candidate # 58.497 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 58.497 * * [simplify]: iters left: 6 (8 enodes) 58.500 * * [simplify]: iters left: 5 (33 enodes) 58.506 * * [simplify]: iters left: 4 (55 enodes) 58.515 * * [simplify]: iters left: 3 (72 enodes) 58.527 * * [simplify]: iters left: 2 (84 enodes) 58.547 * * [simplify]: iters left: 1 (88 enodes) 58.571 * * [simplify]: Extracting #0: cost 1 inf + 0 58.572 * * [simplify]: Extracting #1: cost 11 inf + 0 58.572 * * [simplify]: Extracting #2: cost 30 inf + 0 58.572 * * [simplify]: Extracting #3: cost 33 inf + 44 58.573 * * [simplify]: Extracting #4: cost 12 inf + 2362 58.574 * * [simplify]: Extracting #5: cost 0 inf + 4469 58.575 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 58.576 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.576 * * * * [progress]: [ 131 / 234 ] simplifiying candidate # 58.576 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 58.576 * * [simplify]: iters left: 6 (7 enodes) 58.581 * * [simplify]: iters left: 5 (30 enodes) 58.588 * * [simplify]: iters left: 4 (48 enodes) 58.596 * * [simplify]: iters left: 3 (56 enodes) 58.603 * * [simplify]: Extracting #0: cost 1 inf + 0 58.603 * * [simplify]: Extracting #1: cost 8 inf + 0 58.603 * * [simplify]: Extracting #2: cost 15 inf + 43 58.603 * * [simplify]: Extracting #3: cost 16 inf + 86 58.603 * * [simplify]: Extracting #4: cost 5 inf + 911 58.604 * * [simplify]: Extracting #5: cost 1 inf + 1198 58.604 * * [simplify]: Extracting #6: cost 0 inf + 1320 58.604 * [simplify]: Simplified to (/ (- 1 k) 2) 58.604 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.604 * * * * [progress]: [ 132 / 234 ] simplifiying candidate # 58.605 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 58.605 * * [simplify]: iters left: 6 (7 enodes) 58.607 * * [simplify]: iters left: 5 (30 enodes) 58.612 * * [simplify]: iters left: 4 (52 enodes) 58.629 * * [simplify]: iters left: 3 (70 enodes) 58.652 * * [simplify]: iters left: 2 (81 enodes) 58.674 * * [simplify]: iters left: 1 (84 enodes) 58.687 * * [simplify]: Extracting #0: cost 1 inf + 0 58.687 * * [simplify]: Extracting #1: cost 11 inf + 0 58.687 * * [simplify]: Extracting #2: cost 25 inf + 123 58.687 * * [simplify]: Extracting #3: cost 25 inf + 330 58.687 * * [simplify]: Extracting #4: cost 4 inf + 2256 58.688 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.688 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 58.688 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.689 * * * * [progress]: [ 133 / 234 ] simplifiying candidate # 58.689 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 58.689 * * [simplify]: iters left: 6 (7 enodes) 58.692 * * [simplify]: iters left: 5 (31 enodes) 58.697 * * [simplify]: iters left: 4 (51 enodes) 58.713 * * [simplify]: iters left: 3 (64 enodes) 58.727 * * [simplify]: iters left: 2 (77 enodes) 58.738 * * [simplify]: iters left: 1 (84 enodes) 58.751 * * [simplify]: Extracting #0: cost 1 inf + 0 58.752 * * [simplify]: Extracting #1: cost 11 inf + 0 58.752 * * [simplify]: Extracting #2: cost 26 inf + 82 58.752 * * [simplify]: Extracting #3: cost 24 inf + 692 58.753 * * [simplify]: Extracting #4: cost 3 inf + 3057 58.754 * * [simplify]: Extracting #5: cost 0 inf + 3504 58.755 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 58.755 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.755 * * * * [progress]: [ 134 / 234 ] simplifiying candidate # 58.756 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 58.756 * * [simplify]: iters left: 6 (7 enodes) 58.761 * * [simplify]: iters left: 5 (31 enodes) 58.772 * * [simplify]: iters left: 4 (51 enodes) 58.788 * * [simplify]: iters left: 3 (64 enodes) 58.807 * * [simplify]: iters left: 2 (77 enodes) 58.825 * * [simplify]: iters left: 1 (84 enodes) 58.837 * * [simplify]: Extracting #0: cost 1 inf + 0 58.837 * * [simplify]: Extracting #1: cost 11 inf + 0 58.837 * * [simplify]: Extracting #2: cost 26 inf + 42 58.837 * * [simplify]: Extracting #3: cost 24 inf + 452 58.837 * * [simplify]: Extracting #4: cost 3 inf + 2337 58.838 * * [simplify]: Extracting #5: cost 0 inf + 2704 58.838 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 58.838 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.839 * * * * [progress]: [ 135 / 234 ] simplifiying candidate # 58.839 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 58.839 * * [simplify]: iters left: 6 (6 enodes) 58.842 * * [simplify]: iters left: 5 (29 enodes) 58.847 * * [simplify]: iters left: 4 (44 enodes) 58.859 * * [simplify]: iters left: 3 (50 enodes) 58.874 * * [simplify]: iters left: 2 (57 enodes) 58.893 * * [simplify]: Extracting #0: cost 1 inf + 0 58.893 * * [simplify]: Extracting #1: cost 9 inf + 0 58.893 * * [simplify]: Extracting #2: cost 15 inf + 3 58.894 * * [simplify]: Extracting #3: cost 11 inf + 131 58.894 * * [simplify]: Extracting #4: cost 2 inf + 711 58.895 * * [simplify]: Extracting #5: cost 0 inf + 836 58.895 * [simplify]: Simplified to (- 1/4 (/ k 4)) 58.895 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.895 * * * * [progress]: [ 136 / 234 ] simplifiying candidate # 58.896 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 58.896 * * [simplify]: iters left: 6 (9 enodes) 58.902 * * [simplify]: iters left: 5 (36 enodes) 58.914 * * [simplify]: iters left: 4 (58 enodes) 58.931 * * [simplify]: iters left: 3 (71 enodes) 58.951 * * [simplify]: iters left: 2 (79 enodes) 58.971 * * [simplify]: iters left: 1 (80 enodes) 58.992 * * [simplify]: Extracting #0: cost 1 inf + 0 58.992 * * [simplify]: Extracting #1: cost 9 inf + 0 58.992 * * [simplify]: Extracting #2: cost 24 inf + 0 58.992 * * [simplify]: Extracting #3: cost 29 inf + 2 58.993 * * [simplify]: Extracting #4: cost 10 inf + 2233 58.994 * * [simplify]: Extracting #5: cost 1 inf + 4013 58.995 * * [simplify]: Extracting #6: cost 0 inf + 4135 58.997 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 58.997 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 58.997 * * * * [progress]: [ 137 / 234 ] simplifiying candidate # 58.997 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 58.997 * * [simplify]: iters left: 6 (10 enodes) 59.004 * * [simplify]: iters left: 5 (39 enodes) 59.017 * * [simplify]: iters left: 4 (64 enodes) 59.040 * * [simplify]: iters left: 3 (86 enodes) 59.065 * * [simplify]: iters left: 2 (99 enodes) 59.091 * * [simplify]: iters left: 1 (104 enodes) 59.117 * * [simplify]: Extracting #0: cost 1 inf + 0 59.117 * * [simplify]: Extracting #1: cost 11 inf + 0 59.117 * * [simplify]: Extracting #2: cost 31 inf + 0 59.117 * * [simplify]: Extracting #3: cost 39 inf + 2 59.118 * * [simplify]: Extracting #4: cost 22 inf + 1871 59.119 * * [simplify]: Extracting #5: cost 4 inf + 4865 59.122 * * [simplify]: Extracting #6: cost 0 inf + 5675 59.123 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 59.124 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.124 * * * * [progress]: [ 138 / 234 ] simplifiying candidate # 59.124 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 59.124 * * [simplify]: iters left: 6 (9 enodes) 59.130 * * [simplify]: iters left: 5 (36 enodes) 59.142 * * [simplify]: iters left: 4 (61 enodes) 59.161 * * [simplify]: iters left: 3 (84 enodes) 59.187 * * [simplify]: iters left: 2 (96 enodes) 59.212 * * [simplify]: iters left: 1 (100 enodes) 59.237 * * [simplify]: Extracting #0: cost 1 inf + 0 59.237 * * [simplify]: Extracting #1: cost 11 inf + 0 59.237 * * [simplify]: Extracting #2: cost 27 inf + 82 59.237 * * [simplify]: Extracting #3: cost 29 inf + 651 59.238 * * [simplify]: Extracting #4: cost 12 inf + 2763 59.239 * * [simplify]: Extracting #5: cost 1 inf + 4587 59.241 * * [simplify]: Extracting #6: cost 0 inf + 4710 59.243 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 59.243 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.243 * * * * [progress]: [ 139 / 234 ] simplifiying candidate # 59.244 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 59.244 * * [simplify]: iters left: 6 (10 enodes) 59.250 * * [simplify]: iters left: 5 (39 enodes) 59.263 * * [simplify]: iters left: 4 (64 enodes) 59.274 * * [simplify]: iters left: 3 (86 enodes) 59.286 * * [simplify]: iters left: 2 (99 enodes) 59.307 * * [simplify]: iters left: 1 (104 enodes) 59.321 * * [simplify]: Extracting #0: cost 1 inf + 0 59.321 * * [simplify]: Extracting #1: cost 11 inf + 0 59.322 * * [simplify]: Extracting #2: cost 31 inf + 0 59.322 * * [simplify]: Extracting #3: cost 39 inf + 2 59.322 * * [simplify]: Extracting #4: cost 22 inf + 1831 59.323 * * [simplify]: Extracting #5: cost 4 inf + 4785 59.324 * * [simplify]: Extracting #6: cost 0 inf + 5595 59.325 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 59.325 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.325 * * * * [progress]: [ 140 / 234 ] simplifiying candidate # 59.325 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 59.325 * * [simplify]: iters left: 6 (9 enodes) 59.328 * * [simplify]: iters left: 5 (36 enodes) 59.335 * * [simplify]: iters left: 4 (57 enodes) 59.352 * * [simplify]: iters left: 3 (73 enodes) 59.361 * * [simplify]: iters left: 2 (80 enodes) 59.372 * * [simplify]: iters left: 1 (81 enodes) 59.382 * * [simplify]: Extracting #0: cost 1 inf + 0 59.382 * * [simplify]: Extracting #1: cost 9 inf + 0 59.383 * * [simplify]: Extracting #2: cost 18 inf + 43 59.383 * * [simplify]: Extracting #3: cost 23 inf + 85 59.383 * * [simplify]: Extracting #4: cost 9 inf + 1271 59.383 * * [simplify]: Extracting #5: cost 0 inf + 2370 59.384 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 59.384 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.384 * * * * [progress]: [ 141 / 234 ] simplifiying candidate # 59.384 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 59.384 * * [simplify]: iters left: 6 (9 enodes) 59.390 * * [simplify]: iters left: 5 (36 enodes) 59.403 * * [simplify]: iters left: 4 (61 enodes) 59.423 * * [simplify]: iters left: 3 (84 enodes) 59.446 * * [simplify]: iters left: 2 (96 enodes) 59.470 * * [simplify]: iters left: 1 (100 enodes) 59.495 * * [simplify]: Extracting #0: cost 1 inf + 0 59.495 * * [simplify]: Extracting #1: cost 11 inf + 0 59.495 * * [simplify]: Extracting #2: cost 27 inf + 42 59.495 * * [simplify]: Extracting #3: cost 29 inf + 411 59.496 * * [simplify]: Extracting #4: cost 12 inf + 2163 59.497 * * [simplify]: Extracting #5: cost 1 inf + 3707 59.499 * * [simplify]: Extracting #6: cost 0 inf + 3830 59.500 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 59.500 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.500 * * * * [progress]: [ 142 / 234 ] simplifiying candidate # 59.501 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 59.501 * * [simplify]: iters left: 6 (9 enodes) 59.506 * * [simplify]: iters left: 5 (36 enodes) 59.520 * * [simplify]: iters left: 4 (62 enodes) 59.538 * * [simplify]: iters left: 3 (78 enodes) 59.562 * * [simplify]: iters left: 2 (90 enodes) 59.582 * * [simplify]: iters left: 1 (94 enodes) 59.594 * * [simplify]: Extracting #0: cost 1 inf + 0 59.594 * * [simplify]: Extracting #1: cost 11 inf + 0 59.594 * * [simplify]: Extracting #2: cost 27 inf + 1 59.594 * * [simplify]: Extracting #3: cost 29 inf + 409 59.595 * * [simplify]: Extracting #4: cost 12 inf + 2359 59.596 * * [simplify]: Extracting #5: cost 2 inf + 4022 59.596 * * [simplify]: Extracting #6: cost 0 inf + 4466 59.597 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 59.597 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.597 * * * * [progress]: [ 143 / 234 ] simplifiying candidate # 59.597 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 59.597 * * [simplify]: iters left: 6 (9 enodes) 59.601 * * [simplify]: iters left: 5 (36 enodes) 59.607 * * [simplify]: iters left: 4 (62 enodes) 59.616 * * [simplify]: iters left: 3 (78 enodes) 59.627 * * [simplify]: iters left: 2 (90 enodes) 59.643 * * [simplify]: iters left: 1 (94 enodes) 59.656 * * [simplify]: Extracting #0: cost 1 inf + 0 59.656 * * [simplify]: Extracting #1: cost 11 inf + 0 59.656 * * [simplify]: Extracting #2: cost 27 inf + 1 59.657 * * [simplify]: Extracting #3: cost 29 inf + 249 59.657 * * [simplify]: Extracting #4: cost 12 inf + 1879 59.657 * * [simplify]: Extracting #5: cost 2 inf + 3302 59.658 * * [simplify]: Extracting #6: cost 0 inf + 3666 59.659 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 59.659 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.659 * * * * [progress]: [ 144 / 234 ] simplifiying candidate # 59.659 * [simplify]: Simplifying (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 59.659 * * [simplify]: iters left: 6 (8 enodes) 59.662 * * [simplify]: iters left: 5 (34 enodes) 59.673 * * [simplify]: iters left: 4 (58 enodes) 59.687 * * [simplify]: iters left: 3 (65 enodes) 59.704 * * [simplify]: Extracting #0: cost 1 inf + 0 59.704 * * [simplify]: Extracting #1: cost 8 inf + 0 59.704 * * [simplify]: Extracting #2: cost 14 inf + 3 59.704 * * [simplify]: Extracting #3: cost 17 inf + 5 59.704 * * [simplify]: Extracting #4: cost 12 inf + 292 59.705 * * [simplify]: Extracting #5: cost 1 inf + 1355 59.705 * * [simplify]: Extracting #6: cost 0 inf + 1478 59.706 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 4) 59.706 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (- 1 (sqrt k)) 4)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.706 * * * * [progress]: [ 145 / 234 ] simplifiying candidate # 59.706 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 59.707 * * [simplify]: iters left: 6 (8 enodes) 59.711 * * [simplify]: iters left: 5 (33 enodes) 59.722 * * [simplify]: iters left: 4 (52 enodes) 59.731 * * [simplify]: iters left: 3 (62 enodes) 59.740 * * [simplify]: iters left: 2 (67 enodes) 59.750 * * [simplify]: Extracting #0: cost 1 inf + 0 59.750 * * [simplify]: Extracting #1: cost 9 inf + 0 59.750 * * [simplify]: Extracting #2: cost 23 inf + 0 59.750 * * [simplify]: Extracting #3: cost 24 inf + 285 59.750 * * [simplify]: Extracting #4: cost 18 inf + 975 59.750 * * [simplify]: Extracting #5: cost 7 inf + 2516 59.751 * * [simplify]: Extracting #6: cost 0 inf + 3891 59.752 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 59.752 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.752 * * * * [progress]: [ 146 / 234 ] simplifiying candidate # 59.752 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 59.752 * * [simplify]: iters left: 6 (9 enodes) 59.755 * * [simplify]: iters left: 5 (36 enodes) 59.767 * * [simplify]: iters left: 4 (58 enodes) 59.786 * * [simplify]: iters left: 3 (75 enodes) 59.807 * * [simplify]: iters left: 2 (87 enodes) 59.819 * * [simplify]: iters left: 1 (91 enodes) 59.830 * * [simplify]: Extracting #0: cost 1 inf + 0 59.831 * * [simplify]: Extracting #1: cost 11 inf + 0 59.831 * * [simplify]: Extracting #2: cost 30 inf + 0 59.831 * * [simplify]: Extracting #3: cost 36 inf + 83 59.831 * * [simplify]: Extracting #4: cost 30 inf + 451 59.831 * * [simplify]: Extracting #5: cost 10 inf + 3649 59.832 * * [simplify]: Extracting #6: cost 0 inf + 5431 59.834 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2))) 59.834 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.834 * * * * [progress]: [ 147 / 234 ] simplifiying candidate # 59.834 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 59.834 * * [simplify]: iters left: 6 (8 enodes) 59.839 * * [simplify]: iters left: 5 (33 enodes) 59.851 * * [simplify]: iters left: 4 (55 enodes) 59.865 * * [simplify]: iters left: 3 (73 enodes) 59.877 * * [simplify]: iters left: 2 (84 enodes) 59.889 * * [simplify]: iters left: 1 (87 enodes) 59.912 * * [simplify]: Extracting #0: cost 1 inf + 0 59.912 * * [simplify]: Extracting #1: cost 11 inf + 0 59.912 * * [simplify]: Extracting #2: cost 25 inf + 203 59.912 * * [simplify]: Extracting #3: cost 29 inf + 407 59.913 * * [simplify]: Extracting #4: cost 24 inf + 896 59.913 * * [simplify]: Extracting #5: cost 9 inf + 2805 59.915 * * [simplify]: Extracting #6: cost 0 inf + 4466 59.917 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (cbrt 2))) 59.917 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (- 1 (sqrt k)) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.917 * * * * [progress]: [ 148 / 234 ] simplifiying candidate # 59.917 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 59.917 * * [simplify]: iters left: 6 (9 enodes) 59.922 * * [simplify]: iters left: 5 (36 enodes) 59.928 * * [simplify]: iters left: 4 (58 enodes) 59.937 * * [simplify]: iters left: 3 (75 enodes) 59.948 * * [simplify]: iters left: 2 (87 enodes) 59.973 * * [simplify]: iters left: 1 (91 enodes) 59.991 * * [simplify]: Extracting #0: cost 1 inf + 0 59.991 * * [simplify]: Extracting #1: cost 11 inf + 0 59.992 * * [simplify]: Extracting #2: cost 30 inf + 0 59.992 * * [simplify]: Extracting #3: cost 36 inf + 43 59.992 * * [simplify]: Extracting #4: cost 30 inf + 451 59.992 * * [simplify]: Extracting #5: cost 10 inf + 3769 59.993 * * [simplify]: Extracting #6: cost 0 inf + 5431 59.994 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2))) 59.994 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 59.994 * * * * [progress]: [ 149 / 234 ] simplifiying candidate # 59.994 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 59.994 * * [simplify]: iters left: 6 (8 enodes) 59.997 * * [simplify]: iters left: 5 (33 enodes) 60.004 * * [simplify]: iters left: 4 (51 enodes) 60.013 * * [simplify]: iters left: 3 (59 enodes) 60.021 * * [simplify]: Extracting #0: cost 1 inf + 0 60.021 * * [simplify]: Extracting #1: cost 8 inf + 0 60.021 * * [simplify]: Extracting #2: cost 15 inf + 43 60.021 * * [simplify]: Extracting #3: cost 19 inf + 85 60.022 * * [simplify]: Extracting #4: cost 16 inf + 250 60.022 * * [simplify]: Extracting #5: cost 5 inf + 1311 60.022 * * [simplify]: Extracting #6: cost 0 inf + 1962 60.022 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 60.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.023 * * * * [progress]: [ 150 / 234 ] simplifiying candidate # 60.023 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 60.023 * * [simplify]: iters left: 6 (8 enodes) 60.025 * * [simplify]: iters left: 5 (33 enodes) 60.031 * * [simplify]: iters left: 4 (55 enodes) 60.040 * * [simplify]: iters left: 3 (73 enodes) 60.051 * * [simplify]: iters left: 2 (84 enodes) 60.063 * * [simplify]: iters left: 1 (87 enodes) 60.083 * * [simplify]: Extracting #0: cost 1 inf + 0 60.083 * * [simplify]: Extracting #1: cost 11 inf + 0 60.084 * * [simplify]: Extracting #2: cost 25 inf + 123 60.084 * * [simplify]: Extracting #3: cost 29 inf + 247 60.084 * * [simplify]: Extracting #4: cost 24 inf + 576 60.085 * * [simplify]: Extracting #5: cost 9 inf + 2245 60.086 * * [simplify]: Extracting #6: cost 0 inf + 3666 60.088 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* 2 (sqrt 2))) 60.088 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (- 1 (sqrt k)) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.089 * * * * [progress]: [ 151 / 234 ] simplifiying candidate # 60.089 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 60.089 * * [simplify]: iters left: 6 (8 enodes) 60.095 * * [simplify]: iters left: 5 (34 enodes) 60.106 * * [simplify]: iters left: 4 (54 enodes) 60.124 * * [simplify]: iters left: 3 (67 enodes) 60.144 * * [simplify]: iters left: 2 (80 enodes) 60.166 * * [simplify]: iters left: 1 (87 enodes) 60.189 * * [simplify]: Extracting #0: cost 1 inf + 0 60.190 * * [simplify]: Extracting #1: cost 11 inf + 0 60.190 * * [simplify]: Extracting #2: cost 25 inf + 203 60.190 * * [simplify]: Extracting #3: cost 26 inf + 773 60.190 * * [simplify]: Extracting #4: cost 24 inf + 896 60.191 * * [simplify]: Extracting #5: cost 8 inf + 3127 60.192 * * [simplify]: Extracting #6: cost 0 inf + 4466 60.194 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (cbrt 2) 2)) 60.194 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (* (cbrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.194 * * * * [progress]: [ 152 / 234 ] simplifiying candidate # 60.195 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 60.195 * * [simplify]: iters left: 6 (8 enodes) 60.200 * * [simplify]: iters left: 5 (34 enodes) 60.213 * * [simplify]: iters left: 4 (54 enodes) 60.232 * * [simplify]: iters left: 3 (67 enodes) 60.244 * * [simplify]: iters left: 2 (80 enodes) 60.256 * * [simplify]: iters left: 1 (87 enodes) 60.267 * * [simplify]: Extracting #0: cost 1 inf + 0 60.267 * * [simplify]: Extracting #1: cost 11 inf + 0 60.267 * * [simplify]: Extracting #2: cost 25 inf + 123 60.267 * * [simplify]: Extracting #3: cost 26 inf + 493 60.267 * * [simplify]: Extracting #4: cost 24 inf + 576 60.268 * * [simplify]: Extracting #5: cost 8 inf + 2527 60.268 * * [simplify]: Extracting #6: cost 0 inf + 3666 60.270 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (* (sqrt 2) 2)) 60.270 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (- 1 (sqrt k)) (* (sqrt 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.270 * * * * [progress]: [ 153 / 234 ] simplifiying candidate # 60.271 * [simplify]: Simplifying (/ (/ (- 1 (sqrt k)) 2) 2) 60.271 * * [simplify]: iters left: 6 (7 enodes) 60.276 * * [simplify]: iters left: 5 (32 enodes) 60.282 * * [simplify]: iters left: 4 (50 enodes) 60.290 * * [simplify]: iters left: 3 (54 enodes) 60.298 * * [simplify]: Extracting #0: cost 1 inf + 0 60.298 * * [simplify]: Extracting #1: cost 8 inf + 0 60.298 * * [simplify]: Extracting #2: cost 13 inf + 3 60.298 * * [simplify]: Extracting #3: cost 15 inf + 5 60.298 * * [simplify]: Extracting #4: cost 14 inf + 6 60.298 * * [simplify]: Extracting #5: cost 4 inf + 825 60.298 * * [simplify]: Extracting #6: cost 0 inf + 1234 60.299 * [simplify]: Simplified to (- 1/4 (/ (sqrt k) 4)) 60.299 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (- 1/4 (/ (sqrt k) 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.299 * * * * [progress]: [ 154 / 234 ] simplifiying candidate # 60.299 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 60.299 * * [simplify]: iters left: 6 (7 enodes) 60.301 * * [simplify]: iters left: 5 (30 enodes) 60.306 * * [simplify]: iters left: 4 (49 enodes) 60.316 * * [simplify]: iters left: 3 (59 enodes) 60.324 * * [simplify]: iters left: 2 (64 enodes) 60.337 * * [simplify]: Extracting #0: cost 1 inf + 0 60.337 * * [simplify]: Extracting #1: cost 9 inf + 0 60.337 * * [simplify]: Extracting #2: cost 23 inf + 0 60.337 * * [simplify]: Extracting #3: cost 24 inf + 3 60.338 * * [simplify]: Extracting #4: cost 15 inf + 980 60.338 * * [simplify]: Extracting #5: cost 1 inf + 3007 60.339 * * [simplify]: Extracting #6: cost 0 inf + 3169 60.340 * [simplify]: Simplified to (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 60.340 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.341 * * * * [progress]: [ 155 / 234 ] simplifiying candidate # 60.341 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.341 * * [simplify]: iters left: 6 (8 enodes) 60.346 * * [simplify]: iters left: 5 (33 enodes) 60.358 * * [simplify]: iters left: 4 (55 enodes) 60.376 * * [simplify]: iters left: 3 (72 enodes) 60.396 * * [simplify]: iters left: 2 (84 enodes) 60.420 * * [simplify]: iters left: 1 (88 enodes) 60.446 * * [simplify]: Extracting #0: cost 1 inf + 0 60.446 * * [simplify]: Extracting #1: cost 11 inf + 0 60.446 * * [simplify]: Extracting #2: cost 30 inf + 0 60.447 * * [simplify]: Extracting #3: cost 33 inf + 84 60.447 * * [simplify]: Extracting #4: cost 12 inf + 2402 60.449 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.450 * [simplify]: Simplified to (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.450 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.451 * * * * [progress]: [ 156 / 234 ] simplifiying candidate # 60.451 * [simplify]: Simplifying (/ (/ (- 1 k) (cbrt 2)) 2) 60.451 * * [simplify]: iters left: 6 (7 enodes) 60.456 * * [simplify]: iters left: 5 (30 enodes) 60.466 * * [simplify]: iters left: 4 (52 enodes) 60.484 * * [simplify]: iters left: 3 (70 enodes) 60.505 * * [simplify]: iters left: 2 (81 enodes) 60.518 * * [simplify]: iters left: 1 (84 enodes) 60.530 * * [simplify]: Extracting #0: cost 1 inf + 0 60.530 * * [simplify]: Extracting #1: cost 11 inf + 0 60.530 * * [simplify]: Extracting #2: cost 25 inf + 203 60.530 * * [simplify]: Extracting #3: cost 25 inf + 530 60.531 * * [simplify]: Extracting #4: cost 4 inf + 2936 60.531 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.532 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (cbrt 2)) 60.532 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.532 * * * * [progress]: [ 157 / 234 ] simplifiying candidate # 60.532 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 60.532 * * [simplify]: iters left: 6 (8 enodes) 60.535 * * [simplify]: iters left: 5 (33 enodes) 60.546 * * [simplify]: iters left: 4 (55 enodes) 60.558 * * [simplify]: iters left: 3 (72 enodes) 60.571 * * [simplify]: iters left: 2 (84 enodes) 60.583 * * [simplify]: iters left: 1 (88 enodes) 60.602 * * [simplify]: Extracting #0: cost 1 inf + 0 60.602 * * [simplify]: Extracting #1: cost 11 inf + 0 60.602 * * [simplify]: Extracting #2: cost 30 inf + 0 60.602 * * [simplify]: Extracting #3: cost 33 inf + 44 60.602 * * [simplify]: Extracting #4: cost 12 inf + 2362 60.603 * * [simplify]: Extracting #5: cost 0 inf + 4469 60.604 * [simplify]: Simplified to (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 60.604 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.604 * * * * [progress]: [ 158 / 234 ] simplifiying candidate # 60.604 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 60.604 * * [simplify]: iters left: 6 (7 enodes) 60.607 * * [simplify]: iters left: 5 (30 enodes) 60.612 * * [simplify]: iters left: 4 (48 enodes) 60.619 * * [simplify]: iters left: 3 (56 enodes) 60.629 * * [simplify]: Extracting #0: cost 1 inf + 0 60.629 * * [simplify]: Extracting #1: cost 8 inf + 0 60.630 * * [simplify]: Extracting #2: cost 15 inf + 43 60.630 * * [simplify]: Extracting #3: cost 16 inf + 86 60.630 * * [simplify]: Extracting #4: cost 5 inf + 911 60.631 * * [simplify]: Extracting #5: cost 1 inf + 1198 60.631 * * [simplify]: Extracting #6: cost 0 inf + 1320 60.632 * [simplify]: Simplified to (/ (- 1 k) 2) 60.632 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.632 * * * * [progress]: [ 159 / 234 ] simplifiying candidate # 60.632 * [simplify]: Simplifying (/ (/ (- 1 k) (sqrt 2)) 2) 60.632 * * [simplify]: iters left: 6 (7 enodes) 60.637 * * [simplify]: iters left: 5 (30 enodes) 60.647 * * [simplify]: iters left: 4 (52 enodes) 60.663 * * [simplify]: iters left: 3 (70 enodes) 60.685 * * [simplify]: iters left: 2 (81 enodes) 60.708 * * [simplify]: iters left: 1 (84 enodes) 60.731 * * [simplify]: Extracting #0: cost 1 inf + 0 60.731 * * [simplify]: Extracting #1: cost 11 inf + 0 60.731 * * [simplify]: Extracting #2: cost 25 inf + 123 60.731 * * [simplify]: Extracting #3: cost 25 inf + 330 60.732 * * [simplify]: Extracting #4: cost 4 inf + 2256 60.733 * * [simplify]: Extracting #5: cost 0 inf + 2704 60.734 * [simplify]: Simplified to (/ (/ (- 1 k) 2) (sqrt 2)) 60.735 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.735 * * * * [progress]: [ 160 / 234 ] simplifiying candidate # 60.735 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 60.735 * * [simplify]: iters left: 6 (7 enodes) 60.740 * * [simplify]: iters left: 5 (31 enodes) 60.751 * * [simplify]: iters left: 4 (51 enodes) 60.766 * * [simplify]: iters left: 3 (64 enodes) 60.785 * * [simplify]: iters left: 2 (77 enodes) 60.807 * * [simplify]: iters left: 1 (84 enodes) 60.831 * * [simplify]: Extracting #0: cost 1 inf + 0 60.831 * * [simplify]: Extracting #1: cost 11 inf + 0 60.831 * * [simplify]: Extracting #2: cost 26 inf + 82 60.832 * * [simplify]: Extracting #3: cost 24 inf + 692 60.832 * * [simplify]: Extracting #4: cost 3 inf + 3057 60.834 * * [simplify]: Extracting #5: cost 0 inf + 3504 60.835 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 60.835 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.835 * * * * [progress]: [ 161 / 234 ] simplifiying candidate # 60.835 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 60.836 * * [simplify]: iters left: 6 (7 enodes) 60.839 * * [simplify]: iters left: 5 (31 enodes) 60.844 * * [simplify]: iters left: 4 (51 enodes) 60.852 * * [simplify]: iters left: 3 (64 enodes) 60.861 * * [simplify]: iters left: 2 (77 enodes) 60.878 * * [simplify]: iters left: 1 (84 enodes) 60.900 * * [simplify]: Extracting #0: cost 1 inf + 0 60.900 * * [simplify]: Extracting #1: cost 11 inf + 0 60.900 * * [simplify]: Extracting #2: cost 26 inf + 42 60.901 * * [simplify]: Extracting #3: cost 24 inf + 452 60.902 * * [simplify]: Extracting #4: cost 3 inf + 2337 60.903 * * [simplify]: Extracting #5: cost 0 inf + 2704 60.904 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 60.904 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.905 * * * * [progress]: [ 162 / 234 ] simplifiying candidate # 60.905 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 60.905 * * [simplify]: iters left: 6 (6 enodes) 60.910 * * [simplify]: iters left: 5 (29 enodes) 60.921 * * [simplify]: iters left: 4 (44 enodes) 60.934 * * [simplify]: iters left: 3 (50 enodes) 60.952 * * [simplify]: iters left: 2 (57 enodes) 60.969 * * [simplify]: Extracting #0: cost 1 inf + 0 60.969 * * [simplify]: Extracting #1: cost 9 inf + 0 60.969 * * [simplify]: Extracting #2: cost 15 inf + 3 60.969 * * [simplify]: Extracting #3: cost 11 inf + 131 60.969 * * [simplify]: Extracting #4: cost 2 inf + 711 60.970 * * [simplify]: Extracting #5: cost 0 inf + 836 60.970 * [simplify]: Simplified to (- 1/4 (/ k 4)) 60.970 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 60.970 * * * * [progress]: [ 163 / 234 ] simplifiying candidate # 60.971 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (cbrt 2)) 60.971 * * [simplify]: iters left: 6 (7 enodes) 60.976 * * [simplify]: iters left: 5 (31 enodes) 60.987 * * [simplify]: iters left: 4 (51 enodes) 61.004 * * [simplify]: iters left: 3 (64 enodes) 61.023 * * [simplify]: iters left: 2 (77 enodes) 61.045 * * [simplify]: iters left: 1 (84 enodes) 61.068 * * [simplify]: Extracting #0: cost 1 inf + 0 61.068 * * [simplify]: Extracting #1: cost 11 inf + 0 61.068 * * [simplify]: Extracting #2: cost 26 inf + 82 61.068 * * [simplify]: Extracting #3: cost 24 inf + 692 61.069 * * [simplify]: Extracting #4: cost 3 inf + 3057 61.070 * * [simplify]: Extracting #5: cost 0 inf + 3504 61.071 * [simplify]: Simplified to (/ (- 1 k) (* 2 (cbrt 2))) 61.071 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (* 2 (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.072 * * * * [progress]: [ 164 / 234 ] simplifiying candidate # 61.072 * [simplify]: Simplifying (/ (/ (- 1 k) 2) (sqrt 2)) 61.072 * * [simplify]: iters left: 6 (7 enodes) 61.077 * * [simplify]: iters left: 5 (31 enodes) 61.088 * * [simplify]: iters left: 4 (51 enodes) 61.106 * * [simplify]: iters left: 3 (64 enodes) 61.125 * * [simplify]: iters left: 2 (77 enodes) 61.147 * * [simplify]: iters left: 1 (84 enodes) 61.169 * * [simplify]: Extracting #0: cost 1 inf + 0 61.169 * * [simplify]: Extracting #1: cost 11 inf + 0 61.169 * * [simplify]: Extracting #2: cost 26 inf + 42 61.170 * * [simplify]: Extracting #3: cost 24 inf + 452 61.170 * * [simplify]: Extracting #4: cost 3 inf + 2337 61.171 * * [simplify]: Extracting #5: cost 0 inf + 2704 61.171 * [simplify]: Simplified to (/ (- 1 k) (* 2 (sqrt 2))) 61.171 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (* 2 (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.172 * * * * [progress]: [ 165 / 234 ] simplifiying candidate # 61.172 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.172 * * [simplify]: iters left: 6 (6 enodes) 61.174 * * [simplify]: iters left: 5 (29 enodes) 61.179 * * [simplify]: iters left: 4 (44 enodes) 61.186 * * [simplify]: iters left: 3 (50 enodes) 61.194 * * [simplify]: iters left: 2 (57 enodes) 61.202 * * [simplify]: Extracting #0: cost 1 inf + 0 61.203 * * [simplify]: Extracting #1: cost 9 inf + 0 61.203 * * [simplify]: Extracting #2: cost 15 inf + 3 61.203 * * [simplify]: Extracting #3: cost 11 inf + 131 61.203 * * [simplify]: Extracting #4: cost 2 inf + 711 61.204 * * [simplify]: Extracting #5: cost 0 inf + 836 61.204 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.204 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.205 * * * * [progress]: [ 166 / 234 ] simplifiying candidate # 61.205 * [simplify]: Simplifying (/ (/ 1 2) (cbrt 2)) 61.205 * * [simplify]: iters left: 4 (5 enodes) 61.209 * * [simplify]: iters left: 3 (20 enodes) 61.215 * * [simplify]: iters left: 2 (27 enodes) 61.221 * * [simplify]: iters left: 1 (29 enodes) 61.225 * * [simplify]: Extracting #0: cost 1 inf + 0 61.225 * * [simplify]: Extracting #1: cost 8 inf + 0 61.225 * * [simplify]: Extracting #2: cost 4 inf + 449 61.226 * * [simplify]: Extracting #3: cost 0 inf + 895 61.226 * [simplify]: Simplified to (/ 1/2 (cbrt 2)) 61.226 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ 1/2 (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.226 * * * * [progress]: [ 167 / 234 ] simplifiying candidate # 61.226 * [simplify]: Simplifying (/ (/ 1 2) (sqrt 2)) 61.226 * * [simplify]: iters left: 4 (5 enodes) 61.228 * * [simplify]: iters left: 3 (20 enodes) 61.232 * * [simplify]: iters left: 2 (27 enodes) 61.236 * * [simplify]: iters left: 1 (29 enodes) 61.241 * * [simplify]: Extracting #0: cost 1 inf + 0 61.241 * * [simplify]: Extracting #1: cost 8 inf + 0 61.241 * * [simplify]: Extracting #2: cost 4 inf + 289 61.241 * * [simplify]: Extracting #3: cost 0 inf + 575 61.241 * [simplify]: Simplified to (/ 1/2 (sqrt 2)) 61.242 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ 1/2 (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.242 * * * * [progress]: [ 168 / 234 ] simplifiying candidate # 61.242 * [simplify]: Simplifying (/ (/ 1 2) 2) 61.242 * * [simplify]: iters left: 4 (4 enodes) 61.244 * * [simplify]: iters left: 3 (19 enodes) 61.251 * * [simplify]: iters left: 2 (23 enodes) 61.256 * * [simplify]: Extracting #0: cost 1 inf + 0 61.256 * * [simplify]: Extracting #1: cost 0 inf + 1 61.256 * [simplify]: Simplified to 1/4 61.256 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) 1/4) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.256 * * * * [progress]: [ 169 / 234 ] simplifiying candidate # 61.256 * [simplify]: Simplifying (/ (/ (- 1 k) 2) 2) 61.256 * * [simplify]: iters left: 6 (6 enodes) 61.259 * * [simplify]: iters left: 5 (29 enodes) 61.265 * * [simplify]: iters left: 4 (44 enodes) 61.271 * * [simplify]: iters left: 3 (50 enodes) 61.279 * * [simplify]: iters left: 2 (57 enodes) 61.289 * * [simplify]: Extracting #0: cost 1 inf + 0 61.289 * * [simplify]: Extracting #1: cost 9 inf + 0 61.289 * * [simplify]: Extracting #2: cost 15 inf + 3 61.289 * * [simplify]: Extracting #3: cost 11 inf + 131 61.289 * * [simplify]: Extracting #4: cost 2 inf + 711 61.290 * * [simplify]: Extracting #5: cost 0 inf + 836 61.290 * [simplify]: Simplified to (- 1/4 (/ k 4)) 61.290 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/4 (/ k 4))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.290 * * * * [progress]: [ 170 / 234 ] simplifiying candidate # 61.291 * [simplify]: Simplifying (/ 1 2) 61.291 * * [simplify]: iters left: 2 (3 enodes) 61.294 * * [simplify]: iters left: 1 (12 enodes) 61.298 * * [simplify]: Extracting #0: cost 1 inf + 0 61.298 * * [simplify]: Extracting #1: cost 0 inf + 1 61.298 * [simplify]: Simplified to 1/2 61.298 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.298 * * * * [progress]: [ 171 / 234 ] simplifiying candidate # 61.298 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 61.299 * * [simplify]: iters left: 6 (8 enodes) 61.304 * * [simplify]: iters left: 5 (38 enodes) 61.318 * * [simplify]: iters left: 4 (66 enodes) 61.344 * * [simplify]: iters left: 3 (110 enodes) 61.376 * * [simplify]: iters left: 2 (200 enodes) 61.430 * * [simplify]: iters left: 1 (403 enodes) 61.624 * * [simplify]: Extracting #0: cost 1 inf + 0 61.624 * * [simplify]: Extracting #1: cost 26 inf + 0 61.625 * * [simplify]: Extracting #2: cost 100 inf + 2 61.626 * * [simplify]: Extracting #3: cost 164 inf + 10 61.628 * * [simplify]: Extracting #4: cost 163 inf + 641 61.633 * * [simplify]: Extracting #5: cost 72 inf + 12998 61.644 * * [simplify]: Extracting #6: cost 25 inf + 35040 61.664 * * [simplify]: Extracting #7: cost 0 inf + 54806 61.680 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 61.680 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 61.680 * * * * [progress]: [ 172 / 234 ] simplifiying candidate # 61.680 * * * * [progress]: [ 173 / 234 ] simplifiying candidate # 61.680 * * * * [progress]: [ 174 / 234 ] simplifiying candidate # 61.680 * * * * [progress]: [ 175 / 234 ] simplifiying candidate # 61.680 * * * * [progress]: [ 176 / 234 ] simplifiying candidate # 61.680 * * * * [progress]: [ 177 / 234 ] simplifiying candidate # 61.681 * * * * [progress]: [ 178 / 234 ] simplifiying candidate # 61.681 * * * * [progress]: [ 179 / 234 ] simplifiying candidate # 61.681 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 61.681 * * * * [progress]: [ 181 / 234 ] simplifiying candidate # 61.681 * * * * [progress]: [ 182 / 234 ] simplifiying candidate # 61.681 * * * * [progress]: [ 183 / 234 ] simplifiying candidate # 61.681 * [simplify]: Simplifying (* n (* 2 PI)) 61.681 * * [simplify]: iters left: 4 (5 enodes) 61.684 * * [simplify]: iters left: 3 (19 enodes) 61.690 * * [simplify]: iters left: 2 (27 enodes) 61.698 * * [simplify]: iters left: 1 (32 enodes) 61.706 * * [simplify]: Extracting #0: cost 1 inf + 0 61.706 * * [simplify]: Extracting #1: cost 8 inf + 0 61.706 * * [simplify]: Extracting #2: cost 7 inf + 45 61.706 * * [simplify]: Extracting #3: cost 0 inf + 421 61.707 * [simplify]: Simplified to (* (* PI 2) n) 61.707 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 61.707 * * * * [progress]: [ 184 / 234 ] simplifiying candidate # 61.707 * [simplify]: Simplifying (* n (* 2 PI)) 61.707 * * [simplify]: iters left: 4 (5 enodes) 61.711 * * [simplify]: iters left: 3 (19 enodes) 61.717 * * [simplify]: iters left: 2 (27 enodes) 61.725 * * [simplify]: iters left: 1 (32 enodes) 61.733 * * [simplify]: Extracting #0: cost 1 inf + 0 61.733 * * [simplify]: Extracting #1: cost 8 inf + 0 61.733 * * [simplify]: Extracting #2: cost 7 inf + 45 61.733 * * [simplify]: Extracting #3: cost 0 inf + 421 61.733 * [simplify]: Simplified to (* (* PI 2) n) 61.734 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2))))) 61.734 * * * * [progress]: [ 185 / 234 ] simplifiying candidate # 61.734 * * * * [progress]: [ 186 / 234 ] simplifiying candidate # 61.734 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 61.734 * * [simplify]: iters left: 5 (8 enodes) 61.736 * * [simplify]: iters left: 4 (28 enodes) 61.740 * * [simplify]: iters left: 3 (36 enodes) 61.746 * * [simplify]: iters left: 2 (42 enodes) 61.751 * * [simplify]: Extracting #0: cost 1 inf + 0 61.751 * * [simplify]: Extracting #1: cost 8 inf + 0 61.751 * * [simplify]: Extracting #2: cost 17 inf + 0 61.751 * * [simplify]: Extracting #3: cost 12 inf + 145 61.751 * * [simplify]: Extracting #4: cost 5 inf + 1197 61.752 * * [simplify]: Extracting #5: cost 1 inf + 1925 61.752 * * [simplify]: Extracting #6: cost 0 inf + 2107 61.752 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 61.752 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2))))) 61.753 * * * * [progress]: [ 187 / 234 ] simplifiying candidate # 61.753 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 61.753 * * [simplify]: iters left: 5 (7 enodes) 61.755 * * [simplify]: iters left: 4 (26 enodes) 61.760 * * [simplify]: iters left: 3 (35 enodes) 61.769 * * [simplify]: iters left: 2 (44 enodes) 61.783 * * [simplify]: Extracting #0: cost 1 inf + 0 61.783 * * [simplify]: Extracting #1: cost 8 inf + 0 61.783 * * [simplify]: Extracting #2: cost 18 inf + 0 61.783 * * [simplify]: Extracting #3: cost 15 inf + 74 61.783 * * [simplify]: Extracting #4: cost 8 inf + 554 61.784 * * [simplify]: Extracting #5: cost 0 inf + 1911 61.784 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 61.784 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2))))) 61.785 * * * * [progress]: [ 188 / 234 ] simplifiying candidate # 61.785 * * * * [progress]: [ 189 / 234 ] simplifiying candidate # 61.785 * * * * [progress]: [ 190 / 234 ] simplifiying candidate # 61.785 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 61.785 * * [simplify]: iters left: 6 (11 enodes) 61.793 * * [simplify]: iters left: 5 (48 enodes) 61.812 * * [simplify]: iters left: 4 (121 enodes) 61.847 * * [simplify]: iters left: 3 (348 enodes) 62.098 * * [simplify]: Extracting #0: cost 1 inf + 0 62.098 * * [simplify]: Extracting #1: cost 67 inf + 0 62.100 * * [simplify]: Extracting #2: cost 165 inf + 786 62.105 * * [simplify]: Extracting #3: cost 85 inf + 10177 62.117 * * [simplify]: Extracting #4: cost 9 inf + 26399 62.131 * * [simplify]: Extracting #5: cost 0 inf + 28546 62.143 * * [simplify]: Extracting #6: cost 0 inf + 28506 62.156 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 62.156 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2))))) 62.156 * * * * [progress]: [ 191 / 234 ] simplifiying candidate # 62.157 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 62.157 * * [simplify]: iters left: 6 (9 enodes) 62.163 * * [simplify]: iters left: 5 (45 enodes) 62.181 * * [simplify]: iters left: 4 (117 enodes) 62.224 * * [simplify]: iters left: 3 (374 enodes) 62.495 * * [simplify]: Extracting #0: cost 1 inf + 0 62.495 * * [simplify]: Extracting #1: cost 77 inf + 0 62.497 * * [simplify]: Extracting #2: cost 184 inf + 984 62.500 * * [simplify]: Extracting #3: cost 106 inf + 11690 62.513 * * [simplify]: Extracting #4: cost 6 inf + 30376 62.531 * * [simplify]: Extracting #5: cost 0 inf + 31644 62.549 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 62.549 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2))))) 62.550 * * * * [progress]: [ 192 / 234 ] simplifiying candidate # 62.550 * * * * [progress]: [ 193 / 234 ] simplifiying candidate # 62.550 * * * * [progress]: [ 194 / 234 ] simplifiying candidate # 62.550 * * * * [progress]: [ 195 / 234 ] simplifiying candidate # 62.550 * * * * [progress]: [ 196 / 234 ] simplifiying candidate # 62.550 * * * * [progress]: [ 197 / 234 ] simplifiying candidate # 62.550 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 62.550 * * [simplify]: iters left: 3 (3 enodes) 62.552 * * [simplify]: iters left: 2 (9 enodes) 62.554 * * [simplify]: Extracting #0: cost 1 inf + 0 62.555 * * [simplify]: Extracting #1: cost 3 inf + 0 62.555 * * [simplify]: Extracting #2: cost 5 inf + 0 62.555 * * [simplify]: Extracting #3: cost 4 inf + 1 62.555 * * [simplify]: Extracting #4: cost 0 inf + 405 62.555 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 62.555 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 62.555 * * * * [progress]: [ 198 / 234 ] simplifiying candidate # 62.555 * [simplify]: Simplifying (sqrt n) 62.555 * * [simplify]: iters left: 1 (2 enodes) 62.556 * * [simplify]: Extracting #0: cost 1 inf + 0 62.556 * * [simplify]: Extracting #1: cost 3 inf + 0 62.556 * * [simplify]: Extracting #2: cost 2 inf + 1 62.556 * * [simplify]: Extracting #3: cost 0 inf + 83 62.557 * [simplify]: Simplified to (sqrt n) 62.557 * [simplify]: Simplified (2 2 2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2))))) 62.557 * * * * [progress]: [ 199 / 234 ] simplifiying candidate # 62.557 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))> 62.557 * * * * [progress]: [ 201 / 234 ] simplifiying candidate # 62.557 * * * * [progress]: [ 202 / 234 ] simplifiying candidate # 62.557 * * * * [progress]: [ 203 / 234 ] simplifiying candidate # 62.557 * * * * [progress]: [ 204 / 234 ] simplifiying candidate # 62.557 * [simplify]: Simplifying (* n (* 2 PI)) 62.557 * * [simplify]: iters left: 4 (5 enodes) 62.560 * * [simplify]: iters left: 3 (19 enodes) 62.566 * * [simplify]: iters left: 2 (27 enodes) 62.573 * * [simplify]: iters left: 1 (32 enodes) 62.578 * * [simplify]: Extracting #0: cost 1 inf + 0 62.578 * * [simplify]: Extracting #1: cost 8 inf + 0 62.578 * * [simplify]: Extracting #2: cost 7 inf + 45 62.578 * * [simplify]: Extracting #3: cost 0 inf + 421 62.578 * [simplify]: Simplified to (* (* PI 2) n) 62.578 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.578 * * * * [progress]: [ 205 / 234 ] simplifiying candidate # 62.579 * [simplify]: Simplifying (* n (* 2 PI)) 62.579 * * [simplify]: iters left: 4 (5 enodes) 62.580 * * [simplify]: iters left: 3 (19 enodes) 62.583 * * [simplify]: iters left: 2 (27 enodes) 62.587 * * [simplify]: iters left: 1 (32 enodes) 62.594 * * [simplify]: Extracting #0: cost 1 inf + 0 62.594 * * [simplify]: Extracting #1: cost 8 inf + 0 62.594 * * [simplify]: Extracting #2: cost 7 inf + 45 62.594 * * [simplify]: Extracting #3: cost 0 inf + 421 62.595 * [simplify]: Simplified to (* (* PI 2) n) 62.595 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.595 * * * * [progress]: [ 206 / 234 ] simplifiying candidate # 62.595 * * * * [progress]: [ 207 / 234 ] simplifiying candidate # 62.595 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 62.595 * * [simplify]: iters left: 5 (8 enodes) 62.600 * * [simplify]: iters left: 4 (28 enodes) 62.609 * * [simplify]: iters left: 3 (36 enodes) 62.619 * * [simplify]: iters left: 2 (42 enodes) 62.630 * * [simplify]: Extracting #0: cost 1 inf + 0 62.630 * * [simplify]: Extracting #1: cost 8 inf + 0 62.630 * * [simplify]: Extracting #2: cost 17 inf + 0 62.630 * * [simplify]: Extracting #3: cost 12 inf + 145 62.631 * * [simplify]: Extracting #4: cost 5 inf + 1197 62.631 * * [simplify]: Extracting #5: cost 1 inf + 1925 62.632 * * [simplify]: Extracting #6: cost 0 inf + 2107 62.632 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 62.632 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.633 * * * * [progress]: [ 208 / 234 ] simplifiying candidate # 62.633 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 62.633 * * [simplify]: iters left: 5 (7 enodes) 62.637 * * [simplify]: iters left: 4 (26 enodes) 62.645 * * [simplify]: iters left: 3 (35 enodes) 62.656 * * [simplify]: iters left: 2 (44 enodes) 62.668 * * [simplify]: Extracting #0: cost 1 inf + 0 62.668 * * [simplify]: Extracting #1: cost 8 inf + 0 62.668 * * [simplify]: Extracting #2: cost 18 inf + 0 62.668 * * [simplify]: Extracting #3: cost 15 inf + 74 62.668 * * [simplify]: Extracting #4: cost 8 inf + 554 62.669 * * [simplify]: Extracting #5: cost 0 inf + 1911 62.669 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 62.669 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.670 * * * * [progress]: [ 209 / 234 ] simplifiying candidate # 62.670 * * * * [progress]: [ 210 / 234 ] simplifiying candidate # 62.670 * * * * [progress]: [ 211 / 234 ] simplifiying candidate # 62.670 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 62.670 * * [simplify]: iters left: 6 (11 enodes) 62.678 * * [simplify]: iters left: 5 (48 enodes) 62.697 * * [simplify]: iters left: 4 (121 enodes) 62.728 * * [simplify]: iters left: 3 (348 enodes) 62.920 * * [simplify]: Extracting #0: cost 1 inf + 0 62.920 * * [simplify]: Extracting #1: cost 67 inf + 0 62.921 * * [simplify]: Extracting #2: cost 165 inf + 786 62.924 * * [simplify]: Extracting #3: cost 85 inf + 10177 62.936 * * [simplify]: Extracting #4: cost 9 inf + 26399 62.949 * * [simplify]: Extracting #5: cost 0 inf + 28546 62.961 * * [simplify]: Extracting #6: cost 0 inf + 28506 62.974 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 62.974 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 62.974 * * * * [progress]: [ 212 / 234 ] simplifiying candidate # 62.975 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 62.975 * * [simplify]: iters left: 6 (9 enodes) 62.981 * * [simplify]: iters left: 5 (45 enodes) 62.999 * * [simplify]: iters left: 4 (117 enodes) 63.066 * * [simplify]: iters left: 3 (374 enodes) 63.404 * * [simplify]: Extracting #0: cost 1 inf + 0 63.404 * * [simplify]: Extracting #1: cost 77 inf + 0 63.405 * * [simplify]: Extracting #2: cost 184 inf + 984 63.410 * * [simplify]: Extracting #3: cost 106 inf + 11690 63.418 * * [simplify]: Extracting #4: cost 6 inf + 30376 63.427 * * [simplify]: Extracting #5: cost 0 inf + 31644 63.437 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 63.437 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.437 * * * * [progress]: [ 213 / 234 ] simplifiying candidate # 63.437 * * * * [progress]: [ 214 / 234 ] simplifiying candidate # 63.437 * * * * [progress]: [ 215 / 234 ] simplifiying candidate # 63.437 * * * * [progress]: [ 216 / 234 ] simplifiying candidate # 63.437 * * * * [progress]: [ 217 / 234 ] simplifiying candidate # 63.437 * * * * [progress]: [ 218 / 234 ] simplifiying candidate # 63.438 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 63.438 * * [simplify]: iters left: 3 (3 enodes) 63.438 * * [simplify]: iters left: 2 (9 enodes) 63.439 * * [simplify]: Extracting #0: cost 1 inf + 0 63.440 * * [simplify]: Extracting #1: cost 3 inf + 0 63.440 * * [simplify]: Extracting #2: cost 5 inf + 0 63.440 * * [simplify]: Extracting #3: cost 4 inf + 1 63.440 * * [simplify]: Extracting #4: cost 0 inf + 405 63.440 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 63.440 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.440 * * * * [progress]: [ 219 / 234 ] simplifiying candidate # 63.440 * [simplify]: Simplifying (sqrt n) 63.440 * * [simplify]: iters left: 1 (2 enodes) 63.440 * * [simplify]: Extracting #0: cost 1 inf + 0 63.441 * * [simplify]: Extracting #1: cost 3 inf + 0 63.441 * * [simplify]: Extracting #2: cost 2 inf + 1 63.441 * * [simplify]: Extracting #3: cost 0 inf + 83 63.441 * [simplify]: Simplified to (sqrt n) 63.441 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 63.441 * * * * [progress]: [ 220 / 234 ] simplifiying candidate # 63.441 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> 63.441 * * * * [progress]: [ 222 / 234 ] simplifiying candidate # 63.441 * * * * [progress]: [ 223 / 234 ] simplifiying candidate # 63.441 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 63.441 * * [simplify]: iters left: 6 (37 enodes) 63.453 * * [simplify]: iters left: 5 (193 enodes) 63.523 * * [simplify]: Extracting #0: cost 1 inf + 0 63.523 * * [simplify]: Extracting #1: cost 22 inf + 0 63.524 * * [simplify]: Extracting #2: cost 104 inf + 1 63.524 * * [simplify]: Extracting #3: cost 170 inf + 88 63.525 * * [simplify]: Extracting #4: cost 195 inf + 509 63.527 * * [simplify]: Extracting #5: cost 136 inf + 15293 63.541 * * [simplify]: Extracting #6: cost 47 inf + 48666 63.569 * * [simplify]: Extracting #7: cost 3 inf + 79281 63.603 * * [simplify]: Extracting #8: cost 0 inf + 80934 63.641 * * [simplify]: Extracting #9: cost 0 inf + 80864 63.658 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 63.658 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4))))))))))) 63.658 * * * * [progress]: [ 224 / 234 ] simplifiying candidate # 63.658 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 63.659 * * [simplify]: iters left: 6 (15 enodes) 63.663 * * [simplify]: iters left: 5 (65 enodes) 63.679 * * [simplify]: iters left: 4 (123 enodes) 63.735 * * [simplify]: iters left: 3 (366 enodes) 63.940 * * [simplify]: Extracting #0: cost 1 inf + 0 63.940 * * [simplify]: Extracting #1: cost 37 inf + 0 63.941 * * [simplify]: Extracting #2: cost 212 inf + 143 63.943 * * [simplify]: Extracting #3: cost 347 inf + 1812 63.947 * * [simplify]: Extracting #4: cost 207 inf + 31167 63.976 * * [simplify]: Extracting #5: cost 25 inf + 82567 64.008 * * [simplify]: Extracting #6: cost 0 inf + 89048 64.024 * * [simplify]: Extracting #7: cost 0 inf + 88844 64.041 * * [simplify]: Extracting #8: cost 0 inf + 88842 64.074 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 64.074 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n))))))) 64.074 * * * * [progress]: [ 225 / 234 ] simplifiying candidate # 64.074 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 64.074 * * [simplify]: iters left: 6 (16 enodes) 64.079 * * [simplify]: iters left: 5 (67 enodes) 64.092 * * [simplify]: iters left: 4 (134 enodes) 64.143 * * [simplify]: iters left: 3 (412 enodes) 64.416 * * [simplify]: Extracting #0: cost 1 inf + 0 64.416 * * [simplify]: Extracting #1: cost 39 inf + 0 64.417 * * [simplify]: Extracting #2: cost 241 inf + 72 64.418 * * [simplify]: Extracting #3: cost 448 inf + 1069 64.424 * * [simplify]: Extracting #4: cost 308 inf + 32324 64.450 * * [simplify]: Extracting #5: cost 42 inf + 110073 64.478 * * [simplify]: Extracting #6: cost 0 inf + 122155 64.504 * * [simplify]: Extracting #7: cost 0 inf + 121985 64.530 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 64.530 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))) 64.530 * * * * [progress]: [ 226 / 234 ] simplifiying candidate # 64.530 * [simplify]: Simplifying (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) 64.531 * * [simplify]: iters left: 6 (37 enodes) 64.553 * * [simplify]: iters left: 5 (193 enodes) 64.609 * * [simplify]: Extracting #0: cost 1 inf + 0 64.610 * * [simplify]: Extracting #1: cost 22 inf + 0 64.610 * * [simplify]: Extracting #2: cost 104 inf + 1 64.611 * * [simplify]: Extracting #3: cost 170 inf + 88 64.612 * * [simplify]: Extracting #4: cost 195 inf + 509 64.615 * * [simplify]: Extracting #5: cost 136 inf + 15293 64.622 * * [simplify]: Extracting #6: cost 47 inf + 48666 64.637 * * [simplify]: Extracting #7: cost 3 inf + 79281 64.654 * * [simplify]: Extracting #8: cost 0 inf + 80934 64.672 * * [simplify]: Extracting #9: cost 0 inf + 80864 64.692 * [simplify]: Simplified to (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) 64.692 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* (log (* PI 2)) 1/16) (* (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* k k)) (- (fma 1/32 (* (* k k) (+ (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (exp (* (+ (log n) (log (* PI 2))) 1/4)) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* 1/4 (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/4))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/4)))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 64.693 * * * * [progress]: [ 227 / 234 ] simplifiying candidate # 64.693 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 64.693 * * [simplify]: iters left: 6 (15 enodes) 64.698 * * [simplify]: iters left: 5 (65 enodes) 64.710 * * [simplify]: iters left: 4 (123 enodes) 64.761 * * [simplify]: iters left: 3 (366 enodes) 64.913 * * [simplify]: Extracting #0: cost 1 inf + 0 64.913 * * [simplify]: Extracting #1: cost 37 inf + 0 64.914 * * [simplify]: Extracting #2: cost 212 inf + 143 64.917 * * [simplify]: Extracting #3: cost 347 inf + 1812 64.926 * * [simplify]: Extracting #4: cost 207 inf + 31167 64.950 * * [simplify]: Extracting #5: cost 25 inf + 82567 64.966 * * [simplify]: Extracting #6: cost 0 inf + 89048 64.996 * * [simplify]: Extracting #7: cost 0 inf + 88844 65.021 * * [simplify]: Extracting #8: cost 0 inf + 88842 65.037 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) 65.037 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (+ (log (* 2 PI)) (log n)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.038 * * * * [progress]: [ 228 / 234 ] simplifiying candidate # 65.038 * [simplify]: Simplifying (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 65.038 * * [simplify]: iters left: 6 (16 enodes) 65.046 * * [simplify]: iters left: 5 (67 enodes) 65.072 * * [simplify]: iters left: 4 (134 enodes) 65.133 * * [simplify]: iters left: 3 (412 enodes) 65.405 * * [simplify]: Extracting #0: cost 1 inf + 0 65.405 * * [simplify]: Extracting #1: cost 39 inf + 0 65.406 * * [simplify]: Extracting #2: cost 241 inf + 72 65.408 * * [simplify]: Extracting #3: cost 448 inf + 1069 65.413 * * [simplify]: Extracting #4: cost 308 inf + 32324 65.433 * * [simplify]: Extracting #5: cost 42 inf + 110073 65.479 * * [simplify]: Extracting #6: cost 0 inf + 122155 65.508 * * [simplify]: Extracting #7: cost 0 inf + 121985 65.545 * [simplify]: Simplified to (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 65.545 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (- 1/4 (* 1/4 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.546 * * * * [progress]: [ 229 / 234 ] simplifiying candidate # 65.546 * [simplify]: Simplifying (* 2 (* n PI)) 65.546 * * [simplify]: iters left: 4 (5 enodes) 65.549 * * [simplify]: iters left: 3 (19 enodes) 65.555 * * [simplify]: iters left: 2 (27 enodes) 65.563 * * [simplify]: iters left: 1 (32 enodes) 65.572 * * [simplify]: Extracting #0: cost 1 inf + 0 65.572 * * [simplify]: Extracting #1: cost 8 inf + 0 65.572 * * [simplify]: Extracting #2: cost 7 inf + 45 65.573 * * [simplify]: Extracting #3: cost 0 inf + 421 65.573 * [simplify]: Simplified to (* (* PI n) 2) 65.573 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 65.573 * * * * [progress]: [ 230 / 234 ] simplifiying candidate # 65.573 * [simplify]: Simplifying (* 2 (* n PI)) 65.574 * * [simplify]: iters left: 4 (5 enodes) 65.576 * * [simplify]: iters left: 3 (19 enodes) 65.583 * * [simplify]: iters left: 2 (27 enodes) 65.591 * * [simplify]: iters left: 1 (32 enodes) 65.599 * * [simplify]: Extracting #0: cost 1 inf + 0 65.599 * * [simplify]: Extracting #1: cost 8 inf + 0 65.599 * * [simplify]: Extracting #2: cost 7 inf + 45 65.599 * * [simplify]: Extracting #3: cost 0 inf + 421 65.600 * [simplify]: Simplified to (* (* PI n) 2) 65.600 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 65.600 * * * * [progress]: [ 231 / 234 ] simplifiying candidate # 65.600 * [simplify]: Simplifying (* 2 (* n PI)) 65.600 * * [simplify]: iters left: 4 (5 enodes) 65.603 * * [simplify]: iters left: 3 (19 enodes) 65.609 * * [simplify]: iters left: 2 (27 enodes) 65.617 * * [simplify]: iters left: 1 (32 enodes) 65.625 * * [simplify]: Extracting #0: cost 1 inf + 0 65.625 * * [simplify]: Extracting #1: cost 8 inf + 0 65.625 * * [simplify]: Extracting #2: cost 7 inf + 45 65.626 * * [simplify]: Extracting #3: cost 0 inf + 421 65.626 * [simplify]: Simplified to (* (* PI n) 2) 65.626 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2))))) 65.626 * * * * [progress]: [ 232 / 234 ] simplifiying candidate # 65.626 * [simplify]: Simplifying (* 2 (* n PI)) 65.626 * * [simplify]: iters left: 4 (5 enodes) 65.629 * * [simplify]: iters left: 3 (19 enodes) 65.635 * * [simplify]: iters left: 2 (27 enodes) 65.644 * * [simplify]: iters left: 1 (32 enodes) 65.654 * * [simplify]: Extracting #0: cost 1 inf + 0 65.654 * * [simplify]: Extracting #1: cost 8 inf + 0 65.654 * * [simplify]: Extracting #2: cost 7 inf + 45 65.654 * * [simplify]: Extracting #3: cost 0 inf + 421 65.654 * [simplify]: Simplified to (* (* PI n) 2) 65.654 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.655 * * * * [progress]: [ 233 / 234 ] simplifiying candidate # 65.655 * [simplify]: Simplifying (* 2 (* n PI)) 65.655 * * [simplify]: iters left: 4 (5 enodes) 65.658 * * [simplify]: iters left: 3 (19 enodes) 65.664 * * [simplify]: iters left: 2 (27 enodes) 65.673 * * [simplify]: iters left: 1 (32 enodes) 65.680 * * [simplify]: Extracting #0: cost 1 inf + 0 65.681 * * [simplify]: Extracting #1: cost 8 inf + 0 65.681 * * [simplify]: Extracting #2: cost 7 inf + 45 65.681 * * [simplify]: Extracting #3: cost 0 inf + 421 65.681 * [simplify]: Simplified to (* (* PI n) 2) 65.681 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.682 * * * * [progress]: [ 234 / 234 ] simplifiying candidate # 65.682 * [simplify]: Simplifying (* 2 (* n PI)) 65.682 * * [simplify]: iters left: 4 (5 enodes) 65.685 * * [simplify]: iters left: 3 (19 enodes) 65.691 * * [simplify]: iters left: 2 (27 enodes) 65.699 * * [simplify]: iters left: 1 (32 enodes) 65.706 * * [simplify]: Extracting #0: cost 1 inf + 0 65.707 * * [simplify]: Extracting #1: cost 8 inf + 0 65.707 * * [simplify]: Extracting #2: cost 7 inf + 45 65.707 * * [simplify]: Extracting #3: cost 0 inf + 421 65.707 * [simplify]: Simplified to (* (* PI n) 2) 65.707 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 65.707 * * * [progress]: adding candidates to table 69.046 * * [progress]: iteration 4 / 4 69.046 * * * [progress]: picking best candidate 69.075 * * * * [pick]: Picked # 69.075 * * * [progress]: localizing error 69.112 * * * [progress]: generating rewritten candidates 69.112 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 69.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 69.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 69.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 69.164 * * * [progress]: generating series expansions 69.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 69.164 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 69.164 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 69.164 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 69.164 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 69.165 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 69.165 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.165 * [taylor]: Taking taylor expansion of 1/2 in k 69.165 * [backup-simplify]: Simplify 1/2 into 1/2 69.165 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.165 * [taylor]: Taking taylor expansion of 1 in k 69.165 * [backup-simplify]: Simplify 1 into 1 69.165 * [taylor]: Taking taylor expansion of k in k 69.165 * [backup-simplify]: Simplify 0 into 0 69.165 * [backup-simplify]: Simplify 1 into 1 69.165 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.165 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.165 * [taylor]: Taking taylor expansion of 2 in k 69.165 * [backup-simplify]: Simplify 2 into 2 69.165 * [taylor]: Taking taylor expansion of PI in k 69.165 * [backup-simplify]: Simplify PI into PI 69.165 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.166 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.166 * [backup-simplify]: Simplify (- 0) into 0 69.166 * [backup-simplify]: Simplify (+ 1 0) into 1 69.166 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.167 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.169 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.169 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 69.169 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 69.169 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 69.169 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.169 * [taylor]: Taking taylor expansion of 1/2 in k 69.169 * [backup-simplify]: Simplify 1/2 into 1/2 69.169 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.169 * [taylor]: Taking taylor expansion of 1 in k 69.169 * [backup-simplify]: Simplify 1 into 1 69.169 * [taylor]: Taking taylor expansion of k in k 69.169 * [backup-simplify]: Simplify 0 into 0 69.169 * [backup-simplify]: Simplify 1 into 1 69.169 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.169 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.169 * [taylor]: Taking taylor expansion of 2 in k 69.169 * [backup-simplify]: Simplify 2 into 2 69.169 * [taylor]: Taking taylor expansion of PI in k 69.169 * [backup-simplify]: Simplify PI into PI 69.169 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.170 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.170 * [backup-simplify]: Simplify (- 0) into 0 69.170 * [backup-simplify]: Simplify (+ 1 0) into 1 69.171 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.171 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.173 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.174 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 69.174 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.175 * [backup-simplify]: Simplify (- 1) into -1 69.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.176 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 69.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 69.191 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 69.193 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 69.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.196 * [backup-simplify]: Simplify (- 0) into 0 69.196 * [backup-simplify]: Simplify (+ 0 0) into 0 69.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 69.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 69.207 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 69.209 * [backup-simplify]: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 69.216 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 69.217 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 69.217 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 69.217 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 69.217 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 69.217 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 69.217 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.217 * [taylor]: Taking taylor expansion of 1/2 in k 69.217 * [backup-simplify]: Simplify 1/2 into 1/2 69.217 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.217 * [taylor]: Taking taylor expansion of 1 in k 69.217 * [backup-simplify]: Simplify 1 into 1 69.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.217 * [taylor]: Taking taylor expansion of k in k 69.217 * [backup-simplify]: Simplify 0 into 0 69.217 * [backup-simplify]: Simplify 1 into 1 69.217 * [backup-simplify]: Simplify (/ 1 1) into 1 69.217 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.217 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.217 * [taylor]: Taking taylor expansion of 2 in k 69.217 * [backup-simplify]: Simplify 2 into 2 69.217 * [taylor]: Taking taylor expansion of PI in k 69.217 * [backup-simplify]: Simplify PI into PI 69.218 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.218 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.218 * [backup-simplify]: Simplify (- 1) into -1 69.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.219 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.220 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 69.220 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 69.221 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 69.221 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 69.221 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 69.221 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.221 * [taylor]: Taking taylor expansion of 1/2 in k 69.221 * [backup-simplify]: Simplify 1/2 into 1/2 69.221 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.221 * [taylor]: Taking taylor expansion of 1 in k 69.221 * [backup-simplify]: Simplify 1 into 1 69.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.221 * [taylor]: Taking taylor expansion of k in k 69.221 * [backup-simplify]: Simplify 0 into 0 69.221 * [backup-simplify]: Simplify 1 into 1 69.221 * [backup-simplify]: Simplify (/ 1 1) into 1 69.221 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.221 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.221 * [taylor]: Taking taylor expansion of 2 in k 69.221 * [backup-simplify]: Simplify 2 into 2 69.221 * [taylor]: Taking taylor expansion of PI in k 69.221 * [backup-simplify]: Simplify PI into PI 69.221 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.222 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.222 * [backup-simplify]: Simplify (- 1) into -1 69.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.223 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.224 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 69.224 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 69.225 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 69.225 * [backup-simplify]: Simplify 0 into 0 69.225 * [backup-simplify]: Simplify 0 into 0 69.225 * [backup-simplify]: Simplify 0 into 0 69.225 * [backup-simplify]: Simplify 0 into 0 69.225 * [backup-simplify]: Simplify 0 into 0 69.225 * [backup-simplify]: Simplify 0 into 0 69.226 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 69.226 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 69.226 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 69.226 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 69.226 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 69.226 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 69.226 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.227 * [taylor]: Taking taylor expansion of 1/2 in k 69.227 * [backup-simplify]: Simplify 1/2 into 1/2 69.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.227 * [taylor]: Taking taylor expansion of k in k 69.227 * [backup-simplify]: Simplify 0 into 0 69.227 * [backup-simplify]: Simplify 1 into 1 69.227 * [backup-simplify]: Simplify (/ 1 1) into 1 69.227 * [taylor]: Taking taylor expansion of 1 in k 69.227 * [backup-simplify]: Simplify 1 into 1 69.227 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.227 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.227 * [taylor]: Taking taylor expansion of 2 in k 69.227 * [backup-simplify]: Simplify 2 into 2 69.227 * [taylor]: Taking taylor expansion of PI in k 69.227 * [backup-simplify]: Simplify PI into PI 69.227 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.228 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.228 * [backup-simplify]: Simplify (+ 1 0) into 1 69.228 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.229 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.230 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 69.230 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 69.230 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 69.230 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 69.230 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.230 * [taylor]: Taking taylor expansion of 1/2 in k 69.230 * [backup-simplify]: Simplify 1/2 into 1/2 69.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.230 * [taylor]: Taking taylor expansion of k in k 69.230 * [backup-simplify]: Simplify 0 into 0 69.230 * [backup-simplify]: Simplify 1 into 1 69.230 * [backup-simplify]: Simplify (/ 1 1) into 1 69.230 * [taylor]: Taking taylor expansion of 1 in k 69.230 * [backup-simplify]: Simplify 1 into 1 69.230 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.230 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.230 * [taylor]: Taking taylor expansion of 2 in k 69.230 * [backup-simplify]: Simplify 2 into 2 69.230 * [taylor]: Taking taylor expansion of PI in k 69.230 * [backup-simplify]: Simplify PI into PI 69.231 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.231 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.232 * [backup-simplify]: Simplify (+ 1 0) into 1 69.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.233 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.234 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 69.235 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 69.235 * [backup-simplify]: Simplify 0 into 0 69.235 * [backup-simplify]: Simplify 0 into 0 69.235 * [backup-simplify]: Simplify 0 into 0 69.235 * [backup-simplify]: Simplify 0 into 0 69.235 * [backup-simplify]: Simplify 0 into 0 69.235 * [backup-simplify]: Simplify 0 into 0 69.237 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 69.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 69.237 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 69.237 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 69.237 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 69.237 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 69.237 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 69.237 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.237 * [taylor]: Taking taylor expansion of 1/2 in k 69.237 * [backup-simplify]: Simplify 1/2 into 1/2 69.237 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.237 * [taylor]: Taking taylor expansion of 1 in k 69.237 * [backup-simplify]: Simplify 1 into 1 69.237 * [taylor]: Taking taylor expansion of k in k 69.237 * [backup-simplify]: Simplify 0 into 0 69.237 * [backup-simplify]: Simplify 1 into 1 69.237 * [taylor]: Taking taylor expansion of (log n) in k 69.237 * [taylor]: Taking taylor expansion of n in k 69.237 * [backup-simplify]: Simplify n into n 69.237 * [backup-simplify]: Simplify (log n) into (log n) 69.238 * [backup-simplify]: Simplify (- 0) into 0 69.238 * [backup-simplify]: Simplify (+ 1 0) into 1 69.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.239 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 69.239 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 69.239 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 69.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 69.239 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 69.239 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.239 * [taylor]: Taking taylor expansion of 1/2 in n 69.239 * [backup-simplify]: Simplify 1/2 into 1/2 69.239 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.239 * [taylor]: Taking taylor expansion of 1 in n 69.239 * [backup-simplify]: Simplify 1 into 1 69.239 * [taylor]: Taking taylor expansion of k in n 69.239 * [backup-simplify]: Simplify k into k 69.239 * [taylor]: Taking taylor expansion of (log n) in n 69.239 * [taylor]: Taking taylor expansion of n in n 69.239 * [backup-simplify]: Simplify 0 into 0 69.239 * [backup-simplify]: Simplify 1 into 1 69.239 * [backup-simplify]: Simplify (log 1) into 0 69.239 * [backup-simplify]: Simplify (- k) into (- k) 69.240 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.240 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.240 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 69.240 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 69.240 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 69.240 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 69.240 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 69.240 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.240 * [taylor]: Taking taylor expansion of 1/2 in n 69.240 * [backup-simplify]: Simplify 1/2 into 1/2 69.240 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.240 * [taylor]: Taking taylor expansion of 1 in n 69.240 * [backup-simplify]: Simplify 1 into 1 69.241 * [taylor]: Taking taylor expansion of k in n 69.241 * [backup-simplify]: Simplify k into k 69.241 * [taylor]: Taking taylor expansion of (log n) in n 69.241 * [taylor]: Taking taylor expansion of n in n 69.241 * [backup-simplify]: Simplify 0 into 0 69.241 * [backup-simplify]: Simplify 1 into 1 69.241 * [backup-simplify]: Simplify (log 1) into 0 69.241 * [backup-simplify]: Simplify (- k) into (- k) 69.241 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.241 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.242 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 69.242 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 69.242 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 69.242 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 69.242 * [taylor]: Taking taylor expansion of 1/2 in k 69.242 * [backup-simplify]: Simplify 1/2 into 1/2 69.242 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 69.242 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.242 * [taylor]: Taking taylor expansion of 1 in k 69.242 * [backup-simplify]: Simplify 1 into 1 69.242 * [taylor]: Taking taylor expansion of k in k 69.242 * [backup-simplify]: Simplify 0 into 0 69.242 * [backup-simplify]: Simplify 1 into 1 69.242 * [taylor]: Taking taylor expansion of (log n) in k 69.242 * [taylor]: Taking taylor expansion of n in k 69.242 * [backup-simplify]: Simplify n into n 69.242 * [backup-simplify]: Simplify (log n) into (log n) 69.243 * [backup-simplify]: Simplify (- 0) into 0 69.243 * [backup-simplify]: Simplify (+ 1 0) into 1 69.244 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 69.244 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 69.244 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 69.244 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 69.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 69.246 * [backup-simplify]: Simplify (- 0) into 0 69.246 * [backup-simplify]: Simplify (+ 0 0) into 0 69.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 69.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.247 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 69.248 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 69.248 * [taylor]: Taking taylor expansion of 0 in k 69.248 * [backup-simplify]: Simplify 0 into 0 69.248 * [backup-simplify]: Simplify 0 into 0 69.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 69.249 * [backup-simplify]: Simplify (- 1) into -1 69.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.250 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 69.250 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 69.251 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 69.251 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 69.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 69.254 * [backup-simplify]: Simplify (- 0) into 0 69.255 * [backup-simplify]: Simplify (+ 0 0) into 0 69.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 69.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.256 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 69.258 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.258 * [taylor]: Taking taylor expansion of 0 in k 69.258 * [backup-simplify]: Simplify 0 into 0 69.258 * [backup-simplify]: Simplify 0 into 0 69.258 * [backup-simplify]: Simplify 0 into 0 69.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 69.260 * [backup-simplify]: Simplify (- 0) into 0 69.261 * [backup-simplify]: Simplify (+ 0 0) into 0 69.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 69.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 69.263 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 69.263 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 69.264 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 69.264 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 69.264 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 69.264 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 69.264 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 69.264 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 69.264 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.264 * [taylor]: Taking taylor expansion of 1/2 in k 69.264 * [backup-simplify]: Simplify 1/2 into 1/2 69.264 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.264 * [taylor]: Taking taylor expansion of 1 in k 69.264 * [backup-simplify]: Simplify 1 into 1 69.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.264 * [taylor]: Taking taylor expansion of k in k 69.264 * [backup-simplify]: Simplify 0 into 0 69.264 * [backup-simplify]: Simplify 1 into 1 69.265 * [backup-simplify]: Simplify (/ 1 1) into 1 69.265 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 69.265 * [taylor]: Taking taylor expansion of (/ 1 n) in k 69.265 * [taylor]: Taking taylor expansion of n in k 69.265 * [backup-simplify]: Simplify n into n 69.265 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 69.265 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 69.265 * [backup-simplify]: Simplify (- 1) into -1 69.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.266 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.266 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 69.267 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 69.267 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 69.267 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 69.267 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 69.267 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.267 * [taylor]: Taking taylor expansion of 1/2 in n 69.267 * [backup-simplify]: Simplify 1/2 into 1/2 69.267 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.267 * [taylor]: Taking taylor expansion of 1 in n 69.267 * [backup-simplify]: Simplify 1 into 1 69.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.267 * [taylor]: Taking taylor expansion of k in n 69.267 * [backup-simplify]: Simplify k into k 69.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.267 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 69.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 69.267 * [taylor]: Taking taylor expansion of n in n 69.267 * [backup-simplify]: Simplify 0 into 0 69.267 * [backup-simplify]: Simplify 1 into 1 69.267 * [backup-simplify]: Simplify (/ 1 1) into 1 69.268 * [backup-simplify]: Simplify (log 1) into 0 69.268 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.268 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.268 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 69.269 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 69.269 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 69.269 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 69.269 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 69.269 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 69.269 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 69.269 * [taylor]: Taking taylor expansion of 1/2 in n 69.269 * [backup-simplify]: Simplify 1/2 into 1/2 69.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 69.269 * [taylor]: Taking taylor expansion of 1 in n 69.269 * [backup-simplify]: Simplify 1 into 1 69.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.269 * [taylor]: Taking taylor expansion of k in n 69.269 * [backup-simplify]: Simplify k into k 69.269 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.269 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 69.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 69.269 * [taylor]: Taking taylor expansion of n in n 69.269 * [backup-simplify]: Simplify 0 into 0 69.269 * [backup-simplify]: Simplify 1 into 1 69.270 * [backup-simplify]: Simplify (/ 1 1) into 1 69.270 * [backup-simplify]: Simplify (log 1) into 0 69.270 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 69.270 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 69.270 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 69.271 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 69.271 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 69.271 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 69.271 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 69.271 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 69.271 * [taylor]: Taking taylor expansion of -1/2 in k 69.271 * [backup-simplify]: Simplify -1/2 into -1/2 69.271 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 69.271 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.271 * [taylor]: Taking taylor expansion of 1 in k 69.271 * [backup-simplify]: Simplify 1 into 1 69.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.271 * [taylor]: Taking taylor expansion of k in k 69.271 * [backup-simplify]: Simplify 0 into 0 69.271 * [backup-simplify]: Simplify 1 into 1 69.272 * [backup-simplify]: Simplify (/ 1 1) into 1 69.272 * [taylor]: Taking taylor expansion of (log n) in k 69.272 * [taylor]: Taking taylor expansion of n in k 69.272 * [backup-simplify]: Simplify n into n 69.272 * [backup-simplify]: Simplify (log n) into (log n) 69.272 * [backup-simplify]: Simplify (- 1) into -1 69.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.273 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 69.273 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 69.273 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 69.273 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 69.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 69.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 69.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.276 * [backup-simplify]: Simplify (- 0) into 0 69.276 * [backup-simplify]: Simplify (+ 0 0) into 0 69.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 69.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 69.277 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 69.278 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 69.278 * [taylor]: Taking taylor expansion of 0 in k 69.278 * [backup-simplify]: Simplify 0 into 0 69.278 * [backup-simplify]: Simplify 0 into 0 69.278 * [backup-simplify]: Simplify 0 into 0 69.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 69.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.283 * [backup-simplify]: Simplify (- 0) into 0 69.283 * [backup-simplify]: Simplify (+ 0 0) into 0 69.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 69.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 69.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 69.286 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.286 * [taylor]: Taking taylor expansion of 0 in k 69.287 * [backup-simplify]: Simplify 0 into 0 69.287 * [backup-simplify]: Simplify 0 into 0 69.287 * [backup-simplify]: Simplify 0 into 0 69.287 * [backup-simplify]: Simplify 0 into 0 69.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.292 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 69.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.293 * [backup-simplify]: Simplify (- 0) into 0 69.294 * [backup-simplify]: Simplify (+ 0 0) into 0 69.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 69.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 69.296 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 69.298 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 69.298 * [taylor]: Taking taylor expansion of 0 in k 69.298 * [backup-simplify]: Simplify 0 into 0 69.298 * [backup-simplify]: Simplify 0 into 0 69.299 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 69.299 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 69.299 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 69.299 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 69.299 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 69.299 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 69.299 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.299 * [taylor]: Taking taylor expansion of 1/2 in k 69.299 * [backup-simplify]: Simplify 1/2 into 1/2 69.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.299 * [taylor]: Taking taylor expansion of k in k 69.299 * [backup-simplify]: Simplify 0 into 0 69.299 * [backup-simplify]: Simplify 1 into 1 69.299 * [backup-simplify]: Simplify (/ 1 1) into 1 69.299 * [taylor]: Taking taylor expansion of 1 in k 69.300 * [backup-simplify]: Simplify 1 into 1 69.300 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 69.300 * [taylor]: Taking taylor expansion of (/ -1 n) in k 69.300 * [taylor]: Taking taylor expansion of -1 in k 69.300 * [backup-simplify]: Simplify -1 into -1 69.300 * [taylor]: Taking taylor expansion of n in k 69.300 * [backup-simplify]: Simplify n into n 69.300 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 69.300 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 69.300 * [backup-simplify]: Simplify (+ 1 0) into 1 69.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.306 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 69.306 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 69.306 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 69.306 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 69.306 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 69.306 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.306 * [taylor]: Taking taylor expansion of 1/2 in n 69.306 * [backup-simplify]: Simplify 1/2 into 1/2 69.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.306 * [taylor]: Taking taylor expansion of k in n 69.306 * [backup-simplify]: Simplify k into k 69.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.306 * [taylor]: Taking taylor expansion of 1 in n 69.307 * [backup-simplify]: Simplify 1 into 1 69.307 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 69.307 * [taylor]: Taking taylor expansion of (/ -1 n) in n 69.307 * [taylor]: Taking taylor expansion of -1 in n 69.307 * [backup-simplify]: Simplify -1 into -1 69.307 * [taylor]: Taking taylor expansion of n in n 69.307 * [backup-simplify]: Simplify 0 into 0 69.307 * [backup-simplify]: Simplify 1 into 1 69.307 * [backup-simplify]: Simplify (/ -1 1) into -1 69.308 * [backup-simplify]: Simplify (log -1) into (log -1) 69.308 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.308 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 69.309 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 69.310 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 69.310 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 69.310 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 69.310 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 69.310 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 69.310 * [taylor]: Taking taylor expansion of 1/2 in n 69.310 * [backup-simplify]: Simplify 1/2 into 1/2 69.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 69.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.310 * [taylor]: Taking taylor expansion of k in n 69.310 * [backup-simplify]: Simplify k into k 69.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.310 * [taylor]: Taking taylor expansion of 1 in n 69.310 * [backup-simplify]: Simplify 1 into 1 69.310 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 69.310 * [taylor]: Taking taylor expansion of (/ -1 n) in n 69.310 * [taylor]: Taking taylor expansion of -1 in n 69.310 * [backup-simplify]: Simplify -1 into -1 69.310 * [taylor]: Taking taylor expansion of n in n 69.310 * [backup-simplify]: Simplify 0 into 0 69.310 * [backup-simplify]: Simplify 1 into 1 69.311 * [backup-simplify]: Simplify (/ -1 1) into -1 69.311 * [backup-simplify]: Simplify (log -1) into (log -1) 69.311 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 69.311 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 69.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 69.313 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 69.313 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 69.313 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 69.313 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 69.313 * [taylor]: Taking taylor expansion of 1/2 in k 69.313 * [backup-simplify]: Simplify 1/2 into 1/2 69.313 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 69.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.313 * [taylor]: Taking taylor expansion of k in k 69.313 * [backup-simplify]: Simplify 0 into 0 69.313 * [backup-simplify]: Simplify 1 into 1 69.314 * [backup-simplify]: Simplify (/ 1 1) into 1 69.314 * [taylor]: Taking taylor expansion of 1 in k 69.314 * [backup-simplify]: Simplify 1 into 1 69.314 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 69.314 * [taylor]: Taking taylor expansion of (log -1) in k 69.314 * [taylor]: Taking taylor expansion of -1 in k 69.314 * [backup-simplify]: Simplify -1 into -1 69.315 * [backup-simplify]: Simplify (log -1) into (log -1) 69.315 * [taylor]: Taking taylor expansion of (log n) in k 69.315 * [taylor]: Taking taylor expansion of n in k 69.315 * [backup-simplify]: Simplify n into n 69.315 * [backup-simplify]: Simplify (log n) into (log n) 69.315 * [backup-simplify]: Simplify (+ 1 0) into 1 69.315 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 69.316 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 69.316 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 69.317 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 69.317 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 69.318 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 69.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 69.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 69.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.320 * [backup-simplify]: Simplify (+ 0 0) into 0 69.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 69.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 69.322 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 69.324 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.324 * [taylor]: Taking taylor expansion of 0 in k 69.324 * [backup-simplify]: Simplify 0 into 0 69.324 * [backup-simplify]: Simplify 0 into 0 69.324 * [backup-simplify]: Simplify 0 into 0 69.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.328 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 69.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.329 * [backup-simplify]: Simplify (+ 0 0) into 0 69.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 69.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 69.331 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 69.333 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 69.333 * [taylor]: Taking taylor expansion of 0 in k 69.333 * [backup-simplify]: Simplify 0 into 0 69.333 * [backup-simplify]: Simplify 0 into 0 69.333 * [backup-simplify]: Simplify 0 into 0 69.333 * [backup-simplify]: Simplify 0 into 0 69.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.340 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 69.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 69.341 * [backup-simplify]: Simplify (+ 0 0) into 0 69.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 69.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 69.344 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 69.346 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 69.346 * [taylor]: Taking taylor expansion of 0 in k 69.346 * [backup-simplify]: Simplify 0 into 0 69.346 * [backup-simplify]: Simplify 0 into 0 69.347 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 69.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 69.348 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) 69.348 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in (k) around 0 69.348 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.348 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) in k 69.348 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 69.348 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 69.348 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 69.348 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.348 * [taylor]: Taking taylor expansion of 1/2 in k 69.348 * [backup-simplify]: Simplify 1/2 into 1/2 69.348 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.348 * [taylor]: Taking taylor expansion of 1 in k 69.348 * [backup-simplify]: Simplify 1 into 1 69.348 * [taylor]: Taking taylor expansion of k in k 69.348 * [backup-simplify]: Simplify 0 into 0 69.348 * [backup-simplify]: Simplify 1 into 1 69.348 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.348 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.348 * [taylor]: Taking taylor expansion of 2 in k 69.348 * [backup-simplify]: Simplify 2 into 2 69.348 * [taylor]: Taking taylor expansion of PI in k 69.348 * [backup-simplify]: Simplify PI into PI 69.349 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.350 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.350 * [backup-simplify]: Simplify (- 0) into 0 69.350 * [backup-simplify]: Simplify (+ 1 0) into 1 69.351 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.352 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.354 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.355 * [backup-simplify]: Simplify (/ 1 (pow (* 2 PI) 1/2)) into (sqrt (/ 1 (* PI 2))) 69.355 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.355 * [taylor]: Taking taylor expansion of k in k 69.355 * [backup-simplify]: Simplify 0 into 0 69.355 * [backup-simplify]: Simplify 1 into 1 69.355 * [backup-simplify]: Simplify (sqrt 0) into 0 69.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.356 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) (sqrt k)) in k 69.356 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 k)))) in k 69.356 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 69.356 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 69.356 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 69.356 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.356 * [taylor]: Taking taylor expansion of 1/2 in k 69.356 * [backup-simplify]: Simplify 1/2 into 1/2 69.356 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.356 * [taylor]: Taking taylor expansion of 1 in k 69.356 * [backup-simplify]: Simplify 1 into 1 69.356 * [taylor]: Taking taylor expansion of k in k 69.356 * [backup-simplify]: Simplify 0 into 0 69.356 * [backup-simplify]: Simplify 1 into 1 69.356 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.356 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.356 * [taylor]: Taking taylor expansion of 2 in k 69.356 * [backup-simplify]: Simplify 2 into 2 69.356 * [taylor]: Taking taylor expansion of PI in k 69.356 * [backup-simplify]: Simplify PI into PI 69.357 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.358 * [backup-simplify]: Simplify (- 0) into 0 69.358 * [backup-simplify]: Simplify (+ 1 0) into 1 69.358 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.359 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.361 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.362 * [backup-simplify]: Simplify (/ 1 (pow (* 2 PI) 1/2)) into (sqrt (/ 1 (* PI 2))) 69.362 * [taylor]: Taking taylor expansion of (sqrt k) in k 69.362 * [taylor]: Taking taylor expansion of k in k 69.362 * [backup-simplify]: Simplify 0 into 0 69.362 * [backup-simplify]: Simplify 1 into 1 69.362 * [backup-simplify]: Simplify (sqrt 0) into 0 69.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.363 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI 2))) 0) into 0 69.363 * [backup-simplify]: Simplify 0 into 0 69.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.365 * [backup-simplify]: Simplify (- 1) into -1 69.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.366 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 69.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 69.374 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 69.383 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) 69.391 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) 69.396 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) 69.399 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 69.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 69.404 * [backup-simplify]: Simplify (- 0) into 0 69.404 * [backup-simplify]: Simplify (+ 0 0) into 0 69.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 69.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 69.421 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 69.459 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) 69.490 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) 0))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) 69.502 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) 69.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 69.509 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 69.509 * [backup-simplify]: Simplify (- 0) into 0 69.509 * [backup-simplify]: Simplify (+ 0 0) into 0 69.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 69.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 69.521 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 69.597 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI 2))) (/ (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/2))) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) (/ (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/8 (* (* (pow (sqrt 2) 3) (* (pow (sqrt 1/2) 4) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI)))) (* 1/48 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) (* 1/8 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) 69.688 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI)))) +nan.0) (+ (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (* 1/8 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI))))) +nan.0) (* (- (+ (* 1/8 (* (* (pow (sqrt 2) 3) (* (pow (sqrt 1/2) 4) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI)))) (* 1/48 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) (* 1/8 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 3))) (sqrt (/ 1 PI))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) 69.762 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) 69.839 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (+ (* +nan.0 (* (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow (log (* 2 PI)) 2))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) (sqrt (/ 1 PI))))))) (pow k 2)) (* (- (* +nan.0 (* (sqrt (/ 1 PI)) (sqrt 1/2)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 2)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 3)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3)))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) k)))))))))))))))) 69.840 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) 69.840 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 69.840 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 69.840 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 69.840 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 69.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 69.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 69.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.840 * [taylor]: Taking taylor expansion of 1/2 in k 69.840 * [backup-simplify]: Simplify 1/2 into 1/2 69.840 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.840 * [taylor]: Taking taylor expansion of 1 in k 69.840 * [backup-simplify]: Simplify 1 into 1 69.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.840 * [taylor]: Taking taylor expansion of k in k 69.840 * [backup-simplify]: Simplify 0 into 0 69.840 * [backup-simplify]: Simplify 1 into 1 69.840 * [backup-simplify]: Simplify (/ 1 1) into 1 69.840 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.840 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.840 * [taylor]: Taking taylor expansion of 2 in k 69.840 * [backup-simplify]: Simplify 2 into 2 69.840 * [taylor]: Taking taylor expansion of PI in k 69.840 * [backup-simplify]: Simplify PI into PI 69.841 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.841 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.841 * [backup-simplify]: Simplify (- 1) into -1 69.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.842 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.843 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 69.844 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 69.844 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 69.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.844 * [taylor]: Taking taylor expansion of k in k 69.844 * [backup-simplify]: Simplify 0 into 0 69.844 * [backup-simplify]: Simplify 1 into 1 69.845 * [backup-simplify]: Simplify (/ 1 1) into 1 69.845 * [backup-simplify]: Simplify (sqrt 0) into 0 69.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.847 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k 69.847 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 69.847 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 69.847 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 69.847 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 69.847 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 69.847 * [taylor]: Taking taylor expansion of 1/2 in k 69.847 * [backup-simplify]: Simplify 1/2 into 1/2 69.847 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 69.847 * [taylor]: Taking taylor expansion of 1 in k 69.847 * [backup-simplify]: Simplify 1 into 1 69.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.847 * [taylor]: Taking taylor expansion of k in k 69.847 * [backup-simplify]: Simplify 0 into 0 69.847 * [backup-simplify]: Simplify 1 into 1 69.847 * [backup-simplify]: Simplify (/ 1 1) into 1 69.847 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.847 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.847 * [taylor]: Taking taylor expansion of 2 in k 69.847 * [backup-simplify]: Simplify 2 into 2 69.848 * [taylor]: Taking taylor expansion of PI in k 69.848 * [backup-simplify]: Simplify PI into PI 69.848 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.849 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.849 * [backup-simplify]: Simplify (- 1) into -1 69.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.850 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 69.852 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 69.853 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 69.854 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 69.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.854 * [taylor]: Taking taylor expansion of k in k 69.854 * [backup-simplify]: Simplify 0 into 0 69.854 * [backup-simplify]: Simplify 1 into 1 69.854 * [backup-simplify]: Simplify (/ 1 1) into 1 69.855 * [backup-simplify]: Simplify (sqrt 0) into 0 69.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.857 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 69.857 * [backup-simplify]: Simplify 0 into 0 69.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 69.859 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.860 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 69.862 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 69.870 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.870 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 69.877 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.877 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 69.880 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 69.880 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) 69.880 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in (k) around 0 69.880 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 69.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 69.880 * [taylor]: Taking taylor expansion of (/ -1 k) in k 69.880 * [taylor]: Taking taylor expansion of -1 in k 69.880 * [backup-simplify]: Simplify -1 into -1 69.880 * [taylor]: Taking taylor expansion of k in k 69.880 * [backup-simplify]: Simplify 0 into 0 69.880 * [backup-simplify]: Simplify 1 into 1 69.881 * [backup-simplify]: Simplify (/ -1 1) into -1 69.881 * [backup-simplify]: Simplify (sqrt 0) into 0 69.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 69.882 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 69.882 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 69.882 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 69.882 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.882 * [taylor]: Taking taylor expansion of 1/2 in k 69.882 * [backup-simplify]: Simplify 1/2 into 1/2 69.