0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.167 * * * [progress]: [2/2] Setting up program. 0.171 * [progress]: [Phase 2 of 3] Improving. 0.171 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.171 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.171 * * [simplify]: iters left: 6 (13 enodes) 0.175 * * [simplify]: iters left: 5 (57 enodes) 0.211 * * [simplify]: iters left: 4 (96 enodes) 0.236 * * [simplify]: iters left: 3 (172 enodes) 0.275 * * [simplify]: iters left: 2 (338 enodes) 0.399 * * [simplify]: Extracting #0: cost 1 inf + 0 0.399 * * [simplify]: Extracting #1: cost 41 inf + 0 0.399 * * [simplify]: Extracting #2: cost 120 inf + 1 0.400 * * [simplify]: Extracting #3: cost 166 inf + 127 0.401 * * [simplify]: Extracting #4: cost 166 inf + 467 0.403 * * [simplify]: Extracting #5: cost 119 inf + 9856 0.409 * * [simplify]: Extracting #6: cost 46 inf + 40838 0.420 * * [simplify]: Extracting #7: cost 4 inf + 73302 0.441 * * [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))) 0.466 * * [progress]: iteration 1 / 4 0.467 * * * [progress]: picking best candidate 0.472 * * * * [pick]: Picked # 0.472 * * * [progress]: localizing error 0.518 * * * [progress]: generating rewritten candidates 0.518 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.638 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.638 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.638 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.638 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.638 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.638 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.638 * [taylor]: Taking taylor expansion of 1/2 in k 0.638 * [backup-simplify]: Simplify 1/2 into 1/2 0.638 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.638 * [taylor]: Taking taylor expansion of 1 in k 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of k in k 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.638 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.638 * [taylor]: Taking taylor expansion of 2 in k 0.638 * [backup-simplify]: Simplify 2 into 2 0.638 * [taylor]: Taking taylor expansion of (* n PI) in k 0.638 * [taylor]: Taking taylor expansion of n in k 0.638 * [backup-simplify]: Simplify n into n 0.638 * [taylor]: Taking taylor expansion of PI in k 0.638 * [backup-simplify]: Simplify PI into PI 0.638 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.638 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.638 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.639 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.640 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.640 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.640 * [taylor]: Taking taylor expansion of 1/2 in n 0.640 * [backup-simplify]: Simplify 1/2 into 1/2 0.640 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.640 * [taylor]: Taking taylor expansion of 1 in n 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [backup-simplify]: Simplify k into k 0.640 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.640 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.640 * [taylor]: Taking taylor expansion of 2 in n 0.640 * [backup-simplify]: Simplify 2 into 2 0.640 * [taylor]: Taking taylor expansion of (* n PI) in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [backup-simplify]: Simplify PI into PI 0.640 * [backup-simplify]: Simplify (* 0 PI) into 0 0.641 * [backup-simplify]: Simplify (* 2 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.644 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.645 * [backup-simplify]: Simplify (- k) into (- k) 0.645 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.645 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.647 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.649 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.649 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.649 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.649 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.649 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.649 * [taylor]: Taking taylor expansion of 1/2 in n 0.649 * [backup-simplify]: Simplify 1/2 into 1/2 0.649 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.649 * [taylor]: Taking taylor expansion of 1 in n 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of k in n 0.649 * [backup-simplify]: Simplify k into k 0.649 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.649 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.649 * [taylor]: Taking taylor expansion of 2 in n 0.649 * [backup-simplify]: Simplify 2 into 2 0.649 * [taylor]: Taking taylor expansion of (* n PI) in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of PI in n 0.649 * [backup-simplify]: Simplify PI into PI 0.650 * [backup-simplify]: Simplify (* 0 PI) into 0 0.650 * [backup-simplify]: Simplify (* 2 0) into 0 0.651 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.653 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.654 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.654 * [backup-simplify]: Simplify (- k) into (- k) 0.654 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.654 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.657 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.658 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.658 * [taylor]: Taking taylor expansion of 1/2 in k 0.658 * [backup-simplify]: Simplify 1/2 into 1/2 0.658 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.658 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.658 * [taylor]: Taking taylor expansion of 1 in k 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of k in k 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.658 * [taylor]: Taking taylor expansion of (log n) in k 0.658 * [taylor]: Taking taylor expansion of n in k 0.658 * [backup-simplify]: Simplify n into n 0.658 * [backup-simplify]: Simplify (log n) into (log n) 0.658 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.658 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.658 * [taylor]: Taking taylor expansion of 2 in k 0.658 * [backup-simplify]: Simplify 2 into 2 0.658 * [taylor]: Taking taylor expansion of PI in k 0.658 * [backup-simplify]: Simplify PI into PI 0.659 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.660 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.660 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (+ 1 0) into 1 0.662 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.663 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.664 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.665 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.666 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.673 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.674 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.676 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.676 * [taylor]: Taking taylor expansion of 0 in k 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.677 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [backup-simplify]: Simplify (- 1) into -1 0.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.682 * [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))))) 0.684 * [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))))))) 0.686 * [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))))))) 0.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.697 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.697 * [taylor]: Taking taylor expansion of 0 in k 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.701 * [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 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.706 * [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))))) 0.710 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 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))))) 0.720 * [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))))) 0.721 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 0.721 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.721 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.721 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.721 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.721 * [taylor]: Taking taylor expansion of 1/2 in k 0.722 * [backup-simplify]: Simplify 1/2 into 1/2 0.722 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.722 * [taylor]: Taking taylor expansion of 1 in k 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.722 * [taylor]: Taking taylor expansion of k in k 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.722 * [taylor]: Taking taylor expansion of 2 in k 0.722 * [backup-simplify]: Simplify 2 into 2 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.722 * [taylor]: Taking taylor expansion of PI in k 0.722 * [backup-simplify]: Simplify PI into PI 0.722 * [taylor]: Taking taylor expansion of n in k 0.722 * [backup-simplify]: Simplify n into n 0.722 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.722 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 0.723 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.724 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.724 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 0.724 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0.724 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.724 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.724 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.724 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.724 * [taylor]: Taking taylor expansion of 1/2 in n 0.724 * [backup-simplify]: Simplify 1/2 into 1/2 0.724 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.724 * [taylor]: Taking taylor expansion of 1 in n 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.725 * [backup-simplify]: Simplify k into k 0.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.725 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of 2 in n 0.725 * [backup-simplify]: Simplify 2 into 2 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [backup-simplify]: Simplify PI into PI 0.725 * [taylor]: Taking taylor expansion of n in n 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [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)) into (- (/ 1 k)) 0.727 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.728 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.730 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.731 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.732 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.732 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.732 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.732 * [taylor]: Taking taylor expansion of 1/2 in n 0.732 * [backup-simplify]: Simplify 1/2 into 1/2 0.732 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.732 * [taylor]: Taking taylor expansion of 1 in n 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [backup-simplify]: Simplify k into k 0.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.732 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of 2 in n 0.732 * [backup-simplify]: Simplify 2 into 2 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [backup-simplify]: Simplify PI into PI 0.732 * [taylor]: Taking taylor expansion of n in n 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ PI 1) into PI 0.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.734 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.734 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.734 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.737 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.738 * [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))))) 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.738 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.738 * [taylor]: Taking taylor expansion of 1/2 in k 0.738 * [backup-simplify]: Simplify 1/2 into 1/2 0.738 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.738 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.738 * [taylor]: Taking taylor expansion of 1 in k 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.739 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.739 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.739 * [taylor]: Taking taylor expansion of 2 in k 0.739 * [backup-simplify]: Simplify 2 into 2 0.739 * [taylor]: Taking taylor expansion of PI in k 0.739 * [backup-simplify]: Simplify PI into PI 0.740 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.741 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.741 * [taylor]: Taking taylor expansion of (log n) in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.741 * [backup-simplify]: Simplify n into n 0.741 * [backup-simplify]: Simplify (log n) into (log n) 0.741 * [backup-simplify]: Simplify (- 1) into -1 0.742 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.742 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.743 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.744 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.745 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.746 * [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))))) 0.747 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.754 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.756 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in k 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.762 * [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 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 0.769 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in k 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.777 * [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 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.783 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.786 * [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 0.786 * [taylor]: Taking taylor expansion of 0 in k 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [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)))))) 0.788 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.788 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.788 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.788 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.788 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.788 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.788 * [taylor]: Taking taylor expansion of 1/2 in k 0.788 * [backup-simplify]: Simplify 1/2 into 1/2 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.788 * [taylor]: Taking taylor expansion of k in k 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of 1 in k 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.789 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.789 * [taylor]: Taking taylor expansion of -2 in k 0.789 * [backup-simplify]: Simplify -2 into -2 0.789 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.789 * [taylor]: Taking taylor expansion of PI in k 0.789 * [backup-simplify]: Simplify PI into PI 0.789 * [taylor]: Taking taylor expansion of n in k 0.789 * [backup-simplify]: Simplify n into n 0.789 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.789 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.789 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.789 * [backup-simplify]: Simplify (+ 1 0) into 1 0.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.790 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.790 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.790 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.790 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.790 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.790 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.790 * [taylor]: Taking taylor expansion of 1/2 in n 0.790 * [backup-simplify]: Simplify 1/2 into 1/2 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.790 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.790 * [taylor]: Taking taylor expansion of k in n 0.790 * [backup-simplify]: Simplify k into k 0.790 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.790 * [taylor]: Taking taylor expansion of 1 in n 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.790 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.790 * [taylor]: Taking taylor expansion of -2 in n 0.790 * [backup-simplify]: Simplify -2 into -2 0.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.790 * [taylor]: Taking taylor expansion of PI in n 0.790 * [backup-simplify]: Simplify PI into PI 0.790 * [taylor]: Taking taylor expansion of n in n 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ PI 1) into PI 0.791 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.791 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.791 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.792 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.794 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.795 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0.795 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.795 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.795 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.795 * [taylor]: Taking taylor expansion of 1/2 in n 0.795 * [backup-simplify]: Simplify 1/2 into 1/2 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.795 * [taylor]: Taking taylor expansion of k in n 0.795 * [backup-simplify]: Simplify k into k 0.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.795 * [taylor]: Taking taylor expansion of 1 in n 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.795 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.795 * [taylor]: Taking taylor expansion of -2 in n 0.795 * [backup-simplify]: Simplify -2 into -2 0.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.795 * [taylor]: Taking taylor expansion of PI in n 0.795 * [backup-simplify]: Simplify PI into PI 0.795 * [taylor]: Taking taylor expansion of n in n 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ PI 1) into PI 0.796 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.796 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.796 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.796 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.798 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.798 * [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))))) 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.799 * [taylor]: Taking taylor expansion of 1/2 in k 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.799 * [taylor]: Taking taylor expansion of k in k 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of 1 in k 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.799 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.799 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.799 * [taylor]: Taking taylor expansion of -2 in k 0.799 * [backup-simplify]: Simplify -2 into -2 0.799 * [taylor]: Taking taylor expansion of PI in k 0.799 * [backup-simplify]: Simplify PI into PI 0.799 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.800 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.800 * [taylor]: Taking taylor expansion of (log n) in k 0.800 * [taylor]: Taking taylor expansion of n in k 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (log n) into (log n) 0.800 * [backup-simplify]: Simplify (+ 1 0) into 1 0.800 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.801 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.802 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.802 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.803 * [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))))) 0.804 * [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))))) 0.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 0.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.808 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.809 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.809 * [taylor]: Taking taylor expansion of 0 in k 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.817 * [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 0.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.821 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.823 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.824 * [taylor]: Taking taylor expansion of 0 in k 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.832 * [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 0.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.841 * [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 0.841 * [taylor]: Taking taylor expansion of 0 in k 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [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)))))) 0.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.842 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 0.842 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.842 * [taylor]: Taking taylor expansion of k in k 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [backup-simplify]: Simplify (sqrt 0) into 0 0.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.845 * [taylor]: Taking taylor expansion of k in k 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (sqrt 0) into 0 0.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.851 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.854 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 0.855 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 0.855 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 0.855 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.855 * [taylor]: Taking taylor expansion of k in k 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (sqrt 0) into 0 0.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.856 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.856 * [taylor]: Taking taylor expansion of k in k 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (sqrt 0) into 0 0.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.859 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.861 * [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)))))))) 0.862 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 0.862 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 0.862 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.862 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.862 * [taylor]: Taking taylor expansion of -1 in k 0.862 * [backup-simplify]: Simplify -1 into -1 0.862 * [taylor]: Taking taylor expansion of k in k 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ -1 1) into -1 0.862 * [backup-simplify]: Simplify (sqrt 0) into 0 0.863 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.863 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.863 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.863 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.863 * [taylor]: Taking taylor expansion of -1 in k 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of k in k 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ -1 1) into -1 0.864 * [backup-simplify]: Simplify (sqrt 0) into 0 0.865 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.865 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 0.865 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.868 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.874 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.874 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.875 * [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))))) 0.875 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.875 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.875 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.875 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.875 * [taylor]: Taking taylor expansion of 2 in n 0.875 * [backup-simplify]: Simplify 2 into 2 0.875 * [taylor]: Taking taylor expansion of (* n PI) in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of PI in n 0.875 * [backup-simplify]: Simplify PI into PI 0.875 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.875 * [taylor]: Taking taylor expansion of 2 in n 0.875 * [backup-simplify]: Simplify 2 into 2 0.875 * [taylor]: Taking taylor expansion of (* n PI) in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [taylor]: Taking taylor expansion of PI in n 0.875 * [backup-simplify]: Simplify PI into PI 0.876 * [backup-simplify]: Simplify (* 0 PI) into 0 0.876 * [backup-simplify]: Simplify (* 2 0) into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.879 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.879 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.898 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 0.898 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [backup-simplify]: Simplify 2 into 2 0.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [backup-simplify]: Simplify PI into PI 0.899 * [taylor]: Taking taylor expansion of n in n 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (/ PI 1) into PI 0.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.899 * [taylor]: Taking taylor expansion of 2 in n 0.899 * [backup-simplify]: Simplify 2 into 2 0.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.899 * [taylor]: Taking taylor expansion of PI in n 0.899 * [backup-simplify]: Simplify PI into PI 0.899 * [taylor]: Taking taylor expansion of n in n 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ PI 1) into PI 0.900 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.901 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [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 0.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.909 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 0.910 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.910 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.910 * [taylor]: Taking taylor expansion of -2 in n 0.910 * [backup-simplify]: Simplify -2 into -2 0.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.910 * [taylor]: Taking taylor expansion of PI in n 0.910 * [backup-simplify]: Simplify PI into PI 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ PI 1) into PI 0.910 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.910 * [taylor]: Taking taylor expansion of -2 in n 0.910 * [backup-simplify]: Simplify -2 into -2 0.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.910 * [taylor]: Taking taylor expansion of PI in n 0.910 * [backup-simplify]: Simplify PI into PI 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ PI 1) into PI 0.911 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.911 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [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 0.919 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.920 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.920 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.920 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 0.920 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.920 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.920 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.920 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.920 * [taylor]: Taking taylor expansion of 1/2 in n 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.920 * [taylor]: Taking taylor expansion of 1 in n 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of k in n 0.920 * [backup-simplify]: Simplify k into k 0.920 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.920 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.920 * [taylor]: Taking taylor expansion of 2 in n 0.920 * [backup-simplify]: Simplify 2 into 2 0.920 * [taylor]: Taking taylor expansion of (* n PI) in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of PI in n 0.921 * [backup-simplify]: Simplify PI into PI 0.921 * [backup-simplify]: Simplify (* 0 PI) into 0 0.922 * [backup-simplify]: Simplify (* 2 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.925 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.926 * [backup-simplify]: Simplify (- k) into (- k) 0.926 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.926 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.927 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.928 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.929 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.929 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.929 * [taylor]: Taking taylor expansion of k in n 0.930 * [backup-simplify]: Simplify k into k 0.930 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.930 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.930 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.930 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.930 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.930 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.930 * [taylor]: Taking taylor expansion of 1/2 in k 0.930 * [backup-simplify]: Simplify 1/2 into 1/2 0.930 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.930 * [taylor]: Taking taylor expansion of 1 in k 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of k in k 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.930 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.930 * [taylor]: Taking taylor expansion of 2 in k 0.930 * [backup-simplify]: Simplify 2 into 2 0.930 * [taylor]: Taking taylor expansion of (* n PI) in k 0.930 * [taylor]: Taking taylor expansion of n in k 0.930 * [backup-simplify]: Simplify n into n 0.930 * [taylor]: Taking taylor expansion of PI in k 0.930 * [backup-simplify]: Simplify PI into PI 0.931 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.931 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.931 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ 1 0) into 1 0.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.939 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.939 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.939 * [taylor]: Taking taylor expansion of k in k 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.940 * [backup-simplify]: Simplify (sqrt 0) into 0 0.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.941 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.941 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.941 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.941 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.941 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.941 * [taylor]: Taking taylor expansion of 1/2 in k 0.941 * [backup-simplify]: Simplify 1/2 into 1/2 0.941 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.941 * [taylor]: Taking taylor expansion of 1 in k 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of k in k 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.941 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.941 * [taylor]: Taking taylor expansion of 2 in k 0.941 * [backup-simplify]: Simplify 2 into 2 0.941 * [taylor]: Taking taylor expansion of (* n PI) in k 0.941 * [taylor]: Taking taylor expansion of n in k 0.941 * [backup-simplify]: Simplify n into n 0.942 * [taylor]: Taking taylor expansion of PI in k 0.942 * [backup-simplify]: Simplify PI into PI 0.942 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.942 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.942 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.943 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.943 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.943 * [taylor]: Taking taylor expansion of k in k 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [backup-simplify]: Simplify (sqrt 0) into 0 0.944 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.944 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 0.944 * [taylor]: Taking taylor expansion of 0 in n 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 0.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 0.946 * [backup-simplify]: Simplify (- 1) into -1 0.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.946 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 0.947 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0.947 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 0.947 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 0.947 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 0.947 * [taylor]: Taking taylor expansion of +nan.0 in n 0.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.947 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.947 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.947 * [taylor]: Taking taylor expansion of 2 in n 0.947 * [backup-simplify]: Simplify 2 into 2 0.948 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.948 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.948 * [taylor]: Taking taylor expansion of (* n PI) in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of PI in n 0.948 * [backup-simplify]: Simplify PI into PI 0.949 * [backup-simplify]: Simplify (* 0 PI) into 0 0.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.950 * [backup-simplify]: Simplify (sqrt 0) into 0 0.951 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.951 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.951 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.954 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 0.958 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0.959 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 0.959 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 0.959 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 0.959 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 0.959 * [taylor]: Taking taylor expansion of +nan.0 in n 0.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.959 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 0.959 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 0.959 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.959 * [taylor]: Taking taylor expansion of 2 in n 0.959 * [backup-simplify]: Simplify 2 into 2 0.959 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.960 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.960 * [taylor]: Taking taylor expansion of 2 in n 0.960 * [backup-simplify]: Simplify 2 into 2 0.960 * [taylor]: Taking taylor expansion of (* n PI) in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of PI in n 0.960 * [backup-simplify]: Simplify PI into PI 0.960 * [backup-simplify]: Simplify (* 0 PI) into 0 0.960 * [backup-simplify]: Simplify (* 2 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.962 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.963 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.963 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.963 * [taylor]: Taking taylor expansion of (* n PI) in n 0.963 * [taylor]: Taking taylor expansion of n in n 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of PI in n 0.963 * [backup-simplify]: Simplify PI into PI 0.963 * [backup-simplify]: Simplify (* 0 PI) into 0 0.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.964 * [backup-simplify]: Simplify (sqrt 0) into 0 0.965 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.965 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 0.965 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 0.965 * [taylor]: Taking taylor expansion of +nan.0 in n 0.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.965 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.965 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.965 * [taylor]: Taking taylor expansion of 2 in n 0.965 * [backup-simplify]: Simplify 2 into 2 0.965 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.966 * [taylor]: Taking taylor expansion of (* n PI) in n 0.966 * [taylor]: Taking taylor expansion of n in n 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [taylor]: Taking taylor expansion of PI in n 0.966 * [backup-simplify]: Simplify PI into PI 0.966 * [backup-simplify]: Simplify (* 0 PI) into 0 0.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.967 * [backup-simplify]: Simplify (sqrt 0) into 0 0.968 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 0.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.971 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0.972 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 0.973 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.973 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 0.973 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.974 * [backup-simplify]: Simplify (- 0) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 0.983 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 0.985 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 0.987 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.990 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.993 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 0.996 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0.996 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 0.996 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 0.996 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 0.996 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 0.996 * [taylor]: Taking taylor expansion of +nan.0 in n 0.996 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.997 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 0.997 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 0.997 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.997 * [taylor]: Taking taylor expansion of 2 in n 0.997 * [backup-simplify]: Simplify 2 into 2 0.997 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.997 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.997 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.997 * [taylor]: Taking taylor expansion of 2 in n 0.997 * [backup-simplify]: Simplify 2 into 2 0.997 * [taylor]: Taking taylor expansion of (* n PI) in n 0.997 * [taylor]: Taking taylor expansion of n in n 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [taylor]: Taking taylor expansion of PI in n 0.997 * [backup-simplify]: Simplify PI into PI 0.998 * [backup-simplify]: Simplify (* 0 PI) into 0 0.998 * [backup-simplify]: Simplify (* 2 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.000 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.001 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.001 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.001 * [taylor]: Taking taylor expansion of (* n PI) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [backup-simplify]: Simplify PI into PI 1.001 * [backup-simplify]: Simplify (* 0 PI) into 0 1.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.002 * [backup-simplify]: Simplify (sqrt 0) into 0 1.003 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.003 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1.003 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1.003 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1.003 * [taylor]: Taking taylor expansion of +nan.0 in n 1.003 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.003 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1.003 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.003 * [taylor]: Taking taylor expansion of 2 in n 1.003 * [backup-simplify]: Simplify 2 into 2 1.004 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.004 * [taylor]: Taking taylor expansion of (* n PI) in n 1.004 * [taylor]: Taking taylor expansion of n in n 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [taylor]: Taking taylor expansion of PI in n 1.004 * [backup-simplify]: Simplify PI into PI 1.004 * [backup-simplify]: Simplify (* 0 PI) into 0 1.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.006 * [backup-simplify]: Simplify (sqrt 0) into 0 1.006 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.006 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1.006 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1.006 * [taylor]: Taking taylor expansion of +nan.0 in n 1.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.007 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1.007 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1.007 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.007 * [taylor]: Taking taylor expansion of 2 in n 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.007 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.007 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.007 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.007 * [taylor]: Taking taylor expansion of 2 in n 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [taylor]: Taking taylor expansion of (* n PI) in n 1.007 * [taylor]: Taking taylor expansion of n in n 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of PI in n 1.007 * [backup-simplify]: Simplify PI into PI 1.008 * [backup-simplify]: Simplify (* 0 PI) into 0 1.008 * [backup-simplify]: Simplify (* 2 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.010 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1.010 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.011 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.011 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 1.011 * [taylor]: Taking taylor expansion of (* n PI) in n 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 1.011 * [taylor]: Taking taylor expansion of PI in n 1.011 * [backup-simplify]: Simplify PI into PI 1.012 * [backup-simplify]: Simplify (* 0 PI) into 0 1.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.013 * [backup-simplify]: Simplify (sqrt 0) into 0 1.013 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1.014 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.015 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1.016 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1.016 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.017 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.017 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.019 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.020 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1.021 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1.023 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1.023 * [backup-simplify]: Simplify (* +nan.0 0) into 0 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.030 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.032 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.048 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1.050 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.053 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1.055 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1.060 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1.064 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.069 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.072 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.078 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.087 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.091 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.095 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1.103 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1.104 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.104 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1.104 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.104 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.104 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.104 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.104 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.104 * [taylor]: Taking taylor expansion of 1/2 in n 1.104 * [backup-simplify]: Simplify 1/2 into 1/2 1.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.104 * [taylor]: Taking taylor expansion of 1 in n 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.104 * [taylor]: Taking taylor expansion of k in n 1.104 * [backup-simplify]: Simplify k into k 1.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.104 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.104 * [taylor]: Taking taylor expansion of 2 in n 1.104 * [backup-simplify]: Simplify 2 into 2 1.104 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.104 * [taylor]: Taking taylor expansion of PI in n 1.104 * [backup-simplify]: Simplify PI into PI 1.104 * [taylor]: Taking taylor expansion of n in n 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ PI 1) into PI 1.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.106 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.106 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.106 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.106 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.107 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.107 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.108 * [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))))) 1.108 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.108 * [taylor]: Taking taylor expansion of k in n 1.108 * [backup-simplify]: Simplify k into k 1.108 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.108 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.108 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.108 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.108 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.108 * [taylor]: Taking taylor expansion of 1/2 in k 1.108 * [backup-simplify]: Simplify 1/2 into 1/2 1.108 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.108 * [taylor]: Taking taylor expansion of 1 in k 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.108 * [taylor]: Taking taylor expansion of k in k 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.109 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.109 * [taylor]: Taking taylor expansion of 2 in k 1.109 * [backup-simplify]: Simplify 2 into 2 1.109 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.109 * [taylor]: Taking taylor expansion of PI in k 1.109 * [backup-simplify]: Simplify PI into PI 1.109 * [taylor]: Taking taylor expansion of n in k 1.109 * [backup-simplify]: Simplify n into n 1.109 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.109 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.109 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.109 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.110 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.110 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.110 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.110 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.110 * [taylor]: Taking taylor expansion of k in k 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (sqrt 0) into 0 1.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.111 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.111 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.111 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.111 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.111 * [taylor]: Taking taylor expansion of 1/2 in k 1.111 * [backup-simplify]: Simplify 1/2 into 1/2 1.111 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.111 * [taylor]: Taking taylor expansion of 1 in k 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.111 * [taylor]: Taking taylor expansion of k in k 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.112 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.112 * [taylor]: Taking taylor expansion of 2 in k 1.112 * [backup-simplify]: Simplify 2 into 2 1.112 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.112 * [taylor]: Taking taylor expansion of PI in k 1.112 * [backup-simplify]: Simplify PI into PI 1.112 * [taylor]: Taking taylor expansion of n in k 1.112 * [backup-simplify]: Simplify n into n 1.112 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.112 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.112 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.112 * [backup-simplify]: Simplify (- 1) into -1 1.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.113 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.113 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.113 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.113 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.113 * [taylor]: Taking taylor expansion of k in k 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (sqrt 0) into 0 1.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.114 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in n 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.115 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.115 * [taylor]: Taking taylor expansion of +nan.0 in n 1.115 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.115 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.115 * [taylor]: Taking taylor expansion of 1/2 in n 1.115 * [backup-simplify]: Simplify 1/2 into 1/2 1.115 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.115 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.115 * [taylor]: Taking taylor expansion of 1 in n 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.115 * [taylor]: Taking taylor expansion of k in n 1.115 * [backup-simplify]: Simplify k into k 1.115 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.115 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.115 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.115 * [taylor]: Taking taylor expansion of 2 in n 1.115 * [backup-simplify]: Simplify 2 into 2 1.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.115 * [taylor]: Taking taylor expansion of PI in n 1.115 * [backup-simplify]: Simplify PI into PI 1.115 * [taylor]: Taking taylor expansion of n in n 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ PI 1) into PI 1.116 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.117 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.117 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.117 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.118 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.119 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.120 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.121 * [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))))) 1.122 * [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)))))) 1.124 * [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))))))) 1.125 * [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))))))) 1.125 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.129 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.129 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.129 * [taylor]: Taking taylor expansion of +nan.0 in n 1.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.129 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.129 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.129 * [taylor]: Taking taylor expansion of 1/2 in n 1.129 * [backup-simplify]: Simplify 1/2 into 1/2 1.129 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.129 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.129 * [taylor]: Taking taylor expansion of 1 in n 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.129 * [taylor]: Taking taylor expansion of k in n 1.129 * [backup-simplify]: Simplify k into k 1.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.129 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.129 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.129 * [taylor]: Taking taylor expansion of 2 in n 1.129 * [backup-simplify]: Simplify 2 into 2 1.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.129 * [taylor]: Taking taylor expansion of PI in n 1.129 * [backup-simplify]: Simplify PI into PI 1.129 * [taylor]: Taking taylor expansion of n in n 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ PI 1) into PI 1.131 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.132 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.132 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.132 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.134 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.135 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.137 * [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))))) 1.138 * [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)))))) 1.139 * [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))))))) 1.140 * [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))))))) 1.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.147 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.159 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1.159 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.165 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1.165 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1.165 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1.165 * [taylor]: Taking taylor expansion of +nan.0 in n 1.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.165 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1.165 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1.165 * [taylor]: Taking taylor expansion of 1/2 in n 1.165 * [backup-simplify]: Simplify 1/2 into 1/2 1.165 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1.165 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.165 * [taylor]: Taking taylor expansion of 1 in n 1.165 * [backup-simplify]: Simplify 1 into 1 1.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.165 * [taylor]: Taking taylor expansion of k in n 1.165 * [backup-simplify]: Simplify k into k 1.165 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.165 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.165 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.165 * [taylor]: Taking taylor expansion of 2 in n 1.165 * [backup-simplify]: Simplify 2 into 2 1.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.165 * [taylor]: Taking taylor expansion of PI in n 1.165 * [backup-simplify]: Simplify PI into PI 1.165 * [taylor]: Taking taylor expansion of n in n 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (/ PI 1) into PI 1.166 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.167 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.168 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.168 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.170 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1.171 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.172 * [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))))) 1.173 * [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)))))) 1.175 * [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))))))) 1.176 * [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))))))) 1.180 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.181 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.181 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1.181 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.181 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.181 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.181 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.181 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.181 * [taylor]: Taking taylor expansion of 1/2 in n 1.181 * [backup-simplify]: Simplify 1/2 into 1/2 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.181 * [taylor]: Taking taylor expansion of k in n 1.181 * [backup-simplify]: Simplify k into k 1.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.181 * [taylor]: Taking taylor expansion of 1 in n 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.181 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.181 * [taylor]: Taking taylor expansion of -2 in n 1.181 * [backup-simplify]: Simplify -2 into -2 1.181 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.181 * [taylor]: Taking taylor expansion of PI in n 1.181 * [backup-simplify]: Simplify PI into PI 1.181 * [taylor]: Taking taylor expansion of n in n 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (/ PI 1) into PI 1.182 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.183 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.183 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.184 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.186 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.187 * [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))))) 1.187 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.187 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.187 * [taylor]: Taking taylor expansion of -1 in n 1.187 * [backup-simplify]: Simplify -1 into -1 1.187 * [taylor]: Taking taylor expansion of k in n 1.187 * [backup-simplify]: Simplify k into k 1.187 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.187 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.187 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.189 * [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))) 1.189 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.189 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.189 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.189 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.189 * [taylor]: Taking taylor expansion of 1/2 in k 1.189 * [backup-simplify]: Simplify 1/2 into 1/2 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.189 * [taylor]: Taking taylor expansion of k in k 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [taylor]: Taking taylor expansion of 1 in k 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.190 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.190 * [taylor]: Taking taylor expansion of -2 in k 1.190 * [backup-simplify]: Simplify -2 into -2 1.190 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.190 * [taylor]: Taking taylor expansion of PI in k 1.190 * [backup-simplify]: Simplify PI into PI 1.190 * [taylor]: Taking taylor expansion of n in k 1.190 * [backup-simplify]: Simplify n into n 1.190 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.190 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.190 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.191 * [backup-simplify]: Simplify (+ 1 0) into 1 1.191 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.191 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.191 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.192 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.192 * [taylor]: Taking taylor expansion of -1 in k 1.192 * [backup-simplify]: Simplify -1 into -1 1.192 * [taylor]: Taking taylor expansion of k in k 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (/ -1 1) into -1 1.192 * [backup-simplify]: Simplify (sqrt 0) into 0 1.194 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.194 * [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))))) 1.194 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.194 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.194 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.194 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.194 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.194 * [taylor]: Taking taylor expansion of 1/2 in k 1.194 * [backup-simplify]: Simplify 1/2 into 1/2 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.194 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.194 * [taylor]: Taking taylor expansion of k in k 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of 1 in k 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.195 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.195 * [taylor]: Taking taylor expansion of -2 in k 1.195 * [backup-simplify]: Simplify -2 into -2 1.195 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.195 * [taylor]: Taking taylor expansion of PI in k 1.195 * [backup-simplify]: Simplify PI into PI 1.195 * [taylor]: Taking taylor expansion of n in k 1.195 * [backup-simplify]: Simplify n into n 1.195 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.195 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.195 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.196 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.196 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.197 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.197 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.197 * [taylor]: Taking taylor expansion of -1 in k 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of k in k 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (/ -1 1) into -1 1.198 * [backup-simplify]: Simplify (sqrt 0) into 0 1.199 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.199 * [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))))) 1.200 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.200 * [taylor]: Taking taylor expansion of +nan.0 in n 1.200 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.200 * [taylor]: Taking taylor expansion of 1/2 in n 1.200 * [backup-simplify]: Simplify 1/2 into 1/2 1.200 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.200 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.200 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.200 * [taylor]: Taking taylor expansion of -2 in n 1.200 * [backup-simplify]: Simplify -2 into -2 1.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.200 * [taylor]: Taking taylor expansion of PI in n 1.200 * [backup-simplify]: Simplify PI into PI 1.200 * [taylor]: Taking taylor expansion of n in n 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (/ PI 1) into PI 1.201 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.202 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.202 * [taylor]: Taking taylor expansion of k in n 1.202 * [backup-simplify]: Simplify k into k 1.202 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.202 * [taylor]: Taking taylor expansion of 1 in n 1.202 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.204 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.205 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.206 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.207 * [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))))) 1.208 * [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)))))) 1.209 * [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)))))) 1.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.215 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.215 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.215 * [taylor]: Taking taylor expansion of +nan.0 in n 1.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.215 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.215 * [taylor]: Taking taylor expansion of 1/2 in n 1.215 * [backup-simplify]: Simplify 1/2 into 1/2 1.215 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.215 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.215 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.215 * [taylor]: Taking taylor expansion of -2 in n 1.215 * [backup-simplify]: Simplify -2 into -2 1.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.215 * [taylor]: Taking taylor expansion of PI in n 1.215 * [backup-simplify]: Simplify PI into PI 1.215 * [taylor]: Taking taylor expansion of n in n 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ PI 1) into PI 1.216 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.217 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.217 * [taylor]: Taking taylor expansion of k in n 1.217 * [backup-simplify]: Simplify k into k 1.217 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.217 * [taylor]: Taking taylor expansion of 1 in n 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.218 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.219 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.219 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.220 * [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))))) 1.221 * [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)))))) 1.221 * [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))))))) 1.222 * [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))))))) 1.223 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.226 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1.228 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.233 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1.233 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1.233 * [taylor]: Taking taylor expansion of +nan.0 in n 1.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.233 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1.233 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1.233 * [taylor]: Taking taylor expansion of 1/2 in n 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1.233 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.233 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.233 * [taylor]: Taking taylor expansion of -2 in n 1.233 * [backup-simplify]: Simplify -2 into -2 1.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.233 * [taylor]: Taking taylor expansion of PI in n 1.233 * [backup-simplify]: Simplify PI into PI 1.233 * [taylor]: Taking taylor expansion of n in n 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ PI 1) into PI 1.234 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.234 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.234 * [taylor]: Taking taylor expansion of k in n 1.234 * [backup-simplify]: Simplify k into k 1.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.235 * [taylor]: Taking taylor expansion of 1 in n 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.235 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.236 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1.237 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.237 * [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))))) 1.238 * [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)))))) 1.239 * [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))))))) 1.240 * [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))))))) 1.242 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.242 * * * [progress]: simplifying candidates 1.242 * * * * [progress]: [ 1 / 196 ] simplifiying candidate # 1.242 * * * * [progress]: [ 2 / 196 ] simplifiying candidate # 1.242 * * * * [progress]: [ 3 / 196 ] simplifiying candidate # 1.243 * [simplify]: Simplifying (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)) 1.243 * * [simplify]: iters left: 6 (13 enodes) 1.249 * * [simplify]: iters left: 5 (54 enodes) 1.267 * * [simplify]: iters left: 4 (97 enodes) 1.309 * * [simplify]: iters left: 3 (254 enodes) 1.397 * * [simplify]: Extracting #0: cost 1 inf + 0 1.397 * * [simplify]: Extracting #1: cost 34 inf + 0 1.397 * * [simplify]: Extracting #2: cost 101 inf + 73 1.399 * * [simplify]: Extracting #3: cost 129 inf + 1240 1.403 * * [simplify]: Extracting #4: cost 60 inf + 15084 1.416 * * [simplify]: Extracting #5: cost 5 inf + 32052 1.430 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.444 * [simplify]: Simplified to (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2) 1.444 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log n) (+ (log 2) (log PI))) (* k (+ (log n) (+ (log 2) (log PI))))) 2)))) 1.445 * * * * [progress]: [ 4 / 196 ] simplifiying candidate # 1.445 * [simplify]: Simplifying (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)) 1.445 * * [simplify]: iters left: 6 (12 enodes) 1.452 * * [simplify]: iters left: 5 (52 enodes) 1.469 * * [simplify]: iters left: 4 (90 enodes) 1.492 * * [simplify]: iters left: 3 (207 enodes) 1.590 * * [simplify]: Extracting #0: cost 1 inf + 0 1.590 * * [simplify]: Extracting #1: cost 29 inf + 0 1.590 * * [simplify]: Extracting #2: cost 88 inf + 73 1.591 * * [simplify]: Extracting #3: cost 116 inf + 695 1.594 * * [simplify]: Extracting #4: cost 70 inf + 7498 1.604 * * [simplify]: Extracting #5: cost 27 inf + 17445 1.615 * * [simplify]: Extracting #6: cost 1 inf + 25793 1.621 * * [simplify]: Extracting #7: cost 0 inf + 26056 1.627 * [simplify]: Simplified to (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2) 1.627 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)) 2)))) 1.627 * * * * [progress]: [ 5 / 196 ] simplifiying candidate # 1.627 * [simplify]: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1.627 * * [simplify]: iters left: 6 (11 enodes) 1.631 * * [simplify]: iters left: 5 (51 enodes) 1.640 * * [simplify]: iters left: 4 (97 enodes) 1.670 * * [simplify]: iters left: 3 (202 enodes) 1.750 * * [simplify]: Extracting #0: cost 1 inf + 0 1.750 * * [simplify]: Extracting #1: cost 31 inf + 0 1.751 * * [simplify]: Extracting #2: cost 93 inf + 2 1.751 * * [simplify]: Extracting #3: cost 128 inf + 201 1.752 * * [simplify]: Extracting #4: cost 93 inf + 4096 1.755 * * [simplify]: Extracting #5: cost 18 inf + 20213 1.760 * * [simplify]: Extracting #6: cost 0 inf + 24488 1.766 * * [simplify]: Extracting #7: cost 0 inf + 24378 1.771 * [simplify]: Simplified to (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2) 1.771 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* n 2) PI)) (* k (log (* (* n 2) PI)))) 2)))) 1.771 * * * * [progress]: [ 6 / 196 ] simplifiying candidate # 1.771 * * * * [progress]: [ 7 / 196 ] simplifiying candidate # 1.772 * [simplify]: Simplifying (* (* 2 PI) n) 1.772 * * [simplify]: iters left: 4 (5 enodes) 1.774 * * [simplify]: iters left: 3 (19 enodes) 1.780 * * [simplify]: iters left: 2 (27 enodes) 1.788 * * [simplify]: iters left: 1 (32 enodes) 1.796 * * [simplify]: Extracting #0: cost 1 inf + 0 1.796 * * [simplify]: Extracting #1: cost 8 inf + 0 1.796 * * [simplify]: Extracting #2: cost 7 inf + 45 1.797 * * [simplify]: Extracting #3: cost 0 inf + 421 1.797 * [simplify]: Simplified to (* (* 2 PI) n) 1.797 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.797 * * * * [progress]: [ 8 / 196 ] simplifiying candidate # 1.797 * [simplify]: Simplifying (* (* 2 PI) n) 1.797 * * [simplify]: iters left: 4 (5 enodes) 1.800 * * [simplify]: iters left: 3 (19 enodes) 1.810 * * [simplify]: iters left: 2 (27 enodes) 1.818 * * [simplify]: iters left: 1 (32 enodes) 1.825 * * [simplify]: Extracting #0: cost 1 inf + 0 1.826 * * [simplify]: Extracting #1: cost 8 inf + 0 1.826 * * [simplify]: Extracting #2: cost 7 inf + 45 1.826 * * [simplify]: Extracting #3: cost 0 inf + 421 1.826 * [simplify]: Simplified to (* (* 2 PI) n) 1.826 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.826 * * * * [progress]: [ 9 / 196 ] simplifiying candidate # 1.826 * [simplify]: Simplifying (* (* 2 PI) n) 1.826 * * [simplify]: iters left: 4 (5 enodes) 1.828 * * [simplify]: iters left: 3 (19 enodes) 1.831 * * [simplify]: iters left: 2 (27 enodes) 1.835 * * [simplify]: iters left: 1 (32 enodes) 1.839 * * [simplify]: Extracting #0: cost 1 inf + 0 1.839 * * [simplify]: Extracting #1: cost 8 inf + 0 1.839 * * [simplify]: Extracting #2: cost 7 inf + 45 1.839 * * [simplify]: Extracting #3: cost 0 inf + 421 1.839 * [simplify]: Simplified to (* (* 2 PI) n) 1.839 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1.839 * * * * [progress]: [ 10 / 196 ] simplifiying candidate # 1.839 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1.839 * * [simplify]: iters left: 5 (8 enodes) 1.841 * * [simplify]: iters left: 4 (31 enodes) 1.847 * * [simplify]: iters left: 3 (51 enodes) 1.855 * * [simplify]: iters left: 2 (85 enodes) 1.882 * * [simplify]: iters left: 1 (152 enodes) 1.939 * * [simplify]: Extracting #0: cost 1 inf + 0 1.939 * * [simplify]: Extracting #1: cost 13 inf + 0 1.940 * * [simplify]: Extracting #2: cost 60 inf + 1 1.940 * * [simplify]: Extracting #3: cost 76 inf + 51 1.942 * * [simplify]: Extracting #4: cost 44 inf + 2846 1.944 * * [simplify]: Extracting #5: cost 21 inf + 7590 1.949 * * [simplify]: Extracting #6: cost 1 inf + 20687 1.954 * * [simplify]: Extracting #7: cost 0 inf + 20539 1.960 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1.960 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 1.960 * * * * [progress]: [ 11 / 196 ] simplifiying candidate # 1.960 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 1.961 * * [simplify]: iters left: 5 (6 enodes) 1.965 * * [simplify]: iters left: 4 (26 enodes) 1.973 * * [simplify]: iters left: 3 (35 enodes) 1.984 * * [simplify]: Extracting #0: cost 1 inf + 0 1.984 * * [simplify]: Extracting #1: cost 3 inf + 0 1.984 * * [simplify]: Extracting #2: cost 8 inf + 0 1.984 * * [simplify]: Extracting #3: cost 11 inf + 2 1.984 * * [simplify]: Extracting #4: cost 8 inf + 87 1.984 * * [simplify]: Extracting #5: cost 2 inf + 500 1.985 * * [simplify]: Extracting #6: cost 0 inf + 746 1.985 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 1.985 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 1.985 * * * * [progress]: [ 12 / 196 ] simplifiying candidate # 1.986 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 1.986 * * [simplify]: iters left: 5 (6 enodes) 1.990 * * [simplify]: iters left: 4 (26 enodes) 1.998 * * [simplify]: iters left: 3 (35 enodes) 2.008 * * [simplify]: Extracting #0: cost 1 inf + 0 2.008 * * [simplify]: Extracting #1: cost 3 inf + 0 2.008 * * [simplify]: Extracting #2: cost 8 inf + 0 2.008 * * [simplify]: Extracting #3: cost 11 inf + 2 2.008 * * [simplify]: Extracting #4: cost 8 inf + 87 2.009 * * [simplify]: Extracting #5: cost 2 inf + 460 2.009 * * [simplify]: Extracting #6: cost 0 inf + 666 2.009 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.009 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 2.010 * * * * [progress]: [ 13 / 196 ] simplifiying candidate # 2.010 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.010 * * [simplify]: iters left: 5 (7 enodes) 2.014 * * [simplify]: iters left: 4 (25 enodes) 2.023 * * [simplify]: iters left: 3 (30 enodes) 2.032 * * [simplify]: Extracting #0: cost 1 inf + 0 2.032 * * [simplify]: Extracting #1: cost 4 inf + 0 2.032 * * [simplify]: Extracting #2: cost 8 inf + 0 2.032 * * [simplify]: Extracting #3: cost 10 inf + 82 2.032 * * [simplify]: Extracting #4: cost 7 inf + 206 2.032 * * [simplify]: Extracting #5: cost 2 inf + 575 2.033 * * [simplify]: Extracting #6: cost 1 inf + 818 2.033 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.033 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.033 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 2.033 * * * * [progress]: [ 14 / 196 ] simplifiying candidate # 2.034 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.034 * * [simplify]: iters left: 5 (7 enodes) 2.038 * * [simplify]: iters left: 4 (25 enodes) 2.047 * * [simplify]: iters left: 3 (30 enodes) 2.056 * * [simplify]: Extracting #0: cost 1 inf + 0 2.056 * * [simplify]: Extracting #1: cost 4 inf + 0 2.056 * * [simplify]: Extracting #2: cost 8 inf + 0 2.056 * * [simplify]: Extracting #3: cost 10 inf + 42 2.056 * * [simplify]: Extracting #4: cost 7 inf + 126 2.056 * * [simplify]: Extracting #5: cost 2 inf + 495 2.057 * * [simplify]: Extracting #6: cost 1 inf + 698 2.057 * * [simplify]: Extracting #7: cost 0 inf + 901 2.057 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.057 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 2.058 * * * * [progress]: [ 15 / 196 ] simplifiying candidate # 2.058 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.058 * * [simplify]: iters left: 5 (6 enodes) 2.061 * * [simplify]: iters left: 4 (22 enodes) 2.069 * * [simplify]: iters left: 3 (27 enodes) 2.080 * * [simplify]: Extracting #0: cost 1 inf + 0 2.080 * * [simplify]: Extracting #1: cost 4 inf + 0 2.080 * * [simplify]: Extracting #2: cost 5 inf + 1 2.080 * * [simplify]: Extracting #3: cost 9 inf + 1 2.080 * * [simplify]: Extracting #4: cost 8 inf + 3 2.081 * * [simplify]: Extracting #5: cost 4 inf + 169 2.081 * * [simplify]: Extracting #6: cost 1 inf + 576 2.081 * * [simplify]: Extracting #7: cost 0 inf + 739 2.081 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.081 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 2.082 * * * * [progress]: [ 16 / 196 ] simplifiying candidate # 2.082 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.082 * * [simplify]: iters left: 5 (7 enodes) 2.086 * * [simplify]: iters left: 4 (25 enodes) 2.094 * * [simplify]: iters left: 3 (30 enodes) 2.103 * * [simplify]: Extracting #0: cost 1 inf + 0 2.104 * * [simplify]: Extracting #1: cost 4 inf + 0 2.104 * * [simplify]: Extracting #2: cost 8 inf + 0 2.104 * * [simplify]: Extracting #3: cost 10 inf + 82 2.104 * * [simplify]: Extracting #4: cost 7 inf + 206 2.104 * * [simplify]: Extracting #5: cost 2 inf + 495 2.104 * * [simplify]: Extracting #6: cost 1 inf + 698 2.104 * * [simplify]: Extracting #7: cost 0 inf + 901 2.105 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.105 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 2.105 * * * * [progress]: [ 17 / 196 ] simplifiying candidate # 2.105 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.105 * * [simplify]: iters left: 5 (7 enodes) 2.107 * * [simplify]: iters left: 4 (25 enodes) 2.112 * * [simplify]: iters left: 3 (30 enodes) 2.117 * * [simplify]: Extracting #0: cost 1 inf + 0 2.117 * * [simplify]: Extracting #1: cost 4 inf + 0 2.117 * * [simplify]: Extracting #2: cost 8 inf + 0 2.117 * * [simplify]: Extracting #3: cost 10 inf + 42 2.117 * * [simplify]: Extracting #4: cost 7 inf + 126 2.117 * * [simplify]: Extracting #5: cost 2 inf + 415 2.117 * * [simplify]: Extracting #6: cost 1 inf + 578 2.117 * * [simplify]: Extracting #7: cost 0 inf + 741 2.117 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.117 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 2.118 * * * * [progress]: [ 18 / 196 ] simplifiying candidate # 2.118 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.118 * * [simplify]: iters left: 5 (6 enodes) 2.120 * * [simplify]: iters left: 4 (22 enodes) 2.123 * * [simplify]: iters left: 3 (27 enodes) 2.131 * * [simplify]: Extracting #0: cost 1 inf + 0 2.131 * * [simplify]: Extracting #1: cost 4 inf + 0 2.131 * * [simplify]: Extracting #2: cost 5 inf + 1 2.131 * * [simplify]: Extracting #3: cost 9 inf + 1 2.131 * * [simplify]: Extracting #4: cost 8 inf + 3 2.131 * * [simplify]: Extracting #5: cost 4 inf + 169 2.131 * * [simplify]: Extracting #6: cost 1 inf + 456 2.132 * * [simplify]: Extracting #7: cost 0 inf + 579 2.132 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.132 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 2.132 * * * * [progress]: [ 19 / 196 ] simplifiying candidate # 2.132 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.133 * * [simplify]: iters left: 4 (6 enodes) 2.137 * * [simplify]: iters left: 3 (25 enodes) 2.146 * * [simplify]: iters left: 2 (36 enodes) 2.157 * * [simplify]: iters left: 1 (40 enodes) 2.168 * * [simplify]: Extracting #0: cost 1 inf + 0 2.169 * * [simplify]: Extracting #1: cost 7 inf + 0 2.169 * * [simplify]: Extracting #2: cost 16 inf + 0 2.169 * * [simplify]: Extracting #3: cost 13 inf + 44 2.169 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.170 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.170 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.170 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.170 * * * * [progress]: [ 20 / 196 ] simplifiying candidate # 2.171 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.171 * * [simplify]: iters left: 4 (6 enodes) 2.175 * * [simplify]: iters left: 3 (25 enodes) 2.183 * * [simplify]: iters left: 2 (36 enodes) 2.194 * * [simplify]: iters left: 1 (40 enodes) 2.206 * * [simplify]: Extracting #0: cost 1 inf + 0 2.206 * * [simplify]: Extracting #1: cost 7 inf + 0 2.206 * * [simplify]: Extracting #2: cost 16 inf + 0 2.207 * * [simplify]: Extracting #3: cost 13 inf + 44 2.207 * * [simplify]: Extracting #4: cost 3 inf + 823 2.207 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.208 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.208 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.208 * * * * [progress]: [ 21 / 196 ] simplifiying candidate # 2.208 * [simplify]: Simplifying (/ (- 1 k) 2) 2.208 * * [simplify]: iters left: 4 (5 enodes) 2.214 * * [simplify]: iters left: 3 (23 enodes) 2.218 * * [simplify]: iters left: 2 (32 enodes) 2.223 * * [simplify]: Extracting #0: cost 1 inf + 0 2.223 * * [simplify]: Extracting #1: cost 6 inf + 0 2.223 * * [simplify]: Extracting #2: cost 9 inf + 2 2.223 * * [simplify]: Extracting #3: cost 6 inf + 87 2.223 * * [simplify]: Extracting #4: cost 0 inf + 420 2.223 * [simplify]: Simplified to (/ (- 1 k) 2) 2.223 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.223 * * * * [progress]: [ 22 / 196 ] simplifiying candidate # 2.223 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.223 * * [simplify]: iters left: 5 (8 enodes) 2.226 * * [simplify]: iters left: 4 (31 enodes) 2.231 * * [simplify]: iters left: 3 (45 enodes) 2.239 * * [simplify]: iters left: 2 (51 enodes) 2.251 * * [simplify]: iters left: 1 (52 enodes) 2.264 * * [simplify]: Extracting #0: cost 1 inf + 0 2.265 * * [simplify]: Extracting #1: cost 8 inf + 0 2.265 * * [simplify]: Extracting #2: cost 18 inf + 0 2.265 * * [simplify]: Extracting #3: cost 19 inf + 2 2.265 * * [simplify]: Extracting #4: cost 9 inf + 977 2.266 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.266 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.267 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.267 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.267 * * * * [progress]: [ 23 / 196 ] simplifiying candidate # 2.268 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.268 * * [simplify]: iters left: 5 (8 enodes) 2.273 * * [simplify]: iters left: 4 (31 enodes) 2.283 * * [simplify]: iters left: 3 (45 enodes) 2.297 * * [simplify]: iters left: 2 (51 enodes) 2.311 * * [simplify]: iters left: 1 (52 enodes) 2.326 * * [simplify]: Extracting #0: cost 1 inf + 0 2.326 * * [simplify]: Extracting #1: cost 8 inf + 0 2.326 * * [simplify]: Extracting #2: cost 18 inf + 0 2.326 * * [simplify]: Extracting #3: cost 19 inf + 2 2.327 * * [simplify]: Extracting #4: cost 9 inf + 697 2.327 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.328 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.329 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.329 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.329 * * * * [progress]: [ 24 / 196 ] simplifiying candidate # 2.329 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.329 * * [simplify]: iters left: 5 (7 enodes) 2.334 * * [simplify]: iters left: 4 (29 enodes) 2.347 * * [simplify]: iters left: 3 (43 enodes) 2.359 * * [simplify]: iters left: 2 (47 enodes) 2.371 * * [simplify]: Extracting #0: cost 1 inf + 0 2.371 * * [simplify]: Extracting #1: cost 7 inf + 0 2.371 * * [simplify]: Extracting #2: cost 11 inf + 2 2.371 * * [simplify]: Extracting #3: cost 13 inf + 3 2.371 * * [simplify]: Extracting #4: cost 11 inf + 45 2.372 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.372 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.372 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 2.373 * * * * [progress]: [ 25 / 196 ] simplifiying candidate # 2.373 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.373 * * [simplify]: iters left: 5 (7 enodes) 2.378 * * [simplify]: iters left: 4 (28 enodes) 2.387 * * [simplify]: iters left: 3 (39 enodes) 2.400 * * [simplify]: iters left: 2 (43 enodes) 2.413 * * [simplify]: Extracting #0: cost 1 inf + 0 2.413 * * [simplify]: Extracting #1: cost 7 inf + 0 2.413 * * [simplify]: Extracting #2: cost 16 inf + 0 2.413 * * [simplify]: Extracting #3: cost 15 inf + 164 2.414 * * [simplify]: Extracting #4: cost 13 inf + 287 2.414 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.415 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.415 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.415 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 2.415 * * * * [progress]: [ 26 / 196 ] simplifiying candidate # 2.416 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.416 * * [simplify]: iters left: 5 (7 enodes) 2.420 * * [simplify]: iters left: 4 (28 enodes) 2.430 * * [simplify]: iters left: 3 (39 enodes) 2.442 * * [simplify]: iters left: 2 (43 enodes) 2.454 * * [simplify]: Extracting #0: cost 1 inf + 0 2.455 * * [simplify]: Extracting #1: cost 7 inf + 0 2.455 * * [simplify]: Extracting #2: cost 16 inf + 0 2.455 * * [simplify]: Extracting #3: cost 15 inf + 84 2.455 * * [simplify]: Extracting #4: cost 13 inf + 167 2.455 * * [simplify]: Extracting #5: cost 5 inf + 900 2.456 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.457 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.457 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 2.457 * * * * [progress]: [ 27 / 196 ] simplifiying candidate # 2.457 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.457 * * [simplify]: iters left: 5 (6 enodes) 2.461 * * [simplify]: iters left: 4 (26 enodes) 2.471 * * [simplify]: iters left: 3 (35 enodes) 2.481 * * [simplify]: Extracting #0: cost 1 inf + 0 2.481 * * [simplify]: Extracting #1: cost 6 inf + 0 2.481 * * [simplify]: Extracting #2: cost 9 inf + 2 2.481 * * [simplify]: Extracting #3: cost 11 inf + 3 2.481 * * [simplify]: Extracting #4: cost 10 inf + 4 2.482 * * [simplify]: Extracting #5: cost 3 inf + 535 2.482 * * [simplify]: Extracting #6: cost 0 inf + 822 2.482 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.482 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 2.483 * * * * [progress]: [ 28 / 196 ] simplifiying candidate # 2.483 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.483 * * [simplify]: iters left: 4 (6 enodes) 2.487 * * [simplify]: iters left: 3 (25 enodes) 2.496 * * [simplify]: iters left: 2 (36 enodes) 2.512 * * [simplify]: iters left: 1 (40 enodes) 2.524 * * [simplify]: Extracting #0: cost 1 inf + 0 2.524 * * [simplify]: Extracting #1: cost 7 inf + 0 2.524 * * [simplify]: Extracting #2: cost 16 inf + 0 2.524 * * [simplify]: Extracting #3: cost 13 inf + 44 2.525 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.525 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.526 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.526 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 2.526 * * * * [progress]: [ 29 / 196 ] simplifiying candidate # 2.526 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.526 * * [simplify]: iters left: 4 (6 enodes) 2.531 * * [simplify]: iters left: 3 (25 enodes) 2.536 * * [simplify]: iters left: 2 (36 enodes) 2.542 * * [simplify]: iters left: 1 (40 enodes) 2.549 * * [simplify]: Extracting #0: cost 1 inf + 0 2.549 * * [simplify]: Extracting #1: cost 7 inf + 0 2.549 * * [simplify]: Extracting #2: cost 16 inf + 0 2.549 * * [simplify]: Extracting #3: cost 13 inf + 44 2.549 * * [simplify]: Extracting #4: cost 3 inf + 823 2.550 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.550 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.550 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 2.550 * * * * [progress]: [ 30 / 196 ] simplifiying candidate # 2.550 * [simplify]: Simplifying (/ (- 1 k) 2) 2.550 * * [simplify]: iters left: 4 (5 enodes) 2.552 * * [simplify]: iters left: 3 (23 enodes) 2.556 * * [simplify]: iters left: 2 (32 enodes) 2.562 * * [simplify]: Extracting #0: cost 1 inf + 0 2.562 * * [simplify]: Extracting #1: cost 6 inf + 0 2.562 * * [simplify]: Extracting #2: cost 9 inf + 2 2.562 * * [simplify]: Extracting #3: cost 6 inf + 87 2.562 * * [simplify]: Extracting #4: cost 0 inf + 420 2.562 * [simplify]: Simplified to (/ (- 1 k) 2) 2.562 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2)))) 2.562 * * * * [progress]: [ 31 / 196 ] simplifiying candidate # 2.562 * [simplify]: Simplifying (/ (- 1 k) 2) 2.562 * * [simplify]: iters left: 4 (5 enodes) 2.564 * * [simplify]: iters left: 3 (23 enodes) 2.573 * * [simplify]: iters left: 2 (32 enodes) 2.583 * * [simplify]: Extracting #0: cost 1 inf + 0 2.583 * * [simplify]: Extracting #1: cost 6 inf + 0 2.583 * * [simplify]: Extracting #2: cost 9 inf + 2 2.583 * * [simplify]: Extracting #3: cost 6 inf + 87 2.583 * * [simplify]: Extracting #4: cost 0 inf + 420 2.583 * [simplify]: Simplified to (/ (- 1 k) 2) 2.583 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 2.584 * * * * [progress]: [ 32 / 196 ] simplifiying candidate # 2.584 * [simplify]: Simplifying (/ 1 2) 2.584 * * [simplify]: iters left: 2 (3 enodes) 2.587 * * [simplify]: iters left: 1 (12 enodes) 2.592 * * [simplify]: Extracting #0: cost 1 inf + 0 2.592 * * [simplify]: Extracting #1: cost 0 inf + 1 2.592 * [simplify]: Simplified to 1/2 2.592 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 2.592 * * * * [progress]: [ 33 / 196 ] simplifiying candidate # 2.592 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 2.593 * * [simplify]: iters left: 5 (8 enodes) 2.598 * * [simplify]: iters left: 4 (36 enodes) 2.610 * * [simplify]: iters left: 3 (57 enodes) 2.630 * * [simplify]: iters left: 2 (90 enodes) 2.667 * * [simplify]: iters left: 1 (176 enodes) 2.734 * * [simplify]: Extracting #0: cost 1 inf + 0 2.735 * * [simplify]: Extracting #1: cost 13 inf + 0 2.735 * * [simplify]: Extracting #2: cost 55 inf + 1 2.735 * * [simplify]: Extracting #3: cost 86 inf + 6 2.736 * * [simplify]: Extracting #4: cost 73 inf + 1511 2.739 * * [simplify]: Extracting #5: cost 26 inf + 9176 2.745 * * [simplify]: Extracting #6: cost 2 inf + 22574 2.752 * * [simplify]: Extracting #7: cost 0 inf + 23644 2.758 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 2.758 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 2.758 * * * * [progress]: [ 34 / 196 ] simplifiying candidate # 2.758 * * * * [progress]: [ 35 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 36 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 37 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 38 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 39 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 40 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 41 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 42 / 196 ] simplifiying candidate #real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 2.759 * * * * [progress]: [ 43 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 44 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 45 / 196 ] simplifiying candidate # 2.759 * * * * [progress]: [ 46 / 196 ] simplifiying candidate # 2.759 * [simplify]: Simplifying (- 1/2) 2.760 * * [simplify]: iters left: 2 (2 enodes) 2.762 * * [simplify]: iters left: 1 (7 enodes) 2.764 * * [simplify]: Extracting #0: cost 1 inf + 0 2.764 * * [simplify]: Extracting #1: cost 0 inf + 1 2.764 * [simplify]: Simplified to -1/2 2.764 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.765 * * * * [progress]: [ 47 / 196 ] simplifiying candidate # 2.765 * [simplify]: Simplifying (- 1) 2.765 * * [simplify]: iters left: 2 (2 enodes) 2.767 * * [simplify]: iters left: 1 (9 enodes) 2.771 * * [simplify]: Extracting #0: cost 1 inf + 0 2.771 * * [simplify]: Extracting #1: cost 0 inf + 1 2.771 * [simplify]: Simplified to -1 2.771 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.771 * * * * [progress]: [ 48 / 196 ] simplifiying candidate # 2.771 * [simplify]: Simplifying (- (/ 1 2)) 2.771 * * [simplify]: iters left: 4 (4 enodes) 2.776 * * [simplify]: iters left: 3 (19 enodes) 2.782 * * [simplify]: iters left: 2 (23 enodes) 2.789 * * [simplify]: Extracting #0: cost 1 inf + 0 2.789 * * [simplify]: Extracting #1: cost 0 inf + 1 2.790 * [simplify]: Simplified to -1/2 2.790 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.790 * * * * [progress]: [ 49 / 196 ] simplifiying candidate # 2.790 * * * * [progress]: [ 50 / 196 ] simplifiying candidate # 2.790 * * * * [progress]: [ 51 / 196 ] simplifiying candidate # 2.790 * [simplify]: Simplifying (- 0 (log (sqrt k))) 2.790 * * [simplify]: iters left: 4 (5 enodes) 2.791 * * [simplify]: iters left: 3 (17 enodes) 2.794 * * [simplify]: iters left: 2 (21 enodes) 2.797 * * [simplify]: iters left: 1 (23 enodes) 2.801 * * [simplify]: Extracting #0: cost 1 inf + 0 2.801 * * [simplify]: Extracting #1: cost 4 inf + 0 2.801 * * [simplify]: Extracting #2: cost 5 inf + 1 2.801 * * [simplify]: Extracting #3: cost 7 inf + 1 2.801 * * [simplify]: Extracting #4: cost 0 inf + 608 2.801 * [simplify]: Simplified to (- (log (sqrt k))) 2.801 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.801 * * * * [progress]: [ 52 / 196 ] simplifiying candidate # 2.801 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 2.801 * * [simplify]: iters left: 4 (6 enodes) 2.803 * * [simplify]: iters left: 3 (22 enodes) 2.807 * * [simplify]: Extracting #0: cost 1 inf + 0 2.807 * * [simplify]: Extracting #1: cost 4 inf + 0 2.807 * * [simplify]: Extracting #2: cost 5 inf + 1 2.807 * * [simplify]: Extracting #3: cost 7 inf + 1 2.807 * * [simplify]: Extracting #4: cost 6 inf + 2 2.807 * * [simplify]: Extracting #5: cost 1 inf + 457 2.807 * * [simplify]: Extracting #6: cost 0 inf + 608 2.807 * [simplify]: Simplified to (- (log (sqrt k))) 2.807 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.807 * * * * [progress]: [ 53 / 196 ] simplifiying candidate # 2.807 * * * * [progress]: [ 54 / 196 ] simplifiying candidate # 2.807 * * * * [progress]: [ 55 / 196 ] simplifiying candidate # 2.808 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 2.808 * * [simplify]: iters left: 6 (8 enodes) 2.810 * * [simplify]: iters left: 5 (26 enodes) 2.814 * * [simplify]: iters left: 4 (43 enodes) 2.821 * * [simplify]: iters left: 3 (59 enodes) 2.829 * * [simplify]: iters left: 2 (67 enodes) 2.838 * * [simplify]: iters left: 1 (69 enodes) 2.846 * * [simplify]: Extracting #0: cost 1 inf + 0 2.846 * * [simplify]: Extracting #1: cost 14 inf + 0 2.846 * * [simplify]: Extracting #2: cost 18 inf + 2 2.847 * * [simplify]: Extracting #3: cost 7 inf + 701 2.847 * * [simplify]: Extracting #4: cost 0 inf + 1234 2.847 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 2.847 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.847 * * * * [progress]: [ 56 / 196 ] simplifiying candidate # 2.847 * * * * [progress]: [ 57 / 196 ] simplifiying candidate # 2.847 * * * * [progress]: [ 58 / 196 ] simplifiying candidate # 2.847 * * * * [progress]: [ 59 / 196 ] simplifiying candidate # 2.848 * * * * [progress]: [ 60 / 196 ] simplifiying candidate # 2.848 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 2.848 * * [simplify]: iters left: 6 (8 enodes) 2.850 * * [simplify]: iters left: 5 (32 enodes) 2.856 * * [simplify]: iters left: 4 (48 enodes) 2.870 * * [simplify]: iters left: 3 (76 enodes) 2.895 * * [simplify]: iters left: 2 (81 enodes) 2.907 * * [simplify]: Extracting #0: cost 1 inf + 0 2.907 * * [simplify]: Extracting #1: cost 6 inf + 0 2.907 * * [simplify]: Extracting #2: cost 9 inf + 1 2.907 * * [simplify]: Extracting #3: cost 11 inf + 1 2.908 * * [simplify]: Extracting #4: cost 2 inf + 1052 2.908 * * [simplify]: Extracting #5: cost 0 inf + 1376 2.909 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 2.909 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.909 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 2.909 * * [simplify]: iters left: 4 (6 enodes) 2.913 * * [simplify]: iters left: 3 (20 enodes) 2.916 * * [simplify]: iters left: 2 (22 enodes) 2.919 * * [simplify]: Extracting #0: cost 1 inf + 0 2.919 * * [simplify]: Extracting #1: cost 4 inf + 0 2.919 * * [simplify]: Extracting #2: cost 5 inf + 1 2.919 * * [simplify]: Extracting #3: cost 7 inf + 1 2.919 * * [simplify]: Extracting #4: cost 1 inf + 488 2.919 * * [simplify]: Extracting #5: cost 0 inf + 650 2.920 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 2.920 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.920 * * * * [progress]: [ 61 / 196 ] simplifiying candidate # 2.920 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 2.920 * * [simplify]: iters left: 6 (8 enodes) 2.923 * * [simplify]: iters left: 5 (29 enodes) 2.927 * * [simplify]: iters left: 4 (31 enodes) 2.931 * * [simplify]: Extracting #0: cost 1 inf + 0 2.931 * * [simplify]: Extracting #1: cost 4 inf + 0 2.931 * * [simplify]: Extracting #2: cost 6 inf + 1 2.931 * * [simplify]: Extracting #3: cost 9 inf + 1 2.932 * * [simplify]: Extracting #4: cost 8 inf + 2 2.932 * * [simplify]: Extracting #5: cost 2 inf + 729 2.932 * * [simplify]: Extracting #6: cost 0 inf + 972 2.932 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 2.932 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.932 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 2.932 * * [simplify]: iters left: 4 (6 enodes) 2.934 * * [simplify]: iters left: 3 (20 enodes) 2.938 * * [simplify]: iters left: 2 (22 enodes) 2.944 * * [simplify]: Extracting #0: cost 1 inf + 0 2.944 * * [simplify]: Extracting #1: cost 4 inf + 0 2.944 * * [simplify]: Extracting #2: cost 5 inf + 1 2.944 * * [simplify]: Extracting #3: cost 7 inf + 1 2.944 * * [simplify]: Extracting #4: cost 1 inf + 568 2.944 * * [simplify]: Extracting #5: cost 0 inf + 730 2.945 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 2.945 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.945 * * * * [progress]: [ 62 / 196 ] simplifiying candidate # 2.945 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 2.946 * * [simplify]: iters left: 5 (7 enodes) 2.950 * * [simplify]: iters left: 4 (25 enodes) 2.955 * * [simplify]: iters left: 3 (27 enodes) 2.959 * * [simplify]: Extracting #0: cost 1 inf + 0 2.959 * * [simplify]: Extracting #1: cost 4 inf + 0 2.959 * * [simplify]: Extracting #2: cost 5 inf + 1 2.959 * * [simplify]: Extracting #3: cost 7 inf + 1 2.959 * * [simplify]: Extracting #4: cost 6 inf + 2 2.959 * * [simplify]: Extracting #5: cost 2 inf + 368 2.959 * * [simplify]: Extracting #6: cost 0 inf + 490 2.959 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 2.959 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.960 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 2.960 * * [simplify]: iters left: 4 (6 enodes) 2.962 * * [simplify]: iters left: 3 (20 enodes) 2.965 * * [simplify]: iters left: 2 (22 enodes) 2.968 * * [simplify]: Extracting #0: cost 1 inf + 0 2.968 * * [simplify]: Extracting #1: cost 4 inf + 0 2.968 * * [simplify]: Extracting #2: cost 5 inf + 1 2.968 * * [simplify]: Extracting #3: cost 7 inf + 1 2.968 * * [simplify]: Extracting #4: cost 1 inf + 368 2.968 * * [simplify]: Extracting #5: cost 0 inf + 490 2.968 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 2.968 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.968 * * * * [progress]: [ 63 / 196 ] simplifiying candidate # 2.968 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 2.968 * * [simplify]: iters left: 5 (5 enodes) 2.974 * * [simplify]: iters left: 4 (19 enodes) 2.976 * * [simplify]: iters left: 3 (21 enodes) 2.981 * * [simplify]: Extracting #0: cost 1 inf + 0 2.981 * * [simplify]: Extracting #1: cost 0 inf + 1 2.981 * [simplify]: Simplified to 1 2.981 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.982 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 2.982 * * [simplify]: iters left: 3 (5 enodes) 2.986 * * [simplify]: iters left: 2 (17 enodes) 2.991 * * [simplify]: iters left: 1 (19 enodes) 2.996 * * [simplify]: Extracting #0: cost 1 inf + 0 2.996 * * [simplify]: Extracting #1: cost 4 inf + 0 2.996 * * [simplify]: Extracting #2: cost 5 inf + 1 2.996 * * [simplify]: Extracting #3: cost 0 inf + 248 2.997 * [simplify]: Simplified to (/ 1 (sqrt k)) 2.997 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 2.997 * * * * [progress]: [ 64 / 196 ] simplifiying candidate # 2.997 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 2.997 * * [simplify]: iters left: 5 (7 enodes) 3.002 * * [simplify]: iters left: 4 (25 enodes) 3.009 * * [simplify]: iters left: 3 (27 enodes) 3.013 * * [simplify]: Extracting #0: cost 1 inf + 0 3.013 * * [simplify]: Extracting #1: cost 4 inf + 0 3.013 * * [simplify]: Extracting #2: cost 5 inf + 1 3.013 * * [simplify]: Extracting #3: cost 7 inf + 1 3.013 * * [simplify]: Extracting #4: cost 6 inf + 2 3.013 * * [simplify]: Extracting #5: cost 2 inf + 368 3.013 * * [simplify]: Extracting #6: cost 0 inf + 490 3.013 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.013 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.014 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 3.014 * * [simplify]: iters left: 4 (6 enodes) 3.016 * * [simplify]: iters left: 3 (20 enodes) 3.019 * * [simplify]: iters left: 2 (22 enodes) 3.022 * * [simplify]: Extracting #0: cost 1 inf + 0 3.022 * * [simplify]: Extracting #1: cost 4 inf + 0 3.022 * * [simplify]: Extracting #2: cost 5 inf + 1 3.022 * * [simplify]: Extracting #3: cost 7 inf + 1 3.023 * * [simplify]: Extracting #4: cost 1 inf + 368 3.023 * * [simplify]: Extracting #5: cost 0 inf + 490 3.023 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.023 * * * * [progress]: [ 65 / 196 ] simplifiying candidate # 3.023 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 3.023 * * [simplify]: iters left: 5 (4 enodes) 3.027 * * [simplify]: iters left: 4 (14 enodes) 3.029 * * [simplify]: iters left: 3 (16 enodes) 3.031 * * [simplify]: Extracting #0: cost 1 inf + 0 3.031 * * [simplify]: Extracting #1: cost 0 inf + 1 3.031 * [simplify]: Simplified to 1 3.031 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.032 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 3.032 * * [simplify]: iters left: 3 (5 enodes) 3.034 * * [simplify]: iters left: 2 (17 enodes) 3.037 * * [simplify]: iters left: 1 (19 enodes) 3.039 * * [simplify]: Extracting #0: cost 1 inf + 0 3.039 * * [simplify]: Extracting #1: cost 4 inf + 0 3.039 * * [simplify]: Extracting #2: cost 5 inf + 1 3.039 * * [simplify]: Extracting #3: cost 0 inf + 248 3.040 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.040 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.040 * * * * [progress]: [ 66 / 196 ] simplifiying candidate # 3.040 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.040 * * [simplify]: iters left: 6 (7 enodes) 3.042 * * [simplify]: iters left: 5 (25 enodes) 3.048 * * [simplify]: iters left: 4 (32 enodes) 3.057 * * [simplify]: iters left: 3 (34 enodes) 3.066 * * [simplify]: Extracting #0: cost 1 inf + 0 3.066 * * [simplify]: Extracting #1: cost 7 inf + 0 3.066 * * [simplify]: Extracting #2: cost 11 inf + 1 3.066 * * [simplify]: Extracting #3: cost 13 inf + 1 3.066 * * [simplify]: Extracting #4: cost 10 inf + 84 3.066 * * [simplify]: Extracting #5: cost 4 inf + 1014 3.067 * * [simplify]: Extracting #6: cost 1 inf + 1498 3.067 * * [simplify]: Extracting #7: cost 0 inf + 1700 3.068 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 3.068 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.068 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 3.068 * * [simplify]: iters left: 4 (6 enodes) 3.072 * * [simplify]: iters left: 3 (20 enodes) 3.078 * * [simplify]: iters left: 2 (22 enodes) 3.084 * * [simplify]: Extracting #0: cost 1 inf + 0 3.084 * * [simplify]: Extracting #1: cost 4 inf + 0 3.084 * * [simplify]: Extracting #2: cost 5 inf + 1 3.084 * * [simplify]: Extracting #3: cost 7 inf + 1 3.085 * * [simplify]: Extracting #4: cost 1 inf + 488 3.085 * * [simplify]: Extracting #5: cost 0 inf + 650 3.085 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.085 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.085 * * * * [progress]: [ 67 / 196 ] simplifiying candidate # 3.085 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 3.086 * * [simplify]: iters left: 6 (7 enodes) 3.090 * * [simplify]: iters left: 5 (24 enodes) 3.096 * * [simplify]: iters left: 4 (26 enodes) 3.104 * * [simplify]: Extracting #0: cost 1 inf + 0 3.104 * * [simplify]: Extracting #1: cost 4 inf + 0 3.104 * * [simplify]: Extracting #2: cost 6 inf + 1 3.104 * * [simplify]: Extracting #3: cost 9 inf + 1 3.104 * * [simplify]: Extracting #4: cost 8 inf + 2 3.104 * * [simplify]: Extracting #5: cost 2 inf + 730 3.104 * * [simplify]: Extracting #6: cost 0 inf + 972 3.105 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.105 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.105 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 3.105 * * [simplify]: iters left: 4 (6 enodes) 3.112 * * [simplify]: iters left: 3 (20 enodes) 3.118 * * [simplify]: iters left: 2 (22 enodes) 3.124 * * [simplify]: Extracting #0: cost 1 inf + 0 3.124 * * [simplify]: Extracting #1: cost 4 inf + 0 3.125 * * [simplify]: Extracting #2: cost 5 inf + 1 3.125 * * [simplify]: Extracting #3: cost 7 inf + 1 3.125 * * [simplify]: Extracting #4: cost 1 inf + 568 3.125 * * [simplify]: Extracting #5: cost 0 inf + 730 3.125 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.125 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.125 * * * * [progress]: [ 68 / 196 ] simplifiying candidate # 3.126 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.126 * * [simplify]: iters left: 4 (6 enodes) 3.130 * * [simplify]: iters left: 3 (20 enodes) 3.135 * * [simplify]: iters left: 2 (22 enodes) 3.141 * * [simplify]: Extracting #0: cost 1 inf + 0 3.141 * * [simplify]: Extracting #1: cost 4 inf + 0 3.141 * * [simplify]: Extracting #2: cost 5 inf + 1 3.141 * * [simplify]: Extracting #3: cost 7 inf + 1 3.142 * * [simplify]: Extracting #4: cost 1 inf + 368 3.142 * * [simplify]: Extracting #5: cost 0 inf + 490 3.142 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.142 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.142 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.143 * * [simplify]: iters left: 4 (6 enodes) 3.147 * * [simplify]: iters left: 3 (20 enodes) 3.152 * * [simplify]: iters left: 2 (22 enodes) 3.159 * * [simplify]: Extracting #0: cost 1 inf + 0 3.159 * * [simplify]: Extracting #1: cost 4 inf + 0 3.159 * * [simplify]: Extracting #2: cost 5 inf + 1 3.159 * * [simplify]: Extracting #3: cost 7 inf + 1 3.159 * * [simplify]: Extracting #4: cost 1 inf + 368 3.159 * * [simplify]: Extracting #5: cost 0 inf + 490 3.159 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.159 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.160 * * * * [progress]: [ 69 / 196 ] simplifiying candidate # 3.160 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 3.160 * * [simplify]: iters left: 3 (3 enodes) 3.163 * * [simplify]: iters left: 2 (9 enodes) 3.166 * * [simplify]: iters left: 1 (11 enodes) 3.169 * * [simplify]: Extracting #0: cost 1 inf + 0 3.169 * * [simplify]: Extracting #1: cost 0 inf + 1 3.169 * [simplify]: Simplified to 1 3.169 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.169 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 3.169 * * [simplify]: iters left: 3 (5 enodes) 3.174 * * [simplify]: iters left: 2 (17 enodes) 3.179 * * [simplify]: iters left: 1 (19 enodes) 3.184 * * [simplify]: Extracting #0: cost 1 inf + 0 3.184 * * [simplify]: Extracting #1: cost 4 inf + 0 3.185 * * [simplify]: Extracting #2: cost 5 inf + 1 3.185 * * [simplify]: Extracting #3: cost 0 inf + 248 3.185 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.185 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.185 * * * * [progress]: [ 70 / 196 ] simplifiying candidate # 3.185 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.185 * * [simplify]: iters left: 4 (6 enodes) 3.189 * * [simplify]: iters left: 3 (20 enodes) 3.195 * * [simplify]: iters left: 2 (22 enodes) 3.201 * * [simplify]: Extracting #0: cost 1 inf + 0 3.201 * * [simplify]: Extracting #1: cost 4 inf + 0 3.201 * * [simplify]: Extracting #2: cost 5 inf + 1 3.201 * * [simplify]: Extracting #3: cost 7 inf + 1 3.201 * * [simplify]: Extracting #4: cost 1 inf + 368 3.202 * * [simplify]: Extracting #5: cost 0 inf + 490 3.202 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.202 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.202 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 3.202 * * [simplify]: iters left: 4 (6 enodes) 3.205 * * [simplify]: iters left: 3 (20 enodes) 3.208 * * [simplify]: iters left: 2 (22 enodes) 3.211 * * [simplify]: Extracting #0: cost 1 inf + 0 3.211 * * [simplify]: Extracting #1: cost 4 inf + 0 3.212 * * [simplify]: Extracting #2: cost 5 inf + 1 3.212 * * [simplify]: Extracting #3: cost 7 inf + 1 3.212 * * [simplify]: Extracting #4: cost 1 inf + 368 3.212 * * [simplify]: Extracting #5: cost 0 inf + 490 3.212 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.212 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.212 * * * * [progress]: [ 71 / 196 ] simplifiying candidate # 3.212 * [simplify]: Simplifying (/ (sqrt 1) 1) 3.212 * * [simplify]: iters left: 3 (3 enodes) 3.214 * * [simplify]: iters left: 2 (9 enodes) 3.216 * * [simplify]: iters left: 1 (11 enodes) 3.217 * * [simplify]: Extracting #0: cost 1 inf + 0 3.217 * * [simplify]: Extracting #1: cost 0 inf + 1 3.217 * [simplify]: Simplified to 1 3.217 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.218 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 3.218 * * [simplify]: iters left: 3 (5 enodes) 3.220 * * [simplify]: iters left: 2 (17 enodes) 3.223 * * [simplify]: iters left: 1 (19 enodes) 3.225 * * [simplify]: Extracting #0: cost 1 inf + 0 3.226 * * [simplify]: Extracting #1: cost 4 inf + 0 3.226 * * [simplify]: Extracting #2: cost 5 inf + 1 3.226 * * [simplify]: Extracting #3: cost 0 inf + 248 3.226 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.226 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.226 * * * * [progress]: [ 72 / 196 ] simplifiying candidate # 3.226 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.226 * * [simplify]: iters left: 6 (6 enodes) 3.228 * * [simplify]: iters left: 5 (22 enodes) 3.231 * * [simplify]: iters left: 4 (26 enodes) 3.238 * * [simplify]: Extracting #0: cost 1 inf + 0 3.238 * * [simplify]: Extracting #1: cost 6 inf + 0 3.238 * * [simplify]: Extracting #2: cost 9 inf + 1 3.238 * * [simplify]: Extracting #3: cost 11 inf + 1 3.239 * * [simplify]: Extracting #4: cost 8 inf + 84 3.239 * * [simplify]: Extracting #5: cost 2 inf + 1013 3.239 * * [simplify]: Extracting #6: cost 0 inf + 1376 3.240 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 3.240 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.240 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 3.240 * * [simplify]: iters left: 4 (5 enodes) 3.243 * * [simplify]: iters left: 3 (17 enodes) 3.251 * * [simplify]: iters left: 2 (19 enodes) 3.257 * * [simplify]: Extracting #0: cost 1 inf + 0 3.257 * * [simplify]: Extracting #1: cost 4 inf + 0 3.257 * * [simplify]: Extracting #2: cost 5 inf + 1 3.257 * * [simplify]: Extracting #3: cost 7 inf + 1 3.257 * * [simplify]: Extracting #4: cost 0 inf + 650 3.258 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 3.258 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.258 * * * * [progress]: [ 73 / 196 ] simplifiying candidate # 3.258 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 3.258 * * [simplify]: iters left: 6 (6 enodes) 3.262 * * [simplify]: iters left: 5 (21 enodes) 3.268 * * [simplify]: iters left: 4 (23 enodes) 3.274 * * [simplify]: Extracting #0: cost 1 inf + 0 3.274 * * [simplify]: Extracting #1: cost 4 inf + 0 3.275 * * [simplify]: Extracting #2: cost 6 inf + 1 3.275 * * [simplify]: Extracting #3: cost 9 inf + 1 3.275 * * [simplify]: Extracting #4: cost 8 inf + 2 3.275 * * [simplify]: Extracting #5: cost 1 inf + 810 3.275 * * [simplify]: Extracting #6: cost 0 inf + 972 3.275 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 3.275 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.276 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 3.276 * * [simplify]: iters left: 4 (5 enodes) 3.279 * * [simplify]: iters left: 3 (17 enodes) 3.285 * * [simplify]: iters left: 2 (19 enodes) 3.291 * * [simplify]: Extracting #0: cost 1 inf + 0 3.291 * * [simplify]: Extracting #1: cost 4 inf + 0 3.291 * * [simplify]: Extracting #2: cost 5 inf + 1 3.291 * * [simplify]: Extracting #3: cost 7 inf + 1 3.291 * * [simplify]: Extracting #4: cost 0 inf + 730 3.291 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 3.291 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.291 * * * * [progress]: [ 74 / 196 ] simplifiying candidate # 3.292 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.292 * * [simplify]: iters left: 4 (5 enodes) 3.294 * * [simplify]: iters left: 3 (17 enodes) 3.300 * * [simplify]: iters left: 2 (19 enodes) 3.306 * * [simplify]: Extracting #0: cost 1 inf + 0 3.306 * * [simplify]: Extracting #1: cost 4 inf + 0 3.306 * * [simplify]: Extracting #2: cost 5 inf + 1 3.306 * * [simplify]: Extracting #3: cost 7 inf + 1 3.306 * * [simplify]: Extracting #4: cost 0 inf + 490 3.307 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.307 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.307 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.307 * * [simplify]: iters left: 4 (5 enodes) 3.310 * * [simplify]: iters left: 3 (17 enodes) 3.315 * * [simplify]: iters left: 2 (19 enodes) 3.321 * * [simplify]: Extracting #0: cost 1 inf + 0 3.321 * * [simplify]: Extracting #1: cost 4 inf + 0 3.321 * * [simplify]: Extracting #2: cost 5 inf + 1 3.321 * * [simplify]: Extracting #3: cost 7 inf + 1 3.321 * * [simplify]: Extracting #4: cost 0 inf + 490 3.322 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.322 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.322 * * * * [progress]: [ 75 / 196 ] simplifiying candidate # 3.322 * [simplify]: Simplifying (/ 1 (sqrt 1)) 3.322 * * [simplify]: iters left: 3 (3 enodes) 3.328 * * [simplify]: iters left: 2 (11 enodes) 3.331 * * [simplify]: iters left: 1 (13 enodes) 3.334 * * [simplify]: Extracting #0: cost 1 inf + 0 3.334 * * [simplify]: Extracting #1: cost 0 inf + 1 3.334 * [simplify]: Simplified to 1 3.334 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.335 * [simplify]: Simplifying (/ 1 (sqrt k)) 3.335 * * [simplify]: iters left: 3 (4 enodes) 3.337 * * [simplify]: iters left: 2 (14 enodes) 3.342 * * [simplify]: iters left: 1 (16 enodes) 3.347 * * [simplify]: Extracting #0: cost 1 inf + 0 3.347 * * [simplify]: Extracting #1: cost 4 inf + 0 3.347 * * [simplify]: Extracting #2: cost 5 inf + 1 3.347 * * [simplify]: Extracting #3: cost 3 inf + 43 3.347 * * [simplify]: Extracting #4: cost 1 inf + 166 3.347 * * [simplify]: Extracting #5: cost 0 inf + 248 3.348 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.348 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.348 * * * * [progress]: [ 76 / 196 ] simplifiying candidate # 3.348 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.348 * * [simplify]: iters left: 4 (5 enodes) 3.351 * * [simplify]: iters left: 3 (17 enodes) 3.356 * * [simplify]: iters left: 2 (19 enodes) 3.362 * * [simplify]: Extracting #0: cost 1 inf + 0 3.362 * * [simplify]: Extracting #1: cost 4 inf + 0 3.362 * * [simplify]: Extracting #2: cost 5 inf + 1 3.362 * * [simplify]: Extracting #3: cost 7 inf + 1 3.362 * * [simplify]: Extracting #4: cost 0 inf + 490 3.362 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.363 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.363 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 3.363 * * [simplify]: iters left: 4 (5 enodes) 3.366 * * [simplify]: iters left: 3 (17 enodes) 3.370 * * [simplify]: iters left: 2 (19 enodes) 3.373 * * [simplify]: Extracting #0: cost 1 inf + 0 3.373 * * [simplify]: Extracting #1: cost 4 inf + 0 3.373 * * [simplify]: Extracting #2: cost 5 inf + 1 3.373 * * [simplify]: Extracting #3: cost 7 inf + 1 3.374 * * [simplify]: Extracting #4: cost 0 inf + 490 3.374 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 3.374 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.374 * * * * [progress]: [ 77 / 196 ] simplifiying candidate # 3.374 * [simplify]: Simplifying (/ 1 1) 3.374 * * [simplify]: iters left: 2 (2 enodes) 3.375 * * [simplify]: iters left: 1 (6 enodes) 3.376 * * [simplify]: Extracting #0: cost 1 inf + 0 3.376 * * [simplify]: Extracting #1: cost 0 inf + 1 3.376 * [simplify]: Simplified to 1 3.376 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.376 * [simplify]: Simplifying (/ 1 (sqrt k)) 3.376 * * [simplify]: iters left: 3 (4 enodes) 3.377 * * [simplify]: iters left: 2 (14 enodes) 3.380 * * [simplify]: iters left: 1 (16 enodes) 3.383 * * [simplify]: Extracting #0: cost 1 inf + 0 3.383 * * [simplify]: Extracting #1: cost 4 inf + 0 3.383 * * [simplify]: Extracting #2: cost 5 inf + 1 3.383 * * [simplify]: Extracting #3: cost 3 inf + 43 3.383 * * [simplify]: Extracting #4: cost 1 inf + 166 3.383 * * [simplify]: Extracting #5: cost 0 inf + 248 3.383 * [simplify]: Simplified to (/ 1 (sqrt k)) 3.383 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.383 * * * * [progress]: [ 78 / 196 ] simplifiying candidate # 3.383 * * * * [progress]: [ 79 / 196 ] simplifiying candidate # 3.383 * * * * [progress]: [ 80 / 196 ] simplifiying candidate # 3.383 * * * * [progress]: [ 81 / 196 ] simplifiying candidate # 3.384 * [simplify]: Simplifying (cbrt (sqrt k)) 3.384 * * [simplify]: iters left: 2 (3 enodes) 3.384 * * [simplify]: iters left: 1 (9 enodes) 3.385 * * [simplify]: Extracting #0: cost 1 inf + 0 3.385 * * [simplify]: Extracting #1: cost 3 inf + 0 3.385 * * [simplify]: Extracting #2: cost 5 inf + 0 3.386 * * [simplify]: Extracting #3: cost 4 inf + 1 3.386 * * [simplify]: Extracting #4: cost 0 inf + 325 3.386 * [simplify]: Simplified to (cbrt (sqrt k)) 3.386 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.386 * * * * [progress]: [ 82 / 196 ] simplifiying candidate # 3.386 * [simplify]: Simplifying (sqrt (cbrt k)) 3.386 * * [simplify]: iters left: 2 (3 enodes) 3.387 * * [simplify]: iters left: 1 (9 enodes) 3.388 * * [simplify]: Extracting #0: cost 1 inf + 0 3.388 * * [simplify]: Extracting #1: cost 3 inf + 0 3.388 * * [simplify]: Extracting #2: cost 5 inf + 0 3.388 * * [simplify]: Extracting #3: cost 4 inf + 1 3.388 * * [simplify]: Extracting #4: cost 0 inf + 405 3.388 * [simplify]: Simplified to (sqrt (cbrt k)) 3.388 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.388 * * * * [progress]: [ 83 / 196 ] simplifiying candidate # 3.388 * [simplify]: Simplifying (sqrt (sqrt k)) 3.388 * * [simplify]: iters left: 2 (3 enodes) 3.389 * * [simplify]: iters left: 1 (9 enodes) 3.390 * * [simplify]: Extracting #0: cost 1 inf + 0 3.390 * * [simplify]: Extracting #1: cost 3 inf + 0 3.390 * * [simplify]: Extracting #2: cost 5 inf + 0 3.390 * * [simplify]: Extracting #3: cost 4 inf + 1 3.390 * * [simplify]: Extracting #4: cost 0 inf + 245 3.390 * [simplify]: Simplified to (sqrt (sqrt k)) 3.390 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.390 * * * * [progress]: [ 84 / 196 ] simplifiying candidate # 3.391 * [simplify]: Simplifying (sqrt k) 3.391 * * [simplify]: iters left: 1 (2 enodes) 3.391 * * [simplify]: Extracting #0: cost 1 inf + 0 3.391 * * [simplify]: Extracting #1: cost 3 inf + 0 3.391 * * [simplify]: Extracting #2: cost 2 inf + 1 3.391 * * [simplify]: Extracting #3: cost 0 inf + 83 3.391 * [simplify]: Simplified to (sqrt k) 3.391 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.391 * * * * [progress]: [ 85 / 196 ] simplifiying candidate # 3.391 * [simplify]: Simplifying (sqrt (sqrt k)) 3.391 * * [simplify]: iters left: 2 (3 enodes) 3.392 * * [simplify]: iters left: 1 (9 enodes) 3.393 * * [simplify]: Extracting #0: cost 1 inf + 0 3.393 * * [simplify]: Extracting #1: cost 3 inf + 0 3.393 * * [simplify]: Extracting #2: cost 5 inf + 0 3.393 * * [simplify]: Extracting #3: cost 4 inf + 1 3.393 * * [simplify]: Extracting #4: cost 0 inf + 245 3.393 * [simplify]: Simplified to (sqrt (sqrt k)) 3.395 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.395 * * * * [progress]: [ 86 / 196 ] simplifiying candidate # 3.396 * [simplify]: Simplifying (sqrt k) 3.396 * * [simplify]: iters left: 1 (2 enodes) 3.396 * * [simplify]: Extracting #0: cost 1 inf + 0 3.396 * * [simplify]: Extracting #1: cost 3 inf + 0 3.396 * * [simplify]: Extracting #2: cost 2 inf + 1 3.396 * * [simplify]: Extracting #3: cost 0 inf + 83 3.396 * [simplify]: Simplified to (sqrt k) 3.396 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.396 * * * * [progress]: [ 87 / 196 ] simplifiying candidate # 3.396 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 3.396 * * [simplify]: iters left: 3 (3 enodes) 3.401 * * [simplify]: iters left: 2 (11 enodes) 3.404 * * [simplify]: iters left: 1 (13 enodes) 3.407 * * [simplify]: Extracting #0: cost 1 inf + 0 3.407 * * [simplify]: Extracting #1: cost 0 inf + 1 3.407 * [simplify]: Simplified to 1 3.407 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.407 * * * * [progress]: [ 88 / 196 ] simplifiying candidate # 3.408 * [simplify]: Simplifying (sqrt 1) 3.408 * * [simplify]: iters left: 1 (2 enodes) 3.410 * * [simplify]: Extracting #0: cost 1 inf + 0 3.410 * * [simplify]: Extracting #1: cost 0 inf + 1 3.410 * [simplify]: Simplified to 1 3.411 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 3.411 * * * * [progress]: [ 89 / 196 ] simplifiying candidate # 3.411 * * * * [progress]: [ 90 / 196 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> 3.411 * * * * [progress]: [ 91 / 196 ] simplifiying candidate # 3.411 * * * * [progress]: [ 92 / 196 ] simplifiying candidate # 3.411 * * * * [progress]: [ 93 / 196 ] simplifiying candidate # 3.411 * [simplify]: Simplifying (* (* 2 PI) n) 3.411 * * [simplify]: iters left: 4 (5 enodes) 3.414 * * [simplify]: iters left: 3 (19 enodes) 3.420 * * [simplify]: iters left: 2 (27 enodes) 3.428 * * [simplify]: iters left: 1 (32 enodes) 3.437 * * [simplify]: Extracting #0: cost 1 inf + 0 3.437 * * [simplify]: Extracting #1: cost 8 inf + 0 3.437 * * [simplify]: Extracting #2: cost 7 inf + 45 3.437 * * [simplify]: Extracting #3: cost 0 inf + 421 3.437 * [simplify]: Simplified to (* (* 2 PI) n) 3.437 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.438 * * * * [progress]: [ 94 / 196 ] simplifiying candidate # 3.438 * [simplify]: Simplifying (* (* 2 PI) n) 3.438 * * [simplify]: iters left: 4 (5 enodes) 3.441 * * [simplify]: iters left: 3 (19 enodes) 3.447 * * [simplify]: iters left: 2 (27 enodes) 3.455 * * [simplify]: iters left: 1 (32 enodes) 3.463 * * [simplify]: Extracting #0: cost 1 inf + 0 3.463 * * [simplify]: Extracting #1: cost 8 inf + 0 3.463 * * [simplify]: Extracting #2: cost 7 inf + 45 3.464 * * [simplify]: Extracting #3: cost 0 inf + 421 3.464 * [simplify]: Simplified to (* (* 2 PI) n) 3.464 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 3.464 * * * * [progress]: [ 95 / 196 ] simplifiying candidate # 3.464 * * * * [progress]: [ 96 / 196 ] simplifiying candidate # 3.465 * [simplify]: Simplifying (+ (+ (log 2) (log PI)) (log n)) 3.465 * * [simplify]: iters left: 5 (8 enodes) 3.469 * * [simplify]: iters left: 4 (28 enodes) 3.478 * * [simplify]: iters left: 3 (36 enodes) 3.489 * * [simplify]: iters left: 2 (42 enodes) 3.501 * * [simplify]: Extracting #0: cost 1 inf + 0 3.501 * * [simplify]: Extracting #1: cost 8 inf + 0 3.501 * * [simplify]: Extracting #2: cost 17 inf + 0 3.501 * * [simplify]: Extracting #3: cost 13 inf + 74 3.501 * * [simplify]: Extracting #4: cost 6 inf + 1015 3.502 * * [simplify]: Extracting #5: cost 0 inf + 2107 3.502 * [simplify]: Simplified to (+ (log 2) (+ (log PI) (log n))) 3.502 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log 2) (+ (log PI) (log n)))) (/ (- 1 k) 2)))) 3.503 * * * * [progress]: [ 97 / 196 ] simplifiying candidate # 3.503 * [simplify]: Simplifying (+ (log (* 2 PI)) (log n)) 3.503 * * [simplify]: iters left: 5 (7 enodes) 3.507 * * [simplify]: iters left: 4 (26 enodes) 3.515 * * [simplify]: iters left: 3 (35 enodes) 3.521 * * [simplify]: iters left: 2 (44 enodes) 3.527 * * [simplify]: Extracting #0: cost 1 inf + 0 3.527 * * [simplify]: Extracting #1: cost 8 inf + 0 3.528 * * [simplify]: Extracting #2: cost 18 inf + 0 3.528 * * [simplify]: Extracting #3: cost 15 inf + 74 3.528 * * [simplify]: Extracting #4: cost 6 inf + 918 3.528 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.528 * [simplify]: Simplified to (+ (log (* 2 PI)) (log n)) 3.528 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2)))) 3.528 * * * * [progress]: [ 98 / 196 ] simplifiying candidate # 3.529 * * * * [progress]: [ 99 / 196 ] simplifiying candidate # 3.529 * * * * [progress]: [ 100 / 196 ] simplifiying candidate # 3.529 * [simplify]: Simplifying (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n)) 3.529 * * [simplify]: iters left: 6 (11 enodes) 3.532 * * [simplify]: iters left: 5 (47 enodes) 3.546 * * [simplify]: iters left: 4 (115 enodes) 3.594 * * [simplify]: iters left: 3 (384 enodes) 3.891 * * [simplify]: Extracting #0: cost 1 inf + 0 3.891 * * [simplify]: Extracting #1: cost 102 inf + 0 3.893 * * [simplify]: Extracting #2: cost 263 inf + 1026 3.898 * * [simplify]: Extracting #3: cost 88 inf + 24284 3.911 * * [simplify]: Extracting #4: cost 2 inf + 40704 3.921 * * [simplify]: Extracting #5: cost 0 inf + 41008 3.940 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.940 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)))) 3.940 * * * * [progress]: [ 101 / 196 ] simplifiying candidate # 3.941 * [simplify]: Simplifying (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n)) 3.941 * * [simplify]: iters left: 6 (9 enodes) 3.947 * * [simplify]: iters left: 5 (45 enodes) 3.965 * * [simplify]: iters left: 4 (116 enodes) 4.029 * * [simplify]: iters left: 3 (371 enodes) 4.344 * * [simplify]: Extracting #0: cost 1 inf + 0 4.345 * * [simplify]: Extracting #1: cost 82 inf + 0 4.346 * * [simplify]: Extracting #2: cost 200 inf + 498 4.353 * * [simplify]: Extracting #3: cost 121 inf + 10421 4.371 * * [simplify]: Extracting #4: cost 5 inf + 33505 4.387 * * [simplify]: Extracting #5: cost 0 inf + 33849 4.397 * * [simplify]: Extracting #6: cost 0 inf + 33809 4.406 * [simplify]: Simplified to (* (* n PI) (* 8 (* (* n PI) (* n PI)))) 4.407 * [simplify]: Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* n PI) (* 8 (* (* n PI) (* n PI))))) (/ (- 1 k) 2)))) 4.407 * * * * [progress]: [ 102 / 196 ] simplifiying candidate # 4.407 * * * * [progress]: [ 103 / 196 ] simplifiying candidate # 4.407 * * * * [progress]: [ 104 / 196 ] simplifiying candidate # 4.407 * * * * [progress]: [ 105 / 196 ] simplifiying candidate # 4.407 * * * * [progress]: [ 106 / 196 ] simplifiying candidate # 4.407 * [simplify]: Simplifying (cbrt n) 4.407 * * [simplify]: iters left: 1 (2 enodes) 4.408 * * [simplify]: Extracting #0: cost 1 inf + 0 4.408 * * [simplify]: Extracting #1: cost 3 inf + 0 4.408 * * [simplify]: Extracting #2: cost 2 inf + 1 4.408 * * [simplify]: Extracting #3: cost 0 inf + 163 4.408 * [simplify]: Simplified to (cbrt n) 4.408 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2)))) 4.408 * * * * [progress]: [ 107 / 196 ] simplifiying candidate # 4.408 * [simplify]: Simplifying (sqrt n) 4.408 * * [simplify]: iters left: 1 (2 enodes) 4.408 * * [simplify]: Extracting #0: cost 1 inf + 0 4.408 * * [simplify]: Extracting #1: cost 3 inf + 0 4.409 * * [simplify]: Extracting #2: cost 2 inf + 1 4.409 * * [simplify]: Extracting #3: cost 0 inf + 83 4.409 * [simplify]: Simplified to (sqrt n) 4.409 * [simplify]: Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2)))) 4.409 * * * * [progress]: [ 108 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 109 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 110 / 196 ] simplifiying candidate #real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))> 4.409 * * * * [progress]: [ 111 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 112 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 113 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 114 / 196 ] simplifiying candidate # 4.409 * * * * [progress]: [ 115 / 196 ] simplifiying candidate # 4.409 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 4.409 * * [simplify]: iters left: 6 (17 enodes) 4.415 * * [simplify]: iters left: 5 (67 enodes) 4.437 * * [simplify]: iters left: 4 (113 enodes) 4.482 * * [simplify]: iters left: 3 (309 enodes) 4.620 * * [simplify]: Extracting #0: cost 1 inf + 0 4.620 * * [simplify]: Extracting #1: cost 34 inf + 0 4.621 * * [simplify]: Extracting #2: cost 93 inf + 0 4.622 * * [simplify]: Extracting #3: cost 135 inf + 492 4.625 * * [simplify]: Extracting #4: cost 122 inf + 7331 4.639 * * [simplify]: Extracting #5: cost 23 inf + 37008 4.658 * * [simplify]: Extracting #6: cost 0 inf + 45359 4.677 * * [simplify]: Extracting #7: cost 0 inf + 45224 4.686 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))) 4.687 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log 2) (log PI))) (* (+ (log n) (+ (log 2) (log PI))) k)) 2) (log (sqrt k))))) 4.687 * * * * [progress]: [ 116 / 196 ] simplifiying candidate # 4.687 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 4.687 * * [simplify]: iters left: 6 (16 enodes) 4.692 * * [simplify]: iters left: 5 (65 enodes) 4.705 * * [simplify]: iters left: 4 (106 enodes) 4.745 * * [simplify]: iters left: 3 (247 enodes) 4.829 * * [simplify]: Extracting #0: cost 1 inf + 0 4.829 * * [simplify]: Extracting #1: cost 29 inf + 0 4.829 * * [simplify]: Extracting #2: cost 82 inf + 0 4.830 * * [simplify]: Extracting #3: cost 121 inf + 188 4.831 * * [simplify]: Extracting #4: cost 111 inf + 4901 4.835 * * [simplify]: Extracting #5: cost 38 inf + 22772 4.842 * * [simplify]: Extracting #6: cost 0 inf + 35066 4.856 * * [simplify]: Extracting #7: cost 0 inf + 35064 4.871 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))) 4.871 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* k (+ (log n) (log (* 2 PI))))) 2) (log (sqrt k))))) 4.871 * * * * [progress]: [ 117 / 196 ] simplifiying candidate # 4.872 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 4.872 * * [simplify]: iters left: 6 (15 enodes) 4.878 * * [simplify]: iters left: 5 (64 enodes) 4.889 * * [simplify]: iters left: 4 (113 enodes) 4.911 * * [simplify]: iters left: 3 (229 enodes) 5.004 * * [simplify]: Extracting #0: cost 1 inf + 0 5.004 * * [simplify]: Extracting #1: cost 22 inf + 0 5.005 * * [simplify]: Extracting #2: cost 80 inf + 0 5.005 * * [simplify]: Extracting #3: cost 121 inf + 116 5.006 * * [simplify]: Extracting #4: cost 123 inf + 2401 5.009 * * [simplify]: Extracting #5: cost 62 inf + 13255 5.016 * * [simplify]: Extracting #6: cost 5 inf + 28800 5.023 * * [simplify]: Extracting #7: cost 0 inf + 29789 5.029 * * [simplify]: Extracting #8: cost 0 inf + 29774 5.036 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.036 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.036 * * * * [progress]: [ 118 / 196 ] simplifiying candidate # 5.037 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 5.039 * * [simplify]: iters left: 6 (15 enodes) 5.044 * * [simplify]: iters left: 5 (64 enodes) 5.062 * * [simplify]: iters left: 4 (113 enodes) 5.102 * * [simplify]: iters left: 3 (229 enodes) 5.193 * * [simplify]: Extracting #0: cost 1 inf + 0 5.193 * * [simplify]: Extracting #1: cost 22 inf + 0 5.194 * * [simplify]: Extracting #2: cost 80 inf + 0 5.195 * * [simplify]: Extracting #3: cost 121 inf + 116 5.196 * * [simplify]: Extracting #4: cost 123 inf + 2401 5.201 * * [simplify]: Extracting #5: cost 62 inf + 13255 5.213 * * [simplify]: Extracting #6: cost 5 inf + 28800 5.227 * * [simplify]: Extracting #7: cost 0 inf + 29789 5.238 * * [simplify]: Extracting #8: cost 0 inf + 29774 5.245 * [simplify]: Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))) 5.245 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k))))) 5.245 * * * * [progress]: [ 119 / 196 ] simplifiying candidate # 5.245 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 5.245 * * [simplify]: iters left: 6 (15 enodes) 5.250 * * [simplify]: iters left: 5 (63 enodes) 5.261 * * [simplify]: iters left: 4 (108 enodes) 5.288 * * [simplify]: iters left: 3 (217 enodes) 5.348 * * [simplify]: Extracting #0: cost 1 inf + 0 5.348 * * [simplify]: Extracting #1: cost 24 inf + 0 5.349 * * [simplify]: Extracting #2: cost 110 inf + 0 5.349 * * [simplify]: Extracting #3: cost 178 inf + 4 5.350 * * [simplify]: Extracting #4: cost 171 inf + 872 5.355 * * [simplify]: Extracting #5: cost 106 inf + 12808 5.361 * * [simplify]: Extracting #6: cost 17 inf + 34781 5.368 * * [simplify]: Extracting #7: cost 0 inf + 40386 5.382 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))) 5.383 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))))) 5.383 * * * * [progress]: [ 120 / 196 ] simplifiying candidate # 5.383 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 5.383 * * [simplify]: iters left: 6 (18 enodes) 5.394 * * [simplify]: iters left: 5 (73 enodes) 5.408 * * [simplify]: iters left: 4 (130 enodes) 5.455 * * [simplify]: iters left: 3 (393 enodes) 5.658 * * [simplify]: Extracting #0: cost 1 inf + 0 5.659 * * [simplify]: Extracting #1: cost 49 inf + 0 5.660 * * [simplify]: Extracting #2: cost 175 inf + 1 5.662 * * [simplify]: Extracting #3: cost 228 inf + 936 5.665 * * [simplify]: Extracting #4: cost 233 inf + 4167 5.676 * * [simplify]: Extracting #5: cost 124 inf + 33671 5.702 * * [simplify]: Extracting #6: cost 17 inf + 72418 5.735 * * [simplify]: Extracting #7: cost 0 inf + 79014 5.765 * * [simplify]: Extracting #8: cost 0 inf + 79009 5.781 * [simplify]: Simplified to (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))) 5.781 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (+ (log PI) (log 2))) (* k (+ (log n) (+ (log PI) (log 2))))) 2) (log (sqrt k))))) 5.781 * * * * [progress]: [ 121 / 196 ] simplifiying candidate # 5.782 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 5.782 * * [simplify]: iters left: 6 (17 enodes) 5.789 * * [simplify]: iters left: 5 (71 enodes) 5.813 * * [simplify]: iters left: 4 (123 enodes) 5.844 * * [simplify]: iters left: 3 (314 enodes) 6.026 * * [simplify]: Extracting #0: cost 1 inf + 0 6.026 * * [simplify]: Extracting #1: cost 39 inf + 0 6.027 * * [simplify]: Extracting #2: cost 151 inf + 1 6.029 * * [simplify]: Extracting #3: cost 206 inf + 351 6.033 * * [simplify]: Extracting #4: cost 180 inf + 10056 6.052 * * [simplify]: Extracting #5: cost 27 inf + 53428 6.083 * * [simplify]: Extracting #6: cost 0 inf + 61805 6.110 * * [simplify]: Extracting #7: cost 0 inf + 61801 6.130 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 6.130 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 6.130 * * * * [progress]: [ 122 / 196 ] simplifiying candidate # 6.130 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.130 * * [simplify]: iters left: 6 (16 enodes) 6.135 * * [simplify]: iters left: 5 (70 enodes) 6.148 * * [simplify]: iters left: 4 (130 enodes) 6.191 * * [simplify]: iters left: 3 (287 enodes) 6.303 * * [simplify]: Extracting #0: cost 1 inf + 0 6.303 * * [simplify]: Extracting #1: cost 30 inf + 0 6.304 * * [simplify]: Extracting #2: cost 130 inf + 1 6.305 * * [simplify]: Extracting #3: cost 188 inf + 308 6.308 * * [simplify]: Extracting #4: cost 173 inf + 5554 6.320 * * [simplify]: Extracting #5: cost 47 inf + 35357 6.330 * * [simplify]: Extracting #6: cost 1 inf + 47747 6.341 * * [simplify]: Extracting #7: cost 0 inf + 48021 6.354 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.354 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.354 * * * * [progress]: [ 123 / 196 ] simplifiying candidate # 6.355 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 6.355 * * [simplify]: iters left: 6 (16 enodes) 6.365 * * [simplify]: iters left: 5 (70 enodes) 6.394 * * [simplify]: iters left: 4 (130 enodes) 6.436 * * [simplify]: iters left: 3 (287 enodes) 6.564 * * [simplify]: Extracting #0: cost 1 inf + 0 6.564 * * [simplify]: Extracting #1: cost 30 inf + 0 6.564 * * [simplify]: Extracting #2: cost 130 inf + 1 6.565 * * [simplify]: Extracting #3: cost 188 inf + 308 6.566 * * [simplify]: Extracting #4: cost 173 inf + 5554 6.572 * * [simplify]: Extracting #5: cost 47 inf + 35357 6.594 * * [simplify]: Extracting #6: cost 1 inf + 47747 6.614 * * [simplify]: Extracting #7: cost 0 inf + 48021 6.635 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 6.635 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 6.635 * * * * [progress]: [ 124 / 196 ] simplifiying candidate # 6.635 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 6.635 * * [simplify]: iters left: 6 (16 enodes) 6.645 * * [simplify]: iters left: 5 (69 enodes) 6.659 * * [simplify]: iters left: 4 (125 enodes) 6.687 * * [simplify]: iters left: 3 (268 enodes) 6.789 * * [simplify]: Extracting #0: cost 1 inf + 0 6.789 * * [simplify]: Extracting #1: cost 35 inf + 0 6.790 * * [simplify]: Extracting #2: cost 171 inf + 1 6.795 * * [simplify]: Extracting #3: cost 255 inf + 5 6.796 * * [simplify]: Extracting #4: cost 221 inf + 4985 6.803 * * [simplify]: Extracting #5: cost 68 inf + 40619 6.814 * * [simplify]: Extracting #6: cost 2 inf + 62141 6.825 * * [simplify]: Extracting #7: cost 0 inf + 62792 6.850 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))) 6.850 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* 2 PI) n))) (log (sqrt k))))) 6.850 * * * * [progress]: [ 125 / 196 ] simplifiying candidate # 6.851 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 6.851 * * [simplify]: iters left: 6 (18 enodes) 6.861 * * [simplify]: iters left: 5 (74 enodes) 6.886 * * [simplify]: iters left: 4 (125 enodes) 6.930 * * [simplify]: iters left: 3 (358 enodes) 7.083 * * [simplify]: Extracting #0: cost 1 inf + 0 7.083 * * [simplify]: Extracting #1: cost 49 inf + 0 7.084 * * [simplify]: Extracting #2: cost 178 inf + 1 7.085 * * [simplify]: Extracting #3: cost 233 inf + 744 7.087 * * [simplify]: Extracting #4: cost 223 inf + 6446 7.092 * * [simplify]: Extracting #5: cost 129 inf + 31346 7.105 * * [simplify]: Extracting #6: cost 13 inf + 73037 7.128 * * [simplify]: Extracting #7: cost 0 inf + 78681 7.150 * * [simplify]: Extracting #8: cost 0 inf + 78676 7.168 * [simplify]: Simplified to (- (/ (- (+ (+ (log 2) (log n)) (log PI)) (* k (+ (+ (log 2) (log n)) (log PI)))) 2) (log (sqrt k))) 7.168 * [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))))) 7.169 * * * * [progress]: [ 126 / 196 ] simplifiying candidate # 7.169 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 7.169 * * [simplify]: iters left: 6 (17 enodes) 7.176 * * [simplify]: iters left: 5 (72 enodes) 7.192 * * [simplify]: iters left: 4 (118 enodes) 7.217 * * [simplify]: iters left: 3 (294 enodes) 7.346 * * [simplify]: Extracting #0: cost 1 inf + 0 7.347 * * [simplify]: Extracting #1: cost 42 inf + 0 7.347 * * [simplify]: Extracting #2: cost 151 inf + 1 7.348 * * [simplify]: Extracting #3: cost 203 inf + 602 7.350 * * [simplify]: Extracting #4: cost 191 inf + 6560 7.364 * * [simplify]: Extracting #5: cost 37 inf + 48248 7.382 * * [simplify]: Extracting #6: cost 0 inf + 60434 7.395 * * [simplify]: Extracting #7: cost 0 inf + 60429 7.407 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))) 7.407 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* PI 2))) (* k (+ (log n) (log (* PI 2))))) 2) (log (sqrt k))))) 7.407 * * * * [progress]: [ 127 / 196 ] simplifiying candidate # 7.407 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.407 * * [simplify]: iters left: 6 (16 enodes) 7.412 * * [simplify]: iters left: 5 (71 enodes) 7.427 * * [simplify]: iters left: 4 (125 enodes) 7.475 * * [simplify]: iters left: 3 (275 enodes) 7.593 * * [simplify]: Extracting #0: cost 1 inf + 0 7.593 * * [simplify]: Extracting #1: cost 31 inf + 0 7.594 * * [simplify]: Extracting #2: cost 131 inf + 1 7.595 * * [simplify]: Extracting #3: cost 186 inf + 612 7.598 * * [simplify]: Extracting #4: cost 177 inf + 4910 7.613 * * [simplify]: Extracting #5: cost 36 inf + 38212 7.633 * * [simplify]: Extracting #6: cost 0 inf + 47750 7.658 * * [simplify]: Extracting #7: cost 0 inf + 47743 7.678 * * [simplify]: Extracting #8: cost 0 inf + 47741 7.688 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 7.688 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 7.688 * * * * [progress]: [ 128 / 196 ] simplifiying candidate # 7.688 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 7.688 * * [simplify]: iters left: 6 (16 enodes) 7.693 * * [simplify]: iters left: 5 (71 enodes) 7.706 * * [simplify]: iters left: 4 (125 enodes) 7.737 * * [simplify]: iters left: 3 (275 enodes) 7.847 * * [simplify]: Extracting #0: cost 1 inf + 0 7.847 * * [simplify]: Extracting #1: cost 31 inf + 0 7.848 * * [simplify]: Extracting #2: cost 131 inf + 1 7.849 * * [simplify]: Extracting #3: cost 186 inf + 612 7.850 * * [simplify]: Extracting #4: cost 177 inf + 4910 7.857 * * [simplify]: Extracting #5: cost 36 inf + 38212 7.870 * * [simplify]: Extracting #6: cost 0 inf + 47750 7.891 * * [simplify]: Extracting #7: cost 0 inf + 47743 7.913 * * [simplify]: Extracting #8: cost 0 inf + 47741 7.935 * [simplify]: Simplified to (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))) 7.935 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* PI 2))) (* (log (* n (* PI 2))) k)) 2) (log (sqrt k))))) 7.935 * * * * [progress]: [ 129 / 196 ] simplifiying candidate # 7.936 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 7.936 * * [simplify]: iters left: 6 (16 enodes) 7.945 * * [simplify]: iters left: 5 (70 enodes) 7.973 * * [simplify]: iters left: 4 (120 enodes) 8.015 * * [simplify]: iters left: 3 (257 enodes) 8.102 * * [simplify]: Extracting #0: cost 1 inf + 0 8.102 * * [simplify]: Extracting #1: cost 32 inf + 0 8.103 * * [simplify]: Extracting #2: cost 160 inf + 1 8.103 * * [simplify]: Extracting #3: cost 242 inf + 76 8.106 * * [simplify]: Extracting #4: cost 203 inf + 6225 8.119 * * [simplify]: Extracting #5: cost 61 inf + 38019 8.139 * * [simplify]: Extracting #6: cost 2 inf + 57891 8.161 * * [simplify]: Extracting #7: cost 0 inf + 58592 8.179 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))) 8.179 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* PI 2)))) (log (sqrt k))))) 8.179 * * * * [progress]: [ 130 / 196 ] simplifiying candidate # 8.180 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))) 8.180 * * [simplify]: iters left: 6 (17 enodes) 8.188 * * [simplify]: iters left: 5 (71 enodes) 8.200 * * [simplify]: iters left: 4 (119 enodes) 8.240 * * [simplify]: iters left: 3 (314 enodes) 8.405 * * [simplify]: Extracting #0: cost 1 inf + 0 8.406 * * [simplify]: Extracting #1: cost 35 inf + 0 8.406 * * [simplify]: Extracting #2: cost 104 inf + 1 8.407 * * [simplify]: Extracting #3: cost 143 inf + 757 8.410 * * [simplify]: Extracting #4: cost 140 inf + 4902 8.423 * * [simplify]: Extracting #5: cost 34 inf + 35020 8.443 * * [simplify]: Extracting #6: cost 0 inf + 49439 8.454 * * [simplify]: Extracting #7: cost 0 inf + 49406 8.465 * * [simplify]: Extracting #8: cost 0 inf + 49402 8.479 * * [simplify]: Extracting #9: cost 0 inf + 49401 8.494 * [simplify]: Simplified to (- (/ (- (+ (+ (log PI) (log n)) (log 2)) (* k (+ (+ (log PI) (log n)) (log 2)))) 2) (log (sqrt k))) 8.494 * [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))))) 8.494 * * * * [progress]: [ 131 / 196 ] simplifiying candidate # 8.496 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))) 8.497 * * [simplify]: iters left: 6 (16 enodes) 8.502 * * [simplify]: iters left: 5 (69 enodes) 8.513 * * [simplify]: iters left: 4 (112 enodes) 8.552 * * [simplify]: iters left: 3 (257 enodes) 8.661 * * [simplify]: Extracting #0: cost 1 inf + 0 8.661 * * [simplify]: Extracting #1: cost 31 inf + 0 8.662 * * [simplify]: Extracting #2: cost 94 inf + 1 8.663 * * [simplify]: Extracting #3: cost 132 inf + 503 8.665 * * [simplify]: Extracting #4: cost 128 inf + 3709 8.674 * * [simplify]: Extracting #5: cost 39 inf + 27174 8.689 * * [simplify]: Extracting #6: cost 2 inf + 39194 8.701 * * [simplify]: Extracting #7: cost 0 inf + 39544 8.709 * * [simplify]: Extracting #8: cost 0 inf + 39543 8.717 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 8.717 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 8.718 * * * * [progress]: [ 132 / 196 ] simplifiying candidate # 8.718 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.718 * * [simplify]: iters left: 6 (15 enodes) 8.722 * * [simplify]: iters left: 5 (68 enodes) 8.733 * * [simplify]: iters left: 4 (119 enodes) 8.754 * * [simplify]: iters left: 3 (239 enodes) 8.850 * * [simplify]: Extracting #0: cost 1 inf + 0 8.850 * * [simplify]: Extracting #1: cost 25 inf + 0 8.851 * * [simplify]: Extracting #2: cost 92 inf + 1 8.851 * * [simplify]: Extracting #3: cost 130 inf + 543 8.852 * * [simplify]: Extracting #4: cost 139 inf + 2074 8.855 * * [simplify]: Extracting #5: cost 57 inf + 18543 8.861 * * [simplify]: Extracting #6: cost 6 inf + 31905 8.870 * * [simplify]: Extracting #7: cost 0 inf + 33686 8.888 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 8.888 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 8.889 * * * * [progress]: [ 133 / 196 ] simplifiying candidate # 8.889 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 8.889 * * [simplify]: iters left: 6 (15 enodes) 8.898 * * [simplify]: iters left: 5 (68 enodes) 8.920 * * [simplify]: iters left: 4 (119 enodes) 8.942 * * [simplify]: iters left: 3 (239 enodes) 9.060 * * [simplify]: Extracting #0: cost 1 inf + 0 9.060 * * [simplify]: Extracting #1: cost 25 inf + 0 9.060 * * [simplify]: Extracting #2: cost 92 inf + 1 9.061 * * [simplify]: Extracting #3: cost 130 inf + 543 9.063 * * [simplify]: Extracting #4: cost 139 inf + 2074 9.069 * * [simplify]: Extracting #5: cost 57 inf + 18543 9.076 * * [simplify]: Extracting #6: cost 6 inf + 31905 9.084 * * [simplify]: Extracting #7: cost 0 inf + 33686 9.091 * [simplify]: Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))) 9.091 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k))))) 9.091 * * * * [progress]: [ 134 / 196 ] simplifiying candidate # 9.091 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.091 * * [simplify]: iters left: 6 (15 enodes) 9.096 * * [simplify]: iters left: 5 (67 enodes) 9.112 * * [simplify]: iters left: 4 (118 enodes) 9.151 * * [simplify]: iters left: 3 (226 enodes) 9.247 * * [simplify]: Extracting #0: cost 1 inf + 0 9.247 * * [simplify]: Extracting #1: cost 26 inf + 0 9.247 * * [simplify]: Extracting #2: cost 121 inf + 1 9.247 * * [simplify]: Extracting #3: cost 186 inf + 5 9.248 * * [simplify]: Extracting #4: cost 162 inf + 3722 9.253 * * [simplify]: Extracting #5: cost 52 inf + 27263 9.260 * * [simplify]: Extracting #6: cost 3 inf + 41943 9.271 * * [simplify]: Extracting #7: cost 0 inf + 43631 9.287 * [simplify]: Simplified to (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))) 9.287 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) (log (sqrt k))))) 9.288 * * * * [progress]: [ 135 / 196 ] simplifiying candidate # 9.288 * * * * [progress]: [ 136 / 196 ] simplifiying candidate # 9.288 * * * * [progress]: [ 137 / 196 ] simplifiying candidate # 9.288 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.288 * * [simplify]: iters left: 6 (19 enodes) 9.299 * * [simplify]: iters left: 5 (80 enodes) 9.329 * * [simplify]: iters left: 4 (188 enodes) 9.458 * * [simplify]: Extracting #0: cost 1 inf + 0 9.458 * * [simplify]: Extracting #1: cost 52 inf + 0 9.459 * * [simplify]: Extracting #2: cost 152 inf + 248 9.461 * * [simplify]: Extracting #3: cost 161 inf + 1681 9.463 * * [simplify]: Extracting #4: cost 148 inf + 2885 9.469 * * [simplify]: Extracting #5: cost 100 inf + 19336 9.495 * * [simplify]: Extracting #6: cost 2 inf + 75093 9.520 * * [simplify]: Extracting #7: cost 0 inf + 75063 9.537 * [simplify]: Simplified to (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))) 9.537 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (pow (* (* PI 2) n) (/ (- 1 k) 2))) k) (sqrt k))))) 9.537 * * * * [progress]: [ 138 / 196 ] simplifiying candidate # 9.537 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 9.537 * * [simplify]: iters left: 6 (17 enodes) 9.543 * * [simplify]: iters left: 5 (81 enodes) 9.562 * * [simplify]: iters left: 4 (170 enodes) 9.639 * * [simplify]: iters left: 3 (476 enodes) 10.057 * * [simplify]: Extracting #0: cost 1 inf + 0 10.057 * * [simplify]: Extracting #1: cost 91 inf + 0 10.059 * * [simplify]: Extracting #2: cost 417 inf + 3 10.061 * * [simplify]: Extracting #3: cost 448 inf + 1123 10.068 * * [simplify]: Extracting #4: cost 412 inf + 7804 10.085 * * [simplify]: Extracting #5: cost 247 inf + 96425 10.141 * * [simplify]: Extracting #6: cost 21 inf + 270020 10.187 * * [simplify]: Extracting #7: cost 0 inf + 282339 10.271 * * [simplify]: Extracting #8: cost 0 inf + 279009 10.359 * * [simplify]: Extracting #9: cost 0 inf + 278669 10.406 * [simplify]: Simplified to (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))) 10.406 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (* k (sqrt k))) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 4)) (pow (* n (* PI 2)) (/ (- 1 k) 4))) (pow (* n (* PI 2)) (/ (- 1 k) 4)))))) 10.406 * * * * [progress]: [ 139 / 196 ] simplifiying candidate # 10.406 * * * * [progress]: [ 140 / 196 ] simplifiying candidate # 10.406 * * * * [progress]: [ 141 / 196 ] simplifiying candidate # 10.406 * * * * [progress]: [ 142 / 196 ] simplifiying candidate # 10.406 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 10.406 * * [simplify]: iters left: 6 (9 enodes) 10.410 * * [simplify]: iters left: 5 (37 enodes) 10.418 * * [simplify]: iters left: 4 (66 enodes) 10.431 * * [simplify]: iters left: 3 (105 enodes) 10.452 * * [simplify]: iters left: 2 (164 enodes) 10.484 * * [simplify]: iters left: 1 (292 enodes) 10.589 * * [simplify]: Extracting #0: cost 1 inf + 0 10.589 * * [simplify]: Extracting #1: cost 18 inf + 0 10.589 * * [simplify]: Extracting #2: cost 64 inf + 3 10.590 * * [simplify]: Extracting #3: cost 68 inf + 53 10.590 * * [simplify]: Extracting #4: cost 55 inf + 2111 10.592 * * [simplify]: Extracting #5: cost 21 inf + 17969 10.596 * * [simplify]: Extracting #6: cost 0 inf + 32739 10.601 * * [simplify]: Extracting #7: cost 0 inf + 32659 10.605 * [simplify]: Simplified to (sqrt (* PI (* 2 n))) 10.605 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 10.605 * [simplify]: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 10.605 * * [simplify]: iters left: 6 (10 enodes) 10.608 * * [simplify]: iters left: 5 (38 enodes) 10.617 * * [simplify]: iters left: 4 (62 enodes) 10.629 * * [simplify]: iters left: 3 (104 enodes) 10.664 * * [simplify]: iters left: 2 (205 enodes) 10.719 * * [simplify]: iters left: 1 (464 enodes) 11.064 * * [simplify]: Extracting #0: cost 1 inf + 0 11.064 * * [simplify]: Extracting #1: cost 47 inf + 0 11.065 * * [simplify]: Extracting #2: cost 169 inf + 0 11.066 * * [simplify]: Extracting #3: cost 207 inf + 87 11.067 * * [simplify]: Extracting #4: cost 170 inf + 6541 11.078 * * [simplify]: Extracting #5: cost 78 inf + 60938 11.107 * * [simplify]: Extracting #6: cost 4 inf + 129528 11.144 * * [simplify]: Extracting #7: cost 0 inf + 129330 11.165 * * [simplify]: Extracting #8: cost 0 inf + 127557 11.192 * * [simplify]: Extracting #9: cost 0 inf + 127427 11.214 * [simplify]: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 11.214 * [simplify]: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 11.214 * * * * [progress]: [ 143 / 196 ] simplifiying candidate # 11.214 * * * * [progress]: [ 144 / 196 ] simplifiying candidate # 11.214 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.214 * * [simplify]: iters left: 6 (15 enodes) 11.223 * * [simplify]: iters left: 5 (61 enodes) 11.234 * * [simplify]: iters left: 4 (91 enodes) 11.248 * * [simplify]: iters left: 3 (129 enodes) 11.283 * * [simplify]: iters left: 2 (215 enodes) 11.327 * * [simplify]: iters left: 1 (377 enodes) 11.471 * * [simplify]: Extracting #0: cost 1 inf + 0 11.471 * * [simplify]: Extracting #1: cost 4 inf + 0 11.471 * * [simplify]: Extracting #2: cost 9 inf + 0 11.471 * * [simplify]: Extracting #3: cost 41 inf + 0 11.471 * * [simplify]: Extracting #4: cost 120 inf + 2 11.472 * * [simplify]: Extracting #5: cost 142 inf + 588 11.479 * * [simplify]: Extracting #6: cost 85 inf + 10856 11.492 * * [simplify]: Extracting #7: cost 15 inf + 45576 11.511 * * [simplify]: Extracting #8: cost 0 inf + 58010 11.533 * * [simplify]: Extracting #9: cost 0 inf + 56674 11.547 * * [simplify]: Extracting #10: cost 0 inf + 56383 11.557 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.557 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 11.557 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 11.557 * * [simplify]: iters left: 6 (15 enodes) 11.562 * * [simplify]: iters left: 5 (61 enodes) 11.575 * * [simplify]: iters left: 4 (91 enodes) 11.597 * * [simplify]: iters left: 3 (129 enodes) 11.627 * * [simplify]: iters left: 2 (215 enodes) 11.679 * * [simplify]: iters left: 1 (377 enodes) 11.807 * * [simplify]: Extracting #0: cost 1 inf + 0 11.807 * * [simplify]: Extracting #1: cost 4 inf + 0 11.807 * * [simplify]: Extracting #2: cost 9 inf + 0 11.807 * * [simplify]: Extracting #3: cost 41 inf + 0 11.808 * * [simplify]: Extracting #4: cost 120 inf + 2 11.809 * * [simplify]: Extracting #5: cost 142 inf + 588 11.813 * * [simplify]: Extracting #6: cost 85 inf + 10856 11.826 * * [simplify]: Extracting #7: cost 15 inf + 45576 11.845 * * [simplify]: Extracting #8: cost 0 inf + 58010 11.866 * * [simplify]: Extracting #9: cost 0 inf + 56674 11.880 * * [simplify]: Extracting #10: cost 0 inf + 56383 11.890 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))) 11.890 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k))))))) 11.890 * * * * [progress]: [ 145 / 196 ] simplifiying candidate # 11.890 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 11.890 * * [simplify]: iters left: 6 (15 enodes) 11.895 * * [simplify]: iters left: 5 (64 enodes) 11.911 * * [simplify]: iters left: 4 (101 enodes) 11.935 * * [simplify]: iters left: 3 (160 enodes) 11.969 * * [simplify]: iters left: 2 (299 enodes) 12.094 * * [simplify]: Extracting #0: cost 1 inf + 0 12.095 * * [simplify]: Extracting #1: cost 34 inf + 0 12.095 * * [simplify]: Extracting #2: cost 102 inf + 0 12.096 * * [simplify]: Extracting #3: cost 155 inf + 2 12.097 * * [simplify]: Extracting #4: cost 168 inf + 139 12.100 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.105 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.121 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.146 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.168 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.190 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.190 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 12.191 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 12.191 * * [simplify]: iters left: 6 (15 enodes) 12.199 * * [simplify]: iters left: 5 (64 enodes) 12.220 * * [simplify]: iters left: 4 (101 enodes) 12.253 * * [simplify]: iters left: 3 (160 enodes) 12.313 * * [simplify]: iters left: 2 (299 enodes) 12.414 * * [simplify]: Extracting #0: cost 1 inf + 0 12.414 * * [simplify]: Extracting #1: cost 34 inf + 0 12.415 * * [simplify]: Extracting #2: cost 102 inf + 0 12.416 * * [simplify]: Extracting #3: cost 155 inf + 2 12.417 * * [simplify]: Extracting #4: cost 168 inf + 139 12.419 * * [simplify]: Extracting #5: cost 136 inf + 4159 12.425 * * [simplify]: Extracting #6: cost 78 inf + 13897 12.441 * * [simplify]: Extracting #7: cost 16 inf + 59233 12.462 * * [simplify]: Extracting #8: cost 0 inf + 73111 12.485 * * [simplify]: Extracting #9: cost 0 inf + 73021 12.507 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))) 12.507 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (- 1/4 (/ k 4)))))) 12.507 * * * * [progress]: [ 146 / 196 ] simplifiying candidate # 12.508 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.508 * * [simplify]: iters left: 6 (16 enodes) 12.517 * * [simplify]: iters left: 5 (66 enodes) 12.539 * * [simplify]: iters left: 4 (106 enodes) 12.579 * * [simplify]: iters left: 3 (156 enodes) 12.627 * * [simplify]: iters left: 2 (230 enodes) 12.697 * * [simplify]: iters left: 1 (385 enodes) 12.809 * * [simplify]: Extracting #0: cost 1 inf + 0 12.809 * * [simplify]: Extracting #1: cost 7 inf + 0 12.809 * * [simplify]: Extracting #2: cost 13 inf + 1 12.809 * * [simplify]: Extracting #3: cost 39 inf + 1 12.809 * * [simplify]: Extracting #4: cost 111 inf + 288 12.810 * * [simplify]: Extracting #5: cost 136 inf + 1737 12.813 * * [simplify]: Extracting #6: cost 67 inf + 17104 12.822 * * [simplify]: Extracting #7: cost 2 inf + 59367 12.840 * * [simplify]: Extracting #8: cost 0 inf + 59071 12.851 * * [simplify]: Extracting #9: cost 0 inf + 58872 12.864 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 12.864 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 12.864 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 12.864 * * [simplify]: iters left: 6 (16 enodes) 12.869 * * [simplify]: iters left: 5 (66 enodes) 12.882 * * [simplify]: iters left: 4 (106 enodes) 12.912 * * [simplify]: iters left: 3 (156 enodes) 12.936 * * [simplify]: iters left: 2 (230 enodes) 12.987 * * [simplify]: iters left: 1 (385 enodes) 13.103 * * [simplify]: Extracting #0: cost 1 inf + 0 13.103 * * [simplify]: Extracting #1: cost 7 inf + 0 13.103 * * [simplify]: Extracting #2: cost 13 inf + 1 13.103 * * [simplify]: Extracting #3: cost 39 inf + 1 13.103 * * [simplify]: Extracting #4: cost 111 inf + 288 13.104 * * [simplify]: Extracting #5: cost 136 inf + 1737 13.111 * * [simplify]: Extracting #6: cost 67 inf + 17104 13.119 * * [simplify]: Extracting #7: cost 2 inf + 59367 13.129 * * [simplify]: Extracting #8: cost 0 inf + 59071 13.138 * * [simplify]: Extracting #9: cost 0 inf + 58872 13.154 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.154 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.155 * * * * [progress]: [ 147 / 196 ] simplifiying candidate # 13.155 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.155 * * [simplify]: iters left: 6 (16 enodes) 13.165 * * [simplify]: iters left: 5 (69 enodes) 13.188 * * [simplify]: iters left: 4 (113 enodes) 13.210 * * [simplify]: iters left: 3 (192 enodes) 13.261 * * [simplify]: iters left: 2 (378 enodes) 13.375 * * [simplify]: Extracting #0: cost 1 inf + 0 13.375 * * [simplify]: Extracting #1: cost 45 inf + 0 13.375 * * [simplify]: Extracting #2: cost 112 inf + 1 13.376 * * [simplify]: Extracting #3: cost 167 inf + 3 13.377 * * [simplify]: Extracting #4: cost 175 inf + 301 13.382 * * [simplify]: Extracting #5: cost 140 inf + 5145 13.385 * * [simplify]: Extracting #6: cost 79 inf + 18141 13.397 * * [simplify]: Extracting #7: cost 21 inf + 57536 13.422 * * [simplify]: Extracting #8: cost 0 inf + 76625 13.449 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 13.449 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 13.449 * * [simplify]: iters left: 6 (16 enodes) 13.459 * * [simplify]: iters left: 5 (69 enodes) 13.476 * * [simplify]: iters left: 4 (113 enodes) 13.495 * * [simplify]: iters left: 3 (192 enodes) 13.550 * * [simplify]: iters left: 2 (378 enodes) 13.691 * * [simplify]: Extracting #0: cost 1 inf + 0 13.691 * * [simplify]: Extracting #1: cost 45 inf + 0 13.692 * * [simplify]: Extracting #2: cost 112 inf + 1 13.693 * * [simplify]: Extracting #3: cost 167 inf + 3 13.700 * * [simplify]: Extracting #4: cost 175 inf + 301 13.703 * * [simplify]: Extracting #5: cost 140 inf + 5145 13.710 * * [simplify]: Extracting #6: cost 79 inf + 18141 13.728 * * [simplify]: Extracting #7: cost 21 inf + 57536 13.754 * * [simplify]: Extracting #8: cost 0 inf + 76625 13.774 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 13.