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.882 * [taylor]: Taking taylor expansion of k in k 69.882 * [backup-simplify]: Simplify 0 into 0 69.882 * [backup-simplify]: Simplify 1 into 1 69.882 * [backup-simplify]: Simplify (/ 1 1) into 1 69.882 * [taylor]: Taking taylor expansion of 1 in k 69.882 * [backup-simplify]: Simplify 1 into 1 69.882 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.882 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.882 * [taylor]: Taking taylor expansion of 2 in k 69.882 * [backup-simplify]: Simplify 2 into 2 69.882 * [taylor]: Taking taylor expansion of PI in k 69.882 * [backup-simplify]: Simplify PI into PI 69.882 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.883 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.883 * [backup-simplify]: Simplify (+ 1 0) into 1 69.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.884 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.885 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 69.886 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 69.886 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 69.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 69.886 * [taylor]: Taking taylor expansion of (/ -1 k) in k 69.886 * [taylor]: Taking taylor expansion of -1 in k 69.886 * [backup-simplify]: Simplify -1 into -1 69.886 * [taylor]: Taking taylor expansion of k in k 69.886 * [backup-simplify]: Simplify 0 into 0 69.886 * [backup-simplify]: Simplify 1 into 1 69.886 * [backup-simplify]: Simplify (/ -1 1) into -1 69.886 * [backup-simplify]: Simplify (sqrt 0) into 0 69.887 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 69.887 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 69.887 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 69.887 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 69.887 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 69.887 * [taylor]: Taking taylor expansion of 1/2 in k 69.887 * [backup-simplify]: Simplify 1/2 into 1/2 69.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 69.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.887 * [taylor]: Taking taylor expansion of k in k 69.887 * [backup-simplify]: Simplify 0 into 0 69.887 * [backup-simplify]: Simplify 1 into 1 69.888 * [backup-simplify]: Simplify (/ 1 1) into 1 69.888 * [taylor]: Taking taylor expansion of 1 in k 69.888 * [backup-simplify]: Simplify 1 into 1 69.888 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.888 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.888 * [taylor]: Taking taylor expansion of 2 in k 69.888 * [backup-simplify]: Simplify 2 into 2 69.888 * [taylor]: Taking taylor expansion of PI in k 69.888 * [backup-simplify]: Simplify PI into PI 69.888 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.889 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.889 * [backup-simplify]: Simplify (+ 1 0) into 1 69.890 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.891 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.893 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 69.894 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 69.895 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 69.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 69.899 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 69.902 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 69.903 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 69.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 69.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 69.914 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 69.915 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) 69.919 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) (/ 1 (- k))) (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 69.919 * * * * [progress]: [ 4 / 4 ] generating series at (2) 69.920 * [backup-simplify]: Simplify (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) into (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 69.920 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 69.920 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 69.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.920 * [taylor]: Taking taylor expansion of k in k 69.920 * [backup-simplify]: Simplify 0 into 0 69.920 * [backup-simplify]: Simplify 1 into 1 69.920 * [backup-simplify]: Simplify (/ 1 1) into 1 69.921 * [backup-simplify]: Simplify (sqrt 0) into 0 69.922 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.922 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 69.922 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 69.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 69.922 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 69.922 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.922 * [taylor]: Taking taylor expansion of 1/2 in k 69.922 * [backup-simplify]: Simplify 1/2 into 1/2 69.922 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.922 * [taylor]: Taking taylor expansion of 1 in k 69.922 * [backup-simplify]: Simplify 1 into 1 69.922 * [taylor]: Taking taylor expansion of k in k 69.922 * [backup-simplify]: Simplify 0 into 0 69.922 * [backup-simplify]: Simplify 1 into 1 69.922 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.922 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.922 * [taylor]: Taking taylor expansion of 2 in k 69.923 * [backup-simplify]: Simplify 2 into 2 69.923 * [taylor]: Taking taylor expansion of PI in k 69.923 * [backup-simplify]: Simplify PI into PI 69.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.924 * [backup-simplify]: Simplify (- 0) into 0 69.925 * [backup-simplify]: Simplify (+ 1 0) into 1 69.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.927 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.930 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.930 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 69.930 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 69.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 69.930 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 69.930 * [taylor]: Taking taylor expansion of 1/2 in k 69.930 * [backup-simplify]: Simplify 1/2 into 1/2 69.930 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.930 * [taylor]: Taking taylor expansion of 1 in k 69.930 * [backup-simplify]: Simplify 1 into 1 69.930 * [taylor]: Taking taylor expansion of k in k 69.930 * [backup-simplify]: Simplify 0 into 0 69.930 * [backup-simplify]: Simplify 1 into 1 69.930 * [taylor]: Taking taylor expansion of (log n) in k 69.930 * [taylor]: Taking taylor expansion of n in k 69.930 * [backup-simplify]: Simplify n into n 69.930 * [backup-simplify]: Simplify (log n) into (log n) 69.931 * [backup-simplify]: Simplify (- 0) into 0 69.931 * [backup-simplify]: Simplify (+ 1 0) into 1 69.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 69.932 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 69.932 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 69.932 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 69.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 69.932 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.932 * [taylor]: Taking taylor expansion of k in n 69.932 * [backup-simplify]: Simplify k into k 69.932 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.932 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 69.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 69.932 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 69.932 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 69.932 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 69.932 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 69.932 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.932 * [taylor]: Taking taylor expansion of 1/2 in n 69.932 * [backup-simplify]: Simplify 1/2 into 1/2 69.932 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.932 * [taylor]: Taking taylor expansion of 1 in n 69.932 * [backup-simplify]: Simplify 1 into 1 69.933 * [taylor]: Taking taylor expansion of k in n 69.933 * [backup-simplify]: Simplify k into k 69.933 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 69.933 * [taylor]: Taking taylor expansion of (* 2 PI) in n 69.933 * [taylor]: Taking taylor expansion of 2 in n 69.933 * [backup-simplify]: Simplify 2 into 2 69.933 * [taylor]: Taking taylor expansion of PI in n 69.933 * [backup-simplify]: Simplify PI into PI 69.933 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.934 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.934 * [backup-simplify]: Simplify (- k) into (- k) 69.934 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.934 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.935 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 69.936 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 69.936 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 69.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 69.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 69.937 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.937 * [taylor]: Taking taylor expansion of 1/2 in n 69.937 * [backup-simplify]: Simplify 1/2 into 1/2 69.937 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.937 * [taylor]: Taking taylor expansion of 1 in n 69.937 * [backup-simplify]: Simplify 1 into 1 69.937 * [taylor]: Taking taylor expansion of k in n 69.937 * [backup-simplify]: Simplify k into k 69.937 * [taylor]: Taking taylor expansion of (log n) in n 69.937 * [taylor]: Taking taylor expansion of n in n 69.937 * [backup-simplify]: Simplify 0 into 0 69.937 * [backup-simplify]: Simplify 1 into 1 69.937 * [backup-simplify]: Simplify (log 1) into 0 69.937 * [backup-simplify]: Simplify (- k) into (- k) 69.937 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.938 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.938 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.938 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 69.938 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 69.938 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 69.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 69.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 69.938 * [taylor]: Taking taylor expansion of k in n 69.938 * [backup-simplify]: Simplify k into k 69.938 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 69.939 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 69.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 69.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 69.939 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 69.939 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 69.939 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 69.939 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 69.939 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.939 * [taylor]: Taking taylor expansion of 1/2 in n 69.939 * [backup-simplify]: Simplify 1/2 into 1/2 69.939 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.939 * [taylor]: Taking taylor expansion of 1 in n 69.939 * [backup-simplify]: Simplify 1 into 1 69.939 * [taylor]: Taking taylor expansion of k in n 69.939 * [backup-simplify]: Simplify k into k 69.939 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 69.939 * [taylor]: Taking taylor expansion of (* 2 PI) in n 69.939 * [taylor]: Taking taylor expansion of 2 in n 69.939 * [backup-simplify]: Simplify 2 into 2 69.939 * [taylor]: Taking taylor expansion of PI in n 69.939 * [backup-simplify]: Simplify PI into PI 69.940 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.941 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.941 * [backup-simplify]: Simplify (- k) into (- k) 69.941 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.941 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.942 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 69.943 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 69.943 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 69.943 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 69.943 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 69.943 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 69.943 * [taylor]: Taking taylor expansion of 1/2 in n 69.943 * [backup-simplify]: Simplify 1/2 into 1/2 69.943 * [taylor]: Taking taylor expansion of (- 1 k) in n 69.943 * [taylor]: Taking taylor expansion of 1 in n 69.943 * [backup-simplify]: Simplify 1 into 1 69.943 * [taylor]: Taking taylor expansion of k in n 69.943 * [backup-simplify]: Simplify k into k 69.943 * [taylor]: Taking taylor expansion of (log n) in n 69.943 * [taylor]: Taking taylor expansion of n in n 69.943 * [backup-simplify]: Simplify 0 into 0 69.943 * [backup-simplify]: Simplify 1 into 1 69.944 * [backup-simplify]: Simplify (log 1) into 0 69.944 * [backup-simplify]: Simplify (- k) into (- k) 69.944 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 69.944 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 69.944 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.945 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 69.945 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 69.946 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 69.947 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) 69.947 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 69.947 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 69.947 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 69.947 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 69.947 * [taylor]: Taking taylor expansion of 1/2 in k 69.947 * [backup-simplify]: Simplify 1/2 into 1/2 69.947 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 69.947 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.947 * [taylor]: Taking taylor expansion of 1 in k 69.947 * [backup-simplify]: Simplify 1 into 1 69.947 * [taylor]: Taking taylor expansion of k in k 69.947 * [backup-simplify]: Simplify 0 into 0 69.947 * [backup-simplify]: Simplify 1 into 1 69.947 * [taylor]: Taking taylor expansion of (log n) in k 69.947 * [taylor]: Taking taylor expansion of n in k 69.947 * [backup-simplify]: Simplify n into n 69.948 * [backup-simplify]: Simplify (log n) into (log n) 69.948 * [backup-simplify]: Simplify (- 0) into 0 69.948 * [backup-simplify]: Simplify (+ 1 0) into 1 69.948 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 69.948 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 69.948 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 69.948 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 69.949 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 69.949 * [taylor]: Taking taylor expansion of 1/2 in k 69.949 * [backup-simplify]: Simplify 1/2 into 1/2 69.949 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 69.949 * [taylor]: Taking taylor expansion of (- 1 k) in k 69.949 * [taylor]: Taking taylor expansion of 1 in k 69.949 * [backup-simplify]: Simplify 1 into 1 69.949 * [taylor]: Taking taylor expansion of k in k 69.949 * [backup-simplify]: Simplify 0 into 0 69.949 * [backup-simplify]: Simplify 1 into 1 69.949 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 69.949 * [taylor]: Taking taylor expansion of (* 2 PI) in k 69.949 * [taylor]: Taking taylor expansion of 2 in k 69.949 * [backup-simplify]: Simplify 2 into 2 69.949 * [taylor]: Taking taylor expansion of PI in k 69.949 * [backup-simplify]: Simplify PI into PI 69.949 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 69.950 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 69.950 * [backup-simplify]: Simplify (- 0) into 0 69.951 * [backup-simplify]: Simplify (+ 1 0) into 1 69.953 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 69.954 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 69.957 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 69.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 69.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 69.957 * [taylor]: Taking taylor expansion of k in k 69.957 * [backup-simplify]: Simplify 0 into 0 69.957 * [backup-simplify]: Simplify 1 into 1 69.957 * [backup-simplify]: Simplify (/ 1 1) into 1 69.958 * [backup-simplify]: Simplify (sqrt 0) into 0 69.959 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 69.960 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 69.960 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 69.960 * [backup-simplify]: Simplify 0 into 0 69.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 69.961 * [backup-simplify]: Simplify (- 0) into 0 69.962 * [backup-simplify]: Simplify (+ 0 0) into 0 69.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 69.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.962 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 69.963 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 69.963 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.964 * [backup-simplify]: Simplify (- 0) into 0 69.964 * [backup-simplify]: Simplify (+ 0 0) into 0 69.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 69.965 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 69.966 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 69.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 69.968 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))) into 0 69.968 * [taylor]: Taking taylor expansion of 0 in k 69.968 * [backup-simplify]: Simplify 0 into 0 69.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 69.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 69.969 * [backup-simplify]: Simplify (- 1) into -1 69.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.971 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 69.974 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 69.985 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 69.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 69.986 * [backup-simplify]: Simplify (- 1) into -1 69.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 69.986 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 69.986 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 69.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 69.990 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 69.993 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 69.994 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 69.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 69.997 * [backup-simplify]: Simplify (- 0) into 0 69.997 * [backup-simplify]: Simplify (+ 0 0) into 0 69.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 69.999 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 69.999 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 70.001 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 70.005 * [backup-simplify]: Simplify (- 0) into 0 70.005 * [backup-simplify]: Simplify (+ 0 0) into 0 70.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 70.006 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 70.008 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.008 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 70.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 70.010 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0 70.010 * [taylor]: Taking taylor expansion of 0 in k 70.010 * [backup-simplify]: Simplify 0 into 0 70.010 * [backup-simplify]: Simplify 0 into 0 70.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 70.012 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 70.015 * [backup-simplify]: Simplify (- 0) into 0 70.015 * [backup-simplify]: Simplify (+ 0 0) into 0 70.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 70.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 70.024 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 70.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 70.025 * [backup-simplify]: Simplify (- 0) into 0 70.025 * [backup-simplify]: Simplify (+ 0 0) into 0 70.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 70.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 70.027 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 70.033 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 70.039 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 70.043 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 70.048 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 70.049 * [backup-simplify]: Simplify (- 0) into 0 70.049 * [backup-simplify]: Simplify (+ 0 0) into 0 70.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 70.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 70.051 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 70.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 70.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.060 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 70.061 * [backup-simplify]: Simplify (- 0) into 0 70.061 * [backup-simplify]: Simplify (+ 0 0) into 0 70.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 70.063 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 70.066 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 70.068 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 70.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 70.071 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))) into 0 70.071 * [taylor]: Taking taylor expansion of 0 in k 70.071 * [backup-simplify]: Simplify 0 into 0 70.071 * [backup-simplify]: Simplify 0 into 0 70.071 * [backup-simplify]: Simplify 0 into 0 70.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.083 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 70.084 * [backup-simplify]: Simplify (- 0) into 0 70.084 * [backup-simplify]: Simplify (+ 0 0) into 0 70.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 70.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0 70.106 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 70.108 * [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 70.108 * [backup-simplify]: Simplify (- 0) into 0 70.108 * [backup-simplify]: Simplify (+ 0 0) into 0 70.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 70.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 70.111 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 70.120 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 70.132 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 70.142 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 70.158 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 70.159 * [backup-simplify]: Simplify (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 70.159 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (n k) around 0 70.159 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 70.159 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 70.159 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 70.159 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 70.159 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 70.159 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.159 * [taylor]: Taking taylor expansion of 1/2 in k 70.159 * [backup-simplify]: Simplify 1/2 into 1/2 70.159 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.159 * [taylor]: Taking taylor expansion of 1 in k 70.159 * [backup-simplify]: Simplify 1 into 1 70.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.159 * [taylor]: Taking taylor expansion of k in k 70.159 * [backup-simplify]: Simplify 0 into 0 70.159 * [backup-simplify]: Simplify 1 into 1 70.159 * [backup-simplify]: Simplify (/ 1 1) into 1 70.159 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 70.159 * [taylor]: Taking taylor expansion of (/ 1 n) in k 70.159 * [taylor]: Taking taylor expansion of n in k 70.159 * [backup-simplify]: Simplify n into n 70.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 70.160 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 70.160 * [backup-simplify]: Simplify (- 1) into -1 70.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.161 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.161 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 70.161 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 70.161 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 70.161 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 70.161 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 70.161 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 70.161 * [taylor]: Taking taylor expansion of 1/2 in k 70.161 * [backup-simplify]: Simplify 1/2 into 1/2 70.161 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.161 * [taylor]: Taking taylor expansion of 1 in k 70.161 * [backup-simplify]: Simplify 1 into 1 70.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.161 * [taylor]: Taking taylor expansion of k in k 70.161 * [backup-simplify]: Simplify 0 into 0 70.161 * [backup-simplify]: Simplify 1 into 1 70.161 * [backup-simplify]: Simplify (/ 1 1) into 1 70.161 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.161 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.161 * [taylor]: Taking taylor expansion of 2 in k 70.161 * [backup-simplify]: Simplify 2 into 2 70.161 * [taylor]: Taking taylor expansion of PI in k 70.161 * [backup-simplify]: Simplify PI into PI 70.162 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.162 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.162 * [backup-simplify]: Simplify (- 1) into -1 70.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.163 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 70.164 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 70.165 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 70.165 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.165 * [taylor]: Taking taylor expansion of k in k 70.165 * [backup-simplify]: Simplify 0 into 0 70.165 * [backup-simplify]: Simplify 1 into 1 70.165 * [backup-simplify]: Simplify (sqrt 0) into 0 70.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.166 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 70.166 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 70.166 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 70.166 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 70.166 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 70.166 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.166 * [taylor]: Taking taylor expansion of 1/2 in n 70.166 * [backup-simplify]: Simplify 1/2 into 1/2 70.166 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.166 * [taylor]: Taking taylor expansion of 1 in n 70.166 * [backup-simplify]: Simplify 1 into 1 70.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.166 * [taylor]: Taking taylor expansion of k in n 70.166 * [backup-simplify]: Simplify k into k 70.166 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.166 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 70.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 70.166 * [taylor]: Taking taylor expansion of n in n 70.166 * [backup-simplify]: Simplify 0 into 0 70.166 * [backup-simplify]: Simplify 1 into 1 70.166 * [backup-simplify]: Simplify (/ 1 1) into 1 70.167 * [backup-simplify]: Simplify (log 1) into 0 70.167 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.167 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.167 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 70.167 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 70.167 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 70.167 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 70.167 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 70.167 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 70.167 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.167 * [taylor]: Taking taylor expansion of 1/2 in n 70.167 * [backup-simplify]: Simplify 1/2 into 1/2 70.167 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.167 * [taylor]: Taking taylor expansion of 1 in n 70.167 * [backup-simplify]: Simplify 1 into 1 70.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.167 * [taylor]: Taking taylor expansion of k in n 70.167 * [backup-simplify]: Simplify k into k 70.167 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.168 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 70.168 * [taylor]: Taking taylor expansion of (* 2 PI) in n 70.168 * [taylor]: Taking taylor expansion of 2 in n 70.168 * [backup-simplify]: Simplify 2 into 2 70.168 * [taylor]: Taking taylor expansion of PI in n 70.168 * [backup-simplify]: Simplify PI into PI 70.168 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.168 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.169 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.169 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.169 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.169 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 70.170 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 70.170 * [taylor]: Taking taylor expansion of (sqrt k) in n 70.170 * [taylor]: Taking taylor expansion of k in n 70.170 * [backup-simplify]: Simplify k into k 70.170 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 70.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 70.170 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 70.170 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 70.170 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 70.170 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 70.170 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 70.170 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.170 * [taylor]: Taking taylor expansion of 1/2 in n 70.170 * [backup-simplify]: Simplify 1/2 into 1/2 70.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.170 * [taylor]: Taking taylor expansion of 1 in n 70.170 * [backup-simplify]: Simplify 1 into 1 70.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.170 * [taylor]: Taking taylor expansion of k in n 70.171 * [backup-simplify]: Simplify k into k 70.171 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.171 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 70.171 * [taylor]: Taking taylor expansion of (/ 1 n) in n 70.171 * [taylor]: Taking taylor expansion of n in n 70.171 * [backup-simplify]: Simplify 0 into 0 70.171 * [backup-simplify]: Simplify 1 into 1 70.171 * [backup-simplify]: Simplify (/ 1 1) into 1 70.171 * [backup-simplify]: Simplify (log 1) into 0 70.171 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.171 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.171 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.172 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 70.172 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 70.172 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 70.172 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 70.172 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 70.172 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 70.172 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 70.172 * [taylor]: Taking taylor expansion of 1/2 in n 70.172 * [backup-simplify]: Simplify 1/2 into 1/2 70.172 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 70.172 * [taylor]: Taking taylor expansion of 1 in n 70.172 * [backup-simplify]: Simplify 1 into 1 70.172 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.172 * [taylor]: Taking taylor expansion of k in n 70.172 * [backup-simplify]: Simplify k into k 70.172 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.172 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 70.172 * [taylor]: Taking taylor expansion of (* 2 PI) in n 70.172 * [taylor]: Taking taylor expansion of 2 in n 70.172 * [backup-simplify]: Simplify 2 into 2 70.172 * [taylor]: Taking taylor expansion of PI in n 70.172 * [backup-simplify]: Simplify PI into PI 70.172 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.173 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.173 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 70.173 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 70.173 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 70.174 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 70.175 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 70.175 * [taylor]: Taking taylor expansion of (sqrt k) in n 70.175 * [taylor]: Taking taylor expansion of k in n 70.175 * [backup-simplify]: Simplify k into k 70.175 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 70.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 70.176 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 70.176 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) into (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) 70.176 * [taylor]: Taking taylor expansion of (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) in k 70.177 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 70.177 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 70.177 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 70.177 * [taylor]: Taking taylor expansion of -1/2 in k 70.177 * [backup-simplify]: Simplify -1/2 into -1/2 70.177 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 70.177 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.177 * [taylor]: Taking taylor expansion of 1 in k 70.177 * [backup-simplify]: Simplify 1 into 1 70.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.177 * [taylor]: Taking taylor expansion of k in k 70.177 * [backup-simplify]: Simplify 0 into 0 70.177 * [backup-simplify]: Simplify 1 into 1 70.177 * [backup-simplify]: Simplify (/ 1 1) into 1 70.177 * [taylor]: Taking taylor expansion of (log n) in k 70.177 * [taylor]: Taking taylor expansion of n in k 70.177 * [backup-simplify]: Simplify n into n 70.177 * [backup-simplify]: Simplify (log n) into (log n) 70.177 * [backup-simplify]: Simplify (- 1) into -1 70.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.178 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 70.178 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 70.178 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 70.178 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 70.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 70.178 * [taylor]: Taking taylor expansion of 1/2 in k 70.178 * [backup-simplify]: Simplify 1/2 into 1/2 70.178 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 70.178 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 70.178 * [taylor]: Taking taylor expansion of 1 in k 70.178 * [backup-simplify]: Simplify 1 into 1 70.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.178 * [taylor]: Taking taylor expansion of k in k 70.178 * [backup-simplify]: Simplify 0 into 0 70.178 * [backup-simplify]: Simplify 1 into 1 70.178 * [backup-simplify]: Simplify (/ 1 1) into 1 70.178 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.178 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.178 * [taylor]: Taking taylor expansion of 2 in k 70.178 * [backup-simplify]: Simplify 2 into 2 70.178 * [taylor]: Taking taylor expansion of PI in k 70.178 * [backup-simplify]: Simplify PI into PI 70.179 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.179 * [backup-simplify]: Simplify (- 1) into -1 70.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 70.181 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 70.182 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 70.183 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 70.183 * [taylor]: Taking taylor expansion of (sqrt k) in k 70.183 * [taylor]: Taking taylor expansion of k in k 70.183 * [backup-simplify]: Simplify 0 into 0 70.183 * [backup-simplify]: Simplify 1 into 1 70.183 * [backup-simplify]: Simplify (sqrt 0) into 0 70.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 70.184 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 70.185 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 70.185 * [backup-simplify]: Simplify 0 into 0 70.186 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.187 * [backup-simplify]: Simplify (- 0) into 0 70.187 * [backup-simplify]: Simplify (+ 0 0) into 0 70.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 70.188 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 70.189 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 70.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 70.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.195 * [backup-simplify]: Simplify (- 0) into 0 70.196 * [backup-simplify]: Simplify (+ 0 0) into 0 70.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 70.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 70.196 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 70.197 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 70.198 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 70.198 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (* 0 (sqrt k))) into 0 70.198 * [taylor]: Taking taylor expansion of 0 in k 70.198 * [backup-simplify]: Simplify 0 into 0 70.198 * [backup-simplify]: Simplify 0 into 0 70.199 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 70.200 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.201 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 70.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 70.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.205 * [backup-simplify]: Simplify (- 0) into 0 70.205 * [backup-simplify]: Simplify (+ 0 0) into 0 70.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 70.206 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 70.207 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 70.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.210 * [backup-simplify]: Simplify (- 0) into 0 70.210 * [backup-simplify]: Simplify (+ 0 0) into 0 70.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 70.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 70.211 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 70.212 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.213 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 70.214 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 70.214 * [taylor]: Taking taylor expansion of 0 in k 70.214 * [backup-simplify]: Simplify 0 into 0 70.214 * [backup-simplify]: Simplify 0 into 0 70.214 * [backup-simplify]: Simplify 0 into 0 70.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.217 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 70.218 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.219 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 70.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 70.223 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 70.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.223 * [backup-simplify]: Simplify (- 0) into 0 70.224 * [backup-simplify]: Simplify (+ 0 0) into 0 70.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 70.226 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 70.228 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 70.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.234 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 70.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.235 * [backup-simplify]: Simplify (- 0) into 0 70.235 * [backup-simplify]: Simplify (+ 0 0) into 0 70.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 70.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 70.238 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 70.240 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 70.242 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 70.244 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 70.244 * [taylor]: Taking taylor expansion of 0 in k 70.244 * [backup-simplify]: Simplify 0 into 0 70.244 * [backup-simplify]: Simplify 0 into 0 70.244 * [backup-simplify]: Simplify 0 into 0 70.244 * [backup-simplify]: Simplify 0 into 0 70.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.250 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 70.252 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.254 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 70.258 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 70.259 * [backup-simplify]: Simplify (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 70.259 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (n k) around 0 70.259 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 70.259 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 70.259 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 70.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 70.259 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 70.259 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.259 * [taylor]: Taking taylor expansion of 1/2 in k 70.259 * [backup-simplify]: Simplify 1/2 into 1/2 70.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.259 * [taylor]: Taking taylor expansion of k in k 70.259 * [backup-simplify]: Simplify 0 into 0 70.259 * [backup-simplify]: Simplify 1 into 1 70.260 * [backup-simplify]: Simplify (/ 1 1) into 1 70.260 * [taylor]: Taking taylor expansion of 1 in k 70.260 * [backup-simplify]: Simplify 1 into 1 70.260 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 70.260 * [taylor]: Taking taylor expansion of (/ -1 n) in k 70.260 * [taylor]: Taking taylor expansion of -1 in k 70.260 * [backup-simplify]: Simplify -1 into -1 70.260 * [taylor]: Taking taylor expansion of n in k 70.260 * [backup-simplify]: Simplify n into n 70.260 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 70.260 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 70.261 * [backup-simplify]: Simplify (+ 1 0) into 1 70.261 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.261 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 70.261 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 70.261 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 70.261 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 70.261 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 70.261 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 70.262 * [taylor]: Taking taylor expansion of 1/2 in k 70.262 * [backup-simplify]: Simplify 1/2 into 1/2 70.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.262 * [taylor]: Taking taylor expansion of k in k 70.262 * [backup-simplify]: Simplify 0 into 0 70.262 * [backup-simplify]: Simplify 1 into 1 70.262 * [backup-simplify]: Simplify (/ 1 1) into 1 70.262 * [taylor]: Taking taylor expansion of 1 in k 70.262 * [backup-simplify]: Simplify 1 into 1 70.262 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.262 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.262 * [taylor]: Taking taylor expansion of 2 in k 70.262 * [backup-simplify]: Simplify 2 into 2 70.262 * [taylor]: Taking taylor expansion of PI in k 70.262 * [backup-simplify]: Simplify PI into PI 70.263 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.264 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.264 * [backup-simplify]: Simplify (+ 1 0) into 1 70.265 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 70.266 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 70.267 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 70.267 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.268 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.268 * [taylor]: Taking taylor expansion of -1 in k 70.268 * [backup-simplify]: Simplify -1 into -1 70.268 * [taylor]: Taking taylor expansion of k in k 70.268 * [backup-simplify]: Simplify 0 into 0 70.268 * [backup-simplify]: Simplify 1 into 1 70.268 * [backup-simplify]: Simplify (/ -1 1) into -1 70.268 * [backup-simplify]: Simplify (sqrt 0) into 0 70.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.270 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 70.271 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 70.271 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 70.271 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 70.271 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 70.271 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 70.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 70.271 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.271 * [taylor]: Taking taylor expansion of 1/2 in n 70.271 * [backup-simplify]: Simplify 1/2 into 1/2 70.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.271 * [taylor]: Taking taylor expansion of k in n 70.271 * [backup-simplify]: Simplify k into k 70.271 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.271 * [taylor]: Taking taylor expansion of 1 in n 70.271 * [backup-simplify]: Simplify 1 into 1 70.271 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 70.271 * [taylor]: Taking taylor expansion of (/ -1 n) in n 70.271 * [taylor]: Taking taylor expansion of -1 in n 70.271 * [backup-simplify]: Simplify -1 into -1 70.271 * [taylor]: Taking taylor expansion of n in n 70.271 * [backup-simplify]: Simplify 0 into 0 70.271 * [backup-simplify]: Simplify 1 into 1 70.271 * [backup-simplify]: Simplify (/ -1 1) into -1 70.272 * [backup-simplify]: Simplify (log -1) into (log -1) 70.272 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.272 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 70.273 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 70.273 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 70.273 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 70.273 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 70.273 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 70.273 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.273 * [taylor]: Taking taylor expansion of 1/2 in n 70.273 * [backup-simplify]: Simplify 1/2 into 1/2 70.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.273 * [taylor]: Taking taylor expansion of k in n 70.273 * [backup-simplify]: Simplify k into k 70.273 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.273 * [taylor]: Taking taylor expansion of 1 in n 70.273 * [backup-simplify]: Simplify 1 into 1 70.273 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 70.273 * [taylor]: Taking taylor expansion of (* 2 PI) in n 70.273 * [taylor]: Taking taylor expansion of 2 in n 70.273 * [backup-simplify]: Simplify 2 into 2 70.273 * [taylor]: Taking taylor expansion of PI in n 70.273 * [backup-simplify]: Simplify PI into PI 70.274 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.274 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.274 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.274 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.275 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 70.275 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 70.275 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.276 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.276 * [taylor]: Taking taylor expansion of -1 in n 70.276 * [backup-simplify]: Simplify -1 into -1 70.276 * [taylor]: Taking taylor expansion of k in n 70.276 * [backup-simplify]: Simplify k into k 70.276 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.276 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.276 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.277 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 70.278 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 70.278 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 70.278 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 70.278 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 70.278 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 70.278 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 70.278 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.278 * [taylor]: Taking taylor expansion of 1/2 in n 70.278 * [backup-simplify]: Simplify 1/2 into 1/2 70.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.278 * [taylor]: Taking taylor expansion of k in n 70.278 * [backup-simplify]: Simplify k into k 70.278 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.278 * [taylor]: Taking taylor expansion of 1 in n 70.278 * [backup-simplify]: Simplify 1 into 1 70.278 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 70.278 * [taylor]: Taking taylor expansion of (/ -1 n) in n 70.278 * [taylor]: Taking taylor expansion of -1 in n 70.278 * [backup-simplify]: Simplify -1 into -1 70.278 * [taylor]: Taking taylor expansion of n in n 70.278 * [backup-simplify]: Simplify 0 into 0 70.278 * [backup-simplify]: Simplify 1 into 1 70.278 * [backup-simplify]: Simplify (/ -1 1) into -1 70.279 * [backup-simplify]: Simplify (log -1) into (log -1) 70.279 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.279 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.279 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 70.280 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 70.280 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 70.280 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 70.280 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 70.280 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 70.280 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 70.280 * [taylor]: Taking taylor expansion of 1/2 in n 70.280 * [backup-simplify]: Simplify 1/2 into 1/2 70.280 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 70.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 70.280 * [taylor]: Taking taylor expansion of k in n 70.280 * [backup-simplify]: Simplify k into k 70.280 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 70.280 * [taylor]: Taking taylor expansion of 1 in n 70.280 * [backup-simplify]: Simplify 1 into 1 70.280 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 70.280 * [taylor]: Taking taylor expansion of (* 2 PI) in n 70.280 * [taylor]: Taking taylor expansion of 2 in n 70.280 * [backup-simplify]: Simplify 2 into 2 70.280 * [taylor]: Taking taylor expansion of PI in n 70.280 * [backup-simplify]: Simplify PI into PI 70.281 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.281 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.281 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 70.281 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 70.282 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 70.283 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 70.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 70.283 * [taylor]: Taking taylor expansion of (/ -1 k) in n 70.283 * [taylor]: Taking taylor expansion of -1 in n 70.283 * [backup-simplify]: Simplify -1 into -1 70.283 * [taylor]: Taking taylor expansion of k in n 70.283 * [backup-simplify]: Simplify k into k 70.283 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 70.283 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 70.283 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 70.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 70.284 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 70.285 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 70.285 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) in k 70.285 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 70.285 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 70.285 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 70.285 * [taylor]: Taking taylor expansion of 1/2 in k 70.285 * [backup-simplify]: Simplify 1/2 into 1/2 70.285 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 70.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.285 * [taylor]: Taking taylor expansion of k in k 70.285 * [backup-simplify]: Simplify 0 into 0 70.285 * [backup-simplify]: Simplify 1 into 1 70.285 * [backup-simplify]: Simplify (/ 1 1) into 1 70.285 * [taylor]: Taking taylor expansion of 1 in k 70.285 * [backup-simplify]: Simplify 1 into 1 70.285 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 70.285 * [taylor]: Taking taylor expansion of (* 2 PI) in k 70.285 * [taylor]: Taking taylor expansion of 2 in k 70.285 * [backup-simplify]: Simplify 2 into 2 70.285 * [taylor]: Taking taylor expansion of PI in k 70.285 * [backup-simplify]: Simplify PI into PI 70.286 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 70.286 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 70.286 * [backup-simplify]: Simplify (+ 1 0) into 1 70.287 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 70.289 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 70.289 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 70.289 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 70.289 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 70.289 * [taylor]: Taking taylor expansion of 1/2 in k 70.289 * [backup-simplify]: Simplify 1/2 into 1/2 70.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 70.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 70.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 70.289 * [taylor]: Taking taylor expansion of k in k 70.289 * [backup-simplify]: Simplify 0 into 0 70.289 * [backup-simplify]: Simplify 1 into 1 70.290 * [backup-simplify]: Simplify (/ 1 1) into 1 70.290 * [taylor]: Taking taylor expansion of 1 in k 70.290 * [backup-simplify]: Simplify 1 into 1 70.290 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 70.290 * [taylor]: Taking taylor expansion of (log -1) in k 70.290 * [taylor]: Taking taylor expansion of -1 in k 70.290 * [backup-simplify]: Simplify -1 into -1 70.290 * [backup-simplify]: Simplify (log -1) into (log -1) 70.290 * [taylor]: Taking taylor expansion of (log n) in k 70.290 * [taylor]: Taking taylor expansion of n in k 70.290 * [backup-simplify]: Simplify n into n 70.290 * [backup-simplify]: Simplify (log n) into (log n) 70.290 * [backup-simplify]: Simplify (+ 1 0) into 1 70.290 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 70.291 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 70.291 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 70.291 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 70.292 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 70.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 70.292 * [taylor]: Taking taylor expansion of (/ -1 k) in k 70.292 * [taylor]: Taking taylor expansion of -1 in k 70.292 * [backup-simplify]: Simplify -1 into -1 70.292 * [taylor]: Taking taylor expansion of k in k 70.292 * [backup-simplify]: Simplify 0 into 0 70.292 * [backup-simplify]: Simplify 1 into 1 70.292 * [backup-simplify]: Simplify (/ -1 1) into -1 70.292 * [backup-simplify]: Simplify (sqrt 0) into 0 70.293 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 70.294 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 70.295 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 70.301 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 70.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 70.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 70.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.303 * [backup-simplify]: Simplify (+ 0 0) into 0 70.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 70.304 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 70.306 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 70.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 70.309 * [backup-simplify]: Simplify (+ 0 0) into 0 70.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 70.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 70.311 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 70.312 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 70.313 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 70.315 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 70.315 * [taylor]: Taking taylor expansion of 0 in k 70.315 * [backup-simplify]: Simplify 0 into 0 70.315 * [backup-simplify]: Simplify 0 into 0 70.317 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 70.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 70.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 70.323 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 70.325 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 70.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 70.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 70.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.330 * [backup-simplify]: Simplify (+ 0 0) into 0 70.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 70.332 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 70.334 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 70.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.339 * [backup-simplify]: Simplify (+ 0 0) into 0 70.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 70.340 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 70.341 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 70.343 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 70.345 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 70.345 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 70.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 70.348 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 70.348 * [taylor]: Taking taylor expansion of 0 in k 70.348 * [backup-simplify]: Simplify 0 into 0 70.348 * [backup-simplify]: Simplify 0 into 0 70.348 * [backup-simplify]: Simplify 0 into 0 70.350 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 70.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 70.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 70.360 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 70.362 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 70.367 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 70.367 * * * [progress]: simplifying candidates 70.367 * * * * [progress]: [ 1 / 471 ] simplifiying candidate # 70.368 * * * * [progress]: [ 2 / 471 ] simplifiying candidate # 70.368 * * * * [progress]: [ 3 / 471 ] simplifiying candidate # 70.368 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 70.368 * * [simplify]: iters left: 6 (10 enodes) 70.374 * * [simplify]: iters left: 5 (42 enodes) 70.388 * * [simplify]: iters left: 4 (71 enodes) 70.415 * * [simplify]: iters left: 3 (127 enodes) 70.458 * * [simplify]: iters left: 2 (262 enodes) 70.542 * * [simplify]: Extracting #0: cost 1 inf + 0 70.543 * * [simplify]: Extracting #1: cost 21 inf + 0 70.543 * * [simplify]: Extracting #2: cost 69 inf + 2 70.544 * * [simplify]: Extracting #3: cost 83 inf + 732 70.548 * * [simplify]: Extracting #4: cost 23 inf + 12023 70.558 * * [simplify]: Extracting #5: cost 0 inf + 17633 70.567 * * [simplify]: Extracting #6: cost 0 inf + 17570 70.576 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 70.576 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))))) 70.576 * * * * [progress]: [ 4 / 471 ] simplifiying candidate # 70.576 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 70.577 * * [simplify]: iters left: 6 (9 enodes) 70.582 * * [simplify]: iters left: 5 (42 enodes) 70.596 * * [simplify]: iters left: 4 (74 enodes) 70.627 * * [simplify]: iters left: 3 (130 enodes) 70.680 * * [simplify]: iters left: 2 (267 enodes) 70.780 * * [simplify]: Extracting #0: cost 1 inf + 0 70.780 * * [simplify]: Extracting #1: cost 21 inf + 0 70.780 * * [simplify]: Extracting #2: cost 71 inf + 2 70.781 * * [simplify]: Extracting #3: cost 90 inf + 354 70.785 * * [simplify]: Extracting #4: cost 35 inf + 8801 70.792 * * [simplify]: Extracting #5: cost 3 inf + 15739 70.801 * * [simplify]: Extracting #6: cost 0 inf + 16238 70.810 * * [simplify]: Extracting #7: cost 0 inf + 16237 70.817 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 70.817 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))))) 70.818 * * * * [progress]: [ 5 / 471 ] simplifiying candidate # 70.818 * * * * [progress]: [ 6 / 471 ] simplifiying candidate # 70.818 * [simplify]: Simplifying (* 2 PI) 70.818 * * [simplify]: iters left: 2 (3 enodes) 70.819 * * [simplify]: iters left: 1 (10 enodes) 70.821 * * [simplify]: Extracting #0: cost 1 inf + 0 70.821 * * [simplify]: Extracting #1: cost 4 inf + 0 70.821 * * [simplify]: Extracting #2: cost 2 inf + 2 70.821 * * [simplify]: Extracting #3: cost 0 inf + 86 70.821 * [simplify]: Simplified to (* 2 PI) 70.821 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))))) 70.821 * * * * [progress]: [ 7 / 471 ] simplifiying candidate # 70.821 * [simplify]: Simplifying (* 2 PI) 70.821 * * [simplify]: iters left: 2 (3 enodes) 70.822 * * [simplify]: iters left: 1 (10 enodes) 70.824 * * [simplify]: Extracting #0: cost 1 inf + 0 70.824 * * [simplify]: Extracting #1: cost 4 inf + 0 70.824 * * [simplify]: Extracting #2: cost 2 inf + 2 70.824 * * [simplify]: Extracting #3: cost 0 inf + 86 70.824 * [simplify]: Simplified to (* 2 PI) 70.824 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))))) 70.824 * * * * [progress]: [ 8 / 471 ] simplifiying candidate # 70.824 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 70.824 * * [simplify]: iters left: 3 (6 enodes) 70.826 * * [simplify]: iters left: 2 (22 enodes) 70.830 * * [simplify]: iters left: 1 (34 enodes) 70.835 * * [simplify]: Extracting #0: cost 1 inf + 0 70.835 * * [simplify]: Extracting #1: cost 10 inf + 0 70.835 * * [simplify]: Extracting #2: cost 26 inf + 0 70.835 * * [simplify]: Extracting #3: cost 23 inf + 128 70.836 * * [simplify]: Extracting #4: cost 10 inf + 1713 70.836 * * [simplify]: Extracting #5: cost 0 inf + 4919 70.837 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 70.837 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))))) 70.837 * * * * [progress]: [ 9 / 471 ] simplifiying candidate # 70.837 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 70.837 * * [simplify]: iters left: 5 (6 enodes) 70.839 * * [simplify]: iters left: 4 (26 enodes) 70.846 * * [simplify]: iters left: 3 (35 enodes) 70.856 * * [simplify]: Extracting #0: cost 1 inf + 0 70.856 * * [simplify]: Extracting #1: cost 3 inf + 0 70.857 * * [simplify]: Extracting #2: cost 8 inf + 0 70.857 * * [simplify]: Extracting #3: cost 11 inf + 2 70.857 * * [simplify]: Extracting #4: cost 8 inf + 87 70.857 * * [simplify]: Extracting #5: cost 2 inf + 500 70.857 * * [simplify]: Extracting #6: cost 0 inf + 746 70.858 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 70.858 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 70.858 * * * * [progress]: [ 10 / 471 ] simplifiying candidate # 70.858 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 70.858 * * [simplify]: iters left: 5 (6 enodes) 70.862 * * [simplify]: iters left: 4 (26 enodes) 70.868 * * [simplify]: iters left: 3 (35 enodes) 70.873 * * [simplify]: Extracting #0: cost 1 inf + 0 70.873 * * [simplify]: Extracting #1: cost 3 inf + 0 70.873 * * [simplify]: Extracting #2: cost 8 inf + 0 70.873 * * [simplify]: Extracting #3: cost 11 inf + 2 70.873 * * [simplify]: Extracting #4: cost 8 inf + 87 70.873 * * [simplify]: Extracting #5: cost 2 inf + 460 70.873 * * [simplify]: Extracting #6: cost 0 inf + 666 70.874 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 70.874 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 70.874 * * * * [progress]: [ 11 / 471 ] simplifiying candidate # 70.874 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 70.874 * * [simplify]: iters left: 5 (7 enodes) 70.876 * * [simplify]: iters left: 4 (25 enodes) 70.881 * * [simplify]: iters left: 3 (30 enodes) 70.885 * * [simplify]: Extracting #0: cost 1 inf + 0 70.885 * * [simplify]: Extracting #1: cost 4 inf + 0 70.885 * * [simplify]: Extracting #2: cost 8 inf + 0 70.885 * * [simplify]: Extracting #3: cost 10 inf + 82 70.885 * * [simplify]: Extracting #4: cost 7 inf + 206 70.885 * * [simplify]: Extracting #5: cost 2 inf + 575 70.886 * * [simplify]: Extracting #6: cost 1 inf + 818 70.886 * * [simplify]: Extracting #7: cost 0 inf + 1061 70.886 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 70.886 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 70.886 * * * * [progress]: [ 12 / 471 ] simplifiying candidate # 70.886 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 70.886 * * [simplify]: iters left: 5 (7 enodes) 70.888 * * [simplify]: iters left: 4 (25 enodes) 70.892 * * [simplify]: iters left: 3 (30 enodes) 70.901 * * [simplify]: Extracting #0: cost 1 inf + 0 70.902 * * [simplify]: Extracting #1: cost 4 inf + 0 70.902 * * [simplify]: Extracting #2: cost 8 inf + 0 70.902 * * [simplify]: Extracting #3: cost 10 inf + 42 70.902 * * [simplify]: Extracting #4: cost 7 inf + 126 70.902 * * [simplify]: Extracting #5: cost 2 inf + 495 70.902 * * [simplify]: Extracting #6: cost 1 inf + 698 70.903 * * [simplify]: Extracting #7: cost 0 inf + 901 70.903 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 70.903 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 70.903 * * * * [progress]: [ 13 / 471 ] simplifiying candidate # 70.904 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 70.904 * * [simplify]: iters left: 5 (6 enodes) 70.907 * * [simplify]: iters left: 4 (22 enodes) 70.914 * * [simplify]: iters left: 3 (27 enodes) 70.926 * * [simplify]: Extracting #0: cost 1 inf + 0 70.926 * * [simplify]: Extracting #1: cost 4 inf + 0 70.926 * * [simplify]: Extracting #2: cost 5 inf + 1 70.926 * * [simplify]: Extracting #3: cost 9 inf + 1 70.926 * * [simplify]: Extracting #4: cost 8 inf + 3 70.926 * * [simplify]: Extracting #5: cost 4 inf + 169 70.926 * * [simplify]: Extracting #6: cost 1 inf + 576 70.927 * * [simplify]: Extracting #7: cost 0 inf + 739 70.927 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 70.927 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 70.927 * * * * [progress]: [ 14 / 471 ] simplifiying candidate # 70.928 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 70.928 * * [simplify]: iters left: 5 (7 enodes) 70.932 * * [simplify]: iters left: 4 (25 enodes) 70.940 * * [simplify]: iters left: 3 (30 enodes) 70.950 * * [simplify]: Extracting #0: cost 1 inf + 0 70.950 * * [simplify]: Extracting #1: cost 4 inf + 0 70.950 * * [simplify]: Extracting #2: cost 8 inf + 0 70.950 * * [simplify]: Extracting #3: cost 10 inf + 82 70.950 * * [simplify]: Extracting #4: cost 7 inf + 206 70.950 * * [simplify]: Extracting #5: cost 2 inf + 495 70.951 * * [simplify]: Extracting #6: cost 1 inf + 698 70.951 * * [simplify]: Extracting #7: cost 0 inf + 901 70.951 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 70.951 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 70.951 * * * * [progress]: [ 15 / 471 ] simplifiying candidate # 70.952 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 70.952 * * [simplify]: iters left: 5 (7 enodes) 70.956 * * [simplify]: iters left: 4 (25 enodes) 70.965 * * [simplify]: iters left: 3 (30 enodes) 70.974 * * [simplify]: Extracting #0: cost 1 inf + 0 70.974 * * [simplify]: Extracting #1: cost 4 inf + 0 70.974 * * [simplify]: Extracting #2: cost 8 inf + 0 70.974 * * [simplify]: Extracting #3: cost 10 inf + 42 70.974 * * [simplify]: Extracting #4: cost 7 inf + 126 70.975 * * [simplify]: Extracting #5: cost 2 inf + 415 70.975 * * [simplify]: Extracting #6: cost 1 inf + 578 70.975 * * [simplify]: Extracting #7: cost 0 inf + 741 70.975 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 70.976 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 70.976 * * * * [progress]: [ 16 / 471 ] simplifiying candidate # 70.976 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 70.976 * * [simplify]: iters left: 5 (6 enodes) 70.978 * * [simplify]: iters left: 4 (22 enodes) 70.983 * * [simplify]: iters left: 3 (27 enodes) 70.987 * * [simplify]: Extracting #0: cost 1 inf + 0 70.987 * * [simplify]: Extracting #1: cost 4 inf + 0 70.987 * * [simplify]: Extracting #2: cost 5 inf + 1 70.987 * * [simplify]: Extracting #3: cost 9 inf + 1 70.987 * * [simplify]: Extracting #4: cost 8 inf + 3 70.988 * * [simplify]: Extracting #5: cost 4 inf + 169 70.988 * * [simplify]: Extracting #6: cost 1 inf + 456 70.988 * * [simplify]: Extracting #7: cost 0 inf + 579 70.988 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 70.988 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 70.988 * * * * [progress]: [ 17 / 471 ] simplifiying candidate # 70.988 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 70.988 * * [simplify]: iters left: 4 (6 enodes) 70.991 * * [simplify]: iters left: 3 (25 enodes) 70.995 * * [simplify]: iters left: 2 (36 enodes) 71.001 * * [simplify]: iters left: 1 (40 enodes) 71.006 * * [simplify]: Extracting #0: cost 1 inf + 0 71.006 * * [simplify]: Extracting #1: cost 7 inf + 0 71.007 * * [simplify]: Extracting #2: cost 16 inf + 0 71.007 * * [simplify]: Extracting #3: cost 13 inf + 44 71.007 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.007 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.007 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.007 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 71.007 * * * * [progress]: [ 18 / 471 ] simplifiying candidate # 71.008 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.008 * * [simplify]: iters left: 4 (6 enodes) 71.010 * * [simplify]: iters left: 3 (25 enodes) 71.020 * * [simplify]: iters left: 2 (36 enodes) 71.031 * * [simplify]: iters left: 1 (40 enodes) 71.043 * * [simplify]: Extracting #0: cost 1 inf + 0 71.044 * * [simplify]: Extracting #1: cost 7 inf + 0 71.044 * * [simplify]: Extracting #2: cost 16 inf + 0 71.044 * * [simplify]: Extracting #3: cost 13 inf + 44 71.044 * * [simplify]: Extracting #4: cost 3 inf + 823 71.045 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.045 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.045 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 71.045 * * * * [progress]: [ 19 / 471 ] simplifiying candidate # 71.046 * [simplify]: Simplifying (/ (- 1 k) 2) 71.046 * * [simplify]: iters left: 4 (5 enodes) 71.052 * * [simplify]: iters left: 3 (23 enodes) 71.061 * * [simplify]: iters left: 2 (32 enodes) 71.071 * * [simplify]: Extracting #0: cost 1 inf + 0 71.071 * * [simplify]: Extracting #1: cost 6 inf + 0 71.071 * * [simplify]: Extracting #2: cost 9 inf + 2 71.071 * * [simplify]: Extracting #3: cost 6 inf + 87 71.071 * * [simplify]: Extracting #4: cost 0 inf + 420 71.072 * [simplify]: Simplified to (/ (- 1 k) 2) 71.072 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))))) 71.072 * * * * [progress]: [ 20 / 471 ] simplifiying candidate # 71.072 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 71.073 * * [simplify]: iters left: 5 (8 enodes) 71.078 * * [simplify]: iters left: 4 (31 enodes) 71.089 * * [simplify]: iters left: 3 (45 enodes) 71.102 * * [simplify]: iters left: 2 (51 enodes) 71.117 * * [simplify]: iters left: 1 (52 enodes) 71.131 * * [simplify]: Extracting #0: cost 1 inf + 0 71.131 * * [simplify]: Extracting #1: cost 8 inf + 0 71.131 * * [simplify]: Extracting #2: cost 18 inf + 0 71.131 * * [simplify]: Extracting #3: cost 19 inf + 2 71.131 * * [simplify]: Extracting #4: cost 9 inf + 977 71.132 * * [simplify]: Extracting #5: cost 2 inf + 1790 71.132 * * [simplify]: Extracting #6: cost 0 inf + 2195 71.133 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.133 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 71.133 * * * * [progress]: [ 21 / 471 ] simplifiying candidate # 71.134 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 71.134 * * [simplify]: iters left: 5 (8 enodes) 71.140 * * [simplify]: iters left: 4 (31 enodes) 71.150 * * [simplify]: iters left: 3 (45 enodes) 71.163 * * [simplify]: iters left: 2 (51 enodes) 71.177 * * [simplify]: iters left: 1 (52 enodes) 71.191 * * [simplify]: Extracting #0: cost 1 inf + 0 71.191 * * [simplify]: Extracting #1: cost 8 inf + 0 71.192 * * [simplify]: Extracting #2: cost 18 inf + 0 71.192 * * [simplify]: Extracting #3: cost 19 inf + 2 71.192 * * [simplify]: Extracting #4: cost 9 inf + 697 71.193 * * [simplify]: Extracting #5: cost 2 inf + 1390 71.193 * * [simplify]: Extracting #6: cost 0 inf + 1715 71.194 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.194 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 71.194 * * * * [progress]: [ 22 / 471 ] simplifiying candidate # 71.194 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 71.195 * * [simplify]: iters left: 5 (7 enodes) 71.199 * * [simplify]: iters left: 4 (29 enodes) 71.212 * * [simplify]: iters left: 3 (43 enodes) 71.223 * * [simplify]: iters left: 2 (47 enodes) 71.236 * * [simplify]: Extracting #0: cost 1 inf + 0 71.236 * * [simplify]: Extracting #1: cost 7 inf + 0 71.236 * * [simplify]: Extracting #2: cost 11 inf + 2 71.236 * * [simplify]: Extracting #3: cost 13 inf + 3 71.236 * * [simplify]: Extracting #4: cost 11 inf + 45 71.237 * * [simplify]: Extracting #5: cost 0 inf + 1066 71.237 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.237 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 71.237 * * * * [progress]: [ 23 / 471 ] simplifiying candidate # 71.238 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 71.238 * * [simplify]: iters left: 5 (7 enodes) 71.242 * * [simplify]: iters left: 4 (28 enodes) 71.252 * * [simplify]: iters left: 3 (39 enodes) 71.264 * * [simplify]: iters left: 2 (43 enodes) 71.276 * * [simplify]: Extracting #0: cost 1 inf + 0 71.276 * * [simplify]: Extracting #1: cost 7 inf + 0 71.276 * * [simplify]: Extracting #2: cost 16 inf + 0 71.277 * * [simplify]: Extracting #3: cost 15 inf + 164 71.277 * * [simplify]: Extracting #4: cost 13 inf + 287 71.277 * * [simplify]: Extracting #5: cost 5 inf + 1180 71.278 * * [simplify]: Extracting #6: cost 0 inf + 1951 71.278 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.278 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 71.278 * * * * [progress]: [ 24 / 471 ] simplifiying candidate # 71.279 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 71.279 * * [simplify]: iters left: 5 (7 enodes) 71.283 * * [simplify]: iters left: 4 (28 enodes) 71.292 * * [simplify]: iters left: 3 (39 enodes) 71.304 * * [simplify]: iters left: 2 (43 enodes) 71.316 * * [simplify]: Extracting #0: cost 1 inf + 0 71.317 * * [simplify]: Extracting #1: cost 7 inf + 0 71.317 * * [simplify]: Extracting #2: cost 16 inf + 0 71.317 * * [simplify]: Extracting #3: cost 15 inf + 84 71.317 * * [simplify]: Extracting #4: cost 13 inf + 167 71.317 * * [simplify]: Extracting #5: cost 5 inf + 900 71.318 * * [simplify]: Extracting #6: cost 0 inf + 1551 71.318 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.318 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 71.319 * * * * [progress]: [ 25 / 471 ] simplifiying candidate # 71.319 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 71.319 * * [simplify]: iters left: 5 (6 enodes) 71.323 * * [simplify]: iters left: 4 (26 enodes) 71.332 * * [simplify]: iters left: 3 (35 enodes) 71.337 * * [simplify]: Extracting #0: cost 1 inf + 0 71.337 * * [simplify]: Extracting #1: cost 6 inf + 0 71.337 * * [simplify]: Extracting #2: cost 9 inf + 2 71.337 * * [simplify]: Extracting #3: cost 11 inf + 3 71.337 * * [simplify]: Extracting #4: cost 10 inf + 4 71.338 * * [simplify]: Extracting #5: cost 3 inf + 535 71.338 * * [simplify]: Extracting #6: cost 0 inf + 822 71.338 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 71.338 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 71.338 * * * * [progress]: [ 26 / 471 ] simplifiying candidate # 71.338 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 71.338 * * [simplify]: iters left: 4 (6 enodes) 71.340 * * [simplify]: iters left: 3 (25 enodes) 71.345 * * [simplify]: iters left: 2 (36 enodes) 71.353 * * [simplify]: iters left: 1 (40 enodes) 71.359 * * [simplify]: Extracting #0: cost 1 inf + 0 71.359 * * [simplify]: Extracting #1: cost 7 inf + 0 71.359 * * [simplify]: Extracting #2: cost 16 inf + 0 71.359 * * [simplify]: Extracting #3: cost 13 inf + 44 71.359 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.359 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.360 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.360 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 71.360 * * * * [progress]: [ 27 / 471 ] simplifiying candidate # 71.360 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.360 * * [simplify]: iters left: 4 (6 enodes) 71.363 * * [simplify]: iters left: 3 (25 enodes) 71.372 * * [simplify]: iters left: 2 (36 enodes) 71.383 * * [simplify]: iters left: 1 (40 enodes) 71.395 * * [simplify]: Extracting #0: cost 1 inf + 0 71.395 * * [simplify]: Extracting #1: cost 7 inf + 0 71.395 * * [simplify]: Extracting #2: cost 16 inf + 0 71.395 * * [simplify]: Extracting #3: cost 13 inf + 44 71.395 * * [simplify]: Extracting #4: cost 3 inf + 823 71.396 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.396 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.396 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 71.396 * * * * [progress]: [ 28 / 471 ] simplifiying candidate # 71.397 * [simplify]: Simplifying (/ (- 1 k) 2) 71.397 * * [simplify]: iters left: 4 (5 enodes) 71.401 * * [simplify]: iters left: 3 (23 enodes) 71.409 * * [simplify]: iters left: 2 (32 enodes) 71.416 * * [simplify]: Extracting #0: cost 1 inf + 0 71.416 * * [simplify]: Extracting #1: cost 6 inf + 0 71.416 * * [simplify]: Extracting #2: cost 9 inf + 2 71.416 * * [simplify]: Extracting #3: cost 6 inf + 87 71.416 * * [simplify]: Extracting #4: cost 0 inf + 420 71.416 * [simplify]: Simplified to (/ (- 1 k) 2) 71.416 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))))) 71.416 * * * * [progress]: [ 29 / 471 ] simplifiying candidate # 71.416 * [simplify]: Simplifying (/ (- 1 k) 2) 71.416 * * [simplify]: iters left: 4 (5 enodes) 71.418 * * [simplify]: iters left: 3 (23 enodes) 71.422 * * [simplify]: iters left: 2 (32 enodes) 71.427 * * [simplify]: Extracting #0: cost 1 inf + 0 71.427 * * [simplify]: Extracting #1: cost 6 inf + 0 71.427 * * [simplify]: Extracting #2: cost 9 inf + 2 71.427 * * [simplify]: Extracting #3: cost 6 inf + 87 71.427 * * [simplify]: Extracting #4: cost 0 inf + 420 71.428 * [simplify]: Simplified to (/ (- 1 k) 2) 71.428 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))))) 71.428 * * * * [progress]: [ 30 / 471 ] simplifiying candidate # 71.428 * [simplify]: Simplifying (/ 1 2) 71.428 * * [simplify]: iters left: 2 (3 enodes) 71.430 * * [simplify]: iters left: 1 (12 enodes) 71.432 * * [simplify]: Extracting #0: cost 1 inf + 0 71.432 * * [simplify]: Extracting #1: cost 0 inf + 1 71.432 * [simplify]: Simplified to 1/2 71.432 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (pow (* 2 PI) (- 1 k)) 1/2)))) 71.432 * * * * [progress]: [ 31 / 471 ] simplifiying candidate # 71.432 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 71.432 * * [simplify]: iters left: 5 (6 enodes) 71.436 * * [simplify]: iters left: 4 (29 enodes) 71.442 * * [simplify]: iters left: 3 (54 enodes) 71.451 * * [simplify]: iters left: 2 (85 enodes) 71.475 * * [simplify]: iters left: 1 (153 enodes) 71.528 * * [simplify]: Extracting #0: cost 1 inf + 0 71.528 * * [simplify]: Extracting #1: cost 13 inf + 0 71.528 * * [simplify]: Extracting #2: cost 51 inf + 2 71.528 * * [simplify]: Extracting #3: cost 84 inf + 5 71.529 * * [simplify]: Extracting #4: cost 54 inf + 3194 71.530 * * [simplify]: Extracting #5: cost 29 inf + 7327 71.532 * * [simplify]: Extracting #6: cost 12 inf + 15002 71.535 * * [simplify]: Extracting #7: cost 0 inf + 23100 71.538 * * [simplify]: Extracting #8: cost 0 inf + 22969 71.541 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 71.541 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 71.541 * * * * [progress]: [ 32 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 33 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 34 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 35 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 36 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 37 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 38 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 39 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 40 / 471 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2)))))))> 71.541 * * * * [progress]: [ 41 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 42 / 471 ] simplifiying candidate # 71.541 * * * * [progress]: [ 43 / 471 ] simplifiying candidate # 71.542 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 71.542 * * [simplify]: iters left: 6 (8 enodes) 71.544 * * [simplify]: iters left: 5 (35 enodes) 71.558 * * [simplify]: iters left: 4 (56 enodes) 71.571 * * [simplify]: iters left: 3 (72 enodes) 71.584 * * [simplify]: iters left: 2 (129 enodes) 71.616 * * [simplify]: iters left: 1 (172 enodes) 71.663 * * [simplify]: Extracting #0: cost 1 inf + 0 71.663 * * [simplify]: Extracting #1: cost 17 inf + 0 71.663 * * [simplify]: Extracting #2: cost 42 inf + 3 71.664 * * [simplify]: Extracting #3: cost 29 inf + 1337 71.666 * * [simplify]: Extracting #4: cost 4 inf + 4499 71.669 * * [simplify]: Extracting #5: cost 0 inf + 5037 71.671 * * [simplify]: Extracting #6: cost 0 inf + 5034 71.674 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 71.674 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* 1/2 (- (log n) (* k (log n))))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.674 * * * * [progress]: [ 44 / 471 ] simplifiying candidate # 71.674 * * * * [progress]: [ 45 / 471 ] simplifiying candidate # 71.674 * * * * [progress]: [ 46 / 471 ] simplifiying candidate # 71.675 * [simplify]: Simplifying (pow n (/ k 2)) 71.675 * * [simplify]: iters left: 3 (5 enodes) 71.677 * * [simplify]: iters left: 2 (18 enodes) 71.683 * * [simplify]: iters left: 1 (30 enodes) 71.694 * * [simplify]: Extracting #0: cost 1 inf + 0 71.694 * * [simplify]: Extracting #1: cost 10 inf + 0 71.694 * * [simplify]: Extracting #2: cost 23 inf + 1 71.694 * * [simplify]: Extracting #3: cost 23 inf + 46 71.694 * * [simplify]: Extracting #4: cost 11 inf + 1346 71.695 * * [simplify]: Extracting #5: cost 1 inf + 3938 71.696 * * [simplify]: Extracting #6: cost 0 inf + 4111 71.697 * * [simplify]: Extracting #7: cost 0 inf + 4070 71.698 * [simplify]: Simplified to (pow n (/ k 2)) 71.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.698 * * * * [progress]: [ 47 / 471 ] simplifiying candidate # 71.698 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 71.698 * * [simplify]: iters left: 5 (6 enodes) 71.703 * * [simplify]: iters left: 4 (26 enodes) 71.710 * * [simplify]: iters left: 3 (35 enodes) 71.715 * * [simplify]: Extracting #0: cost 1 inf + 0 71.715 * * [simplify]: Extracting #1: cost 3 inf + 0 71.715 * * [simplify]: Extracting #2: cost 8 inf + 0 71.716 * * [simplify]: Extracting #3: cost 11 inf + 2 71.716 * * [simplify]: Extracting #4: cost 8 inf + 87 71.716 * * [simplify]: Extracting #5: cost 2 inf + 500 71.716 * * [simplify]: Extracting #6: cost 0 inf + 746 71.716 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 71.716 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.716 * * * * [progress]: [ 48 / 471 ] simplifiying candidate # 71.716 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 71.716 * * [simplify]: iters left: 5 (6 enodes) 71.719 * * [simplify]: iters left: 4 (26 enodes) 71.723 * * [simplify]: iters left: 3 (35 enodes) 71.729 * * [simplify]: Extracting #0: cost 1 inf + 0 71.729 * * [simplify]: Extracting #1: cost 3 inf + 0 71.729 * * [simplify]: Extracting #2: cost 8 inf + 0 71.729 * * [simplify]: Extracting #3: cost 11 inf + 2 71.729 * * [simplify]: Extracting #4: cost 8 inf + 87 71.729 * * [simplify]: Extracting #5: cost 2 inf + 460 71.729 * * [simplify]: Extracting #6: cost 0 inf + 666 71.729 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 71.729 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.729 * * * * [progress]: [ 49 / 471 ] simplifiying candidate # 71.729 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 71.730 * * [simplify]: iters left: 5 (7 enodes) 71.732 * * [simplify]: iters left: 4 (25 enodes) 71.736 * * [simplify]: iters left: 3 (30 enodes) 71.741 * * [simplify]: Extracting #0: cost 1 inf + 0 71.741 * * [simplify]: Extracting #1: cost 4 inf + 0 71.741 * * [simplify]: Extracting #2: cost 8 inf + 0 71.741 * * [simplify]: Extracting #3: cost 10 inf + 82 71.741 * * [simplify]: Extracting #4: cost 7 inf + 206 71.741 * * [simplify]: Extracting #5: cost 2 inf + 575 71.741 * * [simplify]: Extracting #6: cost 1 inf + 818 71.742 * * [simplify]: Extracting #7: cost 0 inf + 1061 71.742 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 71.742 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.742 * * * * [progress]: [ 50 / 471 ] simplifiying candidate # 71.743 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 71.743 * * [simplify]: iters left: 5 (7 enodes) 71.747 * * [simplify]: iters left: 4 (25 enodes) 71.755 * * [simplify]: iters left: 3 (30 enodes) 71.764 * * [simplify]: Extracting #0: cost 1 inf + 0 71.764 * * [simplify]: Extracting #1: cost 4 inf + 0 71.764 * * [simplify]: Extracting #2: cost 8 inf + 0 71.764 * * [simplify]: Extracting #3: cost 10 inf + 42 71.765 * * [simplify]: Extracting #4: cost 7 inf + 126 71.765 * * [simplify]: Extracting #5: cost 2 inf + 495 71.765 * * [simplify]: Extracting #6: cost 1 inf + 698 71.765 * * [simplify]: Extracting #7: cost 0 inf + 901 71.766 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 71.766 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.766 * * * * [progress]: [ 51 / 471 ] simplifiying candidate # 71.766 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 71.766 * * [simplify]: iters left: 5 (6 enodes) 71.770 * * [simplify]: iters left: 4 (22 enodes) 71.781 * * [simplify]: iters left: 3 (27 enodes) 71.785 * * [simplify]: Extracting #0: cost 1 inf + 0 71.785 * * [simplify]: Extracting #1: cost 4 inf + 0 71.785 * * [simplify]: Extracting #2: cost 5 inf + 1 71.785 * * [simplify]: Extracting #3: cost 9 inf + 1 71.785 * * [simplify]: Extracting #4: cost 8 inf + 3 71.785 * * [simplify]: Extracting #5: cost 4 inf + 169 71.785 * * [simplify]: Extracting #6: cost 1 inf + 576 71.786 * * [simplify]: Extracting #7: cost 0 inf + 739 71.786 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 71.786 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.786 * * * * [progress]: [ 52 / 471 ] simplifiying candidate # 71.786 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 71.786 * * [simplify]: iters left: 5 (7 enodes) 71.788 * * [simplify]: iters left: 4 (25 enodes) 71.792 * * [simplify]: iters left: 3 (30 enodes) 71.797 * * [simplify]: Extracting #0: cost 1 inf + 0 71.797 * * [simplify]: Extracting #1: cost 4 inf + 0 71.797 * * [simplify]: Extracting #2: cost 8 inf + 0 71.797 * * [simplify]: Extracting #3: cost 10 inf + 82 71.797 * * [simplify]: Extracting #4: cost 7 inf + 206 71.798 * * [simplify]: Extracting #5: cost 2 inf + 495 71.798 * * [simplify]: Extracting #6: cost 1 inf + 698 71.798 * * [simplify]: Extracting #7: cost 0 inf + 901 71.798 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 71.798 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.798 * * * * [progress]: [ 53 / 471 ] simplifiying candidate # 71.798 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 71.799 * * [simplify]: iters left: 5 (7 enodes) 71.801 * * [simplify]: iters left: 4 (25 enodes) 71.805 * * [simplify]: iters left: 3 (30 enodes) 71.810 * * [simplify]: Extracting #0: cost 1 inf + 0 71.810 * * [simplify]: Extracting #1: cost 4 inf + 0 71.810 * * [simplify]: Extracting #2: cost 8 inf + 0 71.810 * * [simplify]: Extracting #3: cost 10 inf + 42 71.810 * * [simplify]: Extracting #4: cost 7 inf + 126 71.810 * * [simplify]: Extracting #5: cost 2 inf + 415 71.811 * * [simplify]: Extracting #6: cost 1 inf + 578 71.811 * * [simplify]: Extracting #7: cost 0 inf + 741 71.811 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 71.811 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.811 * * * * [progress]: [ 54 / 471 ] simplifiying candidate # 71.811 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 71.811 * * [simplify]: iters left: 5 (6 enodes) 71.813 * * [simplify]: iters left: 4 (22 enodes) 71.821 * * [simplify]: iters left: 3 (27 enodes) 71.829 * * [simplify]: Extracting #0: cost 1 inf + 0 71.829 * * [simplify]: Extracting #1: cost 4 inf + 0 71.829 * * [simplify]: Extracting #2: cost 5 inf + 1 71.829 * * [simplify]: Extracting #3: cost 9 inf + 1 71.829 * * [simplify]: Extracting #4: cost 8 inf + 3 71.829 * * [simplify]: Extracting #5: cost 4 inf + 169 71.829 * * [simplify]: Extracting #6: cost 1 inf + 456 71.829 * * [simplify]: Extracting #7: cost 0 inf + 579 71.829 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 71.829 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.829 * * * * [progress]: [ 55 / 471 ] simplifiying candidate # 71.830 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 71.830 * * [simplify]: iters left: 4 (6 enodes) 71.832 * * [simplify]: iters left: 3 (25 enodes) 71.836 * * [simplify]: iters left: 2 (36 enodes) 71.842 * * [simplify]: iters left: 1 (40 enodes) 71.848 * * [simplify]: Extracting #0: cost 1 inf + 0 71.848 * * [simplify]: Extracting #1: cost 7 inf + 0 71.848 * * [simplify]: Extracting #2: cost 16 inf + 0 71.848 * * [simplify]: Extracting #3: cost 13 inf + 44 71.848 * * [simplify]: Extracting #4: cost 3 inf + 1103 71.848 * * [simplify]: Extracting #5: cost 0 inf + 1469 71.849 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 71.849 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.849 * * * * [progress]: [ 56 / 471 ] simplifiying candidate # 71.849 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 71.849 * * [simplify]: iters left: 4 (6 enodes) 71.851 * * [simplify]: iters left: 3 (25 enodes) 71.855 * * [simplify]: iters left: 2 (36 enodes) 71.865 * * [simplify]: iters left: 1 (40 enodes) 71.880 * * [simplify]: Extracting #0: cost 1 inf + 0 71.880 * * [simplify]: Extracting #1: cost 7 inf + 0 71.880 * * [simplify]: Extracting #2: cost 16 inf + 0 71.880 * * [simplify]: Extracting #3: cost 13 inf + 44 71.881 * * [simplify]: Extracting #4: cost 3 inf + 823 71.881 * * [simplify]: Extracting #5: cost 0 inf + 1069 71.882 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 71.882 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.882 * * * * [progress]: [ 57 / 471 ] simplifiying candidate # 71.882 * [simplify]: Simplifying (/ (- 1 k) 2) 71.882 * * [simplify]: iters left: 4 (5 enodes) 71.886 * * [simplify]: iters left: 3 (23 enodes) 71.894 * * [simplify]: iters left: 2 (32 enodes) 71.903 * * [simplify]: Extracting #0: cost 1 inf + 0 71.903 * * [simplify]: Extracting #1: cost 6 inf + 0 71.903 * * [simplify]: Extracting #2: cost 9 inf + 2 71.903 * * [simplify]: Extracting #3: cost 6 inf + 87 71.903 * * [simplify]: Extracting #4: cost 0 inf + 420 71.904 * [simplify]: Simplified to (/ (- 1 k) 2) 71.904 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.904 * * * * [progress]: [ 58 / 471 ] simplifiying candidate # 71.904 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 71.904 * * [simplify]: iters left: 5 (8 enodes) 71.909 * * [simplify]: iters left: 4 (31 enodes) 71.920 * * [simplify]: iters left: 3 (45 enodes) 71.933 * * [simplify]: iters left: 2 (51 enodes) 71.948 * * [simplify]: iters left: 1 (52 enodes) 71.961 * * [simplify]: Extracting #0: cost 1 inf + 0 71.961 * * [simplify]: Extracting #1: cost 8 inf + 0 71.961 * * [simplify]: Extracting #2: cost 18 inf + 0 71.961 * * [simplify]: Extracting #3: cost 19 inf + 2 71.961 * * [simplify]: Extracting #4: cost 9 inf + 977 71.962 * * [simplify]: Extracting #5: cost 2 inf + 1790 71.962 * * [simplify]: Extracting #6: cost 0 inf + 2195 71.962 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 71.963 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.963 * * * * [progress]: [ 59 / 471 ] simplifiying candidate # 71.963 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 71.963 * * [simplify]: iters left: 5 (8 enodes) 71.966 * * [simplify]: iters left: 4 (31 enodes) 71.971 * * [simplify]: iters left: 3 (45 enodes) 71.977 * * [simplify]: iters left: 2 (51 enodes) 71.984 * * [simplify]: iters left: 1 (52 enodes) 71.993 * * [simplify]: Extracting #0: cost 1 inf + 0 71.993 * * [simplify]: Extracting #1: cost 8 inf + 0 71.993 * * [simplify]: Extracting #2: cost 18 inf + 0 71.993 * * [simplify]: Extracting #3: cost 19 inf + 2 71.994 * * [simplify]: Extracting #4: cost 9 inf + 697 71.994 * * [simplify]: Extracting #5: cost 2 inf + 1390 71.995 * * [simplify]: Extracting #6: cost 0 inf + 1715 71.996 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 71.996 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 71.996 * * * * [progress]: [ 60 / 471 ] simplifiying candidate # 71.996 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 71.996 * * [simplify]: iters left: 5 (7 enodes) 72.001 * * [simplify]: iters left: 4 (29 enodes) 72.010 * * [simplify]: iters left: 3 (43 enodes) 72.016 * * [simplify]: iters left: 2 (47 enodes) 72.022 * * [simplify]: Extracting #0: cost 1 inf + 0 72.022 * * [simplify]: Extracting #1: cost 7 inf + 0 72.023 * * [simplify]: Extracting #2: cost 11 inf + 2 72.023 * * [simplify]: Extracting #3: cost 13 inf + 3 72.023 * * [simplify]: Extracting #4: cost 11 inf + 45 72.023 * * [simplify]: Extracting #5: cost 0 inf + 1066 72.023 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 72.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.023 * * * * [progress]: [ 61 / 471 ] simplifiying candidate # 72.023 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 72.023 * * [simplify]: iters left: 5 (7 enodes) 72.026 * * [simplify]: iters left: 4 (28 enodes) 72.031 * * [simplify]: iters left: 3 (39 enodes) 72.040 * * [simplify]: iters left: 2 (43 enodes) 72.053 * * [simplify]: Extracting #0: cost 1 inf + 0 72.053 * * [simplify]: Extracting #1: cost 7 inf + 0 72.053 * * [simplify]: Extracting #2: cost 16 inf + 0 72.054 * * [simplify]: Extracting #3: cost 15 inf + 164 72.054 * * [simplify]: Extracting #4: cost 13 inf + 287 72.054 * * [simplify]: Extracting #5: cost 5 inf + 1180 72.055 * * [simplify]: Extracting #6: cost 0 inf + 1951 72.055 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 72.055 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.055 * * * * [progress]: [ 62 / 471 ] simplifiying candidate # 72.056 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 72.056 * * [simplify]: iters left: 5 (7 enodes) 72.060 * * [simplify]: iters left: 4 (28 enodes) 72.070 * * [simplify]: iters left: 3 (39 enodes) 72.082 * * [simplify]: iters left: 2 (43 enodes) 72.095 * * [simplify]: Extracting #0: cost 1 inf + 0 72.095 * * [simplify]: Extracting #1: cost 7 inf + 0 72.095 * * [simplify]: Extracting #2: cost 16 inf + 0 72.095 * * [simplify]: Extracting #3: cost 15 inf + 84 72.095 * * [simplify]: Extracting #4: cost 13 inf + 167 72.095 * * [simplify]: Extracting #5: cost 5 inf + 900 72.096 * * [simplify]: Extracting #6: cost 0 inf + 1551 72.097 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 72.097 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.097 * * * * [progress]: [ 63 / 471 ] simplifiying candidate # 72.097 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 72.097 * * [simplify]: iters left: 5 (6 enodes) 72.102 * * [simplify]: iters left: 4 (26 enodes) 72.111 * * [simplify]: iters left: 3 (35 enodes) 72.121 * * [simplify]: Extracting #0: cost 1 inf + 0 72.121 * * [simplify]: Extracting #1: cost 6 inf + 0 72.121 * * [simplify]: Extracting #2: cost 9 inf + 2 72.121 * * [simplify]: Extracting #3: cost 11 inf + 3 72.122 * * [simplify]: Extracting #4: cost 10 inf + 4 72.122 * * [simplify]: Extracting #5: cost 3 inf + 535 72.122 * * [simplify]: Extracting #6: cost 0 inf + 822 72.123 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 72.123 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.123 * * * * [progress]: [ 64 / 471 ] simplifiying candidate # 72.123 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 72.123 * * [simplify]: iters left: 4 (6 enodes) 72.127 * * [simplify]: iters left: 3 (25 enodes) 72.137 * * [simplify]: iters left: 2 (36 enodes) 72.152 * * [simplify]: iters left: 1 (40 enodes) 72.159 * * [simplify]: Extracting #0: cost 1 inf + 0 72.159 * * [simplify]: Extracting #1: cost 7 inf + 0 72.159 * * [simplify]: Extracting #2: cost 16 inf + 0 72.159 * * [simplify]: Extracting #3: cost 13 inf + 44 72.159 * * [simplify]: Extracting #4: cost 3 inf + 1103 72.159 * * [simplify]: Extracting #5: cost 0 inf + 1469 72.159 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 72.159 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.160 * * * * [progress]: [ 65 / 471 ] simplifiying candidate # 72.160 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 72.160 * * [simplify]: iters left: 4 (6 enodes) 72.162 * * [simplify]: iters left: 3 (25 enodes) 72.167 * * [simplify]: iters left: 2 (36 enodes) 72.174 * * [simplify]: iters left: 1 (40 enodes) 72.185 * * [simplify]: Extracting #0: cost 1 inf + 0 72.186 * * [simplify]: Extracting #1: cost 7 inf + 0 72.186 * * [simplify]: Extracting #2: cost 16 inf + 0 72.186 * * [simplify]: Extracting #3: cost 13 inf + 44 72.186 * * [simplify]: Extracting #4: cost 3 inf + 823 72.187 * * [simplify]: Extracting #5: cost 0 inf + 1069 72.187 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 72.187 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.187 * * * * [progress]: [ 66 / 471 ] simplifiying candidate # 72.188 * [simplify]: Simplifying (/ (- 1 k) 2) 72.188 * * [simplify]: iters left: 4 (5 enodes) 72.191 * * [simplify]: iters left: 3 (23 enodes) 72.199 * * [simplify]: iters left: 2 (32 enodes) 72.209 * * [simplify]: Extracting #0: cost 1 inf + 0 72.209 * * [simplify]: Extracting #1: cost 6 inf + 0 72.209 * * [simplify]: Extracting #2: cost 9 inf + 2 72.209 * * [simplify]: Extracting #3: cost 6 inf + 87 72.209 * * [simplify]: Extracting #4: cost 0 inf + 420 72.210 * [simplify]: Simplified to (/ (- 1 k) 2) 72.210 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.210 * * * * [progress]: [ 67 / 471 ] simplifiying candidate # 72.210 * [simplify]: Simplifying (/ (- 1 k) 2) 72.210 * * [simplify]: iters left: 4 (5 enodes) 72.214 * * [simplify]: iters left: 3 (23 enodes) 72.222 * * [simplify]: iters left: 2 (32 enodes) 72.232 * * [simplify]: Extracting #0: cost 1 inf + 0 72.232 * * [simplify]: Extracting #1: cost 6 inf + 0 72.232 * * [simplify]: Extracting #2: cost 9 inf + 2 72.232 * * [simplify]: Extracting #3: cost 6 inf + 87 72.232 * * [simplify]: Extracting #4: cost 0 inf + 420 72.232 * [simplify]: Simplified to (/ (- 1 k) 2) 72.232 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n 1) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.233 * * * * [progress]: [ 68 / 471 ] simplifiying candidate # 72.233 * [simplify]: Simplifying (/ 1 2) 72.233 * * [simplify]: iters left: 2 (3 enodes) 72.236 * * [simplify]: iters left: 1 (12 enodes) 72.240 * * [simplify]: Extracting #0: cost 1 inf + 0 72.240 * * [simplify]: Extracting #1: cost 0 inf + 1 72.240 * [simplify]: Simplified to 1/2 72.241 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (- 1 k)) 1/2) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.241 * * * * [progress]: [ 69 / 471 ] simplifiying candidate # 72.241 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 72.241 * * [simplify]: iters left: 5 (9 enodes) 72.246 * * [simplify]: iters left: 4 (38 enodes) 72.253 * * [simplify]: iters left: 3 (63 enodes) 72.265 * * [simplify]: iters left: 2 (98 enodes) 72.287 * * [simplify]: iters left: 1 (167 enodes) 72.351 * * [simplify]: Extracting #0: cost 1 inf + 0 72.351 * * [simplify]: Extracting #1: cost 13 inf + 0 72.352 * * [simplify]: Extracting #2: cost 54 inf + 1 72.352 * * [simplify]: Extracting #3: cost 87 inf + 5 72.353 * * [simplify]: Extracting #4: cost 68 inf + 1334 72.355 * * [simplify]: Extracting #5: cost 40 inf + 5047 72.359 * * [simplify]: Extracting #6: cost 11 inf + 17686 72.365 * * [simplify]: Extracting #7: cost 0 inf + 25802 72.372 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 72.373 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.373 * * * * [progress]: [ 70 / 471 ] simplifiying candidate # 72.373 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 72.373 * * [simplify]: iters left: 5 (8 enodes) 72.378 * * [simplify]: iters left: 4 (35 enodes) 72.390 * * [simplify]: iters left: 3 (56 enodes) 72.409 * * [simplify]: iters left: 2 (89 enodes) 72.427 * * [simplify]: iters left: 1 (175 enodes) 72.467 * * [simplify]: Extracting #0: cost 1 inf + 0 72.467 * * [simplify]: Extracting #1: cost 13 inf + 0 72.467 * * [simplify]: Extracting #2: cost 53 inf + 1 72.468 * * [simplify]: Extracting #3: cost 83 inf + 47 72.468 * * [simplify]: Extracting #4: cost 60 inf + 2914 72.470 * * [simplify]: Extracting #5: cost 14 inf + 15118 72.473 * * [simplify]: Extracting #6: cost 1 inf + 21571 72.476 * * [simplify]: Extracting #7: cost 0 inf + 21783 72.482 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 72.482 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.482 * * * * [progress]: [ 71 / 471 ] simplifiying candidate # 72.483 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 72.483 * * [simplify]: iters left: 5 (6 enodes) 72.487 * * [simplify]: iters left: 4 (24 enodes) 72.499 * * [simplify]: iters left: 3 (33 enodes) 72.504 * * [simplify]: Extracting #0: cost 1 inf + 0 72.504 * * [simplify]: Extracting #1: cost 0 inf + 1 72.504 * [simplify]: Simplified to 1 72.504 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 72.504 * * * * [progress]: [ 72 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 73 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 74 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 75 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 76 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 77 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 78 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 79 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 80 / 471 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))> 72.504 * * * * [progress]: [ 81 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 82 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 83 / 471 ] simplifiying candidate # 72.504 * * * * [progress]: [ 84 / 471 ] simplifiying candidate # 72.505 * [simplify]: Simplifying (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 72.505 * * [simplify]: iters left: 6 (13 enodes) 72.509 * * [simplify]: iters left: 5 (53 enodes) 72.518 * * [simplify]: iters left: 4 (93 enodes) 72.545 * * [simplify]: iters left: 3 (200 enodes) 72.609 * * [simplify]: iters left: 2 (450 enodes) 72.819 * * [simplify]: Extracting #0: cost 1 inf + 0 72.819 * * [simplify]: Extracting #1: cost 28 inf + 0 72.819 * * [simplify]: Extracting #2: cost 88 inf + 1 72.820 * * [simplify]: Extracting #3: cost 117 inf + 1470 72.824 * * [simplify]: Extracting #4: cost 57 inf + 17696 72.835 * * [simplify]: Extracting #5: cost 1 inf + 32348 72.851 * * [simplify]: Extracting #6: cost 0 inf + 32575 72.860 * [simplify]: Simplified to (fma (/ (+ (log PI) (log 2)) 2) (+ -1 k) (log (sqrt k))) 72.860 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (/ (+ (log PI) (log 2)) 2) (+ -1 k) (log (sqrt k)))))) 72.860 * * * * [progress]: [ 85 / 471 ] simplifiying candidate # 72.861 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 72.861 * * [simplify]: iters left: 6 (12 enodes) 72.864 * * [simplify]: iters left: 5 (53 enodes) 72.877 * * [simplify]: iters left: 4 (96 enodes) 72.907 * * [simplify]: iters left: 3 (197 enodes) 72.969 * * [simplify]: iters left: 2 (437 enodes) 73.175 * * [simplify]: Extracting #0: cost 1 inf + 0 73.175 * * [simplify]: Extracting #1: cost 25 inf + 0 73.175 * * [simplify]: Extracting #2: cost 85 inf + 1 73.176 * * [simplify]: Extracting #3: cost 127 inf + 618 73.179 * * [simplify]: Extracting #4: cost 114 inf + 4404 73.187 * * [simplify]: Extracting #5: cost 43 inf + 17797 73.202 * * [simplify]: Extracting #6: cost 3 inf + 28353 73.217 * * [simplify]: Extracting #7: cost 0 inf + 29083 73.233 * [simplify]: Simplified to (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k))) 73.233 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k)))))) 73.233 * * * * [progress]: [ 86 / 471 ] simplifiying candidate # 73.233 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 73.234 * * [simplify]: iters left: 6 (12 enodes) 73.240 * * [simplify]: iters left: 5 (53 enodes) 73.257 * * [simplify]: iters left: 4 (96 enodes) 73.278 * * [simplify]: iters left: 3 (197 enodes) 73.322 * * [simplify]: iters left: 2 (437 enodes) 73.470 * * [simplify]: Extracting #0: cost 1 inf + 0 73.470 * * [simplify]: Extracting #1: cost 25 inf + 0 73.470 * * [simplify]: Extracting #2: cost 85 inf + 1 73.471 * * [simplify]: Extracting #3: cost 127 inf + 618 73.472 * * [simplify]: Extracting #4: cost 114 inf + 4404 73.476 * * [simplify]: Extracting #5: cost 43 inf + 17797 73.484 * * [simplify]: Extracting #6: cost 3 inf + 28353 73.495 * * [simplify]: Extracting #7: cost 0 inf + 29083 73.502 * [simplify]: Simplified to (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k))) 73.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k)))))) 73.503 * * * * [progress]: [ 87 / 471 ] simplifiying candidate # 73.503 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 73.503 * * [simplify]: iters left: 6 (12 enodes) 73.507 * * [simplify]: iters left: 5 (52 enodes) 73.517 * * [simplify]: iters left: 4 (95 enodes) 73.533 * * [simplify]: iters left: 3 (188 enodes) 73.582 * * [simplify]: iters left: 2 (465 enodes) 73.775 * * [simplify]: Extracting #0: cost 1 inf + 0 73.775 * * [simplify]: Extracting #1: cost 51 inf + 0 73.776 * * [simplify]: Extracting #2: cost 253 inf + 0 73.778 * * [simplify]: Extracting #3: cost 278 inf + 9961 73.787 * * [simplify]: Extracting #4: cost 108 inf + 53925 73.801 * * [simplify]: Extracting #5: cost 36 inf + 69625 73.815 * * [simplify]: Extracting #6: cost 16 inf + 76645 73.846 * * [simplify]: Extracting #7: cost 0 inf + 87074 73.882 * [simplify]: Simplified to (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k))) 73.882 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (fma (log (* 2 PI)) (/ (+ -1 k) 2) (log (sqrt k)))))) 73.882 * * * * [progress]: [ 88 / 471 ] simplifiying candidate # 73.882 * * * * [progress]: [ 89 / 471 ] simplifiying candidate # 73.882 * * * * [progress]: [ 90 / 471 ] simplifiying candidate # 73.882 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 73.883 * * [simplify]: iters left: 6 (14 enodes) 73.891 * * [simplify]: iters left: 5 (63 enodes) 73.915 * * [simplify]: iters left: 4 (150 enodes) 73.990 * * [simplify]: iters left: 3 (418 enodes) 74.231 * * [simplify]: Extracting #0: cost 1 inf + 0 74.231 * * [simplify]: Extracting #1: cost 110 inf + 0 74.232 * * [simplify]: Extracting #2: cost 318 inf + 123 74.234 * * [simplify]: Extracting #3: cost 376 inf + 248 74.236 * * [simplify]: Extracting #4: cost 347 inf + 5648 74.249 * * [simplify]: Extracting #5: cost 156 inf + 114880 74.306 * * [simplify]: Extracting #6: cost 5 inf + 222312 74.342 * * [simplify]: Extracting #7: cost 0 inf + 220253 74.387 * * [simplify]: Extracting #8: cost 0 inf + 219873 74.440 * [simplify]: Simplified to (* (/ (/ k (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 74.440 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (* (/ (/ k (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 74.440 * * * * [progress]: [ 91 / 471 ] simplifiying candidate # 74.440 * * * * [progress]: [ 92 / 471 ] simplifiying candidate # 74.440 * * * * [progress]: [ 93 / 471 ] simplifiying candidate # 74.440 * * * * [progress]: [ 94 / 471 ] simplifiying candidate # 74.440 * * * * [progress]: [ 95 / 471 ] simplifiying candidate # 74.441 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 74.441 * * [simplify]: iters left: 6 (10 enodes) 74.447 * * [simplify]: iters left: 5 (43 enodes) 74.455 * * [simplify]: iters left: 4 (73 enodes) 74.468 * * [simplify]: iters left: 3 (133 enodes) 74.513 * * [simplify]: iters left: 2 (286 enodes) 74.626 * * [simplify]: Extracting #0: cost 1 inf + 0 74.627 * * [simplify]: Extracting #1: cost 43 inf + 0 74.627 * * [simplify]: Extracting #2: cost 142 inf + 0 74.629 * * [simplify]: Extracting #3: cost 200 inf + 3 74.630 * * [simplify]: Extracting #4: cost 179 inf + 4518 74.635 * * [simplify]: Extracting #5: cost 86 inf + 45397 74.647 * * [simplify]: Extracting #6: cost 6 inf + 100352 74.663 * * [simplify]: Extracting #7: cost 0 inf + 103652 74.689 * * [simplify]: Extracting #8: cost 0 inf + 102626 74.712 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 74.712 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 74.713 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 74.713 * * [simplify]: iters left: 6 (10 enodes) 74.716 * * [simplify]: iters left: 5 (41 enodes) 74.723 * * [simplify]: iters left: 4 (64 enodes) 74.737 * * [simplify]: iters left: 3 (104 enodes) 74.773 * * [simplify]: iters left: 2 (198 enodes) 74.818 * * [simplify]: iters left: 1 (379 enodes) 74.958 * * [simplify]: Extracting #0: cost 1 inf + 0 74.958 * * [simplify]: Extracting #1: cost 6 inf + 0 74.958 * * [simplify]: Extracting #2: cost 38 inf + 0 74.958 * * [simplify]: Extracting #3: cost 124 inf + 2 74.959 * * [simplify]: Extracting #4: cost 179 inf + 541 74.961 * * [simplify]: Extracting #5: cost 142 inf + 6676 74.972 * * [simplify]: Extracting #6: cost 47 inf + 39646 74.987 * * [simplify]: Extracting #7: cost 3 inf + 67335 74.996 * * [simplify]: Extracting #8: cost 0 inf + 67738 75.006 * * [simplify]: Extracting #9: cost 0 inf + 67577 75.018 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 75.018 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 75.018 * * * * [progress]: [ 96 / 471 ] simplifiying candidate # 75.018 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 75.019 * * [simplify]: iters left: 6 (14 enodes) 75.031 * * [simplify]: iters left: 5 (60 enodes) 75.050 * * [simplify]: iters left: 4 (100 enodes) 75.081 * * [simplify]: iters left: 3 (138 enodes) 75.112 * * [simplify]: iters left: 2 (209 enodes) 75.178 * * [simplify]: iters left: 1 (366 enodes) 75.355 * * [simplify]: Extracting #0: cost 1 inf + 0 75.355 * * [simplify]: Extracting #1: cost 11 inf + 0 75.355 * * [simplify]: Extracting #2: cost 22 inf + 0 75.355 * * [simplify]: Extracting #3: cost 47 inf + 0 75.355 * * [simplify]: Extracting #4: cost 115 inf + 43 75.356 * * [simplify]: Extracting #5: cost 149 inf + 540 75.357 * * [simplify]: Extracting #6: cost 108 inf + 7584 75.362 * * [simplify]: Extracting #7: cost 35 inf + 34457 75.372 * * [simplify]: Extracting #8: cost 0 inf + 60676 75.385 * * [simplify]: Extracting #9: cost 0 inf + 59775 75.410 * * [simplify]: Extracting #10: cost 0 inf + 59115 75.422 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 75.422 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 75.422 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 75.422 * * [simplify]: iters left: 6 (12 enodes) 75.426 * * [simplify]: iters left: 5 (48 enodes) 75.434 * * [simplify]: iters left: 4 (73 enodes) 75.450 * * [simplify]: iters left: 3 (104 enodes) 75.485 * * [simplify]: iters left: 2 (172 enodes) 75.544 * * [simplify]: iters left: 1 (329 enodes) 75.681 * * [simplify]: Extracting #0: cost 1 inf + 0 75.681 * * [simplify]: Extracting #1: cost 4 inf + 0 75.681 * * [simplify]: Extracting #2: cost 8 inf + 0 75.681 * * [simplify]: Extracting #3: cost 37 inf + 0 75.681 * * [simplify]: Extracting #4: cost 109 inf + 43 75.682 * * [simplify]: Extracting #5: cost 138 inf + 834 75.683 * * [simplify]: Extracting #6: cost 104 inf + 6245 75.688 * * [simplify]: Extracting #7: cost 61 inf + 13442 75.699 * * [simplify]: Extracting #8: cost 27 inf + 36935 75.716 * * [simplify]: Extracting #9: cost 1 inf + 59567 75.738 * * [simplify]: Extracting #10: cost 0 inf + 59337 75.752 * * [simplify]: Extracting #11: cost 0 inf + 58313 75.762 * * [simplify]: Extracting #12: cost 0 inf + 57621 75.771 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 75.771 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 75.771 * * * * [progress]: [ 97 / 471 ] simplifiying candidate # 75.772 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 75.772 * * [simplify]: iters left: 6 (13 enodes) 75.775 * * [simplify]: iters left: 5 (53 enodes) 75.791 * * [simplify]: iters left: 4 (83 enodes) 75.818 * * [simplify]: iters left: 3 (121 enodes) 75.839 * * [simplify]: iters left: 2 (190 enodes) 75.884 * * [simplify]: iters left: 1 (343 enodes) 76.030 * * [simplify]: Extracting #0: cost 1 inf + 0 76.030 * * [simplify]: Extracting #1: cost 7 inf + 0 76.030 * * [simplify]: Extracting #2: cost 15 inf + 0 76.030 * * [simplify]: Extracting #3: cost 44 inf + 0 76.030 * * [simplify]: Extracting #4: cost 118 inf + 43 76.031 * * [simplify]: Extracting #5: cost 146 inf + 782 76.033 * * [simplify]: Extracting #6: cost 95 inf + 10325 76.042 * * [simplify]: Extracting #7: cost 27 inf + 33766 76.056 * * [simplify]: Extracting #8: cost 0 inf + 50830 76.078 * * [simplify]: Extracting #9: cost 0 inf + 49582 76.100 * * [simplify]: Extracting #10: cost 0 inf + 49451 76.123 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 76.123 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 76.124 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 76.124 * * [simplify]: iters left: 6 (12 enodes) 76.131 * * [simplify]: iters left: 5 (48 enodes) 76.146 * * [simplify]: iters left: 4 (74 enodes) 76.158 * * [simplify]: iters left: 3 (109 enodes) 76.181 * * [simplify]: iters left: 2 (182 enodes) 76.234 * * [simplify]: iters left: 1 (345 enodes) 76.363 * * [simplify]: Extracting #0: cost 1 inf + 0 76.363 * * [simplify]: Extracting #1: cost 4 inf + 0 76.363 * * [simplify]: Extracting #2: cost 9 inf + 0 76.363 * * [simplify]: Extracting #3: cost 35 inf + 0 76.363 * * [simplify]: Extracting #4: cost 109 inf + 43 76.364 * * [simplify]: Extracting #5: cost 131 inf + 707 76.366 * * [simplify]: Extracting #6: cost 84 inf + 7702 76.371 * * [simplify]: Extracting #7: cost 22 inf + 36720 76.378 * * [simplify]: Extracting #8: cost 0 inf + 55184 76.391 * * [simplify]: Extracting #9: cost 0 inf + 54403 76.408 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 76.408 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 76.408 * * * * [progress]: [ 98 / 471 ] simplifiying candidate # 76.409 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 76.409 * * [simplify]: iters left: 6 (6 enodes) 76.412 * * [simplify]: iters left: 5 (20 enodes) 76.419 * * [simplify]: iters left: 4 (30 enodes) 76.427 * * [simplify]: iters left: 3 (31 enodes) 76.435 * * [simplify]: Extracting #0: cost 1 inf + 0 76.435 * * [simplify]: Extracting #1: cost 5 inf + 0 76.436 * * [simplify]: Extracting #2: cost 7 inf + 1 76.436 * * [simplify]: Extracting #3: cost 9 inf + 1 76.436 * * [simplify]: Extracting #4: cost 8 inf + 2 76.436 * * [simplify]: Extracting #5: cost 0 inf + 972 76.436 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 76.436 * [simplify]: Simplified (2 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)))))) 76.437 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 76.437 * * [simplify]: iters left: 6 (11 enodes) 76.442 * * [simplify]: iters left: 5 (45 enodes) 76.450 * * [simplify]: iters left: 4 (68 enodes) 76.465 * * [simplify]: iters left: 3 (108 enodes) 76.486 * * [simplify]: iters left: 2 (205 enodes) 76.529 * * [simplify]: iters left: 1 (386 enodes) 76.662 * * [simplify]: Extracting #0: cost 1 inf + 0 76.662 * * [simplify]: Extracting #1: cost 6 inf + 0 76.663 * * [simplify]: Extracting #2: cost 36 inf + 0 76.663 * * [simplify]: Extracting #3: cost 122 inf + 1 76.665 * * [simplify]: Extracting #4: cost 156 inf + 1084 76.670 * * [simplify]: Extracting #5: cost 92 inf + 19572 76.681 * * [simplify]: Extracting #6: cost 25 inf + 52933 76.692 * * [simplify]: Extracting #7: cost 0 inf + 71185 76.702 * * [simplify]: Extracting #8: cost 0 inf + 70923 76.721 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 76.721 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 76.721 * * * * [progress]: [ 99 / 471 ] simplifiying candidate # 76.722 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 76.722 * * [simplify]: iters left: 6 (13 enodes) 76.736 * * [simplify]: iters left: 5 (56 enodes) 76.755 * * [simplify]: iters left: 4 (93 enodes) 76.784 * * [simplify]: iters left: 3 (161 enodes) 76.814 * * [simplify]: iters left: 2 (315 enodes) 76.902 * * [simplify]: Extracting #0: cost 1 inf + 0 76.903 * * [simplify]: Extracting #1: cost 45 inf + 0 76.903 * * [simplify]: Extracting #2: cost 139 inf + 0 76.904 * * [simplify]: Extracting #3: cost 203 inf + 2 76.905 * * [simplify]: Extracting #4: cost 178 inf + 7425 76.911 * * [simplify]: Extracting #5: cost 78 inf + 51825 76.943 * * [simplify]: Extracting #6: cost 3 inf + 104139 76.960 * * [simplify]: Extracting #7: cost 0 inf + 103611 76.974 * * [simplify]: Extracting #8: cost 0 inf + 103376 77.000 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))) 77.000 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (* (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 77.000 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 77.000 * * [simplify]: iters left: 6 (12 enodes) 77.008 * * [simplify]: iters left: 5 (51 enodes) 77.025 * * [simplify]: iters left: 4 (81 enodes) 77.046 * * [simplify]: iters left: 3 (135 enodes) 77.072 * * [simplify]: iters left: 2 (260 enodes) 77.156 * * [simplify]: iters left: 1 (496 enodes) 77.401 * * [simplify]: Extracting #0: cost 1 inf + 0 77.401 * * [simplify]: Extracting #1: cost 6 inf + 0 77.402 * * [simplify]: Extracting #2: cost 38 inf + 0 77.402 * * [simplify]: Extracting #3: cost 139 inf + 1 77.404 * * [simplify]: Extracting #4: cost 203 inf + 959 77.409 * * [simplify]: Extracting #5: cost 139 inf + 12811 77.417 * * [simplify]: Extracting #6: cost 47 inf + 42656 77.431 * * [simplify]: Extracting #7: cost 9 inf + 68652 77.448 * * [simplify]: Extracting #8: cost 0 inf + 74827 77.468 * * [simplify]: Extracting #9: cost 0 inf + 74303 77.479 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 77.479 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 77.480 * * * * [progress]: [ 100 / 471 ] simplifiying candidate # 77.480 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) 77.480 * * [simplify]: iters left: 6 (10 enodes) 77.483 * * [simplify]: iters left: 5 (42 enodes) 77.491 * * [simplify]: iters left: 4 (65 enodes) 77.502 * * [simplify]: iters left: 3 (105 enodes) 77.525 * * [simplify]: iters left: 2 (202 enodes) 77.598 * * [simplify]: iters left: 1 (385 enodes) 77.741 * * [simplify]: Extracting #0: cost 1 inf + 0 77.741 * * [simplify]: Extracting #1: cost 6 inf + 0 77.741 * * [simplify]: Extracting #2: cost 38 inf + 0 77.742 * * [simplify]: Extracting #3: cost 124 inf + 2 77.743 * * [simplify]: Extracting #4: cost 161 inf + 988 77.747 * * [simplify]: Extracting #5: cost 106 inf + 8417 77.757 * * [simplify]: Extracting #6: cost 43 inf + 35089 77.776 * * [simplify]: Extracting #7: cost 0 inf + 64773 77.794 * * [simplify]: Extracting #8: cost 0 inf + 64449 77.804 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) 77.804 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 77.805 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 77.805 * * [simplify]: iters left: 6 (10 enodes) 77.808 * * [simplify]: iters left: 5 (41 enodes) 77.815 * * [simplify]: iters left: 4 (64 enodes) 77.827 * * [simplify]: iters left: 3 (104 enodes) 77.856 * * [simplify]: iters left: 2 (198 enodes) 77.909 * * [simplify]: iters left: 1 (379 enodes) 78.035 * * [simplify]: Extracting #0: cost 1 inf + 0 78.035 * * [simplify]: Extracting #1: cost 6 inf + 0 78.035 * * [simplify]: Extracting #2: cost 38 inf + 0 78.036 * * [simplify]: Extracting #3: cost 124 inf + 2 78.038 * * [simplify]: Extracting #4: cost 179 inf + 621 78.041 * * [simplify]: Extracting #5: cost 142 inf + 6756 78.051 * * [simplify]: Extracting #6: cost 47 inf + 39726 78.070 * * [simplify]: Extracting #7: cost 3 inf + 67415 78.089 * * [simplify]: Extracting #8: cost 0 inf + 67818 78.107 * * [simplify]: Extracting #9: cost 0 inf + 67657 78.125 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 78.126 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 78.126 * * * * [progress]: [ 101 / 471 ] simplifiying candidate # 78.126 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 78.126 * * [simplify]: iters left: 6 (14 enodes) 78.134 * * [simplify]: iters left: 5 (57 enodes) 78.153 * * [simplify]: iters left: 4 (84 enodes) 78.183 * * [simplify]: iters left: 3 (115 enodes) 78.204 * * [simplify]: iters left: 2 (183 enodes) 78.275 * * [simplify]: iters left: 1 (341 enodes) 78.434 * * [simplify]: Extracting #0: cost 1 inf + 0 78.434 * * [simplify]: Extracting #1: cost 6 inf + 0 78.434 * * [simplify]: Extracting #2: cost 13 inf + 0 78.435 * * [simplify]: Extracting #3: cost 38 inf + 0 78.435 * * [simplify]: Extracting #4: cost 103 inf + 83 78.435 * * [simplify]: Extracting #5: cost 131 inf + 580 78.437 * * [simplify]: Extracting #6: cost 97 inf + 6225 78.441 * * [simplify]: Extracting #7: cost 37 inf + 28797 78.452 * * [simplify]: Extracting #8: cost 3 inf + 54668 78.468 * * [simplify]: Extracting #9: cost 0 inf + 56496 78.484 * [simplify]: Simplified to (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 78.484 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 78.484 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 78.484 * * [simplify]: iters left: 6 (12 enodes) 78.491 * * [simplify]: iters left: 5 (48 enodes) 78.502 * * [simplify]: iters left: 4 (73 enodes) 78.513 * * [simplify]: iters left: 3 (104 enodes) 78.536 * * [simplify]: iters left: 2 (172 enodes) 78.585 * * [simplify]: iters left: 1 (329 enodes) 78.693 * * [simplify]: Extracting #0: cost 1 inf + 0 78.693 * * [simplify]: Extracting #1: cost 4 inf + 0 78.694 * * [simplify]: Extracting #2: cost 8 inf + 0 78.694 * * [simplify]: Extracting #3: cost 37 inf + 0 78.694 * * [simplify]: Extracting #4: cost 109 inf + 83 78.695 * * [simplify]: Extracting #5: cost 138 inf + 914 78.698 * * [simplify]: Extracting #6: cost 104 inf + 6325 78.704 * * [simplify]: Extracting #7: cost 61 inf + 13522 78.712 * * [simplify]: Extracting #8: cost 27 inf + 37015 78.720 * * [simplify]: Extracting #9: cost 1 inf + 59647 78.729 * * [simplify]: Extracting #10: cost 0 inf + 59417 78.740 * * [simplify]: Extracting #11: cost 0 inf + 58393 78.756 * * [simplify]: Extracting #12: cost 0 inf + 57701 78.766 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 78.766 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 78.766 * * * * [progress]: [ 102 / 471 ] simplifiying candidate # 78.766 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 78.766 * * [simplify]: iters left: 6 (13 enodes) 78.770 * * [simplify]: iters left: 5 (52 enodes) 78.779 * * [simplify]: iters left: 4 (78 enodes) 78.794 * * [simplify]: iters left: 3 (109 enodes) 78.814 * * [simplify]: iters left: 2 (177 enodes) 78.867 * * [simplify]: iters left: 1 (342 enodes) 79.012 * * [simplify]: Extracting #0: cost 1 inf + 0 79.012 * * [simplify]: Extracting #1: cost 4 inf + 0 79.012 * * [simplify]: Extracting #2: cost 10 inf + 0 79.013 * * [simplify]: Extracting #3: cost 39 inf + 0 79.013 * * [simplify]: Extracting #4: cost 121 inf + 83 79.014 * * [simplify]: Extracting #5: cost 149 inf + 864 79.015 * * [simplify]: Extracting #6: cost 104 inf + 6153 79.019 * * [simplify]: Extracting #7: cost 54 inf + 21523 79.029 * * [simplify]: Extracting #8: cost 18 inf + 45552 79.046 * * [simplify]: Extracting #9: cost 0 inf + 60157 79.062 * * [simplify]: Extracting #10: cost 0 inf + 59999 79.072 * [simplify]: Simplified to (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.072 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 79.072 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.072 * * [simplify]: iters left: 6 (12 enodes) 79.076 * * [simplify]: iters left: 5 (48 enodes) 79.088 * * [simplify]: iters left: 4 (74 enodes) 79.106 * * [simplify]: iters left: 3 (109 enodes) 79.142 * * [simplify]: iters left: 2 (182 enodes) 79.181 * * [simplify]: iters left: 1 (345 enodes) 79.332 * * [simplify]: Extracting #0: cost 1 inf + 0 79.332 * * [simplify]: Extracting #1: cost 4 inf + 0 79.332 * * [simplify]: Extracting #2: cost 9 inf + 0 79.332 * * [simplify]: Extracting #3: cost 35 inf + 0 79.333 * * [simplify]: Extracting #4: cost 109 inf + 83 79.334 * * [simplify]: Extracting #5: cost 131 inf + 787 79.338 * * [simplify]: Extracting #6: cost 84 inf + 7782 79.348 * * [simplify]: Extracting #7: cost 22 inf + 36800 79.364 * * [simplify]: Extracting #8: cost 0 inf + 55264 79.372 * * [simplify]: Extracting #9: cost 0 inf + 54483 79.380 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 79.380 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 79.380 * * * * [progress]: [ 103 / 471 ] simplifiying candidate # 79.380 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) 1) 79.381 * * [simplify]: iters left: 6 (6 enodes) 79.382 * * [simplify]: iters left: 5 (19 enodes) 79.390 * * [simplify]: iters left: 4 (23 enodes) 79.393 * * [simplify]: Extracting #0: cost 1 inf + 0 79.393 * * [simplify]: Extracting #1: cost 5 inf + 0 79.393 * * [simplify]: Extracting #2: cost 7 inf + 1 79.393 * * [simplify]: Extracting #3: cost 6 inf + 2 79.393 * * [simplify]: Extracting #4: cost 0 inf + 648 79.393 * [simplify]: Simplified to (fabs (cbrt k)) 79.394 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 79.394 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 79.394 * * [simplify]: iters left: 6 (11 enodes) 79.397 * * [simplify]: iters left: 5 (45 enodes) 79.412 * * [simplify]: iters left: 4 (68 enodes) 79.434 * * [simplify]: iters left: 3 (108 enodes) 79.454 * * [simplify]: iters left: 2 (205 enodes) 79.523 * * [simplify]: iters left: 1 (386 enodes) 79.664 * * [simplify]: Extracting #0: cost 1 inf + 0 79.665 * * [simplify]: Extracting #1: cost 6 inf + 0 79.665 * * [simplify]: Extracting #2: cost 36 inf + 0 79.665 * * [simplify]: Extracting #3: cost 122 inf + 1 79.667 * * [simplify]: Extracting #4: cost 156 inf + 1164 79.673 * * [simplify]: Extracting #5: cost 92 inf + 19652 79.686 * * [simplify]: Extracting #6: cost 25 inf + 53013 79.699 * * [simplify]: Extracting #7: cost 0 inf + 71265 79.713 * * [simplify]: Extracting #8: cost 0 inf + 71003 79.734 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 79.735 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (fabs (cbrt k)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 79.735 * * * * [progress]: [ 104 / 471 ] simplifiying candidate # 79.735 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 79.736 * * [simplify]: iters left: 6 (13 enodes) 79.744 * * [simplify]: iters left: 5 (55 enodes) 79.763 * * [simplify]: iters left: 4 (88 enodes) 79.792 * * [simplify]: iters left: 3 (140 enodes) 79.828 * * [simplify]: iters left: 2 (250 enodes) 79.901 * * [simplify]: iters left: 1 (466 enodes) 80.111 * * [simplify]: Extracting #0: cost 1 inf + 0 80.111 * * [simplify]: Extracting #1: cost 6 inf + 0 80.111 * * [simplify]: Extracting #2: cost 38 inf + 0 80.111 * * [simplify]: Extracting #3: cost 132 inf + 1 80.112 * * [simplify]: Extracting #4: cost 196 inf + 500 80.114 * * [simplify]: Extracting #5: cost 147 inf + 7832 80.123 * * [simplify]: Extracting #6: cost 62 inf + 29897 80.135 * * [simplify]: Extracting #7: cost 5 inf + 70737 80.152 * * [simplify]: Extracting #8: cost 0 inf + 72752 80.163 * * [simplify]: Extracting #9: cost 0 inf + 71860 80.179 * * [simplify]: Extracting #10: cost 0 inf + 71729 80.201 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 80.201 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 80.202 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 80.202 * * [simplify]: iters left: 6 (12 enodes) 80.209 * * [simplify]: iters left: 5 (51 enodes) 80.227 * * [simplify]: iters left: 4 (81 enodes) 80.259 * * [simplify]: iters left: 3 (135 enodes) 80.310 * * [simplify]: iters left: 2 (260 enodes) 80.417 * * [simplify]: iters left: 1 (496 enodes) 80.656 * * [simplify]: Extracting #0: cost 1 inf + 0 80.656 * * [simplify]: Extracting #1: cost 6 inf + 0 80.656 * * [simplify]: Extracting #2: cost 38 inf + 0 80.657 * * [simplify]: Extracting #3: cost 139 inf + 1 80.658 * * [simplify]: Extracting #4: cost 203 inf + 1039 80.661 * * [simplify]: Extracting #5: cost 139 inf + 12891 80.673 * * [simplify]: Extracting #6: cost 47 inf + 42736 80.684 * * [simplify]: Extracting #7: cost 9 inf + 68732 80.696 * * [simplify]: Extracting #8: cost 0 inf + 74907 80.707 * * [simplify]: Extracting #9: cost 0 inf + 74383 80.727 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 80.727 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 80.727 * * * * [progress]: [ 105 / 471 ] simplifiying candidate # 80.727 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 80.727 * * [simplify]: iters left: 6 (9 enodes) 80.730 * * [simplify]: iters left: 5 (38 enodes) 80.737 * * [simplify]: iters left: 4 (61 enodes) 80.748 * * [simplify]: iters left: 3 (101 enodes) 80.783 * * [simplify]: iters left: 2 (195 enodes) 80.822 * * [simplify]: iters left: 1 (359 enodes) 80.984 * * [simplify]: Extracting #0: cost 1 inf + 0 80.984 * * [simplify]: Extracting #1: cost 6 inf + 0 80.984 * * [simplify]: Extracting #2: cost 36 inf + 0 80.984 * * [simplify]: Extracting #3: cost 118 inf + 2 80.985 * * [simplify]: Extracting #4: cost 169 inf + 296 80.986 * * [simplify]: Extracting #5: cost 139 inf + 2912 80.988 * * [simplify]: Extracting #6: cost 89 inf + 9361 80.998 * * [simplify]: Extracting #7: cost 36 inf + 34708 81.007 * * [simplify]: Extracting #8: cost 1 inf + 62406 81.015 * * [simplify]: Extracting #9: cost 0 inf + 62506 81.024 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 81.024 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 81.024 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 81.024 * * [simplify]: iters left: 6 (10 enodes) 81.027 * * [simplify]: iters left: 5 (41 enodes) 81.041 * * [simplify]: iters left: 4 (64 enodes) 81.062 * * [simplify]: iters left: 3 (104 enodes) 81.106 * * [simplify]: iters left: 2 (198 enodes) 81.149 * * [simplify]: iters left: 1 (379 enodes) 81.303 * * [simplify]: Extracting #0: cost 1 inf + 0 81.303 * * [simplify]: Extracting #1: cost 6 inf + 0 81.303 * * [simplify]: Extracting #2: cost 38 inf + 0 81.304 * * [simplify]: Extracting #3: cost 124 inf + 2 81.305 * * [simplify]: Extracting #4: cost 179 inf + 461 81.309 * * [simplify]: Extracting #5: cost 142 inf + 6556 81.319 * * [simplify]: Extracting #6: cost 47 inf + 39006 81.331 * * [simplify]: Extracting #7: cost 3 inf + 66455 81.340 * * [simplify]: Extracting #8: cost 0 inf + 66818 81.349 * * [simplify]: Extracting #9: cost 0 inf + 66657 81.365 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 81.365 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 81.365 * * * * [progress]: [ 106 / 471 ] simplifiying candidate # 81.365 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 81.366 * * [simplify]: iters left: 6 (13 enodes) 81.372 * * [simplify]: iters left: 5 (53 enodes) 81.381 * * [simplify]: iters left: 4 (80 enodes) 81.398 * * [simplify]: iters left: 3 (111 enodes) 81.425 * * [simplify]: iters left: 2 (179 enodes) 81.476 * * [simplify]: iters left: 1 (343 enodes) 81.641 * * [simplify]: Extracting #0: cost 1 inf + 0 81.641 * * [simplify]: Extracting #1: cost 6 inf + 0 81.641 * * [simplify]: Extracting #2: cost 12 inf + 0 81.641 * * [simplify]: Extracting #3: cost 39 inf + 0 81.642 * * [simplify]: Extracting #4: cost 113 inf + 43 81.643 * * [simplify]: Extracting #5: cost 154 inf + 505 81.646 * * [simplify]: Extracting #6: cost 104 inf + 6503 81.659 * * [simplify]: Extracting #7: cost 26 inf + 42249 81.673 * * [simplify]: Extracting #8: cost 0 inf + 60633 81.682 * * [simplify]: Extracting #9: cost 0 inf + 59783 81.690 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 81.691 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 81.691 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 81.691 * * [simplify]: iters left: 6 (12 enodes) 81.695 * * [simplify]: iters left: 5 (48 enodes) 81.708 * * [simplify]: iters left: 4 (73 enodes) 81.730 * * [simplify]: iters left: 3 (104 enodes) 81.761 * * [simplify]: iters left: 2 (172 enodes) 81.797 * * [simplify]: iters left: 1 (329 enodes) 81.936 * * [simplify]: Extracting #0: cost 1 inf + 0 81.936 * * [simplify]: Extracting #1: cost 4 inf + 0 81.936 * * [simplify]: Extracting #2: cost 8 inf + 0 81.936 * * [simplify]: Extracting #3: cost 37 inf + 0 81.936 * * [simplify]: Extracting #4: cost 109 inf + 43 81.937 * * [simplify]: Extracting #5: cost 138 inf + 754 81.938 * * [simplify]: Extracting #6: cost 104 inf + 6085 81.941 * * [simplify]: Extracting #7: cost 61 inf + 13282 81.946 * * [simplify]: Extracting #8: cost 27 inf + 36775 81.956 * * [simplify]: Extracting #9: cost 1 inf + 59407 81.974 * * [simplify]: Extracting #10: cost 0 inf + 59177 81.992 * * [simplify]: Extracting #11: cost 0 inf + 58153 82.011 * * [simplify]: Extracting #12: cost 0 inf + 57461 82.029 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.029 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.030 * * * * [progress]: [ 107 / 471 ] simplifiying candidate # 82.030 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.030 * * [simplify]: iters left: 6 (12 enodes) 82.036 * * [simplify]: iters left: 5 (48 enodes) 82.044 * * [simplify]: iters left: 4 (74 enodes) 82.056 * * [simplify]: iters left: 3 (109 enodes) 82.083 * * [simplify]: iters left: 2 (182 enodes) 82.129 * * [simplify]: iters left: 1 (345 enodes) 82.282 * * [simplify]: Extracting #0: cost 1 inf + 0 82.282 * * [simplify]: Extracting #1: cost 4 inf + 0 82.282 * * [simplify]: Extracting #2: cost 9 inf + 0 82.282 * * [simplify]: Extracting #3: cost 35 inf + 0 82.282 * * [simplify]: Extracting #4: cost 109 inf + 43 82.284 * * [simplify]: Extracting #5: cost 131 inf + 627 82.286 * * [simplify]: Extracting #6: cost 84 inf + 7622 82.291 * * [simplify]: Extracting #7: cost 22 inf + 36560 82.299 * * [simplify]: Extracting #8: cost 0 inf + 55024 82.307 * * [simplify]: Extracting #9: cost 0 inf + 54243 82.320 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.320 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.321 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.321 * * [simplify]: iters left: 6 (12 enodes) 82.328 * * [simplify]: iters left: 5 (48 enodes) 82.344 * * [simplify]: iters left: 4 (74 enodes) 82.358 * * [simplify]: iters left: 3 (109 enodes) 82.377 * * [simplify]: iters left: 2 (182 enodes) 82.442 * * [simplify]: iters left: 1 (345 enodes) 82.603 * * [simplify]: Extracting #0: cost 1 inf + 0 82.603 * * [simplify]: Extracting #1: cost 4 inf + 0 82.603 * * [simplify]: Extracting #2: cost 9 inf + 0 82.604 * * [simplify]: Extracting #3: cost 35 inf + 0 82.604 * * [simplify]: Extracting #4: cost 109 inf + 43 82.604 * * [simplify]: Extracting #5: cost 131 inf + 627 82.606 * * [simplify]: Extracting #6: cost 84 inf + 7622 82.611 * * [simplify]: Extracting #7: cost 22 inf + 36560 82.622 * * [simplify]: Extracting #8: cost 0 inf + 55024 82.642 * * [simplify]: Extracting #9: cost 0 inf + 54243 82.649 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 82.650 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 82.650 * * * * [progress]: [ 108 / 471 ] simplifiying candidate # 82.650 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 82.650 * * [simplify]: iters left: 4 (5 enodes) 82.652 * * [simplify]: iters left: 3 (15 enodes) 82.654 * * [simplify]: iters left: 2 (17 enodes) 82.657 * * [simplify]: Extracting #0: cost 1 inf + 0 82.657 * * [simplify]: Extracting #1: cost 4 inf + 0 82.657 * * [simplify]: Extracting #2: cost 5 inf + 1 82.657 * * [simplify]: Extracting #3: cost 4 inf + 2 82.657 * * [simplify]: Extracting #4: cost 1 inf + 165 82.657 * * [simplify]: Extracting #5: cost 0 inf + 246 82.657 * [simplify]: Simplified to (sqrt (sqrt k)) 82.657 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 82.657 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 82.657 * * [simplify]: iters left: 6 (11 enodes) 82.661 * * [simplify]: iters left: 5 (45 enodes) 82.668 * * [simplify]: iters left: 4 (68 enodes) 82.687 * * [simplify]: iters left: 3 (108 enodes) 82.728 * * [simplify]: iters left: 2 (205 enodes) 82.782 * * [simplify]: iters left: 1 (386 enodes) 82.936 * * [simplify]: Extracting #0: cost 1 inf + 0 82.936 * * [simplify]: Extracting #1: cost 6 inf + 0 82.936 * * [simplify]: Extracting #2: cost 36 inf + 0 82.937 * * [simplify]: Extracting #3: cost 122 inf + 1 82.938 * * [simplify]: Extracting #4: cost 156 inf + 1004 82.940 * * [simplify]: Extracting #5: cost 92 inf + 19132 82.955 * * [simplify]: Extracting #6: cost 25 inf + 52173 82.975 * * [simplify]: Extracting #7: cost 0 inf + 70265 82.996 * * [simplify]: Extracting #8: cost 0 inf + 70003 83.011 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 83.011 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 83.011 * * * * [progress]: [ 109 / 471 ] simplifiying candidate # 83.011 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 83.011 * * [simplify]: iters left: 6 (12 enodes) 83.015 * * [simplify]: iters left: 5 (51 enodes) 83.024 * * [simplify]: iters left: 4 (81 enodes) 83.042 * * [simplify]: iters left: 3 (135 enodes) 83.087 * * [simplify]: iters left: 2 (260 enodes) 83.175 * * [simplify]: iters left: 1 (496 enodes) 83.430 * * [simplify]: Extracting #0: cost 1 inf + 0 83.430 * * [simplify]: Extracting #1: cost 6 inf + 0 83.431 * * [simplify]: Extracting #2: cost 38 inf + 0 83.431 * * [simplify]: Extracting #3: cost 139 inf + 1 83.433 * * [simplify]: Extracting #4: cost 203 inf + 919 83.439 * * [simplify]: Extracting #5: cost 139 inf + 12611 83.455 * * [simplify]: Extracting #6: cost 47 inf + 42056 83.467 * * [simplify]: Extracting #7: cost 9 inf + 67772 83.478 * * [simplify]: Extracting #8: cost 0 inf + 73907 83.499 * * [simplify]: Extracting #9: cost 0 inf + 73383 83.522 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 83.522 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 83.522 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 83.522 * * [simplify]: iters left: 6 (12 enodes) 83.529 * * [simplify]: iters left: 5 (51 enodes) 83.546 * * [simplify]: iters left: 4 (81 enodes) 83.574 * * [simplify]: iters left: 3 (135 enodes) 83.624 * * [simplify]: iters left: 2 (260 enodes) 83.713 * * [simplify]: iters left: 1 (496 enodes) 83.936 * * [simplify]: Extracting #0: cost 1 inf + 0 83.936 * * [simplify]: Extracting #1: cost 6 inf + 0 83.936 * * [simplify]: Extracting #2: cost 38 inf + 0 83.937 * * [simplify]: Extracting #3: cost 139 inf + 1 83.939 * * [simplify]: Extracting #4: cost 203 inf + 919 83.945 * * [simplify]: Extracting #5: cost 139 inf + 12611 83.960 * * [simplify]: Extracting #6: cost 47 inf + 42056 83.982 * * [simplify]: Extracting #7: cost 9 inf + 67772 84.006 * * [simplify]: Extracting #8: cost 0 inf + 73907 84.029 * * [simplify]: Extracting #9: cost 0 inf + 73383 84.046 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 84.046 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 84.046 * * * * [progress]: [ 110 / 471 ] simplifiying candidate # 84.046 * [simplify]: Simplifying (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) 84.046 * * [simplify]: iters left: 6 (8 enodes) 84.049 * * [simplify]: iters left: 5 (35 enodes) 84.055 * * [simplify]: iters left: 4 (58 enodes) 84.069 * * [simplify]: iters left: 3 (95 enodes) 84.100 * * [simplify]: iters left: 2 (187 enodes) 84.152 * * [simplify]: iters left: 1 (358 enodes) 84.318 * * [simplify]: Extracting #0: cost 1 inf + 0 84.318 * * [simplify]: Extracting #1: cost 6 inf + 0 84.318 * * [simplify]: Extracting #2: cost 30 inf + 1 84.318 * * [simplify]: Extracting #3: cost 113 inf + 3 84.319 * * [simplify]: Extracting #4: cost 160 inf + 8 84.319 * * [simplify]: Extracting #5: cost 151 inf + 3193 84.323 * * [simplify]: Extracting #6: cost 69 inf + 24212 84.332 * * [simplify]: Extracting #7: cost 1 inf + 55706 84.344 * * [simplify]: Extracting #8: cost 0 inf + 55681 84.368 * * [simplify]: Extracting #9: cost 0 inf + 55640 84.388 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 84.388 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 84.388 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 84.389 * * [simplify]: iters left: 6 (9 enodes) 84.394 * * [simplify]: iters left: 5 (38 enodes) 84.402 * * [simplify]: iters left: 4 (61 enodes) 84.413 * * [simplify]: iters left: 3 (101 enodes) 84.438 * * [simplify]: iters left: 2 (195 enodes) 84.515 * * [simplify]: iters left: 1 (364 enodes) 84.643 * * [simplify]: Extracting #0: cost 1 inf + 0 84.643 * * [simplify]: Extracting #1: cost 6 inf + 0 84.643 * * [simplify]: Extracting #2: cost 38 inf + 0 84.644 * * [simplify]: Extracting #3: cost 116 inf + 44 84.645 * * [simplify]: Extracting #4: cost 170 inf + 135 84.646 * * [simplify]: Extracting #5: cost 143 inf + 2414 84.649 * * [simplify]: Extracting #6: cost 71 inf + 17929 84.655 * * [simplify]: Extracting #7: cost 12 inf + 52022 84.664 * * [simplify]: Extracting #8: cost 0 inf + 62626 84.683 * * [simplify]: Extracting #9: cost 0 inf + 61596 84.692 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 84.692 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 84.692 * * * * [progress]: [ 111 / 471 ] simplifiying candidate # 84.693 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 84.693 * * [simplify]: iters left: 6 (12 enodes) 84.697 * * [simplify]: iters left: 5 (50 enodes) 84.705 * * [simplify]: iters left: 4 (76 enodes) 84.725 * * [simplify]: iters left: 3 (111 enodes) 84.766 * * [simplify]: iters left: 2 (197 enodes) 85.228 * * [simplify]: iters left: 1 (360 enodes) 85.420 * * [simplify]: Extracting #0: cost 1 inf + 0 85.420 * * [simplify]: Extracting #1: cost 7 inf + 0 85.420 * * [simplify]: Extracting #2: cost 11 inf + 1 85.420 * * [simplify]: Extracting #3: cost 33 inf + 1 85.420 * * [simplify]: Extracting #4: cost 107 inf + 2 85.421 * * [simplify]: Extracting #5: cost 164 inf + 50 85.422 * * [simplify]: Extracting #6: cost 162 inf + 349 85.424 * * [simplify]: Extracting #7: cost 86 inf + 12864 85.433 * * [simplify]: Extracting #8: cost 15 inf + 49299 85.448 * * [simplify]: Extracting #9: cost 0 inf + 61709 85.466 * * [simplify]: Extracting #10: cost 0 inf + 60741 85.484 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))))) 85.484 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (* 1/2 (- 1 k)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 85.485 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 85.485 * * [simplify]: iters left: 6 (11 enodes) 85.491 * * [simplify]: iters left: 5 (45 enodes) 85.507 * * [simplify]: iters left: 4 (66 enodes) 85.529 * * [simplify]: iters left: 3 (102 enodes) 85.567 * * [simplify]: iters left: 2 (193 enodes) 85.645 * * [simplify]: iters left: 1 (358 enodes) 85.793 * * [simplify]: Extracting #0: cost 1 inf + 0 85.793 * * [simplify]: Extracting #1: cost 4 inf + 0 85.793 * * [simplify]: Extracting #2: cost 8 inf + 0 85.793 * * [simplify]: Extracting #3: cost 32 inf + 1 85.793 * * [simplify]: Extracting #4: cost 102 inf + 43 85.794 * * [simplify]: Extracting #5: cost 151 inf + 133 85.795 * * [simplify]: Extracting #6: cost 129 inf + 2046 85.797 * * [simplify]: Extracting #7: cost 74 inf + 10318 85.805 * * [simplify]: Extracting #8: cost 40 inf + 25574 85.813 * * [simplify]: Extracting #9: cost 2 inf + 57128 85.823 * * [simplify]: Extracting #10: cost 0 inf + 58497 85.840 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 85.841 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 85.841 * * * * [progress]: [ 112 / 471 ] simplifiying candidate # 85.841 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 85.841 * * [simplify]: iters left: 6 (11 enodes) 85.848 * * [simplify]: iters left: 5 (45 enodes) 85.862 * * [simplify]: iters left: 4 (67 enodes) 85.881 * * [simplify]: iters left: 3 (103 enodes) 85.901 * * [simplify]: iters left: 2 (191 enodes) 85.971 * * [simplify]: iters left: 1 (345 enodes) 86.123 * * [simplify]: Extracting #0: cost 1 inf + 0 86.123 * * [simplify]: Extracting #1: cost 4 inf + 0 86.123 * * [simplify]: Extracting #2: cost 6 inf + 1 86.123 * * [simplify]: Extracting #3: cost 35 inf + 1 86.123 * * [simplify]: Extracting #4: cost 111 inf + 2 86.124 * * [simplify]: Extracting #5: cost 149 inf + 51 86.125 * * [simplify]: Extracting #6: cost 148 inf + 100 86.125 * * [simplify]: Extracting #7: cost 122 inf + 1800 86.129 * * [simplify]: Extracting #8: cost 46 inf + 23655 86.137 * * [simplify]: Extracting #9: cost 3 inf + 51482 86.157 * * [simplify]: Extracting #10: cost 0 inf + 50692 86.176 * * [simplify]: Extracting #11: cost 0 inf + 49352 86.190 * * [simplify]: Extracting #12: cost 0 inf + 49292 86.204 * [simplify]: Simplified to (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.204 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 86.204 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.205 * * [simplify]: iters left: 6 (11 enodes) 86.208 * * [simplify]: iters left: 5 (45 enodes) 86.218 * * [simplify]: iters left: 4 (67 enodes) 86.240 * * [simplify]: iters left: 3 (103 enodes) 86.275 * * [simplify]: iters left: 2 (191 enodes) 86.323 * * [simplify]: iters left: 1 (345 enodes) 86.434 * * [simplify]: Extracting #0: cost 1 inf + 0 86.434 * * [simplify]: Extracting #1: cost 4 inf + 0 86.434 * * [simplify]: Extracting #2: cost 9 inf + 0 86.434 * * [simplify]: Extracting #3: cost 37 inf + 1 86.434 * * [simplify]: Extracting #4: cost 113 inf + 43 86.435 * * [simplify]: Extracting #5: cost 147 inf + 176 86.437 * * [simplify]: Extracting #6: cost 108 inf + 4935 86.441 * * [simplify]: Extracting #7: cost 39 inf + 27167 86.449 * * [simplify]: Extracting #8: cost 3 inf + 55675 86.461 * * [simplify]: Extracting #9: cost 0 inf + 56258 86.477 * * [simplify]: Extracting #10: cost 0 inf + 55390 86.487 * * [simplify]: Extracting #11: cost 0 inf + 55007 86.496 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 86.496 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 86.496 * * * * [progress]: [ 113 / 471 ] simplifiying candidate # 86.497 * [simplify]: Simplifying (/ (sqrt 1) 1) 86.497 * * [simplify]: iters left: 3 (3 enodes) 86.499 * * [simplify]: iters left: 2 (9 enodes) 86.500 * * [simplify]: iters left: 1 (11 enodes) 86.502 * * [simplify]: Extracting #0: cost 1 inf + 0 86.502 * * [simplify]: Extracting #1: cost 0 inf + 1 86.502 * [simplify]: Simplified to 1 86.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 86.502 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 86.502 * * [simplify]: iters left: 6 (10 enodes) 86.505 * * [simplify]: iters left: 5 (42 enodes) 86.516 * * [simplify]: iters left: 4 (65 enodes) 86.538 * * [simplify]: iters left: 3 (102 enodes) 86.559 * * [simplify]: iters left: 2 (194 enodes) 86.599 * * [simplify]: iters left: 1 (369 enodes) 86.737 * * [simplify]: Extracting #0: cost 1 inf + 0 86.737 * * [simplify]: Extracting #1: cost 6 inf + 0 86.737 * * [simplify]: Extracting #2: cost 41 inf + 0 86.737 * * [simplify]: Extracting #3: cost 120 inf + 84 86.738 * * [simplify]: Extracting #4: cost 150 inf + 632 86.740 * * [simplify]: Extracting #5: cost 101 inf + 9941 86.750 * * [simplify]: Extracting #6: cost 31 inf + 43542 86.769 * * [simplify]: Extracting #7: cost 1 inf + 71261 86.783 * * [simplify]: Extracting #8: cost 0 inf + 68919 86.793 * * [simplify]: Extracting #9: cost 0 inf + 66507 86.805 * * [simplify]: Extracting #10: cost 0 inf + 65470 86.818 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 86.818 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 86.818 * * * * [progress]: [ 114 / 471 ] simplifiying candidate # 86.818 * [simplify]: Simplifying (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 86.818 * * [simplify]: iters left: 6 (11 enodes) 86.822 * * [simplify]: iters left: 5 (48 enodes) 86.831 * * [simplify]: iters left: 4 (75 enodes) 86.844 * * [simplify]: iters left: 3 (122 enodes) 86.870 * * [simplify]: iters left: 2 (231 enodes) 86.920 * * [simplify]: iters left: 1 (460 enodes) 87.111 * * [simplify]: Extracting #0: cost 1 inf + 0 87.111 * * [simplify]: Extracting #1: cost 6 inf + 0 87.111 * * [simplify]: Extracting #2: cost 37 inf + 1 87.112 * * [simplify]: Extracting #3: cost 133 inf + 2 87.113 * * [simplify]: Extracting #4: cost 189 inf + 53 87.116 * * [simplify]: Extracting #5: cost 178 inf + 1715 87.121 * * [simplify]: Extracting #6: cost 103 inf + 9893 87.133 * * [simplify]: Extracting #7: cost 33 inf + 45075 87.153 * * [simplify]: Extracting #8: cost 0 inf + 70297 87.175 * * [simplify]: Extracting #9: cost 0 inf + 69440 87.196 * [simplify]: Simplified to (/ 1 (pow (* 2 PI) (- 1/4 (/ k 4)))) 87.196 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 87.196 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 87.196 * * [simplify]: iters left: 6 (11 enodes) 87.203 * * [simplify]: iters left: 5 (48 enodes) 87.220 * * [simplify]: iters left: 4 (75 enodes) 87.245 * * [simplify]: iters left: 3 (122 enodes) 87.293 * * [simplify]: iters left: 2 (231 enodes) 87.360 * * [simplify]: iters left: 1 (460 enodes) 87.558 * * [simplify]: Extracting #0: cost 1 inf + 0 87.558 * * [simplify]: Extracting #1: cost 6 inf + 0 87.558 * * [simplify]: Extracting #2: cost 40 inf + 0 87.559 * * [simplify]: Extracting #3: cost 135 inf + 43 87.560 * * [simplify]: Extracting #4: cost 171 inf + 1955 87.566 * * [simplify]: Extracting #5: cost 102 inf + 19321 87.574 * * [simplify]: Extracting #6: cost 17 inf + 58651 87.585 * * [simplify]: Extracting #7: cost 1 inf + 70989 87.599 * * [simplify]: Extracting #8: cost 0 inf + 69977 87.620 * * [simplify]: Extracting #9: cost 0 inf + 69937 87.633 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 87.633 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 87.633 * * * * [progress]: [ 115 / 471 ] simplifiying candidate # 87.633 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 87.633 * * [simplify]: iters left: 6 (9 enodes) 87.636 * * [simplify]: iters left: 5 (38 enodes) 87.643 * * [simplify]: iters left: 4 (61 enodes) 87.659 * * [simplify]: iters left: 3 (101 enodes) 87.684 * * [simplify]: iters left: 2 (195 enodes) 87.729 * * [simplify]: iters left: 1 (359 enodes) 87.847 * * [simplify]: Extracting #0: cost 1 inf + 0 87.847 * * [simplify]: Extracting #1: cost 6 inf + 0 87.847 * * [simplify]: Extracting #2: cost 36 inf + 0 87.848 * * [simplify]: Extracting #3: cost 118 inf + 2 87.849 * * [simplify]: Extracting #4: cost 169 inf + 296 87.851 * * [simplify]: Extracting #5: cost 139 inf + 2912 87.856 * * [simplify]: Extracting #6: cost 89 inf + 9361 87.866 * * [simplify]: Extracting #7: cost 36 inf + 34708 87.882 * * [simplify]: Extracting #8: cost 1 inf + 62406 87.899 * * [simplify]: Extracting #9: cost 0 inf + 62506 87.915 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 87.915 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 87.916 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 87.916 * * [simplify]: iters left: 6 (10 enodes) 87.922 * * [simplify]: iters left: 5 (41 enodes) 87.936 * * [simplify]: iters left: 4 (64 enodes) 87.949 * * [simplify]: iters left: 3 (104 enodes) 87.972 * * [simplify]: iters left: 2 (198 enodes) 88.032 * * [simplify]: iters left: 1 (379 enodes) 88.193 * * [simplify]: Extracting #0: cost 1 inf + 0 88.193 * * [simplify]: Extracting #1: cost 6 inf + 0 88.194 * * [simplify]: Extracting #2: cost 38 inf + 0 88.194 * * [simplify]: Extracting #3: cost 124 inf + 2 88.196 * * [simplify]: Extracting #4: cost 179 inf + 461 88.199 * * [simplify]: Extracting #5: cost 142 inf + 6556 88.207 * * [simplify]: Extracting #6: cost 47 inf + 39006 88.216 * * [simplify]: Extracting #7: cost 3 inf + 66455 88.225 * * [simplify]: Extracting #8: cost 0 inf + 66818 88.236 * * [simplify]: Extracting #9: cost 0 inf + 66657 88.254 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 88.254 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 88.254 * * * * [progress]: [ 116 / 471 ] simplifiying candidate # 88.254 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 88.255 * * [simplify]: iters left: 6 (13 enodes) 88.262 * * [simplify]: iters left: 5 (53 enodes) 88.281 * * [simplify]: iters left: 4 (80 enodes) 88.294 * * [simplify]: iters left: 3 (111 enodes) 88.317 * * [simplify]: iters left: 2 (179 enodes) 88.355 * * [simplify]: iters left: 1 (343 enodes) 88.493 * * [simplify]: Extracting #0: cost 1 inf + 0 88.493 * * [simplify]: Extracting #1: cost 6 inf + 0 88.493 * * [simplify]: Extracting #2: cost 12 inf + 0 88.493 * * [simplify]: Extracting #3: cost 39 inf + 0 88.494 * * [simplify]: Extracting #4: cost 113 inf + 43 88.495 * * [simplify]: Extracting #5: cost 154 inf + 505 88.499 * * [simplify]: Extracting #6: cost 104 inf + 6503 88.511 * * [simplify]: Extracting #7: cost 26 inf + 42249 88.529 * * [simplify]: Extracting #8: cost 0 inf + 60633 88.546 * * [simplify]: Extracting #9: cost 0 inf + 59783 88.563 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 88.563 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 88.567 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 88.568 * * [simplify]: iters left: 6 (12 enodes) 88.574 * * [simplify]: iters left: 5 (48 enodes) 88.591 * * [simplify]: iters left: 4 (73 enodes) 88.614 * * [simplify]: iters left: 3 (104 enodes) 88.650 * * [simplify]: iters left: 2 (172 enodes) 88.692 * * [simplify]: iters left: 1 (329 enodes) 88.826 * * [simplify]: Extracting #0: cost 1 inf + 0 88.826 * * [simplify]: Extracting #1: cost 4 inf + 0 88.826 * * [simplify]: Extracting #2: cost 8 inf + 0 88.826 * * [simplify]: Extracting #3: cost 37 inf + 0 88.827 * * [simplify]: Extracting #4: cost 109 inf + 43 88.828 * * [simplify]: Extracting #5: cost 138 inf + 754 88.831 * * [simplify]: Extracting #6: cost 104 inf + 6085 88.836 * * [simplify]: Extracting #7: cost 61 inf + 13282 88.847 * * [simplify]: Extracting #8: cost 27 inf + 36775 88.864 * * [simplify]: Extracting #9: cost 1 inf + 59407 88.882 * * [simplify]: Extracting #10: cost 0 inf + 59177 88.899 * * [simplify]: Extracting #11: cost 0 inf + 58153 88.918 * * [simplify]: Extracting #12: cost 0 inf + 57461 88.941 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 88.941 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 88.941 * * * * [progress]: [ 117 / 471 ] simplifiying candidate # 88.941 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 88.942 * * [simplify]: iters left: 6 (12 enodes) 88.948 * * [simplify]: iters left: 5 (48 enodes) 88.964 * * [simplify]: iters left: 4 (74 enodes) 88.983 * * [simplify]: iters left: 3 (109 enodes) 89.001 * * [simplify]: iters left: 2 (182 enodes) 89.055 * * [simplify]: iters left: 1 (345 enodes) 89.206 * * [simplify]: Extracting #0: cost 1 inf + 0 89.206 * * [simplify]: Extracting #1: cost 4 inf + 0 89.206 * * [simplify]: Extracting #2: cost 9 inf + 0 89.206 * * [simplify]: Extracting #3: cost 35 inf + 0 89.207 * * [simplify]: Extracting #4: cost 109 inf + 43 89.208 * * [simplify]: Extracting #5: cost 131 inf + 627 89.211 * * [simplify]: Extracting #6: cost 84 inf + 7622 89.221 * * [simplify]: Extracting #7: cost 22 inf + 36560 89.237 * * [simplify]: Extracting #8: cost 0 inf + 55024 89.257 * * [simplify]: Extracting #9: cost 0 inf + 54243 89.264 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.264 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 89.265 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.265 * * [simplify]: iters left: 6 (12 enodes) 89.269 * * [simplify]: iters left: 5 (48 enodes) 89.277 * * [simplify]: iters left: 4 (74 enodes) 89.290 * * [simplify]: iters left: 3 (109 enodes) 89.326 * * [simplify]: iters left: 2 (182 enodes) 89.399 * * [simplify]: iters left: 1 (345 enodes) 89.593 * * [simplify]: Extracting #0: cost 1 inf + 0 89.593 * * [simplify]: Extracting #1: cost 4 inf + 0 89.593 * * [simplify]: Extracting #2: cost 9 inf + 0 89.593 * * [simplify]: Extracting #3: cost 35 inf + 0 89.593 * * [simplify]: Extracting #4: cost 109 inf + 43 89.594 * * [simplify]: Extracting #5: cost 131 inf + 627 89.596 * * [simplify]: Extracting #6: cost 84 inf + 7622 89.601 * * [simplify]: Extracting #7: cost 22 inf + 36560 89.612 * * [simplify]: Extracting #8: cost 0 inf + 55024 89.624 * * [simplify]: Extracting #9: cost 0 inf + 54243 89.639 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 89.640 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 89.640 * * * * [progress]: [ 118 / 471 ] simplifiying candidate # 89.640 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1) 89.640 * * [simplify]: iters left: 4 (5 enodes) 89.642 * * [simplify]: iters left: 3 (15 enodes) 89.645 * * [simplify]: iters left: 2 (17 enodes) 89.648 * * [simplify]: Extracting #0: cost 1 inf + 0 89.648 * * [simplify]: Extracting #1: cost 4 inf + 0 89.648 * * [simplify]: Extracting #2: cost 5 inf + 1 89.648 * * [simplify]: Extracting #3: cost 4 inf + 2 89.648 * * [simplify]: Extracting #4: cost 1 inf + 165 89.648 * * [simplify]: Extracting #5: cost 0 inf + 246 89.648 * [simplify]: Simplified to (sqrt (sqrt k)) 89.648 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 89.648 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 89.648 * * [simplify]: iters left: 6 (11 enodes) 89.652 * * [simplify]: iters left: 5 (45 enodes) 89.660 * * [simplify]: iters left: 4 (68 enodes) 89.671 * * [simplify]: iters left: 3 (108 enodes) 89.692 * * [simplify]: iters left: 2 (205 enodes) 89.736 * * [simplify]: iters left: 1 (386 enodes) 89.875 * * [simplify]: Extracting #0: cost 1 inf + 0 89.875 * * [simplify]: Extracting #1: cost 6 inf + 0 89.875 * * [simplify]: Extracting #2: cost 36 inf + 0 89.875 * * [simplify]: Extracting #3: cost 122 inf + 1 89.876 * * [simplify]: Extracting #4: cost 156 inf + 1004 89.879 * * [simplify]: Extracting #5: cost 92 inf + 19132 89.891 * * [simplify]: Extracting #6: cost 25 inf + 52173 89.904 * * [simplify]: Extracting #7: cost 0 inf + 70265 89.915 * * [simplify]: Extracting #8: cost 0 inf + 70003 89.927 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 89.927 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 89.927 * * * * [progress]: [ 119 / 471 ] simplifiying candidate # 89.928 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 89.928 * * [simplify]: iters left: 6 (12 enodes) 89.935 * * [simplify]: iters left: 5 (51 enodes) 89.949 * * [simplify]: iters left: 4 (81 enodes) 89.963 * * [simplify]: iters left: 3 (135 enodes) 90.009 * * [simplify]: iters left: 2 (260 enodes) 90.089 * * [simplify]: iters left: 1 (496 enodes) 90.318 * * [simplify]: Extracting #0: cost 1 inf + 0 90.318 * * [simplify]: Extracting #1: cost 6 inf + 0 90.318 * * [simplify]: Extracting #2: cost 38 inf + 0 90.319 * * [simplify]: Extracting #3: cost 139 inf + 1 90.321 * * [simplify]: Extracting #4: cost 203 inf + 919 90.327 * * [simplify]: Extracting #5: cost 139 inf + 12611 90.338 * * [simplify]: Extracting #6: cost 47 inf + 42056 90.348 * * [simplify]: Extracting #7: cost 9 inf + 67772 90.367 * * [simplify]: Extracting #8: cost 0 inf + 73907 90.385 * * [simplify]: Extracting #9: cost 0 inf + 73383 90.396 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 90.396 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 90.397 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 90.397 * * [simplify]: iters left: 6 (12 enodes) 90.400 * * [simplify]: iters left: 5 (51 enodes) 90.409 * * [simplify]: iters left: 4 (81 enodes) 90.433 * * [simplify]: iters left: 3 (135 enodes) 90.487 * * [simplify]: iters left: 2 (260 enodes) 90.554 * * [simplify]: iters left: 1 (496 enodes) 90.776 * * [simplify]: Extracting #0: cost 1 inf + 0 90.776 * * [simplify]: Extracting #1: cost 6 inf + 0 90.776 * * [simplify]: Extracting #2: cost 38 inf + 0 90.776 * * [simplify]: Extracting #3: cost 139 inf + 1 90.777 * * [simplify]: Extracting #4: cost 203 inf + 919 90.780 * * [simplify]: Extracting #5: cost 139 inf + 12611 90.788 * * [simplify]: Extracting #6: cost 47 inf + 42056 90.807 * * [simplify]: Extracting #7: cost 9 inf + 67772 90.819 * * [simplify]: Extracting #8: cost 0 inf + 73907 90.834 * * [simplify]: Extracting #9: cost 0 inf + 73383 90.846 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 90.846 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 90.846 * * * * [progress]: [ 120 / 471 ] simplifiying candidate # 90.846 * [simplify]: Simplifying (/ 1 (pow 2 (/ (- 1 k) 2))) 90.846 * * [simplify]: iters left: 6 (7 enodes) 90.849 * * [simplify]: iters left: 5 (32 enodes) 90.855 * * [simplify]: iters left: 4 (55 enodes) 90.864 * * [simplify]: iters left: 3 (92 enodes) 90.886 * * [simplify]: iters left: 2 (184 enodes) 90.930 * * [simplify]: iters left: 1 (352 enodes) 91.086 * * [simplify]: Extracting #0: cost 1 inf + 0 91.086 * * [simplify]: Extracting #1: cost 6 inf + 0 91.086 * * [simplify]: Extracting #2: cost 36 inf + 1 91.087 * * [simplify]: Extracting #3: cost 111 inf + 3 91.088 * * [simplify]: Extracting #4: cost 155 inf + 8 91.089 * * [simplify]: Extracting #5: cost 147 inf + 677 91.093 * * [simplify]: Extracting #6: cost 92 inf + 8218 91.100 * * [simplify]: Extracting #7: cost 57 inf + 18571 91.113 * * [simplify]: Extracting #8: cost 9 inf + 52111 91.129 * * [simplify]: Extracting #9: cost 0 inf + 60326 91.150 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 91.150 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 91.151 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 91.151 * * [simplify]: iters left: 6 (9 enodes) 91.156 * * [simplify]: iters left: 5 (38 enodes) 91.163 * * [simplify]: iters left: 4 (61 enodes) 91.174 * * [simplify]: iters left: 3 (101 enodes) 91.197 * * [simplify]: iters left: 2 (195 enodes) 91.273 * * [simplify]: iters left: 1 (364 enodes) 91.430 * * [simplify]: Extracting #0: cost 1 inf + 0 91.431 * * [simplify]: Extracting #1: cost 6 inf + 0 91.431 * * [simplify]: Extracting #2: cost 38 inf + 0 91.431 * * [simplify]: Extracting #3: cost 116 inf + 44 91.432 * * [simplify]: Extracting #4: cost 170 inf + 135 91.433 * * [simplify]: Extracting #5: cost 143 inf + 2414 91.436 * * [simplify]: Extracting #6: cost 71 inf + 17929 91.448 * * [simplify]: Extracting #7: cost 12 inf + 52022 91.466 * * [simplify]: Extracting #8: cost 0 inf + 62626 91.483 * * [simplify]: Extracting #9: cost 0 inf + 61596 91.506 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 91.506 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 91.506 * * * * [progress]: [ 121 / 471 ] simplifiying candidate # 91.506 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 91.506 * * [simplify]: iters left: 6 (11 enodes) 91.513 * * [simplify]: iters left: 5 (47 enodes) 91.529 * * [simplify]: iters left: 4 (70 enodes) 91.551 * * [simplify]: iters left: 3 (106 enodes) 91.589 * * [simplify]: iters left: 2 (194 enodes) 91.638 * * [simplify]: iters left: 1 (349 enodes) 91.812 * * [simplify]: Extracting #0: cost 1 inf + 0 91.812 * * [simplify]: Extracting #1: cost 6 inf + 0 91.812 * * [simplify]: Extracting #2: cost 9 inf + 1 91.812 * * [simplify]: Extracting #3: cost 33 inf + 1 91.812 * * [simplify]: Extracting #4: cost 99 inf + 2 91.813 * * [simplify]: Extracting #5: cost 152 inf + 50 91.813 * * [simplify]: Extracting #6: cost 150 inf + 508 91.815 * * [simplify]: Extracting #7: cost 110 inf + 4706 91.819 * * [simplify]: Extracting #8: cost 40 inf + 26217 91.828 * * [simplify]: Extracting #9: cost 1 inf + 57705 91.845 * * [simplify]: Extracting #10: cost 0 inf + 56069 91.868 * * [simplify]: Extracting #11: cost 0 inf + 55705 91.888 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))) (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))))) 91.888 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))) (cbrt (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 91.889 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 91.889 * * [simplify]: iters left: 6 (11 enodes) 91.895 * * [simplify]: iters left: 5 (45 enodes) 91.908 * * [simplify]: iters left: 4 (66 enodes) 91.919 * * [simplify]: iters left: 3 (102 enodes) 91.940 * * [simplify]: iters left: 2 (193 enodes) 92.010 * * [simplify]: iters left: 1 (358 enodes) 92.147 * * [simplify]: Extracting #0: cost 1 inf + 0 92.147 * * [simplify]: Extracting #1: cost 4 inf + 0 92.147 * * [simplify]: Extracting #2: cost 8 inf + 0 92.147 * * [simplify]: Extracting #3: cost 32 inf + 1 92.147 * * [simplify]: Extracting #4: cost 102 inf + 43 92.148 * * [simplify]: Extracting #5: cost 151 inf + 133 92.149 * * [simplify]: Extracting #6: cost 129 inf + 2046 92.151 * * [simplify]: Extracting #7: cost 74 inf + 10318 92.155 * * [simplify]: Extracting #8: cost 40 inf + 25574 92.163 * * [simplify]: Extracting #9: cost 2 inf + 57128 92.172 * * [simplify]: Extracting #10: cost 0 inf + 58497 92.192 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.192 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.192 * * * * [progress]: [ 122 / 471 ] simplifiying candidate # 92.193 * [simplify]: Simplifying (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.193 * * [simplify]: iters left: 6 (10 enodes) 92.199 * * [simplify]: iters left: 5 (42 enodes) 92.213 * * [simplify]: iters left: 4 (64 enodes) 92.233 * * [simplify]: iters left: 3 (97 enodes) 92.254 * * [simplify]: iters left: 2 (183 enodes) 92.308 * * [simplify]: iters left: 1 (341 enodes) 92.420 * * [simplify]: Extracting #0: cost 1 inf + 0 92.421 * * [simplify]: Extracting #1: cost 4 inf + 0 92.421 * * [simplify]: Extracting #2: cost 6 inf + 1 92.421 * * [simplify]: Extracting #3: cost 35 inf + 1 92.421 * * [simplify]: Extracting #4: cost 112 inf + 2 92.422 * * [simplify]: Extracting #5: cost 138 inf + 93 92.422 * * [simplify]: Extracting #6: cost 140 inf + 182 92.423 * * [simplify]: Extracting #7: cost 108 inf + 3930 92.429 * * [simplify]: Extracting #8: cost 54 inf + 18809 92.444 * * [simplify]: Extracting #9: cost 5 inf + 49921 92.460 * * [simplify]: Extracting #10: cost 0 inf + 54805 92.476 * [simplify]: Simplified to (/ 1 (sqrt (pow (* PI 2) (- 1/2 (/ k 2))))) 92.477 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* PI 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.477 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.477 * * [simplify]: iters left: 6 (11 enodes) 92.484 * * [simplify]: iters left: 5 (45 enodes) 92.496 * * [simplify]: iters left: 4 (67 enodes) 92.512 * * [simplify]: iters left: 3 (103 enodes) 92.534 * * [simplify]: iters left: 2 (191 enodes) 92.572 * * [simplify]: iters left: 1 (345 enodes) 92.705 * * [simplify]: Extracting #0: cost 1 inf + 0 92.705 * * [simplify]: Extracting #1: cost 4 inf + 0 92.705 * * [simplify]: Extracting #2: cost 9 inf + 0 92.706 * * [simplify]: Extracting #3: cost 37 inf + 1 92.706 * * [simplify]: Extracting #4: cost 113 inf + 43 92.707 * * [simplify]: Extracting #5: cost 147 inf + 176 92.710 * * [simplify]: Extracting #6: cost 108 inf + 4935 92.718 * * [simplify]: Extracting #7: cost 39 inf + 27167 92.734 * * [simplify]: Extracting #8: cost 3 inf + 55675 92.746 * * [simplify]: Extracting #9: cost 0 inf + 56258 92.756 * * [simplify]: Extracting #10: cost 0 inf + 55390 92.766 * * [simplify]: Extracting #11: cost 0 inf + 55007 92.783 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 92.783 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 92.784 * * * * [progress]: [ 123 / 471 ] simplifiying candidate # 92.784 * [simplify]: Simplifying (/ 1 1) 92.784 * * [simplify]: iters left: 2 (2 enodes) 92.786 * * [simplify]: iters left: 1 (6 enodes) 92.788 * * [simplify]: Extracting #0: cost 1 inf + 0 92.788 * * [simplify]: Extracting #1: cost 0 inf + 1 92.788 * [simplify]: Simplified to 1 92.788 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 92.788 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 92.789 * * [simplify]: iters left: 6 (10 enodes) 92.794 * * [simplify]: iters left: 5 (42 enodes) 92.813 * * [simplify]: iters left: 4 (65 enodes) 92.828 * * [simplify]: iters left: 3 (102 enodes) 92.848 * * [simplify]: iters left: 2 (194 enodes) 92.901 * * [simplify]: iters left: 1 (369 enodes) 93.016 * * [simplify]: Extracting #0: cost 1 inf + 0 93.017 * * [simplify]: Extracting #1: cost 6 inf + 0 93.017 * * [simplify]: Extracting #2: cost 41 inf + 0 93.018 * * [simplify]: Extracting #3: cost 120 inf + 84 93.019 * * [simplify]: Extracting #4: cost 150 inf + 632 93.023 * * [simplify]: Extracting #5: cost 101 inf + 9941 93.032 * * [simplify]: Extracting #6: cost 31 inf + 43542 93.042 * * [simplify]: Extracting #7: cost 1 inf + 71261 93.052 * * [simplify]: Extracting #8: cost 0 inf + 68919 93.069 * * [simplify]: Extracting #9: cost 0 inf + 66507 93.094 * * [simplify]: Extracting #10: cost 0 inf + 65470 93.108 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 93.109 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* 1 (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 93.109 * * * * [progress]: [ 124 / 471 ] simplifiying candidate # 93.109 * [simplify]: Simplifying (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 93.109 * * [simplify]: iters left: 6 (10 enodes) 93.113 * * [simplify]: iters left: 5 (45 enodes) 93.120 * * [simplify]: iters left: 4 (72 enodes) 93.135 * * [simplify]: iters left: 3 (119 enodes) 93.163 * * [simplify]: iters left: 2 (230 enodes) 93.225 * * [simplify]: iters left: 1 (469 enodes) 93.407 * * [simplify]: Extracting #0: cost 1 inf + 0 93.407 * * [simplify]: Extracting #1: cost 6 inf + 0 93.407 * * [simplify]: Extracting #2: cost 37 inf + 1 93.407 * * [simplify]: Extracting #3: cost 133 inf + 2 93.408 * * [simplify]: Extracting #4: cost 193 inf + 53 93.410 * * [simplify]: Extracting #5: cost 168 inf + 5059 93.414 * * [simplify]: Extracting #6: cost 63 inf + 29249 93.423 * * [simplify]: Extracting #7: cost 16 inf + 58704 93.434 * * [simplify]: Extracting #8: cost 0 inf + 69468 93.448 * * [simplify]: Extracting #9: cost 0 inf + 69298 93.466 * [simplify]: Simplified to (/ 1 (pow (* PI 2) (- 1/4 (/ k 4)))) 93.466 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* PI 2) (- 1/4 (/ k 4)))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 93.467 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 93.467 * * [simplify]: iters left: 6 (11 enodes) 93.470 * * [simplify]: iters left: 5 (48 enodes) 93.479 * * [simplify]: iters left: 4 (75 enodes) 93.491 * * [simplify]: iters left: 3 (122 enodes) 93.516 * * [simplify]: iters left: 2 (231 enodes) 93.590 * * [simplify]: iters left: 1 (460 enodes) 93.781 * * [simplify]: Extracting #0: cost 1 inf + 0 93.781 * * [simplify]: Extracting #1: cost 6 inf + 0 93.781 * * [simplify]: Extracting #2: cost 40 inf + 0 93.782 * * [simplify]: Extracting #3: cost 135 inf + 43 93.784 * * [simplify]: Extracting #4: cost 171 inf + 1955 93.787 * * [simplify]: Extracting #5: cost 102 inf + 19321 93.796 * * [simplify]: Extracting #6: cost 17 inf + 58651 93.807 * * [simplify]: Extracting #7: cost 1 inf + 70989 93.822 * * [simplify]: Extracting #8: cost 0 inf + 69977 93.844 * * [simplify]: Extracting #9: cost 0 inf + 69937 93.856 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 93.857 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4))))))) 93.857 * * * * [progress]: [ 125 / 471 ] simplifiying candidate # 93.857 * * * * [progress]: [ 126 / 471 ] simplifiying candidate # 93.857 * * * * [progress]: [ 127 / 471 ] simplifiying candidate # 93.857 * * * * [progress]: [ 128 / 471 ] simplifiying candidate # 93.857 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 93.857 * * [simplify]: iters left: 5 (7 enodes) 93.860 * * [simplify]: iters left: 4 (32 enodes) 93.866 * * [simplify]: iters left: 3 (57 enodes) 93.876 * * [simplify]: iters left: 2 (88 enodes) 93.899 * * [simplify]: iters left: 1 (156 enodes) 93.940 * * [simplify]: Extracting #0: cost 1 inf + 0 93.940 * * [simplify]: Extracting #1: cost 13 inf + 0 93.940 * * [simplify]: Extracting #2: cost 49 inf + 2 93.941 * * [simplify]: Extracting #3: cost 80 inf + 6 93.942 * * [simplify]: Extracting #4: cost 58 inf + 1840 93.945 * * [simplify]: Extracting #5: cost 22 inf + 9206 93.951 * * [simplify]: Extracting #6: cost 1 inf + 20886 93.957 * * [simplify]: Extracting #7: cost 0 inf + 21301 93.963 * * [simplify]: Extracting #8: cost 0 inf + 21130 93.970 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 93.970 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 93.970 * * * * [progress]: [ 129 / 471 ] simplifiying candidate # 93.970 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 93.970 * * [simplify]: iters left: 6 (9 enodes) 93.977 * * [simplify]: iters left: 5 (39 enodes) 93.990 * * [simplify]: iters left: 4 (60 enodes) 94.004 * * [simplify]: iters left: 3 (96 enodes) 94.026 * * [simplify]: iters left: 2 (184 enodes) 94.064 * * [simplify]: iters left: 1 (346 enodes) 94.190 * * [simplify]: Extracting #0: cost 1 inf + 0 94.190 * * [simplify]: Extracting #1: cost 3 inf + 0 94.190 * * [simplify]: Extracting #2: cost 28 inf + 0 94.194 * * [simplify]: Extracting #3: cost 98 inf + 1 94.195 * * [simplify]: Extracting #4: cost 153 inf + 92 94.196 * * [simplify]: Extracting #5: cost 150 inf + 433 94.198 * * [simplify]: Extracting #6: cost 75 inf + 12742 94.204 * * [simplify]: Extracting #7: cost 19 inf + 38728 94.212 * * [simplify]: Extracting #8: cost 0 inf + 55163 94.221 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 94.221 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 94.221 * * * * [progress]: [ 130 / 471 ] simplifiying candidate # 94.221 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 94.221 * * [simplify]: iters left: 6 (9 enodes) 94.224 * * [simplify]: iters left: 5 (39 enodes) 94.231 * * [simplify]: iters left: 4 (61 enodes) 94.250 * * [simplify]: iters left: 3 (97 enodes) 94.285 * * [simplify]: iters left: 2 (185 enodes) 94.339 * * [simplify]: iters left: 1 (345 enodes) 94.456 * * [simplify]: Extracting #0: cost 1 inf + 0 94.456 * * [simplify]: Extracting #1: cost 4 inf + 0 94.456 * * [simplify]: Extracting #2: cost 34 inf + 0 94.457 * * [simplify]: Extracting #3: cost 112 inf + 1 94.457 * * [simplify]: Extracting #4: cost 158 inf + 94 94.458 * * [simplify]: Extracting #5: cost 153 inf + 392 94.461 * * [simplify]: Extracting #6: cost 93 inf + 14968 94.480 * * [simplify]: Extracting #7: cost 20 inf + 40912 94.506 * * [simplify]: Extracting #8: cost 0 inf + 51477 94.534 * * [simplify]: Extracting #9: cost 0 inf + 51040 94.560 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 94.560 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))))) 94.560 * * * * [progress]: [ 131 / 471 ] simplifiying candidate # 94.561 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 94.561 * * [simplify]: iters left: 5 (8 enodes) 94.566 * * [simplify]: iters left: 4 (36 enodes) 94.577 * * [simplify]: iters left: 3 (57 enodes) 94.596 * * [simplify]: iters left: 2 (90 enodes) 94.615 * * [simplify]: iters left: 1 (176 enodes) 94.675 * * [simplify]: Extracting #0: cost 1 inf + 0 94.675 * * [simplify]: Extracting #1: cost 13 inf + 0 94.675 * * [simplify]: Extracting #2: cost 55 inf + 1 94.676 * * [simplify]: Extracting #3: cost 86 inf + 6 94.677 * * [simplify]: Extracting #4: cost 73 inf + 1511 94.678 * * [simplify]: Extracting #5: cost 26 inf + 9176 94.681 * * [simplify]: Extracting #6: cost 2 inf + 22574 94.684 * * [simplify]: Extracting #7: cost 0 inf + 23644 94.688 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 94.688 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) 1) (pow (* 2 PI) (/ (- 1 k) 2))))) 94.688 * * * * [progress]: [ 132 / 471 ] simplifiying candidate # 94.688 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 94.688 * * [simplify]: iters left: 6 (9 enodes) 94.691 * * [simplify]: iters left: 5 (42 enodes) 94.699 * * [simplify]: iters left: 4 (70 enodes) 94.716 * * [simplify]: iters left: 3 (117 enodes) 94.745 * * [simplify]: iters left: 2 (232 enodes) 94.834 * * [simplify]: iters left: 1 (454 enodes) 95.094 * * [simplify]: Extracting #0: cost 1 inf + 0 95.095 * * [simplify]: Extracting #1: cost 25 inf + 0 95.095 * * [simplify]: Extracting #2: cost 104 inf + 1 95.097 * * [simplify]: Extracting #3: cost 174 inf + 94 95.099 * * [simplify]: Extracting #4: cost 157 inf + 2461 95.106 * * [simplify]: Extracting #5: cost 65 inf + 14842 95.118 * * [simplify]: Extracting #6: cost 25 inf + 35839 95.135 * * [simplify]: Extracting #7: cost 2 inf + 54310 95.154 * * [simplify]: Extracting #8: cost 0 inf + 55922 95.169 * * [simplify]: Extracting #9: cost 0 inf + 55540 95.178 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 95.178 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 95.178 * * * * [progress]: [ 133 / 471 ] simplifiying candidate # 95.179 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 95.179 * * [simplify]: iters left: 4 (4 enodes) 95.179 * * [simplify]: iters left: 3 (12 enodes) 95.184 * * [simplify]: Extracting #0: cost 1 inf + 0 95.184 * * [simplify]: Extracting #1: cost 3 inf + 0 95.184 * * [simplify]: Extracting #2: cost 5 inf + 0 95.184 * * [simplify]: Extracting #3: cost 7 inf + 0 95.184 * * [simplify]: Extracting #4: cost 6 inf + 1 95.184 * * [simplify]: Extracting #5: cost 0 inf + 647 95.185 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 95.185 * [simplify]: Simplified (2 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)))))) 95.185 * * * * [progress]: [ 134 / 471 ] simplifiying candidate # 95.185 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 95.185 * * [simplify]: iters left: 4 (4 enodes) 95.186 * * [simplify]: iters left: 3 (13 enodes) 95.187 * * [simplify]: Extracting #0: cost 1 inf + 0 95.187 * * [simplify]: Extracting #1: cost 4 inf + 0 95.187 * * [simplify]: Extracting #2: cost 7 inf + 0 95.188 * * [simplify]: Extracting #3: cost 6 inf + 1 95.188 * * [simplify]: Extracting #4: cost 0 inf + 647 95.188 * [simplify]: Simplified to (fabs (cbrt k)) 95.188 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 95.188 * * * * [progress]: [ 135 / 471 ] simplifiying candidate # 95.188 * [simplify]: Simplifying (sqrt (sqrt k)) 95.188 * * [simplify]: iters left: 2 (3 enodes) 95.189 * * [simplify]: iters left: 1 (9 enodes) 95.190 * * [simplify]: Extracting #0: cost 1 inf + 0 95.190 * * [simplify]: Extracting #1: cost 3 inf + 0 95.190 * * [simplify]: Extracting #2: cost 5 inf + 0 95.190 * * [simplify]: Extracting #3: cost 4 inf + 1 95.190 * * [simplify]: Extracting #4: cost 0 inf + 245 95.190 * [simplify]: Simplified to (sqrt (sqrt k)) 95.190 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 95.190 * * * * [progress]: [ 136 / 471 ] simplifiying candidate # 95.190 * [simplify]: Simplifying (sqrt 1) 95.190 * * [simplify]: iters left: 1 (2 enodes) 95.192 * * [simplify]: Extracting #0: cost 1 inf + 0 95.192 * * [simplify]: Extracting #1: cost 0 inf + 1 95.192 * [simplify]: Simplified to 1 95.192 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))) 95.193 * * * * [progress]: [ 137 / 471 ] simplifiying candidate # 95.193 * [simplify]: Simplifying (sqrt (sqrt k)) 95.193 * * [simplify]: iters left: 2 (3 enodes) 95.193 * * [simplify]: iters left: 1 (9 enodes) 95.195 * * [simplify]: Extracting #0: cost 1 inf + 0 95.195 * * [simplify]: Extracting #1: cost 3 inf + 0 95.195 * * [simplify]: Extracting #2: cost 5 inf + 0 95.195 * * [simplify]: Extracting #3: cost 4 inf + 1 95.195 * * [simplify]: Extracting #4: cost 0 inf + 245 95.195 * [simplify]: Simplified to (sqrt (sqrt k)) 95.195 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 95.195 * * * * [progress]: [ 138 / 471 ] simplifiying candidate # 95.195 * * * * [progress]: [ 139 / 471 ] simplifiying candidate # 95.195 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 95.196 * * [simplify]: iters left: 3 (6 enodes) 95.197 * * [simplify]: iters left: 2 (22 enodes) 95.201 * * [simplify]: iters left: 1 (34 enodes) 95.207 * * [simplify]: Extracting #0: cost 1 inf + 0 95.207 * * [simplify]: Extracting #1: cost 10 inf + 0 95.207 * * [simplify]: Extracting #2: cost 26 inf + 0 95.207 * * [simplify]: Extracting #3: cost 23 inf + 128 95.207 * * [simplify]: Extracting #4: cost 10 inf + 1713 95.208 * * [simplify]: Extracting #5: cost 0 inf + 4919 95.208 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 95.208 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))))) 95.208 * * * * [progress]: [ 140 / 471 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))> 95.208 * * * * [progress]: [ 141 / 471 ] simplifiying candidate # 95.208 * * * * [progress]: [ 142 / 471 ] simplifiying candidate # 95.208 * * * * [progress]: [ 143 / 471 ] simplifiying candidate # 95.208 * * * * [progress]: [ 144 / 471 ] simplifiying candidate # 95.209 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 95.209 * * [simplify]: iters left: 6 (17 enodes) 95.213 * * [simplify]: iters left: 5 (73 enodes) 95.230 * * [simplify]: iters left: 4 (138 enodes) 95.286 * * [simplify]: iters left: 3 (298 enodes) 95.431 * * [simplify]: Extracting #0: cost 1 inf + 0 95.431 * * [simplify]: Extracting #1: cost 33 inf + 0 95.432 * * [simplify]: Extracting #2: cost 143 inf + 0 95.434 * * [simplify]: Extracting #3: cost 160 inf + 1284 95.443 * * [simplify]: Extracting #4: cost 63 inf + 29356 95.462 * * [simplify]: Extracting #5: cost 1 inf + 45126 95.481 * * [simplify]: Extracting #6: cost 0 inf + 45321 95.500 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 95.500 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 95.501 * * * * [progress]: [ 145 / 471 ] simplifiying candidate # 95.501 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 95.501 * * [simplify]: iters left: 6 (16 enodes) 95.510 * * [simplify]: iters left: 5 (73 enodes) 95.535 * * [simplify]: iters left: 4 (141 enodes) 95.592 * * [simplify]: iters left: 3 (287 enodes) 95.727 * * [simplify]: Extracting #0: cost 1 inf + 0 95.728 * * [simplify]: Extracting #1: cost 27 inf + 0 95.728 * * [simplify]: Extracting #2: cost 122 inf + 0 95.729 * * [simplify]: Extracting #3: cost 148 inf + 1043 95.730 * * [simplify]: Extracting #4: cost 113 inf + 8983 95.736 * * [simplify]: Extracting #5: cost 19 inf + 31391 95.744 * * [simplify]: Extracting #6: cost 0 inf + 36541 95.752 * * [simplify]: Extracting #7: cost 0 inf + 36408 95.766 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 95.766 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 95.767 * * * * [progress]: [ 146 / 471 ] simplifiying candidate # 95.767 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 95.767 * * [simplify]: iters left: 6 (16 enodes) 95.776 * * [simplify]: iters left: 5 (73 enodes) 95.801 * * [simplify]: iters left: 4 (141 enodes) 95.860 * * [simplify]: iters left: 3 (287 enodes) 95.965 * * [simplify]: Extracting #0: cost 1 inf + 0 95.965 * * [simplify]: Extracting #1: cost 27 inf + 0 95.965 * * [simplify]: Extracting #2: cost 122 inf + 0 95.966 * * [simplify]: Extracting #3: cost 148 inf + 1043 95.968 * * [simplify]: Extracting #4: cost 113 inf + 8983 95.973 * * [simplify]: Extracting #5: cost 19 inf + 31391 95.981 * * [simplify]: Extracting #6: cost 0 inf + 36541 95.993 * * [simplify]: Extracting #7: cost 0 inf + 36408 96.009 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 96.009 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 96.010 * * * * [progress]: [ 147 / 471 ] simplifiying candidate # 96.010 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 96.010 * * [simplify]: iters left: 6 (16 enodes) 96.019 * * [simplify]: iters left: 5 (72 enodes) 96.044 * * [simplify]: iters left: 4 (137 enodes) 96.077 * * [simplify]: iters left: 3 (273 enodes) 96.194 * * [simplify]: Extracting #0: cost 1 inf + 0 96.194 * * [simplify]: Extracting #1: cost 38 inf + 0 96.195 * * [simplify]: Extracting #2: cost 175 inf + 0 96.196 * * [simplify]: Extracting #3: cost 222 inf + 1064 96.199 * * [simplify]: Extracting #4: cost 138 inf + 19359 96.206 * * [simplify]: Extracting #5: cost 53 inf + 43043 96.216 * * [simplify]: Extracting #6: cost 8 inf + 57163 96.233 * * [simplify]: Extracting #7: cost 0 inf + 59476 96.257 * * [simplify]: Extracting #8: cost 0 inf + 59236 96.283 * * [simplify]: Extracting #9: cost 0 inf + 59196 96.295 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 96.295 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 96.295 * * * * [progress]: [ 148 / 471 ] simplifiying candidate # 96.295 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 96.295 * * [simplify]: iters left: 6 (15 enodes) 96.300 * * [simplify]: iters left: 5 (66 enodes) 96.310 * * [simplify]: iters left: 4 (117 enodes) 96.347 * * [simplify]: iters left: 3 (212 enodes) 96.408 * * [simplify]: Extracting #0: cost 1 inf + 0 96.408 * * [simplify]: Extracting #1: cost 16 inf + 0 96.409 * * [simplify]: Extracting #2: cost 100 inf + 0 96.410 * * [simplify]: Extracting #3: cost 144 inf + 1115 96.413 * * [simplify]: Extracting #4: cost 115 inf + 7918 96.418 * * [simplify]: Extracting #5: cost 76 inf + 18126 96.428 * * [simplify]: Extracting #6: cost 18 inf + 37864 96.435 * * [simplify]: Extracting #7: cost 0 inf + 41389 96.442 * * [simplify]: Extracting #8: cost 0 inf + 41374 96.449 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (fma (- (/ (- 1 k) 2)) (log (* PI 2)) (log (sqrt k))))) 96.449 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (fma (- (/ (- 1 k) 2)) (log (* PI 2)) (log (sqrt k))))))) 96.449 * * * * [progress]: [ 149 / 471 ] simplifiying candidate # 96.450 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 96.450 * * [simplify]: iters left: 6 (17 enodes) 96.460 * * [simplify]: iters left: 5 (73 enodes) 96.485 * * [simplify]: iters left: 4 (138 enodes) 96.542 * * [simplify]: iters left: 3 (298 enodes) 96.682 * * [simplify]: Extracting #0: cost 1 inf + 0 96.682 * * [simplify]: Extracting #1: cost 33 inf + 0 96.683 * * [simplify]: Extracting #2: cost 143 inf + 0 96.684 * * [simplify]: Extracting #3: cost 160 inf + 1284 96.693 * * [simplify]: Extracting #4: cost 63 inf + 29356 96.712 * * [simplify]: Extracting #5: cost 1 inf + 45126 96.731 * * [simplify]: Extracting #6: cost 0 inf + 45321 96.750 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 96.750 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 96.750 * * * * [progress]: [ 150 / 471 ] simplifiying candidate # 96.750 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 96.751 * * [simplify]: iters left: 6 (16 enodes) 96.764 * * [simplify]: iters left: 5 (73 enodes) 96.789 * * [simplify]: iters left: 4 (141 enodes) 96.842 * * [simplify]: iters left: 3 (287 enodes) 96.951 * * [simplify]: Extracting #0: cost 1 inf + 0 96.952 * * [simplify]: Extracting #1: cost 27 inf + 0 96.952 * * [simplify]: Extracting #2: cost 122 inf + 0 96.954 * * [simplify]: Extracting #3: cost 148 inf + 1043 96.957 * * [simplify]: Extracting #4: cost 113 inf + 8983 96.968 * * [simplify]: Extracting #5: cost 19 inf + 31391 96.984 * * [simplify]: Extracting #6: cost 0 inf + 36541 96.999 * * [simplify]: Extracting #7: cost 0 inf + 36408 97.015 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 97.015 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 97.015 * * * * [progress]: [ 151 / 471 ] simplifiying candidate # 97.015 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 97.015 * * [simplify]: iters left: 6 (16 enodes) 97.020 * * [simplify]: iters left: 5 (73 enodes) 97.033 * * [simplify]: iters left: 4 (141 enodes) 97.082 * * [simplify]: iters left: 3 (287 enodes) 97.191 * * [simplify]: Extracting #0: cost 1 inf + 0 97.191 * * [simplify]: Extracting #1: cost 27 inf + 0 97.192 * * [simplify]: Extracting #2: cost 122 inf + 0 97.193 * * [simplify]: Extracting #3: cost 148 inf + 1043 97.196 * * [simplify]: Extracting #4: cost 113 inf + 8983 97.207 * * [simplify]: Extracting #5: cost 19 inf + 31391 97.223 * * [simplify]: Extracting #6: cost 0 inf + 36541 97.243 * * [simplify]: Extracting #7: cost 0 inf + 36408 97.259 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 97.259 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 97.259 * * * * [progress]: [ 152 / 471 ] simplifiying candidate # 97.259 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 97.260 * * [simplify]: iters left: 6 (16 enodes) 97.269 * * [simplify]: iters left: 5 (72 enodes) 97.290 * * [simplify]: iters left: 4 (137 enodes) 97.315 * * [simplify]: iters left: 3 (273 enodes) 97.444 * * [simplify]: Extracting #0: cost 1 inf + 0 97.444 * * [simplify]: Extracting #1: cost 38 inf + 0 97.445 * * [simplify]: Extracting #2: cost 175 inf + 0 97.447 * * [simplify]: Extracting #3: cost 222 inf + 1064 97.453 * * [simplify]: Extracting #4: cost 138 inf + 19359 97.468 * * [simplify]: Extracting #5: cost 53 inf + 43043 97.493 * * [simplify]: Extracting #6: cost 8 inf + 57163 97.504 * * [simplify]: Extracting #7: cost 0 inf + 59476 97.515 * * [simplify]: Extracting #8: cost 0 inf + 59236 97.526 * * [simplify]: Extracting #9: cost 0 inf + 59196 97.537 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 97.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 97.537 * * * * [progress]: [ 153 / 471 ] simplifiying candidate # 97.538 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 97.538 * * [simplify]: iters left: 6 (15 enodes) 97.543 * * [simplify]: iters left: 5 (66 enodes) 97.566 * * [simplify]: iters left: 4 (117 enodes) 97.609 * * [simplify]: iters left: 3 (212 enodes) 97.666 * * [simplify]: Extracting #0: cost 1 inf + 0 97.667 * * [simplify]: Extracting #1: cost 16 inf + 0 97.667 * * [simplify]: Extracting #2: cost 100 inf + 0 97.668 * * [simplify]: Extracting #3: cost 144 inf + 1115 97.671 * * [simplify]: Extracting #4: cost 115 inf + 7918 97.676 * * [simplify]: Extracting #5: cost 76 inf + 18126 97.687 * * [simplify]: Extracting #6: cost 18 inf + 37864 97.705 * * [simplify]: Extracting #7: cost 0 inf + 41389 97.718 * * [simplify]: Extracting #8: cost 0 inf + 41374 97.733 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (fma (- (/ (- 1 k) 2)) (log (* PI 2)) (log (sqrt k))))) 97.733 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (fma (- (/ (- 1 k) 2)) (log (* PI 2)) (log (sqrt k))))))) 97.733 * * * * [progress]: [ 154 / 471 ] simplifiying candidate # 97.733 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))) 97.734 * * [simplify]: iters left: 6 (17 enodes) 97.743 * * [simplify]: iters left: 5 (74 enodes) 97.770 * * [simplify]: iters left: 4 (146 enodes) 97.827 * * [simplify]: iters left: 3 (352 enodes) 97.946 * * [simplify]: Extracting #0: cost 1 inf + 0 97.946 * * [simplify]: Extracting #1: cost 40 inf + 0 97.947 * * [simplify]: Extracting #2: cost 185 inf + 0 97.950 * * [simplify]: Extracting #3: cost 201 inf + 7727 97.964 * * [simplify]: Extracting #4: cost 73 inf + 46586 97.978 * * [simplify]: Extracting #5: cost 13 inf + 62805 97.991 * * [simplify]: Extracting #6: cost 0 inf + 68863 98.004 * * [simplify]: Extracting #7: cost 0 inf + 68382 98.020 * * [simplify]: Extracting #8: cost 0 inf + 68142 98.033 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 98.033 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 98.033 * * * * [progress]: [ 155 / 471 ] simplifiying candidate # 98.033 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 98.034 * * [simplify]: iters left: 6 (16 enodes) 98.039 * * [simplify]: iters left: 5 (74 enodes) 98.052 * * [simplify]: iters left: 4 (153 enodes) 98.083 * * [simplify]: iters left: 3 (340 enodes) 98.182 * * [simplify]: Extracting #0: cost 1 inf + 0 98.183 * * [simplify]: Extracting #1: cost 36 inf + 0 98.183 * * [simplify]: Extracting #2: cost 166 inf + 0 98.184 * * [simplify]: Extracting #3: cost 208 inf + 2072 98.186 * * [simplify]: Extracting #4: cost 168 inf + 9996 98.195 * * [simplify]: Extracting #5: cost 73 inf + 35007 98.213 * * [simplify]: Extracting #6: cost 3 inf + 58426 98.231 * * [simplify]: Extracting #7: cost 0 inf + 59051 98.254 * * [simplify]: Extracting #8: cost 0 inf + 59035 98.276 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 98.276 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 98.276 * * * * [progress]: [ 156 / 471 ] simplifiying candidate # 98.276 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 2)))) 98.276 * * [simplify]: iters left: 6 (16 enodes) 98.281 * * [simplify]: iters left: 5 (74 enodes) 98.297 * * [simplify]: iters left: 4 (153 enodes) 98.331 * * [simplify]: iters left: 3 (340 enodes) 98.469 * * [simplify]: Extracting #0: cost 1 inf + 0 98.469 * * [simplify]: Extracting #1: cost 36 inf + 0 98.470 * * [simplify]: Extracting #2: cost 166 inf + 0 98.471 * * [simplify]: Extracting #3: cost 208 inf + 2072 98.473 * * [simplify]: Extracting #4: cost 168 inf + 9996 98.479 * * [simplify]: Extracting #5: cost 73 inf + 35007 98.493 * * [simplify]: Extracting #6: cost 3 inf + 58426 98.512 * * [simplify]: Extracting #7: cost 0 inf + 59051 98.531 * * [simplify]: Extracting #8: cost 0 inf + 59035 98.542 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 98.542 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 98.543 * * * * [progress]: [ 157 / 471 ] simplifiying candidate # 98.543 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (pow (* 2 PI) (/ (- 1 k) 2))))) 98.543 * * [simplify]: iters left: 6 (16 enodes) 98.548 * * [simplify]: iters left: 5 (72 enodes) 98.563 * * [simplify]: iters left: 4 (136 enodes) 98.598 * * [simplify]: iters left: 3 (291 enodes) 98.710 * * [simplify]: Extracting #0: cost 1 inf + 0 98.710 * * [simplify]: Extracting #1: cost 43 inf + 0 98.710 * * [simplify]: Extracting #2: cost 196 inf + 0 98.711 * * [simplify]: Extracting #3: cost 267 inf + 259 98.713 * * [simplify]: Extracting #4: cost 230 inf + 6527 98.718 * * [simplify]: Extracting #5: cost 128 inf + 30846 98.729 * * [simplify]: Extracting #6: cost 28 inf + 64570 98.755 * * [simplify]: Extracting #7: cost 0 inf + 77428 98.771 * * [simplify]: Extracting #8: cost 0 inf + 77413 98.788 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 98.788 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 98.788 * * * * [progress]: [ 158 / 471 ] simplifiying candidate # 98.788 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 98.788 * * [simplify]: iters left: 6 (15 enodes) 98.793 * * [simplify]: iters left: 5 (66 enodes) 98.807 * * [simplify]: iters left: 4 (117 enodes) 98.839 * * [simplify]: iters left: 3 (228 enodes) 98.895 * * [simplify]: Extracting #0: cost 1 inf + 0 98.896 * * [simplify]: Extracting #1: cost 25 inf + 0 98.896 * * [simplify]: Extracting #2: cost 129 inf + 0 98.897 * * [simplify]: Extracting #3: cost 188 inf + 259 98.899 * * [simplify]: Extracting #4: cost 167 inf + 5295 98.905 * * [simplify]: Extracting #5: cost 106 inf + 19319 98.918 * * [simplify]: Extracting #6: cost 28 inf + 49382 98.934 * * [simplify]: Extracting #7: cost 0 inf + 59577 98.952 * * [simplify]: Extracting #8: cost 0 inf + 58362 98.961 * [simplify]: Simplified to (+ (* (log (* 2 PI)) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))) 98.961 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* 2 PI)) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))))) 98.961 * * * * [progress]: [ 159 / 471 ] simplifiying candidate # 98.961 * * * * [progress]: [ 160 / 471 ] simplifiying candidate # 98.961 * * * * [progress]: [ 161 / 471 ] simplifiying candidate # 98.961 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 98.962 * * [simplify]: iters left: 6 (19 enodes) 98.967 * * [simplify]: iters left: 5 (86 enodes) 98.998 * * [simplify]: iters left: 4 (249 enodes) 99.145 * * [simplify]: Extracting #0: cost 1 inf + 0 99.145 * * [simplify]: Extracting #1: cost 123 inf + 0 99.146 * * [simplify]: Extracting #2: cost 333 inf + 42 99.148 * * [simplify]: Extracting #3: cost 368 inf + 247 99.151 * * [simplify]: Extracting #4: cost 335 inf + 11824 99.166 * * [simplify]: Extracting #5: cost 185 inf + 96067 99.223 * * [simplify]: Extracting #6: cost 10 inf + 222538 99.261 * * [simplify]: Extracting #7: cost 0 inf + 231039 99.312 * [simplify]: Simplified to (* (* (/ (pow n (/ (- 1 k) 2)) (* k (sqrt k))) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 99.312 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow n (/ (- 1 k) 2)) (* k (sqrt k))) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))))) 99.312 * * * * [progress]: [ 162 / 471 ] simplifiying candidate # 99.313 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 99.313 * * [simplify]: iters left: 6 (17 enodes) 99.323 * * [simplify]: iters left: 5 (82 enodes) 99.341 * * [simplify]: iters left: 4 (220 enodes) 99.455 * * [simplify]: Extracting #0: cost 1 inf + 0 99.456 * * [simplify]: Extracting #1: cost 82 inf + 0 99.457 * * [simplify]: Extracting #2: cost 283 inf + 1 99.458 * * [simplify]: Extracting #3: cost 323 inf + 337 99.461 * * [simplify]: Extracting #4: cost 283 inf + 18623 99.477 * * [simplify]: Extracting #5: cost 110 inf + 135826 99.523 * * [simplify]: Extracting #6: cost 9 inf + 209584 99.578 * * [simplify]: Extracting #7: cost 0 inf + 215743 99.607 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 99.607 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))) 99.607 * * * * [progress]: [ 163 / 471 ] simplifiying candidate # 99.607 * * * * [progress]: [ 164 / 471 ] simplifiying candidate # 99.607 * * * * [progress]: [ 165 / 471 ] simplifiying candidate # 99.607 * * * * [progress]: [ 166 / 471 ] simplifiying candidate # 99.607 * * * * [progress]: [ 167 / 471 ] simplifiying candidate # 99.608 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 99.608 * * [simplify]: iters left: 6 (17 enodes) 99.613 * * [simplify]: iters left: 5 (67 enodes) 99.634 * * [simplify]: iters left: 4 (107 enodes) 99.670 * * [simplify]: iters left: 3 (178 enodes) 99.735 * * [simplify]: iters left: 2 (341 enodes) 99.867 * * [simplify]: Extracting #0: cost 1 inf + 0 99.867 * * [simplify]: Extracting #1: cost 54 inf + 0 99.868 * * [simplify]: Extracting #2: cost 147 inf + 0 99.869 * * [simplify]: Extracting #3: cost 211 inf + 2 99.871 * * [simplify]: Extracting #4: cost 236 inf + 10 99.873 * * [simplify]: Extracting #5: cost 233 inf + 3235 99.879 * * [simplify]: Extracting #6: cost 174 inf + 22808 99.911 * * [simplify]: Extracting #7: cost 53 inf + 134588 99.961 * * [simplify]: Extracting #8: cost 1 inf + 186988 100.012 * * [simplify]: Extracting #9: cost 0 inf + 187019 100.056 * * [simplify]: Extracting #10: cost 0 inf + 186888 100.091 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) 100.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 100.091 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 100.091 * * [simplify]: iters left: 6 (15 enodes) 100.096 * * [simplify]: iters left: 5 (59 enodes) 100.106 * * [simplify]: iters left: 4 (93 enodes) 100.122 * * [simplify]: iters left: 3 (145 enodes) 100.173 * * [simplify]: iters left: 2 (261 enodes) 100.257 * * [simplify]: Extracting #0: cost 1 inf + 0 100.257 * * [simplify]: Extracting #1: cost 30 inf + 0 100.257 * * [simplify]: Extracting #2: cost 72 inf + 0 100.258 * * [simplify]: Extracting #3: cost 125 inf + 2 100.259 * * [simplify]: Extracting #4: cost 147 inf + 92 100.260 * * [simplify]: Extracting #5: cost 160 inf + 1211 100.264 * * [simplify]: Extracting #6: cost 105 inf + 14519 100.273 * * [simplify]: Extracting #7: cost 32 inf + 64665 100.283 * * [simplify]: Extracting #8: cost 0 inf + 92963 100.297 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 100.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 100.297 * * * * [progress]: [ 168 / 471 ] simplifiying candidate # 100.297 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 100.298 * * [simplify]: iters left: 6 (16 enodes) 100.307 * * [simplify]: iters left: 5 (62 enodes) 100.328 * * [simplify]: iters left: 4 (96 enodes) 100.354 * * [simplify]: iters left: 3 (148 enodes) 100.385 * * [simplify]: iters left: 2 (264 enodes) 100.473 * * [simplify]: Extracting #0: cost 1 inf + 0 100.473 * * [simplify]: Extracting #1: cost 30 inf + 0 100.474 * * [simplify]: Extracting #2: cost 73 inf + 0 100.474 * * [simplify]: Extracting #3: cost 125 inf + 2 100.474 * * [simplify]: Extracting #4: cost 151 inf + 10 100.475 * * [simplify]: Extracting #5: cost 162 inf + 2196 100.478 * * [simplify]: Extracting #6: cost 90 inf + 25485 100.487 * * [simplify]: Extracting #7: cost 10 inf + 83065 100.498 * * [simplify]: Extracting #8: cost 0 inf + 90181 100.519 * * [simplify]: Extracting #9: cost 0 inf + 90141 100.530 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) 100.530 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 100.530 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 100.531 * * [simplify]: iters left: 6 (15 enodes) 100.535 * * [simplify]: iters left: 5 (59 enodes) 100.545 * * [simplify]: iters left: 4 (93 enodes) 100.574 * * [simplify]: iters left: 3 (145 enodes) 100.608 * * [simplify]: iters left: 2 (261 enodes) 100.672 * * [simplify]: Extracting #0: cost 1 inf + 0 100.673 * * [simplify]: Extracting #1: cost 30 inf + 0 100.673 * * [simplify]: Extracting #2: cost 72 inf + 0 100.674 * * [simplify]: Extracting #3: cost 125 inf + 2 100.675 * * [simplify]: Extracting #4: cost 147 inf + 92 100.676 * * [simplify]: Extracting #5: cost 160 inf + 1211 100.680 * * [simplify]: Extracting #6: cost 105 inf + 14439 100.693 * * [simplify]: Extracting #7: cost 32 inf + 63625 100.715 * * [simplify]: Extracting #8: cost 0 inf + 91483 100.729 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 100.729 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 100.729 * * * * [progress]: [ 169 / 471 ] simplifiying candidate # 100.729 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 100.729 * * [simplify]: iters left: 6 (15 enodes) 100.734 * * [simplify]: iters left: 5 (62 enodes) 100.745 * * [simplify]: iters left: 4 (117 enodes) 100.784 * * [simplify]: iters left: 3 (282 enodes) 100.979 * * [simplify]: Extracting #0: cost 1 inf + 0 100.979 * * [simplify]: Extracting #1: cost 74 inf + 0 100.980 * * [simplify]: Extracting #2: cost 235 inf + 0 100.982 * * [simplify]: Extracting #3: cost 277 inf + 2 100.985 * * [simplify]: Extracting #4: cost 256 inf + 3394 100.995 * * [simplify]: Extracting #5: cost 179 inf + 42768 101.032 * * [simplify]: Extracting #6: cost 20 inf + 169397 101.072 * * [simplify]: Extracting #7: cost 0 inf + 188305 101.098 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) 101.098 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 101.098 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 101.098 * * [simplify]: iters left: 6 (14 enodes) 101.103 * * [simplify]: iters left: 5 (57 enodes) 101.123 * * [simplify]: iters left: 4 (100 enodes) 101.140 * * [simplify]: iters left: 3 (189 enodes) 101.206 * * [simplify]: Extracting #0: cost 1 inf + 0 101.207 * * [simplify]: Extracting #1: cost 38 inf + 0 101.207 * * [simplify]: Extracting #2: cost 129 inf + 0 101.207 * * [simplify]: Extracting #3: cost 165 inf + 2 101.208 * * [simplify]: Extracting #4: cost 153 inf + 918 101.210 * * [simplify]: Extracting #5: cost 98 inf + 17604 101.217 * * [simplify]: Extracting #6: cost 31 inf + 65620 101.228 * * [simplify]: Extracting #7: cost 1 inf + 88832 101.238 * * [simplify]: Extracting #8: cost 0 inf + 89172 101.249 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 101.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 101.249 * * * * [progress]: [ 170 / 471 ] simplifiying candidate # 101.250 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 101.250 * * [simplify]: iters left: 6 (19 enodes) 101.255 * * [simplify]: iters left: 5 (79 enodes) 101.269 * * [simplify]: iters left: 4 (146 enodes) 101.325 * * [simplify]: iters left: 3 (293 enodes) 101.432 * * [simplify]: Extracting #0: cost 1 inf + 0 101.432 * * [simplify]: Extracting #1: cost 63 inf + 0 101.432 * * [simplify]: Extracting #2: cost 171 inf + 0 101.433 * * [simplify]: Extracting #3: cost 218 inf + 0 101.434 * * [simplify]: Extracting #4: cost 212 inf + 1526 101.437 * * [simplify]: Extracting #5: cost 166 inf + 15331 101.447 * * [simplify]: Extracting #6: cost 70 inf + 89339 101.481 * * [simplify]: Extracting #7: cost 0 inf + 157916 101.510 * * [simplify]: Extracting #8: cost 0 inf + 157411 101.548 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 101.548 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 101.549 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 101.549 * * [simplify]: iters left: 6 (16 enodes) 101.557 * * [simplify]: iters left: 5 (64 enodes) 101.577 * * [simplify]: iters left: 4 (103 enodes) 101.607 * * [simplify]: iters left: 3 (171 enodes) 101.659 * * [simplify]: iters left: 2 (340 enodes) 101.796 * * [simplify]: Extracting #0: cost 1 inf + 0 101.796 * * [simplify]: Extracting #1: cost 60 inf + 0 101.797 * * [simplify]: Extracting #2: cost 174 inf + 0 101.798 * * [simplify]: Extracting #3: cost 246 inf + 2 101.799 * * [simplify]: Extracting #4: cost 260 inf + 1203 101.802 * * [simplify]: Extracting #5: cost 199 inf + 20924 101.816 * * [simplify]: Extracting #6: cost 33 inf + 159830 101.853 * * [simplify]: Extracting #7: cost 0 inf + 190335 101.900 * * [simplify]: Extracting #8: cost 0 inf + 189156 101.943 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 101.943 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 101.944 * * * * [progress]: [ 171 / 471 ] simplifiying candidate # 101.944 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 101.944 * * [simplify]: iters left: 6 (18 enodes) 101.954 * * [simplify]: iters left: 5 (72 enodes) 101.978 * * [simplify]: iters left: 4 (121 enodes) 102.018 * * [simplify]: iters left: 3 (231 enodes) 102.122 * * [simplify]: Extracting #0: cost 1 inf + 0 102.123 * * [simplify]: Extracting #1: cost 45 inf + 0 102.123 * * [simplify]: Extracting #2: cost 117 inf + 0 102.124 * * [simplify]: Extracting #3: cost 165 inf + 0 102.125 * * [simplify]: Extracting #4: cost 164 inf + 589 102.129 * * [simplify]: Extracting #5: cost 112 inf + 14076 102.147 * * [simplify]: Extracting #6: cost 24 inf + 81377 102.174 * * [simplify]: Extracting #7: cost 1 inf + 101847 102.204 * * [simplify]: Extracting #8: cost 0 inf + 102393 102.222 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 102.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 102.223 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 102.223 * * [simplify]: iters left: 6 (16 enodes) 102.227 * * [simplify]: iters left: 5 (64 enodes) 102.239 * * [simplify]: iters left: 4 (104 enodes) 102.255 * * [simplify]: iters left: 3 (172 enodes) 102.310 * * [simplify]: iters left: 2 (342 enodes) 102.415 * * [simplify]: Extracting #0: cost 1 inf + 0 102.416 * * [simplify]: Extracting #1: cost 60 inf + 0 102.416 * * [simplify]: Extracting #2: cost 174 inf + 0 102.417 * * [simplify]: Extracting #3: cost 250 inf + 2 102.418 * * [simplify]: Extracting #4: cost 253 inf + 3141 102.423 * * [simplify]: Extracting #5: cost 157 inf + 51261 102.456 * * [simplify]: Extracting #6: cost 16 inf + 175503 102.496 * * [simplify]: Extracting #7: cost 0 inf + 185355 102.526 * * [simplify]: Extracting #8: cost 0 inf + 185104 102.569 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))) 102.569 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 102.569 * * * * [progress]: [ 172 / 471 ] simplifiying candidate # 102.569 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 102.570 * * [simplify]: iters left: 6 (14 enodes) 102.577 * * [simplify]: iters left: 5 (55 enodes) 102.596 * * [simplify]: iters left: 4 (97 enodes) 102.626 * * [simplify]: iters left: 3 (169 enodes) 102.665 * * [simplify]: iters left: 2 (346 enodes) 102.836 * * [simplify]: Extracting #0: cost 1 inf + 0 102.836 * * [simplify]: Extracting #1: cost 70 inf + 0 102.838 * * [simplify]: Extracting #2: cost 200 inf + 1 102.845 * * [simplify]: Extracting #3: cost 277 inf + 3 102.848 * * [simplify]: Extracting #4: cost 266 inf + 1738 102.855 * * [simplify]: Extracting #5: cost 192 inf + 25587 102.883 * * [simplify]: Extracting #6: cost 47 inf + 135468 102.925 * * [simplify]: Extracting #7: cost 1 inf + 173255 102.954 * * [simplify]: Extracting #8: cost 0 inf + 171664 102.982 * [simplify]: Simplified to (/ (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 102.982 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 102.983 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 102.983 * * [simplify]: iters left: 6 (15 enodes) 102.993 * * [simplify]: iters left: 5 (61 enodes) 103.014 * * [simplify]: iters left: 4 (104 enodes) 103.048 * * [simplify]: iters left: 3 (197 enodes) 103.098 * * [simplify]: Extracting #0: cost 1 inf + 0 103.098 * * [simplify]: Extracting #1: cost 38 inf + 0 103.099 * * [simplify]: Extracting #2: cost 129 inf + 0 103.099 * * [simplify]: Extracting #3: cost 167 inf + 1 103.100 * * [simplify]: Extracting #4: cost 154 inf + 1331 103.102 * * [simplify]: Extracting #5: cost 108 inf + 15940 103.109 * * [simplify]: Extracting #6: cost 30 inf + 69987 103.122 * * [simplify]: Extracting #7: cost 0 inf + 94753 103.143 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 103.143 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 103.143 * * * * [progress]: [ 173 / 471 ] simplifiying candidate # 103.144 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 103.144 * * [simplify]: iters left: 6 (18 enodes) 103.155 * * [simplify]: iters left: 5 (75 enodes) 103.180 * * [simplify]: iters left: 4 (134 enodes) 103.233 * * [simplify]: iters left: 3 (313 enodes) 103.431 * * [simplify]: Extracting #0: cost 1 inf + 0 103.431 * * [simplify]: Extracting #1: cost 76 inf + 0 103.433 * * [simplify]: Extracting #2: cost 251 inf + 0 103.435 * * [simplify]: Extracting #3: cost 301 inf + 1 103.438 * * [simplify]: Extracting #4: cost 284 inf + 1905 103.446 * * [simplify]: Extracting #5: cost 213 inf + 26751 103.479 * * [simplify]: Extracting #6: cost 72 inf + 135375 103.507 * * [simplify]: Extracting #7: cost 0 inf + 203081 103.547 * * [simplify]: Extracting #8: cost 0 inf + 201845 103.583 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) 103.583 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 103.584 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 103.584 * * [simplify]: iters left: 6 (16 enodes) 103.588 * * [simplify]: iters left: 5 (67 enodes) 103.614 * * [simplify]: iters left: 4 (114 enodes) 103.654 * * [simplify]: iters left: 3 (221 enodes) 103.754 * * [simplify]: Extracting #0: cost 1 inf + 0 103.754 * * [simplify]: Extracting #1: cost 38 inf + 0 103.755 * * [simplify]: Extracting #2: cost 127 inf + 0 103.755 * * [simplify]: Extracting #3: cost 175 inf + 1 103.757 * * [simplify]: Extracting #4: cost 160 inf + 1292 103.762 * * [simplify]: Extracting #5: cost 110 inf + 14735 103.775 * * [simplify]: Extracting #6: cost 27 inf + 68647 103.792 * * [simplify]: Extracting #7: cost 0 inf + 90748 103.802 * * [simplify]: Extracting #8: cost 0 inf + 90192 103.812 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 103.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 103.812 * * * * [progress]: [ 174 / 471 ] simplifiying candidate # 103.812 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 103.812 * * [simplify]: iters left: 6 (15 enodes) 103.817 * * [simplify]: iters left: 5 (61 enodes) 103.827 * * [simplify]: iters left: 4 (104 enodes) 103.864 * * [simplify]: iters left: 3 (197 enodes) 103.911 * * [simplify]: Extracting #0: cost 1 inf + 0 103.911 * * [simplify]: Extracting #1: cost 38 inf + 0 103.912 * * [simplify]: Extracting #2: cost 130 inf + 0 103.913 * * [simplify]: Extracting #3: cost 165 inf + 2 103.914 * * [simplify]: Extracting #4: cost 163 inf + 215 103.917 * * [simplify]: Extracting #5: cost 116 inf + 11964 103.930 * * [simplify]: Extracting #6: cost 31 inf + 70084 103.950 * * [simplify]: Extracting #7: cost 0 inf + 94235 103.963 * * [simplify]: Extracting #8: cost 0 inf + 93575 103.974 * [simplify]: Simplified to (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) 103.974 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 103.974 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 103.974 * * [simplify]: iters left: 6 (14 enodes) 103.979 * * [simplify]: iters left: 5 (57 enodes) 103.997 * * [simplify]: iters left: 4 (100 enodes) 104.014 * * [simplify]: iters left: 3 (189 enodes) 104.092 * * [simplify]: Extracting #0: cost 1 inf + 0 104.092 * * [simplify]: Extracting #1: cost 38 inf + 0 104.092 * * [simplify]: Extracting #2: cost 129 inf + 0 104.093 * * [simplify]: Extracting #3: cost 165 inf + 2 104.095 * * [simplify]: Extracting #4: cost 153 inf + 958 104.098 * * [simplify]: Extracting #5: cost 98 inf + 17684 104.112 * * [simplify]: Extracting #6: cost 31 inf + 65700 104.133 * * [simplify]: Extracting #7: cost 1 inf + 88912 104.153 * * [simplify]: Extracting #8: cost 0 inf + 89252 104.169 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 104.169 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 104.169 * * * * [progress]: [ 175 / 471 ] simplifiying candidate # 104.169 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 104.169 * * [simplify]: iters left: 6 (19 enodes) 104.174 * * [simplify]: iters left: 5 (76 enodes) 104.190 * * [simplify]: iters left: 4 (117 enodes) 104.225 * * [simplify]: iters left: 3 (201 enodes) 104.296 * * [simplify]: iters left: 2 (451 enodes) 104.487 * * [simplify]: Extracting #0: cost 1 inf + 0 104.487 * * [simplify]: Extracting #1: cost 87 inf + 0 104.489 * * [simplify]: Extracting #2: cost 279 inf + 0 104.490 * * [simplify]: Extracting #3: cost 378 inf + 2 104.492 * * [simplify]: Extracting #4: cost 382 inf + 2563 104.499 * * [simplify]: Extracting #5: cost 269 inf + 71646 104.547 * * [simplify]: Extracting #6: cost 46 inf + 276626 104.587 * * [simplify]: Extracting #7: cost 0 inf + 315582 104.644 * * [simplify]: Extracting #8: cost 0 inf + 315069 104.714 * [simplify]: Simplified to (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (fabs (cbrt k))) 104.714 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 104.714 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 104.715 * * [simplify]: iters left: 6 (16 enodes) 104.719 * * [simplify]: iters left: 5 (64 enodes) 104.730 * * [simplify]: iters left: 4 (103 enodes) 104.748 * * [simplify]: iters left: 3 (171 enodes) 104.786 * * [simplify]: iters left: 2 (340 enodes) 104.912 * * [simplify]: Extracting #0: cost 1 inf + 0 104.913 * * [simplify]: Extracting #1: cost 60 inf + 0 104.914 * * [simplify]: Extracting #2: cost 174 inf + 0 104.915 * * [simplify]: Extracting #3: cost 246 inf + 2 104.917 * * [simplify]: Extracting #4: cost 260 inf + 1283 104.923 * * [simplify]: Extracting #5: cost 199 inf + 21004 104.952 * * [simplify]: Extracting #6: cost 33 inf + 159910 104.995 * * [simplify]: Extracting #7: cost 0 inf + 190415 105.042 * * [simplify]: Extracting #8: cost 0 inf + 189236 105.063 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 105.