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 13.774 * * * * [progress]: [ 148 / 196 ] simplifiying candidate # 13.775 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 13.775 * * [simplify]: iters left: 6 (16 enodes) 13.780 * * [simplify]: iters left: 5 (66 enodes) 13.792 * * [simplify]: iters left: 4 (106 enodes) 13.824 * * [simplify]: iters left: 3 (156 enodes) 13.853 * * [simplify]: iters left: 2 (230 enodes) 13.911 * * [simplify]: iters left: 1 (385 enodes) 14.049 * * [simplify]: Extracting #0: cost 1 inf + 0 14.050 * * [simplify]: Extracting #1: cost 7 inf + 0 14.050 * * [simplify]: Extracting #2: cost 13 inf + 1 14.050 * * [simplify]: Extracting #3: cost 39 inf + 1 14.051 * * [simplify]: Extracting #4: cost 111 inf + 288 14.052 * * [simplify]: Extracting #5: cost 136 inf + 1737 14.058 * * [simplify]: Extracting #6: cost 67 inf + 17104 14.069 * * [simplify]: Extracting #7: cost 2 inf + 59367 14.078 * * [simplify]: Extracting #8: cost 0 inf + 59071 14.087 * * [simplify]: Extracting #9: cost 0 inf + 58872 14.097 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.097 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 14.097 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 14.097 * * [simplify]: iters left: 6 (16 enodes) 14.102 * * [simplify]: iters left: 5 (66 enodes) 14.116 * * [simplify]: iters left: 4 (106 enodes) 14.133 * * [simplify]: iters left: 3 (156 enodes) 14.158 * * [simplify]: iters left: 2 (230 enodes) 14.221 * * [simplify]: iters left: 1 (385 enodes) 14.346 * * [simplify]: Extracting #0: cost 1 inf + 0 14.346 * * [simplify]: Extracting #1: cost 7 inf + 0 14.346 * * [simplify]: Extracting #2: cost 13 inf + 1 14.346 * * [simplify]: Extracting #3: cost 39 inf + 1 14.347 * * [simplify]: Extracting #4: cost 111 inf + 288 14.348 * * [simplify]: Extracting #5: cost 136 inf + 1737 14.350 * * [simplify]: Extracting #6: cost 67 inf + 17104 14.359 * * [simplify]: Extracting #7: cost 2 inf + 59367 14.371 * * [simplify]: Extracting #8: cost 0 inf + 59071 14.380 * * [simplify]: Extracting #9: cost 0 inf + 58872 14.389 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.389 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.389 * * * * [progress]: [ 149 / 196 ] simplifiying candidate # 14.390 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.390 * * [simplify]: iters left: 6 (16 enodes) 14.396 * * [simplify]: iters left: 5 (69 enodes) 14.415 * * [simplify]: iters left: 4 (113 enodes) 14.435 * * [simplify]: iters left: 3 (192 enodes) 14.475 * * [simplify]: iters left: 2 (378 enodes) 14.648 * * [simplify]: Extracting #0: cost 1 inf + 0 14.648 * * [simplify]: Extracting #1: cost 45 inf + 0 14.649 * * [simplify]: Extracting #2: cost 112 inf + 1 14.650 * * [simplify]: Extracting #3: cost 167 inf + 3 14.652 * * [simplify]: Extracting #4: cost 175 inf + 301 14.654 * * [simplify]: Extracting #5: cost 140 inf + 5145 14.661 * * [simplify]: Extracting #6: cost 79 inf + 18141 14.680 * * [simplify]: Extracting #7: cost 21 inf + 57536 14.709 * * [simplify]: Extracting #8: cost 0 inf + 76625 14.734 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 14.735 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 14.735 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 14.735 * * [simplify]: iters left: 6 (16 enodes) 14.745 * * [simplify]: iters left: 5 (69 enodes) 14.766 * * [simplify]: iters left: 4 (113 enodes) 14.788 * * [simplify]: iters left: 3 (192 enodes) 14.860 * * [simplify]: iters left: 2 (378 enodes) 14.993 * * [simplify]: Extracting #0: cost 1 inf + 0 14.994 * * [simplify]: Extracting #1: cost 45 inf + 0 14.994 * * [simplify]: Extracting #2: cost 112 inf + 1 14.995 * * [simplify]: Extracting #3: cost 167 inf + 3 14.997 * * [simplify]: Extracting #4: cost 175 inf + 301 15.000 * * [simplify]: Extracting #5: cost 140 inf + 5145 15.007 * * [simplify]: Extracting #6: cost 79 inf + 18141 15.428 * * [simplify]: Extracting #7: cost 21 inf + 57536 15.449 * * [simplify]: Extracting #8: cost 0 inf + 76625 15.462 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))) 15.462 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* n (* PI 2)) (* 1/4 (- 1 k))) (sqrt (sqrt k))))) 15.462 * * * * [progress]: [ 150 / 196 ] simplifiying candidate # 15.462 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.462 * * [simplify]: iters left: 6 (15 enodes) 15.467 * * [simplify]: iters left: 5 (63 enodes) 15.478 * * [simplify]: iters left: 4 (97 enodes) 15.510 * * [simplify]: iters left: 3 (152 enodes) 15.550 * * [simplify]: iters left: 2 (244 enodes) 15.603 * * [simplify]: iters left: 1 (402 enodes) 15.757 * * [simplify]: Extracting #0: cost 1 inf + 0 15.757 * * [simplify]: Extracting #1: cost 7 inf + 0 15.757 * * [simplify]: Extracting #2: cost 13 inf + 1 15.757 * * [simplify]: Extracting #3: cost 40 inf + 1 15.757 * * [simplify]: Extracting #4: cost 117 inf + 3 15.758 * * [simplify]: Extracting #5: cost 148 inf + 1954 15.761 * * [simplify]: Extracting #6: cost 73 inf + 15740 15.767 * * [simplify]: Extracting #7: cost 32 inf + 32362 15.776 * * [simplify]: Extracting #8: cost 0 inf + 60208 15.785 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 15.785 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 15.786 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 15.786 * * [simplify]: iters left: 6 (15 enodes) 15.790 * * [simplify]: iters left: 5 (63 enodes) 15.802 * * [simplify]: iters left: 4 (97 enodes) 15.819 * * [simplify]: iters left: 3 (152 enodes) 15.873 * * [simplify]: iters left: 2 (244 enodes) 15.919 * * [simplify]: iters left: 1 (402 enodes) 16.023 * * [simplify]: Extracting #0: cost 1 inf + 0 16.023 * * [simplify]: Extracting #1: cost 7 inf + 0 16.023 * * [simplify]: Extracting #2: cost 13 inf + 1 16.023 * * [simplify]: Extracting #3: cost 40 inf + 1 16.024 * * [simplify]: Extracting #4: cost 117 inf + 3 16.025 * * [simplify]: Extracting #5: cost 148 inf + 1954 16.031 * * [simplify]: Extracting #6: cost 73 inf + 15740 16.042 * * [simplify]: Extracting #7: cost 32 inf + 32362 16.059 * * [simplify]: Extracting #8: cost 0 inf + 60208 16.078 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 16.078 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 16.078 * * * * [progress]: [ 151 / 196 ] simplifiying candidate # 16.078 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.078 * * [simplify]: iters left: 6 (15 enodes) 16.087 * * [simplify]: iters left: 5 (66 enodes) 16.109 * * [simplify]: iters left: 4 (109 enodes) 16.146 * * [simplify]: iters left: 3 (192 enodes) 16.195 * * [simplify]: iters left: 2 (371 enodes) 16.343 * * [simplify]: Extracting #0: cost 1 inf + 0 16.343 * * [simplify]: Extracting #1: cost 40 inf + 0 16.343 * * [simplify]: Extracting #2: cost 127 inf + 1 16.344 * * [simplify]: Extracting #3: cost 186 inf + 3 16.345 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.348 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.359 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.386 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.414 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.415 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 16.415 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 16.415 * * [simplify]: iters left: 6 (15 enodes) 16.425 * * [simplify]: iters left: 5 (66 enodes) 16.441 * * [simplify]: iters left: 4 (109 enodes) 16.461 * * [simplify]: iters left: 3 (192 enodes) 16.526 * * [simplify]: iters left: 2 (371 enodes) 16.677 * * [simplify]: Extracting #0: cost 1 inf + 0 16.677 * * [simplify]: Extracting #1: cost 40 inf + 0 16.678 * * [simplify]: Extracting #2: cost 127 inf + 1 16.679 * * [simplify]: Extracting #3: cost 186 inf + 3 16.681 * * [simplify]: Extracting #4: cost 180 inf + 1500 16.685 * * [simplify]: Extracting #5: cost 115 inf + 12508 16.695 * * [simplify]: Extracting #6: cost 18 inf + 70745 16.708 * * [simplify]: Extracting #7: cost 0 inf + 85905 16.738 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 16.738 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 16.739 * * * * [progress]: [ 152 / 196 ] simplifiying candidate # 16.739 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 16.739 * * [simplify]: iters left: 6 (15 enodes) 16.748 * * [simplify]: iters left: 5 (63 enodes) 16.768 * * [simplify]: iters left: 4 (97 enodes) 16.787 * * [simplify]: iters left: 3 (152 enodes) 16.833 * * [simplify]: iters left: 2 (244 enodes) 16.916 * * [simplify]: iters left: 1 (402 enodes) 17.053 * * [simplify]: Extracting #0: cost 1 inf + 0 17.053 * * [simplify]: Extracting #1: cost 7 inf + 0 17.053 * * [simplify]: Extracting #2: cost 13 inf + 1 17.053 * * [simplify]: Extracting #3: cost 40 inf + 1 17.054 * * [simplify]: Extracting #4: cost 117 inf + 3 17.055 * * [simplify]: Extracting #5: cost 148 inf + 1954 17.061 * * [simplify]: Extracting #6: cost 73 inf + 15740 17.077 * * [simplify]: Extracting #7: cost 32 inf + 32362 17.095 * * [simplify]: Extracting #8: cost 0 inf + 60208 17.112 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 17.113 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))) 17.113 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 17.113 * * [simplify]: iters left: 6 (15 enodes) 17.122 * * [simplify]: iters left: 5 (63 enodes) 17.143 * * [simplify]: iters left: 4 (97 enodes) 17.173 * * [simplify]: iters left: 3 (152 enodes) 17.226 * * [simplify]: iters left: 2 (244 enodes) 17.306 * * [simplify]: iters left: 1 (402 enodes) 17.430 * * [simplify]: Extracting #0: cost 1 inf + 0 17.430 * * [simplify]: Extracting #1: cost 7 inf + 0 17.430 * * [simplify]: Extracting #2: cost 13 inf + 1 17.430 * * [simplify]: Extracting #3: cost 40 inf + 1 17.430 * * [simplify]: Extracting #4: cost 117 inf + 3 17.431 * * [simplify]: Extracting #5: cost 148 inf + 1954 17.434 * * [simplify]: Extracting #6: cost 73 inf + 15740 17.439 * * [simplify]: Extracting #7: cost 32 inf + 32362 17.448 * * [simplify]: Extracting #8: cost 0 inf + 60208 17.457 * [simplify]: Simplified to (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))) 17.457 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (/ (sqrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) (sqrt (sqrt k))))) 17.457 * * * * [progress]: [ 153 / 196 ] simplifiying candidate # 17.457 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.457 * * [simplify]: iters left: 6 (15 enodes) 17.462 * * [simplify]: iters left: 5 (66 enodes) 17.484 * * [simplify]: iters left: 4 (109 enodes) 17.506 * * [simplify]: iters left: 3 (192 enodes) 17.571 * * [simplify]: iters left: 2 (371 enodes) 17.763 * * [simplify]: Extracting #0: cost 1 inf + 0 17.763 * * [simplify]: Extracting #1: cost 40 inf + 0 17.763 * * [simplify]: Extracting #2: cost 127 inf + 1 17.764 * * [simplify]: Extracting #3: cost 186 inf + 3 17.765 * * [simplify]: Extracting #4: cost 180 inf + 1500 17.768 * * [simplify]: Extracting #5: cost 115 inf + 12508 17.777 * * [simplify]: Extracting #6: cost 18 inf + 70745 17.791 * * [simplify]: Extracting #7: cost 0 inf + 85905 17.812 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 17.813 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))) 17.813 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) 17.813 * * [simplify]: iters left: 6 (15 enodes) 17.822 * * [simplify]: iters left: 5 (66 enodes) 17.843 * * [simplify]: iters left: 4 (109 enodes) 17.885 * * [simplify]: iters left: 3 (192 enodes) 17.950 * * [simplify]: iters left: 2 (371 enodes) 18.125 * * [simplify]: Extracting #0: cost 1 inf + 0 18.125 * * [simplify]: Extracting #1: cost 40 inf + 0 18.125 * * [simplify]: Extracting #2: cost 127 inf + 1 18.126 * * [simplify]: Extracting #3: cost 186 inf + 3 18.127 * * [simplify]: Extracting #4: cost 180 inf + 1500 18.130 * * [simplify]: Extracting #5: cost 115 inf + 12508 18.142 * * [simplify]: Extracting #6: cost 18 inf + 70745 18.170 * * [simplify]: Extracting #7: cost 0 inf + 85905 18.191 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 18.191 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (/ (pow (* (* PI n) 2) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 18.191 * * * * [progress]: [ 154 / 196 ] simplifiying candidate # 18.191 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 18.191 * * [simplify]: iters left: 5 (7 enodes) 18.194 * * [simplify]: iters left: 4 (32 enodes) 18.203 * * [simplify]: iters left: 3 (57 enodes) 18.214 * * [simplify]: iters left: 2 (88 enodes) 18.245 * * [simplify]: iters left: 1 (156 enodes) 18.289 * * [simplify]: Extracting #0: cost 1 inf + 0 18.289 * * [simplify]: Extracting #1: cost 13 inf + 0 18.289 * * [simplify]: Extracting #2: cost 49 inf + 2 18.290 * * [simplify]: Extracting #3: cost 80 inf + 6 18.291 * * [simplify]: Extracting #4: cost 58 inf + 1840 18.293 * * [simplify]: Extracting #5: cost 22 inf + 9206 18.299 * * [simplify]: Extracting #6: cost 1 inf + 20886 18.306 * * [simplify]: Extracting #7: cost 0 inf + 21301 18.314 * * [simplify]: Extracting #8: cost 0 inf + 21130 18.320 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 18.320 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 18.321 * * * * [progress]: [ 155 / 196 ] simplifiying candidate # 18.321 * [simplify]: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.321 * * [simplify]: iters left: 6 (11 enodes) 18.328 * * [simplify]: iters left: 5 (48 enodes) 18.345 * * [simplify]: iters left: 4 (77 enodes) 18.371 * * [simplify]: iters left: 3 (118 enodes) 18.396 * * [simplify]: iters left: 2 (206 enodes) 18.445 * * [simplify]: iters left: 1 (372 enodes) 18.583 * * [simplify]: Extracting #0: cost 1 inf + 0 18.583 * * [simplify]: Extracting #1: cost 3 inf + 0 18.583 * * [simplify]: Extracting #2: cost 27 inf + 0 18.584 * * [simplify]: Extracting #3: cost 104 inf + 1 18.585 * * [simplify]: Extracting #4: cost 163 inf + 176 18.587 * * [simplify]: Extracting #5: cost 158 inf + 478 18.591 * * [simplify]: Extracting #6: cost 99 inf + 10661 18.603 * * [simplify]: Extracting #7: cost 36 inf + 32713 18.630 * * [simplify]: Extracting #8: cost 0 inf + 58050 18.654 * [simplify]: Simplified to (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))) 18.654 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (* 1/2 (- 1 k)))))) 18.655 * * * * [progress]: [ 156 / 196 ] simplifiying candidate # 18.655 * [simplify]: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 18.655 * * [simplify]: iters left: 6 (11 enodes) 18.661 * * [simplify]: iters left: 5 (48 enodes) 18.677 * * [simplify]: iters left: 4 (78 enodes) 18.701 * * [simplify]: iters left: 3 (119 enodes) 18.743 * * [simplify]: iters left: 2 (210 enodes) 18.805 * * [simplify]: iters left: 1 (385 enodes) 18.970 * * [simplify]: Extracting #0: cost 1 inf + 0 18.970 * * [simplify]: Extracting #1: cost 4 inf + 0 18.970 * * [simplify]: Extracting #2: cost 31 inf + 0 18.970 * * [simplify]: Extracting #3: cost 113 inf + 1 18.971 * * [simplify]: Extracting #4: cost 153 inf + 178 18.972 * * [simplify]: Extracting #5: cost 144 inf + 1185 18.974 * * [simplify]: Extracting #6: cost 79 inf + 10570 18.982 * * [simplify]: Extracting #7: cost 13 inf + 47373 18.998 * * [simplify]: Extracting #8: cost 0 inf + 58801 19.018 * [simplify]: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 19.018 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.018 * * * * [progress]: [ 157 / 196 ] simplifiying candidate # 19.019 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 19.019 * * [simplify]: iters left: 5 (10 enodes) 19.022 * * [simplify]: iters left: 4 (45 enodes) 19.030 * * [simplify]: iters left: 3 (78 enodes) 19.044 * * [simplify]: iters left: 2 (118 enodes) 19.083 * * [simplify]: iters left: 1 (191 enodes) 19.121 * * [simplify]: Extracting #0: cost 1 inf + 0 19.121 * * [simplify]: Extracting #1: cost 13 inf + 0 19.121 * * [simplify]: Extracting #2: cost 59 inf + 1 19.122 * * [simplify]: Extracting #3: cost 91 inf + 7 19.122 * * [simplify]: Extracting #4: cost 83 inf + 556 19.124 * * [simplify]: Extracting #5: cost 33 inf + 11764 19.128 * * [simplify]: Extracting #6: cost 0 inf + 23469 19.132 * * [simplify]: Extracting #7: cost 0 inf + 23146 19.136 * [simplify]: Simplified to (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 19.137 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 19.137 * * * * [progress]: [ 158 / 196 ] simplifiying candidate # 19.137 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) 19.137 * * [simplify]: iters left: 6 (11 enodes) 19.141 * * [simplify]: iters left: 5 (51 enodes) 19.156 * * [simplify]: iters left: 4 (87 enodes) 19.186 * * [simplify]: iters left: 3 (143 enodes) 19.215 * * [simplify]: iters left: 2 (259 enodes) 19.284 * * [simplify]: iters left: 1 (471 enodes) 19.520 * * [simplify]: Extracting #0: cost 1 inf + 0 19.520 * * [simplify]: Extracting #1: cost 24 inf + 0 19.520 * * [simplify]: Extracting #2: cost 119 inf + 1 19.521 * * [simplify]: Extracting #3: cost 203 inf + 137 19.522 * * [simplify]: Extracting #4: cost 200 inf + 729 19.525 * * [simplify]: Extracting #5: cost 123 inf + 9170 19.531 * * [simplify]: Extracting #6: cost 38 inf + 34270 19.542 * * [simplify]: Extracting #7: cost 6 inf + 59341 19.556 * * [simplify]: Extracting #8: cost 0 inf + 64938 19.567 * [simplify]: Simplified to (pow (* (* 2 PI) n) (* 1/4 (- 1 k))) 19.567 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (* 1/4 (- 1 k))))) 19.567 * * * * [progress]: [ 159 / 196 ] simplifiying candidate # 19.567 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.568 * * [simplify]: iters left: 6 (6 enodes) 19.569 * * [simplify]: iters left: 5 (20 enodes) 19.573 * * [simplify]: iters left: 4 (22 enodes) 19.576 * * [simplify]: Extracting #0: cost 1 inf + 0 19.576 * * [simplify]: Extracting #1: cost 3 inf + 0 19.576 * * [simplify]: Extracting #2: cost 5 inf + 0 19.576 * * [simplify]: Extracting #3: cost 8 inf + 0 19.576 * * [simplify]: Extracting #4: cost 9 inf + 1 19.576 * * [simplify]: Extracting #5: cost 8 inf + 2 19.577 * * [simplify]: Extracting #6: cost 1 inf + 774 19.577 * * [simplify]: Extracting #7: cost 0 inf + 976 19.577 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 19.577 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.577 * * * * [progress]: [ 160 / 196 ] simplifiying candidate # 19.578 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 19.578 * * [simplify]: iters left: 4 (5 enodes) 19.580 * * [simplify]: iters left: 3 (17 enodes) 19.586 * * [simplify]: iters left: 2 (19 enodes) 19.590 * * [simplify]: Extracting #0: cost 1 inf + 0 19.590 * * [simplify]: Extracting #1: cost 3 inf + 0 19.590 * * [simplify]: Extracting #2: cost 6 inf + 0 19.590 * * [simplify]: Extracting #3: cost 7 inf + 1 19.590 * * [simplify]: Extracting #4: cost 0 inf + 492 19.590 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 19.590 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.590 * * * * [progress]: [ 161 / 196 ] simplifiying candidate # 19.590 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.590 * * [simplify]: iters left: 6 (8 enodes) 19.593 * * [simplify]: iters left: 5 (32 enodes) 19.598 * * [simplify]: iters left: 4 (48 enodes) 19.606 * * [simplify]: iters left: 3 (76 enodes) 19.618 * * [simplify]: iters left: 2 (81 enodes) 19.624 * * [simplify]: Extracting #0: cost 1 inf + 0 19.624 * * [simplify]: Extracting #1: cost 6 inf + 0 19.624 * * [simplify]: Extracting #2: cost 9 inf + 1 19.624 * * [simplify]: Extracting #3: cost 11 inf + 1 19.624 * * [simplify]: Extracting #4: cost 2 inf + 1052 19.625 * * [simplify]: Extracting #5: cost 0 inf + 1376 19.625 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.625 * * * * [progress]: [ 162 / 196 ] simplifiying candidate # 19.625 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 19.625 * * [simplify]: iters left: 6 (8 enodes) 19.628 * * [simplify]: iters left: 5 (29 enodes) 19.635 * * [simplify]: iters left: 4 (31 enodes) 19.639 * * [simplify]: Extracting #0: cost 1 inf + 0 19.639 * * [simplify]: Extracting #1: cost 4 inf + 0 19.639 * * [simplify]: Extracting #2: cost 6 inf + 1 19.639 * * [simplify]: Extracting #3: cost 9 inf + 1 19.640 * * [simplify]: Extracting #4: cost 8 inf + 2 19.640 * * [simplify]: Extracting #5: cost 2 inf + 729 19.640 * * [simplify]: Extracting #6: cost 0 inf + 972 19.640 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.640 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.640 * * * * [progress]: [ 163 / 196 ] simplifiying candidate # 19.640 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.640 * * [simplify]: iters left: 5 (7 enodes) 19.643 * * [simplify]: iters left: 4 (25 enodes) 19.647 * * [simplify]: iters left: 3 (27 enodes) 19.651 * * [simplify]: Extracting #0: cost 1 inf + 0 19.651 * * [simplify]: Extracting #1: cost 4 inf + 0 19.651 * * [simplify]: Extracting #2: cost 5 inf + 1 19.651 * * [simplify]: Extracting #3: cost 7 inf + 1 19.651 * * [simplify]: Extracting #4: cost 6 inf + 2 19.651 * * [simplify]: Extracting #5: cost 2 inf + 368 19.651 * * [simplify]: Extracting #6: cost 0 inf + 490 19.651 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.651 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.651 * * * * [progress]: [ 164 / 196 ] simplifiying candidate # 19.651 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 19.652 * * [simplify]: iters left: 5 (5 enodes) 19.657 * * [simplify]: iters left: 4 (19 enodes) 19.659 * * [simplify]: iters left: 3 (21 enodes) 19.662 * * [simplify]: Extracting #0: cost 1 inf + 0 19.662 * * [simplify]: Extracting #1: cost 0 inf + 1 19.662 * [simplify]: Simplified to 1 19.662 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.662 * * * * [progress]: [ 165 / 196 ] simplifiying candidate # 19.662 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 19.662 * * [simplify]: iters left: 5 (7 enodes) 19.665 * * [simplify]: iters left: 4 (25 enodes) 19.669 * * [simplify]: iters left: 3 (27 enodes) 19.672 * * [simplify]: Extracting #0: cost 1 inf + 0 19.672 * * [simplify]: Extracting #1: cost 4 inf + 0 19.672 * * [simplify]: Extracting #2: cost 5 inf + 1 19.672 * * [simplify]: Extracting #3: cost 7 inf + 1 19.673 * * [simplify]: Extracting #4: cost 6 inf + 2 19.673 * * [simplify]: Extracting #5: cost 2 inf + 368 19.673 * * [simplify]: Extracting #6: cost 0 inf + 490 19.673 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.673 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.673 * * * * [progress]: [ 166 / 196 ] simplifiying candidate # 19.673 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 19.673 * * [simplify]: iters left: 5 (4 enodes) 19.678 * * [simplify]: iters left: 4 (14 enodes) 19.680 * * [simplify]: iters left: 3 (16 enodes) 19.681 * * [simplify]: Extracting #0: cost 1 inf + 0 19.681 * * [simplify]: Extracting #1: cost 0 inf + 1 19.681 * [simplify]: Simplified to 1 19.681 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.682 * * * * [progress]: [ 167 / 196 ] simplifiying candidate # 19.682 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.682 * * [simplify]: iters left: 6 (7 enodes) 19.684 * * [simplify]: iters left: 5 (25 enodes) 19.688 * * [simplify]: iters left: 4 (32 enodes) 19.692 * * [simplify]: iters left: 3 (34 enodes) 19.697 * * [simplify]: Extracting #0: cost 1 inf + 0 19.697 * * [simplify]: Extracting #1: cost 7 inf + 0 19.697 * * [simplify]: Extracting #2: cost 11 inf + 1 19.697 * * [simplify]: Extracting #3: cost 13 inf + 1 19.697 * * [simplify]: Extracting #4: cost 10 inf + 84 19.697 * * [simplify]: Extracting #5: cost 4 inf + 1014 19.697 * * [simplify]: Extracting #6: cost 1 inf + 1498 19.698 * * [simplify]: Extracting #7: cost 0 inf + 1700 19.698 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 19.698 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.698 * * * * [progress]: [ 168 / 196 ] simplifiying candidate # 19.698 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 19.698 * * [simplify]: iters left: 6 (7 enodes) 19.700 * * [simplify]: iters left: 5 (24 enodes) 19.704 * * [simplify]: iters left: 4 (26 enodes) 19.708 * * [simplify]: Extracting #0: cost 1 inf + 0 19.708 * * [simplify]: Extracting #1: cost 4 inf + 0 19.708 * * [simplify]: Extracting #2: cost 6 inf + 1 19.708 * * [simplify]: Extracting #3: cost 9 inf + 1 19.708 * * [simplify]: Extracting #4: cost 8 inf + 2 19.708 * * [simplify]: Extracting #5: cost 2 inf + 730 19.708 * * [simplify]: Extracting #6: cost 0 inf + 972 19.708 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.708 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.709 * * * * [progress]: [ 169 / 196 ] simplifiying candidate # 19.709 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.709 * * [simplify]: iters left: 4 (6 enodes) 19.713 * * [simplify]: iters left: 3 (20 enodes) 19.721 * * [simplify]: iters left: 2 (22 enodes) 19.727 * * [simplify]: Extracting #0: cost 1 inf + 0 19.727 * * [simplify]: Extracting #1: cost 4 inf + 0 19.727 * * [simplify]: Extracting #2: cost 5 inf + 1 19.727 * * [simplify]: Extracting #3: cost 7 inf + 1 19.727 * * [simplify]: Extracting #4: cost 1 inf + 368 19.727 * * [simplify]: Extracting #5: cost 0 inf + 490 19.727 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.728 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.728 * * * * [progress]: [ 170 / 196 ] simplifiying candidate # 19.728 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 19.728 * * [simplify]: iters left: 3 (3 enodes) 19.731 * * [simplify]: iters left: 2 (9 enodes) 19.734 * * [simplify]: iters left: 1 (11 enodes) 19.737 * * [simplify]: Extracting #0: cost 1 inf + 0 19.737 * * [simplify]: Extracting #1: cost 0 inf + 1 19.737 * [simplify]: Simplified to 1 19.737 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.737 * * * * [progress]: [ 171 / 196 ] simplifiying candidate # 19.737 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 19.737 * * [simplify]: iters left: 4 (6 enodes) 19.741 * * [simplify]: iters left: 3 (20 enodes) 19.748 * * [simplify]: iters left: 2 (22 enodes) 19.754 * * [simplify]: Extracting #0: cost 1 inf + 0 19.754 * * [simplify]: Extracting #1: cost 4 inf + 0 19.754 * * [simplify]: Extracting #2: cost 5 inf + 1 19.754 * * [simplify]: Extracting #3: cost 7 inf + 1 19.754 * * [simplify]: Extracting #4: cost 1 inf + 368 19.755 * * [simplify]: Extracting #5: cost 0 inf + 490 19.755 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.755 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.755 * * * * [progress]: [ 172 / 196 ] simplifiying candidate # 19.755 * [simplify]: Simplifying (/ (sqrt 1) 1) 19.755 * * [simplify]: iters left: 3 (3 enodes) 19.759 * * [simplify]: iters left: 2 (9 enodes) 19.762 * * [simplify]: iters left: 1 (11 enodes) 19.765 * * [simplify]: Extracting #0: cost 1 inf + 0 19.765 * * [simplify]: Extracting #1: cost 0 inf + 1 19.765 * [simplify]: Simplified to 1 19.765 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.765 * * * * [progress]: [ 173 / 196 ] simplifiying candidate # 19.766 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.766 * * [simplify]: iters left: 6 (6 enodes) 19.769 * * [simplify]: iters left: 5 (22 enodes) 19.772 * * [simplify]: iters left: 4 (26 enodes) 19.776 * * [simplify]: Extracting #0: cost 1 inf + 0 19.776 * * [simplify]: Extracting #1: cost 6 inf + 0 19.776 * * [simplify]: Extracting #2: cost 9 inf + 1 19.776 * * [simplify]: Extracting #3: cost 11 inf + 1 19.776 * * [simplify]: Extracting #4: cost 8 inf + 84 19.776 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.777 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.777 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.777 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.777 * * * * [progress]: [ 174 / 196 ] simplifiying candidate # 19.777 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 19.777 * * [simplify]: iters left: 6 (6 enodes) 19.779 * * [simplify]: iters left: 5 (21 enodes) 19.782 * * [simplify]: iters left: 4 (23 enodes) 19.785 * * [simplify]: Extracting #0: cost 1 inf + 0 19.785 * * [simplify]: Extracting #1: cost 4 inf + 0 19.785 * * [simplify]: Extracting #2: cost 6 inf + 1 19.785 * * [simplify]: Extracting #3: cost 9 inf + 1 19.786 * * [simplify]: Extracting #4: cost 8 inf + 2 19.786 * * [simplify]: Extracting #5: cost 1 inf + 810 19.786 * * [simplify]: Extracting #6: cost 0 inf + 972 19.786 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 19.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.786 * * * * [progress]: [ 175 / 196 ] simplifiying candidate # 19.786 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.786 * * [simplify]: iters left: 4 (5 enodes) 19.788 * * [simplify]: iters left: 3 (17 enodes) 19.790 * * [simplify]: iters left: 2 (19 enodes) 19.793 * * [simplify]: Extracting #0: cost 1 inf + 0 19.793 * * [simplify]: Extracting #1: cost 4 inf + 0 19.793 * * [simplify]: Extracting #2: cost 5 inf + 1 19.793 * * [simplify]: Extracting #3: cost 7 inf + 1 19.793 * * [simplify]: Extracting #4: cost 0 inf + 490 19.793 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.793 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.794 * * * * [progress]: [ 176 / 196 ] simplifiying candidate # 19.794 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.794 * * [simplify]: iters left: 3 (3 enodes) 19.798 * * [simplify]: iters left: 2 (11 enodes) 19.801 * * [simplify]: iters left: 1 (13 enodes) 19.804 * * [simplify]: Extracting #0: cost 1 inf + 0 19.804 * * [simplify]: Extracting #1: cost 0 inf + 1 19.804 * [simplify]: Simplified to 1 19.804 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.804 * * * * [progress]: [ 177 / 196 ] simplifiying candidate # 19.804 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 19.804 * * [simplify]: iters left: 4 (5 enodes) 19.807 * * [simplify]: iters left: 3 (17 enodes) 19.812 * * [simplify]: iters left: 2 (19 enodes) 19.818 * * [simplify]: Extracting #0: cost 1 inf + 0 19.819 * * [simplify]: Extracting #1: cost 4 inf + 0 19.819 * * [simplify]: Extracting #2: cost 5 inf + 1 19.819 * * [simplify]: Extracting #3: cost 7 inf + 1 19.819 * * [simplify]: Extracting #4: cost 0 inf + 490 19.819 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 19.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.819 * * * * [progress]: [ 178 / 196 ] simplifiying candidate # 19.819 * [simplify]: Simplifying (/ 1 1) 19.820 * * [simplify]: iters left: 2 (2 enodes) 19.821 * * [simplify]: iters left: 1 (6 enodes) 19.823 * * [simplify]: Extracting #0: cost 1 inf + 0 19.823 * * [simplify]: Extracting #1: cost 0 inf + 1 19.823 * [simplify]: Simplified to 1 19.823 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 19.823 * * * * [progress]: [ 179 / 196 ] simplifiying candidate # 19.823 * * * * [progress]: [ 180 / 196 ] simplifiying candidate # 19.823 * * * * [progress]: [ 181 / 196 ] simplifiying candidate # 19.824 * [simplify]: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 19.824 * * [simplify]: iters left: 5 (8 enodes) 19.828 * * [simplify]: iters left: 4 (31 enodes) 19.838 * * [simplify]: iters left: 3 (51 enodes) 19.856 * * [simplify]: iters left: 2 (85 enodes) 19.884 * * [simplify]: iters left: 1 (152 enodes) 19.940 * * [simplify]: Extracting #0: cost 1 inf + 0 19.940 * * [simplify]: Extracting #1: cost 13 inf + 0 19.940 * * [simplify]: Extracting #2: cost 60 inf + 1 19.940 * * [simplify]: Extracting #3: cost 76 inf + 51 19.942 * * [simplify]: Extracting #4: cost 44 inf + 2846 19.944 * * [simplify]: Extracting #5: cost 21 inf + 7590 19.947 * * [simplify]: Extracting #6: cost 1 inf + 20687 19.950 * * [simplify]: Extracting #7: cost 0 inf + 20539 19.952 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 19.952 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2)))) 19.953 * * * * [progress]: [ 182 / 196 ] simplifiying candidate # 19.953 * [simplify]: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 19.953 * * [simplify]: iters left: 6 (11 enodes) 19.956 * * [simplify]: iters left: 5 (47 enodes) 19.965 * * [simplify]: iters left: 4 (82 enodes) 19.982 * * [simplify]: iters left: 3 (126 enodes) 20.025 * * [simplify]: iters left: 2 (214 enodes) 20.068 * * [simplify]: iters left: 1 (362 enodes) 20.219 * * [simplify]: Extracting #0: cost 1 inf + 0 20.219 * * [simplify]: Extracting #1: cost 19 inf + 0 20.219 * * [simplify]: Extracting #2: cost 84 inf + 2 20.220 * * [simplify]: Extracting #3: cost 142 inf + 8 20.221 * * [simplify]: Extracting #4: cost 153 inf + 350 20.224 * * [simplify]: Extracting #5: cost 98 inf + 5365 20.230 * * [simplify]: Extracting #6: cost 51 inf + 13465 20.242 * * [simplify]: Extracting #7: cost 7 inf + 43506 20.258 * * [simplify]: Extracting #8: cost 0 inf + 48877 20.269 * [simplify]: Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2)) 20.269 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k))) 20.270 * * * * [progress]: [ 183 / 196 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))> 20.270 * * * * [progress]: [ 184 / 196 ] simplifiying candidate # 20.270 * * * * [progress]: [ 185 / 196 ] simplifiying candidate # 20.270 * [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))))) 20.270 * * [simplify]: iters left: 6 (37 enodes) 20.285 * * [simplify]: iters left: 5 (190 enodes) 20.351 * * [simplify]: Extracting #0: cost 1 inf + 0 20.351 * * [simplify]: Extracting #1: cost 22 inf + 0 20.351 * * [simplify]: Extracting #2: cost 108 inf + 1 20.352 * * [simplify]: Extracting #3: cost 171 inf + 46 20.353 * * [simplify]: Extracting #4: cost 189 inf + 427 20.355 * * [simplify]: Extracting #5: cost 128 inf + 16032 20.363 * * [simplify]: Extracting #6: cost 29 inf + 57153 20.377 * * [simplify]: Extracting #7: cost 4 inf + 75884 20.395 * * [simplify]: Extracting #8: cost 0 inf + 78767 20.423 * [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))) 20.423 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (fma (* (log (* PI 2)) 1/4) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n))) (- (fma (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k (log n)) (* k (log n)))) 1/8 (fma (* (* 1/8 (log (* PI 2))) (log (* PI 2))) (* (* k k) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (exp (* (+ (log n) (log (* PI 2))) 1/2)))) (* (* k (+ (* (log n) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) 1/2))))) 20.423 * * * * [progress]: [ 186 / 196 ] simplifiying candidate # 20.424 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 20.424 * * [simplify]: iters left: 6 (15 enodes) 20.433 * * [simplify]: iters left: 5 (65 enodes) 20.455 * * [simplify]: iters left: 4 (123 enodes) 20.483 * * [simplify]: iters left: 3 (367 enodes) 20.636 * * [simplify]: Extracting #0: cost 1 inf + 0 20.636 * * [simplify]: Extracting #1: cost 37 inf + 0 20.637 * * [simplify]: Extracting #2: cost 216 inf + 72 20.638 * * [simplify]: Extracting #3: cost 356 inf + 1622 20.643 * * [simplify]: Extracting #4: cost 219 inf + 28945 20.666 * * [simplify]: Extracting #5: cost 21 inf + 83197 20.697 * * [simplify]: Extracting #6: cost 0 inf + 89881 20.719 * * [simplify]: Extracting #7: cost 0 inf + 89729 20.735 * * [simplify]: Extracting #8: cost 0 inf + 89726 20.767 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 20.767 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))))) 20.768 * * * * [progress]: [ 187 / 196 ] simplifiying candidate # 20.768 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 20.768 * * [simplify]: iters left: 6 (16 enodes) 20.778 * * [simplify]: iters left: 5 (67 enodes) 20.803 * * [simplify]: iters left: 4 (134 enodes) 20.849 * * [simplify]: iters left: 3 (413 enodes) 21.092 * * [simplify]: Extracting #0: cost 1 inf + 0 21.092 * * [simplify]: Extracting #1: cost 39 inf + 0 21.094 * * [simplify]: Extracting #2: cost 241 inf + 72 21.097 * * [simplify]: Extracting #3: cost 450 inf + 903 21.102 * * [simplify]: Extracting #4: cost 376 inf + 10375 21.122 * * [simplify]: Extracting #5: cost 158 inf + 67083 21.163 * * [simplify]: Extracting #6: cost 12 inf + 118840 21.211 * * [simplify]: Extracting #7: cost 0 inf + 121984 21.248 * * [simplify]: Extracting #8: cost 0 inf + 121983 21.270 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 21.270 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))))) 21.270 * * * * [progress]: [ 188 / 196 ] simplifiying candidate # 21.270 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 21.270 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.270 * * * * [progress]: [ 189 / 196 ] simplifiying candidate # 21.271 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 21.271 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.271 * * * * [progress]: [ 190 / 196 ] simplifiying candidate # 21.271 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 21.271 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 21.271 * * * * [progress]: [ 191 / 196 ] simplifiying candidate # 21.271 * [simplify]: Simplifying (* 2 (* n PI)) 21.271 * * [simplify]: iters left: 4 (5 enodes) 21.273 * * [simplify]: iters left: 3 (19 enodes) 21.276 * * [simplify]: iters left: 2 (27 enodes) 21.280 * * [simplify]: iters left: 1 (32 enodes) 21.284 * * [simplify]: Extracting #0: cost 1 inf + 0 21.284 * * [simplify]: Extracting #1: cost 8 inf + 0 21.284 * * [simplify]: Extracting #2: cost 7 inf + 45 21.284 * * [simplify]: Extracting #3: cost 0 inf + 421 21.284 * [simplify]: Simplified to (* (* PI n) 2) 21.284 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.284 * * * * [progress]: [ 192 / 196 ] simplifiying candidate # 21.285 * [simplify]: Simplifying (* 2 (* n PI)) 21.285 * * [simplify]: iters left: 4 (5 enodes) 21.286 * * [simplify]: iters left: 3 (19 enodes) 21.289 * * [simplify]: iters left: 2 (27 enodes) 21.293 * * [simplify]: iters left: 1 (32 enodes) 21.297 * * [simplify]: Extracting #0: cost 1 inf + 0 21.297 * * [simplify]: Extracting #1: cost 8 inf + 0 21.297 * * [simplify]: Extracting #2: cost 7 inf + 45 21.297 * * [simplify]: Extracting #3: cost 0 inf + 421 21.297 * [simplify]: Simplified to (* (* PI n) 2) 21.297 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.297 * * * * [progress]: [ 193 / 196 ] simplifiying candidate # 21.298 * [simplify]: Simplifying (* 2 (* n PI)) 21.298 * * [simplify]: iters left: 4 (5 enodes) 21.300 * * [simplify]: iters left: 3 (19 enodes) 21.303 * * [simplify]: iters left: 2 (27 enodes) 21.309 * * [simplify]: iters left: 1 (32 enodes) 21.313 * * [simplify]: Extracting #0: cost 1 inf + 0 21.313 * * [simplify]: Extracting #1: cost 8 inf + 0 21.313 * * [simplify]: Extracting #2: cost 7 inf + 45 21.313 * * [simplify]: Extracting #3: cost 0 inf + 421 21.313 * [simplify]: Simplified to (* (* PI n) 2) 21.314 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 21.314 * * * * [progress]: [ 194 / 196 ] simplifiying candidate # 21.314 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 21.314 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.314 * * * * [progress]: [ 195 / 196 ] simplifiying candidate # 21.314 * [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)))))))) 21.314 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.314 * * * * [progress]: [ 196 / 196 ] simplifiying candidate # 21.314 * [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)))))))))))) 21.314 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 21.315 * * * [progress]: adding candidates to table 23.496 * * [progress]: iteration 2 / 4 23.496 * * * [progress]: picking best candidate 23.517 * * * * [pick]: Picked # 23.517 * * * [progress]: localizing error 23.549 * * * [progress]: generating rewritten candidates 23.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 23.557 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 23.572 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 23.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 23.607 * * * [progress]: generating series expansions 23.607 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 23.607 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 23.607 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 23.607 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 23.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 23.607 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 23.607 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.607 * [taylor]: Taking taylor expansion of 1/2 in k 23.607 * [backup-simplify]: Simplify 1/2 into 1/2 23.607 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.607 * [taylor]: Taking taylor expansion of 1 in k 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [taylor]: Taking taylor expansion of k in k 23.607 * [backup-simplify]: Simplify 0 into 0 23.607 * [backup-simplify]: Simplify 1 into 1 23.607 * [taylor]: Taking taylor expansion of (log n) in k 23.607 * [taylor]: Taking taylor expansion of n in k 23.607 * [backup-simplify]: Simplify n into n 23.607 * [backup-simplify]: Simplify (log n) into (log n) 23.608 * [backup-simplify]: Simplify (- 0) into 0 23.608 * [backup-simplify]: Simplify (+ 1 0) into 1 23.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.608 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 23.609 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 23.609 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 23.609 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 23.609 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 23.609 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.609 * [taylor]: Taking taylor expansion of 1/2 in n 23.609 * [backup-simplify]: Simplify 1/2 into 1/2 23.609 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.609 * [taylor]: Taking taylor expansion of 1 in n 23.609 * [backup-simplify]: Simplify 1 into 1 23.609 * [taylor]: Taking taylor expansion of k in n 23.609 * [backup-simplify]: Simplify k into k 23.609 * [taylor]: Taking taylor expansion of (log n) in n 23.609 * [taylor]: Taking taylor expansion of n in n 23.609 * [backup-simplify]: Simplify 0 into 0 23.609 * [backup-simplify]: Simplify 1 into 1 23.609 * [backup-simplify]: Simplify (log 1) into 0 23.609 * [backup-simplify]: Simplify (- k) into (- k) 23.609 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.609 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.609 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 23.610 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 23.610 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 23.610 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 23.610 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 23.610 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 23.610 * [taylor]: Taking taylor expansion of 1/2 in n 23.610 * [backup-simplify]: Simplify 1/2 into 1/2 23.610 * [taylor]: Taking taylor expansion of (- 1 k) in n 23.610 * [taylor]: Taking taylor expansion of 1 in n 23.610 * [backup-simplify]: Simplify 1 into 1 23.610 * [taylor]: Taking taylor expansion of k in n 23.610 * [backup-simplify]: Simplify k into k 23.610 * [taylor]: Taking taylor expansion of (log n) in n 23.610 * [taylor]: Taking taylor expansion of n in n 23.610 * [backup-simplify]: Simplify 0 into 0 23.610 * [backup-simplify]: Simplify 1 into 1 23.610 * [backup-simplify]: Simplify (log 1) into 0 23.610 * [backup-simplify]: Simplify (- k) into (- k) 23.610 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 23.610 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 23.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.610 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 23.611 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 23.611 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 23.611 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 23.611 * [taylor]: Taking taylor expansion of 1/2 in k 23.611 * [backup-simplify]: Simplify 1/2 into 1/2 23.611 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 23.611 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.611 * [taylor]: Taking taylor expansion of 1 in k 23.611 * [backup-simplify]: Simplify 1 into 1 23.611 * [taylor]: Taking taylor expansion of k in k 23.611 * [backup-simplify]: Simplify 0 into 0 23.611 * [backup-simplify]: Simplify 1 into 1 23.611 * [taylor]: Taking taylor expansion of (log n) in k 23.611 * [taylor]: Taking taylor expansion of n in k 23.611 * [backup-simplify]: Simplify n into n 23.611 * [backup-simplify]: Simplify (log n) into (log n) 23.611 * [backup-simplify]: Simplify (- 0) into 0 23.611 * [backup-simplify]: Simplify (+ 1 0) into 1 23.611 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 23.612 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 23.612 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 23.612 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 23.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 23.613 * [backup-simplify]: Simplify (- 0) into 0 23.613 * [backup-simplify]: Simplify (+ 0 0) into 0 23.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 23.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.614 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 23.614 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 23.614 * [taylor]: Taking taylor expansion of 0 in k 23.614 * [backup-simplify]: Simplify 0 into 0 23.614 * [backup-simplify]: Simplify 0 into 0 23.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 23.615 * [backup-simplify]: Simplify (- 1) into -1 23.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.615 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 23.615 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 23.616 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 23.616 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 23.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 23.619 * [backup-simplify]: Simplify (- 0) into 0 23.619 * [backup-simplify]: Simplify (+ 0 0) into 0 23.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 23.620 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 23.621 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 23.622 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.622 * [taylor]: Taking taylor expansion of 0 in k 23.622 * [backup-simplify]: Simplify 0 into 0 23.622 * [backup-simplify]: Simplify 0 into 0 23.622 * [backup-simplify]: Simplify 0 into 0 23.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 23.624 * [backup-simplify]: Simplify (- 0) into 0 23.625 * [backup-simplify]: Simplify (+ 0 0) into 0 23.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 23.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 23.627 * [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))) 23.627 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 23.628 * [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)))) 23.628 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 23.628 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 23.628 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 23.628 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 23.628 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 23.628 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.628 * [taylor]: Taking taylor expansion of 1/2 in k 23.628 * [backup-simplify]: Simplify 1/2 into 1/2 23.628 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.628 * [taylor]: Taking taylor expansion of 1 in k 23.628 * [backup-simplify]: Simplify 1 into 1 23.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.628 * [taylor]: Taking taylor expansion of k in k 23.628 * [backup-simplify]: Simplify 0 into 0 23.628 * [backup-simplify]: Simplify 1 into 1 23.629 * [backup-simplify]: Simplify (/ 1 1) into 1 23.629 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 23.629 * [taylor]: Taking taylor expansion of (/ 1 n) in k 23.629 * [taylor]: Taking taylor expansion of n in k 23.629 * [backup-simplify]: Simplify n into n 23.629 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.629 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 23.629 * [backup-simplify]: Simplify (- 1) into -1 23.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.630 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.630 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 23.630 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 23.630 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 23.630 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 23.630 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 23.630 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.630 * [taylor]: Taking taylor expansion of 1/2 in n 23.630 * [backup-simplify]: Simplify 1/2 into 1/2 23.630 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.631 * [taylor]: Taking taylor expansion of 1 in n 23.631 * [backup-simplify]: Simplify 1 into 1 23.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.631 * [taylor]: Taking taylor expansion of k in n 23.631 * [backup-simplify]: Simplify k into k 23.631 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.631 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 23.631 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.631 * [taylor]: Taking taylor expansion of n in n 23.631 * [backup-simplify]: Simplify 0 into 0 23.631 * [backup-simplify]: Simplify 1 into 1 23.631 * [backup-simplify]: Simplify (/ 1 1) into 1 23.632 * [backup-simplify]: Simplify (log 1) into 0 23.632 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.632 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.632 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.632 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.632 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 23.633 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.633 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 23.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 23.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 23.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 23.633 * [taylor]: Taking taylor expansion of 1/2 in n 23.633 * [backup-simplify]: Simplify 1/2 into 1/2 23.633 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 23.633 * [taylor]: Taking taylor expansion of 1 in n 23.633 * [backup-simplify]: Simplify 1 into 1 23.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.633 * [taylor]: Taking taylor expansion of k in n 23.633 * [backup-simplify]: Simplify k into k 23.633 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.633 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 23.633 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.633 * [taylor]: Taking taylor expansion of n in n 23.633 * [backup-simplify]: Simplify 0 into 0 23.633 * [backup-simplify]: Simplify 1 into 1 23.634 * [backup-simplify]: Simplify (/ 1 1) into 1 23.634 * [backup-simplify]: Simplify (log 1) into 0 23.634 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 23.634 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 23.634 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 23.635 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.635 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 23.635 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.635 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 23.635 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 23.635 * [taylor]: Taking taylor expansion of -1/2 in k 23.635 * [backup-simplify]: Simplify -1/2 into -1/2 23.635 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 23.635 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.635 * [taylor]: Taking taylor expansion of 1 in k 23.636 * [backup-simplify]: Simplify 1 into 1 23.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.636 * [taylor]: Taking taylor expansion of k in k 23.636 * [backup-simplify]: Simplify 0 into 0 23.636 * [backup-simplify]: Simplify 1 into 1 23.636 * [backup-simplify]: Simplify (/ 1 1) into 1 23.636 * [taylor]: Taking taylor expansion of (log n) in k 23.636 * [taylor]: Taking taylor expansion of n in k 23.636 * [backup-simplify]: Simplify n into n 23.636 * [backup-simplify]: Simplify (log n) into (log n) 23.637 * [backup-simplify]: Simplify (- 1) into -1 23.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.637 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 23.637 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 23.638 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.638 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 23.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 23.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.641 * [backup-simplify]: Simplify (- 0) into 0 23.641 * [backup-simplify]: Simplify (+ 0 0) into 0 23.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 23.642 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.642 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 23.643 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 23.643 * [taylor]: Taking taylor expansion of 0 in k 23.643 * [backup-simplify]: Simplify 0 into 0 23.643 * [backup-simplify]: Simplify 0 into 0 23.643 * [backup-simplify]: Simplify 0 into 0 23.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 23.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.652 * [backup-simplify]: Simplify (- 0) into 0 23.652 * [backup-simplify]: Simplify (+ 0 0) into 0 23.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 23.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.654 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 23.655 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.655 * [taylor]: Taking taylor expansion of 0 in k 23.655 * [backup-simplify]: Simplify 0 into 0 23.655 * [backup-simplify]: Simplify 0 into 0 23.655 * [backup-simplify]: Simplify 0 into 0 23.655 * [backup-simplify]: Simplify 0 into 0 23.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.661 * [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 23.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.662 * [backup-simplify]: Simplify (- 0) into 0 23.662 * [backup-simplify]: Simplify (+ 0 0) into 0 23.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 23.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 23.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 23.666 * [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 23.666 * [taylor]: Taking taylor expansion of 0 in k 23.667 * [backup-simplify]: Simplify 0 into 0 23.667 * [backup-simplify]: Simplify 0 into 0 23.667 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 23.667 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 23.667 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 23.667 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 23.667 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 23.667 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 23.667 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.667 * [taylor]: Taking taylor expansion of 1/2 in k 23.667 * [backup-simplify]: Simplify 1/2 into 1/2 23.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.667 * [taylor]: Taking taylor expansion of k in k 23.667 * [backup-simplify]: Simplify 0 into 0 23.667 * [backup-simplify]: Simplify 1 into 1 23.668 * [backup-simplify]: Simplify (/ 1 1) into 1 23.668 * [taylor]: Taking taylor expansion of 1 in k 23.668 * [backup-simplify]: Simplify 1 into 1 23.668 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 23.668 * [taylor]: Taking taylor expansion of (/ -1 n) in k 23.668 * [taylor]: Taking taylor expansion of -1 in k 23.668 * [backup-simplify]: Simplify -1 into -1 23.668 * [taylor]: Taking taylor expansion of n in k 23.668 * [backup-simplify]: Simplify n into n 23.668 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 23.668 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 23.669 * [backup-simplify]: Simplify (+ 1 0) into 1 23.669 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.669 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 23.669 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 23.669 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 23.669 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 23.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 23.669 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.669 * [taylor]: Taking taylor expansion of 1/2 in n 23.669 * [backup-simplify]: Simplify 1/2 into 1/2 23.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.670 * [taylor]: Taking taylor expansion of k in n 23.670 * [backup-simplify]: Simplify k into k 23.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.670 * [taylor]: Taking taylor expansion of 1 in n 23.670 * [backup-simplify]: Simplify 1 into 1 23.670 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 23.670 * [taylor]: Taking taylor expansion of (/ -1 n) in n 23.670 * [taylor]: Taking taylor expansion of -1 in n 23.670 * [backup-simplify]: Simplify -1 into -1 23.670 * [taylor]: Taking taylor expansion of n in n 23.670 * [backup-simplify]: Simplify 0 into 0 23.670 * [backup-simplify]: Simplify 1 into 1 23.670 * [backup-simplify]: Simplify (/ -1 1) into -1 23.671 * [backup-simplify]: Simplify (log -1) into (log -1) 23.671 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.671 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.672 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 23.673 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.673 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 23.673 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 23.673 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 23.673 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 23.673 * [taylor]: Taking taylor expansion of 1/2 in n 23.673 * [backup-simplify]: Simplify 1/2 into 1/2 23.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 23.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 23.673 * [taylor]: Taking taylor expansion of k in n 23.673 * [backup-simplify]: Simplify k into k 23.673 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 23.673 * [taylor]: Taking taylor expansion of 1 in n 23.673 * [backup-simplify]: Simplify 1 into 1 23.673 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 23.673 * [taylor]: Taking taylor expansion of (/ -1 n) in n 23.673 * [taylor]: Taking taylor expansion of -1 in n 23.673 * [backup-simplify]: Simplify -1 into -1 23.673 * [taylor]: Taking taylor expansion of n in n 23.673 * [backup-simplify]: Simplify 0 into 0 23.673 * [backup-simplify]: Simplify 1 into 1 23.674 * [backup-simplify]: Simplify (/ -1 1) into -1 23.674 * [backup-simplify]: Simplify (log -1) into (log -1) 23.674 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 23.674 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 23.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.675 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 23.676 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.676 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 23.676 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 23.676 * [taylor]: Taking taylor expansion of 1/2 in k 23.676 * [backup-simplify]: Simplify 1/2 into 1/2 23.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 23.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.676 * [taylor]: Taking taylor expansion of k in k 23.676 * [backup-simplify]: Simplify 0 into 0 23.676 * [backup-simplify]: Simplify 1 into 1 23.677 * [backup-simplify]: Simplify (/ 1 1) into 1 23.677 * [taylor]: Taking taylor expansion of 1 in k 23.677 * [backup-simplify]: Simplify 1 into 1 23.677 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 23.677 * [taylor]: Taking taylor expansion of (log -1) in k 23.677 * [taylor]: Taking taylor expansion of -1 in k 23.677 * [backup-simplify]: Simplify -1 into -1 23.677 * [backup-simplify]: Simplify (log -1) into (log -1) 23.677 * [taylor]: Taking taylor expansion of (log n) in k 23.677 * [taylor]: Taking taylor expansion of n in k 23.677 * [backup-simplify]: Simplify n into n 23.677 * [backup-simplify]: Simplify (log n) into (log n) 23.678 * [backup-simplify]: Simplify (+ 1 0) into 1 23.678 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 23.678 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 23.679 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 23.679 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 23.680 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.680 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 23.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 23.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 23.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 23.682 * [backup-simplify]: Simplify (+ 0 0) into 0 23.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 23.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.683 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 23.684 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 23.684 * [taylor]: Taking taylor expansion of 0 in k 23.684 * [backup-simplify]: Simplify 0 into 0 23.684 * [backup-simplify]: Simplify 0 into 0 23.684 * [backup-simplify]: Simplify 0 into 0 23.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 23.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.687 * [backup-simplify]: Simplify (+ 0 0) into 0 23.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 23.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.688 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 23.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 23.689 * [taylor]: Taking taylor expansion of 0 in k 23.689 * [backup-simplify]: Simplify 0 into 0 23.689 * [backup-simplify]: Simplify 0 into 0 23.689 * [backup-simplify]: Simplify 0 into 0 23.689 * [backup-simplify]: Simplify 0 into 0 23.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.693 * [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 23.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 23.693 * [backup-simplify]: Simplify (+ 0 0) into 0 23.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 23.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 23.695 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 23.696 * [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 23.696 * [taylor]: Taking taylor expansion of 0 in k 23.696 * [backup-simplify]: Simplify 0 into 0 23.697 * [backup-simplify]: Simplify 0 into 0 23.697 * [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)))))) 23.697 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 23.697 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 23.697 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 23.697 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 23.697 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 23.697 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 23.697 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.697 * [taylor]: Taking taylor expansion of 1/2 in k 23.697 * [backup-simplify]: Simplify 1/2 into 1/2 23.697 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.697 * [taylor]: Taking taylor expansion of 1 in k 23.697 * [backup-simplify]: Simplify 1 into 1 23.698 * [taylor]: Taking taylor expansion of k in k 23.698 * [backup-simplify]: Simplify 0 into 0 23.698 * [backup-simplify]: Simplify 1 into 1 23.698 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.698 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.698 * [taylor]: Taking taylor expansion of 2 in k 23.698 * [backup-simplify]: Simplify 2 into 2 23.698 * [taylor]: Taking taylor expansion of PI in k 23.698 * [backup-simplify]: Simplify PI into PI 23.698 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.698 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.699 * [backup-simplify]: Simplify (- 0) into 0 23.699 * [backup-simplify]: Simplify (+ 1 0) into 1 23.699 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.700 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.702 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 23.702 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 23.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 23.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 23.702 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.702 * [taylor]: Taking taylor expansion of 1/2 in k 23.702 * [backup-simplify]: Simplify 1/2 into 1/2 23.702 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.702 * [taylor]: Taking taylor expansion of 1 in k 23.702 * [backup-simplify]: Simplify 1 into 1 23.702 * [taylor]: Taking taylor expansion of k in k 23.702 * [backup-simplify]: Simplify 0 into 0 23.702 * [backup-simplify]: Simplify 1 into 1 23.702 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.702 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.702 * [taylor]: Taking taylor expansion of 2 in k 23.702 * [backup-simplify]: Simplify 2 into 2 23.702 * [taylor]: Taking taylor expansion of PI in k 23.702 * [backup-simplify]: Simplify PI into PI 23.702 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.703 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.703 * [backup-simplify]: Simplify (- 0) into 0 23.703 * [backup-simplify]: Simplify (+ 1 0) into 1 23.704 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.705 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.706 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 23.707 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 23.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.709 * [backup-simplify]: Simplify (- 1) into -1 23.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.710 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 23.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 23.725 * [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)))) 23.729 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 23.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.733 * [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 23.733 * [backup-simplify]: Simplify (- 0) into 0 23.733 * [backup-simplify]: Simplify (+ 0 0) into 0 23.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 23.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 23.743 * [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))) 23.745 * [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))) 23.752 * [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)))) 23.753 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 23.753 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 23.753 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 23.753 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 23.753 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 23.753 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.753 * [taylor]: Taking taylor expansion of 1/2 in k 23.753 * [backup-simplify]: Simplify 1/2 into 1/2 23.753 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.753 * [taylor]: Taking taylor expansion of 1 in k 23.753 * [backup-simplify]: Simplify 1 into 1 23.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.753 * [taylor]: Taking taylor expansion of k in k 23.753 * [backup-simplify]: Simplify 0 into 0 23.753 * [backup-simplify]: Simplify 1 into 1 23.753 * [backup-simplify]: Simplify (/ 1 1) into 1 23.753 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.753 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.753 * [taylor]: Taking taylor expansion of 2 in k 23.753 * [backup-simplify]: Simplify 2 into 2 23.753 * [taylor]: Taking taylor expansion of PI in k 23.753 * [backup-simplify]: Simplify PI into PI 23.753 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.759 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.759 * [backup-simplify]: Simplify (- 1) into -1 23.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.760 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.761 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 23.761 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 23.761 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 23.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 23.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 23.761 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 23.761 * [taylor]: Taking taylor expansion of 1/2 in k 23.761 * [backup-simplify]: Simplify 1/2 into 1/2 23.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 23.762 * [taylor]: Taking taylor expansion of 1 in k 23.762 * [backup-simplify]: Simplify 1 into 1 23.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.762 * [taylor]: Taking taylor expansion of k in k 23.762 * [backup-simplify]: Simplify 0 into 0 23.762 * [backup-simplify]: Simplify 1 into 1 23.762 * [backup-simplify]: Simplify (/ 1 1) into 1 23.762 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.762 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.762 * [taylor]: Taking taylor expansion of 2 in k 23.762 * [backup-simplify]: Simplify 2 into 2 23.762 * [taylor]: Taking taylor expansion of PI in k 23.762 * [backup-simplify]: Simplify PI into PI 23.762 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.763 * [backup-simplify]: Simplify (- 1) into -1 23.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.764 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 23.765 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 23.765 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 23.766 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 23.766 * [backup-simplify]: Simplify 0 into 0 23.766 * [backup-simplify]: Simplify 0 into 0 23.766 * [backup-simplify]: Simplify 0 into 0 23.766 * [backup-simplify]: Simplify 0 into 0 23.766 * [backup-simplify]: Simplify 0 into 0 23.766 * [backup-simplify]: Simplify 0 into 0 23.767 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 23.767 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 23.767 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 23.767 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 23.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 23.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 23.767 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.767 * [taylor]: Taking taylor expansion of 1/2 in k 23.767 * [backup-simplify]: Simplify 1/2 into 1/2 23.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.767 * [taylor]: Taking taylor expansion of k in k 23.767 * [backup-simplify]: Simplify 0 into 0 23.767 * [backup-simplify]: Simplify 1 into 1 23.768 * [backup-simplify]: Simplify (/ 1 1) into 1 23.768 * [taylor]: Taking taylor expansion of 1 in k 23.768 * [backup-simplify]: Simplify 1 into 1 23.768 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.768 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.768 * [taylor]: Taking taylor expansion of 2 in k 23.768 * [backup-simplify]: Simplify 2 into 2 23.768 * [taylor]: Taking taylor expansion of PI in k 23.768 * [backup-simplify]: Simplify PI into PI 23.768 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.769 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.769 * [backup-simplify]: Simplify (+ 1 0) into 1 23.769 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.770 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.771 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 23.771 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 23.771 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 23.771 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 23.771 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 23.771 * [taylor]: Taking taylor expansion of 1/2 in k 23.771 * [backup-simplify]: Simplify 1/2 into 1/2 23.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 23.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.771 * [taylor]: Taking taylor expansion of k in k 23.771 * [backup-simplify]: Simplify 0 into 0 23.771 * [backup-simplify]: Simplify 1 into 1 23.771 * [backup-simplify]: Simplify (/ 1 1) into 1 23.771 * [taylor]: Taking taylor expansion of 1 in k 23.771 * [backup-simplify]: Simplify 1 into 1 23.771 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.771 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.771 * [taylor]: Taking taylor expansion of 2 in k 23.771 * [backup-simplify]: Simplify 2 into 2 23.771 * [taylor]: Taking taylor expansion of PI in k 23.771 * [backup-simplify]: Simplify PI into PI 23.772 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.772 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.772 * [backup-simplify]: Simplify (+ 1 0) into 1 23.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.774 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.774 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 23.775 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 23.775 * [backup-simplify]: Simplify 0 into 0 23.775 * [backup-simplify]: Simplify 0 into 0 23.775 * [backup-simplify]: Simplify 0 into 0 23.775 * [backup-simplify]: Simplify 0 into 0 23.775 * [backup-simplify]: Simplify 0 into 0 23.775 * [backup-simplify]: Simplify 0 into 0 23.776 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 23.776 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 23.776 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 23.776 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 23.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.776 * [taylor]: Taking taylor expansion of k in k 23.776 * [backup-simplify]: Simplify 0 into 0 23.776 * [backup-simplify]: Simplify 1 into 1 23.776 * [backup-simplify]: Simplify (/ 1 1) into 1 23.777 * [backup-simplify]: Simplify (sqrt 0) into 0 23.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.778 * [taylor]: Taking taylor expansion of k in k 23.778 * [backup-simplify]: Simplify 0 into 0 23.778 * [backup-simplify]: Simplify 1 into 1 23.778 * [backup-simplify]: Simplify (/ 1 1) into 1 23.778 * [backup-simplify]: Simplify (sqrt 0) into 0 23.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.779 * [backup-simplify]: Simplify 0 into 0 23.779 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.784 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.784 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 23.784 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 23.784 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 23.784 * [taylor]: Taking taylor expansion of (sqrt k) in k 23.784 * [taylor]: Taking taylor expansion of k in k 23.784 * [backup-simplify]: Simplify 0 into 0 23.784 * [backup-simplify]: Simplify 1 into 1 23.785 * [backup-simplify]: Simplify (sqrt 0) into 0 23.785 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.785 * [taylor]: Taking taylor expansion of (sqrt k) in k 23.785 * [taylor]: Taking taylor expansion of k in k 23.785 * [backup-simplify]: Simplify 0 into 0 23.785 * [backup-simplify]: Simplify 1 into 1 23.786 * [backup-simplify]: Simplify (sqrt 0) into 0 23.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.786 * [backup-simplify]: Simplify 0 into 0 23.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.788 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.791 * [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)))))))) 23.791 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 23.791 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 23.791 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 23.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 23.791 * [taylor]: Taking taylor expansion of (/ -1 k) in k 23.791 * [taylor]: Taking taylor expansion of -1 in k 23.791 * [backup-simplify]: Simplify -1 into -1 23.791 * [taylor]: Taking taylor expansion of k in k 23.791 * [backup-simplify]: Simplify 0 into 0 23.791 * [backup-simplify]: Simplify 1 into 1 23.792 * [backup-simplify]: Simplify (/ -1 1) into -1 23.792 * [backup-simplify]: Simplify (sqrt 0) into 0 23.793 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 23.793 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 23.793 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 23.793 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 23.793 * [taylor]: Taking taylor expansion of (/ -1 k) in k 23.793 * [taylor]: Taking taylor expansion of -1 in k 23.793 * [backup-simplify]: Simplify -1 into -1 23.793 * [taylor]: Taking taylor expansion of k in k 23.793 * [backup-simplify]: Simplify 0 into 0 23.793 * [backup-simplify]: Simplify 1 into 1 23.794 * [backup-simplify]: Simplify (/ -1 1) into -1 23.794 * [backup-simplify]: Simplify (sqrt 0) into 0 23.795 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 23.795 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 23.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 23.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 23.797 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.798 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 23.799 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 23.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.804 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 23.804 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 23.804 * [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))))) 23.805 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 23.805 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 23.805 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 23.805 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 23.805 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 23.805 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 23.805 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 23.805 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.805 * [taylor]: Taking taylor expansion of 1/2 in k 23.805 * [backup-simplify]: Simplify 1/2 into 1/2 23.805 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.805 * [taylor]: Taking taylor expansion of 1 in k 23.805 * [backup-simplify]: Simplify 1 into 1 23.805 * [taylor]: Taking taylor expansion of k in k 23.805 * [backup-simplify]: Simplify 0 into 0 23.805 * [backup-simplify]: Simplify 1 into 1 23.805 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.805 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.805 * [taylor]: Taking taylor expansion of 2 in k 23.805 * [backup-simplify]: Simplify 2 into 2 23.805 * [taylor]: Taking taylor expansion of PI in k 23.805 * [backup-simplify]: Simplify PI into PI 23.806 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.806 * [backup-simplify]: Simplify (- 0) into 0 23.807 * [backup-simplify]: Simplify (+ 1 0) into 1 23.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.808 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.809 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 23.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.809 * [taylor]: Taking taylor expansion of k in k 23.809 * [backup-simplify]: Simplify 0 into 0 23.809 * [backup-simplify]: Simplify 1 into 1 23.810 * [backup-simplify]: Simplify (/ 1 1) into 1 23.810 * [backup-simplify]: Simplify (sqrt 0) into 0 23.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.811 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 23.811 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 23.811 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 23.811 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 23.811 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 23.811 * [taylor]: Taking taylor expansion of 1/2 in k 23.811 * [backup-simplify]: Simplify 1/2 into 1/2 23.811 * [taylor]: Taking taylor expansion of (- 1 k) in k 23.811 * [taylor]: Taking taylor expansion of 1 in k 23.811 * [backup-simplify]: Simplify 1 into 1 23.811 * [taylor]: Taking taylor expansion of k in k 23.811 * [backup-simplify]: Simplify 0 into 0 23.811 * [backup-simplify]: Simplify 1 into 1 23.811 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 23.811 * [taylor]: Taking taylor expansion of (* 2 PI) in k 23.811 * [taylor]: Taking taylor expansion of 2 in k 23.811 * [backup-simplify]: Simplify 2 into 2 23.811 * [taylor]: Taking taylor expansion of PI in k 23.811 * [backup-simplify]: Simplify PI into PI 23.811 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 23.812 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 23.812 * [backup-simplify]: Simplify (- 0) into 0 23.813 * [backup-simplify]: Simplify (+ 1 0) into 1 23.813 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 23.815 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 23.817 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 23.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 23.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 23.817 * [taylor]: Taking taylor expansion of k in k 23.817 * [backup-simplify]: Simplify 0 into 0 23.817 * [backup-simplify]: Simplify 1 into 1 23.818 * [backup-simplify]: Simplify (/ 1 1) into 1 23.818 * [backup-simplify]: Simplify (sqrt 0) into 0 23.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 23.820 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/2) 0) into 0 23.820 * [backup-simplify]: Simplify 0 into 0 23.821 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 23.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 23.823 * [backup-simplify]: Simplify (- 1) into -1 23.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.825 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 23.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 23.840 * [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)))) 23.845 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 23.849 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 23.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 23.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 23.857 * [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 23.857 * [backup-simplify]: Simplify (- 0) into 0 23.857 * [backup-simplify]: Simplify (+ 0 0) into 0 23.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 23.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 23.880 * [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))) 23.895 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) 23.908 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) 23.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 23.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.920 * [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 23.920 * [backup-simplify]: Simplify (- 0) into 0 23.921 * [backup-simplify]: Simplify (+ 0 0) into 0 23.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 23.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 23.943 * [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))) 23.973 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) 24.001 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) 24.044 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))) 24.044 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 24.044 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 24.044 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.044 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.044 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.044 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.044 * [taylor]: Taking taylor expansion of 1/2 in k 24.044 * [backup-simplify]: Simplify 1/2 into 1/2 24.044 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.044 * [taylor]: Taking taylor expansion of 1 in k 24.044 * [backup-simplify]: Simplify 1 into 1 24.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.044 * [taylor]: Taking taylor expansion of k in k 24.044 * [backup-simplify]: Simplify 0 into 0 24.044 * [backup-simplify]: Simplify 1 into 1 24.045 * [backup-simplify]: Simplify (/ 1 1) into 1 24.045 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.045 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.045 * [taylor]: Taking taylor expansion of 2 in k 24.045 * [backup-simplify]: Simplify 2 into 2 24.045 * [taylor]: Taking taylor expansion of PI in k 24.045 * [backup-simplify]: Simplify PI into PI 24.045 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.046 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.046 * [backup-simplify]: Simplify (- 1) into -1 24.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.046 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.047 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.048 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.048 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.048 * [taylor]: Taking taylor expansion of k in k 24.048 * [backup-simplify]: Simplify 0 into 0 24.048 * [backup-simplify]: Simplify 1 into 1 24.048 * [backup-simplify]: Simplify (sqrt 0) into 0 24.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.049 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 24.049 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 24.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 24.049 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 24.049 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 24.049 * [taylor]: Taking taylor expansion of 1/2 in k 24.049 * [backup-simplify]: Simplify 1/2 into 1/2 24.049 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 24.050 * [taylor]: Taking taylor expansion of 1 in k 24.050 * [backup-simplify]: Simplify 1 into 1 24.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.050 * [taylor]: Taking taylor expansion of k in k 24.050 * [backup-simplify]: Simplify 0 into 0 24.050 * [backup-simplify]: Simplify 1 into 1 24.050 * [backup-simplify]: Simplify (/ 1 1) into 1 24.050 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.050 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.050 * [taylor]: Taking taylor expansion of 2 in k 24.050 * [backup-simplify]: Simplify 2 into 2 24.050 * [taylor]: Taking taylor expansion of PI in k 24.050 * [backup-simplify]: Simplify PI into PI 24.050 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.051 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.051 * [backup-simplify]: Simplify (- 1) into -1 24.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.052 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 24.053 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 24.053 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 24.053 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.053 * [taylor]: Taking taylor expansion of k in k 24.053 * [backup-simplify]: Simplify 0 into 0 24.053 * [backup-simplify]: Simplify 1 into 1 24.053 * [backup-simplify]: Simplify (sqrt 0) into 0 24.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.055 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.056 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.057 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.059 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.060 * [backup-simplify]: Simplify (+ (* (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 (* 2 PI))))))) 24.060 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.064 * [backup-simplify]: Simplify (+ (* (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 (* 2 PI))))))) 24.064 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 24.067 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 24.067 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 24.067 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 24.067 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 24.067 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.067 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.067 * [taylor]: Taking taylor expansion of 1/2 in k 24.067 * [backup-simplify]: Simplify 1/2 into 1/2 24.068 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.068 * [taylor]: Taking taylor expansion of k in k 24.068 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify 1 into 1 24.068 * [backup-simplify]: Simplify (/ 1 1) into 1 24.068 * [taylor]: Taking taylor expansion of 1 in k 24.068 * [backup-simplify]: Simplify 1 into 1 24.068 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.068 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.068 * [taylor]: Taking taylor expansion of 2 in k 24.068 * [backup-simplify]: Simplify 2 into 2 24.068 * [taylor]: Taking taylor expansion of PI in k 24.068 * [backup-simplify]: Simplify PI into PI 24.068 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.069 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.069 * [backup-simplify]: Simplify (+ 1 0) into 1 24.069 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.070 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.071 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.071 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.071 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.071 * [taylor]: Taking taylor expansion of -1 in k 24.071 * [backup-simplify]: Simplify -1 into -1 24.071 * [taylor]: Taking taylor expansion of k in k 24.071 * [backup-simplify]: Simplify 0 into 0 24.071 * [backup-simplify]: Simplify 1 into 1 24.071 * [backup-simplify]: Simplify (/ -1 1) into -1 24.072 * [backup-simplify]: Simplify (sqrt 0) into 0 24.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.073 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 24.073 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 24.073 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 24.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 24.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 24.073 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 24.073 * [taylor]: Taking taylor expansion of 1/2 in k 24.073 * [backup-simplify]: Simplify 1/2 into 1/2 24.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 24.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.073 * [taylor]: Taking taylor expansion of k in k 24.073 * [backup-simplify]: Simplify 0 into 0 24.073 * [backup-simplify]: Simplify 1 into 1 24.074 * [backup-simplify]: Simplify (/ 1 1) into 1 24.074 * [taylor]: Taking taylor expansion of 1 in k 24.074 * [backup-simplify]: Simplify 1 into 1 24.074 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 24.074 * [taylor]: Taking taylor expansion of (* 2 PI) in k 24.074 * [taylor]: Taking taylor expansion of 2 in k 24.074 * [backup-simplify]: Simplify 2 into 2 24.074 * [taylor]: Taking taylor expansion of PI in k 24.074 * [backup-simplify]: Simplify PI into PI 24.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 24.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 24.075 * [backup-simplify]: Simplify (+ 1 0) into 1 24.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 24.076 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 24.077 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 24.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.077 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.077 * [taylor]: Taking taylor expansion of -1 in k 24.077 * [backup-simplify]: Simplify -1 into -1 24.077 * [taylor]: Taking taylor expansion of k in k 24.077 * [backup-simplify]: Simplify 0 into 0 24.077 * [backup-simplify]: Simplify 1 into 1 24.077 * [backup-simplify]: Simplify (/ -1 1) into -1 24.078 * [backup-simplify]: Simplify (sqrt 0) into 0 24.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.079 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 24.080 * [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)))))) 24.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 24.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.083 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.084 * [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))))))) 24.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.092 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 24.093 * [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))))))) 24.097 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (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 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))) 24.097 * * * [progress]: simplifying candidates 24.098 * * * * [progress]: [ 1 / 209 ] simplifiying candidate # 24.098 * * * * [progress]: [ 2 / 209 ] simplifiying candidate # 24.098 * * * * [progress]: [ 3 / 209 ] simplifiying candidate # 24.098 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 24.098 * * [simplify]: iters left: 6 (8 enodes) 24.104 * * [simplify]: iters left: 5 (35 enodes) 24.116 * * [simplify]: iters left: 4 (56 enodes) 24.140 * * [simplify]: iters left: 3 (72 enodes) 24.163 * * [simplify]: iters left: 2 (129 enodes) 24.188 * * [simplify]: iters left: 1 (172 enodes) 24.249 * * [simplify]: Extracting #0: cost 1 inf + 0 24.250 * * [simplify]: Extracting #1: cost 17 inf + 0 24.250 * * [simplify]: Extracting #2: cost 42 inf + 3 24.250 * * [simplify]: Extracting #3: cost 29 inf + 1337 24.251 * * [simplify]: Extracting #4: cost 4 inf + 4499 24.252 * * [simplify]: Extracting #5: cost 0 inf + 5037 24.254 * * [simplify]: Extracting #6: cost 0 inf + 5034 24.255 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 24.255 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* 1/2 (- (log n) (* k (log n))))))) 24.255 * * * * [progress]: [ 4 / 209 ] simplifiying candidate # 24.255 * * * * [progress]: [ 5 / 209 ] simplifiying candidate # 24.255 * * * * [progress]: [ 6 / 209 ] simplifiying candidate # 24.256 * [simplify]: Simplifying (pow n (/ k 2)) 24.256 * * [simplify]: iters left: 3 (5 enodes) 24.257 * * [simplify]: iters left: 2 (18 enodes) 24.261 * * [simplify]: iters left: 1 (30 enodes) 24.266 * * [simplify]: Extracting #0: cost 1 inf + 0 24.266 * * [simplify]: Extracting #1: cost 10 inf + 0 24.266 * * [simplify]: Extracting #2: cost 23 inf + 1 24.266 * * [simplify]: Extracting #3: cost 23 inf + 46 24.266 * * [simplify]: Extracting #4: cost 11 inf + 1346 24.267 * * [simplify]: Extracting #5: cost 1 inf + 3938 24.267 * * [simplify]: Extracting #6: cost 0 inf + 4111 24.268 * * [simplify]: Extracting #7: cost 0 inf + 4070 24.268 * [simplify]: Simplified to (pow n (/ k 2)) 24.268 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 24.268 * * * * [progress]: [ 7 / 209 ] simplifiying candidate # 24.268 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 24.268 * * [simplify]: iters left: 5 (6 enodes) 24.271 * * [simplify]: iters left: 4 (26 enodes) 24.276 * * [simplify]: iters left: 3 (35 enodes) 24.282 * * [simplify]: Extracting #0: cost 1 inf + 0 24.282 * * [simplify]: Extracting #1: cost 3 inf + 0 24.282 * * [simplify]: Extracting #2: cost 8 inf + 0 24.282 * * [simplify]: Extracting #3: cost 11 inf + 2 24.282 * * [simplify]: Extracting #4: cost 8 inf + 87 24.282 * * [simplify]: Extracting #5: cost 2 inf + 500 24.283 * * [simplify]: Extracting #6: cost 0 inf + 746 24.283 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 24.283 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 24.283 * * * * [progress]: [ 8 / 209 ] simplifiying candidate # 24.283 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 24.284 * * [simplify]: iters left: 5 (6 enodes) 24.288 * * [simplify]: iters left: 4 (26 enodes) 24.297 * * [simplify]: iters left: 3 (35 enodes) 24.307 * * [simplify]: Extracting #0: cost 1 inf + 0 24.308 * * [simplify]: Extracting #1: cost 3 inf + 0 24.308 * * [simplify]: Extracting #2: cost 8 inf + 0 24.308 * * [simplify]: Extracting #3: cost 11 inf + 2 24.308 * * [simplify]: Extracting #4: cost 8 inf + 87 24.308 * * [simplify]: Extracting #5: cost 2 inf + 460 24.308 * * [simplify]: Extracting #6: cost 0 inf + 666 24.309 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 24.309 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 24.309 * * * * [progress]: [ 9 / 209 ] simplifiying candidate # 24.309 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 24.309 * * [simplify]: iters left: 5 (7 enodes) 24.312 * * [simplify]: iters left: 4 (25 enodes) 24.317 * * [simplify]: iters left: 3 (30 enodes) 24.322 * * [simplify]: Extracting #0: cost 1 inf + 0 24.322 * * [simplify]: Extracting #1: cost 4 inf + 0 24.322 * * [simplify]: Extracting #2: cost 8 inf + 0 24.322 * * [simplify]: Extracting #3: cost 10 inf + 82 24.322 * * [simplify]: Extracting #4: cost 7 inf + 206 24.322 * * [simplify]: Extracting #5: cost 2 inf + 575 24.322 * * [simplify]: Extracting #6: cost 1 inf + 818 24.322 * * [simplify]: Extracting #7: cost 0 inf + 1061 24.322 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 24.322 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 24.323 * * * * [progress]: [ 10 / 209 ] simplifiying candidate # 24.323 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 24.323 * * [simplify]: iters left: 5 (7 enodes) 24.325 * * [simplify]: iters left: 4 (25 enodes) 24.329 * * [simplify]: iters left: 3 (30 enodes) 24.334 * * [simplify]: Extracting #0: cost 1 inf + 0 24.334 * * [simplify]: Extracting #1: cost 4 inf + 0 24.335 * * [simplify]: Extracting #2: cost 8 inf + 0 24.335 * * [simplify]: Extracting #3: cost 10 inf + 42 24.335 * * [simplify]: Extracting #4: cost 7 inf + 126 24.335 * * [simplify]: Extracting #5: cost 2 inf + 495 24.335 * * [simplify]: Extracting #6: cost 1 inf + 698 24.335 * * [simplify]: Extracting #7: cost 0 inf + 901 24.335 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 24.335 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 24.335 * * * * [progress]: [ 11 / 209 ] simplifiying candidate # 24.336 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 24.336 * * [simplify]: iters left: 5 (6 enodes) 24.338 * * [simplify]: iters left: 4 (22 enodes) 24.347 * * [simplify]: iters left: 3 (27 enodes) 24.355 * * [simplify]: Extracting #0: cost 1 inf + 0 24.355 * * [simplify]: Extracting #1: cost 4 inf + 0 24.355 * * [simplify]: Extracting #2: cost 5 inf + 1 24.355 * * [simplify]: Extracting #3: cost 9 inf + 1 24.355 * * [simplify]: Extracting #4: cost 8 inf + 3 24.355 * * [simplify]: Extracting #5: cost 4 inf + 169 24.356 * * [simplify]: Extracting #6: cost 1 inf + 576 24.356 * * [simplify]: Extracting #7: cost 0 inf + 739 24.356 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 24.356 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 24.356 * * * * [progress]: [ 12 / 209 ] simplifiying candidate # 24.357 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 24.357 * * [simplify]: iters left: 5 (7 enodes) 24.362 * * [simplify]: iters left: 4 (25 enodes) 24.371 * * [simplify]: iters left: 3 (30 enodes) 24.381 * * [simplify]: Extracting #0: cost 1 inf + 0 24.381 * * [simplify]: Extracting #1: cost 4 inf + 0 24.381 * * [simplify]: Extracting #2: cost 8 inf + 0 24.381 * * [simplify]: Extracting #3: cost 10 inf + 82 24.381 * * [simplify]: Extracting #4: cost 7 inf + 206 24.381 * * [simplify]: Extracting #5: cost 2 inf + 495 24.381 * * [simplify]: Extracting #6: cost 1 inf + 698 24.382 * * [simplify]: Extracting #7: cost 0 inf + 901 24.382 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 24.382 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 24.382 * * * * [progress]: [ 13 / 209 ] simplifiying candidate # 24.383 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 24.383 * * [simplify]: iters left: 5 (7 enodes) 24.387 * * [simplify]: iters left: 4 (25 enodes) 24.395 * * [simplify]: iters left: 3 (30 enodes) 24.405 * * [simplify]: Extracting #0: cost 1 inf + 0 24.405 * * [simplify]: Extracting #1: cost 4 inf + 0 24.405 * * [simplify]: Extracting #2: cost 8 inf + 0 24.405 * * [simplify]: Extracting #3: cost 10 inf + 42 24.405 * * [simplify]: Extracting #4: cost 7 inf + 126 24.405 * * [simplify]: Extracting #5: cost 2 inf + 415 24.405 * * [simplify]: Extracting #6: cost 1 inf + 578 24.406 * * [simplify]: Extracting #7: cost 0 inf + 741 24.406 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 24.406 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 24.406 * * * * [progress]: [ 14 / 209 ] simplifiying candidate # 24.406 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 24.407 * * [simplify]: iters left: 5 (6 enodes) 24.410 * * [simplify]: iters left: 4 (22 enodes) 24.417 * * [simplify]: iters left: 3 (27 enodes) 24.426 * * [simplify]: Extracting #0: cost 1 inf + 0 24.426 * * [simplify]: Extracting #1: cost 4 inf + 0 24.426 * * [simplify]: Extracting #2: cost 5 inf + 1 24.426 * * [simplify]: Extracting #3: cost 9 inf + 1 24.426 * * [simplify]: Extracting #4: cost 8 inf + 3 24.426 * * [simplify]: Extracting #5: cost 4 inf + 169 24.427 * * [simplify]: Extracting #6: cost 1 inf + 456 24.427 * * [simplify]: Extracting #7: cost 0 inf + 579 24.427 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 24.427 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 24.428 * * * * [progress]: [ 15 / 209 ] simplifiying candidate # 24.428 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 24.428 * * [simplify]: iters left: 4 (6 enodes) 24.432 * * [simplify]: iters left: 3 (25 enodes) 24.439 * * [simplify]: iters left: 2 (36 enodes) 24.445 * * [simplify]: iters left: 1 (40 enodes) 24.452 * * [simplify]: Extracting #0: cost 1 inf + 0 24.452 * * [simplify]: Extracting #1: cost 7 inf + 0 24.452 * * [simplify]: Extracting #2: cost 16 inf + 0 24.452 * * [simplify]: Extracting #3: cost 13 inf + 44 24.452 * * [simplify]: Extracting #4: cost 3 inf + 1103 24.452 * * [simplify]: Extracting #5: cost 0 inf + 1469 24.453 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 24.453 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 24.453 * * * * [progress]: [ 16 / 209 ] simplifiying candidate # 24.453 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 24.453 * * [simplify]: iters left: 4 (6 enodes) 24.455 * * [simplify]: iters left: 3 (25 enodes) 24.460 * * [simplify]: iters left: 2 (36 enodes) 24.466 * * [simplify]: iters left: 1 (40 enodes) 24.482 * * [simplify]: Extracting #0: cost 1 inf + 0 24.482 * * [simplify]: Extracting #1: cost 7 inf + 0 24.483 * * [simplify]: Extracting #2: cost 16 inf + 0 24.483 * * [simplify]: Extracting #3: cost 13 inf + 44 24.483 * * [simplify]: Extracting #4: cost 3 inf + 823 24.484 * * [simplify]: Extracting #5: cost 0 inf + 1069 24.484 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 24.484 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 24.484 * * * * [progress]: [ 17 / 209 ] simplifiying candidate # 24.485 * [simplify]: Simplifying (/ (- 1 k) 2) 24.485 * * [simplify]: iters left: 4 (5 enodes) 24.488 * * [simplify]: iters left: 3 (23 enodes) 24.497 * * [simplify]: iters left: 2 (32 enodes) 24.506 * * [simplify]: Extracting #0: cost 1 inf + 0 24.506 * * [simplify]: Extracting #1: cost 6 inf + 0 24.506 * * [simplify]: Extracting #2: cost 9 inf + 2 24.507 * * [simplify]: Extracting #3: cost 6 inf + 87 24.507 * * [simplify]: Extracting #4: cost 0 inf + 420 24.507 * [simplify]: Simplified to (/ (- 1 k) 2) 24.507 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 24.507 * * * * [progress]: [ 18 / 209 ] simplifiying candidate # 24.507 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 24.508 * * [simplify]: iters left: 5 (8 enodes) 24.513 * * [simplify]: iters left: 4 (31 enodes) 24.523 * * [simplify]: iters left: 3 (45 enodes) 24.536 * * [simplify]: iters left: 2 (51 enodes) 24.550 * * [simplify]: iters left: 1 (52 enodes) 24.565 * * [simplify]: Extracting #0: cost 1 inf + 0 24.565 * * [simplify]: Extracting #1: cost 8 inf + 0 24.565 * * [simplify]: Extracting #2: cost 18 inf + 0 24.565 * * [simplify]: Extracting #3: cost 19 inf + 2 24.565 * * [simplify]: Extracting #4: cost 9 inf + 977 24.566 * * [simplify]: Extracting #5: cost 2 inf + 1790 24.566 * * [simplify]: Extracting #6: cost 0 inf + 2195 24.567 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 24.567 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 24.567 * * * * [progress]: [ 19 / 209 ] simplifiying candidate # 24.568 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 24.568 * * [simplify]: iters left: 5 (8 enodes) 24.571 * * [simplify]: iters left: 4 (31 enodes) 24.576 * * [simplify]: iters left: 3 (45 enodes) 24.583 * * [simplify]: iters left: 2 (51 enodes) 24.591 * * [simplify]: iters left: 1 (52 enodes) 24.601 * * [simplify]: Extracting #0: cost 1 inf + 0 24.601 * * [simplify]: Extracting #1: cost 8 inf + 0 24.601 * * [simplify]: Extracting #2: cost 18 inf + 0 24.601 * * [simplify]: Extracting #3: cost 19 inf + 2 24.601 * * [simplify]: Extracting #4: cost 9 inf + 697 24.602 * * [simplify]: Extracting #5: cost 2 inf + 1390 24.603 * * [simplify]: Extracting #6: cost 0 inf + 1715 24.603 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 24.603 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 24.604 * * * * [progress]: [ 20 / 209 ] simplifiying candidate # 24.604 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 24.604 * * [simplify]: iters left: 5 (7 enodes) 24.609 * * [simplify]: iters left: 4 (29 enodes) 24.622 * * [simplify]: iters left: 3 (43 enodes) 24.634 * * [simplify]: iters left: 2 (47 enodes) 24.647 * * [simplify]: Extracting #0: cost 1 inf + 0 24.647 * * [simplify]: Extracting #1: cost 7 inf + 0 24.647 * * [simplify]: Extracting #2: cost 11 inf + 2 24.647 * * [simplify]: Extracting #3: cost 13 inf + 3 24.648 * * [simplify]: Extracting #4: cost 11 inf + 45 24.648 * * [simplify]: Extracting #5: cost 0 inf + 1066 24.648 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 24.649 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 24.649 * * * * [progress]: [ 21 / 209 ] simplifiying candidate # 24.649 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 24.649 * * [simplify]: iters left: 5 (7 enodes) 24.654 * * [simplify]: iters left: 4 (28 enodes) 24.664 * * [simplify]: iters left: 3 (39 enodes) 24.674 * * [simplify]: iters left: 2 (43 enodes) 24.681 * * [simplify]: Extracting #0: cost 1 inf + 0 24.681 * * [simplify]: Extracting #1: cost 7 inf + 0 24.681 * * [simplify]: Extracting #2: cost 16 inf + 0 24.681 * * [simplify]: Extracting #3: cost 15 inf + 164 24.681 * * [simplify]: Extracting #4: cost 13 inf + 287 24.681 * * [simplify]: Extracting #5: cost 5 inf + 1180 24.682 * * [simplify]: Extracting #6: cost 0 inf + 1951 24.682 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 24.682 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 24.682 * * * * [progress]: [ 22 / 209 ] simplifiying candidate # 24.682 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 24.682 * * [simplify]: iters left: 5 (7 enodes) 24.685 * * [simplify]: iters left: 4 (28 enodes) 24.690 * * [simplify]: iters left: 3 (39 enodes) 24.696 * * [simplify]: iters left: 2 (43 enodes) 24.703 * * [simplify]: Extracting #0: cost 1 inf + 0 24.703 * * [simplify]: Extracting #1: cost 7 inf + 0 24.703 * * [simplify]: Extracting #2: cost 16 inf + 0 24.703 * * [simplify]: Extracting #3: cost 15 inf + 84 24.704 * * [simplify]: Extracting #4: cost 13 inf + 167 24.704 * * [simplify]: Extracting #5: cost 5 inf + 900 24.704 * * [simplify]: Extracting #6: cost 0 inf + 1551 24.704 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 24.704 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 24.704 * * * * [progress]: [ 23 / 209 ] simplifiying candidate # 24.705 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 24.705 * * [simplify]: iters left: 5 (6 enodes) 24.707 * * [simplify]: iters left: 4 (26 enodes) 24.715 * * [simplify]: iters left: 3 (35 enodes) 24.726 * * [simplify]: Extracting #0: cost 1 inf + 0 24.726 * * [simplify]: Extracting #1: cost 6 inf + 0 24.726 * * [simplify]: Extracting #2: cost 9 inf + 2 24.726 * * [simplify]: Extracting #3: cost 11 inf + 3 24.726 * * [simplify]: Extracting #4: cost 10 inf + 4 24.726 * * [simplify]: Extracting #5: cost 3 inf + 535 24.727 * * [simplify]: Extracting #6: cost 0 inf + 822 24.727 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 24.727 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 24.727 * * * * [progress]: [ 24 / 209 ] simplifiying candidate # 24.728 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 24.728 * * [simplify]: iters left: 4 (6 enodes) 24.732 * * [simplify]: iters left: 3 (25 enodes) 24.741 * * [simplify]: iters left: 2 (36 enodes) 24.753 * * [simplify]: iters left: 1 (40 enodes) 24.759 * * [simplify]: Extracting #0: cost 1 inf + 0 24.759 * * [simplify]: Extracting #1: cost 7 inf + 0 24.759 * * [simplify]: Extracting #2: cost 16 inf + 0 24.759 * * [simplify]: Extracting #3: cost 13 inf + 44 24.760 * * [simplify]: Extracting #4: cost 3 inf + 1103 24.760 * * [simplify]: Extracting #5: cost 0 inf + 1469 24.760 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 24.760 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 24.760 * * * * [progress]: [ 25 / 209 ] simplifiying candidate # 24.761 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 24.761 * * [simplify]: iters left: 4 (6 enodes) 24.763 * * [simplify]: iters left: 3 (25 enodes) 24.768 * * [simplify]: iters left: 2 (36 enodes) 24.774 * * [simplify]: iters left: 1 (40 enodes) 24.783 * * [simplify]: Extracting #0: cost 1 inf + 0 24.783 * * [simplify]: Extracting #1: cost 7 inf + 0 24.783 * * [simplify]: Extracting #2: cost 16 inf + 0 24.783 * * [simplify]: Extracting #3: cost 13 inf + 44 24.784 * * [simplify]: Extracting #4: cost 3 inf + 823 24.784 * * [simplify]: Extracting #5: cost 0 inf + 1069 24.785 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 24.785 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 24.785 * * * * [progress]: [ 26 / 209 ] simplifiying candidate # 24.785 * [simplify]: Simplifying (/ (- 1 k) 2) 24.785 * * [simplify]: iters left: 4 (5 enodes) 24.789 * * [simplify]: iters left: 3 (23 enodes) 24.797 * * [simplify]: iters left: 2 (32 enodes) 24.807 * * [simplify]: Extracting #0: cost 1 inf + 0 24.807 * * [simplify]: Extracting #1: cost 6 inf + 0 24.807 * * [simplify]: Extracting #2: cost 9 inf + 2 24.807 * * [simplify]: Extracting #3: cost 6 inf + 87 24.807 * * [simplify]: Extracting #4: cost 0 inf + 420 24.807 * [simplify]: Simplified to (/ (- 1 k) 2) 24.807 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 24.808 * * * * [progress]: [ 27 / 209 ] simplifiying candidate # 24.808 * [simplify]: Simplifying (/ (- 1 k) 2) 24.808 * * [simplify]: iters left: 4 (5 enodes) 24.812 * * [simplify]: iters left: 3 (23 enodes) 24.820 * * [simplify]: iters left: 2 (32 enodes) 24.829 * * [simplify]: Extracting #0: cost 1 inf + 0 24.829 * * [simplify]: Extracting #1: cost 6 inf + 0 24.829 * * [simplify]: Extracting #2: cost 9 inf + 2 24.829 * * [simplify]: Extracting #3: cost 6 inf + 87 24.829 * * [simplify]: Extracting #4: cost 0 inf + 420 24.830 * [simplify]: Simplified to (/ (- 1 k) 2) 24.830 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n 1) (/ (- 1 k) 2)))) 24.830 * * * * [progress]: [ 28 / 209 ] simplifiying candidate # 24.830 * [simplify]: Simplifying (/ 1 2) 24.830 * * [simplify]: iters left: 2 (3 enodes) 24.833 * * [simplify]: iters left: 1 (12 enodes) 24.837 * * [simplify]: Extracting #0: cost 1 inf + 0 24.837 * * [simplify]: Extracting #1: cost 0 inf + 1 24.837 * [simplify]: Simplified to 1/2 24.837 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (- 1 k)) 1/2))) 24.837 * * * * [progress]: [ 29 / 209 ] simplifiying candidate # 24.838 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 24.838 * * [simplify]: iters left: 5 (9 enodes) 24.843 * * [simplify]: iters left: 4 (38 enodes) 24.856 * * [simplify]: iters left: 3 (63 enodes) 24.876 * * [simplify]: iters left: 2 (98 enodes) 24.903 * * [simplify]: iters left: 1 (167 enodes) 24.936 * * [simplify]: Extracting #0: cost 1 inf + 0 24.936 * * [simplify]: Extracting #1: cost 13 inf + 0 24.936 * * [simplify]: Extracting #2: cost 54 inf + 1 24.936 * * [simplify]: Extracting #3: cost 87 inf + 5 24.937 * * [simplify]: Extracting #4: cost 68 inf + 1334 24.938 * * [simplify]: Extracting #5: cost 40 inf + 5047 24.940 * * [simplify]: Extracting #6: cost 11 inf + 17686 24.943 * * [simplify]: Extracting #7: cost 0 inf + 25802 24.947 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 24.947 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))))) 24.947 * * * * [progress]: [ 30 / 209 ] simplifiying candidate # 24.947 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 24.947 * * [simplify]: iters left: 5 (8 enodes) 24.950 * * [simplify]: iters left: 4 (35 enodes) 24.956 * * [simplify]: iters left: 3 (56 enodes) 24.968 * * [simplify]: iters left: 2 (89 enodes) 24.986 * * [simplify]: iters left: 1 (175 enodes) 25.021 * * [simplify]: Extracting #0: cost 1 inf + 0 25.021 * * [simplify]: Extracting #1: cost 13 inf + 0 25.021 * * [simplify]: Extracting #2: cost 53 inf + 1 25.021 * * [simplify]: Extracting #3: cost 83 inf + 47 25.022 * * [simplify]: Extracting #4: cost 60 inf + 2914 25.024 * * [simplify]: Extracting #5: cost 14 inf + 15118 25.027 * * [simplify]: Extracting #6: cost 1 inf + 21571 25.030 * * [simplify]: Extracting #7: cost 0 inf + 21783 25.033 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 25.033 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))))) 25.033 * * * * [progress]: [ 31 / 209 ] simplifiying candidate # 25.033 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 25.033 * * [simplify]: iters left: 5 (6 enodes) 25.036 * * [simplify]: iters left: 4 (24 enodes) 25.042 * * [simplify]: iters left: 3 (33 enodes) 25.047 * * [simplify]: Extracting #0: cost 1 inf + 0 25.047 * * [simplify]: Extracting #1: cost 0 inf + 1 25.047 * [simplify]: Simplified to 1 25.047 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* 1 (pow n (/ (- 1 k) 2))))) 25.048 * * * * [progress]: [ 32 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 33 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 34 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 35 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 36 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 37 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 38 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 39 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 40 / 209 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2))))))> 25.048 * * * * [progress]: [ 41 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 42 / 209 ] simplifiying candidate # 25.048 * * * * [progress]: [ 43 / 209 ] simplifiying candidate # 25.048 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 25.048 * * [simplify]: iters left: 6 (10 enodes) 25.051 * * [simplify]: iters left: 5 (42 enodes) 25.059 * * [simplify]: iters left: 4 (71 enodes) 25.072 * * [simplify]: iters left: 3 (127 enodes) 25.101 * * [simplify]: iters left: 2 (262 enodes) 25.215 * * [simplify]: Extracting #0: cost 1 inf + 0 25.215 * * [simplify]: Extracting #1: cost 21 inf + 0 25.216 * * [simplify]: Extracting #2: cost 69 inf + 2 25.216 * * [simplify]: Extracting #3: cost 83 inf + 732 25.218 * * [simplify]: Extracting #4: cost 23 inf + 12023 25.223 * * [simplify]: Extracting #5: cost 0 inf + 17633 25.227 * * [simplify]: Extracting #6: cost 0 inf + 17570 25.232 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 25.232 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))) (pow n (/ (- 1 k) 2)))) 25.232 * * * * [progress]: [ 44 / 209 ] simplifiying candidate # 25.232 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 25.232 * * [simplify]: iters left: 6 (9 enodes) 25.235 * * [simplify]: iters left: 5 (42 enodes) 25.244 * * [simplify]: iters left: 4 (74 enodes) 25.270 * * [simplify]: iters left: 3 (130 enodes) 25.306 * * [simplify]: iters left: 2 (267 enodes) 25.445 * * [simplify]: Extracting #0: cost 1 inf + 0 25.445 * * [simplify]: Extracting #1: cost 21 inf + 0 25.445 * * [simplify]: Extracting #2: cost 71 inf + 2 25.446 * * [simplify]: Extracting #3: cost 90 inf + 354 25.450 * * [simplify]: Extracting #4: cost 35 inf + 8801 25.457 * * [simplify]: Extracting #5: cost 3 inf + 15739 25.466 * * [simplify]: Extracting #6: cost 0 inf + 16238 25.475 * * [simplify]: Extracting #7: cost 0 inf + 16237 25.484 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 25.484 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))) (pow n (/ (- 1 k) 2)))) 25.484 * * * * [progress]: [ 45 / 209 ] simplifiying candidate # 25.484 * * * * [progress]: [ 46 / 209 ] simplifiying candidate # 25.484 * [simplify]: Simplifying (* 2 PI) 25.485 * * [simplify]: iters left: 2 (3 enodes) 25.486 * * [simplify]: iters left: 1 (10 enodes) 25.490 * * [simplify]: Extracting #0: cost 1 inf + 0 25.490 * * [simplify]: Extracting #1: cost 4 inf + 0 25.490 * * [simplify]: Extracting #2: cost 2 inf + 2 25.490 * * [simplify]: Extracting #3: cost 0 inf + 86 25.490 * [simplify]: Simplified to (* 2 PI) 25.490 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 25.490 * * * * [progress]: [ 47 / 209 ] simplifiying candidate # 25.491 * [simplify]: Simplifying (* 2 PI) 25.491 * * [simplify]: iters left: 2 (3 enodes) 25.492 * * [simplify]: iters left: 1 (10 enodes) 25.495 * * [simplify]: Extracting #0: cost 1 inf + 0 25.495 * * [simplify]: Extracting #1: cost 4 inf + 0 25.496 * * [simplify]: Extracting #2: cost 2 inf + 2 25.496 * * [simplify]: Extracting #3: cost 0 inf + 86 25.496 * [simplify]: Simplified to (* 2 PI) 25.496 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 25.496 * * * * [progress]: [ 48 / 209 ] simplifiying candidate # 25.496 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 25.496 * * [simplify]: iters left: 3 (6 enodes) 25.500 * * [simplify]: iters left: 2 (22 enodes) 25.504 * * [simplify]: iters left: 1 (34 enodes) 25.509 * * [simplify]: Extracting #0: cost 1 inf + 0 25.509 * * [simplify]: Extracting #1: cost 10 inf + 0 25.509 * * [simplify]: Extracting #2: cost 26 inf + 0 25.509 * * [simplify]: Extracting #3: cost 23 inf + 128 25.510 * * [simplify]: Extracting #4: cost 10 inf + 1713 25.510 * * [simplify]: Extracting #5: cost 0 inf + 4919 25.511 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 25.511 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2)))) 25.511 * * * * [progress]: [ 49 / 209 ] simplifiying candidate # 25.511 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 25.511 * * [simplify]: iters left: 5 (6 enodes) 25.513 * * [simplify]: iters left: 4 (26 enodes) 25.518 * * [simplify]: iters left: 3 (35 enodes) 25.527 * * [simplify]: Extracting #0: cost 1 inf + 0 25.527 * * [simplify]: Extracting #1: cost 3 inf + 0 25.527 * * [simplify]: Extracting #2: cost 8 inf + 0 25.527 * * [simplify]: Extracting #3: cost 11 inf + 2 25.527 * * [simplify]: Extracting #4: cost 8 inf + 87 25.528 * * [simplify]: Extracting #5: cost 2 inf + 500 25.528 * * [simplify]: Extracting #6: cost 0 inf + 746 25.528 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 25.528 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 25.529 * * * * [progress]: [ 50 / 209 ] simplifiying candidate # 25.529 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 25.529 * * [simplify]: iters left: 5 (6 enodes) 25.533 * * [simplify]: iters left: 4 (26 enodes) 25.542 * * [simplify]: iters left: 3 (35 enodes) 25.552 * * [simplify]: Extracting #0: cost 1 inf + 0 25.552 * * [simplify]: Extracting #1: cost 3 inf + 0 25.552 * * [simplify]: Extracting #2: cost 8 inf + 0 25.553 * * [simplify]: Extracting #3: cost 11 inf + 2 25.553 * * [simplify]: Extracting #4: cost 8 inf + 87 25.553 * * [simplify]: Extracting #5: cost 2 inf + 460 25.553 * * [simplify]: Extracting #6: cost 0 inf + 666 25.554 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 25.554 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 25.554 * * * * [progress]: [ 51 / 209 ] simplifiying candidate # 25.554 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 25.554 * * [simplify]: iters left: 5 (7 enodes) 25.558 * * [simplify]: iters left: 4 (25 enodes) 25.567 * * [simplify]: iters left: 3 (30 enodes) 25.576 * * [simplify]: Extracting #0: cost 1 inf + 0 25.576 * * [simplify]: Extracting #1: cost 4 inf + 0 25.576 * * [simplify]: Extracting #2: cost 8 inf + 0 25.576 * * [simplify]: Extracting #3: cost 10 inf + 82 25.576 * * [simplify]: Extracting #4: cost 7 inf + 206 25.576 * * [simplify]: Extracting #5: cost 2 inf + 575 25.577 * * [simplify]: Extracting #6: cost 1 inf + 818 25.577 * * [simplify]: Extracting #7: cost 0 inf + 1061 25.577 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 25.578 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.578 * * * * [progress]: [ 52 / 209 ] simplifiying candidate # 25.578 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 25.578 * * [simplify]: iters left: 5 (7 enodes) 25.582 * * [simplify]: iters left: 4 (25 enodes) 25.590 * * [simplify]: iters left: 3 (30 enodes) 25.600 * * [simplify]: Extracting #0: cost 1 inf + 0 25.600 * * [simplify]: Extracting #1: cost 4 inf + 0 25.600 * * [simplify]: Extracting #2: cost 8 inf + 0 25.600 * * [simplify]: Extracting #3: cost 10 inf + 42 25.600 * * [simplify]: Extracting #4: cost 7 inf + 126 25.601 * * [simplify]: Extracting #5: cost 2 inf + 495 25.601 * * [simplify]: Extracting #6: cost 1 inf + 698 25.601 * * [simplify]: Extracting #7: cost 0 inf + 901 25.602 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 25.602 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 25.602 * * * * [progress]: [ 53 / 209 ] simplifiying candidate # 25.602 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 25.602 * * [simplify]: iters left: 5 (6 enodes) 25.606 * * [simplify]: iters left: 4 (22 enodes) 25.613 * * [simplify]: iters left: 3 (27 enodes) 25.621 * * [simplify]: Extracting #0: cost 1 inf + 0 25.621 * * [simplify]: Extracting #1: cost 4 inf + 0 25.621 * * [simplify]: Extracting #2: cost 5 inf + 1 25.621 * * [simplify]: Extracting #3: cost 9 inf + 1 25.621 * * [simplify]: Extracting #4: cost 8 inf + 3 25.622 * * [simplify]: Extracting #5: cost 4 inf + 169 25.622 * * [simplify]: Extracting #6: cost 1 inf + 576 25.622 * * [simplify]: Extracting #7: cost 0 inf + 739 25.622 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 25.622 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (pow n (/ (- 1 k) 2)))) 25.623 * * * * [progress]: [ 54 / 209 ] simplifiying candidate # 25.623 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 25.623 * * [simplify]: iters left: 5 (7 enodes) 25.627 * * [simplify]: iters left: 4 (25 enodes) 25.636 * * [simplify]: iters left: 3 (30 enodes) 25.645 * * [simplify]: Extracting #0: cost 1 inf + 0 25.645 * * [simplify]: Extracting #1: cost 4 inf + 0 25.645 * * [simplify]: Extracting #2: cost 8 inf + 0 25.645 * * [simplify]: Extracting #3: cost 10 inf + 82 25.646 * * [simplify]: Extracting #4: cost 7 inf + 206 25.646 * * [simplify]: Extracting #5: cost 2 inf + 495 25.646 * * [simplify]: Extracting #6: cost 1 inf + 698 25.646 * * [simplify]: Extracting #7: cost 0 inf + 901 25.647 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 25.647 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.647 * * * * [progress]: [ 55 / 209 ] simplifiying candidate # 25.647 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 25.647 * * [simplify]: iters left: 5 (7 enodes) 25.650 * * [simplify]: iters left: 4 (25 enodes) 25.654 * * [simplify]: iters left: 3 (30 enodes) 25.659 * * [simplify]: Extracting #0: cost 1 inf + 0 25.659 * * [simplify]: Extracting #1: cost 4 inf + 0 25.659 * * [simplify]: Extracting #2: cost 8 inf + 0 25.659 * * [simplify]: Extracting #3: cost 10 inf + 42 25.659 * * [simplify]: Extracting #4: cost 7 inf + 126 25.659 * * [simplify]: Extracting #5: cost 2 inf + 415 25.660 * * [simplify]: Extracting #6: cost 1 inf + 578 25.660 * * [simplify]: Extracting #7: cost 0 inf + 741 25.660 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 25.660 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 25.660 * * * * [progress]: [ 56 / 209 ] simplifiying candidate # 25.660 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 25.660 * * [simplify]: iters left: 5 (6 enodes) 25.664 * * [simplify]: iters left: 4 (22 enodes) 25.668 * * [simplify]: iters left: 3 (27 enodes) 25.672 * * [simplify]: Extracting #0: cost 1 inf + 0 25.672 * * [simplify]: Extracting #1: cost 4 inf + 0 25.672 * * [simplify]: Extracting #2: cost 5 inf + 1 25.672 * * [simplify]: Extracting #3: cost 9 inf + 1 25.672 * * [simplify]: Extracting #4: cost 8 inf + 3 25.672 * * [simplify]: Extracting #5: cost 4 inf + 169 25.672 * * [simplify]: Extracting #6: cost 1 inf + 456 25.672 * * [simplify]: Extracting #7: cost 0 inf + 579 25.672 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 25.672 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (pow n (/ (- 1 k) 2)))) 25.673 * * * * [progress]: [ 57 / 209 ] simplifiying candidate # 25.673 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 25.673 * * [simplify]: iters left: 4 (6 enodes) 25.675 * * [simplify]: iters left: 3 (25 enodes) 25.679 * * [simplify]: iters left: 2 (36 enodes) 25.685 * * [simplify]: iters left: 1 (40 enodes) 25.694 * * [simplify]: Extracting #0: cost 1 inf + 0 25.694 * * [simplify]: Extracting #1: cost 7 inf + 0 25.694 * * [simplify]: Extracting #2: cost 16 inf + 0 25.694 * * [simplify]: Extracting #3: cost 13 inf + 44 25.695 * * [simplify]: Extracting #4: cost 3 inf + 1103 25.695 * * [simplify]: Extracting #5: cost 0 inf + 1469 25.696 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 25.696 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.696 * * * * [progress]: [ 58 / 209 ] simplifiying candidate # 25.696 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 25.696 * * [simplify]: iters left: 4 (6 enodes) 25.700 * * [simplify]: iters left: 3 (25 enodes) 25.709 * * [simplify]: iters left: 2 (36 enodes) 25.718 * * [simplify]: iters left: 1 (40 enodes) 25.724 * * [simplify]: Extracting #0: cost 1 inf + 0 25.725 * * [simplify]: Extracting #1: cost 7 inf + 0 25.725 * * [simplify]: Extracting #2: cost 16 inf + 0 25.725 * * [simplify]: Extracting #3: cost 13 inf + 44 25.725 * * [simplify]: Extracting #4: cost 3 inf + 823 25.725 * * [simplify]: Extracting #5: cost 0 inf + 1069 25.725 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 25.725 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 25.725 * * * * [progress]: [ 59 / 209 ] simplifiying candidate # 25.726 * [simplify]: Simplifying (/ (- 1 k) 2) 25.726 * * [simplify]: iters left: 4 (5 enodes) 25.728 * * [simplify]: iters left: 3 (23 enodes) 25.732 * * [simplify]: iters left: 2 (32 enodes) 25.737 * * [simplify]: Extracting #0: cost 1 inf + 0 25.737 * * [simplify]: Extracting #1: cost 6 inf + 0 25.737 * * [simplify]: Extracting #2: cost 9 inf + 2 25.737 * * [simplify]: Extracting #3: cost 6 inf + 87 25.737 * * [simplify]: Extracting #4: cost 0 inf + 420 25.737 * [simplify]: Simplified to (/ (- 1 k) 2) 25.737 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 25.737 * * * * [progress]: [ 60 / 209 ] simplifiying candidate # 25.738 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 25.738 * * [simplify]: iters left: 5 (8 enodes) 25.740 * * [simplify]: iters left: 4 (31 enodes) 25.745 * * [simplify]: iters left: 3 (45 enodes) 25.752 * * [simplify]: iters left: 2 (51 enodes) 25.769 * * [simplify]: iters left: 1 (52 enodes) 25.783 * * [simplify]: Extracting #0: cost 1 inf + 0 25.783 * * [simplify]: Extracting #1: cost 8 inf + 0 25.783 * * [simplify]: Extracting #2: cost 18 inf + 0 25.783 * * [simplify]: Extracting #3: cost 19 inf + 2 25.783 * * [simplify]: Extracting #4: cost 9 inf + 977 25.784 * * [simplify]: Extracting #5: cost 2 inf + 1790 25.785 * * [simplify]: Extracting #6: cost 0 inf + 2195 25.785 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 25.785 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.786 * * * * [progress]: [ 61 / 209 ] simplifiying candidate # 25.786 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 25.786 * * [simplify]: iters left: 5 (8 enodes) 25.791 * * [simplify]: iters left: 4 (31 enodes) 25.799 * * [simplify]: iters left: 3 (45 enodes) 25.806 * * [simplify]: iters left: 2 (51 enodes) 25.813 * * [simplify]: iters left: 1 (52 enodes) 25.820 * * [simplify]: Extracting #0: cost 1 inf + 0 25.820 * * [simplify]: Extracting #1: cost 8 inf + 0 25.820 * * [simplify]: Extracting #2: cost 18 inf + 0 25.820 * * [simplify]: Extracting #3: cost 19 inf + 2 25.820 * * [simplify]: Extracting #4: cost 9 inf + 697 25.821 * * [simplify]: Extracting #5: cost 2 inf + 1390 25.821 * * [simplify]: Extracting #6: cost 0 inf + 1715 25.821 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 25.821 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 25.822 * * * * [progress]: [ 62 / 209 ] simplifiying candidate # 25.822 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 25.822 * * [simplify]: iters left: 5 (7 enodes) 25.825 * * [simplify]: iters left: 4 (29 enodes) 25.834 * * [simplify]: iters left: 3 (43 enodes) 25.846 * * [simplify]: iters left: 2 (47 enodes) 25.858 * * [simplify]: Extracting #0: cost 1 inf + 0 25.858 * * [simplify]: Extracting #1: cost 7 inf + 0 25.858 * * [simplify]: Extracting #2: cost 11 inf + 2 25.858 * * [simplify]: Extracting #3: cost 13 inf + 3 25.858 * * [simplify]: Extracting #4: cost 11 inf + 45 25.858 * * [simplify]: Extracting #5: cost 0 inf + 1066 25.859 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 25.859 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow n (/ (- 1 k) 2)))) 25.859 * * * * [progress]: [ 63 / 209 ] simplifiying candidate # 25.859 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 25.860 * * [simplify]: iters left: 5 (7 enodes) 25.864 * * [simplify]: iters left: 4 (28 enodes) 25.874 * * [simplify]: iters left: 3 (39 enodes) 25.886 * * [simplify]: iters left: 2 (43 enodes) 25.902 * * [simplify]: Extracting #0: cost 1 inf + 0 25.902 * * [simplify]: Extracting #1: cost 7 inf + 0 25.903 * * [simplify]: Extracting #2: cost 16 inf + 0 25.903 * * [simplify]: Extracting #3: cost 15 inf + 164 25.903 * * [simplify]: Extracting #4: cost 13 inf + 287 25.903 * * [simplify]: Extracting #5: cost 5 inf + 1180 25.904 * * [simplify]: Extracting #6: cost 0 inf + 1951 25.904 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 25.904 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.905 * * * * [progress]: [ 64 / 209 ] simplifiying candidate # 25.905 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 25.905 * * [simplify]: iters left: 5 (7 enodes) 25.909 * * [simplify]: iters left: 4 (28 enodes) 25.914 * * [simplify]: iters left: 3 (39 enodes) 25.921 * * [simplify]: iters left: 2 (43 enodes) 25.927 * * [simplify]: Extracting #0: cost 1 inf + 0 25.927 * * [simplify]: Extracting #1: cost 7 inf + 0 25.928 * * [simplify]: Extracting #2: cost 16 inf + 0 25.928 * * [simplify]: Extracting #3: cost 15 inf + 84 25.928 * * [simplify]: Extracting #4: cost 13 inf + 167 25.928 * * [simplify]: Extracting #5: cost 5 inf + 900 25.928 * * [simplify]: Extracting #6: cost 0 inf + 1551 25.928 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 25.928 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 25.929 * * * * [progress]: [ 65 / 209 ] simplifiying candidate # 25.929 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 25.929 * * [simplify]: iters left: 5 (6 enodes) 25.931 * * [simplify]: iters left: 4 (26 enodes) 25.936 * * [simplify]: iters left: 3 (35 enodes) 25.946 * * [simplify]: Extracting #0: cost 1 inf + 0 25.946 * * [simplify]: Extracting #1: cost 6 inf + 0 25.946 * * [simplify]: Extracting #2: cost 9 inf + 2 25.946 * * [simplify]: Extracting #3: cost 11 inf + 3 25.946 * * [simplify]: Extracting #4: cost 10 inf + 4 25.946 * * [simplify]: Extracting #5: cost 3 inf + 535 25.946 * * [simplify]: Extracting #6: cost 0 inf + 822 25.947 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 25.947 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (pow n (/ (- 1 k) 2)))) 25.947 * * * * [progress]: [ 66 / 209 ] simplifiying candidate # 25.947 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 25.947 * * [simplify]: iters left: 4 (6 enodes) 25.949 * * [simplify]: iters left: 3 (25 enodes) 25.954 * * [simplify]: iters left: 2 (36 enodes) 25.960 * * [simplify]: iters left: 1 (40 enodes) 25.967 * * [simplify]: Extracting #0: cost 1 inf + 0 25.967 * * [simplify]: Extracting #1: cost 7 inf + 0 25.967 * * [simplify]: Extracting #2: cost 16 inf + 0 25.967 * * [simplify]: Extracting #3: cost 13 inf + 44 25.967 * * [simplify]: Extracting #4: cost 3 inf + 1103 25.967 * * [simplify]: Extracting #5: cost 0 inf + 1469 25.968 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 25.968 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (pow n (/ (- 1 k) 2)))) 25.968 * * * * [progress]: [ 67 / 209 ] simplifiying candidate # 25.968 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 25.968 * * [simplify]: iters left: 4 (6 enodes) 25.970 * * [simplify]: iters left: 3 (25 enodes) 25.977 * * [simplify]: iters left: 2 (36 enodes) 25.989 * * [simplify]: iters left: 1 (40 enodes) 25.999 * * [simplify]: Extracting #0: cost 1 inf + 0 25.999 * * [simplify]: Extracting #1: cost 7 inf + 0 25.999 * * [simplify]: Extracting #2: cost 16 inf + 0 25.999 * * [simplify]: Extracting #3: cost 13 inf + 44 25.999 * * [simplify]: Extracting #4: cost 3 inf + 823 25.999 * * [simplify]: Extracting #5: cost 0 inf + 1069 26.000 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 26.000 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (pow n (/ (- 1 k) 2)))) 26.000 * * * * [progress]: [ 68 / 209 ] simplifiying candidate # 26.000 * [simplify]: Simplifying (/ (- 1 k) 2) 26.000 * * [simplify]: iters left: 4 (5 enodes) 26.002 * * [simplify]: iters left: 3 (23 enodes) 26.009 * * [simplify]: iters left: 2 (32 enodes) 26.014 * * [simplify]: Extracting #0: cost 1 inf + 0 26.014 * * [simplify]: Extracting #1: cost 6 inf + 0 26.014 * * [simplify]: Extracting #2: cost 9 inf + 2 26.014 * * [simplify]: Extracting #3: cost 6 inf + 87 26.014 * * [simplify]: Extracting #4: cost 0 inf + 420 26.014 * [simplify]: Simplified to (/ (- 1 k) 2) 26.014 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.015 * * * * [progress]: [ 69 / 209 ] simplifiying candidate # 26.015 * [simplify]: Simplifying (/ (- 1 k) 2) 26.015 * * [simplify]: iters left: 4 (5 enodes) 26.017 * * [simplify]: iters left: 3 (23 enodes) 26.021 * * [simplify]: iters left: 2 (32 enodes) 26.027 * * [simplify]: Extracting #0: cost 1 inf + 0 26.027 * * [simplify]: Extracting #1: cost 6 inf + 0 26.027 * * [simplify]: Extracting #2: cost 9 inf + 2 26.027 * * [simplify]: Extracting #3: cost 6 inf + 87 26.027 * * [simplify]: Extracting #4: cost 0 inf + 420 26.028 * [simplify]: Simplified to (/ (- 1 k) 2) 26.028 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.028 * * * * [progress]: [ 70 / 209 ] simplifiying candidate # 26.028 * [simplify]: Simplifying (/ 1 2) 26.028 * * [simplify]: iters left: 2 (3 enodes) 26.032 * * [simplify]: iters left: 1 (12 enodes) 26.036 * * [simplify]: Extracting #0: cost 1 inf + 0 26.036 * * [simplify]: Extracting #1: cost 0 inf + 1 26.036 * [simplify]: Simplified to 1/2 26.036 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (- 1 k)) 1/2)) (pow n (/ (- 1 k) 2)))) 26.036 * * * * [progress]: [ 71 / 209 ] simplifiying candidate # 26.036 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 26.036 * * [simplify]: iters left: 5 (6 enodes) 26.039 * * [simplify]: iters left: 4 (29 enodes) 26.044 * * [simplify]: iters left: 3 (54 enodes) 26.054 * * [simplify]: iters left: 2 (85 enodes) 26.074 * * [simplify]: iters left: 1 (153 enodes) 26.138 * * [simplify]: Extracting #0: cost 1 inf + 0 26.139 * * [simplify]: Extracting #1: cost 13 inf + 0 26.139 * * [simplify]: Extracting #2: cost 51 inf + 2 26.139 * * [simplify]: Extracting #3: cost 84 inf + 5 26.141 * * [simplify]: Extracting #4: cost 54 inf + 3194 26.143 * * [simplify]: Extracting #5: cost 29 inf + 7327 26.148 * * [simplify]: Extracting #6: cost 12 inf + 15002 26.151 * * [simplify]: Extracting #7: cost 0 inf + 23100 26.153 * * [simplify]: Extracting #8: cost 0 inf + 22969 26.156 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 26.156 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 26.156 * * * * [progress]: [ 72 / 209 ] simplifiying candidate # 26.156 * * * * [progress]: [ 73 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 74 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 75 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 76 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 77 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 78 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 79 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 80 / 209 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))> 26.157 * * * * [progress]: [ 81 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 82 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 83 / 209 ] simplifiying candidate # 26.157 * * * * [progress]: [ 84 / 209 ] simplifiying candidate # 26.157 * [simplify]: Simplifying (- 1/2) 26.157 * * [simplify]: iters left: 2 (2 enodes) 26.159 * * [simplify]: iters left: 1 (7 enodes) 26.160 * * [simplify]: Extracting #0: cost 1 inf + 0 26.160 * * [simplify]: Extracting #1: cost 0 inf + 1 26.160 * [simplify]: Simplified to -1/2 26.160 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.160 * * * * [progress]: [ 85 / 209 ] simplifiying candidate # 26.160 * [simplify]: Simplifying (- 1) 26.160 * * [simplify]: iters left: 2 (2 enodes) 26.161 * * [simplify]: iters left: 1 (9 enodes) 26.163 * * [simplify]: Extracting #0: cost 1 inf + 0 26.163 * * [simplify]: Extracting #1: cost 0 inf + 1 26.163 * [simplify]: Simplified to -1 26.163 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.163 * * * * [progress]: [ 86 / 209 ] simplifiying candidate # 26.163 * [simplify]: Simplifying (- (/ 1 2)) 26.163 * * [simplify]: iters left: 4 (4 enodes) 26.166 * * [simplify]: iters left: 3 (19 enodes) 26.169 * * [simplify]: iters left: 2 (23 enodes) 26.173 * * [simplify]: Extracting #0: cost 1 inf + 0 26.173 * * [simplify]: Extracting #1: cost 0 inf + 1 26.173 * [simplify]: Simplified to -1/2 26.173 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.173 * * * * [progress]: [ 87 / 209 ] simplifiying candidate # 26.173 * * * * [progress]: [ 88 / 209 ] simplifiying candidate # 26.173 * * * * [progress]: [ 89 / 209 ] simplifiying candidate # 26.173 * [simplify]: Simplifying (- 0 (log (sqrt k))) 26.173 * * [simplify]: iters left: 4 (5 enodes) 26.174 * * [simplify]: iters left: 3 (17 enodes) 26.177 * * [simplify]: iters left: 2 (21 enodes) 26.180 * * [simplify]: iters left: 1 (23 enodes) 26.183 * * [simplify]: Extracting #0: cost 1 inf + 0 26.183 * * [simplify]: Extracting #1: cost 4 inf + 0 26.183 * * [simplify]: Extracting #2: cost 5 inf + 1 26.183 * * [simplify]: Extracting #3: cost 7 inf + 1 26.183 * * [simplify]: Extracting #4: cost 0 inf + 608 26.183 * [simplify]: Simplified to (- (log (sqrt k))) 26.183 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.184 * * * * [progress]: [ 90 / 209 ] simplifiying candidate # 26.184 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 26.184 * * [simplify]: iters left: 4 (6 enodes) 26.186 * * [simplify]: iters left: 3 (22 enodes) 26.189 * * [simplify]: Extracting #0: cost 1 inf + 0 26.189 * * [simplify]: Extracting #1: cost 4 inf + 0 26.189 * * [simplify]: Extracting #2: cost 5 inf + 1 26.189 * * [simplify]: Extracting #3: cost 7 inf + 1 26.189 * * [simplify]: Extracting #4: cost 6 inf + 2 26.189 * * [simplify]: Extracting #5: cost 1 inf + 457 26.189 * * [simplify]: Extracting #6: cost 0 inf + 608 26.189 * [simplify]: Simplified to (- (log (sqrt k))) 26.189 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.189 * * * * [progress]: [ 91 / 209 ] simplifiying candidate # 26.189 * * * * [progress]: [ 92 / 209 ] simplifiying candidate # 26.189 * * * * [progress]: [ 93 / 209 ] simplifiying candidate # 26.190 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 26.190 * * [simplify]: iters left: 6 (8 enodes) 26.192 * * [simplify]: iters left: 5 (26 enodes) 26.195 * * [simplify]: iters left: 4 (43 enodes) 26.202 * * [simplify]: iters left: 3 (59 enodes) 26.217 * * [simplify]: iters left: 2 (67 enodes) 26.233 * * [simplify]: iters left: 1 (69 enodes) 26.250 * * [simplify]: Extracting #0: cost 1 inf + 0 26.250 * * [simplify]: Extracting #1: cost 14 inf + 0 26.250 * * [simplify]: Extracting #2: cost 18 inf + 2 26.251 * * [simplify]: Extracting #3: cost 7 inf + 701 26.252 * * [simplify]: Extracting #4: cost 0 inf + 1234 26.252 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 26.252 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.253 * * * * [progress]: [ 94 / 209 ] simplifiying candidate # 26.253 * * * * [progress]: [ 95 / 209 ] simplifiying candidate # 26.253 * * * * [progress]: [ 96 / 209 ] simplifiying candidate # 26.253 * * * * [progress]: [ 97 / 209 ] simplifiying candidate # 26.253 * * * * [progress]: [ 98 / 209 ] simplifiying candidate # 26.253 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.253 * * [simplify]: iters left: 6 (8 enodes) 26.258 * * [simplify]: iters left: 5 (32 enodes) 26.269 * * [simplify]: iters left: 4 (48 enodes) 26.284 * * [simplify]: iters left: 3 (76 enodes) 26.306 * * [simplify]: iters left: 2 (81 enodes) 26.318 * * [simplify]: Extracting #0: cost 1 inf + 0 26.318 * * [simplify]: Extracting #1: cost 6 inf + 0 26.318 * * [simplify]: Extracting #2: cost 9 inf + 1 26.318 * * [simplify]: Extracting #3: cost 11 inf + 1 26.318 * * [simplify]: Extracting #4: cost 2 inf + 1052 26.319 * * [simplify]: Extracting #5: cost 0 inf + 1376 26.319 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.319 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.320 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 26.320 * * [simplify]: iters left: 4 (6 enodes) 26.323 * * [simplify]: iters left: 3 (20 enodes) 26.329 * * [simplify]: iters left: 2 (22 enodes) 26.335 * * [simplify]: Extracting #0: cost 1 inf + 0 26.336 * * [simplify]: Extracting #1: cost 4 inf + 0 26.336 * * [simplify]: Extracting #2: cost 5 inf + 1 26.336 * * [simplify]: Extracting #3: cost 7 inf + 1 26.336 * * [simplify]: Extracting #4: cost 1 inf + 488 26.336 * * [simplify]: Extracting #5: cost 0 inf + 650 26.336 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 26.336 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.336 * * * * [progress]: [ 99 / 209 ] simplifiying candidate # 26.337 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 26.337 * * [simplify]: iters left: 6 (8 enodes) 26.342 * * [simplify]: iters left: 5 (29 enodes) 26.351 * * [simplify]: iters left: 4 (31 enodes) 26.361 * * [simplify]: Extracting #0: cost 1 inf + 0 26.362 * * [simplify]: Extracting #1: cost 4 inf + 0 26.362 * * [simplify]: Extracting #2: cost 6 inf + 1 26.362 * * [simplify]: Extracting #3: cost 9 inf + 1 26.362 * * [simplify]: Extracting #4: cost 8 inf + 2 26.362 * * [simplify]: Extracting #5: cost 2 inf + 729 26.363 * * [simplify]: Extracting #6: cost 0 inf + 972 26.363 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 26.363 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.363 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 26.363 * * [simplify]: iters left: 4 (6 enodes) 26.367 * * [simplify]: iters left: 3 (20 enodes) 26.373 * * [simplify]: iters left: 2 (22 enodes) 26.379 * * [simplify]: Extracting #0: cost 1 inf + 0 26.379 * * [simplify]: Extracting #1: cost 4 inf + 0 26.379 * * [simplify]: Extracting #2: cost 5 inf + 1 26.379 * * [simplify]: Extracting #3: cost 7 inf + 1 26.379 * * [simplify]: Extracting #4: cost 1 inf + 568 26.380 * * [simplify]: Extracting #5: cost 0 inf + 730 26.380 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 26.380 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.380 * * * * [progress]: [ 100 / 209 ] simplifiying candidate # 26.380 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 26.380 * * [simplify]: iters left: 5 (7 enodes) 26.385 * * [simplify]: iters left: 4 (25 enodes) 26.393 * * [simplify]: iters left: 3 (27 enodes) 26.400 * * [simplify]: Extracting #0: cost 1 inf + 0 26.400 * * [simplify]: Extracting #1: cost 4 inf + 0 26.400 * * [simplify]: Extracting #2: cost 5 inf + 1 26.400 * * [simplify]: Extracting #3: cost 7 inf + 1 26.401 * * [simplify]: Extracting #4: cost 6 inf + 2 26.401 * * [simplify]: Extracting #5: cost 2 inf + 368 26.401 * * [simplify]: Extracting #6: cost 0 inf + 490 26.401 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.401 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.401 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 26.402 * * [simplify]: iters left: 4 (6 enodes) 26.405 * * [simplify]: iters left: 3 (20 enodes) 26.411 * * [simplify]: iters left: 2 (22 enodes) 26.415 * * [simplify]: Extracting #0: cost 1 inf + 0 26.415 * * [simplify]: Extracting #1: cost 4 inf + 0 26.415 * * [simplify]: Extracting #2: cost 5 inf + 1 26.415 * * [simplify]: Extracting #3: cost 7 inf + 1 26.415 * * [simplify]: Extracting #4: cost 1 inf + 368 26.415 * * [simplify]: Extracting #5: cost 0 inf + 490 26.415 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.415 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.415 * * * * [progress]: [ 101 / 209 ] simplifiying candidate # 26.415 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 26.415 * * [simplify]: iters left: 5 (5 enodes) 26.421 * * [simplify]: iters left: 4 (19 enodes) 26.424 * * [simplify]: iters left: 3 (21 enodes) 26.426 * * [simplify]: Extracting #0: cost 1 inf + 0 26.426 * * [simplify]: Extracting #1: cost 0 inf + 1 26.426 * [simplify]: Simplified to 1 26.426 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.427 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 26.427 * * [simplify]: iters left: 3 (5 enodes) 26.429 * * [simplify]: iters left: 2 (17 enodes) 26.431 * * [simplify]: iters left: 1 (19 enodes) 26.434 * * [simplify]: Extracting #0: cost 1 inf + 0 26.434 * * [simplify]: Extracting #1: cost 4 inf + 0 26.434 * * [simplify]: Extracting #2: cost 5 inf + 1 26.434 * * [simplify]: Extracting #3: cost 0 inf + 248 26.434 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.434 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.435 * * * * [progress]: [ 102 / 209 ] simplifiying candidate # 26.435 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 26.435 * * [simplify]: iters left: 5 (7 enodes) 26.438 * * [simplify]: iters left: 4 (25 enodes) 26.442 * * [simplify]: iters left: 3 (27 enodes) 26.446 * * [simplify]: Extracting #0: cost 1 inf + 0 26.446 * * [simplify]: Extracting #1: cost 4 inf + 0 26.446 * * [simplify]: Extracting #2: cost 5 inf + 1 26.446 * * [simplify]: Extracting #3: cost 7 inf + 1 26.446 * * [simplify]: Extracting #4: cost 6 inf + 2 26.446 * * [simplify]: Extracting #5: cost 2 inf + 368 26.446 * * [simplify]: Extracting #6: cost 0 inf + 490 26.446 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.447 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.447 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 26.447 * * [simplify]: iters left: 4 (6 enodes) 26.451 * * [simplify]: iters left: 3 (20 enodes) 26.456 * * [simplify]: iters left: 2 (22 enodes) 26.462 * * [simplify]: Extracting #0: cost 1 inf + 0 26.462 * * [simplify]: Extracting #1: cost 4 inf + 0 26.462 * * [simplify]: Extracting #2: cost 5 inf + 1 26.462 * * [simplify]: Extracting #3: cost 7 inf + 1 26.462 * * [simplify]: Extracting #4: cost 1 inf + 368 26.463 * * [simplify]: Extracting #5: cost 0 inf + 490 26.463 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.463 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.463 * * * * [progress]: [ 103 / 209 ] simplifiying candidate # 26.463 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 26.463 * * [simplify]: iters left: 5 (4 enodes) 26.471 * * [simplify]: iters left: 4 (14 enodes) 26.474 * * [simplify]: iters left: 3 (16 enodes) 26.477 * * [simplify]: Extracting #0: cost 1 inf + 0 26.477 * * [simplify]: Extracting #1: cost 0 inf + 1 26.477 * [simplify]: Simplified to 1 26.477 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.477 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 26.477 * * [simplify]: iters left: 3 (5 enodes) 26.485 * * [simplify]: iters left: 2 (17 enodes) 26.491 * * [simplify]: iters left: 1 (19 enodes) 26.497 * * [simplify]: Extracting #0: cost 1 inf + 0 26.497 * * [simplify]: Extracting #1: cost 4 inf + 0 26.497 * * [simplify]: Extracting #2: cost 5 inf + 1 26.497 * * [simplify]: Extracting #3: cost 0 inf + 248 26.497 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.497 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.497 * * * * [progress]: [ 104 / 209 ] simplifiying candidate # 26.498 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.498 * * [simplify]: iters left: 6 (7 enodes) 26.503 * * [simplify]: iters left: 5 (25 enodes) 26.507 * * [simplify]: iters left: 4 (32 enodes) 26.512 * * [simplify]: iters left: 3 (34 enodes) 26.517 * * [simplify]: Extracting #0: cost 1 inf + 0 26.517 * * [simplify]: Extracting #1: cost 7 inf + 0 26.517 * * [simplify]: Extracting #2: cost 11 inf + 1 26.517 * * [simplify]: Extracting #3: cost 13 inf + 1 26.517 * * [simplify]: Extracting #4: cost 10 inf + 84 26.517 * * [simplify]: Extracting #5: cost 4 inf + 1014 26.517 * * [simplify]: Extracting #6: cost 1 inf + 1498 26.517 * * [simplify]: Extracting #7: cost 0 inf + 1700 26.518 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 26.518 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.518 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 26.518 * * [simplify]: iters left: 4 (6 enodes) 26.520 * * [simplify]: iters left: 3 (20 enodes) 26.523 * * [simplify]: iters left: 2 (22 enodes) 26.527 * * [simplify]: Extracting #0: cost 1 inf + 0 26.527 * * [simplify]: Extracting #1: cost 4 inf + 0 26.527 * * [simplify]: Extracting #2: cost 5 inf + 1 26.527 * * [simplify]: Extracting #3: cost 7 inf + 1 26.527 * * [simplify]: Extracting #4: cost 1 inf + 488 26.527 * * [simplify]: Extracting #5: cost 0 inf + 650 26.527 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 26.527 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.527 * * * * [progress]: [ 105 / 209 ] simplifiying candidate # 26.527 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 26.527 * * [simplify]: iters left: 6 (7 enodes) 26.530 * * [simplify]: iters left: 5 (24 enodes) 26.533 * * [simplify]: iters left: 4 (26 enodes) 26.537 * * [simplify]: Extracting #0: cost 1 inf + 0 26.537 * * [simplify]: Extracting #1: cost 4 inf + 0 26.537 * * [simplify]: Extracting #2: cost 6 inf + 1 26.537 * * [simplify]: Extracting #3: cost 9 inf + 1 26.537 * * [simplify]: Extracting #4: cost 8 inf + 2 26.537 * * [simplify]: Extracting #5: cost 2 inf + 730 26.537 * * [simplify]: Extracting #6: cost 0 inf + 972 26.537 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 26.537 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.538 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 26.538 * * [simplify]: iters left: 4 (6 enodes) 26.540 * * [simplify]: iters left: 3 (20 enodes) 26.543 * * [simplify]: iters left: 2 (22 enodes) 26.546 * * [simplify]: Extracting #0: cost 1 inf + 0 26.546 * * [simplify]: Extracting #1: cost 4 inf + 0 26.546 * * [simplify]: Extracting #2: cost 5 inf + 1 26.546 * * [simplify]: Extracting #3: cost 7 inf + 1 26.546 * * [simplify]: Extracting #4: cost 1 inf + 568 26.546 * * [simplify]: Extracting #5: cost 0 inf + 730 26.546 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 26.546 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.546 * * * * [progress]: [ 106 / 209 ] simplifiying candidate # 26.546 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 26.547 * * [simplify]: iters left: 4 (6 enodes) 26.549 * * [simplify]: iters left: 3 (20 enodes) 26.555 * * [simplify]: iters left: 2 (22 enodes) 26.561 * * [simplify]: Extracting #0: cost 1 inf + 0 26.561 * * [simplify]: Extracting #1: cost 4 inf + 0 26.561 * * [simplify]: Extracting #2: cost 5 inf + 1 26.561 * * [simplify]: Extracting #3: cost 7 inf + 1 26.561 * * [simplify]: Extracting #4: cost 1 inf + 368 26.562 * * [simplify]: Extracting #5: cost 0 inf + 490 26.562 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.562 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.562 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 26.563 * * [simplify]: iters left: 4 (6 enodes) 26.566 * * [simplify]: iters left: 3 (20 enodes) 26.572 * * [simplify]: iters left: 2 (22 enodes) 26.579 * * [simplify]: Extracting #0: cost 1 inf + 0 26.579 * * [simplify]: Extracting #1: cost 4 inf + 0 26.579 * * [simplify]: Extracting #2: cost 5 inf + 1 26.579 * * [simplify]: Extracting #3: cost 7 inf + 1 26.579 * * [simplify]: Extracting #4: cost 1 inf + 368 26.579 * * [simplify]: Extracting #5: cost 0 inf + 490 26.579 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.579 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.580 * * * * [progress]: [ 107 / 209 ] simplifiying candidate # 26.580 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 26.580 * * [simplify]: iters left: 3 (3 enodes) 26.583 * * [simplify]: iters left: 2 (9 enodes) 26.586 * * [simplify]: iters left: 1 (11 enodes) 26.588 * * [simplify]: Extracting #0: cost 1 inf + 0 26.588 * * [simplify]: Extracting #1: cost 0 inf + 1 26.589 * [simplify]: Simplified to 1 26.589 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.589 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 26.589 * * [simplify]: iters left: 3 (5 enodes) 26.593 * * [simplify]: iters left: 2 (17 enodes) 26.598 * * [simplify]: iters left: 1 (19 enodes) 26.606 * * [simplify]: Extracting #0: cost 1 inf + 0 26.606 * * [simplify]: Extracting #1: cost 4 inf + 0 26.607 * * [simplify]: Extracting #2: cost 5 inf + 1 26.607 * * [simplify]: Extracting #3: cost 0 inf + 248 26.607 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.607 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.607 * * * * [progress]: [ 108 / 209 ] simplifiying candidate # 26.608 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 26.608 * * [simplify]: iters left: 4 (6 enodes) 26.611 * * [simplify]: iters left: 3 (20 enodes) 26.617 * * [simplify]: iters left: 2 (22 enodes) 26.623 * * [simplify]: Extracting #0: cost 1 inf + 0 26.623 * * [simplify]: Extracting #1: cost 4 inf + 0 26.623 * * [simplify]: Extracting #2: cost 5 inf + 1 26.623 * * [simplify]: Extracting #3: cost 7 inf + 1 26.623 * * [simplify]: Extracting #4: cost 1 inf + 368 26.623 * * [simplify]: Extracting #5: cost 0 inf + 490 26.624 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.624 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.624 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 26.624 * * [simplify]: iters left: 4 (6 enodes) 26.628 * * [simplify]: iters left: 3 (20 enodes) 26.634 * * [simplify]: iters left: 2 (22 enodes) 26.640 * * [simplify]: Extracting #0: cost 1 inf + 0 26.640 * * [simplify]: Extracting #1: cost 4 inf + 0 26.640 * * [simplify]: Extracting #2: cost 5 inf + 1 26.640 * * [simplify]: Extracting #3: cost 7 inf + 1 26.640 * * [simplify]: Extracting #4: cost 1 inf + 368 26.640 * * [simplify]: Extracting #5: cost 0 inf + 490 26.640 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.640 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.641 * * * * [progress]: [ 109 / 209 ] simplifiying candidate # 26.641 * [simplify]: Simplifying (/ (sqrt 1) 1) 26.641 * * [simplify]: iters left: 3 (3 enodes) 26.644 * * [simplify]: iters left: 2 (9 enodes) 26.647 * * [simplify]: iters left: 1 (11 enodes) 26.650 * * [simplify]: Extracting #0: cost 1 inf + 0 26.650 * * [simplify]: Extracting #1: cost 0 inf + 1 26.650 * [simplify]: Simplified to 1 26.650 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.650 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 26.650 * * [simplify]: iters left: 3 (5 enodes) 26.654 * * [simplify]: iters left: 2 (17 enodes) 26.659 * * [simplify]: iters left: 1 (19 enodes) 26.664 * * [simplify]: Extracting #0: cost 1 inf + 0 26.664 * * [simplify]: Extracting #1: cost 4 inf + 0 26.664 * * [simplify]: Extracting #2: cost 5 inf + 1 26.664 * * [simplify]: Extracting #3: cost 0 inf + 248 26.665 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.665 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.665 * * * * [progress]: [ 110 / 209 ] simplifiying candidate # 26.665 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.665 * * [simplify]: iters left: 6 (6 enodes) 26.669 * * [simplify]: iters left: 5 (22 enodes) 26.676 * * [simplify]: iters left: 4 (26 enodes) 26.683 * * [simplify]: Extracting #0: cost 1 inf + 0 26.683 * * [simplify]: Extracting #1: cost 6 inf + 0 26.683 * * [simplify]: Extracting #2: cost 9 inf + 1 26.684 * * [simplify]: Extracting #3: cost 11 inf + 1 26.684 * * [simplify]: Extracting #4: cost 8 inf + 84 26.684 * * [simplify]: Extracting #5: cost 2 inf + 1013 26.684 * * [simplify]: Extracting #6: cost 0 inf + 1376 26.685 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 26.685 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.685 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 26.685 * * [simplify]: iters left: 4 (5 enodes) 26.688 * * [simplify]: iters left: 3 (17 enodes) 26.693 * * [simplify]: iters left: 2 (19 enodes) 26.698 * * [simplify]: Extracting #0: cost 1 inf + 0 26.698 * * [simplify]: Extracting #1: cost 4 inf + 0 26.698 * * [simplify]: Extracting #2: cost 5 inf + 1 26.698 * * [simplify]: Extracting #3: cost 7 inf + 1 26.698 * * [simplify]: Extracting #4: cost 0 inf + 650 26.698 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 26.698 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.698 * * * * [progress]: [ 111 / 209 ] simplifiying candidate # 26.698 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 26.698 * * [simplify]: iters left: 6 (6 enodes) 26.700 * * [simplify]: iters left: 5 (21 enodes) 26.703 * * [simplify]: iters left: 4 (23 enodes) 26.706 * * [simplify]: Extracting #0: cost 1 inf + 0 26.706 * * [simplify]: Extracting #1: cost 4 inf + 0 26.706 * * [simplify]: Extracting #2: cost 6 inf + 1 26.706 * * [simplify]: Extracting #3: cost 9 inf + 1 26.706 * * [simplify]: Extracting #4: cost 8 inf + 2 26.707 * * [simplify]: Extracting #5: cost 1 inf + 810 26.707 * * [simplify]: Extracting #6: cost 0 inf + 972 26.707 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 26.707 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.707 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 26.707 * * [simplify]: iters left: 4 (5 enodes) 26.708 * * [simplify]: iters left: 3 (17 enodes) 26.711 * * [simplify]: iters left: 2 (19 enodes) 26.714 * * [simplify]: Extracting #0: cost 1 inf + 0 26.714 * * [simplify]: Extracting #1: cost 4 inf + 0 26.714 * * [simplify]: Extracting #2: cost 5 inf + 1 26.714 * * [simplify]: Extracting #3: cost 7 inf + 1 26.714 * * [simplify]: Extracting #4: cost 0 inf + 730 26.714 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 26.714 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.715 * * * * [progress]: [ 112 / 209 ] simplifiying candidate # 26.715 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 26.715 * * [simplify]: iters left: 4 (5 enodes) 26.716 * * [simplify]: iters left: 3 (17 enodes) 26.719 * * [simplify]: iters left: 2 (19 enodes) 26.721 * * [simplify]: Extracting #0: cost 1 inf + 0 26.722 * * [simplify]: Extracting #1: cost 4 inf + 0 26.722 * * [simplify]: Extracting #2: cost 5 inf + 1 26.722 * * [simplify]: Extracting #3: cost 7 inf + 1 26.722 * * [simplify]: Extracting #4: cost 0 inf + 490 26.722 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.722 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.722 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 26.722 * * [simplify]: iters left: 4 (5 enodes) 26.723 * * [simplify]: iters left: 3 (17 enodes) 26.727 * * [simplify]: iters left: 2 (19 enodes) 26.731 * * [simplify]: Extracting #0: cost 1 inf + 0 26.732 * * [simplify]: Extracting #1: cost 4 inf + 0 26.732 * * [simplify]: Extracting #2: cost 5 inf + 1 26.732 * * [simplify]: Extracting #3: cost 7 inf + 1 26.732 * * [simplify]: Extracting #4: cost 0 inf + 490 26.732 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.732 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.732 * * * * [progress]: [ 113 / 209 ] simplifiying candidate # 26.732 * [simplify]: Simplifying (/ 1 (sqrt 1)) 26.732 * * [simplify]: iters left: 3 (3 enodes) 26.735 * * [simplify]: iters left: 2 (11 enodes) 26.738 * * [simplify]: iters left: 1 (13 enodes) 26.741 * * [simplify]: Extracting #0: cost 1 inf + 0 26.741 * * [simplify]: Extracting #1: cost 0 inf + 1 26.741 * [simplify]: Simplified to 1 26.741 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.741 * [simplify]: Simplifying (/ 1 (sqrt k)) 26.741 * * [simplify]: iters left: 3 (4 enodes) 26.743 * * [simplify]: iters left: 2 (14 enodes) 26.748 * * [simplify]: iters left: 1 (16 enodes) 26.753 * * [simplify]: Extracting #0: cost 1 inf + 0 26.753 * * [simplify]: Extracting #1: cost 4 inf + 0 26.753 * * [simplify]: Extracting #2: cost 5 inf + 1 26.753 * * [simplify]: Extracting #3: cost 3 inf + 43 26.753 * * [simplify]: Extracting #4: cost 1 inf + 166 26.753 * * [simplify]: Extracting #5: cost 0 inf + 248 26.753 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.753 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.753 * * * * [progress]: [ 114 / 209 ] simplifiying candidate # 26.754 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 26.754 * * [simplify]: iters left: 4 (5 enodes) 26.756 * * [simplify]: iters left: 3 (17 enodes) 26.761 * * [simplify]: iters left: 2 (19 enodes) 26.766 * * [simplify]: Extracting #0: cost 1 inf + 0 26.766 * * [simplify]: Extracting #1: cost 4 inf + 0 26.766 * * [simplify]: Extracting #2: cost 5 inf + 1 26.766 * * [simplify]: Extracting #3: cost 7 inf + 1 26.766 * * [simplify]: Extracting #4: cost 0 inf + 490 26.766 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.766 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.766 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 26.766 * * [simplify]: iters left: 4 (5 enodes) 26.768 * * [simplify]: iters left: 3 (17 enodes) 26.770 * * [simplify]: iters left: 2 (19 enodes) 26.773 * * [simplify]: Extracting #0: cost 1 inf + 0 26.773 * * [simplify]: Extracting #1: cost 4 inf + 0 26.773 * * [simplify]: Extracting #2: cost 5 inf + 1 26.773 * * [simplify]: Extracting #3: cost 7 inf + 1 26.773 * * [simplify]: Extracting #4: cost 0 inf + 490 26.773 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 26.773 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.773 * * * * [progress]: [ 115 / 209 ] simplifiying candidate # 26.774 * [simplify]: Simplifying (/ 1 1) 26.774 * * [simplify]: iters left: 2 (2 enodes) 26.774 * * [simplify]: iters left: 1 (6 enodes) 26.776 * * [simplify]: Extracting #0: cost 1 inf + 0 26.776 * * [simplify]: Extracting #1: cost 0 inf + 1 26.776 * [simplify]: Simplified to 1 26.776 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.776 * [simplify]: Simplifying (/ 1 (sqrt k)) 26.776 * * [simplify]: iters left: 3 (4 enodes) 26.777 * * [simplify]: iters left: 2 (14 enodes) 26.779 * * [simplify]: iters left: 1 (16 enodes) 26.782 * * [simplify]: Extracting #0: cost 1 inf + 0 26.782 * * [simplify]: Extracting #1: cost 4 inf + 0 26.782 * * [simplify]: Extracting #2: cost 5 inf + 1 26.782 * * [simplify]: Extracting #3: cost 3 inf + 43 26.782 * * [simplify]: Extracting #4: cost 1 inf + 166 26.782 * * [simplify]: Extracting #5: cost 0 inf + 248 26.782 * [simplify]: Simplified to (/ 1 (sqrt k)) 26.782 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.782 * * * * [progress]: [ 116 / 209 ] simplifiying candidate # 26.782 * * * * [progress]: [ 117 / 209 ] simplifiying candidate # 26.782 * * * * [progress]: [ 118 / 209 ] simplifiying candidate # 26.782 * * * * [progress]: [ 119 / 209 ] simplifiying candidate # 26.783 * [simplify]: Simplifying (cbrt (sqrt k)) 26.783 * * [simplify]: iters left: 2 (3 enodes) 26.783 * * [simplify]: iters left: 1 (9 enodes) 26.784 * * [simplify]: Extracting #0: cost 1 inf + 0 26.784 * * [simplify]: Extracting #1: cost 3 inf + 0 26.784 * * [simplify]: Extracting #2: cost 5 inf + 0 26.785 * * [simplify]: Extracting #3: cost 4 inf + 1 26.785 * * [simplify]: Extracting #4: cost 0 inf + 325 26.785 * [simplify]: Simplified to (cbrt (sqrt k)) 26.785 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.785 * * * * [progress]: [ 120 / 209 ] simplifiying candidate # 26.785 * [simplify]: Simplifying (sqrt (cbrt k)) 26.785 * * [simplify]: iters left: 2 (3 enodes) 26.785 * * [simplify]: iters left: 1 (9 enodes) 26.787 * * [simplify]: Extracting #0: cost 1 inf + 0 26.787 * * [simplify]: Extracting #1: cost 3 inf + 0 26.787 * * [simplify]: Extracting #2: cost 5 inf + 0 26.787 * * [simplify]: Extracting #3: cost 4 inf + 1 26.787 * * [simplify]: Extracting #4: cost 0 inf + 405 26.787 * [simplify]: Simplified to (sqrt (cbrt k)) 26.787 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.787 * * * * [progress]: [ 121 / 209 ] simplifiying candidate # 26.787 * [simplify]: Simplifying (sqrt (sqrt k)) 26.787 * * [simplify]: iters left: 2 (3 enodes) 26.788 * * [simplify]: iters left: 1 (9 enodes) 26.789 * * [simplify]: Extracting #0: cost 1 inf + 0 26.789 * * [simplify]: Extracting #1: cost 3 inf + 0 26.789 * * [simplify]: Extracting #2: cost 5 inf + 0 26.789 * * [simplify]: Extracting #3: cost 4 inf + 1 26.789 * * [simplify]: Extracting #4: cost 0 inf + 245 26.789 * [simplify]: Simplified to (sqrt (sqrt k)) 26.789 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.790 * * * * [progress]: [ 122 / 209 ] simplifiying candidate # 26.790 * [simplify]: Simplifying (sqrt k) 26.790 * * [simplify]: iters left: 1 (2 enodes) 26.790 * * [simplify]: Extracting #0: cost 1 inf + 0 26.790 * * [simplify]: Extracting #1: cost 3 inf + 0 26.790 * * [simplify]: Extracting #2: cost 2 inf + 1 26.790 * * [simplify]: Extracting #3: cost 0 inf + 83 26.790 * [simplify]: Simplified to (sqrt k) 26.790 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.790 * * * * [progress]: [ 123 / 209 ] simplifiying candidate # 26.791 * [simplify]: Simplifying (sqrt (sqrt k)) 26.791 * * [simplify]: iters left: 2 (3 enodes) 26.791 * * [simplify]: iters left: 1 (9 enodes) 26.793 * * [simplify]: Extracting #0: cost 1 inf + 0 26.793 * * [simplify]: Extracting #1: cost 3 inf + 0 26.793 * * [simplify]: Extracting #2: cost 5 inf + 0 26.793 * * [simplify]: Extracting #3: cost 4 inf + 1 26.793 * * [simplify]: Extracting #4: cost 0 inf + 245 26.793 * [simplify]: Simplified to (sqrt (sqrt k)) 26.793 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.793 * * * * [progress]: [ 124 / 209 ] simplifiying candidate # 26.793 * [simplify]: Simplifying (sqrt k) 26.793 * * [simplify]: iters left: 1 (2 enodes) 26.793 * * [simplify]: Extracting #0: cost 1 inf + 0 26.793 * * [simplify]: Extracting #1: cost 3 inf + 0 26.793 * * [simplify]: Extracting #2: cost 2 inf + 1 26.793 * * [simplify]: Extracting #3: cost 0 inf + 83 26.794 * [simplify]: Simplified to (sqrt k) 26.794 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.794 * * * * [progress]: [ 125 / 209 ] simplifiying candidate # 26.794 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 26.794 * * [simplify]: iters left: 3 (3 enodes) 26.798 * * [simplify]: iters left: 2 (11 enodes) 26.801 * * [simplify]: iters left: 1 (13 enodes) 26.804 * * [simplify]: Extracting #0: cost 1 inf + 0 26.804 * * [simplify]: Extracting #1: cost 0 inf + 1 26.804 * [simplify]: Simplified to 1 26.804 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.804 * * * * [progress]: [ 126 / 209 ] simplifiying candidate # 26.804 * [simplify]: Simplifying (sqrt 1) 26.804 * * [simplify]: iters left: 1 (2 enodes) 26.807 * * [simplify]: Extracting #0: cost 1 inf + 0 26.807 * * [simplify]: Extracting #1: cost 0 inf + 1 26.807 * [simplify]: Simplified to 1 26.807 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 26.808 * * * * [progress]: [ 127 / 209 ] simplifiying candidate # 26.808 * * * * [progress]: [ 128 / 209 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))> 26.808 * * * * [progress]: [ 129 / 209 ] simplifiying candidate # 26.808 * * * * [progress]: [ 130 / 209 ] simplifiying candidate # 26.808 * * * * [progress]: [ 131 / 209 ] simplifiying candidate # 26.808 * * * * [progress]: [ 132 / 209 ] simplifiying candidate # 26.808 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 26.808 * * [simplify]: iters left: 6 (14 enodes) 26.816 * * [simplify]: iters left: 5 (55 enodes) 26.835 * * [simplify]: iters left: 4 (87 enodes) 26.863 * * [simplify]: iters left: 3 (167 enodes) 26.901 * * [simplify]: iters left: 2 (330 enodes) 27.019 * * [simplify]: Extracting #0: cost 1 inf + 0 27.019 * * [simplify]: Extracting #1: cost 18 inf + 0 27.019 * * [simplify]: Extracting #2: cost 55 inf + 1 27.020 * * [simplify]: Extracting #3: cost 76 inf + 858 27.021 * * [simplify]: Extracting #4: cost 54 inf + 8560 27.025 * * [simplify]: Extracting #5: cost 4 inf + 20289 27.031 * * [simplify]: Extracting #6: cost 0 inf + 21402 27.041 * * [simplify]: Extracting #7: cost 0 inf + 21400 27.052 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k))) 27.052 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 27.052 * * * * [progress]: [ 133 / 209 ] simplifiying candidate # 27.052 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 27.052 * * [simplify]: iters left: 6 (13 enodes) 27.060 * * [simplify]: iters left: 5 (55 enodes) 27.078 * * [simplify]: iters left: 4 (90 enodes) 27.109 * * [simplify]: iters left: 3 (158 enodes) 27.173 * * [simplify]: iters left: 2 (314 enodes) 27.317 * * [simplify]: Extracting #0: cost 1 inf + 0 27.317 * * [simplify]: Extracting #1: cost 17 inf + 0 27.317 * * [simplify]: Extracting #2: cost 55 inf + 1 27.318 * * [simplify]: Extracting #3: cost 77 inf + 791 27.322 * * [simplify]: Extracting #4: cost 44 inf + 10646 27.332 * * [simplify]: Extracting #5: cost 1 inf + 19535 27.342 * * [simplify]: Extracting #6: cost 0 inf + 19777 27.352 * * [simplify]: Extracting #7: cost 0 inf + 19776 27.366 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 27.366 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 27.366 * * * * [progress]: [ 134 / 209 ] simplifiying candidate # 27.366 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 27.367 * * [simplify]: iters left: 6 (13 enodes) 27.374 * * [simplify]: iters left: 5 (55 enodes) 27.392 * * [simplify]: iters left: 4 (90 enodes) 27.423 * * [simplify]: iters left: 3 (158 enodes) 27.471 * * [simplify]: iters left: 2 (314 enodes) 27.583 * * [simplify]: Extracting #0: cost 1 inf + 0 27.583 * * [simplify]: Extracting #1: cost 17 inf + 0 27.583 * * [simplify]: Extracting #2: cost 55 inf + 1 27.584 * * [simplify]: Extracting #3: cost 77 inf + 791 27.588 * * [simplify]: Extracting #4: cost 44 inf + 10646 27.598 * * [simplify]: Extracting #5: cost 1 inf + 19535 27.604 * * [simplify]: Extracting #6: cost 0 inf + 19777 27.609 * * [simplify]: Extracting #7: cost 0 inf + 19776 27.615 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 27.615 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 27.615 * * * * [progress]: [ 135 / 209 ] simplifiying candidate # 27.615 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 27.615 * * [simplify]: iters left: 6 (13 enodes) 27.619 * * [simplify]: iters left: 5 (54 enodes) 27.631 * * [simplify]: iters left: 4 (92 enodes) 27.666 * * [simplify]: iters left: 3 (166 enodes) 27.728 * * [simplify]: iters left: 2 (376 enodes) 27.876 * * [simplify]: Extracting #0: cost 1 inf + 0 27.877 * * [simplify]: Extracting #1: cost 52 inf + 0 27.878 * * [simplify]: Extracting #2: cost 216 inf + 1 27.880 * * [simplify]: Extracting #3: cost 246 inf + 1235 27.886 * * [simplify]: Extracting #4: cost 194 inf + 16106 27.908 * * [simplify]: Extracting #5: cost 40 inf + 59921 27.935 * * [simplify]: Extracting #6: cost 0 inf + 74155 27.959 * * [simplify]: Extracting #7: cost 0 inf + 73832 27.974 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 2 (- 1 k))) (log (sqrt k))) 27.974 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* 2 PI)) (/ 2 (- 1 k))) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 27.974 * * * * [progress]: [ 136 / 209 ] simplifiying candidate # 27.974 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 27.974 * * [simplify]: iters left: 6 (15 enodes) 27.979 * * [simplify]: iters left: 5 (61 enodes) 27.994 * * [simplify]: iters left: 4 (104 enodes) 28.015 * * [simplify]: iters left: 3 (235 enodes) 28.118 * * [simplify]: Extracting #0: cost 1 inf + 0 28.118 * * [simplify]: Extracting #1: cost 26 inf + 0 28.118 * * [simplify]: Extracting #2: cost 98 inf + 1 28.119 * * [simplify]: Extracting #3: cost 113 inf + 785 28.124 * * [simplify]: Extracting #4: cost 62 inf + 13810 28.136 * * [simplify]: Extracting #5: cost 0 inf + 29727 28.148 * * [simplify]: Extracting #6: cost 0 inf + 29710 28.161 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 28.161 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.161 * * * * [progress]: [ 137 / 209 ] simplifiying candidate # 28.162 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.162 * * [simplify]: iters left: 6 (14 enodes) 28.169 * * [simplify]: iters left: 5 (61 enodes) 28.180 * * [simplify]: iters left: 4 (107 enodes) 28.208 * * [simplify]: iters left: 3 (216 enodes) 28.278 * * [simplify]: Extracting #0: cost 1 inf + 0 28.278 * * [simplify]: Extracting #1: cost 24 inf + 0 28.278 * * [simplify]: Extracting #2: cost 89 inf + 1 28.279 * * [simplify]: Extracting #3: cost 118 inf + 76 28.281 * * [simplify]: Extracting #4: cost 97 inf + 3786 28.287 * * [simplify]: Extracting #5: cost 26 inf + 18612 28.297 * * [simplify]: Extracting #6: cost 2 inf + 24547 28.311 * * [simplify]: Extracting #7: cost 0 inf + 25223 28.322 * * [simplify]: Extracting #8: cost 0 inf + 25222 28.332 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 28.333 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.333 * * * * [progress]: [ 138 / 209 ] simplifiying candidate # 28.333 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.333 * * [simplify]: iters left: 6 (14 enodes) 28.341 * * [simplify]: iters left: 5 (61 enodes) 28.364 * * [simplify]: iters left: 4 (107 enodes) 28.395 * * [simplify]: iters left: 3 (216 enodes) 28.449 * * [simplify]: Extracting #0: cost 1 inf + 0 28.449 * * [simplify]: Extracting #1: cost 24 inf + 0 28.450 * * [simplify]: Extracting #2: cost 89 inf + 1 28.450 * * [simplify]: Extracting #3: cost 118 inf + 76 28.451 * * [simplify]: Extracting #4: cost 97 inf + 3786 28.454 * * [simplify]: Extracting #5: cost 26 inf + 18612 28.461 * * [simplify]: Extracting #6: cost 2 inf + 24547 28.472 * * [simplify]: Extracting #7: cost 0 inf + 25223 28.483 * * [simplify]: Extracting #8: cost 0 inf + 25222 28.494 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 28.494 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.494 * * * * [progress]: [ 139 / 209 ] simplifiying candidate # 28.494 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 28.495 * * [simplify]: iters left: 6 (14 enodes) 28.503 * * [simplify]: iters left: 5 (60 enodes) 28.529 * * [simplify]: iters left: 4 (105 enodes) 28.552 * * [simplify]: iters left: 3 (211 enodes) 28.627 * * [simplify]: Extracting #0: cost 1 inf + 0 28.627 * * [simplify]: Extracting #1: cost 28 inf + 0 28.627 * * [simplify]: Extracting #2: cost 123 inf + 1 28.628 * * [simplify]: Extracting #3: cost 178 inf + 5 28.630 * * [simplify]: Extracting #4: cost 160 inf + 2053 28.633 * * [simplify]: Extracting #5: cost 104 inf + 11824 28.644 * * [simplify]: Extracting #6: cost 18 inf + 38364 28.658 * * [simplify]: Extracting #7: cost 1 inf + 43049 28.673 * * [simplify]: Extracting #8: cost 0 inf + 43329 28.687 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 2)) (log (sqrt k))) 28.687 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.687 * * * * [progress]: [ 140 / 209 ] simplifiying candidate # 28.688 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 28.688 * * [simplify]: iters left: 6 (15 enodes) 28.697 * * [simplify]: iters left: 5 (62 enodes) 28.717 * * [simplify]: iters left: 4 (99 enodes) 28.749 * * [simplify]: iters left: 3 (214 enodes) 28.818 * * [simplify]: Extracting #0: cost 1 inf + 0 28.818 * * [simplify]: Extracting #1: cost 28 inf + 0 28.819 * * [simplify]: Extracting #2: cost 105 inf + 1 28.819 * * [simplify]: Extracting #3: cost 123 inf + 491 28.825 * * [simplify]: Extracting #4: cost 62 inf + 16661 28.836 * * [simplify]: Extracting #5: cost 3 inf + 31178 28.849 * * [simplify]: Extracting #6: cost 0 inf + 32057 28.865 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 28.865 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 28.865 * * * * [progress]: [ 141 / 209 ] simplifiying candidate # 28.866 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 28.866 * * [simplify]: iters left: 6 (14 enodes) 28.875 * * [simplify]: iters left: 5 (62 enodes) 28.894 * * [simplify]: iters left: 4 (102 enodes) 28.928 * * [simplify]: iters left: 3 (203 enodes) 28.988 * * [simplify]: iters left: 2 (474 enodes) 29.268 * * [simplify]: Extracting #0: cost 1 inf + 0 29.268 * * [simplify]: Extracting #1: cost 34 inf + 0 29.269 * * [simplify]: Extracting #2: cost 105 inf + 2 29.270 * * [simplify]: Extracting #3: cost 148 inf + 616 29.276 * * [simplify]: Extracting #4: cost 95 inf + 12602 29.293 * * [simplify]: Extracting #5: cost 5 inf + 33979 29.317 * * [simplify]: Extracting #6: cost 0 inf + 34715 29.338 * * [simplify]: Extracting #7: cost 0 inf + 34705 29.358 * [simplify]: Simplified to (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k))) 29.358 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 29.359 * * * * [progress]: [ 142 / 209 ] simplifiying candidate # 29.359 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 29.359 * * [simplify]: iters left: 6 (14 enodes) 29.368 * * [simplify]: iters left: 5 (62 enodes) 29.389 * * [simplify]: iters left: 4 (102 enodes) 29.428 * * [simplify]: iters left: 3 (203 enodes) 29.494 * * [simplify]: iters left: 2 (474 enodes) 29.813 * * [simplify]: Extracting #0: cost 1 inf + 0 29.813 * * [simplify]: Extracting #1: cost 34 inf + 0 29.814 * * [simplify]: Extracting #2: cost 105 inf + 2 29.816 * * [simplify]: Extracting #3: cost 148 inf + 616 29.826 * * [simplify]: Extracting #4: cost 95 inf + 12602 29.842 * * [simplify]: Extracting #5: cost 5 inf + 33979 29.853 * * [simplify]: Extracting #6: cost 0 inf + 34715 29.863 * * [simplify]: Extracting #7: cost 0 inf + 34705 29.874 * [simplify]: Simplified to (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k))) 29.874 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* PI 2)) (* k (log (* PI 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 29.874 * * * * [progress]: [ 143 / 209 ] simplifiying candidate # 29.874 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 29.874 * * [simplify]: iters left: 6 (14 enodes) 29.883 * * [simplify]: iters left: 5 (61 enodes) 29.902 * * [simplify]: iters left: 4 (100 enodes) 29.922 * * [simplify]: iters left: 3 (200 enodes) 29.979 * * [simplify]: Extracting #0: cost 1 inf + 0 29.979 * * [simplify]: Extracting #1: cost 27 inf + 0 29.980 * * [simplify]: Extracting #2: cost 114 inf + 1 29.981 * * [simplify]: Extracting #3: cost 168 inf + 5 29.982 * * [simplify]: Extracting #4: cost 162 inf + 758 29.986 * * [simplify]: Extracting #5: cost 89 inf + 13245 29.996 * * [simplify]: Extracting #6: cost 20 inf + 31469 30.009 * * [simplify]: Extracting #7: cost 0 inf + 39850 30.018 * [simplify]: Simplified to (- (* (log (* PI 2)) (/ (- 1 k) 2)) (log (sqrt k))) 30.018 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* PI 2)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.019 * * * * [progress]: [ 144 / 209 ] simplifiying candidate # 30.019 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 30.019 * * [simplify]: iters left: 6 (14 enodes) 30.024 * * [simplify]: iters left: 5 (59 enodes) 30.034 * * [simplify]: iters left: 4 (93 enodes) 30.066 * * [simplify]: iters left: 3 (177 enodes) 30.118 * * [simplify]: iters left: 2 (358 enodes) 30.276 * * [simplify]: Extracting #0: cost 1 inf + 0 30.276 * * [simplify]: Extracting #1: cost 23 inf + 0 30.277 * * [simplify]: Extracting #2: cost 72 inf + 2 30.277 * * [simplify]: Extracting #3: cost 100 inf + 371 30.280 * * [simplify]: Extracting #4: cost 88 inf + 3927 30.288 * * [simplify]: Extracting #5: cost 25 inf + 18410 30.300 * * [simplify]: Extracting #6: cost 0 inf + 25678 30.317 * * [simplify]: Extracting #7: cost 0 inf + 25623 30.330 * * [simplify]: Extracting #8: cost 0 inf + 25621 30.338 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k))) 30.338 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.338 * * * * [progress]: [ 145 / 209 ] simplifiying candidate # 30.338 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 30.338 * * [simplify]: iters left: 6 (13 enodes) 30.343 * * [simplify]: iters left: 5 (59 enodes) 30.353 * * [simplify]: iters left: 4 (96 enodes) 30.380 * * [simplify]: iters left: 3 (168 enodes) 30.422 * * [simplify]: iters left: 2 (341 enodes) 30.565 * * [simplify]: Extracting #0: cost 1 inf + 0 30.565 * * [simplify]: Extracting #1: cost 22 inf + 0 30.566 * * [simplify]: Extracting #2: cost 72 inf + 2 30.567 * * [simplify]: Extracting #3: cost 95 inf + 1207 30.572 * * [simplify]: Extracting #4: cost 58 inf + 10725 30.578 * * [simplify]: Extracting #5: cost 3 inf + 23614 30.587 * * [simplify]: Extracting #6: cost 0 inf + 24336 30.596 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 30.596 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.596 * * * * [progress]: [ 146 / 209 ] simplifiying candidate # 30.597 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 30.597 * * [simplify]: iters left: 6 (13 enodes) 30.605 * * [simplify]: iters left: 5 (59 enodes) 30.621 * * [simplify]: iters left: 4 (96 enodes) 30.638 * * [simplify]: iters left: 3 (168 enodes) 30.701 * * [simplify]: iters left: 2 (341 enodes) 30.860 * * [simplify]: Extracting #0: cost 1 inf + 0 30.860 * * [simplify]: Extracting #1: cost 22 inf + 0 30.860 * * [simplify]: Extracting #2: cost 72 inf + 2 30.861 * * [simplify]: Extracting #3: cost 95 inf + 1207 30.864 * * [simplify]: Extracting #4: cost 58 inf + 10725 30.870 * * [simplify]: Extracting #5: cost 3 inf + 23614 30.885 * * [simplify]: Extracting #6: cost 0 inf + 24336 30.898 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k))) 30.898 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 30.898 * * * * [progress]: [ 147 / 209 ] simplifiying candidate # 30.899 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 30.899 * * [simplify]: iters left: 6 (13 enodes) 30.907 * * [simplify]: iters left: 5 (58 enodes) 30.926 * * [simplify]: iters left: 4 (98 enodes) 30.958 * * [simplify]: iters left: 3 (176 enodes) 31.004 * * [simplify]: iters left: 2 (413 enodes) 31.217 * * [simplify]: Extracting #0: cost 1 inf + 0 31.217 * * [simplify]: Extracting #1: cost 66 inf + 0 31.218 * * [simplify]: Extracting #2: cost 271 inf + 73 31.220 * * [simplify]: Extracting #3: cost 268 inf + 6701 31.236 * * [simplify]: Extracting #4: cost 114 inf + 49703 31.267 * * [simplify]: Extracting #5: cost 11 inf + 87864 31.301 * * [simplify]: Extracting #6: cost 0 inf + 94320 31.336 * * [simplify]: Extracting #7: cost 0 inf + 93709 31.365 * * [simplify]: Extracting #8: cost 0 inf + 93587 31.382 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (log (* 2 PI)))) (log (sqrt k))) 31.382 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- 1 k) (/ 2 (log (* 2 PI)))) (log (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.382 * * * * [progress]: [ 148 / 209 ] simplifiying candidate # 31.382 * * * * [progress]: [ 149 / 209 ] simplifiying candidate # 31.382 * * * * [progress]: [ 150 / 209 ] simplifiying candidate # 31.382 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 31.383 * * [simplify]: iters left: 6 (17 enodes) 31.391 * * [simplify]: iters left: 5 (71 enodes) 31.410 * * [simplify]: iters left: 4 (167 enodes) 31.504 * * [simplify]: Extracting #0: cost 1 inf + 0 31.505 * * [simplify]: Extracting #1: cost 53 inf + 0 31.505 * * [simplify]: Extracting #2: cost 160 inf + 124 31.507 * * [simplify]: Extracting #3: cost 168 inf + 1153 31.511 * * [simplify]: Extracting #4: cost 125 inf + 12153 31.526 * * [simplify]: Extracting #5: cost 34 inf + 52925 31.545 * * [simplify]: Extracting #6: cost 0 inf + 73266 31.556 * * [simplify]: Extracting #7: cost 0 inf + 72993 31.570 * [simplify]: Simplified to (/ (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* k (sqrt k))) 31.570 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (* (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2))) (* k (sqrt k)))) (pow n (/ (- 1 k) 2)))) 31.570 * * * * [progress]: [ 151 / 209 ] simplifiying candidate # 31.570 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 31.571 * * [simplify]: iters left: 6 (15 enodes) 31.576 * * [simplify]: iters left: 5 (72 enodes) 31.604 * * [simplify]: iters left: 4 (153 enodes) 31.673 * * [simplify]: iters left: 3 (453 enodes) 32.041 * * [simplify]: Extracting #0: cost 1 inf + 0 32.041 * * [simplify]: Extracting #1: cost 94 inf + 0 32.043 * * [simplify]: Extracting #2: cost 417 inf + 371 32.045 * * [simplify]: Extracting #3: cost 448 inf + 944 32.050 * * [simplify]: Extracting #4: cost 372 inf + 26226 32.095 * * [simplify]: Extracting #5: cost 108 inf + 201716 32.151 * * [simplify]: Extracting #6: cost 2 inf + 269859 32.189 * * [simplify]: Extracting #7: cost 0 inf + 263945 32.235 * * [simplify]: Extracting #8: cost 0 inf + 262060 32.295 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) k)) 32.295 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) k))) (pow n (/ (- 1 k) 2)))) 32.295 * * * * [progress]: [ 152 / 209 ] simplifiying candidate # 32.295 * * * * [progress]: [ 153 / 209 ] simplifiying candidate # 32.295 * * * * [progress]: [ 154 / 209 ] simplifiying candidate # 32.295 * * * * [progress]: [ 155 / 209 ] simplifiying candidate # 32.295 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ 1 2))) 32.295 * * [simplify]: iters left: 5 (7 enodes) 32.299 * * [simplify]: iters left: 4 (28 enodes) 32.304 * * [simplify]: iters left: 3 (49 enodes) 32.317 * * [simplify]: iters left: 2 (83 enodes) 32.345 * * [simplify]: iters left: 1 (132 enodes) 32.386 * * [simplify]: Extracting #0: cost 1 inf + 0 32.386 * * [simplify]: Extracting #1: cost 14 inf + 0 32.386 * * [simplify]: Extracting #2: cost 36 inf + 2 32.387 * * [simplify]: Extracting #3: cost 33 inf + 8 32.387 * * [simplify]: Extracting #4: cost 24 inf + 2748 32.388 * * [simplify]: Extracting #5: cost 2 inf + 11658 32.389 * * [simplify]: Extracting #6: cost 0 inf + 12877 32.390 * [simplify]: Simplified to (sqrt (* PI 2)) 32.390 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2)))) 32.391 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ k 2))) 32.391 * * [simplify]: iters left: 5 (8 enodes) 32.393 * * [simplify]: iters left: 4 (29 enodes) 32.398 * * [simplify]: iters left: 3 (45 enodes) 32.405 * * [simplify]: iters left: 2 (82 enodes) 32.421 * * [simplify]: iters left: 1 (187 enodes) 32.470 * * [simplify]: Extracting #0: cost 1 inf + 0 32.471 * * [simplify]: Extracting #1: cost 28 inf + 0 32.471 * * [simplify]: Extracting #2: cost 98 inf + 0 32.471 * * [simplify]: Extracting #3: cost 122 inf + 168 32.472 * * [simplify]: Extracting #4: cost 108 inf + 1546 32.473 * * [simplify]: Extracting #5: cost 75 inf + 8561 32.478 * * [simplify]: Extracting #6: cost 9 inf + 46459 32.484 * * [simplify]: Extracting #7: cost 0 inf + 51028 32.496 * [simplify]: Simplified to (* (pow (* 2 PI) (/ k 2)) (sqrt k)) 32.496 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) (pow n (/ (- 1 k) 2)))) 32.496 * * * * [progress]: [ 156 / 209 ] simplifiying candidate # 32.496 * * * * [progress]: [ 157 / 209 ] simplifiying candidate # 32.496 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 32.496 * * [simplify]: iters left: 6 (13 enodes) 32.500 * * [simplify]: iters left: 5 (52 enodes) 32.509 * * [simplify]: iters left: 4 (78 enodes) 32.524 * * [simplify]: iters left: 3 (109 enodes) 32.556 * * [simplify]: iters left: 2 (177 enodes) 32.615 * * [simplify]: iters left: 1 (338 enodes) 32.734 * * [simplify]: Extracting #0: cost 1 inf + 0 32.734 * * [simplify]: Extracting #1: cost 4 inf + 0 32.734 * * [simplify]: Extracting #2: cost 9 inf + 0 32.734 * * [simplify]: Extracting #3: cost 37 inf + 0 32.735 * * [simplify]: Extracting #4: cost 119 inf + 2 32.735 * * [simplify]: Extracting #5: cost 145 inf + 830 32.737 * * [simplify]: Extracting #6: cost 98 inf + 6631 32.741 * * [simplify]: Extracting #7: cost 33 inf + 34316 32.749 * * [simplify]: Extracting #8: cost 4 inf + 56349 32.763 * * [simplify]: Extracting #9: cost 0 inf + 58246 32.780 * * [simplify]: Extracting #10: cost 0 inf + 57732 32.798 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 32.798 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 32.798 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 32.798 * * [simplify]: iters left: 6 (13 enodes) 32.805 * * [simplify]: iters left: 5 (52 enodes) 32.814 * * [simplify]: iters left: 4 (78 enodes) 32.830 * * [simplify]: iters left: 3 (109 enodes) 32.859 * * [simplify]: iters left: 2 (177 enodes) 32.908 * * [simplify]: iters left: 1 (338 enodes) 33.035 * * [simplify]: Extracting #0: cost 1 inf + 0 33.035 * * [simplify]: Extracting #1: cost 4 inf + 0 33.035 * * [simplify]: Extracting #2: cost 9 inf + 0 33.035 * * [simplify]: Extracting #3: cost 37 inf + 0 33.036 * * [simplify]: Extracting #4: cost 119 inf + 2 33.037 * * [simplify]: Extracting #5: cost 145 inf + 830 33.040 * * [simplify]: Extracting #6: cost 98 inf + 6631 33.048 * * [simplify]: Extracting #7: cost 33 inf + 34316 33.064 * * [simplify]: Extracting #8: cost 4 inf + 56349 33.074 * * [simplify]: Extracting #9: cost 0 inf + 58246 33.083 * * [simplify]: Extracting #10: cost 0 inf + 57732 33.095 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 33.095 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2)))) 33.095 * * * * [progress]: [ 158 / 209 ] simplifiying candidate # 33.096 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 33.096 * * [simplify]: iters left: 6 (13 enodes) 33.104 * * [simplify]: iters left: 5 (55 enodes) 33.128 * * [simplify]: iters left: 4 (87 enodes) 33.158 * * [simplify]: iters left: 3 (143 enodes) 33.204 * * [simplify]: iters left: 2 (275 enodes) 33.277 * * [simplify]: Extracting #0: cost 1 inf + 0 33.277 * * [simplify]: Extracting #1: cost 27 inf + 0 33.277 * * [simplify]: Extracting #2: cost 96 inf + 0 33.278 * * [simplify]: Extracting #3: cost 140 inf + 2 33.279 * * [simplify]: Extracting #4: cost 147 inf + 97 33.279 * * [simplify]: Extracting #5: cost 138 inf + 717 33.281 * * [simplify]: Extracting #6: cost 69 inf + 16778 33.288 * * [simplify]: Extracting #7: cost 7 inf + 58053 33.299 * * [simplify]: Extracting #8: cost 0 inf + 61479 33.316 * * [simplify]: Extracting #9: cost 0 inf + 61234 33.335 * * [simplify]: Extracting #10: cost 0 inf + 61154 33.356 * * [simplify]: Extracting #11: cost 0 inf + 61115 33.373 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 33.373 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 33.374 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 33.374 * * [simplify]: iters left: 6 (13 enodes) 33.381 * * [simplify]: iters left: 5 (55 enodes) 33.400 * * [simplify]: iters left: 4 (87 enodes) 33.429 * * [simplify]: iters left: 3 (143 enodes) 33.474 * * [simplify]: iters left: 2 (275 enodes) 33.569 * * [simplify]: Extracting #0: cost 1 inf + 0 33.569 * * [simplify]: Extracting #1: cost 27 inf + 0 33.570 * * [simplify]: Extracting #2: cost 96 inf + 0 33.571 * * [simplify]: Extracting #3: cost 140 inf + 2 33.572 * * [simplify]: Extracting #4: cost 147 inf + 97 33.573 * * [simplify]: Extracting #5: cost 138 inf + 717 33.577 * * [simplify]: Extracting #6: cost 69 inf + 16778 33.591 * * [simplify]: Extracting #7: cost 7 inf + 58053 33.613 * * [simplify]: Extracting #8: cost 0 inf + 61479 33.630 * * [simplify]: Extracting #9: cost 0 inf + 61234 33.648 * * [simplify]: Extracting #10: cost 0 inf + 61154 33.659 * * [simplify]: Extracting #11: cost 0 inf + 61115 33.667 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k)))) 33.667 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2)))) 33.668 * * * * [progress]: [ 159 / 209 ] simplifiying candidate # 33.668 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 33.668 * * [simplify]: iters left: 6 (14 enodes) 33.672 * * [simplify]: iters left: 5 (57 enodes) 33.682 * * [simplify]: iters left: 4 (89 enodes) 33.708 * * [simplify]: iters left: 3 (129 enodes) 33.752 * * [simplify]: iters left: 2 (202 enodes) 33.826 * * [simplify]: iters left: 1 (363 enodes) 33.959 * * [simplify]: Extracting #0: cost 1 inf + 0 33.959 * * [simplify]: Extracting #1: cost 7 inf + 0 33.959 * * [simplify]: Extracting #2: cost 13 inf + 1 33.959 * * [simplify]: Extracting #3: cost 38 inf + 1 33.960 * * [simplify]: Extracting #4: cost 109 inf + 328 33.961 * * [simplify]: Extracting #5: cost 135 inf + 624 33.964 * * [simplify]: Extracting #6: cost 94 inf + 5460 33.968 * * [simplify]: Extracting #7: cost 35 inf + 25157 33.976 * * [simplify]: Extracting #8: cost 2 inf + 50385 33.984 * * [simplify]: Extracting #9: cost 0 inf + 51638 33.993 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 33.993 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 33.993 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 33.993 * * [simplify]: iters left: 6 (14 enodes) 34.002 * * [simplify]: iters left: 5 (57 enodes) 34.022 * * [simplify]: iters left: 4 (89 enodes) 34.051 * * [simplify]: iters left: 3 (129 enodes) 34.098 * * [simplify]: iters left: 2 (202 enodes) 34.144 * * [simplify]: iters left: 1 (363 enodes) 34.272 * * [simplify]: Extracting #0: cost 1 inf + 0 34.273 * * [simplify]: Extracting #1: cost 7 inf + 0 34.273 * * [simplify]: Extracting #2: cost 13 inf + 1 34.273 * * [simplify]: Extracting #3: cost 38 inf + 1 34.274 * * [simplify]: Extracting #4: cost 109 inf + 328 34.275 * * [simplify]: Extracting #5: cost 135 inf + 624 34.277 * * [simplify]: Extracting #6: cost 94 inf + 5460 34.286 * * [simplify]: Extracting #7: cost 35 inf + 25157 34.300 * * [simplify]: Extracting #8: cost 2 inf + 50385 34.316 * * [simplify]: Extracting #9: cost 0 inf + 51638 34.332 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 34.333 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 34.333 * * * * [progress]: [ 160 / 209 ] simplifiying candidate # 34.333 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 34.333 * * [simplify]: iters left: 6 (14 enodes) 34.342 * * [simplify]: iters left: 5 (60 enodes) 34.364 * * [simplify]: iters left: 4 (96 enodes) 34.384 * * [simplify]: iters left: 3 (165 enodes) 34.438 * * [simplify]: iters left: 2 (349 enodes) 34.546 * * [simplify]: Extracting #0: cost 1 inf + 0 34.547 * * [simplify]: Extracting #1: cost 39 inf + 0 34.547 * * [simplify]: Extracting #2: cost 106 inf + 1 34.548 * * [simplify]: Extracting #3: cost 151 inf + 3 34.549 * * [simplify]: Extracting #4: cost 153 inf + 425 34.553 * * [simplify]: Extracting #5: cost 92 inf + 13342 34.565 * * [simplify]: Extracting #6: cost 18 inf + 52398 34.579 * * [simplify]: Extracting #7: cost 0 inf + 68497 34.589 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 34.589 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 34.589 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 34.589 * * [simplify]: iters left: 6 (14 enodes) 34.595 * * [simplify]: iters left: 5 (60 enodes) 34.613 * * [simplify]: iters left: 4 (96 enodes) 34.631 * * [simplify]: iters left: 3 (165 enodes) 34.690 * * [simplify]: iters left: 2 (349 enodes) 34.792 * * [simplify]: Extracting #0: cost 1 inf + 0 34.792 * * [simplify]: Extracting #1: cost 39 inf + 0 34.793 * * [simplify]: Extracting #2: cost 106 inf + 1 34.794 * * [simplify]: Extracting #3: cost 151 inf + 3 34.795 * * [simplify]: Extracting #4: cost 153 inf + 425 34.800 * * [simplify]: Extracting #5: cost 92 inf + 13342 34.814 * * [simplify]: Extracting #6: cost 18 inf + 52398 34.834 * * [simplify]: Extracting #7: cost 0 inf + 68497 34.854 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 34.855 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 34.855 * * * * [progress]: [ 161 / 209 ] simplifiying candidate # 34.855 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 34.855 * * [simplify]: iters left: 6 (14 enodes) 34.865 * * [simplify]: iters left: 5 (57 enodes) 34.884 * * [simplify]: iters left: 4 (89 enodes) 34.912 * * [simplify]: iters left: 3 (129 enodes) 34.936 * * [simplify]: iters left: 2 (202 enodes) 34.987 * * [simplify]: iters left: 1 (363 enodes) 35.138 * * [simplify]: Extracting #0: cost 1 inf + 0 35.138 * * [simplify]: Extracting #1: cost 7 inf + 0 35.138 * * [simplify]: Extracting #2: cost 13 inf + 1 35.138 * * [simplify]: Extracting #3: cost 38 inf + 1 35.139 * * [simplify]: Extracting #4: cost 109 inf + 328 35.140 * * [simplify]: Extracting #5: cost 135 inf + 624 35.143 * * [simplify]: Extracting #6: cost 94 inf + 5460 35.151 * * [simplify]: Extracting #7: cost 35 inf + 25157 35.166 * * [simplify]: Extracting #8: cost 2 inf + 50385 35.183 * * [simplify]: Extracting #9: cost 0 inf + 51638 35.198 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.198 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 35.199 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 35.199 * * [simplify]: iters left: 6 (14 enodes) 35.207 * * [simplify]: iters left: 5 (57 enodes) 35.226 * * [simplify]: iters left: 4 (89 enodes) 35.258 * * [simplify]: iters left: 3 (129 enodes) 35.282 * * [simplify]: iters left: 2 (202 enodes) 35.354 * * [simplify]: iters left: 1 (363 enodes) 35.495 * * [simplify]: Extracting #0: cost 1 inf + 0 35.495 * * [simplify]: Extracting #1: cost 7 inf + 0 35.495 * * [simplify]: Extracting #2: cost 13 inf + 1 35.495 * * [simplify]: Extracting #3: cost 38 inf + 1 35.495 * * [simplify]: Extracting #4: cost 109 inf + 328 35.496 * * [simplify]: Extracting #5: cost 135 inf + 624 35.497 * * [simplify]: Extracting #6: cost 94 inf + 5460 35.501 * * [simplify]: Extracting #7: cost 35 inf + 25157 35.509 * * [simplify]: Extracting #8: cost 2 inf + 50385 35.522 * * [simplify]: Extracting #9: cost 0 inf + 51638 35.537 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k))) 35.538 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (/ (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 35.538 * * * * [progress]: [ 162 / 209 ] simplifiying candidate # 35.538 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 35.538 * * [simplify]: iters left: 6 (14 enodes) 35.544 * * [simplify]: iters left: 5 (60 enodes) 35.554 * * [simplify]: iters left: 4 (96 enodes) 35.579 * * [simplify]: iters left: 3 (165 enodes) 35.638 * * [simplify]: iters left: 2 (349 enodes) 35.771 * * [simplify]: Extracting #0: cost 1 inf + 0 35.771 * * [simplify]: Extracting #1: cost 39 inf + 0 35.772 * * [simplify]: Extracting #2: cost 106 inf + 1 35.772 * * [simplify]: Extracting #3: cost 151 inf + 3 35.776 * * [simplify]: Extracting #4: cost 153 inf + 425 35.778 * * [simplify]: Extracting #5: cost 92 inf + 13342 35.785 * * [simplify]: Extracting #6: cost 18 inf + 52398 35.802 * * [simplify]: Extracting #7: cost 0 inf + 68497 35.822 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 35.822 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 35.823 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 35.823 * * [simplify]: iters left: 6 (14 enodes) 35.832 * * [simplify]: iters left: 5 (60 enodes) 35.852 * * [simplify]: iters left: 4 (96 enodes) 35.870 * * [simplify]: iters left: 3 (165 enodes) 35.915 * * [simplify]: iters left: 2 (349 enodes) 36.024 * * [simplify]: Extracting #0: cost 1 inf + 0 36.024 * * [simplify]: Extracting #1: cost 39 inf + 0 36.024 * * [simplify]: Extracting #2: cost 106 inf + 1 36.025 * * [simplify]: Extracting #3: cost 151 inf + 3 36.026 * * [simplify]: Extracting #4: cost 153 inf + 425 36.028 * * [simplify]: Extracting #5: cost 92 inf + 13342 36.035 * * [simplify]: Extracting #6: cost 18 inf + 52398 36.045 * * [simplify]: Extracting #7: cost 0 inf + 68497 36.059 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k))) 36.059 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 36.060 * * * * [progress]: [ 163 / 209 ] simplifiying candidate # 36.060 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 36.060 * * [simplify]: iters left: 6 (13 enodes) 36.068 * * [simplify]: iters left: 5 (54 enodes) 36.077 * * [simplify]: iters left: 4 (84 enodes) 36.092 * * [simplify]: iters left: 3 (129 enodes) 36.121 * * [simplify]: iters left: 2 (198 enodes) 36.177 * * [simplify]: iters left: 1 (351 enodes) 36.300 * * [simplify]: Extracting #0: cost 1 inf + 0 36.300 * * [simplify]: Extracting #1: cost 7 inf + 0 36.300 * * [simplify]: Extracting #2: cost 13 inf + 1 36.300 * * [simplify]: Extracting #3: cost 44 inf + 1 36.301 * * [simplify]: Extracting #4: cost 124 inf + 3 36.301 * * [simplify]: Extracting #5: cost 139 inf + 586 36.303 * * [simplify]: Extracting #6: cost 95 inf + 7899 36.308 * * [simplify]: Extracting #7: cost 29 inf + 38149 36.316 * * [simplify]: Extracting #8: cost 1 inf + 61145 36.325 * * [simplify]: Extracting #9: cost 0 inf + 61651 36.334 * * [simplify]: Extracting #10: cost 0 inf + 61523 36.353 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 36.354 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 36.354 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 36.354 * * [simplify]: iters left: 6 (13 enodes) 36.362 * * [simplify]: iters left: 5 (54 enodes) 36.380 * * [simplify]: iters left: 4 (84 enodes) 36.407 * * [simplify]: iters left: 3 (129 enodes) 36.451 * * [simplify]: iters left: 2 (198 enodes) 36.517 * * [simplify]: iters left: 1 (351 enodes) 36.654 * * [simplify]: Extracting #0: cost 1 inf + 0 36.654 * * [simplify]: Extracting #1: cost 7 inf + 0 36.654 * * [simplify]: Extracting #2: cost 13 inf + 1 36.654 * * [simplify]: Extracting #3: cost 44 inf + 1 36.655 * * [simplify]: Extracting #4: cost 124 inf + 3 36.656 * * [simplify]: Extracting #5: cost 139 inf + 586 36.659 * * [simplify]: Extracting #6: cost 95 inf + 7899 36.669 * * [simplify]: Extracting #7: cost 29 inf + 38149 36.687 * * [simplify]: Extracting #8: cost 1 inf + 61145 36.700 * * [simplify]: Extracting #9: cost 0 inf + 61651 36.711 * * [simplify]: Extracting #10: cost 0 inf + 61523 36.720 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 36.720 * [simplify]: Simplified (2 1 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)))) 36.720 * * * * [progress]: [ 164 / 209 ] simplifiying candidate # 36.721 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 36.721 * * [simplify]: iters left: 6 (13 enodes) 36.725 * * [simplify]: iters left: 5 (57 enodes) 36.741 * * [simplify]: iters left: 4 (95 enodes) 36.775 * * [simplify]: iters left: 3 (174 enodes) 36.848 * * [simplify]: iters left: 2 (345 enodes) 37.023 * * [simplify]: Extracting #0: cost 1 inf + 0 37.023 * * [simplify]: Extracting #1: cost 39 inf + 0 37.024 * * [simplify]: Extracting #2: cost 122 inf + 1 37.024 * * [simplify]: Extracting #3: cost 171 inf + 3 37.025 * * [simplify]: Extracting #4: cost 169 inf + 633 37.027 * * [simplify]: Extracting #5: cost 107 inf + 15123 37.036 * * [simplify]: Extracting #6: cost 17 inf + 66299 37.047 * * [simplify]: Extracting #7: cost 0 inf + 79813 37.074 * * [simplify]: Extracting #8: cost 0 inf + 78715 37.087 * * [simplify]: Extracting #9: cost 0 inf + 78714 37.099 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 37.099 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 37.099 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 37.100 * * [simplify]: iters left: 6 (13 enodes) 37.107 * * [simplify]: iters left: 5 (57 enodes) 37.128 * * [simplify]: iters left: 4 (95 enodes) 37.163 * * [simplify]: iters left: 3 (174 enodes) 37.239 * * [simplify]: iters left: 2 (345 enodes) 37.370 * * [simplify]: Extracting #0: cost 1 inf + 0 37.370 * * [simplify]: Extracting #1: cost 39 inf + 0 37.371 * * [simplify]: Extracting #2: cost 122 inf + 1 37.372 * * [simplify]: Extracting #3: cost 171 inf + 3 37.374 * * [simplify]: Extracting #4: cost 169 inf + 633 37.377 * * [simplify]: Extracting #5: cost 107 inf + 15123 37.389 * * [simplify]: Extracting #6: cost 17 inf + 66299 37.401 * * [simplify]: Extracting #7: cost 0 inf + 79813 37.415 * * [simplify]: Extracting #8: cost 0 inf + 78715 37.427 * * [simplify]: Extracting #9: cost 0 inf + 78714 37.441 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 37.441 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 37.441 * * * * [progress]: [ 165 / 209 ] simplifiying candidate # 37.442 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.442 * * [simplify]: iters left: 6 (13 enodes) 37.450 * * [simplify]: iters left: 5 (54 enodes) 37.465 * * [simplify]: iters left: 4 (84 enodes) 37.482 * * [simplify]: iters left: 3 (129 enodes) 37.517 * * [simplify]: iters left: 2 (198 enodes) 37.570 * * [simplify]: iters left: 1 (351 enodes) 37.685 * * [simplify]: Extracting #0: cost 1 inf + 0 37.685 * * [simplify]: Extracting #1: cost 7 inf + 0 37.685 * * [simplify]: Extracting #2: cost 13 inf + 1 37.685 * * [simplify]: Extracting #3: cost 44 inf + 1 37.686 * * [simplify]: Extracting #4: cost 124 inf + 3 37.687 * * [simplify]: Extracting #5: cost 139 inf + 586 37.690 * * [simplify]: Extracting #6: cost 95 inf + 7899 37.701 * * [simplify]: Extracting #7: cost 29 inf + 38149 37.718 * * [simplify]: Extracting #8: cost 1 inf + 61145 37.736 * * [simplify]: Extracting #9: cost 0 inf + 61651 37.753 * * [simplify]: Extracting #10: cost 0 inf + 61523 37.770 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 37.770 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2)))) 37.771 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 37.771 * * [simplify]: iters left: 6 (13 enodes) 37.778 * * [simplify]: iters left: 5 (54 enodes) 37.796 * * [simplify]: iters left: 4 (84 enodes) 37.821 * * [simplify]: iters left: 3 (129 enodes) 37.844 * * [simplify]: iters left: 2 (198 enodes) 37.917 * * [simplify]: iters left: 1 (351 enodes) 38.068 * * [simplify]: Extracting #0: cost 1 inf + 0 38.068 * * [simplify]: Extracting #1: cost 7 inf + 0 38.068 * * [simplify]: Extracting #2: cost 13 inf + 1 38.068 * * [simplify]: Extracting #3: cost 44 inf + 1 38.069 * * [simplify]: Extracting #4: cost 124 inf + 3 38.070 * * [simplify]: Extracting #5: cost 139 inf + 586 38.073 * * [simplify]: Extracting #6: cost 95 inf + 7899 38.082 * * [simplify]: Extracting #7: cost 29 inf + 38149 38.091 * * [simplify]: Extracting #8: cost 1 inf + 61145 38.106 * * [simplify]: Extracting #9: cost 0 inf + 61651 38.123 * * [simplify]: Extracting #10: cost 0 inf + 61523 38.141 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) 38.141 * [simplify]: Simplified (2 1 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)))) 38.141 * * * * [progress]: [ 166 / 209 ] simplifiying candidate # 38.142 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 38.142 * * [simplify]: iters left: 6 (13 enodes) 38.150 * * [simplify]: iters left: 5 (57 enodes) 38.175 * * [simplify]: iters left: 4 (95 enodes) 38.208 * * [simplify]: iters left: 3 (174 enodes) 38.257 * * [simplify]: iters left: 2 (345 enodes) 38.419 * * [simplify]: Extracting #0: cost 1 inf + 0 38.419 * * [simplify]: Extracting #1: cost 39 inf + 0 38.420 * * [simplify]: Extracting #2: cost 122 inf + 1 38.421 * * [simplify]: Extracting #3: cost 171 inf + 3 38.421 * * [simplify]: Extracting #4: cost 169 inf + 633 38.424 * * [simplify]: Extracting #5: cost 107 inf + 15123 38.432 * * [simplify]: Extracting #6: cost 17 inf + 66299 38.444 * * [simplify]: Extracting #7: cost 0 inf + 79813 38.463 * * [simplify]: Extracting #8: cost 0 inf + 78715 38.488 * * [simplify]: Extracting #9: cost 0 inf + 78714 38.502 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 38.503 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow n (/ (- 1 k) 2)))) 38.503 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 38.503 * * [simplify]: iters left: 6 (13 enodes) 38.508 * * [simplify]: iters left: 5 (57 enodes) 38.520 * * [simplify]: iters left: 4 (95 enodes) 38.556 * * [simplify]: iters left: 3 (174 enodes) 38.607 * * [simplify]: iters left: 2 (345 enodes) 38.740 * * [simplify]: Extracting #0: cost 1 inf + 0 38.740 * * [simplify]: Extracting #1: cost 39 inf + 0 38.741 * * [simplify]: Extracting #2: cost 122 inf + 1 38.742 * * [simplify]: Extracting #3: cost 171 inf + 3 38.744 * * [simplify]: Extracting #4: cost 169 inf + 633 38.746 * * [simplify]: Extracting #5: cost 107 inf + 15123 38.754 * * [simplify]: Extracting #6: cost 17 inf + 66299 38.766 * * [simplify]: Extracting #7: cost 0 inf + 79813 38.788 * * [simplify]: Extracting #8: cost 0 inf + 78715 38.813 * * [simplify]: Extracting #9: cost 0 inf + 78714 38.836 * [simplify]: Simplified to (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k))) 38.836 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2)))) 38.836 * * * * [progress]: [ 167 / 209 ] simplifiying candidate # 38.837 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 38.837 * * [simplify]: iters left: 5 (7 enodes) 38.842 * * [simplify]: iters left: 4 (32 enodes) 38.854 * * [simplify]: iters left: 3 (57 enodes) 38.866 * * [simplify]: iters left: 2 (88 enodes) 38.887 * * [simplify]: iters left: 1 (156 enodes) 38.934 * * [simplify]: Extracting #0: cost 1 inf + 0 38.934 * * [simplify]: Extracting #1: cost 13 inf + 0 38.934 * * [simplify]: Extracting #2: cost 49 inf + 2 38.935 * * [simplify]: Extracting #3: cost 80 inf + 6 38.936 * * [simplify]: Extracting #4: cost 58 inf + 1840 38.937 * * [simplify]: Extracting #5: cost 22 inf + 9206 38.940 * * [simplify]: Extracting #6: cost 1 inf + 20886 38.943 * * [simplify]: Extracting #7: cost 0 inf + 21301 38.946 * * [simplify]: Extracting #8: cost 0 inf + 21130 38.949 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 38.949 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 38.949 * * * * [progress]: [ 168 / 209 ] simplifiying candidate # 38.950 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 38.950 * * [simplify]: iters left: 6 (9 enodes) 38.953 * * [simplify]: iters left: 5 (39 enodes) 38.960 * * [simplify]: iters left: 4 (60 enodes) 38.977 * * [simplify]: iters left: 3 (96 enodes) 39.022 * * [simplify]: iters left: 2 (184 enodes) 39.090 * * [simplify]: iters left: 1 (346 enodes) 39.226 * * [simplify]: Extracting #0: cost 1 inf + 0 39.226 * * [simplify]: Extracting #1: cost 3 inf + 0 39.226 * * [simplify]: Extracting #2: cost 28 inf + 0 39.231 * * [simplify]: Extracting #3: cost 98 inf + 1 39.231 * * [simplify]: Extracting #4: cost 153 inf + 92 39.232 * * [simplify]: Extracting #5: cost 150 inf + 433 39.236 * * [simplify]: Extracting #6: cost 75 inf + 12742 39.249 * * [simplify]: Extracting #7: cost 19 inf + 38728 39.266 * * [simplify]: Extracting #8: cost 0 inf + 55163 39.282 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 39.282 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (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)))) 39.283 * * * * [progress]: [ 169 / 209 ] simplifiying candidate # 39.283 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 39.283 * * [simplify]: iters left: 6 (9 enodes) 39.289 * * [simplify]: iters left: 5 (39 enodes) 39.302 * * [simplify]: iters left: 4 (61 enodes) 39.314 * * [simplify]: iters left: 3 (97 enodes) 39.336 * * [simplify]: iters left: 2 (185 enodes) 39.410 * * [simplify]: iters left: 1 (345 enodes) 39.532 * * [simplify]: Extracting #0: cost 1 inf + 0 39.532 * * [simplify]: Extracting #1: cost 4 inf + 0 39.532 * * [simplify]: Extracting #2: cost 34 inf + 0 39.533 * * [simplify]: Extracting #3: cost 112 inf + 1 39.534 * * [simplify]: Extracting #4: cost 158 inf + 94 39.536 * * [simplify]: Extracting #5: cost 153 inf + 392 39.541 * * [simplify]: Extracting #6: cost 93 inf + 14968 39.561 * * [simplify]: Extracting #7: cost 20 inf + 40912 39.574 * * [simplify]: Extracting #8: cost 0 inf + 51477 39.597 * * [simplify]: Extracting #9: cost 0 inf + 51040 39.624 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 39.624 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))) (pow n (/ (- 1 k) 2)))) 39.624 * * * * [progress]: [ 170 / 209 ] simplifiying candidate # 39.624 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 39.624 * * [simplify]: iters left: 5 (8 enodes) 39.630 * * [simplify]: iters left: 4 (36 enodes) 39.638 * * [simplify]: iters left: 3 (57 enodes) 39.649 * * [simplify]: iters left: 2 (90 enodes) 39.676 * * [simplify]: iters left: 1 (176 enodes) 39.748 * * [simplify]: Extracting #0: cost 1 inf + 0 39.748 * * [simplify]: Extracting #1: cost 13 inf + 0 39.748 * * [simplify]: Extracting #2: cost 55 inf + 1 39.749 * * [simplify]: Extracting #3: cost 86 inf + 6 39.750 * * [simplify]: Extracting #4: cost 73 inf + 1511 39.753 * * [simplify]: Extracting #5: cost 26 inf + 9176 39.759 * * [simplify]: Extracting #6: cost 2 inf + 22574 39.766 * * [simplify]: Extracting #7: cost 0 inf + 23644 39.772 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 39.772 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 39.772 * * * * [progress]: [ 171 / 209 ] simplifiying candidate # 39.773 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 39.773 * * [simplify]: iters left: 6 (9 enodes) 39.779 * * [simplify]: iters left: 5 (42 enodes) 39.792 * * [simplify]: iters left: 4 (70 enodes) 39.806 * * [simplify]: iters left: 3 (117 enodes) 39.843 * * [simplify]: iters left: 2 (232 enodes) 39.905 * * [simplify]: iters left: 1 (454 enodes) 40.135 * * [simplify]: Extracting #0: cost 1 inf + 0 40.135 * * [simplify]: Extracting #1: cost 25 inf + 0 40.136 * * [simplify]: Extracting #2: cost 104 inf + 1 40.137 * * [simplify]: Extracting #3: cost 174 inf + 94 40.139 * * [simplify]: Extracting #4: cost 157 inf + 2461 40.146 * * [simplify]: Extracting #5: cost 65 inf + 14842 40.158 * * [simplify]: Extracting #6: cost 25 inf + 35839 40.174 * * [simplify]: Extracting #7: cost 2 inf + 54310 40.192 * * [simplify]: Extracting #8: cost 0 inf + 55922 40.211 * * [simplify]: Extracting #9: cost 0 inf + 55540 40.229 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 40.229 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (pow n (/ (- 1 k) 2)))) 40.229 * * * * [progress]: [ 172 / 209 ] simplifiying candidate # 40.230 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 40.230 * * [simplify]: iters left: 6 (6 enodes) 40.237 * * [simplify]: iters left: 5 (20 enodes) 40.244 * * [simplify]: iters left: 4 (22 enodes) 40.250 * * [simplify]: Extracting #0: cost 1 inf + 0 40.251 * * [simplify]: Extracting #1: cost 3 inf + 0 40.251 * * [simplify]: Extracting #2: cost 5 inf + 0 40.251 * * [simplify]: Extracting #3: cost 8 inf + 0 40.251 * * [simplify]: Extracting #4: cost 9 inf + 1 40.251 * * [simplify]: Extracting #5: cost 8 inf + 2 40.251 * * [simplify]: Extracting #6: cost 1 inf + 774 40.251 * * [simplify]: Extracting #7: cost 0 inf + 976 40.252 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 40.252 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.252 * * * * [progress]: [ 173 / 209 ] simplifiying candidate # 40.252 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 40.252 * * [simplify]: iters left: 4 (5 enodes) 40.255 * * [simplify]: iters left: 3 (17 enodes) 40.260 * * [simplify]: iters left: 2 (19 enodes) 40.266 * * [simplify]: Extracting #0: cost 1 inf + 0 40.266 * * [simplify]: Extracting #1: cost 3 inf + 0 40.266 * * [simplify]: Extracting #2: cost 6 inf + 0 40.266 * * [simplify]: Extracting #3: cost 7 inf + 1 40.266 * * [simplify]: Extracting #4: cost 0 inf + 492 40.267 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 40.267 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.267 * * * * [progress]: [ 174 / 209 ] simplifiying candidate # 40.267 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.267 * * [simplify]: iters left: 6 (8 enodes) 40.272 * * [simplify]: iters left: 5 (32 enodes) 40.282 * * [simplify]: iters left: 4 (48 enodes) 40.290 * * [simplify]: iters left: 3 (76 enodes) 40.301 * * [simplify]: iters left: 2 (81 enodes) 40.307 * * [simplify]: Extracting #0: cost 1 inf + 0 40.307 * * [simplify]: Extracting #1: cost 6 inf + 0 40.307 * * [simplify]: Extracting #2: cost 9 inf + 1 40.308 * * [simplify]: Extracting #3: cost 11 inf + 1 40.308 * * [simplify]: Extracting #4: cost 2 inf + 1052 40.308 * * [simplify]: Extracting #5: cost 0 inf + 1376 40.308 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.308 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.308 * * * * [progress]: [ 175 / 209 ] simplifiying candidate # 40.308 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 40.309 * * [simplify]: iters left: 6 (8 enodes) 40.311 * * [simplify]: iters left: 5 (29 enodes) 40.316 * * [simplify]: iters left: 4 (31 enodes) 40.320 * * [simplify]: Extracting #0: cost 1 inf + 0 40.320 * * [simplify]: Extracting #1: cost 4 inf + 0 40.320 * * [simplify]: Extracting #2: cost 6 inf + 1 40.320 * * [simplify]: Extracting #3: cost 9 inf + 1 40.320 * * [simplify]: Extracting #4: cost 8 inf + 2 40.321 * * [simplify]: Extracting #5: cost 2 inf + 729 40.321 * * [simplify]: Extracting #6: cost 0 inf + 972 40.321 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 40.321 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.321 * * * * [progress]: [ 176 / 209 ] simplifiying candidate # 40.322 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 40.322 * * [simplify]: iters left: 5 (7 enodes) 40.326 * * [simplify]: iters left: 4 (25 enodes) 40.333 * * [simplify]: iters left: 3 (27 enodes) 40.339 * * [simplify]: Extracting #0: cost 1 inf + 0 40.339 * * [simplify]: Extracting #1: cost 4 inf + 0 40.339 * * [simplify]: Extracting #2: cost 5 inf + 1 40.339 * * [simplify]: Extracting #3: cost 7 inf + 1 40.339 * * [simplify]: Extracting #4: cost 6 inf + 2 40.339 * * [simplify]: Extracting #5: cost 2 inf + 368 40.340 * * [simplify]: Extracting #6: cost 0 inf + 490 40.340 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.340 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.340 * * * * [progress]: [ 177 / 209 ] simplifiying candidate # 40.340 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 40.340 * * [simplify]: iters left: 5 (5 enodes) 40.348 * * [simplify]: iters left: 4 (19 enodes) 40.351 * * [simplify]: iters left: 3 (21 enodes) 40.353 * * [simplify]: Extracting #0: cost 1 inf + 0 40.353 * * [simplify]: Extracting #1: cost 0 inf + 1 40.353 * [simplify]: Simplified to 1 40.353 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.354 * * * * [progress]: [ 178 / 209 ] simplifiying candidate # 40.354 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 40.354 * * [simplify]: iters left: 5 (7 enodes) 40.356 * * [simplify]: iters left: 4 (25 enodes) 40.360 * * [simplify]: iters left: 3 (27 enodes) 40.364 * * [simplify]: Extracting #0: cost 1 inf + 0 40.364 * * [simplify]: Extracting #1: cost 4 inf + 0 40.364 * * [simplify]: Extracting #2: cost 5 inf + 1 40.364 * * [simplify]: Extracting #3: cost 7 inf + 1 40.364 * * [simplify]: Extracting #4: cost 6 inf + 2 40.364 * * [simplify]: Extracting #5: cost 2 inf + 368 40.365 * * [simplify]: Extracting #6: cost 0 inf + 490 40.365 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.365 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.365 * * * * [progress]: [ 179 / 209 ] simplifiying candidate # 40.365 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 40.365 * * [simplify]: iters left: 5 (4 enodes) 40.370 * * [simplify]: iters left: 4 (14 enodes) 40.373 * * [simplify]: iters left: 3 (16 enodes) 40.376 * * [simplify]: Extracting #0: cost 1 inf + 0 40.376 * * [simplify]: Extracting #1: cost 0 inf + 1 40.376 * [simplify]: Simplified to 1 40.376 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.376 * * * * [progress]: [ 180 / 209 ] simplifiying candidate # 40.377 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.377 * * [simplify]: iters left: 6 (7 enodes) 40.382 * * [simplify]: iters left: 5 (25 enodes) 40.390 * * [simplify]: iters left: 4 (32 enodes) 40.398 * * [simplify]: iters left: 3 (34 enodes) 40.407 * * [simplify]: Extracting #0: cost 1 inf + 0 40.407 * * [simplify]: Extracting #1: cost 7 inf + 0 40.407 * * [simplify]: Extracting #2: cost 11 inf + 1 40.407 * * [simplify]: Extracting #3: cost 13 inf + 1 40.407 * * [simplify]: Extracting #4: cost 10 inf + 84 40.407 * * [simplify]: Extracting #5: cost 4 inf + 1014 40.408 * * [simplify]: Extracting #6: cost 1 inf + 1498 40.408 * * [simplify]: Extracting #7: cost 0 inf + 1700 40.409 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 40.409 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.409 * * * * [progress]: [ 181 / 209 ] simplifiying candidate # 40.409 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 40.409 * * [simplify]: iters left: 6 (7 enodes) 40.413 * * [simplify]: iters left: 5 (24 enodes) 40.417 * * [simplify]: iters left: 4 (26 enodes) 40.420 * * [simplify]: Extracting #0: cost 1 inf + 0 40.420 * * [simplify]: Extracting #1: cost 4 inf + 0 40.420 * * [simplify]: Extracting #2: cost 6 inf + 1 40.420 * * [simplify]: Extracting #3: cost 9 inf + 1 40.420 * * [simplify]: Extracting #4: cost 8 inf + 2 40.420 * * [simplify]: Extracting #5: cost 2 inf + 730 40.421 * * [simplify]: Extracting #6: cost 0 inf + 972 40.421 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 40.421 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.421 * * * * [progress]: [ 182 / 209 ] simplifiying candidate # 40.421 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 40.421 * * [simplify]: iters left: 4 (6 enodes) 40.423 * * [simplify]: iters left: 3 (20 enodes) 40.426 * * [simplify]: iters left: 2 (22 enodes) 40.429 * * [simplify]: Extracting #0: cost 1 inf + 0 40.429 * * [simplify]: Extracting #1: cost 4 inf + 0 40.429 * * [simplify]: Extracting #2: cost 5 inf + 1 40.429 * * [simplify]: Extracting #3: cost 7 inf + 1 40.429 * * [simplify]: Extracting #4: cost 1 inf + 368 40.429 * * [simplify]: Extracting #5: cost 0 inf + 490 40.430 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.430 * * * * [progress]: [ 183 / 209 ] simplifiying candidate # 40.430 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 40.430 * * [simplify]: iters left: 3 (3 enodes) 40.432 * * [simplify]: iters left: 2 (9 enodes) 40.433 * * [simplify]: iters left: 1 (11 enodes) 40.435 * * [simplify]: Extracting #0: cost 1 inf + 0 40.435 * * [simplify]: Extracting #1: cost 0 inf + 1 40.435 * [simplify]: Simplified to 1 40.435 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.435 * * * * [progress]: [ 184 / 209 ] simplifiying candidate # 40.435 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 40.435 * * [simplify]: iters left: 4 (6 enodes) 40.437 * * [simplify]: iters left: 3 (20 enodes) 40.440 * * [simplify]: iters left: 2 (22 enodes) 40.444 * * [simplify]: Extracting #0: cost 1 inf + 0 40.444 * * [simplify]: Extracting #1: cost 4 inf + 0 40.444 * * [simplify]: Extracting #2: cost 5 inf + 1 40.444 * * [simplify]: Extracting #3: cost 7 inf + 1 40.444 * * [simplify]: Extracting #4: cost 1 inf + 368 40.444 * * [simplify]: Extracting #5: cost 0 inf + 490 40.444 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.444 * * * * [progress]: [ 185 / 209 ] simplifiying candidate # 40.444 * [simplify]: Simplifying (/ (sqrt 1) 1) 40.444 * * [simplify]: iters left: 3 (3 enodes) 40.447 * * [simplify]: iters left: 2 (9 enodes) 40.448 * * [simplify]: iters left: 1 (11 enodes) 40.450 * * [simplify]: Extracting #0: cost 1 inf + 0 40.450 * * [simplify]: Extracting #1: cost 0 inf + 1 40.450 * [simplify]: Simplified to 1 40.450 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.450 * * * * [progress]: [ 186 / 209 ] simplifiying candidate # 40.450 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.450 * * [simplify]: iters left: 6 (6 enodes) 40.454 * * [simplify]: iters left: 5 (22 enodes) 40.458 * * [simplify]: iters left: 4 (26 enodes) 40.461 * * [simplify]: Extracting #0: cost 1 inf + 0 40.461 * * [simplify]: Extracting #1: cost 6 inf + 0 40.462 * * [simplify]: Extracting #2: cost 9 inf + 1 40.462 * * [simplify]: Extracting #3: cost 11 inf + 1 40.462 * * [simplify]: Extracting #4: cost 8 inf + 84 40.462 * * [simplify]: Extracting #5: cost 2 inf + 1013 40.462 * * [simplify]: Extracting #6: cost 0 inf + 1376 40.462 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 40.462 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.462 * * * * [progress]: [ 187 / 209 ] simplifiying candidate # 40.463 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 40.463 * * [simplify]: iters left: 6 (6 enodes) 40.464 * * [simplify]: iters left: 5 (21 enodes) 40.467 * * [simplify]: iters left: 4 (23 enodes) 40.471 * * [simplify]: Extracting #0: cost 1 inf + 0 40.471 * * [simplify]: Extracting #1: cost 4 inf + 0 40.471 * * [simplify]: Extracting #2: cost 6 inf + 1 40.471 * * [simplify]: Extracting #3: cost 9 inf + 1 40.471 * * [simplify]: Extracting #4: cost 8 inf + 2 40.472 * * [simplify]: Extracting #5: cost 1 inf + 810 40.472 * * [simplify]: Extracting #6: cost 0 inf + 972 40.472 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 40.472 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.472 * * * * [progress]: [ 188 / 209 ] simplifiying candidate # 40.472 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 40.472 * * [simplify]: iters left: 4 (5 enodes) 40.473 * * [simplify]: iters left: 3 (17 enodes) 40.476 * * [simplify]: iters left: 2 (19 enodes) 40.479 * * [simplify]: Extracting #0: cost 1 inf + 0 40.479 * * [simplify]: Extracting #1: cost 4 inf + 0 40.479 * * [simplify]: Extracting #2: cost 5 inf + 1 40.479 * * [simplify]: Extracting #3: cost 7 inf + 1 40.479 * * [simplify]: Extracting #4: cost 0 inf + 490 40.479 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.479 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.479 * * * * [progress]: [ 189 / 209 ] simplifiying candidate # 40.479 * [simplify]: Simplifying (/ 1 (sqrt 1)) 40.479 * * [simplify]: iters left: 3 (3 enodes) 40.484 * * [simplify]: iters left: 2 (11 enodes) 40.487 * * [simplify]: iters left: 1 (13 enodes) 40.491 * * [simplify]: Extracting #0: cost 1 inf + 0 40.491 * * [simplify]: Extracting #1: cost 0 inf + 1 40.491 * [simplify]: Simplified to 1 40.491 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.491 * * * * [progress]: [ 190 / 209 ] simplifiying candidate # 40.492 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 40.492 * * [simplify]: iters left: 4 (5 enodes) 40.494 * * [simplify]: iters left: 3 (17 enodes) 40.500 * * [simplify]: iters left: 2 (19 enodes) 40.505 * * [simplify]: Extracting #0: cost 1 inf + 0 40.505 * * [simplify]: Extracting #1: cost 4 inf + 0 40.505 * * [simplify]: Extracting #2: cost 5 inf + 1 40.505 * * [simplify]: Extracting #3: cost 7 inf + 1 40.506 * * [simplify]: Extracting #4: cost 0 inf + 490 40.506 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 40.506 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.506 * * * * [progress]: [ 191 / 209 ] simplifiying candidate # 40.506 * [simplify]: Simplifying (/ 1 1) 40.506 * * [simplify]: iters left: 2 (2 enodes) 40.508 * * [simplify]: iters left: 1 (6 enodes) 40.509 * * [simplify]: Extracting #0: cost 1 inf + 0 40.509 * * [simplify]: Extracting #1: cost 0 inf + 1 40.509 * [simplify]: Simplified to 1 40.509 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2)))) 40.509 * * * * [progress]: [ 192 / 209 ] simplifiying candidate # 40.509 * * * * [progress]: [ 193 / 209 ] simplifiying candidate # 40.509 * * * * [progress]: [ 194 / 209 ] simplifiying candidate # 40.509 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 40.509 * * [simplify]: iters left: 3 (6 enodes) 40.511 * * [simplify]: iters left: 2 (22 enodes) 40.515 * * [simplify]: iters left: 1 (34 enodes) 40.521 * * [simplify]: Extracting #0: cost 1 inf + 0 40.521 * * [simplify]: Extracting #1: cost 10 inf + 0 40.521 * * [simplify]: Extracting #2: cost 26 inf + 0 40.521 * * [simplify]: Extracting #3: cost 23 inf + 128 40.521 * * [simplify]: Extracting #4: cost 10 inf + 1713 40.522 * * [simplify]: Extracting #5: cost 0 inf + 4919 40.522 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 40.522 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (pow n (/ (- 1 k) 2)))) 40.522 * * * * [progress]: [ 195 / 209 ] simplifiying candidate # 40.523 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (- 1 k) 2))) 40.523 * * [simplify]: iters left: 6 (9 enodes) 40.526 * * [simplify]: iters left: 5 (38 enodes) 40.533 * * [simplify]: iters left: 4 (65 enodes) 40.544 * * [simplify]: iters left: 3 (103 enodes) 40.583 * * [simplify]: iters left: 2 (194 enodes) 40.643 * * [simplify]: iters left: 1 (352 enodes) 40.742 * * [simplify]: Extracting #0: cost 1 inf + 0 40.742 * * [simplify]: Extracting #1: cost 19 inf + 0 40.742 * * [simplify]: Extracting #2: cost 73 inf + 2 40.742 * * [simplify]: Extracting #3: cost 121 inf + 7 40.743 * * [simplify]: Extracting #4: cost 133 inf + 473 40.745 * * [simplify]: Extracting #5: cost 77 inf + 5858 40.753 * * [simplify]: Extracting #6: cost 25 inf + 23229 40.766 * * [simplify]: Extracting #7: cost 1 inf + 40742 40.781 * * [simplify]: Extracting #8: cost 0 inf + 41408 40.791 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 2)) 40.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k)) (pow n (/ (- 1 k) 2)))) 40.792 * * * * [progress]: [ 196 / 209 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))> 40.792 * * * * [progress]: [ 197 / 209 ] simplifiying candidate # 40.792 * * * * [progress]: [ 198 / 209 ] simplifiying candidate # 40.792 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 40.792 * * [simplify]: iters left: 6 (18 enodes) 40.798 * * [simplify]: iters left: 5 (83 enodes) 40.815 * * [simplify]: iters left: 4 (217 enodes) 40.893 * * [simplify]: Extracting #0: cost 1 inf + 0 40.893 * * [simplify]: Extracting #1: cost 30 inf + 0 40.893 * * [simplify]: Extracting #2: cost 133 inf + 3 40.894 * * [simplify]: Extracting #3: cost 153 inf + 1555 40.897 * * [simplify]: Extracting #4: cost 48 inf + 27042 40.907 * * [simplify]: Extracting #5: cost 1 inf + 39385 40.923 * * [simplify]: Extracting #6: cost 0 inf + 39357 40.936 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 40.936 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))))) 40.936 * * * * [progress]: [ 199 / 209 ] simplifiying candidate # 40.936 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 40.936 * * [simplify]: iters left: 6 (10 enodes) 40.943 * * [simplify]: iters left: 5 (44 enodes) 40.952 * * [simplify]: iters left: 4 (87 enodes) 40.969 * * [simplify]: iters left: 3 (211 enodes) 41.045 * * [simplify]: Extracting #0: cost 1 inf + 0 41.045 * * [simplify]: Extracting #1: cost 32 inf + 0 41.046 * * [simplify]: Extracting #2: cost 115 inf + 2 41.047 * * [simplify]: Extracting #3: cost 148 inf + 1208 41.052 * * [simplify]: Extracting #4: cost 61 inf + 14505 41.061 * * [simplify]: Extracting #5: cost 8 inf + 26237 41.070 * * [simplify]: Extracting #6: cost 1 inf + 30263 41.080 * * [simplify]: Extracting #7: cost 0 inf + 31149 41.090 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 41.090 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* (log n) (* 1/2 (- 1 k)))))) 41.091 * * * * [progress]: [ 200 / 209 ] simplifiying candidate # 41.091 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 41.091 * * [simplify]: iters left: 6 (13 enodes) 41.099 * * [simplify]: iters left: 5 (53 enodes) 41.114 * * [simplify]: iters left: 4 (109 enodes) 41.143 * * [simplify]: iters left: 3 (311 enodes) 41.294 * * [simplify]: Extracting #0: cost 1 inf + 0 41.295 * * [simplify]: Extracting #1: cost 34 inf + 0 41.295 * * [simplify]: Extracting #2: cost 135 inf + 73 41.296 * * [simplify]: Extracting #3: cost 194 inf + 2919 41.299 * * [simplify]: Extracting #4: cost 87 inf + 21540 41.305 * * [simplify]: Extracting #5: cost 7 inf + 41330 41.317 * * [simplify]: Extracting #6: cost 0 inf + 43042 41.330 * * [simplify]: Extracting #7: cost 0 inf + 43035 41.346 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 41.346 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (exp (- (log n) (* k (log n))))))) 41.346 * * * * [progress]: [ 201 / 209 ] simplifiying candidate # 41.347 * [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)))) 41.347 * * [simplify]: iters left: 6 (22 enodes) 41.361 * * [simplify]: iters left: 5 (109 enodes) 41.405 * * [simplify]: iters left: 4 (274 enodes) 41.521 * * [simplify]: Extracting #0: cost 1 inf + 0 41.521 * * [simplify]: Extracting #1: cost 28 inf + 0 41.522 * * [simplify]: Extracting #2: cost 210 inf + 3 41.524 * * [simplify]: Extracting #3: cost 248 inf + 10395 41.537 * * [simplify]: Extracting #4: cost 119 inf + 43002 41.549 * * [simplify]: Extracting #5: cost 35 inf + 63116 41.564 * * [simplify]: Extracting #6: cost 0 inf + 72981 41.578 * [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))) 41.578 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (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)))) (pow n (/ (- 1 k) 2)))) 41.578 * * * * [progress]: [ 202 / 209 ] simplifiying candidate # 41.578 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 41.578 * * [simplify]: iters left: 6 (11 enodes) 41.582 * * [simplify]: iters left: 5 (47 enodes) 41.598 * * [simplify]: iters left: 4 (98 enodes) 41.643 * * [simplify]: iters left: 3 (258 enodes) 41.764 * * [simplify]: Extracting #0: cost 1 inf + 0 41.764 * * [simplify]: Extracting #1: cost 32 inf + 0 41.764 * * [simplify]: Extracting #2: cost 122 inf + 72 41.765 * * [simplify]: Extracting #3: cost 169 inf + 851 41.766 * * [simplify]: Extracting #4: cost 116 inf + 8262 41.770 * * [simplify]: Extracting #5: cost 40 inf + 25273 41.776 * * [simplify]: Extracting #6: cost 4 inf + 33510 41.785 * * [simplify]: Extracting #7: cost 0 inf + 35739 41.799 * * [simplify]: Extracting #8: cost 0 inf + 35654 41.812 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 41.812 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2)))) 41.812 * * * * [progress]: [ 203 / 209 ] simplifiying candidate # 41.812 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 41.813 * * [simplify]: iters left: 6 (11 enodes) 41.820 * * [simplify]: iters left: 5 (47 enodes) 41.838 * * [simplify]: iters left: 4 (98 enodes) 41.867 * * [simplify]: iters left: 3 (258 enodes) 41.943 * * [simplify]: Extracting #0: cost 1 inf + 0 41.943 * * [simplify]: Extracting #1: cost 32 inf + 0 41.943 * * [simplify]: Extracting #2: cost 122 inf + 72 41.944 * * [simplify]: Extracting #3: cost 169 inf + 851 41.946 * * [simplify]: Extracting #4: cost 116 inf + 8262 41.955 * * [simplify]: Extracting #5: cost 40 inf + 25273 41.967 * * [simplify]: Extracting #6: cost 4 inf + 33510 41.980 * * [simplify]: Extracting #7: cost 0 inf + 35739 41.993 * * [simplify]: Extracting #8: cost 0 inf + 35654 42.005 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 42.005 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2)))) 42.005 * * * * [progress]: [ 204 / 209 ] simplifiying candidate # 42.006 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 42.006 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 42.006 * * * * [progress]: [ 205 / 209 ] simplifiying candidate # 42.006 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 42.006 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 42.006 * * * * [progress]: [ 206 / 209 ] simplifiying candidate # 42.006 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 42.006 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 42.006 * * * * [progress]: [ 207 / 209 ] simplifiying candidate # 42.006 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))) 42.006 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 42.007 * * * * [progress]: [ 208 / 209 ] simplifiying candidate # 42.007 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 42.007 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 42.007 * * * * [progress]: [ 209 / 209 ] simplifiying candidate # 42.007 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))) 42.007 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2)))) 42.007 * * * [progress]: adding candidates to table 44.834 * * [progress]: iteration 3 / 4 44.834 * * * [progress]: picking best candidate 44.865 * * * * [pick]: Picked # 44.865 * * * [progress]: localizing error 44.923 * * * [progress]: generating rewritten candidates 44.923 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 44.934 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 44.944 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 45.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 45.708 * * * [progress]: generating series expansions 45.708 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 45.709 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 45.709 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 45.709 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 45.709 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 45.709 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 45.709 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 45.709 * [taylor]: Taking taylor expansion of 1/2 in k 45.709 * [backup-simplify]: Simplify 1/2 into 1/2 45.709 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.709 * [taylor]: Taking taylor expansion of 1 in k 45.709 * [backup-simplify]: Simplify 1 into 1 45.709 * [taylor]: Taking taylor expansion of k in k 45.709 * [backup-simplify]: Simplify 0 into 0 45.709 * [backup-simplify]: Simplify 1 into 1 45.709 * [taylor]: Taking taylor expansion of (log n) in k 45.709 * [taylor]: Taking taylor expansion of n in k 45.709 * [backup-simplify]: Simplify n into n 45.709 * [backup-simplify]: Simplify (log n) into (log n) 45.714 * [backup-simplify]: Simplify (- 0) into 0 45.715 * [backup-simplify]: Simplify (+ 1 0) into 1 45.715 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.715 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 45.715 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 45.715 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 45.715 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 45.715 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 45.715 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 45.715 * [taylor]: Taking taylor expansion of 1/2 in n 45.715 * [backup-simplify]: Simplify 1/2 into 1/2 45.715 * [taylor]: Taking taylor expansion of (- 1 k) in n 45.715 * [taylor]: Taking taylor expansion of 1 in n 45.715 * [backup-simplify]: Simplify 1 into 1 45.715 * [taylor]: Taking taylor expansion of k in n 45.715 * [backup-simplify]: Simplify k into k 45.715 * [taylor]: Taking taylor expansion of (log n) in n 45.715 * [taylor]: Taking taylor expansion of n in n 45.715 * [backup-simplify]: Simplify 0 into 0 45.715 * [backup-simplify]: Simplify 1 into 1 45.716 * [backup-simplify]: Simplify (log 1) into 0 45.716 * [backup-simplify]: Simplify (- k) into (- k) 45.716 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 45.716 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 45.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.716 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 45.716 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 45.716 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 45.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 45.716 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 45.716 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 45.716 * [taylor]: Taking taylor expansion of 1/2 in n 45.716 * [backup-simplify]: Simplify 1/2 into 1/2 45.716 * [taylor]: Taking taylor expansion of (- 1 k) in n 45.716 * [taylor]: Taking taylor expansion of 1 in n 45.717 * [backup-simplify]: Simplify 1 into 1 45.717 * [taylor]: Taking taylor expansion of k in n 45.717 * [backup-simplify]: Simplify k into k 45.717 * [taylor]: Taking taylor expansion of (log n) in n 45.717 * [taylor]: Taking taylor expansion of n in n 45.717 * [backup-simplify]: Simplify 0 into 0 45.717 * [backup-simplify]: Simplify 1 into 1 45.717 * [backup-simplify]: Simplify (log 1) into 0 45.717 * [backup-simplify]: Simplify (- k) into (- k) 45.717 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 45.717 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 45.718 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.718 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 45.718 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 45.718 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 45.718 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 45.718 * [taylor]: Taking taylor expansion of 1/2 in k 45.718 * [backup-simplify]: Simplify 1/2 into 1/2 45.718 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 45.719 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.719 * [taylor]: Taking taylor expansion of 1 in k 45.719 * [backup-simplify]: Simplify 1 into 1 45.719 * [taylor]: Taking taylor expansion of k in k 45.719 * [backup-simplify]: Simplify 0 into 0 45.719 * [backup-simplify]: Simplify 1 into 1 45.719 * [taylor]: Taking taylor expansion of (log n) in k 45.719 * [taylor]: Taking taylor expansion of n in k 45.719 * [backup-simplify]: Simplify n into n 45.719 * [backup-simplify]: Simplify (log n) into (log n) 45.719 * [backup-simplify]: Simplify (- 0) into 0 45.720 * [backup-simplify]: Simplify (+ 1 0) into 1 45.720 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 45.720 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 45.720 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 45.720 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 45.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 45.722 * [backup-simplify]: Simplify (- 0) into 0 45.723 * [backup-simplify]: Simplify (+ 0 0) into 0 45.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 45.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.724 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 45.725 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 45.725 * [taylor]: Taking taylor expansion of 0 in k 45.725 * [backup-simplify]: Simplify 0 into 0 45.725 * [backup-simplify]: Simplify 0 into 0 45.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 45.726 * [backup-simplify]: Simplify (- 1) into -1 45.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 45.727 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 45.727 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 45.727 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 45.728 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 45.731 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 45.731 * [backup-simplify]: Simplify (- 0) into 0 45.731 * [backup-simplify]: Simplify (+ 0 0) into 0 45.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 45.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.733 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 45.735 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 45.735 * [taylor]: Taking taylor expansion of 0 in k 45.735 * [backup-simplify]: Simplify 0 into 0 45.735 * [backup-simplify]: Simplify 0 into 0 45.735 * [backup-simplify]: Simplify 0 into 0 45.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 45.737 * [backup-simplify]: Simplify (- 0) into 0 45.737 * [backup-simplify]: Simplify (+ 0 0) into 0 45.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 45.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 45.740 * [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))) 45.740 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 45.741 * [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)))) 45.741 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 45.741 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 45.741 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 45.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 45.741 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 45.741 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 45.741 * [taylor]: Taking taylor expansion of 1/2 in k 45.741 * [backup-simplify]: Simplify 1/2 into 1/2 45.741 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 45.741 * [taylor]: Taking taylor expansion of 1 in k 45.741 * [backup-simplify]: Simplify 1 into 1 45.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.741 * [taylor]: Taking taylor expansion of k in k 45.741 * [backup-simplify]: Simplify 0 into 0 45.741 * [backup-simplify]: Simplify 1 into 1 45.742 * [backup-simplify]: Simplify (/ 1 1) into 1 45.742 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 45.742 * [taylor]: Taking taylor expansion of (/ 1 n) in k 45.742 * [taylor]: Taking taylor expansion of n in k 45.742 * [backup-simplify]: Simplify n into n 45.742 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 45.742 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 45.742 * [backup-simplify]: Simplify (- 1) into -1 45.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 45.743 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 45.743 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 45.743 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 45.744 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 45.744 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 45.744 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 45.744 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 45.744 * [taylor]: Taking taylor expansion of 1/2 in n 45.744 * [backup-simplify]: Simplify 1/2 into 1/2 45.744 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 45.744 * [taylor]: Taking taylor expansion of 1 in n 45.744 * [backup-simplify]: Simplify 1 into 1 45.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 45.744 * [taylor]: Taking taylor expansion of k in n 45.744 * [backup-simplify]: Simplify k into k 45.744 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 45.744 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 45.744 * [taylor]: Taking taylor expansion of (/ 1 n) in n 45.744 * [taylor]: Taking taylor expansion of n in n 45.744 * [backup-simplify]: Simplify 0 into 0 45.744 * [backup-simplify]: Simplify 1 into 1 45.744 * [backup-simplify]: Simplify (/ 1 1) into 1 45.745 * [backup-simplify]: Simplify (log 1) into 0 45.745 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 45.745 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 45.745 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 45.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 45.746 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 45.746 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 45.746 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 45.746 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 45.746 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 45.746 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 45.746 * [taylor]: Taking taylor expansion of 1/2 in n 45.746 * [backup-simplify]: Simplify 1/2 into 1/2 45.746 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 45.746 * [taylor]: Taking taylor expansion of 1 in n 45.746 * [backup-simplify]: Simplify 1 into 1 45.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 45.746 * [taylor]: Taking taylor expansion of k in n 45.746 * [backup-simplify]: Simplify k into k 45.746 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 45.746 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 45.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 45.746 * [taylor]: Taking taylor expansion of n in n 45.746 * [backup-simplify]: Simplify 0 into 0 45.746 * [backup-simplify]: Simplify 1 into 1 45.747 * [backup-simplify]: Simplify (/ 1 1) into 1 45.747 * [backup-simplify]: Simplify (log 1) into 0 45.747 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 45.747 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 45.748 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 45.748 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 45.748 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 45.748 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 45.748 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 45.748 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 45.748 * [taylor]: Taking taylor expansion of -1/2 in k 45.748 * [backup-simplify]: Simplify -1/2 into -1/2 45.748 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 45.748 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 45.748 * [taylor]: Taking taylor expansion of 1 in k 45.748 * [backup-simplify]: Simplify 1 into 1 45.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.748 * [taylor]: Taking taylor expansion of k in k 45.748 * [backup-simplify]: Simplify 0 into 0 45.748 * [backup-simplify]: Simplify 1 into 1 45.749 * [backup-simplify]: Simplify (/ 1 1) into 1 45.749 * [taylor]: Taking taylor expansion of (log n) in k 45.749 * [taylor]: Taking taylor expansion of n in k 45.749 * [backup-simplify]: Simplify n into n 45.749 * [backup-simplify]: Simplify (log n) into (log n) 45.749 * [backup-simplify]: Simplify (- 1) into -1 45.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 45.749 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 45.749 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 45.750 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 45.750 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 45.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 45.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 45.751 * [backup-simplify]: Simplify (- 0) into 0 45.751 * [backup-simplify]: Simplify (+ 0 0) into 0 45.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 45.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 45.752 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 45.753 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 45.753 * [taylor]: Taking taylor expansion of 0 in k 45.753 * [backup-simplify]: Simplify 0 into 0 45.753 * [backup-simplify]: Simplify 0 into 0 45.753 * [backup-simplify]: Simplify 0 into 0 45.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 45.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 45.755 * [backup-simplify]: Simplify (- 0) into 0 45.756 * [backup-simplify]: Simplify (+ 0 0) into 0 45.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 45.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 45.757 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 45.757 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 45.758 * [taylor]: Taking taylor expansion of 0 in k 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify 0 into 0 45.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.761 * [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 45.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 45.761 * [backup-simplify]: Simplify (- 0) into 0 45.762 * [backup-simplify]: Simplify (+ 0 0) into 0 45.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 45.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 45.763 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 45.764 * [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 45.764 * [taylor]: Taking taylor expansion of 0 in k 45.764 * [backup-simplify]: Simplify 0 into 0 45.764 * [backup-simplify]: Simplify 0 into 0 45.764 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 45.765 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 45.765 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 45.765 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 45.765 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 45.765 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 45.765 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 45.765 * [taylor]: Taking taylor expansion of 1/2 in k 45.765 * [backup-simplify]: Simplify 1/2 into 1/2 45.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 45.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.765 * [taylor]: Taking taylor expansion of k in k 45.765 * [backup-simplify]: Simplify 0 into 0 45.765 * [backup-simplify]: Simplify 1 into 1 45.765 * [backup-simplify]: Simplify (/ 1 1) into 1 45.765 * [taylor]: Taking taylor expansion of 1 in k 45.765 * [backup-simplify]: Simplify 1 into 1 45.765 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 45.765 * [taylor]: Taking taylor expansion of (/ -1 n) in k 45.765 * [taylor]: Taking taylor expansion of -1 in k 45.765 * [backup-simplify]: Simplify -1 into -1 45.765 * [taylor]: Taking taylor expansion of n in k 45.765 * [backup-simplify]: Simplify n into n 45.765 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 45.765 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 45.766 * [backup-simplify]: Simplify (+ 1 0) into 1 45.766 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.766 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 45.766 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 45.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 45.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 45.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 45.766 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 45.766 * [taylor]: Taking taylor expansion of 1/2 in n 45.766 * [backup-simplify]: Simplify 1/2 into 1/2 45.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 45.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 45.766 * [taylor]: Taking taylor expansion of k in n 45.766 * [backup-simplify]: Simplify k into k 45.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 45.766 * [taylor]: Taking taylor expansion of 1 in n 45.766 * [backup-simplify]: Simplify 1 into 1 45.766 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 45.766 * [taylor]: Taking taylor expansion of (/ -1 n) in n 45.766 * [taylor]: Taking taylor expansion of -1 in n 45.766 * [backup-simplify]: Simplify -1 into -1 45.766 * [taylor]: Taking taylor expansion of n in n 45.766 * [backup-simplify]: Simplify 0 into 0 45.766 * [backup-simplify]: Simplify 1 into 1 45.767 * [backup-simplify]: Simplify (/ -1 1) into -1 45.767 * [backup-simplify]: Simplify (log -1) into (log -1) 45.767 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 45.767 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 45.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 45.768 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 45.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 45.768 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 45.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 45.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 45.768 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 45.768 * [taylor]: Taking taylor expansion of 1/2 in n 45.768 * [backup-simplify]: Simplify 1/2 into 1/2 45.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 45.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 45.768 * [taylor]: Taking taylor expansion of k in n 45.768 * [backup-simplify]: Simplify k into k 45.768 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 45.768 * [taylor]: Taking taylor expansion of 1 in n 45.768 * [backup-simplify]: Simplify 1 into 1 45.768 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 45.768 * [taylor]: Taking taylor expansion of (/ -1 n) in n 45.768 * [taylor]: Taking taylor expansion of -1 in n 45.768 * [backup-simplify]: Simplify -1 into -1 45.768 * [taylor]: Taking taylor expansion of n in n 45.769 * [backup-simplify]: Simplify 0 into 0 45.769 * [backup-simplify]: Simplify 1 into 1 45.769 * [backup-simplify]: Simplify (/ -1 1) into -1 45.769 * [backup-simplify]: Simplify (log -1) into (log -1) 45.769 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 45.769 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 45.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 45.770 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 45.770 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 45.770 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 45.770 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 45.770 * [taylor]: Taking taylor expansion of 1/2 in k 45.770 * [backup-simplify]: Simplify 1/2 into 1/2 45.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 45.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 45.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.770 * [taylor]: Taking taylor expansion of k in k 45.771 * [backup-simplify]: Simplify 0 into 0 45.771 * [backup-simplify]: Simplify 1 into 1 45.771 * [backup-simplify]: Simplify (/ 1 1) into 1 45.771 * [taylor]: Taking taylor expansion of 1 in k 45.771 * [backup-simplify]: Simplify 1 into 1 45.771 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 45.771 * [taylor]: Taking taylor expansion of (log -1) in k 45.771 * [taylor]: Taking taylor expansion of -1 in k 45.771 * [backup-simplify]: Simplify -1 into -1 45.771 * [backup-simplify]: Simplify (log -1) into (log -1) 45.771 * [taylor]: Taking taylor expansion of (log n) in k 45.771 * [taylor]: Taking taylor expansion of n in k 45.771 * [backup-simplify]: Simplify n into n 45.771 * [backup-simplify]: Simplify (log n) into (log n) 45.771 * [backup-simplify]: Simplify (+ 1 0) into 1 45.772 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 45.772 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 45.772 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 45.772 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 45.773 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 45.773 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 45.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 45.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 45.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 45.775 * [backup-simplify]: Simplify (+ 0 0) into 0 45.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 45.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 45.776 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 45.777 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 45.777 * [taylor]: Taking taylor expansion of 0 in k 45.777 * [backup-simplify]: Simplify 0 into 0 45.777 * [backup-simplify]: Simplify 0 into 0 45.777 * [backup-simplify]: Simplify 0 into 0 45.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 45.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 45.782 * [backup-simplify]: Simplify (+ 0 0) into 0 45.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 45.784 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 45.785 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 45.787 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 45.787 * [taylor]: Taking taylor expansion of 0 in k 45.787 * [backup-simplify]: Simplify 0 into 0 45.787 * [backup-simplify]: Simplify 0 into 0 45.787 * [backup-simplify]: Simplify 0 into 0 45.787 * [backup-simplify]: Simplify 0 into 0 45.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.793 * [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 45.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 45.794 * [backup-simplify]: Simplify (+ 0 0) into 0 45.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 45.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 45.796 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 45.798 * [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 45.798 * [taylor]: Taking taylor expansion of 0 in k 45.798 * [backup-simplify]: Simplify 0 into 0 45.798 * [backup-simplify]: Simplify 0 into 0 45.798 * [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)))))) 45.798 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 45.798 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 45.798 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 45.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 45.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.798 * [taylor]: Taking taylor expansion of k in k 45.798 * [backup-simplify]: Simplify 0 into 0 45.798 * [backup-simplify]: Simplify 1 into 1 45.799 * [backup-simplify]: Simplify (/ 1 1) into 1 45.799 * [backup-simplify]: Simplify (sqrt 0) into 0 45.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 45.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.800 * [taylor]: Taking taylor expansion of k in k 45.800 * [backup-simplify]: Simplify 0 into 0 45.800 * [backup-simplify]: Simplify 1 into 1 45.800 * [backup-simplify]: Simplify (/ 1 1) into 1 45.800 * [backup-simplify]: Simplify (sqrt 0) into 0 45.801 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.801 * [backup-simplify]: Simplify 0 into 0 45.801 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 45.804 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 45.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.807 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 45.807 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 45.807 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 45.807 * [taylor]: Taking taylor expansion of (sqrt k) in k 45.807 * [taylor]: Taking taylor expansion of k in k 45.807 * [backup-simplify]: Simplify 0 into 0 45.807 * [backup-simplify]: Simplify 1 into 1 45.807 * [backup-simplify]: Simplify (sqrt 0) into 0 45.808 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.808 * [taylor]: Taking taylor expansion of (sqrt k) in k 45.808 * [taylor]: Taking taylor expansion of k in k 45.808 * [backup-simplify]: Simplify 0 into 0 45.808 * [backup-simplify]: Simplify 1 into 1 45.808 * [backup-simplify]: Simplify (sqrt 0) into 0 45.