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 105.064 * * * * [progress]: [ 176 / 471 ] simplifiying candidate # 105.064 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 105.064 * * [simplify]: iters left: 6 (18 enodes) 105.069 * * [simplify]: iters left: 5 (71 enodes) 105.088 * * [simplify]: iters left: 4 (107 enodes) 105.123 * * [simplify]: iters left: 3 (180 enodes) 105.192 * * [simplify]: iters left: 2 (369 enodes) 105.284 * * [simplify]: Extracting #0: cost 1 inf + 0 105.285 * * [simplify]: Extracting #1: cost 60 inf + 0 105.285 * * [simplify]: Extracting #2: cost 174 inf + 0 105.287 * * [simplify]: Extracting #3: cost 254 inf + 2 105.289 * * [simplify]: Extracting #4: cost 261 inf + 1860 105.294 * * [simplify]: Extracting #5: cost 211 inf + 12603 105.308 * * [simplify]: Extracting #6: cost 127 inf + 70017 105.345 * * [simplify]: Extracting #7: cost 18 inf + 168009 105.396 * * [simplify]: Extracting #8: cost 0 inf + 186218 105.442 * * [simplify]: Extracting #9: cost 0 inf + 186087 105.488 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))))) 105.489 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 105.489 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 105.489 * * [simplify]: iters left: 6 (16 enodes) 105.495 * * [simplify]: iters left: 5 (64 enodes) 105.506 * * [simplify]: iters left: 4 (104 enodes) 105.526 * * [simplify]: iters left: 3 (172 enodes) 105.583 * * [simplify]: iters left: 2 (342 enodes) 105.715 * * [simplify]: Extracting #0: cost 1 inf + 0 105.716 * * [simplify]: Extracting #1: cost 60 inf + 0 105.717 * * [simplify]: Extracting #2: cost 174 inf + 0 105.718 * * [simplify]: Extracting #3: cost 250 inf + 2 105.721 * * [simplify]: Extracting #4: cost 253 inf + 3181 105.731 * * [simplify]: Extracting #5: cost 157 inf + 51341 105.772 * * [simplify]: Extracting #6: cost 16 inf + 175583 105.815 * * [simplify]: Extracting #7: cost 0 inf + 185435 105.858 * * [simplify]: Extracting #8: cost 0 inf + 185184 105.900 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))) 105.900 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 105.901 * * * * [progress]: [ 177 / 471 ] simplifiying candidate # 105.901 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 105.901 * * [simplify]: iters left: 6 (14 enodes) 105.909 * * [simplify]: iters left: 5 (53 enodes) 105.928 * * [simplify]: iters left: 4 (82 enodes) 105.943 * * [simplify]: iters left: 3 (123 enodes) 105.971 * * [simplify]: iters left: 2 (213 enodes) 106.033 * * [simplify]: iters left: 1 (415 enodes) 106.199 * * [simplify]: Extracting #0: cost 1 inf + 0 106.199 * * [simplify]: Extracting #1: cost 38 inf + 0 106.200 * * [simplify]: Extracting #2: cost 111 inf + 1 106.201 * * [simplify]: Extracting #3: cost 181 inf + 4 106.203 * * [simplify]: Extracting #4: cost 168 inf + 1990 106.208 * * [simplify]: Extracting #5: cost 105 inf + 13801 106.225 * * [simplify]: Extracting #6: cost 30 inf + 64013 106.253 * * [simplify]: Extracting #7: cost 0 inf + 94236 106.273 * * [simplify]: Extracting #8: cost 0 inf + 92982 106.287 * * [simplify]: Extracting #9: cost 0 inf + 92731 106.310 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) 106.310 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 106.311 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 106.311 * * [simplify]: iters left: 6 (15 enodes) 106.323 * * [simplify]: iters left: 5 (61 enodes) 106.337 * * [simplify]: iters left: 4 (104 enodes) 106.355 * * [simplify]: iters left: 3 (197 enodes) 106.425 * * [simplify]: Extracting #0: cost 1 inf + 0 106.425 * * [simplify]: Extracting #1: cost 38 inf + 0 106.426 * * [simplify]: Extracting #2: cost 129 inf + 0 106.426 * * [simplify]: Extracting #3: cost 167 inf + 1 106.427 * * [simplify]: Extracting #4: cost 154 inf + 1371 106.429 * * [simplify]: Extracting #5: cost 108 inf + 16020 106.436 * * [simplify]: Extracting #6: cost 30 inf + 70067 106.446 * * [simplify]: Extracting #7: cost 0 inf + 94833 106.459 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 106.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 106.459 * * * * [progress]: [ 178 / 471 ] simplifiying candidate # 106.460 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 106.460 * * [simplify]: iters left: 6 (18 enodes) 106.465 * * [simplify]: iters left: 5 (74 enodes) 106.478 * * [simplify]: iters left: 4 (124 enodes) 106.510 * * [simplify]: iters left: 3 (234 enodes) 106.566 * * [simplify]: Extracting #0: cost 1 inf + 0 106.566 * * [simplify]: Extracting #1: cost 38 inf + 0 106.567 * * [simplify]: Extracting #2: cost 130 inf + 0 106.568 * * [simplify]: Extracting #3: cost 178 inf + 1 106.569 * * [simplify]: Extracting #4: cost 173 inf + 343 106.572 * * [simplify]: Extracting #5: cost 119 inf + 9997 106.587 * * [simplify]: Extracting #6: cost 35 inf + 65990 106.613 * * [simplify]: Extracting #7: cost 1 inf + 95920 106.636 * * [simplify]: Extracting #8: cost 0 inf + 96411 106.659 * * [simplify]: Extracting #9: cost 0 inf + 96279 106.683 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k)))) 106.683 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 106.683 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 106.684 * * [simplify]: iters left: 6 (16 enodes) 106.693 * * [simplify]: iters left: 5 (67 enodes) 106.716 * * [simplify]: iters left: 4 (114 enodes) 106.746 * * [simplify]: iters left: 3 (221 enodes) 106.796 * * [simplify]: Extracting #0: cost 1 inf + 0 106.796 * * [simplify]: Extracting #1: cost 38 inf + 0 106.796 * * [simplify]: Extracting #2: cost 127 inf + 0 106.797 * * [simplify]: Extracting #3: cost 175 inf + 1 106.798 * * [simplify]: Extracting #4: cost 160 inf + 1332 106.802 * * [simplify]: Extracting #5: cost 110 inf + 14815 106.816 * * [simplify]: Extracting #6: cost 27 inf + 68727 106.836 * * [simplify]: Extracting #7: cost 0 inf + 90828 106.856 * * [simplify]: Extracting #8: cost 0 inf + 90272 106.880 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 106.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 106.880 * * * * [progress]: [ 179 / 471 ] simplifiying candidate # 106.881 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 106.881 * * [simplify]: iters left: 6 (14 enodes) 106.889 * * [simplify]: iters left: 5 (57 enodes) 106.909 * * [simplify]: iters left: 4 (100 enodes) 106.942 * * [simplify]: iters left: 3 (189 enodes) 107.001 * * [simplify]: Extracting #0: cost 1 inf + 0 107.001 * * [simplify]: Extracting #1: cost 38 inf + 0 107.001 * * [simplify]: Extracting #2: cost 129 inf + 0 107.002 * * [simplify]: Extracting #3: cost 164 inf + 2 107.002 * * [simplify]: Extracting #4: cost 157 inf + 465 107.004 * * [simplify]: Extracting #5: cost 101 inf + 16085 107.012 * * [simplify]: Extracting #6: cost 21 inf + 72263 107.032 * * [simplify]: Extracting #7: cost 0 inf + 90392 107.043 * * [simplify]: Extracting #8: cost 0 inf + 90351 107.055 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 107.055 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 107.055 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 107.056 * * [simplify]: iters left: 6 (14 enodes) 107.062 * * [simplify]: iters left: 5 (57 enodes) 107.077 * * [simplify]: iters left: 4 (100 enodes) 107.096 * * [simplify]: iters left: 3 (189 enodes) 107.169 * * [simplify]: Extracting #0: cost 1 inf + 0 107.169 * * [simplify]: Extracting #1: cost 38 inf + 0 107.169 * * [simplify]: Extracting #2: cost 129 inf + 0 107.170 * * [simplify]: Extracting #3: cost 165 inf + 2 107.170 * * [simplify]: Extracting #4: cost 153 inf + 878 107.172 * * [simplify]: Extracting #5: cost 98 inf + 17124 107.179 * * [simplify]: Extracting #6: cost 31 inf + 63860 107.198 * * [simplify]: Extracting #7: cost 1 inf + 86352 107.214 * * [simplify]: Extracting #8: cost 0 inf + 86652 107.223 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 107.223 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 107.224 * * * * [progress]: [ 180 / 471 ] simplifiying candidate # 107.224 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 107.224 * * [simplify]: iters left: 6 (18 enodes) 107.229 * * [simplify]: iters left: 5 (72 enodes) 107.241 * * [simplify]: iters left: 4 (117 enodes) 107.261 * * [simplify]: iters left: 3 (203 enodes) 107.306 * * [simplify]: iters left: 2 (440 enodes) 107.516 * * [simplify]: Extracting #0: cost 1 inf + 0 107.516 * * [simplify]: Extracting #1: cost 91 inf + 0 107.517 * * [simplify]: Extracting #2: cost 291 inf + 0 107.519 * * [simplify]: Extracting #3: cost 384 inf + 2 107.521 * * [simplify]: Extracting #4: cost 393 inf + 2074 107.528 * * [simplify]: Extracting #5: cost 330 inf + 25312 107.566 * * [simplify]: Extracting #6: cost 135 inf + 187613 107.644 * * [simplify]: Extracting #7: cost 3 inf + 321766 107.706 * * [simplify]: Extracting #8: cost 0 inf + 322434 107.761 * * [simplify]: Extracting #9: cost 0 inf + 321557 107.812 * * [simplify]: Extracting #10: cost 0 inf + 321346 107.892 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 107.892 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 107.893 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 107.893 * * [simplify]: iters left: 6 (16 enodes) 107.902 * * [simplify]: iters left: 5 (64 enodes) 107.924 * * [simplify]: iters left: 4 (103 enodes) 107.959 * * [simplify]: iters left: 3 (171 enodes) 107.991 * * [simplify]: iters left: 2 (340 enodes) 108.120 * * [simplify]: Extracting #0: cost 1 inf + 0 108.120 * * [simplify]: Extracting #1: cost 60 inf + 0 108.121 * * [simplify]: Extracting #2: cost 174 inf + 0 108.122 * * [simplify]: Extracting #3: cost 246 inf + 2 108.123 * * [simplify]: Extracting #4: cost 260 inf + 1123 108.126 * * [simplify]: Extracting #5: cost 199 inf + 20444 108.154 * * [simplify]: Extracting #6: cost 33 inf + 156430 108.199 * * [simplify]: Extracting #7: cost 0 inf + 186455 108.240 * * [simplify]: Extracting #8: cost 0 inf + 185276 108.280 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 108.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 108.280 * * * * [progress]: [ 181 / 471 ] simplifiying candidate # 108.280 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 108.281 * * [simplify]: iters left: 6 (17 enodes) 108.285 * * [simplify]: iters left: 5 (67 enodes) 108.297 * * [simplify]: iters left: 4 (107 enodes) 108.330 * * [simplify]: iters left: 3 (179 enodes) 108.386 * * [simplify]: iters left: 2 (349 enodes) 108.497 * * [simplify]: Extracting #0: cost 1 inf + 0 108.497 * * [simplify]: Extracting #1: cost 60 inf + 0 108.497 * * [simplify]: Extracting #2: cost 174 inf + 0 108.498 * * [simplify]: Extracting #3: cost 248 inf + 2 108.499 * * [simplify]: Extracting #4: cost 258 inf + 1823 108.502 * * [simplify]: Extracting #5: cost 219 inf + 7015 108.508 * * [simplify]: Extracting #6: cost 138 inf + 57225 108.531 * * [simplify]: Extracting #7: cost 10 inf + 177495 108.563 * * [simplify]: Extracting #8: cost 0 inf + 184422 108.596 * * [simplify]: Extracting #9: cost 0 inf + 184160 108.636 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 108.636 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 108.636 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 108.636 * * [simplify]: iters left: 6 (16 enodes) 108.641 * * [simplify]: iters left: 5 (64 enodes) 108.654 * * [simplify]: iters left: 4 (104 enodes) 108.679 * * [simplify]: iters left: 3 (172 enodes) 108.718 * * [simplify]: iters left: 2 (342 enodes) 108.816 * * [simplify]: Extracting #0: cost 1 inf + 0 108.816 * * [simplify]: Extracting #1: cost 60 inf + 0 108.817 * * [simplify]: Extracting #2: cost 174 inf + 0 108.819 * * [simplify]: Extracting #3: cost 250 inf + 2 108.821 * * [simplify]: Extracting #4: cost 253 inf + 3061 108.835 * * [simplify]: Extracting #5: cost 157 inf + 50341 108.860 * * [simplify]: Extracting #6: cost 16 inf + 171863 108.886 * * [simplify]: Extracting #7: cost 0 inf + 181475 108.928 * * [simplify]: Extracting #8: cost 0 inf + 181224 108.960 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 108.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 108.961 * * * * [progress]: [ 182 / 471 ] simplifiying candidate # 108.961 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 108.961 * * [simplify]: iters left: 6 (13 enodes) 108.965 * * [simplify]: iters left: 5 (50 enodes) 108.973 * * [simplify]: iters left: 4 (79 enodes) 108.990 * * [simplify]: iters left: 3 (121 enodes) 109.021 * * [simplify]: iters left: 2 (224 enodes) 109.085 * * [simplify]: iters left: 1 (494 enodes) 109.321 * * [simplify]: Extracting #0: cost 1 inf + 0 109.321 * * [simplify]: Extracting #1: cost 54 inf + 0 109.322 * * [simplify]: Extracting #2: cost 160 inf + 1 109.323 * * [simplify]: Extracting #3: cost 230 inf + 4 109.324 * * [simplify]: Extracting #4: cost 226 inf + 1335 109.328 * * [simplify]: Extracting #5: cost 148 inf + 21607 109.343 * * [simplify]: Extracting #6: cost 31 inf + 108355 109.375 * * [simplify]: Extracting #7: cost 0 inf + 135204 109.405 * * [simplify]: Extracting #8: cost 0 inf + 134583 109.440 * * [simplify]: Extracting #9: cost 0 inf + 133845 109.469 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 109.469 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 109.469 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 109.470 * * [simplify]: iters left: 6 (15 enodes) 109.478 * * [simplify]: iters left: 5 (61 enodes) 109.498 * * [simplify]: iters left: 4 (104 enodes) 109.517 * * [simplify]: iters left: 3 (197 enodes) 109.577 * * [simplify]: Extracting #0: cost 1 inf + 0 109.577 * * [simplify]: Extracting #1: cost 38 inf + 0 109.577 * * [simplify]: Extracting #2: cost 129 inf + 0 109.578 * * [simplify]: Extracting #3: cost 167 inf + 1 109.579 * * [simplify]: Extracting #4: cost 154 inf + 1291 109.581 * * [simplify]: Extracting #5: cost 108 inf + 15540 109.590 * * [simplify]: Extracting #6: cost 30 inf + 68147 109.607 * * [simplify]: Extracting #7: cost 0 inf + 92233 109.617 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 109.618 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 109.618 * * * * [progress]: [ 183 / 471 ] simplifiying candidate # 109.618 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 109.618 * * [simplify]: iters left: 6 (17 enodes) 109.623 * * [simplify]: iters left: 5 (70 enodes) 109.639 * * [simplify]: iters left: 4 (117 enodes) 109.663 * * [simplify]: iters left: 3 (224 enodes) 109.735 * * [simplify]: Extracting #0: cost 1 inf + 0 109.735 * * [simplify]: Extracting #1: cost 38 inf + 0 109.736 * * [simplify]: Extracting #2: cost 131 inf + 0 109.736 * * [simplify]: Extracting #3: cost 179 inf + 1 109.737 * * [simplify]: Extracting #4: cost 172 inf + 428 109.739 * * [simplify]: Extracting #5: cost 120 inf + 13617 109.752 * * [simplify]: Extracting #6: cost 34 inf + 68131 109.775 * * [simplify]: Extracting #7: cost 1 inf + 96066 109.799 * * [simplify]: Extracting #8: cost 0 inf + 95938 109.826 * * [simplify]: Extracting #9: cost 0 inf + 95806 109.848 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 109.849 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 109.849 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 109.849 * * [simplify]: iters left: 6 (16 enodes) 109.857 * * [simplify]: iters left: 5 (67 enodes) 109.877 * * [simplify]: iters left: 4 (114 enodes) 109.898 * * [simplify]: iters left: 3 (221 enodes) 109.955 * * [simplify]: Extracting #0: cost 1 inf + 0 109.955 * * [simplify]: Extracting #1: cost 38 inf + 0 109.956 * * [simplify]: Extracting #2: cost 127 inf + 0 109.956 * * [simplify]: Extracting #3: cost 175 inf + 1 109.957 * * [simplify]: Extracting #4: cost 160 inf + 1252 109.959 * * [simplify]: Extracting #5: cost 110 inf + 14335 109.967 * * [simplify]: Extracting #6: cost 27 inf + 66727 109.984 * * [simplify]: Extracting #7: cost 0 inf + 88228 109.994 * * [simplify]: Extracting #8: cost 0 inf + 87672 110.004 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 110.004 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 110.004 * * * * [progress]: [ 184 / 471 ] simplifiying candidate # 110.004 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 110.004 * * [simplify]: iters left: 6 (13 enodes) 110.009 * * [simplify]: iters left: 5 (54 enodes) 110.027 * * [simplify]: iters left: 4 (92 enodes) 110.054 * * [simplify]: iters left: 3 (172 enodes) 110.092 * * [simplify]: iters left: 2 (454 enodes) 110.373 * * [simplify]: Extracting #0: cost 1 inf + 0 110.373 * * [simplify]: Extracting #1: cost 123 inf + 0 110.382 * * [simplify]: Extracting #2: cost 443 inf + 1 110.385 * * [simplify]: Extracting #3: cost 506 inf + 4 110.389 * * [simplify]: Extracting #4: cost 515 inf + 10 110.395 * * [simplify]: Extracting #5: cost 464 inf + 12421 110.409 * * [simplify]: Extracting #6: cost 368 inf + 61526 110.443 * * [simplify]: Extracting #7: cost 78 inf + 310343 110.539 * * [simplify]: Extracting #8: cost 3 inf + 376020 110.639 * * [simplify]: Extracting #9: cost 0 inf + 376173 110.740 * * [simplify]: Extracting #10: cost 0 inf + 376042 110.815 * [simplify]: Simplified to (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 110.815 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 110.816 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 110.816 * * [simplify]: iters left: 6 (13 enodes) 110.823 * * [simplify]: iters left: 5 (54 enodes) 110.842 * * [simplify]: iters left: 4 (97 enodes) 110.879 * * [simplify]: iters left: 3 (190 enodes) 110.965 * * [simplify]: Extracting #0: cost 1 inf + 0 110.965 * * [simplify]: Extracting #1: cost 38 inf + 0 110.966 * * [simplify]: Extracting #2: cost 129 inf + 0 110.967 * * [simplify]: Extracting #3: cost 160 inf + 44 110.968 * * [simplify]: Extracting #4: cost 149 inf + 1376 110.972 * * [simplify]: Extracting #5: cost 105 inf + 15281 110.984 * * [simplify]: Extracting #6: cost 27 inf + 64747 111.003 * * [simplify]: Extracting #7: cost 0 inf + 84880 111.023 * * [simplify]: Extracting #8: cost 0 inf + 84226 111.042 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 111.042 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 111.042 * * * * [progress]: [ 185 / 471 ] simplifiying candidate # 111.043 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 111.043 * * [simplify]: iters left: 6 (17 enodes) 111.053 * * [simplify]: iters left: 5 (69 enodes) 111.076 * * [simplify]: iters left: 4 (112 enodes) 111.113 * * [simplify]: iters left: 3 (194 enodes) 111.162 * * [simplify]: iters left: 2 (423 enodes) 111.455 * * [simplify]: Extracting #0: cost 1 inf + 0 111.455 * * [simplify]: Extracting #1: cost 86 inf + 0 111.456 * * [simplify]: Extracting #2: cost 259 inf + 1 111.458 * * [simplify]: Extracting #3: cost 327 inf + 3 111.460 * * [simplify]: Extracting #4: cost 361 inf + 10 111.467 * * [simplify]: Extracting #5: cost 279 inf + 33497 111.487 * * [simplify]: Extracting #6: cost 151 inf + 121299 111.530 * * [simplify]: Extracting #7: cost 18 inf + 247119 111.580 * * [simplify]: Extracting #8: cost 0 inf + 261702 111.644 * * [simplify]: Extracting #9: cost 0 inf + 261456 111.692 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 111.692 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 111.692 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 111.693 * * [simplify]: iters left: 6 (15 enodes) 111.701 * * [simplify]: iters left: 5 (61 enodes) 111.721 * * [simplify]: iters left: 4 (100 enodes) 111.756 * * [simplify]: iters left: 3 (172 enodes) 111.796 * * [simplify]: iters left: 2 (347 enodes) 111.893 * * [simplify]: Extracting #0: cost 1 inf + 0 111.893 * * [simplify]: Extracting #1: cost 60 inf + 0 111.894 * * [simplify]: Extracting #2: cost 175 inf + 0 111.895 * * [simplify]: Extracting #3: cost 242 inf + 44 111.898 * * [simplify]: Extracting #4: cost 241 inf + 5647 111.905 * * [simplify]: Extracting #5: cost 170 inf + 35018 111.921 * * [simplify]: Extracting #6: cost 84 inf + 91486 111.956 * * [simplify]: Extracting #7: cost 5 inf + 170656 111.991 * * [simplify]: Extracting #8: cost 0 inf + 175075 112.014 * * [simplify]: Extracting #9: cost 0 inf + 174823 112.038 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 112.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 112.038 * * * * [progress]: [ 186 / 471 ] simplifiying candidate # 112.038 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 112.039 * * [simplify]: iters left: 6 (16 enodes) 112.052 * * [simplify]: iters left: 5 (64 enodes) 112.071 * * [simplify]: iters left: 4 (99 enodes) 112.088 * * [simplify]: iters left: 3 (157 enodes) 112.126 * * [simplify]: iters left: 2 (313 enodes) 112.239 * * [simplify]: Extracting #0: cost 1 inf + 0 112.239 * * [simplify]: Extracting #1: cost 53 inf + 0 112.240 * * [simplify]: Extracting #2: cost 144 inf + 1 112.241 * * [simplify]: Extracting #3: cost 204 inf + 3 112.578 * * [simplify]: Extracting #4: cost 238 inf + 10 112.582 * * [simplify]: Extracting #5: cost 192 inf + 13738 112.591 * * [simplify]: Extracting #6: cost 101 inf + 62107 112.607 * * [simplify]: Extracting #7: cost 25 inf + 123629 112.628 * * [simplify]: Extracting #8: cost 0 inf + 143031 112.648 * * [simplify]: Extracting #9: cost 0 inf + 142826 112.669 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 112.669 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 112.669 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 112.669 * * [simplify]: iters left: 6 (15 enodes) 112.678 * * [simplify]: iters left: 5 (61 enodes) 112.698 * * [simplify]: iters left: 4 (101 enodes) 112.731 * * [simplify]: iters left: 3 (173 enodes) 112.792 * * [simplify]: iters left: 2 (344 enodes) 112.922 * * [simplify]: Extracting #0: cost 1 inf + 0 112.922 * * [simplify]: Extracting #1: cost 60 inf + 0 112.923 * * [simplify]: Extracting #2: cost 171 inf + 0 112.926 * * [simplify]: Extracting #3: cost 243 inf + 44 112.927 * * [simplify]: Extracting #4: cost 238 inf + 6350 112.934 * * [simplify]: Extracting #5: cost 118 inf + 70379 112.953 * * [simplify]: Extracting #6: cost 16 inf + 151655 112.978 * * [simplify]: Extracting #7: cost 0 inf + 166690 113.005 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))) 113.005 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))))) 113.006 * * * * [progress]: [ 187 / 471 ] simplifiying candidate # 113.006 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 113.006 * * [simplify]: iters left: 6 (12 enodes) 113.015 * * [simplify]: iters left: 5 (47 enodes) 113.030 * * [simplify]: iters left: 4 (68 enodes) 113.054 * * [simplify]: iters left: 3 (109 enodes) 113.075 * * [simplify]: iters left: 2 (212 enodes) 113.129 * * [simplify]: iters left: 1 (440 enodes) 113.363 * * [simplify]: Extracting #0: cost 1 inf + 0 113.367 * * [simplify]: Extracting #1: cost 60 inf + 0 113.367 * * [simplify]: Extracting #2: cost 167 inf + 2 113.368 * * [simplify]: Extracting #3: cost 234 inf + 7 113.370 * * [simplify]: Extracting #4: cost 225 inf + 470 113.375 * * [simplify]: Extracting #5: cost 150 inf + 11872 113.394 * * [simplify]: Extracting #6: cost 41 inf + 83337 113.414 * * [simplify]: Extracting #7: cost 0 inf + 116906 113.433 * * [simplify]: Extracting #8: cost 0 inf + 115705 113.468 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 113.468 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 113.468 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 113.468 * * [simplify]: iters left: 6 (14 enodes) 113.473 * * [simplify]: iters left: 5 (58 enodes) 113.483 * * [simplify]: iters left: 4 (101 enodes) 113.502 * * [simplify]: iters left: 3 (190 enodes) 113.554 * * [simplify]: iters left: 2 (495 enodes) 113.806 * * [simplify]: Extracting #0: cost 1 inf + 0 113.806 * * [simplify]: Extracting #1: cost 119 inf + 0 113.807 * * [simplify]: Extracting #2: cost 501 inf + 0 113.810 * * [simplify]: Extracting #3: cost 600 inf + 85 113.813 * * [simplify]: Extracting #4: cost 585 inf + 3772 113.817 * * [simplify]: Extracting #5: cost 526 inf + 20740 113.860 * * [simplify]: Extracting #6: cost 188 inf + 288631 113.927 * * [simplify]: Extracting #7: cost 13 inf + 449126 113.984 * * [simplify]: Extracting #8: cost 0 inf + 455831 114.084 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 114.084 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 114.084 * * * * [progress]: [ 188 / 471 ] simplifiying candidate # 114.085 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 114.085 * * [simplify]: iters left: 6 (16 enodes) 114.095 * * [simplify]: iters left: 5 (67 enodes) 114.113 * * [simplify]: iters left: 4 (109 enodes) 114.132 * * [simplify]: iters left: 3 (203 enodes) 114.194 * * [simplify]: iters left: 2 (499 enodes) 114.522 * * [simplify]: Extracting #0: cost 1 inf + 0 114.522 * * [simplify]: Extracting #1: cost 124 inf + 0 114.524 * * [simplify]: Extracting #2: cost 410 inf + 1 114.526 * * [simplify]: Extracting #3: cost 476 inf + 3 114.528 * * [simplify]: Extracting #4: cost 482 inf + 56 114.531 * * [simplify]: Extracting #5: cost 470 inf + 962 114.538 * * [simplify]: Extracting #6: cost 356 inf + 50245 114.580 * * [simplify]: Extracting #7: cost 68 inf + 296295 114.640 * * [simplify]: Extracting #8: cost 0 inf + 357465 114.721 * * [simplify]: Extracting #9: cost 0 inf + 355492 114.790 * * [simplify]: Extracting #10: cost 0 inf + 354950 114.850 * [simplify]: Simplified to (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) 114.850 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (pow (* (cbrt n) (cbrt n)) (- 1/4 (/ k 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 114.850 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 114.850 * * [simplify]: iters left: 6 (15 enodes) 114.855 * * [simplify]: iters left: 5 (64 enodes) 114.874 * * [simplify]: iters left: 4 (111 enodes) 114.894 * * [simplify]: iters left: 3 (218 enodes) 114.960 * * [simplify]: Extracting #0: cost 1 inf + 0 114.960 * * [simplify]: Extracting #1: cost 38 inf + 0 114.961 * * [simplify]: Extracting #2: cost 127 inf + 0 114.962 * * [simplify]: Extracting #3: cost 169 inf + 84 114.963 * * [simplify]: Extracting #4: cost 157 inf + 1584 114.968 * * [simplify]: Extracting #5: cost 98 inf + 21193 114.979 * * [simplify]: Extracting #6: cost 21 inf + 69554 114.988 * * [simplify]: Extracting #7: cost 0 inf + 85987 114.998 * * [simplify]: Extracting #8: cost 0 inf + 85431 115.011 * * [simplify]: Extracting #9: cost 0 inf + 85167 115.025 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 115.025 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 115.026 * * * * [progress]: [ 189 / 471 ] simplifiying candidate # 115.026 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 115.026 * * [simplify]: iters left: 6 (14 enodes) 115.030 * * [simplify]: iters left: 5 (57 enodes) 115.042 * * [simplify]: iters left: 4 (100 enodes) 115.062 * * [simplify]: iters left: 3 (189 enodes) 115.121 * * [simplify]: Extracting #0: cost 1 inf + 0 115.121 * * [simplify]: Extracting #1: cost 38 inf + 0 115.121 * * [simplify]: Extracting #2: cost 129 inf + 0 115.124 * * [simplify]: Extracting #3: cost 164 inf + 2 115.124 * * [simplify]: Extracting #4: cost 157 inf + 465 115.126 * * [simplify]: Extracting #5: cost 101 inf + 16085 115.134 * * [simplify]: Extracting #6: cost 21 inf + 72263 115.151 * * [simplify]: Extracting #7: cost 0 inf + 90392 115.169 * * [simplify]: Extracting #8: cost 0 inf + 90351 115.181 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 115.181 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 115.181 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 115.182 * * [simplify]: iters left: 6 (14 enodes) 115.186 * * [simplify]: iters left: 5 (57 enodes) 115.198 * * [simplify]: iters left: 4 (100 enodes) 115.232 * * [simplify]: iters left: 3 (189 enodes) 115.296 * * [simplify]: Extracting #0: cost 1 inf + 0 115.296 * * [simplify]: Extracting #1: cost 38 inf + 0 115.297 * * [simplify]: Extracting #2: cost 129 inf + 0 115.298 * * [simplify]: Extracting #3: cost 165 inf + 2 115.299 * * [simplify]: Extracting #4: cost 153 inf + 878 115.303 * * [simplify]: Extracting #5: cost 98 inf + 17124 115.317 * * [simplify]: Extracting #6: cost 31 inf + 63860 115.327 * * [simplify]: Extracting #7: cost 1 inf + 86352 115.337 * * [simplify]: Extracting #8: cost 0 inf + 86652 115.354 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 115.354 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 115.354 * * * * [progress]: [ 190 / 471 ] simplifiying candidate # 115.355 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 115.355 * * [simplify]: iters left: 6 (18 enodes) 115.365 * * [simplify]: iters left: 5 (72 enodes) 115.389 * * [simplify]: iters left: 4 (117 enodes) 115.427 * * [simplify]: iters left: 3 (203 enodes) 115.506 * * [simplify]: iters left: 2 (440 enodes) 115.670 * * [simplify]: Extracting #0: cost 1 inf + 0 115.670 * * [simplify]: Extracting #1: cost 91 inf + 0 115.675 * * [simplify]: Extracting #2: cost 291 inf + 0 115.676 * * [simplify]: Extracting #3: cost 384 inf + 2 115.678 * * [simplify]: Extracting #4: cost 393 inf + 2074 115.682 * * [simplify]: Extracting #5: cost 330 inf + 25312 115.717 * * [simplify]: Extracting #6: cost 135 inf + 187613 115.791 * * [simplify]: Extracting #7: cost 3 inf + 321766 115.852 * * [simplify]: Extracting #8: cost 0 inf + 322434 115.916 * * [simplify]: Extracting #9: cost 0 inf + 321557 115.971 * * [simplify]: Extracting #10: cost 0 inf + 321346 116.027 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 116.027 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 116.027 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 116.027 * * [simplify]: iters left: 6 (16 enodes) 116.032 * * [simplify]: iters left: 5 (64 enodes) 116.043 * * [simplify]: iters left: 4 (103 enodes) 116.065 * * [simplify]: iters left: 3 (171 enodes) 116.101 * * [simplify]: iters left: 2 (340 enodes) 116.194 * * [simplify]: Extracting #0: cost 1 inf + 0 116.195 * * [simplify]: Extracting #1: cost 60 inf + 0 116.195 * * [simplify]: Extracting #2: cost 174 inf + 0 116.196 * * [simplify]: Extracting #3: cost 246 inf + 2 116.197 * * [simplify]: Extracting #4: cost 260 inf + 1123 116.200 * * [simplify]: Extracting #5: cost 199 inf + 20444 116.224 * * [simplify]: Extracting #6: cost 33 inf + 156430 116.271 * * [simplify]: Extracting #7: cost 0 inf + 186455 116.308 * * [simplify]: Extracting #8: cost 0 inf + 185276 116.334 * [simplify]: Simplified to (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 116.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 116.335 * * * * [progress]: [ 191 / 471 ] simplifiying candidate # 116.335 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 116.335 * * [simplify]: iters left: 6 (17 enodes) 116.343 * * [simplify]: iters left: 5 (67 enodes) 116.354 * * [simplify]: iters left: 4 (107 enodes) 116.374 * * [simplify]: iters left: 3 (179 enodes) 116.413 * * [simplify]: iters left: 2 (349 enodes) 116.518 * * [simplify]: Extracting #0: cost 1 inf + 0 116.519 * * [simplify]: Extracting #1: cost 60 inf + 0 116.519 * * [simplify]: Extracting #2: cost 174 inf + 0 116.521 * * [simplify]: Extracting #3: cost 248 inf + 2 116.522 * * [simplify]: Extracting #4: cost 258 inf + 1823 116.524 * * [simplify]: Extracting #5: cost 219 inf + 7015 116.530 * * [simplify]: Extracting #6: cost 138 inf + 57225 116.549 * * [simplify]: Extracting #7: cost 10 inf + 177495 116.593 * * [simplify]: Extracting #8: cost 0 inf + 184422 116.616 * * [simplify]: Extracting #9: cost 0 inf + 184160 116.653 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 116.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 116.654 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 116.654 * * [simplify]: iters left: 6 (16 enodes) 116.659 * * [simplify]: iters left: 5 (64 enodes) 116.669 * * [simplify]: iters left: 4 (104 enodes) 116.700 * * [simplify]: iters left: 3 (172 enodes) 116.741 * * [simplify]: iters left: 2 (342 enodes) 116.896 * * [simplify]: Extracting #0: cost 1 inf + 0 116.896 * * [simplify]: Extracting #1: cost 60 inf + 0 116.897 * * [simplify]: Extracting #2: cost 174 inf + 0 116.898 * * [simplify]: Extracting #3: cost 250 inf + 2 116.901 * * [simplify]: Extracting #4: cost 253 inf + 3061 116.911 * * [simplify]: Extracting #5: cost 157 inf + 50341 116.952 * * [simplify]: Extracting #6: cost 16 inf + 171863 116.995 * * [simplify]: Extracting #7: cost 0 inf + 181475 117.037 * * [simplify]: Extracting #8: cost 0 inf + 181224 117.062 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 117.062 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 117.062 * * * * [progress]: [ 192 / 471 ] simplifiying candidate # 117.063 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 117.063 * * [simplify]: iters left: 6 (13 enodes) 117.068 * * [simplify]: iters left: 5 (50 enodes) 117.085 * * [simplify]: iters left: 4 (79 enodes) 117.103 * * [simplify]: iters left: 3 (121 enodes) 117.125 * * [simplify]: iters left: 2 (224 enodes) 117.192 * * [simplify]: iters left: 1 (494 enodes) 117.438 * * [simplify]: Extracting #0: cost 1 inf + 0 117.438 * * [simplify]: Extracting #1: cost 54 inf + 0 117.439 * * [simplify]: Extracting #2: cost 160 inf + 1 117.440 * * [simplify]: Extracting #3: cost 230 inf + 4 117.441 * * [simplify]: Extracting #4: cost 226 inf + 1335 117.445 * * [simplify]: Extracting #5: cost 148 inf + 21607 117.460 * * [simplify]: Extracting #6: cost 31 inf + 108355 117.499 * * [simplify]: Extracting #7: cost 0 inf + 135204 117.525 * * [simplify]: Extracting #8: cost 0 inf + 134583 117.561 * * [simplify]: Extracting #9: cost 0 inf + 133845 117.585 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 117.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 117.585 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 117.585 * * [simplify]: iters left: 6 (15 enodes) 117.589 * * [simplify]: iters left: 5 (61 enodes) 117.605 * * [simplify]: iters left: 4 (104 enodes) 117.640 * * [simplify]: iters left: 3 (197 enodes) 117.731 * * [simplify]: Extracting #0: cost 1 inf + 0 117.732 * * [simplify]: Extracting #1: cost 38 inf + 0 117.732 * * [simplify]: Extracting #2: cost 129 inf + 0 117.733 * * [simplify]: Extracting #3: cost 167 inf + 1 117.734 * * [simplify]: Extracting #4: cost 154 inf + 1291 117.738 * * [simplify]: Extracting #5: cost 108 inf + 15540 117.753 * * [simplify]: Extracting #6: cost 30 inf + 68147 117.774 * * [simplify]: Extracting #7: cost 0 inf + 92233 117.798 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 117.798 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (cbrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 117.798 * * * * [progress]: [ 193 / 471 ] simplifiying candidate # 117.799 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 117.799 * * [simplify]: iters left: 6 (17 enodes) 117.807 * * [simplify]: iters left: 5 (70 enodes) 117.819 * * [simplify]: iters left: 4 (117 enodes) 117.845 * * [simplify]: iters left: 3 (224 enodes) 117.914 * * [simplify]: Extracting #0: cost 1 inf + 0 117.915 * * [simplify]: Extracting #1: cost 38 inf + 0 117.915 * * [simplify]: Extracting #2: cost 131 inf + 0 117.916 * * [simplify]: Extracting #3: cost 179 inf + 1 117.918 * * [simplify]: Extracting #4: cost 172 inf + 428 117.921 * * [simplify]: Extracting #5: cost 120 inf + 13617 117.935 * * [simplify]: Extracting #6: cost 34 inf + 68131 117.947 * * [simplify]: Extracting #7: cost 1 inf + 96066 117.959 * * [simplify]: Extracting #8: cost 0 inf + 95938 117.981 * * [simplify]: Extracting #9: cost 0 inf + 95806 118.005 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 118.005 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 118.006 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 118.006 * * [simplify]: iters left: 6 (16 enodes) 118.018 * * [simplify]: iters left: 5 (67 enodes) 118.040 * * [simplify]: iters left: 4 (114 enodes) 118.071 * * [simplify]: iters left: 3 (221 enodes) 118.134 * * [simplify]: Extracting #0: cost 1 inf + 0 118.134 * * [simplify]: Extracting #1: cost 38 inf + 0 118.135 * * [simplify]: Extracting #2: cost 127 inf + 0 118.136 * * [simplify]: Extracting #3: cost 175 inf + 1 118.137 * * [simplify]: Extracting #4: cost 160 inf + 1252 118.141 * * [simplify]: Extracting #5: cost 110 inf + 14335 118.155 * * [simplify]: Extracting #6: cost 27 inf + 66727 118.169 * * [simplify]: Extracting #7: cost 0 inf + 88228 118.179 * * [simplify]: Extracting #8: cost 0 inf + 87672 118.189 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))) 118.189 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (cbrt n) (/ (- 1 k) 2)))))) 118.189 * * * * [progress]: [ 194 / 471 ] simplifiying candidate # 118.190 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 118.190 * * [simplify]: iters left: 6 (12 enodes) 118.194 * * [simplify]: iters left: 5 (51 enodes) 118.203 * * [simplify]: iters left: 4 (86 enodes) 118.234 * * [simplify]: iters left: 3 (176 enodes) 118.279 * * [simplify]: Extracting #0: cost 1 inf + 0 118.279 * * [simplify]: Extracting #1: cost 41 inf + 0 118.280 * * [simplify]: Extracting #2: cost 122 inf + 1 118.280 * * [simplify]: Extracting #3: cost 154 inf + 3 118.281 * * [simplify]: Extracting #4: cost 160 inf + 8 118.282 * * [simplify]: Extracting #5: cost 151 inf + 1250 118.285 * * [simplify]: Extracting #6: cost 102 inf + 14758 118.299 * * [simplify]: Extracting #7: cost 21 inf + 68341 118.322 * * [simplify]: Extracting #8: cost 0 inf + 84580 118.340 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 118.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 118.341 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 118.341 * * [simplify]: iters left: 6 (13 enodes) 118.349 * * [simplify]: iters left: 5 (54 enodes) 118.368 * * [simplify]: iters left: 4 (97 enodes) 118.387 * * [simplify]: iters left: 3 (190 enodes) 118.456 * * [simplify]: Extracting #0: cost 1 inf + 0 118.456 * * [simplify]: Extracting #1: cost 38 inf + 0 118.456 * * [simplify]: Extracting #2: cost 129 inf + 0 118.457 * * [simplify]: Extracting #3: cost 160 inf + 44 118.457 * * [simplify]: Extracting #4: cost 149 inf + 1376 118.459 * * [simplify]: Extracting #5: cost 105 inf + 15281 118.465 * * [simplify]: Extracting #6: cost 27 inf + 64747 118.474 * * [simplify]: Extracting #7: cost 0 inf + 84880 118.490 * * [simplify]: Extracting #8: cost 0 inf + 84226 118.500 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 118.500 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 118.501 * * * * [progress]: [ 195 / 471 ] simplifiying candidate # 118.501 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 118.501 * * [simplify]: iters left: 6 (16 enodes) 118.506 * * [simplify]: iters left: 5 (66 enodes) 118.517 * * [simplify]: iters left: 4 (107 enodes) 118.546 * * [simplify]: iters left: 3 (195 enodes) 118.606 * * [simplify]: iters left: 2 (451 enodes) 118.926 * * [simplify]: Extracting #0: cost 1 inf + 0 118.926 * * [simplify]: Extracting #1: cost 107 inf + 0 118.928 * * [simplify]: Extracting #2: cost 312 inf + 1 118.931 * * [simplify]: Extracting #3: cost 397 inf + 3 118.935 * * [simplify]: Extracting #4: cost 428 inf + 10 118.945 * * [simplify]: Extracting #5: cost 324 inf + 49267 118.983 * * [simplify]: Extracting #6: cost 163 inf + 162494 119.037 * * [simplify]: Extracting #7: cost 29 inf + 289177 119.097 * * [simplify]: Extracting #8: cost 0 inf + 320635 119.193 * * [simplify]: Extracting #9: cost 0 inf + 320595 119.289 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 119.289 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 119.289 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 119.289 * * [simplify]: iters left: 6 (15 enodes) 119.298 * * [simplify]: iters left: 5 (61 enodes) 119.319 * * [simplify]: iters left: 4 (100 enodes) 119.353 * * [simplify]: iters left: 3 (172 enodes) 119.395 * * [simplify]: iters left: 2 (347 enodes) 119.511 * * [simplify]: Extracting #0: cost 1 inf + 0 119.511 * * [simplify]: Extracting #1: cost 60 inf + 0 119.512 * * [simplify]: Extracting #2: cost 175 inf + 0 119.513 * * [simplify]: Extracting #3: cost 242 inf + 44 119.514 * * [simplify]: Extracting #4: cost 241 inf + 5647 119.518 * * [simplify]: Extracting #5: cost 170 inf + 35018 119.528 * * [simplify]: Extracting #6: cost 84 inf + 91486 119.546 * * [simplify]: Extracting #7: cost 5 inf + 170656 119.568 * * [simplify]: Extracting #8: cost 0 inf + 175075 119.589 * * [simplify]: Extracting #9: cost 0 inf + 174823 119.620 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 119.620 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 119.620 * * * * [progress]: [ 196 / 471 ] simplifiying candidate # 119.620 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 119.621 * * [simplify]: iters left: 6 (15 enodes) 119.629 * * [simplify]: iters left: 5 (61 enodes) 119.650 * * [simplify]: iters left: 4 (97 enodes) 119.683 * * [simplify]: iters left: 3 (170 enodes) 119.722 * * [simplify]: iters left: 2 (350 enodes) 119.880 * * [simplify]: Extracting #0: cost 1 inf + 0 119.880 * * [simplify]: Extracting #1: cost 67 inf + 0 119.881 * * [simplify]: Extracting #2: cost 183 inf + 1 119.881 * * [simplify]: Extracting #3: cost 259 inf + 3 119.883 * * [simplify]: Extracting #4: cost 292 inf + 10 119.884 * * [simplify]: Extracting #5: cost 265 inf + 4015 119.889 * * [simplify]: Extracting #6: cost 179 inf + 40388 119.918 * * [simplify]: Extracting #7: cost 40 inf + 144903 119.951 * * [simplify]: Extracting #8: cost 0 inf + 180501 119.991 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 119.991 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 119.991 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 119.992 * * [simplify]: iters left: 6 (15 enodes) 120.001 * * [simplify]: iters left: 5 (61 enodes) 120.021 * * [simplify]: iters left: 4 (101 enodes) 120.055 * * [simplify]: iters left: 3 (173 enodes) 120.118 * * [simplify]: iters left: 2 (344 enodes) 120.216 * * [simplify]: Extracting #0: cost 1 inf + 0 120.216 * * [simplify]: Extracting #1: cost 60 inf + 0 120.217 * * [simplify]: Extracting #2: cost 171 inf + 0 120.218 * * [simplify]: Extracting #3: cost 243 inf + 44 120.219 * * [simplify]: Extracting #4: cost 238 inf + 6350 120.226 * * [simplify]: Extracting #5: cost 118 inf + 70379 120.254 * * [simplify]: Extracting #6: cost 16 inf + 151655 120.298 * * [simplify]: Extracting #7: cost 0 inf + 166690 120.327 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))) 120.327 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (cbrt n) (/ (- 1 k) 2)))))) 120.327 * * * * [progress]: [ 197 / 471 ] simplifiying candidate # 120.328 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 1)) 120.328 * * [simplify]: iters left: 6 (11 enodes) 120.331 * * [simplify]: iters left: 5 (42 enodes) 120.338 * * [simplify]: iters left: 4 (63 enodes) 120.349 * * [simplify]: iters left: 3 (101 enodes) 120.386 * * [simplify]: iters left: 2 (198 enodes) 120.438 * * [simplify]: iters left: 1 (393 enodes) 120.605 * * [simplify]: Extracting #0: cost 1 inf + 0 120.605 * * [simplify]: Extracting #1: cost 55 inf + 0 120.606 * * [simplify]: Extracting #2: cost 155 inf + 2 120.608 * * [simplify]: Extracting #3: cost 206 inf + 7 120.609 * * [simplify]: Extracting #4: cost 184 inf + 1990 120.612 * * [simplify]: Extracting #5: cost 127 inf + 10302 120.620 * * [simplify]: Extracting #6: cost 39 inf + 72770 120.636 * * [simplify]: Extracting #7: cost 0 inf + 107876 120.655 * * [simplify]: Extracting #8: cost 0 inf + 105975 120.686 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) 120.686 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 120.686 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 120.687 * * [simplify]: iters left: 6 (14 enodes) 120.697 * * [simplify]: iters left: 5 (58 enodes) 120.718 * * [simplify]: iters left: 4 (101 enodes) 120.752 * * [simplify]: iters left: 3 (190 enodes) 120.839 * * [simplify]: iters left: 2 (495 enodes) 121.041 * * [simplify]: Extracting #0: cost 1 inf + 0 121.042 * * [simplify]: Extracting #1: cost 119 inf + 0 121.044 * * [simplify]: Extracting #2: cost 501 inf + 0 121.048 * * [simplify]: Extracting #3: cost 600 inf + 85 121.054 * * [simplify]: Extracting #4: cost 585 inf + 3772 121.063 * * [simplify]: Extracting #5: cost 526 inf + 20740 121.094 * * [simplify]: Extracting #6: cost 188 inf + 288631 121.148 * * [simplify]: Extracting #7: cost 13 inf + 449126 121.215 * * [simplify]: Extracting #8: cost 0 inf + 455831 121.316 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 121.316 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (* 1/2 (- 1 k))) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 121.316 * * * * [progress]: [ 198 / 471 ] simplifiying candidate # 121.316 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 121.317 * * [simplify]: iters left: 6 (15 enodes) 121.327 * * [simplify]: iters left: 5 (64 enodes) 121.348 * * [simplify]: iters left: 4 (107 enodes) 121.375 * * [simplify]: iters left: 3 (213 enodes) 121.454 * * [simplify]: Extracting #0: cost 1 inf + 0 121.454 * * [simplify]: Extracting #1: cost 41 inf + 0 121.455 * * [simplify]: Extracting #2: cost 125 inf + 1 121.456 * * [simplify]: Extracting #3: cost 169 inf + 2 121.457 * * [simplify]: Extracting #4: cost 172 inf + 11 121.458 * * [simplify]: Extracting #5: cost 163 inf + 921 121.461 * * [simplify]: Extracting #6: cost 110 inf + 11762 121.473 * * [simplify]: Extracting #7: cost 38 inf + 56473 121.494 * * [simplify]: Extracting #8: cost 0 inf + 87698 121.506 * * [simplify]: Extracting #9: cost 0 inf + 87618 121.516 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 121.516 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 121.516 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 121.517 * * [simplify]: iters left: 6 (15 enodes) 121.521 * * [simplify]: iters left: 5 (64 enodes) 121.538 * * [simplify]: iters left: 4 (111 enodes) 121.574 * * [simplify]: iters left: 3 (218 enodes) 121.646 * * [simplify]: Extracting #0: cost 1 inf + 0 121.646 * * [simplify]: Extracting #1: cost 38 inf + 0 121.646 * * [simplify]: Extracting #2: cost 127 inf + 0 121.647 * * [simplify]: Extracting #3: cost 169 inf + 84 121.649 * * [simplify]: Extracting #4: cost 157 inf + 1584 121.654 * * [simplify]: Extracting #5: cost 98 inf + 21193 121.667 * * [simplify]: Extracting #6: cost 21 inf + 69554 121.689 * * [simplify]: Extracting #7: cost 0 inf + 85987 121.708 * * [simplify]: Extracting #8: cost 0 inf + 85431 121.728 * * [simplify]: Extracting #9: cost 0 inf + 85167 121.747 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 121.747 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 121.747 * * * * [progress]: [ 199 / 471 ] simplifiying candidate # 121.747 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) 121.748 * * [simplify]: iters left: 6 (10 enodes) 121.754 * * [simplify]: iters left: 5 (39 enodes) 121.767 * * [simplify]: iters left: 4 (62 enodes) 121.789 * * [simplify]: iters left: 3 (104 enodes) 121.832 * * [simplify]: iters left: 2 (209 enodes) 121.883 * * [simplify]: iters left: 1 (438 enodes) 122.110 * * [simplify]: Extracting #0: cost 1 inf + 0 122.111 * * [simplify]: Extracting #1: cost 51 inf + 0 122.112 * * [simplify]: Extracting #2: cost 162 inf + 2 122.113 * * [simplify]: Extracting #3: cost 213 inf + 7 122.116 * * [simplify]: Extracting #4: cost 194 inf + 1824 122.122 * * [simplify]: Extracting #5: cost 112 inf + 27352 122.142 * * [simplify]: Extracting #6: cost 12 inf + 101333 122.176 * * [simplify]: Extracting #7: cost 0 inf + 111373 122.228 * * [simplify]: Extracting #8: cost 0 inf + 111323 122.282 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) 122.282 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 122.282 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 122.282 * * [simplify]: iters left: 6 (14 enodes) 122.290 * * [simplify]: iters left: 5 (58 enodes) 122.310 * * [simplify]: iters left: 4 (101 enodes) 122.328 * * [simplify]: iters left: 3 (190 enodes) 122.388 * * [simplify]: iters left: 2 (495 enodes) 122.610 * * [simplify]: Extracting #0: cost 1 inf + 0 122.610 * * [simplify]: Extracting #1: cost 119 inf + 0 122.612 * * [simplify]: Extracting #2: cost 501 inf + 0 122.619 * * [simplify]: Extracting #3: cost 600 inf + 85 122.621 * * [simplify]: Extracting #4: cost 585 inf + 3772 122.626 * * [simplify]: Extracting #5: cost 526 inf + 20740 122.658 * * [simplify]: Extracting #6: cost 188 inf + 288631 122.723 * * [simplify]: Extracting #7: cost 13 inf + 449126 122.793 * * [simplify]: Extracting #8: cost 0 inf + 455831 122.857 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))) 122.857 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt k))))) 122.857 * * * * [progress]: [ 200 / 471 ] simplifiying candidate # 122.857 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 122.857 * * [simplify]: iters left: 6 (11 enodes) 122.861 * * [simplify]: iters left: 5 (44 enodes) 122.868 * * [simplify]: iters left: 4 (67 enodes) 122.880 * * [simplify]: iters left: 3 (109 enodes) 122.911 * * [simplify]: iters left: 2 (216 enodes) 122.994 * * [simplify]: iters left: 1 (454 enodes) 123.170 * * [simplify]: Extracting #0: cost 1 inf + 0 123.170 * * [simplify]: Extracting #1: cost 47 inf + 0 123.171 * * [simplify]: Extracting #2: cost 138 inf + 0 123.172 * * [simplify]: Extracting #3: cost 205 inf + 45 123.173 * * [simplify]: Extracting #4: cost 212 inf + 842 123.179 * * [simplify]: Extracting #5: cost 141 inf + 18781 123.208 * * [simplify]: Extracting #6: cost 19 inf + 110444 123.231 * * [simplify]: Extracting #7: cost 0 inf + 127149 123.250 * * [simplify]: Extracting #8: cost 0 inf + 126645 123.288 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 123.288 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 123.288 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 123.289 * * [simplify]: iters left: 6 (13 enodes) 123.296 * * [simplify]: iters left: 5 (55 enodes) 123.316 * * [simplify]: iters left: 4 (94 enodes) 123.333 * * [simplify]: iters left: 3 (182 enodes) 123.404 * * [simplify]: iters left: 2 (496 enodes) 123.725 * * [simplify]: Extracting #0: cost 1 inf + 0 123.725 * * [simplify]: Extracting #1: cost 148 inf + 0 123.729 * * [simplify]: Extracting #2: cost 543 inf + 1 123.733 * * [simplify]: Extracting #3: cost 605 inf + 3 123.736 * * [simplify]: Extracting #4: cost 605 inf + 258 123.740 * * [simplify]: Extracting #5: cost 569 inf + 7940 123.752 * * [simplify]: Extracting #6: cost 390 inf + 117282 123.820 * * [simplify]: Extracting #7: cost 43 inf + 402972 123.899 * * [simplify]: Extracting #8: cost 0 inf + 435212 123.981 * * [simplify]: Extracting #9: cost 0 inf + 434259 124.074 * [simplify]: Simplified to (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) 124.074 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))) 124.074 * * * * [progress]: [ 201 / 471 ] simplifiying candidate # 124.074 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 124.075 * * [simplify]: iters left: 6 (16 enodes) 124.080 * * [simplify]: iters left: 5 (65 enodes) 124.093 * * [simplify]: iters left: 4 (118 enodes) 124.128 * * [simplify]: iters left: 3 (237 enodes) 124.201 * * [simplify]: Extracting #0: cost 1 inf + 0 124.202 * * [simplify]: Extracting #1: cost 38 inf + 0 124.202 * * [simplify]: Extracting #2: cost 130 inf + 0 124.202 * * [simplify]: Extracting #3: cost 158 inf + 47 124.203 * * [simplify]: Extracting #4: cost 151 inf + 676 124.205 * * [simplify]: Extracting #5: cost 107 inf + 11334 124.212 * * [simplify]: Extracting #6: cost 14 inf + 69473 124.221 * * [simplify]: Extracting #7: cost 0 inf + 81840 124.231 * * [simplify]: Extracting #8: cost 0 inf + 81800 124.248 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) 124.248 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 124.249 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 124.249 * * [simplify]: iters left: 6 (13 enodes) 124.256 * * [simplify]: iters left: 5 (53 enodes) 124.274 * * [simplify]: iters left: 4 (88 enodes) 124.306 * * [simplify]: iters left: 3 (178 enodes) 124.392 * * [simplify]: Extracting #0: cost 1 inf + 0 124.392 * * [simplify]: Extracting #1: cost 39 inf + 0 124.393 * * [simplify]: Extracting #2: cost 117 inf + 0 124.393 * * [simplify]: Extracting #3: cost 164 inf + 1 124.395 * * [simplify]: Extracting #4: cost 147 inf + 1671 124.398 * * [simplify]: Extracting #5: cost 92 inf + 15246 124.410 * * [simplify]: Extracting #6: cost 21 inf + 64552 124.426 * * [simplify]: Extracting #7: cost 0 inf + 82942 124.443 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 124.443 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (* PI 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 124.444 * * * * [progress]: [ 202 / 471 ] simplifiying candidate # 124.444 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 124.444 * * [simplify]: iters left: 6 (16 enodes) 124.453 * * [simplify]: iters left: 5 (64 enodes) 124.467 * * [simplify]: iters left: 4 (104 enodes) 124.484 * * [simplify]: iters left: 3 (171 enodes) 124.542 * * [simplify]: iters left: 2 (333 enodes) 124.656 * * [simplify]: Extracting #0: cost 1 inf + 0 124.656 * * [simplify]: Extracting #1: cost 54 inf + 0 124.656 * * [simplify]: Extracting #2: cost 148 inf + 0 124.657 * * [simplify]: Extracting #3: cost 213 inf + 2 124.658 * * [simplify]: Extracting #4: cost 234 inf + 93 124.659 * * [simplify]: Extracting #5: cost 240 inf + 2339 124.662 * * [simplify]: Extracting #6: cost 190 inf + 16572 124.672 * * [simplify]: Extracting #7: cost 132 inf + 55842 124.703 * * [simplify]: Extracting #8: cost 39 inf + 140689 124.725 * * [simplify]: Extracting #9: cost 0 inf + 175280 124.758 * * [simplify]: Extracting #10: cost 0 inf + 174978 124.792 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) 124.793 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 124.793 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 124.793 * * [simplify]: iters left: 6 (15 enodes) 124.797 * * [simplify]: iters left: 5 (59 enodes) 124.810 * * [simplify]: iters left: 4 (93 enodes) 124.836 * * [simplify]: iters left: 3 (145 enodes) 124.883 * * [simplify]: iters left: 2 (261 enodes) 124.960 * * [simplify]: Extracting #0: cost 1 inf + 0 124.961 * * [simplify]: Extracting #1: cost 30 inf + 0 124.961 * * [simplify]: Extracting #2: cost 72 inf + 0 124.961 * * [simplify]: Extracting #3: cost 125 inf + 2 124.962 * * [simplify]: Extracting #4: cost 147 inf + 52 124.962 * * [simplify]: Extracting #5: cost 160 inf + 1091 124.964 * * [simplify]: Extracting #6: cost 105 inf + 13799 124.971 * * [simplify]: Extracting #7: cost 32 inf + 62385 124.987 * * [simplify]: Extracting #8: cost 0 inf + 90003 125.009 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 125.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 125.010 * * * * [progress]: [ 203 / 471 ] simplifiying candidate # 125.010 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 125.010 * * [simplify]: iters left: 6 (15 enodes) 125.018 * * [simplify]: iters left: 5 (59 enodes) 125.042 * * [simplify]: iters left: 4 (93 enodes) 125.057 * * [simplify]: iters left: 3 (145 enodes) 125.094 * * [simplify]: iters left: 2 (261 enodes) 125.196 * * [simplify]: Extracting #0: cost 1 inf + 0 125.196 * * [simplify]: Extracting #1: cost 30 inf + 0 125.197 * * [simplify]: Extracting #2: cost 72 inf + 0 125.197 * * [simplify]: Extracting #3: cost 125 inf + 2 125.197 * * [simplify]: Extracting #4: cost 147 inf + 52 125.198 * * [simplify]: Extracting #5: cost 160 inf + 1091 125.200 * * [simplify]: Extracting #6: cost 105 inf + 13719 125.207 * * [simplify]: Extracting #7: cost 32 inf + 61345 125.223 * * [simplify]: Extracting #8: cost 0 inf + 88523 125.237 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 125.237 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 125.237 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 125.237 * * [simplify]: iters left: 6 (15 enodes) 125.242 * * [simplify]: iters left: 5 (59 enodes) 125.253 * * [simplify]: iters left: 4 (93 enodes) 125.280 * * [simplify]: iters left: 3 (145 enodes) 125.309 * * [simplify]: iters left: 2 (261 enodes) 125.389 * * [simplify]: Extracting #0: cost 1 inf + 0 125.390 * * [simplify]: Extracting #1: cost 30 inf + 0 125.390 * * [simplify]: Extracting #2: cost 72 inf + 0 125.391 * * [simplify]: Extracting #3: cost 125 inf + 2 125.392 * * [simplify]: Extracting #4: cost 147 inf + 52 125.393 * * [simplify]: Extracting #5: cost 160 inf + 1091 125.397 * * [simplify]: Extracting #6: cost 105 inf + 13719 125.410 * * [simplify]: Extracting #7: cost 32 inf + 61345 125.431 * * [simplify]: Extracting #8: cost 0 inf + 88523 125.454 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))) 125.454 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2)))))))) 125.454 * * * * [progress]: [ 204 / 471 ] simplifiying candidate # 125.454 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 125.455 * * [simplify]: iters left: 6 (14 enodes) 125.462 * * [simplify]: iters left: 5 (59 enodes) 125.476 * * [simplify]: iters left: 4 (114 enodes) 125.509 * * [simplify]: iters left: 3 (275 enodes) 125.618 * * [simplify]: Extracting #0: cost 1 inf + 0 125.618 * * [simplify]: Extracting #1: cost 74 inf + 0 125.619 * * [simplify]: Extracting #2: cost 236 inf + 0 125.620 * * [simplify]: Extracting #3: cost 279 inf + 2 125.621 * * [simplify]: Extracting #4: cost 237 inf + 11912 125.640 * * [simplify]: Extracting #5: cost 82 inf + 109047 125.672 * * [simplify]: Extracting #6: cost 1 inf + 175024 125.699 * * [simplify]: Extracting #7: cost 0 inf + 176056 125.740 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 125.740 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 125.740 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 125.741 * * [simplify]: iters left: 6 (14 enodes) 125.748 * * [simplify]: iters left: 5 (57 enodes) 125.765 * * [simplify]: iters left: 4 (100 enodes) 125.785 * * [simplify]: iters left: 3 (189 enodes) 125.834 * * [simplify]: Extracting #0: cost 1 inf + 0 125.834 * * [simplify]: Extracting #1: cost 38 inf + 0 125.835 * * [simplify]: Extracting #2: cost 129 inf + 0 125.836 * * [simplify]: Extracting #3: cost 165 inf + 2 125.837 * * [simplify]: Extracting #4: cost 153 inf + 838 125.841 * * [simplify]: Extracting #5: cost 98 inf + 16924 125.855 * * [simplify]: Extracting #6: cost 31 inf + 62780 125.876 * * [simplify]: Extracting #7: cost 1 inf + 84832 125.898 * * [simplify]: Extracting #8: cost 0 inf + 85132 125.908 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 125.908 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 125.908 * * * * [progress]: [ 205 / 471 ] simplifiying candidate # 125.908 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 125.909 * * [simplify]: iters left: 6 (18 enodes) 125.914 * * [simplify]: iters left: 5 (76 enodes) 125.928 * * [simplify]: iters left: 4 (139 enodes) 125.976 * * [simplify]: iters left: 3 (293 enodes) 126.086 * * [simplify]: Extracting #0: cost 1 inf + 0 126.087 * * [simplify]: Extracting #1: cost 63 inf + 0 126.088 * * [simplify]: Extracting #2: cost 171 inf + 0 126.089 * * [simplify]: Extracting #3: cost 220 inf + 0 126.091 * * [simplify]: Extracting #4: cost 213 inf + 1945 126.097 * * [simplify]: Extracting #5: cost 145 inf + 28688 126.123 * * [simplify]: Extracting #6: cost 20 inf + 126901 126.142 * * [simplify]: Extracting #7: cost 0 inf + 145743 126.171 * * [simplify]: Extracting #8: cost 0 inf + 145583 126.193 * [simplify]: Simplified to (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 126.193 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 126.193 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 126.193 * * [simplify]: iters left: 6 (16 enodes) 126.199 * * [simplify]: iters left: 5 (64 enodes) 126.219 * * [simplify]: iters left: 4 (103 enodes) 126.252 * * [simplify]: iters left: 3 (171 enodes) 126.287 * * [simplify]: iters left: 2 (340 enodes) 126.404 * * [simplify]: Extracting #0: cost 1 inf + 0 126.404 * * [simplify]: Extracting #1: cost 60 inf + 0 126.405 * * [simplify]: Extracting #2: cost 174 inf + 0 126.407 * * [simplify]: Extracting #3: cost 246 inf + 2 126.413 * * [simplify]: Extracting #4: cost 260 inf + 1123 126.416 * * [simplify]: Extracting #5: cost 199 inf + 19924 126.430 * * [simplify]: Extracting #6: cost 33 inf + 153550 126.461 * * [simplify]: Extracting #7: cost 0 inf + 183055 126.505 * * [simplify]: Extracting #8: cost 0 inf + 181876 126.548 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 126.548 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 126.548 * * * * [progress]: [ 206 / 471 ] simplifiying candidate # 126.549 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 126.549 * * [simplify]: iters left: 6 (17 enodes) 126.560 * * [simplify]: iters left: 5 (69 enodes) 126.583 * * [simplify]: iters left: 4 (114 enodes) 126.617 * * [simplify]: iters left: 3 (225 enodes) 126.675 * * [simplify]: Extracting #0: cost 1 inf + 0 126.675 * * [simplify]: Extracting #1: cost 46 inf + 0 126.676 * * [simplify]: Extracting #2: cost 118 inf + 0 126.676 * * [simplify]: Extracting #3: cost 168 inf + 0 126.677 * * [simplify]: Extracting #4: cost 159 inf + 1376 126.679 * * [simplify]: Extracting #5: cost 114 inf + 12307 126.686 * * [simplify]: Extracting #6: cost 35 inf + 64097 126.698 * * [simplify]: Extracting #7: cost 0 inf + 91468 126.711 * * [simplify]: Extracting #8: cost 0 inf + 90733 126.723 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 126.723 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 126.723 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 126.723 * * [simplify]: iters left: 6 (16 enodes) 126.727 * * [simplify]: iters left: 5 (64 enodes) 126.741 * * [simplify]: iters left: 4 (104 enodes) 126.759 * * [simplify]: iters left: 3 (172 enodes) 126.812 * * [simplify]: iters left: 2 (342 enodes) 126.940 * * [simplify]: Extracting #0: cost 1 inf + 0 126.940 * * [simplify]: Extracting #1: cost 60 inf + 0 126.941 * * [simplify]: Extracting #2: cost 174 inf + 0 126.942 * * [simplify]: Extracting #3: cost 250 inf + 2 126.945 * * [simplify]: Extracting #4: cost 253 inf + 2981 126.952 * * [simplify]: Extracting #5: cost 157 inf + 48821 126.974 * * [simplify]: Extracting #6: cost 16 inf + 168503 127.001 * * [simplify]: Extracting #7: cost 0 inf + 178075 127.023 * * [simplify]: Extracting #8: cost 0 inf + 177824 127.052 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))) 127.053 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 127.053 * * * * [progress]: [ 207 / 471 ] simplifiying candidate # 127.053 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 127.054 * * [simplify]: iters left: 6 (13 enodes) 127.062 * * [simplify]: iters left: 5 (52 enodes) 127.083 * * [simplify]: iters left: 4 (94 enodes) 127.116 * * [simplify]: iters left: 3 (170 enodes) 127.182 * * [simplify]: iters left: 2 (346 enodes) 127.337 * * [simplify]: Extracting #0: cost 1 inf + 0 127.337 * * [simplify]: Extracting #1: cost 74 inf + 0 127.339 * * [simplify]: Extracting #2: cost 204 inf + 1 127.341 * * [simplify]: Extracting #3: cost 273 inf + 3 127.344 * * [simplify]: Extracting #4: cost 258 inf + 2336 127.348 * * [simplify]: Extracting #5: cost 169 inf + 35259 127.365 * * [simplify]: Extracting #6: cost 25 inf + 128363 127.401 * * [simplify]: Extracting #7: cost 0 inf + 141825 127.444 * * [simplify]: Extracting #8: cost 0 inf + 141493 127.486 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 127.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 127.487 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 127.487 * * [simplify]: iters left: 6 (15 enodes) 127.495 * * [simplify]: iters left: 5 (61 enodes) 127.516 * * [simplify]: iters left: 4 (104 enodes) 127.538 * * [simplify]: iters left: 3 (197 enodes) 127.619 * * [simplify]: Extracting #0: cost 1 inf + 0 127.619 * * [simplify]: Extracting #1: cost 38 inf + 0 127.620 * * [simplify]: Extracting #2: cost 129 inf + 0 127.621 * * [simplify]: Extracting #3: cost 167 inf + 1 127.622 * * [simplify]: Extracting #4: cost 154 inf + 1171 127.626 * * [simplify]: Extracting #5: cost 108 inf + 15060 127.639 * * [simplify]: Extracting #6: cost 30 inf + 66947 127.659 * * [simplify]: Extracting #7: cost 0 inf + 90713 127.675 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 127.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 127.675 * * * * [progress]: [ 208 / 471 ] simplifiying candidate # 127.676 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 127.676 * * [simplify]: iters left: 6 (17 enodes) 127.681 * * [simplify]: iters left: 5 (72 enodes) 127.693 * * [simplify]: iters left: 4 (131 enodes) 127.734 * * [simplify]: iters left: 3 (310 enodes) 127.885 * * [simplify]: Extracting #0: cost 1 inf + 0 127.885 * * [simplify]: Extracting #1: cost 76 inf + 0 127.886 * * [simplify]: Extracting #2: cost 251 inf + 0 127.887 * * [simplify]: Extracting #3: cost 300 inf + 1 127.889 * * [simplify]: Extracting #4: cost 271 inf + 3467 127.893 * * [simplify]: Extracting #5: cost 207 inf + 28024 127.917 * * [simplify]: Extracting #6: cost 77 inf + 126675 127.943 * * [simplify]: Extracting #7: cost 0 inf + 190958 127.992 * * [simplify]: Extracting #8: cost 0 inf + 190716 128.041 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt n) (/ (- 1 k) 2)))) 128.041 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 128.041 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 128.042 * * [simplify]: iters left: 6 (16 enodes) 128.051 * * [simplify]: iters left: 5 (67 enodes) 128.074 * * [simplify]: iters left: 4 (114 enodes) 128.106 * * [simplify]: iters left: 3 (221 enodes) 128.183 * * [simplify]: Extracting #0: cost 1 inf + 0 128.183 * * [simplify]: Extracting #1: cost 38 inf + 0 128.184 * * [simplify]: Extracting #2: cost 127 inf + 0 128.185 * * [simplify]: Extracting #3: cost 175 inf + 1 128.186 * * [simplify]: Extracting #4: cost 160 inf + 1212 128.191 * * [simplify]: Extracting #5: cost 110 inf + 14015 128.202 * * [simplify]: Extracting #6: cost 27 inf + 65567 128.212 * * [simplify]: Extracting #7: cost 0 inf + 86908 128.224 * * [simplify]: Extracting #8: cost 0 inf + 86352 128.238 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 128.238 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 128.239 * * * * [progress]: [ 209 / 471 ] simplifiying candidate # 128.239 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 128.239 * * [simplify]: iters left: 6 (14 enodes) 128.247 * * [simplify]: iters left: 5 (58 enodes) 128.263 * * [simplify]: iters left: 4 (101 enodes) 128.280 * * [simplify]: iters left: 3 (190 enodes) 128.338 * * [simplify]: iters left: 2 (495 enodes) 128.572 * * [simplify]: Extracting #0: cost 1 inf + 0 128.578 * * [simplify]: Extracting #1: cost 114 inf + 0 128.581 * * [simplify]: Extracting #2: cost 504 inf + 0 128.585 * * [simplify]: Extracting #3: cost 606 inf + 3 128.591 * * [simplify]: Extracting #4: cost 568 inf + 10942 128.604 * * [simplify]: Extracting #5: cost 360 inf + 145329 128.665 * * [simplify]: Extracting #6: cost 41 inf + 412657 128.736 * * [simplify]: Extracting #7: cost 0 inf + 444792 128.836 * * [simplify]: Extracting #8: cost 0 inf + 441624 128.909 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) 128.909 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 128.910 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 128.910 * * [simplify]: iters left: 6 (14 enodes) 128.919 * * [simplify]: iters left: 5 (57 enodes) 128.938 * * [simplify]: iters left: 4 (100 enodes) 128.973 * * [simplify]: iters left: 3 (189 enodes) 129.062 * * [simplify]: Extracting #0: cost 1 inf + 0 129.062 * * [simplify]: Extracting #1: cost 38 inf + 0 129.063 * * [simplify]: Extracting #2: cost 129 inf + 0 129.064 * * [simplify]: Extracting #3: cost 165 inf + 2 129.065 * * [simplify]: Extracting #4: cost 153 inf + 878 129.069 * * [simplify]: Extracting #5: cost 98 inf + 17004 129.083 * * [simplify]: Extracting #6: cost 31 inf + 62860 129.104 * * [simplify]: Extracting #7: cost 1 inf + 84912 129.125 * * [simplify]: Extracting #8: cost 0 inf + 85212 129.148 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 129.148 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 129.149 * * * * [progress]: [ 210 / 471 ] simplifiying candidate # 129.149 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 129.149 * * [simplify]: iters left: 6 (18 enodes) 129.160 * * [simplify]: iters left: 5 (73 enodes) 129.184 * * [simplify]: iters left: 4 (114 enodes) 129.221 * * [simplify]: iters left: 3 (201 enodes) 129.306 * * [simplify]: iters left: 2 (456 enodes) 129.501 * * [simplify]: Extracting #0: cost 1 inf + 0 129.501 * * [simplify]: Extracting #1: cost 90 inf + 0 129.502 * * [simplify]: Extracting #2: cost 283 inf + 0 129.505 * * [simplify]: Extracting #3: cost 377 inf + 2 129.509 * * [simplify]: Extracting #4: cost 368 inf + 5079 129.517 * * [simplify]: Extracting #5: cost 306 inf + 27965 129.533 * * [simplify]: Extracting #6: cost 235 inf + 70940 129.565 * * [simplify]: Extracting #7: cost 139 inf + 152626 129.632 * * [simplify]: Extracting #8: cost 7 inf + 283835 129.680 * * [simplify]: Extracting #9: cost 0 inf + 290174 129.747 * [simplify]: Simplified to (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (pow (sqrt n) (/ (- 1 k) 2))) 129.747 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 129.748 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 129.748 * * [simplify]: iters left: 6 (16 enodes) 129.757 * * [simplify]: iters left: 5 (64 enodes) 129.776 * * [simplify]: iters left: 4 (103 enodes) 129.795 * * [simplify]: iters left: 3 (171 enodes) 129.844 * * [simplify]: iters left: 2 (340 enodes) 129.939 * * [simplify]: Extracting #0: cost 1 inf + 0 129.940 * * [simplify]: Extracting #1: cost 60 inf + 0 129.940 * * [simplify]: Extracting #2: cost 174 inf + 0 129.941 * * [simplify]: Extracting #3: cost 246 inf + 2 129.942 * * [simplify]: Extracting #4: cost 260 inf + 1203 129.945 * * [simplify]: Extracting #5: cost 199 inf + 20004 129.961 * * [simplify]: Extracting #6: cost 33 inf + 153630 130.008 * * [simplify]: Extracting #7: cost 0 inf + 183135 130.050 * * [simplify]: Extracting #8: cost 0 inf + 181956 130.092 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 130.092 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 130.092 * * * * [progress]: [ 211 / 471 ] simplifiying candidate # 130.093 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 130.093 * * [simplify]: iters left: 6 (17 enodes) 130.097 * * [simplify]: iters left: 5 (68 enodes) 130.108 * * [simplify]: iters left: 4 (104 enodes) 130.130 * * [simplify]: iters left: 3 (174 enodes) 130.169 * * [simplify]: iters left: 2 (362 enodes) 130.294 * * [simplify]: Extracting #0: cost 1 inf + 0 130.295 * * [simplify]: Extracting #1: cost 60 inf + 0 130.295 * * [simplify]: Extracting #2: cost 178 inf + 0 130.296 * * [simplify]: Extracting #3: cost 254 inf + 2 130.297 * * [simplify]: Extracting #4: cost 253 inf + 2865 130.300 * * [simplify]: Extracting #5: cost 192 inf + 23006 130.308 * * [simplify]: Extracting #6: cost 102 inf + 83490 130.330 * * [simplify]: Extracting #7: cost 23 inf + 152091 130.359 * * [simplify]: Extracting #8: cost 0 inf + 172025 130.399 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 130.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 130.399 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 130.399 * * [simplify]: iters left: 6 (16 enodes) 130.408 * * [simplify]: iters left: 5 (64 enodes) 130.429 * * [simplify]: iters left: 4 (104 enodes) 130.455 * * [simplify]: iters left: 3 (172 enodes) 130.497 * * [simplify]: iters left: 2 (342 enodes) 130.591 * * [simplify]: Extracting #0: cost 1 inf + 0 130.591 * * [simplify]: Extracting #1: cost 60 inf + 0 130.591 * * [simplify]: Extracting #2: cost 174 inf + 0 130.592 * * [simplify]: Extracting #3: cost 250 inf + 2 130.593 * * [simplify]: Extracting #4: cost 253 inf + 3021 130.598 * * [simplify]: Extracting #5: cost 157 inf + 48901 130.621 * * [simplify]: Extracting #6: cost 16 inf + 168583 130.657 * * [simplify]: Extracting #7: cost 0 inf + 178155 130.679 * * [simplify]: Extracting #8: cost 0 inf + 177904 130.716 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))) 130.716 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 130.716 * * * * [progress]: [ 212 / 471 ] simplifiying candidate # 130.717 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 130.717 * * [simplify]: iters left: 6 (13 enodes) 130.724 * * [simplify]: iters left: 5 (50 enodes) 130.742 * * [simplify]: iters left: 4 (79 enodes) 130.770 * * [simplify]: iters left: 3 (116 enodes) 130.799 * * [simplify]: iters left: 2 (207 enodes) 130.873 * * [simplify]: iters left: 1 (401 enodes) 131.071 * * [simplify]: Extracting #0: cost 1 inf + 0 131.072 * * [simplify]: Extracting #1: cost 38 inf + 0 131.072 * * [simplify]: Extracting #2: cost 111 inf + 1 131.074 * * [simplify]: Extracting #3: cost 178 inf + 4 131.076 * * [simplify]: Extracting #4: cost 179 inf + 1134 131.080 * * [simplify]: Extracting #5: cost 131 inf + 8153 131.096 * * [simplify]: Extracting #6: cost 65 inf + 37271 131.121 * * [simplify]: Extracting #7: cost 4 inf + 84725 131.140 * * [simplify]: Extracting #8: cost 0 inf + 85631 131.154 * * [simplify]: Extracting #9: cost 0 inf + 85339 131.173 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) 131.173 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 131.174 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 131.174 * * [simplify]: iters left: 6 (15 enodes) 131.181 * * [simplify]: iters left: 5 (61 enodes) 131.197 * * [simplify]: iters left: 4 (104 enodes) 131.217 * * [simplify]: iters left: 3 (197 enodes) 131.262 * * [simplify]: Extracting #0: cost 1 inf + 0 131.262 * * [simplify]: Extracting #1: cost 38 inf + 0 131.262 * * [simplify]: Extracting #2: cost 129 inf + 0 131.263 * * [simplify]: Extracting #3: cost 167 inf + 1 131.264 * * [simplify]: Extracting #4: cost 154 inf + 1211 131.265 * * [simplify]: Extracting #5: cost 108 inf + 15140 131.272 * * [simplify]: Extracting #6: cost 30 inf + 67027 131.284 * * [simplify]: Extracting #7: cost 0 inf + 90793 131.294 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 131.294 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 131.295 * * * * [progress]: [ 213 / 471 ] simplifiying candidate # 131.295 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 131.295 * * [simplify]: iters left: 6 (17 enodes) 131.300 * * [simplify]: iters left: 5 (71 enodes) 131.312 * * [simplify]: iters left: 4 (118 enodes) 131.332 * * [simplify]: iters left: 3 (225 enodes) 131.401 * * [simplify]: Extracting #0: cost 1 inf + 0 131.402 * * [simplify]: Extracting #1: cost 38 inf + 0 131.402 * * [simplify]: Extracting #2: cost 132 inf + 0 131.403 * * [simplify]: Extracting #3: cost 181 inf + 1 131.404 * * [simplify]: Extracting #4: cost 167 inf + 1257 131.409 * * [simplify]: Extracting #5: cost 114 inf + 17003 131.421 * * [simplify]: Extracting #6: cost 13 inf + 80164 131.432 * * [simplify]: Extracting #7: cost 0 inf + 89079 131.443 * * [simplify]: Extracting #8: cost 0 inf + 88953 131.454 * * [simplify]: Extracting #9: cost 0 inf + 88911 131.469 * [simplify]: Simplified to (* (/ (pow (sqrt n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4))))) 131.470 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (sqrt n) (- 1/4 (/ k 4))) (fabs (cbrt k))) (* (pow (sqrt n) (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 131.470 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 131.470 * * [simplify]: iters left: 6 (16 enodes) 131.475 * * [simplify]: iters left: 5 (67 enodes) 131.487 * * [simplify]: iters left: 4 (114 enodes) 131.510 * * [simplify]: iters left: 3 (221 enodes) 131.606 * * [simplify]: Extracting #0: cost 1 inf + 0 131.606 * * [simplify]: Extracting #1: cost 38 inf + 0 131.607 * * [simplify]: Extracting #2: cost 127 inf + 0 131.608 * * [simplify]: Extracting #3: cost 175 inf + 1 131.609 * * [simplify]: Extracting #4: cost 160 inf + 1252 131.613 * * [simplify]: Extracting #5: cost 110 inf + 14095 131.626 * * [simplify]: Extracting #6: cost 27 inf + 65647 131.637 * * [simplify]: Extracting #7: cost 0 inf + 86988 131.648 * * [simplify]: Extracting #8: cost 0 inf + 86432 131.659 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 131.659 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 131.659 * * * * [progress]: [ 214 / 471 ] simplifiying candidate # 131.659 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 131.659 * * [simplify]: iters left: 6 (13 enodes) 131.666 * * [simplify]: iters left: 5 (54 enodes) 131.691 * * [simplify]: iters left: 4 (97 enodes) 131.718 * * [simplify]: iters left: 3 (190 enodes) 131.775 * * [simplify]: Extracting #0: cost 1 inf + 0 131.775 * * [simplify]: Extracting #1: cost 38 inf + 0 131.775 * * [simplify]: Extracting #2: cost 129 inf + 0 131.776 * * [simplify]: Extracting #3: cost 163 inf + 2 131.776 * * [simplify]: Extracting #4: cost 151 inf + 1255 131.778 * * [simplify]: Extracting #5: cost 105 inf + 14568 131.786 * * [simplify]: Extracting #6: cost 37 inf + 55588 131.796 * * [simplify]: Extracting #7: cost 0 inf + 83538 131.814 * * [simplify]: Extracting #8: cost 0 inf + 82873 131.833 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 131.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 131.833 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 131.833 * * [simplify]: iters left: 6 (14 enodes) 131.837 * * [simplify]: iters left: 5 (57 enodes) 131.847 * * [simplify]: iters left: 4 (100 enodes) 131.865 * * [simplify]: iters left: 3 (189 enodes) 131.926 * * [simplify]: Extracting #0: cost 1 inf + 0 131.927 * * [simplify]: Extracting #1: cost 38 inf + 0 131.927 * * [simplify]: Extracting #2: cost 129 inf + 0 131.927 * * [simplify]: Extracting #3: cost 165 inf + 2 131.928 * * [simplify]: Extracting #4: cost 153 inf + 798 131.932 * * [simplify]: Extracting #5: cost 98 inf + 16444 131.946 * * [simplify]: Extracting #6: cost 31 inf + 61020 131.961 * * [simplify]: Extracting #7: cost 1 inf + 82352 131.972 * * [simplify]: Extracting #8: cost 0 inf + 82612 131.982 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 131.982 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 131.982 * * * * [progress]: [ 215 / 471 ] simplifiying candidate # 131.982 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 131.982 * * [simplify]: iters left: 6 (17 enodes) 131.994 * * [simplify]: iters left: 5 (69 enodes) 132.017 * * [simplify]: iters left: 4 (110 enodes) 132.053 * * [simplify]: iters left: 3 (197 enodes) 132.103 * * [simplify]: iters left: 2 (451 enodes) 132.293 * * [simplify]: Extracting #0: cost 1 inf + 0 132.293 * * [simplify]: Extracting #1: cost 83 inf + 0 132.295 * * [simplify]: Extracting #2: cost 277 inf + 0 132.297 * * [simplify]: Extracting #3: cost 373 inf + 2 132.301 * * [simplify]: Extracting #4: cost 362 inf + 6466 132.315 * * [simplify]: Extracting #5: cost 289 inf + 34991 132.341 * * [simplify]: Extracting #6: cost 118 inf + 168412 132.404 * * [simplify]: Extracting #7: cost 3 inf + 283204 132.472 * * [simplify]: Extracting #8: cost 0 inf + 285259 132.508 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 132.508 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 132.508 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 132.508 * * [simplify]: iters left: 6 (16 enodes) 132.513 * * [simplify]: iters left: 5 (64 enodes) 132.524 * * [simplify]: iters left: 4 (103 enodes) 132.540 * * [simplify]: iters left: 3 (171 enodes) 132.604 * * [simplify]: iters left: 2 (340 enodes) 132.711 * * [simplify]: Extracting #0: cost 1 inf + 0 132.711 * * [simplify]: Extracting #1: cost 60 inf + 0 132.712 * * [simplify]: Extracting #2: cost 174 inf + 0 132.714 * * [simplify]: Extracting #3: cost 246 inf + 2 132.716 * * [simplify]: Extracting #4: cost 260 inf + 1043 132.721 * * [simplify]: Extracting #5: cost 199 inf + 19444 132.739 * * [simplify]: Extracting #6: cost 33 inf + 150150 132.760 * * [simplify]: Extracting #7: cost 0 inf + 179175 132.796 * * [simplify]: Extracting #8: cost 0 inf + 177996 132.835 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 132.836 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 132.836 * * * * [progress]: [ 216 / 471 ] simplifiying candidate # 132.836 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 132.836 * * [simplify]: iters left: 6 (16 enodes) 132.841 * * [simplify]: iters left: 5 (64 enodes) 132.851 * * [simplify]: iters left: 4 (104 enodes) 132.870 * * [simplify]: iters left: 3 (172 enodes) 132.937 * * [simplify]: iters left: 2 (342 enodes) 133.048 * * [simplify]: Extracting #0: cost 1 inf + 0 133.048 * * [simplify]: Extracting #1: cost 60 inf + 0 133.049 * * [simplify]: Extracting #2: cost 174 inf + 0 133.049 * * [simplify]: Extracting #3: cost 250 inf + 2 133.051 * * [simplify]: Extracting #4: cost 253 inf + 2901 133.056 * * [simplify]: Extracting #5: cost 157 inf + 47901 133.078 * * [simplify]: Extracting #6: cost 16 inf + 164863 133.107 * * [simplify]: Extracting #7: cost 0 inf + 174195 133.153 * * [simplify]: Extracting #8: cost 0 inf + 173944 133.195 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 133.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 133.196 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 133.196 * * [simplify]: iters left: 6 (16 enodes) 133.205 * * [simplify]: iters left: 5 (64 enodes) 133.220 * * [simplify]: iters left: 4 (104 enodes) 133.237 * * [simplify]: iters left: 3 (172 enodes) 133.287 * * [simplify]: iters left: 2 (342 enodes) 133.414 * * [simplify]: Extracting #0: cost 1 inf + 0 133.414 * * [simplify]: Extracting #1: cost 60 inf + 0 133.415 * * [simplify]: Extracting #2: cost 174 inf + 0 133.416 * * [simplify]: Extracting #3: cost 250 inf + 2 133.417 * * [simplify]: Extracting #4: cost 253 inf + 2901 133.422 * * [simplify]: Extracting #5: cost 157 inf + 47901 133.445 * * [simplify]: Extracting #6: cost 16 inf + 164863 133.491 * * [simplify]: Extracting #7: cost 0 inf + 174195 133.512 * * [simplify]: Extracting #8: cost 0 inf + 173944 133.551 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 133.551 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 133.551 * * * * [progress]: [ 217 / 471 ] simplifiying candidate # 133.552 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 133.552 * * [simplify]: iters left: 6 (12 enodes) 133.556 * * [simplify]: iters left: 5 (47 enodes) 133.564 * * [simplify]: iters left: 4 (72 enodes) 133.576 * * [simplify]: iters left: 3 (119 enodes) 133.618 * * [simplify]: iters left: 2 (246 enodes) 133.679 * * [simplify]: Extracting #0: cost 1 inf + 0 133.679 * * [simplify]: Extracting #1: cost 28 inf + 0 133.679 * * [simplify]: Extracting #2: cost 82 inf + 1 133.680 * * [simplify]: Extracting #3: cost 138 inf + 3 133.680 * * [simplify]: Extracting #4: cost 133 inf + 1390 133.686 * * [simplify]: Extracting #5: cost 64 inf + 25748 133.693 * * [simplify]: Extracting #6: cost 5 inf + 55836 133.707 * * [simplify]: Extracting #7: cost 0 inf + 56988 133.721 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 133.721 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 133.722 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 133.722 * * [simplify]: iters left: 6 (15 enodes) 133.730 * * [simplify]: iters left: 5 (61 enodes) 133.751 * * [simplify]: iters left: 4 (104 enodes) 133.777 * * [simplify]: iters left: 3 (197 enodes) 133.847 * * [simplify]: Extracting #0: cost 1 inf + 0 133.848 * * [simplify]: Extracting #1: cost 38 inf + 0 133.848 * * [simplify]: Extracting #2: cost 129 inf + 0 133.849 * * [simplify]: Extracting #3: cost 167 inf + 1 133.850 * * [simplify]: Extracting #4: cost 154 inf + 1131 133.855 * * [simplify]: Extracting #5: cost 108 inf + 14660 133.868 * * [simplify]: Extracting #6: cost 30 inf + 65107 133.888 * * [simplify]: Extracting #7: cost 0 inf + 88193 133.908 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 133.908 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 133.909 * * * * [progress]: [ 218 / 471 ] simplifiying candidate # 133.909 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 133.909 * * [simplify]: iters left: 6 (16 enodes) 133.917 * * [simplify]: iters left: 5 (67 enodes) 133.932 * * [simplify]: iters left: 4 (114 enodes) 133.956 * * [simplify]: iters left: 3 (221 enodes) 134.030 * * [simplify]: Extracting #0: cost 1 inf + 0 134.030 * * [simplify]: Extracting #1: cost 38 inf + 0 134.030 * * [simplify]: Extracting #2: cost 127 inf + 0 134.034 * * [simplify]: Extracting #3: cost 175 inf + 1 134.036 * * [simplify]: Extracting #4: cost 160 inf + 1172 134.040 * * [simplify]: Extracting #5: cost 110 inf + 13615 134.053 * * [simplify]: Extracting #6: cost 27 inf + 63647 134.074 * * [simplify]: Extracting #7: cost 0 inf + 84388 134.091 * * [simplify]: Extracting #8: cost 0 inf + 83832 134.101 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 134.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 134.101 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 134.101 * * [simplify]: iters left: 6 (16 enodes) 134.106 * * [simplify]: iters left: 5 (67 enodes) 134.121 * * [simplify]: iters left: 4 (114 enodes) 134.152 * * [simplify]: iters left: 3 (221 enodes) 134.204 * * [simplify]: Extracting #0: cost 1 inf + 0 134.204 * * [simplify]: Extracting #1: cost 38 inf + 0 134.204 * * [simplify]: Extracting #2: cost 127 inf + 0 134.205 * * [simplify]: Extracting #3: cost 175 inf + 1 134.206 * * [simplify]: Extracting #4: cost 160 inf + 1172 134.207 * * [simplify]: Extracting #5: cost 110 inf + 13615 134.214 * * [simplify]: Extracting #6: cost 27 inf + 63647 134.224 * * [simplify]: Extracting #7: cost 0 inf + 84388 134.241 * * [simplify]: Extracting #8: cost 0 inf + 83832 134.252 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 134.253 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 134.253 * * * * [progress]: [ 219 / 471 ] simplifiying candidate # 134.253 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 134.253 * * [simplify]: iters left: 6 (12 enodes) 134.257 * * [simplify]: iters left: 5 (51 enodes) 134.266 * * [simplify]: iters left: 4 (85 enodes) 134.281 * * [simplify]: iters left: 3 (163 enodes) 134.353 * * [simplify]: iters left: 2 (460 enodes) 134.600 * * [simplify]: Extracting #0: cost 1 inf + 0 134.601 * * [simplify]: Extracting #1: cost 123 inf + 0 134.602 * * [simplify]: Extracting #2: cost 449 inf + 1 134.604 * * [simplify]: Extracting #3: cost 512 inf + 4 134.606 * * [simplify]: Extracting #4: cost 516 inf + 93 134.610 * * [simplify]: Extracting #5: cost 467 inf + 14708 134.624 * * [simplify]: Extracting #6: cost 268 inf + 138351 134.687 * * [simplify]: Extracting #7: cost 11 inf + 340653 134.771 * * [simplify]: Extracting #8: cost 0 inf + 343426 134.846 * * [simplify]: Extracting #9: cost 0 inf + 342681 134.909 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) 134.910 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 134.910 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 134.910 * * [simplify]: iters left: 6 (13 enodes) 134.918 * * [simplify]: iters left: 5 (54 enodes) 134.934 * * [simplify]: iters left: 4 (97 enodes) 134.951 * * [simplify]: iters left: 3 (190 enodes) 135.018 * * [simplify]: Extracting #0: cost 1 inf + 0 135.018 * * [simplify]: Extracting #1: cost 38 inf + 0 135.018 * * [simplify]: Extracting #2: cost 129 inf + 0 135.019 * * [simplify]: Extracting #3: cost 160 inf + 44 135.019 * * [simplify]: Extracting #4: cost 149 inf + 1216 135.021 * * [simplify]: Extracting #5: cost 105 inf + 14441 135.027 * * [simplify]: Extracting #6: cost 27 inf + 61547 135.041 * * [simplify]: Extracting #7: cost 0 inf + 80840 135.059 * * [simplify]: Extracting #8: cost 0 inf + 80186 135.077 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 135.077 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 135.077 * * * * [progress]: [ 220 / 471 ] simplifiying candidate # 135.078 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 135.078 * * [simplify]: iters left: 6 (16 enodes) 135.092 * * [simplify]: iters left: 5 (66 enodes) 135.106 * * [simplify]: iters left: 4 (109 enodes) 135.125 * * [simplify]: iters left: 3 (191 enodes) 135.187 * * [simplify]: iters left: 2 (422 enodes) 135.423 * * [simplify]: Extracting #0: cost 1 inf + 0 135.423 * * [simplify]: Extracting #1: cost 88 inf + 0 135.424 * * [simplify]: Extracting #2: cost 262 inf + 1 135.426 * * [simplify]: Extracting #3: cost 332 inf + 3 135.427 * * [simplify]: Extracting #4: cost 360 inf + 93 135.429 * * [simplify]: Extracting #5: cost 334 inf + 3499 135.433 * * [simplify]: Extracting #6: cost 284 inf + 19807 135.460 * * [simplify]: Extracting #7: cost 99 inf + 155120 135.494 * * [simplify]: Extracting #8: cost 5 inf + 242512 135.532 * * [simplify]: Extracting #9: cost 0 inf + 244833 135.596 * * [simplify]: Extracting #10: cost 0 inf + 243824 135.633 * * [simplify]: Extracting #11: cost 0 inf + 243613 135.675 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) 135.675 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 135.676 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 135.676 * * [simplify]: iters left: 6 (15 enodes) 135.686 * * [simplify]: iters left: 5 (61 enodes) 135.706 * * [simplify]: iters left: 4 (100 enodes) 135.739 * * [simplify]: iters left: 3 (172 enodes) 135.789 * * [simplify]: iters left: 2 (347 enodes) 135.874 * * [simplify]: Extracting #0: cost 1 inf + 0 135.875 * * [simplify]: Extracting #1: cost 60 inf + 0 135.875 * * [simplify]: Extracting #2: cost 175 inf + 0 135.877 * * [simplify]: Extracting #3: cost 242 inf + 44 135.880 * * [simplify]: Extracting #4: cost 241 inf + 5207 135.893 * * [simplify]: Extracting #5: cost 170 inf + 32938 135.912 * * [simplify]: Extracting #6: cost 84 inf + 87246 135.950 * * [simplify]: Extracting #7: cost 5 inf + 163776 135.988 * * [simplify]: Extracting #8: cost 0 inf + 167995 136.010 * * [simplify]: Extracting #9: cost 0 inf + 167743 136.047 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 136.047 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 136.047 * * * * [progress]: [ 221 / 471 ] simplifiying candidate # 136.048 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 136.048 * * [simplify]: iters left: 6 (15 enodes) 136.057 * * [simplify]: iters left: 5 (61 enodes) 136.077 * * [simplify]: iters left: 4 (96 enodes) 136.109 * * [simplify]: iters left: 3 (158 enodes) 136.140 * * [simplify]: iters left: 2 (319 enodes) 136.273 * * [simplify]: Extracting #0: cost 1 inf + 0 136.274 * * [simplify]: Extracting #1: cost 53 inf + 0 136.275 * * [simplify]: Extracting #2: cost 145 inf + 1 136.276 * * [simplify]: Extracting #3: cost 206 inf + 3 136.278 * * [simplify]: Extracting #4: cost 237 inf + 93 136.281 * * [simplify]: Extracting #5: cost 207 inf + 5621 136.290 * * [simplify]: Extracting #6: cost 120 inf + 41565 136.316 * * [simplify]: Extracting #7: cost 22 inf + 116257 136.349 * * [simplify]: Extracting #8: cost 0 inf + 133458 136.372 * * [simplify]: Extracting #9: cost 0 inf + 132017 136.395 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 136.395 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 136.395 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 136.395 * * [simplify]: iters left: 6 (15 enodes) 136.404 * * [simplify]: iters left: 5 (61 enodes) 136.415 * * [simplify]: iters left: 4 (101 enodes) 136.431 * * [simplify]: iters left: 3 (173 enodes) 136.489 * * [simplify]: iters left: 2 (344 enodes) 136.601 * * [simplify]: Extracting #0: cost 1 inf + 0 136.601 * * [simplify]: Extracting #1: cost 60 inf + 0 136.602 * * [simplify]: Extracting #2: cost 171 inf + 0 136.603 * * [simplify]: Extracting #3: cost 243 inf + 44 136.605 * * [simplify]: Extracting #4: cost 238 inf + 5870 136.611 * * [simplify]: Extracting #5: cost 118 inf + 66659 136.636 * * [simplify]: Extracting #6: cost 16 inf + 145015 136.676 * * [simplify]: Extracting #7: cost 0 inf + 159570 136.698 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))) 136.698 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))))) 136.698 * * * * [progress]: [ 222 / 471 ] simplifiying candidate # 136.698 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 136.698 * * [simplify]: iters left: 6 (11 enodes) 136.702 * * [simplify]: iters left: 5 (44 enodes) 136.712 * * [simplify]: iters left: 4 (65 enodes) 136.733 * * [simplify]: iters left: 3 (106 enodes) 136.760 * * [simplify]: iters left: 2 (212 enodes) 136.830 * * [simplify]: iters left: 1 (436 enodes) 137.047 * * [simplify]: Extracting #0: cost 1 inf + 0 137.047 * * [simplify]: Extracting #1: cost 57 inf + 0 137.048 * * [simplify]: Extracting #2: cost 166 inf + 2 137.049 * * [simplify]: Extracting #3: cost 216 inf + 90 137.050 * * [simplify]: Extracting #4: cost 202 inf + 1096 137.054 * * [simplify]: Extracting #5: cost 132 inf + 18415 137.079 * * [simplify]: Extracting #6: cost 13 inf + 93426 137.094 * * [simplify]: Extracting #7: cost 0 inf + 103358 137.114 * * [simplify]: Extracting #8: cost 0 inf + 103357 137.143 * [simplify]: Simplified to (pow (sqrt n) (* 1/2 (- 1 k))) 137.143 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (* 1/2 (- 1 k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 137.143 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 137.143 * * [simplify]: iters left: 6 (14 enodes) 137.147 * * [simplify]: iters left: 5 (58 enodes) 137.158 * * [simplify]: iters left: 4 (101 enodes) 137.175 * * [simplify]: iters left: 3 (190 enodes) 137.220 * * [simplify]: iters left: 2 (495 enodes) 137.419 * * [simplify]: Extracting #0: cost 1 inf + 0 137.419 * * [simplify]: Extracting #1: cost 119 inf + 0 137.420 * * [simplify]: Extracting #2: cost 501 inf + 0 137.423 * * [simplify]: Extracting #3: cost 600 inf + 85 137.426 * * [simplify]: Extracting #4: cost 585 inf + 3452 137.435 * * [simplify]: Extracting #5: cost 526 inf + 19820 137.464 * * [simplify]: Extracting #6: cost 188 inf + 276311 137.529 * * [simplify]: Extracting #7: cost 13 inf + 430206 137.626 * * [simplify]: Extracting #8: cost 0 inf + 436391 137.700 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 137.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 137.700 * * * * [progress]: [ 223 / 471 ] simplifiying candidate # 137.700 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 137.701 * * [simplify]: iters left: 6 (15 enodes) 137.710 * * [simplify]: iters left: 5 (64 enodes) 137.730 * * [simplify]: iters left: 4 (106 enodes) 137.752 * * [simplify]: iters left: 3 (200 enodes) 137.820 * * [simplify]: iters left: 2 (492 enodes) 138.111 * * [simplify]: Extracting #0: cost 1 inf + 0 138.111 * * [simplify]: Extracting #1: cost 123 inf + 0 138.114 * * [simplify]: Extracting #2: cost 414 inf + 1 138.117 * * [simplify]: Extracting #3: cost 485 inf + 3 138.121 * * [simplify]: Extracting #4: cost 488 inf + 181 138.124 * * [simplify]: Extracting #5: cost 442 inf + 6817 138.135 * * [simplify]: Extracting #6: cost 263 inf + 107483 138.172 * * [simplify]: Extracting #7: cost 17 inf + 319926 138.246 * * [simplify]: Extracting #8: cost 0 inf + 334425 138.324 * * [simplify]: Extracting #9: cost 0 inf + 333593 138.367 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 138.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 138.368 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 138.368 * * [simplify]: iters left: 6 (15 enodes) 138.372 * * [simplify]: iters left: 5 (64 enodes) 138.383 * * [simplify]: iters left: 4 (111 enodes) 138.422 * * [simplify]: iters left: 3 (218 enodes) 138.504 * * [simplify]: Extracting #0: cost 1 inf + 0 138.505 * * [simplify]: Extracting #1: cost 38 inf + 0 138.505 * * [simplify]: Extracting #2: cost 127 inf + 0 138.505 * * [simplify]: Extracting #3: cost 169 inf + 84 138.506 * * [simplify]: Extracting #4: cost 157 inf + 1464 138.509 * * [simplify]: Extracting #5: cost 98 inf + 20193 138.515 * * [simplify]: Extracting #6: cost 21 inf + 66314 138.532 * * [simplify]: Extracting #7: cost 0 inf + 82147 138.555 * * [simplify]: Extracting #8: cost 0 inf + 81591 138.569 * * [simplify]: Extracting #9: cost 0 inf + 81327 138.578 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 138.579 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 138.579 * * * * [progress]: [ 224 / 471 ] simplifiying candidate # 138.579 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.579 * * [simplify]: iters left: 6 (13 enodes) 138.583 * * [simplify]: iters left: 5 (54 enodes) 138.593 * * [simplify]: iters left: 4 (97 enodes) 138.623 * * [simplify]: iters left: 3 (190 enodes) 138.708 * * [simplify]: Extracting #0: cost 1 inf + 0 138.708 * * [simplify]: Extracting #1: cost 38 inf + 0 138.708 * * [simplify]: Extracting #2: cost 129 inf + 0 138.709 * * [simplify]: Extracting #3: cost 163 inf + 2 138.709 * * [simplify]: Extracting #4: cost 151 inf + 1255 138.711 * * [simplify]: Extracting #5: cost 105 inf + 14568 138.717 * * [simplify]: Extracting #6: cost 37 inf + 55588 138.726 * * [simplify]: Extracting #7: cost 0 inf + 83538 138.745 * * [simplify]: Extracting #8: cost 0 inf + 82873 138.764 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.764 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 138.765 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 138.765 * * [simplify]: iters left: 6 (14 enodes) 138.772 * * [simplify]: iters left: 5 (57 enodes) 138.793 * * [simplify]: iters left: 4 (100 enodes) 138.829 * * [simplify]: iters left: 3 (189 enodes) 138.884 * * [simplify]: Extracting #0: cost 1 inf + 0 138.884 * * [simplify]: Extracting #1: cost 38 inf + 0 138.885 * * [simplify]: Extracting #2: cost 129 inf + 0 138.886 * * [simplify]: Extracting #3: cost 165 inf + 2 138.887 * * [simplify]: Extracting #4: cost 153 inf + 798 138.892 * * [simplify]: Extracting #5: cost 98 inf + 16444 138.910 * * [simplify]: Extracting #6: cost 31 inf + 61020 138.930 * * [simplify]: Extracting #7: cost 1 inf + 82352 138.950 * * [simplify]: Extracting #8: cost 0 inf + 82612 138.960 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 138.960 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 138.960 * * * * [progress]: [ 225 / 471 ] simplifiying candidate # 138.961 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 138.961 * * [simplify]: iters left: 6 (17 enodes) 138.965 * * [simplify]: iters left: 5 (69 enodes) 138.977 * * [simplify]: iters left: 4 (110 enodes) 138.999 * * [simplify]: iters left: 3 (197 enodes) 139.068 * * [simplify]: iters left: 2 (451 enodes) 139.606 * * [simplify]: Extracting #0: cost 1 inf + 0 139.606 * * [simplify]: Extracting #1: cost 83 inf + 0 139.607 * * [simplify]: Extracting #2: cost 277 inf + 0 139.608 * * [simplify]: Extracting #3: cost 373 inf + 2 139.610 * * [simplify]: Extracting #4: cost 362 inf + 6466 139.614 * * [simplify]: Extracting #5: cost 289 inf + 34991 139.638 * * [simplify]: Extracting #6: cost 118 inf + 168412 139.687 * * [simplify]: Extracting #7: cost 3 inf + 283204 139.725 * * [simplify]: Extracting #8: cost 0 inf + 285259 139.791 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 139.792 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 139.792 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 139.792 * * [simplify]: iters left: 6 (16 enodes) 139.801 * * [simplify]: iters left: 5 (64 enodes) 139.814 * * [simplify]: iters left: 4 (103 enodes) 139.839 * * [simplify]: iters left: 3 (171 enodes) 139.873 * * [simplify]: iters left: 2 (340 enodes) 139.967 * * [simplify]: Extracting #0: cost 1 inf + 0 139.968 * * [simplify]: Extracting #1: cost 60 inf + 0 139.968 * * [simplify]: Extracting #2: cost 174 inf + 0 139.969 * * [simplify]: Extracting #3: cost 246 inf + 2 139.970 * * [simplify]: Extracting #4: cost 260 inf + 1043 139.973 * * [simplify]: Extracting #5: cost 199 inf + 19444 140.003 * * [simplify]: Extracting #6: cost 33 inf + 150150 140.039 * * [simplify]: Extracting #7: cost 0 inf + 179175 140.069 * * [simplify]: Extracting #8: cost 0 inf + 177996 140.098 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 140.098 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 140.098 * * * * [progress]: [ 226 / 471 ] simplifiying candidate # 140.098 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 140.099 * * [simplify]: iters left: 6 (16 enodes) 140.103 * * [simplify]: iters left: 5 (64 enodes) 140.114 * * [simplify]: iters left: 4 (104 enodes) 140.150 * * [simplify]: iters left: 3 (172 enodes) 140.191 * * [simplify]: iters left: 2 (342 enodes) 140.312 * * [simplify]: Extracting #0: cost 1 inf + 0 140.313 * * [simplify]: Extracting #1: cost 60 inf + 0 140.314 * * [simplify]: Extracting #2: cost 174 inf + 0 140.315 * * [simplify]: Extracting #3: cost 250 inf + 2 140.317 * * [simplify]: Extracting #4: cost 253 inf + 2901 140.327 * * [simplify]: Extracting #5: cost 157 inf + 47901 140.367 * * [simplify]: Extracting #6: cost 16 inf + 164863 140.401 * * [simplify]: Extracting #7: cost 0 inf + 174195 140.422 * * [simplify]: Extracting #8: cost 0 inf + 173944 140.463 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 140.463 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 140.463 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 140.463 * * [simplify]: iters left: 6 (16 enodes) 140.472 * * [simplify]: iters left: 5 (64 enodes) 140.497 * * [simplify]: iters left: 4 (104 enodes) 140.530 * * [simplify]: iters left: 3 (172 enodes) 140.565 * * [simplify]: iters left: 2 (342 enodes) 140.691 * * [simplify]: Extracting #0: cost 1 inf + 0 140.691 * * [simplify]: Extracting #1: cost 60 inf + 0 140.692 * * [simplify]: Extracting #2: cost 174 inf + 0 140.693 * * [simplify]: Extracting #3: cost 250 inf + 2 140.694 * * [simplify]: Extracting #4: cost 253 inf + 2901 140.699 * * [simplify]: Extracting #5: cost 157 inf + 47901 140.730 * * [simplify]: Extracting #6: cost 16 inf + 164863 140.767 * * [simplify]: Extracting #7: cost 0 inf + 174195 140.789 * * [simplify]: Extracting #8: cost 0 inf + 173944 140.822 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))) 140.822 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 140.823 * * * * [progress]: [ 227 / 471 ] simplifiying candidate # 140.823 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 140.823 * * [simplify]: iters left: 6 (12 enodes) 140.830 * * [simplify]: iters left: 5 (47 enodes) 140.849 * * [simplify]: iters left: 4 (72 enodes) 140.873 * * [simplify]: iters left: 3 (119 enodes) 140.919 * * [simplify]: iters left: 2 (246 enodes) 141.023 * * [simplify]: Extracting #0: cost 1 inf + 0 141.023 * * [simplify]: Extracting #1: cost 28 inf + 0 141.023 * * [simplify]: Extracting #2: cost 82 inf + 1 141.024 * * [simplify]: Extracting #3: cost 138 inf + 3 141.024 * * [simplify]: Extracting #4: cost 133 inf + 1390 141.027 * * [simplify]: Extracting #5: cost 64 inf + 25748 141.033 * * [simplify]: Extracting #6: cost 5 inf + 55836 141.041 * * [simplify]: Extracting #7: cost 0 inf + 56988 141.048 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 141.048 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 141.049 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 141.049 * * [simplify]: iters left: 6 (15 enodes) 141.053 * * [simplify]: iters left: 5 (61 enodes) 141.069 * * [simplify]: iters left: 4 (104 enodes) 141.110 * * [simplify]: iters left: 3 (197 enodes) 141.184 * * [simplify]: Extracting #0: cost 1 inf + 0 141.185 * * [simplify]: Extracting #1: cost 38 inf + 0 141.185 * * [simplify]: Extracting #2: cost 129 inf + 0 141.186 * * [simplify]: Extracting #3: cost 167 inf + 1 141.186 * * [simplify]: Extracting #4: cost 154 inf + 1131 141.189 * * [simplify]: Extracting #5: cost 108 inf + 14660 141.195 * * [simplify]: Extracting #6: cost 30 inf + 65107 141.214 * * [simplify]: Extracting #7: cost 0 inf + 88193 141.234 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 141.235 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow (sqrt n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 141.235 * * * * [progress]: [ 228 / 471 ] simplifiying candidate # 141.235 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 141.235 * * [simplify]: iters left: 6 (16 enodes) 141.244 * * [simplify]: iters left: 5 (67 enodes) 141.266 * * [simplify]: iters left: 4 (114 enodes) 141.293 * * [simplify]: iters left: 3 (221 enodes) 141.362 * * [simplify]: Extracting #0: cost 1 inf + 0 141.362 * * [simplify]: Extracting #1: cost 38 inf + 0 141.362 * * [simplify]: Extracting #2: cost 127 inf + 0 141.363 * * [simplify]: Extracting #3: cost 175 inf + 1 141.364 * * [simplify]: Extracting #4: cost 160 inf + 1172 141.366 * * [simplify]: Extracting #5: cost 110 inf + 13615 141.376 * * [simplify]: Extracting #6: cost 27 inf + 63647 141.395 * * [simplify]: Extracting #7: cost 0 inf + 84388 141.412 * * [simplify]: Extracting #8: cost 0 inf + 83832 141.422 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 141.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 141.422 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 141.422 * * [simplify]: iters left: 6 (16 enodes) 141.430 * * [simplify]: iters left: 5 (67 enodes) 141.442 * * [simplify]: iters left: 4 (114 enodes) 141.471 * * [simplify]: iters left: 3 (221 enodes) 141.539 * * [simplify]: Extracting #0: cost 1 inf + 0 141.539 * * [simplify]: Extracting #1: cost 38 inf + 0 141.539 * * [simplify]: Extracting #2: cost 127 inf + 0 141.540 * * [simplify]: Extracting #3: cost 175 inf + 1 141.541 * * [simplify]: Extracting #4: cost 160 inf + 1172 141.543 * * [simplify]: Extracting #5: cost 110 inf + 13615 141.549 * * [simplify]: Extracting #6: cost 27 inf + 63647 141.561 * * [simplify]: Extracting #7: cost 0 inf + 84388 141.577 * * [simplify]: Extracting #8: cost 0 inf + 83832 141.586 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))) 141.586 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (sqrt n) (/ (- 1 k) 2)))))) 141.586 * * * * [progress]: [ 229 / 471 ] simplifiying candidate # 141.587 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 141.587 * * [simplify]: iters left: 6 (11 enodes) 141.590 * * [simplify]: iters left: 5 (48 enodes) 141.598 * * [simplify]: iters left: 4 (83 enodes) 141.630 * * [simplify]: iters left: 3 (176 enodes) 141.690 * * [simplify]: Extracting #0: cost 1 inf + 0 141.690 * * [simplify]: Extracting #1: cost 41 inf + 0 141.690 * * [simplify]: Extracting #2: cost 123 inf + 1 141.691 * * [simplify]: Extracting #3: cost 156 inf + 3 141.691 * * [simplify]: Extracting #4: cost 157 inf + 91 141.692 * * [simplify]: Extracting #5: cost 149 inf + 1508 141.694 * * [simplify]: Extracting #6: cost 92 inf + 20668 141.701 * * [simplify]: Extracting #7: cost 14 inf + 68583 141.710 * * [simplify]: Extracting #8: cost 0 inf + 75955 141.722 * * [simplify]: Extracting #9: cost 0 inf + 75398 141.731 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 141.731 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 141.732 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 141.732 * * [simplify]: iters left: 6 (13 enodes) 141.736 * * [simplify]: iters left: 5 (54 enodes) 141.745 * * [simplify]: iters left: 4 (97 enodes) 141.762 * * [simplify]: iters left: 3 (190 enodes) 141.825 * * [simplify]: Extracting #0: cost 1 inf + 0 141.825 * * [simplify]: Extracting #1: cost 38 inf + 0 141.825 * * [simplify]: Extracting #2: cost 129 inf + 0 141.826 * * [simplify]: Extracting #3: cost 160 inf + 44 141.826 * * [simplify]: Extracting #4: cost 149 inf + 1216 141.828 * * [simplify]: Extracting #5: cost 105 inf + 14441 141.834 * * [simplify]: Extracting #6: cost 27 inf + 61547 141.843 * * [simplify]: Extracting #7: cost 0 inf + 80840 141.860 * * [simplify]: Extracting #8: cost 0 inf + 80186 141.880 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 141.