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.809 * [backup-simplify]: Simplify 0 into 0 45.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.811 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 45.811 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 45.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.814 * [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)))))))) 45.814 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 45.814 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 45.814 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 45.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 45.814 * [taylor]: Taking taylor expansion of (/ -1 k) in k 45.814 * [taylor]: Taking taylor expansion of -1 in k 45.814 * [backup-simplify]: Simplify -1 into -1 45.814 * [taylor]: Taking taylor expansion of k in k 45.814 * [backup-simplify]: Simplify 0 into 0 45.814 * [backup-simplify]: Simplify 1 into 1 45.814 * [backup-simplify]: Simplify (/ -1 1) into -1 45.815 * [backup-simplify]: Simplify (sqrt 0) into 0 45.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 45.816 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 45.816 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 45.816 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 45.816 * [taylor]: Taking taylor expansion of (/ -1 k) in k 45.816 * [taylor]: Taking taylor expansion of -1 in k 45.816 * [backup-simplify]: Simplify -1 into -1 45.816 * [taylor]: Taking taylor expansion of k in k 45.816 * [backup-simplify]: Simplify 0 into 0 45.816 * [backup-simplify]: Simplify 1 into 1 45.816 * [backup-simplify]: Simplify (/ -1 1) into -1 45.816 * [backup-simplify]: Simplify (sqrt 0) into 0 45.817 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 45.817 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 45.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 45.820 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 45.822 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 45.822 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 45.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 45.837 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 45.838 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 45.839 * [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))))) 45.839 * * * * [progress]: [ 3 / 4 ] generating series at (2) 45.840 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) into (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) 45.840 * [approximate]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in (k n) around 0 45.840 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in n 45.840 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in n 45.840 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 45.840 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 45.840 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 45.840 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 45.840 * [taylor]: Taking taylor expansion of 1/2 in n 45.840 * [backup-simplify]: Simplify 1/2 into 1/2 45.841 * [taylor]: Taking taylor expansion of (- 1 k) in n 45.841 * [taylor]: Taking taylor expansion of 1 in n 45.841 * [backup-simplify]: Simplify 1 into 1 45.841 * [taylor]: Taking taylor expansion of k in n 45.841 * [backup-simplify]: Simplify k into k 45.841 * [taylor]: Taking taylor expansion of (log n) in n 45.841 * [taylor]: Taking taylor expansion of n in n 45.841 * [backup-simplify]: Simplify 0 into 0 45.841 * [backup-simplify]: Simplify 1 into 1 45.841 * [backup-simplify]: Simplify (log 1) into 0 45.841 * [backup-simplify]: Simplify (- k) into (- k) 45.841 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 45.841 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 45.842 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.842 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 45.842 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 45.842 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in n 45.842 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 45.843 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 45.843 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 45.843 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 45.843 * [taylor]: Taking taylor expansion of 1/4 in n 45.843 * [backup-simplify]: Simplify 1/4 into 1/4 45.843 * [taylor]: Taking taylor expansion of (- 1 k) in n 45.843 * [taylor]: Taking taylor expansion of 1 in n 45.843 * [backup-simplify]: Simplify 1 into 1 45.843 * [taylor]: Taking taylor expansion of k in n 45.843 * [backup-simplify]: Simplify k into k 45.843 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 45.843 * [taylor]: Taking taylor expansion of (* 2 PI) in n 45.843 * [taylor]: Taking taylor expansion of 2 in n 45.843 * [backup-simplify]: Simplify 2 into 2 45.843 * [taylor]: Taking taylor expansion of PI in n 45.843 * [backup-simplify]: Simplify PI into PI 45.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 45.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 45.845 * [backup-simplify]: Simplify (- k) into (- k) 45.845 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 45.845 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 45.846 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 45.847 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 45.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 45.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 45.847 * [taylor]: Taking taylor expansion of k in n 45.847 * [backup-simplify]: Simplify k into k 45.847 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 45.847 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 45.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 45.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 45.847 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 45.847 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 45.847 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 45.847 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 45.848 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 45.848 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 45.848 * [taylor]: Taking taylor expansion of 1/2 in k 45.848 * [backup-simplify]: Simplify 1/2 into 1/2 45.848 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.848 * [taylor]: Taking taylor expansion of 1 in k 45.848 * [backup-simplify]: Simplify 1 into 1 45.848 * [taylor]: Taking taylor expansion of k in k 45.848 * [backup-simplify]: Simplify 0 into 0 45.848 * [backup-simplify]: Simplify 1 into 1 45.848 * [taylor]: Taking taylor expansion of (log n) in k 45.848 * [taylor]: Taking taylor expansion of n in k 45.848 * [backup-simplify]: Simplify n into n 45.848 * [backup-simplify]: Simplify (log n) into (log n) 45.848 * [backup-simplify]: Simplify (- 0) into 0 45.848 * [backup-simplify]: Simplify (+ 1 0) into 1 45.849 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.849 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 45.849 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 45.849 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 45.849 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 45.849 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 45.849 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 45.849 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 45.849 * [taylor]: Taking taylor expansion of 1/4 in k 45.849 * [backup-simplify]: Simplify 1/4 into 1/4 45.849 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.849 * [taylor]: Taking taylor expansion of 1 in k 45.849 * [backup-simplify]: Simplify 1 into 1 45.849 * [taylor]: Taking taylor expansion of k in k 45.849 * [backup-simplify]: Simplify 0 into 0 45.849 * [backup-simplify]: Simplify 1 into 1 45.849 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 45.849 * [taylor]: Taking taylor expansion of (* 2 PI) in k 45.849 * [taylor]: Taking taylor expansion of 2 in k 45.849 * [backup-simplify]: Simplify 2 into 2 45.849 * [taylor]: Taking taylor expansion of PI in k 45.849 * [backup-simplify]: Simplify PI into PI 45.849 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 45.850 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 45.850 * [backup-simplify]: Simplify (- 0) into 0 45.850 * [backup-simplify]: Simplify (+ 1 0) into 1 45.851 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 45.852 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 45.853 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 45.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 45.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.853 * [taylor]: Taking taylor expansion of k in k 45.853 * [backup-simplify]: Simplify 0 into 0 45.853 * [backup-simplify]: Simplify 1 into 1 45.853 * [backup-simplify]: Simplify (/ 1 1) into 1 45.854 * [backup-simplify]: Simplify (sqrt 0) into 0 45.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.855 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 45.855 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 45.855 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 45.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 45.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 45.855 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 45.855 * [taylor]: Taking taylor expansion of 1/2 in k 45.855 * [backup-simplify]: Simplify 1/2 into 1/2 45.855 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.855 * [taylor]: Taking taylor expansion of 1 in k 45.855 * [backup-simplify]: Simplify 1 into 1 45.855 * [taylor]: Taking taylor expansion of k in k 45.855 * [backup-simplify]: Simplify 0 into 0 45.855 * [backup-simplify]: Simplify 1 into 1 45.855 * [taylor]: Taking taylor expansion of (log n) in k 45.855 * [taylor]: Taking taylor expansion of n in k 45.855 * [backup-simplify]: Simplify n into n 45.855 * [backup-simplify]: Simplify (log n) into (log n) 45.855 * [backup-simplify]: Simplify (- 0) into 0 45.855 * [backup-simplify]: Simplify (+ 1 0) into 1 45.856 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.856 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 45.856 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 45.856 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 45.856 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 45.856 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 45.856 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 45.856 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 45.856 * [taylor]: Taking taylor expansion of 1/4 in k 45.856 * [backup-simplify]: Simplify 1/4 into 1/4 45.856 * [taylor]: Taking taylor expansion of (- 1 k) in k 45.856 * [taylor]: Taking taylor expansion of 1 in k 45.856 * [backup-simplify]: Simplify 1 into 1 45.856 * [taylor]: Taking taylor expansion of k in k 45.856 * [backup-simplify]: Simplify 0 into 0 45.856 * [backup-simplify]: Simplify 1 into 1 45.856 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 45.856 * [taylor]: Taking taylor expansion of (* 2 PI) in k 45.856 * [taylor]: Taking taylor expansion of 2 in k 45.856 * [backup-simplify]: Simplify 2 into 2 45.856 * [taylor]: Taking taylor expansion of PI in k 45.856 * [backup-simplify]: Simplify PI into PI 45.856 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 45.857 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 45.857 * [backup-simplify]: Simplify (- 0) into 0 45.857 * [backup-simplify]: Simplify (+ 1 0) into 1 45.858 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 45.859 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 45.860 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 45.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 45.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k 45.860 * [taylor]: Taking taylor expansion of k in k 45.860 * [backup-simplify]: Simplify 0 into 0 45.860 * [backup-simplify]: Simplify 1 into 1 45.860 * [backup-simplify]: Simplify (/ 1 1) into 1 45.861 * [backup-simplify]: Simplify (sqrt 0) into 0 45.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 45.863 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) (pow (* 2 PI) 1/4)) into (sqrt (* PI 2)) 45.864 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 45.864 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 45.864 * [taylor]: Taking taylor expansion of 0 in n 45.864 * [backup-simplify]: Simplify 0 into 0 45.864 * [backup-simplify]: Simplify 0 into 0 45.865 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 45.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 45.866 * [backup-simplify]: Simplify (- 1) into -1 45.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 45.867 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 45.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 45.876 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 45.893 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (pow (* 2 PI) 1/4))) into (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))) 45.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 45.893 * [backup-simplify]: Simplify (- 1) into -1 45.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 45.894 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 45.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 45.895 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 45.899 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 45.901 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))) 45.901 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 45.901 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 45.901 * [taylor]: Taking taylor expansion of +nan.0 in n 45.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.901 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 45.901 * [taylor]: Taking taylor expansion of (sqrt 2) in n 45.901 * [taylor]: Taking taylor expansion of 2 in n 45.901 * [backup-simplify]: Simplify 2 into 2 45.902 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 45.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 45.902 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 45.902 * [taylor]: Taking taylor expansion of (* n PI) in n 45.902 * [taylor]: Taking taylor expansion of n in n 45.902 * [backup-simplify]: Simplify 0 into 0 45.902 * [backup-simplify]: Simplify 1 into 1 45.902 * [taylor]: Taking taylor expansion of PI in n 45.902 * [backup-simplify]: Simplify PI into PI 45.903 * [backup-simplify]: Simplify (* 0 PI) into 0 45.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.904 * [backup-simplify]: Simplify (sqrt 0) into 0 45.905 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 45.905 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 45.905 * [backup-simplify]: Simplify (* +nan.0 0) into 0 45.905 * [backup-simplify]: Simplify (- 0) into 0 45.905 * [backup-simplify]: Simplify 0 into 0 45.905 * [backup-simplify]: Simplify 0 into 0 45.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.908 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 45.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 45.910 * [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 45.910 * [backup-simplify]: Simplify (- 0) into 0 45.911 * [backup-simplify]: Simplify (+ 0 0) into 0 45.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 45.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 45.921 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 45.954 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/4)))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 45.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 45.955 * [backup-simplify]: Simplify (- 0) into 0 45.956 * [backup-simplify]: Simplify (+ 0 0) into 0 45.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 45.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 45.957 * [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))) 45.965 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 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)))))) 45.971 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))))))) 45.971 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))) in n 45.971 * [taylor]: Taking taylor expansion of (+ (* +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)))))))) in n 45.971 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 45.971 * [taylor]: Taking taylor expansion of +nan.0 in n 45.971 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.971 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 45.971 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 45.971 * [taylor]: Taking taylor expansion of (sqrt 2) in n 45.971 * [taylor]: Taking taylor expansion of 2 in n 45.971 * [backup-simplify]: Simplify 2 into 2 45.971 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 45.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 45.971 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 45.971 * [taylor]: Taking taylor expansion of (* 2 PI) in n 45.971 * [taylor]: Taking taylor expansion of 2 in n 45.971 * [backup-simplify]: Simplify 2 into 2 45.971 * [taylor]: Taking taylor expansion of PI in n 45.971 * [backup-simplify]: Simplify PI into PI 45.972 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 45.972 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 45.972 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 45.972 * [taylor]: Taking taylor expansion of (* n PI) in n 45.972 * [taylor]: Taking taylor expansion of n in n 45.972 * [backup-simplify]: Simplify 0 into 0 45.972 * [backup-simplify]: Simplify 1 into 1 45.972 * [taylor]: Taking taylor expansion of PI in n 45.972 * [backup-simplify]: Simplify PI into PI 45.973 * [backup-simplify]: Simplify (* 0 PI) into 0 45.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.974 * [backup-simplify]: Simplify (sqrt 0) into 0 45.975 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 45.975 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 45.975 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 45.975 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 45.975 * [taylor]: Taking taylor expansion of +nan.0 in n 45.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.975 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 45.975 * [taylor]: Taking taylor expansion of (sqrt 2) in n 45.975 * [taylor]: Taking taylor expansion of 2 in n 45.975 * [backup-simplify]: Simplify 2 into 2 45.975 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 45.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 45.976 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 45.976 * [taylor]: Taking taylor expansion of (* n PI) in n 45.976 * [taylor]: Taking taylor expansion of n in n 45.976 * [backup-simplify]: Simplify 0 into 0 45.976 * [backup-simplify]: Simplify 1 into 1 45.976 * [taylor]: Taking taylor expansion of PI in n 45.976 * [backup-simplify]: Simplify PI into PI 45.976 * [backup-simplify]: Simplify (* 0 PI) into 0 45.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.977 * [backup-simplify]: Simplify (sqrt 0) into 0 45.978 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 45.978 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 45.978 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 45.978 * [taylor]: Taking taylor expansion of +nan.0 in n 45.978 * [backup-simplify]: Simplify +nan.0 into +nan.0 45.978 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 45.978 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 45.978 * [taylor]: Taking taylor expansion of (sqrt 2) in n 45.978 * [taylor]: Taking taylor expansion of 2 in n 45.978 * [backup-simplify]: Simplify 2 into 2 45.978 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 45.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 45.979 * [taylor]: Taking taylor expansion of (log n) in n 45.979 * [taylor]: Taking taylor expansion of n in n 45.979 * [backup-simplify]: Simplify 0 into 0 45.979 * [backup-simplify]: Simplify 1 into 1 45.979 * [backup-simplify]: Simplify (log 1) into 0 45.979 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 45.979 * [taylor]: Taking taylor expansion of (* n PI) in n 45.979 * [taylor]: Taking taylor expansion of n in n 45.979 * [backup-simplify]: Simplify 0 into 0 45.979 * [backup-simplify]: Simplify 1 into 1 45.979 * [taylor]: Taking taylor expansion of PI in n 45.979 * [backup-simplify]: Simplify PI into PI 45.979 * [backup-simplify]: Simplify (* 0 PI) into 0 45.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.980 * [backup-simplify]: Simplify (sqrt 0) into 0 45.981 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 45.982 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 45.983 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 45.983 * [backup-simplify]: Simplify (* +nan.0 0) into 0 45.984 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 45.984 * [backup-simplify]: Simplify (* +nan.0 0) into 0 45.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 45.984 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 45.985 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 45.985 * [backup-simplify]: Simplify (* +nan.0 0) into 0 45.985 * [backup-simplify]: Simplify (- 0) into 0 45.985 * [backup-simplify]: Simplify (+ 0 0) into 0 45.986 * [backup-simplify]: Simplify (- 0) into 0 45.986 * [backup-simplify]: Simplify (+ 0 0) into 0 45.986 * [backup-simplify]: Simplify (- 0) into 0 45.986 * [backup-simplify]: Simplify 0 into 0 45.988 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 45.993 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 45.996 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 45.999 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 45.999 * [backup-simplify]: Simplify 0 into 0 46.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 46.011 * [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 46.012 * [backup-simplify]: Simplify (- 0) into 0 46.012 * [backup-simplify]: Simplify (+ 0 0) into 0 46.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 46.034 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 46.077 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/4))))) into (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI)))) 46.079 * [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 46.080 * [backup-simplify]: Simplify (- 0) into 0 46.080 * [backup-simplify]: Simplify (+ 0 0) into 0 46.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 46.083 * [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))) 46.097 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 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)))))))) 46.116 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))))))))))))) 46.116 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))))))) in n 46.116 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))))))) in n 46.116 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 46.116 * [taylor]: Taking taylor expansion of +nan.0 in n 46.116 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.116 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 46.116 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 46.116 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.116 * [taylor]: Taking taylor expansion of 2 in n 46.116 * [backup-simplify]: Simplify 2 into 2 46.117 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.118 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 46.118 * [taylor]: Taking taylor expansion of (log n) in n 46.118 * [taylor]: Taking taylor expansion of n in n 46.118 * [backup-simplify]: Simplify 0 into 0 46.118 * [backup-simplify]: Simplify 1 into 1 46.118 * [backup-simplify]: Simplify (log 1) into 0 46.119 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.119 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.119 * [taylor]: Taking taylor expansion of (* n PI) in n 46.119 * [taylor]: Taking taylor expansion of n in n 46.119 * [backup-simplify]: Simplify 0 into 0 46.119 * [backup-simplify]: Simplify 1 into 1 46.119 * [taylor]: Taking taylor expansion of PI in n 46.119 * [backup-simplify]: Simplify PI into PI 46.119 * [backup-simplify]: Simplify (* 0 PI) into 0 46.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.121 * [backup-simplify]: Simplify (sqrt 0) into 0 46.123 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.123 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))))) in n 46.123 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))))) in n 46.123 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 46.123 * [taylor]: Taking taylor expansion of +nan.0 in n 46.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.123 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 46.123 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 46.123 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.123 * [taylor]: Taking taylor expansion of 2 in n 46.123 * [backup-simplify]: Simplify 2 into 2 46.124 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.124 * [taylor]: Taking taylor expansion of (log n) in n 46.124 * [taylor]: Taking taylor expansion of n in n 46.124 * [backup-simplify]: Simplify 0 into 0 46.124 * [backup-simplify]: Simplify 1 into 1 46.125 * [backup-simplify]: Simplify (log 1) into 0 46.125 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.125 * [taylor]: Taking taylor expansion of (* n PI) in n 46.125 * [taylor]: Taking taylor expansion of n in n 46.125 * [backup-simplify]: Simplify 0 into 0 46.125 * [backup-simplify]: Simplify 1 into 1 46.125 * [taylor]: Taking taylor expansion of PI in n 46.125 * [backup-simplify]: Simplify PI into PI 46.125 * [backup-simplify]: Simplify (* 0 PI) into 0 46.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.127 * [backup-simplify]: Simplify (sqrt 0) into 0 46.129 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.129 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))) in n 46.129 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))) in n 46.129 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 46.129 * [taylor]: Taking taylor expansion of +nan.0 in n 46.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.129 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 46.129 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 46.129 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.129 * [taylor]: Taking taylor expansion of 2 in n 46.129 * [backup-simplify]: Simplify 2 into 2 46.130 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.130 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.130 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.130 * [taylor]: Taking taylor expansion of 2 in n 46.131 * [backup-simplify]: Simplify 2 into 2 46.131 * [taylor]: Taking taylor expansion of PI in n 46.131 * [backup-simplify]: Simplify PI into PI 46.131 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.132 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.132 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.132 * [taylor]: Taking taylor expansion of (* n PI) in n 46.132 * [taylor]: Taking taylor expansion of n in n 46.132 * [backup-simplify]: Simplify 0 into 0 46.132 * [backup-simplify]: Simplify 1 into 1 46.132 * [taylor]: Taking taylor expansion of PI in n 46.132 * [backup-simplify]: Simplify PI into PI 46.133 * [backup-simplify]: Simplify (* 0 PI) into 0 46.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.135 * [backup-simplify]: Simplify (sqrt 0) into 0 46.136 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.136 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))) in n 46.136 * [taylor]: Taking taylor expansion of (+ (* +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)))))))) in n 46.136 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 46.136 * [taylor]: Taking taylor expansion of +nan.0 in n 46.136 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.136 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 46.136 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 46.136 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.136 * [taylor]: Taking taylor expansion of 2 in n 46.136 * [backup-simplify]: Simplify 2 into 2 46.137 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.137 * [taylor]: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 46.137 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.137 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.137 * [taylor]: Taking taylor expansion of 2 in n 46.137 * [backup-simplify]: Simplify 2 into 2 46.137 * [taylor]: Taking taylor expansion of PI in n 46.137 * [backup-simplify]: Simplify PI into PI 46.138 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.139 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.139 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.139 * [taylor]: Taking taylor expansion of (* n PI) in n 46.139 * [taylor]: Taking taylor expansion of n in n 46.139 * [backup-simplify]: Simplify 0 into 0 46.139 * [backup-simplify]: Simplify 1 into 1 46.139 * [taylor]: Taking taylor expansion of PI in n 46.139 * [backup-simplify]: Simplify PI into PI 46.140 * [backup-simplify]: Simplify (* 0 PI) into 0 46.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.142 * [backup-simplify]: Simplify (sqrt 0) into 0 46.143 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.143 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) in n 46.143 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 46.143 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 46.143 * [taylor]: Taking taylor expansion of +nan.0 in n 46.143 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.143 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 46.143 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.143 * [taylor]: Taking taylor expansion of 2 in n 46.143 * [backup-simplify]: Simplify 2 into 2 46.144 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.144 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.145 * [taylor]: Taking taylor expansion of (* n PI) in n 46.145 * [taylor]: Taking taylor expansion of n in n 46.145 * [backup-simplify]: Simplify 0 into 0 46.145 * [backup-simplify]: Simplify 1 into 1 46.145 * [taylor]: Taking taylor expansion of PI in n 46.145 * [backup-simplify]: Simplify PI into PI 46.145 * [backup-simplify]: Simplify (* 0 PI) into 0 46.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.147 * [backup-simplify]: Simplify (sqrt 0) into 0 46.148 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.148 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 46.148 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 46.148 * [taylor]: Taking taylor expansion of +nan.0 in n 46.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.148 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 46.149 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 46.149 * [taylor]: Taking taylor expansion of (sqrt 2) in n 46.149 * [taylor]: Taking taylor expansion of 2 in n 46.149 * [backup-simplify]: Simplify 2 into 2 46.149 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 46.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 46.150 * [taylor]: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 46.150 * [taylor]: Taking taylor expansion of (log n) in n 46.150 * [taylor]: Taking taylor expansion of n in n 46.150 * [backup-simplify]: Simplify 0 into 0 46.150 * [backup-simplify]: Simplify 1 into 1 46.150 * [backup-simplify]: Simplify (log 1) into 0 46.150 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.150 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.150 * [taylor]: Taking taylor expansion of 2 in n 46.150 * [backup-simplify]: Simplify 2 into 2 46.150 * [taylor]: Taking taylor expansion of PI in n 46.150 * [backup-simplify]: Simplify PI into PI 46.151 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.152 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.152 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 46.152 * [taylor]: Taking taylor expansion of (* n PI) in n 46.152 * [taylor]: Taking taylor expansion of n in n 46.152 * [backup-simplify]: Simplify 0 into 0 46.152 * [backup-simplify]: Simplify 1 into 1 46.152 * [taylor]: Taking taylor expansion of PI in n 46.152 * [backup-simplify]: Simplify PI into PI 46.152 * [backup-simplify]: Simplify (* 0 PI) into 0 46.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 46.154 * [backup-simplify]: Simplify (sqrt 0) into 0 46.156 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 46.156 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.156 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.157 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 46.157 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 46.157 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 46.157 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.158 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.158 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 46.158 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 46.158 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.160 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 46.160 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 46.161 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.162 * [backup-simplify]: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 46.169 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 46.170 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 46.170 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.171 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 46.171 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.171 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.172 * [backup-simplify]: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 46.173 * [backup-simplify]: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 46.174 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 46.174 * [backup-simplify]: Simplify (* +nan.0 0) into 0 46.174 * [backup-simplify]: Simplify (- 0) into 0 46.175 * [backup-simplify]: Simplify (+ 0 0) into 0 46.175 * [backup-simplify]: Simplify (- 0) into 0 46.175 * [backup-simplify]: Simplify (+ 0 0) into 0 46.175 * [backup-simplify]: Simplify (- 0) into 0 46.176 * [backup-simplify]: Simplify (+ 0 0) into 0 46.176 * [backup-simplify]: Simplify (- 0) into 0 46.176 * [backup-simplify]: Simplify (+ 0 0) into 0 46.176 * [backup-simplify]: Simplify (- 0) into 0 46.177 * [backup-simplify]: Simplify (+ 0 0) into 0 46.177 * [backup-simplify]: Simplify (- 0) into 0 46.177 * [backup-simplify]: Simplify 0 into 0 46.177 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.179 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 46.182 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 46.190 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 46.193 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.198 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 46.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 46.200 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 46.202 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.203 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.203 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 46.206 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 46.209 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 46.218 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 46.226 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 46.233 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 46.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 46.239 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 46.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 46.244 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.249 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.252 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.254 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 46.261 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 46.262 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) 46.262 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in (k n) around 0 46.262 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in n 46.262 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in n 46.263 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 46.263 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 46.263 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 46.263 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 46.263 * [taylor]: Taking taylor expansion of 1/2 in n 46.263 * [backup-simplify]: Simplify 1/2 into 1/2 46.263 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.263 * [taylor]: Taking taylor expansion of 1 in n 46.263 * [backup-simplify]: Simplify 1 into 1 46.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.263 * [taylor]: Taking taylor expansion of k in n 46.263 * [backup-simplify]: Simplify k into k 46.263 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.263 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.263 * [taylor]: Taking taylor expansion of n in n 46.263 * [backup-simplify]: Simplify 0 into 0 46.263 * [backup-simplify]: Simplify 1 into 1 46.263 * [backup-simplify]: Simplify (/ 1 1) into 1 46.263 * [backup-simplify]: Simplify (log 1) into 0 46.263 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.263 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.264 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 46.264 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.264 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.264 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.264 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in n 46.264 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 46.264 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 46.264 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 46.264 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 46.264 * [taylor]: Taking taylor expansion of 1/4 in n 46.264 * [backup-simplify]: Simplify 1/4 into 1/4 46.264 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.264 * [taylor]: Taking taylor expansion of 1 in n 46.264 * [backup-simplify]: Simplify 1 into 1 46.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.264 * [taylor]: Taking taylor expansion of k in n 46.264 * [backup-simplify]: Simplify k into k 46.264 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.264 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.264 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.264 * [taylor]: Taking taylor expansion of 2 in n 46.264 * [backup-simplify]: Simplify 2 into 2 46.264 * [taylor]: Taking taylor expansion of PI in n 46.264 * [backup-simplify]: Simplify PI into PI 46.265 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.265 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.265 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.265 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.265 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 46.266 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.267 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.267 * [taylor]: Taking taylor expansion of (sqrt k) in n 46.267 * [taylor]: Taking taylor expansion of k in n 46.267 * [backup-simplify]: Simplify k into k 46.267 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 46.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 46.267 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 46.267 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 46.267 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 46.267 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 46.267 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 46.267 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 46.267 * [taylor]: Taking taylor expansion of 1/2 in k 46.267 * [backup-simplify]: Simplify 1/2 into 1/2 46.267 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.267 * [taylor]: Taking taylor expansion of 1 in k 46.267 * [backup-simplify]: Simplify 1 into 1 46.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.267 * [taylor]: Taking taylor expansion of k in k 46.267 * [backup-simplify]: Simplify 0 into 0 46.267 * [backup-simplify]: Simplify 1 into 1 46.268 * [backup-simplify]: Simplify (/ 1 1) into 1 46.268 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 46.268 * [taylor]: Taking taylor expansion of (/ 1 n) in k 46.268 * [taylor]: Taking taylor expansion of n in k 46.268 * [backup-simplify]: Simplify n into n 46.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 46.268 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 46.268 * [backup-simplify]: Simplify (- 1) into -1 46.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.269 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 46.269 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 46.269 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 46.269 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 46.269 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.269 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.269 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.269 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.269 * [taylor]: Taking taylor expansion of 1/4 in k 46.269 * [backup-simplify]: Simplify 1/4 into 1/4 46.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.269 * [taylor]: Taking taylor expansion of 1 in k 46.269 * [backup-simplify]: Simplify 1 into 1 46.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.269 * [taylor]: Taking taylor expansion of k in k 46.269 * [backup-simplify]: Simplify 0 into 0 46.269 * [backup-simplify]: Simplify 1 into 1 46.269 * [backup-simplify]: Simplify (/ 1 1) into 1 46.269 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.269 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.269 * [taylor]: Taking taylor expansion of 2 in k 46.269 * [backup-simplify]: Simplify 2 into 2 46.269 * [taylor]: Taking taylor expansion of PI in k 46.269 * [backup-simplify]: Simplify PI into PI 46.270 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.270 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.270 * [backup-simplify]: Simplify (- 1) into -1 46.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.271 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.272 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.279 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.279 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.279 * [taylor]: Taking taylor expansion of k in k 46.280 * [backup-simplify]: Simplify 0 into 0 46.280 * [backup-simplify]: Simplify 1 into 1 46.280 * [backup-simplify]: Simplify (sqrt 0) into 0 46.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.282 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 46.282 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 46.282 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 46.282 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 46.282 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 46.282 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 46.282 * [taylor]: Taking taylor expansion of 1/2 in k 46.282 * [backup-simplify]: Simplify 1/2 into 1/2 46.282 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.282 * [taylor]: Taking taylor expansion of 1 in k 46.282 * [backup-simplify]: Simplify 1 into 1 46.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.282 * [taylor]: Taking taylor expansion of k in k 46.282 * [backup-simplify]: Simplify 0 into 0 46.282 * [backup-simplify]: Simplify 1 into 1 46.283 * [backup-simplify]: Simplify (/ 1 1) into 1 46.283 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 46.283 * [taylor]: Taking taylor expansion of (/ 1 n) in k 46.283 * [taylor]: Taking taylor expansion of n in k 46.283 * [backup-simplify]: Simplify n into n 46.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 46.283 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 46.283 * [backup-simplify]: Simplify (- 1) into -1 46.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.284 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 46.284 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 46.284 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 46.285 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 46.285 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.285 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.285 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.285 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.285 * [taylor]: Taking taylor expansion of 1/4 in k 46.285 * [backup-simplify]: Simplify 1/4 into 1/4 46.285 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.285 * [taylor]: Taking taylor expansion of 1 in k 46.285 * [backup-simplify]: Simplify 1 into 1 46.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.285 * [taylor]: Taking taylor expansion of k in k 46.285 * [backup-simplify]: Simplify 0 into 0 46.285 * [backup-simplify]: Simplify 1 into 1 46.285 * [backup-simplify]: Simplify (/ 1 1) into 1 46.285 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.285 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.285 * [taylor]: Taking taylor expansion of 2 in k 46.285 * [backup-simplify]: Simplify 2 into 2 46.285 * [taylor]: Taking taylor expansion of PI in k 46.285 * [backup-simplify]: Simplify PI into PI 46.286 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.287 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.287 * [backup-simplify]: Simplify (- 1) into -1 46.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.288 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.289 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.290 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.291 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.291 * [taylor]: Taking taylor expansion of k in k 46.291 * [backup-simplify]: Simplify 0 into 0 46.291 * [backup-simplify]: Simplify 1 into 1 46.291 * [backup-simplify]: Simplify (sqrt 0) into 0 46.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.294 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.294 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 46.295 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 0) into 0 46.295 * [taylor]: Taking taylor expansion of 0 in n 46.295 * [backup-simplify]: Simplify 0 into 0 46.295 * [backup-simplify]: Simplify 0 into 0 46.297 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 46.298 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 46.299 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.299 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.299 * [taylor]: Taking taylor expansion of +nan.0 in n 46.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.299 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.299 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.299 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.299 * [taylor]: Taking taylor expansion of 1/2 in n 46.299 * [backup-simplify]: Simplify 1/2 into 1/2 46.299 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.299 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.299 * [taylor]: Taking taylor expansion of 1 in n 46.299 * [backup-simplify]: Simplify 1 into 1 46.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.299 * [taylor]: Taking taylor expansion of k in n 46.299 * [backup-simplify]: Simplify k into k 46.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.299 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.299 * [taylor]: Taking taylor expansion of n in n 46.299 * [backup-simplify]: Simplify 0 into 0 46.299 * [backup-simplify]: Simplify 1 into 1 46.299 * [backup-simplify]: Simplify (/ 1 1) into 1 46.300 * [backup-simplify]: Simplify (log 1) into 0 46.300 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.300 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.300 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.300 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.300 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.300 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.300 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.300 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.300 * [taylor]: Taking taylor expansion of 1/4 in n 46.301 * [backup-simplify]: Simplify 1/4 into 1/4 46.301 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.301 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.301 * [taylor]: Taking taylor expansion of 1 in n 46.301 * [backup-simplify]: Simplify 1 into 1 46.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.301 * [taylor]: Taking taylor expansion of k in n 46.301 * [backup-simplify]: Simplify k into k 46.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.301 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.301 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.301 * [taylor]: Taking taylor expansion of 2 in n 46.301 * [backup-simplify]: Simplify 2 into 2 46.301 * [taylor]: Taking taylor expansion of PI in n 46.301 * [backup-simplify]: Simplify PI into PI 46.301 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.302 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.302 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.302 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.302 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.303 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.304 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.305 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.306 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.307 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.307 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.308 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.308 * [backup-simplify]: Simplify 0 into 0 46.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.312 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 46.313 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) into 0 46.314 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.314 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.314 * [taylor]: Taking taylor expansion of +nan.0 in n 46.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.314 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.314 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.314 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.314 * [taylor]: Taking taylor expansion of 1/2 in n 46.314 * [backup-simplify]: Simplify 1/2 into 1/2 46.314 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.314 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.314 * [taylor]: Taking taylor expansion of 1 in n 46.314 * [backup-simplify]: Simplify 1 into 1 46.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.314 * [taylor]: Taking taylor expansion of k in n 46.314 * [backup-simplify]: Simplify k into k 46.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.314 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.314 * [taylor]: Taking taylor expansion of n in n 46.314 * [backup-simplify]: Simplify 0 into 0 46.314 * [backup-simplify]: Simplify 1 into 1 46.315 * [backup-simplify]: Simplify (/ 1 1) into 1 46.315 * [backup-simplify]: Simplify (log 1) into 0 46.315 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.315 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.315 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.315 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.315 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.316 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.316 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.316 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.316 * [taylor]: Taking taylor expansion of 1/4 in n 46.316 * [backup-simplify]: Simplify 1/4 into 1/4 46.316 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.316 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.316 * [taylor]: Taking taylor expansion of 1 in n 46.316 * [backup-simplify]: Simplify 1 into 1 46.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.316 * [taylor]: Taking taylor expansion of k in n 46.316 * [backup-simplify]: Simplify k into k 46.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.316 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.316 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.316 * [taylor]: Taking taylor expansion of 2 in n 46.316 * [backup-simplify]: Simplify 2 into 2 46.316 * [taylor]: Taking taylor expansion of PI in n 46.316 * [backup-simplify]: Simplify PI into PI 46.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.317 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.317 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.318 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.319 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.320 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.321 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.322 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.324 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.325 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.328 * [backup-simplify]: Simplify (- 0) into 0 46.328 * [backup-simplify]: Simplify (+ 0 0) into 0 46.329 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 46.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into 0 46.332 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.334 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 46.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 46.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.337 * [backup-simplify]: Simplify (- 0) into 0 46.337 * [backup-simplify]: Simplify (+ 0 0) into 0 46.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.338 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log n)))) into 0 46.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* (- 1 (/ 1 k)) (log n))))) into 0 46.339 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 46.340 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 46.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 46.342 * [backup-simplify]: Simplify (- 0) into 0 46.342 * [backup-simplify]: Simplify 0 into 0 46.342 * [backup-simplify]: Simplify 0 into 0 46.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.349 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 46.352 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))))) into 0 46.354 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 46.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 46.354 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 46.354 * [taylor]: Taking taylor expansion of +nan.0 in n 46.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.354 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 46.354 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 46.354 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 46.354 * [taylor]: Taking taylor expansion of 1/2 in n 46.354 * [backup-simplify]: Simplify 1/2 into 1/2 46.354 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 46.354 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.354 * [taylor]: Taking taylor expansion of 1 in n 46.354 * [backup-simplify]: Simplify 1 into 1 46.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.354 * [taylor]: Taking taylor expansion of k in n 46.354 * [backup-simplify]: Simplify k into k 46.354 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.354 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 46.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 46.354 * [taylor]: Taking taylor expansion of n in n 46.354 * [backup-simplify]: Simplify 0 into 0 46.355 * [backup-simplify]: Simplify 1 into 1 46.355 * [backup-simplify]: Simplify (/ 1 1) into 1 46.355 * [backup-simplify]: Simplify (log 1) into 0 46.355 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.355 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 46.356 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 46.356 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 46.356 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 46.356 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 46.356 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 46.356 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 46.356 * [taylor]: Taking taylor expansion of 1/4 in n 46.357 * [backup-simplify]: Simplify 1/4 into 1/4 46.357 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 46.357 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 46.357 * [taylor]: Taking taylor expansion of 1 in n 46.357 * [backup-simplify]: Simplify 1 into 1 46.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.357 * [taylor]: Taking taylor expansion of k in n 46.357 * [backup-simplify]: Simplify k into k 46.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.357 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.357 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.357 * [taylor]: Taking taylor expansion of 2 in n 46.357 * [backup-simplify]: Simplify 2 into 2 46.357 * [taylor]: Taking taylor expansion of PI in n 46.357 * [backup-simplify]: Simplify PI into PI 46.357 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.358 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.358 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 46.359 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 46.360 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 46.361 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 46.362 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.364 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 46.365 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 46.366 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 46.366 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.367 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 46.370 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 46.371 * [backup-simplify]: Simplify (* (* (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) 46.371 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in (k n) around 0 46.371 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in n 46.371 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in n 46.371 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 46.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 46.371 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 46.371 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 46.371 * [taylor]: Taking taylor expansion of 1/2 in n 46.371 * [backup-simplify]: Simplify 1/2 into 1/2 46.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.371 * [taylor]: Taking taylor expansion of k in n 46.371 * [backup-simplify]: Simplify k into k 46.371 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.371 * [taylor]: Taking taylor expansion of 1 in n 46.371 * [backup-simplify]: Simplify 1 into 1 46.372 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.372 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.372 * [taylor]: Taking taylor expansion of -1 in n 46.372 * [backup-simplify]: Simplify -1 into -1 46.372 * [taylor]: Taking taylor expansion of n in n 46.372 * [backup-simplify]: Simplify 0 into 0 46.372 * [backup-simplify]: Simplify 1 into 1 46.372 * [backup-simplify]: Simplify (/ -1 1) into -1 46.372 * [backup-simplify]: Simplify (log -1) into (log -1) 46.372 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.372 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 46.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.373 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.373 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.373 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in n 46.373 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 46.374 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 46.374 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 46.374 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 46.374 * [taylor]: Taking taylor expansion of 1/4 in n 46.374 * [backup-simplify]: Simplify 1/4 into 1/4 46.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.374 * [taylor]: Taking taylor expansion of k in n 46.374 * [backup-simplify]: Simplify k into k 46.374 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.374 * [taylor]: Taking taylor expansion of 1 in n 46.374 * [backup-simplify]: Simplify 1 into 1 46.374 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.374 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.374 * [taylor]: Taking taylor expansion of 2 in n 46.374 * [backup-simplify]: Simplify 2 into 2 46.374 * [taylor]: Taking taylor expansion of PI in n 46.374 * [backup-simplify]: Simplify PI into PI 46.374 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.375 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.375 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.375 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 46.375 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.376 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 46.376 * [taylor]: Taking taylor expansion of (/ -1 k) in n 46.376 * [taylor]: Taking taylor expansion of -1 in n 46.376 * [backup-simplify]: Simplify -1 into -1 46.376 * [taylor]: Taking taylor expansion of k in n 46.376 * [backup-simplify]: Simplify k into k 46.376 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 46.376 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 46.376 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 46.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 46.378 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.379 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.380 * [backup-simplify]: Simplify (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 46.380 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 46.380 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 46.380 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 46.380 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 46.380 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 46.380 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 46.380 * [taylor]: Taking taylor expansion of 1/2 in k 46.380 * [backup-simplify]: Simplify 1/2 into 1/2 46.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.380 * [taylor]: Taking taylor expansion of k in k 46.380 * [backup-simplify]: Simplify 0 into 0 46.380 * [backup-simplify]: Simplify 1 into 1 46.381 * [backup-simplify]: Simplify (/ 1 1) into 1 46.381 * [taylor]: Taking taylor expansion of 1 in k 46.381 * [backup-simplify]: Simplify 1 into 1 46.381 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 46.381 * [taylor]: Taking taylor expansion of (/ -1 n) in k 46.381 * [taylor]: Taking taylor expansion of -1 in k 46.381 * [backup-simplify]: Simplify -1 into -1 46.381 * [taylor]: Taking taylor expansion of n in k 46.381 * [backup-simplify]: Simplify n into n 46.381 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 46.381 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 46.382 * [backup-simplify]: Simplify (+ 1 0) into 1 46.382 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.382 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 46.382 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 46.382 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 46.382 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.382 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.382 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.382 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.382 * [taylor]: Taking taylor expansion of 1/4 in k 46.383 * [backup-simplify]: Simplify 1/4 into 1/4 46.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.383 * [taylor]: Taking taylor expansion of k in k 46.383 * [backup-simplify]: Simplify 0 into 0 46.383 * [backup-simplify]: Simplify 1 into 1 46.383 * [backup-simplify]: Simplify (/ 1 1) into 1 46.383 * [taylor]: Taking taylor expansion of 1 in k 46.383 * [backup-simplify]: Simplify 1 into 1 46.383 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.383 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.383 * [taylor]: Taking taylor expansion of 2 in k 46.383 * [backup-simplify]: Simplify 2 into 2 46.383 * [taylor]: Taking taylor expansion of PI in k 46.383 * [backup-simplify]: Simplify PI into PI 46.384 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.385 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.385 * [backup-simplify]: Simplify (+ 1 0) into 1 46.386 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.387 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.389 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.389 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.389 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.389 * [taylor]: Taking taylor expansion of -1 in k 46.389 * [backup-simplify]: Simplify -1 into -1 46.389 * [taylor]: Taking taylor expansion of k in k 46.389 * [backup-simplify]: Simplify 0 into 0 46.389 * [backup-simplify]: Simplify 1 into 1 46.389 * [backup-simplify]: Simplify (/ -1 1) into -1 46.395 * [backup-simplify]: Simplify (sqrt 0) into 0 46.397 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.400 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.401 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 46.403 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 46.403 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 46.403 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 46.403 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 46.403 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 46.403 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 46.403 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 46.403 * [taylor]: Taking taylor expansion of 1/2 in k 46.403 * [backup-simplify]: Simplify 1/2 into 1/2 46.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.403 * [taylor]: Taking taylor expansion of k in k 46.403 * [backup-simplify]: Simplify 0 into 0 46.403 * [backup-simplify]: Simplify 1 into 1 46.404 * [backup-simplify]: Simplify (/ 1 1) into 1 46.404 * [taylor]: Taking taylor expansion of 1 in k 46.404 * [backup-simplify]: Simplify 1 into 1 46.404 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 46.404 * [taylor]: Taking taylor expansion of (/ -1 n) in k 46.404 * [taylor]: Taking taylor expansion of -1 in k 46.404 * [backup-simplify]: Simplify -1 into -1 46.404 * [taylor]: Taking taylor expansion of n in k 46.404 * [backup-simplify]: Simplify n into n 46.404 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 46.404 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 46.404 * [backup-simplify]: Simplify (+ 1 0) into 1 46.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 46.405 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 46.405 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 46.405 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 46.405 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.405 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.405 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.405 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.405 * [taylor]: Taking taylor expansion of 1/4 in k 46.405 * [backup-simplify]: Simplify 1/4 into 1/4 46.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.406 * [taylor]: Taking taylor expansion of k in k 46.406 * [backup-simplify]: Simplify 0 into 0 46.406 * [backup-simplify]: Simplify 1 into 1 46.406 * [backup-simplify]: Simplify (/ 1 1) into 1 46.406 * [taylor]: Taking taylor expansion of 1 in k 46.406 * [backup-simplify]: Simplify 1 into 1 46.406 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.406 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.406 * [taylor]: Taking taylor expansion of 2 in k 46.406 * [backup-simplify]: Simplify 2 into 2 46.406 * [taylor]: Taking taylor expansion of PI in k 46.406 * [backup-simplify]: Simplify PI into PI 46.407 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.408 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.408 * [backup-simplify]: Simplify (+ 1 0) into 1 46.409 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.411 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.412 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.412 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.412 * [taylor]: Taking taylor expansion of -1 in k 46.412 * [backup-simplify]: Simplify -1 into -1 46.412 * [taylor]: Taking taylor expansion of k in k 46.412 * [backup-simplify]: Simplify 0 into 0 46.412 * [backup-simplify]: Simplify 1 into 1 46.412 * [backup-simplify]: Simplify (/ -1 1) into -1 46.413 * [backup-simplify]: Simplify (sqrt 0) into 0 46.414 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.416 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.418 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 46.419 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 46.419 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.419 * [taylor]: Taking taylor expansion of +nan.0 in n 46.419 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.420 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.420 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.420 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.420 * [taylor]: Taking taylor expansion of 1/2 in n 46.420 * [backup-simplify]: Simplify 1/2 into 1/2 46.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.420 * [taylor]: Taking taylor expansion of k in n 46.420 * [backup-simplify]: Simplify k into k 46.420 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.420 * [taylor]: Taking taylor expansion of 1 in n 46.420 * [backup-simplify]: Simplify 1 into 1 46.420 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.420 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.420 * [taylor]: Taking taylor expansion of -1 in n 46.420 * [backup-simplify]: Simplify -1 into -1 46.420 * [taylor]: Taking taylor expansion of n in n 46.420 * [backup-simplify]: Simplify 0 into 0 46.420 * [backup-simplify]: Simplify 1 into 1 46.421 * [backup-simplify]: Simplify (/ -1 1) into -1 46.421 * [backup-simplify]: Simplify (log -1) into (log -1) 46.421 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.423 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.423 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.424 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.424 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.424 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.424 * [taylor]: Taking taylor expansion of 1/4 in n 46.424 * [backup-simplify]: Simplify 1/4 into 1/4 46.424 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.424 * [taylor]: Taking taylor expansion of k in n 46.424 * [backup-simplify]: Simplify k into k 46.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.424 * [taylor]: Taking taylor expansion of 1 in n 46.424 * [backup-simplify]: Simplify 1 into 1 46.424 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.424 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.424 * [taylor]: Taking taylor expansion of 2 in n 46.424 * [backup-simplify]: Simplify 2 into 2 46.424 * [taylor]: Taking taylor expansion of PI in n 46.424 * [backup-simplify]: Simplify PI into PI 46.424 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.425 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.425 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.426 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.426 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.427 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.428 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.429 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.430 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.431 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.433 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 46.434 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 46.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.436 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.437 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 46.437 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 46.437 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.438 * [taylor]: Taking taylor expansion of +nan.0 in n 46.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.438 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.438 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.438 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.438 * [taylor]: Taking taylor expansion of 1/2 in n 46.438 * [backup-simplify]: Simplify 1/2 into 1/2 46.438 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.438 * [taylor]: Taking taylor expansion of k in n 46.438 * [backup-simplify]: Simplify k into k 46.438 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.438 * [taylor]: Taking taylor expansion of 1 in n 46.438 * [backup-simplify]: Simplify 1 into 1 46.438 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.438 * [taylor]: Taking taylor expansion of -1 in n 46.438 * [backup-simplify]: Simplify -1 into -1 46.438 * [taylor]: Taking taylor expansion of n in n 46.438 * [backup-simplify]: Simplify 0 into 0 46.438 * [backup-simplify]: Simplify 1 into 1 46.438 * [backup-simplify]: Simplify (/ -1 1) into -1 46.438 * [backup-simplify]: Simplify (log -1) into (log -1) 46.438 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.439 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.440 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.440 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.440 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.440 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.440 * [taylor]: Taking taylor expansion of 1/4 in n 46.440 * [backup-simplify]: Simplify 1/4 into 1/4 46.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.440 * [taylor]: Taking taylor expansion of k in n 46.440 * [backup-simplify]: Simplify k into k 46.440 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.440 * [taylor]: Taking taylor expansion of 1 in n 46.440 * [backup-simplify]: Simplify 1 into 1 46.440 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.440 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.440 * [taylor]: Taking taylor expansion of 2 in n 46.440 * [backup-simplify]: Simplify 2 into 2 46.440 * [taylor]: Taking taylor expansion of PI in n 46.440 * [backup-simplify]: Simplify PI into PI 46.441 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.441 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.441 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.442 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.443 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.443 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.445 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.446 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.447 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.448 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.449 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.451 * [backup-simplify]: Simplify (+ 0 0) into 0 46.451 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log (* 2 PI)))) into 0 46.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into 0 46.454 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.457 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 46.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 46.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 46.460 * [backup-simplify]: Simplify (+ 0 0) into 0 46.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.461 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -1) (log n)))) into 0 46.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into 0 46.464 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 46.465 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 46.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 46.468 * [backup-simplify]: Simplify 0 into 0 46.469 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 46.471 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) into 0 46.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.476 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 46.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 46.476 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 46.476 * [taylor]: Taking taylor expansion of +nan.0 in n 46.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 46.476 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 46.476 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 46.476 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 46.477 * [taylor]: Taking taylor expansion of 1/2 in n 46.477 * [backup-simplify]: Simplify 1/2 into 1/2 46.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 46.477 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.477 * [taylor]: Taking taylor expansion of k in n 46.477 * [backup-simplify]: Simplify k into k 46.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.477 * [taylor]: Taking taylor expansion of 1 in n 46.477 * [backup-simplify]: Simplify 1 into 1 46.477 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 46.477 * [taylor]: Taking taylor expansion of (/ -1 n) in n 46.477 * [taylor]: Taking taylor expansion of -1 in n 46.477 * [backup-simplify]: Simplify -1 into -1 46.477 * [taylor]: Taking taylor expansion of n in n 46.477 * [backup-simplify]: Simplify 0 into 0 46.477 * [backup-simplify]: Simplify 1 into 1 46.477 * [backup-simplify]: Simplify (/ -1 1) into -1 46.477 * [backup-simplify]: Simplify (log -1) into (log -1) 46.477 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.478 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 46.478 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 46.479 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 46.479 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 46.479 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 46.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 46.479 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 46.479 * [taylor]: Taking taylor expansion of 1/4 in n 46.479 * [backup-simplify]: Simplify 1/4 into 1/4 46.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 46.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 46.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n 46.479 * [taylor]: Taking taylor expansion of k in n 46.479 * [backup-simplify]: Simplify k into k 46.479 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 46.479 * [taylor]: Taking taylor expansion of 1 in n 46.479 * [backup-simplify]: Simplify 1 into 1 46.479 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 46.479 * [taylor]: Taking taylor expansion of (* 2 PI) in n 46.479 * [taylor]: Taking taylor expansion of 2 in n 46.479 * [backup-simplify]: Simplify 2 into 2 46.479 * [taylor]: Taking taylor expansion of PI in n 46.479 * [backup-simplify]: Simplify PI into PI 46.480 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.480 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.480 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 46.481 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 46.482 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 46.483 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.484 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 46.485 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 46.486 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 46.487 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.489 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 46.492 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (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)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 46.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 46.493 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) 46.493 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 46.493 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 46.493 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.493 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.493 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.493 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.493 * [taylor]: Taking taylor expansion of 1/4 in k 46.493 * [backup-simplify]: Simplify 1/4 into 1/4 46.493 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.493 * [taylor]: Taking taylor expansion of 1 in k 46.493 * [backup-simplify]: Simplify 1 into 1 46.493 * [taylor]: Taking taylor expansion of k in k 46.493 * [backup-simplify]: Simplify 0 into 0 46.493 * [backup-simplify]: Simplify 1 into 1 46.493 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.493 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.493 * [taylor]: Taking taylor expansion of 2 in k 46.493 * [backup-simplify]: Simplify 2 into 2 46.493 * [taylor]: Taking taylor expansion of PI in k 46.493 * [backup-simplify]: Simplify PI into PI 46.494 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.494 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.494 * [backup-simplify]: Simplify (- 0) into 0 46.495 * [backup-simplify]: Simplify (+ 1 0) into 1 46.495 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.496 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.499 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.499 * [taylor]: Taking taylor expansion of k in k 46.499 * [backup-simplify]: Simplify 0 into 0 46.499 * [backup-simplify]: Simplify 1 into 1 46.499 * [backup-simplify]: Simplify (/ 1 1) into 1 46.500 * [backup-simplify]: Simplify (sqrt 0) into 0 46.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.501 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 46.501 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 46.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 46.501 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 46.501 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 46.501 * [taylor]: Taking taylor expansion of 1/4 in k 46.501 * [backup-simplify]: Simplify 1/4 into 1/4 46.501 * [taylor]: Taking taylor expansion of (- 1 k) in k 46.501 * [taylor]: Taking taylor expansion of 1 in k 46.501 * [backup-simplify]: Simplify 1 into 1 46.501 * [taylor]: Taking taylor expansion of k in k 46.501 * [backup-simplify]: Simplify 0 into 0 46.501 * [backup-simplify]: Simplify 1 into 1 46.501 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.501 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.501 * [taylor]: Taking taylor expansion of 2 in k 46.501 * [backup-simplify]: Simplify 2 into 2 46.501 * [taylor]: Taking taylor expansion of PI in k 46.501 * [backup-simplify]: Simplify PI into PI 46.502 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.503 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.503 * [backup-simplify]: Simplify (- 0) into 0 46.504 * [backup-simplify]: Simplify (+ 1 0) into 1 46.511 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.513 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.515 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 46.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 46.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.515 * [taylor]: Taking taylor expansion of k in k 46.515 * [backup-simplify]: Simplify 0 into 0 46.515 * [backup-simplify]: Simplify 1 into 1 46.516 * [backup-simplify]: Simplify (/ 1 1) into 1 46.516 * [backup-simplify]: Simplify (sqrt 0) into 0 46.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.519 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) 0) into 0 46.519 * [backup-simplify]: Simplify 0 into 0 46.519 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 46.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 46.522 * [backup-simplify]: Simplify (- 1) into -1 46.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.523 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 46.