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 141.881 * * * * [progress]: [ 230 / 471 ] simplifiying candidate # 141.881 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 141.881 * * [simplify]: iters left: 6 (15 enodes) 141.890 * * [simplify]: iters left: 5 (63 enodes) 141.912 * * [simplify]: iters left: 4 (104 enodes) 141.934 * * [simplify]: iters left: 3 (192 enodes) 141.978 * * [simplify]: iters left: 2 (448 enodes) 142.300 * * [simplify]: Extracting #0: cost 1 inf + 0 142.301 * * [simplify]: Extracting #1: cost 108 inf + 0 142.303 * * [simplify]: Extracting #2: cost 324 inf + 1 142.306 * * [simplify]: Extracting #3: cost 411 inf + 3 142.309 * * [simplify]: Extracting #4: cost 436 inf + 93 142.315 * * [simplify]: Extracting #5: cost 368 inf + 24740 142.333 * * [simplify]: Extracting #6: cost 239 inf + 106383 142.373 * * [simplify]: Extracting #7: cost 81 inf + 239123 142.465 * * [simplify]: Extracting #8: cost 0 inf + 307141 142.548 * * [simplify]: Extracting #9: cost 0 inf + 304676 142.604 * * [simplify]: Extracting #10: cost 0 inf + 304424 142.661 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) 142.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 142.661 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 142.661 * * [simplify]: iters left: 6 (15 enodes) 142.669 * * [simplify]: iters left: 5 (61 enodes) 142.682 * * [simplify]: iters left: 4 (100 enodes) 142.698 * * [simplify]: iters left: 3 (172 enodes) 142.755 * * [simplify]: iters left: 2 (347 enodes) 142.859 * * [simplify]: Extracting #0: cost 1 inf + 0 142.859 * * [simplify]: Extracting #1: cost 60 inf + 0 142.860 * * [simplify]: Extracting #2: cost 175 inf + 0 142.861 * * [simplify]: Extracting #3: cost 242 inf + 44 142.862 * * [simplify]: Extracting #4: cost 241 inf + 5207 142.866 * * [simplify]: Extracting #5: cost 170 inf + 32938 142.876 * * [simplify]: Extracting #6: cost 84 inf + 87246 142.903 * * [simplify]: Extracting #7: cost 5 inf + 163776 142.933 * * [simplify]: Extracting #8: cost 0 inf + 167995 142.956 * * [simplify]: Extracting #9: cost 0 inf + 167743 142.985 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 142.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 142.985 * * * * [progress]: [ 231 / 471 ] simplifiying candidate # 142.985 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 142.986 * * [simplify]: iters left: 6 (14 enodes) 142.993 * * [simplify]: iters left: 5 (58 enodes) 143.013 * * [simplify]: iters left: 4 (94 enodes) 143.044 * * [simplify]: iters left: 3 (163 enodes) 143.077 * * [simplify]: iters left: 2 (338 enodes) 143.218 * * [simplify]: Extracting #0: cost 1 inf + 0 143.218 * * [simplify]: Extracting #1: cost 66 inf + 0 143.219 * * [simplify]: Extracting #2: cost 176 inf + 1 143.220 * * [simplify]: Extracting #3: cost 256 inf + 3 143.221 * * [simplify]: Extracting #4: cost 284 inf + 93 143.222 * * [simplify]: Extracting #5: cost 266 inf + 3582 143.230 * * [simplify]: Extracting #6: cost 136 inf + 58724 143.267 * * [simplify]: Extracting #7: cost 8 inf + 154455 143.293 * * [simplify]: Extracting #8: cost 0 inf + 156943 143.320 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 143.320 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 143.320 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 143.321 * * [simplify]: iters left: 6 (15 enodes) 143.329 * * [simplify]: iters left: 5 (61 enodes) 143.350 * * [simplify]: iters left: 4 (101 enodes) 143.368 * * [simplify]: iters left: 3 (173 enodes) 143.420 * * [simplify]: iters left: 2 (344 enodes) 143.524 * * [simplify]: Extracting #0: cost 1 inf + 0 143.524 * * [simplify]: Extracting #1: cost 60 inf + 0 143.525 * * [simplify]: Extracting #2: cost 171 inf + 0 143.527 * * [simplify]: Extracting #3: cost 243 inf + 44 143.529 * * [simplify]: Extracting #4: cost 238 inf + 5870 143.538 * * [simplify]: Extracting #5: cost 118 inf + 66659 143.555 * * [simplify]: Extracting #6: cost 16 inf + 145015 143.581 * * [simplify]: Extracting #7: cost 0 inf + 159570 143.601 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))) 143.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (sqrt n) (/ (- 1 k) 2)))))) 143.601 * * * * [progress]: [ 232 / 471 ] simplifiying candidate # 143.601 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 1)) 143.601 * * [simplify]: iters left: 6 (10 enodes) 143.605 * * [simplify]: iters left: 5 (39 enodes) 143.617 * * [simplify]: iters left: 4 (60 enodes) 143.638 * * [simplify]: iters left: 3 (98 enodes) 143.672 * * [simplify]: iters left: 2 (192 enodes) 143.715 * * [simplify]: iters left: 1 (392 enodes) 143.882 * * [simplify]: Extracting #0: cost 1 inf + 0 143.883 * * [simplify]: Extracting #1: cost 50 inf + 0 143.884 * * [simplify]: Extracting #2: cost 148 inf + 2 143.885 * * [simplify]: Extracting #3: cost 195 inf + 90 143.887 * * [simplify]: Extracting #4: cost 174 inf + 2424 143.894 * * [simplify]: Extracting #5: cost 105 inf + 19843 143.905 * * [simplify]: Extracting #6: cost 21 inf + 77732 143.919 * * [simplify]: Extracting #7: cost 0 inf + 95355 143.942 * * [simplify]: Extracting #8: cost 0 inf + 95195 143.969 * [simplify]: Simplified to (pow (sqrt n) (- 1/2 (/ k 2))) 143.969 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 143.970 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 143.970 * * [simplify]: iters left: 6 (14 enodes) 143.978 * * [simplify]: iters left: 5 (58 enodes) 143.998 * * [simplify]: iters left: 4 (101 enodes) 144.034 * * [simplify]: iters left: 3 (190 enodes) 144.103 * * [simplify]: iters left: 2 (495 enodes) 144.376 * * [simplify]: Extracting #0: cost 1 inf + 0 144.376 * * [simplify]: Extracting #1: cost 119 inf + 0 144.379 * * [simplify]: Extracting #2: cost 501 inf + 0 144.382 * * [simplify]: Extracting #3: cost 600 inf + 85 144.385 * * [simplify]: Extracting #4: cost 585 inf + 3452 144.389 * * [simplify]: Extracting #5: cost 526 inf + 19820 144.417 * * [simplify]: Extracting #6: cost 188 inf + 276311 144.480 * * [simplify]: Extracting #7: cost 13 inf + 430206 144.579 * * [simplify]: Extracting #8: cost 0 inf + 436391 144.642 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 144.642 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 1)) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 144.642 * * * * [progress]: [ 233 / 471 ] simplifiying candidate # 144.642 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 144.642 * * [simplify]: iters left: 6 (14 enodes) 144.646 * * [simplify]: iters left: 5 (61 enodes) 144.657 * * [simplify]: iters left: 4 (104 enodes) 144.677 * * [simplify]: iters left: 3 (210 enodes) 144.741 * * [simplify]: Extracting #0: cost 1 inf + 0 144.741 * * [simplify]: Extracting #1: cost 43 inf + 0 144.741 * * [simplify]: Extracting #2: cost 128 inf + 1 144.742 * * [simplify]: Extracting #3: cost 169 inf + 2 144.743 * * [simplify]: Extracting #4: cost 166 inf + 136 144.744 * * [simplify]: Extracting #5: cost 155 inf + 1014 144.749 * * [simplify]: Extracting #6: cost 98 inf + 17622 144.767 * * [simplify]: Extracting #7: cost 7 inf + 76074 144.786 * * [simplify]: Extracting #8: cost 0 inf + 80686 144.801 * * [simplify]: Extracting #9: cost 0 inf + 80685 144.810 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 144.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 144.811 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 144.811 * * [simplify]: iters left: 6 (15 enodes) 144.816 * * [simplify]: iters left: 5 (64 enodes) 144.827 * * [simplify]: iters left: 4 (111 enodes) 144.856 * * [simplify]: iters left: 3 (218 enodes) 144.914 * * [simplify]: Extracting #0: cost 1 inf + 0 144.914 * * [simplify]: Extracting #1: cost 38 inf + 0 144.915 * * [simplify]: Extracting #2: cost 127 inf + 0 144.916 * * [simplify]: Extracting #3: cost 169 inf + 84 144.918 * * [simplify]: Extracting #4: cost 157 inf + 1464 144.922 * * [simplify]: Extracting #5: cost 98 inf + 20193 144.930 * * [simplify]: Extracting #6: cost 21 inf + 66314 144.939 * * [simplify]: Extracting #7: cost 0 inf + 82147 144.951 * * [simplify]: Extracting #8: cost 0 inf + 81591 144.960 * * [simplify]: Extracting #9: cost 0 inf + 81327 144.971 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 144.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 144.971 * * * * [progress]: [ 234 / 471 ] simplifiying candidate # 144.972 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) 144.972 * * [simplify]: iters left: 6 (9 enodes) 144.977 * * [simplify]: iters left: 5 (36 enodes) 144.990 * * [simplify]: iters left: 4 (59 enodes) 145.000 * * [simplify]: iters left: 3 (101 enodes) 145.022 * * [simplify]: iters left: 2 (209 enodes) 145.068 * * [simplify]: iters left: 1 (450 enodes) 145.358 * * [simplify]: Extracting #0: cost 1 inf + 0 145.358 * * [simplify]: Extracting #1: cost 49 inf + 0 145.359 * * [simplify]: Extracting #2: cost 162 inf + 2 145.360 * * [simplify]: Extracting #3: cost 218 inf + 91 145.361 * * [simplify]: Extracting #4: cost 195 inf + 1957 145.366 * * [simplify]: Extracting #5: cost 96 inf + 34036 145.386 * * [simplify]: Extracting #6: cost 17 inf + 88498 145.420 * * [simplify]: Extracting #7: cost 0 inf + 97275 145.456 * * [simplify]: Extracting #8: cost 0 inf + 96412 145.491 * [simplify]: Simplified to (pow (sqrt n) (* 1/2 (- 1 k))) 145.491 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (* 1/2 (- 1 k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 145.491 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 145.491 * * [simplify]: iters left: 6 (14 enodes) 145.495 * * [simplify]: iters left: 5 (58 enodes) 145.506 * * [simplify]: iters left: 4 (101 enodes) 145.526 * * [simplify]: iters left: 3 (190 enodes) 145.599 * * [simplify]: iters left: 2 (495 enodes) 145.838 * * [simplify]: Extracting #0: cost 1 inf + 0 145.838 * * [simplify]: Extracting #1: cost 119 inf + 0 145.840 * * [simplify]: Extracting #2: cost 501 inf + 0 145.842 * * [simplify]: Extracting #3: cost 600 inf + 85 145.845 * * [simplify]: Extracting #4: cost 585 inf + 3452 145.849 * * [simplify]: Extracting #5: cost 526 inf + 19820 145.876 * * [simplify]: Extracting #6: cost 188 inf + 276311 145.936 * * [simplify]: Extracting #7: cost 13 inf + 430206 146.009 * * [simplify]: Extracting #8: cost 0 inf + 436391 146.073 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 146.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))))) 146.073 * * * * [progress]: [ 235 / 471 ] simplifiying candidate # 146.073 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) 146.073 * * [simplify]: iters left: 6 (10 enodes) 146.076 * * [simplify]: iters left: 5 (41 enodes) 146.085 * * [simplify]: iters left: 4 (64 enodes) 146.097 * * [simplify]: iters left: 3 (106 enodes) 146.138 * * [simplify]: iters left: 2 (210 enodes) 146.198 * * [simplify]: iters left: 1 (436 enodes) 146.382 * * [simplify]: Extracting #0: cost 1 inf + 0 146.382 * * [simplify]: Extracting #1: cost 43 inf + 0 146.383 * * [simplify]: Extracting #2: cost 131 inf + 0 146.384 * * [simplify]: Extracting #3: cost 204 inf + 45 146.387 * * [simplify]: Extracting #4: cost 200 inf + 1214 146.392 * * [simplify]: Extracting #5: cost 143 inf + 11578 146.407 * * [simplify]: Extracting #6: cost 49 inf + 70127 146.423 * * [simplify]: Extracting #7: cost 0 inf + 113113 146.445 * * [simplify]: Extracting #8: cost 0 inf + 110616 146.477 * * [simplify]: Extracting #9: cost 0 inf + 107446 146.504 * * [simplify]: Extracting #10: cost 0 inf + 106890 146.521 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) 146.521 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 146.521 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 146.521 * * [simplify]: iters left: 6 (13 enodes) 146.525 * * [simplify]: iters left: 5 (55 enodes) 146.544 * * [simplify]: iters left: 4 (94 enodes) 146.576 * * [simplify]: iters left: 3 (182 enodes) 146.628 * * [simplify]: iters left: 2 (496 enodes) 146.997 * * [simplify]: Extracting #0: cost 1 inf + 0 146.998 * * [simplify]: Extracting #1: cost 148 inf + 0 147.001 * * [simplify]: Extracting #2: cost 543 inf + 1 147.013 * * [simplify]: Extracting #3: cost 605 inf + 3 147.018 * * [simplify]: Extracting #4: cost 605 inf + 178 147.025 * * [simplify]: Extracting #5: cost 569 inf + 7580 147.047 * * [simplify]: Extracting #6: cost 390 inf + 111762 147.107 * * [simplify]: Extracting #7: cost 43 inf + 385412 147.203 * * [simplify]: Extracting #8: cost 0 inf + 416132 147.277 * * [simplify]: Extracting #9: cost 0 inf + 415179 147.344 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) 147.344 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))) 147.344 * * * * [progress]: [ 236 / 471 ] simplifiying candidate # 147.344 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 147.344 * * [simplify]: iters left: 6 (15 enodes) 147.354 * * [simplify]: iters left: 5 (61 enodes) 147.378 * * [simplify]: iters left: 4 (110 enodes) 147.422 * * [simplify]: iters left: 3 (222 enodes) 147.520 * * [simplify]: Extracting #0: cost 1 inf + 0 147.521 * * [simplify]: Extracting #1: cost 38 inf + 0 147.521 * * [simplify]: Extracting #2: cost 133 inf + 0 147.521 * * [simplify]: Extracting #3: cost 165 inf + 47 147.522 * * [simplify]: Extracting #4: cost 152 inf + 1218 147.524 * * [simplify]: Extracting #5: cost 93 inf + 18287 147.533 * * [simplify]: Extracting #6: cost 12 inf + 66279 147.541 * * [simplify]: Extracting #7: cost 0 inf + 74281 147.551 * [simplify]: Simplified to (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) 147.552 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 147.552 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 147.552 * * [simplify]: iters left: 6 (13 enodes) 147.559 * * [simplify]: iters left: 5 (53 enodes) 147.577 * * [simplify]: iters left: 4 (88 enodes) 147.608 * * [simplify]: iters left: 3 (178 enodes) 147.693 * * [simplify]: Extracting #0: cost 1 inf + 0 147.694 * * [simplify]: Extracting #1: cost 39 inf + 0 147.694 * * [simplify]: Extracting #2: cost 117 inf + 0 147.694 * * [simplify]: Extracting #3: cost 164 inf + 1 147.695 * * [simplify]: Extracting #4: cost 147 inf + 1511 147.697 * * [simplify]: Extracting #5: cost 92 inf + 14606 147.703 * * [simplify]: Extracting #6: cost 21 inf + 61632 147.711 * * [simplify]: Extracting #7: cost 0 inf + 79262 147.719 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 147.719 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (* PI 2)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 147.720 * * * * [progress]: [ 237 / 471 ] simplifiying candidate # 147.720 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 147.720 * * [simplify]: iters left: 6 (14 enodes) 147.728 * * [simplify]: iters left: 5 (54 enodes) 147.746 * * [simplify]: iters left: 4 (85 enodes) 147.772 * * [simplify]: iters left: 3 (122 enodes) 147.816 * * [simplify]: iters left: 2 (196 enodes) 147.890 * * [simplify]: iters left: 1 (358 enodes) 148.071 * * [simplify]: Extracting #0: cost 1 inf + 0 148.071 * * [simplify]: Extracting #1: cost 7 inf + 0 148.071 * * [simplify]: Extracting #2: cost 11 inf + 1 148.071 * * [simplify]: Extracting #3: cost 16 inf + 1 148.071 * * [simplify]: Extracting #4: cost 50 inf + 1 148.072 * * [simplify]: Extracting #5: cost 135 inf + 3 148.074 * * [simplify]: Extracting #6: cost 159 inf + 1498 148.081 * * [simplify]: Extracting #7: cost 72 inf + 34542 148.093 * * [simplify]: Extracting #8: cost 3 inf + 72906 148.103 * * [simplify]: Extracting #9: cost 0 inf + 73365 148.113 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 148.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 148.113 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 148.114 * * [simplify]: iters left: 6 (14 enodes) 148.121 * * [simplify]: iters left: 5 (56 enodes) 148.139 * * [simplify]: iters left: 4 (90 enodes) 148.172 * * [simplify]: iters left: 3 (142 enodes) 148.220 * * [simplify]: iters left: 2 (258 enodes) 148.330 * * [simplify]: Extracting #0: cost 1 inf + 0 148.330 * * [simplify]: Extracting #1: cost 30 inf + 0 148.330 * * [simplify]: Extracting #2: cost 74 inf + 0 148.331 * * [simplify]: Extracting #3: cost 123 inf + 3 148.332 * * [simplify]: Extracting #4: cost 147 inf + 11 148.333 * * [simplify]: Extracting #5: cost 169 inf + 555 148.335 * * [simplify]: Extracting #6: cost 126 inf + 8188 148.345 * * [simplify]: Extracting #7: cost 48 inf + 46807 148.357 * * [simplify]: Extracting #8: cost 1 inf + 86529 148.367 * * [simplify]: Extracting #9: cost 0 inf + 86730 148.377 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 148.377 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 148.377 * * * * [progress]: [ 238 / 471 ] simplifiying candidate # 148.378 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 148.378 * * [simplify]: iters left: 6 (13 enodes) 148.385 * * [simplify]: iters left: 5 (49 enodes) 148.402 * * [simplify]: iters left: 4 (76 enodes) 148.426 * * [simplify]: iters left: 3 (111 enodes) 148.468 * * [simplify]: iters left: 2 (185 enodes) 148.541 * * [simplify]: iters left: 1 (358 enodes) 148.706 * * [simplify]: Extracting #0: cost 1 inf + 0 148.706 * * [simplify]: Extracting #1: cost 4 inf + 0 148.706 * * [simplify]: Extracting #2: cost 5 inf + 1 148.706 * * [simplify]: Extracting #3: cost 10 inf + 1 148.706 * * [simplify]: Extracting #4: cost 43 inf + 1 148.707 * * [simplify]: Extracting #5: cost 128 inf + 3 148.708 * * [simplify]: Extracting #6: cost 152 inf + 837 148.711 * * [simplify]: Extracting #7: cost 114 inf + 5383 148.717 * * [simplify]: Extracting #8: cost 75 inf + 16075 148.730 * * [simplify]: Extracting #9: cost 18 inf + 55184 148.750 * * [simplify]: Extracting #10: cost 1 inf + 69188 148.769 * * [simplify]: Extracting #11: cost 0 inf + 69813 148.786 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 148.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 148.787 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 148.787 * * [simplify]: iters left: 6 (14 enodes) 148.791 * * [simplify]: iters left: 5 (56 enodes) 148.800 * * [simplify]: iters left: 4 (90 enodes) 148.821 * * [simplify]: iters left: 3 (142 enodes) 148.870 * * [simplify]: iters left: 2 (258 enodes) 148.939 * * [simplify]: Extracting #0: cost 1 inf + 0 148.939 * * [simplify]: Extracting #1: cost 30 inf + 0 148.939 * * [simplify]: Extracting #2: cost 74 inf + 0 148.940 * * [simplify]: Extracting #3: cost 123 inf + 3 148.940 * * [simplify]: Extracting #4: cost 147 inf + 11 148.941 * * [simplify]: Extracting #5: cost 169 inf + 555 148.942 * * [simplify]: Extracting #6: cost 126 inf + 8068 148.949 * * [simplify]: Extracting #7: cost 48 inf + 46127 148.968 * * [simplify]: Extracting #8: cost 1 inf + 85049 148.988 * * [simplify]: Extracting #9: cost 0 inf + 85250 149.007 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 149.007 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 149.008 * * * * [progress]: [ 239 / 471 ] simplifiying candidate # 149.008 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 149.008 * * [simplify]: iters left: 6 (12 enodes) 149.012 * * [simplify]: iters left: 5 (49 enodes) 149.021 * * [simplify]: iters left: 4 (96 enodes) 149.052 * * [simplify]: iters left: 3 (193 enodes) 149.120 * * [simplify]: iters left: 2 (471 enodes) 149.464 * * [simplify]: Extracting #0: cost 1 inf + 0 149.464 * * [simplify]: Extracting #1: cost 97 inf + 0 149.465 * * [simplify]: Extracting #2: cost 273 inf + 1 149.466 * * [simplify]: Extracting #3: cost 332 inf + 4 149.468 * * [simplify]: Extracting #4: cost 307 inf + 5329 149.475 * * [simplify]: Extracting #5: cost 189 inf + 54808 149.498 * * [simplify]: Extracting #6: cost 42 inf + 158139 149.524 * * [simplify]: Extracting #7: cost 0 inf + 188067 149.550 * * [simplify]: Extracting #8: cost 0 inf + 187906 149.601 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 149.601 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 149.602 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 149.602 * * [simplify]: iters left: 6 (13 enodes) 149.610 * * [simplify]: iters left: 5 (54 enodes) 149.628 * * [simplify]: iters left: 4 (97 enodes) 149.662 * * [simplify]: iters left: 3 (190 enodes) 149.751 * * [simplify]: Extracting #0: cost 1 inf + 0 149.751 * * [simplify]: Extracting #1: cost 38 inf + 0 149.752 * * [simplify]: Extracting #2: cost 128 inf + 0 149.753 * * [simplify]: Extracting #3: cost 160 inf + 3 149.754 * * [simplify]: Extracting #4: cost 150 inf + 1134 149.757 * * [simplify]: Extracting #5: cost 103 inf + 16779 149.770 * * [simplify]: Extracting #6: cost 17 inf + 68912 149.787 * * [simplify]: Extracting #7: cost 0 inf + 79691 149.805 * * [simplify]: Extracting #8: cost 0 inf + 79273 149.823 * * [simplify]: Extracting #9: cost 0 inf + 79272 149.840 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 149.840 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 149.840 * * * * [progress]: [ 240 / 471 ] simplifiying candidate # 149.841 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 149.841 * * [simplify]: iters left: 6 (16 enodes) 149.850 * * [simplify]: iters left: 5 (66 enodes) 149.872 * * [simplify]: iters left: 4 (119 enodes) 149.918 * * [simplify]: iters left: 3 (198 enodes) 149.984 * * [simplify]: iters left: 2 (359 enodes) 150.083 * * [simplify]: Extracting #0: cost 1 inf + 0 150.083 * * [simplify]: Extracting #1: cost 17 inf + 0 150.083 * * [simplify]: Extracting #2: cost 31 inf + 1 150.083 * * [simplify]: Extracting #3: cost 46 inf + 1 150.083 * * [simplify]: Extracting #4: cost 87 inf + 3 150.084 * * [simplify]: Extracting #5: cost 98 inf + 1735 150.087 * * [simplify]: Extracting #6: cost 47 inf + 15000 150.101 * * [simplify]: Extracting #7: cost 4 inf + 34289 150.112 * * [simplify]: Extracting #8: cost 0 inf + 37122 150.118 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 150.118 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 150.119 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 150.119 * * [simplify]: iters left: 6 (15 enodes) 150.123 * * [simplify]: iters left: 5 (61 enodes) 150.133 * * [simplify]: iters left: 4 (100 enodes) 150.152 * * [simplify]: iters left: 3 (172 enodes) 150.218 * * [simplify]: iters left: 2 (347 enodes) 150.336 * * [simplify]: Extracting #0: cost 1 inf + 0 150.336 * * [simplify]: Extracting #1: cost 60 inf + 0 150.336 * * [simplify]: Extracting #2: cost 175 inf + 0 150.337 * * [simplify]: Extracting #3: cost 240 inf + 3 150.338 * * [simplify]: Extracting #4: cost 248 inf + 4260 150.342 * * [simplify]: Extracting #5: cost 175 inf + 29528 150.350 * * [simplify]: Extracting #6: cost 95 inf + 83696 150.376 * * [simplify]: Extracting #7: cost 18 inf + 150773 150.414 * * [simplify]: Extracting #8: cost 0 inf + 166765 150.454 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 150.454 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 150.455 * * * * [progress]: [ 241 / 471 ] simplifiying candidate # 150.455 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 150.455 * * [simplify]: iters left: 6 (15 enodes) 150.464 * * [simplify]: iters left: 5 (59 enodes) 150.483 * * [simplify]: iters left: 4 (96 enodes) 150.514 * * [simplify]: iters left: 3 (149 enodes) 150.560 * * [simplify]: iters left: 2 (267 enodes) 150.647 * * [simplify]: iters left: 1 (441 enodes) 150.827 * * [simplify]: Extracting #0: cost 1 inf + 0 150.827 * * [simplify]: Extracting #1: cost 12 inf + 0 150.827 * * [simplify]: Extracting #2: cost 24 inf + 1 150.827 * * [simplify]: Extracting #3: cost 52 inf + 1 150.828 * * [simplify]: Extracting #4: cost 127 inf + 3 150.829 * * [simplify]: Extracting #5: cost 163 inf + 907 150.833 * * [simplify]: Extracting #6: cost 105 inf + 7395 150.844 * * [simplify]: Extracting #7: cost 45 inf + 31679 150.859 * * [simplify]: Extracting #8: cost 3 inf + 60981 150.868 * * [simplify]: Extracting #9: cost 0 inf + 62948 150.878 * * [simplify]: Extracting #10: cost 0 inf + 62908 150.890 * [simplify]: Simplified to (/ (fabs (pow (* 2 PI) (/ (- 1 k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 150.890 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow (* 2 PI) (/ (- 1 k) 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 150.890 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 150.890 * * [simplify]: iters left: 6 (15 enodes) 150.899 * * [simplify]: iters left: 5 (61 enodes) 150.913 * * [simplify]: iters left: 4 (101 enodes) 150.932 * * [simplify]: iters left: 3 (173 enodes) 150.967 * * [simplify]: iters left: 2 (344 enodes) 151.062 * * [simplify]: Extracting #0: cost 1 inf + 0 151.062 * * [simplify]: Extracting #1: cost 60 inf + 0 151.063 * * [simplify]: Extracting #2: cost 170 inf + 0 151.064 * * [simplify]: Extracting #3: cost 242 inf + 3 151.067 * * [simplify]: Extracting #4: cost 231 inf + 9027 151.082 * * [simplify]: Extracting #5: cost 112 inf + 71536 151.115 * * [simplify]: Extracting #6: cost 12 inf + 151552 151.135 * * [simplify]: Extracting #7: cost 0 inf + 160770 151.173 * * [simplify]: Extracting #8: cost 0 inf + 160639 151.193 * * [simplify]: Extracting #9: cost 0 inf + 160549 151.215 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 151.215 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 151.215 * * * * [progress]: [ 242 / 471 ] simplifiying candidate # 151.216 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 151.216 * * [simplify]: iters left: 6 (11 enodes) 151.222 * * [simplify]: iters left: 5 (41 enodes) 151.237 * * [simplify]: iters left: 4 (63 enodes) 151.249 * * [simplify]: iters left: 3 (70 enodes) 151.258 * * [simplify]: iters left: 2 (71 enodes) 151.267 * * [simplify]: Extracting #0: cost 1 inf + 0 151.267 * * [simplify]: Extracting #1: cost 6 inf + 0 151.267 * * [simplify]: Extracting #2: cost 9 inf + 1 151.267 * * [simplify]: Extracting #3: cost 11 inf + 1 151.267 * * [simplify]: Extracting #4: cost 10 inf + 2 151.267 * * [simplify]: Extracting #5: cost 4 inf + 730 151.267 * * [simplify]: Extracting #6: cost 0 inf + 1376 151.267 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 151.267 * [simplify]: Simplified (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)))))) 151.268 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 151.268 * * [simplify]: iters left: 6 (14 enodes) 151.272 * * [simplify]: iters left: 5 (58 enodes) 151.290 * * [simplify]: iters left: 4 (101 enodes) 151.325 * * [simplify]: iters left: 3 (190 enodes) 151.409 * * [simplify]: iters left: 2 (495 enodes) 151.625 * * [simplify]: Extracting #0: cost 1 inf + 0 151.626 * * [simplify]: Extracting #1: cost 116 inf + 0 151.627 * * [simplify]: Extracting #2: cost 501 inf + 0 151.630 * * [simplify]: Extracting #3: cost 608 inf + 3 151.633 * * [simplify]: Extracting #4: cost 592 inf + 2948 151.645 * * [simplify]: Extracting #5: cost 476 inf + 54356 151.676 * * [simplify]: Extracting #6: cost 128 inf + 333162 151.731 * * [simplify]: Extracting #7: cost 0 inf + 446913 151.786 * * [simplify]: Extracting #8: cost 0 inf + 440387 151.877 * * [simplify]: Extracting #9: cost 0 inf + 440095 151.979 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 151.979 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 151.979 * * * * [progress]: [ 243 / 471 ] simplifiying candidate # 151.980 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 151.980 * * [simplify]: iters left: 6 (15 enodes) 151.990 * * [simplify]: iters left: 5 (62 enodes) 152.002 * * [simplify]: iters left: 4 (112 enodes) 152.022 * * [simplify]: iters left: 3 (218 enodes) 152.104 * * [simplify]: Extracting #0: cost 1 inf + 0 152.104 * * [simplify]: Extracting #1: cost 35 inf + 0 152.105 * * [simplify]: Extracting #2: cost 107 inf + 1 152.106 * * [simplify]: Extracting #3: cost 143 inf + 2 152.107 * * [simplify]: Extracting #4: cost 130 inf + 1565 152.112 * * [simplify]: Extracting #5: cost 68 inf + 17970 152.125 * * [simplify]: Extracting #6: cost 8 inf + 52827 152.140 * * [simplify]: Extracting #7: cost 0 inf + 57802 152.148 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 152.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 152.149 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 152.149 * * [simplify]: iters left: 6 (15 enodes) 152.153 * * [simplify]: iters left: 5 (64 enodes) 152.173 * * [simplify]: iters left: 4 (111 enodes) 152.201 * * [simplify]: iters left: 3 (218 enodes) 152.280 * * [simplify]: Extracting #0: cost 1 inf + 0 152.280 * * [simplify]: Extracting #1: cost 38 inf + 0 152.281 * * [simplify]: Extracting #2: cost 127 inf + 0 152.281 * * [simplify]: Extracting #3: cost 171 inf + 2 152.282 * * [simplify]: Extracting #4: cost 159 inf + 1129 152.284 * * [simplify]: Extracting #5: cost 95 inf + 20733 152.292 * * [simplify]: Extracting #6: cost 14 inf + 72991 152.302 * * [simplify]: Extracting #7: cost 0 inf + 83475 152.314 * * [simplify]: Extracting #8: cost 0 inf + 83129 152.334 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 152.334 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 152.334 * * * * [progress]: [ 244 / 471 ] simplifiying candidate # 152.335 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 152.335 * * [simplify]: iters left: 6 (12 enodes) 152.342 * * [simplify]: iters left: 5 (48 enodes) 152.359 * * [simplify]: iters left: 4 (84 enodes) 152.386 * * [simplify]: iters left: 3 (138 enodes) 152.447 * * [simplify]: iters left: 2 (290 enodes) 152.555 * * [simplify]: Extracting #0: cost 1 inf + 0 152.556 * * [simplify]: Extracting #1: cost 49 inf + 0 152.556 * * [simplify]: Extracting #2: cost 140 inf + 1 152.557 * * [simplify]: Extracting #3: cost 182 inf + 4 152.559 * * [simplify]: Extracting #4: cost 165 inf + 3384 152.565 * * [simplify]: Extracting #5: cost 109 inf + 17227 152.579 * * [simplify]: Extracting #6: cost 19 inf + 75042 152.592 * * [simplify]: Extracting #7: cost 0 inf + 86632 152.603 * * [simplify]: Extracting #8: cost 0 inf + 85789 152.617 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 152.617 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 152.618 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 152.618 * * [simplify]: iters left: 6 (13 enodes) 152.622 * * [simplify]: iters left: 5 (54 enodes) 152.631 * * [simplify]: iters left: 4 (97 enodes) 152.653 * * [simplify]: iters left: 3 (190 enodes) 152.714 * * [simplify]: Extracting #0: cost 1 inf + 0 152.714 * * [simplify]: Extracting #1: cost 38 inf + 0 152.714 * * [simplify]: Extracting #2: cost 128 inf + 0 152.714 * * [simplify]: Extracting #3: cost 160 inf + 3 152.715 * * [simplify]: Extracting #4: cost 150 inf + 1174 152.717 * * [simplify]: Extracting #5: cost 103 inf + 16859 152.723 * * [simplify]: Extracting #6: cost 17 inf + 68992 152.732 * * [simplify]: Extracting #7: cost 0 inf + 79771 152.745 * * [simplify]: Extracting #8: cost 0 inf + 79353 152.762 * * [simplify]: Extracting #9: cost 0 inf + 79352 152.780 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 152.780 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 152.781 * * * * [progress]: [ 245 / 471 ] simplifiying candidate # 152.781 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 152.781 * * [simplify]: iters left: 6 (16 enodes) 152.790 * * [simplify]: iters left: 5 (63 enodes) 152.810 * * [simplify]: iters left: 4 (97 enodes) 152.826 * * [simplify]: iters left: 3 (147 enodes) 152.873 * * [simplify]: iters left: 2 (257 enodes) 152.945 * * [simplify]: iters left: 1 (420 enodes) 153.067 * * [simplify]: Extracting #0: cost 1 inf + 0 153.067 * * [simplify]: Extracting #1: cost 10 inf + 0 153.067 * * [simplify]: Extracting #2: cost 19 inf + 1 153.067 * * [simplify]: Extracting #3: cost 45 inf + 1 153.067 * * [simplify]: Extracting #4: cost 111 inf + 3 153.068 * * [simplify]: Extracting #5: cost 151 inf + 665 153.072 * * [simplify]: Extracting #6: cost 71 inf + 17364 153.086 * * [simplify]: Extracting #7: cost 13 inf + 47853 153.106 * * [simplify]: Extracting #8: cost 0 inf + 57715 153.115 * * [simplify]: Extracting #9: cost 0 inf + 57637 153.124 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (fabs (cbrt k))) 153.124 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 153.124 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 153.124 * * [simplify]: iters left: 6 (15 enodes) 153.129 * * [simplify]: iters left: 5 (61 enodes) 153.145 * * [simplify]: iters left: 4 (100 enodes) 153.168 * * [simplify]: iters left: 3 (172 enodes) 153.215 * * [simplify]: iters left: 2 (347 enodes) 153.314 * * [simplify]: Extracting #0: cost 1 inf + 0 153.315 * * [simplify]: Extracting #1: cost 60 inf + 0 153.315 * * [simplify]: Extracting #2: cost 175 inf + 0 153.317 * * [simplify]: Extracting #3: cost 240 inf + 3 153.320 * * [simplify]: Extracting #4: cost 248 inf + 4340 153.327 * * [simplify]: Extracting #5: cost 175 inf + 29608 153.343 * * [simplify]: Extracting #6: cost 95 inf + 83776 153.360 * * [simplify]: Extracting #7: cost 18 inf + 150853 153.384 * * [simplify]: Extracting #8: cost 0 inf + 166845 153.427 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 153.427 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 153.427 * * * * [progress]: [ 246 / 471 ] simplifiying candidate # 153.428 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 153.428 * * [simplify]: iters left: 6 (15 enodes) 153.436 * * [simplify]: iters left: 5 (58 enodes) 153.454 * * [simplify]: iters left: 4 (87 enodes) 153.482 * * [simplify]: iters left: 3 (124 enodes) 153.527 * * [simplify]: iters left: 2 (226 enodes) 153.598 * * [simplify]: iters left: 1 (388 enodes) 153.711 * * [simplify]: Extracting #0: cost 1 inf + 0 153.712 * * [simplify]: Extracting #1: cost 7 inf + 0 153.712 * * [simplify]: Extracting #2: cost 14 inf + 1 153.712 * * [simplify]: Extracting #3: cost 41 inf + 1 153.712 * * [simplify]: Extracting #4: cost 114 inf + 3 153.713 * * [simplify]: Extracting #5: cost 134 inf + 1078 153.716 * * [simplify]: Extracting #6: cost 88 inf + 6694 153.726 * * [simplify]: Extracting #7: cost 26 inf + 36428 153.743 * * [simplify]: Extracting #8: cost 1 inf + 55090 153.753 * * [simplify]: Extracting #9: cost 0 inf + 54349 153.761 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 153.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 153.762 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 153.762 * * [simplify]: iters left: 6 (15 enodes) 153.766 * * [simplify]: iters left: 5 (61 enodes) 153.776 * * [simplify]: iters left: 4 (101 enodes) 153.810 * * [simplify]: iters left: 3 (173 enodes) 153.876 * * [simplify]: iters left: 2 (344 enodes) 153.994 * * [simplify]: Extracting #0: cost 1 inf + 0 153.994 * * [simplify]: Extracting #1: cost 60 inf + 0 153.995 * * [simplify]: Extracting #2: cost 170 inf + 0 153.997 * * [simplify]: Extracting #3: cost 242 inf + 3 154.000 * * [simplify]: Extracting #4: cost 231 inf + 9107 154.015 * * [simplify]: Extracting #5: cost 112 inf + 71616 154.051 * * [simplify]: Extracting #6: cost 12 inf + 151632 154.089 * * [simplify]: Extracting #7: cost 0 inf + 160850 154.112 * * [simplify]: Extracting #8: cost 0 inf + 160719 154.132 * * [simplify]: Extracting #9: cost 0 inf + 160629 154.154 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))) 154.154 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))))) 154.154 * * * * [progress]: [ 247 / 471 ] simplifiying candidate # 154.154 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 154.154 * * [simplify]: iters left: 6 (11 enodes) 154.158 * * [simplify]: iters left: 5 (40 enodes) 154.165 * * [simplify]: iters left: 4 (54 enodes) 154.173 * * [simplify]: Extracting #0: cost 1 inf + 0 154.173 * * [simplify]: Extracting #1: cost 4 inf + 0 154.173 * * [simplify]: Extracting #2: cost 6 inf + 1 154.173 * * [simplify]: Extracting #3: cost 9 inf + 1 154.173 * * [simplify]: Extracting #4: cost 2 inf + 689 154.173 * * [simplify]: Extracting #5: cost 0 inf + 972 154.174 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 154.174 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 154.174 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 154.174 * * [simplify]: iters left: 6 (14 enodes) 154.178 * * [simplify]: iters left: 5 (58 enodes) 154.189 * * [simplify]: iters left: 4 (101 enodes) 154.207 * * [simplify]: iters left: 3 (190 enodes) 154.250 * * [simplify]: iters left: 2 (495 enodes) 154.442 * * [simplify]: Extracting #0: cost 1 inf + 0 154.443 * * [simplify]: Extracting #1: cost 116 inf + 0 154.444 * * [simplify]: Extracting #2: cost 501 inf + 0 154.446 * * [simplify]: Extracting #3: cost 608 inf + 3 154.449 * * [simplify]: Extracting #4: cost 592 inf + 3028 154.456 * * [simplify]: Extracting #5: cost 476 inf + 54436 154.510 * * [simplify]: Extracting #6: cost 128 inf + 333242 154.567 * * [simplify]: Extracting #7: cost 0 inf + 446993 154.622 * * [simplify]: Extracting #8: cost 0 inf + 440467 154.706 * * [simplify]: Extracting #9: cost 0 inf + 440175 154.782 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 154.782 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 154.782 * * * * [progress]: [ 248 / 471 ] simplifiying candidate # 154.782 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 154.782 * * [simplify]: iters left: 6 (15 enodes) 154.787 * * [simplify]: iters left: 5 (61 enodes) 154.806 * * [simplify]: iters left: 4 (100 enodes) 154.840 * * [simplify]: iters left: 3 (167 enodes) 154.883 * * [simplify]: iters left: 2 (341 enodes) 155.048 * * [simplify]: Extracting #0: cost 1 inf + 0 155.048 * * [simplify]: Extracting #1: cost 49 inf + 0 155.049 * * [simplify]: Extracting #2: cost 140 inf + 1 155.049 * * [simplify]: Extracting #3: cost 193 inf + 3 155.051 * * [simplify]: Extracting #4: cost 168 inf + 7398 155.062 * * [simplify]: Extracting #5: cost 42 inf + 69691 155.083 * * [simplify]: Extracting #6: cost 0 inf + 95011 155.109 * * [simplify]: Extracting #7: cost 0 inf + 92614 155.126 * * [simplify]: Extracting #8: cost 0 inf + 92317 155.140 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) 155.140 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 155.141 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 155.141 * * [simplify]: iters left: 6 (15 enodes) 155.145 * * [simplify]: iters left: 5 (64 enodes) 155.158 * * [simplify]: iters left: 4 (111 enodes) 155.200 * * [simplify]: iters left: 3 (218 enodes) 155.260 * * [simplify]: Extracting #0: cost 1 inf + 0 155.260 * * [simplify]: Extracting #1: cost 38 inf + 0 155.260 * * [simplify]: Extracting #2: cost 127 inf + 0 155.261 * * [simplify]: Extracting #3: cost 171 inf + 2 155.263 * * [simplify]: Extracting #4: cost 159 inf + 1169 155.267 * * [simplify]: Extracting #5: cost 95 inf + 20813 155.283 * * [simplify]: Extracting #6: cost 14 inf + 73071 155.293 * * [simplify]: Extracting #7: cost 0 inf + 83555 155.302 * * [simplify]: Extracting #8: cost 0 inf + 83209 155.316 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 155.316 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (fabs (cbrt k))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 155.316 * * * * [progress]: [ 249 / 471 ] simplifiying candidate # 155.316 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 155.317 * * [simplify]: iters left: 6 (11 enodes) 155.322 * * [simplify]: iters left: 5 (44 enodes) 155.330 * * [simplify]: iters left: 4 (76 enodes) 155.343 * * [simplify]: iters left: 3 (135 enodes) 155.390 * * [simplify]: iters left: 2 (307 enodes) 155.539 * * [simplify]: Extracting #0: cost 1 inf + 0 155.539 * * [simplify]: Extracting #1: cost 45 inf + 0 155.540 * * [simplify]: Extracting #2: cost 140 inf + 1 155.541 * * [simplify]: Extracting #3: cost 181 inf + 4 155.543 * * [simplify]: Extracting #4: cost 162 inf + 3620 155.549 * * [simplify]: Extracting #5: cost 101 inf + 20194 155.565 * * [simplify]: Extracting #6: cost 13 inf + 74266 155.585 * * [simplify]: Extracting #7: cost 0 inf + 83599 155.610 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 155.610 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 155.611 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 155.611 * * [simplify]: iters left: 6 (13 enodes) 155.618 * * [simplify]: iters left: 5 (54 enodes) 155.637 * * [simplify]: iters left: 4 (97 enodes) 155.657 * * [simplify]: iters left: 3 (190 enodes) 155.729 * * [simplify]: Extracting #0: cost 1 inf + 0 155.729 * * [simplify]: Extracting #1: cost 38 inf + 0 155.730 * * [simplify]: Extracting #2: cost 128 inf + 0 155.731 * * [simplify]: Extracting #3: cost 160 inf + 3 155.732 * * [simplify]: Extracting #4: cost 150 inf + 1094 155.735 * * [simplify]: Extracting #5: cost 103 inf + 16179 155.747 * * [simplify]: Extracting #6: cost 17 inf + 66872 155.765 * * [simplify]: Extracting #7: cost 0 inf + 77171 155.780 * * [simplify]: Extracting #8: cost 0 inf + 76753 155.788 * * [simplify]: Extracting #9: cost 0 inf + 76752 155.797 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 155.797 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 155.797 * * * * [progress]: [ 250 / 471 ] simplifiying candidate # 155.797 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 155.798 * * [simplify]: iters left: 6 (15 enodes) 155.802 * * [simplify]: iters left: 5 (59 enodes) 155.818 * * [simplify]: iters left: 4 (93 enodes) 155.843 * * [simplify]: iters left: 3 (140 enodes) 155.875 * * [simplify]: iters left: 2 (245 enodes) 155.957 * * [simplify]: iters left: 1 (413 enodes) 156.075 * * [simplify]: Extracting #0: cost 1 inf + 0 156.075 * * [simplify]: Extracting #1: cost 10 inf + 0 156.075 * * [simplify]: Extracting #2: cost 18 inf + 1 156.075 * * [simplify]: Extracting #3: cost 41 inf + 1 156.075 * * [simplify]: Extracting #4: cost 105 inf + 3 156.076 * * [simplify]: Extracting #5: cost 141 inf + 420 156.077 * * [simplify]: Extracting #6: cost 87 inf + 7583 156.083 * * [simplify]: Extracting #7: cost 34 inf + 28477 156.098 * * [simplify]: Extracting #8: cost 1 inf + 53503 156.114 * * [simplify]: Extracting #9: cost 0 inf + 53694 156.130 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 156.130 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 156.130 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 156.130 * * [simplify]: iters left: 6 (15 enodes) 156.138 * * [simplify]: iters left: 5 (61 enodes) 156.162 * * [simplify]: iters left: 4 (100 enodes) 156.185 * * [simplify]: iters left: 3 (172 enodes) 156.225 * * [simplify]: iters left: 2 (347 enodes) 156.332 * * [simplify]: Extracting #0: cost 1 inf + 0 156.332 * * [simplify]: Extracting #1: cost 60 inf + 0 156.333 * * [simplify]: Extracting #2: cost 175 inf + 0 156.334 * * [simplify]: Extracting #3: cost 240 inf + 3 156.335 * * [simplify]: Extracting #4: cost 248 inf + 4140 156.338 * * [simplify]: Extracting #5: cost 175 inf + 28688 156.350 * * [simplify]: Extracting #6: cost 95 inf + 81416 156.379 * * [simplify]: Extracting #7: cost 18 inf + 147133 156.406 * * [simplify]: Extracting #8: cost 0 inf + 162845 156.439 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 156.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 156.439 * * * * [progress]: [ 251 / 471 ] simplifiying candidate # 156.439 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 156.439 * * [simplify]: iters left: 6 (14 enodes) 156.443 * * [simplify]: iters left: 5 (54 enodes) 156.452 * * [simplify]: iters left: 4 (87 enodes) 156.470 * * [simplify]: iters left: 3 (122 enodes) 156.511 * * [simplify]: iters left: 2 (206 enodes) 156.563 * * [simplify]: iters left: 1 (368 enodes) 156.694 * * [simplify]: Extracting #0: cost 1 inf + 0 156.694 * * [simplify]: Extracting #1: cost 7 inf + 0 156.694 * * [simplify]: Extracting #2: cost 13 inf + 1 156.694 * * [simplify]: Extracting #3: cost 40 inf + 1 156.694 * * [simplify]: Extracting #4: cost 119 inf + 3 156.695 * * [simplify]: Extracting #5: cost 141 inf + 1368 156.698 * * [simplify]: Extracting #6: cost 78 inf + 17273 156.705 * * [simplify]: Extracting #7: cost 7 inf + 57807 156.713 * * [simplify]: Extracting #8: cost 0 inf + 63803 156.727 * * [simplify]: Extracting #9: cost 0 inf + 63563 156.745 * * [simplify]: Extracting #10: cost 0 inf + 63524 156.755 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 156.755 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 156.756 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 156.756 * * [simplify]: iters left: 6 (15 enodes) 156.763 * * [simplify]: iters left: 5 (61 enodes) 156.773 * * [simplify]: iters left: 4 (101 enodes) 156.802 * * [simplify]: iters left: 3 (173 enodes) 156.838 * * [simplify]: iters left: 2 (344 enodes) 156.961 * * [simplify]: Extracting #0: cost 1 inf + 0 156.962 * * [simplify]: Extracting #1: cost 60 inf + 0 156.963 * * [simplify]: Extracting #2: cost 170 inf + 0 156.964 * * [simplify]: Extracting #3: cost 242 inf + 3 156.966 * * [simplify]: Extracting #4: cost 231 inf + 8787 156.976 * * [simplify]: Extracting #5: cost 112 inf + 69376 156.996 * * [simplify]: Extracting #6: cost 12 inf + 147832 157.035 * * [simplify]: Extracting #7: cost 0 inf + 156850 157.071 * * [simplify]: Extracting #8: cost 0 inf + 156719 157.091 * * [simplify]: Extracting #9: cost 0 inf + 156629 157.112 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 157.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 157.112 * * * * [progress]: [ 252 / 471 ] simplifiying candidate # 157.112 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 157.112 * * [simplify]: iters left: 6 (10 enodes) 157.118 * * [simplify]: iters left: 5 (36 enodes) 157.130 * * [simplify]: iters left: 4 (47 enodes) 157.136 * * [simplify]: Extracting #0: cost 1 inf + 0 157.136 * * [simplify]: Extracting #1: cost 4 inf + 0 157.136 * * [simplify]: Extracting #2: cost 5 inf + 1 157.136 * * [simplify]: Extracting #3: cost 7 inf + 1 157.136 * * [simplify]: Extracting #4: cost 0 inf + 490 157.136 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 157.136 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 157.137 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 157.137 * * [simplify]: iters left: 6 (14 enodes) 157.140 * * [simplify]: iters left: 5 (58 enodes) 157.150 * * [simplify]: iters left: 4 (101 enodes) 157.176 * * [simplify]: iters left: 3 (190 enodes) 157.236 * * [simplify]: iters left: 2 (495 enodes) 157.508 * * [simplify]: Extracting #0: cost 1 inf + 0 157.508 * * [simplify]: Extracting #1: cost 116 inf + 0 157.511 * * [simplify]: Extracting #2: cost 501 inf + 0 157.515 * * [simplify]: Extracting #3: cost 608 inf + 3 157.521 * * [simplify]: Extracting #4: cost 592 inf + 2788 157.534 * * [simplify]: Extracting #5: cost 476 inf + 53196 157.584 * * [simplify]: Extracting #6: cost 128 inf + 326522 157.666 * * [simplify]: Extracting #7: cost 0 inf + 437353 157.766 * * [simplify]: Extracting #8: cost 0 inf + 430827 157.854 * * [simplify]: Extracting #9: cost 0 inf + 430535 157.923 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 157.923 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 157.923 * * * * [progress]: [ 253 / 471 ] simplifiying candidate # 157.924 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 157.924 * * [simplify]: iters left: 6 (14 enodes) 157.933 * * [simplify]: iters left: 5 (57 enodes) 157.945 * * [simplify]: iters left: 4 (99 enodes) 157.963 * * [simplify]: iters left: 3 (170 enodes) 158.020 * * [simplify]: iters left: 2 (358 enodes) 158.142 * * [simplify]: Extracting #0: cost 1 inf + 0 158.142 * * [simplify]: Extracting #1: cost 47 inf + 0 158.143 * * [simplify]: Extracting #2: cost 127 inf + 1 158.144 * * [simplify]: Extracting #3: cost 176 inf + 3 158.145 * * [simplify]: Extracting #4: cost 170 inf + 884 158.149 * * [simplify]: Extracting #5: cost 126 inf + 9430 158.156 * * [simplify]: Extracting #6: cost 34 inf + 59328 158.168 * * [simplify]: Extracting #7: cost 0 inf + 81491 158.186 * * [simplify]: Extracting #8: cost 0 inf + 81006 158.209 * [simplify]: Simplified to (/ (pow (* PI 2) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 158.209 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 158.210 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 158.210 * * [simplify]: iters left: 6 (15 enodes) 158.219 * * [simplify]: iters left: 5 (64 enodes) 158.237 * * [simplify]: iters left: 4 (111 enodes) 158.256 * * [simplify]: iters left: 3 (218 enodes) 158.333 * * [simplify]: Extracting #0: cost 1 inf + 0 158.333 * * [simplify]: Extracting #1: cost 38 inf + 0 158.333 * * [simplify]: Extracting #2: cost 127 inf + 0 158.334 * * [simplify]: Extracting #3: cost 171 inf + 2 158.335 * * [simplify]: Extracting #4: cost 159 inf + 1089 158.337 * * [simplify]: Extracting #5: cost 95 inf + 20173 158.344 * * [simplify]: Extracting #6: cost 14 inf + 70791 158.363 * * [simplify]: Extracting #7: cost 0 inf + 80955 158.374 * * [simplify]: Extracting #8: cost 0 inf + 80609 158.383 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 158.383 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 158.383 * * * * [progress]: [ 254 / 471 ] simplifiying candidate # 158.384 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 158.384 * * [simplify]: iters left: 6 (10 enodes) 158.389 * * [simplify]: iters left: 5 (41 enodes) 158.399 * * [simplify]: iters left: 4 (68 enodes) 158.413 * * [simplify]: iters left: 3 (108 enodes) 158.435 * * [simplify]: iters left: 2 (201 enodes) 158.496 * * [simplify]: iters left: 1 (405 enodes) 158.790 * * [simplify]: Extracting #0: cost 1 inf + 0 158.790 * * [simplify]: Extracting #1: cost 45 inf + 0 158.792 * * [simplify]: Extracting #2: cost 171 inf + 3 158.793 * * [simplify]: Extracting #3: cost 225 inf + 7 158.794 * * [simplify]: Extracting #4: cost 201 inf + 2211 158.797 * * [simplify]: Extracting #5: cost 144 inf + 11311 158.810 * * [simplify]: Extracting #6: cost 48 inf + 73577 158.825 * * [simplify]: Extracting #7: cost 2 inf + 111768 158.842 * * [simplify]: Extracting #8: cost 0 inf + 111782 158.864 * * [simplify]: Extracting #9: cost 0 inf + 110651 158.882 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 158.882 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 158.882 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 158.882 * * [simplify]: iters left: 6 (12 enodes) 158.887 * * [simplify]: iters left: 5 (51 enodes) 158.907 * * [simplify]: iters left: 4 (90 enodes) 158.926 * * [simplify]: iters left: 3 (181 enodes) 158.990 * * [simplify]: Extracting #0: cost 1 inf + 0 158.991 * * [simplify]: Extracting #1: cost 38 inf + 0 158.991 * * [simplify]: Extracting #2: cost 127 inf + 0 158.992 * * [simplify]: Extracting #3: cost 156 inf + 45 158.993 * * [simplify]: Extracting #4: cost 149 inf + 1928 158.998 * * [simplify]: Extracting #5: cost 91 inf + 21734 159.015 * * [simplify]: Extracting #6: cost 7 inf + 71818 159.028 * * [simplify]: Extracting #7: cost 0 inf + 75903 159.036 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 159.037 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 159.037 * * * * [progress]: [ 255 / 471 ] simplifiying candidate # 159.037 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 159.037 * * [simplify]: iters left: 6 (14 enodes) 159.043 * * [simplify]: iters left: 5 (56 enodes) 159.053 * * [simplify]: iters left: 4 (86 enodes) 159.069 * * [simplify]: iters left: 3 (122 enodes) 159.108 * * [simplify]: iters left: 2 (202 enodes) 159.188 * * [simplify]: iters left: 1 (362 enodes) 159.323 * * [simplify]: Extracting #0: cost 1 inf + 0 159.324 * * [simplify]: Extracting #1: cost 6 inf + 0 159.324 * * [simplify]: Extracting #2: cost 9 inf + 1 159.324 * * [simplify]: Extracting #3: cost 33 inf + 1 159.324 * * [simplify]: Extracting #4: cost 97 inf + 2 159.325 * * [simplify]: Extracting #5: cost 138 inf + 50 159.325 * * [simplify]: Extracting #6: cost 136 inf + 475 159.327 * * [simplify]: Extracting #7: cost 72 inf + 12871 159.334 * * [simplify]: Extracting #8: cost 30 inf + 32064 159.347 * * [simplify]: Extracting #9: cost 3 inf + 47976 159.364 * * [simplify]: Extracting #10: cost 0 inf + 49362 159.380 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 159.380 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 159.380 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 159.380 * * [simplify]: iters left: 6 (14 enodes) 159.384 * * [simplify]: iters left: 5 (58 enodes) 159.395 * * [simplify]: iters left: 4 (97 enodes) 159.413 * * [simplify]: iters left: 3 (165 enodes) 159.445 * * [simplify]: iters left: 2 (334 enodes) 159.540 * * [simplify]: Extracting #0: cost 1 inf + 0 159.540 * * [simplify]: Extracting #1: cost 61 inf + 0 159.541 * * [simplify]: Extracting #2: cost 173 inf + 0 159.541 * * [simplify]: Extracting #3: cost 237 inf + 45 159.543 * * [simplify]: Extracting #4: cost 226 inf + 9063 159.547 * * [simplify]: Extracting #5: cost 155 inf + 40750 159.562 * * [simplify]: Extracting #6: cost 102 inf + 72390 159.592 * * [simplify]: Extracting #7: cost 19 inf + 143233 159.613 * * [simplify]: Extracting #8: cost 0 inf + 161480 159.642 * * [simplify]: Extracting #9: cost 0 inf + 161349 159.660 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 159.660 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 159.660 * * * * [progress]: [ 256 / 471 ] simplifiying candidate # 159.660 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 159.660 * * [simplify]: iters left: 6 (13 enodes) 159.665 * * [simplify]: iters left: 5 (51 enodes) 159.673 * * [simplify]: iters left: 4 (77 enodes) 159.690 * * [simplify]: iters left: 3 (112 enodes) 159.707 * * [simplify]: iters left: 2 (183 enodes) 159.770 * * [simplify]: iters left: 1 (339 enodes) 159.897 * * [simplify]: Extracting #0: cost 1 inf + 0 159.897 * * [simplify]: Extracting #1: cost 6 inf + 0 159.897 * * [simplify]: Extracting #2: cost 30 inf + 1 159.898 * * [simplify]: Extracting #3: cost 112 inf + 2 159.898 * * [simplify]: Extracting #4: cost 140 inf + 51 159.899 * * [simplify]: Extracting #5: cost 128 inf + 1675 159.902 * * [simplify]: Extracting #6: cost 48 inf + 25898 159.914 * * [simplify]: Extracting #7: cost 4 inf + 51860 159.931 * * [simplify]: Extracting #8: cost 0 inf + 54731 159.945 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 159.945 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 159.945 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 159.945 * * [simplify]: iters left: 6 (14 enodes) 159.950 * * [simplify]: iters left: 5 (58 enodes) 159.962 * * [simplify]: iters left: 4 (98 enodes) 159.994 * * [simplify]: iters left: 3 (166 enodes) 160.051 * * [simplify]: iters left: 2 (335 enodes) 160.148 * * [simplify]: Extracting #0: cost 1 inf + 0 160.148 * * [simplify]: Extracting #1: cost 66 inf + 0 160.149 * * [simplify]: Extracting #2: cost 183 inf + 0 160.151 * * [simplify]: Extracting #3: cost 250 inf + 45 160.154 * * [simplify]: Extracting #4: cost 243 inf + 6074 160.165 * * [simplify]: Extracting #5: cost 146 inf + 49131 160.186 * * [simplify]: Extracting #6: cost 81 inf + 89679 160.220 * * [simplify]: Extracting #7: cost 9 inf + 153685 160.259 * * [simplify]: Extracting #8: cost 0 inf + 161635 160.297 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 160.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 160.298 * * * * [progress]: [ 257 / 471 ] simplifiying candidate # 160.298 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) 1)) 160.298 * * [simplify]: iters left: 6 (9 enodes) 160.311 * * [simplify]: iters left: 5 (33 enodes) 160.320 * * [simplify]: iters left: 4 (42 enodes) 160.331 * * [simplify]: Extracting #0: cost 1 inf + 0 160.332 * * [simplify]: Extracting #1: cost 0 inf + 1 160.332 * [simplify]: Simplified to 1 160.332 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 160.332 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 160.332 * * [simplify]: iters left: 6 (13 enodes) 160.339 * * [simplify]: iters left: 5 (55 enodes) 160.348 * * [simplify]: iters left: 4 (98 enodes) 160.365 * * [simplify]: iters left: 3 (187 enodes) 160.437 * * [simplify]: Extracting #0: cost 1 inf + 0 160.437 * * [simplify]: Extracting #1: cost 38 inf + 0 160.437 * * [simplify]: Extracting #2: cost 129 inf + 0 160.438 * * [simplify]: Extracting #3: cost 161 inf + 44 160.439 * * [simplify]: Extracting #4: cost 144 inf + 1752 160.441 * * [simplify]: Extracting #5: cost 82 inf + 24648 160.449 * * [simplify]: Extracting #6: cost 10 inf + 71854 160.459 * * [simplify]: Extracting #7: cost 0 inf + 80166 160.477 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 160.477 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 160.477 * * * * [progress]: [ 258 / 471 ] simplifiying candidate # 160.478 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 160.478 * * [simplify]: iters left: 6 (13 enodes) 160.486 * * [simplify]: iters left: 5 (54 enodes) 160.495 * * [simplify]: iters left: 4 (84 enodes) 160.510 * * [simplify]: iters left: 3 (139 enodes) 160.544 * * [simplify]: iters left: 2 (277 enodes) 160.632 * * [simplify]: Extracting #0: cost 1 inf + 0 160.632 * * [simplify]: Extracting #1: cost 22 inf + 0 160.632 * * [simplify]: Extracting #2: cost 80 inf + 2 160.633 * * [simplify]: Extracting #3: cost 124 inf + 51 160.633 * * [simplify]: Extracting #4: cost 110 inf + 1842 160.636 * * [simplify]: Extracting #5: cost 24 inf + 27833 160.642 * * [simplify]: Extracting #6: cost 0 inf + 40672 160.650 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 4)) 160.650 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 160.651 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 160.651 * * [simplify]: iters left: 6 (14 enodes) 160.658 * * [simplify]: iters left: 5 (61 enodes) 160.679 * * [simplify]: iters left: 4 (108 enodes) 160.718 * * [simplify]: iters left: 3 (215 enodes) 160.818 * * [simplify]: Extracting #0: cost 1 inf + 0 160.818 * * [simplify]: Extracting #1: cost 38 inf + 0 160.819 * * [simplify]: Extracting #2: cost 131 inf + 0 160.820 * * [simplify]: Extracting #3: cost 171 inf + 44 160.821 * * [simplify]: Extracting #4: cost 158 inf + 1557 160.823 * * [simplify]: Extracting #5: cost 92 inf + 24399 160.831 * * [simplify]: Extracting #6: cost 13 inf + 72558 160.840 * * [simplify]: Extracting #7: cost 0 inf + 80426 160.849 * * [simplify]: Extracting #8: cost 0 inf + 80340 160.866 * * [simplify]: Extracting #9: cost 0 inf + 79944 160.875 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 160.875 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 160.875 * * * * [progress]: [ 259 / 471 ] simplifiying candidate # 160.875 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 160.875 * * [simplify]: iters left: 6 (11 enodes) 160.879 * * [simplify]: iters left: 5 (44 enodes) 160.887 * * [simplify]: iters left: 4 (76 enodes) 160.901 * * [simplify]: iters left: 3 (135 enodes) 160.950 * * [simplify]: iters left: 2 (307 enodes) 161.074 * * [simplify]: Extracting #0: cost 1 inf + 0 161.074 * * [simplify]: Extracting #1: cost 45 inf + 0 161.074 * * [simplify]: Extracting #2: cost 140 inf + 1 161.075 * * [simplify]: Extracting #3: cost 181 inf + 4 161.076 * * [simplify]: Extracting #4: cost 162 inf + 3620 161.079 * * [simplify]: Extracting #5: cost 101 inf + 20194 161.088 * * [simplify]: Extracting #6: cost 13 inf + 74266 161.103 * * [simplify]: Extracting #7: cost 0 inf + 83599 161.113 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 161.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 161.113 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 161.113 * * [simplify]: iters left: 6 (13 enodes) 161.117 * * [simplify]: iters left: 5 (54 enodes) 161.127 * * [simplify]: iters left: 4 (97 enodes) 161.162 * * [simplify]: iters left: 3 (190 enodes) 161.211 * * [simplify]: Extracting #0: cost 1 inf + 0 161.211 * * [simplify]: Extracting #1: cost 38 inf + 0 161.212 * * [simplify]: Extracting #2: cost 128 inf + 0 161.213 * * [simplify]: Extracting #3: cost 160 inf + 3 161.214 * * [simplify]: Extracting #4: cost 150 inf + 1094 161.218 * * [simplify]: Extracting #5: cost 103 inf + 16179 161.231 * * [simplify]: Extracting #6: cost 17 inf + 66872 161.246 * * [simplify]: Extracting #7: cost 0 inf + 77171 161.255 * * [simplify]: Extracting #8: cost 0 inf + 76753 161.264 * * [simplify]: Extracting #9: cost 0 inf + 76752 161.273 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 161.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 161.273 * * * * [progress]: [ 260 / 471 ] simplifiying candidate # 161.273 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 161.273 * * [simplify]: iters left: 6 (15 enodes) 161.278 * * [simplify]: iters left: 5 (59 enodes) 161.287 * * [simplify]: iters left: 4 (93 enodes) 161.302 * * [simplify]: iters left: 3 (140 enodes) 161.348 * * [simplify]: iters left: 2 (245 enodes) 161.431 * * [simplify]: iters left: 1 (413 enodes) 161.561 * * [simplify]: Extracting #0: cost 1 inf + 0 161.562 * * [simplify]: Extracting #1: cost 10 inf + 0 161.562 * * [simplify]: Extracting #2: cost 18 inf + 1 161.562 * * [simplify]: Extracting #3: cost 41 inf + 1 161.562 * * [simplify]: Extracting #4: cost 105 inf + 3 161.564 * * [simplify]: Extracting #5: cost 141 inf + 420 161.567 * * [simplify]: Extracting #6: cost 87 inf + 7583 161.575 * * [simplify]: Extracting #7: cost 34 inf + 28477 161.590 * * [simplify]: Extracting #8: cost 1 inf + 53503 161.598 * * [simplify]: Extracting #9: cost 0 inf + 53694 161.606 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 161.606 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 161.606 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 161.606 * * [simplify]: iters left: 6 (15 enodes) 161.611 * * [simplify]: iters left: 5 (61 enodes) 161.621 * * [simplify]: iters left: 4 (100 enodes) 161.652 * * [simplify]: iters left: 3 (172 enodes) 161.684 * * [simplify]: iters left: 2 (347 enodes) 161.814 * * [simplify]: Extracting #0: cost 1 inf + 0 161.814 * * [simplify]: Extracting #1: cost 60 inf + 0 161.815 * * [simplify]: Extracting #2: cost 175 inf + 0 161.817 * * [simplify]: Extracting #3: cost 240 inf + 3 161.819 * * [simplify]: Extracting #4: cost 248 inf + 4140 161.827 * * [simplify]: Extracting #5: cost 175 inf + 28688 161.836 * * [simplify]: Extracting #6: cost 95 inf + 81416 161.855 * * [simplify]: Extracting #7: cost 18 inf + 147133 161.874 * * [simplify]: Extracting #8: cost 0 inf + 162845 161.893 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 161.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 161.893 * * * * [progress]: [ 261 / 471 ] simplifiying candidate # 161.894 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 161.894 * * [simplify]: iters left: 6 (14 enodes) 161.898 * * [simplify]: iters left: 5 (54 enodes) 161.916 * * [simplify]: iters left: 4 (87 enodes) 161.943 * * [simplify]: iters left: 3 (122 enodes) 161.990 * * [simplify]: iters left: 2 (206 enodes) 162.069 * * [simplify]: iters left: 1 (368 enodes) 162.215 * * [simplify]: Extracting #0: cost 1 inf + 0 162.215 * * [simplify]: Extracting #1: cost 7 inf + 0 162.215 * * [simplify]: Extracting #2: cost 13 inf + 1 162.215 * * [simplify]: Extracting #3: cost 40 inf + 1 162.215 * * [simplify]: Extracting #4: cost 119 inf + 3 162.216 * * [simplify]: Extracting #5: cost 141 inf + 1368 162.219 * * [simplify]: Extracting #6: cost 78 inf + 17273 162.226 * * [simplify]: Extracting #7: cost 7 inf + 57807 162.235 * * [simplify]: Extracting #8: cost 0 inf + 63803 162.252 * * [simplify]: Extracting #9: cost 0 inf + 63563 162.270 * * [simplify]: Extracting #10: cost 0 inf + 63524 162.287 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 162.287 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 162.288 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 162.288 * * [simplify]: iters left: 6 (15 enodes) 162.297 * * [simplify]: iters left: 5 (61 enodes) 162.316 * * [simplify]: iters left: 4 (101 enodes) 162.347 * * [simplify]: iters left: 3 (173 enodes) 162.378 * * [simplify]: iters left: 2 (344 enodes) 162.494 * * [simplify]: Extracting #0: cost 1 inf + 0 162.495 * * [simplify]: Extracting #1: cost 60 inf + 0 162.495 * * [simplify]: Extracting #2: cost 170 inf + 0 162.496 * * [simplify]: Extracting #3: cost 242 inf + 3 162.497 * * [simplify]: Extracting #4: cost 231 inf + 8787 162.509 * * [simplify]: Extracting #5: cost 112 inf + 69376 162.549 * * [simplify]: Extracting #6: cost 12 inf + 147832 162.577 * * [simplify]: Extracting #7: cost 0 inf + 156850 162.596 * * [simplify]: Extracting #8: cost 0 inf + 156719 162.635 * * [simplify]: Extracting #9: cost 0 inf + 156629 162.671 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 162.671 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 162.672 * * * * [progress]: [ 262 / 471 ] simplifiying candidate # 162.673 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) 162.673 * * [simplify]: iters left: 6 (10 enodes) 162.681 * * [simplify]: iters left: 5 (36 enodes) 162.693 * * [simplify]: iters left: 4 (47 enodes) 162.706 * * [simplify]: Extracting #0: cost 1 inf + 0 162.706 * * [simplify]: Extracting #1: cost 4 inf + 0 162.706 * * [simplify]: Extracting #2: cost 5 inf + 1 162.706 * * [simplify]: Extracting #3: cost 7 inf + 1 162.706 * * [simplify]: Extracting #4: cost 0 inf + 490 162.706 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 162.707 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 162.707 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 162.707 * * [simplify]: iters left: 6 (14 enodes) 162.715 * * [simplify]: iters left: 5 (58 enodes) 162.735 * * [simplify]: iters left: 4 (101 enodes) 162.768 * * [simplify]: iters left: 3 (190 enodes) 162.848 * * [simplify]: iters left: 2 (495 enodes) 163.074 * * [simplify]: Extracting #0: cost 1 inf + 0 163.074 * * [simplify]: Extracting #1: cost 116 inf + 0 163.077 * * [simplify]: Extracting #2: cost 501 inf + 0 163.088 * * [simplify]: Extracting #3: cost 608 inf + 3 163.094 * * [simplify]: Extracting #4: cost 592 inf + 2788 163.101 * * [simplify]: Extracting #5: cost 476 inf + 53196 163.131 * * [simplify]: Extracting #6: cost 128 inf + 326522 163.231 * * [simplify]: Extracting #7: cost 0 inf + 437353 163.298 * * [simplify]: Extracting #8: cost 0 inf + 430827 163.370 * * [simplify]: Extracting #9: cost 0 inf + 430535 163.433 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 163.433 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 163.433 * * * * [progress]: [ 263 / 471 ] simplifiying candidate # 163.434 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 163.434 * * [simplify]: iters left: 6 (14 enodes) 163.438 * * [simplify]: iters left: 5 (57 enodes) 163.450 * * [simplify]: iters left: 4 (99 enodes) 163.469 * * [simplify]: iters left: 3 (170 enodes) 163.537 * * [simplify]: iters left: 2 (358 enodes) 163.679 * * [simplify]: Extracting #0: cost 1 inf + 0 163.680 * * [simplify]: Extracting #1: cost 47 inf + 0 163.680 * * [simplify]: Extracting #2: cost 127 inf + 1 163.681 * * [simplify]: Extracting #3: cost 176 inf + 3 163.681 * * [simplify]: Extracting #4: cost 170 inf + 884 163.684 * * [simplify]: Extracting #5: cost 126 inf + 9430 163.691 * * [simplify]: Extracting #6: cost 34 inf + 59328 163.705 * * [simplify]: Extracting #7: cost 0 inf + 81491 163.728 * * [simplify]: Extracting #8: cost 0 inf + 81006 163.751 * [simplify]: Simplified to (/ (pow (* PI 2) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 163.751 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 163.752 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 163.752 * * [simplify]: iters left: 6 (15 enodes) 163.761 * * [simplify]: iters left: 5 (64 enodes) 163.774 * * [simplify]: iters left: 4 (111 enodes) 163.798 * * [simplify]: iters left: 3 (218 enodes) 163.875 * * [simplify]: Extracting #0: cost 1 inf + 0 163.875 * * [simplify]: Extracting #1: cost 38 inf + 0 163.876 * * [simplify]: Extracting #2: cost 127 inf + 0 163.877 * * [simplify]: Extracting #3: cost 171 inf + 2 163.878 * * [simplify]: Extracting #4: cost 159 inf + 1089 163.883 * * [simplify]: Extracting #5: cost 95 inf + 20173 163.895 * * [simplify]: Extracting #6: cost 14 inf + 70791 163.905 * * [simplify]: Extracting #7: cost 0 inf + 80955 163.915 * * [simplify]: Extracting #8: cost 0 inf + 80609 163.928 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 163.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 163.929 * * * * [progress]: [ 264 / 471 ] simplifiying candidate # 163.929 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 163.929 * * [simplify]: iters left: 6 (9 enodes) 163.936 * * [simplify]: iters left: 5 (38 enodes) 163.944 * * [simplify]: iters left: 4 (65 enodes) 163.955 * * [simplify]: iters left: 3 (105 enodes) 163.983 * * [simplify]: iters left: 2 (194 enodes) 164.055 * * [simplify]: iters left: 1 (398 enodes) 164.322 * * [simplify]: Extracting #0: cost 1 inf + 0 164.322 * * [simplify]: Extracting #1: cost 49 inf + 0 164.323 * * [simplify]: Extracting #2: cost 178 inf + 3 164.325 * * [simplify]: Extracting #3: cost 226 inf + 7 164.328 * * [simplify]: Extracting #4: cost 196 inf + 3416 164.334 * * [simplify]: Extracting #5: cost 149 inf + 11520 164.353 * * [simplify]: Extracting #6: cost 41 inf + 83737 164.390 * * [simplify]: Extracting #7: cost 0 inf + 117218 164.407 * * [simplify]: Extracting #8: cost 0 inf + 114824 164.423 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 164.423 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 164.423 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 164.423 * * [simplify]: iters left: 6 (12 enodes) 164.429 * * [simplify]: iters left: 5 (51 enodes) 164.443 * * [simplify]: iters left: 4 (90 enodes) 164.460 * * [simplify]: iters left: 3 (181 enodes) 164.518 * * [simplify]: Extracting #0: cost 1 inf + 0 164.519 * * [simplify]: Extracting #1: cost 38 inf + 0 164.519 * * [simplify]: Extracting #2: cost 127 inf + 0 164.519 * * [simplify]: Extracting #3: cost 156 inf + 45 164.520 * * [simplify]: Extracting #4: cost 149 inf + 1928 164.522 * * [simplify]: Extracting #5: cost 91 inf + 21734 164.534 * * [simplify]: Extracting #6: cost 7 inf + 71818 164.546 * * [simplify]: Extracting #7: cost 0 inf + 75903 164.554 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 164.554 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 164.554 * * * * [progress]: [ 265 / 471 ] simplifiying candidate # 164.554 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 164.554 * * [simplify]: iters left: 6 (13 enodes) 164.559 * * [simplify]: iters left: 5 (53 enodes) 164.572 * * [simplify]: iters left: 4 (80 enodes) 164.589 * * [simplify]: iters left: 3 (114 enodes) 164.608 * * [simplify]: iters left: 2 (190 enodes) 164.677 * * [simplify]: iters left: 1 (351 enodes) 164.834 * * [simplify]: Extracting #0: cost 1 inf + 0 164.834 * * [simplify]: Extracting #1: cost 6 inf + 0 164.834 * * [simplify]: Extracting #2: cost 9 inf + 1 164.834 * * [simplify]: Extracting #3: cost 32 inf + 1 164.835 * * [simplify]: Extracting #4: cost 100 inf + 2 164.836 * * [simplify]: Extracting #5: cost 138 inf + 92 164.838 * * [simplify]: Extracting #6: cost 123 inf + 2669 164.843 * * [simplify]: Extracting #7: cost 64 inf + 13068 164.854 * * [simplify]: Extracting #8: cost 26 inf + 34585 164.873 * * [simplify]: Extracting #9: cost 0 inf + 56180 164.891 * * [simplify]: Extracting #10: cost 0 inf + 55193 164.904 * * [simplify]: Extracting #11: cost 0 inf + 54792 164.917 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 164.917 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 164.917 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 164.917 * * [simplify]: iters left: 6 (14 enodes) 164.921 * * [simplify]: iters left: 5 (58 enodes) 164.933 * * [simplify]: iters left: 4 (97 enodes) 164.965 * * [simplify]: iters left: 3 (165 enodes) 165.026 * * [simplify]: iters left: 2 (334 enodes) 165.145 * * [simplify]: Extracting #0: cost 1 inf + 0 165.145 * * [simplify]: Extracting #1: cost 61 inf + 0 165.151 * * [simplify]: Extracting #2: cost 173 inf + 0 165.152 * * [simplify]: Extracting #3: cost 237 inf + 45 165.155 * * [simplify]: Extracting #4: cost 226 inf + 9063 165.164 * * [simplify]: Extracting #5: cost 155 inf + 40750 165.176 * * [simplify]: Extracting #6: cost 102 inf + 72390 165.191 * * [simplify]: Extracting #7: cost 19 inf + 143233 165.213 * * [simplify]: Extracting #8: cost 0 inf + 161480 165.234 * * [simplify]: Extracting #9: cost 0 inf + 161349 165.273 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 165.273 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 165.274 * * * * [progress]: [ 266 / 471 ] simplifiying candidate # 165.274 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 165.274 * * [simplify]: iters left: 6 (12 enodes) 165.283 * * [simplify]: iters left: 5 (48 enodes) 165.292 * * [simplify]: iters left: 4 (74 enodes) 165.304 * * [simplify]: iters left: 3 (113 enodes) 165.322 * * [simplify]: iters left: 2 (189 enodes) 165.375 * * [simplify]: iters left: 1 (341 enodes) 165.541 * * [simplify]: Extracting #0: cost 1 inf + 0 165.541 * * [simplify]: Extracting #1: cost 6 inf + 0 165.541 * * [simplify]: Extracting #2: cost 27 inf + 1 165.542 * * [simplify]: Extracting #3: cost 96 inf + 2 165.542 * * [simplify]: Extracting #4: cost 126 inf + 51 165.543 * * [simplify]: Extracting #5: cost 111 inf + 1634 165.545 * * [simplify]: Extracting #6: cost 49 inf + 16304 165.551 * * [simplify]: Extracting #7: cost 5 inf + 43067 165.558 * * [simplify]: Extracting #8: cost 1 inf + 46454 165.564 * * [simplify]: Extracting #9: cost 0 inf + 46869 165.573 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) 165.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 165.574 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 165.574 * * [simplify]: iters left: 6 (14 enodes) 165.578 * * [simplify]: iters left: 5 (58 enodes) 165.590 * * [simplify]: iters left: 4 (98 enodes) 165.610 * * [simplify]: iters left: 3 (166 enodes) 165.671 * * [simplify]: iters left: 2 (335 enodes) 165.803 * * [simplify]: Extracting #0: cost 1 inf + 0 165.803 * * [simplify]: Extracting #1: cost 66 inf + 0 165.804 * * [simplify]: Extracting #2: cost 183 inf + 0 165.805 * * [simplify]: Extracting #3: cost 250 inf + 45 165.806 * * [simplify]: Extracting #4: cost 243 inf + 6074 165.811 * * [simplify]: Extracting #5: cost 146 inf + 49131 165.825 * * [simplify]: Extracting #6: cost 81 inf + 89679 165.859 * * [simplify]: Extracting #7: cost 9 inf + 153685 165.897 * * [simplify]: Extracting #8: cost 0 inf + 161635 165.936 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 165.936 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 165.936 * * * * [progress]: [ 267 / 471 ] simplifiying candidate # 165.936 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 1)) 165.936 * * [simplify]: iters left: 6 (8 enodes) 165.942 * * [simplify]: iters left: 5 (26 enodes) 165.950 * * [simplify]: iters left: 4 (35 enodes) 165.960 * * [simplify]: Extracting #0: cost 1 inf + 0 165.960 * * [simplify]: Extracting #1: cost 0 inf + 1 165.960 * [simplify]: Simplified to 1 165.960 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 165.961 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 165.961 * * [simplify]: iters left: 6 (13 enodes) 165.968 * * [simplify]: iters left: 5 (55 enodes) 165.991 * * [simplify]: iters left: 4 (98 enodes) 166.025 * * [simplify]: iters left: 3 (187 enodes) 166.083 * * [simplify]: Extracting #0: cost 1 inf + 0 166.083 * * [simplify]: Extracting #1: cost 38 inf + 0 166.084 * * [simplify]: Extracting #2: cost 129 inf + 0 166.085 * * [simplify]: Extracting #3: cost 161 inf + 44 166.086 * * [simplify]: Extracting #4: cost 144 inf + 1752 166.094 * * [simplify]: Extracting #5: cost 82 inf + 24648 166.109 * * [simplify]: Extracting #6: cost 10 inf + 71854 166.118 * * [simplify]: Extracting #7: cost 0 inf + 80166 166.126 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 166.127 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 166.127 * * * * [progress]: [ 268 / 471 ] simplifiying candidate # 166.127 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 166.127 * * [simplify]: iters left: 6 (12 enodes) 166.131 * * [simplify]: iters left: 5 (51 enodes) 166.140 * * [simplify]: iters left: 4 (81 enodes) 166.160 * * [simplify]: iters left: 3 (136 enodes) 166.204 * * [simplify]: iters left: 2 (275 enodes) 166.293 * * [simplify]: Extracting #0: cost 1 inf + 0 166.293 * * [simplify]: Extracting #1: cost 21 inf + 0 166.293 * * [simplify]: Extracting #2: cost 83 inf + 2 166.294 * * [simplify]: Extracting #3: cost 130 inf + 9 166.295 * * [simplify]: Extracting #4: cost 120 inf + 1300 166.305 * * [simplify]: Extracting #5: cost 29 inf + 25033 166.313 * * [simplify]: Extracting #6: cost 0 inf + 37288 166.319 * * [simplify]: Extracting #7: cost 0 inf + 36998 166.326 * [simplify]: Simplified to (pow (* 2 PI) (* 1/4 (- 1 k))) 166.326 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 166.326 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 166.326 * * [simplify]: iters left: 6 (14 enodes) 166.331 * * [simplify]: iters left: 5 (61 enodes) 166.346 * * [simplify]: iters left: 4 (108 enodes) 166.385 * * [simplify]: iters left: 3 (215 enodes) 166.486 * * [simplify]: Extracting #0: cost 1 inf + 0 166.486 * * [simplify]: Extracting #1: cost 38 inf + 0 166.487 * * [simplify]: Extracting #2: cost 131 inf + 0 166.488 * * [simplify]: Extracting #3: cost 171 inf + 44 166.489 * * [simplify]: Extracting #4: cost 158 inf + 1557 166.494 * * [simplify]: Extracting #5: cost 92 inf + 24399 166.510 * * [simplify]: Extracting #6: cost 13 inf + 72558 166.527 * * [simplify]: Extracting #7: cost 0 inf + 80426 166.546 * * [simplify]: Extracting #8: cost 0 inf + 80340 166.564 * * [simplify]: Extracting #9: cost 0 inf + 79944 166.585 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 166.585 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 166.585 * * * * [progress]: [ 269 / 471 ] simplifiying candidate # 166.586 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) 1) 166.586 * * [simplify]: iters left: 6 (7 enodes) 166.588 * * [simplify]: iters left: 5 (25 enodes) 166.593 * * [simplify]: iters left: 4 (34 enodes) 166.598 * * [simplify]: Extracting #0: cost 1 inf + 0 166.598 * * [simplify]: Extracting #1: cost 0 inf + 1 166.598 * [simplify]: Simplified to 1 166.598 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 166.598 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 166.598 * * [simplify]: iters left: 6 (13 enodes) 166.603 * * [simplify]: iters left: 5 (55 enodes) 166.612 * * [simplify]: iters left: 4 (98 enodes) 166.645 * * [simplify]: iters left: 3 (187 enodes) 166.706 * * [simplify]: Extracting #0: cost 1 inf + 0 166.706 * * [simplify]: Extracting #1: cost 38 inf + 0 166.706 * * [simplify]: Extracting #2: cost 129 inf + 0 166.707 * * [simplify]: Extracting #3: cost 161 inf + 44 166.709 * * [simplify]: Extracting #4: cost 144 inf + 1752 166.714 * * [simplify]: Extracting #5: cost 82 inf + 24648 166.729 * * [simplify]: Extracting #6: cost 10 inf + 71854 166.746 * * [simplify]: Extracting #7: cost 0 inf + 80166 166.765 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 166.765 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 166.765 * * * * [progress]: [ 270 / 471 ] simplifiying candidate # 166.765 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt k)) 166.766 * * [simplify]: iters left: 6 (8 enodes) 166.770 * * [simplify]: iters left: 5 (30 enodes) 166.775 * * [simplify]: iters left: 4 (39 enodes) 166.781 * * [simplify]: Extracting #0: cost 1 inf + 0 166.781 * * [simplify]: Extracting #1: cost 4 inf + 0 166.781 * * [simplify]: Extracting #2: cost 5 inf + 1 166.781 * * [simplify]: Extracting #3: cost 2 inf + 125 166.781 * * [simplify]: Extracting #4: cost 0 inf + 248 166.781 * [simplify]: Simplified to (/ 1 (sqrt k)) 166.781 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 166.781 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 166.781 * * [simplify]: iters left: 6 (12 enodes) 166.785 * * [simplify]: iters left: 5 (52 enodes) 166.794 * * [simplify]: iters left: 4 (87 enodes) 166.813 * * [simplify]: iters left: 3 (180 enodes) 166.865 * * [simplify]: Extracting #0: cost 1 inf + 0 166.865 * * [simplify]: Extracting #1: cost 41 inf + 0 166.866 * * [simplify]: Extracting #2: cost 123 inf + 1 166.867 * * [simplify]: Extracting #3: cost 158 inf + 3 166.868 * * [simplify]: Extracting #4: cost 158 inf + 53 166.869 * * [simplify]: Extracting #5: cost 145 inf + 1640 166.874 * * [simplify]: Extracting #6: cost 81 inf + 24678 166.892 * * [simplify]: Extracting #7: cost 11 inf + 67989 166.905 * * [simplify]: Extracting #8: cost 0 inf + 75786 166.914 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) 166.914 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 166.914 * * * * [progress]: [ 271 / 471 ] simplifiying candidate # 166.915 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 166.915 * * [simplify]: iters left: 6 (13 enodes) 166.919 * * [simplify]: iters left: 5 (50 enodes) 166.929 * * [simplify]: iters left: 4 (84 enodes) 166.953 * * [simplify]: iters left: 3 (137 enodes) 166.990 * * [simplify]: iters left: 2 (274 enodes) 167.131 * * [simplify]: Extracting #0: cost 1 inf + 0 167.131 * * [simplify]: Extracting #1: cost 39 inf + 0 167.132 * * [simplify]: Extracting #2: cost 110 inf + 1 167.132 * * [simplify]: Extracting #3: cost 107 inf + 132 167.133 * * [simplify]: Extracting #4: cost 100 inf + 301 167.134 * * [simplify]: Extracting #5: cost 58 inf + 17228 167.138 * * [simplify]: Extracting #6: cost 5 inf + 46319 167.143 * * [simplify]: Extracting #7: cost 0 inf + 49696 167.148 * [simplify]: Simplified to (/ (sqrt (* 2 PI)) (sqrt k)) 167.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 167.149 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 167.149 * * [simplify]: iters left: 6 (12 enodes) 167.152 * * [simplify]: iters left: 5 (50 enodes) 167.171 * * [simplify]: iters left: 4 (88 enodes) 167.205 * * [simplify]: iters left: 3 (176 enodes) 167.250 * * [simplify]: iters left: 2 (489 enodes) 168.048 * * [simplify]: Extracting #0: cost 1 inf + 0 168.049 * * [simplify]: Extracting #1: cost 153 inf + 0 168.050 * * [simplify]: Extracting #2: cost 514 inf + 0 168.053 * * [simplify]: Extracting #3: cost 630 inf + 3 168.056 * * [simplify]: Extracting #4: cost 601 inf + 5719 168.073 * * [simplify]: Extracting #5: cost 415 inf + 117580 168.158 * * [simplify]: Extracting #6: cost 58 inf + 442947 168.240 * * [simplify]: Extracting #7: cost 0 inf + 487496 168.300 * * [simplify]: Extracting #8: cost 0 inf + 480392 168.385 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 168.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 168.385 * * * * [progress]: [ 272 / 471 ] simplifiying candidate # 168.386 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 168.386 * * [simplify]: iters left: 6 (17 enodes) 168.395 * * [simplify]: iters left: 5 (71 enodes) 168.419 * * [simplify]: iters left: 4 (114 enodes) 168.459 * * [simplify]: iters left: 3 (172 enodes) 168.519 * * [simplify]: iters left: 2 (298 enodes) 168.611 * * [simplify]: Extracting #0: cost 1 inf + 0 168.611 * * [simplify]: Extracting #1: cost 11 inf + 0 168.612 * * [simplify]: Extracting #2: cost 22 inf + 0 168.612 * * [simplify]: Extracting #3: cost 39 inf + 0 168.612 * * [simplify]: Extracting #4: cost 98 inf + 2 168.613 * * [simplify]: Extracting #5: cost 140 inf + 1917 168.618 * * [simplify]: Extracting #6: cost 79 inf + 20318 168.631 * * [simplify]: Extracting #7: cost 13 inf + 53453 168.646 * * [simplify]: Extracting #8: cost 0 inf + 61354 168.661 * [simplify]: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) 168.661 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 168.661 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 168.661 * * [simplify]: iters left: 6 (15 enodes) 168.666 * * [simplify]: iters left: 5 (59 enodes) 168.677 * * [simplify]: iters left: 4 (91 enodes) 168.692 * * [simplify]: iters left: 3 (137 enodes) 168.718 * * [simplify]: iters left: 2 (237 enodes) 168.803 * * [simplify]: iters left: 1 (468 enodes) 169.018 * * [simplify]: Extracting #0: cost 1 inf + 0 169.018 * * [simplify]: Extracting #1: cost 4 inf + 0 169.018 * * [simplify]: Extracting #2: cost 8 inf + 0 169.018 * * [simplify]: Extracting #3: cost 37 inf + 0 169.019 * * [simplify]: Extracting #4: cost 129 inf + 2 169.019 * * [simplify]: Extracting #5: cost 211 inf + 257 169.022 * * [simplify]: Extracting #6: cost 171 inf + 10472 169.027 * * [simplify]: Extracting #7: cost 90 inf + 43206 169.051 * * [simplify]: Extracting #8: cost 7 inf + 106677 169.067 * * [simplify]: Extracting #9: cost 0 inf + 109197 169.084 * * [simplify]: Extracting #10: cost 0 inf + 109157 169.100 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 169.100 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 169.100 * * * * [progress]: [ 273 / 471 ] simplifiying candidate # 169.100 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 169.101 * * [simplify]: iters left: 6 (16 enodes) 169.105 * * [simplify]: iters left: 5 (64 enodes) 169.118 * * [simplify]: iters left: 4 (100 enodes) 169.150 * * [simplify]: iters left: 3 (149 enodes) 169.201 * * [simplify]: iters left: 2 (249 enodes) 169.302 * * [simplify]: iters left: 1 (486 enodes) 169.467 * * [simplify]: Extracting #0: cost 1 inf + 0 169.467 * * [simplify]: Extracting #1: cost 7 inf + 0 169.467 * * [simplify]: Extracting #2: cost 14 inf + 0 169.467 * * [simplify]: Extracting #3: cost 44 inf + 0 169.468 * * [simplify]: Extracting #4: cost 140 inf + 2 169.469 * * [simplify]: Extracting #5: cost 223 inf + 552 169.475 * * [simplify]: Extracting #6: cost 158 inf + 19795 169.491 * * [simplify]: Extracting #7: cost 39 inf + 93601 169.516 * * [simplify]: Extracting #8: cost 0 inf + 120825 169.546 * * [simplify]: Extracting #9: cost 0 inf + 119862 169.575 * * [simplify]: Extracting #10: cost 0 inf + 119822 169.604 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 169.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 169.604 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 169.605 * * [simplify]: iters left: 6 (15 enodes) 169.613 * * [simplify]: iters left: 5 (59 enodes) 169.633 * * [simplify]: iters left: 4 (91 enodes) 169.650 * * [simplify]: iters left: 3 (137 enodes) 169.685 * * [simplify]: iters left: 2 (237 enodes) 169.749 * * [simplify]: iters left: 1 (468 enodes) 169.940 * * [simplify]: Extracting #0: cost 1 inf + 0 169.941 * * [simplify]: Extracting #1: cost 4 inf + 0 169.941 * * [simplify]: Extracting #2: cost 8 inf + 0 169.941 * * [simplify]: Extracting #3: cost 37 inf + 0 169.942 * * [simplify]: Extracting #4: cost 129 inf + 2 169.943 * * [simplify]: Extracting #5: cost 211 inf + 257 169.947 * * [simplify]: Extracting #6: cost 171 inf + 10352 169.958 * * [simplify]: Extracting #7: cost 90 inf + 43046 169.990 * * [simplify]: Extracting #8: cost 7 inf + 106517 170.023 * * [simplify]: Extracting #9: cost 0 inf + 109037 170.056 * * [simplify]: Extracting #10: cost 0 inf + 108997 170.086 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 170.086 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 170.087 * * * * [progress]: [ 274 / 471 ] simplifiying candidate # 170.087 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 170.087 * * [simplify]: iters left: 6 (15 enodes) 170.092 * * [simplify]: iters left: 5 (64 enodes) 170.104 * * [simplify]: iters left: 4 (125 enodes) 170.136 * * [simplify]: iters left: 3 (288 enodes) 170.282 * * [simplify]: Extracting #0: cost 1 inf + 0 170.282 * * [simplify]: Extracting #1: cost 54 inf + 0 170.283 * * [simplify]: Extracting #2: cost 170 inf + 0 170.284 * * [simplify]: Extracting #3: cost 210 inf + 2 170.286 * * [simplify]: Extracting #4: cost 167 inf + 21194 170.304 * * [simplify]: Extracting #5: cost 34 inf + 104365 170.324 * * [simplify]: Extracting #6: cost 0 inf + 129187 170.347 * * [simplify]: Extracting #7: cost 0 inf + 129029 170.382 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) 170.382 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 170.383 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 170.383 * * [simplify]: iters left: 6 (14 enodes) 170.391 * * [simplify]: iters left: 5 (57 enodes) 170.410 * * [simplify]: iters left: 4 (96 enodes) 170.442 * * [simplify]: iters left: 3 (159 enodes) 170.488 * * [simplify]: iters left: 2 (319 enodes) 170.616 * * [simplify]: Extracting #0: cost 1 inf + 0 170.616 * * [simplify]: Extracting #1: cost 49 inf + 0 170.617 * * [simplify]: Extracting #2: cost 151 inf + 0 170.618 * * [simplify]: Extracting #3: cost 210 inf + 3 170.620 * * [simplify]: Extracting #4: cost 204 inf + 7348 170.635 * * [simplify]: Extracting #5: cost 72 inf + 84014 170.652 * * [simplify]: Extracting #6: cost 3 inf + 141572 170.668 * * [simplify]: Extracting #7: cost 0 inf + 144004 170.695 * * [simplify]: Extracting #8: cost 0 inf + 143611 170.726 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 170.727 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 170.727 * * * * [progress]: [ 275 / 471 ] simplifiying candidate # 170.727 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 170.727 * * [simplify]: iters left: 6 (19 enodes) 170.737 * * [simplify]: iters left: 5 (81 enodes) 170.761 * * [simplify]: iters left: 4 (157 enodes) 170.812 * * [simplify]: iters left: 3 (308 enodes) 170.947 * * [simplify]: Extracting #0: cost 1 inf + 0 170.947 * * [simplify]: Extracting #1: cost 40 inf + 0 170.948 * * [simplify]: Extracting #2: cost 89 inf + 0 170.948 * * [simplify]: Extracting #3: cost 108 inf + 0 170.949 * * [simplify]: Extracting #4: cost 144 inf + 43 170.950 * * [simplify]: Extracting #5: cost 151 inf + 695 170.952 * * [simplify]: Extracting #6: cost 132 inf + 3390 170.958 * * [simplify]: Extracting #7: cost 76 inf + 29663 170.971 * * [simplify]: Extracting #8: cost 9 inf + 74008 170.982 * * [simplify]: Extracting #9: cost 0 inf + 80833 170.995 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) 170.995 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 170.996 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 170.996 * * [simplify]: iters left: 6 (16 enodes) 171.006 * * [simplify]: iters left: 5 (64 enodes) 171.027 * * [simplify]: iters left: 4 (99 enodes) 171.058 * * [simplify]: iters left: 3 (145 enodes) 171.100 * * [simplify]: iters left: 2 (239 enodes) 171.163 * * [simplify]: iters left: 1 (465 enodes) 171.357 * * [simplify]: Extracting #0: cost 1 inf + 0 171.357 * * [simplify]: Extracting #1: cost 8 inf + 0 171.357 * * [simplify]: Extracting #2: cost 17 inf + 0 171.357 * * [simplify]: Extracting #3: cost 63 inf + 0 171.358 * * [simplify]: Extracting #4: cost 165 inf + 165 171.360 * * [simplify]: Extracting #5: cost 192 inf + 2083 171.367 * * [simplify]: Extracting #6: cost 122 inf + 22910 171.384 * * [simplify]: Extracting #7: cost 39 inf + 68512 171.414 * * [simplify]: Extracting #8: cost 5 inf + 96200 171.441 * * [simplify]: Extracting #9: cost 0 inf + 100295 171.457 * * [simplify]: Extracting #10: cost 0 inf + 99702 171.472 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 171.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 171.473 * * * * [progress]: [ 276 / 471 ] simplifiying candidate # 171.473 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 171.473 * * [simplify]: iters left: 6 (18 enodes) 171.478 * * [simplify]: iters left: 5 (74 enodes) 171.490 * * [simplify]: iters left: 4 (125 enodes) 171.525 * * [simplify]: iters left: 3 (228 enodes) 171.610 * * [simplify]: iters left: 2 (397 enodes) 171.728 * * [simplify]: Extracting #0: cost 1 inf + 0 171.729 * * [simplify]: Extracting #1: cost 28 inf + 0 171.729 * * [simplify]: Extracting #2: cost 55 inf + 0 171.729 * * [simplify]: Extracting #3: cost 84 inf + 0 171.730 * * [simplify]: Extracting #4: cost 151 inf + 44 171.732 * * [simplify]: Extracting #5: cost 149 inf + 3654 171.743 * * [simplify]: Extracting #6: cost 73 inf + 29043 171.761 * * [simplify]: Extracting #7: cost 10 inf + 65161 171.775 * * [simplify]: Extracting #8: cost 0 inf + 71348 171.785 * * [simplify]: Extracting #9: cost 0 inf + 70429 171.795 * * [simplify]: Extracting #10: cost 0 inf + 70389 171.809 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) 171.809 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 171.810 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 171.810 * * [simplify]: iters left: 6 (16 enodes) 171.819 * * [simplify]: iters left: 5 (64 enodes) 171.840 * * [simplify]: iters left: 4 (100 enodes) 171.858 * * [simplify]: iters left: 3 (146 enodes) 171.895 * * [simplify]: iters left: 2 (240 enodes) 171.965 * * [simplify]: iters left: 1 (470 enodes) 172.148 * * [simplify]: Extracting #0: cost 1 inf + 0 172.148 * * [simplify]: Extracting #1: cost 8 inf + 0 172.148 * * [simplify]: Extracting #2: cost 18 inf + 0 172.149 * * [simplify]: Extracting #3: cost 66 inf + 0 172.149 * * [simplify]: Extracting #4: cost 186 inf + 44 172.150 * * [simplify]: Extracting #5: cost 203 inf + 1547 172.154 * * [simplify]: Extracting #6: cost 126 inf + 25070 172.165 * * [simplify]: Extracting #7: cost 27 inf + 89743 172.190 * * [simplify]: Extracting #8: cost 0 inf + 109103 172.209 * * [simplify]: Extracting #9: cost 0 inf + 106315 172.227 * * [simplify]: Extracting #10: cost 0 inf + 103216 172.258 * * [simplify]: Extracting #11: cost 0 inf + 103034 172.275 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 172.275 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 172.275 * * * * [progress]: [ 277 / 471 ] simplifiying candidate # 172.276 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 172.276 * * [simplify]: iters left: 6 (14 enodes) 172.280 * * [simplify]: iters left: 5 (57 enodes) 172.295 * * [simplify]: iters left: 4 (106 enodes) 172.329 * * [simplify]: iters left: 3 (172 enodes) 172.390 * * [simplify]: iters left: 2 (276 enodes) 172.480 * * [simplify]: iters left: 1 (467 enodes) 172.656 * * [simplify]: Extracting #0: cost 1 inf + 0 172.657 * * [simplify]: Extracting #1: cost 16 inf + 0 172.657 * * [simplify]: Extracting #2: cost 30 inf + 1 172.657 * * [simplify]: Extracting #3: cost 57 inf + 1 172.658 * * [simplify]: Extracting #4: cost 120 inf + 86 172.659 * * [simplify]: Extracting #5: cost 159 inf + 946 172.663 * * [simplify]: Extracting #6: cost 100 inf + 11465 172.673 * * [simplify]: Extracting #7: cost 40 inf + 32004 172.683 * * [simplify]: Extracting #8: cost 10 inf + 54729 172.692 * * [simplify]: Extracting #9: cost 0 inf + 63219 172.701 * * [simplify]: Extracting #10: cost 0 inf + 62797 172.715 * [simplify]: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 172.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 172.716 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 172.716 * * [simplify]: iters left: 6 (15 enodes) 172.724 * * [simplify]: iters left: 5 (61 enodes) 172.745 * * [simplify]: iters left: 4 (100 enodes) 172.777 * * [simplify]: iters left: 3 (167 enodes) 172.816 * * [simplify]: iters left: 2 (333 enodes) 172.913 * * [simplify]: Extracting #0: cost 1 inf + 0 172.913 * * [simplify]: Extracting #1: cost 52 inf + 0 172.914 * * [simplify]: Extracting #2: cost 155 inf + 0 172.915 * * [simplify]: Extracting #3: cost 214 inf + 2 172.918 * * [simplify]: Extracting #4: cost 222 inf + 3880 172.925 * * [simplify]: Extracting #5: cost 148 inf + 31103 172.950 * * [simplify]: Extracting #6: cost 22 inf + 130262 172.971 * * [simplify]: Extracting #7: cost 1 inf + 148647 172.993 * * [simplify]: Extracting #8: cost 0 inf + 149671 173.029 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (sqrt k))) 173.029 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (sqrt k))))) 173.029 * * * * [progress]: [ 278 / 471 ] simplifiying candidate # 173.030 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 173.030 * * [simplify]: iters left: 6 (18 enodes) 173.040 * * [simplify]: iters left: 5 (77 enodes) 173.066 * * [simplify]: iters left: 4 (139 enodes) 173.119 * * [simplify]: iters left: 3 (315 enodes) 173.246 * * [simplify]: Extracting #0: cost 1 inf + 0 173.246 * * [simplify]: Extracting #1: cost 54 inf + 0 173.247 * * [simplify]: Extracting #2: cost 174 inf + 0 173.248 * * [simplify]: Extracting #3: cost 225 inf + 1 173.251 * * [simplify]: Extracting #4: cost 212 inf + 7879 173.266 * * [simplify]: Extracting #5: cost 102 inf + 63103 173.293 * * [simplify]: Extracting #6: cost 2 inf + 141788 173.320 * * [simplify]: Extracting #7: cost 0 inf + 142666 173.358 * * [simplify]: Extracting #8: cost 0 inf + 142586 173.396 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) 173.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 173.397 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 173.397 * * [simplify]: iters left: 6 (16 enodes) 173.406 * * [simplify]: iters left: 5 (67 enodes) 173.429 * * [simplify]: iters left: 4 (110 enodes) 173.466 * * [simplify]: iters left: 3 (191 enodes) 173.543 * * [simplify]: iters left: 2 (385 enodes) 173.684 * * [simplify]: Extracting #0: cost 1 inf + 0 173.684 * * [simplify]: Extracting #1: cost 47 inf + 0 173.685 * * [simplify]: Extracting #2: cost 153 inf + 0 173.687 * * [simplify]: Extracting #3: cost 228 inf + 2 173.690 * * [simplify]: Extracting #4: cost 222 inf + 7239 173.701 * * [simplify]: Extracting #5: cost 127 inf + 50164 173.733 * * [simplify]: Extracting #6: cost 18 inf + 134016 173.750 * * [simplify]: Extracting #7: cost 0 inf + 151753 173.783 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 173.783 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 173.783 * * * * [progress]: [ 279 / 471 ] simplifiying candidate # 173.784 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 173.784 * * [simplify]: iters left: 6 (15 enodes) 173.789 * * [simplify]: iters left: 5 (63 enodes) 173.800 * * [simplify]: iters left: 4 (110 enodes) 173.822 * * [simplify]: iters left: 3 (195 enodes) 173.876 * * [simplify]: iters left: 2 (432 enodes) 174.069 * * [simplify]: Extracting #0: cost 1 inf + 0 174.069 * * [simplify]: Extracting #1: cost 87 inf + 0 174.070 * * [simplify]: Extracting #2: cost 303 inf + 0 174.072 * * [simplify]: Extracting #3: cost 379 inf + 3 174.075 * * [simplify]: Extracting #4: cost 355 inf + 15718 174.089 * * [simplify]: Extracting #5: cost 152 inf + 148057 174.131 * * [simplify]: Extracting #6: cost 4 inf + 263959 174.190 * * [simplify]: Extracting #7: cost 0 inf + 260895 174.245 * * [simplify]: Extracting #8: cost 0 inf + 259939 174.299 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 174.299 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 174.300 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 174.300 * * [simplify]: iters left: 6 (14 enodes) 174.308 * * [simplify]: iters left: 5 (57 enodes) 174.320 * * [simplify]: iters left: 4 (96 enodes) 174.336 * * [simplify]: iters left: 3 (159 enodes) 174.393 * * [simplify]: iters left: 2 (319 enodes) 174.488 * * [simplify]: Extracting #0: cost 1 inf + 0 174.488 * * [simplify]: Extracting #1: cost 49 inf + 0 174.488 * * [simplify]: Extracting #2: cost 151 inf + 0 174.489 * * [simplify]: Extracting #3: cost 210 inf + 3 174.490 * * [simplify]: Extracting #4: cost 204 inf + 7388 174.497 * * [simplify]: Extracting #5: cost 72 inf + 84094 174.511 * * [simplify]: Extracting #6: cost 3 inf + 141652 174.527 * * [simplify]: Extracting #7: cost 0 inf + 144084 174.543 * * [simplify]: Extracting #8: cost 0 inf + 143691 174.561 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 174.561 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 174.561 * * * * [progress]: [ 280 / 471 ] simplifiying candidate # 174.561 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 174.561 * * [simplify]: iters left: 6 (19 enodes) 174.567 * * [simplify]: iters left: 5 (78 enodes) 174.579 * * [simplify]: iters left: 4 (125 enodes) 174.600 * * [simplify]: iters left: 3 (211 enodes) 174.642 * * [simplify]: iters left: 2 (375 enodes) 174.768 * * [simplify]: Extracting #0: cost 1 inf + 0 174.769 * * [simplify]: Extracting #1: cost 28 inf + 0 174.769 * * [simplify]: Extracting #2: cost 52 inf + 0 174.769 * * [simplify]: Extracting #3: cost 77 inf + 0 174.770 * * [simplify]: Extracting #4: cost 139 inf + 84 174.772 * * [simplify]: Extracting #5: cost 153 inf + 2571 174.779 * * [simplify]: Extracting #6: cost 79 inf + 30947 174.796 * * [simplify]: Extracting #7: cost 8 inf + 70169 174.815 * * [simplify]: Extracting #8: cost 0 inf + 73645 174.834 * * [simplify]: Extracting #9: cost 0 inf + 73434 174.853 * [simplify]: Simplified to (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) 174.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 174.854 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 174.854 * * [simplify]: iters left: 6 (16 enodes) 174.863 * * [simplify]: iters left: 5 (64 enodes) 174.884 * * [simplify]: iters left: 4 (99 enodes) 174.903 * * [simplify]: iters left: 3 (145 enodes) 174.940 * * [simplify]: iters left: 2 (239 enodes) 175.002 * * [simplify]: iters left: 1 (465 enodes) 175.194 * * [simplify]: Extracting #0: cost 1 inf + 0 175.194 * * [simplify]: Extracting #1: cost 8 inf + 0 175.194 * * [simplify]: Extracting #2: cost 17 inf + 0 175.194 * * [simplify]: Extracting #3: cost 63 inf + 0 175.194 * * [simplify]: Extracting #4: cost 165 inf + 205 175.195 * * [simplify]: Extracting #5: cost 192 inf + 2163 175.199 * * [simplify]: Extracting #6: cost 122 inf + 22990 175.210 * * [simplify]: Extracting #7: cost 39 inf + 68592 175.233 * * [simplify]: Extracting #8: cost 5 inf + 96280 175.246 * * [simplify]: Extracting #9: cost 0 inf + 100375 175.261 * * [simplify]: Extracting #10: cost 0 inf + 99782 175.278 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.278 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (fabs (cbrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 175.278 * * * * [progress]: [ 281 / 471 ] simplifiying candidate # 175.278 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.279 * * [simplify]: iters left: 6 (18 enodes) 175.284 * * [simplify]: iters left: 5 (73 enodes) 175.298 * * [simplify]: iters left: 4 (113 enodes) 175.328 * * [simplify]: iters left: 3 (179 enodes) 175.366 * * [simplify]: iters left: 2 (309 enodes) 175.439 * * [simplify]: Extracting #0: cost 1 inf + 0 175.439 * * [simplify]: Extracting #1: cost 16 inf + 0 175.439 * * [simplify]: Extracting #2: cost 34 inf + 0 175.439 * * [simplify]: Extracting #3: cost 62 inf + 0 175.439 * * [simplify]: Extracting #4: cost 135 inf + 84 175.440 * * [simplify]: Extracting #5: cost 140 inf + 2652 175.442 * * [simplify]: Extracting #6: cost 80 inf + 17820 175.448 * * [simplify]: Extracting #7: cost 17 inf + 48542 175.458 * * [simplify]: Extracting #8: cost 1 inf + 59468 175.469 * * [simplify]: Extracting #9: cost 0 inf + 59106 175.484 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.484 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 175.484 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 175.484 * * [simplify]: iters left: 6 (16 enodes) 175.491 * * [simplify]: iters left: 5 (64 enodes) 175.502 * * [simplify]: iters left: 4 (100 enodes) 175.517 * * [simplify]: iters left: 3 (146 enodes) 175.550 * * [simplify]: iters left: 2 (240 enodes) 175.604 * * [simplify]: iters left: 1 (470 enodes) 175.784 * * [simplify]: Extracting #0: cost 1 inf + 0 175.784 * * [simplify]: Extracting #1: cost 8 inf + 0 175.784 * * [simplify]: Extracting #2: cost 18 inf + 0 175.784 * * [simplify]: Extracting #3: cost 66 inf + 0 175.785 * * [simplify]: Extracting #4: cost 186 inf + 84 175.786 * * [simplify]: Extracting #5: cost 203 inf + 1627 175.790 * * [simplify]: Extracting #6: cost 126 inf + 25150 175.809 * * [simplify]: Extracting #7: cost 27 inf + 89823 175.844 * * [simplify]: Extracting #8: cost 0 inf + 109183 175.875 * * [simplify]: Extracting #9: cost 0 inf + 106395 175.908 * * [simplify]: Extracting #10: cost 0 inf + 103296 175.941 * * [simplify]: Extracting #11: cost 0 inf + 103114 175.975 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 175.975 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 175.975 * * * * [progress]: [ 282 / 471 ] simplifiying candidate # 175.976 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 175.976 * * [simplify]: iters left: 6 (14 enodes) 175.984 * * [simplify]: iters left: 5 (55 enodes) 176.006 * * [simplify]: iters left: 4 (91 enodes) 176.026 * * [simplify]: iters left: 3 (134 enodes) 176.048 * * [simplify]: iters left: 2 (204 enodes) 176.102 * * [simplify]: iters left: 1 (367 enodes) 176.281 * * [simplify]: Extracting #0: cost 1 inf + 0 176.282 * * [simplify]: Extracting #1: cost 9 inf + 0 176.282 * * [simplify]: Extracting #2: cost 17 inf + 1 176.282 * * [simplify]: Extracting #3: cost 45 inf + 1 176.283 * * [simplify]: Extracting #4: cost 108 inf + 85 176.284 * * [simplify]: Extracting #5: cost 142 inf + 2314 176.289 * * [simplify]: Extracting #6: cost 88 inf + 13779 176.303 * * [simplify]: Extracting #7: cost 8 inf + 56814 176.312 * * [simplify]: Extracting #8: cost 0 inf + 60573 176.320 * * [simplify]: Extracting #9: cost 0 inf + 59654 176.331 * * [simplify]: Extracting #10: cost 0 inf + 58468 176.341 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) 176.341 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 176.341 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 176.341 * * [simplify]: iters left: 6 (15 enodes) 176.350 * * [simplify]: iters left: 5 (61 enodes) 176.370 * * [simplify]: iters left: 4 (100 enodes) 176.404 * * [simplify]: iters left: 3 (167 enodes) 176.451 * * [simplify]: iters left: 2 (333 enodes) 176.568 * * [simplify]: Extracting #0: cost 1 inf + 0 176.569 * * [simplify]: Extracting #1: cost 52 inf + 0 176.570 * * [simplify]: Extracting #2: cost 155 inf + 0 176.571 * * [simplify]: Extracting #3: cost 214 inf + 2 176.573 * * [simplify]: Extracting #4: cost 222 inf + 3920 176.580 * * [simplify]: Extracting #5: cost 148 inf + 31183 176.599 * * [simplify]: Extracting #6: cost 22 inf + 130342 176.617 * * [simplify]: Extracting #7: cost 1 inf + 148727 176.649 * * [simplify]: Extracting #8: cost 0 inf + 149751 176.673 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (cbrt k))) 176.673 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (cbrt k))))) 176.674 * * * * [progress]: [ 283 / 471 ] simplifiying candidate # 176.674 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 176.674 * * [simplify]: iters left: 6 (18 enodes) 176.679 * * [simplify]: iters left: 5 (76 enodes) 176.698 * * [simplify]: iters left: 4 (127 enodes) 176.721 * * [simplify]: iters left: 3 (232 enodes) 176.776 * * [simplify]: Extracting #0: cost 1 inf + 0 176.776 * * [simplify]: Extracting #1: cost 31 inf + 0 176.777 * * [simplify]: Extracting #2: cost 97 inf + 0 176.777 * * [simplify]: Extracting #3: cost 143 inf + 1 176.778 * * [simplify]: Extracting #4: cost 147 inf + 1967 176.780 * * [simplify]: Extracting #5: cost 72 inf + 25007 176.787 * * [simplify]: Extracting #6: cost 17 inf + 58993 176.800 * * [simplify]: Extracting #7: cost 0 inf + 73147 176.819 * * [simplify]: Extracting #8: cost 0 inf + 73066 176.838 * [simplify]: Simplified to (/ (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))) (/ (fabs (cbrt k)) (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))))) 176.838 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))) (/ (fabs (cbrt k)) (* (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 16))) (pow (* 2 PI) (/ (- 1 k) 16))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 176.838 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 176.839 * * [simplify]: iters left: 6 (16 enodes) 176.848 * * [simplify]: iters left: 5 (67 enodes) 176.871 * * [simplify]: iters left: 4 (110 enodes) 176.912 * * [simplify]: iters left: 3 (191 enodes) 176.987 * * [simplify]: iters left: 2 (385 enodes) 177.104 * * [simplify]: Extracting #0: cost 1 inf + 0 177.104 * * [simplify]: Extracting #1: cost 47 inf + 0 177.104 * * [simplify]: Extracting #2: cost 153 inf + 0 177.108 * * [simplify]: Extracting #3: cost 228 inf + 2 177.110 * * [simplify]: Extracting #4: cost 222 inf + 7279 177.119 * * [simplify]: Extracting #5: cost 127 inf + 50244 177.148 * * [simplify]: Extracting #6: cost 18 inf + 134096 177.184 * * [simplify]: Extracting #7: cost 0 inf + 151833 177.221 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 177.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 177.221 * * * * [progress]: [ 284 / 471 ] simplifiying candidate # 177.221 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 177.221 * * [simplify]: iters left: 6 (14 enodes) 177.229 * * [simplify]: iters left: 5 (59 enodes) 177.244 * * [simplify]: iters left: 4 (106 enodes) 177.264 * * [simplify]: iters left: 3 (191 enodes) 177.335 * * [simplify]: iters left: 2 (432 enodes) 177.514 * * [simplify]: Extracting #0: cost 1 inf + 0 177.514 * * [simplify]: Extracting #1: cost 80 inf + 0 177.515 * * [simplify]: Extracting #2: cost 276 inf + 0 177.516 * * [simplify]: Extracting #3: cost 348 inf + 3 177.518 * * [simplify]: Extracting #4: cost 340 inf + 8803 177.523 * * [simplify]: Extracting #5: cost 277 inf + 36963 177.542 * * [simplify]: Extracting #6: cost 119 inf + 165521 177.573 * * [simplify]: Extracting #7: cost 17 inf + 253977 177.620 * * [simplify]: Extracting #8: cost 0 inf + 263749 177.660 * * [simplify]: Extracting #9: cost 0 inf + 261653 177.692 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 177.692 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 177.693 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 177.693 * * [simplify]: iters left: 6 (14 enodes) 177.701 * * [simplify]: iters left: 5 (57 enodes) 177.720 * * [simplify]: iters left: 4 (96 enodes) 177.736 * * [simplify]: iters left: 3 (159 enodes) 177.775 * * [simplify]: iters left: 2 (319 enodes) 177.880 * * [simplify]: Extracting #0: cost 1 inf + 0 177.881 * * [simplify]: Extracting #1: cost 49 inf + 0 177.881 * * [simplify]: Extracting #2: cost 151 inf + 0 177.882 * * [simplify]: Extracting #3: cost 210 inf + 3 177.885 * * [simplify]: Extracting #4: cost 204 inf + 7068 177.899 * * [simplify]: Extracting #5: cost 72 inf + 82254 177.914 * * [simplify]: Extracting #6: cost 3 inf + 138692 177.931 * * [simplify]: Extracting #7: cost 0 inf + 141044 177.966 * * [simplify]: Extracting #8: cost 0 inf + 140651 177.997 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 177.997 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 177.998 * * * * [progress]: [ 285 / 471 ] simplifiying candidate # 177.998 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 177.998 * * [simplify]: iters left: 6 (18 enodes) 178.008 * * [simplify]: iters left: 5 (74 enodes) 178.032 * * [simplify]: iters left: 4 (121 enodes) 178.073 * * [simplify]: iters left: 3 (207 enodes) 178.138 * * [simplify]: iters left: 2 (373 enodes) 178.229 * * [simplify]: Extracting #0: cost 1 inf + 0 178.229 * * [simplify]: Extracting #1: cost 28 inf + 0 178.229 * * [simplify]: Extracting #2: cost 51 inf + 0 178.230 * * [simplify]: Extracting #3: cost 74 inf + 0 178.230 * * [simplify]: Extracting #4: cost 136 inf + 85 178.231 * * [simplify]: Extracting #5: cost 154 inf + 2210 178.233 * * [simplify]: Extracting #6: cost 100 inf + 19135 178.240 * * [simplify]: Extracting #7: cost 21 inf + 58102 178.259 * * [simplify]: Extracting #8: cost 1 inf + 71676 178.279 * * [simplify]: Extracting #9: cost 0 inf + 71648 178.298 * * [simplify]: Extracting #10: cost 0 inf + 71404 178.320 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 178.320 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 178.321 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 178.321 * * [simplify]: iters left: 6 (16 enodes) 178.330 * * [simplify]: iters left: 5 (64 enodes) 178.351 * * [simplify]: iters left: 4 (99 enodes) 178.379 * * [simplify]: iters left: 3 (145 enodes) 178.404 * * [simplify]: iters left: 2 (239 enodes) 178.464 * * [simplify]: iters left: 1 (465 enodes) 178.681 * * [simplify]: Extracting #0: cost 1 inf + 0 178.681 * * [simplify]: Extracting #1: cost 8 inf + 0 178.681 * * [simplify]: Extracting #2: cost 17 inf + 0 178.681 * * [simplify]: Extracting #3: cost 63 inf + 0 178.683 * * [simplify]: Extracting #4: cost 165 inf + 125 178.684 * * [simplify]: Extracting #5: cost 192 inf + 2003 178.692 * * [simplify]: Extracting #6: cost 122 inf + 22710 178.705 * * [simplify]: Extracting #7: cost 39 inf + 68192 178.718 * * [simplify]: Extracting #8: cost 5 inf + 95880 178.739 * * [simplify]: Extracting #9: cost 0 inf + 99975 178.764 * * [simplify]: Extracting #10: cost 0 inf + 99382 178.778 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 178.778 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 178.778 * * * * [progress]: [ 286 / 471 ] simplifiying candidate # 178.779 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 178.779 * * [simplify]: iters left: 6 (17 enodes) 178.784 * * [simplify]: iters left: 5 (69 enodes) 178.800 * * [simplify]: iters left: 4 (109 enodes) 178.836 * * [simplify]: iters left: 3 (175 enodes) 178.898 * * [simplify]: iters left: 2 (302 enodes) 178.963 * * [simplify]: Extracting #0: cost 1 inf + 0 178.964 * * [simplify]: Extracting #1: cost 16 inf + 0 178.964 * * [simplify]: Extracting #2: cost 33 inf + 0 178.964 * * [simplify]: Extracting #3: cost 60 inf + 0 178.964 * * [simplify]: Extracting #4: cost 129 inf + 44 178.967 * * [simplify]: Extracting #5: cost 131 inf + 2457 178.969 * * [simplify]: Extracting #6: cost 77 inf + 16580 178.975 * * [simplify]: Extracting #7: cost 23 inf + 41480 178.988 * * [simplify]: Extracting #8: cost 3 inf + 53255 179.002 * * [simplify]: Extracting #9: cost 0 inf + 55462 179.017 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 179.017 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 179.017 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 179.017 * * [simplify]: iters left: 6 (16 enodes) 179.026 * * [simplify]: iters left: 5 (64 enodes) 179.039 * * [simplify]: iters left: 4 (100 enodes) 179.055 * * [simplify]: iters left: 3 (146 enodes) 179.102 * * [simplify]: iters left: 2 (240 enodes) 179.169 * * [simplify]: iters left: 1 (470 enodes) 179.346 * * [simplify]: Extracting #0: cost 1 inf + 0 179.346 * * [simplify]: Extracting #1: cost 8 inf + 0 179.346 * * [simplify]: Extracting #2: cost 18 inf + 0 179.346 * * [simplify]: Extracting #3: cost 66 inf + 0 179.347 * * [simplify]: Extracting #4: cost 186 inf + 44 179.348 * * [simplify]: Extracting #5: cost 203 inf + 1467 179.352 * * [simplify]: Extracting #6: cost 126 inf + 24870 179.367 * * [simplify]: Extracting #7: cost 27 inf + 89423 179.382 * * [simplify]: Extracting #8: cost 0 inf + 108783 179.409 * * [simplify]: Extracting #9: cost 0 inf + 105995 179.443 * * [simplify]: Extracting #10: cost 0 inf + 102896 179.478 * * [simplify]: Extracting #11: cost 0 inf + 102714 179.513 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 179.513 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 179.514 * * * * [progress]: [ 287 / 471 ] simplifiying candidate # 179.514 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1)) 179.514 * * [simplify]: iters left: 6 (13 enodes) 179.522 * * [simplify]: iters left: 5 (52 enodes) 179.540 * * [simplify]: iters left: 4 (83 enodes) 179.567 * * [simplify]: iters left: 3 (125 enodes) 179.609 * * [simplify]: iters left: 2 (200 enodes) 179.689 * * [simplify]: iters left: 1 (356 enodes) 179.840 * * [simplify]: Extracting #0: cost 1 inf + 0 179.840 * * [simplify]: Extracting #1: cost 9 inf + 0 179.840 * * [simplify]: Extracting #2: cost 16 inf + 1 179.840 * * [simplify]: Extracting #3: cost 42 inf + 1 179.841 * * [simplify]: Extracting #4: cost 106 inf + 45 179.841 * * [simplify]: Extracting #5: cost 131 inf + 3597 179.845 * * [simplify]: Extracting #6: cost 60 inf + 29049 179.863 * * [simplify]: Extracting #7: cost 0 inf + 51531 179.886 * * [simplify]: Extracting #8: cost 0 inf + 49389 179.908 * * [simplify]: Extracting #9: cost 0 inf + 49349 179.935 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 179.935 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 179.936 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 179.936 * * [simplify]: iters left: 6 (15 enodes) 179.944 * * [simplify]: iters left: 5 (61 enodes) 179.965 * * [simplify]: iters left: 4 (100 enodes) 179.995 * * [simplify]: iters left: 3 (167 enodes) 180.038 * * [simplify]: iters left: 2 (333 enodes) 180.145 * * [simplify]: Extracting #0: cost 1 inf + 0 180.145 * * [simplify]: Extracting #1: cost 52 inf + 0 180.145 * * [simplify]: Extracting #2: cost 155 inf + 0 180.146 * * [simplify]: Extracting #3: cost 214 inf + 2 180.147 * * [simplify]: Extracting #4: cost 222 inf + 3880 180.151 * * [simplify]: Extracting #5: cost 148 inf + 30743 180.164 * * [simplify]: Extracting #6: cost 22 inf + 127982 180.182 * * [simplify]: Extracting #7: cost 1 inf + 145687 180.218 * * [simplify]: Extracting #8: cost 0 inf + 146671 180.253 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 180.253 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 180.253 * * * * [progress]: [ 288 / 471 ] simplifiying candidate # 180.254 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 180.254 * * [simplify]: iters left: 6 (17 enodes) 180.262 * * [simplify]: iters left: 5 (72 enodes) 180.276 * * [simplify]: iters left: 4 (120 enodes) 180.298 * * [simplify]: iters left: 3 (222 enodes) 180.363 * * [simplify]: Extracting #0: cost 1 inf + 0 180.363 * * [simplify]: Extracting #1: cost 31 inf + 0 180.364 * * [simplify]: Extracting #2: cost 97 inf + 0 180.364 * * [simplify]: Extracting #3: cost 142 inf + 1 180.366 * * [simplify]: Extracting #4: cost 150 inf + 1385 180.371 * * [simplify]: Extracting #5: cost 87 inf + 17544 180.384 * * [simplify]: Extracting #6: cost 17 inf + 57022 180.402 * * [simplify]: Extracting #7: cost 0 inf + 72312 180.420 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) 180.420 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 180.421 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 180.421 * * [simplify]: iters left: 6 (16 enodes) 180.428 * * [simplify]: iters left: 5 (67 enodes) 180.440 * * [simplify]: iters left: 4 (110 enodes) 180.460 * * [simplify]: iters left: 3 (191 enodes) 180.500 * * [simplify]: iters left: 2 (385 enodes) 180.611 * * [simplify]: Extracting #0: cost 1 inf + 0 180.611 * * [simplify]: Extracting #1: cost 47 inf + 0 180.612 * * [simplify]: Extracting #2: cost 153 inf + 0 180.614 * * [simplify]: Extracting #3: cost 228 inf + 2 180.617 * * [simplify]: Extracting #4: cost 222 inf + 7079 180.628 * * [simplify]: Extracting #5: cost 127 inf + 49124 180.662 * * [simplify]: Extracting #6: cost 18 inf + 131456 180.697 * * [simplify]: Extracting #7: cost 0 inf + 148753 180.732 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 180.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 180.733 * * * * [progress]: [ 289 / 471 ] simplifiying candidate # 180.733 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 180.733 * * [simplify]: iters left: 6 (13 enodes) 180.742 * * [simplify]: iters left: 5 (56 enodes) 180.761 * * [simplify]: iters left: 4 (101 enodes) 180.783 * * [simplify]: iters left: 3 (193 enodes) 180.853 * * [simplify]: iters left: 2 (420 enodes) 181.119 * * [simplify]: Extracting #0: cost 1 inf + 0 181.119 * * [simplify]: Extracting #1: cost 102 inf + 0 181.120 * * [simplify]: Extracting #2: cost 300 inf + 1 181.123 * * [simplify]: Extracting #3: cost 343 inf + 4 181.126 * * [simplify]: Extracting #4: cost 374 inf + 11 181.132 * * [simplify]: Extracting #5: cost 318 inf + 16742 181.153 * * [simplify]: Extracting #6: cost 167 inf + 105182 181.198 * * [simplify]: Extracting #7: cost 6 inf + 235666 181.232 * * [simplify]: Extracting #8: cost 0 inf + 236919 181.277 * * [simplify]: Extracting #9: cost 0 inf + 236829 181.308 * [simplify]: Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) 181.308 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 181.308 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 181.308 * * [simplify]: iters left: 6 (13 enodes) 181.317 * * [simplify]: iters left: 5 (54 enodes) 181.338 * * [simplify]: iters left: 4 (93 enodes) 181.365 * * [simplify]: iters left: 3 (160 enodes) 181.396 * * [simplify]: iters left: 2 (322 enodes) 181.486 * * [simplify]: Extracting #0: cost 1 inf + 0 181.487 * * [simplify]: Extracting #1: cost 52 inf + 0 181.488 * * [simplify]: Extracting #2: cost 150 inf + 0 181.489 * * [simplify]: Extracting #3: cost 203 inf + 45 181.492 * * [simplify]: Extracting #4: cost 188 inf + 9769 181.507 * * [simplify]: Extracting #5: cost 68 inf + 76755 181.541 * * [simplify]: Extracting #6: cost 1 inf + 126582 181.572 * * [simplify]: Extracting #7: cost 0 inf + 125129 181.600 * * [simplify]: Extracting #8: cost 0 inf + 125049 181.616 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 181.616 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 181.616 * * * * [progress]: [ 290 / 471 ] simplifiying candidate # 181.616 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 181.616 * * [simplify]: iters left: 6 (17 enodes) 181.622 * * [simplify]: iters left: 5 (71 enodes) 181.645 * * [simplify]: iters left: 4 (119 enodes) 181.689 * * [simplify]: iters left: 3 (225 enodes) 181.754 * * [simplify]: iters left: 2 (400 enodes) 181.864 * * [simplify]: Extracting #0: cost 1 inf + 0 181.864 * * [simplify]: Extracting #1: cost 26 inf + 0 181.864 * * [simplify]: Extracting #2: cost 51 inf + 1 181.865 * * [simplify]: Extracting #3: cost 73 inf + 1 181.866 * * [simplify]: Extracting #4: cost 136 inf + 3 181.867 * * [simplify]: Extracting #5: cost 168 inf + 8 181.869 * * [simplify]: Extracting #6: cost 147 inf + 3040 181.875 * * [simplify]: Extracting #7: cost 80 inf + 25218 181.892 * * [simplify]: Extracting #8: cost 10 inf + 66476 181.913 * * [simplify]: Extracting #9: cost 0 inf + 74013 181.933 * [simplify]: Simplified to (* (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 181.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (* (cbrt (pow n (* 1/2 (- 1 k)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 181.933 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 181.934 * * [simplify]: iters left: 6 (15 enodes) 181.938 * * [simplify]: iters left: 5 (61 enodes) 181.948 * * [simplify]: iters left: 4 (96 enodes) 181.963 * * [simplify]: iters left: 3 (146 enodes) 182.011 * * [simplify]: iters left: 2 (245 enodes) 182.109 * * [simplify]: iters left: 1 (471 enodes) 182.314 * * [simplify]: Extracting #0: cost 1 inf + 0 182.314 * * [simplify]: Extracting #1: cost 8 inf + 0 182.314 * * [simplify]: Extracting #2: cost 17 inf + 0 182.314 * * [simplify]: Extracting #3: cost 60 inf + 83 182.315 * * [simplify]: Extracting #4: cost 167 inf + 85 182.316 * * [simplify]: Extracting #5: cost 205 inf + 383 182.318 * * [simplify]: Extracting #6: cost 158 inf + 7674 182.324 * * [simplify]: Extracting #7: cost 70 inf + 49821 182.335 * * [simplify]: Extracting #8: cost 3 inf + 98467 182.360 * * [simplify]: Extracting #9: cost 0 inf + 100515 182.385 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.385 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 182.386 * * * * [progress]: [ 291 / 471 ] simplifiying candidate # 182.386 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.386 * * [simplify]: iters left: 6 (16 enodes) 182.396 * * [simplify]: iters left: 5 (66 enodes) 182.422 * * [simplify]: iters left: 4 (108 enodes) 182.459 * * [simplify]: iters left: 3 (181 enodes) 182.520 * * [simplify]: iters left: 2 (293 enodes) 182.633 * * [simplify]: Extracting #0: cost 1 inf + 0 182.633 * * [simplify]: Extracting #1: cost 15 inf + 0 182.633 * * [simplify]: Extracting #2: cost 30 inf + 1 182.634 * * [simplify]: Extracting #3: cost 56 inf + 1 182.634 * * [simplify]: Extracting #4: cost 124 inf + 3 182.635 * * [simplify]: Extracting #5: cost 148 inf + 9 182.636 * * [simplify]: Extracting #6: cost 140 inf + 1263 182.640 * * [simplify]: Extracting #7: cost 78 inf + 16394 182.649 * * [simplify]: Extracting #8: cost 27 inf + 37589 182.663 * * [simplify]: Extracting #9: cost 1 inf + 53731 182.677 * * [simplify]: Extracting #10: cost 0 inf + 54478 182.690 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 182.691 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 182.691 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 182.691 * * [simplify]: iters left: 6 (15 enodes) 182.700 * * [simplify]: iters left: 5 (61 enodes) 182.724 * * [simplify]: iters left: 4 (97 enodes) 182.755 * * [simplify]: iters left: 3 (147 enodes) 182.791 * * [simplify]: iters left: 2 (246 enodes) 182.848 * * [simplify]: iters left: 1 (462 enodes) 183.061 * * [simplify]: Extracting #0: cost 1 inf + 0 183.061 * * [simplify]: Extracting #1: cost 8 inf + 0 183.061 * * [simplify]: Extracting #2: cost 18 inf + 0 183.062 * * [simplify]: Extracting #3: cost 64 inf + 83 183.063 * * [simplify]: Extracting #4: cost 182 inf + 85 183.065 * * [simplify]: Extracting #5: cost 189 inf + 2753 183.074 * * [simplify]: Extracting #6: cost 99 inf + 37066 183.100 * * [simplify]: Extracting #7: cost 7 inf + 102997 183.130 * * [simplify]: Extracting #8: cost 0 inf + 106424 183.152 * * [simplify]: Extracting #9: cost 0 inf + 103918 183.168 * * [simplify]: Extracting #10: cost 0 inf + 101054 183.196 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 183.196 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 183.196 * * * * [progress]: [ 292 / 471 ] simplifiying candidate # 183.197 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) 1)) 183.197 * * [simplify]: iters left: 6 (12 enodes) 183.206 * * [simplify]: iters left: 5 (49 enodes) 183.223 * * [simplify]: iters left: 4 (78 enodes) 183.249 * * [simplify]: iters left: 3 (121 enodes) 183.290 * * [simplify]: iters left: 2 (199 enodes) 183.338 * * [simplify]: iters left: 1 (364 enodes) 183.533 * * [simplify]: Extracting #0: cost 1 inf + 0 183.533 * * [simplify]: Extracting #1: cost 6 inf + 0 183.533 * * [simplify]: Extracting #2: cost 9 inf + 1 183.533 * * [simplify]: Extracting #3: cost 33 inf + 1 183.534 * * [simplify]: Extracting #4: cost 102 inf + 3 183.535 * * [simplify]: Extracting #5: cost 145 inf + 8 183.536 * * [simplify]: Extracting #6: cost 144 inf + 389 183.540 * * [simplify]: Extracting #7: cost 84 inf + 9788 183.550 * * [simplify]: Extracting #8: cost 32 inf + 31332 183.565 * * [simplify]: Extracting #9: cost 4 inf + 51719 183.581 * * [simplify]: Extracting #10: cost 0 inf + 54840 183.599 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 183.599 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 183.599 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 183.599 * * [simplify]: iters left: 6 (14 enodes) 183.607 * * [simplify]: iters left: 5 (58 enodes) 183.627 * * [simplify]: iters left: 4 (97 enodes) 183.663 * * [simplify]: iters left: 3 (160 enodes) 183.706 * * [simplify]: iters left: 2 (320 enodes) 183.819 * * [simplify]: Extracting #0: cost 1 inf + 0 183.819 * * [simplify]: Extracting #1: cost 50 inf + 0 183.820 * * [simplify]: Extracting #2: cost 152 inf + 0 183.821 * * [simplify]: Extracting #3: cost 210 inf + 44 183.822 * * [simplify]: Extracting #4: cost 217 inf + 3125 183.825 * * [simplify]: Extracting #5: cost 153 inf + 23333 183.836 * * [simplify]: Extracting #6: cost 31 inf + 118297 183.856 * * [simplify]: Extracting #7: cost 0 inf + 145177 183.872 * * [simplify]: Extracting #8: cost 0 inf + 145046 183.889 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 183.889 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 183.889 * * * * [progress]: [ 293 / 471 ] simplifiying candidate # 183.889 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 183.890 * * [simplify]: iters left: 6 (16 enodes) 183.895 * * [simplify]: iters left: 5 (69 enodes) 183.907 * * [simplify]: iters left: 4 (118 enodes) 183.928 * * [simplify]: iters left: 3 (228 enodes) 184.019 * * [simplify]: iters left: 2 (484 enodes) 184.284 * * [simplify]: Extracting #0: cost 1 inf + 0 184.284 * * [simplify]: Extracting #1: cost 104 inf + 0 184.285 * * [simplify]: Extracting #2: cost 309 inf + 1 184.287 * * [simplify]: Extracting #3: cost 373 inf + 3 184.289 * * [simplify]: Extracting #4: cost 400 inf + 98 184.297 * * [simplify]: Extracting #5: cost 314 inf + 33993 184.332 * * [simplify]: Extracting #6: cost 101 inf + 169048 184.397 * * [simplify]: Extracting #7: cost 6 inf + 253183 184.449 * * [simplify]: Extracting #8: cost 0 inf + 256196 184.487 * * [simplify]: Extracting #9: cost 0 inf + 255119 184.532 * * [simplify]: Extracting #10: cost 0 inf + 254857 184.584 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 184.584 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 184.585 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 184.585 * * [simplify]: iters left: 6 (15 enodes) 184.594 * * [simplify]: iters left: 5 (64 enodes) 184.613 * * [simplify]: iters left: 4 (107 enodes) 184.632 * * [simplify]: iters left: 3 (188 enodes) 184.693 * * [simplify]: iters left: 2 (383 enodes) 184.863 * * [simplify]: Extracting #0: cost 1 inf + 0 184.863 * * [simplify]: Extracting #1: cost 48 inf + 0 184.864 * * [simplify]: Extracting #2: cost 155 inf + 0 184.865 * * [simplify]: Extracting #3: cost 224 inf + 44 184.868 * * [simplify]: Extracting #4: cost 227 inf + 2964 184.876 * * [simplify]: Extracting #5: cost 144 inf + 35013 184.899 * * [simplify]: Extracting #6: cost 43 inf + 100407 184.933 * * [simplify]: Extracting #7: cost 0 inf + 143352 184.968 * * [simplify]: Extracting #8: cost 0 inf + 143221 185.003 * [simplify]: Simplified to (/ (cbrt (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 185.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 185.003 * * * * [progress]: [ 294 / 471 ] simplifiying candidate # 185.003 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 185.004 * * [simplify]: iters left: 6 (14 enodes) 185.014 * * [simplify]: iters left: 5 (59 enodes) 185.035 * * [simplify]: iters left: 4 (106 enodes) 185.062 * * [simplify]: iters left: 3 (191 enodes) 185.112 * * [simplify]: iters left: 2 (432 enodes) 185.291 * * [simplify]: Extracting #0: cost 1 inf + 0 185.291 * * [simplify]: Extracting #1: cost 80 inf + 0 185.295 * * [simplify]: Extracting #2: cost 276 inf + 0 185.296 * * [simplify]: Extracting #3: cost 348 inf + 3 185.299 * * [simplify]: Extracting #4: cost 340 inf + 8803 185.303 * * [simplify]: Extracting #5: cost 277 inf + 36963 185.332 * * [simplify]: Extracting #6: cost 119 inf + 165521 185.370 * * [simplify]: Extracting #7: cost 17 inf + 253977 185.419 * * [simplify]: Extracting #8: cost 0 inf + 263749 185.459 * * [simplify]: Extracting #9: cost 0 inf + 261653 185.519 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 185.519 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 185.520 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 185.520 * * [simplify]: iters left: 6 (14 enodes) 185.528 * * [simplify]: iters left: 5 (57 enodes) 185.547 * * [simplify]: iters left: 4 (96 enodes) 185.568 * * [simplify]: iters left: 3 (159 enodes) 185.608 * * [simplify]: iters left: 2 (319 enodes) 185.707 * * [simplify]: Extracting #0: cost 1 inf + 0 185.707 * * [simplify]: Extracting #1: cost 49 inf + 0 185.708 * * [simplify]: Extracting #2: cost 151 inf + 0 185.708 * * [simplify]: Extracting #3: cost 210 inf + 3 185.711 * * [simplify]: Extracting #4: cost 204 inf + 7068 185.723 * * [simplify]: Extracting #5: cost 72 inf + 82254 185.738 * * [simplify]: Extracting #6: cost 3 inf + 138692 185.764 * * [simplify]: Extracting #7: cost 0 inf + 141044 185.796 * * [simplify]: Extracting #8: cost 0 inf + 140651 185.813 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 185.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 185.814 * * * * [progress]: [ 295 / 471 ] simplifiying candidate # 185.814 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 185.814 * * [simplify]: iters left: 6 (18 enodes) 185.819 * * [simplify]: iters left: 5 (74 enodes) 185.831 * * [simplify]: iters left: 4 (121 enodes) 185.855 * * [simplify]: iters left: 3 (207 enodes) 185.930 * * [simplify]: iters left: 2 (373 enodes) 186.017 * * [simplify]: Extracting #0: cost 1 inf + 0 186.017 * * [simplify]: Extracting #1: cost 28 inf + 0 186.017 * * [simplify]: Extracting #2: cost 51 inf + 0 186.018 * * [simplify]: Extracting #3: cost 74 inf + 0 186.018 * * [simplify]: Extracting #4: cost 136 inf + 85 186.019 * * [simplify]: Extracting #5: cost 154 inf + 2210 186.021 * * [simplify]: Extracting #6: cost 100 inf + 19135 186.028 * * [simplify]: Extracting #7: cost 21 inf + 58102 186.040 * * [simplify]: Extracting #8: cost 1 inf + 71676 186.061 * * [simplify]: Extracting #9: cost 0 inf + 71648 186.080 * * [simplify]: Extracting #10: cost 0 inf + 71404 186.100 * [simplify]: Simplified to (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 186.100 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 186.100 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.101 * * [simplify]: iters left: 6 (16 enodes) 186.105 * * [simplify]: iters left: 5 (64 enodes) 186.116 * * [simplify]: iters left: 4 (99 enodes) 186.134 * * [simplify]: iters left: 3 (145 enodes) 186.167 * * [simplify]: iters left: 2 (239 enodes) 186.264 * * [simplify]: iters left: 1 (465 enodes) 186.491 * * [simplify]: Extracting #0: cost 1 inf + 0 186.491 * * [simplify]: Extracting #1: cost 8 inf + 0 186.491 * * [simplify]: Extracting #2: cost 17 inf + 0 186.491 * * [simplify]: Extracting #3: cost 63 inf + 0 186.491 * * [simplify]: Extracting #4: cost 165 inf + 125 186.492 * * [simplify]: Extracting #5: cost 192 inf + 2003 186.496 * * [simplify]: Extracting #6: cost 122 inf + 22710 186.508 * * [simplify]: Extracting #7: cost 39 inf + 68192 186.534 * * [simplify]: Extracting #8: cost 5 inf + 95880 186.548 * * [simplify]: Extracting #9: cost 0 inf + 99975 186.576 * * [simplify]: Extracting #10: cost 0 inf + 99382 186.591 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.591 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 186.591 * * * * [progress]: [ 296 / 471 ] simplifiying candidate # 186.591 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.591 * * [simplify]: iters left: 6 (17 enodes) 186.596 * * [simplify]: iters left: 5 (69 enodes) 186.607 * * [simplify]: iters left: 4 (109 enodes) 186.637 * * [simplify]: iters left: 3 (175 enodes) 186.688 * * [simplify]: iters left: 2 (302 enodes) 186.783 * * [simplify]: Extracting #0: cost 1 inf + 0 186.783 * * [simplify]: Extracting #1: cost 16 inf + 0 186.783 * * [simplify]: Extracting #2: cost 33 inf + 0 186.783 * * [simplify]: Extracting #3: cost 60 inf + 0 186.784 * * [simplify]: Extracting #4: cost 129 inf + 44 186.785 * * [simplify]: Extracting #5: cost 131 inf + 2457 186.790 * * [simplify]: Extracting #6: cost 77 inf + 16580 186.796 * * [simplify]: Extracting #7: cost 23 inf + 41480 186.803 * * [simplify]: Extracting #8: cost 3 inf + 53255 186.810 * * [simplify]: Extracting #9: cost 0 inf + 55462 186.817 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) 186.817 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 186.817 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 186.817 * * [simplify]: iters left: 6 (16 enodes) 186.822 * * [simplify]: iters left: 5 (64 enodes) 186.833 * * [simplify]: iters left: 4 (100 enodes) 186.849 * * [simplify]: iters left: 3 (146 enodes) 186.902 * * [simplify]: iters left: 2 (240 enodes) 186.978 * * [simplify]: iters left: 1 (470 enodes) 187.161 * * [simplify]: Extracting #0: cost 1 inf + 0 187.161 * * [simplify]: Extracting #1: cost 8 inf + 0 187.161 * * [simplify]: Extracting #2: cost 18 inf + 0 187.162 * * [simplify]: Extracting #3: cost 66 inf + 0 187.163 * * [simplify]: Extracting #4: cost 186 inf + 44 187.165 * * [simplify]: Extracting #5: cost 203 inf + 1467 187.172 * * [simplify]: Extracting #6: cost 126 inf + 24870 187.195 * * [simplify]: Extracting #7: cost 27 inf + 89423 187.225 * * [simplify]: Extracting #8: cost 0 inf + 108783 187.257 * * [simplify]: Extracting #9: cost 0 inf + 105995 187.276 * * [simplify]: Extracting #10: cost 0 inf + 102896 187.295 * * [simplify]: Extracting #11: cost 0 inf + 102714 187.312 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 187.312 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 187.312 * * * * [progress]: [ 297 / 471 ] simplifiying candidate # 187.312 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) 1)) 187.312 * * [simplify]: iters left: 6 (13 enodes) 187.317 * * [simplify]: iters left: 5 (52 enodes) 187.330 * * [simplify]: iters left: 4 (83 enodes) 187.354 * * [simplify]: iters left: 3 (125 enodes) 187.374 * * [simplify]: iters left: 2 (200 enodes) 187.422 * * [simplify]: iters left: 1 (356 enodes) 187.539 * * [simplify]: Extracting #0: cost 1 inf + 0 187.539 * * [simplify]: Extracting #1: cost 9 inf + 0 187.539 * * [simplify]: Extracting #2: cost 16 inf + 1 187.539 * * [simplify]: Extracting #3: cost 42 inf + 1 187.540 * * [simplify]: Extracting #4: cost 106 inf + 45 187.541 * * [simplify]: Extracting #5: cost 131 inf + 3597 187.550 * * [simplify]: Extracting #6: cost 60 inf + 29049 187.570 * * [simplify]: Extracting #7: cost 0 inf + 51531 187.597 * * [simplify]: Extracting #8: cost 0 inf + 49389 187.608 * * [simplify]: Extracting #9: cost 0 inf + 49349 187.620 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 187.620 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 187.620 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 187.620 * * [simplify]: iters left: 6 (15 enodes) 187.624 * * [simplify]: iters left: 5 (61 enodes) 187.639 * * [simplify]: iters left: 4 (100 enodes) 187.655 * * [simplify]: iters left: 3 (167 enodes) 187.706 * * [simplify]: iters left: 2 (333 enodes) 187.796 * * [simplify]: Extracting #0: cost 1 inf + 0 187.797 * * [simplify]: Extracting #1: cost 52 inf + 0 187.798 * * [simplify]: Extracting #2: cost 155 inf + 0 187.799 * * [simplify]: Extracting #3: cost 214 inf + 2 187.801 * * [simplify]: Extracting #4: cost 222 inf + 3880 187.808 * * [simplify]: Extracting #5: cost 148 inf + 30743 187.828 * * [simplify]: Extracting #6: cost 22 inf + 127982 187.845 * * [simplify]: Extracting #7: cost 1 inf + 145687 187.870 * * [simplify]: Extracting #8: cost 0 inf + 146671 187.908 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) 187.908 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (sqrt k))))) 187.909 * * * * [progress]: [ 298 / 471 ] simplifiying candidate # 187.909 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 187.909 * * [simplify]: iters left: 6 (17 enodes) 187.919 * * [simplify]: iters left: 5 (72 enodes) 187.943 * * [simplify]: iters left: 4 (120 enodes) 187.985 * * [simplify]: iters left: 3 (222 enodes) 188.047 * * [simplify]: Extracting #0: cost 1 inf + 0 188.047 * * [simplify]: Extracting #1: cost 31 inf + 0 188.048 * * [simplify]: Extracting #2: cost 97 inf + 0 188.048 * * [simplify]: Extracting #3: cost 142 inf + 1 188.049 * * [simplify]: Extracting #4: cost 150 inf + 1385 188.054 * * [simplify]: Extracting #5: cost 87 inf + 17544 188.062 * * [simplify]: Extracting #6: cost 17 inf + 57022 188.071 * * [simplify]: Extracting #7: cost 0 inf + 72312 188.080 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) 188.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* PI 2) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (sqrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 188.080 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 188.081 * * [simplify]: iters left: 6 (16 enodes) 188.085 * * [simplify]: iters left: 5 (67 enodes) 188.098 * * [simplify]: iters left: 4 (110 enodes) 188.140 * * [simplify]: iters left: 3 (191 enodes) 188.182 * * [simplify]: iters left: 2 (385 enodes) 188.302 * * [simplify]: Extracting #0: cost 1 inf + 0 188.302 * * [simplify]: Extracting #1: cost 47 inf + 0 188.303 * * [simplify]: Extracting #2: cost 153 inf + 0 188.305 * * [simplify]: Extracting #3: cost 228 inf + 2 188.308 * * [simplify]: Extracting #4: cost 222 inf + 7079 188.324 * * [simplify]: Extracting #5: cost 127 inf + 49124 188.345 * * [simplify]: Extracting #6: cost 18 inf + 131456 188.363 * * [simplify]: Extracting #7: cost 0 inf + 148753 188.397 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 188.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 188.397 * * * * [progress]: [ 299 / 471 ] simplifiying candidate # 188.398 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 188.398 * * [simplify]: iters left: 6 (12 enodes) 188.405 * * [simplify]: iters left: 5 (53 enodes) 188.423 * * [simplify]: iters left: 4 (92 enodes) 188.460 * * [simplify]: iters left: 3 (189 enodes) 188.521 * * [simplify]: iters left: 2 (439 enodes) 188.759 * * [simplify]: Extracting #0: cost 1 inf + 0 188.759 * * [simplify]: Extracting #1: cost 93 inf + 0 188.760 * * [simplify]: Extracting #2: cost 287 inf + 1 188.761 * * [simplify]: Extracting #3: cost 339 inf + 4 188.763 * * [simplify]: Extracting #4: cost 369 inf + 11 188.765 * * [simplify]: Extracting #5: cost 301 inf + 19371 188.779 * * [simplify]: Extracting #6: cost 120 inf + 130299 188.836 * * [simplify]: Extracting #7: cost 3 inf + 213704 188.866 * * [simplify]: Extracting #8: cost 0 inf + 213030 188.899 * * [simplify]: Extracting #9: cost 0 inf + 212526 188.941 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 188.941 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 188.941 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 188.942 * * [simplify]: iters left: 6 (13 enodes) 188.946 * * [simplify]: iters left: 5 (54 enodes) 188.956 * * [simplify]: iters left: 4 (93 enodes) 188.987 * * [simplify]: iters left: 3 (160 enodes) 189.028 * * [simplify]: iters left: 2 (322 enodes) 189.135 * * [simplify]: Extracting #0: cost 1 inf + 0 189.135 * * [simplify]: Extracting #1: cost 52 inf + 0 189.136 * * [simplify]: Extracting #2: cost 150 inf + 0 189.137 * * [simplify]: Extracting #3: cost 203 inf + 45 189.141 * * [simplify]: Extracting #4: cost 188 inf + 9769 189.156 * * [simplify]: Extracting #5: cost 68 inf + 76755 189.171 * * [simplify]: Extracting #6: cost 1 inf + 126582 189.187 * * [simplify]: Extracting #7: cost 0 inf + 125129 189.203 * * [simplify]: Extracting #8: cost 0 inf + 125049 189.232 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 189.232 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 189.232 * * * * [progress]: [ 300 / 471 ] simplifiying candidate # 189.232 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 189.233 * * [simplify]: iters left: 6 (16 enodes) 189.242 * * [simplify]: iters left: 5 (68 enodes) 189.266 * * [simplify]: iters left: 4 (115 enodes) 189.286 * * [simplify]: iters left: 3 (210 enodes) 189.353 * * [simplify]: iters left: 2 (355 enodes) 189.432 * * [simplify]: Extracting #0: cost 1 inf + 0 189.432 * * [simplify]: Extracting #1: cost 25 inf + 0 189.433 * * [simplify]: Extracting #2: cost 50 inf + 1 189.433 * * [simplify]: Extracting #3: cost 72 inf + 1 189.434 * * [simplify]: Extracting #4: cost 138 inf + 3 189.435 * * [simplify]: Extracting #5: cost 171 inf + 7 189.437 * * [simplify]: Extracting #6: cost 156 inf + 1924 189.442 * * [simplify]: Extracting #7: cost 94 inf + 19027 189.457 * * [simplify]: Extracting #8: cost 17 inf + 62111 189.478 * * [simplify]: Extracting #9: cost 1 inf + 73130 189.493 * * [simplify]: Extracting #10: cost 0 inf + 73500 189.504 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 189.504 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 189.504 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 189.504 * * [simplify]: iters left: 6 (15 enodes) 189.508 * * [simplify]: iters left: 5 (61 enodes) 189.520 * * [simplify]: iters left: 4 (96 enodes) 189.552 * * [simplify]: iters left: 3 (146 enodes) 189.604 * * [simplify]: iters left: 2 (245 enodes) 189.693 * * [simplify]: iters left: 1 (471 enodes) 189.888 * * [simplify]: Extracting #0: cost 1 inf + 0 189.888 * * [simplify]: Extracting #1: cost 8 inf + 0 189.888 * * [simplify]: Extracting #2: cost 17 inf + 0 189.888 * * [simplify]: Extracting #3: cost 60 inf + 83 189.890 * * [simplify]: Extracting #4: cost 167 inf + 85 189.892 * * [simplify]: Extracting #5: cost 205 inf + 383 189.895 * * [simplify]: Extracting #6: cost 158 inf + 7674 189.907 * * [simplify]: Extracting #7: cost 70 inf + 49821 189.931 * * [simplify]: Extracting #8: cost 3 inf + 98467 189.956 * * [simplify]: Extracting #9: cost 0 inf + 100515 189.973 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 189.973 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 189.973 * * * * [progress]: [ 301 / 471 ] simplifiying candidate # 189.974 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 189.974 * * [simplify]: iters left: 6 (15 enodes) 189.978 * * [simplify]: iters left: 5 (63 enodes) 189.993 * * [simplify]: iters left: 4 (103 enodes) 190.010 * * [simplify]: iters left: 3 (172 enodes) 190.055 * * [simplify]: iters left: 2 (279 enodes) 190.136 * * [simplify]: Extracting #0: cost 1 inf + 0 190.136 * * [simplify]: Extracting #1: cost 15 inf + 0 190.136 * * [simplify]: Extracting #2: cost 30 inf + 1 190.136 * * [simplify]: Extracting #3: cost 56 inf + 1 190.137 * * [simplify]: Extracting #4: cost 123 inf + 3 190.137 * * [simplify]: Extracting #5: cost 146 inf + 9 190.138 * * [simplify]: Extracting #6: cost 120 inf + 4045 190.141 * * [simplify]: Extracting #7: cost 59 inf + 21617 190.146 * * [simplify]: Extracting #8: cost 24 inf + 39177 190.152 * * [simplify]: Extracting #9: cost 0 inf + 55173 190.160 * * [simplify]: Extracting #10: cost 0 inf + 55042 190.169 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 190.169 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 190.169 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 190.169 * * [simplify]: iters left: 6 (15 enodes) 190.178 * * [simplify]: iters left: 5 (61 enodes) 190.202 * * [simplify]: iters left: 4 (97 enodes) 190.223 * * [simplify]: iters left: 3 (147 enodes) 190.254 * * [simplify]: iters left: 2 (246 enodes) 190.326 * * [simplify]: iters left: 1 (462 enodes) 190.504 * * [simplify]: Extracting #0: cost 1 inf + 0 190.504 * * [simplify]: Extracting #1: cost 8 inf + 0 190.504 * * [simplify]: Extracting #2: cost 18 inf + 0 190.504 * * [simplify]: Extracting #3: cost 64 inf + 83 190.505 * * [simplify]: Extracting #4: cost 182 inf + 85 190.508 * * [simplify]: Extracting #5: cost 189 inf + 2753 190.516 * * [simplify]: Extracting #6: cost 99 inf + 37066 190.542 * * [simplify]: Extracting #7: cost 7 inf + 102997 190.572 * * [simplify]: Extracting #8: cost 0 inf + 106424 190.604 * * [simplify]: Extracting #9: cost 0 inf + 103918 190.620 * * [simplify]: Extracting #10: cost 0 inf + 101054 190.636 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 190.636 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 190.636 * * * * [progress]: [ 302 / 471 ] simplifiying candidate # 190.636 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 1)) 190.636 * * [simplify]: iters left: 6 (11 enodes) 190.643 * * [simplify]: iters left: 5 (44 enodes) 190.659 * * [simplify]: iters left: 4 (73 enodes) 190.683 * * [simplify]: iters left: 3 (112 enodes) 190.722 * * [simplify]: iters left: 2 (186 enodes) 190.792 * * [simplify]: iters left: 1 (349 enodes) 190.931 * * [simplify]: Extracting #0: cost 1 inf + 0 190.932 * * [simplify]: Extracting #1: cost 5 inf + 0 190.932 * * [simplify]: Extracting #2: cost 7 inf + 1 190.932 * * [simplify]: Extracting #3: cost 32 inf + 1 190.932 * * [simplify]: Extracting #4: cost 97 inf + 3 190.933 * * [simplify]: Extracting #5: cost 141 inf + 8 190.935 * * [simplify]: Extracting #6: cost 135 inf + 514 190.939 * * [simplify]: Extracting #7: cost 63 inf + 14325 190.950 * * [simplify]: Extracting #8: cost 15 inf + 40763 190.967 * * [simplify]: Extracting #9: cost 0 inf + 50772 190.983 * * [simplify]: Extracting #10: cost 0 inf + 50162 190.998 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 190.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 190.998 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 190.998 * * [simplify]: iters left: 6 (14 enodes) 191.002 * * [simplify]: iters left: 5 (58 enodes) 191.013 * * [simplify]: iters left: 4 (97 enodes) 191.032 * * [simplify]: iters left: 3 (160 enodes) 191.078 * * [simplify]: iters left: 2 (320 enodes) 191.222 * * [simplify]: Extracting #0: cost 1 inf + 0 191.222 * * [simplify]: Extracting #1: cost 50 inf + 0 191.223 * * [simplify]: Extracting #2: cost 152 inf + 0 191.225 * * [simplify]: Extracting #3: cost 210 inf + 44 191.227 * * [simplify]: Extracting #4: cost 217 inf + 3125 191.233 * * [simplify]: Extracting #5: cost 153 inf + 23333 191.256 * * [simplify]: Extracting #6: cost 31 inf + 118297 191.287 * * [simplify]: Extracting #7: cost 0 inf + 145177 191.307 * * [simplify]: Extracting #8: cost 0 inf + 145046 191.325 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 191.325 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 191.325 * * * * [progress]: [ 303 / 471 ] simplifiying candidate # 191.325 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 191.326 * * [simplify]: iters left: 6 (15 enodes) 191.330 * * [simplify]: iters left: 5 (66 enodes) 191.341 * * [simplify]: iters left: 4 (113 enodes) 191.377 * * [simplify]: iters left: 3 (223 enodes) 191.447 * * [simplify]: iters left: 2 (481 enodes) 191.663 * * [simplify]: Extracting #0: cost 1 inf + 0 191.663 * * [simplify]: Extracting #1: cost 94 inf + 0 191.664 * * [simplify]: Extracting #2: cost 277 inf + 1 191.667 * * [simplify]: Extracting #3: cost 344 inf + 3 191.670 * * [simplify]: Extracting #4: cost 377 inf + 14 191.678 * * [simplify]: Extracting #5: cost 263 inf + 44588 191.697 * * [simplify]: Extracting #6: cost 80 inf + 166631 191.744 * * [simplify]: Extracting #7: cost 6 inf + 228873 191.791 * * [simplify]: Extracting #8: cost 0 inf + 233778 191.833 * * [simplify]: Extracting #9: cost 0 inf + 233738 191.865 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) 191.865 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (- 1 k) 8)) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 191.865 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 191.865 * * [simplify]: iters left: 6 (15 enodes) 191.871 * * [simplify]: iters left: 5 (64 enodes) 191.894 * * [simplify]: iters left: 4 (107 enodes) 191.927 * * [simplify]: iters left: 3 (188 enodes) 191.967 * * [simplify]: iters left: 2 (383 enodes) 192.102 * * [simplify]: Extracting #0: cost 1 inf + 0 192.102 * * [simplify]: Extracting #1: cost 48 inf + 0 192.103 * * [simplify]: Extracting #2: cost 155 inf + 0 192.104 * * [simplify]: Extracting #3: cost 224 inf + 44 192.105 * * [simplify]: Extracting #4: cost 227 inf + 2964 192.110 * * [simplify]: Extracting #5: cost 144 inf + 35013 192.133 * * [simplify]: Extracting #6: cost 43 inf + 100407 192.152 * * [simplify]: Extracting #7: cost 0 inf + 143352 192.170 * * [simplify]: Extracting #8: cost 0 inf + 143221 192.206 * [simplify]: Simplified to (/ (cbrt (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 192.206 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (pow n (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 192.206 * * * * [progress]: [ 304 / 471 ] simplifiying candidate # 192.207 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1) 192.207 * * [simplify]: iters left: 6 (10 enodes) 192.214 * * [simplify]: iters left: 5 (41 enodes) 192.229 * * [simplify]: iters left: 4 (74 enodes) 192.252 * * [simplify]: iters left: 3 (110 enodes) 192.271 * * [simplify]: iters left: 2 (183 enodes) 192.308 * * [simplify]: iters left: 1 (335 enodes) 192.419 * * [simplify]: Extracting #0: cost 1 inf + 0 192.419 * * [simplify]: Extracting #1: cost 5 inf + 0 192.420 * * [simplify]: Extracting #2: cost 7 inf + 1 192.420 * * [simplify]: Extracting #3: cost 28 inf + 1 192.420 * * [simplify]: Extracting #4: cost 89 inf + 3 192.421 * * [simplify]: Extracting #5: cost 129 inf + 8 192.422 * * [simplify]: Extracting #6: cost 122 inf + 680 192.427 * * [simplify]: Extracting #7: cost 54 inf + 16068 192.439 * * [simplify]: Extracting #8: cost 8 inf + 41702 192.452 * * [simplify]: Extracting #9: cost 0 inf + 48090 192.469 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 192.469 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 192.470 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 192.470 * * [simplify]: iters left: 6 (14 enodes) 192.478 * * [simplify]: iters left: 5 (58 enodes) 192.498 * * [simplify]: iters left: 4 (97 enodes) 192.529 * * [simplify]: iters left: 3 (160 enodes) 192.591 * * [simplify]: iters left: 2 (320 enodes) 192.727 * * [simplify]: Extracting #0: cost 1 inf + 0 192.727 * * [simplify]: Extracting #1: cost 50 inf + 0 192.728 * * [simplify]: Extracting #2: cost 152 inf + 0 192.731 * * [simplify]: Extracting #3: cost 210 inf + 44 192.733 * * [simplify]: Extracting #4: cost 217 inf + 3125 192.736 * * [simplify]: Extracting #5: cost 153 inf + 23333 192.748 * * [simplify]: Extracting #6: cost 31 inf + 118297 192.780 * * [simplify]: Extracting #7: cost 0 inf + 145177 192.813 * * [simplify]: Extracting #8: cost 0 inf + 145046 192.830 * [simplify]: Simplified to (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))) 192.830 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) (cbrt (pow n (/ (- 1 k) 2)))))) 192.830 * * * * [progress]: [ 305 / 471 ] simplifiying candidate # 192.830 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 192.830 * * [simplify]: iters left: 6 (11 enodes) 192.834 * * [simplify]: iters left: 5 (46 enodes) 192.843 * * [simplify]: iters left: 4 (75 enodes) 192.858 * * [simplify]: iters left: 3 (113 enodes) 192.877 * * [simplify]: iters left: 2 (186 enodes) 192.913 * * [simplify]: iters left: 1 (339 enodes) 193.025 * * [simplify]: Extracting #0: cost 1 inf + 0 193.025 * * [simplify]: Extracting #1: cost 7 inf + 0 193.025 * * [simplify]: Extracting #2: cost 14 inf + 0 193.025 * * [simplify]: Extracting #3: cost 33 inf + 83 193.026 * * [simplify]: Extracting #4: cost 97 inf + 85 193.027 * * [simplify]: Extracting #5: cost 130 inf + 215 193.030 * * [simplify]: Extracting #6: cost 86 inf + 6013 193.035 * * [simplify]: Extracting #7: cost 48 inf + 17859 193.047 * * [simplify]: Extracting #8: cost 11 inf + 43750 193.061 * * [simplify]: Extracting #9: cost 0 inf + 52314 193.077 * * [simplify]: Extracting #10: cost 0 inf + 51479 193.091 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 193.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 193.092 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 193.092 * * [simplify]: iters left: 6 (13 enodes) 193.100 * * [simplify]: iters left: 5 (55 enodes) 193.122 * * [simplify]: iters left: 4 (90 enodes) 193.137 * * [simplify]: iters left: 3 (152 enodes) 193.179 * * [simplify]: iters left: 2 (294 enodes) 193.315 * * [simplify]: Extracting #0: cost 1 inf + 0 193.315 * * [simplify]: Extracting #1: cost 52 inf + 0 193.316 * * [simplify]: Extracting #2: cost 134 inf + 1 193.317 * * [simplify]: Extracting #3: cost 178 inf + 3 193.319 * * [simplify]: Extracting #4: cost 205 inf + 54 193.322 * * [simplify]: Extracting #5: cost 167 inf + 8260 193.333 * * [simplify]: Extracting #6: cost 90 inf + 42043 193.358 * * [simplify]: Extracting #7: cost 2 inf + 111081 193.383 * * [simplify]: Extracting #8: cost 0 inf + 111396 193.396 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) 193.397 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 193.397 * * * * [progress]: [ 306 / 471 ] simplifiying candidate # 193.397 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 193.397 * * [simplify]: iters left: 6 (16 enodes) 193.403 * * [simplify]: iters left: 5 (67 enodes) 193.429 * * [simplify]: iters left: 4 (124 enodes) 193.475 * * [simplify]: iters left: 3 (239 enodes) 193.545 * * [simplify]: iters left: 2 (478 enodes) 193.786 * * [simplify]: Extracting #0: cost 1 inf + 0 193.786 * * [simplify]: Extracting #1: cost 62 inf + 0 193.787 * * [simplify]: Extracting #2: cost 198 inf + 0 193.789 * * [simplify]: Extracting #3: cost 209 inf + 90 193.791 * * [simplify]: Extracting #4: cost 235 inf + 1051 193.797 * * [simplify]: Extracting #5: cost 203 inf + 27290 193.826 * * [simplify]: Extracting #6: cost 40 inf + 141314 193.872 * * [simplify]: Extracting #7: cost 0 inf + 169718 193.913 * * [simplify]: Extracting #8: cost 0 inf + 169078 193.955 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) 193.955 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))))) 193.956 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))) 193.956 * * [simplify]: iters left: 6 (13 enodes) 193.963 * * [simplify]: iters left: 5 (53 enodes) 193.973 * * [simplify]: iters left: 4 (84 enodes) 193.990 * * [simplify]: iters left: 3 (149 enodes) 194.038 * * [simplify]: iters left: 2 (299 enodes) 194.135 * * [simplify]: Extracting #0: cost 1 inf + 0 194.135 * * [simplify]: Extracting #1: cost 6 inf + 0 194.135 * * [simplify]: Extracting #2: cost 28 inf + 0 194.136 * * [simplify]: Extracting #3: cost 90 inf + 1 194.137 * * [simplify]: Extracting #4: cost 130 inf + 303 194.139 * * [simplify]: Extracting #5: cost 114 inf + 8442 194.148 * * [simplify]: Extracting #6: cost 35 inf + 40716 194.160 * * [simplify]: Extracting #7: cost 4 inf + 50990 194.172 * * [simplify]: Extracting #8: cost 0 inf + 52937 194.185 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))) 194.185 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))))) 194.186 * * * * [progress]: [ 307 / 471 ] simplifiying candidate # 194.187 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 194.187 * * [simplify]: iters left: 6 (16 enodes) 194.195 * * [simplify]: iters left: 5 (64 enodes) 194.217 * * [simplify]: iters left: 4 (99 enodes) 194.252 * * [simplify]: iters left: 3 (145 enodes) 194.284 * * [simplify]: iters left: 2 (245 enodes) 194.349 * * [simplify]: iters left: 1 (482 enodes) 194.549 * * [simplify]: Extracting #0: cost 1 inf + 0 194.549 * * [simplify]: Extracting #1: cost 6 inf + 0 194.549 * * [simplify]: Extracting #2: cost 13 inf + 0 194.549 * * [simplify]: Extracting #3: cost 41 inf + 0 194.550 * * [simplify]: Extracting #4: cost 139 inf + 2 194.551 * * [simplify]: Extracting #5: cost 210 inf + 1012 194.553 * * [simplify]: Extracting #6: cost 162 inf + 11868 194.565 * * [simplify]: Extracting #7: cost 67 inf + 60734 194.593 * * [simplify]: Extracting #8: cost 2 inf + 109794 194.614 * * [simplify]: Extracting #9: cost 0 inf + 108927 194.629 * [simplify]: Simplified to (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 194.629 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 194.629 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 194.630 * * [simplify]: iters left: 6 (15 enodes) 194.634 * * [simplify]: iters left: 5 (59 enodes) 194.648 * * [simplify]: iters left: 4 (92 enodes) 194.674 * * [simplify]: iters left: 3 (142 enodes) 194.700 * * [simplify]: iters left: 2 (243 enodes) 194.772 * * [simplify]: iters left: 1 (473 enodes) 195.334 * * [simplify]: Extracting #0: cost 1 inf + 0 195.334 * * [simplify]: Extracting #1: cost 4 inf + 0 195.335 * * [simplify]: Extracting #2: cost 9 inf + 0 195.335 * * [simplify]: Extracting #3: cost 38 inf + 0 195.336 * * [simplify]: Extracting #4: cost 137 inf + 2 195.337 * * [simplify]: Extracting #5: cost 216 inf + 259 195.342 * * [simplify]: Extracting #6: cost 171 inf + 10919 195.359 * * [simplify]: Extracting #7: cost 63 inf + 68586 195.392 * * [simplify]: Extracting #8: cost 2 inf + 115198 195.428 * * [simplify]: Extracting #9: cost 0 inf + 113748 195.444 * * [simplify]: Extracting #10: cost 0 inf + 111335 195.461 * * [simplify]: Extracting #11: cost 0 inf + 111295 195.478 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 195.478 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 195.478 * * * * [progress]: [ 308 / 471 ] simplifiying candidate # 195.479 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 195.479 * * [simplify]: iters left: 6 (15 enodes) 195.483 * * [simplify]: iters left: 5 (59 enodes) 195.501 * * [simplify]: iters left: 4 (92 enodes) 195.532 * * [simplify]: iters left: 3 (142 enodes) 195.580 * * [simplify]: iters left: 2 (243 enodes) 195.676 * * [simplify]: iters left: 1 (473 enodes) 195.891 * * [simplify]: Extracting #0: cost 1 inf + 0 195.892 * * [simplify]: Extracting #1: cost 4 inf + 0 195.892 * * [simplify]: Extracting #2: cost 9 inf + 0 195.892 * * [simplify]: Extracting #3: cost 38 inf + 0 195.892 * * [simplify]: Extracting #4: cost 137 inf + 2 195.893 * * [simplify]: Extracting #5: cost 216 inf + 259 195.895 * * [simplify]: Extracting #6: cost 171 inf + 10839 195.904 * * [simplify]: Extracting #7: cost 63 inf + 68426 195.931 * * [simplify]: Extracting #8: cost 2 inf + 115038 195.951 * * [simplify]: Extracting #9: cost 0 inf + 113588 195.968 * * [simplify]: Extracting #10: cost 0 inf + 111175 195.987 * * [simplify]: Extracting #11: cost 0 inf + 111135 196.015 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 196.015 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 196.015 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 196.015 * * [simplify]: iters left: 6 (15 enodes) 196.022 * * [simplify]: iters left: 5 (59 enodes) 196.033 * * [simplify]: iters left: 4 (92 enodes) 196.048 * * [simplify]: iters left: 3 (142 enodes) 196.088 * * [simplify]: iters left: 2 (243 enodes) 196.138 * * [simplify]: iters left: 1 (473 enodes) 196.341 * * [simplify]: Extracting #0: cost 1 inf + 0 196.341 * * [simplify]: Extracting #1: cost 4 inf + 0 196.341 * * [simplify]: Extracting #2: cost 9 inf + 0 196.341 * * [simplify]: Extracting #3: cost 38 inf + 0 196.341 * * [simplify]: Extracting #4: cost 137 inf + 2 196.342 * * [simplify]: Extracting #5: cost 216 inf + 259 196.344 * * [simplify]: Extracting #6: cost 171 inf + 10839 196.356 * * [simplify]: Extracting #7: cost 63 inf + 68426 196.373 * * [simplify]: Extracting #8: cost 2 inf + 115038 196.405 * * [simplify]: Extracting #9: cost 0 inf + 113588 196.422 * * [simplify]: Extracting #10: cost 0 inf + 111175 196.453 * * [simplify]: Extracting #11: cost 0 inf + 111135 196.487 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 196.487 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 196.488 * * * * [progress]: [ 309 / 471 ] simplifiying candidate # 196.488 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 196.488 * * [simplify]: iters left: 6 (14 enodes) 196.496 * * [simplify]: iters left: 5 (59 enodes) 196.517 * * [simplify]: iters left: 4 (109 enodes) 196.554 * * [simplify]: iters left: 3 (209 enodes) 196.619 * * [simplify]: iters left: 2 (472 enodes) 196.826 * * [simplify]: Extracting #0: cost 1 inf + 0 196.827 * * [simplify]: Extracting #1: cost 84 inf + 0 196.828 * * [simplify]: Extracting #2: cost 293 inf + 0 196.829 * * [simplify]: Extracting #3: cost 392 inf + 3 196.832 * * [simplify]: Extracting #4: cost 377 inf + 12067 196.837 * * [simplify]: Extracting #5: cost 312 inf + 33081 196.857 * * [simplify]: Extracting #6: cost 101 inf + 197466 196.923 * * [simplify]: Extracting #7: cost 0 inf + 290469 196.978 * * [simplify]: Extracting #8: cost 0 inf + 287805 197.027 * * [simplify]: Extracting #9: cost 0 inf + 287355 197.091 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 197.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 197.091 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 197.092 * * [simplify]: iters left: 6 (14 enodes) 197.096 * * [simplify]: iters left: 5 (57 enodes) 197.106 * * [simplify]: iters left: 4 (97 enodes) 197.122 * * [simplify]: iters left: 3 (160 enodes) 197.165 * * [simplify]: iters left: 2 (320 enodes) 197.261 * * [simplify]: Extracting #0: cost 1 inf + 0 197.261 * * [simplify]: Extracting #1: cost 50 inf + 0 197.262 * * [simplify]: Extracting #2: cost 153 inf + 0 197.262 * * [simplify]: Extracting #3: cost 215 inf + 3 197.264 * * [simplify]: Extracting #4: cost 221 inf + 2510 197.266 * * [simplify]: Extracting #5: cost 152 inf + 22300 197.288 * * [simplify]: Extracting #6: cost 30 inf + 116681 197.318 * * [simplify]: Extracting #7: cost 0 inf + 141118 197.338 * * [simplify]: Extracting #8: cost 0 inf + 140288 197.366 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 197.366 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 197.366 * * * * [progress]: [ 310 / 471 ] simplifiying candidate # 197.366 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 197.367 * * [simplify]: iters left: 6 (18 enodes) 197.377 * * [simplify]: iters left: 5 (76 enodes) 197.394 * * [simplify]: iters left: 4 (132 enodes) 197.418 * * [simplify]: iters left: 3 (215 enodes) 197.474 * * [simplify]: iters left: 2 (364 enodes) 197.570 * * [simplify]: Extracting #0: cost 1 inf + 0 197.570 * * [simplify]: Extracting #1: cost 23 inf + 0 197.570 * * [simplify]: Extracting #2: cost 50 inf + 0 197.570 * * [simplify]: Extracting #3: cost 79 inf + 0 197.571 * * [simplify]: Extracting #4: cost 148 inf + 165 197.571 * * [simplify]: Extracting #5: cost 158 inf + 1576 197.574 * * [simplify]: Extracting #6: cost 90 inf + 23913 197.581 * * [simplify]: Extracting #7: cost 20 inf + 58348 197.591 * * [simplify]: Extracting #8: cost 0 inf + 71404 197.610 * * [simplify]: Extracting #9: cost 0 inf + 69824 197.628 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 197.628 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 197.628 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 197.629 * * [simplify]: iters left: 6 (16 enodes) 197.637 * * [simplify]: iters left: 5 (64 enodes) 197.662 * * [simplify]: iters left: 4 (100 enodes) 197.688 * * [simplify]: iters left: 3 (146 enodes) 197.713 * * [simplify]: iters left: 2 (240 enodes) 197.786 * * [simplify]: iters left: 1 (470 enodes) 198.021 * * [simplify]: Extracting #0: cost 1 inf + 0 198.021 * * [simplify]: Extracting #1: cost 8 inf + 0 198.021 * * [simplify]: Extracting #2: cost 18 inf + 0 198.021 * * [simplify]: Extracting #3: cost 68 inf + 0 198.022 * * [simplify]: Extracting #4: cost 186 inf + 44 198.023 * * [simplify]: Extracting #5: cost 204 inf + 1423 198.027 * * [simplify]: Extracting #6: cost 127 inf + 24906 198.038 * * [simplify]: Extracting #7: cost 27 inf + 89451 198.062 * * [simplify]: Extracting #8: cost 0 inf + 109103 198.081 * * [simplify]: Extracting #9: cost 0 inf + 106315 198.098 * * [simplify]: Extracting #10: cost 0 inf + 103216 198.130 * * [simplify]: Extracting #11: cost 0 inf + 103034 198.163 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 198.163 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 198.164 * * * * [progress]: [ 311 / 471 ] simplifiying candidate # 198.164 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 198.164 * * [simplify]: iters left: 6 (17 enodes) 198.173 * * [simplify]: iters left: 5 (69 enodes) 198.196 * * [simplify]: iters left: 4 (109 enodes) 198.230 * * [simplify]: iters left: 3 (175 enodes) 198.266 * * [simplify]: iters left: 2 (295 enodes) 198.374 * * [simplify]: Extracting #0: cost 1 inf + 0 198.374 * * [simplify]: Extracting #1: cost 16 inf + 0 198.374 * * [simplify]: Extracting #2: cost 33 inf + 0 198.375 * * [simplify]: Extracting #3: cost 63 inf + 0 198.375 * * [simplify]: Extracting #4: cost 129 inf + 165 198.376 * * [simplify]: Extracting #5: cost 129 inf + 2284 198.377 * * [simplify]: Extracting #6: cost 74 inf + 15196 198.382 * * [simplify]: Extracting #7: cost 21 inf + 39540 198.389 * * [simplify]: Extracting #8: cost 0 inf + 54015 198.396 * * [simplify]: Extracting #9: cost 0 inf + 53884 198.404 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))))) 198.404 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 198.405 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 198.405 * * [simplify]: iters left: 6 (16 enodes) 198.414 * * [simplify]: iters left: 5 (64 enodes) 198.435 * * [simplify]: iters left: 4 (101 enodes) 198.468 * * [simplify]: iters left: 3 (147 enodes) 198.519 * * [simplify]: iters left: 2 (241 enodes) 198.588 * * [simplify]: iters left: 1 (462 enodes) 198.775 * * [simplify]: Extracting #0: cost 1 inf + 0 198.775 * * [simplify]: Extracting #1: cost 8 inf + 0 198.776 * * [simplify]: Extracting #2: cost 19 inf + 0 198.776 * * [simplify]: Extracting #3: cost 66 inf + 0 198.777 * * [simplify]: Extracting #4: cost 175 inf + 165 198.783 * * [simplify]: Extracting #5: cost 192 inf + 1462 198.786 * * [simplify]: Extracting #6: cost 138 inf + 13777 198.793 * * [simplify]: Extracting #7: cost 56 inf + 55921 198.806 * * [simplify]: Extracting #8: cost 2 inf + 98811 198.827 * * [simplify]: Extracting #9: cost 0 inf + 99275 198.855 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 198.855 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 198.856 * * * * [progress]: [ 312 / 471 ] simplifiying candidate # 198.856 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 198.856 * * [simplify]: iters left: 6 (13 enodes) 198.863 * * [simplify]: iters left: 5 (52 enodes) 198.878 * * [simplify]: iters left: 4 (91 enodes) 198.894 * * [simplify]: iters left: 3 (133 enodes) 198.925 * * [simplify]: iters left: 2 (209 enodes) 198.980 * * [simplify]: iters left: 1 (381 enodes) 199.110 * * [simplify]: Extracting #0: cost 1 inf + 0 199.110 * * [simplify]: Extracting #1: cost 12 inf + 0 199.111 * * [simplify]: Extracting #2: cost 22 inf + 1 199.111 * * [simplify]: Extracting #3: cost 52 inf + 1 199.112 * * [simplify]: Extracting #4: cost 122 inf + 166 199.113 * * [simplify]: Extracting #5: cost 145 inf + 1556 199.115 * * [simplify]: Extracting #6: cost 82 inf + 12862 199.121 * * [simplify]: Extracting #7: cost 21 inf + 43169 199.130 * * [simplify]: Extracting #8: cost 0 inf + 57804 199.138 * * [simplify]: Extracting #9: cost 0 inf + 57044 199.153 * * [simplify]: Extracting #10: cost 0 inf + 57043 199.170 * [simplify]: Simplified to (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 199.170 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (fabs (pow n (- 1/4 (/ k 4)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 199.170 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 199.170 * * [simplify]: iters left: 6 (15 enodes) 199.176 * * [simplify]: iters left: 5 (61 enodes) 199.189 * * [simplify]: iters left: 4 (101 enodes) 199.210 * * [simplify]: iters left: 3 (168 enodes) 199.246 * * [simplify]: iters left: 2 (330 enodes) 199.367 * * [simplify]: Extracting #0: cost 1 inf + 0 199.367 * * [simplify]: Extracting #1: cost 51 inf + 0 199.368 * * [simplify]: Extracting #2: cost 155 inf + 0 199.370 * * [simplify]: Extracting #3: cost 219 inf + 2 199.372 * * [simplify]: Extracting #4: cost 212 inf + 8416 199.392 * * [simplify]: Extracting #5: cost 98 inf + 75068 199.428 * * [simplify]: Extracting #6: cost 9 inf + 148938 199.465 * * [simplify]: Extracting #7: cost 0 inf + 149616 199.499 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 199.499 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 199.499 * * * * [progress]: [ 313 / 471 ] simplifiying candidate # 199.499 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 199.500 * * [simplify]: iters left: 6 (17 enodes) 199.505 * * [simplify]: iters left: 5 (72 enodes) 199.517 * * [simplify]: iters left: 4 (123 enodes) 199.547 * * [simplify]: iters left: 3 (240 enodes) 199.652 * * [simplify]: Extracting #0: cost 1 inf + 0 199.653 * * [simplify]: Extracting #1: cost 31 inf + 0 199.653 * * [simplify]: Extracting #2: cost 105 inf + 0 199.654 * * [simplify]: Extracting #3: cost 158 inf + 1 199.656 * * [simplify]: Extracting #4: cost 161 inf + 1627 199.665 * * [simplify]: Extracting #5: cost 94 inf + 21232 199.673 * * [simplify]: Extracting #6: cost 39 inf + 48365 199.684 * * [simplify]: Extracting #7: cost 5 inf + 72669 199.695 * * [simplify]: Extracting #8: cost 0 inf + 75029 199.715 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 4)))) 199.715 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 199.715 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 199.715 * * [simplify]: iters left: 6 (16 enodes) 199.720 * * [simplify]: iters left: 5 (67 enodes) 199.732 * * [simplify]: iters left: 4 (111 enodes) 199.759 * * [simplify]: iters left: 3 (192 enodes) 199.817 * * [simplify]: iters left: 2 (381 enodes) 199.953 * * [simplify]: Extracting #0: cost 1 inf + 0 199.954 * * [simplify]: Extracting #1: cost 49 inf + 0 199.954 * * [simplify]: Extracting #2: cost 152 inf + 0 199.955 * * [simplify]: Extracting #3: cost 225 inf + 2 199.956 * * [simplify]: Extracting #4: cost 220 inf + 6907 199.970 * * [simplify]: Extracting #5: cost 107 inf + 61957 199.997 * * [simplify]: Extracting #6: cost 5 inf + 139868 200.014 * * [simplify]: Extracting #7: cost 0 inf + 143718 200.032 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 200.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 200.032 * * * * [progress]: [ 314 / 471 ] simplifiying candidate # 200.032 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 200.033 * * [simplify]: iters left: 6 (14 enodes) 200.036 * * [simplify]: iters left: 5 (58 enodes) 200.051 * * [simplify]: iters left: 4 (98 enodes) 200.082 * * [simplify]: iters left: 3 (161 enodes) 200.145 * * [simplify]: iters left: 2 (322 enodes) 200.247 * * [simplify]: Extracting #0: cost 1 inf + 0 200.247 * * [simplify]: Extracting #1: cost 44 inf + 0 200.248 * * [simplify]: Extracting #2: cost 149 inf + 0 200.249 * * [simplify]: Extracting #3: cost 209 inf + 3 200.250 * * [simplify]: Extracting #4: cost 200 inf + 9397 200.257 * * [simplify]: Extracting #5: cost 109 inf + 47433 200.283 * * [simplify]: Extracting #6: cost 16 inf + 119214 200.299 * * [simplify]: Extracting #7: cost 0 inf + 132525 200.323 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 200.323 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 200.324 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 200.324 * * [simplify]: iters left: 6 (14 enodes) 200.332 * * [simplify]: iters left: 5 (57 enodes) 200.352 * * [simplify]: iters left: 4 (97 enodes) 200.383 * * [simplify]: iters left: 3 (160 enodes) 200.426 * * [simplify]: iters left: 2 (320 enodes) 200.574 * * [simplify]: Extracting #0: cost 1 inf + 0 200.574 * * [simplify]: Extracting #1: cost 50 inf + 0 200.574 * * [simplify]: Extracting #2: cost 153 inf + 0 200.575 * * [simplify]: Extracting #3: cost 215 inf + 3 200.576 * * [simplify]: Extracting #4: cost 221 inf + 2550 200.579 * * [simplify]: Extracting #5: cost 152 inf + 22380 200.595 * * [simplify]: Extracting #6: cost 30 inf + 116761 200.627 * * [simplify]: Extracting #7: cost 0 inf + 141198 200.661 * * [simplify]: Extracting #8: cost 0 inf + 140368 200.680 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 200.680 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 200.680 * * * * [progress]: [ 315 / 471 ] simplifiying candidate # 200.680 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 200.680 * * [simplify]: iters left: 6 (18 enodes) 200.685 * * [simplify]: iters left: 5 (73 enodes) 200.705 * * [simplify]: iters left: 4 (111 enodes) 200.732 * * [simplify]: iters left: 3 (170 enodes) 200.767 * * [simplify]: iters left: 2 (292 enodes) 200.832 * * [simplify]: Extracting #0: cost 1 inf + 0 200.832 * * [simplify]: Extracting #1: cost 15 inf + 0 200.832 * * [simplify]: Extracting #2: cost 30 inf + 0 200.832 * * [simplify]: Extracting #3: cost 59 inf + 0 200.833 * * [simplify]: Extracting #4: cost 128 inf + 286 200.834 * * [simplify]: Extracting #5: cost 131 inf + 2982 200.839 * * [simplify]: Extracting #6: cost 73 inf + 18433 200.850 * * [simplify]: Extracting #7: cost 17 inf + 43824 200.864 * * [simplify]: Extracting #8: cost 0 inf + 56417 200.878 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k)))) 200.878 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 200.878 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 200.879 * * [simplify]: iters left: 6 (16 enodes) 200.887 * * [simplify]: iters left: 5 (64 enodes) 200.912 * * [simplify]: iters left: 4 (100 enodes) 200.935 * * [simplify]: iters left: 3 (146 enodes) 200.959 * * [simplify]: iters left: 2 (240 enodes) 201.033 * * [simplify]: iters left: 1 (470 enodes) 201.232 * * [simplify]: Extracting #0: cost 1 inf + 0 201.232 * * [simplify]: Extracting #1: cost 8 inf + 0 201.232 * * [simplify]: Extracting #2: cost 18 inf + 0 201.232 * * [simplify]: Extracting #3: cost 68 inf + 0 201.233 * * [simplify]: Extracting #4: cost 186 inf + 84 201.234 * * [simplify]: Extracting #5: cost 204 inf + 1503 201.237 * * [simplify]: Extracting #6: cost 127 inf + 24986 201.256 * * [simplify]: Extracting #7: cost 27 inf + 89531 201.271 * * [simplify]: Extracting #8: cost 0 inf + 109183 201.290 * * [simplify]: Extracting #9: cost 0 inf + 106395 201.314 * * [simplify]: Extracting #10: cost 0 inf + 103296 201.334 * * [simplify]: Extracting #11: cost 0 inf + 103114 201.367 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 201.367 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 201.368 * * * * [progress]: [ 316 / 471 ] simplifiying candidate # 201.368 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 201.368 * * [simplify]: iters left: 6 (17 enodes) 201.378 * * [simplify]: iters left: 5 (68 enodes) 201.390 * * [simplify]: iters left: 4 (101 enodes) 201.406 * * [simplify]: iters left: 3 (152 enodes) 201.452 * * [simplify]: iters left: 2 (269 enodes) 201.518 * * [simplify]: Extracting #0: cost 1 inf + 0 201.519 * * [simplify]: Extracting #1: cost 8 inf + 0 201.519 * * [simplify]: Extracting #2: cost 20 inf + 0 201.519 * * [simplify]: Extracting #3: cost 51 inf + 0 201.519 * * [simplify]: Extracting #4: cost 120 inf + 205 201.520 * * [simplify]: Extracting #5: cost 119 inf + 2617 201.522 * * [simplify]: Extracting #6: cost 64 inf + 14500 201.526 * * [simplify]: Extracting #7: cost 11 inf + 41224 201.532 * * [simplify]: Extracting #8: cost 0 inf + 48339 201.539 * * [simplify]: Extracting #9: cost 0 inf + 48047 201.545 * * [simplify]: Extracting #10: cost 0 inf + 47966 201.553 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 201.553 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 201.553 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 201.554 * * [simplify]: iters left: 6 (16 enodes) 201.562 * * [simplify]: iters left: 5 (64 enodes) 201.582 * * [simplify]: iters left: 4 (101 enodes) 201.598 * * [simplify]: iters left: 3 (147 enodes) 201.635 * * [simplify]: iters left: 2 (241 enodes) 201.724 * * [simplify]: iters left: 1 (462 enodes) 201.952 * * [simplify]: Extracting #0: cost 1 inf + 0 201.952 * * [simplify]: Extracting #1: cost 8 inf + 0 201.952 * * [simplify]: Extracting #2: cost 19 inf + 0 201.952 * * [simplify]: Extracting #3: cost 66 inf + 0 201.953 * * [simplify]: Extracting #4: cost 175 inf + 205 201.955 * * [simplify]: Extracting #5: cost 192 inf + 1542 201.960 * * [simplify]: Extracting #6: cost 138 inf + 13857 201.977 * * [simplify]: Extracting #7: cost 56 inf + 56001 201.996 * * [simplify]: Extracting #8: cost 2 inf + 98891 202.010 * * [simplify]: Extracting #9: cost 0 inf + 99355 202.026 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 202.026 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 202.026 * * * * [progress]: [ 317 / 471 ] simplifiying candidate # 202.027 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 202.027 * * [simplify]: iters left: 6 (13 enodes) 202.031 * * [simplify]: iters left: 5 (50 enodes) 202.040 * * [simplify]: iters left: 4 (80 enodes) 202.055 * * [simplify]: iters left: 3 (115 enodes) 202.087 * * [simplify]: iters left: 2 (185 enodes) 202.134 * * [simplify]: iters left: 1 (347 enodes) 202.324 * * [simplify]: Extracting #0: cost 1 inf + 0 202.325 * * [simplify]: Extracting #1: cost 8 inf + 0 202.325 * * [simplify]: Extracting #2: cost 15 inf + 1 202.325 * * [simplify]: Extracting #3: cost 41 inf + 1 202.326 * * [simplify]: Extracting #4: cost 116 inf + 287 202.327 * * [simplify]: Extracting #5: cost 125 inf + 2647 202.331 * * [simplify]: Extracting #6: cost 80 inf + 10453 202.344 * * [simplify]: Extracting #7: cost 11 inf + 45536 202.359 * * [simplify]: Extracting #8: cost 0 inf + 51945 202.375 * * [simplify]: Extracting #9: cost 0 inf + 51561 202.391 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) 202.391 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 202.392 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 202.392 * * [simplify]: iters left: 6 (15 enodes) 202.399 * * [simplify]: iters left: 5 (61 enodes) 202.409 * * [simplify]: iters left: 4 (101 enodes) 202.426 * * [simplify]: iters left: 3 (168 enodes) 202.490 * * [simplify]: iters left: 2 (330 enodes) 202.587 * * [simplify]: Extracting #0: cost 1 inf + 0 202.587 * * [simplify]: Extracting #1: cost 51 inf + 0 202.588 * * [simplify]: Extracting #2: cost 155 inf + 0 202.588 * * [simplify]: Extracting #3: cost 219 inf + 2 202.590 * * [simplify]: Extracting #4: cost 212 inf + 8456 202.598 * * [simplify]: Extracting #5: cost 98 inf + 75148 202.615 * * [simplify]: Extracting #6: cost 9 inf + 149018 202.641 * * [simplify]: Extracting #7: cost 0 inf + 149696 202.667 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 202.667 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 202.667 * * * * [progress]: [ 318 / 471 ] simplifiying candidate # 202.667 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 202.667 * * [simplify]: iters left: 6 (17 enodes) 202.673 * * [simplify]: iters left: 5 (71 enodes) 202.685 * * [simplify]: iters left: 4 (112 enodes) 202.704 * * [simplify]: iters left: 3 (192 enodes) 202.746 * * [simplify]: iters left: 2 (396 enodes) 202.903 * * [simplify]: Extracting #0: cost 1 inf + 0 202.903 * * [simplify]: Extracting #1: cost 42 inf + 0 202.904 * * [simplify]: Extracting #2: cost 144 inf + 0 202.905 * * [simplify]: Extracting #3: cost 225 inf + 2 202.906 * * [simplify]: Extracting #4: cost 225 inf + 6986 202.911 * * [simplify]: Extracting #5: cost 138 inf + 37333 202.923 * * [simplify]: Extracting #6: cost 41 inf + 101129 202.955 * * [simplify]: Extracting #7: cost 0 inf + 137847 202.991 * * [simplify]: Extracting #8: cost 0 inf + 137454 203.028 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 203.028 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 203.028 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 203.029 * * [simplify]: iters left: 6 (16 enodes) 203.038 * * [simplify]: iters left: 5 (67 enodes) 203.061 * * [simplify]: iters left: 4 (111 enodes) 203.102 * * [simplify]: iters left: 3 (192 enodes) 203.174 * * [simplify]: iters left: 2 (381 enodes) 203.343 * * [simplify]: Extracting #0: cost 1 inf + 0 203.343 * * [simplify]: Extracting #1: cost 49 inf + 0 203.344 * * [simplify]: Extracting #2: cost 152 inf + 0 203.345 * * [simplify]: Extracting #3: cost 225 inf + 2 203.349 * * [simplify]: Extracting #4: cost 220 inf + 6947 203.362 * * [simplify]: Extracting #5: cost 107 inf + 62037 203.400 * * [simplify]: Extracting #6: cost 5 inf + 139948 203.424 * * [simplify]: Extracting #7: cost 0 inf + 143798 203.443 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 203.443 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 203.443 * * * * [progress]: [ 319 / 471 ] simplifiying candidate # 203.443 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 203.443 * * [simplify]: iters left: 6 (13 enodes) 203.447 * * [simplify]: iters left: 5 (54 enodes) 203.459 * * [simplify]: iters left: 4 (94 enodes) 203.491 * * [simplify]: iters left: 3 (157 enodes) 203.553 * * [simplify]: iters left: 2 (318 enodes) 203.674 * * [simplify]: Extracting #0: cost 1 inf + 0 203.674 * * [simplify]: Extracting #1: cost 53 inf + 0 203.675 * * [simplify]: Extracting #2: cost 152 inf + 0 203.676 * * [simplify]: Extracting #3: cost 212 inf + 3 203.679 * * [simplify]: Extracting #4: cost 209 inf + 5867 203.686 * * [simplify]: Extracting #5: cost 136 inf + 32247 203.709 * * [simplify]: Extracting #6: cost 22 inf + 117560 203.742 * * [simplify]: Extracting #7: cost 0 inf + 135627 203.779 * * [simplify]: Extracting #8: cost 0 inf + 134748 203.812 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 203.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 203.812 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 203.813 * * [simplify]: iters left: 6 (14 enodes) 203.821 * * [simplify]: iters left: 5 (57 enodes) 203.841 * * [simplify]: iters left: 4 (97 enodes) 203.873 * * [simplify]: iters left: 3 (160 enodes) 203.930 * * [simplify]: iters left: 2 (320 enodes) 204.036 * * [simplify]: Extracting #0: cost 1 inf + 0 204.037 * * [simplify]: Extracting #1: cost 50 inf + 0 204.037 * * [simplify]: Extracting #2: cost 153 inf + 0 204.039 * * [simplify]: Extracting #3: cost 215 inf + 3 204.041 * * [simplify]: Extracting #4: cost 221 inf + 2510 204.047 * * [simplify]: Extracting #5: cost 152 inf + 21860 204.069 * * [simplify]: Extracting #6: cost 30 inf + 114281 204.103 * * [simplify]: Extracting #7: cost 0 inf + 138118 204.136 * * [simplify]: Extracting #8: cost 0 inf + 137288 204.174 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 204.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 204.175 * * * * [progress]: [ 320 / 471 ] simplifiying candidate # 204.175 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 204.175 * * [simplify]: iters left: 6 (17 enodes) 204.184 * * [simplify]: iters left: 5 (69 enodes) 204.207 * * [simplify]: iters left: 4 (107 enodes) 204.240 * * [simplify]: iters left: 3 (166 enodes) 204.281 * * [simplify]: iters left: 2 (288 enodes) 204.377 * * [simplify]: Extracting #0: cost 1 inf + 0 204.377 * * [simplify]: Extracting #1: cost 15 inf + 0 204.377 * * [simplify]: Extracting #2: cost 29 inf + 0 204.377 * * [simplify]: Extracting #3: cost 56 inf + 0 204.378 * * [simplify]: Extracting #4: cost 131 inf + 125 204.379 * * [simplify]: Extracting #5: cost 137 inf + 1962 204.383 * * [simplify]: Extracting #6: cost 83 inf + 14437 204.392 * * [simplify]: Extracting #7: cost 32 inf + 38810 204.405 * * [simplify]: Extracting #8: cost 5 inf + 57128 204.423 * * [simplify]: Extracting #9: cost 0 inf + 60817 204.433 * * [simplify]: Extracting #10: cost 0 inf + 60363 204.441 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) 204.441 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 204.441 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 204.441 * * [simplify]: iters left: 6 (16 enodes) 204.445 * * [simplify]: iters left: 5 (64 enodes) 204.456 * * [simplify]: iters left: 4 (100 enodes) 204.476 * * [simplify]: iters left: 3 (146 enodes) 204.500 * * [simplify]: iters left: 2 (240 enodes) 204.563 * * [simplify]: iters left: 1 (470 enodes) 204.761 * * [simplify]: Extracting #0: cost 1 inf + 0 204.761 * * [simplify]: Extracting #1: cost 8 inf + 0 204.762 * * [simplify]: Extracting #2: cost 18 inf + 0 204.762 * * [simplify]: Extracting #3: cost 68 inf + 0 204.763 * * [simplify]: Extracting #4: cost 186 inf + 44 204.765 * * [simplify]: Extracting #5: cost 204 inf + 1343 204.771 * * [simplify]: Extracting #6: cost 127 inf + 24706 204.794 * * [simplify]: Extracting #7: cost 27 inf + 89131 204.828 * * [simplify]: Extracting #8: cost 0 inf + 108783 204.860 * * [simplify]: Extracting #9: cost 0 inf + 105995 204.879 * * [simplify]: Extracting #10: cost 0 inf + 102896 204.896 * * [simplify]: Extracting #11: cost 0 inf + 102714 204.919 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 204.919 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 204.919 * * * * [progress]: [ 321 / 471 ] simplifiying candidate # 204.920 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 204.920 * * [simplify]: iters left: 6 (16 enodes) 204.924 * * [simplify]: iters left: 5 (64 enodes) 204.937 * * [simplify]: iters left: 4 (101 enodes) 204.965 * * [simplify]: iters left: 3 (147 enodes) 205.007 * * [simplify]: iters left: 2 (241 enodes) 205.083 * * [simplify]: iters left: 1 (462 enodes) 205.336 * * [simplify]: Extracting #0: cost 1 inf + 0 205.336 * * [simplify]: Extracting #1: cost 8 inf + 0 205.336 * * [simplify]: Extracting #2: cost 19 inf + 0 205.336 * * [simplify]: Extracting #3: cost 66 inf + 0 205.337 * * [simplify]: Extracting #4: cost 175 inf + 125 205.340 * * [simplify]: Extracting #5: cost 192 inf + 1382 205.344 * * [simplify]: Extracting #6: cost 138 inf + 13617 205.358 * * [simplify]: Extracting #7: cost 56 inf + 55601 205.384 * * [simplify]: Extracting #8: cost 2 inf + 98491 205.408 * * [simplify]: Extracting #9: cost 0 inf + 98955 205.422 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 205.422 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 205.422 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 205.422 * * [simplify]: iters left: 6 (16 enodes) 205.429 * * [simplify]: iters left: 5 (64 enodes) 205.440 * * [simplify]: iters left: 4 (101 enodes) 205.456 * * [simplify]: iters left: 3 (147 enodes) 205.492 * * [simplify]: iters left: 2 (241 enodes) 205.574 * * [simplify]: iters left: 1 (462 enodes) 205.752 * * [simplify]: Extracting #0: cost 1 inf + 0 205.753 * * [simplify]: Extracting #1: cost 8 inf + 0 205.753 * * [simplify]: Extracting #2: cost 19 inf + 0 205.753 * * [simplify]: Extracting #3: cost 66 inf + 0 205.753 * * [simplify]: Extracting #4: cost 175 inf + 125 205.754 * * [simplify]: Extracting #5: cost 192 inf + 1382 205.756 * * [simplify]: Extracting #6: cost 138 inf + 13617 205.770 * * [simplify]: Extracting #7: cost 56 inf + 55601 205.796 * * [simplify]: Extracting #8: cost 2 inf + 98491 205.816 * * [simplify]: Extracting #9: cost 0 inf + 98955 205.832 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 205.832 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 205.832 * * * * [progress]: [ 322 / 471 ] simplifiying candidate # 205.832 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1)) 205.832 * * [simplify]: iters left: 6 (12 enodes) 205.836 * * [simplify]: iters left: 5 (47 enodes) 205.847 * * [simplify]: iters left: 4 (75 enodes) 205.871 * * [simplify]: iters left: 3 (109 enodes) 205.907 * * [simplify]: iters left: 2 (179 enodes) 205.978 * * [simplify]: iters left: 1 (345 enodes) 206.097 * * [simplify]: Extracting #0: cost 1 inf + 0 206.097 * * [simplify]: Extracting #1: cost 6 inf + 0 206.097 * * [simplify]: Extracting #2: cost 11 inf + 1 206.097 * * [simplify]: Extracting #3: cost 36 inf + 1 206.097 * * [simplify]: Extracting #4: cost 111 inf + 45 206.098 * * [simplify]: Extracting #5: cost 134 inf + 505 206.099 * * [simplify]: Extracting #6: cost 94 inf + 5802 206.103 * * [simplify]: Extracting #7: cost 37 inf + 25959 206.112 * * [simplify]: Extracting #8: cost 0 inf + 52426 206.128 * * [simplify]: Extracting #9: cost 0 inf + 51731 206.143 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) 206.143 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 206.144 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 206.144 * * [simplify]: iters left: 6 (15 enodes) 206.156 * * [simplify]: iters left: 5 (61 enodes) 206.177 * * [simplify]: iters left: 4 (101 enodes) 206.209 * * [simplify]: iters left: 3 (168 enodes) 206.259 * * [simplify]: iters left: 2 (330 enodes) 206.373 * * [simplify]: Extracting #0: cost 1 inf + 0 206.373 * * [simplify]: Extracting #1: cost 51 inf + 0 206.374 * * [simplify]: Extracting #2: cost 155 inf + 0 206.379 * * [simplify]: Extracting #3: cost 219 inf + 2 206.382 * * [simplify]: Extracting #4: cost 212 inf + 8096 206.397 * * [simplify]: Extracting #5: cost 98 inf + 73588 206.420 * * [simplify]: Extracting #6: cost 9 inf + 146098 206.441 * * [simplify]: Extracting #7: cost 0 inf + 146576 206.470 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 206.471 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 206.471 * * * * [progress]: [ 323 / 471 ] simplifiying candidate # 206.471 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 206.471 * * [simplify]: iters left: 6 (16 enodes) 206.476 * * [simplify]: iters left: 5 (67 enodes) 206.490 * * [simplify]: iters left: 4 (111 enodes) 206.531 * * [simplify]: iters left: 3 (192 enodes) 206.602 * * [simplify]: iters left: 2 (381 enodes) 206.713 * * [simplify]: Extracting #0: cost 1 inf + 0 206.713 * * [simplify]: Extracting #1: cost 49 inf + 0 206.714 * * [simplify]: Extracting #2: cost 152 inf + 0 206.715 * * [simplify]: Extracting #3: cost 225 inf + 2 206.722 * * [simplify]: Extracting #4: cost 220 inf + 6747 206.736 * * [simplify]: Extracting #5: cost 107 inf + 60877 206.768 * * [simplify]: Extracting #6: cost 5 inf + 137108 206.802 * * [simplify]: Extracting #7: cost 0 inf + 140838 206.829 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 206.829 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 206.829 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 206.829 * * [simplify]: iters left: 6 (16 enodes) 206.834 * * [simplify]: iters left: 5 (67 enodes) 206.845 * * [simplify]: iters left: 4 (111 enodes) 206.880 * * [simplify]: iters left: 3 (192 enodes) 206.919 * * [simplify]: iters left: 2 (381 enodes) 207.054 * * [simplify]: Extracting #0: cost 1 inf + 0 207.054 * * [simplify]: Extracting #1: cost 49 inf + 0 207.055 * * [simplify]: Extracting #2: cost 152 inf + 0 207.061 * * [simplify]: Extracting #3: cost 225 inf + 2 207.064 * * [simplify]: Extracting #4: cost 220 inf + 6747 207.078 * * [simplify]: Extracting #5: cost 107 inf + 60877 207.096 * * [simplify]: Extracting #6: cost 5 inf + 137108 207.114 * * [simplify]: Extracting #7: cost 0 inf + 140838 207.131 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 207.131 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 207.131 * * * * [progress]: [ 324 / 471 ] simplifiying candidate # 207.132 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 207.132 * * [simplify]: iters left: 6 (12 enodes) 207.136 * * [simplify]: iters left: 5 (51 enodes) 207.144 * * [simplify]: iters left: 4 (85 enodes) 207.162 * * [simplify]: iters left: 3 (152 enodes) 207.191 * * [simplify]: iters left: 2 (318 enodes) 207.268 * * [simplify]: Extracting #0: cost 1 inf + 0 207.268 * * [simplify]: Extracting #1: cost 51 inf + 0 207.269 * * [simplify]: Extracting #2: cost 136 inf + 1 207.270 * * [simplify]: Extracting #3: cost 186 inf + 4 207.271 * * [simplify]: Extracting #4: cost 209 inf + 12 207.274 * * [simplify]: Extracting #5: cost 176 inf + 4502 207.281 * * [simplify]: Extracting #6: cost 110 inf + 26640 207.298 * * [simplify]: Extracting #7: cost 18 inf + 87378 207.316 * * [simplify]: Extracting #8: cost 0 inf + 103339 207.333 * * [simplify]: Extracting #9: cost 0 inf + 102989 207.347 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) 207.347 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 207.348 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 207.348 * * [simplify]: iters left: 6 (13 enodes) 207.355 * * [simplify]: iters left: 5 (54 enodes) 207.374 * * [simplify]: iters left: 4 (94 enodes) 207.404 * * [simplify]: iters left: 3 (157 enodes) 207.442 * * [simplify]: iters left: 2 (318 enodes) 207.563 * * [simplify]: Extracting #0: cost 1 inf + 0 207.563 * * [simplify]: Extracting #1: cost 53 inf + 0 207.564 * * [simplify]: Extracting #2: cost 152 inf + 0 207.565 * * [simplify]: Extracting #3: cost 209 inf + 45 207.567 * * [simplify]: Extracting #4: cost 206 inf + 5505 207.575 * * [simplify]: Extracting #5: cost 122 inf + 41915 207.588 * * [simplify]: Extracting #6: cost 7 inf + 128414 207.604 * * [simplify]: Extracting #7: cost 0 inf + 132618 207.630 * * [simplify]: Extracting #8: cost 0 inf + 131739 207.666 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 207.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 207.667 * * * * [progress]: [ 325 / 471 ] simplifiying candidate # 207.667 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 207.667 * * [simplify]: iters left: 6 (16 enodes) 207.677 * * [simplify]: iters left: 5 (66 enodes) 207.699 * * [simplify]: iters left: 4 (109 enodes) 207.734 * * [simplify]: iters left: 3 (176 enodes) 207.793 * * [simplify]: iters left: 2 (290 enodes) 207.894 * * [simplify]: Extracting #0: cost 1 inf + 0 207.895 * * [simplify]: Extracting #1: cost 16 inf + 0 207.895 * * [simplify]: Extracting #2: cost 26 inf + 1 207.895 * * [simplify]: Extracting #3: cost 53 inf + 1 207.895 * * [simplify]: Extracting #4: cost 121 inf + 3 207.896 * * [simplify]: Extracting #5: cost 145 inf + 9 207.896 * * [simplify]: Extracting #6: cost 132 inf + 1354 207.898 * * [simplify]: Extracting #7: cost 86 inf + 10231 207.902 * * [simplify]: Extracting #8: cost 23 inf + 38378 207.909 * * [simplify]: Extracting #9: cost 0 inf + 53320 207.916 * * [simplify]: Extracting #10: cost 0 inf + 53230 207.933 * [simplify]: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 207.933 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 207.933 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 207.933 * * [simplify]: iters left: 6 (15 enodes) 207.937 * * [simplify]: iters left: 5 (61 enodes) 207.947 * * [simplify]: iters left: 4 (97 enodes) 207.964 * * [simplify]: iters left: 3 (147 enodes) 207.996 * * [simplify]: iters left: 2 (246 enodes) 208.054 * * [simplify]: iters left: 1 (462 enodes) 208.282 * * [simplify]: Extracting #0: cost 1 inf + 0 208.283 * * [simplify]: Extracting #1: cost 8 inf + 0 208.283 * * [simplify]: Extracting #2: cost 18 inf + 0 208.283 * * [simplify]: Extracting #3: cost 66 inf + 83 208.284 * * [simplify]: Extracting #4: cost 182 inf + 85 208.287 * * [simplify]: Extracting #5: cost 184 inf + 5136 208.298 * * [simplify]: Extracting #6: cost 77 inf + 53231 208.312 * * [simplify]: Extracting #7: cost 2 inf + 104956 208.336 * * [simplify]: Extracting #8: cost 0 inf + 105234 208.358 * * [simplify]: Extracting #9: cost 0 inf + 103590 208.374 * * [simplify]: Extracting #10: cost 0 inf + 102781 208.391 * * [simplify]: Extracting #11: cost 0 inf + 101019 208.413 * * [simplify]: Extracting #12: cost 0 inf + 100849 208.435 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 208.435 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 208.435 * * * * [progress]: [ 326 / 471 ] simplifiying candidate # 208.435 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 208.435 * * [simplify]: iters left: 6 (15 enodes) 208.441 * * [simplify]: iters left: 5 (61 enodes) 208.451 * * [simplify]: iters left: 4 (96 enodes) 208.479 * * [simplify]: iters left: 3 (145 enodes) 208.526 * * [simplify]: iters left: 2 (241 enodes) 208.579 * * [simplify]: iters left: 1 (472 enodes) 208.754 * * [simplify]: Extracting #0: cost 1 inf + 0 208.754 * * [simplify]: Extracting #1: cost 7 inf + 0 208.754 * * [simplify]: Extracting #2: cost 14 inf + 1 208.754 * * [simplify]: Extracting #3: cost 63 inf + 1 208.756 * * [simplify]: Extracting #4: cost 172 inf + 3 208.757 * * [simplify]: Extracting #5: cost 214 inf + 10 208.760 * * [simplify]: Extracting #6: cost 181 inf + 5734 208.770 * * [simplify]: Extracting #7: cost 94 inf + 29390 208.791 * * [simplify]: Extracting #8: cost 13 inf + 85500 208.815 * * [simplify]: Extracting #9: cost 0 inf + 95385 208.845 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) 208.845 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 208.846 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 208.846 * * [simplify]: iters left: 6 (15 enodes) 208.854 * * [simplify]: iters left: 5 (61 enodes) 208.876 * * [simplify]: iters left: 4 (98 enodes) 208.906 * * [simplify]: iters left: 3 (144 enodes) 208.954 * * [simplify]: iters left: 2 (238 enodes) 209.032 * * [simplify]: iters left: 1 (464 enodes) 209.226 * * [simplify]: Extracting #0: cost 1 inf + 0 209.227 * * [simplify]: Extracting #1: cost 8 inf + 0 209.227 * * [simplify]: Extracting #2: cost 19 inf + 0 209.227 * * [simplify]: Extracting #3: cost 62 inf + 83 209.228 * * [simplify]: Extracting #4: cost 181 inf + 85 209.230 * * [simplify]: Extracting #5: cost 198 inf + 1550 209.236 * * [simplify]: Extracting #6: cost 133 inf + 20109 209.246 * * [simplify]: Extracting #7: cost 67 inf + 53281 209.259 * * [simplify]: Extracting #8: cost 5 inf + 102979 209.277 * * [simplify]: Extracting #9: cost 0 inf + 106655 209.306 * * [simplify]: Extracting #10: cost 0 inf + 103060 209.322 * * [simplify]: Extracting #11: cost 0 inf + 101905 209.338 * * [simplify]: Extracting #12: cost 0 inf + 100979 209.368 * [simplify]: Simplified to (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 209.368 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)))) 209.369 * * * * [progress]: [ 327 / 471 ] simplifiying candidate # 209.369 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) 1)) 209.369 * * [simplify]: iters left: 6 (11 enodes) 209.375 * * [simplify]: iters left: 5 (44 enodes) 209.382 * * [simplify]: iters left: 4 (70 enodes) 209.396 * * [simplify]: iters left: 3 (108 enodes) 209.422 * * [simplify]: iters left: 2 (179 enodes) 209.468 * * [simplify]: iters left: 1 (338 enodes) 209.635 * * [simplify]: Extracting #0: cost 1 inf + 0 209.635 * * [simplify]: Extracting #1: cost 6 inf + 0 209.635 * * [simplify]: Extracting #2: cost 35 inf + 1 209.636 * * [simplify]: Extracting #3: cost 111 inf + 3 209.637 * * [simplify]: Extracting #4: cost 151 inf + 9 209.639 * * [simplify]: Extracting #5: cost 138 inf + 1138 209.644 * * [simplify]: Extracting #6: cost 66 inf + 14547 209.656 * * [simplify]: Extracting #7: cost 7 inf + 49492 209.672 * * [simplify]: Extracting #8: cost 0 inf + 54927 209.689 * * [simplify]: Extracting #9: cost 0 inf + 53922 209.705 * [simplify]: Simplified to (fabs (pow n (/ (- 1 k) 4))) 209.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (fabs (pow n (/ (- 1 k) 4))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 209.707 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 209.707 * * [simplify]: iters left: 6 (14 enodes) 209.715 * * [simplify]: iters left: 5 (58 enodes) 209.735 * * [simplify]: iters left: 4 (98 enodes) 209.766 * * [simplify]: iters left: 3 (161 enodes) 209.804 * * [simplify]: iters left: 2 (322 enodes) 209.925 * * [simplify]: Extracting #0: cost 1 inf + 0 209.926 * * [simplify]: Extracting #1: cost 44 inf + 0 209.926 * * [simplify]: Extracting #2: cost 148 inf + 0 209.927 * * [simplify]: Extracting #3: cost 207 inf + 85 209.928 * * [simplify]: Extracting #4: cost 189 inf + 10980 209.938 * * [simplify]: Extracting #5: cost 120 inf + 38444 209.962 * * [simplify]: Extracting #6: cost 22 inf + 114518 209.998 * * [simplify]: Extracting #7: cost 0 inf + 133156 210.031 * * [simplify]: Extracting #8: cost 0 inf + 132632 210.063 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 210.063 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 210.064 * * * * [progress]: [ 328 / 471 ] simplifiying candidate # 210.064 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 210.064 * * [simplify]: iters left: 6 (15 enodes) 210.074 * * [simplify]: iters left: 5 (64 enodes) 210.098 * * [simplify]: iters left: 4 (106 enodes) 210.134 * * [simplify]: iters left: 3 (186 enodes) 210.204 * * [simplify]: iters left: 2 (363 enodes) 210.341 * * [simplify]: Extracting #0: cost 1 inf + 0 210.342 * * [simplify]: Extracting #1: cost 52 inf + 0 210.342 * * [simplify]: Extracting #2: cost 134 inf + 1 210.344 * * [simplify]: Extracting #3: cost 197 inf + 3 210.345 * * [simplify]: Extracting #4: cost 231 inf + 56 210.349 * * [simplify]: Extracting #5: cost 201 inf + 6265 210.354 * * [simplify]: Extracting #6: cost 132 inf + 19969 210.367 * * [simplify]: Extracting #7: cost 59 inf + 64757 210.392 * * [simplify]: Extracting #8: cost 0 inf + 113377 210.410 * * [simplify]: Extracting #9: cost 0 inf + 112207 210.433 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) 210.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 210.434 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 210.434 * * [simplify]: iters left: 6 (15 enodes) 210.443 * * [simplify]: iters left: 5 (64 enodes) 210.465 * * [simplify]: iters left: 4 (108 enodes) 210.483 * * [simplify]: iters left: 3 (189 enodes) 210.539 * * [simplify]: iters left: 2 (385 enodes) 210.666 * * [simplify]: Extracting #0: cost 1 inf + 0 210.667 * * [simplify]: Extracting #1: cost 51 inf + 0 210.667 * * [simplify]: Extracting #2: cost 154 inf + 0 210.669 * * [simplify]: Extracting #3: cost 224 inf + 44 210.670 * * [simplify]: Extracting #4: cost 224 inf + 5958 210.674 * * [simplify]: Extracting #5: cost 150 inf + 30122 210.688 * * [simplify]: Extracting #6: cost 24 inf + 120115 210.711 * * [simplify]: Extracting #7: cost 0 inf + 138973 210.745 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 210.745 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 210.745 * * * * [progress]: [ 329 / 471 ] simplifiying candidate # 210.746 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 210.746 * * [simplify]: iters left: 6 (13 enodes) 210.753 * * [simplify]: iters left: 5 (54 enodes) 210.772 * * [simplify]: iters left: 4 (94 enodes) 210.796 * * [simplify]: iters left: 3 (157 enodes) 210.838 * * [simplify]: iters left: 2 (318 enodes) 210.950 * * [simplify]: Extracting #0: cost 1 inf + 0 210.951 * * [simplify]: Extracting #1: cost 53 inf + 0 210.951 * * [simplify]: Extracting #2: cost 152 inf + 0 210.952 * * [simplify]: Extracting #3: cost 212 inf + 3 210.953 * * [simplify]: Extracting #4: cost 209 inf + 5867 210.957 * * [simplify]: Extracting #5: cost 136 inf + 32247 210.968 * * [simplify]: Extracting #6: cost 22 inf + 117560 211.000 * * [simplify]: Extracting #7: cost 0 inf + 135627 211.035 * * [simplify]: Extracting #8: cost 0 inf + 134748 211.067 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 211.067 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 211.067 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 211.069 * * [simplify]: iters left: 6 (14 enodes) 211.073 * * [simplify]: iters left: 5 (57 enodes) 211.083 * * [simplify]: iters left: 4 (97 enodes) 211.099 * * [simplify]: iters left: 3 (160 enodes) 211.142 * * [simplify]: iters left: 2 (320 enodes) 211.228 * * [simplify]: Extracting #0: cost 1 inf + 0 211.228 * * [simplify]: Extracting #1: cost 50 inf + 0 211.229 * * [simplify]: Extracting #2: cost 153 inf + 0 211.230 * * [simplify]: Extracting #3: cost 215 inf + 3 211.236 * * [simplify]: Extracting #4: cost 221 inf + 2510 211.242 * * [simplify]: Extracting #5: cost 152 inf + 21860 211.257 * * [simplify]: Extracting #6: cost 30 inf + 114281 211.274 * * [simplify]: Extracting #7: cost 0 inf + 138118 211.298 * * [simplify]: Extracting #8: cost 0 inf + 137288 211.332 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 211.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 211.333 * * * * [progress]: [ 330 / 471 ] simplifiying candidate # 211.333 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 211.333 * * [simplify]: iters left: 6 (17 enodes) 211.342 * * [simplify]: iters left: 5 (69 enodes) 211.362 * * [simplify]: iters left: 4 (107 enodes) 211.381 * * [simplify]: iters left: 3 (166 enodes) 211.434 * * [simplify]: iters left: 2 (288 enodes) 211.544 * * [simplify]: Extracting #0: cost 1 inf + 0 211.545 * * [simplify]: Extracting #1: cost 15 inf + 0 211.545 * * [simplify]: Extracting #2: cost 29 inf + 0 211.545 * * [simplify]: Extracting #3: cost 56 inf + 0 211.546 * * [simplify]: Extracting #4: cost 131 inf + 125 211.547 * * [simplify]: Extracting #5: cost 137 inf + 1962 211.551 * * [simplify]: Extracting #6: cost 83 inf + 14437 211.560 * * [simplify]: Extracting #7: cost 32 inf + 38810 211.573 * * [simplify]: Extracting #8: cost 5 inf + 57128 211.588 * * [simplify]: Extracting #9: cost 0 inf + 60817 211.602 * * [simplify]: Extracting #10: cost 0 inf + 60363 211.617 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) 211.617 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 211.618 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 211.618 * * [simplify]: iters left: 6 (16 enodes) 211.627 * * [simplify]: iters left: 5 (64 enodes) 211.652 * * [simplify]: iters left: 4 (100 enodes) 211.673 * * [simplify]: iters left: 3 (146 enodes) 211.704 * * [simplify]: iters left: 2 (240 enodes) 211.805 * * [simplify]: iters left: 1 (470 enodes) 211.963 * * [simplify]: Extracting #0: cost 1 inf + 0 211.963 * * [simplify]: Extracting #1: cost 8 inf + 0 211.964 * * [simplify]: Extracting #2: cost 18 inf + 0 211.964 * * [simplify]: Extracting #3: cost 68 inf + 0 211.964 * * [simplify]: Extracting #4: cost 186 inf + 44 211.966 * * [simplify]: Extracting #5: cost 204 inf + 1343 211.973 * * [simplify]: Extracting #6: cost 127 inf + 24706 211.995 * * [simplify]: Extracting #7: cost 27 inf + 89131 212.026 * * [simplify]: Extracting #8: cost 0 inf + 108783 212.046 * * [simplify]: Extracting #9: cost 0 inf + 105995 212.063 * * [simplify]: Extracting #10: cost 0 inf + 102896 212.091 * * [simplify]: Extracting #11: cost 0 inf + 102714 212.119 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 212.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 212.119 * * * * [progress]: [ 331 / 471 ] simplifiying candidate # 212.119 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.119 * * [simplify]: iters left: 6 (16 enodes) 212.123 * * [simplify]: iters left: 5 (64 enodes) 212.135 * * [simplify]: iters left: 4 (101 enodes) 212.160 * * [simplify]: iters left: 3 (147 enodes) 212.195 * * [simplify]: iters left: 2 (241 enodes) 212.276 * * [simplify]: iters left: 1 (462 enodes) 212.469 * * [simplify]: Extracting #0: cost 1 inf + 0 212.469 * * [simplify]: Extracting #1: cost 8 inf + 0 212.469 * * [simplify]: Extracting #2: cost 19 inf + 0 212.469 * * [simplify]: Extracting #3: cost 66 inf + 0 212.470 * * [simplify]: Extracting #4: cost 175 inf + 125 212.474 * * [simplify]: Extracting #5: cost 192 inf + 1382 212.477 * * [simplify]: Extracting #6: cost 138 inf + 13617 212.484 * * [simplify]: Extracting #7: cost 56 inf + 55601 212.503 * * [simplify]: Extracting #8: cost 2 inf + 98491 212.517 * * [simplify]: Extracting #9: cost 0 inf + 98955 212.536 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.536 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 212.537 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.537 * * [simplify]: iters left: 6 (16 enodes) 212.541 * * [simplify]: iters left: 5 (64 enodes) 212.552 * * [simplify]: iters left: 4 (101 enodes) 212.571 * * [simplify]: iters left: 3 (147 enodes) 212.618 * * [simplify]: iters left: 2 (241 enodes) 212.707 * * [simplify]: iters left: 1 (462 enodes) 212.903 * * [simplify]: Extracting #0: cost 1 inf + 0 212.903 * * [simplify]: Extracting #1: cost 8 inf + 0 212.903 * * [simplify]: Extracting #2: cost 19 inf + 0 212.903 * * [simplify]: Extracting #3: cost 66 inf + 0 212.904 * * [simplify]: Extracting #4: cost 175 inf + 125 212.905 * * [simplify]: Extracting #5: cost 192 inf + 1382 212.907 * * [simplify]: Extracting #6: cost 138 inf + 13617 212.914 * * [simplify]: Extracting #7: cost 56 inf + 55601 212.933 * * [simplify]: Extracting #8: cost 2 inf + 98491 212.960 * * [simplify]: Extracting #9: cost 0 inf + 98955 212.987 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 212.987 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 212.987 * * * * [progress]: [ 332 / 471 ] simplifiying candidate # 212.987 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) 1)) 212.988 * * [simplify]: iters left: 6 (12 enodes) 212.994 * * [simplify]: iters left: 5 (47 enodes) 213.010 * * [simplify]: iters left: 4 (75 enodes) 213.037 * * [simplify]: iters left: 3 (109 enodes) 213.058 * * [simplify]: iters left: 2 (179 enodes) 213.098 * * [simplify]: iters left: 1 (345 enodes) 213.208 * * [simplify]: Extracting #0: cost 1 inf + 0 213.208 * * [simplify]: Extracting #1: cost 6 inf + 0 213.208 * * [simplify]: Extracting #2: cost 11 inf + 1 213.208 * * [simplify]: Extracting #3: cost 36 inf + 1 213.208 * * [simplify]: Extracting #4: cost 111 inf + 45 213.209 * * [simplify]: Extracting #5: cost 134 inf + 505 213.210 * * [simplify]: Extracting #6: cost 94 inf + 5802 213.214 * * [simplify]: Extracting #7: cost 37 inf + 25959 213.225 * * [simplify]: Extracting #8: cost 0 inf + 52426 213.240 * * [simplify]: Extracting #9: cost 0 inf + 51731 213.255 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) 213.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 213.256 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 213.256 * * [simplify]: iters left: 6 (15 enodes) 213.265 * * [simplify]: iters left: 5 (61 enodes) 213.286 * * [simplify]: iters left: 4 (101 enodes) 213.325 * * [simplify]: iters left: 3 (168 enodes) 213.389 * * [simplify]: iters left: 2 (330 enodes) 213.531 * * [simplify]: Extracting #0: cost 1 inf + 0 213.531 * * [simplify]: Extracting #1: cost 51 inf + 0 213.531 * * [simplify]: Extracting #2: cost 155 inf + 0 213.532 * * [simplify]: Extracting #3: cost 219 inf + 2 213.534 * * [simplify]: Extracting #4: cost 212 inf + 8096 213.541 * * [simplify]: Extracting #5: cost 98 inf + 73588 213.579 * * [simplify]: Extracting #6: cost 9 inf + 146098 213.606 * * [simplify]: Extracting #7: cost 0 inf + 146576 213.624 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 213.