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 46.539 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 46.545 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 0)) into (- (* +nan.0 (pow (* PI 2) 1/4))) 46.548 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* PI 2) 1/4))) into (- (* +nan.0 (pow (* PI 2) 1/4))) 46.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 46.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 46.557 * [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 46.557 * [backup-simplify]: Simplify (- 0) into 0 46.558 * [backup-simplify]: Simplify (+ 0 0) into 0 46.559 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 46.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 46.574 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 46.589 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 46.599 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 46.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 46.612 * [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 46.613 * [backup-simplify]: Simplify (- 0) into 0 46.613 * [backup-simplify]: Simplify (+ 0 0) into 0 46.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 46.618 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 46.637 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 46.673 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 46.696 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 46.732 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) k) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 46.733 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) 46.733 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 46.733 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 46.733 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.733 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.733 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.733 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.734 * [taylor]: Taking taylor expansion of 1/4 in k 46.734 * [backup-simplify]: Simplify 1/4 into 1/4 46.734 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.734 * [taylor]: Taking taylor expansion of 1 in k 46.734 * [backup-simplify]: Simplify 1 into 1 46.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.734 * [taylor]: Taking taylor expansion of k in k 46.734 * [backup-simplify]: Simplify 0 into 0 46.734 * [backup-simplify]: Simplify 1 into 1 46.734 * [backup-simplify]: Simplify (/ 1 1) into 1 46.734 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.734 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.734 * [taylor]: Taking taylor expansion of 2 in k 46.734 * [backup-simplify]: Simplify 2 into 2 46.734 * [taylor]: Taking taylor expansion of PI in k 46.734 * [backup-simplify]: Simplify PI into PI 46.735 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.736 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.736 * [backup-simplify]: Simplify (- 1) into -1 46.737 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.737 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.739 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.740 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.740 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.740 * [taylor]: Taking taylor expansion of k in k 46.740 * [backup-simplify]: Simplify 0 into 0 46.740 * [backup-simplify]: Simplify 1 into 1 46.740 * [backup-simplify]: Simplify (sqrt 0) into 0 46.741 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.741 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 46.741 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 46.741 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 46.741 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 46.741 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 46.741 * [taylor]: Taking taylor expansion of 1/4 in k 46.741 * [backup-simplify]: Simplify 1/4 into 1/4 46.741 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 46.741 * [taylor]: Taking taylor expansion of 1 in k 46.741 * [backup-simplify]: Simplify 1 into 1 46.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.741 * [taylor]: Taking taylor expansion of k in k 46.741 * [backup-simplify]: Simplify 0 into 0 46.741 * [backup-simplify]: Simplify 1 into 1 46.742 * [backup-simplify]: Simplify (/ 1 1) into 1 46.742 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.742 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.742 * [taylor]: Taking taylor expansion of 2 in k 46.742 * [backup-simplify]: Simplify 2 into 2 46.742 * [taylor]: Taking taylor expansion of PI in k 46.742 * [backup-simplify]: Simplify PI into PI 46.742 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.743 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.743 * [backup-simplify]: Simplify (- 1) into -1 46.743 * [backup-simplify]: Simplify (+ 0 -1) into -1 46.743 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 46.744 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 46.745 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 46.745 * [taylor]: Taking taylor expansion of (sqrt k) in k 46.745 * [taylor]: Taking taylor expansion of k in k 46.745 * [backup-simplify]: Simplify 0 into 0 46.745 * [backup-simplify]: Simplify 1 into 1 46.745 * [backup-simplify]: Simplify (sqrt 0) into 0 46.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 46.747 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 46.747 * [backup-simplify]: Simplify 0 into 0 46.748 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.748 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.751 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.752 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.755 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.756 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 46.758 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 46.759 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 46.759 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 46.759 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 46.759 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.759 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.759 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.759 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.759 * [taylor]: Taking taylor expansion of 1/4 in k 46.759 * [backup-simplify]: Simplify 1/4 into 1/4 46.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.759 * [taylor]: Taking taylor expansion of k in k 46.759 * [backup-simplify]: Simplify 0 into 0 46.759 * [backup-simplify]: Simplify 1 into 1 46.759 * [backup-simplify]: Simplify (/ 1 1) into 1 46.759 * [taylor]: Taking taylor expansion of 1 in k 46.759 * [backup-simplify]: Simplify 1 into 1 46.759 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.759 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.759 * [taylor]: Taking taylor expansion of 2 in k 46.759 * [backup-simplify]: Simplify 2 into 2 46.759 * [taylor]: Taking taylor expansion of PI in k 46.759 * [backup-simplify]: Simplify PI into PI 46.760 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.761 * [backup-simplify]: Simplify (+ 1 0) into 1 46.761 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.762 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.762 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.762 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.762 * [taylor]: Taking taylor expansion of -1 in k 46.762 * [backup-simplify]: Simplify -1 into -1 46.762 * [taylor]: Taking taylor expansion of k in k 46.763 * [backup-simplify]: Simplify 0 into 0 46.763 * [backup-simplify]: Simplify 1 into 1 46.763 * [backup-simplify]: Simplify (/ -1 1) into -1 46.763 * [backup-simplify]: Simplify (sqrt 0) into 0 46.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.764 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 46.765 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 46.765 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 46.765 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 46.765 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 46.765 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 46.765 * [taylor]: Taking taylor expansion of 1/4 in k 46.765 * [backup-simplify]: Simplify 1/4 into 1/4 46.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 46.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 46.765 * [taylor]: Taking taylor expansion of k in k 46.765 * [backup-simplify]: Simplify 0 into 0 46.765 * [backup-simplify]: Simplify 1 into 1 46.765 * [backup-simplify]: Simplify (/ 1 1) into 1 46.765 * [taylor]: Taking taylor expansion of 1 in k 46.765 * [backup-simplify]: Simplify 1 into 1 46.765 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 46.765 * [taylor]: Taking taylor expansion of (* 2 PI) in k 46.765 * [taylor]: Taking taylor expansion of 2 in k 46.765 * [backup-simplify]: Simplify 2 into 2 46.765 * [taylor]: Taking taylor expansion of PI in k 46.765 * [backup-simplify]: Simplify PI into PI 46.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 46.766 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 46.766 * [backup-simplify]: Simplify (+ 1 0) into 1 46.766 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 46.767 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 46.768 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 46.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 46.768 * [taylor]: Taking taylor expansion of (/ -1 k) in k 46.768 * [taylor]: Taking taylor expansion of -1 in k 46.768 * [backup-simplify]: Simplify -1 into -1 46.768 * [taylor]: Taking taylor expansion of k in k 46.768 * [backup-simplify]: Simplify 0 into 0 46.768 * [backup-simplify]: Simplify 1 into 1 46.768 * [backup-simplify]: Simplify (/ -1 1) into -1 46.769 * [backup-simplify]: Simplify (sqrt 0) into 0 46.770 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 46.770 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 46.771 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 46.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 46.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 46.776 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 46.784 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 46.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 46.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 46.789 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 46.790 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 46.792 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 46.792 * * * [progress]: simplifying candidates 46.792 * * * * [progress]: [ 1 / 414 ] simplifiying candidate # 46.792 * * * * [progress]: [ 2 / 414 ] simplifiying candidate # 46.792 * * * * [progress]: [ 3 / 414 ] simplifiying candidate # 46.793 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 46.793 * * [simplify]: iters left: 6 (8 enodes) 46.795 * * [simplify]: iters left: 5 (35 enodes) 46.801 * * [simplify]: iters left: 4 (56 enodes) 46.810 * * [simplify]: iters left: 3 (72 enodes) 46.823 * * [simplify]: iters left: 2 (129 enodes) 46.858 * * [simplify]: iters left: 1 (172 enodes) 46.891 * * [simplify]: Extracting #0: cost 1 inf + 0 46.891 * * [simplify]: Extracting #1: cost 17 inf + 0 46.891 * * [simplify]: Extracting #2: cost 42 inf + 3 46.891 * * [simplify]: Extracting #3: cost 29 inf + 1337 46.892 * * [simplify]: Extracting #4: cost 4 inf + 4499 46.894 * * [simplify]: Extracting #5: cost 0 inf + 5037 46.895 * * [simplify]: Extracting #6: cost 0 inf + 5034 46.896 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 46.896 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (exp (* 1/2 (- (log n) (* k (log n))))))) 46.897 * * * * [progress]: [ 4 / 414 ] simplifiying candidate # 46.897 * * * * [progress]: [ 5 / 414 ] simplifiying candidate # 46.897 * * * * [progress]: [ 6 / 414 ] simplifiying candidate # 46.897 * [simplify]: Simplifying (pow n (/ k 2)) 46.897 * * [simplify]: iters left: 3 (5 enodes) 46.898 * * [simplify]: iters left: 2 (18 enodes) 46.901 * * [simplify]: iters left: 1 (30 enodes) 46.909 * * [simplify]: Extracting #0: cost 1 inf + 0 46.909 * * [simplify]: Extracting #1: cost 10 inf + 0 46.909 * * [simplify]: Extracting #2: cost 23 inf + 1 46.909 * * [simplify]: Extracting #3: cost 23 inf + 46 46.909 * * [simplify]: Extracting #4: cost 11 inf + 1346 46.909 * * [simplify]: Extracting #5: cost 1 inf + 3938 46.910 * * [simplify]: Extracting #6: cost 0 inf + 4111 46.910 * * [simplify]: Extracting #7: cost 0 inf + 4070 46.911 * [simplify]: Simplified to (pow n (/ k 2)) 46.911 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2))))) 46.911 * * * * [progress]: [ 7 / 414 ] simplifiying candidate # 46.911 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 46.911 * * [simplify]: iters left: 5 (6 enodes) 46.913 * * [simplify]: iters left: 4 (26 enodes) 46.917 * * [simplify]: iters left: 3 (35 enodes) 46.923 * * [simplify]: Extracting #0: cost 1 inf + 0 46.923 * * [simplify]: Extracting #1: cost 3 inf + 0 46.923 * * [simplify]: Extracting #2: cost 8 inf + 0 46.923 * * [simplify]: Extracting #3: cost 11 inf + 2 46.923 * * [simplify]: Extracting #4: cost 8 inf + 87 46.923 * * [simplify]: Extracting #5: cost 2 inf + 500 46.923 * * [simplify]: Extracting #6: cost 0 inf + 746 46.923 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 46.923 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 46.923 * * * * [progress]: [ 8 / 414 ] simplifiying candidate # 46.924 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 46.924 * * [simplify]: iters left: 5 (6 enodes) 46.926 * * [simplify]: iters left: 4 (26 enodes) 46.930 * * [simplify]: iters left: 3 (35 enodes) 46.935 * * [simplify]: Extracting #0: cost 1 inf + 0 46.935 * * [simplify]: Extracting #1: cost 3 inf + 0 46.935 * * [simplify]: Extracting #2: cost 8 inf + 0 46.936 * * [simplify]: Extracting #3: cost 11 inf + 2 46.936 * * [simplify]: Extracting #4: cost 8 inf + 87 46.936 * * [simplify]: Extracting #5: cost 2 inf + 460 46.936 * * [simplify]: Extracting #6: cost 0 inf + 666 46.936 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 46.936 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 46.936 * * * * [progress]: [ 9 / 414 ] simplifiying candidate # 46.936 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 46.936 * * [simplify]: iters left: 5 (7 enodes) 46.939 * * [simplify]: iters left: 4 (25 enodes) 46.945 * * [simplify]: iters left: 3 (30 enodes) 46.950 * * [simplify]: Extracting #0: cost 1 inf + 0 46.950 * * [simplify]: Extracting #1: cost 4 inf + 0 46.950 * * [simplify]: Extracting #2: cost 8 inf + 0 46.950 * * [simplify]: Extracting #3: cost 10 inf + 82 46.950 * * [simplify]: Extracting #4: cost 7 inf + 206 46.950 * * [simplify]: Extracting #5: cost 2 inf + 575 46.950 * * [simplify]: Extracting #6: cost 1 inf + 818 46.951 * * [simplify]: Extracting #7: cost 0 inf + 1061 46.951 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 46.951 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) 46.951 * * * * [progress]: [ 10 / 414 ] simplifiying candidate # 46.951 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 46.951 * * [simplify]: iters left: 5 (7 enodes) 46.953 * * [simplify]: iters left: 4 (25 enodes) 46.958 * * [simplify]: iters left: 3 (30 enodes) 46.963 * * [simplify]: Extracting #0: cost 1 inf + 0 46.963 * * [simplify]: Extracting #1: cost 4 inf + 0 46.963 * * [simplify]: Extracting #2: cost 8 inf + 0 46.963 * * [simplify]: Extracting #3: cost 10 inf + 42 46.963 * * [simplify]: Extracting #4: cost 7 inf + 126 46.963 * * [simplify]: Extracting #5: cost 2 inf + 495 46.963 * * [simplify]: Extracting #6: cost 1 inf + 698 46.963 * * [simplify]: Extracting #7: cost 0 inf + 901 46.963 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 46.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) 46.964 * * * * [progress]: [ 11 / 414 ] simplifiying candidate # 46.964 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 46.964 * * [simplify]: iters left: 5 (6 enodes) 46.966 * * [simplify]: iters left: 4 (22 enodes) 46.969 * * [simplify]: iters left: 3 (27 enodes) 46.973 * * [simplify]: Extracting #0: cost 1 inf + 0 46.973 * * [simplify]: Extracting #1: cost 4 inf + 0 46.973 * * [simplify]: Extracting #2: cost 5 inf + 1 46.973 * * [simplify]: Extracting #3: cost 9 inf + 1 46.973 * * [simplify]: Extracting #4: cost 8 inf + 3 46.973 * * [simplify]: Extracting #5: cost 4 inf + 169 46.974 * * [simplify]: Extracting #6: cost 1 inf + 576 46.974 * * [simplify]: Extracting #7: cost 0 inf + 739 46.974 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 46.974 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) 46.974 * * * * [progress]: [ 12 / 414 ] simplifiying candidate # 46.974 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 46.974 * * [simplify]: iters left: 5 (7 enodes) 46.977 * * [simplify]: iters left: 4 (25 enodes) 46.985 * * [simplify]: iters left: 3 (30 enodes) 46.995 * * [simplify]: Extracting #0: cost 1 inf + 0 46.995 * * [simplify]: Extracting #1: cost 4 inf + 0 46.995 * * [simplify]: Extracting #2: cost 8 inf + 0 46.995 * * [simplify]: Extracting #3: cost 10 inf + 82 46.995 * * [simplify]: Extracting #4: cost 7 inf + 206 46.995 * * [simplify]: Extracting #5: cost 2 inf + 495 46.996 * * [simplify]: Extracting #6: cost 1 inf + 698 46.996 * * [simplify]: Extracting #7: cost 0 inf + 901 46.996 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 46.996 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) 46.997 * * * * [progress]: [ 13 / 414 ] simplifiying candidate # 46.997 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 46.997 * * [simplify]: iters left: 5 (7 enodes) 47.002 * * [simplify]: iters left: 4 (25 enodes) 47.011 * * [simplify]: iters left: 3 (30 enodes) 47.016 * * [simplify]: Extracting #0: cost 1 inf + 0 47.016 * * [simplify]: Extracting #1: cost 4 inf + 0 47.016 * * [simplify]: Extracting #2: cost 8 inf + 0 47.016 * * [simplify]: Extracting #3: cost 10 inf + 42 47.017 * * [simplify]: Extracting #4: cost 7 inf + 126 47.017 * * [simplify]: Extracting #5: cost 2 inf + 415 47.017 * * [simplify]: Extracting #6: cost 1 inf + 578 47.017 * * [simplify]: Extracting #7: cost 0 inf + 741 47.017 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 47.017 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) 47.017 * * * * [progress]: [ 14 / 414 ] simplifiying candidate # 47.017 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 47.017 * * [simplify]: iters left: 5 (6 enodes) 47.019 * * [simplify]: iters left: 4 (22 enodes) 47.023 * * [simplify]: iters left: 3 (27 enodes) 47.027 * * [simplify]: Extracting #0: cost 1 inf + 0 47.027 * * [simplify]: Extracting #1: cost 4 inf + 0 47.027 * * [simplify]: Extracting #2: cost 5 inf + 1 47.027 * * [simplify]: Extracting #3: cost 9 inf + 1 47.027 * * [simplify]: Extracting #4: cost 8 inf + 3 47.027 * * [simplify]: Extracting #5: cost 4 inf + 169 47.027 * * [simplify]: Extracting #6: cost 1 inf + 456 47.027 * * [simplify]: Extracting #7: cost 0 inf + 579 47.028 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 47.028 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) 47.028 * * * * [progress]: [ 15 / 414 ] simplifiying candidate # 47.028 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 47.028 * * [simplify]: iters left: 4 (6 enodes) 47.030 * * [simplify]: iters left: 3 (25 enodes) 47.034 * * [simplify]: iters left: 2 (36 enodes) 47.042 * * [simplify]: iters left: 1 (40 enodes) 47.048 * * [simplify]: Extracting #0: cost 1 inf + 0 47.048 * * [simplify]: Extracting #1: cost 7 inf + 0 47.048 * * [simplify]: Extracting #2: cost 16 inf + 0 47.048 * * [simplify]: Extracting #3: cost 13 inf + 44 47.049 * * [simplify]: Extracting #4: cost 3 inf + 1103 47.049 * * [simplify]: Extracting #5: cost 0 inf + 1469 47.049 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 47.049 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 47.049 * * * * [progress]: [ 16 / 414 ] simplifiying candidate # 47.049 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 47.049 * * [simplify]: iters left: 4 (6 enodes) 47.051 * * [simplify]: iters left: 3 (25 enodes) 47.056 * * [simplify]: iters left: 2 (36 enodes) 47.062 * * [simplify]: iters left: 1 (40 enodes) 47.074 * * [simplify]: Extracting #0: cost 1 inf + 0 47.074 * * [simplify]: Extracting #1: cost 7 inf + 0 47.074 * * [simplify]: Extracting #2: cost 16 inf + 0 47.074 * * [simplify]: Extracting #3: cost 13 inf + 44 47.074 * * [simplify]: Extracting #4: cost 3 inf + 823 47.075 * * [simplify]: Extracting #5: cost 0 inf + 1069 47.075 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 47.075 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 47.075 * * * * [progress]: [ 17 / 414 ] simplifiying candidate # 47.076 * [simplify]: Simplifying (/ (- 1 k) 2) 47.076 * * [simplify]: iters left: 4 (5 enodes) 47.079 * * [simplify]: iters left: 3 (23 enodes) 47.087 * * [simplify]: iters left: 2 (32 enodes) 47.097 * * [simplify]: Extracting #0: cost 1 inf + 0 47.097 * * [simplify]: Extracting #1: cost 6 inf + 0 47.097 * * [simplify]: Extracting #2: cost 9 inf + 2 47.097 * * [simplify]: Extracting #3: cost 6 inf + 87 47.097 * * [simplify]: Extracting #4: cost 0 inf + 420 47.098 * [simplify]: Simplified to (/ (- 1 k) 2) 47.098 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 47.098 * * * * [progress]: [ 18 / 414 ] simplifiying candidate # 47.098 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 47.098 * * [simplify]: iters left: 5 (8 enodes) 47.103 * * [simplify]: iters left: 4 (31 enodes) 47.113 * * [simplify]: iters left: 3 (45 enodes) 47.126 * * [simplify]: iters left: 2 (51 enodes) 47.139 * * [simplify]: iters left: 1 (52 enodes) 47.153 * * [simplify]: Extracting #0: cost 1 inf + 0 47.153 * * [simplify]: Extracting #1: cost 8 inf + 0 47.154 * * [simplify]: Extracting #2: cost 18 inf + 0 47.154 * * [simplify]: Extracting #3: cost 19 inf + 2 47.154 * * [simplify]: Extracting #4: cost 9 inf + 977 47.155 * * [simplify]: Extracting #5: cost 2 inf + 1790 47.155 * * [simplify]: Extracting #6: cost 0 inf + 2195 47.156 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 47.156 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 47.156 * * * * [progress]: [ 19 / 414 ] simplifiying candidate # 47.157 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 47.157 * * [simplify]: iters left: 5 (8 enodes) 47.162 * * [simplify]: iters left: 4 (31 enodes) 47.177 * * [simplify]: iters left: 3 (45 enodes) 47.186 * * [simplify]: iters left: 2 (51 enodes) 47.195 * * [simplify]: iters left: 1 (52 enodes) 47.202 * * [simplify]: Extracting #0: cost 1 inf + 0 47.202 * * [simplify]: Extracting #1: cost 8 inf + 0 47.202 * * [simplify]: Extracting #2: cost 18 inf + 0 47.202 * * [simplify]: Extracting #3: cost 19 inf + 2 47.203 * * [simplify]: Extracting #4: cost 9 inf + 697 47.203 * * [simplify]: Extracting #5: cost 2 inf + 1390 47.203 * * [simplify]: Extracting #6: cost 0 inf + 1715 47.204 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 47.204 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 47.204 * * * * [progress]: [ 20 / 414 ] simplifiying candidate # 47.204 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 47.204 * * [simplify]: iters left: 5 (7 enodes) 47.207 * * [simplify]: iters left: 4 (29 enodes) 47.216 * * [simplify]: iters left: 3 (43 enodes) 47.228 * * [simplify]: iters left: 2 (47 enodes) 47.241 * * [simplify]: Extracting #0: cost 1 inf + 0 47.241 * * [simplify]: Extracting #1: cost 7 inf + 0 47.241 * * [simplify]: Extracting #2: cost 11 inf + 2 47.241 * * [simplify]: Extracting #3: cost 13 inf + 3 47.241 * * [simplify]: Extracting #4: cost 11 inf + 45 47.242 * * [simplify]: Extracting #5: cost 0 inf + 1066 47.242 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 47.242 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 47.242 * * * * [progress]: [ 21 / 414 ] simplifiying candidate # 47.243 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 47.243 * * [simplify]: iters left: 5 (7 enodes) 47.247 * * [simplify]: iters left: 4 (28 enodes) 47.255 * * [simplify]: iters left: 3 (39 enodes) 47.262 * * [simplify]: iters left: 2 (43 enodes) 47.268 * * [simplify]: Extracting #0: cost 1 inf + 0 47.268 * * [simplify]: Extracting #1: cost 7 inf + 0 47.268 * * [simplify]: Extracting #2: cost 16 inf + 0 47.269 * * [simplify]: Extracting #3: cost 15 inf + 164 47.269 * * [simplify]: Extracting #4: cost 13 inf + 287 47.269 * * [simplify]: Extracting #5: cost 5 inf + 1180 47.269 * * [simplify]: Extracting #6: cost 0 inf + 1951 47.269 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 47.269 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) 47.270 * * * * [progress]: [ 22 / 414 ] simplifiying candidate # 47.270 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 47.270 * * [simplify]: iters left: 5 (7 enodes) 47.272 * * [simplify]: iters left: 4 (28 enodes) 47.277 * * [simplify]: iters left: 3 (39 enodes) 47.286 * * [simplify]: iters left: 2 (43 enodes) 47.304 * * [simplify]: Extracting #0: cost 1 inf + 0 47.304 * * [simplify]: Extracting #1: cost 7 inf + 0 47.304 * * [simplify]: Extracting #2: cost 16 inf + 0 47.304 * * [simplify]: Extracting #3: cost 15 inf + 84 47.304 * * [simplify]: Extracting #4: cost 13 inf + 167 47.305 * * [simplify]: Extracting #5: cost 5 inf + 900 47.305 * * [simplify]: Extracting #6: cost 0 inf + 1551 47.306 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 47.306 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) 47.306 * * * * [progress]: [ 23 / 414 ] simplifiying candidate # 47.306 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 47.307 * * [simplify]: iters left: 5 (6 enodes) 47.311 * * [simplify]: iters left: 4 (26 enodes) 47.320 * * [simplify]: iters left: 3 (35 enodes) 47.331 * * [simplify]: Extracting #0: cost 1 inf + 0 47.331 * * [simplify]: Extracting #1: cost 6 inf + 0 47.331 * * [simplify]: Extracting #2: cost 9 inf + 2 47.331 * * [simplify]: Extracting #3: cost 11 inf + 3 47.331 * * [simplify]: Extracting #4: cost 10 inf + 4 47.331 * * [simplify]: Extracting #5: cost 3 inf + 535 47.331 * * [simplify]: Extracting #6: cost 0 inf + 822 47.332 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 47.332 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) 47.332 * * * * [progress]: [ 24 / 414 ] simplifiying candidate # 47.332 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 47.332 * * [simplify]: iters left: 4 (6 enodes) 47.337 * * [simplify]: iters left: 3 (25 enodes) 47.344 * * [simplify]: iters left: 2 (36 enodes) 47.350 * * [simplify]: iters left: 1 (40 enodes) 47.356 * * [simplify]: Extracting #0: cost 1 inf + 0 47.356 * * [simplify]: Extracting #1: cost 7 inf + 0 47.356 * * [simplify]: Extracting #2: cost 16 inf + 0 47.356 * * [simplify]: Extracting #3: cost 13 inf + 44 47.357 * * [simplify]: Extracting #4: cost 3 inf + 1103 47.357 * * [simplify]: Extracting #5: cost 0 inf + 1469 47.357 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 47.357 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) 47.357 * * * * [progress]: [ 25 / 414 ] simplifiying candidate # 47.357 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 47.358 * * [simplify]: iters left: 4 (6 enodes) 47.360 * * [simplify]: iters left: 3 (25 enodes) 47.365 * * [simplify]: iters left: 2 (36 enodes) 47.374 * * [simplify]: iters left: 1 (40 enodes) 47.386 * * [simplify]: Extracting #0: cost 1 inf + 0 47.386 * * [simplify]: Extracting #1: cost 7 inf + 0 47.386 * * [simplify]: Extracting #2: cost 16 inf + 0 47.386 * * [simplify]: Extracting #3: cost 13 inf + 44 47.386 * * [simplify]: Extracting #4: cost 3 inf + 823 47.386 * * [simplify]: Extracting #5: cost 0 inf + 1069 47.387 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 47.387 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) 47.387 * * * * [progress]: [ 26 / 414 ] simplifiying candidate # 47.387 * [simplify]: Simplifying (/ (- 1 k) 2) 47.387 * * [simplify]: iters left: 4 (5 enodes) 47.389 * * [simplify]: iters left: 3 (23 enodes) 47.395 * * [simplify]: iters left: 2 (32 enodes) 47.400 * * [simplify]: Extracting #0: cost 1 inf + 0 47.400 * * [simplify]: Extracting #1: cost 6 inf + 0 47.400 * * [simplify]: Extracting #2: cost 9 inf + 2 47.401 * * [simplify]: Extracting #3: cost 6 inf + 87 47.401 * * [simplify]: Extracting #4: cost 0 inf + 420 47.401 * [simplify]: Simplified to (/ (- 1 k) 2) 47.401 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (/ 1 1)) (/ (- 1 k) 2)))) 47.401 * * * * [progress]: [ 27 / 414 ] simplifiying candidate # 47.401 * [simplify]: Simplifying (/ (- 1 k) 2) 47.401 * * [simplify]: iters left: 4 (5 enodes) 47.403 * * [simplify]: iters left: 3 (23 enodes) 47.408 * * [simplify]: iters left: 2 (32 enodes) 47.417 * * [simplify]: Extracting #0: cost 1 inf + 0 47.417 * * [simplify]: Extracting #1: cost 6 inf + 0 47.417 * * [simplify]: Extracting #2: cost 9 inf + 2 47.417 * * [simplify]: Extracting #3: cost 6 inf + 87 47.417 * * [simplify]: Extracting #4: cost 0 inf + 420 47.417 * [simplify]: Simplified to (/ (- 1 k) 2) 47.417 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n 1) (/ (- 1 k) 2)))) 47.418 * * * * [progress]: [ 28 / 414 ] simplifiying candidate # 47.418 * [simplify]: Simplifying (/ 1 2) 47.418 * * [simplify]: iters left: 2 (3 enodes) 47.421 * * [simplify]: iters left: 1 (12 enodes) 47.426 * * [simplify]: Extracting #0: cost 1 inf + 0 47.426 * * [simplify]: Extracting #1: cost 0 inf + 1 47.426 * [simplify]: Simplified to 1/2 47.426 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (pow n (- 1 k)) 1/2))) 47.426 * * * * [progress]: [ 29 / 414 ] simplifiying candidate # 47.426 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 47.426 * * [simplify]: iters left: 5 (9 enodes) 47.432 * * [simplify]: iters left: 4 (38 enodes) 47.445 * * [simplify]: iters left: 3 (63 enodes) 47.457 * * [simplify]: iters left: 2 (98 enodes) 47.477 * * [simplify]: iters left: 1 (167 enodes) 47.522 * * [simplify]: Extracting #0: cost 1 inf + 0 47.522 * * [simplify]: Extracting #1: cost 13 inf + 0 47.522 * * [simplify]: Extracting #2: cost 54 inf + 1 47.523 * * [simplify]: Extracting #3: cost 87 inf + 5 47.524 * * [simplify]: Extracting #4: cost 68 inf + 1334 47.526 * * [simplify]: Extracting #5: cost 40 inf + 5047 47.530 * * [simplify]: Extracting #6: cost 11 inf + 17686 47.534 * * [simplify]: Extracting #7: cost 0 inf + 25802 47.538 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 47.538 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))))) 47.538 * * * * [progress]: [ 30 / 414 ] simplifiying candidate # 47.538 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 47.538 * * [simplify]: iters left: 5 (8 enodes) 47.542 * * [simplify]: iters left: 4 (35 enodes) 47.548 * * [simplify]: iters left: 3 (56 enodes) 47.559 * * [simplify]: iters left: 2 (89 enodes) 47.587 * * [simplify]: iters left: 1 (175 enodes) 47.639 * * [simplify]: Extracting #0: cost 1 inf + 0 47.639 * * [simplify]: Extracting #1: cost 13 inf + 0 47.639 * * [simplify]: Extracting #2: cost 53 inf + 1 47.640 * * [simplify]: Extracting #3: cost 83 inf + 47 47.641 * * [simplify]: Extracting #4: cost 60 inf + 2914 47.645 * * [simplify]: Extracting #5: cost 14 inf + 15118 47.652 * * [simplify]: Extracting #6: cost 1 inf + 21571 47.658 * * [simplify]: Extracting #7: cost 0 inf + 21783 47.664 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 47.664 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))))) 47.664 * * * * [progress]: [ 31 / 414 ] simplifiying candidate # 47.665 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 47.665 * * [simplify]: iters left: 5 (6 enodes) 47.669 * * [simplify]: iters left: 4 (24 enodes) 47.675 * * [simplify]: iters left: 3 (33 enodes) 47.684 * * [simplify]: Extracting #0: cost 1 inf + 0 47.684 * * [simplify]: Extracting #1: cost 0 inf + 1 47.684 * [simplify]: Simplified to 1 47.684 * [simplify]: Simplified (2 2 1) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* 1 (pow n (/ (- 1 k) 2))))) 47.684 * * * * [progress]: [ 32 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 33 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 34 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 35 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 36 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 37 / 414 ] simplifiying candidate # 47.684 * * * * [progress]: [ 38 / 414 ] simplifiying candidate # 47.685 * * * * [progress]: [ 39 / 414 ] simplifiying candidate # 47.685 * * * * [progress]: [ 40 / 414 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2))))))> 47.685 * * * * [progress]: [ 41 / 414 ] simplifiying candidate # 47.685 * * * * [progress]: [ 42 / 414 ] simplifiying candidate # 47.685 * * * * [progress]: [ 43 / 414 ] simplifiying candidate # 47.685 * * * * [progress]: [ 44 / 414 ] simplifiying candidate # 47.685 * [simplify]: Simplifying (- 1/2) 47.685 * * [simplify]: iters left: 2 (2 enodes) 47.688 * * [simplify]: iters left: 1 (7 enodes) 47.690 * * [simplify]: Extracting #0: cost 1 inf + 0 47.690 * * [simplify]: Extracting #1: cost 0 inf + 1 47.690 * [simplify]: Simplified to -1/2 47.690 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.690 * * * * [progress]: [ 45 / 414 ] simplifiying candidate # 47.691 * [simplify]: Simplifying (- 1) 47.691 * * [simplify]: iters left: 2 (2 enodes) 47.693 * * [simplify]: iters left: 1 (9 enodes) 47.696 * * [simplify]: Extracting #0: cost 1 inf + 0 47.696 * * [simplify]: Extracting #1: cost 0 inf + 1 47.697 * [simplify]: Simplified to -1 47.697 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.697 * * * * [progress]: [ 46 / 414 ] simplifiying candidate # 47.697 * [simplify]: Simplifying (- (/ 1 2)) 47.697 * * [simplify]: iters left: 4 (4 enodes) 47.702 * * [simplify]: iters left: 3 (19 enodes) 47.709 * * [simplify]: iters left: 2 (23 enodes) 47.716 * * [simplify]: Extracting #0: cost 1 inf + 0 47.717 * * [simplify]: Extracting #1: cost 0 inf + 1 47.717 * [simplify]: Simplified to -1/2 47.717 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.717 * * * * [progress]: [ 47 / 414 ] simplifiying candidate # 47.717 * * * * [progress]: [ 48 / 414 ] simplifiying candidate # 47.717 * * * * [progress]: [ 49 / 414 ] simplifiying candidate # 47.717 * [simplify]: Simplifying (- 0 (log (sqrt k))) 47.717 * * [simplify]: iters left: 4 (5 enodes) 47.720 * * [simplify]: iters left: 3 (17 enodes) 47.726 * * [simplify]: iters left: 2 (21 enodes) 47.732 * * [simplify]: iters left: 1 (23 enodes) 47.739 * * [simplify]: Extracting #0: cost 1 inf + 0 47.739 * * [simplify]: Extracting #1: cost 4 inf + 0 47.739 * * [simplify]: Extracting #2: cost 5 inf + 1 47.740 * * [simplify]: Extracting #3: cost 7 inf + 1 47.740 * * [simplify]: Extracting #4: cost 0 inf + 608 47.740 * [simplify]: Simplified to (- (log (sqrt k))) 47.740 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.740 * * * * [progress]: [ 50 / 414 ] simplifiying candidate # 47.741 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 47.741 * * [simplify]: iters left: 4 (6 enodes) 47.744 * * [simplify]: iters left: 3 (22 enodes) 47.750 * * [simplify]: Extracting #0: cost 1 inf + 0 47.750 * * [simplify]: Extracting #1: cost 4 inf + 0 47.750 * * [simplify]: Extracting #2: cost 5 inf + 1 47.750 * * [simplify]: Extracting #3: cost 7 inf + 1 47.750 * * [simplify]: Extracting #4: cost 6 inf + 2 47.750 * * [simplify]: Extracting #5: cost 1 inf + 457 47.750 * * [simplify]: Extracting #6: cost 0 inf + 608 47.751 * [simplify]: Simplified to (- (log (sqrt k))) 47.751 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.751 * * * * [progress]: [ 51 / 414 ] simplifiying candidate # 47.751 * * * * [progress]: [ 52 / 414 ] simplifiying candidate # 47.751 * * * * [progress]: [ 53 / 414 ] simplifiying candidate # 47.751 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 47.751 * * [simplify]: iters left: 6 (8 enodes) 47.756 * * [simplify]: iters left: 5 (26 enodes) 47.762 * * [simplify]: iters left: 4 (43 enodes) 47.779 * * [simplify]: iters left: 3 (59 enodes) 47.792 * * [simplify]: iters left: 2 (67 enodes) 47.801 * * [simplify]: iters left: 1 (69 enodes) 47.809 * * [simplify]: Extracting #0: cost 1 inf + 0 47.809 * * [simplify]: Extracting #1: cost 14 inf + 0 47.809 * * [simplify]: Extracting #2: cost 18 inf + 2 47.810 * * [simplify]: Extracting #3: cost 7 inf + 701 47.810 * * [simplify]: Extracting #4: cost 0 inf + 1234 47.810 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 47.810 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.810 * * * * [progress]: [ 54 / 414 ] simplifiying candidate # 47.810 * * * * [progress]: [ 55 / 414 ] simplifiying candidate # 47.811 * * * * [progress]: [ 56 / 414 ] simplifiying candidate # 47.811 * * * * [progress]: [ 57 / 414 ] simplifiying candidate # 47.811 * * * * [progress]: [ 58 / 414 ] simplifiying candidate # 47.811 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.811 * * [simplify]: iters left: 6 (8 enodes) 47.813 * * [simplify]: iters left: 5 (32 enodes) 47.819 * * [simplify]: iters left: 4 (48 enodes) 47.833 * * [simplify]: iters left: 3 (76 enodes) 47.844 * * [simplify]: iters left: 2 (81 enodes) 47.851 * * [simplify]: Extracting #0: cost 1 inf + 0 47.851 * * [simplify]: Extracting #1: cost 6 inf + 0 47.851 * * [simplify]: Extracting #2: cost 9 inf + 1 47.851 * * [simplify]: Extracting #3: cost 11 inf + 1 47.851 * * [simplify]: Extracting #4: cost 2 inf + 1052 47.851 * * [simplify]: Extracting #5: cost 0 inf + 1376 47.852 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.852 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.852 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 47.852 * * [simplify]: iters left: 4 (6 enodes) 47.854 * * [simplify]: iters left: 3 (20 enodes) 47.857 * * [simplify]: iters left: 2 (22 enodes) 47.860 * * [simplify]: Extracting #0: cost 1 inf + 0 47.860 * * [simplify]: Extracting #1: cost 4 inf + 0 47.860 * * [simplify]: Extracting #2: cost 5 inf + 1 47.860 * * [simplify]: Extracting #3: cost 7 inf + 1 47.861 * * [simplify]: Extracting #4: cost 1 inf + 488 47.861 * * [simplify]: Extracting #5: cost 0 inf + 650 47.861 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 47.861 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.861 * * * * [progress]: [ 59 / 414 ] simplifiying candidate # 47.862 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 47.862 * * [simplify]: iters left: 6 (8 enodes) 47.870 * * [simplify]: iters left: 5 (29 enodes) 47.878 * * [simplify]: iters left: 4 (31 enodes) 47.883 * * [simplify]: Extracting #0: cost 1 inf + 0 47.883 * * [simplify]: Extracting #1: cost 4 inf + 0 47.883 * * [simplify]: Extracting #2: cost 6 inf + 1 47.883 * * [simplify]: Extracting #3: cost 9 inf + 1 47.883 * * [simplify]: Extracting #4: cost 8 inf + 2 47.883 * * [simplify]: Extracting #5: cost 2 inf + 729 47.883 * * [simplify]: Extracting #6: cost 0 inf + 972 47.883 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 47.883 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.883 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 47.883 * * [simplify]: iters left: 4 (6 enodes) 47.885 * * [simplify]: iters left: 3 (20 enodes) 47.888 * * [simplify]: iters left: 2 (22 enodes) 47.891 * * [simplify]: Extracting #0: cost 1 inf + 0 47.891 * * [simplify]: Extracting #1: cost 4 inf + 0 47.891 * * [simplify]: Extracting #2: cost 5 inf + 1 47.892 * * [simplify]: Extracting #3: cost 7 inf + 1 47.892 * * [simplify]: Extracting #4: cost 1 inf + 568 47.892 * * [simplify]: Extracting #5: cost 0 inf + 730 47.892 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 47.892 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.892 * * * * [progress]: [ 60 / 414 ] simplifiying candidate # 47.892 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 47.892 * * [simplify]: iters left: 5 (7 enodes) 47.895 * * [simplify]: iters left: 4 (25 enodes) 47.899 * * [simplify]: iters left: 3 (27 enodes) 47.903 * * [simplify]: Extracting #0: cost 1 inf + 0 47.903 * * [simplify]: Extracting #1: cost 4 inf + 0 47.903 * * [simplify]: Extracting #2: cost 5 inf + 1 47.903 * * [simplify]: Extracting #3: cost 7 inf + 1 47.903 * * [simplify]: Extracting #4: cost 6 inf + 2 47.903 * * [simplify]: Extracting #5: cost 2 inf + 368 47.903 * * [simplify]: Extracting #6: cost 0 inf + 490 47.903 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 47.903 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.903 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 47.903 * * [simplify]: iters left: 4 (6 enodes) 47.905 * * [simplify]: iters left: 3 (20 enodes) 47.908 * * [simplify]: iters left: 2 (22 enodes) 47.911 * * [simplify]: Extracting #0: cost 1 inf + 0 47.911 * * [simplify]: Extracting #1: cost 4 inf + 0 47.911 * * [simplify]: Extracting #2: cost 5 inf + 1 47.911 * * [simplify]: Extracting #3: cost 7 inf + 1 47.911 * * [simplify]: Extracting #4: cost 1 inf + 368 47.911 * * [simplify]: Extracting #5: cost 0 inf + 490 47.912 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 47.912 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.912 * * * * [progress]: [ 61 / 414 ] simplifiying candidate # 47.912 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 47.912 * * [simplify]: iters left: 5 (5 enodes) 47.917 * * [simplify]: iters left: 4 (19 enodes) 47.920 * * [simplify]: iters left: 3 (21 enodes) 47.922 * * [simplify]: Extracting #0: cost 1 inf + 0 47.922 * * [simplify]: Extracting #1: cost 0 inf + 1 47.922 * [simplify]: Simplified to 1 47.922 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.922 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 47.922 * * [simplify]: iters left: 3 (5 enodes) 47.925 * * [simplify]: iters left: 2 (17 enodes) 47.927 * * [simplify]: iters left: 1 (19 enodes) 47.930 * * [simplify]: Extracting #0: cost 1 inf + 0 47.930 * * [simplify]: Extracting #1: cost 4 inf + 0 47.930 * * [simplify]: Extracting #2: cost 5 inf + 1 47.930 * * [simplify]: Extracting #3: cost 0 inf + 248 47.930 * [simplify]: Simplified to (/ 1 (sqrt k)) 47.930 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.930 * * * * [progress]: [ 62 / 414 ] simplifiying candidate # 47.930 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 47.930 * * [simplify]: iters left: 5 (7 enodes) 47.933 * * [simplify]: iters left: 4 (25 enodes) 47.937 * * [simplify]: iters left: 3 (27 enodes) 47.940 * * [simplify]: Extracting #0: cost 1 inf + 0 47.940 * * [simplify]: Extracting #1: cost 4 inf + 0 47.940 * * [simplify]: Extracting #2: cost 5 inf + 1 47.940 * * [simplify]: Extracting #3: cost 7 inf + 1 47.940 * * [simplify]: Extracting #4: cost 6 inf + 2 47.940 * * [simplify]: Extracting #5: cost 2 inf + 368 47.941 * * [simplify]: Extracting #6: cost 0 inf + 490 47.941 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 47.941 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.941 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 47.941 * * [simplify]: iters left: 4 (6 enodes) 47.943 * * [simplify]: iters left: 3 (20 enodes) 47.946 * * [simplify]: iters left: 2 (22 enodes) 47.949 * * [simplify]: Extracting #0: cost 1 inf + 0 47.949 * * [simplify]: Extracting #1: cost 4 inf + 0 47.949 * * [simplify]: Extracting #2: cost 5 inf + 1 47.949 * * [simplify]: Extracting #3: cost 7 inf + 1 47.949 * * [simplify]: Extracting #4: cost 1 inf + 368 47.949 * * [simplify]: Extracting #5: cost 0 inf + 490 47.949 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 47.949 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.949 * * * * [progress]: [ 63 / 414 ] simplifiying candidate # 47.950 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 47.950 * * [simplify]: iters left: 5 (4 enodes) 47.956 * * [simplify]: iters left: 4 (14 enodes) 47.958 * * [simplify]: iters left: 3 (16 enodes) 47.960 * * [simplify]: Extracting #0: cost 1 inf + 0 47.960 * * [simplify]: Extracting #1: cost 0 inf + 1 47.960 * [simplify]: Simplified to 1 47.960 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.960 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 47.960 * * [simplify]: iters left: 3 (5 enodes) 47.962 * * [simplify]: iters left: 2 (17 enodes) 47.965 * * [simplify]: iters left: 1 (19 enodes) 47.968 * * [simplify]: Extracting #0: cost 1 inf + 0 47.968 * * [simplify]: Extracting #1: cost 4 inf + 0 47.968 * * [simplify]: Extracting #2: cost 5 inf + 1 47.968 * * [simplify]: Extracting #3: cost 0 inf + 248 47.968 * [simplify]: Simplified to (/ 1 (sqrt k)) 47.968 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.968 * * * * [progress]: [ 64 / 414 ] simplifiying candidate # 47.968 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 47.969 * * [simplify]: iters left: 6 (7 enodes) 47.971 * * [simplify]: iters left: 5 (25 enodes) 47.975 * * [simplify]: iters left: 4 (32 enodes) 47.980 * * [simplify]: iters left: 3 (34 enodes) 47.985 * * [simplify]: Extracting #0: cost 1 inf + 0 47.985 * * [simplify]: Extracting #1: cost 7 inf + 0 47.985 * * [simplify]: Extracting #2: cost 11 inf + 1 47.985 * * [simplify]: Extracting #3: cost 13 inf + 1 47.985 * * [simplify]: Extracting #4: cost 10 inf + 84 47.985 * * [simplify]: Extracting #5: cost 4 inf + 1014 47.986 * * [simplify]: Extracting #6: cost 1 inf + 1498 47.986 * * [simplify]: Extracting #7: cost 0 inf + 1700 47.987 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 47.987 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 47.987 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 47.987 * * [simplify]: iters left: 4 (6 enodes) 47.991 * * [simplify]: iters left: 3 (20 enodes) 47.997 * * [simplify]: iters left: 2 (22 enodes) 48.004 * * [simplify]: Extracting #0: cost 1 inf + 0 48.004 * * [simplify]: Extracting #1: cost 4 inf + 0 48.004 * * [simplify]: Extracting #2: cost 5 inf + 1 48.004 * * [simplify]: Extracting #3: cost 7 inf + 1 48.004 * * [simplify]: Extracting #4: cost 1 inf + 488 48.005 * * [simplify]: Extracting #5: cost 0 inf + 650 48.005 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 48.005 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.005 * * * * [progress]: [ 65 / 414 ] simplifiying candidate # 48.005 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 48.006 * * [simplify]: iters left: 6 (7 enodes) 48.010 * * [simplify]: iters left: 5 (24 enodes) 48.017 * * [simplify]: iters left: 4 (26 enodes) 48.024 * * [simplify]: Extracting #0: cost 1 inf + 0 48.024 * * [simplify]: Extracting #1: cost 4 inf + 0 48.024 * * [simplify]: Extracting #2: cost 6 inf + 1 48.025 * * [simplify]: Extracting #3: cost 9 inf + 1 48.025 * * [simplify]: Extracting #4: cost 8 inf + 2 48.025 * * [simplify]: Extracting #5: cost 2 inf + 730 48.025 * * [simplify]: Extracting #6: cost 0 inf + 972 48.025 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.025 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.026 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 48.026 * * [simplify]: iters left: 4 (6 enodes) 48.029 * * [simplify]: iters left: 3 (20 enodes) 48.035 * * [simplify]: iters left: 2 (22 enodes) 48.041 * * [simplify]: Extracting #0: cost 1 inf + 0 48.041 * * [simplify]: Extracting #1: cost 4 inf + 0 48.041 * * [simplify]: Extracting #2: cost 5 inf + 1 48.041 * * [simplify]: Extracting #3: cost 7 inf + 1 48.042 * * [simplify]: Extracting #4: cost 1 inf + 568 48.042 * * [simplify]: Extracting #5: cost 0 inf + 730 48.042 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 48.042 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.042 * * * * [progress]: [ 66 / 414 ] simplifiying candidate # 48.043 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.043 * * [simplify]: iters left: 4 (6 enodes) 48.046 * * [simplify]: iters left: 3 (20 enodes) 48.052 * * [simplify]: iters left: 2 (22 enodes) 48.058 * * [simplify]: Extracting #0: cost 1 inf + 0 48.058 * * [simplify]: Extracting #1: cost 4 inf + 0 48.058 * * [simplify]: Extracting #2: cost 5 inf + 1 48.059 * * [simplify]: Extracting #3: cost 7 inf + 1 48.059 * * [simplify]: Extracting #4: cost 1 inf + 368 48.059 * * [simplify]: Extracting #5: cost 0 inf + 490 48.059 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.059 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.060 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.060 * * [simplify]: iters left: 4 (6 enodes) 48.063 * * [simplify]: iters left: 3 (20 enodes) 48.069 * * [simplify]: iters left: 2 (22 enodes) 48.075 * * [simplify]: Extracting #0: cost 1 inf + 0 48.075 * * [simplify]: Extracting #1: cost 4 inf + 0 48.075 * * [simplify]: Extracting #2: cost 5 inf + 1 48.075 * * [simplify]: Extracting #3: cost 7 inf + 1 48.076 * * [simplify]: Extracting #4: cost 1 inf + 368 48.076 * * [simplify]: Extracting #5: cost 0 inf + 490 48.076 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.076 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.076 * * * * [progress]: [ 67 / 414 ] simplifiying candidate # 48.076 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 48.077 * * [simplify]: iters left: 3 (3 enodes) 48.080 * * [simplify]: iters left: 2 (9 enodes) 48.082 * * [simplify]: iters left: 1 (11 enodes) 48.085 * * [simplify]: Extracting #0: cost 1 inf + 0 48.085 * * [simplify]: Extracting #1: cost 0 inf + 1 48.085 * [simplify]: Simplified to 1 48.085 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.086 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 48.086 * * [simplify]: iters left: 3 (5 enodes) 48.093 * * [simplify]: iters left: 2 (17 enodes) 48.098 * * [simplify]: iters left: 1 (19 enodes) 48.103 * * [simplify]: Extracting #0: cost 1 inf + 0 48.103 * * [simplify]: Extracting #1: cost 4 inf + 0 48.103 * * [simplify]: Extracting #2: cost 5 inf + 1 48.103 * * [simplify]: Extracting #3: cost 0 inf + 248 48.104 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.104 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.104 * * * * [progress]: [ 68 / 414 ] simplifiying candidate # 48.104 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.104 * * [simplify]: iters left: 4 (6 enodes) 48.108 * * [simplify]: iters left: 3 (20 enodes) 48.114 * * [simplify]: iters left: 2 (22 enodes) 48.120 * * [simplify]: Extracting #0: cost 1 inf + 0 48.120 * * [simplify]: Extracting #1: cost 4 inf + 0 48.120 * * [simplify]: Extracting #2: cost 5 inf + 1 48.120 * * [simplify]: Extracting #3: cost 7 inf + 1 48.120 * * [simplify]: Extracting #4: cost 1 inf + 368 48.121 * * [simplify]: Extracting #5: cost 0 inf + 490 48.121 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.121 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.121 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 48.121 * * [simplify]: iters left: 4 (6 enodes) 48.125 * * [simplify]: iters left: 3 (20 enodes) 48.131 * * [simplify]: iters left: 2 (22 enodes) 48.137 * * [simplify]: Extracting #0: cost 1 inf + 0 48.137 * * [simplify]: Extracting #1: cost 4 inf + 0 48.137 * * [simplify]: Extracting #2: cost 5 inf + 1 48.137 * * [simplify]: Extracting #3: cost 7 inf + 1 48.137 * * [simplify]: Extracting #4: cost 1 inf + 368 48.137 * * [simplify]: Extracting #5: cost 0 inf + 490 48.138 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.138 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.138 * * * * [progress]: [ 69 / 414 ] simplifiying candidate # 48.138 * [simplify]: Simplifying (/ (sqrt 1) 1) 48.138 * * [simplify]: iters left: 3 (3 enodes) 48.142 * * [simplify]: iters left: 2 (9 enodes) 48.144 * * [simplify]: iters left: 1 (11 enodes) 48.147 * * [simplify]: Extracting #0: cost 1 inf + 0 48.147 * * [simplify]: Extracting #1: cost 0 inf + 1 48.147 * [simplify]: Simplified to 1 48.147 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.148 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 48.148 * * [simplify]: iters left: 3 (5 enodes) 48.152 * * [simplify]: iters left: 2 (17 enodes) 48.157 * * [simplify]: iters left: 1 (19 enodes) 48.162 * * [simplify]: Extracting #0: cost 1 inf + 0 48.162 * * [simplify]: Extracting #1: cost 4 inf + 0 48.162 * * [simplify]: Extracting #2: cost 5 inf + 1 48.162 * * [simplify]: Extracting #3: cost 0 inf + 248 48.162 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.162 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.163 * * * * [progress]: [ 70 / 414 ] simplifiying candidate # 48.163 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.163 * * [simplify]: iters left: 6 (6 enodes) 48.167 * * [simplify]: iters left: 5 (22 enodes) 48.174 * * [simplify]: iters left: 4 (26 enodes) 48.183 * * [simplify]: Extracting #0: cost 1 inf + 0 48.183 * * [simplify]: Extracting #1: cost 6 inf + 0 48.183 * * [simplify]: Extracting #2: cost 9 inf + 1 48.183 * * [simplify]: Extracting #3: cost 11 inf + 1 48.183 * * [simplify]: Extracting #4: cost 8 inf + 84 48.184 * * [simplify]: Extracting #5: cost 2 inf + 1013 48.184 * * [simplify]: Extracting #6: cost 0 inf + 1376 48.184 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.185 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.185 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 48.185 * * [simplify]: iters left: 4 (5 enodes) 48.188 * * [simplify]: iters left: 3 (17 enodes) 48.193 * * [simplify]: iters left: 2 (19 enodes) 48.199 * * [simplify]: Extracting #0: cost 1 inf + 0 48.199 * * [simplify]: Extracting #1: cost 4 inf + 0 48.199 * * [simplify]: Extracting #2: cost 5 inf + 1 48.199 * * [simplify]: Extracting #3: cost 7 inf + 1 48.199 * * [simplify]: Extracting #4: cost 0 inf + 650 48.200 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 48.200 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.200 * * * * [progress]: [ 71 / 414 ] simplifiying candidate # 48.200 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 48.200 * * [simplify]: iters left: 6 (6 enodes) 48.204 * * [simplify]: iters left: 5 (21 enodes) 48.211 * * [simplify]: iters left: 4 (23 enodes) 48.218 * * [simplify]: Extracting #0: cost 1 inf + 0 48.218 * * [simplify]: Extracting #1: cost 4 inf + 0 48.218 * * [simplify]: Extracting #2: cost 6 inf + 1 48.218 * * [simplify]: Extracting #3: cost 9 inf + 1 48.218 * * [simplify]: Extracting #4: cost 8 inf + 2 48.218 * * [simplify]: Extracting #5: cost 1 inf + 810 48.219 * * [simplify]: Extracting #6: cost 0 inf + 972 48.219 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 48.219 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.220 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 48.220 * * [simplify]: iters left: 4 (5 enodes) 48.222 * * [simplify]: iters left: 3 (17 enodes) 48.228 * * [simplify]: iters left: 2 (19 enodes) 48.234 * * [simplify]: Extracting #0: cost 1 inf + 0 48.234 * * [simplify]: Extracting #1: cost 4 inf + 0 48.234 * * [simplify]: Extracting #2: cost 5 inf + 1 48.234 * * [simplify]: Extracting #3: cost 7 inf + 1 48.234 * * [simplify]: Extracting #4: cost 0 inf + 730 48.234 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 48.234 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.235 * * * * [progress]: [ 72 / 414 ] simplifiying candidate # 48.235 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.235 * * [simplify]: iters left: 4 (5 enodes) 48.238 * * [simplify]: iters left: 3 (17 enodes) 48.244 * * [simplify]: iters left: 2 (19 enodes) 48.250 * * [simplify]: Extracting #0: cost 1 inf + 0 48.250 * * [simplify]: Extracting #1: cost 4 inf + 0 48.250 * * [simplify]: Extracting #2: cost 5 inf + 1 48.250 * * [simplify]: Extracting #3: cost 7 inf + 1 48.250 * * [simplify]: Extracting #4: cost 0 inf + 490 48.250 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.250 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.251 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.251 * * [simplify]: iters left: 4 (5 enodes) 48.257 * * [simplify]: iters left: 3 (17 enodes) 48.263 * * [simplify]: iters left: 2 (19 enodes) 48.269 * * [simplify]: Extracting #0: cost 1 inf + 0 48.269 * * [simplify]: Extracting #1: cost 4 inf + 0 48.269 * * [simplify]: Extracting #2: cost 5 inf + 1 48.269 * * [simplify]: Extracting #3: cost 7 inf + 1 48.269 * * [simplify]: Extracting #4: cost 0 inf + 490 48.270 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.270 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.270 * * * * [progress]: [ 73 / 414 ] simplifiying candidate # 48.270 * [simplify]: Simplifying (/ 1 (sqrt 1)) 48.270 * * [simplify]: iters left: 3 (3 enodes) 48.278 * * [simplify]: iters left: 2 (11 enodes) 48.281 * * [simplify]: iters left: 1 (13 enodes) 48.284 * * [simplify]: Extracting #0: cost 1 inf + 0 48.284 * * [simplify]: Extracting #1: cost 0 inf + 1 48.284 * [simplify]: Simplified to 1 48.284 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.285 * [simplify]: Simplifying (/ 1 (sqrt k)) 48.285 * * [simplify]: iters left: 3 (4 enodes) 48.287 * * [simplify]: iters left: 2 (14 enodes) 48.292 * * [simplify]: iters left: 1 (16 enodes) 48.297 * * [simplify]: Extracting #0: cost 1 inf + 0 48.297 * * [simplify]: Extracting #1: cost 4 inf + 0 48.297 * * [simplify]: Extracting #2: cost 5 inf + 1 48.297 * * [simplify]: Extracting #3: cost 3 inf + 43 48.297 * * [simplify]: Extracting #4: cost 1 inf + 166 48.298 * * [simplify]: Extracting #5: cost 0 inf + 248 48.298 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.298 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.298 * * * * [progress]: [ 74 / 414 ] simplifiying candidate # 48.298 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.298 * * [simplify]: iters left: 4 (5 enodes) 48.301 * * [simplify]: iters left: 3 (17 enodes) 48.307 * * [simplify]: iters left: 2 (19 enodes) 48.313 * * [simplify]: Extracting #0: cost 1 inf + 0 48.313 * * [simplify]: Extracting #1: cost 4 inf + 0 48.314 * * [simplify]: Extracting #2: cost 5 inf + 1 48.314 * * [simplify]: Extracting #3: cost 7 inf + 1 48.314 * * [simplify]: Extracting #4: cost 0 inf + 490 48.314 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.314 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.314 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 48.315 * * [simplify]: iters left: 4 (5 enodes) 48.317 * * [simplify]: iters left: 3 (17 enodes) 48.322 * * [simplify]: iters left: 2 (19 enodes) 48.328 * * [simplify]: Extracting #0: cost 1 inf + 0 48.328 * * [simplify]: Extracting #1: cost 4 inf + 0 48.329 * * [simplify]: Extracting #2: cost 5 inf + 1 48.329 * * [simplify]: Extracting #3: cost 7 inf + 1 48.329 * * [simplify]: Extracting #4: cost 0 inf + 490 48.329 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 48.329 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.329 * * * * [progress]: [ 75 / 414 ] simplifiying candidate # 48.329 * [simplify]: Simplifying (/ 1 1) 48.330 * * [simplify]: iters left: 2 (2 enodes) 48.331 * * [simplify]: iters left: 1 (6 enodes) 48.333 * * [simplify]: Extracting #0: cost 1 inf + 0 48.333 * * [simplify]: Extracting #1: cost 0 inf + 1 48.333 * [simplify]: Simplified to 1 48.333 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.333 * [simplify]: Simplifying (/ 1 (sqrt k)) 48.333 * * [simplify]: iters left: 3 (4 enodes) 48.336 * * [simplify]: iters left: 2 (14 enodes) 48.340 * * [simplify]: iters left: 1 (16 enodes) 48.345 * * [simplify]: Extracting #0: cost 1 inf + 0 48.345 * * [simplify]: Extracting #1: cost 4 inf + 0 48.345 * * [simplify]: Extracting #2: cost 5 inf + 1 48.345 * * [simplify]: Extracting #3: cost 3 inf + 43 48.345 * * [simplify]: Extracting #4: cost 1 inf + 166 48.346 * * [simplify]: Extracting #5: cost 0 inf + 248 48.346 * [simplify]: Simplified to (/ 1 (sqrt k)) 48.346 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.346 * * * * [progress]: [ 76 / 414 ] simplifiying candidate # 48.346 * * * * [progress]: [ 77 / 414 ] simplifiying candidate # 48.346 * * * * [progress]: [ 78 / 414 ] simplifiying candidate # 48.346 * * * * [progress]: [ 79 / 414 ] simplifiying candidate # 48.347 * [simplify]: Simplifying (cbrt (sqrt k)) 48.347 * * [simplify]: iters left: 2 (3 enodes) 48.348 * * [simplify]: iters left: 1 (9 enodes) 48.349 * * [simplify]: Extracting #0: cost 1 inf + 0 48.349 * * [simplify]: Extracting #1: cost 3 inf + 0 48.349 * * [simplify]: Extracting #2: cost 5 inf + 0 48.350 * * [simplify]: Extracting #3: cost 4 inf + 1 48.350 * * [simplify]: Extracting #4: cost 0 inf + 325 48.350 * [simplify]: Simplified to (cbrt (sqrt k)) 48.350 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.350 * * * * [progress]: [ 80 / 414 ] simplifiying candidate # 48.350 * [simplify]: Simplifying (sqrt (cbrt k)) 48.350 * * [simplify]: iters left: 2 (3 enodes) 48.351 * * [simplify]: iters left: 1 (9 enodes) 48.352 * * [simplify]: Extracting #0: cost 1 inf + 0 48.352 * * [simplify]: Extracting #1: cost 3 inf + 0 48.352 * * [simplify]: Extracting #2: cost 5 inf + 0 48.352 * * [simplify]: Extracting #3: cost 4 inf + 1 48.352 * * [simplify]: Extracting #4: cost 0 inf + 405 48.352 * [simplify]: Simplified to (sqrt (cbrt k)) 48.352 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.352 * * * * [progress]: [ 81 / 414 ] simplifiying candidate # 48.352 * [simplify]: Simplifying (sqrt (sqrt k)) 48.353 * * [simplify]: iters left: 2 (3 enodes) 48.353 * * [simplify]: iters left: 1 (9 enodes) 48.354 * * [simplify]: Extracting #0: cost 1 inf + 0 48.354 * * [simplify]: Extracting #1: cost 3 inf + 0 48.355 * * [simplify]: Extracting #2: cost 5 inf + 0 48.355 * * [simplify]: Extracting #3: cost 4 inf + 1 48.355 * * [simplify]: Extracting #4: cost 0 inf + 245 48.355 * [simplify]: Simplified to (sqrt (sqrt k)) 48.355 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.355 * * * * [progress]: [ 82 / 414 ] simplifiying candidate # 48.355 * [simplify]: Simplifying (sqrt k) 48.355 * * [simplify]: iters left: 1 (2 enodes) 48.356 * * [simplify]: Extracting #0: cost 1 inf + 0 48.356 * * [simplify]: Extracting #1: cost 3 inf + 0 48.356 * * [simplify]: Extracting #2: cost 2 inf + 1 48.356 * * [simplify]: Extracting #3: cost 0 inf + 83 48.356 * [simplify]: Simplified to (sqrt k) 48.356 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.356 * * * * [progress]: [ 83 / 414 ] simplifiying candidate # 48.356 * [simplify]: Simplifying (sqrt (sqrt k)) 48.356 * * [simplify]: iters left: 2 (3 enodes) 48.357 * * [simplify]: iters left: 1 (9 enodes) 48.358 * * [simplify]: Extracting #0: cost 1 inf + 0 48.358 * * [simplify]: Extracting #1: cost 3 inf + 0 48.358 * * [simplify]: Extracting #2: cost 5 inf + 0 48.358 * * [simplify]: Extracting #3: cost 4 inf + 1 48.358 * * [simplify]: Extracting #4: cost 0 inf + 245 48.358 * [simplify]: Simplified to (sqrt (sqrt k)) 48.358 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.359 * * * * [progress]: [ 84 / 414 ] simplifiying candidate # 48.359 * [simplify]: Simplifying (sqrt k) 48.359 * * [simplify]: iters left: 1 (2 enodes) 48.359 * * [simplify]: Extracting #0: cost 1 inf + 0 48.359 * * [simplify]: Extracting #1: cost 3 inf + 0 48.359 * * [simplify]: Extracting #2: cost 2 inf + 1 48.359 * * [simplify]: Extracting #3: cost 0 inf + 83 48.359 * [simplify]: Simplified to (sqrt k) 48.359 * [simplify]: Simplified (2 1 1 1 2) to (λ (k n) (* (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.359 * * * * [progress]: [ 85 / 414 ] simplifiying candidate # 48.360 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 48.360 * * [simplify]: iters left: 3 (3 enodes) 48.364 * * [simplify]: iters left: 2 (11 enodes) 48.365 * * [simplify]: iters left: 1 (13 enodes) 48.368 * * [simplify]: Extracting #0: cost 1 inf + 0 48.368 * * [simplify]: Extracting #1: cost 0 inf + 1 48.368 * [simplify]: Simplified to 1 48.368 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.368 * * * * [progress]: [ 86 / 414 ] simplifiying candidate # 48.368 * [simplify]: Simplifying (sqrt 1) 48.368 * * [simplify]: iters left: 1 (2 enodes) 48.370 * * [simplify]: Extracting #0: cost 1 inf + 0 48.370 * * [simplify]: Extracting #1: cost 0 inf + 1 48.370 * [simplify]: Simplified to 1 48.370 * [simplify]: Simplified (2 1 1 1 1) to (λ (k n) (* (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 48.370 * * * * [progress]: [ 87 / 414 ] simplifiying candidate # 48.370 * * * * [progress]: [ 88 / 414 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))> 48.370 * * * * [progress]: [ 89 / 414 ] simplifiying candidate # 48.370 * * * * [progress]: [ 90 / 414 ] simplifiying candidate # 48.370 * * * * [progress]: [ 91 / 414 ] simplifiying candidate # 48.370 * * * * [progress]: [ 92 / 414 ] simplifiying candidate # 48.371 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 48.371 * * [simplify]: iters left: 6 (20 enodes) 48.377 * * [simplify]: iters left: 5 (85 enodes) 48.398 * * [simplify]: iters left: 4 (165 enodes) 48.459 * * [simplify]: iters left: 3 (379 enodes) 48.600 * * [simplify]: Extracting #0: cost 1 inf + 0 48.600 * * [simplify]: Extracting #1: cost 60 inf + 0 48.602 * * [simplify]: Extracting #2: cost 246 inf + 0 48.605 * * [simplify]: Extracting #3: cost 261 inf + 2412 48.615 * * [simplify]: Extracting #4: cost 163 inf + 28413 48.637 * * [simplify]: Extracting #5: cost 17 inf + 88445 48.657 * * [simplify]: Extracting #6: cost 0 inf + 95424 48.677 * * [simplify]: Extracting #7: cost 0 inf + 95363 48.700 * [simplify]: Simplified to (- (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2)))) (log (sqrt k))) 48.700 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2)))) (log (sqrt k))))) 48.700 * * * * [progress]: [ 93 / 414 ] simplifiying candidate # 48.701 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 48.701 * * [simplify]: iters left: 6 (20 enodes) 48.706 * * [simplify]: iters left: 5 (85 enodes) 48.735 * * [simplify]: iters left: 4 (165 enodes) 48.790 * * [simplify]: iters left: 3 (379 enodes) 48.920 * * [simplify]: Extracting #0: cost 1 inf + 0 48.920 * * [simplify]: Extracting #1: cost 60 inf + 0 48.922 * * [simplify]: Extracting #2: cost 246 inf + 0 48.924 * * [simplify]: Extracting #3: cost 261 inf + 2412 48.934 * * [simplify]: Extracting #4: cost 163 inf + 28413 48.966 * * [simplify]: Extracting #5: cost 17 inf + 88445 49.012 * * [simplify]: Extracting #6: cost 0 inf + 95424 49.051 * * [simplify]: Extracting #7: cost 0 inf + 95363 49.092 * [simplify]: Simplified to (- (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2)))) (log (sqrt k))) 49.092 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2)))) (log (sqrt k))))) 49.092 * * * * [progress]: [ 94 / 414 ] simplifiying candidate # 49.092 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 49.093 * * [simplify]: iters left: 6 (20 enodes) 49.104 * * [simplify]: iters left: 5 (86 enodes) 49.127 * * [simplify]: iters left: 4 (167 enodes) 49.173 * * [simplify]: iters left: 3 (425 enodes) 49.366 * * [simplify]: Extracting #0: cost 1 inf + 0 49.366 * * [simplify]: Extracting #1: cost 73 inf + 0 49.368 * * [simplify]: Extracting #2: cost 313 inf + 0 49.371 * * [simplify]: Extracting #3: cost 368 inf + 818 49.384 * * [simplify]: Extracting #4: cost 238 inf + 38893 49.414 * * [simplify]: Extracting #5: cost 18 inf + 126132 49.454 * * [simplify]: Extracting #6: cost 3 inf + 133602 49.508 * * [simplify]: Extracting #7: cost 0 inf + 135154 49.558 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k)))) 49.558 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k)))))) 49.558 * * * * [progress]: [ 95 / 414 ] simplifiying candidate # 49.558 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 49.558 * * [simplify]: iters left: 6 (23 enodes) 49.565 * * [simplify]: iters left: 5 (94 enodes) 49.584 * * [simplify]: iters left: 4 (188 enodes) 49.637 * * [simplify]: iters left: 3 (398 enodes) 49.787 * * [simplify]: Extracting #0: cost 1 inf + 0 49.788 * * [simplify]: Extracting #1: cost 59 inf + 0 49.789 * * [simplify]: Extracting #2: cost 229 inf + 0 49.791 * * [simplify]: Extracting #3: cost 247 inf + 1935 49.800 * * [simplify]: Extracting #4: cost 164 inf + 22587 49.818 * * [simplify]: Extracting #5: cost 26 inf + 74172 49.835 * * [simplify]: Extracting #6: cost 0 inf + 82604 49.871 * * [simplify]: Extracting #7: cost 0 inf + 82480 49.892 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 49.892 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 49.892 * * * * [progress]: [ 96 / 414 ] simplifiying candidate # 49.893 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 49.893 * * [simplify]: iters left: 6 (23 enodes) 49.901 * * [simplify]: iters left: 5 (94 enodes) 49.920 * * [simplify]: iters left: 4 (188 enodes) 49.963 * * [simplify]: iters left: 3 (398 enodes) 50.085 * * [simplify]: Extracting #0: cost 1 inf + 0 50.085 * * [simplify]: Extracting #1: cost 59 inf + 0 50.086 * * [simplify]: Extracting #2: cost 229 inf + 0 50.087 * * [simplify]: Extracting #3: cost 247 inf + 1935 50.092 * * [simplify]: Extracting #4: cost 164 inf + 22587 50.119 * * [simplify]: Extracting #5: cost 26 inf + 74172 50.143 * * [simplify]: Extracting #6: cost 0 inf + 82604 50.161 * * [simplify]: Extracting #7: cost 0 inf + 82480 50.178 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 50.178 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 50.178 * * * * [progress]: [ 97 / 414 ] simplifiying candidate # 50.179 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 50.179 * * [simplify]: iters left: 6 (23 enodes) 50.186 * * [simplify]: iters left: 5 (95 enodes) 50.218 * * [simplify]: iters left: 4 (183 enodes) 50.272 * * [simplify]: iters left: 3 (436 enodes) 50.484 * * [simplify]: Extracting #0: cost 1 inf + 0 50.485 * * [simplify]: Extracting #1: cost 69 inf + 0 50.486 * * [simplify]: Extracting #2: cost 291 inf + 0 50.489 * * [simplify]: Extracting #3: cost 351 inf + 330 50.494 * * [simplify]: Extracting #4: cost 292 inf + 10616 50.519 * * [simplify]: Extracting #5: cost 106 inf + 72492 50.562 * * [simplify]: Extracting #6: cost 11 inf + 113464 50.591 * * [simplify]: Extracting #7: cost 0 inf + 118407 50.618 * * [simplify]: Extracting #8: cost 0 inf + 118362 50.664 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 50.665 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 50.665 * * * * [progress]: [ 98 / 414 ] simplifiying candidate # 50.665 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 50.665 * * [simplify]: iters left: 6 (23 enodes) 50.678 * * [simplify]: iters left: 5 (94 enodes) 50.704 * * [simplify]: iters left: 4 (188 enodes) 50.756 * * [simplify]: iters left: 3 (398 enodes) 50.905 * * [simplify]: Extracting #0: cost 1 inf + 0 50.905 * * [simplify]: Extracting #1: cost 59 inf + 0 50.911 * * [simplify]: Extracting #2: cost 229 inf + 0 50.914 * * [simplify]: Extracting #3: cost 247 inf + 1935 50.922 * * [simplify]: Extracting #4: cost 164 inf + 22587 50.941 * * [simplify]: Extracting #5: cost 26 inf + 74172 50.967 * * [simplify]: Extracting #6: cost 0 inf + 82604 50.985 * * [simplify]: Extracting #7: cost 0 inf + 82480 51.002 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 51.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 51.003 * * * * [progress]: [ 99 / 414 ] simplifiying candidate # 51.003 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 51.003 * * [simplify]: iters left: 6 (23 enodes) 51.018 * * [simplify]: iters left: 5 (94 enodes) 51.051 * * [simplify]: iters left: 4 (188 enodes) 51.125 * * [simplify]: iters left: 3 (398 enodes) 51.308 * * [simplify]: Extracting #0: cost 1 inf + 0 51.308 * * [simplify]: Extracting #1: cost 59 inf + 0 51.309 * * [simplify]: Extracting #2: cost 229 inf + 0 51.310 * * [simplify]: Extracting #3: cost 247 inf + 1935 51.314 * * [simplify]: Extracting #4: cost 164 inf + 22587 51.328 * * [simplify]: Extracting #5: cost 26 inf + 74172 51.360 * * [simplify]: Extracting #6: cost 0 inf + 82604 51.401 * * [simplify]: Extracting #7: cost 0 inf + 82480 51.437 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 51.437 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 51.438 * * * * [progress]: [ 100 / 414 ] simplifiying candidate # 51.438 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 51.438 * * [simplify]: iters left: 6 (23 enodes) 51.452 * * [simplify]: iters left: 5 (95 enodes) 51.485 * * [simplify]: iters left: 4 (183 enodes) 51.538 * * [simplify]: iters left: 3 (436 enodes) 51.736 * * [simplify]: Extracting #0: cost 1 inf + 0 51.737 * * [simplify]: Extracting #1: cost 69 inf + 0 51.744 * * [simplify]: Extracting #2: cost 291 inf + 0 51.745 * * [simplify]: Extracting #3: cost 351 inf + 330 51.748 * * [simplify]: Extracting #4: cost 292 inf + 10616 51.760 * * [simplify]: Extracting #5: cost 106 inf + 72492 51.781 * * [simplify]: Extracting #6: cost 11 inf + 113464 51.824 * * [simplify]: Extracting #7: cost 0 inf + 118407 51.871 * * [simplify]: Extracting #8: cost 0 inf + 118362 51.907 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) 51.907 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))))) 51.907 * * * * [progress]: [ 101 / 414 ] simplifiying candidate # 51.907 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 51.907 * * [simplify]: iters left: 6 (23 enodes) 51.914 * * [simplify]: iters left: 5 (100 enodes) 51.934 * * [simplify]: iters left: 4 (200 enodes) 52.027 * * [simplify]: iters left: 3 (467 enodes) 52.187 * * [simplify]: Extracting #0: cost 1 inf + 0 52.187 * * [simplify]: Extracting #1: cost 85 inf + 0 52.189 * * [simplify]: Extracting #2: cost 358 inf + 0 52.194 * * [simplify]: Extracting #3: cost 373 inf + 3757 52.213 * * [simplify]: Extracting #4: cost 205 inf + 61781 52.256 * * [simplify]: Extracting #5: cost 21 inf + 141047 52.298 * * [simplify]: Extracting #6: cost 5 inf + 143514 52.331 * * [simplify]: Extracting #7: cost 0 inf + 145729 52.392 * * [simplify]: Extracting #8: cost 0 inf + 145695 52.453 * * [simplify]: Extracting #9: cost 0 inf + 145694 52.491 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 52.491 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 52.491 * * * * [progress]: [ 102 / 414 ] simplifiying candidate # 52.491 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 52.491 * * [simplify]: iters left: 6 (23 enodes) 52.499 * * [simplify]: iters left: 5 (100 enodes) 52.530 * * [simplify]: iters left: 4 (200 enodes) 52.605 * * [simplify]: iters left: 3 (467 enodes) 52.814 * * [simplify]: Extracting #0: cost 1 inf + 0 52.814 * * [simplify]: Extracting #1: cost 85 inf + 0 52.816 * * [simplify]: Extracting #2: cost 358 inf + 0 52.819 * * [simplify]: Extracting #3: cost 373 inf + 3757 52.839 * * [simplify]: Extracting #4: cost 205 inf + 61781 52.869 * * [simplify]: Extracting #5: cost 21 inf + 141047 52.931 * * [simplify]: Extracting #6: cost 5 inf + 143514 52.985 * * [simplify]: Extracting #7: cost 0 inf + 145729 53.017 * * [simplify]: Extracting #8: cost 0 inf + 145695 53.078 * * [simplify]: Extracting #9: cost 0 inf + 145694 53.137 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 53.138 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 53.138 * * * * [progress]: [ 103 / 414 ] simplifiying candidate # 53.138 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 53.138 * * [simplify]: iters left: 6 (23 enodes) 53.151 * * [simplify]: iters left: 5 (101 enodes) 53.186 * * [simplify]: iters left: 4 (201 enodes) 53.241 * * [simplify]: iters left: 3 (496 enodes) 53.510 * * [simplify]: Extracting #0: cost 1 inf + 0 53.511 * * [simplify]: Extracting #1: cost 92 inf + 0 53.513 * * [simplify]: Extracting #2: cost 424 inf + 0 53.517 * * [simplify]: Extracting #3: cost 474 inf + 932 53.524 * * [simplify]: Extracting #4: cost 370 inf + 31017 53.552 * * [simplify]: Extracting #5: cost 72 inf + 154593 53.618 * * [simplify]: Extracting #6: cost 1 inf + 183568 53.657 * * [simplify]: Extracting #7: cost 0 inf + 182931 53.700 * * [simplify]: Extracting #8: cost 0 inf + 182802 53.763 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 53.763 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 53.763 * * * * [progress]: [ 104 / 414 ] simplifiying candidate # 53.764 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 53.764 * * [simplify]: iters left: 6 (23 enodes) 53.777 * * [simplify]: iters left: 5 (91 enodes) 53.794 * * [simplify]: iters left: 4 (169 enodes) 53.844 * * [simplify]: iters left: 3 (374 enodes) 54.003 * * [simplify]: Extracting #0: cost 1 inf + 0 54.003 * * [simplify]: Extracting #1: cost 65 inf + 0 54.005 * * [simplify]: Extracting #2: cost 235 inf + 0 54.007 * * [simplify]: Extracting #3: cost 265 inf + 686 54.012 * * [simplify]: Extracting #4: cost 191 inf + 14023 54.043 * * [simplify]: Extracting #5: cost 42 inf + 68233 54.065 * * [simplify]: Extracting #6: cost 0 inf + 87710 54.084 * * [simplify]: Extracting #7: cost 0 inf + 87206 54.112 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 54.112 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 54.112 * * * * [progress]: [ 105 / 414 ] simplifiying candidate # 54.112 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 54.113 * * [simplify]: iters left: 6 (23 enodes) 54.119 * * [simplify]: iters left: 5 (91 enodes) 54.136 * * [simplify]: iters left: 4 (169 enodes) 54.187 * * [simplify]: iters left: 3 (374 enodes) 54.345 * * [simplify]: Extracting #0: cost 1 inf + 0 54.345 * * [simplify]: Extracting #1: cost 65 inf + 0 54.346 * * [simplify]: Extracting #2: cost 235 inf + 0 54.347 * * [simplify]: Extracting #3: cost 265 inf + 686 54.350 * * [simplify]: Extracting #4: cost 191 inf + 14023 54.363 * * [simplify]: Extracting #5: cost 42 inf + 68233 54.397 * * [simplify]: Extracting #6: cost 0 inf + 87710 54.415 * * [simplify]: Extracting #7: cost 0 inf + 87206 54.446 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 54.447 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 54.447 * * * * [progress]: [ 106 / 414 ] simplifiying candidate # 54.447 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 54.447 * * [simplify]: iters left: 6 (23 enodes) 54.460 * * [simplify]: iters left: 5 (92 enodes) 54.490 * * [simplify]: iters left: 4 (171 enodes) 54.562 * * [simplify]: iters left: 3 (416 enodes) 54.743 * * [simplify]: Extracting #0: cost 1 inf + 0 54.743 * * [simplify]: Extracting #1: cost 71 inf + 0 54.744 * * [simplify]: Extracting #2: cost 283 inf + 0 54.746 * * [simplify]: Extracting #3: cost 343 inf + 372 54.749 * * [simplify]: Extracting #4: cost 298 inf + 7333 54.759 * * [simplify]: Extracting #5: cost 144 inf + 56309 54.805 * * [simplify]: Extracting #6: cost 3 inf + 112121 54.833 * * [simplify]: Extracting #7: cost 0 inf + 112423 54.861 * * [simplify]: Extracting #8: cost 0 inf + 112408 54.884 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 54.884 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 54.884 * * * * [progress]: [ 107 / 414 ] simplifiying candidate # 54.884 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 54.885 * * [simplify]: iters left: 6 (19 enodes) 54.896 * * [simplify]: iters left: 5 (85 enodes) 54.923 * * [simplify]: iters left: 4 (168 enodes) 54.955 * * [simplify]: iters left: 3 (346 enodes) 55.062 * * [simplify]: Extracting #0: cost 1 inf + 0 55.062 * * [simplify]: Extracting #1: cost 53 inf + 0 55.063 * * [simplify]: Extracting #2: cost 213 inf + 0 55.064 * * [simplify]: Extracting #3: cost 234 inf + 1570 55.071 * * [simplify]: Extracting #4: cost 152 inf + 20482 55.093 * * [simplify]: Extracting #5: cost 39 inf + 57268 55.124 * * [simplify]: Extracting #6: cost 0 inf + 74943 55.155 * * [simplify]: Extracting #7: cost 0 inf + 74837 55.187 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 55.187 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 55.187 * * * * [progress]: [ 108 / 414 ] simplifiying candidate # 55.188 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 55.188 * * [simplify]: iters left: 6 (19 enodes) 55.203 * * [simplify]: iters left: 5 (85 enodes) 55.233 * * [simplify]: iters left: 4 (168 enodes) 55.279 * * [simplify]: iters left: 3 (346 enodes) 55.412 * * [simplify]: Extracting #0: cost 1 inf + 0 55.412 * * [simplify]: Extracting #1: cost 53 inf + 0 55.413 * * [simplify]: Extracting #2: cost 213 inf + 0 55.414 * * [simplify]: Extracting #3: cost 234 inf + 1570 55.417 * * [simplify]: Extracting #4: cost 152 inf + 20482 55.441 * * [simplify]: Extracting #5: cost 39 inf + 57268 55.458 * * [simplify]: Extracting #6: cost 0 inf + 74943 55.476 * * [simplify]: Extracting #7: cost 0 inf + 74837 55.507 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 55.508 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 55.508 * * * * [progress]: [ 109 / 414 ] simplifiying candidate # 55.508 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 55.508 * * [simplify]: iters left: 6 (19 enodes) 55.519 * * [simplify]: iters left: 5 (86 enodes) 55.550 * * [simplify]: iters left: 4 (170 enodes) 55.584 * * [simplify]: iters left: 3 (391 enodes) 55.731 * * [simplify]: Extracting #0: cost 1 inf + 0 55.732 * * [simplify]: Extracting #1: cost 63 inf + 0 55.733 * * [simplify]: Extracting #2: cost 268 inf + 0 55.736 * * [simplify]: Extracting #3: cost 328 inf + 372 55.739 * * [simplify]: Extracting #4: cost 270 inf + 12564 55.753 * * [simplify]: Extracting #5: cost 77 inf + 72955 55.777 * * [simplify]: Extracting #6: cost 8 inf + 101992 55.805 * * [simplify]: Extracting #7: cost 0 inf + 106686 55.837 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 55.837 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 55.837 * * * * [progress]: [ 110 / 414 ] simplifiying candidate # 55.838 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 55.838 * * [simplify]: iters left: 6 (19 enodes) 55.849 * * [simplify]: iters left: 5 (85 enodes) 55.879 * * [simplify]: iters left: 4 (168 enodes) 55.918 * * [simplify]: iters left: 3 (346 enodes) 56.032 * * [simplify]: Extracting #0: cost 1 inf + 0 56.033 * * [simplify]: Extracting #1: cost 53 inf + 0 56.033 * * [simplify]: Extracting #2: cost 213 inf + 0 56.034 * * [simplify]: Extracting #3: cost 234 inf + 1570 56.039 * * [simplify]: Extracting #4: cost 152 inf + 20482 56.062 * * [simplify]: Extracting #5: cost 39 inf + 57268 56.089 * * [simplify]: Extracting #6: cost 0 inf + 74943 56.104 * * [simplify]: Extracting #7: cost 0 inf + 74837 56.127 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 56.127 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 56.131 * * * * [progress]: [ 111 / 414 ] simplifiying candidate # 56.131 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 56.131 * * [simplify]: iters left: 6 (19 enodes) 56.141 * * [simplify]: iters left: 5 (85 enodes) 56.157 * * [simplify]: iters left: 4 (168 enodes) 56.201 * * [simplify]: iters left: 3 (346 enodes) 56.343 * * [simplify]: Extracting #0: cost 1 inf + 0 56.344 * * [simplify]: Extracting #1: cost 53 inf + 0 56.345 * * [simplify]: Extracting #2: cost 213 inf + 0 56.351 * * [simplify]: Extracting #3: cost 234 inf + 1570 56.358 * * [simplify]: Extracting #4: cost 152 inf + 20482 56.379 * * [simplify]: Extracting #5: cost 39 inf + 57268 56.411 * * [simplify]: Extracting #6: cost 0 inf + 74943 56.442 * * [simplify]: Extracting #7: cost 0 inf + 74837 56.466 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 56.466 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 56.466 * * * * [progress]: [ 112 / 414 ] simplifiying candidate # 56.467 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 56.467 * * [simplify]: iters left: 6 (19 enodes) 56.472 * * [simplify]: iters left: 5 (86 enodes) 56.490 * * [simplify]: iters left: 4 (170 enodes) 56.524 * * [simplify]: iters left: 3 (391 enodes) 56.674 * * [simplify]: Extracting #0: cost 1 inf + 0 56.675 * * [simplify]: Extracting #1: cost 63 inf + 0 56.676 * * [simplify]: Extracting #2: cost 268 inf + 0 56.679 * * [simplify]: Extracting #3: cost 328 inf + 372 56.684 * * [simplify]: Extracting #4: cost 270 inf + 12564 56.700 * * [simplify]: Extracting #5: cost 77 inf + 72955 56.720 * * [simplify]: Extracting #6: cost 8 inf + 101992 56.740 * * [simplify]: Extracting #7: cost 0 inf + 106686 56.764 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 56.764 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 56.764 * * * * [progress]: [ 113 / 414 ] simplifiying candidate # 56.764 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 56.764 * * [simplify]: iters left: 6 (21 enodes) 56.770 * * [simplify]: iters left: 5 (94 enodes) 56.787 * * [simplify]: iters left: 4 (201 enodes) 56.856 * * [simplify]: iters left: 3 (446 enodes) 57.039 * * [simplify]: Extracting #0: cost 1 inf + 0 57.039 * * [simplify]: Extracting #1: cost 73 inf + 0 57.040 * * [simplify]: Extracting #2: cost 320 inf + 0 57.043 * * [simplify]: Extracting #3: cost 375 inf + 1229 57.057 * * [simplify]: Extracting #4: cost 243 inf + 38972 57.100 * * [simplify]: Extracting #5: cost 26 inf + 116560 57.152 * * [simplify]: Extracting #6: cost 5 inf + 125807 57.208 * * [simplify]: Extracting #7: cost 0 inf + 128479 57.260 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 57.260 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 57.261 * * * * [progress]: [ 114 / 414 ] simplifiying candidate # 57.261 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 57.261 * * [simplify]: iters left: 6 (21 enodes) 57.274 * * [simplify]: iters left: 5 (94 enodes) 57.307 * * [simplify]: iters left: 4 (201 enodes) 57.368 * * [simplify]: iters left: 3 (446 enodes) 57.538 * * [simplify]: Extracting #0: cost 1 inf + 0 57.538 * * [simplify]: Extracting #1: cost 73 inf + 0 57.540 * * [simplify]: Extracting #2: cost 320 inf + 0 57.544 * * [simplify]: Extracting #3: cost 375 inf + 1229 57.557 * * [simplify]: Extracting #4: cost 243 inf + 38972 57.601 * * [simplify]: Extracting #5: cost 26 inf + 116560 57.653 * * [simplify]: Extracting #6: cost 5 inf + 125807 57.683 * * [simplify]: Extracting #7: cost 0 inf + 128479 57.714 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 57.714 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 57.714 * * * * [progress]: [ 115 / 414 ] simplifiying candidate # 57.715 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 57.715 * * [simplify]: iters left: 6 (21 enodes) 57.721 * * [simplify]: iters left: 5 (95 enodes) 57.746 * * [simplify]: iters left: 4 (202 enodes) 57.810 * * [simplify]: iters left: 3 (475 enodes) 57.984 * * [simplify]: Extracting #0: cost 1 inf + 0 57.984 * * [simplify]: Extracting #1: cost 80 inf + 0 57.993 * * [simplify]: Extracting #2: cost 381 inf + 0 57.997 * * [simplify]: Extracting #3: cost 448 inf + 820 58.007 * * [simplify]: Extracting #4: cost 336 inf + 26649 58.030 * * [simplify]: Extracting #5: cost 64 inf + 129370 58.089 * * [simplify]: Extracting #6: cost 4 inf + 156713 58.153 * * [simplify]: Extracting #7: cost 0 inf + 158361 58.213 * * [simplify]: Extracting #8: cost 0 inf + 158315 58.275 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 58.276 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 58.276 * * * * [progress]: [ 116 / 414 ] simplifiying candidate # 58.276 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 58.277 * * [simplify]: iters left: 6 (23 enodes) 58.290 * * [simplify]: iters left: 5 (91 enodes) 58.311 * * [simplify]: iters left: 4 (169 enodes) 58.364 * * [simplify]: iters left: 3 (374 enodes) 58.532 * * [simplify]: Extracting #0: cost 1 inf + 0 58.533 * * [simplify]: Extracting #1: cost 65 inf + 0 58.534 * * [simplify]: Extracting #2: cost 235 inf + 0 58.536 * * [simplify]: Extracting #3: cost 265 inf + 686 58.543 * * [simplify]: Extracting #4: cost 191 inf + 14023 58.568 * * [simplify]: Extracting #5: cost 42 inf + 68233 58.605 * * [simplify]: Extracting #6: cost 0 inf + 87710 58.648 * * [simplify]: Extracting #7: cost 0 inf + 87206 58.685 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 58.685 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 58.685 * * * * [progress]: [ 117 / 414 ] simplifiying candidate # 58.686 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 58.686 * * [simplify]: iters left: 6 (23 enodes) 58.700 * * [simplify]: iters left: 5 (91 enodes) 58.723 * * [simplify]: iters left: 4 (169 enodes) 58.790 * * [simplify]: iters left: 3 (374 enodes) 58.925 * * [simplify]: Extracting #0: cost 1 inf + 0 58.925 * * [simplify]: Extracting #1: cost 65 inf + 0 58.926 * * [simplify]: Extracting #2: cost 235 inf + 0 58.927 * * [simplify]: Extracting #3: cost 265 inf + 686 58.930 * * [simplify]: Extracting #4: cost 191 inf + 14023 58.945 * * [simplify]: Extracting #5: cost 42 inf + 68233 58.972 * * [simplify]: Extracting #6: cost 0 inf + 87710 58.995 * * [simplify]: Extracting #7: cost 0 inf + 87206 59.013 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 59.013 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 59.014 * * * * [progress]: [ 118 / 414 ] simplifiying candidate # 59.014 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 59.014 * * [simplify]: iters left: 6 (23 enodes) 59.020 * * [simplify]: iters left: 5 (92 enodes) 59.042 * * [simplify]: iters left: 4 (171 enodes) 59.092 * * [simplify]: iters left: 3 (416 enodes) 59.227 * * [simplify]: Extracting #0: cost 1 inf + 0 59.227 * * [simplify]: Extracting #1: cost 71 inf + 0 59.228 * * [simplify]: Extracting #2: cost 283 inf + 0 59.230 * * [simplify]: Extracting #3: cost 343 inf + 372 59.233 * * [simplify]: Extracting #4: cost 298 inf + 7333 59.241 * * [simplify]: Extracting #5: cost 144 inf + 56309 59.276 * * [simplify]: Extracting #6: cost 3 inf + 112121 59.321 * * [simplify]: Extracting #7: cost 0 inf + 112423 59.355 * * [simplify]: Extracting #8: cost 0 inf + 112408 59.386 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 59.386 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 59.386 * * * * [progress]: [ 119 / 414 ] simplifiying candidate # 59.387 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 59.387 * * [simplify]: iters left: 6 (19 enodes) 59.398 * * [simplify]: iters left: 5 (85 enodes) 59.427 * * [simplify]: iters left: 4 (168 enodes) 59.480 * * [simplify]: iters left: 3 (346 enodes) 59.594 * * [simplify]: Extracting #0: cost 1 inf + 0 59.594 * * [simplify]: Extracting #1: cost 53 inf + 0 59.596 * * [simplify]: Extracting #2: cost 213 inf + 0 59.598 * * [simplify]: Extracting #3: cost 234 inf + 1570 59.605 * * [simplify]: Extracting #4: cost 152 inf + 20482 59.628 * * [simplify]: Extracting #5: cost 39 inf + 57268 59.658 * * [simplify]: Extracting #6: cost 0 inf + 74943 59.678 * * [simplify]: Extracting #7: cost 0 inf + 74837 59.699 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 59.699 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 59.700 * * * * [progress]: [ 120 / 414 ] simplifiying candidate # 59.700 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 59.700 * * [simplify]: iters left: 6 (19 enodes) 59.711 * * [simplify]: iters left: 5 (85 enodes) 59.742 * * [simplify]: iters left: 4 (168 enodes) 59.787 * * [simplify]: iters left: 3 (346 enodes) 59.915 * * [simplify]: Extracting #0: cost 1 inf + 0 59.915 * * [simplify]: Extracting #1: cost 53 inf + 0 59.916 * * [simplify]: Extracting #2: cost 213 inf + 0 59.917 * * [simplify]: Extracting #3: cost 234 inf + 1570 59.921 * * [simplify]: Extracting #4: cost 152 inf + 20482 59.932 * * [simplify]: Extracting #5: cost 39 inf + 57268 59.948 * * [simplify]: Extracting #6: cost 0 inf + 74943 59.981 * * [simplify]: Extracting #7: cost 0 inf + 74837 60.010 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 60.