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 213.624 * * * * [progress]: [ 333 / 471 ] simplifiying candidate # 213.624 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 213.624 * * [simplify]: iters left: 6 (16 enodes) 213.633 * * [simplify]: iters left: 5 (67 enodes) 213.654 * * [simplify]: iters left: 4 (111 enodes) 213.673 * * [simplify]: iters left: 3 (192 enodes) 213.711 * * [simplify]: iters left: 2 (381 enodes) 213.843 * * [simplify]: Extracting #0: cost 1 inf + 0 213.843 * * [simplify]: Extracting #1: cost 49 inf + 0 213.844 * * [simplify]: Extracting #2: cost 152 inf + 0 213.844 * * [simplify]: Extracting #3: cost 225 inf + 2 213.846 * * [simplify]: Extracting #4: cost 220 inf + 6747 213.858 * * [simplify]: Extracting #5: cost 107 inf + 60877 213.887 * * [simplify]: Extracting #6: cost 5 inf + 137108 213.904 * * [simplify]: Extracting #7: cost 0 inf + 140838 213.935 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 213.935 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 213.936 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 213.936 * * [simplify]: iters left: 6 (16 enodes) 213.946 * * [simplify]: iters left: 5 (67 enodes) 213.966 * * [simplify]: iters left: 4 (111 enodes) 213.986 * * [simplify]: iters left: 3 (192 enodes) 214.042 * * [simplify]: iters left: 2 (381 enodes) 214.196 * * [simplify]: Extracting #0: cost 1 inf + 0 214.196 * * [simplify]: Extracting #1: cost 49 inf + 0 214.197 * * [simplify]: Extracting #2: cost 152 inf + 0 214.198 * * [simplify]: Extracting #3: cost 225 inf + 2 214.199 * * [simplify]: Extracting #4: cost 220 inf + 6747 214.206 * * [simplify]: Extracting #5: cost 107 inf + 60877 214.226 * * [simplify]: Extracting #6: cost 5 inf + 137108 214.250 * * [simplify]: Extracting #7: cost 0 inf + 140838 214.275 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))) 214.275 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 4)))))) 214.275 * * * * [progress]: [ 334 / 471 ] simplifiying candidate # 214.275 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 214.275 * * [simplify]: iters left: 6 (11 enodes) 214.279 * * [simplify]: iters left: 5 (48 enodes) 214.287 * * [simplify]: iters left: 4 (84 enodes) 214.313 * * [simplify]: iters left: 3 (150 enodes) 214.372 * * [simplify]: iters left: 2 (298 enodes) 214.513 * * [simplify]: Extracting #0: cost 1 inf + 0 214.513 * * [simplify]: Extracting #1: cost 51 inf + 0 214.514 * * [simplify]: Extracting #2: cost 140 inf + 1 214.515 * * [simplify]: Extracting #3: cost 183 inf + 4 214.516 * * [simplify]: Extracting #4: cost 211 inf + 11 214.518 * * [simplify]: Extracting #5: cost 186 inf + 4415 214.524 * * [simplify]: Extracting #6: cost 127 inf + 22124 214.540 * * [simplify]: Extracting #7: cost 40 inf + 75833 214.567 * * [simplify]: Extracting #8: cost 2 inf + 105804 214.594 * * [simplify]: Extracting #9: cost 0 inf + 106539 214.621 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) 214.621 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 214.621 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 214.621 * * [simplify]: iters left: 6 (13 enodes) 214.628 * * [simplify]: iters left: 5 (54 enodes) 214.644 * * [simplify]: iters left: 4 (94 enodes) 214.660 * * [simplify]: iters left: 3 (157 enodes) 214.716 * * [simplify]: iters left: 2 (318 enodes) 214.814 * * [simplify]: Extracting #0: cost 1 inf + 0 214.815 * * [simplify]: Extracting #1: cost 53 inf + 0 214.815 * * [simplify]: Extracting #2: cost 152 inf + 0 214.816 * * [simplify]: Extracting #3: cost 209 inf + 45 214.817 * * [simplify]: Extracting #4: cost 206 inf + 5505 214.822 * * [simplify]: Extracting #5: cost 122 inf + 41915 214.849 * * [simplify]: Extracting #6: cost 7 inf + 128414 214.879 * * [simplify]: Extracting #7: cost 0 inf + 132618 214.895 * * [simplify]: Extracting #8: cost 0 inf + 131739 214.916 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 214.917 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 214.917 * * * * [progress]: [ 335 / 471 ] simplifiying candidate # 214.917 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 214.917 * * [simplify]: iters left: 6 (15 enodes) 214.926 * * [simplify]: iters left: 5 (63 enodes) 214.947 * * [simplify]: iters left: 4 (101 enodes) 214.982 * * [simplify]: iters left: 3 (158 enodes) 215.021 * * [simplify]: iters left: 2 (262 enodes) 215.089 * * [simplify]: Extracting #0: cost 1 inf + 0 215.089 * * [simplify]: Extracting #1: cost 16 inf + 0 215.090 * * [simplify]: Extracting #2: cost 26 inf + 1 215.090 * * [simplify]: Extracting #3: cost 52 inf + 1 215.091 * * [simplify]: Extracting #4: cost 121 inf + 3 215.091 * * [simplify]: Extracting #5: cost 141 inf + 51 215.093 * * [simplify]: Extracting #6: cost 123 inf + 2185 215.097 * * [simplify]: Extracting #7: cost 68 inf + 15786 215.108 * * [simplify]: Extracting #8: cost 21 inf + 40943 215.122 * * [simplify]: Extracting #9: cost 2 inf + 53413 215.137 * * [simplify]: Extracting #10: cost 0 inf + 54955 215.152 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) 215.152 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 215.152 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 215.152 * * [simplify]: iters left: 6 (15 enodes) 215.161 * * [simplify]: iters left: 5 (61 enodes) 215.178 * * [simplify]: iters left: 4 (97 enodes) 215.193 * * [simplify]: iters left: 3 (147 enodes) 215.229 * * [simplify]: iters left: 2 (246 enodes) 215.286 * * [simplify]: iters left: 1 (462 enodes) 215.501 * * [simplify]: Extracting #0: cost 1 inf + 0 215.501 * * [simplify]: Extracting #1: cost 8 inf + 0 215.501 * * [simplify]: Extracting #2: cost 18 inf + 0 215.501 * * [simplify]: Extracting #3: cost 66 inf + 83 215.502 * * [simplify]: Extracting #4: cost 182 inf + 85 215.505 * * [simplify]: Extracting #5: cost 184 inf + 5136 215.518 * * [simplify]: Extracting #6: cost 77 inf + 53231 215.545 * * [simplify]: Extracting #7: cost 2 inf + 104956 215.576 * * [simplify]: Extracting #8: cost 0 inf + 105234 215.604 * * [simplify]: Extracting #9: cost 0 inf + 103590 215.620 * * [simplify]: Extracting #10: cost 0 inf + 102781 215.643 * * [simplify]: Extracting #11: cost 0 inf + 101019 215.670 * * [simplify]: Extracting #12: cost 0 inf + 100849 215.686 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))) 215.687 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))))))) 215.687 * * * * [progress]: [ 336 / 471 ] simplifiying candidate # 215.687 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 215.687 * * [simplify]: iters left: 6 (14 enodes) 215.691 * * [simplify]: iters left: 5 (58 enodes) 215.701 * * [simplify]: iters left: 4 (91 enodes) 215.721 * * [simplify]: iters left: 3 (140 enodes) 215.759 * * [simplify]: iters left: 2 (236 enodes) 215.807 * * [simplify]: iters left: 1 (462 enodes) 216.004 * * [simplify]: Extracting #0: cost 1 inf + 0 216.004 * * [simplify]: Extracting #1: cost 7 inf + 0 216.004 * * [simplify]: Extracting #2: cost 14 inf + 1 216.005 * * [simplify]: Extracting #3: cost 63 inf + 1 216.005 * * [simplify]: Extracting #4: cost 181 inf + 3 216.006 * * [simplify]: Extracting #5: cost 207 inf + 94 216.008 * * [simplify]: Extracting #6: cost 191 inf + 3549 216.019 * * [simplify]: Extracting #7: cost 74 inf + 52863 216.034 * * [simplify]: Extracting #8: cost 1 inf + 102041 216.049 * * [simplify]: Extracting #9: cost 0 inf + 100200 216.064 * * [simplify]: Extracting #10: cost 0 inf + 100120 216.089 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) 216.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 216.089 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 216.090 * * [simplify]: iters left: 6 (15 enodes) 216.098 * * [simplify]: iters left: 5 (61 enodes) 216.119 * * [simplify]: iters left: 4 (98 enodes) 216.152 * * [simplify]: iters left: 3 (144 enodes) 216.201 * * [simplify]: iters left: 2 (238 enodes) 216.290 * * [simplify]: iters left: 1 (464 enodes) 216.470 * * [simplify]: Extracting #0: cost 1 inf + 0 216.470 * * [simplify]: Extracting #1: cost 8 inf + 0 216.470 * * [simplify]: Extracting #2: cost 19 inf + 0 216.470 * * [simplify]: Extracting #3: cost 62 inf + 83 216.471 * * [simplify]: Extracting #4: cost 181 inf + 85 216.472 * * [simplify]: Extracting #5: cost 198 inf + 1550 216.475 * * [simplify]: Extracting #6: cost 133 inf + 20109 216.482 * * [simplify]: Extracting #7: cost 67 inf + 53281 216.495 * * [simplify]: Extracting #8: cost 5 inf + 102979 216.515 * * [simplify]: Extracting #9: cost 0 inf + 106655 216.546 * * [simplify]: Extracting #10: cost 0 inf + 103060 216.581 * * [simplify]: Extracting #11: cost 0 inf + 101905 216.605 * * [simplify]: Extracting #12: cost 0 inf + 100979 216.621 * [simplify]: Simplified to (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 216.621 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (/ (* (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt k)))) 216.621 * * * * [progress]: [ 337 / 471 ] simplifiying candidate # 216.621 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1)) 216.621 * * [simplify]: iters left: 6 (10 enodes) 216.624 * * [simplify]: iters left: 5 (39 enodes) 216.632 * * [simplify]: iters left: 4 (65 enodes) 216.653 * * [simplify]: iters left: 3 (98 enodes) 216.684 * * [simplify]: iters left: 2 (167 enodes) 216.751 * * [simplify]: iters left: 1 (323 enodes) 216.914 * * [simplify]: Extracting #0: cost 1 inf + 0 216.914 * * [simplify]: Extracting #1: cost 5 inf + 0 216.914 * * [simplify]: Extracting #2: cost 30 inf + 1 216.915 * * [simplify]: Extracting #3: cost 103 inf + 3 216.915 * * [simplify]: Extracting #4: cost 134 inf + 9 216.917 * * [simplify]: Extracting #5: cost 125 inf + 1253 216.921 * * [simplify]: Extracting #6: cost 70 inf + 9096 216.933 * * [simplify]: Extracting #7: cost 7 inf + 46801 216.949 * * [simplify]: Extracting #8: cost 0 inf + 51603 216.968 * * [simplify]: Extracting #9: cost 0 inf + 51472 216.983 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 216.983 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 216.984 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 216.984 * * [simplify]: iters left: 6 (14 enodes) 216.990 * * [simplify]: iters left: 5 (58 enodes) 217.000 * * [simplify]: iters left: 4 (98 enodes) 217.017 * * [simplify]: iters left: 3 (161 enodes) 217.049 * * [simplify]: iters left: 2 (322 enodes) 217.184 * * [simplify]: Extracting #0: cost 1 inf + 0 217.185 * * [simplify]: Extracting #1: cost 44 inf + 0 217.185 * * [simplify]: Extracting #2: cost 148 inf + 0 217.186 * * [simplify]: Extracting #3: cost 207 inf + 85 217.187 * * [simplify]: Extracting #4: cost 189 inf + 10980 217.192 * * [simplify]: Extracting #5: cost 120 inf + 38444 217.216 * * [simplify]: Extracting #6: cost 22 inf + 114518 217.247 * * [simplify]: Extracting #7: cost 0 inf + 133156 217.268 * * [simplify]: Extracting #8: cost 0 inf + 132632 217.285 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 217.285 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 1)) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 217.285 * * * * [progress]: [ 338 / 471 ] simplifiying candidate # 217.286 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 217.286 * * [simplify]: iters left: 6 (14 enodes) 217.294 * * [simplify]: iters left: 5 (61 enodes) 217.318 * * [simplify]: iters left: 4 (101 enodes) 217.351 * * [simplify]: iters left: 3 (181 enodes) 217.419 * * [simplify]: iters left: 2 (357 enodes) 217.536 * * [simplify]: Extracting #0: cost 1 inf + 0 217.536 * * [simplify]: Extracting #1: cost 52 inf + 0 217.537 * * [simplify]: Extracting #2: cost 140 inf + 1 217.538 * * [simplify]: Extracting #3: cost 198 inf + 3 217.544 * * [simplify]: Extracting #4: cost 225 inf + 98 217.547 * * [simplify]: Extracting #5: cost 196 inf + 7017 217.561 * * [simplify]: Extracting #6: cost 61 inf + 64769 217.577 * * [simplify]: Extracting #7: cost 0 inf + 111158 217.591 * * [simplify]: Extracting #8: cost 0 inf + 110227 217.617 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) 217.617 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 217.618 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 217.618 * * [simplify]: iters left: 6 (15 enodes) 217.627 * * [simplify]: iters left: 5 (64 enodes) 217.649 * * [simplify]: iters left: 4 (108 enodes) 217.689 * * [simplify]: iters left: 3 (189 enodes) 217.763 * * [simplify]: iters left: 2 (385 enodes) 217.883 * * [simplify]: Extracting #0: cost 1 inf + 0 217.883 * * [simplify]: Extracting #1: cost 51 inf + 0 217.884 * * [simplify]: Extracting #2: cost 154 inf + 0 217.885 * * [simplify]: Extracting #3: cost 224 inf + 44 217.886 * * [simplify]: Extracting #4: cost 224 inf + 5958 217.893 * * [simplify]: Extracting #5: cost 150 inf + 30122 217.916 * * [simplify]: Extracting #6: cost 24 inf + 120115 217.948 * * [simplify]: Extracting #7: cost 0 inf + 138973 217.981 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 217.981 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 217.981 * * * * [progress]: [ 339 / 471 ] simplifiying candidate # 217.982 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) 1) 217.982 * * [simplify]: iters left: 6 (9 enodes) 217.987 * * [simplify]: iters left: 5 (36 enodes) 218.000 * * [simplify]: iters left: 4 (62 enodes) 218.020 * * [simplify]: iters left: 3 (97 enodes) 218.050 * * [simplify]: iters left: 2 (166 enodes) 218.083 * * [simplify]: iters left: 1 (318 enodes) 218.219 * * [simplify]: Extracting #0: cost 1 inf + 0 218.219 * * [simplify]: Extracting #1: cost 5 inf + 0 218.220 * * [simplify]: Extracting #2: cost 32 inf + 1 218.220 * * [simplify]: Extracting #3: cost 108 inf + 3 218.221 * * [simplify]: Extracting #4: cost 136 inf + 9 218.223 * * [simplify]: Extracting #5: cost 126 inf + 840 218.226 * * [simplify]: Extracting #6: cost 71 inf + 8367 218.239 * * [simplify]: Extracting #7: cost 16 inf + 41694 218.255 * * [simplify]: Extracting #8: cost 0 inf + 54569 218.271 * * [simplify]: Extracting #9: cost 0 inf + 54188 218.286 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 218.286 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 218.287 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 218.287 * * [simplify]: iters left: 6 (14 enodes) 218.295 * * [simplify]: iters left: 5 (58 enodes) 218.314 * * [simplify]: iters left: 4 (98 enodes) 218.345 * * [simplify]: iters left: 3 (161 enodes) 218.392 * * [simplify]: iters left: 2 (322 enodes) 218.506 * * [simplify]: Extracting #0: cost 1 inf + 0 218.506 * * [simplify]: Extracting #1: cost 44 inf + 0 218.507 * * [simplify]: Extracting #2: cost 148 inf + 0 218.508 * * [simplify]: Extracting #3: cost 207 inf + 85 218.512 * * [simplify]: Extracting #4: cost 189 inf + 10980 218.521 * * [simplify]: Extracting #5: cost 120 inf + 38444 218.545 * * [simplify]: Extracting #6: cost 22 inf + 114518 218.561 * * [simplify]: Extracting #7: cost 0 inf + 133156 218.579 * * [simplify]: Extracting #8: cost 0 inf + 132632 218.602 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 218.603 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) 1) (/ (* (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt k)))) 218.603 * * * * [progress]: [ 340 / 471 ] simplifiying candidate # 218.603 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 218.603 * * [simplify]: iters left: 6 (10 enodes) 218.606 * * [simplify]: iters left: 5 (41 enodes) 218.614 * * [simplify]: iters left: 4 (67 enodes) 218.626 * * [simplify]: iters left: 3 (102 enodes) 218.660 * * [simplify]: iters left: 2 (175 enodes) 218.715 * * [simplify]: iters left: 1 (330 enodes) 218.809 * * [simplify]: Extracting #0: cost 1 inf + 0 218.809 * * [simplify]: Extracting #1: cost 4 inf + 0 218.809 * * [simplify]: Extracting #2: cost 9 inf + 0 218.810 * * [simplify]: Extracting #3: cost 35 inf + 42 218.810 * * [simplify]: Extracting #4: cost 106 inf + 85 218.811 * * [simplify]: Extracting #5: cost 129 inf + 382 218.815 * * [simplify]: Extracting #6: cost 82 inf + 7717 218.822 * * [simplify]: Extracting #7: cost 48 inf + 15933 218.836 * * [simplify]: Extracting #8: cost 8 inf + 45024 218.855 * * [simplify]: Extracting #9: cost 0 inf + 50572 218.873 * * [simplify]: Extracting #10: cost 0 inf + 50411 218.891 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 218.891 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 218.892 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 218.892 * * [simplify]: iters left: 6 (13 enodes) 218.903 * * [simplify]: iters left: 5 (55 enodes) 218.922 * * [simplify]: iters left: 4 (91 enodes) 218.945 * * [simplify]: iters left: 3 (153 enodes) 218.975 * * [simplify]: iters left: 2 (296 enodes) 219.079 * * [simplify]: Extracting #0: cost 1 inf + 0 219.079 * * [simplify]: Extracting #1: cost 55 inf + 0 219.080 * * [simplify]: Extracting #2: cost 141 inf + 1 219.081 * * [simplify]: Extracting #3: cost 188 inf + 3 219.083 * * [simplify]: Extracting #4: cost 212 inf + 96 219.085 * * [simplify]: Extracting #5: cost 184 inf + 5299 219.092 * * [simplify]: Extracting #6: cost 111 inf + 33007 219.118 * * [simplify]: Extracting #7: cost 19 inf + 101094 219.145 * * [simplify]: Extracting #8: cost 0 inf + 114105 219.172 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) 219.172 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) 219.172 * * * * [progress]: [ 341 / 471 ] simplifiying candidate # 219.173 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 219.173 * * [simplify]: iters left: 6 (15 enodes) 219.182 * * [simplify]: iters left: 5 (62 enodes) 219.205 * * [simplify]: iters left: 4 (112 enodes) 219.231 * * [simplify]: iters left: 3 (205 enodes) 219.280 * * [simplify]: iters left: 2 (379 enodes) 219.402 * * [simplify]: Extracting #0: cost 1 inf + 0 219.402 * * [simplify]: Extracting #1: cost 49 inf + 0 219.402 * * [simplify]: Extracting #2: cost 130 inf + 0 219.403 * * [simplify]: Extracting #3: cost 145 inf + 49 219.404 * * [simplify]: Extracting #4: cost 186 inf + 95 219.405 * * [simplify]: Extracting #5: cost 179 inf + 6727 219.411 * * [simplify]: Extracting #6: cost 64 inf + 58972 219.429 * * [simplify]: Extracting #7: cost 7 inf + 102833 219.458 * * [simplify]: Extracting #8: cost 0 inf + 107224 219.480 * * [simplify]: Extracting #9: cost 0 inf + 107054 219.492 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) 219.492 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))))) 219.492 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ k 2))) 219.492 * * [simplify]: iters left: 6 (13 enodes) 219.496 * * [simplify]: iters left: 5 (53 enodes) 219.504 * * [simplify]: iters left: 4 (85 enodes) 219.528 * * [simplify]: iters left: 3 (150 enodes) 219.586 * * [simplify]: iters left: 2 (297 enodes) 219.652 * * [simplify]: Extracting #0: cost 1 inf + 0 219.652 * * [simplify]: Extracting #1: cost 6 inf + 0 219.652 * * [simplify]: Extracting #2: cost 28 inf + 0 219.653 * * [simplify]: Extracting #3: cost 95 inf + 1 219.653 * * [simplify]: Extracting #4: cost 147 inf + 218 219.657 * * [simplify]: Extracting #5: cost 125 inf + 5141 219.663 * * [simplify]: Extracting #6: cost 53 inf + 24882 219.675 * * [simplify]: Extracting #7: cost 3 inf + 51318 219.687 * * [simplify]: Extracting #8: cost 0 inf + 52745 219.700 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))) 219.700 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (* 2 PI)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow (* 2 PI) (/ k 2))))) 219.700 * * * * [progress]: [ 342 / 471 ] simplifiying candidate # 219.700 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 219.701 * * [simplify]: iters left: 6 (13 enodes) 219.708 * * [simplify]: iters left: 5 (53 enodes) 219.726 * * [simplify]: iters left: 4 (82 enodes) 219.749 * * [simplify]: iters left: 3 (117 enodes) 219.769 * * [simplify]: iters left: 2 (191 enodes) 219.836 * * [simplify]: iters left: 1 (362 enodes) 219.965 * * [simplify]: Extracting #0: cost 1 inf + 0 219.965 * * [simplify]: Extracting #1: cost 6 inf + 0 219.965 * * [simplify]: Extracting #2: cost 9 inf + 1 219.965 * * [simplify]: Extracting #3: cost 14 inf + 1 219.965 * * [simplify]: Extracting #4: cost 43 inf + 1 219.965 * * [simplify]: Extracting #5: cost 133 inf + 3 219.966 * * [simplify]: Extracting #6: cost 158 inf + 840 219.968 * * [simplify]: Extracting #7: cost 102 inf + 13385 219.975 * * [simplify]: Extracting #8: cost 21 inf + 55759 219.994 * * [simplify]: Extracting #9: cost 0 inf + 71544 220.015 * * [simplify]: Extracting #10: cost 0 inf + 70887 220.036 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 220.036 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 220.036 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.036 * * [simplify]: iters left: 6 (14 enodes) 220.044 * * [simplify]: iters left: 5 (56 enodes) 220.062 * * [simplify]: iters left: 4 (90 enodes) 220.076 * * [simplify]: iters left: 3 (142 enodes) 220.111 * * [simplify]: iters left: 2 (258 enodes) 220.204 * * [simplify]: Extracting #0: cost 1 inf + 0 220.204 * * [simplify]: Extracting #1: cost 30 inf + 0 220.205 * * [simplify]: Extracting #2: cost 74 inf + 0 220.205 * * [simplify]: Extracting #3: cost 123 inf + 3 220.206 * * [simplify]: Extracting #4: cost 147 inf + 11 220.207 * * [simplify]: Extracting #5: cost 169 inf + 555 220.208 * * [simplify]: Extracting #6: cost 126 inf + 8188 220.213 * * [simplify]: Extracting #7: cost 48 inf + 46807 220.223 * * [simplify]: Extracting #8: cost 1 inf + 86529 220.233 * * [simplify]: Extracting #9: cost 0 inf + 86730 220.249 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 220.250 * * * * [progress]: [ 343 / 471 ] simplifiying candidate # 220.250 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.250 * * [simplify]: iters left: 6 (12 enodes) 220.257 * * [simplify]: iters left: 5 (48 enodes) 220.274 * * [simplify]: iters left: 4 (71 enodes) 220.291 * * [simplify]: iters left: 3 (111 enodes) 220.315 * * [simplify]: iters left: 2 (205 enodes) 220.372 * * [simplify]: iters left: 1 (382 enodes) 220.552 * * [simplify]: Extracting #0: cost 1 inf + 0 220.552 * * [simplify]: Extracting #1: cost 4 inf + 0 220.552 * * [simplify]: Extracting #2: cost 5 inf + 1 220.552 * * [simplify]: Extracting #3: cost 10 inf + 1 220.553 * * [simplify]: Extracting #4: cost 43 inf + 1 220.553 * * [simplify]: Extracting #5: cost 128 inf + 3 220.555 * * [simplify]: Extracting #6: cost 153 inf + 2121 220.561 * * [simplify]: Extracting #7: cost 89 inf + 15572 220.574 * * [simplify]: Extracting #8: cost 32 inf + 42179 220.594 * * [simplify]: Extracting #9: cost 0 inf + 69596 220.614 * * [simplify]: Extracting #10: cost 0 inf + 67467 220.633 * * [simplify]: Extracting #11: cost 0 inf + 67387 220.653 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 220.653 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.654 * * [simplify]: iters left: 6 (14 enodes) 220.661 * * [simplify]: iters left: 5 (56 enodes) 220.677 * * [simplify]: iters left: 4 (90 enodes) 220.693 * * [simplify]: iters left: 3 (142 enodes) 220.733 * * [simplify]: iters left: 2 (258 enodes) 220.824 * * [simplify]: Extracting #0: cost 1 inf + 0 220.824 * * [simplify]: Extracting #1: cost 30 inf + 0 220.824 * * [simplify]: Extracting #2: cost 74 inf + 0 220.825 * * [simplify]: Extracting #3: cost 123 inf + 3 220.825 * * [simplify]: Extracting #4: cost 147 inf + 11 220.826 * * [simplify]: Extracting #5: cost 169 inf + 555 220.827 * * [simplify]: Extracting #6: cost 126 inf + 8068 220.832 * * [simplify]: Extracting #7: cost 48 inf + 46127 220.851 * * [simplify]: Extracting #8: cost 1 inf + 85049 220.870 * * [simplify]: Extracting #9: cost 0 inf + 85250 220.886 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 220.887 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 220.887 * * * * [progress]: [ 344 / 471 ] simplifiying candidate # 220.887 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 220.887 * * [simplify]: iters left: 6 (11 enodes) 220.890 * * [simplify]: iters left: 5 (48 enodes) 220.899 * * [simplify]: iters left: 4 (88 enodes) 220.919 * * [simplify]: iters left: 3 (175 enodes) 220.983 * * [simplify]: iters left: 2 (442 enodes) 221.274 * * [simplify]: Extracting #0: cost 1 inf + 0 221.274 * * [simplify]: Extracting #1: cost 96 inf + 0 221.275 * * [simplify]: Extracting #2: cost 271 inf + 1 221.276 * * [simplify]: Extracting #3: cost 327 inf + 4 221.278 * * [simplify]: Extracting #4: cost 310 inf + 3958 221.283 * * [simplify]: Extracting #5: cost 227 inf + 33530 221.300 * * [simplify]: Extracting #6: cost 61 inf + 142919 221.355 * * [simplify]: Extracting #7: cost 0 inf + 187472 221.405 * * [simplify]: Extracting #8: cost 0 inf + 187350 221.456 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 221.456 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 221.457 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 221.457 * * [simplify]: iters left: 6 (13 enodes) 221.465 * * [simplify]: iters left: 5 (54 enodes) 221.486 * * [simplify]: iters left: 4 (97 enodes) 221.519 * * [simplify]: iters left: 3 (190 enodes) 221.599 * * [simplify]: Extracting #0: cost 1 inf + 0 221.600 * * [simplify]: Extracting #1: cost 38 inf + 0 221.600 * * [simplify]: Extracting #2: cost 128 inf + 0 221.601 * * [simplify]: Extracting #3: cost 160 inf + 3 221.602 * * [simplify]: Extracting #4: cost 150 inf + 1134 221.606 * * [simplify]: Extracting #5: cost 103 inf + 16779 221.619 * * [simplify]: Extracting #6: cost 17 inf + 68912 221.628 * * [simplify]: Extracting #7: cost 0 inf + 79691 221.637 * * [simplify]: Extracting #8: cost 0 inf + 79273 221.646 * * [simplify]: Extracting #9: cost 0 inf + 79272 221.663 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 221.663 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 221.663 * * * * [progress]: [ 345 / 471 ] simplifiying candidate # 221.664 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 221.664 * * [simplify]: iters left: 6 (15 enodes) 221.671 * * [simplify]: iters left: 5 (65 enodes) 221.682 * * [simplify]: iters left: 4 (119 enodes) 221.706 * * [simplify]: iters left: 3 (189 enodes) 221.748 * * [simplify]: iters left: 2 (317 enodes) 221.861 * * [simplify]: iters left: 1 (494 enodes) 222.043 * * [simplify]: Extracting #0: cost 1 inf + 0 222.043 * * [simplify]: Extracting #1: cost 16 inf + 0 222.043 * * [simplify]: Extracting #2: cost 30 inf + 1 222.043 * * [simplify]: Extracting #3: cost 54 inf + 1 222.044 * * [simplify]: Extracting #4: cost 125 inf + 3 222.046 * * [simplify]: Extracting #5: cost 163 inf + 702 222.049 * * [simplify]: Extracting #6: cost 115 inf + 7354 222.061 * * [simplify]: Extracting #7: cost 37 inf + 45521 222.073 * * [simplify]: Extracting #8: cost 1 inf + 68806 222.083 * * [simplify]: Extracting #9: cost 0 inf + 69219 222.094 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) 222.094 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 222.095 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 222.095 * * [simplify]: iters left: 6 (15 enodes) 222.103 * * [simplify]: iters left: 5 (61 enodes) 222.123 * * [simplify]: iters left: 4 (100 enodes) 222.161 * * [simplify]: iters left: 3 (172 enodes) 222.223 * * [simplify]: iters left: 2 (347 enodes) 222.357 * * [simplify]: Extracting #0: cost 1 inf + 0 222.357 * * [simplify]: Extracting #1: cost 60 inf + 0 222.358 * * [simplify]: Extracting #2: cost 175 inf + 0 222.359 * * [simplify]: Extracting #3: cost 240 inf + 3 222.360 * * [simplify]: Extracting #4: cost 248 inf + 4260 222.363 * * [simplify]: Extracting #5: cost 175 inf + 29528 222.378 * * [simplify]: Extracting #6: cost 95 inf + 83696 222.415 * * [simplify]: Extracting #7: cost 18 inf + 150773 222.452 * * [simplify]: Extracting #8: cost 0 inf + 166765 222.479 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 222.479 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 222.479 * * * * [progress]: [ 346 / 471 ] simplifiying candidate # 222.480 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 222.480 * * [simplify]: iters left: 6 (14 enodes) 222.484 * * [simplify]: iters left: 5 (58 enodes) 222.494 * * [simplify]: iters left: 4 (96 enodes) 222.514 * * [simplify]: iters left: 3 (142 enodes) 222.554 * * [simplify]: iters left: 2 (236 enodes) 222.621 * * [simplify]: iters left: 1 (399 enodes) 222.737 * * [simplify]: Extracting #0: cost 1 inf + 0 222.737 * * [simplify]: Extracting #1: cost 11 inf + 0 222.737 * * [simplify]: Extracting #2: cost 21 inf + 1 222.737 * * [simplify]: Extracting #3: cost 48 inf + 1 222.738 * * [simplify]: Extracting #4: cost 121 inf + 3 222.738 * * [simplify]: Extracting #5: cost 145 inf + 662 222.740 * * [simplify]: Extracting #6: cost 96 inf + 8474 222.749 * * [simplify]: Extracting #7: cost 7 inf + 55299 222.768 * * [simplify]: Extracting #8: cost 0 inf + 61009 222.781 * * [simplify]: Extracting #9: cost 0 inf + 59810 222.793 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 222.793 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 222.794 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 222.794 * * [simplify]: iters left: 6 (15 enodes) 222.798 * * [simplify]: iters left: 5 (61 enodes) 222.811 * * [simplify]: iters left: 4 (101 enodes) 222.842 * * [simplify]: iters left: 3 (173 enodes) 222.899 * * [simplify]: iters left: 2 (344 enodes) 223.387 * * [simplify]: Extracting #0: cost 1 inf + 0 223.387 * * [simplify]: Extracting #1: cost 60 inf + 0 223.388 * * [simplify]: Extracting #2: cost 170 inf + 0 223.388 * * [simplify]: Extracting #3: cost 242 inf + 3 223.390 * * [simplify]: Extracting #4: cost 231 inf + 9027 223.397 * * [simplify]: Extracting #5: cost 112 inf + 71536 223.425 * * [simplify]: Extracting #6: cost 12 inf + 151552 223.464 * * [simplify]: Extracting #7: cost 0 inf + 160770 223.496 * * [simplify]: Extracting #8: cost 0 inf + 160639 223.517 * * [simplify]: Extracting #9: cost 0 inf + 160549 223.553 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 223.553 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 223.553 * * * * [progress]: [ 347 / 471 ] simplifiying candidate # 223.553 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 223.553 * * [simplify]: iters left: 6 (7 enodes) 223.555 * * [simplify]: iters left: 5 (25 enodes) 223.560 * * [simplify]: iters left: 4 (38 enodes) 223.565 * * [simplify]: iters left: 3 (41 enodes) 223.570 * * [simplify]: iters left: 2 (42 enodes) 223.575 * * [simplify]: Extracting #0: cost 1 inf + 0 223.575 * * [simplify]: Extracting #1: cost 6 inf + 0 223.575 * * [simplify]: Extracting #2: cost 9 inf + 1 223.575 * * [simplify]: Extracting #3: cost 11 inf + 1 223.575 * * [simplify]: Extracting #4: cost 10 inf + 2 223.575 * * [simplify]: Extracting #5: cost 2 inf + 1093 223.576 * * [simplify]: Extracting #6: cost 0 inf + 1376 223.576 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 223.576 * [simplify]: Simplified (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)))))) 223.576 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 223.576 * * [simplify]: iters left: 6 (14 enodes) 223.580 * * [simplify]: iters left: 5 (58 enodes) 223.596 * * [simplify]: iters left: 4 (101 enodes) 223.631 * * [simplify]: iters left: 3 (190 enodes) 223.707 * * [simplify]: iters left: 2 (495 enodes) 223.960 * * [simplify]: Extracting #0: cost 1 inf + 0 223.960 * * [simplify]: Extracting #1: cost 116 inf + 0 223.963 * * [simplify]: Extracting #2: cost 501 inf + 0 223.968 * * [simplify]: Extracting #3: cost 608 inf + 3 223.973 * * [simplify]: Extracting #4: cost 592 inf + 2948 223.986 * * [simplify]: Extracting #5: cost 476 inf + 54356 224.048 * * [simplify]: Extracting #6: cost 128 inf + 333162 224.114 * * [simplify]: Extracting #7: cost 0 inf + 446913 224.192 * * [simplify]: Extracting #8: cost 0 inf + 440387 224.259 * * [simplify]: Extracting #9: cost 0 inf + 440095 224.317 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))) 224.317 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))))) 224.317 * * * * [progress]: [ 348 / 471 ] simplifiying candidate # 224.317 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 224.317 * * [simplify]: iters left: 6 (14 enodes) 224.322 * * [simplify]: iters left: 5 (61 enodes) 224.333 * * [simplify]: iters left: 4 (111 enodes) 224.372 * * [simplify]: iters left: 3 (216 enodes) 224.453 * * [simplify]: Extracting #0: cost 1 inf + 0 224.453 * * [simplify]: Extracting #1: cost 32 inf + 0 224.454 * * [simplify]: Extracting #2: cost 99 inf + 1 224.455 * * [simplify]: Extracting #3: cost 136 inf + 2 224.456 * * [simplify]: Extracting #4: cost 128 inf + 1470 224.458 * * [simplify]: Extracting #5: cost 88 inf + 6237 224.464 * * [simplify]: Extracting #6: cost 45 inf + 23788 224.471 * * [simplify]: Extracting #7: cost 3 inf + 52070 224.479 * * [simplify]: Extracting #8: cost 0 inf + 54340 224.487 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 224.487 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 224.487 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 224.487 * * [simplify]: iters left: 6 (15 enodes) 224.492 * * [simplify]: iters left: 5 (64 enodes) 224.516 * * [simplify]: iters left: 4 (111 enodes) 224.538 * * [simplify]: iters left: 3 (218 enodes) 224.622 * * [simplify]: Extracting #0: cost 1 inf + 0 224.623 * * [simplify]: Extracting #1: cost 38 inf + 0 224.623 * * [simplify]: Extracting #2: cost 127 inf + 0 224.625 * * [simplify]: Extracting #3: cost 171 inf + 2 224.626 * * [simplify]: Extracting #4: cost 159 inf + 1129 224.631 * * [simplify]: Extracting #5: cost 95 inf + 20733 224.645 * * [simplify]: Extracting #6: cost 14 inf + 72991 224.664 * * [simplify]: Extracting #7: cost 0 inf + 83475 224.676 * * [simplify]: Extracting #8: cost 0 inf + 83129 224.686 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 224.686 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 224.686 * * * * [progress]: [ 349 / 471 ] simplifiying candidate # 224.686 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 224.686 * * [simplify]: iters left: 6 (11 enodes) 224.690 * * [simplify]: iters left: 5 (47 enodes) 224.705 * * [simplify]: iters left: 4 (77 enodes) 224.732 * * [simplify]: iters left: 3 (132 enodes) 224.783 * * [simplify]: iters left: 2 (289 enodes) 224.876 * * [simplify]: Extracting #0: cost 1 inf + 0 224.876 * * [simplify]: Extracting #1: cost 41 inf + 0 224.877 * * [simplify]: Extracting #2: cost 120 inf + 1 224.878 * * [simplify]: Extracting #3: cost 165 inf + 4 224.879 * * [simplify]: Extracting #4: cost 156 inf + 2112 224.885 * * [simplify]: Extracting #5: cost 103 inf + 16078 224.901 * * [simplify]: Extracting #6: cost 21 inf + 62870 224.925 * * [simplify]: Extracting #7: cost 0 inf + 75530 224.948 * * [simplify]: Extracting #8: cost 0 inf + 74241 224.971 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 224.971 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 224.971 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 224.971 * * [simplify]: iters left: 6 (13 enodes) 224.982 * * [simplify]: iters left: 5 (54 enodes) 225.002 * * [simplify]: iters left: 4 (97 enodes) 225.036 * * [simplify]: iters left: 3 (190 enodes) 225.124 * * [simplify]: Extracting #0: cost 1 inf + 0 225.124 * * [simplify]: Extracting #1: cost 38 inf + 0 225.124 * * [simplify]: Extracting #2: cost 128 inf + 0 225.125 * * [simplify]: Extracting #3: cost 160 inf + 3 225.125 * * [simplify]: Extracting #4: cost 150 inf + 1174 225.127 * * [simplify]: Extracting #5: cost 103 inf + 16859 225.133 * * [simplify]: Extracting #6: cost 17 inf + 68992 225.142 * * [simplify]: Extracting #7: cost 0 inf + 79771 225.152 * * [simplify]: Extracting #8: cost 0 inf + 79353 225.170 * * [simplify]: Extracting #9: cost 0 inf + 79352 225.188 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 225.188 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 225.188 * * * * [progress]: [ 350 / 471 ] simplifiying candidate # 225.189 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 225.189 * * [simplify]: iters left: 6 (15 enodes) 225.197 * * [simplify]: iters left: 5 (62 enodes) 225.218 * * [simplify]: iters left: 4 (98 enodes) 225.251 * * [simplify]: iters left: 3 (139 enodes) 225.298 * * [simplify]: iters left: 2 (222 enodes) 225.361 * * [simplify]: iters left: 1 (391 enodes) 225.528 * * [simplify]: Extracting #0: cost 1 inf + 0 225.528 * * [simplify]: Extracting #1: cost 10 inf + 0 225.528 * * [simplify]: Extracting #2: cost 19 inf + 1 225.528 * * [simplify]: Extracting #3: cost 46 inf + 1 225.529 * * [simplify]: Extracting #4: cost 114 inf + 3 225.530 * * [simplify]: Extracting #5: cost 156 inf + 499 225.533 * * [simplify]: Extracting #6: cost 102 inf + 8582 225.545 * * [simplify]: Extracting #7: cost 22 inf + 45581 225.556 * * [simplify]: Extracting #8: cost 0 inf + 63172 225.564 * * [simplify]: Extracting #9: cost 0 inf + 62681 225.573 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) 225.573 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 225.574 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 225.574 * * [simplify]: iters left: 6 (15 enodes) 225.585 * * [simplify]: iters left: 5 (61 enodes) 225.606 * * [simplify]: iters left: 4 (100 enodes) 225.624 * * [simplify]: iters left: 3 (172 enodes) 225.665 * * [simplify]: iters left: 2 (347 enodes) 225.772 * * [simplify]: Extracting #0: cost 1 inf + 0 225.772 * * [simplify]: Extracting #1: cost 60 inf + 0 225.773 * * [simplify]: Extracting #2: cost 175 inf + 0 225.778 * * [simplify]: Extracting #3: cost 240 inf + 3 225.781 * * [simplify]: Extracting #4: cost 248 inf + 4340 225.788 * * [simplify]: Extracting #5: cost 175 inf + 29608 225.800 * * [simplify]: Extracting #6: cost 95 inf + 83776 225.816 * * [simplify]: Extracting #7: cost 18 inf + 150853 225.844 * * [simplify]: Extracting #8: cost 0 inf + 166845 225.875 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 225.875 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 225.875 * * * * [progress]: [ 351 / 471 ] simplifiying candidate # 225.876 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 225.876 * * [simplify]: iters left: 6 (14 enodes) 225.880 * * [simplify]: iters left: 5 (57 enodes) 225.892 * * [simplify]: iters left: 4 (88 enodes) 225.909 * * [simplify]: iters left: 3 (121 enodes) 225.952 * * [simplify]: iters left: 2 (202 enodes) 226.030 * * [simplify]: iters left: 1 (355 enodes) 226.147 * * [simplify]: Extracting #0: cost 1 inf + 0 226.147 * * [simplify]: Extracting #1: cost 7 inf + 0 226.147 * * [simplify]: Extracting #2: cost 14 inf + 1 226.147 * * [simplify]: Extracting #3: cost 43 inf + 1 226.148 * * [simplify]: Extracting #4: cost 120 inf + 3 226.149 * * [simplify]: Extracting #5: cost 144 inf + 621 226.152 * * [simplify]: Extracting #6: cost 109 inf + 4970 226.159 * * [simplify]: Extracting #7: cost 51 inf + 20799 226.166 * * [simplify]: Extracting #8: cost 23 inf + 37452 226.174 * * [simplify]: Extracting #9: cost 0 inf + 55170 226.183 * * [simplify]: Extracting #10: cost 0 inf + 55090 226.195 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) 226.195 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 226.196 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 226.196 * * [simplify]: iters left: 6 (15 enodes) 226.204 * * [simplify]: iters left: 5 (61 enodes) 226.222 * * [simplify]: iters left: 4 (101 enodes) 226.239 * * [simplify]: iters left: 3 (173 enodes) 226.281 * * [simplify]: iters left: 2 (344 enodes) 226.392 * * [simplify]: Extracting #0: cost 1 inf + 0 226.392 * * [simplify]: Extracting #1: cost 60 inf + 0 226.393 * * [simplify]: Extracting #2: cost 170 inf + 0 226.394 * * [simplify]: Extracting #3: cost 242 inf + 3 226.395 * * [simplify]: Extracting #4: cost 231 inf + 9107 226.403 * * [simplify]: Extracting #5: cost 112 inf + 71616 226.434 * * [simplify]: Extracting #6: cost 12 inf + 151632 226.457 * * [simplify]: Extracting #7: cost 0 inf + 160850 226.477 * * [simplify]: Extracting #8: cost 0 inf + 160719 226.501 * * [simplify]: Extracting #9: cost 0 inf + 160629 226.541 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))) 226.541 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 2)))))) 226.542 * * * * [progress]: [ 352 / 471 ] simplifiying candidate # 226.542 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 226.542 * * [simplify]: iters left: 6 (7 enodes) 226.546 * * [simplify]: iters left: 5 (23 enodes) 226.553 * * [simplify]: iters left: 4 (29 enodes) 226.557 * * [simplify]: Extracting #0: cost 1 inf + 0 226.558 * * [simplify]: Extracting #1: cost 4 inf + 0 226.558 * * [simplify]: Extracting #2: cost 6 inf + 1 226.558 * * [simplify]: Extracting #3: cost 9 inf + 1 226.558 * * [simplify]: Extracting #4: cost 8 inf + 2 226.558 * * [simplify]: Extracting #5: cost 2 inf + 689 226.558 * * [simplify]: Extracting #6: cost 0 inf + 972 226.558 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 226.558 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 226.558 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 226.559 * * [simplify]: iters left: 6 (14 enodes) 226.563 * * [simplify]: iters left: 5 (58 enodes) 226.573 * * [simplify]: iters left: 4 (101 enodes) 226.598 * * [simplify]: iters left: 3 (190 enodes) 226.656 * * [simplify]: iters left: 2 (495 enodes) 226.941 * * [simplify]: Extracting #0: cost 1 inf + 0 226.942 * * [simplify]: Extracting #1: cost 116 inf + 0 226.945 * * [simplify]: Extracting #2: cost 501 inf + 0 226.949 * * [simplify]: Extracting #3: cost 608 inf + 3 226.955 * * [simplify]: Extracting #4: cost 592 inf + 3028 226.967 * * [simplify]: Extracting #5: cost 476 inf + 54436 227.023 * * [simplify]: Extracting #6: cost 128 inf + 333242 227.122 * * [simplify]: Extracting #7: cost 0 inf + 446993 227.223 * * [simplify]: Extracting #8: cost 0 inf + 440467 227.297 * * [simplify]: Extracting #9: cost 0 inf + 440175 227.386 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))) 227.386 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (cbrt k)))))) 227.386 * * * * [progress]: [ 353 / 471 ] simplifiying candidate # 227.387 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 227.387 * * [simplify]: iters left: 6 (14 enodes) 227.396 * * [simplify]: iters left: 5 (60 enodes) 227.419 * * [simplify]: iters left: 4 (97 enodes) 227.451 * * [simplify]: iters left: 3 (160 enodes) 227.483 * * [simplify]: iters left: 2 (322 enodes) 227.558 * * [simplify]: Extracting #0: cost 1 inf + 0 227.559 * * [simplify]: Extracting #1: cost 39 inf + 0 227.559 * * [simplify]: Extracting #2: cost 117 inf + 1 227.560 * * [simplify]: Extracting #3: cost 177 inf + 3 227.561 * * [simplify]: Extracting #4: cost 179 inf + 874 227.566 * * [simplify]: Extracting #5: cost 115 inf + 17138 227.572 * * [simplify]: Extracting #6: cost 55 inf + 40183 227.582 * * [simplify]: Extracting #7: cost 6 inf + 78338 227.594 * * [simplify]: Extracting #8: cost 0 inf + 83094 227.605 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (fabs (cbrt k))) 227.606 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (- 1/4 (/ k 4))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 227.606 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 227.606 * * [simplify]: iters left: 6 (15 enodes) 227.611 * * [simplify]: iters left: 5 (64 enodes) 227.631 * * [simplify]: iters left: 4 (111 enodes) 227.673 * * [simplify]: iters left: 3 (218 enodes) 227.729 * * [simplify]: Extracting #0: cost 1 inf + 0 227.729 * * [simplify]: Extracting #1: cost 38 inf + 0 227.730 * * [simplify]: Extracting #2: cost 127 inf + 0 227.730 * * [simplify]: Extracting #3: cost 171 inf + 2 227.731 * * [simplify]: Extracting #4: cost 159 inf + 1169 227.733 * * [simplify]: Extracting #5: cost 95 inf + 20813 227.741 * * [simplify]: Extracting #6: cost 14 inf + 73071 227.752 * * [simplify]: Extracting #7: cost 0 inf + 83555 227.768 * * [simplify]: Extracting #8: cost 0 inf + 83209 227.777 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 227.777 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 227.777 * * * * [progress]: [ 354 / 471 ] simplifiying candidate # 227.778 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 227.778 * * [simplify]: iters left: 6 (10 enodes) 227.781 * * [simplify]: iters left: 5 (43 enodes) 227.789 * * [simplify]: iters left: 4 (73 enodes) 227.805 * * [simplify]: iters left: 3 (125 enodes) 227.832 * * [simplify]: iters left: 2 (279 enodes) 227.970 * * [simplify]: Extracting #0: cost 1 inf + 0 227.970 * * [simplify]: Extracting #1: cost 45 inf + 0 227.971 * * [simplify]: Extracting #2: cost 125 inf + 1 227.972 * * [simplify]: Extracting #3: cost 166 inf + 4 227.973 * * [simplify]: Extracting #4: cost 157 inf + 2375 227.975 * * [simplify]: Extracting #5: cost 98 inf + 17640 227.983 * * [simplify]: Extracting #6: cost 12 inf + 68280 227.993 * * [simplify]: Extracting #7: cost 0 inf + 76078 228.003 * * [simplify]: Extracting #8: cost 0 inf + 75957 228.013 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 228.013 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 228.013 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 228.013 * * [simplify]: iters left: 6 (13 enodes) 228.017 * * [simplify]: iters left: 5 (54 enodes) 228.027 * * [simplify]: iters left: 4 (97 enodes) 228.046 * * [simplify]: iters left: 3 (190 enodes) 228.136 * * [simplify]: Extracting #0: cost 1 inf + 0 228.136 * * [simplify]: Extracting #1: cost 38 inf + 0 228.137 * * [simplify]: Extracting #2: cost 128 inf + 0 228.137 * * [simplify]: Extracting #3: cost 160 inf + 3 228.139 * * [simplify]: Extracting #4: cost 150 inf + 1094 228.142 * * [simplify]: Extracting #5: cost 103 inf + 16179 228.154 * * [simplify]: Extracting #6: cost 17 inf + 66872 228.172 * * [simplify]: Extracting #7: cost 0 inf + 77171 228.189 * * [simplify]: Extracting #8: cost 0 inf + 76753 228.210 * * [simplify]: Extracting #9: cost 0 inf + 76752 228.227 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 228.227 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 228.228 * * * * [progress]: [ 355 / 471 ] simplifiying candidate # 228.228 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 228.228 * * [simplify]: iters left: 6 (14 enodes) 228.236 * * [simplify]: iters left: 5 (58 enodes) 228.246 * * [simplify]: iters left: 4 (94 enodes) 228.261 * * [simplify]: iters left: 3 (135 enodes) 228.303 * * [simplify]: iters left: 2 (218 enodes) 228.355 * * [simplify]: iters left: 1 (385 enodes) 228.506 * * [simplify]: Extracting #0: cost 1 inf + 0 228.506 * * [simplify]: Extracting #1: cost 10 inf + 0 228.506 * * [simplify]: Extracting #2: cost 18 inf + 1 228.506 * * [simplify]: Extracting #3: cost 45 inf + 1 228.507 * * [simplify]: Extracting #4: cost 114 inf + 3 228.507 * * [simplify]: Extracting #5: cost 157 inf + 420 228.509 * * [simplify]: Extracting #6: cost 102 inf + 9171 228.514 * * [simplify]: Extracting #7: cost 35 inf + 34426 228.522 * * [simplify]: Extracting #8: cost 4 inf + 58588 228.531 * * [simplify]: Extracting #9: cost 0 inf + 62306 228.540 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 228.540 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 228.540 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 228.541 * * [simplify]: iters left: 6 (15 enodes) 228.545 * * [simplify]: iters left: 5 (61 enodes) 228.560 * * [simplify]: iters left: 4 (100 enodes) 228.577 * * [simplify]: iters left: 3 (172 enodes) 228.612 * * [simplify]: iters left: 2 (347 enodes) 228.694 * * [simplify]: Extracting #0: cost 1 inf + 0 228.695 * * [simplify]: Extracting #1: cost 60 inf + 0 228.695 * * [simplify]: Extracting #2: cost 175 inf + 0 228.696 * * [simplify]: Extracting #3: cost 240 inf + 3 228.698 * * [simplify]: Extracting #4: cost 248 inf + 4140 228.702 * * [simplify]: Extracting #5: cost 175 inf + 28688 228.717 * * [simplify]: Extracting #6: cost 95 inf + 81416 228.739 * * [simplify]: Extracting #7: cost 18 inf + 147133 228.762 * * [simplify]: Extracting #8: cost 0 inf + 162845 228.797 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 228.797 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 228.798 * * * * [progress]: [ 356 / 471 ] simplifiying candidate # 228.798 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 228.798 * * [simplify]: iters left: 6 (13 enodes) 228.806 * * [simplify]: iters left: 5 (53 enodes) 228.822 * * [simplify]: iters left: 4 (84 enodes) 228.843 * * [simplify]: iters left: 3 (121 enodes) 228.865 * * [simplify]: iters left: 2 (203 enodes) 228.937 * * [simplify]: iters left: 1 (358 enodes) 229.096 * * [simplify]: Extracting #0: cost 1 inf + 0 229.097 * * [simplify]: Extracting #1: cost 7 inf + 0 229.097 * * [simplify]: Extracting #2: cost 13 inf + 1 229.097 * * [simplify]: Extracting #3: cost 41 inf + 1 229.097 * * [simplify]: Extracting #4: cost 111 inf + 3 229.098 * * [simplify]: Extracting #5: cost 141 inf + 585 229.099 * * [simplify]: Extracting #6: cost 105 inf + 5244 229.103 * * [simplify]: Extracting #7: cost 42 inf + 23597 229.113 * * [simplify]: Extracting #8: cost 6 inf + 51529 229.121 * * [simplify]: Extracting #9: cost 0 inf + 56307 229.134 * * [simplify]: Extracting #10: cost 0 inf + 55925 229.146 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 229.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 229.146 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 229.146 * * [simplify]: iters left: 6 (15 enodes) 229.150 * * [simplify]: iters left: 5 (61 enodes) 229.161 * * [simplify]: iters left: 4 (101 enodes) 229.184 * * [simplify]: iters left: 3 (173 enodes) 229.250 * * [simplify]: iters left: 2 (344 enodes) 229.382 * * [simplify]: Extracting #0: cost 1 inf + 0 229.382 * * [simplify]: Extracting #1: cost 60 inf + 0 229.383 * * [simplify]: Extracting #2: cost 170 inf + 0 229.383 * * [simplify]: Extracting #3: cost 242 inf + 3 229.385 * * [simplify]: Extracting #4: cost 231 inf + 8787 229.393 * * [simplify]: Extracting #5: cost 112 inf + 69376 229.420 * * [simplify]: Extracting #6: cost 12 inf + 147832 229.460 * * [simplify]: Extracting #7: cost 0 inf + 156850 229.504 * * [simplify]: Extracting #8: cost 0 inf + 156719 229.534 * * [simplify]: Extracting #9: cost 0 inf + 156629 229.558 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 229.558 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 229.558 * * * * [progress]: [ 357 / 471 ] simplifiying candidate # 229.559 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 229.559 * * [simplify]: iters left: 6 (6 enodes) 229.562 * * [simplify]: iters left: 5 (20 enodes) 229.569 * * [simplify]: iters left: 4 (24 enodes) 229.576 * * [simplify]: Extracting #0: cost 1 inf + 0 229.576 * * [simplify]: Extracting #1: cost 4 inf + 0 229.576 * * [simplify]: Extracting #2: cost 5 inf + 1 229.576 * * [simplify]: Extracting #3: cost 7 inf + 1 229.576 * * [simplify]: Extracting #4: cost 6 inf + 2 229.576 * * [simplify]: Extracting #5: cost 0 inf + 490 229.576 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 229.576 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 229.577 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 229.577 * * [simplify]: iters left: 6 (14 enodes) 229.585 * * [simplify]: iters left: 5 (58 enodes) 229.595 * * [simplify]: iters left: 4 (101 enodes) 229.615 * * [simplify]: iters left: 3 (190 enodes) 229.662 * * [simplify]: iters left: 2 (495 enodes) 229.923 * * [simplify]: Extracting #0: cost 1 inf + 0 229.923 * * [simplify]: Extracting #1: cost 116 inf + 0 229.926 * * [simplify]: Extracting #2: cost 501 inf + 0 229.930 * * [simplify]: Extracting #3: cost 608 inf + 3 229.936 * * [simplify]: Extracting #4: cost 592 inf + 2788 229.950 * * [simplify]: Extracting #5: cost 476 inf + 53196 229.986 * * [simplify]: Extracting #6: cost 128 inf + 326522 230.078 * * [simplify]: Extracting #7: cost 0 inf + 437353 230.179 * * [simplify]: Extracting #8: cost 0 inf + 430827 230.251 * * [simplify]: Extracting #9: cost 0 inf + 430535 230.333 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 230.333 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 230.334 * * * * [progress]: [ 358 / 471 ] simplifiying candidate # 230.334 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 230.334 * * [simplify]: iters left: 6 (13 enodes) 230.338 * * [simplify]: iters left: 5 (56 enodes) 230.349 * * [simplify]: iters left: 4 (93 enodes) 230.379 * * [simplify]: iters left: 3 (159 enodes) 230.420 * * [simplify]: iters left: 2 (339 enodes) 230.536 * * [simplify]: Extracting #0: cost 1 inf + 0 230.536 * * [simplify]: Extracting #1: cost 51 inf + 0 230.536 * * [simplify]: Extracting #2: cost 131 inf + 1 230.537 * * [simplify]: Extracting #3: cost 184 inf + 3 230.538 * * [simplify]: Extracting #4: cost 174 inf + 1916 230.540 * * [simplify]: Extracting #5: cost 116 inf + 16603 230.548 * * [simplify]: Extracting #6: cost 34 inf + 60410 230.565 * * [simplify]: Extracting #7: cost 2 inf + 83895 230.581 * * [simplify]: Extracting #8: cost 0 inf + 84413 230.593 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 230.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 230.593 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 230.593 * * [simplify]: iters left: 6 (15 enodes) 230.598 * * [simplify]: iters left: 5 (64 enodes) 230.621 * * [simplify]: iters left: 4 (111 enodes) 230.651 * * [simplify]: iters left: 3 (218 enodes) 230.727 * * [simplify]: Extracting #0: cost 1 inf + 0 230.728 * * [simplify]: Extracting #1: cost 38 inf + 0 230.728 * * [simplify]: Extracting #2: cost 127 inf + 0 230.729 * * [simplify]: Extracting #3: cost 171 inf + 2 230.731 * * [simplify]: Extracting #4: cost 159 inf + 1089 230.735 * * [simplify]: Extracting #5: cost 95 inf + 20173 230.750 * * [simplify]: Extracting #6: cost 14 inf + 70791 230.770 * * [simplify]: Extracting #7: cost 0 inf + 80955 230.790 * * [simplify]: Extracting #8: cost 0 inf + 80609 230.809 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 230.810 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 230.810 * * * * [progress]: [ 359 / 471 ] simplifiying candidate # 230.811 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 230.811 * * [simplify]: iters left: 6 (9 enodes) 230.817 * * [simplify]: iters left: 5 (40 enodes) 230.828 * * [simplify]: iters left: 4 (69 enodes) 230.840 * * [simplify]: iters left: 3 (110 enodes) 230.867 * * [simplify]: iters left: 2 (203 enodes) 230.961 * * [simplify]: iters left: 1 (442 enodes) 231.278 * * [simplify]: Extracting #0: cost 1 inf + 0 231.278 * * [simplify]: Extracting #1: cost 44 inf + 0 231.279 * * [simplify]: Extracting #2: cost 178 inf + 3 231.281 * * [simplify]: Extracting #3: cost 220 inf + 7 231.289 * * [simplify]: Extracting #4: cost 189 inf + 7044 231.310 * * [simplify]: Extracting #5: cost 43 inf + 80832 231.351 * * [simplify]: Extracting #6: cost 0 inf + 103760 231.372 * * [simplify]: Extracting #7: cost 0 inf + 102107 231.392 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 231.392 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 231.392 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 231.392 * * [simplify]: iters left: 6 (12 enodes) 231.396 * * [simplify]: iters left: 5 (51 enodes) 231.405 * * [simplify]: iters left: 4 (90 enodes) 231.423 * * [simplify]: iters left: 3 (181 enodes) 231.476 * * [simplify]: Extracting #0: cost 1 inf + 0 231.476 * * [simplify]: Extracting #1: cost 38 inf + 0 231.477 * * [simplify]: Extracting #2: cost 127 inf + 0 231.478 * * [simplify]: Extracting #3: cost 156 inf + 45 231.479 * * [simplify]: Extracting #4: cost 149 inf + 1928 231.484 * * [simplify]: Extracting #5: cost 91 inf + 21734 231.498 * * [simplify]: Extracting #6: cost 7 inf + 71818 231.518 * * [simplify]: Extracting #7: cost 0 inf + 75903 231.535 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 231.535 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 231.535 * * * * [progress]: [ 360 / 471 ] simplifiying candidate # 231.536 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 231.536 * * [simplify]: iters left: 6 (13 enodes) 231.544 * * [simplify]: iters left: 5 (55 enodes) 231.563 * * [simplify]: iters left: 4 (89 enodes) 231.582 * * [simplify]: iters left: 3 (131 enodes) 231.603 * * [simplify]: iters left: 2 (209 enodes) 231.660 * * [simplify]: iters left: 1 (377 enodes) 231.811 * * [simplify]: Extracting #0: cost 1 inf + 0 231.811 * * [simplify]: Extracting #1: cost 6 inf + 0 231.811 * * [simplify]: Extracting #2: cost 9 inf + 1 231.811 * * [simplify]: Extracting #3: cost 36 inf + 1 231.812 * * [simplify]: Extracting #4: cost 108 inf + 2 231.813 * * [simplify]: Extracting #5: cost 154 inf + 50 231.814 * * [simplify]: Extracting #6: cost 155 inf + 183 231.818 * * [simplify]: Extracting #7: cost 91 inf + 7767 231.830 * * [simplify]: Extracting #8: cost 34 inf + 39735 231.839 * * [simplify]: Extracting #9: cost 0 inf + 64909 231.849 * * [simplify]: Extracting #10: cost 0 inf + 64411 231.860 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) 231.861 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 231.861 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 231.861 * * [simplify]: iters left: 6 (14 enodes) 231.869 * * [simplify]: iters left: 5 (58 enodes) 231.889 * * [simplify]: iters left: 4 (97 enodes) 231.921 * * [simplify]: iters left: 3 (165 enodes) 231.985 * * [simplify]: iters left: 2 (334 enodes) 232.110 * * [simplify]: Extracting #0: cost 1 inf + 0 232.110 * * [simplify]: Extracting #1: cost 61 inf + 0 232.111 * * [simplify]: Extracting #2: cost 173 inf + 0 232.113 * * [simplify]: Extracting #3: cost 237 inf + 45 232.116 * * [simplify]: Extracting #4: cost 226 inf + 9063 232.125 * * [simplify]: Extracting #5: cost 155 inf + 40750 232.141 * * [simplify]: Extracting #6: cost 102 inf + 72390 232.171 * * [simplify]: Extracting #7: cost 19 inf + 143233 232.207 * * [simplify]: Extracting #8: cost 0 inf + 161480 232.248 * * [simplify]: Extracting #9: cost 0 inf + 161349 232.283 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 232.283 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 232.283 * * * * [progress]: [ 361 / 471 ] simplifiying candidate # 232.283 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 232.284 * * [simplify]: iters left: 6 (12 enodes) 232.292 * * [simplify]: iters left: 5 (50 enodes) 232.308 * * [simplify]: iters left: 4 (74 enodes) 232.330 * * [simplify]: iters left: 3 (111 enodes) 232.368 * * [simplify]: iters left: 2 (200 enodes) 232.441 * * [simplify]: iters left: 1 (361 enodes) 232.582 * * [simplify]: Extracting #0: cost 1 inf + 0 232.582 * * [simplify]: Extracting #1: cost 6 inf + 0 232.583 * * [simplify]: Extracting #2: cost 30 inf + 1 232.583 * * [simplify]: Extracting #3: cost 112 inf + 2 232.584 * * [simplify]: Extracting #4: cost 147 inf + 51 232.588 * * [simplify]: Extracting #5: cost 148 inf + 183 232.589 * * [simplify]: Extracting #6: cost 98 inf + 4856 232.593 * * [simplify]: Extracting #7: cost 47 inf + 21758 232.601 * * [simplify]: Extracting #8: cost 6 inf + 50231 232.616 * * [simplify]: Extracting #9: cost 0 inf + 54687 232.635 * * [simplify]: Extracting #10: cost 0 inf + 54564 232.654 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (* 1/2 (- 1 k)))) 232.654 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (* 1/2 (- 1 k)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 232.654 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 232.655 * * [simplify]: iters left: 6 (14 enodes) 232.663 * * [simplify]: iters left: 5 (58 enodes) 232.674 * * [simplify]: iters left: 4 (98 enodes) 232.690 * * [simplify]: iters left: 3 (166 enodes) 232.751 * * [simplify]: iters left: 2 (335 enodes) 232.877 * * [simplify]: Extracting #0: cost 1 inf + 0 232.877 * * [simplify]: Extracting #1: cost 66 inf + 0 232.878 * * [simplify]: Extracting #2: cost 183 inf + 0 232.879 * * [simplify]: Extracting #3: cost 250 inf + 45 232.882 * * [simplify]: Extracting #4: cost 243 inf + 6074 232.892 * * [simplify]: Extracting #5: cost 146 inf + 49131 232.912 * * [simplify]: Extracting #6: cost 81 inf + 89679 232.946 * * [simplify]: Extracting #7: cost 9 inf + 153685 232.989 * * [simplify]: Extracting #8: cost 0 inf + 161635 233.028 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 233.028 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 233.028 * * * * [progress]: [ 362 / 471 ] simplifiying candidate # 233.028 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) 1)) 233.028 * * [simplify]: iters left: 5 (4 enodes) 233.036 * * [simplify]: iters left: 4 (14 enodes) 233.039 * * [simplify]: iters left: 3 (16 enodes) 233.043 * * [simplify]: Extracting #0: cost 1 inf + 0 233.043 * * [simplify]: Extracting #1: cost 0 inf + 1 233.043 * [simplify]: Simplified to 1 233.043 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 233.043 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 233.044 * * [simplify]: iters left: 6 (13 enodes) 233.051 * * [simplify]: iters left: 5 (55 enodes) 233.070 * * [simplify]: iters left: 4 (98 enodes) 233.103 * * [simplify]: iters left: 3 (187 enodes) 233.175 * * [simplify]: Extracting #0: cost 1 inf + 0 233.175 * * [simplify]: Extracting #1: cost 38 inf + 0 233.176 * * [simplify]: Extracting #2: cost 129 inf + 0 233.176 * * [simplify]: Extracting #3: cost 161 inf + 44 233.177 * * [simplify]: Extracting #4: cost 144 inf + 1752 233.180 * * [simplify]: Extracting #5: cost 82 inf + 24648 233.190 * * [simplify]: Extracting #6: cost 10 inf + 71854 233.208 * * [simplify]: Extracting #7: cost 0 inf + 80166 233.226 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 233.226 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 233.226 * * * * [progress]: [ 363 / 471 ] simplifiying candidate # 233.226 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 233.226 * * [simplify]: iters left: 6 (12 enodes) 233.234 * * [simplify]: iters left: 5 (53 enodes) 233.253 * * [simplify]: iters left: 4 (85 enodes) 233.268 * * [simplify]: iters left: 3 (145 enodes) 233.296 * * [simplify]: iters left: 2 (289 enodes) 233.381 * * [simplify]: Extracting #0: cost 1 inf + 0 233.382 * * [simplify]: Extracting #1: cost 22 inf + 0 233.382 * * [simplify]: Extracting #2: cost 91 inf + 2 233.383 * * [simplify]: Extracting #3: cost 135 inf + 51 233.384 * * [simplify]: Extracting #4: cost 132 inf + 636 233.387 * * [simplify]: Extracting #5: cost 85 inf + 5561 233.393 * * [simplify]: Extracting #6: cost 26 inf + 31050 233.399 * * [simplify]: Extracting #7: cost 1 inf + 46787 233.406 * * [simplify]: Extracting #8: cost 0 inf + 47017 233.412 * [simplify]: Simplified to (pow (* 2 PI) (* 1/4 (- 1 k))) 233.412 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* 1/4 (- 1 k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 233.412 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 233.413 * * [simplify]: iters left: 6 (14 enodes) 233.423 * * [simplify]: iters left: 5 (61 enodes) 233.434 * * [simplify]: iters left: 4 (108 enodes) 233.459 * * [simplify]: iters left: 3 (215 enodes) 233.558 * * [simplify]: Extracting #0: cost 1 inf + 0 233.558 * * [simplify]: Extracting #1: cost 38 inf + 0 233.559 * * [simplify]: Extracting #2: cost 131 inf + 0 233.560 * * [simplify]: Extracting #3: cost 171 inf + 44 233.562 * * [simplify]: Extracting #4: cost 158 inf + 1557 233.567 * * [simplify]: Extracting #5: cost 92 inf + 24399 233.582 * * [simplify]: Extracting #6: cost 13 inf + 72558 233.600 * * [simplify]: Extracting #7: cost 0 inf + 80426 233.618 * * [simplify]: Extracting #8: cost 0 inf + 80340 233.637 * * [simplify]: Extracting #9: cost 0 inf + 79944 233.655 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 233.656 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 233.656 * * * * [progress]: [ 364 / 471 ] simplifiying candidate # 233.656 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 233.656 * * [simplify]: iters left: 6 (10 enodes) 233.663 * * [simplify]: iters left: 5 (43 enodes) 233.678 * * [simplify]: iters left: 4 (73 enodes) 233.709 * * [simplify]: iters left: 3 (125 enodes) 233.757 * * [simplify]: iters left: 2 (279 enodes) 233.850 * * [simplify]: Extracting #0: cost 1 inf + 0 233.851 * * [simplify]: Extracting #1: cost 45 inf + 0 233.851 * * [simplify]: Extracting #2: cost 125 inf + 1 233.852 * * [simplify]: Extracting #3: cost 166 inf + 4 233.852 * * [simplify]: Extracting #4: cost 157 inf + 2375 233.855 * * [simplify]: Extracting #5: cost 98 inf + 17640 233.863 * * [simplify]: Extracting #6: cost 12 inf + 68280 233.873 * * [simplify]: Extracting #7: cost 0 inf + 76078 233.884 * * [simplify]: Extracting #8: cost 0 inf + 75957 233.908 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 233.908 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 233.908 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 233.909 * * [simplify]: iters left: 6 (13 enodes) 233.916 * * [simplify]: iters left: 5 (54 enodes) 233.936 * * [simplify]: iters left: 4 (97 enodes) 233.969 * * [simplify]: iters left: 3 (190 enodes) 234.052 * * [simplify]: Extracting #0: cost 1 inf + 0 234.052 * * [simplify]: Extracting #1: cost 38 inf + 0 234.052 * * [simplify]: Extracting #2: cost 128 inf + 0 234.053 * * [simplify]: Extracting #3: cost 160 inf + 3 234.053 * * [simplify]: Extracting #4: cost 150 inf + 1094 234.055 * * [simplify]: Extracting #5: cost 103 inf + 16179 234.061 * * [simplify]: Extracting #6: cost 17 inf + 66872 234.070 * * [simplify]: Extracting #7: cost 0 inf + 77171 234.080 * * [simplify]: Extracting #8: cost 0 inf + 76753 234.098 * * [simplify]: Extracting #9: cost 0 inf + 76752 234.114 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 234.114 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 234.114 * * * * [progress]: [ 365 / 471 ] simplifiying candidate # 234.115 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 234.115 * * [simplify]: iters left: 6 (14 enodes) 234.119 * * [simplify]: iters left: 5 (58 enodes) 234.129 * * [simplify]: iters left: 4 (94 enodes) 234.157 * * [simplify]: iters left: 3 (135 enodes) 234.203 * * [simplify]: iters left: 2 (218 enodes) 234.263 * * [simplify]: iters left: 1 (385 enodes) 234.397 * * [simplify]: Extracting #0: cost 1 inf + 0 234.397 * * [simplify]: Extracting #1: cost 10 inf + 0 234.397 * * [simplify]: Extracting #2: cost 18 inf + 1 234.398 * * [simplify]: Extracting #3: cost 45 inf + 1 234.398 * * [simplify]: Extracting #4: cost 114 inf + 3 234.400 * * [simplify]: Extracting #5: cost 157 inf + 420 234.403 * * [simplify]: Extracting #6: cost 102 inf + 9171 234.412 * * [simplify]: Extracting #7: cost 35 inf + 34426 234.425 * * [simplify]: Extracting #8: cost 4 inf + 58588 234.434 * * [simplify]: Extracting #9: cost 0 inf + 62306 234.446 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 234.446 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 234.446 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 234.446 * * [simplify]: iters left: 6 (15 enodes) 234.451 * * [simplify]: iters left: 5 (61 enodes) 234.470 * * [simplify]: iters left: 4 (100 enodes) 234.503 * * [simplify]: iters left: 3 (172 enodes) 234.567 * * [simplify]: iters left: 2 (347 enodes) 234.695 * * [simplify]: Extracting #0: cost 1 inf + 0 234.695 * * [simplify]: Extracting #1: cost 60 inf + 0 234.696 * * [simplify]: Extracting #2: cost 175 inf + 0 234.697 * * [simplify]: Extracting #3: cost 240 inf + 3 234.698 * * [simplify]: Extracting #4: cost 248 inf + 4140 234.701 * * [simplify]: Extracting #5: cost 175 inf + 28688 234.709 * * [simplify]: Extracting #6: cost 95 inf + 81416 234.727 * * [simplify]: Extracting #7: cost 18 inf + 147133 234.746 * * [simplify]: Extracting #8: cost 0 inf + 162845 234.773 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 234.773 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 234.773 * * * * [progress]: [ 366 / 471 ] simplifiying candidate # 234.774 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 234.774 * * [simplify]: iters left: 6 (13 enodes) 234.781 * * [simplify]: iters left: 5 (53 enodes) 234.802 * * [simplify]: iters left: 4 (84 enodes) 234.829 * * [simplify]: iters left: 3 (121 enodes) 234.859 * * [simplify]: iters left: 2 (203 enodes) 234.901 * * [simplify]: iters left: 1 (358 enodes) 235.032 * * [simplify]: Extracting #0: cost 1 inf + 0 235.032 * * [simplify]: Extracting #1: cost 7 inf + 0 235.032 * * [simplify]: Extracting #2: cost 13 inf + 1 235.032 * * [simplify]: Extracting #3: cost 41 inf + 1 235.032 * * [simplify]: Extracting #4: cost 111 inf + 3 235.033 * * [simplify]: Extracting #5: cost 141 inf + 585 235.035 * * [simplify]: Extracting #6: cost 105 inf + 5244 235.038 * * [simplify]: Extracting #7: cost 42 inf + 23597 235.046 * * [simplify]: Extracting #8: cost 6 inf + 51529 235.062 * * [simplify]: Extracting #9: cost 0 inf + 56307 235.079 * * [simplify]: Extracting #10: cost 0 inf + 55925 235.096 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 235.096 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 235.096 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 235.097 * * [simplify]: iters left: 6 (15 enodes) 235.109 * * [simplify]: iters left: 5 (61 enodes) 235.129 * * [simplify]: iters left: 4 (101 enodes) 235.161 * * [simplify]: iters left: 3 (173 enodes) 235.197 * * [simplify]: iters left: 2 (344 enodes) 235.304 * * [simplify]: Extracting #0: cost 1 inf + 0 235.305 * * [simplify]: Extracting #1: cost 60 inf + 0 235.305 * * [simplify]: Extracting #2: cost 170 inf + 0 235.307 * * [simplify]: Extracting #3: cost 242 inf + 3 235.314 * * [simplify]: Extracting #4: cost 231 inf + 8787 235.323 * * [simplify]: Extracting #5: cost 112 inf + 69376 235.340 * * [simplify]: Extracting #6: cost 12 inf + 147832 235.364 * * [simplify]: Extracting #7: cost 0 inf + 156850 235.384 * * [simplify]: Extracting #8: cost 0 inf + 156719 235.411 * * [simplify]: Extracting #9: cost 0 inf + 156629 235.436 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) 235.437 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))))) 235.437 * * * * [progress]: [ 367 / 471 ] simplifiying candidate # 235.437 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 235.437 * * [simplify]: iters left: 6 (6 enodes) 235.441 * * [simplify]: iters left: 5 (20 enodes) 235.448 * * [simplify]: iters left: 4 (24 enodes) 235.454 * * [simplify]: Extracting #0: cost 1 inf + 0 235.454 * * [simplify]: Extracting #1: cost 4 inf + 0 235.454 * * [simplify]: Extracting #2: cost 5 inf + 1 235.454 * * [simplify]: Extracting #3: cost 7 inf + 1 235.454 * * [simplify]: Extracting #4: cost 6 inf + 2 235.454 * * [simplify]: Extracting #5: cost 0 inf + 490 235.455 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 235.455 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 235.455 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 235.455 * * [simplify]: iters left: 6 (14 enodes) 235.463 * * [simplify]: iters left: 5 (58 enodes) 235.483 * * [simplify]: iters left: 4 (101 enodes) 235.517 * * [simplify]: iters left: 3 (190 enodes) 235.603 * * [simplify]: iters left: 2 (495 enodes) 235.858 * * [simplify]: Extracting #0: cost 1 inf + 0 235.858 * * [simplify]: Extracting #1: cost 116 inf + 0 235.859 * * [simplify]: Extracting #2: cost 501 inf + 0 235.862 * * [simplify]: Extracting #3: cost 608 inf + 3 235.865 * * [simplify]: Extracting #4: cost 592 inf + 2788 235.871 * * [simplify]: Extracting #5: cost 476 inf + 53196 235.922 * * [simplify]: Extracting #6: cost 128 inf + 326522 235.973 * * [simplify]: Extracting #7: cost 0 inf + 437353 236.039 * * [simplify]: Extracting #8: cost 0 inf + 430827 236.090 * * [simplify]: Extracting #9: cost 0 inf + 430535 236.159 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))) 236.159 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))))) 236.159 * * * * [progress]: [ 368 / 471 ] simplifiying candidate # 236.160 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 236.160 * * [simplify]: iters left: 6 (13 enodes) 236.164 * * [simplify]: iters left: 5 (56 enodes) 236.175 * * [simplify]: iters left: 4 (93 enodes) 236.191 * * [simplify]: iters left: 3 (159 enodes) 236.227 * * [simplify]: iters left: 2 (339 enodes) 236.350 * * [simplify]: Extracting #0: cost 1 inf + 0 236.350 * * [simplify]: Extracting #1: cost 51 inf + 0 236.351 * * [simplify]: Extracting #2: cost 131 inf + 1 236.352 * * [simplify]: Extracting #3: cost 184 inf + 3 236.354 * * [simplify]: Extracting #4: cost 174 inf + 1916 236.360 * * [simplify]: Extracting #5: cost 116 inf + 16603 236.374 * * [simplify]: Extracting #6: cost 34 inf + 60410 236.396 * * [simplify]: Extracting #7: cost 2 inf + 83895 236.420 * * [simplify]: Extracting #8: cost 0 inf + 84413 236.443 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 236.443 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 236.443 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 236.443 * * [simplify]: iters left: 6 (15 enodes) 236.452 * * [simplify]: iters left: 5 (64 enodes) 236.474 * * [simplify]: iters left: 4 (111 enodes) 236.517 * * [simplify]: iters left: 3 (218 enodes) 236.581 * * [simplify]: Extracting #0: cost 1 inf + 0 236.581 * * [simplify]: Extracting #1: cost 38 inf + 0 236.582 * * [simplify]: Extracting #2: cost 127 inf + 0 236.583 * * [simplify]: Extracting #3: cost 171 inf + 2 236.584 * * [simplify]: Extracting #4: cost 159 inf + 1089 236.592 * * [simplify]: Extracting #5: cost 95 inf + 20173 236.607 * * [simplify]: Extracting #6: cost 14 inf + 70791 236.627 * * [simplify]: Extracting #7: cost 0 inf + 80955 236.646 * * [simplify]: Extracting #8: cost 0 inf + 80609 236.665 * [simplify]: Simplified to (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))) 236.665 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ (pow n (- 1/4 (/ k 4))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (- 1/4 (/ k 4)))))) 236.666 * * * * [progress]: [ 369 / 471 ] simplifiying candidate # 236.666 * [simplify]: Simplifying (/ 1 (/ 1 (pow 2 (/ (- 1 k) 2)))) 236.666 * * [simplify]: iters left: 6 (8 enodes) 236.672 * * [simplify]: iters left: 5 (35 enodes) 236.684 * * [simplify]: iters left: 4 (59 enodes) 236.694 * * [simplify]: iters left: 3 (102 enodes) 236.723 * * [simplify]: iters left: 2 (222 enodes) 236.790 * * [simplify]: Extracting #0: cost 1 inf + 0 236.790 * * [simplify]: Extracting #1: cost 30 inf + 0 236.791 * * [simplify]: Extracting #2: cost 87 inf + 3 236.792 * * [simplify]: Extracting #3: cost 133 inf + 5 236.793 * * [simplify]: Extracting #4: cost 126 inf + 925 236.797 * * [simplify]: Extracting #5: cost 72 inf + 9619 236.805 * * [simplify]: Extracting #6: cost 19 inf + 39717 236.818 * * [simplify]: Extracting #7: cost 0 inf + 52477 236.834 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 236.834 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 236.834 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 236.834 * * [simplify]: iters left: 6 (12 enodes) 236.842 * * [simplify]: iters left: 5 (51 enodes) 236.860 * * [simplify]: iters left: 4 (90 enodes) 236.883 * * [simplify]: iters left: 3 (181 enodes) 236.955 * * [simplify]: Extracting #0: cost 1 inf + 0 236.955 * * [simplify]: Extracting #1: cost 38 inf + 0 236.956 * * [simplify]: Extracting #2: cost 127 inf + 0 236.957 * * [simplify]: Extracting #3: cost 156 inf + 45 236.958 * * [simplify]: Extracting #4: cost 149 inf + 1928 236.962 * * [simplify]: Extracting #5: cost 91 inf + 21734 236.975 * * [simplify]: Extracting #6: cost 7 inf + 71818 236.983 * * [simplify]: Extracting #7: cost 0 inf + 75903 236.992 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 236.992 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 236.992 * * * * [progress]: [ 370 / 471 ] simplifiying candidate # 236.992 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 236.992 * * [simplify]: iters left: 6 (12 enodes) 236.996 * * [simplify]: iters left: 5 (50 enodes) 237.008 * * [simplify]: iters left: 4 (76 enodes) 237.021 * * [simplify]: iters left: 3 (121 enodes) 237.058 * * [simplify]: iters left: 2 (221 enodes) 237.111 * * [simplify]: iters left: 1 (387 enodes) 237.257 * * [simplify]: Extracting #0: cost 1 inf + 0 237.257 * * [simplify]: Extracting #1: cost 6 inf + 0 237.257 * * [simplify]: Extracting #2: cost 9 inf + 1 237.257 * * [simplify]: Extracting #3: cost 33 inf + 1 237.258 * * [simplify]: Extracting #4: cost 101 inf + 2 237.259 * * [simplify]: Extracting #5: cost 146 inf + 50 237.260 * * [simplify]: Extracting #6: cost 143 inf + 307 237.263 * * [simplify]: Extracting #7: cost 97 inf + 6931 237.274 * * [simplify]: Extracting #8: cost 30 inf + 35926 237.294 * * [simplify]: Extracting #9: cost 0 inf + 58784 237.314 * * [simplify]: Extracting #10: cost 0 inf + 58485 237.333 * [simplify]: Simplified to (* (cbrt (pow (* PI 2) (* 1/2 (- 1 k)))) (cbrt (pow (* PI 2) (* 1/2 (- 1 k))))) 237.333 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI 2) (* 1/2 (- 1 k)))) (cbrt (pow (* PI 2) (* 1/2 (- 1 k))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 237.334 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 237.334 * * [simplify]: iters left: 6 (14 enodes) 237.342 * * [simplify]: iters left: 5 (58 enodes) 237.361 * * [simplify]: iters left: 4 (97 enodes) 237.393 * * [simplify]: iters left: 3 (165 enodes) 237.425 * * [simplify]: iters left: 2 (334 enodes) 237.550 * * [simplify]: Extracting #0: cost 1 inf + 0 237.550 * * [simplify]: Extracting #1: cost 61 inf + 0 237.550 * * [simplify]: Extracting #2: cost 173 inf + 0 237.551 * * [simplify]: Extracting #3: cost 237 inf + 45 237.553 * * [simplify]: Extracting #4: cost 226 inf + 9063 237.557 * * [simplify]: Extracting #5: cost 155 inf + 40750 237.565 * * [simplify]: Extracting #6: cost 102 inf + 72390 237.587 * * [simplify]: Extracting #7: cost 19 inf + 143233 237.623 * * [simplify]: Extracting #8: cost 0 inf + 161480 237.641 * * [simplify]: Extracting #9: cost 0 inf + 161349 237.665 * [simplify]: Simplified to (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 237.666 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 237.666 * * * * [progress]: [ 371 / 471 ] simplifiying candidate # 237.666 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 237.666 * * [simplify]: iters left: 6 (11 enodes) 237.670 * * [simplify]: iters left: 5 (45 enodes) 237.678 * * [simplify]: iters left: 4 (68 enodes) 237.689 * * [simplify]: iters left: 3 (108 enodes) 237.729 * * [simplify]: iters left: 2 (196 enodes) 237.791 * * [simplify]: iters left: 1 (361 enodes) 237.932 * * [simplify]: Extracting #0: cost 1 inf + 0 237.932 * * [simplify]: Extracting #1: cost 6 inf + 0 237.932 * * [simplify]: Extracting #2: cost 33 inf + 1 237.933 * * [simplify]: Extracting #3: cost 109 inf + 2 237.933 * * [simplify]: Extracting #4: cost 148 inf + 51 237.934 * * [simplify]: Extracting #5: cost 151 inf + 141 237.935 * * [simplify]: Extracting #6: cost 99 inf + 6879 237.941 * * [simplify]: Extracting #7: cost 20 inf + 41686 237.950 * * [simplify]: Extracting #8: cost 1 inf + 55906 237.966 * * [simplify]: Extracting #9: cost 0 inf + 55477 237.986 * * [simplify]: Extracting #10: cost 0 inf + 55034 238.005 * * [simplify]: Extracting #11: cost 0 inf + 54943 238.026 * [simplify]: Simplified to (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))) 238.026 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* PI 2) (- 1/2 (/ k 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 238.026 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 238.026 * * [simplify]: iters left: 6 (14 enodes) 238.034 * * [simplify]: iters left: 5 (58 enodes) 238.058 * * [simplify]: iters left: 4 (98 enodes) 238.090 * * [simplify]: iters left: 3 (166 enodes) 238.150 * * [simplify]: iters left: 2 (335 enodes) 238.263 * * [simplify]: Extracting #0: cost 1 inf + 0 238.263 * * [simplify]: Extracting #1: cost 66 inf + 0 238.264 * * [simplify]: Extracting #2: cost 183 inf + 0 238.265 * * [simplify]: Extracting #3: cost 250 inf + 45 238.266 * * [simplify]: Extracting #4: cost 243 inf + 6074 238.275 * * [simplify]: Extracting #5: cost 146 inf + 49131 238.287 * * [simplify]: Extracting #6: cost 81 inf + 89679 238.320 * * [simplify]: Extracting #7: cost 9 inf + 153685 238.346 * * [simplify]: Extracting #8: cost 0 inf + 161635 238.365 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 238.365 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 238.365 * * * * [progress]: [ 372 / 471 ] simplifiying candidate # 238.366 * [simplify]: Simplifying (/ 1 (/ 1 1)) 238.366 * * [simplify]: iters left: 4 (3 enodes) 238.367 * * [simplify]: iters left: 3 (7 enodes) 238.368 * * [simplify]: iters left: 2 (9 enodes) 238.370 * * [simplify]: Extracting #0: cost 1 inf + 0 238.370 * * [simplify]: Extracting #1: cost 0 inf + 1 238.370 * [simplify]: Simplified to 1 238.370 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 238.370 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 238.370 * * [simplify]: iters left: 6 (13 enodes) 238.377 * * [simplify]: iters left: 5 (55 enodes) 238.398 * * [simplify]: iters left: 4 (98 enodes) 238.415 * * [simplify]: iters left: 3 (187 enodes) 238.469 * * [simplify]: Extracting #0: cost 1 inf + 0 238.469 * * [simplify]: Extracting #1: cost 38 inf + 0 238.470 * * [simplify]: Extracting #2: cost 129 inf + 0 238.471 * * [simplify]: Extracting #3: cost 161 inf + 44 238.472 * * [simplify]: Extracting #4: cost 144 inf + 1752 238.478 * * [simplify]: Extracting #5: cost 82 inf + 24648 238.496 * * [simplify]: Extracting #6: cost 10 inf + 71854 238.509 * * [simplify]: Extracting #7: cost 0 inf + 80166 238.518 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 238.518 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 238.518 * * * * [progress]: [ 373 / 471 ] simplifiying candidate # 238.518 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 238.518 * * [simplify]: iters left: 6 (11 enodes) 238.522 * * [simplify]: iters left: 5 (48 enodes) 238.531 * * [simplify]: iters left: 4 (76 enodes) 238.555 * * [simplify]: iters left: 3 (129 enodes) 238.580 * * [simplify]: iters left: 2 (266 enodes) 238.658 * * [simplify]: Extracting #0: cost 1 inf + 0 238.658 * * [simplify]: Extracting #1: cost 29 inf + 0 238.658 * * [simplify]: Extracting #2: cost 97 inf + 2 238.659 * * [simplify]: Extracting #3: cost 148 inf + 50 238.660 * * [simplify]: Extracting #4: cost 140 inf + 1088 238.664 * * [simplify]: Extracting #5: cost 82 inf + 9766 238.678 * * [simplify]: Extracting #6: cost 17 inf + 43995 238.693 * * [simplify]: Extracting #7: cost 0 inf + 56795 238.705 * * [simplify]: Extracting #8: cost 0 inf + 56543 238.713 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 238.713 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* PI 2) (/ (- 1 k) 4)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 238.713 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 238.713 * * [simplify]: iters left: 6 (14 enodes) 238.718 * * [simplify]: iters left: 5 (61 enodes) 238.736 * * [simplify]: iters left: 4 (108 enodes) 238.774 * * [simplify]: iters left: 3 (215 enodes) 238.872 * * [simplify]: Extracting #0: cost 1 inf + 0 238.872 * * [simplify]: Extracting #1: cost 38 inf + 0 238.873 * * [simplify]: Extracting #2: cost 131 inf + 0 238.874 * * [simplify]: Extracting #3: cost 171 inf + 44 238.876 * * [simplify]: Extracting #4: cost 158 inf + 1557 238.881 * * [simplify]: Extracting #5: cost 92 inf + 24399 238.890 * * [simplify]: Extracting #6: cost 13 inf + 72558 238.899 * * [simplify]: Extracting #7: cost 0 inf + 80426 238.908 * * [simplify]: Extracting #8: cost 0 inf + 80340 238.931 * * [simplify]: Extracting #9: cost 0 inf + 79944 238.943 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))) 238.943 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt k) (pow n (/ (- 1 k) 2)))))) 238.943 * * * * [progress]: [ 374 / 471 ] simplifiying candidate # 238.943 * [simplify]: Simplifying (/ 1 1) 238.944 * * [simplify]: iters left: 2 (2 enodes) 238.945 * * [simplify]: iters left: 1 (6 enodes) 238.946 * * [simplify]: Extracting #0: cost 1 inf + 0 238.946 * * [simplify]: Extracting #1: cost 0 inf + 1 238.946 * [simplify]: Simplified to 1 238.946 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 238.946 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 238.946 * * [simplify]: iters left: 6 (13 enodes) 238.950 * * [simplify]: iters left: 5 (55 enodes) 238.960 * * [simplify]: iters left: 4 (98 enodes) 238.981 * * [simplify]: iters left: 3 (187 enodes) 239.049 * * [simplify]: Extracting #0: cost 1 inf + 0 239.050 * * [simplify]: Extracting #1: cost 38 inf + 0 239.050 * * [simplify]: Extracting #2: cost 129 inf + 0 239.051 * * [simplify]: Extracting #3: cost 161 inf + 44 239.053 * * [simplify]: Extracting #4: cost 144 inf + 1752 239.055 * * [simplify]: Extracting #5: cost 82 inf + 24648 239.063 * * [simplify]: Extracting #6: cost 10 inf + 71854 239.072 * * [simplify]: Extracting #7: cost 0 inf + 80166 239.081 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))) 239.081 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (sqrt k))))) 239.081 * * * * [progress]: [ 375 / 471 ] simplifiying candidate # 239.081 * [simplify]: Simplifying (/ 1 (sqrt k)) 239.081 * * [simplify]: iters left: 3 (4 enodes) 239.082 * * [simplify]: iters left: 2 (14 enodes) 239.085 * * [simplify]: iters left: 1 (16 enodes) 239.090 * * [simplify]: Extracting #0: cost 1 inf + 0 239.090 * * [simplify]: Extracting #1: cost 4 inf + 0 239.090 * * [simplify]: Extracting #2: cost 5 inf + 1 239.090 * * [simplify]: Extracting #3: cost 3 inf + 43 239.090 * * [simplify]: Extracting #4: cost 1 inf + 166 239.090 * * [simplify]: Extracting #5: cost 0 inf + 248 239.090 * [simplify]: Simplified to (/ 1 (sqrt k)) 239.090 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 239.091 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 239.091 * * [simplify]: iters left: 6 (12 enodes) 239.096 * * [simplify]: iters left: 5 (52 enodes) 239.105 * * [simplify]: iters left: 4 (87 enodes) 239.129 * * [simplify]: iters left: 3 (180 enodes) 239.194 * * [simplify]: Extracting #0: cost 1 inf + 0 239.194 * * [simplify]: Extracting #1: cost 41 inf + 0 239.194 * * [simplify]: Extracting #2: cost 123 inf + 1 239.195 * * [simplify]: Extracting #3: cost 158 inf + 3 239.195 * * [simplify]: Extracting #4: cost 158 inf + 53 239.196 * * [simplify]: Extracting #5: cost 145 inf + 1640 239.199 * * [simplify]: Extracting #6: cost 81 inf + 24678 239.211 * * [simplify]: Extracting #7: cost 11 inf + 67989 239.232 * * [simplify]: Extracting #8: cost 0 inf + 75786 239.250 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) 239.250 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* PI 2) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 239.250 * * * * [progress]: [ 376 / 471 ] simplifiying candidate # 239.251 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 239.251 * * [simplify]: iters left: 6 (10 enodes) 239.256 * * [simplify]: iters left: 5 (40 enodes) 239.264 * * [simplify]: iters left: 4 (69 enodes) 239.279 * * [simplify]: iters left: 3 (128 enodes) 239.311 * * [simplify]: iters left: 2 (245 enodes) 239.390 * * [simplify]: Extracting #0: cost 1 inf + 0 239.390 * * [simplify]: Extracting #1: cost 38 inf + 0 239.390 * * [simplify]: Extracting #2: cost 108 inf + 1 239.391 * * [simplify]: Extracting #3: cost 105 inf + 91 239.392 * * [simplify]: Extracting #4: cost 93 inf + 1386 239.397 * * [simplify]: Extracting #5: cost 29 inf + 32969 239.403 * * [simplify]: Extracting #6: cost 0 inf + 48370 239.411 * [simplify]: Simplified to (/ (sqrt (* 2 PI)) (sqrt k)) 239.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))))) 239.411 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ k 2))) 239.412 * * [simplify]: iters left: 6 (12 enodes) 239.415 * * [simplify]: iters left: 5 (50 enodes) 239.427 * * [simplify]: iters left: 4 (88 enodes) 239.458 * * [simplify]: iters left: 3 (176 enodes) 239.534 * * [simplify]: iters left: 2 (489 enodes) 239.943 * * [simplify]: Extracting #0: cost 1 inf + 0 239.943 * * [simplify]: Extracting #1: cost 153 inf + 0 239.945 * * [simplify]: Extracting #2: cost 514 inf + 0 239.954 * * [simplify]: Extracting #3: cost 630 inf + 3 239.957 * * [simplify]: Extracting #4: cost 601 inf + 5719 239.969 * * [simplify]: Extracting #5: cost 415 inf + 117580 240.010 * * [simplify]: Extracting #6: cost 58 inf + 442947 240.069 * * [simplify]: Extracting #7: cost 0 inf + 487496 240.177 * * [simplify]: Extracting #8: cost 0 inf + 480392 240.248 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))) 240.248 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ k 2))))) 240.249 * * * * [progress]: [ 377 / 471 ] simplifiying candidate # 240.249 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 240.249 * * [simplify]: iters left: 6 (16 enodes) 240.254 * * [simplify]: iters left: 5 (67 enodes) 240.268 * * [simplify]: iters left: 4 (111 enodes) 240.306 * * [simplify]: iters left: 3 (201 enodes) 240.358 * * [simplify]: iters left: 2 (417 enodes) 240.518 * * [simplify]: Extracting #0: cost 1 inf + 0 240.518 * * [simplify]: Extracting #1: cost 54 inf + 0 240.518 * * [simplify]: Extracting #2: cost 149 inf + 0 240.519 * * [simplify]: Extracting #3: cost 233 inf + 3 240.520 * * [simplify]: Extracting #4: cost 265 inf + 13 240.521 * * [simplify]: Extracting #5: cost 266 inf + 3370 240.525 * * [simplify]: Extracting #6: cost 195 inf + 17343 240.542 * * [simplify]: Extracting #7: cost 65 inf + 112793 240.586 * * [simplify]: Extracting #8: cost 1 inf + 171909 240.624 * * [simplify]: Extracting #9: cost 0 inf + 172392 240.647 * [simplify]: Simplified to (/ (pow n (* 1/4 (- 1 k))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 240.647 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (* 1/4 (- 1 k))) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 240.647 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 240.647 * * [simplify]: iters left: 6 (15 enodes) 240.654 * * [simplify]: iters left: 5 (62 enodes) 240.666 * * [simplify]: iters left: 4 (100 enodes) 240.684 * * [simplify]: iters left: 3 (175 enodes) 240.750 * * [simplify]: iters left: 2 (341 enodes) 240.843 * * [simplify]: Extracting #0: cost 1 inf + 0 240.843 * * [simplify]: Extracting #1: cost 30 inf + 0 240.843 * * [simplify]: Extracting #2: cost 75 inf + 0 240.844 * * [simplify]: Extracting #3: cost 144 inf + 3 240.845 * * [simplify]: Extracting #4: cost 173 inf + 13 240.848 * * [simplify]: Extracting #5: cost 183 inf + 2169 240.853 * * [simplify]: Extracting #6: cost 121 inf + 11642 240.863 * * [simplify]: Extracting #7: cost 64 inf + 43535 240.882 * * [simplify]: Extracting #8: cost 8 inf + 83509 240.904 * * [simplify]: Extracting #9: cost 0 inf + 90041 240.925 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 240.925 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 240.925 * * * * [progress]: [ 378 / 471 ] simplifiying candidate # 240.925 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 240.926 * * [simplify]: iters left: 6 (15 enodes) 240.934 * * [simplify]: iters left: 5 (62 enodes) 240.955 * * [simplify]: iters left: 4 (100 enodes) 240.994 * * [simplify]: iters left: 3 (175 enodes) 241.061 * * [simplify]: iters left: 2 (341 enodes) 241.176 * * [simplify]: Extracting #0: cost 1 inf + 0 241.176 * * [simplify]: Extracting #1: cost 30 inf + 0 241.176 * * [simplify]: Extracting #2: cost 75 inf + 0 241.177 * * [simplify]: Extracting #3: cost 144 inf + 3 241.177 * * [simplify]: Extracting #4: cost 173 inf + 13 241.179 * * [simplify]: Extracting #5: cost 183 inf + 2169 241.182 * * [simplify]: Extracting #6: cost 121 inf + 11642 241.192 * * [simplify]: Extracting #7: cost 64 inf + 43095 241.210 * * [simplify]: Extracting #8: cost 8 inf + 82149 241.230 * * [simplify]: Extracting #9: cost 0 inf + 88561 241.256 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 241.256 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 241.256 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 241.257 * * [simplify]: iters left: 6 (15 enodes) 241.265 * * [simplify]: iters left: 5 (62 enodes) 241.286 * * [simplify]: iters left: 4 (100 enodes) 241.319 * * [simplify]: iters left: 3 (175 enodes) 241.385 * * [simplify]: iters left: 2 (341 enodes) 241.469 * * [simplify]: Extracting #0: cost 1 inf + 0 241.469 * * [simplify]: Extracting #1: cost 30 inf + 0 241.469 * * [simplify]: Extracting #2: cost 75 inf + 0 241.469 * * [simplify]: Extracting #3: cost 144 inf + 3 241.470 * * [simplify]: Extracting #4: cost 173 inf + 13 241.471 * * [simplify]: Extracting #5: cost 183 inf + 2169 241.480 * * [simplify]: Extracting #6: cost 121 inf + 11642 241.490 * * [simplify]: Extracting #7: cost 64 inf + 43095 241.503 * * [simplify]: Extracting #8: cost 8 inf + 82149 241.513 * * [simplify]: Extracting #9: cost 0 inf + 88561 241.524 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 241.524 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))))) 241.524 * * * * [progress]: [ 379 / 471 ] simplifiying candidate # 241.524 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 241.524 * * [simplify]: iters left: 6 (14 enodes) 241.529 * * [simplify]: iters left: 5 (62 enodes) 241.551 * * [simplify]: iters left: 4 (121 enodes) 241.602 * * [simplify]: iters left: 3 (305 enodes) 241.728 * * [simplify]: Extracting #0: cost 1 inf + 0 241.729 * * [simplify]: Extracting #1: cost 73 inf + 0 241.730 * * [simplify]: Extracting #2: cost 237 inf + 0 241.732 * * [simplify]: Extracting #3: cost 294 inf + 3 241.736 * * [simplify]: Extracting #4: cost 247 inf + 16602 241.750 * * [simplify]: Extracting #5: cost 83 inf + 113762 241.779 * * [simplify]: Extracting #6: cost 2 inf + 171283 241.819 * * [simplify]: Extracting #7: cost 0 inf + 169756 241.857 * * [simplify]: Extracting #8: cost 0 inf + 169516 241.881 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) 241.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 241.881 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 241.881 * * [simplify]: iters left: 6 (14 enodes) 241.886 * * [simplify]: iters left: 5 (60 enodes) 241.897 * * [simplify]: iters left: 4 (107 enodes) 241.920 * * [simplify]: iters left: 3 (216 enodes) 241.982 * * [simplify]: Extracting #0: cost 1 inf + 0 241.982 * * [simplify]: Extracting #1: cost 38 inf + 0 241.983 * * [simplify]: Extracting #2: cost 131 inf + 0 241.983 * * [simplify]: Extracting #3: cost 178 inf + 3 241.984 * * [simplify]: Extracting #4: cost 169 inf + 1428 241.992 * * [simplify]: Extracting #5: cost 104 inf + 17148 242.006 * * [simplify]: Extracting #6: cost 29 inf + 62759 242.025 * * [simplify]: Extracting #7: cost 0 inf + 84184 242.045 * * [simplify]: Extracting #8: cost 0 inf + 83161 242.058 * * [simplify]: Extracting #9: cost 0 inf + 82988 242.068 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 242.068 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 242.068 * * * * [progress]: [ 380 / 471 ] simplifiying candidate # 242.069 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 242.069 * * [simplify]: iters left: 6 (18 enodes) 242.074 * * [simplify]: iters left: 5 (79 enodes) 242.094 * * [simplify]: iters left: 4 (147 enodes) 242.126 * * [simplify]: iters left: 3 (313 enodes) 242.258 * * [simplify]: Extracting #0: cost 1 inf + 0 242.258 * * [simplify]: Extracting #1: cost 64 inf + 0 242.259 * * [simplify]: Extracting #2: cost 173 inf + 0 242.261 * * [simplify]: Extracting #3: cost 225 inf + 1 242.264 * * [simplify]: Extracting #4: cost 215 inf + 7213 242.275 * * [simplify]: Extracting #5: cost 126 inf + 44988 242.310 * * [simplify]: Extracting #6: cost 24 inf + 121729 242.356 * * [simplify]: Extracting #7: cost 0 inf + 142501 242.379 * * [simplify]: Extracting #8: cost 0 inf + 142461 242.404 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) 242.405 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 242.405 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 242.405 * * [simplify]: iters left: 6 (16 enodes) 242.410 * * [simplify]: iters left: 5 (67 enodes) 242.421 * * [simplify]: iters left: 4 (107 enodes) 242.450 * * [simplify]: iters left: 3 (192 enodes) 242.527 * * [simplify]: iters left: 2 (407 enodes) 242.664 * * [simplify]: Extracting #0: cost 1 inf + 0 242.664 * * [simplify]: Extracting #1: cost 60 inf + 0 242.665 * * [simplify]: Extracting #2: cost 177 inf + 0 242.666 * * [simplify]: Extracting #3: cost 263 inf + 3 242.667 * * [simplify]: Extracting #4: cost 284 inf + 1129 242.671 * * [simplify]: Extracting #5: cost 205 inf + 30565 242.698 * * [simplify]: Extracting #6: cost 34 inf + 136388 242.719 * * [simplify]: Extracting #7: cost 0 inf + 161681 242.761 * * [simplify]: Extracting #8: cost 0 inf + 161679 242.804 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4))) 242.804 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4))))) 242.805 * * * * [progress]: [ 381 / 471 ] simplifiying candidate # 242.805 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 242.805 * * [simplify]: iters left: 6 (17 enodes) 242.814 * * [simplify]: iters left: 5 (72 enodes) 242.842 * * [simplify]: iters left: 4 (122 enodes) 242.875 * * [simplify]: iters left: 3 (245 enodes) 242.943 * * [simplify]: Extracting #0: cost 1 inf + 0 242.943 * * [simplify]: Extracting #1: cost 45 inf + 0 242.943 * * [simplify]: Extracting #2: cost 117 inf + 0 242.944 * * [simplify]: Extracting #3: cost 170 inf + 1 242.945 * * [simplify]: Extracting #4: cost 176 inf + 1004 242.947 * * [simplify]: Extracting #5: cost 123 inf + 13536 242.953 * * [simplify]: Extracting #6: cost 33 inf + 64017 242.965 * * [simplify]: Extracting #7: cost 1 inf + 89862 242.981 * * [simplify]: Extracting #8: cost 0 inf + 89649 242.992 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 242.993 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 242.993 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 242.993 * * [simplify]: iters left: 6 (16 enodes) 242.999 * * [simplify]: iters left: 5 (67 enodes) 243.025 * * [simplify]: iters left: 4 (108 enodes) 243.061 * * [simplify]: iters left: 3 (193 enodes) 243.136 * * [simplify]: iters left: 2 (408 enodes) 243.242 * * [simplify]: Extracting #0: cost 1 inf + 0 243.242 * * [simplify]: Extracting #1: cost 59 inf + 0 243.242 * * [simplify]: Extracting #2: cost 175 inf + 0 243.243 * * [simplify]: Extracting #3: cost 263 inf + 3 243.245 * * [simplify]: Extracting #4: cost 274 inf + 2789 243.250 * * [simplify]: Extracting #5: cost 183 inf + 31102 243.264 * * [simplify]: Extracting #6: cost 111 inf + 70116 243.296 * * [simplify]: Extracting #7: cost 28 inf + 136927 243.334 * * [simplify]: Extracting #8: cost 1 inf + 160795 243.376 * * [simplify]: Extracting #9: cost 0 inf + 161421 243.412 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 243.412 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 8)) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))))) 243.412 * * * * [progress]: [ 382 / 471 ] simplifiying candidate # 243.412 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 243.412 * * [simplify]: iters left: 6 (13 enodes) 243.417 * * [simplify]: iters left: 5 (55 enodes) 243.427 * * [simplify]: iters left: 4 (100 enodes) 243.446 * * [simplify]: iters left: 3 (188 enodes) 243.490 * * [simplify]: iters left: 2 (421 enodes) 243.692 * * [simplify]: Extracting #0: cost 1 inf + 0 243.692 * * [simplify]: Extracting #1: cost 83 inf + 0 243.693 * * [simplify]: Extracting #2: cost 225 inf + 1 243.695 * * [simplify]: Extracting #3: cost 297 inf + 4 243.696 * * [simplify]: Extracting #4: cost 297 inf + 1130 243.700 * * [simplify]: Extracting #5: cost 222 inf + 21522 243.721 * * [simplify]: Extracting #6: cost 50 inf + 123020 243.759 * * [simplify]: Extracting #7: cost 1 inf + 156599 243.785 * * [simplify]: Extracting #8: cost 0 inf + 155976 243.808 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 243.808 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 243.809 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 243.809 * * [simplify]: iters left: 6 (15 enodes) 243.818 * * [simplify]: iters left: 5 (64 enodes) 243.840 * * [simplify]: iters left: 4 (108 enodes) 243.859 * * [simplify]: iters left: 3 (214 enodes) 243.916 * * [simplify]: Extracting #0: cost 1 inf + 0 243.916 * * [simplify]: Extracting #1: cost 38 inf + 0 243.917 * * [simplify]: Extracting #2: cost 131 inf + 0 243.918 * * [simplify]: Extracting #3: cost 180 inf + 2 243.920 * * [simplify]: Extracting #4: cost 163 inf + 1707 243.922 * * [simplify]: Extracting #5: cost 105 inf + 17015 243.929 * * [simplify]: Extracting #6: cost 34 inf + 58752 243.939 * * [simplify]: Extracting #7: cost 0 inf + 84894 243.949 * * [simplify]: Extracting #8: cost 0 inf + 84067 243.965 * * [simplify]: Extracting #9: cost 0 inf + 83803 243.986 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 243.986 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 243.986 * * * * [progress]: [ 383 / 471 ] simplifiying candidate # 243.987 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 243.987 * * [simplify]: iters left: 6 (16 enodes) 243.996 * * [simplify]: iters left: 5 (69 enodes) 244.021 * * [simplify]: iters left: 4 (127 enodes) 244.069 * * [simplify]: iters left: 3 (304 enodes) 244.236 * * [simplify]: Extracting #0: cost 1 inf + 0 244.236 * * [simplify]: Extracting #1: cost 74 inf + 0 244.237 * * [simplify]: Extracting #2: cost 237 inf + 0 244.239 * * [simplify]: Extracting #3: cost 288 inf + 2 244.242 * * [simplify]: Extracting #4: cost 266 inf + 5317 244.251 * * [simplify]: Extracting #5: cost 191 inf + 34256 244.279 * * [simplify]: Extracting #6: cost 62 inf + 128200 244.315 * * [simplify]: Extracting #7: cost 2 inf + 176079 244.345 * * [simplify]: Extracting #8: cost 0 inf + 177458 244.371 * * [simplify]: Extracting #9: cost 0 inf + 177457 244.396 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4)))) 244.396 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 244.396 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 244.396 * * [simplify]: iters left: 6 (15 enodes) 244.405 * * [simplify]: iters left: 5 (64 enodes) 244.427 * * [simplify]: iters left: 4 (110 enodes) 244.469 * * [simplify]: iters left: 3 (215 enodes) 244.569 * * [simplify]: Extracting #0: cost 1 inf + 0 244.569 * * [simplify]: Extracting #1: cost 38 inf + 0 244.569 * * [simplify]: Extracting #2: cost 128 inf + 0 244.570 * * [simplify]: Extracting #3: cost 170 inf + 2 244.571 * * [simplify]: Extracting #4: cost 161 inf + 1960 244.573 * * [simplify]: Extracting #5: cost 112 inf + 14231 244.583 * * [simplify]: Extracting #6: cost 22 inf + 68936 244.592 * * [simplify]: Extracting #7: cost 0 inf + 86615 244.603 * * [simplify]: Extracting #8: cost 0 inf + 86614 244.612 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 244.613 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 244.613 * * * * [progress]: [ 384 / 471 ] simplifiying candidate # 244.613 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 244.613 * * [simplify]: iters left: 6 (14 enodes) 244.618 * * [simplify]: iters left: 5 (61 enodes) 244.631 * * [simplify]: iters left: 4 (108 enodes) 244.671 * * [simplify]: iters left: 3 (220 enodes) 244.770 * * [simplify]: Extracting #0: cost 1 inf + 0 244.770 * * [simplify]: Extracting #1: cost 38 inf + 0 244.770 * * [simplify]: Extracting #2: cost 132 inf + 0 244.771 * * [simplify]: Extracting #3: cost 180 inf + 3 244.772 * * [simplify]: Extracting #4: cost 166 inf + 2294 244.775 * * [simplify]: Extracting #5: cost 91 inf + 28903 244.783 * * [simplify]: Extracting #6: cost 9 inf + 77183 244.792 * * [simplify]: Extracting #7: cost 0 inf + 82898 244.805 * * [simplify]: Extracting #8: cost 0 inf + 82859 244.815 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) 244.816 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 244.816 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 244.816 * * [simplify]: iters left: 6 (14 enodes) 244.821 * * [simplify]: iters left: 5 (60 enodes) 244.832 * * [simplify]: iters left: 4 (107 enodes) 244.869 * * [simplify]: iters left: 3 (216 enodes) 244.968 * * [simplify]: Extracting #0: cost 1 inf + 0 244.968 * * [simplify]: Extracting #1: cost 38 inf + 0 244.968 * * [simplify]: Extracting #2: cost 131 inf + 0 244.969 * * [simplify]: Extracting #3: cost 178 inf + 3 244.971 * * [simplify]: Extracting #4: cost 169 inf + 1468 244.975 * * [simplify]: Extracting #5: cost 104 inf + 17228 244.988 * * [simplify]: Extracting #6: cost 29 inf + 62839 245.007 * * [simplify]: Extracting #7: cost 0 inf + 84264 245.018 * * [simplify]: Extracting #8: cost 0 inf + 83241 245.028 * * [simplify]: Extracting #9: cost 0 inf + 83068 245.038 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))) 245.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))))) 245.038 * * * * [progress]: [ 385 / 471 ] simplifiying candidate # 245.038 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 245.038 * * [simplify]: iters left: 6 (18 enodes) 245.050 * * [simplify]: iters left: 5 (76 enodes) 245.074 * * [simplify]: iters left: 4 (122 enodes) 245.114 * * [simplify]: iters left: 3 (221 enodes) 245.174 * * [simplify]: Extracting #0: cost 1 inf + 0 245.174 * * [simplify]: Extracting #1: cost 31 inf + 0 245.175 * * [simplify]: Extracting #2: cost 95 inf + 0 245.175 * * [simplify]: Extracting #3: cost 145 inf + 1 245.176 * * [simplify]: Extracting #4: cost 148 inf + 1882 245.178 * * [simplify]: Extracting #5: cost 74 inf + 23304 245.186 * * [simplify]: Extracting #6: cost 6 inf + 69404 245.195 * * [simplify]: Extracting #7: cost 0 inf + 73987 245.205 * [simplify]: Simplified to (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k)))) 245.205 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* PI 2) (/ (- 1 k) 2))) (cbrt (pow (* PI 2) (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 245.206 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 245.206 * * [simplify]: iters left: 6 (16 enodes) 245.216 * * [simplify]: iters left: 5 (67 enodes) 245.235 * * [simplify]: iters left: 4 (107 enodes) 245.254 * * [simplify]: iters left: 3 (192 enodes) 245.323 * * [simplify]: iters left: 2 (407 enodes) 245.501 * * [simplify]: Extracting #0: cost 1 inf + 0 245.501 * * [simplify]: Extracting #1: cost 60 inf + 0 245.502 * * [simplify]: Extracting #2: cost 177 inf + 0 245.504 * * [simplify]: Extracting #3: cost 263 inf + 3 245.507 * * [simplify]: Extracting #4: cost 284 inf + 1209 245.511 * * [simplify]: Extracting #5: cost 205 inf + 30645 245.532 * * [simplify]: Extracting #6: cost 34 inf + 136468 245.570 * * [simplify]: Extracting #7: cost 0 inf + 161761 245.612 * * [simplify]: Extracting #8: cost 0 inf + 161759 245.640 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) (pow n (/ (- 1 k) 4))) 245.640 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (cbrt k))) (pow n (/ (- 1 k) 4))))) 245.640 * * * * [progress]: [ 386 / 471 ] simplifiying candidate # 245.641 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 245.641 * * [simplify]: iters left: 6 (17 enodes) 245.646 * * [simplify]: iters left: 5 (71 enodes) 245.673 * * [simplify]: iters left: 4 (112 enodes) 245.710 * * [simplify]: iters left: 3 (197 enodes) 245.761 * * [simplify]: iters left: 2 (406 enodes) 245.942 * * [simplify]: Extracting #0: cost 1 inf + 0 245.942 * * [simplify]: Extracting #1: cost 60 inf + 0 245.942 * * [simplify]: Extracting #2: cost 175 inf + 0 245.943 * * [simplify]: Extracting #3: cost 259 inf + 3 245.944 * * [simplify]: Extracting #4: cost 265 inf + 2578 245.949 * * [simplify]: Extracting #5: cost 172 inf + 35953 245.964 * * [simplify]: Extracting #6: cost 14 inf + 151379 246.002 * * [simplify]: Extracting #7: cost 0 inf + 162837 246.040 * * [simplify]: Extracting #8: cost 0 inf + 162313 246.083 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) 246.083 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (sqrt (pow (* PI 2) (/ (- 1 k) 2))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 246.084 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 246.084 * * [simplify]: iters left: 6 (16 enodes) 246.093 * * [simplify]: iters left: 5 (67 enodes) 246.106 * * [simplify]: iters left: 4 (108 enodes) 246.124 * * [simplify]: iters left: 3 (193 enodes) 246.176 * * [simplify]: iters left: 2 (408 enodes) 246.315 * * [simplify]: Extracting #0: cost 1 inf + 0 246.315 * * [simplify]: Extracting #1: cost 59 inf + 0 246.315 * * [simplify]: Extracting #2: cost 175 inf + 0 246.316 * * [simplify]: Extracting #3: cost 263 inf + 3 246.318 * * [simplify]: Extracting #4: cost 274 inf + 2829 246.322 * * [simplify]: Extracting #5: cost 183 inf + 31182 246.334 * * [simplify]: Extracting #6: cost 111 inf + 70196 246.366 * * [simplify]: Extracting #7: cost 28 inf + 137007 246.410 * * [simplify]: Extracting #8: cost 1 inf + 160875 246.449 * * [simplify]: Extracting #9: cost 0 inf + 161501 246.478 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 246.478 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))))) 246.478 * * * * [progress]: [ 387 / 471 ] simplifiying candidate # 246.479 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) 246.479 * * [simplify]: iters left: 6 (13 enodes) 246.483 * * [simplify]: iters left: 5 (53 enodes) 246.492 * * [simplify]: iters left: 4 (85 enodes) 246.509 * * [simplify]: iters left: 3 (138 enodes) 246.548 * * [simplify]: iters left: 2 (276 enodes) 246.625 * * [simplify]: Extracting #0: cost 1 inf + 0 246.626 * * [simplify]: Extracting #1: cost 18 inf + 0 246.626 * * [simplify]: Extracting #2: cost 56 inf + 1 246.626 * * [simplify]: Extracting #3: cost 117 inf + 4 246.627 * * [simplify]: Extracting #4: cost 120 inf + 919 246.628 * * [simplify]: Extracting #5: cost 79 inf + 6089 246.634 * * [simplify]: Extracting #6: cost 19 inf + 26441 246.643 * * [simplify]: Extracting #7: cost 2 inf + 37528 246.653 * * [simplify]: Extracting #8: cost 0 inf + 38345 246.663 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) 246.663 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 246.664 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 246.664 * * [simplify]: iters left: 6 (15 enodes) 246.673 * * [simplify]: iters left: 5 (64 enodes) 246.694 * * [simplify]: iters left: 4 (108 enodes) 246.737 * * [simplify]: iters left: 3 (214 enodes) 246.815 * * [simplify]: Extracting #0: cost 1 inf + 0 246.815 * * [simplify]: Extracting #1: cost 38 inf + 0 246.816 * * [simplify]: Extracting #2: cost 131 inf + 0 246.816 * * [simplify]: Extracting #3: cost 180 inf + 2 246.817 * * [simplify]: Extracting #4: cost 163 inf + 1787 246.819 * * [simplify]: Extracting #5: cost 105 inf + 17095 246.828 * * [simplify]: Extracting #6: cost 34 inf + 58832 246.847 * * [simplify]: Extracting #7: cost 0 inf + 84974 246.868 * * [simplify]: Extracting #8: cost 0 inf + 84147 246.878 * * [simplify]: Extracting #9: cost 0 inf + 83883 246.888 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 246.888 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 246.888 * * * * [progress]: [ 388 / 471 ] simplifiying candidate # 246.888 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 246.889 * * [simplify]: iters left: 6 (16 enodes) 246.894 * * [simplify]: iters left: 5 (68 enodes) 246.906 * * [simplify]: iters left: 4 (111 enodes) 246.937 * * [simplify]: iters left: 3 (212 enodes) 247.004 * * [simplify]: Extracting #0: cost 1 inf + 0 247.004 * * [simplify]: Extracting #1: cost 38 inf + 0 247.005 * * [simplify]: Extracting #2: cost 130 inf + 0 247.006 * * [simplify]: Extracting #3: cost 173 inf + 2 247.008 * * [simplify]: Extracting #4: cost 162 inf + 1337 247.011 * * [simplify]: Extracting #5: cost 118 inf + 12821 247.024 * * [simplify]: Extracting #6: cost 33 inf + 60697 247.045 * * [simplify]: Extracting #7: cost 0 inf + 87692 247.066 * * [simplify]: Extracting #8: cost 0 inf + 87651 247.091 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) 247.091 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (fabs (cbrt k)) (pow (* PI 2) (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 247.092 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 247.092 * * [simplify]: iters left: 6 (15 enodes) 247.101 * * [simplify]: iters left: 5 (64 enodes) 247.124 * * [simplify]: iters left: 4 (110 enodes) 247.162 * * [simplify]: iters left: 3 (215 enodes) 247.265 * * [simplify]: Extracting #0: cost 1 inf + 0 247.265 * * [simplify]: Extracting #1: cost 38 inf + 0 247.265 * * [simplify]: Extracting #2: cost 128 inf + 0 247.266 * * [simplify]: Extracting #3: cost 170 inf + 2 247.268 * * [simplify]: Extracting #4: cost 161 inf + 2000 247.272 * * [simplify]: Extracting #5: cost 112 inf + 14311 247.286 * * [simplify]: Extracting #6: cost 22 inf + 69016 247.306 * * [simplify]: Extracting #7: cost 0 inf + 86695 247.326 * * [simplify]: Extracting #8: cost 0 inf + 86694 247.346 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 4)))) 247.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (cbrt k)) (pow n (/ (- 1 k) 4)))))) 247.346 * * * * [progress]: [ 389 / 471 ] simplifiying candidate # 247.347 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 247.347 * * [simplify]: iters left: 6 (13 enodes) 247.355 * * [simplify]: iters left: 5 (57 enodes) 247.380 * * [simplify]: iters left: 4 (104 enodes) 247.408 * * [simplify]: iters left: 3 (213 enodes) 247.482 * * [simplify]: Extracting #0: cost 1 inf + 0 247.482 * * [simplify]: Extracting #1: cost 38 inf + 0 247.482 * * [simplify]: Extracting #2: cost 131 inf + 0 247.483 * * [simplify]: Extracting #3: cost 176 inf + 3 247.487 * * [simplify]: Extracting #4: cost 163 inf + 1423 247.489 * * [simplify]: Extracting #5: cost 104 inf + 16721 247.496 * * [simplify]: Extracting #6: cost 26 inf + 63498 247.505 * * [simplify]: Extracting #7: cost 0 inf + 81426 247.519 * * [simplify]: Extracting #8: cost 0 inf + 80617 247.529 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 247.529 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 247.529 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 247.529 * * [simplify]: iters left: 6 (14 enodes) 247.534 * * [simplify]: iters left: 5 (60 enodes) 247.545 * * [simplify]: iters left: 4 (107 enodes) 247.578 * * [simplify]: iters left: 3 (216 enodes) 247.653 * * [simplify]: Extracting #0: cost 1 inf + 0 247.653 * * [simplify]: Extracting #1: cost 38 inf + 0 247.654 * * [simplify]: Extracting #2: cost 131 inf + 0 247.655 * * [simplify]: Extracting #3: cost 178 inf + 3 247.656 * * [simplify]: Extracting #4: cost 169 inf + 1428 247.660 * * [simplify]: Extracting #5: cost 104 inf + 16668 247.674 * * [simplify]: Extracting #6: cost 29 inf + 60839 247.691 * * [simplify]: Extracting #7: cost 0 inf + 81664 247.703 * * [simplify]: Extracting #8: cost 0 inf + 80641 247.713 * * [simplify]: Extracting #9: cost 0 inf + 80468 247.732 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 247.733 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 247.733 * * * * [progress]: [ 390 / 471 ] simplifiying candidate # 247.733 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 247.733 * * [simplify]: iters left: 6 (17 enodes) 247.743 * * [simplify]: iters left: 5 (72 enodes) 247.766 * * [simplify]: iters left: 4 (118 enodes) 247.806 * * [simplify]: iters left: 3 (217 enodes) 247.873 * * [simplify]: iters left: 2 (492 enodes) 248.037 * * [simplify]: Extracting #0: cost 1 inf + 0 248.038 * * [simplify]: Extracting #1: cost 86 inf + 0 248.038 * * [simplify]: Extracting #2: cost 284 inf + 0 248.040 * * [simplify]: Extracting #3: cost 391 inf + 3 248.041 * * [simplify]: Extracting #4: cost 414 inf + 884 248.048 * * [simplify]: Extracting #5: cost 292 inf + 58090 248.092 * * [simplify]: Extracting #6: cost 47 inf + 238301 248.137 * * [simplify]: Extracting #7: cost 0 inf + 279478 248.170 * * [simplify]: Extracting #8: cost 0 inf + 278726 248.209 * * [simplify]: Extracting #9: cost 0 inf + 278686 248.275 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 248.275 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 248.276 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 248.276 * * [simplify]: iters left: 6 (16 enodes) 248.283 * * [simplify]: iters left: 5 (67 enodes) 248.294 * * [simplify]: iters left: 4 (107 enodes) 248.312 * * [simplify]: iters left: 3 (192 enodes) 248.386 * * [simplify]: iters left: 2 (407 enodes) 248.532 * * [simplify]: Extracting #0: cost 1 inf + 0 248.532 * * [simplify]: Extracting #1: cost 60 inf + 0 248.533 * * [simplify]: Extracting #2: cost 177 inf + 0 248.535 * * [simplify]: Extracting #3: cost 263 inf + 3 248.537 * * [simplify]: Extracting #4: cost 284 inf + 1049 248.544 * * [simplify]: Extracting #5: cost 205 inf + 29885 248.581 * * [simplify]: Extracting #6: cost 34 inf + 133228 248.622 * * [simplify]: Extracting #7: cost 0 inf + 157801 248.643 * * [simplify]: Extracting #8: cost 0 inf + 157799 248.673 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow n (/ (- 1 k) 4))) 248.673 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow n (/ (- 1 k) 4))))) 248.673 * * * * [progress]: [ 391 / 471 ] simplifiying candidate # 248.673 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 248.673 * * [simplify]: iters left: 6 (16 enodes) 248.678 * * [simplify]: iters left: 5 (67 enodes) 248.692 * * [simplify]: iters left: 4 (108 enodes) 248.720 * * [simplify]: iters left: 3 (193 enodes) 248.771 * * [simplify]: iters left: 2 (408 enodes) 248.905 * * [simplify]: Extracting #0: cost 1 inf + 0 248.905 * * [simplify]: Extracting #1: cost 59 inf + 0 248.905 * * [simplify]: Extracting #2: cost 175 inf + 0 248.906 * * [simplify]: Extracting #3: cost 263 inf + 3 248.908 * * [simplify]: Extracting #4: cost 274 inf + 2709 248.912 * * [simplify]: Extracting #5: cost 183 inf + 30382 248.930 * * [simplify]: Extracting #6: cost 111 inf + 68116 248.962 * * [simplify]: Extracting #7: cost 28 inf + 133407 248.993 * * [simplify]: Extracting #8: cost 1 inf + 156915 249.023 * * [simplify]: Extracting #9: cost 0 inf + 157541 249.048 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 249.048 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 249.048 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 249.048 * * [simplify]: iters left: 6 (16 enodes) 249.053 * * [simplify]: iters left: 5 (67 enodes) 249.067 * * [simplify]: iters left: 4 (108 enodes) 249.102 * * [simplify]: iters left: 3 (193 enodes) 249.153 * * [simplify]: iters left: 2 (408 enodes) 249.273 * * [simplify]: Extracting #0: cost 1 inf + 0 249.274 * * [simplify]: Extracting #1: cost 59 inf + 0 249.274 * * [simplify]: Extracting #2: cost 175 inf + 0 249.276 * * [simplify]: Extracting #3: cost 263 inf + 3 249.279 * * [simplify]: Extracting #4: cost 274 inf + 2709 249.288 * * [simplify]: Extracting #5: cost 183 inf + 30382 249.297 * * [simplify]: Extracting #6: cost 111 inf + 68116 249.318 * * [simplify]: Extracting #7: cost 28 inf + 133407 249.347 * * [simplify]: Extracting #8: cost 1 inf + 156915 249.366 * * [simplify]: Extracting #9: cost 0 inf + 157541 249.395 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 249.395 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))))) 249.396 * * * * [progress]: [ 392 / 471 ] simplifiying candidate # 249.396 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) 249.396 * * [simplify]: iters left: 6 (12 enodes) 249.404 * * [simplify]: iters left: 5 (50 enodes) 249.422 * * [simplify]: iters left: 4 (82 enodes) 249.447 * * [simplify]: iters left: 3 (137 enodes) 249.473 * * [simplify]: iters left: 2 (266 enodes) 249.581 * * [simplify]: Extracting #0: cost 1 inf + 0 249.582 * * [simplify]: Extracting #1: cost 28 inf + 0 249.582 * * [simplify]: Extracting #2: cost 83 inf + 1 249.583 * * [simplify]: Extracting #3: cost 139 inf + 4 249.584 * * [simplify]: Extracting #4: cost 143 inf + 469 249.587 * * [simplify]: Extracting #5: cost 81 inf + 12867 249.597 * * [simplify]: Extracting #6: cost 14 inf + 45687 249.611 * * [simplify]: Extracting #7: cost 0 inf + 54890 249.623 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) 249.623 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 249.623 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 249.623 * * [simplify]: iters left: 6 (15 enodes) 249.627 * * [simplify]: iters left: 5 (64 enodes) 249.638 * * [simplify]: iters left: 4 (108 enodes) 249.665 * * [simplify]: iters left: 3 (214 enodes) 249.736 * * [simplify]: Extracting #0: cost 1 inf + 0 249.736 * * [simplify]: Extracting #1: cost 38 inf + 0 249.736 * * [simplify]: Extracting #2: cost 131 inf + 0 249.737 * * [simplify]: Extracting #3: cost 180 inf + 2 249.738 * * [simplify]: Extracting #4: cost 163 inf + 1667 249.742 * * [simplify]: Extracting #5: cost 105 inf + 16535 249.756 * * [simplify]: Extracting #6: cost 34 inf + 56992 249.780 * * [simplify]: Extracting #7: cost 0 inf + 82374 249.794 * * [simplify]: Extracting #8: cost 0 inf + 81547 249.804 * * [simplify]: Extracting #9: cost 0 inf + 81283 249.814 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 249.814 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 249.814 * * * * [progress]: [ 393 / 471 ] simplifiying candidate # 249.814 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 249.815 * * [simplify]: iters left: 6 (15 enodes) 249.820 * * [simplify]: iters left: 5 (64 enodes) 249.836 * * [simplify]: iters left: 4 (110 enodes) 249.869 * * [simplify]: iters left: 3 (215 enodes) 249.947 * * [simplify]: Extracting #0: cost 1 inf + 0 249.947 * * [simplify]: Extracting #1: cost 38 inf + 0 249.947 * * [simplify]: Extracting #2: cost 128 inf + 0 249.948 * * [simplify]: Extracting #3: cost 170 inf + 2 249.950 * * [simplify]: Extracting #4: cost 161 inf + 1840 249.953 * * [simplify]: Extracting #5: cost 112 inf + 13671 249.967 * * [simplify]: Extracting #6: cost 22 inf + 66896 249.988 * * [simplify]: Extracting #7: cost 0 inf + 84095 250.010 * * [simplify]: Extracting #8: cost 0 inf + 84094 250.026 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 250.026 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 250.026 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 250.026 * * [simplify]: iters left: 6 (15 enodes) 250.031 * * [simplify]: iters left: 5 (64 enodes) 250.042 * * [simplify]: iters left: 4 (110 enodes) 250.066 * * [simplify]: iters left: 3 (215 enodes) 250.169 * * [simplify]: Extracting #0: cost 1 inf + 0 250.170 * * [simplify]: Extracting #1: cost 38 inf + 0 250.170 * * [simplify]: Extracting #2: cost 128 inf + 0 250.171 * * [simplify]: Extracting #3: cost 170 inf + 2 250.173 * * [simplify]: Extracting #4: cost 161 inf + 1840 250.176 * * [simplify]: Extracting #5: cost 112 inf + 13671 250.190 * * [simplify]: Extracting #6: cost 22 inf + 66896 250.210 * * [simplify]: Extracting #7: cost 0 inf + 84095 250.230 * * [simplify]: Extracting #8: cost 0 inf + 84094 250.249 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 250.249 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 250.249 * * * * [progress]: [ 394 / 471 ] simplifiying candidate # 250.249 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 250.249 * * [simplify]: iters left: 6 (12 enodes) 250.254 * * [simplify]: iters left: 5 (54 enodes) 250.266 * * [simplify]: iters left: 4 (93 enodes) 250.283 * * [simplify]: iters left: 3 (186 enodes) 250.333 * * [simplify]: Extracting #0: cost 1 inf + 0 250.333 * * [simplify]: Extracting #1: cost 42 inf + 0 250.334 * * [simplify]: Extracting #2: cost 120 inf + 1 250.335 * * [simplify]: Extracting #3: cost 154 inf + 4 250.336 * * [simplify]: Extracting #4: cost 158 inf + 11 250.337 * * [simplify]: Extracting #5: cost 148 inf + 1180 250.340 * * [simplify]: Extracting #6: cost 98 inf + 11757 250.354 * * [simplify]: Extracting #7: cost 30 inf + 46707 250.367 * * [simplify]: Extracting #8: cost 0 inf + 67471 250.375 * * [simplify]: Extracting #9: cost 0 inf + 67097 250.382 * [simplify]: Simplified to (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) 250.382 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 250.383 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 250.383 * * [simplify]: iters left: 6 (13 enodes) 250.387 * * [simplify]: iters left: 5 (57 enodes) 250.397 * * [simplify]: iters left: 4 (104 enodes) 250.424 * * [simplify]: iters left: 3 (213 enodes) 250.482 * * [simplify]: Extracting #0: cost 1 inf + 0 250.482 * * [simplify]: Extracting #1: cost 38 inf + 0 250.483 * * [simplify]: Extracting #2: cost 131 inf + 0 250.484 * * [simplify]: Extracting #3: cost 173 inf + 45 250.485 * * [simplify]: Extracting #4: cost 158 inf + 1631 250.489 * * [simplify]: Extracting #5: cost 108 inf + 14792 250.502 * * [simplify]: Extracting #6: cost 24 inf + 61856 250.519 * * [simplify]: Extracting #7: cost 0 inf + 77902 250.530 * * [simplify]: Extracting #8: cost 0 inf + 77558 250.539 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 250.539 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 250.539 * * * * [progress]: [ 395 / 471 ] simplifiying candidate # 250.539 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 250.539 * * [simplify]: iters left: 6 (16 enodes) 250.548 * * [simplify]: iters left: 5 (69 enodes) 250.559 * * [simplify]: iters left: 4 (116 enodes) 250.597 * * [simplify]: iters left: 3 (217 enodes) 250.656 * * [simplify]: iters left: 2 (495 enodes) 250.921 * * [simplify]: Extracting #0: cost 1 inf + 0 250.922 * * [simplify]: Extracting #1: cost 87 inf + 0 250.922 * * [simplify]: Extracting #2: cost 260 inf + 1 250.924 * * [simplify]: Extracting #3: cost 347 inf + 4 250.926 * * [simplify]: Extracting #4: cost 386 inf + 13 250.933 * * [simplify]: Extracting #5: cost 273 inf + 44248 250.977 * * [simplify]: Extracting #6: cost 52 inf + 180884 251.044 * * [simplify]: Extracting #7: cost 0 inf + 228697 251.114 * * [simplify]: Extracting #8: cost 0 inf + 228177 251.150 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16))) (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16)))) 251.150 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16))) (* (* (pow n (/ (- 1 k) 16)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 16)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 251.150 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 251.150 * * [simplify]: iters left: 6 (15 enodes) 251.159 * * [simplify]: iters left: 5 (64 enodes) 251.181 * * [simplify]: iters left: 4 (107 enodes) 251.219 * * [simplify]: iters left: 3 (195 enodes) 251.292 * * [simplify]: iters left: 2 (404 enodes) 251.419 * * [simplify]: Extracting #0: cost 1 inf + 0 251.419 * * [simplify]: Extracting #1: cost 60 inf + 0 251.420 * * [simplify]: Extracting #2: cost 172 inf + 0 251.421 * * [simplify]: Extracting #3: cost 253 inf + 45 251.422 * * [simplify]: Extracting #4: cost 255 inf + 4871 251.426 * * [simplify]: Extracting #5: cost 184 inf + 29894 251.795 * * [simplify]: Extracting #6: cost 52 inf + 113709 251.814 * * [simplify]: Extracting #7: cost 0 inf + 157561 251.833 * * [simplify]: Extracting #8: cost 0 inf + 157401 251.852 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 251.852 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 251.852 * * * * [progress]: [ 396 / 471 ] simplifiying candidate # 251.852 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 251.853 * * [simplify]: iters left: 6 (15 enodes) 251.857 * * [simplify]: iters left: 5 (64 enodes) 251.878 * * [simplify]: iters left: 4 (103 enodes) 251.895 * * [simplify]: iters left: 3 (181 enodes) 251.939 * * [simplify]: iters left: 2 (385 enodes) 252.073 * * [simplify]: Extracting #0: cost 1 inf + 0 252.074 * * [simplify]: Extracting #1: cost 50 inf + 0 252.074 * * [simplify]: Extracting #2: cost 139 inf + 1 252.076 * * [simplify]: Extracting #3: cost 215 inf + 4 252.077 * * [simplify]: Extracting #4: cost 251 inf + 13 252.081 * * [simplify]: Extracting #5: cost 212 inf + 11005 252.094 * * [simplify]: Extracting #6: cost 103 inf + 47010 252.116 * * [simplify]: Extracting #7: cost 40 inf + 87598 252.148 * * [simplify]: Extracting #8: cost 0 inf + 120495 252.180 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) 252.180 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 252.180 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 252.181 * * [simplify]: iters left: 6 (15 enodes) 252.190 * * [simplify]: iters left: 5 (64 enodes) 252.216 * * [simplify]: iters left: 4 (108 enodes) 252.249 * * [simplify]: iters left: 3 (196 enodes) 252.301 * * [simplify]: iters left: 2 (410 enodes) 252.446 * * [simplify]: Extracting #0: cost 1 inf + 0 252.446 * * [simplify]: Extracting #1: cost 60 inf + 0 252.447 * * [simplify]: Extracting #2: cost 172 inf + 0 252.448 * * [simplify]: Extracting #3: cost 252 inf + 86 252.449 * * [simplify]: Extracting #4: cost 268 inf + 2284 252.454 * * [simplify]: Extracting #5: cost 194 inf + 27969 252.473 * * [simplify]: Extracting #6: cost 89 inf + 85592 252.508 * * [simplify]: Extracting #7: cost 12 inf + 145505 252.545 * * [simplify]: Extracting #8: cost 0 inf + 155816 252.587 * * [simplify]: Extracting #9: cost 0 inf + 155312 252.623 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 252.623 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 252.623 * * * * [progress]: [ 397 / 471 ] simplifiying candidate # 252.623 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) 1)) 252.624 * * [simplify]: iters left: 6 (11 enodes) 252.628 * * [simplify]: iters left: 5 (47 enodes) 252.637 * * [simplify]: iters left: 4 (75 enodes) 252.651 * * [simplify]: iters left: 3 (124 enodes) 252.697 * * [simplify]: iters left: 2 (228 enodes) 252.792 * * [simplify]: iters left: 1 (477 enodes) 253.059 * * [simplify]: Extracting #0: cost 1 inf + 0 253.059 * * [simplify]: Extracting #1: cost 56 inf + 0 253.060 * * [simplify]: Extracting #2: cost 161 inf + 3 253.061 * * [simplify]: Extracting #3: cost 217 inf + 10 253.062 * * [simplify]: Extracting #4: cost 186 inf + 6668 253.068 * * [simplify]: Extracting #5: cost 93 inf + 30129 253.094 * * [simplify]: Extracting #6: cost 15 inf + 78474 253.121 * * [simplify]: Extracting #7: cost 0 inf + 90265 253.146 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 253.146 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/4 (/ k 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 253.147 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 253.147 * * [simplify]: iters left: 6 (14 enodes) 253.156 * * [simplify]: iters left: 5 (61 enodes) 253.177 * * [simplify]: iters left: 4 (108 enodes) 253.217 * * [simplify]: iters left: 3 (217 enodes) 253.303 * * [simplify]: Extracting #0: cost 1 inf + 0 253.303 * * [simplify]: Extracting #1: cost 38 inf + 0 253.303 * * [simplify]: Extracting #2: cost 131 inf + 0 253.304 * * [simplify]: Extracting #3: cost 177 inf + 44 253.305 * * [simplify]: Extracting #4: cost 165 inf + 1962 253.307 * * [simplify]: Extracting #5: cost 107 inf + 18412 253.315 * * [simplify]: Extracting #6: cost 13 inf + 73932 253.325 * * [simplify]: Extracting #7: cost 0 inf + 81746 253.337 * * [simplify]: Extracting #8: cost 0 inf + 80825 253.347 * * [simplify]: Extracting #9: cost 0 inf + 80693 253.357 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 253.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) 1)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 253.357 * * * * [progress]: [ 398 / 471 ] simplifiying candidate # 253.357 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 253.358 * * [simplify]: iters left: 6 (14 enodes) 253.364 * * [simplify]: iters left: 5 (61 enodes) 253.379 * * [simplify]: iters left: 4 (102 enodes) 253.398 * * [simplify]: iters left: 3 (194 enodes) 253.483 * * [simplify]: Extracting #0: cost 1 inf + 0 253.483 * * [simplify]: Extracting #1: cost 40 inf + 0 253.484 * * [simplify]: Extracting #2: cost 115 inf + 1 253.485 * * [simplify]: Extracting #3: cost 152 inf + 3 253.486 * * [simplify]: Extracting #4: cost 160 inf + 11 253.488 * * [simplify]: Extracting #5: cost 143 inf + 2888 253.494 * * [simplify]: Extracting #6: cost 72 inf + 26213 253.508 * * [simplify]: Extracting #7: cost 11 inf + 61737 253.525 * * [simplify]: Extracting #8: cost 0 inf + 68181 253.542 * * [simplify]: Extracting #9: cost 0 inf + 68180 253.559 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) 253.560 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 253.560 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 253.560 * * [simplify]: iters left: 6 (14 enodes) 253.569 * * [simplify]: iters left: 5 (61 enodes) 253.594 * * [simplify]: iters left: 4 (107 enodes) 253.632 * * [simplify]: iters left: 3 (212 enodes) 253.709 * * [simplify]: Extracting #0: cost 1 inf + 0 253.709 * * [simplify]: Extracting #1: cost 38 inf + 0 253.709 * * [simplify]: Extracting #2: cost 129 inf + 0 253.710 * * [simplify]: Extracting #3: cost 169 inf + 44 253.712 * * [simplify]: Extracting #4: cost 167 inf + 1136 253.715 * * [simplify]: Extracting #5: cost 126 inf + 9376 253.727 * * [simplify]: Extracting #6: cost 30 inf + 59464 253.745 * * [simplify]: Extracting #7: cost 3 inf + 79747 253.763 * * [simplify]: Extracting #8: cost 0 inf + 82102 253.772 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 253.772 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 253.772 * * * * [progress]: [ 399 / 471 ] simplifiying candidate # 253.773 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 253.773 * * [simplify]: iters left: 6 (13 enodes) 253.777 * * [simplify]: iters left: 5 (57 enodes) 253.788 * * [simplify]: iters left: 4 (104 enodes) 253.824 * * [simplify]: iters left: 3 (213 enodes) 253.893 * * [simplify]: Extracting #0: cost 1 inf + 0 253.893 * * [simplify]: Extracting #1: cost 38 inf + 0 253.894 * * [simplify]: Extracting #2: cost 131 inf + 0 253.895 * * [simplify]: Extracting #3: cost 176 inf + 3 253.896 * * [simplify]: Extracting #4: cost 163 inf + 1423 253.901 * * [simplify]: Extracting #5: cost 104 inf + 16721 253.914 * * [simplify]: Extracting #6: cost 26 inf + 63498 253.931 * * [simplify]: Extracting #7: cost 0 inf + 81426 253.941 * * [simplify]: Extracting #8: cost 0 inf + 80617 253.950 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 253.950 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 253.950 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 253.950 * * [simplify]: iters left: 6 (14 enodes) 253.954 * * [simplify]: iters left: 5 (60 enodes) 253.972 * * [simplify]: iters left: 4 (107 enodes) 254.009 * * [simplify]: iters left: 3 (216 enodes) 254.065 * * [simplify]: Extracting #0: cost 1 inf + 0 254.065 * * [simplify]: Extracting #1: cost 38 inf + 0 254.065 * * [simplify]: Extracting #2: cost 131 inf + 0 254.066 * * [simplify]: Extracting #3: cost 178 inf + 3 254.066 * * [simplify]: Extracting #4: cost 169 inf + 1428 254.068 * * [simplify]: Extracting #5: cost 104 inf + 16668 254.078 * * [simplify]: Extracting #6: cost 29 inf + 60839 254.096 * * [simplify]: Extracting #7: cost 0 inf + 81664 254.116 * * [simplify]: Extracting #8: cost 0 inf + 80641 254.137 * * [simplify]: Extracting #9: cost 0 inf + 80468 254.159 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 254.160 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 254.160 * * * * [progress]: [ 400 / 471 ] simplifiying candidate # 254.160 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 254.161 * * [simplify]: iters left: 6 (17 enodes) 254.170 * * [simplify]: iters left: 5 (72 enodes) 254.194 * * [simplify]: iters left: 4 (118 enodes) 254.235 * * [simplify]: iters left: 3 (217 enodes) 254.302 * * [simplify]: iters left: 2 (492 enodes) 254.473 * * [simplify]: Extracting #0: cost 1 inf + 0 254.474 * * [simplify]: Extracting #1: cost 86 inf + 0 254.475 * * [simplify]: Extracting #2: cost 284 inf + 0 254.478 * * [simplify]: Extracting #3: cost 391 inf + 3 254.481 * * [simplify]: Extracting #4: cost 414 inf + 884 254.493 * * [simplify]: Extracting #5: cost 292 inf + 58090 254.542 * * [simplify]: Extracting #6: cost 47 inf + 238301 254.593 * * [simplify]: Extracting #7: cost 0 inf + 279478 254.649 * * [simplify]: Extracting #8: cost 0 inf + 278726 254.692 * * [simplify]: Extracting #9: cost 0 inf + 278686 254.738 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 254.738 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 254.738 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 254.739 * * [simplify]: iters left: 6 (16 enodes) 254.748 * * [simplify]: iters left: 5 (67 enodes) 254.769 * * [simplify]: iters left: 4 (107 enodes) 254.805 * * [simplify]: iters left: 3 (192 enodes) 254.860 * * [simplify]: iters left: 2 (407 enodes) 254.989 * * [simplify]: Extracting #0: cost 1 inf + 0 254.989 * * [simplify]: Extracting #1: cost 60 inf + 0 254.990 * * [simplify]: Extracting #2: cost 177 inf + 0 254.992 * * [simplify]: Extracting #3: cost 263 inf + 3 254.994 * * [simplify]: Extracting #4: cost 284 inf + 1049 255.002 * * [simplify]: Extracting #5: cost 205 inf + 29885 255.034 * * [simplify]: Extracting #6: cost 34 inf + 133228 255.082 * * [simplify]: Extracting #7: cost 0 inf + 157801 255.125 * * [simplify]: Extracting #8: cost 0 inf + 157799 255.168 * [simplify]: Simplified to (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow n (/ (- 1 k) 4))) 255.168 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (* (/ (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (pow n (/ (- 1 k) 4))))) 255.168 * * * * [progress]: [ 401 / 471 ] simplifiying candidate # 255.169 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 255.169 * * [simplify]: iters left: 6 (16 enodes) 255.178 * * [simplify]: iters left: 5 (67 enodes) 255.201 * * [simplify]: iters left: 4 (108 enodes) 255.239 * * [simplify]: iters left: 3 (193 enodes) 255.281 * * [simplify]: iters left: 2 (408 enodes) 255.425 * * [simplify]: Extracting #0: cost 1 inf + 0 255.426 * * [simplify]: Extracting #1: cost 59 inf + 0 255.427 * * [simplify]: Extracting #2: cost 175 inf + 0 255.429 * * [simplify]: Extracting #3: cost 263 inf + 3 255.432 * * [simplify]: Extracting #4: cost 274 inf + 2709 255.446 * * [simplify]: Extracting #5: cost 183 inf + 30382 255.465 * * [simplify]: Extracting #6: cost 111 inf + 68116 255.495 * * [simplify]: Extracting #7: cost 28 inf + 133407 255.534 * * [simplify]: Extracting #8: cost 1 inf + 156915 255.573 * * [simplify]: Extracting #9: cost 0 inf + 157541 255.613 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 255.613 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 255.613 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 255.614 * * [simplify]: iters left: 6 (16 enodes) 255.619 * * [simplify]: iters left: 5 (67 enodes) 255.630 * * [simplify]: iters left: 4 (108 enodes) 255.652 * * [simplify]: iters left: 3 (193 enodes) 255.731 * * [simplify]: iters left: 2 (408 enodes) 255.886 * * [simplify]: Extracting #0: cost 1 inf + 0 255.886 * * [simplify]: Extracting #1: cost 59 inf + 0 255.887 * * [simplify]: Extracting #2: cost 175 inf + 0 255.889 * * [simplify]: Extracting #3: cost 263 inf + 3 255.892 * * [simplify]: Extracting #4: cost 274 inf + 2709 255.901 * * [simplify]: Extracting #5: cost 183 inf + 30382 255.918 * * [simplify]: Extracting #6: cost 111 inf + 68116 255.950 * * [simplify]: Extracting #7: cost 28 inf + 133407 255.977 * * [simplify]: Extracting #8: cost 1 inf + 156915 256.006 * * [simplify]: Extracting #9: cost 0 inf + 157541 256.034 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))) 256.035 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 8)) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 8)))))) 256.035 * * * * [progress]: [ 402 / 471 ] simplifiying candidate # 256.035 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) 256.035 * * [simplify]: iters left: 6 (12 enodes) 256.039 * * [simplify]: iters left: 5 (50 enodes) 256.048 * * [simplify]: iters left: 4 (82 enodes) 256.063 * * [simplify]: iters left: 3 (137 enodes) 256.099 * * [simplify]: iters left: 2 (266 enodes) 256.176 * * [simplify]: Extracting #0: cost 1 inf + 0 256.176 * * [simplify]: Extracting #1: cost 28 inf + 0 256.176 * * [simplify]: Extracting #2: cost 83 inf + 1 256.177 * * [simplify]: Extracting #3: cost 139 inf + 4 256.177 * * [simplify]: Extracting #4: cost 143 inf + 469 256.179 * * [simplify]: Extracting #5: cost 81 inf + 12867 256.184 * * [simplify]: Extracting #6: cost 14 inf + 45687 256.191 * * [simplify]: Extracting #7: cost 0 inf + 54890 256.198 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) 256.198 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 256.198 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 256.198 * * [simplify]: iters left: 6 (15 enodes) 256.203 * * [simplify]: iters left: 5 (64 enodes) 256.215 * * [simplify]: iters left: 4 (108 enodes) 256.234 * * [simplify]: iters left: 3 (214 enodes) 256.284 * * [simplify]: Extracting #0: cost 1 inf + 0 256.284 * * [simplify]: Extracting #1: cost 38 inf + 0 256.284 * * [simplify]: Extracting #2: cost 131 inf + 0 256.285 * * [simplify]: Extracting #3: cost 180 inf + 2 256.286 * * [simplify]: Extracting #4: cost 163 inf + 1667 256.288 * * [simplify]: Extracting #5: cost 105 inf + 16535 256.295 * * [simplify]: Extracting #6: cost 34 inf + 56992 256.304 * * [simplify]: Extracting #7: cost 0 inf + 82374 256.315 * * [simplify]: Extracting #8: cost 0 inf + 81547 256.331 * * [simplify]: Extracting #9: cost 0 inf + 81283 256.350 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 256.351 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) 1)) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))))) 256.351 * * * * [progress]: [ 403 / 471 ] simplifiying candidate # 256.351 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 256.351 * * [simplify]: iters left: 6 (15 enodes) 256.357 * * [simplify]: iters left: 5 (64 enodes) 256.368 * * [simplify]: iters left: 4 (110 enodes) 256.389 * * [simplify]: iters left: 3 (215 enodes) 256.456 * * [simplify]: Extracting #0: cost 1 inf + 0 256.456 * * [simplify]: Extracting #1: cost 38 inf + 0 256.456 * * [simplify]: Extracting #2: cost 128 inf + 0 256.456 * * [simplify]: Extracting #3: cost 170 inf + 2 256.458 * * [simplify]: Extracting #4: cost 161 inf + 1840 256.459 * * [simplify]: Extracting #5: cost 112 inf + 13671 256.466 * * [simplify]: Extracting #6: cost 22 inf + 66896 256.476 * * [simplify]: Extracting #7: cost 0 inf + 84095 256.486 * * [simplify]: Extracting #8: cost 0 inf + 84094 256.496 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 256.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 256.497 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 256.497 * * [simplify]: iters left: 6 (15 enodes) 256.501 * * [simplify]: iters left: 5 (64 enodes) 256.516 * * [simplify]: iters left: 4 (110 enodes) 256.535 * * [simplify]: iters left: 3 (215 enodes) 256.610 * * [simplify]: Extracting #0: cost 1 inf + 0 256.610 * * [simplify]: Extracting #1: cost 38 inf + 0 256.611 * * [simplify]: Extracting #2: cost 128 inf + 0 256.611 * * [simplify]: Extracting #3: cost 170 inf + 2 256.612 * * [simplify]: Extracting #4: cost 161 inf + 1840 256.615 * * [simplify]: Extracting #5: cost 112 inf + 13671 256.623 * * [simplify]: Extracting #6: cost 22 inf + 66896 256.639 * * [simplify]: Extracting #7: cost 0 inf + 84095 256.649 * * [simplify]: Extracting #8: cost 0 inf + 84094 256.659 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))) 256.660 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 4)))))) 256.660 * * * * [progress]: [ 404 / 471 ] simplifiying candidate # 256.660 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 256.660 * * [simplify]: iters left: 6 (11 enodes) 256.664 * * [simplify]: iters left: 5 (51 enodes) 256.676 * * [simplify]: iters left: 4 (94 enodes) 256.710 * * [simplify]: iters left: 3 (200 enodes) 256.777 * * [simplify]: Extracting #0: cost 1 inf + 0 256.778 * * [simplify]: Extracting #1: cost 41 inf + 0 256.778 * * [simplify]: Extracting #2: cost 123 inf + 1 256.779 * * [simplify]: Extracting #3: cost 158 inf + 4 256.780 * * [simplify]: Extracting #4: cost 163 inf + 11 256.782 * * [simplify]: Extracting #5: cost 145 inf + 2384 256.787 * * [simplify]: Extracting #6: cost 78 inf + 23174 256.801 * * [simplify]: Extracting #7: cost 9 inf + 62122 256.823 * * [simplify]: Extracting #8: cost 0 inf + 68132 256.840 * * [simplify]: Extracting #9: cost 0 inf + 68012 256.851 * * [simplify]: Extracting #10: cost 0 inf + 67972 256.859 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) 256.860 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 256.860 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 256.860 * * [simplify]: iters left: 6 (13 enodes) 256.864 * * [simplify]: iters left: 5 (57 enodes) 256.875 * * [simplify]: iters left: 4 (104 enodes) 256.911 * * [simplify]: iters left: 3 (213 enodes) 256.995 * * [simplify]: Extracting #0: cost 1 inf + 0 256.995 * * [simplify]: Extracting #1: cost 38 inf + 0 256.996 * * [simplify]: Extracting #2: cost 131 inf + 0 256.996 * * [simplify]: Extracting #3: cost 173 inf + 45 256.997 * * [simplify]: Extracting #4: cost 158 inf + 1631 256.999 * * [simplify]: Extracting #5: cost 108 inf + 14792 257.006 * * [simplify]: Extracting #6: cost 24 inf + 61856 257.016 * * [simplify]: Extracting #7: cost 0 inf + 77902 257.025 * * [simplify]: Extracting #8: cost 0 inf + 77558 257.034 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 257.034 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 257.034 * * * * [progress]: [ 405 / 471 ] simplifiying candidate # 257.036 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 257.037 * * [simplify]: iters left: 6 (15 enodes) 257.046 * * [simplify]: iters left: 5 (66 enodes) 257.064 * * [simplify]: iters left: 4 (108 enodes) 257.090 * * [simplify]: iters left: 3 (213 enodes) 257.160 * * [simplify]: Extracting #0: cost 1 inf + 0 257.160 * * [simplify]: Extracting #1: cost 34 inf + 0 257.161 * * [simplify]: Extracting #2: cost 92 inf + 1 257.162 * * [simplify]: Extracting #3: cost 138 inf + 2 257.163 * * [simplify]: Extracting #4: cost 159 inf + 10 257.164 * * [simplify]: Extracting #5: cost 142 inf + 1760 257.169 * * [simplify]: Extracting #6: cost 92 inf + 13076 257.176 * * [simplify]: Extracting #7: cost 27 inf + 52454 257.184 * * [simplify]: Extracting #8: cost 0 inf + 72833 257.193 * * [simplify]: Extracting #9: cost 0 inf + 72753 257.203 * [simplify]: Simplified to (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 4))) 257.203 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 257.204 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 257.204 * * [simplify]: iters left: 6 (15 enodes) 257.213 * * [simplify]: iters left: 5 (64 enodes) 257.226 * * [simplify]: iters left: 4 (107 enodes) 257.249 * * [simplify]: iters left: 3 (195 enodes) 257.298 * * [simplify]: iters left: 2 (404 enodes) 257.420 * * [simplify]: Extracting #0: cost 1 inf + 0 257.420 * * [simplify]: Extracting #1: cost 60 inf + 0 257.421 * * [simplify]: Extracting #2: cost 172 inf + 0 257.423 * * [simplify]: Extracting #3: cost 253 inf + 45 257.426 * * [simplify]: Extracting #4: cost 255 inf + 4871 257.438 * * [simplify]: Extracting #5: cost 184 inf + 29894 257.453 * * [simplify]: Extracting #6: cost 52 inf + 113709 257.471 * * [simplify]: Extracting #7: cost 0 inf + 157561 257.498 * * [simplify]: Extracting #8: cost 0 inf + 157401 257.517 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) 257.517 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 257.517 * * * * [progress]: [ 406 / 471 ] simplifiying candidate # 257.517 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 257.517 * * [simplify]: iters left: 6 (14 enodes) 257.526 * * [simplify]: iters left: 5 (61 enodes) 257.550 * * [simplify]: iters left: 4 (101 enodes) 257.586 * * [simplify]: iters left: 3 (190 enodes) 257.633 * * [simplify]: iters left: 2 (405 enodes) 257.771 * * [simplify]: Extracting #0: cost 1 inf + 0 257.771 * * [simplify]: Extracting #1: cost 64 inf + 0 257.773 * * [simplify]: Extracting #2: cost 183 inf + 1 257.774 * * [simplify]: Extracting #3: cost 273 inf + 4 257.777 * * [simplify]: Extracting #4: cost 310 inf + 13 257.781 * * [simplify]: Extracting #5: cost 300 inf + 1762 257.790 * * [simplify]: Extracting #6: cost 189 inf + 33908 257.823 * * [simplify]: Extracting #7: cost 51 inf + 123654 257.844 * * [simplify]: Extracting #8: cost 0 inf + 166639 257.870 * * [simplify]: Extracting #9: cost 0 inf + 165919 257.900 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) 257.900 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 4))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))))) 257.900 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) 257.901 * * [simplify]: iters left: 6 (15 enodes) 257.905 * * [simplify]: iters left: 5 (64 enodes) 257.921 * * [simplify]: iters left: 4 (108 enodes) 257.958 * * [simplify]: iters left: 3 (196 enodes) 258.032 * * [simplify]: iters left: 2 (410 enodes) 258.155 * * [simplify]: Extracting #0: cost 1 inf + 0 258.155 * * [simplify]: Extracting #1: cost 60 inf + 0 258.156 * * [simplify]: Extracting #2: cost 172 inf + 0 258.156 * * [simplify]: Extracting #3: cost 252 inf + 86 258.158 * * [simplify]: Extracting #4: cost 268 inf + 2284 258.162 * * [simplify]: Extracting #5: cost 194 inf + 27969 258.171 * * [simplify]: Extracting #6: cost 89 inf + 85592 258.202 * * [simplify]: Extracting #7: cost 12 inf + 145505 258.224 * * [simplify]: Extracting #8: cost 0 inf + 155816 258.246 * * [simplify]: Extracting #9: cost 0 inf + 155312 258.281 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 258.281 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 258.282 * * * * [progress]: [ 407 / 471 ] simplifiying candidate # 258.282 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 1)) 258.282 * * [simplify]: iters left: 6 (10 enodes) 258.289 * * [simplify]: iters left: 5 (42 enodes) 258.304 * * [simplify]: iters left: 4 (70 enodes) 258.327 * * [simplify]: iters left: 3 (116 enodes) 258.365 * * [simplify]: iters left: 2 (211 enodes) 258.422 * * [simplify]: iters left: 1 (426 enodes) 258.628 * * [simplify]: Extracting #0: cost 1 inf + 0 258.628 * * [simplify]: Extracting #1: cost 52 inf + 0 258.628 * * [simplify]: Extracting #2: cost 153 inf + 3 258.629 * * [simplify]: Extracting #3: cost 201 inf + 10 258.631 * * [simplify]: Extracting #4: cost 174 inf + 3841 258.641 * * [simplify]: Extracting #5: cost 61 inf + 42448 258.659 * * [simplify]: Extracting #6: cost 0 inf + 73806 258.679 * * [simplify]: Extracting #7: cost 0 inf + 71120 258.706 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 258.706 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 258.706 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 258.706 * * [simplify]: iters left: 6 (14 enodes) 258.711 * * [simplify]: iters left: 5 (61 enodes) 258.721 * * [simplify]: iters left: 4 (108 enodes) 258.740 * * [simplify]: iters left: 3 (217 enodes) 258.833 * * [simplify]: Extracting #0: cost 1 inf + 0 258.833 * * [simplify]: Extracting #1: cost 38 inf + 0 258.834 * * [simplify]: Extracting #2: cost 131 inf + 0 258.835 * * [simplify]: Extracting #3: cost 177 inf + 44 258.836 * * [simplify]: Extracting #4: cost 165 inf + 1962 258.840 * * [simplify]: Extracting #5: cost 107 inf + 18412 258.856 * * [simplify]: Extracting #6: cost 13 inf + 73932 258.875 * * [simplify]: Extracting #7: cost 0 inf + 81746 258.895 * * [simplify]: Extracting #8: cost 0 inf + 80825 258.919 * * [simplify]: Extracting #9: cost 0 inf + 80693 258.939 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 258.939 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 1)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 258.939 * * * * [progress]: [ 408 / 471 ] simplifiying candidate # 258.939 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 258.939 * * [simplify]: iters left: 6 (13 enodes) 258.948 * * [simplify]: iters left: 5 (58 enodes) 258.969 * * [simplify]: iters left: 4 (100 enodes) 259.005 * * [simplify]: iters left: 3 (204 enodes) 259.067 * * [simplify]: Extracting #0: cost 1 inf + 0 259.067 * * [simplify]: Extracting #1: cost 41 inf + 0 259.068 * * [simplify]: Extracting #2: cost 123 inf + 1 259.069 * * [simplify]: Extracting #3: cost 164 inf + 3 259.070 * * [simplify]: Extracting #4: cost 171 inf + 53 259.072 * * [simplify]: Extracting #5: cost 157 inf + 1343 259.076 * * [simplify]: Extracting #6: cost 99 inf + 15788 259.087 * * [simplify]: Extracting #7: cost 22 inf + 64744 259.096 * * [simplify]: Extracting #8: cost 0 inf + 79398 259.106 * * [simplify]: Extracting #9: cost 0 inf + 79109 259.115 * [simplify]: Simplified to (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) 259.115 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/4 (/ k 4))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))))) 259.116 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 259.116 * * [simplify]: iters left: 6 (14 enodes) 259.123 * * [simplify]: iters left: 5 (61 enodes) 259.148 * * [simplify]: iters left: 4 (107 enodes) 259.185 * * [simplify]: iters left: 3 (212 enodes) 259.263 * * [simplify]: Extracting #0: cost 1 inf + 0 259.264 * * [simplify]: Extracting #1: cost 38 inf + 0 259.264 * * [simplify]: Extracting #2: cost 129 inf + 0 259.265 * * [simplify]: Extracting #3: cost 169 inf + 44 259.267 * * [simplify]: Extracting #4: cost 167 inf + 1136 259.270 * * [simplify]: Extracting #5: cost 126 inf + 9376 259.282 * * [simplify]: Extracting #6: cost 30 inf + 59464 259.295 * * [simplify]: Extracting #7: cost 3 inf + 79747 259.304 * * [simplify]: Extracting #8: cost 0 inf + 82102 259.314 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))) 259.314 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 4)))))) 259.314 * * * * [progress]: [ 409 / 471 ] simplifiying candidate # 259.314 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) 259.314 * * [simplify]: iters left: 6 (9 enodes) 259.318 * * [simplify]: iters left: 5 (39 enodes) 259.334 * * [simplify]: iters left: 4 (69 enodes) 259.352 * * [simplify]: iters left: 3 (119 enodes) 259.380 * * [simplify]: iters left: 2 (226 enodes) 259.449 * * [simplify]: Extracting #0: cost 1 inf + 0 259.449 * * [simplify]: Extracting #1: cost 33 inf + 0 259.450 * * [simplify]: Extracting #2: cost 95 inf + 3 259.451 * * [simplify]: Extracting #3: cost 138 inf + 8 259.452 * * [simplify]: Extracting #4: cost 124 inf + 1971 259.458 * * [simplify]: Extracting #5: cost 41 inf + 24462 259.473 * * [simplify]: Extracting #6: cost 2 inf + 44267 259.484 * * [simplify]: Extracting #7: cost 0 inf + 44911 259.495 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 259.495 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) 259.495 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 259.495 * * [simplify]: iters left: 6 (14 enodes) 259.504 * * [simplify]: iters left: 5 (61 enodes) 259.525 * * [simplify]: iters left: 4 (108 enodes) 259.564 * * [simplify]: iters left: 3 (217 enodes) 259.629 * * [simplify]: Extracting #0: cost 1 inf + 0 259.630 * * [simplify]: Extracting #1: cost 38 inf + 0 259.630 * * [simplify]: Extracting #2: cost 131 inf + 0 259.631 * * [simplify]: Extracting #3: cost 177 inf + 44 259.631 * * [simplify]: Extracting #4: cost 165 inf + 1962 259.634 * * [simplify]: Extracting #5: cost 107 inf + 18412 259.641 * * [simplify]: Extracting #6: cost 13 inf + 73932 259.651 * * [simplify]: Extracting #7: cost 0 inf + 81746 259.661 * * [simplify]: Extracting #8: cost 0 inf + 80825 259.672 * * [simplify]: Extracting #9: cost 0 inf + 80693 259.692 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 259.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))))) 259.692 * * * * [progress]: [ 410 / 471 ] simplifiying candidate # 259.696 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) 259.696 * * [simplify]: iters left: 6 (10 enodes) 259.703 * * [simplify]: iters left: 5 (44 enodes) 259.719 * * [simplify]: iters left: 4 (74 enodes) 259.745 * * [simplify]: iters left: 3 (124 enodes) 259.771 * * [simplify]: iters left: 2 (228 enodes) 259.825 * * [simplify]: iters left: 1 (473 enodes) 260.060 * * [simplify]: Extracting #0: cost 1 inf + 0 260.060 * * [simplify]: Extracting #1: cost 43 inf + 0 260.061 * * [simplify]: Extracting #2: cost 133 inf + 0 260.063 * * [simplify]: Extracting #3: cost 208 inf + 46 260.065 * * [simplify]: Extracting #4: cost 197 inf + 2534 260.069 * * [simplify]: Extracting #5: cost 118 inf + 25382 260.081 * * [simplify]: Extracting #6: cost 18 inf + 90199 260.100 * * [simplify]: Extracting #7: cost 0 inf + 102981 260.120 * [simplify]: Simplified to (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) 260.120 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))))) 260.120 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))) 260.120 * * [simplify]: iters left: 6 (13 enodes) 260.124 * * [simplify]: iters left: 5 (58 enodes) 260.134 * * [simplify]: iters left: 4 (101 enodes) 260.163 * * [simplify]: iters left: 3 (212 enodes) 260.233 * * [simplify]: Extracting #0: cost 1 inf + 0 260.233 * * [simplify]: Extracting #1: cost 41 inf + 0 260.233 * * [simplify]: Extracting #2: cost 124 inf + 1 260.234 * * [simplify]: Extracting #3: cost 171 inf + 3 260.234 * * [simplify]: Extracting #4: cost 174 inf + 54 260.236 * * [simplify]: Extracting #5: cost 141 inf + 5427 260.239 * * [simplify]: Extracting #6: cost 66 inf + 35815 260.247 * * [simplify]: Extracting #7: cost 8 inf + 73371 260.259 * * [simplify]: Extracting #8: cost 0 inf + 78482 260.268 * * [simplify]: Extracting #9: cost 0 inf + 78308 260.280 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 2))) 260.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 2))))) 260.280 * * * * [progress]: [ 411 / 471 ] simplifiying candidate # 260.281 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) 260.281 * * [simplify]: iters left: 6 (15 enodes) 260.286 * * [simplify]: iters left: 5 (64 enodes) 260.298 * * [simplify]: iters left: 4 (115 enodes) 260.341 * * [simplify]: iters left: 3 (238 enodes) 260.427 * * [simplify]: Extracting #0: cost 1 inf + 0 260.427 * * [simplify]: Extracting #1: cost 38 inf + 0 260.428 * * [simplify]: Extracting #2: cost 131 inf + 0 260.429 * * [simplify]: Extracting #3: cost 162 inf + 48 260.431 * * [simplify]: Extracting #4: cost 150 inf + 2255 260.436 * * [simplify]: Extracting #5: cost 91 inf + 20612 260.449 * * [simplify]: Extracting #6: cost 16 inf + 60860 260.464 * * [simplify]: Extracting #7: cost 0 inf + 70921 260.481 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) 260.481 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 PI)) (/ (pow n (/ (- 1 k) 4)) (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ k 2))))) 260.481 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ k 2))) 260.481 * * [simplify]: iters left: 6 (13 enodes) 260.489 * * [simplify]: iters left: 5 (56 enodes) 260.512 * * [simplify]: iters left: 4 (94 enodes) 260.541 * * [simplify]: iters left: 3 (187 enodes) 260.602 * * [simplify]: Extracting #0: cost 1 inf + 0 260.602 * * [simplify]: Extracting #1: cost 39 inf + 0 260.603 * * [simplify]: Extracting #2: cost 117 inf + 0 260.604 * * [simplify]: Extracting #3: cost 164 inf + 2 260.605 * * [simplify]: Extracting #4: cost 160 inf + 966 260.609 * * [simplify]: Extracting #5: cost 95 inf + 15061 260.625 * * [simplify]: Extracting #6: cost 20 inf + 60349 260.634 * * [simplify]: Extracting #7: cost 0 inf + 75260 260.642 * * [simplify]: Extracting #8: cost 0 inf + 74559 260.650 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ k 2))) 260.650 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) (/ (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ k 2))))) 260.650 * * * * [progress]: [ 412 / 471 ] simplifiying candidate # 260.651 * * * * [progress]: [ 413 / 471 ] simplifiying candidate # 260.651 * * * * [progress]: [ 414 / 471 ] simplifiying candidate # 260.651 * * * * [progress]: [ 415 / 471 ] simplifiying candidate # 260.651 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 260.651 * * [simplify]: iters left: 6 (11 enodes) 260.654 * * [simplify]: iters left: 5 (45 enodes) 260.662 * * [simplify]: iters left: 4 (68 enodes) 260.679 * * [simplify]: iters left: 3 (108 enodes) 260.700 * * [simplify]: iters left: 2 (205 enodes) 260.781 * * [simplify]: iters left: 1 (382 enodes) 260.921 * * [simplify]: Extracting #0: cost 1 inf + 0 260.922 * * [simplify]: Extracting #1: cost 3 inf + 0 260.922 * * [simplify]: Extracting #2: cost 8 inf + 0 260.922 * * [simplify]: Extracting #3: cost 36 inf + 0 260.923 * * [simplify]: Extracting #4: cost 119 inf + 84 260.924 * * [simplify]: Extracting #5: cost 154 inf + 925 260.930 * * [simplify]: Extracting #6: cost 111 inf + 15531 260.949 * * [simplify]: Extracting #7: cost 15 inf + 52609 260.975 * * [simplify]: Extracting #8: cost 0 inf + 57680 261.001 * * [simplify]: Extracting #9: cost 0 inf + 57601 261.020 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))) 261.020 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 261.020 * * * * [progress]: [ 416 / 471 ] simplifiying candidate # 261.021 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))) 261.021 * * [simplify]: iters left: 6 (11 enodes) 261.024 * * [simplify]: iters left: 5 (45 enodes) 261.031 * * [simplify]: iters left: 4 (68 enodes) 261.043 * * [simplify]: iters left: 3 (108 enodes) 261.086 * * [simplify]: iters left: 2 (205 enodes) 261.164 * * [simplify]: iters left: 1 (382 enodes) 261.354 * * [simplify]: Extracting #0: cost 1 inf + 0 261.354 * * [simplify]: Extracting #1: cost 3 inf + 0 261.354 * * [simplify]: Extracting #2: cost 8 inf + 0 261.355 * * [simplify]: Extracting #3: cost 36 inf + 0 261.355 * * [simplify]: Extracting #4: cost 119 inf + 84 261.356 * * [simplify]: Extracting #5: cost 154 inf + 925 261.358 * * [simplify]: Extracting #6: cost 111 inf + 15531 261.368 * * [simplify]: Extracting #7: cost 15 inf + 52569 261.382 * * [simplify]: Extracting #8: cost 0 inf + 57600 261.409 * * [simplify]: Extracting #9: cost 0 inf + 57521 261.435 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k))))) 261.435 * [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) (pow (* 2 PI) (* 1/2 (- 1 k))))))) 261.435 * * * * [progress]: [ 417 / 471 ] simplifiying candidate # 261.436 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 261.436 * * [simplify]: iters left: 6 (10 enodes) 261.442 * * [simplify]: iters left: 5 (41 enodes) 261.450 * * [simplify]: iters left: 4 (64 enodes) 261.463 * * [simplify]: iters left: 3 (104 enodes) 261.492 * * [simplify]: iters left: 2 (198 enodes) 261.558 * * [simplify]: iters left: 1 (379 enodes) 261.677 * * [simplify]: Extracting #0: cost 1 inf + 0 261.677 * * [simplify]: Extracting #1: cost 6 inf + 0 261.677 * * [simplify]: Extracting #2: cost 38 inf + 0 261.678 * * [simplify]: Extracting #3: cost 124 inf + 2 261.679 * * [simplify]: Extracting #4: cost 179 inf + 541 261.682 * * [simplify]: Extracting #5: cost 142 inf + 6676 261.693 * * [simplify]: Extracting #6: cost 47 inf + 39646 261.711 * * [simplify]: Extracting #7: cost 3 inf + 67335 261.730 * * [simplify]: Extracting #8: cost 0 inf + 67738 261.749 * * [simplify]: Extracting #9: cost 0 inf + 67577 261.768 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 261.768 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 261.768 * * * * [progress]: [ 418 / 471 ] simplifiying candidate # 261.768 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 261.769 * * [simplify]: iters left: 6 (12 enodes) 261.776 * * [simplify]: iters left: 5 (48 enodes) 261.796 * * [simplify]: iters left: 4 (73 enodes) 261.820 * * [simplify]: iters left: 3 (104 enodes) 261.852 * * [simplify]: iters left: 2 (172 enodes) 261.886 * * [simplify]: iters left: 1 (329 enodes) 262.026 * * [simplify]: Extracting #0: cost 1 inf + 0 262.026 * * [simplify]: Extracting #1: cost 4 inf + 0 262.026 * * [simplify]: Extracting #2: cost 8 inf + 0 262.026 * * [simplify]: Extracting #3: cost 37 inf + 0 262.027 * * [simplify]: Extracting #4: cost 109 inf + 43 262.028 * * [simplify]: Extracting #5: cost 138 inf + 834 262.031 * * [simplify]: Extracting #6: cost 104 inf + 6245 262.036 * * [simplify]: Extracting #7: cost 61 inf + 13442 262.047 * * [simplify]: Extracting #8: cost 27 inf + 36935 262.064 * * [simplify]: Extracting #9: cost 1 inf + 59567 262.078 * * [simplify]: Extracting #10: cost 0 inf + 59337 262.087 * * [simplify]: Extracting #11: cost 0 inf + 58313 262.097 * * [simplify]: Extracting #12: cost 0 inf + 57621 262.113 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 262.113 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 262.113 * * * * [progress]: [ 419 / 471 ] simplifiying candidate # 262.113 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 262.114 * * [simplify]: iters left: 6 (12 enodes) 262.121 * * [simplify]: iters left: 5 (48 enodes) 262.137 * * [simplify]: iters left: 4 (74 enodes) 262.161 * * [simplify]: iters left: 3 (109 enodes) 262.200 * * [simplify]: iters left: 2 (182 enodes) 262.245 * * [simplify]: iters left: 1 (345 enodes) 262.419 * * [simplify]: Extracting #0: cost 1 inf + 0 262.419 * * [simplify]: Extracting #1: cost 4 inf + 0 262.419 * * [simplify]: Extracting #2: cost 9 inf + 0 262.420 * * [simplify]: Extracting #3: cost 35 inf + 0 262.420 * * [simplify]: Extracting #4: cost 109 inf + 43 262.421 * * [simplify]: Extracting #5: cost 131 inf + 707 262.425 * * [simplify]: Extracting #6: cost 84 inf + 7702 262.435 * * [simplify]: Extracting #7: cost 22 inf + 36720 262.451 * * [simplify]: Extracting #8: cost 0 inf + 55184 262.468 * * [simplify]: Extracting #9: cost 0 inf + 54403 262.476 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 262.476 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 262.476 * * * * [progress]: [ 420 / 471 ] simplifiying candidate # 262.476 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 262.476 * * [simplify]: iters left: 6 (11 enodes) 262.480 * * [simplify]: iters left: 5 (45 enodes) 262.488 * * [simplify]: iters left: 4 (68 enodes) 262.499 * * [simplify]: iters left: 3 (108 enodes) 262.520 * * [simplify]: iters left: 2 (205 enodes) 262.593 * * [simplify]: iters left: 1 (386 enodes) 262.733 * * [simplify]: Extracting #0: cost 1 inf + 0 262.733 * * [simplify]: Extracting #1: cost 6 inf + 0 262.733 * * [simplify]: Extracting #2: cost 36 inf + 0 262.734 * * [simplify]: Extracting #3: cost 122 inf + 1 262.734 * * [simplify]: Extracting #4: cost 156 inf + 1084 262.737 * * [simplify]: Extracting #5: cost 92 inf + 19572 262.744 * * [simplify]: Extracting #6: cost 25 inf + 52933 262.757 * * [simplify]: Extracting #7: cost 0 inf + 71185 262.768 * * [simplify]: Extracting #8: cost 0 inf + 70923 262.784 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 262.784 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 262.784 * * * * [progress]: [ 421 / 471 ] simplifiying candidate # 262.785 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 262.785 * * [simplify]: iters left: 6 (12 enodes) 262.792 * * [simplify]: iters left: 5 (51 enodes) 262.810 * * [simplify]: iters left: 4 (81 enodes) 262.837 * * [simplify]: iters left: 3 (135 enodes) 262.883 * * [simplify]: iters left: 2 (260 enodes) 262.966 * * [simplify]: iters left: 1 (496 enodes) 263.237 * * [simplify]: Extracting #0: cost 1 inf + 0 263.237 * * [simplify]: Extracting #1: cost 6 inf + 0 263.237 * * [simplify]: Extracting #2: cost 38 inf + 0 263.237 * * [simplify]: Extracting #3: cost 139 inf + 1 263.238 * * [simplify]: Extracting #4: cost 203 inf + 959 263.241 * * [simplify]: Extracting #5: cost 139 inf + 12811 263.249 * * [simplify]: Extracting #6: cost 47 inf + 42656 263.260 * * [simplify]: Extracting #7: cost 9 inf + 68652 263.275 * * [simplify]: Extracting #8: cost 0 inf + 74827 263.298 * * [simplify]: Extracting #9: cost 0 inf + 74303 263.324 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 263.324 * [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) 2)))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 263.325 * * * * [progress]: [ 422 / 471 ] simplifiying candidate # 263.325 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 263.325 * * [simplify]: iters left: 6 (10 enodes) 263.331 * * [simplify]: iters left: 5 (41 enodes) 263.346 * * [simplify]: iters left: 4 (64 enodes) 263.368 * * [simplify]: iters left: 3 (104 enodes) 263.406 * * [simplify]: iters left: 2 (198 enodes) 263.457 * * [simplify]: iters left: 1 (379 enodes) 263.629 * * [simplify]: Extracting #0: cost 1 inf + 0 263.629 * * [simplify]: Extracting #1: cost 6 inf + 0 263.629 * * [simplify]: Extracting #2: cost 38 inf + 0 263.630 * * [simplify]: Extracting #3: cost 124 inf + 2 263.630 * * [simplify]: Extracting #4: cost 179 inf + 621 263.632 * * [simplify]: Extracting #5: cost 142 inf + 6756 263.637 * * [simplify]: Extracting #6: cost 47 inf + 39726 263.653 * * [simplify]: Extracting #7: cost 3 inf + 67415 263.675 * * [simplify]: Extracting #8: cost 0 inf + 67818 263.693 * * [simplify]: Extracting #9: cost 0 inf + 67657 263.712 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 263.712 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))))) 263.712 * * * * [progress]: [ 423 / 471 ] simplifiying candidate # 263.713 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 263.713 * * [simplify]: iters left: 6 (12 enodes) 263.720 * * [simplify]: iters left: 5 (48 enodes) 263.737 * * [simplify]: iters left: 4 (73 enodes) 263.761 * * [simplify]: iters left: 3 (104 enodes) 263.793 * * [simplify]: iters left: 2 (172 enodes) 263.840 * * [simplify]: iters left: 1 (329 enodes) 263.967 * * [simplify]: Extracting #0: cost 1 inf + 0 263.967 * * [simplify]: Extracting #1: cost 4 inf + 0 263.967 * * [simplify]: Extracting #2: cost 8 inf + 0 263.967 * * [simplify]: Extracting #3: cost 37 inf + 0 263.967 * * [simplify]: Extracting #4: cost 109 inf + 83 263.968 * * [simplify]: Extracting #5: cost 138 inf + 914 263.969 * * [simplify]: Extracting #6: cost 104 inf + 6325 263.972 * * [simplify]: Extracting #7: cost 61 inf + 13522 263.977 * * [simplify]: Extracting #8: cost 27 inf + 37015 263.993 * * [simplify]: Extracting #9: cost 1 inf + 59647 264.002 * * [simplify]: Extracting #10: cost 0 inf + 59417 264.011 * * [simplify]: Extracting #11: cost 0 inf + 58393 264.021 * * [simplify]: Extracting #12: cost 0 inf + 57701 264.031 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 264.031 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 264.031 * * * * [progress]: [ 424 / 471 ] simplifiying candidate # 264.031 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 264.031 * * [simplify]: iters left: 6 (12 enodes) 264.035 * * [simplify]: iters left: 5 (48 enodes) 264.044 * * [simplify]: iters left: 4 (74 enodes) 264.067 * * [simplify]: iters left: 3 (109 enodes) 264.108 * * [simplify]: iters left: 2 (182 enodes) 264.177 * * [simplify]: iters left: 1 (345 enodes) 264.333 * * [simplify]: Extracting #0: cost 1 inf + 0 264.333 * * [simplify]: Extracting #1: cost 4 inf + 0 264.333 * * [simplify]: Extracting #2: cost 9 inf + 0 264.333 * * [simplify]: Extracting #3: cost 35 inf + 0 264.334 * * [simplify]: Extracting #4: cost 109 inf + 83 264.335 * * [simplify]: Extracting #5: cost 131 inf + 787 264.338 * * [simplify]: Extracting #6: cost 84 inf + 7782 264.348 * * [simplify]: Extracting #7: cost 22 inf + 36800 264.364 * * [simplify]: Extracting #8: cost 0 inf + 55264 264.380 * * [simplify]: Extracting #9: cost 0 inf + 54483 264.395 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 264.396 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 264.396 * * * * [progress]: [ 425 / 471 ] simplifiying candidate # 264.396 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 264.396 * * [simplify]: iters left: 6 (11 enodes) 264.403 * * [simplify]: iters left: 5 (45 enodes) 264.418 * * [simplify]: iters left: 4 (68 enodes) 264.440 * * [simplify]: iters left: 3 (108 enodes) 264.485 * * [simplify]: iters left: 2 (205 enodes) 264.563 * * [simplify]: iters left: 1 (386 enodes) 264.696 * * [simplify]: Extracting #0: cost 1 inf + 0 264.696 * * [simplify]: Extracting #1: cost 6 inf + 0 264.696 * * [simplify]: Extracting #2: cost 36 inf + 0 264.697 * * [simplify]: Extracting #3: cost 122 inf + 1 264.698 * * [simplify]: Extracting #4: cost 156 inf + 1164 264.703 * * [simplify]: Extracting #5: cost 92 inf + 19652 264.719 * * [simplify]: Extracting #6: cost 25 inf + 53013 264.739 * * [simplify]: Extracting #7: cost 0 inf + 71265 264.750 * * [simplify]: Extracting #8: cost 0 inf + 71003 264.761 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 264.761 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 264.761 * * * * [progress]: [ 426 / 471 ] simplifiying candidate # 264.761 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 264.761 * * [simplify]: iters left: 6 (12 enodes) 264.765 * * [simplify]: iters left: 5 (51 enodes) 264.778 * * [simplify]: iters left: 4 (81 enodes) 264.809 * * [simplify]: iters left: 3 (135 enodes) 264.861 * * [simplify]: iters left: 2 (260 enodes) 264.940 * * [simplify]: iters left: 1 (496 enodes) 265.177 * * [simplify]: Extracting #0: cost 1 inf + 0 265.177 * * [simplify]: Extracting #1: cost 6 inf + 0 265.177 * * [simplify]: Extracting #2: cost 38 inf + 0 265.178 * * [simplify]: Extracting #3: cost 139 inf + 1 265.180 * * [simplify]: Extracting #4: cost 203 inf + 1039 265.186 * * [simplify]: Extracting #5: cost 139 inf + 12891 265.199 * * [simplify]: Extracting #6: cost 47 inf + 42736 265.213 * * [simplify]: Extracting #7: cost 9 inf + 68732 265.225 * * [simplify]: Extracting #8: cost 0 inf + 74907 265.240 * * [simplify]: Extracting #9: cost 0 inf + 74383 265.263 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 265.263 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 265.264 * * * * [progress]: [ 427 / 471 ] simplifiying candidate # 265.264 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 265.264 * * [simplify]: iters left: 6 (10 enodes) 265.270 * * [simplify]: iters left: 5 (41 enodes) 265.285 * * [simplify]: iters left: 4 (64 enodes) 265.306 * * [simplify]: iters left: 3 (104 enodes) 265.346 * * [simplify]: iters left: 2 (198 enodes) 265.399 * * [simplify]: iters left: 1 (379 enodes) 265.537 * * [simplify]: Extracting #0: cost 1 inf + 0 265.537 * * [simplify]: Extracting #1: cost 6 inf + 0 265.537 * * [simplify]: Extracting #2: cost 38 inf + 0 265.537 * * [simplify]: Extracting #3: cost 124 inf + 2 265.538 * * [simplify]: Extracting #4: cost 179 inf + 461 265.540 * * [simplify]: Extracting #5: cost 142 inf + 6556 265.545 * * [simplify]: Extracting #6: cost 47 inf + 39006 265.555 * * [simplify]: Extracting #7: cost 3 inf + 66455 265.567 * * [simplify]: Extracting #8: cost 0 inf + 66818 265.581 * * [simplify]: Extracting #9: cost 0 inf + 66657 265.590 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 265.590 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 265.590 * * * * [progress]: [ 428 / 471 ] simplifiying candidate # 265.590 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.590 * * [simplify]: iters left: 6 (12 enodes) 265.594 * * [simplify]: iters left: 5 (48 enodes) 265.603 * * [simplify]: iters left: 4 (73 enodes) 265.628 * * [simplify]: iters left: 3 (104 enodes) 265.664 * * [simplify]: iters left: 2 (172 enodes) 265.730 * * [simplify]: iters left: 1 (329 enodes) 265.871 * * [simplify]: Extracting #0: cost 1 inf + 0 265.871 * * [simplify]: Extracting #1: cost 4 inf + 0 265.871 * * [simplify]: Extracting #2: cost 8 inf + 0 265.871 * * [simplify]: Extracting #3: cost 37 inf + 0 265.872 * * [simplify]: Extracting #4: cost 109 inf + 43 265.873 * * [simplify]: Extracting #5: cost 138 inf + 754 265.876 * * [simplify]: Extracting #6: cost 104 inf + 6085 265.881 * * [simplify]: Extracting #7: cost 61 inf + 13282 265.892 * * [simplify]: Extracting #8: cost 27 inf + 36775 265.909 * * [simplify]: Extracting #9: cost 1 inf + 59407 265.927 * * [simplify]: Extracting #10: cost 0 inf + 59177 265.946 * * [simplify]: Extracting #11: cost 0 inf + 58153 265.964 * * [simplify]: Extracting #12: cost 0 inf + 57461 265.980 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.980 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 265.980 * * * * [progress]: [ 429 / 471 ] simplifiying candidate # 265.980 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 265.980 * * [simplify]: iters left: 6 (12 enodes) 265.984 * * [simplify]: iters left: 5 (48 enodes) 265.995 * * [simplify]: iters left: 4 (74 enodes) 266.008 * * [simplify]: iters left: 3 (109 enodes) 266.045 * * [simplify]: iters left: 2 (182 enodes) 266.086 * * [simplify]: iters left: 1 (345 enodes) 266.264 * * [simplify]: Extracting #0: cost 1 inf + 0 266.264 * * [simplify]: Extracting #1: cost 4 inf + 0 266.264 * * [simplify]: Extracting #2: cost 9 inf + 0 266.264 * * [simplify]: Extracting #3: cost 35 inf + 0 266.265 * * [simplify]: Extracting #4: cost 109 inf + 43 266.266 * * [simplify]: Extracting #5: cost 131 inf + 627 266.269 * * [simplify]: Extracting #6: cost 84 inf + 7622 266.279 * * [simplify]: Extracting #7: cost 22 inf + 36560 266.295 * * [simplify]: Extracting #8: cost 0 inf + 55024 266.310 * * [simplify]: Extracting #9: cost 0 inf + 54243 266.326 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 266.326 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 266.326 * * * * [progress]: [ 430 / 471 ] simplifiying candidate # 266.326 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 266.326 * * [simplify]: iters left: 6 (11 enodes) 266.337 * * [simplify]: iters left: 5 (45 enodes) 266.353 * * [simplify]: iters left: 4 (68 enodes) 266.376 * * [simplify]: iters left: 3 (108 enodes) 266.416 * * [simplify]: iters left: 2 (205 enodes) 266.498 * * [simplify]: iters left: 1 (386 enodes) 266.626 * * [simplify]: Extracting #0: cost 1 inf + 0 266.626 * * [simplify]: Extracting #1: cost 6 inf + 0 266.626 * * [simplify]: Extracting #2: cost 36 inf + 0 266.627 * * [simplify]: Extracting #3: cost 122 inf + 1 266.628 * * [simplify]: Extracting #4: cost 156 inf + 1004 266.633 * * [simplify]: Extracting #5: cost 92 inf + 19132 266.648 * * [simplify]: Extracting #6: cost 25 inf + 52173 266.658 * * [simplify]: Extracting #7: cost 0 inf + 70265 266.671 * * [simplify]: Extracting #8: cost 0 inf + 70003 266.686 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 266.687 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 266.687 * * * * [progress]: [ 431 / 471 ] simplifiying candidate # 266.687 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 266.687 * * [simplify]: iters left: 6 (12 enodes) 266.694 * * [simplify]: iters left: 5 (51 enodes) 266.712 * * [simplify]: iters left: 4 (81 enodes) 266.739 * * [simplify]: iters left: 3 (135 enodes) 266.768 * * [simplify]: iters left: 2 (260 enodes) 266.838 * * [simplify]: iters left: 1 (496 enodes) 267.086 * * [simplify]: Extracting #0: cost 1 inf + 0 267.086 * * [simplify]: Extracting #1: cost 6 inf + 0 267.086 * * [simplify]: Extracting #2: cost 38 inf + 0 267.087 * * [simplify]: Extracting #3: cost 139 inf + 1 267.089 * * [simplify]: Extracting #4: cost 203 inf + 919 267.095 * * [simplify]: Extracting #5: cost 139 inf + 12611 267.111 * * [simplify]: Extracting #6: cost 47 inf + 42056 267.132 * * [simplify]: Extracting #7: cost 9 inf + 67772 267.156 * * [simplify]: Extracting #8: cost 0 inf + 73907 267.179 * * [simplify]: Extracting #9: cost 0 inf + 73383 267.205 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 267.206 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 267.206 * * * * [progress]: [ 432 / 471 ] simplifiying candidate # 267.206 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 267.206 * * [simplify]: iters left: 6 (9 enodes) 267.212 * * [simplify]: iters left: 5 (38 enodes) 267.226 * * [simplify]: iters left: 4 (61 enodes) 267.247 * * [simplify]: iters left: 3 (101 enodes) 267.285 * * [simplify]: iters left: 2 (195 enodes) 267.343 * * [simplify]: iters left: 1 (364 enodes) 267.460 * * [simplify]: Extracting #0: cost 1 inf + 0 267.460 * * [simplify]: Extracting #1: cost 6 inf + 0 267.460 * * [simplify]: Extracting #2: cost 38 inf + 0 267.460 * * [simplify]: Extracting #3: cost 116 inf + 44 267.461 * * [simplify]: Extracting #4: cost 170 inf + 135 267.462 * * [simplify]: Extracting #5: cost 143 inf + 2414 267.465 * * [simplify]: Extracting #6: cost 71 inf + 17929 267.472 * * [simplify]: Extracting #7: cost 12 inf + 52022 267.481 * * [simplify]: Extracting #8: cost 0 inf + 62626 267.490 * * [simplify]: Extracting #9: cost 0 inf + 61596 267.501 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 267.501 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 267.502 * * * * [progress]: [ 433 / 471 ] simplifiying candidate # 267.502 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.502 * * [simplify]: iters left: 6 (11 enodes) 267.505 * * [simplify]: iters left: 5 (45 enodes) 267.513 * * [simplify]: iters left: 4 (66 enodes) 267.533 * * [simplify]: iters left: 3 (102 enodes) 267.571 * * [simplify]: iters left: 2 (193 enodes) 267.634 * * [simplify]: iters left: 1 (358 enodes) 267.770 * * [simplify]: Extracting #0: cost 1 inf + 0 267.770 * * [simplify]: Extracting #1: cost 4 inf + 0 267.770 * * [simplify]: Extracting #2: cost 8 inf + 0 267.770 * * [simplify]: Extracting #3: cost 32 inf + 1 267.771 * * [simplify]: Extracting #4: cost 102 inf + 43 267.771 * * [simplify]: Extracting #5: cost 151 inf + 133 267.772 * * [simplify]: Extracting #6: cost 129 inf + 2046 267.774 * * [simplify]: Extracting #7: cost 74 inf + 10318 267.779 * * [simplify]: Extracting #8: cost 40 inf + 25574 267.787 * * [simplify]: Extracting #9: cost 2 inf + 57128 267.796 * * [simplify]: Extracting #10: cost 0 inf + 58497 267.805 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.805 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 267.805 * * * * [progress]: [ 434 / 471 ] simplifiying candidate # 267.806 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 267.806 * * [simplify]: iters left: 6 (11 enodes) 267.812 * * [simplify]: iters left: 5 (45 enodes) 267.820 * * [simplify]: iters left: 4 (67 enodes) 267.831 * * [simplify]: iters left: 3 (103 enodes) 267.856 * * [simplify]: iters left: 2 (191 enodes) 267.900 * * [simplify]: iters left: 1 (345 enodes) 268.028 * * [simplify]: Extracting #0: cost 1 inf + 0 268.028 * * [simplify]: Extracting #1: cost 4 inf + 0 268.028 * * [simplify]: Extracting #2: cost 9 inf + 0 268.028 * * [simplify]: Extracting #3: cost 37 inf + 1 268.029 * * [simplify]: Extracting #4: cost 113 inf + 43 268.030 * * [simplify]: Extracting #5: cost 147 inf + 176 268.033 * * [simplify]: Extracting #6: cost 108 inf + 4935 268.040 * * [simplify]: Extracting #7: cost 39 inf + 27167 268.057 * * [simplify]: Extracting #8: cost 3 inf + 55675 268.075 * * [simplify]: Extracting #9: cost 0 inf + 56258 268.089 * * [simplify]: Extracting #10: cost 0 inf + 55390 268.099 * * [simplify]: Extracting #11: cost 0 inf + 55007 268.109 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 268.109 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 268.109 * * * * [progress]: [ 435 / 471 ] simplifiying candidate # 268.109 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 268.110 * * [simplify]: iters left: 6 (10 enodes) 268.116 * * [simplify]: iters left: 5 (42 enodes) 268.124 * * [simplify]: iters left: 4 (65 enodes) 268.135 * * [simplify]: iters left: 3 (102 enodes) 268.171 * * [simplify]: iters left: 2 (194 enodes) 268.222 * * [simplify]: iters left: 1 (369 enodes) 268.348 * * [simplify]: Extracting #0: cost 1 inf + 0 268.348 * * [simplify]: Extracting #1: cost 6 inf + 0 268.348 * * [simplify]: Extracting #2: cost 41 inf + 0 268.348 * * [simplify]: Extracting #3: cost 120 inf + 84 268.349 * * [simplify]: Extracting #4: cost 150 inf + 632 268.351 * * [simplify]: Extracting #5: cost 101 inf + 9941 268.357 * * [simplify]: Extracting #6: cost 31 inf + 43542 268.367 * * [simplify]: Extracting #7: cost 1 inf + 71261 268.377 * * [simplify]: Extracting #8: cost 0 inf + 68919 268.398 * * [simplify]: Extracting #9: cost 0 inf + 66507 268.423 * * [simplify]: Extracting #10: cost 0 inf + 65470 268.445 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 268.446 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 268.446 * * * * [progress]: [ 436 / 471 ] simplifiying candidate # 268.446 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 268.446 * * [simplify]: iters left: 6 (11 enodes) 268.453 * * [simplify]: iters left: 5 (48 enodes) 268.470 * * [simplify]: iters left: 4 (75 enodes) 268.495 * * [simplify]: iters left: 3 (122 enodes) 268.541 * * [simplify]: iters left: 2 (231 enodes) 268.603 * * [simplify]: iters left: 1 (460 enodes) 268.814 * * [simplify]: Extracting #0: cost 1 inf + 0 268.814 * * [simplify]: Extracting #1: cost 6 inf + 0 268.815 * * [simplify]: Extracting #2: cost 40 inf + 0 268.815 * * [simplify]: Extracting #3: cost 135 inf + 43 268.817 * * [simplify]: Extracting #4: cost 171 inf + 1955 268.824 * * [simplify]: Extracting #5: cost 102 inf + 19321 268.840 * * [simplify]: Extracting #6: cost 17 inf + 58651 268.862 * * [simplify]: Extracting #7: cost 1 inf + 70989 268.887 * * [simplify]: Extracting #8: cost 0 inf + 69977 268.901 * * [simplify]: Extracting #9: cost 0 inf + 69937 268.911 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 268.911 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 268.911 * * * * [progress]: [ 437 / 471 ] simplifiying candidate # 268.911 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 268.912 * * [simplify]: iters left: 6 (10 enodes) 268.915 * * [simplify]: iters left: 5 (41 enodes) 268.922 * * [simplify]: iters left: 4 (64 enodes) 268.943 * * [simplify]: iters left: 3 (104 enodes) 268.978 * * [simplify]: iters left: 2 (198 enodes) 269.031 * * [simplify]: iters left: 1 (379 enodes) 269.175 * * [simplify]: Extracting #0: cost 1 inf + 0 269.175 * * [simplify]: Extracting #1: cost 6 inf + 0 269.175 * * [simplify]: Extracting #2: cost 38 inf + 0 269.176 * * [simplify]: Extracting #3: cost 124 inf + 2 269.177 * * [simplify]: Extracting #4: cost 179 inf + 461 269.180 * * [simplify]: Extracting #5: cost 142 inf + 6556 269.195 * * [simplify]: Extracting #6: cost 47 inf + 39006 269.214 * * [simplify]: Extracting #7: cost 3 inf + 66455 269.232 * * [simplify]: Extracting #8: cost 0 inf + 66818 269.248 * * [simplify]: Extracting #9: cost 0 inf + 66657 269.257 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 269.257 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 269.257 * * * * [progress]: [ 438 / 471 ] simplifiying candidate # 269.257 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 269.257 * * [simplify]: iters left: 6 (12 enodes) 269.261 * * [simplify]: iters left: 5 (48 enodes) 269.269 * * [simplify]: iters left: 4 (73 enodes) 269.289 * * [simplify]: iters left: 3 (104 enodes) 269.325 * * [simplify]: iters left: 2 (172 enodes) 269.366 * * [simplify]: iters left: 1 (329 enodes) 269.477 * * [simplify]: Extracting #0: cost 1 inf + 0 269.477 * * [simplify]: Extracting #1: cost 4 inf + 0 269.477 * * [simplify]: Extracting #2: cost 8 inf + 0 269.477 * * [simplify]: Extracting #3: cost 37 inf + 0 269.478 * * [simplify]: Extracting #4: cost 109 inf + 43 269.479 * * [simplify]: Extracting #5: cost 138 inf + 754 269.482 * * [simplify]: Extracting #6: cost 104 inf + 6085 269.492 * * [simplify]: Extracting #7: cost 61 inf + 13282 269.502 * * [simplify]: Extracting #8: cost 27 inf + 36775 269.519 * * [simplify]: Extracting #9: cost 1 inf + 59407 269.537 * * [simplify]: Extracting #10: cost 0 inf + 59177 269.555 * * [simplify]: Extracting #11: cost 0 inf + 58153 269.574 * * [simplify]: Extracting #12: cost 0 inf + 57461 269.591 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 269.591 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 269.591 * * * * [progress]: [ 439 / 471 ] simplifiying candidate # 269.591 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 269.591 * * [simplify]: iters left: 6 (12 enodes) 269.595 * * [simplify]: iters left: 5 (48 enodes) 269.604 * * [simplify]: iters left: 4 (74 enodes) 269.622 * * [simplify]: iters left: 3 (109 enodes) 269.663 * * [simplify]: iters left: 2 (182 enodes) 269.727 * * [simplify]: iters left: 1 (345 enodes) 269.880 * * [simplify]: Extracting #0: cost 1 inf + 0 269.880 * * [simplify]: Extracting #1: cost 4 inf + 0 269.880 * * [simplify]: Extracting #2: cost 9 inf + 0 269.881 * * [simplify]: Extracting #3: cost 35 inf + 0 269.881 * * [simplify]: Extracting #4: cost 109 inf + 43 269.882 * * [simplify]: Extracting #5: cost 131 inf + 627 269.886 * * [simplify]: Extracting #6: cost 84 inf + 7622 269.896 * * [simplify]: Extracting #7: cost 22 inf + 36560 269.912 * * [simplify]: Extracting #8: cost 0 inf + 55024 269.927 * * [simplify]: Extracting #9: cost 0 inf + 54243 269.940 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 269.940 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 269.940 * * * * [progress]: [ 440 / 471 ] simplifiying candidate # 269.940 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 269.940 * * [simplify]: iters left: 6 (11 enodes) 269.944 * * [simplify]: iters left: 5 (45 enodes) 269.951 * * [simplify]: iters left: 4 (68 enodes) 269.966 * * [simplify]: iters left: 3 (108 enodes) 270.007 * * [simplify]: iters left: 2 (205 enodes) 270.062 * * [simplify]: iters left: 1 (386 enodes) 270.223 * * [simplify]: Extracting #0: cost 1 inf + 0 270.223 * * [simplify]: Extracting #1: cost 6 inf + 0 270.223 * * [simplify]: Extracting #2: cost 36 inf + 0 270.224 * * [simplify]: Extracting #3: cost 122 inf + 1 270.225 * * [simplify]: Extracting #4: cost 156 inf + 1004 270.230 * * [simplify]: Extracting #5: cost 92 inf + 19132 270.245 * * [simplify]: Extracting #6: cost 25 inf + 52173 270.265 * * [simplify]: Extracting #7: cost 0 inf + 70265 270.285 * * [simplify]: Extracting #8: cost 0 inf + 70003 270.299 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))) 270.300 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 270.300 * * * * [progress]: [ 441 / 471 ] simplifiying candidate # 270.300 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 270.300 * * [simplify]: iters left: 6 (12 enodes) 270.304 * * [simplify]: iters left: 5 (51 enodes) 270.316 * * [simplify]: iters left: 4 (81 enodes) 270.331 * * [simplify]: iters left: 3 (135 enodes) 270.368 * * [simplify]: iters left: 2 (260 enodes) 270.446 * * [simplify]: iters left: 1 (496 enodes) 270.672 * * [simplify]: Extracting #0: cost 1 inf + 0 270.672 * * [simplify]: Extracting #1: cost 6 inf + 0 270.672 * * [simplify]: Extracting #2: cost 38 inf + 0 270.673 * * [simplify]: Extracting #3: cost 139 inf + 1 270.674 * * [simplify]: Extracting #4: cost 203 inf + 919 270.680 * * [simplify]: Extracting #5: cost 139 inf + 12611 270.688 * * [simplify]: Extracting #6: cost 47 inf + 42056 270.700 * * [simplify]: Extracting #7: cost 9 inf + 67772 270.724 * * [simplify]: Extracting #8: cost 0 inf + 73907 270.738 * * [simplify]: Extracting #9: cost 0 inf + 73383 270.749 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))) 270.749 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 270.749 * * * * [progress]: [ 442 / 471 ] simplifiying candidate # 270.750 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 270.750 * * [simplify]: iters left: 6 (9 enodes) 270.753 * * [simplify]: iters left: 5 (38 enodes) 270.759 * * [simplify]: iters left: 4 (61 enodes) 270.780 * * [simplify]: iters left: 3 (101 enodes) 270.800 * * [simplify]: iters left: 2 (195 enodes) 270.852 * * [simplify]: iters left: 1 (364 enodes) 270.960 * * [simplify]: Extracting #0: cost 1 inf + 0 270.960 * * [simplify]: Extracting #1: cost 6 inf + 0 270.960 * * [simplify]: Extracting #2: cost 38 inf + 0 270.961 * * [simplify]: Extracting #3: cost 116 inf + 44 270.961 * * [simplify]: Extracting #4: cost 170 inf + 135 270.962 * * [simplify]: Extracting #5: cost 143 inf + 2414 270.966 * * [simplify]: Extracting #6: cost 71 inf + 17929 270.980 * * [simplify]: Extracting #7: cost 12 inf + 52022 270.996 * * [simplify]: Extracting #8: cost 0 inf + 62626 271.014 * * [simplify]: Extracting #9: cost 0 inf + 61596 271.032 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 271.032 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 271.033 * * * * [progress]: [ 443 / 471 ] simplifiying candidate # 271.033 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 271.033 * * [simplify]: iters left: 6 (11 enodes) 271.040 * * [simplify]: iters left: 5 (45 enodes) 271.055 * * [simplify]: iters left: 4 (66 enodes) 271.081 * * [simplify]: iters left: 3 (102 enodes) 271.110 * * [simplify]: iters left: 2 (193 enodes) 271.148 * * [simplify]: iters left: 1 (358 enodes) 271.313 * * [simplify]: Extracting #0: cost 1 inf + 0 271.313 * * [simplify]: Extracting #1: cost 4 inf + 0 271.313 * * [simplify]: Extracting #2: cost 8 inf + 0 271.313 * * [simplify]: Extracting #3: cost 32 inf + 1 271.314 * * [simplify]: Extracting #4: cost 102 inf + 43 271.315 * * [simplify]: Extracting #5: cost 151 inf + 133 271.316 * * [simplify]: Extracting #6: cost 129 inf + 2046 271.320 * * [simplify]: Extracting #7: cost 74 inf + 10318 271.329 * * [simplify]: Extracting #8: cost 40 inf + 25574 271.337 * * [simplify]: Extracting #9: cost 2 inf + 57128 271.346 * * [simplify]: Extracting #10: cost 0 inf + 58497 271.355 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) 271.355 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 271.355 * * * * [progress]: [ 444 / 471 ] simplifiying candidate # 271.355 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 271.355 * * [simplify]: iters left: 6 (11 enodes) 271.359 * * [simplify]: iters left: 5 (45 enodes) 271.366 * * [simplify]: iters left: 4 (67 enodes) 271.377 * * [simplify]: iters left: 3 (103 enodes) 271.412 * * [simplify]: iters left: 2 (191 enodes) 271.456 * * [simplify]: iters left: 1 (345 enodes) 271.587 * * [simplify]: Extracting #0: cost 1 inf + 0 271.587 * * [simplify]: Extracting #1: cost 4 inf + 0 271.587 * * [simplify]: Extracting #2: cost 9 inf + 0 271.587 * * [simplify]: Extracting #3: cost 37 inf + 1 271.587 * * [simplify]: Extracting #4: cost 113 inf + 43 271.588 * * [simplify]: Extracting #5: cost 147 inf + 176 271.589 * * [simplify]: Extracting #6: cost 108 inf + 4935 271.593 * * [simplify]: Extracting #7: cost 39 inf + 27167 271.601 * * [simplify]: Extracting #8: cost 3 inf + 55675 271.615 * * [simplify]: Extracting #9: cost 0 inf + 56258 271.634 * * [simplify]: Extracting #10: cost 0 inf + 55390 271.654 * * [simplify]: Extracting #11: cost 0 inf + 55007 271.667 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 271.667 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))))) 271.668 * * * * [progress]: [ 445 / 471 ] simplifiying candidate # 271.668 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 271.668 * * [simplify]: iters left: 6 (10 enodes) 271.671 * * [simplify]: iters left: 5 (42 enodes) 271.678 * * [simplify]: iters left: 4 (65 enodes) 271.692 * * [simplify]: iters left: 3 (102 enodes) 271.728 * * [simplify]: iters left: 2 (194 enodes) 271.775 * * [simplify]: iters left: 1 (369 enodes) 271.893 * * [simplify]: Extracting #0: cost 1 inf + 0 271.893 * * [simplify]: Extracting #1: cost 6 inf + 0 271.893 * * [simplify]: Extracting #2: cost 41 inf + 0 271.893 * * [simplify]: Extracting #3: cost 120 inf + 84 271.894 * * [simplify]: Extracting #4: cost 150 inf + 632 271.896 * * [simplify]: Extracting #5: cost 101 inf + 9941 271.907 * * [simplify]: Extracting #6: cost 31 inf + 43542 271.926 * * [simplify]: Extracting #7: cost 1 inf + 71261 271.943 * * [simplify]: Extracting #8: cost 0 inf + 68919 271.954 * * [simplify]: Extracting #9: cost 0 inf + 66507 271.965 * * [simplify]: Extracting #10: cost 0 inf + 65470 271.976 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 271.976 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 1)) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 271.976 * * * * [progress]: [ 446 / 471 ] simplifiying candidate # 271.976 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 271.977 * * [simplify]: iters left: 6 (11 enodes) 271.983 * * [simplify]: iters left: 5 (48 enodes) 271.993 * * [simplify]: iters left: 4 (75 enodes) 272.019 * * [simplify]: iters left: 3 (122 enodes) 272.065 * * [simplify]: iters left: 2 (231 enodes) 272.158 * * [simplify]: iters left: 1 (460 enodes) 272.305 * * [simplify]: Extracting #0: cost 1 inf + 0 272.305 * * [simplify]: Extracting #1: cost 6 inf + 0 272.305 * * [simplify]: Extracting #2: cost 40 inf + 0 272.305 * * [simplify]: Extracting #3: cost 135 inf + 43 272.306 * * [simplify]: Extracting #4: cost 171 inf + 1955 272.310 * * [simplify]: Extracting #5: cost 102 inf + 19321 272.318 * * [simplify]: Extracting #6: cost 17 inf + 58651 272.328 * * [simplify]: Extracting #7: cost 1 inf + 70989 272.339 * * [simplify]: Extracting #8: cost 0 inf + 69977 272.350 * * [simplify]: Extracting #9: cost 0 inf + 69937 272.363 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))) 272.363 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* 2 PI) (- 1/4 (/ k 4)))))) 272.363 * * * * [progress]: [ 447 / 471 ] simplifiying candidate # 272.363 * [simplify]: Simplifying (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) 272.363 * * [simplify]: iters left: 6 (10 enodes) 272.367 * * [simplify]: iters left: 5 (42 enodes) 272.374 * * [simplify]: iters left: 4 (65 enodes) 272.386 * * [simplify]: iters left: 3 (102 enodes) 272.420 * * [simplify]: iters left: 2 (194 enodes) 272.471 * * [simplify]: iters left: 1 (369 enodes) 272.620 * * [simplify]: Extracting #0: cost 1 inf + 0 272.620 * * [simplify]: Extracting #1: cost 6 inf + 0 272.621 * * [simplify]: Extracting #2: cost 41 inf + 0 272.621 * * [simplify]: Extracting #3: cost 120 inf + 84 272.623 * * [simplify]: Extracting #4: cost 150 inf + 632 272.627 * * [simplify]: Extracting #5: cost 101 inf + 9941 272.638 * * [simplify]: Extracting #6: cost 31 inf + 43542 272.658 * * [simplify]: Extracting #7: cost 1 inf + 71261 272.673 * * [simplify]: Extracting #8: cost 0 inf + 68919 272.686 * * [simplify]: Extracting #9: cost 0 inf + 66507 272.697 * * [simplify]: Extracting #10: cost 0 inf + 65470 272.716 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))) 272.716 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (pow (* 2 PI) (* 1/2 (- 1 k)))))) 272.717 * * * * [progress]: [ 448 / 471 ] simplifiying candidate # 272.717 * [simplify]: Simplifying (/ 1 (pow (* 2 PI) (/ (- 1 k) 2))) 272.717 * * [simplify]: iters left: 6 (9 enodes) 272.722 * * [simplify]: iters left: 5 (39 enodes) 272.735 * * [simplify]: iters left: 4 (62 enodes) 272.757 * * [simplify]: iters left: 3 (102 enodes) 272.795 * * [simplify]: iters left: 2 (196 enodes) 272.836 * * [simplify]: iters left: 1 (372 enodes) 273.010 * * [simplify]: Extracting #0: cost 1 inf + 0 273.010 * * [simplify]: Extracting #1: cost 6 inf + 0 273.010 * * [simplify]: Extracting #2: cost 37 inf + 1 273.011 * * [simplify]: Extracting #3: cost 124 inf + 2 273.011 * * [simplify]: Extracting #4: cost 169 inf + 93 273.012 * * [simplify]: Extracting #5: cost 164 inf + 516 273.014 * * [simplify]: Extracting #6: cost 101 inf + 9402 273.024 * * [simplify]: Extracting #7: cost 23 inf + 53261 273.035 * * [simplify]: Extracting #8: cost 0 inf + 68339 273.046 * * [simplify]: Extracting #9: cost 0 inf + 67887 273.057 * [simplify]: Simplified to (/ 1 (pow (* PI 2) (* 1/2 (- 1 k)))) 273.057 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ 1 (pow (* PI 2) (* 1/2 (- 1 k)))))) 273.057 * * * * [progress]: [ 449 / 471 ] simplifiying candidate # 273.057 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 273.058 * * [simplify]: iters left: 3 (6 enodes) 273.059 * * [simplify]: iters left: 2 (22 enodes) 273.063 * * [simplify]: iters left: 1 (34 enodes) 273.069 * * [simplify]: Extracting #0: cost 1 inf + 0 273.069 * * [simplify]: Extracting #1: cost 10 inf + 0 273.069 * * [simplify]: Extracting #2: cost 26 inf + 0 273.069 * * [simplify]: Extracting #3: cost 23 inf + 128 273.070 * * [simplify]: Extracting #4: cost 10 inf + 1713 273.071 * * [simplify]: Extracting #5: cost 0 inf + 4919 273.072 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 273.072 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ 1 2)))) (pow (* 2 PI) (/ k 2)))) 273.072 * * * * [progress]: [ 450 / 471 ] simplifiying candidate # 273.072 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 273.072 * * [simplify]: iters left: 5 (9 enodes) 273.078 * * [simplify]: iters left: 4 (38 enodes) 273.086 * * [simplify]: iters left: 3 (63 enodes) 273.096 * * [simplify]: iters left: 2 (98 enodes) 273.120 * * [simplify]: iters left: 1 (167 enodes) 273.157 * * [simplify]: Extracting #0: cost 1 inf + 0 273.157 * * [simplify]: Extracting #1: cost 13 inf + 0 273.158 * * [simplify]: Extracting #2: cost 54 inf + 1 273.158 * * [simplify]: Extracting #3: cost 87 inf + 5 273.159 * * [simplify]: Extracting #4: cost 68 inf + 1334 273.161 * * [simplify]: Extracting #5: cost 40 inf + 5047 273.165 * * [simplify]: Extracting #6: cost 11 inf + 17686 273.172 * * [simplify]: Extracting #7: cost 0 inf + 25802 273.179 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 273.179 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))))) 273.179 * * * * [progress]: [ 451 / 471 ] simplifiying candidate # 273.179 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 273.180 * * [simplify]: iters left: 5 (8 enodes) 273.185 * * [simplify]: iters left: 4 (35 enodes) 273.198 * * [simplify]: iters left: 3 (56 enodes) 273.217 * * [simplify]: iters left: 2 (89 enodes) 273.255 * * [simplify]: iters left: 1 (175 enodes) 273.322 * * [simplify]: Extracting #0: cost 1 inf + 0 273.322 * * [simplify]: Extracting #1: cost 13 inf + 0 273.322 * * [simplify]: Extracting #2: cost 53 inf + 1 273.323 * * [simplify]: Extracting #3: cost 83 inf + 47 273.323 * * [simplify]: Extracting #4: cost 60 inf + 2914 273.325 * * [simplify]: Extracting #5: cost 14 inf + 15118 273.328 * * [simplify]: Extracting #6: cost 1 inf + 21571 273.331 * * [simplify]: Extracting #7: cost 0 inf + 21783 273.334 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 273.334 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))))) 273.334 * * * * [progress]: [ 452 / 471 ] simplifiying candidate # 273.335 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 273.335 * * [simplify]: iters left: 5 (6 enodes) 273.337 * * [simplify]: iters left: 4 (24 enodes) 273.341 * * [simplify]: iters left: 3 (33 enodes) 273.346 * * [simplify]: Extracting #0: cost 1 inf + 0 273.346 * * [simplify]: Extracting #1: cost 0 inf + 1 273.346 * [simplify]: Simplified to 1 273.346 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 273.346 * * * * [progress]: [ 453 / 471 ] simplifiying candidate # 273.346 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 273.346 * * [simplify]: iters left: 6 (9 enodes) 273.349 * * [simplify]: iters left: 5 (38 enodes) 273.365 * * [simplify]: iters left: 4 (63 enodes) 273.386 * * [simplify]: iters left: 3 (98 enodes) 273.409 * * [simplify]: iters left: 2 (167 enodes) 273.455 * * [simplify]: iters left: 1 (317 enodes) 273.568 * * [simplify]: Extracting #0: cost 1 inf + 0 273.568 * * [simplify]: Extracting #1: cost 3 inf + 0 273.568 * * [simplify]: Extracting #2: cost 5 inf + 0 273.568 * * [simplify]: Extracting #3: cost 30 inf + 0 273.568 * * [simplify]: Extracting #4: cost 100 inf + 2 273.569 * * [simplify]: Extracting #5: cost 139 inf + 8 273.569 * * [simplify]: Extracting #6: cost 126 inf + 1468 273.572 * * [simplify]: Extracting #7: cost 64 inf + 13749 273.579 * * [simplify]: Extracting #8: cost 4 inf + 52469 273.586 * * [simplify]: Extracting #9: cost 0 inf + 54607 273.600 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 273.600 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 273.600 * * * * [progress]: [ 454 / 471 ] simplifiying candidate # 273.601 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 273.601 * * [simplify]: iters left: 6 (8 enodes) 273.606 * * [simplify]: iters left: 5 (35 enodes) 273.618 * * [simplify]: iters left: 4 (57 enodes) 273.637 * * [simplify]: iters left: 3 (90 enodes) 273.664 * * [simplify]: iters left: 2 (176 enodes) 273.710 * * [simplify]: iters left: 1 (339 enodes) 273.810 * * [simplify]: Extracting #0: cost 1 inf + 0 273.810 * * [simplify]: Extracting #1: cost 4 inf + 0 273.810 * * [simplify]: Extracting #2: cost 32 inf + 0 273.811 * * [simplify]: Extracting #3: cost 108 inf + 2 273.812 * * [simplify]: Extracting #4: cost 136 inf + 9 273.813 * * [simplify]: Extracting #5: cost 134 inf + 182 273.816 * * [simplify]: Extracting #6: cost 71 inf + 9517 273.827 * * [simplify]: Extracting #7: cost 38 inf + 21671 273.839 * * [simplify]: Extracting #8: cost 9 inf + 43354 273.847 * * [simplify]: Extracting #9: cost 0 inf + 50508 273.855 * * [simplify]: Extracting #10: cost 0 inf + 50376 273.863 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 273.863 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))))) 273.863 * * * * [progress]: [ 455 / 471 ] simplifiying candidate # 273.863 * * * * [progress]: [ 456 / 471 ] simplifiying candidate # 273.864 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 273.864 * * [simplify]: iters left: 6 (8 enodes) 273.867 * * [simplify]: iters left: 5 (38 enodes) 273.878 * * [simplify]: iters left: 4 (66 enodes) 273.892 * * [simplify]: iters left: 3 (110 enodes) 273.912 * * [simplify]: iters left: 2 (200 enodes) 273.963 * * [simplify]: iters left: 1 (403 enodes) 274.108 * * [simplify]: Extracting #0: cost 1 inf + 0 274.108 * * [simplify]: Extracting #1: cost 26 inf + 0 274.108 * * [simplify]: Extracting #2: cost 100 inf + 2 274.109 * * [simplify]: Extracting #3: cost 164 inf + 10 274.109 * * [simplify]: Extracting #4: cost 163 inf + 641 274.112 * * [simplify]: Extracting #5: cost 72 inf + 12998 274.118 * * [simplify]: Extracting #6: cost 25 inf + 35040 274.127 * * [simplify]: Extracting #7: cost 0 inf + 54806 274.143 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 274.143 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/4 (/ k 4))) (/ (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (/ (- 1 k) 2) 2))))) 274.144 * * * * [progress]: [ 457 / 471 ] simplifiying candidate # 274.144 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 274.144 * * [simplify]: iters left: 5 (8 enodes) 274.149 * * [simplify]: iters left: 4 (36 enodes) 274.161 * * [simplify]: iters left: 3 (57 enodes) 274.175 * * [simplify]: iters left: 2 (90 enodes) 274.192 * * [simplify]: iters left: 1 (176 enodes) 274.255 * * [simplify]: Extracting #0: cost 1 inf + 0 274.255 * * [simplify]: Extracting #1: cost 13 inf + 0 274.256 * * [simplify]: Extracting #2: cost 55 inf + 1 274.256 * * [simplify]: Extracting #3: cost 86 inf + 6 274.257 * * [simplify]: Extracting #4: cost 73 inf + 1511 274.260 * * [simplify]: Extracting #5: cost 26 inf + 9176 274.266 * * [simplify]: Extracting #6: cost 2 inf + 22574 274.270 * * [simplify]: Extracting #7: cost 0 inf + 23644 274.274 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 274.274 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) 274.274 * * * * [progress]: [ 458 / 471 ] simplifiying candidate # 274.275 * [simplify]: Simplifying (pow n (/ 1 2)) 274.275 * * [simplify]: iters left: 3 (5 enodes) 274.277 * * [simplify]: iters left: 2 (22 enodes) 274.285 * * [simplify]: iters left: 1 (42 enodes) 274.294 * * [simplify]: Extracting #0: cost 1 inf + 0 274.294 * * [simplify]: Extracting #1: cost 9 inf + 0 274.294 * * [simplify]: Extracting #2: cost 12 inf + 2 274.294 * * [simplify]: Extracting #3: cost 7 inf + 510 274.294 * * [simplify]: Extracting #4: cost 1 inf + 2073 274.295 * * [simplify]: Extracting #5: cost 0 inf + 2325 274.295 * [simplify]: Simplified to (sqrt n) 274.295 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt n) (* (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ k 2))))) 274.295 * * * * [progress]: [ 459 / 471 ] simplifiying candidate #real (real->posit16 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))))> 274.295 * * * * [progress]: [ 460 / 471 ] simplifiying candidate # 274.295 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 274.295 * * [simplify]: iters left: 6 (22 enodes) 274.303 * * [simplify]: iters left: 5 (109 enodes) 274.348 * * [simplify]: iters left: 4 (274 enodes) 274.490 * * [simplify]: Extracting #0: cost 1 inf + 0 274.490 * * [simplify]: Extracting #1: cost 28 inf + 0 274.491 * * [simplify]: Extracting #2: cost 210 inf + 3 274.494 * * [simplify]: Extracting #3: cost 248 inf + 10395 274.502 * * [simplify]: Extracting #4: cost 119 inf + 43002 274.520 * * [simplify]: Extracting #5: cost 35 inf + 63116 274.534 * * [simplify]: Extracting #6: cost 0 inf + 72981 274.548 * [simplify]: Simplified to (+ (fma (* (sqrt PI) 1/8) (* (* (* k (log (* PI 2))) (sqrt 2)) (* k (log (* PI 2)))) (* (* -1/2 (* (* k (log (* PI 2))) (sqrt 2))) (sqrt PI))) (sqrt (* PI 2))) 274.548 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (+ (fma (* (sqrt PI) 1/8) (* (* (* k (log (* PI 2))) (sqrt 2)) (* k (log (* PI 2)))) (* (* -1/2 (* (* k (log (* PI 2))) (sqrt 2))) (sqrt PI))) (sqrt (* PI 2)))))) 274.549 * * * * [progress]: [ 461 / 471 ] simplifiying candidate # 274.549 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 274.549 * * [simplify]: iters left: 6 (11 enodes) 274.553 * * [simplify]: iters left: 5 (47 enodes) 274.562 * * [simplify]: iters left: 4 (98 enodes) 274.596 * * [simplify]: iters left: 3 (258 enodes) 274.695 * * [simplify]: Extracting #0: cost 1 inf + 0 274.695 * * [simplify]: Extracting #1: cost 32 inf + 0 274.696 * * [simplify]: Extracting #2: cost 122 inf + 72 274.697 * * [simplify]: Extracting #3: cost 169 inf + 851 274.700 * * [simplify]: Extracting #4: cost 116 inf + 8262 274.709 * * [simplify]: Extracting #5: cost 40 inf + 25273 274.715 * * [simplify]: Extracting #6: cost 4 inf + 33510 274.721 * * [simplify]: Extracting #7: cost 0 inf + 35739 274.728 * * [simplify]: Extracting #8: cost 0 inf + 35654 274.734 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 274.734 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))))) 274.734 * * * * [progress]: [ 462 / 471 ] simplifiying candidate # 274.735 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 274.735 * * [simplify]: iters left: 6 (11 enodes) 274.739 * * [simplify]: iters left: 5 (47 enodes) 274.749 * * [simplify]: iters left: 4 (98 enodes) 274.790 * * [simplify]: iters left: 3 (258 enodes) 274.899 * * [simplify]: Extracting #0: cost 1 inf + 0 274.899 * * [simplify]: Extracting #1: cost 32 inf + 0 274.899 * * [simplify]: Extracting #2: cost 122 inf + 72 274.900 * * [simplify]: Extracting #3: cost 169 inf + 851 274.901 * * [simplify]: Extracting #4: cost 116 inf + 8262 274.906 * * [simplify]: Extracting #5: cost 40 inf + 25273 274.912 * * [simplify]: Extracting #6: cost 4 inf + 33510 274.920 * * [simplify]: Extracting #7: cost 0 inf + 35739 274.932 * * [simplify]: Extracting #8: cost 0 inf + 35654 274.945 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 274.945 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))))) 274.946 * * * * [progress]: [ 463 / 471 ] simplifiying candidate # 274.946 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 274.946 * * [simplify]: iters left: 6 (18 enodes) 274.958 * * [simplify]: iters left: 5 (83 enodes) 274.994 * * [simplify]: iters left: 4 (217 enodes) 275.105 * * [simplify]: Extracting #0: cost 1 inf + 0 275.105 * * [simplify]: Extracting #1: cost 30 inf + 0 275.106 * * [simplify]: Extracting #2: cost 133 inf + 3 275.106 * * [simplify]: Extracting #3: cost 153 inf + 1555 275.110 * * [simplify]: Extracting #4: cost 48 inf + 27042 275.116 * * [simplify]: Extracting #5: cost 1 inf + 39385 275.132 * * [simplify]: Extracting #6: cost 0 inf + 39357 275.144 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 275.144 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 275.144 * * * * [progress]: [ 464 / 471 ] simplifiying candidate # 275.145 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 275.145 * * [simplify]: iters left: 6 (10 enodes) 275.151 * * [simplify]: iters left: 5 (44 enodes) 275.168 * * [simplify]: iters left: 4 (87 enodes) 275.200 * * [simplify]: iters left: 3 (211 enodes) 275.292 * * [simplify]: Extracting #0: cost 1 inf + 0 275.292 * * [simplify]: Extracting #1: cost 32 inf + 0 275.293 * * [simplify]: Extracting #2: cost 115 inf + 2 275.293 * * [simplify]: Extracting #3: cost 148 inf + 1208 275.296 * * [simplify]: Extracting #4: cost 61 inf + 14505 275.300 * * [simplify]: Extracting #5: cost 8 inf + 26237 275.305 * * [simplify]: Extracting #6: cost 1 inf + 30263 275.310 * * [simplify]: Extracting #7: cost 0 inf + 31149 275.318 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 275.318 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (log n) (* 1/2 (- 1 k)))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 275.318 * * * * [progress]: [ 465 / 471 ] simplifiying candidate # 275.319 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 275.319 * * [simplify]: iters left: 6 (13 enodes) 275.327 * * [simplify]: iters left: 5 (53 enodes) 275.347 * * [simplify]: iters left: 4 (109 enodes) 275.396 * * [simplify]: iters left: 3 (311 enodes) 275.545 * * [simplify]: Extracting #0: cost 1 inf + 0 275.546 * * [simplify]: Extracting #1: cost 34 inf + 0 275.546 * * [simplify]: Extracting #2: cost 135 inf + 73 275.548 * * [simplify]: Extracting #3: cost 194 inf + 2919 275.555 * * [simplify]: Extracting #4: cost 87 inf + 21540 275.568 * * [simplify]: Extracting #5: cost 7 inf + 41330 275.588 * * [simplify]: Extracting #6: cost 0 inf + 43042 275.599 * * [simplify]: Extracting #7: cost 0 inf + 43035 275.607 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 275.607 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (log n) (* k (log n))))) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 275.607 * * * * [progress]: [ 466 / 471 ] simplifiying candidate # 275.608 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 2)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) (pow k 3)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3)))) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3)))) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (* (sqrt 1/2) k)))))))))))))))) 275.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 275.608 * * * * [progress]: [ 467 / 471 ] simplifiying candidate # 275.608 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 275.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 275.608 * * * * [progress]: [ 468 / 471 ] simplifiying candidate # 275.608 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))) 275.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 275.608 * * * * [progress]: [ 469 / 471 ] simplifiying candidate # 275.609 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 275.609 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 275.609 * * * * [progress]: [ 470 / 471 ] simplifiying candidate # 275.609 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 275.609 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 275.610 * * * * [progress]: [ 471 / 471 ] simplifiying candidate # 275.610 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 275.610 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 275.610 * * * [progress]: adding candidates to table 282.329 * [progress]: [Phase 3 of 3] Extracting. 282.329 * * [regime]: Finding splitpoints for: (# # # # # #) 282.331 * * * [regime-changes]: Trying 2 branch expressions: (n k) 282.331 * * * * [regimes]: Trying to branch on n from (# # # # # #) 282.386 * * * * [regimes]: Trying to branch on k from (# # # # # #) 282.451 * * * [regime]: Found split indices: #