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 60.010 * * * * [progress]: [ 121 / 414 ] simplifiying candidate # 60.010 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 60.010 * * [simplify]: iters left: 6 (19 enodes) 60.017 * * [simplify]: iters left: 5 (86 enodes) 60.033 * * [simplify]: iters left: 4 (170 enodes) 60.075 * * [simplify]: iters left: 3 (391 enodes) 60.231 * * [simplify]: Extracting #0: cost 1 inf + 0 60.231 * * [simplify]: Extracting #1: cost 63 inf + 0 60.233 * * [simplify]: Extracting #2: cost 268 inf + 0 60.235 * * [simplify]: Extracting #3: cost 328 inf + 372 60.241 * * [simplify]: Extracting #4: cost 270 inf + 12564 60.266 * * [simplify]: Extracting #5: cost 77 inf + 72955 60.310 * * [simplify]: Extracting #6: cost 8 inf + 101992 60.334 * * [simplify]: Extracting #7: cost 0 inf + 106686 60.363 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 60.363 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 60.364 * * * * [progress]: [ 122 / 414 ] simplifiying candidate # 60.364 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 60.364 * * [simplify]: iters left: 6 (19 enodes) 60.375 * * [simplify]: iters left: 5 (85 enodes) 60.393 * * [simplify]: iters left: 4 (168 enodes) 60.428 * * [simplify]: iters left: 3 (346 enodes) 60.538 * * [simplify]: Extracting #0: cost 1 inf + 0 60.538 * * [simplify]: Extracting #1: cost 53 inf + 0 60.539 * * [simplify]: Extracting #2: cost 213 inf + 0 60.541 * * [simplify]: Extracting #3: cost 234 inf + 1570 60.548 * * [simplify]: Extracting #4: cost 152 inf + 20482 60.569 * * [simplify]: Extracting #5: cost 39 inf + 57268 60.605 * * [simplify]: Extracting #6: cost 0 inf + 74943 60.638 * * [simplify]: Extracting #7: cost 0 inf + 74837 60.669 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 60.669 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 60.669 * * * * [progress]: [ 123 / 414 ] simplifiying candidate # 60.670 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 60.670 * * [simplify]: iters left: 6 (19 enodes) 60.681 * * [simplify]: iters left: 5 (85 enodes) 60.712 * * [simplify]: iters left: 4 (168 enodes) 60.762 * * [simplify]: iters left: 3 (346 enodes) 60.875 * * [simplify]: Extracting #0: cost 1 inf + 0 60.875 * * [simplify]: Extracting #1: cost 53 inf + 0 60.876 * * [simplify]: Extracting #2: cost 213 inf + 0 60.877 * * [simplify]: Extracting #3: cost 234 inf + 1570 60.880 * * [simplify]: Extracting #4: cost 152 inf + 20482 60.891 * * [simplify]: Extracting #5: cost 39 inf + 57268 60.921 * * [simplify]: Extracting #6: cost 0 inf + 74943 60.944 * * [simplify]: Extracting #7: cost 0 inf + 74837 60.974 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 60.974 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 60.974 * * * * [progress]: [ 124 / 414 ] simplifiying candidate # 60.975 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 60.975 * * [simplify]: iters left: 6 (19 enodes) 60.980 * * [simplify]: iters left: 5 (86 enodes) 60.997 * * [simplify]: iters left: 4 (170 enodes) 61.045 * * [simplify]: iters left: 3 (391 enodes) 61.194 * * [simplify]: Extracting #0: cost 1 inf + 0 61.194 * * [simplify]: Extracting #1: cost 63 inf + 0 61.195 * * [simplify]: Extracting #2: cost 268 inf + 0 61.196 * * [simplify]: Extracting #3: cost 328 inf + 372 61.199 * * [simplify]: Extracting #4: cost 270 inf + 12564 61.216 * * [simplify]: Extracting #5: cost 77 inf + 72955 61.243 * * [simplify]: Extracting #6: cost 8 inf + 101992 61.268 * * [simplify]: Extracting #7: cost 0 inf + 106686 61.292 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 61.293 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 61.293 * * * * [progress]: [ 125 / 414 ] simplifiying candidate # 61.293 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 61.293 * * [simplify]: iters left: 6 (21 enodes) 61.299 * * [simplify]: iters left: 5 (94 enodes) 61.327 * * [simplify]: iters left: 4 (201 enodes) 61.392 * * [simplify]: iters left: 3 (446 enodes) 61.599 * * [simplify]: Extracting #0: cost 1 inf + 0 61.599 * * [simplify]: Extracting #1: cost 73 inf + 0 61.601 * * [simplify]: Extracting #2: cost 320 inf + 0 61.604 * * [simplify]: Extracting #3: cost 375 inf + 1229 61.617 * * [simplify]: Extracting #4: cost 243 inf + 38972 61.661 * * [simplify]: Extracting #5: cost 26 inf + 116560 61.699 * * [simplify]: Extracting #6: cost 5 inf + 125807 61.743 * * [simplify]: Extracting #7: cost 0 inf + 128479 61.796 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 61.796 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 61.796 * * * * [progress]: [ 126 / 414 ] simplifiying candidate # 61.797 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 61.797 * * [simplify]: iters left: 6 (21 enodes) 61.811 * * [simplify]: iters left: 5 (94 enodes) 61.843 * * [simplify]: iters left: 4 (201 enodes) 61.921 * * [simplify]: iters left: 3 (446 enodes) 62.110 * * [simplify]: Extracting #0: cost 1 inf + 0 62.110 * * [simplify]: Extracting #1: cost 73 inf + 0 62.112 * * [simplify]: Extracting #2: cost 320 inf + 0 62.116 * * [simplify]: Extracting #3: cost 375 inf + 1229 62.129 * * [simplify]: Extracting #4: cost 243 inf + 38972 62.181 * * [simplify]: Extracting #5: cost 26 inf + 116560 62.220 * * [simplify]: Extracting #6: cost 5 inf + 125807 62.258 * * [simplify]: Extracting #7: cost 0 inf + 128479 62.300 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 62.301 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 62.301 * * * * [progress]: [ 127 / 414 ] simplifiying candidate # 62.301 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 62.301 * * [simplify]: iters left: 6 (21 enodes) 62.308 * * [simplify]: iters left: 5 (95 enodes) 62.327 * * [simplify]: iters left: 4 (202 enodes) 62.387 * * [simplify]: iters left: 3 (475 enodes) 62.646 * * [simplify]: Extracting #0: cost 1 inf + 0 62.647 * * [simplify]: Extracting #1: cost 80 inf + 0 62.649 * * [simplify]: Extracting #2: cost 381 inf + 0 62.653 * * [simplify]: Extracting #3: cost 448 inf + 820 62.662 * * [simplify]: Extracting #4: cost 336 inf + 26649 62.684 * * [simplify]: Extracting #5: cost 64 inf + 129370 62.745 * * [simplify]: Extracting #6: cost 4 inf + 156713 62.805 * * [simplify]: Extracting #7: cost 0 inf + 158361 62.861 * * [simplify]: Extracting #8: cost 0 inf + 158315 62.894 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 62.894 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 62.894 * * * * [progress]: [ 128 / 414 ] simplifiying candidate # 62.894 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 62.894 * * [simplify]: iters left: 6 (23 enodes) 62.902 * * [simplify]: iters left: 5 (100 enodes) 62.938 * * [simplify]: iters left: 4 (197 enodes) 62.997 * * [simplify]: iters left: 3 (466 enodes) 63.210 * * [simplify]: Extracting #0: cost 1 inf + 0 63.210 * * [simplify]: Extracting #1: cost 82 inf + 0 63.213 * * [simplify]: Extracting #2: cost 338 inf + 0 63.218 * * [simplify]: Extracting #3: cost 356 inf + 2287 63.229 * * [simplify]: Extracting #4: cost 240 inf + 33572 63.273 * * [simplify]: Extracting #5: cost 33 inf + 119739 63.319 * * [simplify]: Extracting #6: cost 7 inf + 133412 63.359 * * [simplify]: Extracting #7: cost 0 inf + 137506 63.417 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 63.417 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 63.417 * * * * [progress]: [ 129 / 414 ] simplifiying candidate # 63.417 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 63.418 * * [simplify]: iters left: 6 (23 enodes) 63.426 * * [simplify]: iters left: 5 (100 enodes) 63.444 * * [simplify]: iters left: 4 (197 enodes) 63.494 * * [simplify]: iters left: 3 (466 enodes) 63.692 * * [simplify]: Extracting #0: cost 1 inf + 0 63.692 * * [simplify]: Extracting #1: cost 82 inf + 0 63.694 * * [simplify]: Extracting #2: cost 338 inf + 0 63.698 * * [simplify]: Extracting #3: cost 356 inf + 2287 63.705 * * [simplify]: Extracting #4: cost 240 inf + 33572 63.726 * * [simplify]: Extracting #5: cost 33 inf + 119739 63.762 * * [simplify]: Extracting #6: cost 7 inf + 133412 63.813 * * [simplify]: Extracting #7: cost 0 inf + 137506 63.870 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 63.870 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 63.870 * * * * [progress]: [ 130 / 414 ] simplifiying candidate # 63.871 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 63.871 * * [simplify]: iters left: 6 (23 enodes) 63.883 * * [simplify]: iters left: 5 (101 enodes) 63.908 * * [simplify]: iters left: 4 (198 enodes) 63.980 * * [simplify]: iters left: 3 (495 enodes) 64.238 * * [simplify]: Extracting #0: cost 1 inf + 0 64.238 * * [simplify]: Extracting #1: cost 94 inf + 0 64.241 * * [simplify]: Extracting #2: cost 406 inf + 0 64.246 * * [simplify]: Extracting #3: cost 457 inf + 484 64.257 * * [simplify]: Extracting #4: cost 356 inf + 30344 64.303 * * [simplify]: Extracting #5: cost 88 inf + 135948 64.370 * * [simplify]: Extracting #6: cost 1 inf + 176024 64.420 * * [simplify]: Extracting #7: cost 0 inf + 176571 64.454 * * [simplify]: Extracting #8: cost 0 inf + 176525 64.499 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 64.499 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 64.499 * * * * [progress]: [ 131 / 414 ] simplifiying candidate # 64.500 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 64.500 * * [simplify]: iters left: 6 (21 enodes) 64.506 * * [simplify]: iters left: 5 (94 enodes) 64.532 * * [simplify]: iters left: 4 (197 enodes) 64.614 * * [simplify]: iters left: 3 (445 enodes) 64.801 * * [simplify]: Extracting #0: cost 1 inf + 0 64.802 * * [simplify]: Extracting #1: cost 73 inf + 0 64.804 * * [simplify]: Extracting #2: cost 303 inf + 0 64.807 * * [simplify]: Extracting #3: cost 339 inf + 2407 64.820 * * [simplify]: Extracting #4: cost 216 inf + 35241 64.860 * * [simplify]: Extracting #5: cost 48 inf + 100842 64.908 * * [simplify]: Extracting #6: cost 4 inf + 120251 64.944 * * [simplify]: Extracting #7: cost 0 inf + 122878 64.969 * * [simplify]: Extracting #8: cost 0 inf + 122877 65.009 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 65.009 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 65.009 * * * * [progress]: [ 132 / 414 ] simplifiying candidate # 65.009 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 65.009 * * [simplify]: iters left: 6 (21 enodes) 65.016 * * [simplify]: iters left: 5 (94 enodes) 65.037 * * [simplify]: iters left: 4 (197 enodes) 65.085 * * [simplify]: iters left: 3 (445 enodes) 65.253 * * [simplify]: Extracting #0: cost 1 inf + 0 65.253 * * [simplify]: Extracting #1: cost 73 inf + 0 65.255 * * [simplify]: Extracting #2: cost 303 inf + 0 65.257 * * [simplify]: Extracting #3: cost 339 inf + 2407 65.264 * * [simplify]: Extracting #4: cost 216 inf + 35241 65.298 * * [simplify]: Extracting #5: cost 48 inf + 100842 65.323 * * [simplify]: Extracting #6: cost 4 inf + 120251 65.348 * * [simplify]: Extracting #7: cost 0 inf + 122878 65.376 * * [simplify]: Extracting #8: cost 0 inf + 122877 65.426 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 65.426 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 65.427 * * * * [progress]: [ 133 / 414 ] simplifiying candidate # 65.427 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 65.427 * * [simplify]: iters left: 6 (21 enodes) 65.440 * * [simplify]: iters left: 5 (95 enodes) 65.463 * * [simplify]: iters left: 4 (198 enodes) 65.523 * * [simplify]: iters left: 3 (474 enodes) 65.706 * * [simplify]: Extracting #0: cost 1 inf + 0 65.706 * * [simplify]: Extracting #1: cost 81 inf + 0 65.708 * * [simplify]: Extracting #2: cost 356 inf + 0 65.712 * * [simplify]: Extracting #3: cost 427 inf + 413 65.718 * * [simplify]: Extracting #4: cost 345 inf + 19647 65.738 * * [simplify]: Extracting #5: cost 80 inf + 114143 65.776 * * [simplify]: Extracting #6: cost 2 inf + 153305 65.813 * * [simplify]: Extracting #7: cost 0 inf + 154009 65.852 * * [simplify]: Extracting #8: cost 0 inf + 153900 65.896 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 65.896 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 65.896 * * * * [progress]: [ 134 / 414 ] simplifiying candidate # 65.897 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 65.897 * * [simplify]: iters left: 6 (21 enodes) 65.910 * * [simplify]: iters left: 5 (94 enodes) 65.943 * * [simplify]: iters left: 4 (197 enodes) 66.026 * * [simplify]: iters left: 3 (445 enodes) 66.260 * * [simplify]: Extracting #0: cost 1 inf + 0 66.261 * * [simplify]: Extracting #1: cost 73 inf + 0 66.263 * * [simplify]: Extracting #2: cost 303 inf + 0 66.266 * * [simplify]: Extracting #3: cost 339 inf + 2407 66.279 * * [simplify]: Extracting #4: cost 216 inf + 35241 66.318 * * [simplify]: Extracting #5: cost 48 inf + 100842 66.367 * * [simplify]: Extracting #6: cost 4 inf + 120251 66.414 * * [simplify]: Extracting #7: cost 0 inf + 122878 66.457 * * [simplify]: Extracting #8: cost 0 inf + 122877 66.501 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 66.501 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 66.501 * * * * [progress]: [ 135 / 414 ] simplifiying candidate # 66.502 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 66.502 * * [simplify]: iters left: 6 (21 enodes) 66.512 * * [simplify]: iters left: 5 (94 enodes) 66.543 * * [simplify]: iters left: 4 (197 enodes) 66.600 * * [simplify]: iters left: 3 (445 enodes) 66.813 * * [simplify]: Extracting #0: cost 1 inf + 0 66.813 * * [simplify]: Extracting #1: cost 73 inf + 0 66.815 * * [simplify]: Extracting #2: cost 303 inf + 0 66.817 * * [simplify]: Extracting #3: cost 339 inf + 2407 66.824 * * [simplify]: Extracting #4: cost 216 inf + 35241 66.852 * * [simplify]: Extracting #5: cost 48 inf + 100842 66.886 * * [simplify]: Extracting #6: cost 4 inf + 120251 66.912 * * [simplify]: Extracting #7: cost 0 inf + 122878 66.938 * * [simplify]: Extracting #8: cost 0 inf + 122877 66.964 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 66.964 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 66.964 * * * * [progress]: [ 136 / 414 ] simplifiying candidate # 66.964 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 66.965 * * [simplify]: iters left: 6 (21 enodes) 66.971 * * [simplify]: iters left: 5 (95 enodes) 66.995 * * [simplify]: iters left: 4 (198 enodes) 67.078 * * [simplify]: iters left: 3 (474 enodes) 67.351 * * [simplify]: Extracting #0: cost 1 inf + 0 67.351 * * [simplify]: Extracting #1: cost 81 inf + 0 67.353 * * [simplify]: Extracting #2: cost 356 inf + 0 67.357 * * [simplify]: Extracting #3: cost 427 inf + 413 67.365 * * [simplify]: Extracting #4: cost 345 inf + 19647 67.406 * * [simplify]: Extracting #5: cost 80 inf + 114143 67.473 * * [simplify]: Extracting #6: cost 2 inf + 153305 67.509 * * [simplify]: Extracting #7: cost 0 inf + 154009 67.544 * * [simplify]: Extracting #8: cost 0 inf + 153900 67.595 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 67.595 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 67.595 * * * * [progress]: [ 137 / 414 ] simplifiying candidate # 67.595 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 67.596 * * [simplify]: iters left: 6 (19 enodes) 67.604 * * [simplify]: iters left: 5 (84 enodes) 67.620 * * [simplify]: iters left: 4 (167 enodes) 67.672 * * [simplify]: iters left: 3 (366 enodes) 67.871 * * [simplify]: Extracting #0: cost 1 inf + 0 67.872 * * [simplify]: Extracting #1: cost 52 inf + 0 67.873 * * [simplify]: Extracting #2: cost 243 inf + 0 67.875 * * [simplify]: Extracting #3: cost 297 inf + 2270 67.883 * * [simplify]: Extracting #4: cost 225 inf + 18605 67.905 * * [simplify]: Extracting #5: cost 67 inf + 73551 67.929 * * [simplify]: Extracting #6: cost 2 inf + 97348 67.969 * * [simplify]: Extracting #7: cost 0 inf + 97725 68.009 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 68.009 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 68.009 * * * * [progress]: [ 138 / 414 ] simplifiying candidate # 68.009 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 68.010 * * [simplify]: iters left: 6 (19 enodes) 68.021 * * [simplify]: iters left: 5 (84 enodes) 68.042 * * [simplify]: iters left: 4 (167 enodes) 68.092 * * [simplify]: iters left: 3 (366 enodes) 68.238 * * [simplify]: Extracting #0: cost 1 inf + 0 68.238 * * [simplify]: Extracting #1: cost 52 inf + 0 68.240 * * [simplify]: Extracting #2: cost 243 inf + 0 68.243 * * [simplify]: Extracting #3: cost 297 inf + 2270 68.250 * * [simplify]: Extracting #4: cost 225 inf + 18605 68.278 * * [simplify]: Extracting #5: cost 67 inf + 73551 68.303 * * [simplify]: Extracting #6: cost 2 inf + 97348 68.326 * * [simplify]: Extracting #7: cost 0 inf + 97725 68.355 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 68.355 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 68.355 * * * * [progress]: [ 139 / 414 ] simplifiying candidate # 68.356 * [simplify]: Simplifying (+ (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 68.356 * * [simplify]: iters left: 6 (19 enodes) 68.361 * * [simplify]: iters left: 5 (85 enodes) 68.377 * * [simplify]: iters left: 4 (168 enodes) 68.413 * * [simplify]: iters left: 3 (394 enodes) 68.611 * * [simplify]: Extracting #0: cost 1 inf + 0 68.611 * * [simplify]: Extracting #1: cost 62 inf + 0 68.613 * * [simplify]: Extracting #2: cost 295 inf + 0 68.615 * * [simplify]: Extracting #3: cost 377 inf + 302 68.625 * * [simplify]: Extracting #4: cost 265 inf + 28182 68.664 * * [simplify]: Extracting #5: cost 44 inf + 115654 68.697 * * [simplify]: Extracting #6: cost 8 inf + 124843 68.732 * * [simplify]: Extracting #7: cost 0 inf + 129535 68.772 * * [simplify]: Extracting #8: cost 0 inf + 129455 68.805 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 68.805 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 68.805 * * * * [progress]: [ 140 / 414 ] simplifiying candidate # 68.806 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 68.806 * * [simplify]: iters left: 6 (21 enodes) 68.818 * * [simplify]: iters left: 5 (91 enodes) 68.847 * * [simplify]: iters left: 4 (190 enodes) 68.904 * * [simplify]: Extracting #0: cost 1 inf + 0 68.904 * * [simplify]: Extracting #1: cost 36 inf + 0 68.904 * * [simplify]: Extracting #2: cost 135 inf + 1 68.905 * * [simplify]: Extracting #3: cost 163 inf + 78 68.906 * * [simplify]: Extracting #4: cost 155 inf + 915 68.910 * * [simplify]: Extracting #5: cost 72 inf + 21793 68.922 * * [simplify]: Extracting #6: cost 13 inf + 47528 68.932 * * [simplify]: Extracting #7: cost 0 inf + 54514 68.943 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))))) 68.943 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))))))) 68.943 * * * * [progress]: [ 141 / 414 ] simplifiying candidate # 68.943 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 68.943 * * [simplify]: iters left: 6 (21 enodes) 68.954 * * [simplify]: iters left: 5 (91 enodes) 68.989 * * [simplify]: iters left: 4 (190 enodes) 69.091 * * [simplify]: Extracting #0: cost 1 inf + 0 69.091 * * [simplify]: Extracting #1: cost 36 inf + 0 69.092 * * [simplify]: Extracting #2: cost 135 inf + 1 69.092 * * [simplify]: Extracting #3: cost 163 inf + 78 69.093 * * [simplify]: Extracting #4: cost 155 inf + 915 69.096 * * [simplify]: Extracting #5: cost 72 inf + 21793 69.105 * * [simplify]: Extracting #6: cost 13 inf + 47528 69.117 * * [simplify]: Extracting #7: cost 0 inf + 54514 69.138 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))))) 69.139 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))))))) 69.139 * * * * [progress]: [ 142 / 414 ] simplifiying candidate # 69.139 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 69.139 * * [simplify]: iters left: 6 (21 enodes) 69.150 * * [simplify]: iters left: 5 (92 enodes) 69.171 * * [simplify]: iters left: 4 (192 enodes) 69.237 * * [simplify]: Extracting #0: cost 1 inf + 0 69.238 * * [simplify]: Extracting #1: cost 39 inf + 0 69.238 * * [simplify]: Extracting #2: cost 147 inf + 1 69.240 * * [simplify]: Extracting #3: cost 185 inf + 148 69.242 * * [simplify]: Extracting #4: cost 150 inf + 7722 69.252 * * [simplify]: Extracting #5: cost 79 inf + 28434 69.270 * * [simplify]: Extracting #6: cost 17 inf + 52871 69.292 * * [simplify]: Extracting #7: cost 0 inf + 61861 69.315 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 69.316 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 69.316 * * * * [progress]: [ 143 / 414 ] simplifiying candidate # 69.316 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.317 * * [simplify]: iters left: 6 (24 enodes) 69.330 * * [simplify]: iters left: 5 (97 enodes) 69.366 * * [simplify]: iters left: 4 (203 enodes) 69.439 * * [simplify]: Extracting #0: cost 1 inf + 0 69.439 * * [simplify]: Extracting #1: cost 36 inf + 0 69.440 * * [simplify]: Extracting #2: cost 133 inf + 1 69.440 * * [simplify]: Extracting #3: cost 162 inf + 78 69.441 * * [simplify]: Extracting #4: cost 159 inf + 677 69.442 * * [simplify]: Extracting #5: cost 120 inf + 5872 69.446 * * [simplify]: Extracting #6: cost 53 inf + 25806 69.454 * * [simplify]: Extracting #7: cost 12 inf + 41043 69.474 * * [simplify]: Extracting #8: cost 0 inf + 46501 69.494 * * [simplify]: Extracting #9: cost 0 inf + 46426 69.512 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))) 69.513 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 69.513 * * * * [progress]: [ 144 / 414 ] simplifiying candidate # 69.513 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 69.513 * * [simplify]: iters left: 6 (24 enodes) 69.527 * * [simplify]: iters left: 5 (97 enodes) 69.562 * * [simplify]: iters left: 4 (203 enodes) 69.652 * * [simplify]: Extracting #0: cost 1 inf + 0 69.652 * * [simplify]: Extracting #1: cost 36 inf + 0 69.653 * * [simplify]: Extracting #2: cost 133 inf + 1 69.653 * * [simplify]: Extracting #3: cost 162 inf + 78 69.654 * * [simplify]: Extracting #4: cost 159 inf + 677 69.655 * * [simplify]: Extracting #5: cost 120 inf + 5872 69.659 * * [simplify]: Extracting #6: cost 53 inf + 25806 69.667 * * [simplify]: Extracting #7: cost 12 inf + 41043 69.677 * * [simplify]: Extracting #8: cost 0 inf + 46501 69.694 * * [simplify]: Extracting #9: cost 0 inf + 46426 69.713 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))) 69.713 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 69.713 * * * * [progress]: [ 145 / 414 ] simplifiying candidate # 69.713 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 69.713 * * [simplify]: iters left: 6 (24 enodes) 69.721 * * [simplify]: iters left: 5 (98 enodes) 69.739 * * [simplify]: iters left: 4 (205 enodes) 70.211 * * [simplify]: Extracting #0: cost 1 inf + 0 70.211 * * [simplify]: Extracting #1: cost 39 inf + 0 70.212 * * [simplify]: Extracting #2: cost 145 inf + 1 70.213 * * [simplify]: Extracting #3: cost 184 inf + 148 70.214 * * [simplify]: Extracting #4: cost 141 inf + 7902 70.221 * * [simplify]: Extracting #5: cost 48 inf + 42164 70.232 * * [simplify]: Extracting #6: cost 5 inf + 57774 70.243 * * [simplify]: Extracting #7: cost 0 inf + 57220 70.260 * * [simplify]: Extracting #8: cost 0 inf + 56539 70.280 * * [simplify]: Extracting #9: cost 0 inf + 56459 70.292 * [simplify]: Simplified to (+ (+ (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (* (log (* PI 2)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 70.292 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (* (log (* PI 2)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 70.292 * * * * [progress]: [ 146 / 414 ] simplifiying candidate # 70.292 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 70.292 * * [simplify]: iters left: 6 (24 enodes) 70.299 * * [simplify]: iters left: 5 (97 enodes) 70.327 * * [simplify]: iters left: 4 (203 enodes) 70.402 * * [simplify]: Extracting #0: cost 1 inf + 0 70.402 * * [simplify]: Extracting #1: cost 36 inf + 0 70.403 * * [simplify]: Extracting #2: cost 133 inf + 1 70.403 * * [simplify]: Extracting #3: cost 162 inf + 78 70.404 * * [simplify]: Extracting #4: cost 159 inf + 677 70.405 * * [simplify]: Extracting #5: cost 120 inf + 5872 70.409 * * [simplify]: Extracting #6: cost 53 inf + 25806 70.418 * * [simplify]: Extracting #7: cost 12 inf + 41043 70.436 * * [simplify]: Extracting #8: cost 0 inf + 46501 70.456 * * [simplify]: Extracting #9: cost 0 inf + 46426 70.475 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))) 70.475 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 70.476 * * * * [progress]: [ 147 / 414 ] simplifiying candidate # 70.476 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 70.476 * * [simplify]: iters left: 6 (24 enodes) 70.496 * * [simplify]: iters left: 5 (97 enodes) 70.528 * * [simplify]: iters left: 4 (203 enodes) 70.638 * * [simplify]: Extracting #0: cost 1 inf + 0 70.639 * * [simplify]: Extracting #1: cost 36 inf + 0 70.639 * * [simplify]: Extracting #2: cost 133 inf + 1 70.641 * * [simplify]: Extracting #3: cost 162 inf + 78 70.642 * * [simplify]: Extracting #4: cost 159 inf + 677 70.645 * * [simplify]: Extracting #5: cost 120 inf + 5872 70.653 * * [simplify]: Extracting #6: cost 53 inf + 25806 70.667 * * [simplify]: Extracting #7: cost 12 inf + 41043 70.676 * * [simplify]: Extracting #8: cost 0 inf + 46501 70.686 * * [simplify]: Extracting #9: cost 0 inf + 46426 70.699 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))) 70.699 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* PI 2)) (/ (- 1 k) 4)))))) 70.700 * * * * [progress]: [ 148 / 414 ] simplifiying candidate # 70.700 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 70.700 * * [simplify]: iters left: 6 (24 enodes) 70.715 * * [simplify]: iters left: 5 (98 enodes) 70.750 * * [simplify]: iters left: 4 (205 enodes) 70.831 * * [simplify]: Extracting #0: cost 1 inf + 0 70.831 * * [simplify]: Extracting #1: cost 39 inf + 0 70.832 * * [simplify]: Extracting #2: cost 145 inf + 1 70.832 * * [simplify]: Extracting #3: cost 184 inf + 148 70.834 * * [simplify]: Extracting #4: cost 141 inf + 7902 70.843 * * [simplify]: Extracting #5: cost 48 inf + 42164 70.854 * * [simplify]: Extracting #6: cost 5 inf + 57774 70.874 * * [simplify]: Extracting #7: cost 0 inf + 57220 70.898 * * [simplify]: Extracting #8: cost 0 inf + 56539 70.920 * * [simplify]: Extracting #9: cost 0 inf + 56459 70.942 * [simplify]: Simplified to (+ (+ (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (* (log (* PI 2)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 70.942 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (* (log (* PI 2)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 70.942 * * * * [progress]: [ 149 / 414 ] simplifiying candidate # 70.942 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 70.943 * * [simplify]: iters left: 6 (24 enodes) 70.956 * * [simplify]: iters left: 5 (106 enodes) 70.997 * * [simplify]: iters left: 4 (226 enodes) 71.125 * * [simplify]: Extracting #0: cost 1 inf + 0 71.125 * * [simplify]: Extracting #1: cost 30 inf + 0 71.126 * * [simplify]: Extracting #2: cost 133 inf + 1 71.126 * * [simplify]: Extracting #3: cost 174 inf + 78 71.127 * * [simplify]: Extracting #4: cost 166 inf + 1350 71.129 * * [simplify]: Extracting #5: cost 132 inf + 8268 71.135 * * [simplify]: Extracting #6: cost 52 inf + 32984 71.144 * * [simplify]: Extracting #7: cost 0 inf + 53712 71.164 * * [simplify]: Extracting #8: cost 0 inf + 52752 71.184 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 71.184 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 71.185 * * * * [progress]: [ 150 / 414 ] simplifiying candidate # 71.185 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 71.185 * * [simplify]: iters left: 6 (24 enodes) 71.199 * * [simplify]: iters left: 5 (106 enodes) 71.243 * * [simplify]: iters left: 4 (226 enodes) 71.349 * * [simplify]: Extracting #0: cost 1 inf + 0 71.349 * * [simplify]: Extracting #1: cost 30 inf + 0 71.349 * * [simplify]: Extracting #2: cost 133 inf + 1 71.351 * * [simplify]: Extracting #3: cost 174 inf + 78 71.352 * * [simplify]: Extracting #4: cost 166 inf + 1350 71.355 * * [simplify]: Extracting #5: cost 132 inf + 8268 71.367 * * [simplify]: Extracting #6: cost 52 inf + 32984 71.382 * * [simplify]: Extracting #7: cost 0 inf + 53712 71.392 * * [simplify]: Extracting #8: cost 0 inf + 52752 71.407 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 71.407 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 71.408 * * * * [progress]: [ 151 / 414 ] simplifiying candidate # 71.408 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 71.408 * * [simplify]: iters left: 6 (24 enodes) 71.423 * * [simplify]: iters left: 5 (107 enodes) 71.458 * * [simplify]: iters left: 4 (227 enodes) 71.542 * * [simplify]: Extracting #0: cost 1 inf + 0 71.542 * * [simplify]: Extracting #1: cost 33 inf + 0 71.542 * * [simplify]: Extracting #2: cost 145 inf + 1 71.543 * * [simplify]: Extracting #3: cost 193 inf + 77 71.546 * * [simplify]: Extracting #4: cost 139 inf + 12475 71.556 * * [simplify]: Extracting #5: cost 55 inf + 38492 71.566 * * [simplify]: Extracting #6: cost 1 inf + 60549 71.577 * * [simplify]: Extracting #7: cost 0 inf + 60174 71.594 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 71.594 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 71.595 * * * * [progress]: [ 152 / 414 ] simplifiying candidate # 71.595 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 71.595 * * [simplify]: iters left: 6 (24 enodes) 71.609 * * [simplify]: iters left: 5 (97 enodes) 71.630 * * [simplify]: iters left: 4 (192 enodes) 71.700 * * [simplify]: Extracting #0: cost 1 inf + 0 71.700 * * [simplify]: Extracting #1: cost 36 inf + 0 71.701 * * [simplify]: Extracting #2: cost 131 inf + 1 71.702 * * [simplify]: Extracting #3: cost 161 inf + 7 71.704 * * [simplify]: Extracting #4: cost 148 inf + 1555 71.709 * * [simplify]: Extracting #5: cost 81 inf + 15156 71.723 * * [simplify]: Extracting #6: cost 19 inf + 37136 71.739 * * [simplify]: Extracting #7: cost 0 inf + 47527 71.751 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 71.751 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 71.751 * * * * [progress]: [ 153 / 414 ] simplifiying candidate # 71.751 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 71.751 * * [simplify]: iters left: 6 (24 enodes) 71.759 * * [simplify]: iters left: 5 (97 enodes) 71.788 * * [simplify]: iters left: 4 (192 enodes) 71.886 * * [simplify]: Extracting #0: cost 1 inf + 0 71.886 * * [simplify]: Extracting #1: cost 36 inf + 0 71.887 * * [simplify]: Extracting #2: cost 131 inf + 1 71.888 * * [simplify]: Extracting #3: cost 161 inf + 7 71.890 * * [simplify]: Extracting #4: cost 148 inf + 1555 71.895 * * [simplify]: Extracting #5: cost 81 inf + 15156 71.909 * * [simplify]: Extracting #6: cost 19 inf + 37136 71.928 * * [simplify]: Extracting #7: cost 0 inf + 47527 71.947 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 71.947 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 71.947 * * * * [progress]: [ 154 / 414 ] simplifiying candidate # 71.948 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 71.948 * * [simplify]: iters left: 6 (24 enodes) 71.962 * * [simplify]: iters left: 5 (98 enodes) 71.997 * * [simplify]: iters left: 4 (194 enodes) 72.066 * * [simplify]: Extracting #0: cost 1 inf + 0 72.066 * * [simplify]: Extracting #1: cost 39 inf + 0 72.067 * * [simplify]: Extracting #2: cost 142 inf + 1 72.068 * * [simplify]: Extracting #3: cost 182 inf + 77 72.071 * * [simplify]: Extracting #4: cost 143 inf + 7606 72.081 * * [simplify]: Extracting #5: cost 35 inf + 43667 72.092 * * [simplify]: Extracting #6: cost 1 inf + 56256 72.106 * * [simplify]: Extracting #7: cost 0 inf + 55560 72.117 * * [simplify]: Extracting #8: cost 0 inf + 55358 72.127 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 72.127 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 72.127 * * * * [progress]: [ 155 / 414 ] simplifiying candidate # 72.128 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 72.128 * * [simplify]: iters left: 6 (20 enodes) 72.134 * * [simplify]: iters left: 5 (91 enodes) 72.152 * * [simplify]: iters left: 4 (193 enodes) 72.228 * * [simplify]: Extracting #0: cost 1 inf + 0 72.228 * * [simplify]: Extracting #1: cost 34 inf + 0 72.229 * * [simplify]: Extracting #2: cost 123 inf + 1 72.230 * * [simplify]: Extracting #3: cost 151 inf + 149 72.231 * * [simplify]: Extracting #4: cost 144 inf + 1026 72.234 * * [simplify]: Extracting #5: cost 96 inf + 7884 72.247 * * [simplify]: Extracting #6: cost 23 inf + 33450 72.258 * * [simplify]: Extracting #7: cost 0 inf + 42836 72.266 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 72.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 72.267 * * * * [progress]: [ 156 / 414 ] simplifiying candidate # 72.267 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 72.267 * * [simplify]: iters left: 6 (20 enodes) 72.273 * * [simplify]: iters left: 5 (91 enodes) 72.291 * * [simplify]: iters left: 4 (193 enodes) 72.349 * * [simplify]: Extracting #0: cost 1 inf + 0 72.349 * * [simplify]: Extracting #1: cost 34 inf + 0 72.350 * * [simplify]: Extracting #2: cost 123 inf + 1 72.350 * * [simplify]: Extracting #3: cost 151 inf + 149 72.351 * * [simplify]: Extracting #4: cost 144 inf + 1026 72.352 * * [simplify]: Extracting #5: cost 96 inf + 7884 72.358 * * [simplify]: Extracting #6: cost 23 inf + 33450 72.370 * * [simplify]: Extracting #7: cost 0 inf + 42836 72.384 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 72.385 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 72.385 * * * * [progress]: [ 157 / 414 ] simplifiying candidate # 72.385 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 72.385 * * [simplify]: iters left: 6 (20 enodes) 72.391 * * [simplify]: iters left: 5 (92 enodes) 72.408 * * [simplify]: iters left: 4 (195 enodes) 72.455 * * [simplify]: Extracting #0: cost 1 inf + 0 72.455 * * [simplify]: Extracting #1: cost 37 inf + 0 72.458 * * [simplify]: Extracting #2: cost 135 inf + 1 72.460 * * [simplify]: Extracting #3: cost 175 inf + 77 72.461 * * [simplify]: Extracting #4: cost 167 inf + 974 72.465 * * [simplify]: Extracting #5: cost 107 inf + 15773 72.473 * * [simplify]: Extracting #6: cost 18 inf + 45825 72.483 * * [simplify]: Extracting #7: cost 0 inf + 51878 72.498 * * [simplify]: Extracting #8: cost 0 inf + 51672 72.518 * [simplify]: Simplified to (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 72.518 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 72.519 * * * * [progress]: [ 158 / 414 ] simplifiying candidate # 72.519 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 72.519 * * [simplify]: iters left: 6 (20 enodes) 72.530 * * [simplify]: iters left: 5 (91 enodes) 72.548 * * [simplify]: iters left: 4 (193 enodes) 72.604 * * [simplify]: Extracting #0: cost 1 inf + 0 72.604 * * [simplify]: Extracting #1: cost 34 inf + 0 72.605 * * [simplify]: Extracting #2: cost 123 inf + 1 72.605 * * [simplify]: Extracting #3: cost 151 inf + 149 72.606 * * [simplify]: Extracting #4: cost 144 inf + 1026 72.608 * * [simplify]: Extracting #5: cost 96 inf + 7884 72.614 * * [simplify]: Extracting #6: cost 23 inf + 33450 72.631 * * [simplify]: Extracting #7: cost 0 inf + 42836 72.648 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 72.648 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 72.649 * * * * [progress]: [ 159 / 414 ] simplifiying candidate # 72.649 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 72.649 * * [simplify]: iters left: 6 (20 enodes) 72.661 * * [simplify]: iters left: 5 (91 enodes) 72.698 * * [simplify]: iters left: 4 (193 enodes) 72.782 * * [simplify]: Extracting #0: cost 1 inf + 0 72.783 * * [simplify]: Extracting #1: cost 34 inf + 0 72.783 * * [simplify]: Extracting #2: cost 123 inf + 1 72.784 * * [simplify]: Extracting #3: cost 151 inf + 149 72.785 * * [simplify]: Extracting #4: cost 144 inf + 1026 72.788 * * [simplify]: Extracting #5: cost 96 inf + 7884 72.803 * * [simplify]: Extracting #6: cost 23 inf + 33450 72.821 * * [simplify]: Extracting #7: cost 0 inf + 42836 72.831 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 72.831 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 72.832 * * * * [progress]: [ 160 / 414 ] simplifiying candidate # 72.832 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 72.832 * * [simplify]: iters left: 6 (20 enodes) 72.838 * * [simplify]: iters left: 5 (92 enodes) 72.855 * * [simplify]: iters left: 4 (195 enodes) 72.912 * * [simplify]: Extracting #0: cost 1 inf + 0 72.912 * * [simplify]: Extracting #1: cost 37 inf + 0 72.913 * * [simplify]: Extracting #2: cost 135 inf + 1 72.913 * * [simplify]: Extracting #3: cost 175 inf + 77 72.914 * * [simplify]: Extracting #4: cost 167 inf + 974 72.916 * * [simplify]: Extracting #5: cost 107 inf + 15773 72.925 * * [simplify]: Extracting #6: cost 18 inf + 45825 72.935 * * [simplify]: Extracting #7: cost 0 inf + 51878 72.945 * * [simplify]: Extracting #8: cost 0 inf + 51672 72.958 * [simplify]: Simplified to (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 72.958 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 72.958 * * * * [progress]: [ 161 / 414 ] simplifiying candidate # 72.958 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 72.959 * * [simplify]: iters left: 6 (22 enodes) 72.971 * * [simplify]: iters left: 5 (100 enodes) 73.012 * * [simplify]: iters left: 4 (227 enodes) 73.127 * * [simplify]: Extracting #0: cost 1 inf + 0 73.127 * * [simplify]: Extracting #1: cost 28 inf + 0 73.128 * * [simplify]: Extracting #2: cost 121 inf + 1 73.129 * * [simplify]: Extracting #3: cost 169 inf + 78 73.130 * * [simplify]: Extracting #4: cost 158 inf + 1667 73.134 * * [simplify]: Extracting #5: cost 106 inf + 11104 73.148 * * [simplify]: Extracting #6: cost 25 inf + 38090 73.165 * * [simplify]: Extracting #7: cost 0 inf + 48755 73.184 * * [simplify]: Extracting #8: cost 0 inf + 48715 73.201 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))) 73.201 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))))) 73.202 * * * * [progress]: [ 162 / 414 ] simplifiying candidate # 73.202 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 73.202 * * [simplify]: iters left: 6 (22 enodes) 73.216 * * [simplify]: iters left: 5 (100 enodes) 73.250 * * [simplify]: iters left: 4 (227 enodes) 73.317 * * [simplify]: Extracting #0: cost 1 inf + 0 73.317 * * [simplify]: Extracting #1: cost 28 inf + 0 73.317 * * [simplify]: Extracting #2: cost 121 inf + 1 73.318 * * [simplify]: Extracting #3: cost 169 inf + 78 73.319 * * [simplify]: Extracting #4: cost 158 inf + 1667 73.321 * * [simplify]: Extracting #5: cost 106 inf + 11104 73.334 * * [simplify]: Extracting #6: cost 25 inf + 38090 73.356 * * [simplify]: Extracting #7: cost 0 inf + 48755 73.375 * * [simplify]: Extracting #8: cost 0 inf + 48715 73.394 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))) 73.394 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))))) 73.394 * * * * [progress]: [ 163 / 414 ] simplifiying candidate # 73.394 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 73.395 * * [simplify]: iters left: 6 (22 enodes) 73.408 * * [simplify]: iters left: 5 (101 enodes) 73.447 * * [simplify]: iters left: 4 (228 enodes) 73.570 * * [simplify]: Extracting #0: cost 1 inf + 0 73.570 * * [simplify]: Extracting #1: cost 31 inf + 0 73.571 * * [simplify]: Extracting #2: cost 133 inf + 1 73.572 * * [simplify]: Extracting #3: cost 188 inf + 77 73.576 * * [simplify]: Extracting #4: cost 143 inf + 9415 73.587 * * [simplify]: Extracting #5: cost 51 inf + 33670 73.603 * * [simplify]: Extracting #6: cost 2 inf + 54317 73.614 * * [simplify]: Extracting #7: cost 0 inf + 55067 73.626 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 73.626 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 73.626 * * * * [progress]: [ 164 / 414 ] simplifiying candidate # 73.627 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 73.627 * * [simplify]: iters left: 6 (24 enodes) 73.635 * * [simplify]: iters left: 5 (97 enodes) 73.658 * * [simplify]: iters left: 4 (192 enodes) 73.731 * * [simplify]: Extracting #0: cost 1 inf + 0 73.731 * * [simplify]: Extracting #1: cost 36 inf + 0 73.732 * * [simplify]: Extracting #2: cost 131 inf + 1 73.733 * * [simplify]: Extracting #3: cost 161 inf + 7 73.734 * * [simplify]: Extracting #4: cost 148 inf + 1555 73.740 * * [simplify]: Extracting #5: cost 81 inf + 15156 73.754 * * [simplify]: Extracting #6: cost 19 inf + 37136 73.773 * * [simplify]: Extracting #7: cost 0 inf + 47527 73.786 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 73.786 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 73.786 * * * * [progress]: [ 165 / 414 ] simplifiying candidate # 73.787 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 73.787 * * [simplify]: iters left: 6 (24 enodes) 73.794 * * [simplify]: iters left: 5 (97 enodes) 73.816 * * [simplify]: iters left: 4 (192 enodes) 73.913 * * [simplify]: Extracting #0: cost 1 inf + 0 73.913 * * [simplify]: Extracting #1: cost 36 inf + 0 73.914 * * [simplify]: Extracting #2: cost 131 inf + 1 73.915 * * [simplify]: Extracting #3: cost 161 inf + 7 73.917 * * [simplify]: Extracting #4: cost 148 inf + 1555 73.923 * * [simplify]: Extracting #5: cost 81 inf + 15156 73.937 * * [simplify]: Extracting #6: cost 19 inf + 37136 73.956 * * [simplify]: Extracting #7: cost 0 inf + 47527 73.966 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 73.966 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 73.966 * * * * [progress]: [ 166 / 414 ] simplifiying candidate # 73.966 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 73.966 * * [simplify]: iters left: 6 (24 enodes) 73.976 * * [simplify]: iters left: 5 (98 enodes) 73.993 * * [simplify]: iters left: 4 (194 enodes) 74.044 * * [simplify]: Extracting #0: cost 1 inf + 0 74.044 * * [simplify]: Extracting #1: cost 39 inf + 0 74.044 * * [simplify]: Extracting #2: cost 142 inf + 1 74.045 * * [simplify]: Extracting #3: cost 182 inf + 77 74.046 * * [simplify]: Extracting #4: cost 143 inf + 7606 74.053 * * [simplify]: Extracting #5: cost 35 inf + 43667 74.064 * * [simplify]: Extracting #6: cost 1 inf + 56256 74.084 * * [simplify]: Extracting #7: cost 0 inf + 55560 74.106 * * [simplify]: Extracting #8: cost 0 inf + 55358 74.128 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))) 74.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k))))))) 74.128 * * * * [progress]: [ 167 / 414 ] simplifiying candidate # 74.129 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 74.129 * * [simplify]: iters left: 6 (20 enodes) 74.140 * * [simplify]: iters left: 5 (91 enodes) 74.175 * * [simplify]: iters left: 4 (193 enodes) 74.241 * * [simplify]: Extracting #0: cost 1 inf + 0 74.241 * * [simplify]: Extracting #1: cost 34 inf + 0 74.241 * * [simplify]: Extracting #2: cost 123 inf + 1 74.242 * * [simplify]: Extracting #3: cost 151 inf + 149 74.242 * * [simplify]: Extracting #4: cost 144 inf + 1026 74.244 * * [simplify]: Extracting #5: cost 96 inf + 7884 74.255 * * [simplify]: Extracting #6: cost 23 inf + 33450 74.267 * * [simplify]: Extracting #7: cost 0 inf + 42836 74.285 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 74.285 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 74.285 * * * * [progress]: [ 168 / 414 ] simplifiying candidate # 74.285 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 74.286 * * [simplify]: iters left: 6 (20 enodes) 74.298 * * [simplify]: iters left: 5 (91 enodes) 74.319 * * [simplify]: iters left: 4 (193 enodes) 74.375 * * [simplify]: Extracting #0: cost 1 inf + 0 74.375 * * [simplify]: Extracting #1: cost 34 inf + 0 74.376 * * [simplify]: Extracting #2: cost 123 inf + 1 74.376 * * [simplify]: Extracting #3: cost 151 inf + 149 74.377 * * [simplify]: Extracting #4: cost 144 inf + 1026 74.378 * * [simplify]: Extracting #5: cost 96 inf + 7884 74.389 * * [simplify]: Extracting #6: cost 23 inf + 33450 74.407 * * [simplify]: Extracting #7: cost 0 inf + 42836 74.425 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 74.425 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 74.425 * * * * [progress]: [ 169 / 414 ] simplifiying candidate # 74.425 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 74.425 * * [simplify]: iters left: 6 (20 enodes) 74.431 * * [simplify]: iters left: 5 (92 enodes) 74.454 * * [simplify]: iters left: 4 (195 enodes) 74.522 * * [simplify]: Extracting #0: cost 1 inf + 0 74.522 * * [simplify]: Extracting #1: cost 37 inf + 0 74.522 * * [simplify]: Extracting #2: cost 135 inf + 1 74.523 * * [simplify]: Extracting #3: cost 175 inf + 77 74.523 * * [simplify]: Extracting #4: cost 167 inf + 974 74.528 * * [simplify]: Extracting #5: cost 107 inf + 15773 74.540 * * [simplify]: Extracting #6: cost 18 inf + 45825 74.550 * * [simplify]: Extracting #7: cost 0 inf + 51878 74.560 * * [simplify]: Extracting #8: cost 0 inf + 51672 74.575 * [simplify]: Simplified to (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 74.575 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 74.575 * * * * [progress]: [ 170 / 414 ] simplifiying candidate # 74.576 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 74.576 * * [simplify]: iters left: 6 (20 enodes) 74.591 * * [simplify]: iters left: 5 (91 enodes) 74.620 * * [simplify]: iters left: 4 (193 enodes) 74.680 * * [simplify]: Extracting #0: cost 1 inf + 0 74.680 * * [simplify]: Extracting #1: cost 34 inf + 0 74.681 * * [simplify]: Extracting #2: cost 123 inf + 1 74.682 * * [simplify]: Extracting #3: cost 151 inf + 149 74.683 * * [simplify]: Extracting #4: cost 144 inf + 1026 74.688 * * [simplify]: Extracting #5: cost 96 inf + 7884 74.700 * * [simplify]: Extracting #6: cost 23 inf + 33450 74.718 * * [simplify]: Extracting #7: cost 0 inf + 42836 74.732 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 74.732 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 74.732 * * * * [progress]: [ 171 / 414 ] simplifiying candidate # 74.732 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 74.732 * * [simplify]: iters left: 6 (20 enodes) 74.738 * * [simplify]: iters left: 5 (91 enodes) 74.761 * * [simplify]: iters left: 4 (193 enodes) 74.850 * * [simplify]: Extracting #0: cost 1 inf + 0 74.850 * * [simplify]: Extracting #1: cost 34 inf + 0 74.851 * * [simplify]: Extracting #2: cost 123 inf + 1 74.852 * * [simplify]: Extracting #3: cost 151 inf + 149 74.853 * * [simplify]: Extracting #4: cost 144 inf + 1026 74.857 * * [simplify]: Extracting #5: cost 96 inf + 7884 74.868 * * [simplify]: Extracting #6: cost 23 inf + 33450 74.877 * * [simplify]: Extracting #7: cost 0 inf + 42836 74.887 * [simplify]: Simplified to (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))) 74.887 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log n) (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 74.887 * * * * [progress]: [ 172 / 414 ] simplifiying candidate # 74.887 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 74.887 * * [simplify]: iters left: 6 (20 enodes) 74.894 * * [simplify]: iters left: 5 (92 enodes) 74.925 * * [simplify]: iters left: 4 (195 enodes) 75.000 * * [simplify]: Extracting #0: cost 1 inf + 0 75.000 * * [simplify]: Extracting #1: cost 37 inf + 0 75.001 * * [simplify]: Extracting #2: cost 135 inf + 1 75.001 * * [simplify]: Extracting #3: cost 175 inf + 77 75.002 * * [simplify]: Extracting #4: cost 167 inf + 974 75.005 * * [simplify]: Extracting #5: cost 107 inf + 15773 75.014 * * [simplify]: Extracting #6: cost 18 inf + 45825 75.028 * * [simplify]: Extracting #7: cost 0 inf + 51878 75.041 * * [simplify]: Extracting #8: cost 0 inf + 51672 75.051 * [simplify]: Simplified to (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))) 75.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (fma (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI))) (- (log (sqrt k)))) (* (/ (- 1 k) 4) (log n))) (* (/ (- 1 k) 4) (log n))))) 75.051 * * * * [progress]: [ 173 / 414 ] simplifiying candidate # 75.051 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 75.051 * * [simplify]: iters left: 6 (22 enodes) 75.059 * * [simplify]: iters left: 5 (100 enodes) 75.095 * * [simplify]: iters left: 4 (227 enodes) 75.162 * * [simplify]: Extracting #0: cost 1 inf + 0 75.162 * * [simplify]: Extracting #1: cost 28 inf + 0 75.162 * * [simplify]: Extracting #2: cost 121 inf + 1 75.163 * * [simplify]: Extracting #3: cost 169 inf + 78 75.164 * * [simplify]: Extracting #4: cost 158 inf + 1667 75.165 * * [simplify]: Extracting #5: cost 106 inf + 11104 75.175 * * [simplify]: Extracting #6: cost 25 inf + 38090 75.194 * * [simplify]: Extracting #7: cost 0 inf + 48755 75.212 * * [simplify]: Extracting #8: cost 0 inf + 48715 75.231 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))) 75.231 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))))) 75.231 * * * * [progress]: [ 174 / 414 ] simplifiying candidate # 75.231 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 75.232 * * [simplify]: iters left: 6 (22 enodes) 75.247 * * [simplify]: iters left: 5 (100 enodes) 75.265 * * [simplify]: iters left: 4 (227 enodes) 75.343 * * [simplify]: Extracting #0: cost 1 inf + 0 75.343 * * [simplify]: Extracting #1: cost 28 inf + 0 75.343 * * [simplify]: Extracting #2: cost 121 inf + 1 75.344 * * [simplify]: Extracting #3: cost 169 inf + 78 75.346 * * [simplify]: Extracting #4: cost 158 inf + 1667 75.350 * * [simplify]: Extracting #5: cost 106 inf + 11104 75.363 * * [simplify]: Extracting #6: cost 25 inf + 38090 75.381 * * [simplify]: Extracting #7: cost 0 inf + 48755 75.399 * * [simplify]: Extracting #8: cost 0 inf + 48715 75.416 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))) 75.417 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (- 1/4 (/ k 4)) (log (* 2 PI))) (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))))))) 75.417 * * * * [progress]: [ 175 / 414 ] simplifiying candidate # 75.417 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 75.417 * * [simplify]: iters left: 6 (22 enodes) 75.431 * * [simplify]: iters left: 5 (101 enodes) 75.469 * * [simplify]: iters left: 4 (228 enodes) 75.585 * * [simplify]: Extracting #0: cost 1 inf + 0 75.585 * * [simplify]: Extracting #1: cost 31 inf + 0 75.585 * * [simplify]: Extracting #2: cost 133 inf + 1 75.587 * * [simplify]: Extracting #3: cost 188 inf + 77 75.590 * * [simplify]: Extracting #4: cost 143 inf + 9415 75.603 * * [simplify]: Extracting #5: cost 51 inf + 33670 75.613 * * [simplify]: Extracting #6: cost 2 inf + 54317 75.622 * * [simplify]: Extracting #7: cost 0 inf + 55067 75.632 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 75.633 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 75.633 * * * * [progress]: [ 176 / 414 ] simplifiying candidate # 75.633 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 75.633 * * [simplify]: iters left: 6 (24 enodes) 75.642 * * [simplify]: iters left: 5 (106 enodes) 75.680 * * [simplify]: iters left: 4 (225 enodes) 75.757 * * [simplify]: Extracting #0: cost 1 inf + 0 75.757 * * [simplify]: Extracting #1: cost 30 inf + 0 75.757 * * [simplify]: Extracting #2: cost 133 inf + 1 75.758 * * [simplify]: Extracting #3: cost 175 inf + 7 75.759 * * [simplify]: Extracting #4: cost 165 inf + 1345 75.760 * * [simplify]: Extracting #5: cost 120 inf + 9468 75.767 * * [simplify]: Extracting #6: cost 27 inf + 38895 75.787 * * [simplify]: Extracting #7: cost 0 inf + 52690 75.798 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 75.798 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 75.798 * * * * [progress]: [ 177 / 414 ] simplifiying candidate # 75.798 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 75.798 * * [simplify]: iters left: 6 (24 enodes) 75.805 * * [simplify]: iters left: 5 (106 enodes) 75.831 * * [simplify]: iters left: 4 (225 enodes) 75.927 * * [simplify]: Extracting #0: cost 1 inf + 0 75.927 * * [simplify]: Extracting #1: cost 30 inf + 0 75.928 * * [simplify]: Extracting #2: cost 133 inf + 1 75.929 * * [simplify]: Extracting #3: cost 175 inf + 7 75.931 * * [simplify]: Extracting #4: cost 165 inf + 1345 75.935 * * [simplify]: Extracting #5: cost 120 inf + 9468 75.948 * * [simplify]: Extracting #6: cost 27 inf + 38895 75.968 * * [simplify]: Extracting #7: cost 0 inf + 52690 75.992 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 75.992 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 75.992 * * * * [progress]: [ 178 / 414 ] simplifiying candidate # 75.993 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 75.993 * * [simplify]: iters left: 6 (24 enodes) 76.007 * * [simplify]: iters left: 5 (107 enodes) 76.048 * * [simplify]: iters left: 4 (226 enodes) 76.140 * * [simplify]: Extracting #0: cost 1 inf + 0 76.140 * * [simplify]: Extracting #1: cost 33 inf + 0 76.140 * * [simplify]: Extracting #2: cost 145 inf + 1 76.141 * * [simplify]: Extracting #3: cost 193 inf + 77 76.142 * * [simplify]: Extracting #4: cost 158 inf + 6048 76.148 * * [simplify]: Extracting #5: cost 51 inf + 37638 76.159 * * [simplify]: Extracting #6: cost 1 inf + 59414 76.176 * * [simplify]: Extracting #7: cost 0 inf + 59779 76.188 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))) 76.189 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))))) 76.189 * * * * [progress]: [ 179 / 414 ] simplifiying candidate # 76.189 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 76.189 * * [simplify]: iters left: 6 (22 enodes) 76.198 * * [simplify]: iters left: 5 (100 enodes) 76.220 * * [simplify]: iters left: 4 (225 enodes) 76.328 * * [simplify]: Extracting #0: cost 1 inf + 0 76.328 * * [simplify]: Extracting #1: cost 28 inf + 0 76.329 * * [simplify]: Extracting #2: cost 121 inf + 1 76.330 * * [simplify]: Extracting #3: cost 169 inf + 78 76.331 * * [simplify]: Extracting #4: cost 160 inf + 1226 76.337 * * [simplify]: Extracting #5: cost 90 inf + 21745 76.353 * * [simplify]: Extracting #6: cost 14 inf + 42246 76.371 * * [simplify]: Extracting #7: cost 1 inf + 47254 76.389 * * [simplify]: Extracting #8: cost 0 inf + 47845 76.407 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 76.408 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 76.408 * * * * [progress]: [ 180 / 414 ] simplifiying candidate # 76.408 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 76.408 * * [simplify]: iters left: 6 (22 enodes) 76.421 * * [simplify]: iters left: 5 (100 enodes) 76.457 * * [simplify]: iters left: 4 (225 enodes) 76.541 * * [simplify]: Extracting #0: cost 1 inf + 0 76.541 * * [simplify]: Extracting #1: cost 28 inf + 0 76.542 * * [simplify]: Extracting #2: cost 121 inf + 1 76.543 * * [simplify]: Extracting #3: cost 169 inf + 78 76.544 * * [simplify]: Extracting #4: cost 160 inf + 1226 76.550 * * [simplify]: Extracting #5: cost 90 inf + 21745 76.566 * * [simplify]: Extracting #6: cost 14 inf + 42246 76.587 * * [simplify]: Extracting #7: cost 1 inf + 47254 76.606 * * [simplify]: Extracting #8: cost 0 inf + 47845 76.624 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 76.624 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 76.624 * * * * [progress]: [ 181 / 414 ] simplifiying candidate # 76.625 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 76.625 * * [simplify]: iters left: 6 (22 enodes) 76.638 * * [simplify]: iters left: 5 (101 enodes) 76.664 * * [simplify]: iters left: 4 (226 enodes) 76.724 * * [simplify]: Extracting #0: cost 1 inf + 0 76.724 * * [simplify]: Extracting #1: cost 31 inf + 0 76.724 * * [simplify]: Extracting #2: cost 133 inf + 1 76.725 * * [simplify]: Extracting #3: cost 187 inf + 148 76.726 * * [simplify]: Extracting #4: cost 174 inf + 1697 76.728 * * [simplify]: Extracting #5: cost 122 inf + 11802 76.734 * * [simplify]: Extracting #6: cost 41 inf + 37821 76.744 * * [simplify]: Extracting #7: cost 0 inf + 56478 76.764 * * [simplify]: Extracting #8: cost 0 inf + 56319 76.776 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))) (log (* 2 PI))) (log (sqrt k))))) 76.776 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))) (log (* 2 PI))) (log (sqrt k))))))) 76.777 * * * * [progress]: [ 182 / 414 ] simplifiying candidate # 76.777 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 76.777 * * [simplify]: iters left: 6 (22 enodes) 76.784 * * [simplify]: iters left: 5 (100 enodes) 76.802 * * [simplify]: iters left: 4 (225 enodes) 76.859 * * [simplify]: Extracting #0: cost 1 inf + 0 76.859 * * [simplify]: Extracting #1: cost 28 inf + 0 76.859 * * [simplify]: Extracting #2: cost 121 inf + 1 76.860 * * [simplify]: Extracting #3: cost 169 inf + 78 76.861 * * [simplify]: Extracting #4: cost 160 inf + 1226 76.863 * * [simplify]: Extracting #5: cost 90 inf + 21745 76.878 * * [simplify]: Extracting #6: cost 14 inf + 42246 76.894 * * [simplify]: Extracting #7: cost 1 inf + 47254 76.903 * * [simplify]: Extracting #8: cost 0 inf + 47845 76.912 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 76.912 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 76.913 * * * * [progress]: [ 183 / 414 ] simplifiying candidate # 76.913 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 76.913 * * [simplify]: iters left: 6 (22 enodes) 76.920 * * [simplify]: iters left: 5 (100 enodes) 76.961 * * [simplify]: iters left: 4 (225 enodes) 77.042 * * [simplify]: Extracting #0: cost 1 inf + 0 77.042 * * [simplify]: Extracting #1: cost 28 inf + 0 77.043 * * [simplify]: Extracting #2: cost 121 inf + 1 77.044 * * [simplify]: Extracting #3: cost 169 inf + 78 77.045 * * [simplify]: Extracting #4: cost 160 inf + 1226 77.050 * * [simplify]: Extracting #5: cost 90 inf + 21745 77.069 * * [simplify]: Extracting #6: cost 14 inf + 42246 77.088 * * [simplify]: Extracting #7: cost 1 inf + 47254 77.106 * * [simplify]: Extracting #8: cost 0 inf + 47845 77.124 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 77.124 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 77.124 * * * * [progress]: [ 184 / 414 ] simplifiying candidate # 77.124 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 77.125 * * [simplify]: iters left: 6 (22 enodes) 77.138 * * [simplify]: iters left: 5 (101 enodes) 77.175 * * [simplify]: iters left: 4 (226 enodes) 77.251 * * [simplify]: Extracting #0: cost 1 inf + 0 77.251 * * [simplify]: Extracting #1: cost 31 inf + 0 77.252 * * [simplify]: Extracting #2: cost 133 inf + 1 77.252 * * [simplify]: Extracting #3: cost 187 inf + 148 77.253 * * [simplify]: Extracting #4: cost 174 inf + 1697 77.255 * * [simplify]: Extracting #5: cost 122 inf + 11802 77.261 * * [simplify]: Extracting #6: cost 41 inf + 37821 77.271 * * [simplify]: Extracting #7: cost 0 inf + 56478 77.288 * * [simplify]: Extracting #8: cost 0 inf + 56319 77.302 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))) (log (* 2 PI))) (log (sqrt k))))) 77.302 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (- (* (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4))) (log (* 2 PI))) (log (sqrt k))))))) 77.303 * * * * [progress]: [ 185 / 414 ] simplifiying candidate # 77.303 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 77.303 * * [simplify]: iters left: 6 (20 enodes) 77.309 * * [simplify]: iters left: 5 (90 enodes) 77.325 * * [simplify]: iters left: 4 (192 enodes) 77.373 * * [simplify]: Extracting #0: cost 1 inf + 0 77.373 * * [simplify]: Extracting #1: cost 33 inf + 0 77.373 * * [simplify]: Extracting #2: cost 122 inf + 1 77.374 * * [simplify]: Extracting #3: cost 171 inf + 7 77.374 * * [simplify]: Extracting #4: cost 163 inf + 959 77.377 * * [simplify]: Extracting #5: cost 94 inf + 19896 77.384 * * [simplify]: Extracting #6: cost 15 inf + 46742 77.393 * * [simplify]: Extracting #7: cost 0 inf + 49391 77.408 * * [simplify]: Extracting #8: cost 0 inf + 48768 77.421 * * [simplify]: Extracting #9: cost 0 inf + 48753 77.430 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 77.430 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 77.430 * * * * [progress]: [ 186 / 414 ] simplifiying candidate # 77.430 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 77.430 * * [simplify]: iters left: 6 (20 enodes) 77.436 * * [simplify]: iters left: 5 (90 enodes) 77.467 * * [simplify]: iters left: 4 (192 enodes) 77.548 * * [simplify]: Extracting #0: cost 1 inf + 0 77.549 * * [simplify]: Extracting #1: cost 33 inf + 0 77.549 * * [simplify]: Extracting #2: cost 122 inf + 1 77.550 * * [simplify]: Extracting #3: cost 171 inf + 7 77.551 * * [simplify]: Extracting #4: cost 163 inf + 959 77.556 * * [simplify]: Extracting #5: cost 94 inf + 19896 77.572 * * [simplify]: Extracting #6: cost 15 inf + 46742 77.589 * * [simplify]: Extracting #7: cost 0 inf + 49391 77.611 * * [simplify]: Extracting #8: cost 0 inf + 48768 77.628 * * [simplify]: Extracting #9: cost 0 inf + 48753 77.646 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 77.646 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 77.646 * * * * [progress]: [ 187 / 414 ] simplifiying candidate # 77.646 * [simplify]: Simplifying (+ (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 77.647 * * [simplify]: iters left: 6 (20 enodes) 77.658 * * [simplify]: iters left: 5 (91 enodes) 77.692 * * [simplify]: iters left: 4 (190 enodes) 77.750 * * [simplify]: Extracting #0: cost 1 inf + 0 77.750 * * [simplify]: Extracting #1: cost 36 inf + 0 77.751 * * [simplify]: Extracting #2: cost 134 inf + 1 77.752 * * [simplify]: Extracting #3: cost 185 inf + 189 77.754 * * [simplify]: Extracting #4: cost 158 inf + 4158 77.763 * * [simplify]: Extracting #5: cost 60 inf + 32932 77.782 * * [simplify]: Extracting #6: cost 4 inf + 53104 77.800 * * [simplify]: Extracting #7: cost 0 inf + 54779 77.819 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))) 77.819 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))))) 77.820 * * * * [progress]: [ 188 / 414 ] simplifiying candidate # 77.820 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 77.820 * * [simplify]: iters left: 6 (21 enodes) 77.831 * * [simplify]: iters left: 5 (92 enodes) 77.851 * * [simplify]: iters left: 4 (183 enodes) 77.929 * * [simplify]: Extracting #0: cost 1 inf + 0 77.930 * * [simplify]: Extracting #1: cost 38 inf + 0 77.930 * * [simplify]: Extracting #2: cost 130 inf + 1 77.930 * * [simplify]: Extracting #3: cost 156 inf + 261 77.931 * * [simplify]: Extracting #4: cost 151 inf + 834 77.933 * * [simplify]: Extracting #5: cost 104 inf + 11557 77.940 * * [simplify]: Extracting #6: cost 23 inf + 42586 77.959 * * [simplify]: Extracting #7: cost 2 inf + 53262 77.980 * * [simplify]: Extracting #8: cost 0 inf + 54323 78.000 * [simplify]: Simplified to (- (fma (- 1/2 (/ k 2)) (log n) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2)) (- (log (sqrt k)) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2))) 78.000 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log n) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2)) (- (log (sqrt k)) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2))))) 78.001 * * * * [progress]: [ 189 / 414 ] simplifiying candidate # 78.001 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.001 * * [simplify]: iters left: 6 (21 enodes) 78.013 * * [simplify]: iters left: 5 (92 enodes) 78.035 * * [simplify]: iters left: 4 (183 enodes) 78.085 * * [simplify]: Extracting #0: cost 1 inf + 0 78.085 * * [simplify]: Extracting #1: cost 38 inf + 0 78.086 * * [simplify]: Extracting #2: cost 130 inf + 1 78.086 * * [simplify]: Extracting #3: cost 156 inf + 261 78.087 * * [simplify]: Extracting #4: cost 151 inf + 834 78.089 * * [simplify]: Extracting #5: cost 104 inf + 11557 78.100 * * [simplify]: Extracting #6: cost 23 inf + 42586 78.120 * * [simplify]: Extracting #7: cost 2 inf + 53262 78.141 * * [simplify]: Extracting #8: cost 0 inf + 54323 78.161 * [simplify]: Simplified to (- (fma (- 1/2 (/ k 2)) (log n) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2)) (- (log (sqrt k)) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2))) 78.162 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log n) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2)) (- (log (sqrt k)) (/ (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log 2))) 2))))) 78.162 * * * * [progress]: [ 190 / 414 ] simplifiying candidate # 78.162 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 78.162 * * [simplify]: iters left: 6 (21 enodes) 78.179 * * [simplify]: iters left: 5 (93 enodes) 78.211 * * [simplify]: iters left: 4 (185 enodes) 78.264 * * [simplify]: Extracting #0: cost 1 inf + 0 78.264 * * [simplify]: Extracting #1: cost 41 inf + 0 78.265 * * [simplify]: Extracting #2: cost 142 inf + 1 78.265 * * [simplify]: Extracting #3: cost 179 inf + 260 78.266 * * [simplify]: Extracting #4: cost 147 inf + 5535 78.272 * * [simplify]: Extracting #5: cost 64 inf + 35940 78.289 * * [simplify]: Extracting #6: cost 1 inf + 62046 78.299 * * [simplify]: Extracting #7: cost 0 inf + 61845 78.309 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))))) 78.309 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))))))) 78.310 * * * * [progress]: [ 191 / 414 ] simplifiying candidate # 78.310 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.310 * * [simplify]: iters left: 6 (24 enodes) 78.317 * * [simplify]: iters left: 5 (98 enodes) 78.334 * * [simplify]: iters left: 4 (192 enodes) 78.390 * * [simplify]: Extracting #0: cost 1 inf + 0 78.390 * * [simplify]: Extracting #1: cost 38 inf + 0 78.391 * * [simplify]: Extracting #2: cost 131 inf + 1 78.392 * * [simplify]: Extracting #3: cost 160 inf + 78 78.393 * * [simplify]: Extracting #4: cost 157 inf + 596 78.398 * * [simplify]: Extracting #5: cost 84 inf + 14858 78.413 * * [simplify]: Extracting #6: cost 17 inf + 44669 78.437 * * [simplify]: Extracting #7: cost 0 inf + 50990 78.452 * * [simplify]: Extracting #8: cost 0 inf + 49370 78.462 * [simplify]: Simplified to (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 78.462 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 78.462 * * * * [progress]: [ 192 / 414 ] simplifiying candidate # 78.462 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.462 * * [simplify]: iters left: 6 (24 enodes) 78.469 * * [simplify]: iters left: 5 (98 enodes) 78.491 * * [simplify]: iters left: 4 (192 enodes) 78.591 * * [simplify]: Extracting #0: cost 1 inf + 0 78.591 * * [simplify]: Extracting #1: cost 38 inf + 0 78.592 * * [simplify]: Extracting #2: cost 131 inf + 1 78.592 * * [simplify]: Extracting #3: cost 160 inf + 78 78.593 * * [simplify]: Extracting #4: cost 157 inf + 596 78.596 * * [simplify]: Extracting #5: cost 84 inf + 14858 78.603 * * [simplify]: Extracting #6: cost 17 inf + 44669 78.619 * * [simplify]: Extracting #7: cost 0 inf + 50990 78.632 * * [simplify]: Extracting #8: cost 0 inf + 49370 78.641 * [simplify]: Simplified to (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 78.641 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 78.642 * * * * [progress]: [ 193 / 414 ] simplifiying candidate # 78.642 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 78.642 * * [simplify]: iters left: 6 (24 enodes) 78.652 * * [simplify]: iters left: 5 (99 enodes) 78.686 * * [simplify]: iters left: 4 (194 enodes) 78.753 * * [simplify]: Extracting #0: cost 1 inf + 0 78.753 * * [simplify]: Extracting #1: cost 41 inf + 0 78.754 * * [simplify]: Extracting #2: cost 143 inf + 1 78.755 * * [simplify]: Extracting #3: cost 182 inf + 148 78.757 * * [simplify]: Extracting #4: cost 153 inf + 4844 78.765 * * [simplify]: Extracting #5: cost 56 inf + 36819 78.784 * * [simplify]: Extracting #6: cost 1 inf + 60154 78.806 * * [simplify]: Extracting #7: cost 0 inf + 57791 78.824 * * [simplify]: Extracting #8: cost 0 inf + 57750 78.835 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (/ (* (- 1 k) (log (* 2 PI))) 4))) 78.835 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 78.835 * * * * [progress]: [ 194 / 414 ] simplifiying candidate # 78.835 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 78.836 * * [simplify]: iters left: 6 (24 enodes) 78.845 * * [simplify]: iters left: 5 (98 enodes) 78.883 * * [simplify]: iters left: 4 (192 enodes) 78.939 * * [simplify]: Extracting #0: cost 1 inf + 0 78.939 * * [simplify]: Extracting #1: cost 38 inf + 0 78.940 * * [simplify]: Extracting #2: cost 131 inf + 1 78.941 * * [simplify]: Extracting #3: cost 160 inf + 78 78.942 * * [simplify]: Extracting #4: cost 157 inf + 596 78.947 * * [simplify]: Extracting #5: cost 84 inf + 14858 78.968 * * [simplify]: Extracting #6: cost 17 inf + 44669 78.988 * * [simplify]: Extracting #7: cost 0 inf + 50990 79.000 * * [simplify]: Extracting #8: cost 0 inf + 49370 79.010 * [simplify]: Simplified to (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 79.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 79.010 * * * * [progress]: [ 195 / 414 ] simplifiying candidate # 79.010 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 79.010 * * [simplify]: iters left: 6 (24 enodes) 79.018 * * [simplify]: iters left: 5 (98 enodes) 79.051 * * [simplify]: iters left: 4 (192 enodes) 79.138 * * [simplify]: Extracting #0: cost 1 inf + 0 79.138 * * [simplify]: Extracting #1: cost 38 inf + 0 79.139 * * [simplify]: Extracting #2: cost 131 inf + 1 79.140 * * [simplify]: Extracting #3: cost 160 inf + 78 79.141 * * [simplify]: Extracting #4: cost 157 inf + 596 79.146 * * [simplify]: Extracting #5: cost 84 inf + 14858 79.162 * * [simplify]: Extracting #6: cost 17 inf + 44669 79.182 * * [simplify]: Extracting #7: cost 0 inf + 50990 79.202 * * [simplify]: Extracting #8: cost 0 inf + 49370 79.225 * [simplify]: Simplified to (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))) 79.225 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (/ (log n) (/ 2 (- 1 k)))) (- (log (sqrt k)) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 79.225 * * * * [progress]: [ 196 / 414 ] simplifiying candidate # 79.226 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 79.226 * * [simplify]: iters left: 6 (24 enodes) 79.240 * * [simplify]: iters left: 5 (99 enodes) 79.262 * * [simplify]: iters left: 4 (194 enodes) 79.335 * * [simplify]: Extracting #0: cost 1 inf + 0 79.335 * * [simplify]: Extracting #1: cost 41 inf + 0 79.336 * * [simplify]: Extracting #2: cost 143 inf + 1 79.336 * * [simplify]: Extracting #3: cost 182 inf + 148 79.338 * * [simplify]: Extracting #4: cost 153 inf + 4844 79.344 * * [simplify]: Extracting #5: cost 56 inf + 36819 79.354 * * [simplify]: Extracting #6: cost 1 inf + 60154 79.365 * * [simplify]: Extracting #7: cost 0 inf + 57791 79.384 * * [simplify]: Extracting #8: cost 0 inf + 57750 79.406 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (/ (* (- 1 k) (log (* 2 PI))) 4))) 79.406 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k))) (/ (* (- 1 k) (log (* 2 PI))) 4))))) 79.406 * * * * [progress]: [ 197 / 414 ] simplifiying candidate # 79.406 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 79.407 * * [simplify]: iters left: 6 (24 enodes) 79.424 * * [simplify]: iters left: 5 (107 enodes) 79.446 * * [simplify]: iters left: 4 (218 enodes) 79.529 * * [simplify]: Extracting #0: cost 1 inf + 0 79.529 * * [simplify]: Extracting #1: cost 29 inf + 0 79.530 * * [simplify]: Extracting #2: cost 124 inf + 1 79.531 * * [simplify]: Extracting #3: cost 166 inf + 7 79.532 * * [simplify]: Extracting #4: cost 160 inf + 945 79.538 * * [simplify]: Extracting #5: cost 73 inf + 19876 79.554 * * [simplify]: Extracting #6: cost 13 inf + 43588 79.573 * * [simplify]: Extracting #7: cost 0 inf + 49473 79.591 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 79.591 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 79.591 * * * * [progress]: [ 198 / 414 ] simplifiying candidate # 79.592 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 79.592 * * [simplify]: iters left: 6 (24 enodes) 79.604 * * [simplify]: iters left: 5 (107 enodes) 79.626 * * [simplify]: iters left: 4 (218 enodes) 79.714 * * [simplify]: Extracting #0: cost 1 inf + 0 79.715 * * [simplify]: Extracting #1: cost 29 inf + 0 79.715 * * [simplify]: Extracting #2: cost 124 inf + 1 79.721 * * [simplify]: Extracting #3: cost 166 inf + 7 79.723 * * [simplify]: Extracting #4: cost 160 inf + 945 79.729 * * [simplify]: Extracting #5: cost 73 inf + 19876 79.742 * * [simplify]: Extracting #6: cost 13 inf + 43588 79.751 * * [simplify]: Extracting #7: cost 0 inf + 49473 79.760 * [simplify]: Simplified to (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 79.761 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 79.761 * * * * [progress]: [ 199 / 414 ] simplifiying candidate # 79.761 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 79.761 * * [simplify]: iters left: 6 (24 enodes) 79.769 * * [simplify]: iters left: 5 (108 enodes) 79.804 * * [simplify]: iters left: 4 (219 enodes) 79.881 * * [simplify]: Extracting #0: cost 1 inf + 0 79.882 * * [simplify]: Extracting #1: cost 32 inf + 0 79.882 * * [simplify]: Extracting #2: cost 136 inf + 1 79.884 * * [simplify]: Extracting #3: cost 184 inf + 77 79.887 * * [simplify]: Extracting #4: cost 148 inf + 8105 79.900 * * [simplify]: Extracting #5: cost 56 inf + 35640 79.923 * * [simplify]: Extracting #6: cost 1 inf + 56550 79.943 * * [simplify]: Extracting #7: cost 0 inf + 56715 79.959 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))) 79.959 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (* (log (* 2 PI)) (/ (- 1 k) 4)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))))))) 79.960 * * * * [progress]: [ 200 / 414 ] simplifiying candidate # 79.960 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 79.960 * * [simplify]: iters left: 6 (24 enodes) 79.967 * * [simplify]: iters left: 5 (98 enodes) 79.985 * * [simplify]: iters left: 4 (185 enodes) 80.037 * * [simplify]: Extracting #0: cost 1 inf + 0 80.037 * * [simplify]: Extracting #1: cost 34 inf + 0 80.037 * * [simplify]: Extracting #2: cost 121 inf + 1 80.038 * * [simplify]: Extracting #3: cost 151 inf + 7 80.039 * * [simplify]: Extracting #4: cost 142 inf + 996 80.041 * * [simplify]: Extracting #5: cost 74 inf + 14064 80.047 * * [simplify]: Extracting #6: cost 20 inf + 33987 80.059 * * [simplify]: Extracting #7: cost 0 inf + 44197 80.076 * * [simplify]: Extracting #8: cost 0 inf + 44167 80.094 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))) 80.094 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))))) 80.094 * * * * [progress]: [ 201 / 414 ] simplifiying candidate # 80.094 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.095 * * [simplify]: iters left: 6 (24 enodes) 80.108 * * [simplify]: iters left: 5 (98 enodes) 80.146 * * [simplify]: iters left: 4 (185 enodes) 80.237 * * [simplify]: Extracting #0: cost 1 inf + 0 80.237 * * [simplify]: Extracting #1: cost 34 inf + 0 80.238 * * [simplify]: Extracting #2: cost 121 inf + 1 80.239 * * [simplify]: Extracting #3: cost 151 inf + 7 80.240 * * [simplify]: Extracting #4: cost 142 inf + 996 80.244 * * [simplify]: Extracting #5: cost 74 inf + 14064 80.256 * * [simplify]: Extracting #6: cost 20 inf + 33987 80.272 * * [simplify]: Extracting #7: cost 0 inf + 44197 80.281 * * [simplify]: Extracting #8: cost 0 inf + 44167 80.290 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))) 80.290 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))))) 80.290 * * * * [progress]: [ 202 / 414 ] simplifiying candidate # 80.291 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 80.291 * * [simplify]: iters left: 6 (24 enodes) 80.299 * * [simplify]: iters left: 5 (99 enodes) 80.321 * * [simplify]: iters left: 4 (187 enodes) 80.396 * * [simplify]: Extracting #0: cost 1 inf + 0 80.396 * * [simplify]: Extracting #1: cost 37 inf + 0 80.397 * * [simplify]: Extracting #2: cost 132 inf + 1 80.398 * * [simplify]: Extracting #3: cost 173 inf + 6 80.399 * * [simplify]: Extracting #4: cost 169 inf + 488 80.403 * * [simplify]: Extracting #5: cost 125 inf + 7838 80.416 * * [simplify]: Extracting #6: cost 26 inf + 39402 80.434 * * [simplify]: Extracting #7: cost 0 inf + 51367 80.452 * * [simplify]: Extracting #8: cost 0 inf + 51255 80.461 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 80.462 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 80.462 * * * * [progress]: [ 203 / 414 ] simplifiying candidate # 80.462 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 80.462 * * [simplify]: iters left: 6 (20 enodes) 80.469 * * [simplify]: iters left: 5 (92 enodes) 80.496 * * [simplify]: iters left: 4 (186 enodes) 80.580 * * [simplify]: iters left: 3 (487 enodes) 80.842 * * [simplify]: Extracting #0: cost 1 inf + 0 80.842 * * [simplify]: Extracting #1: cost 58 inf + 0 80.844 * * [simplify]: Extracting #2: cost 277 inf + 1 80.847 * * [simplify]: Extracting #3: cost 317 inf + 2260 80.853 * * [simplify]: Extracting #4: cost 260 inf + 11527 80.874 * * [simplify]: Extracting #5: cost 113 inf + 62519 80.917 * * [simplify]: Extracting #6: cost 7 inf + 103000 80.964 * * [simplify]: Extracting #7: cost 0 inf + 103599 80.987 * * [simplify]: Extracting #8: cost 0 inf + 103225 81.010 * * [simplify]: Extracting #9: cost 0 inf + 103210 81.051 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 81.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 81.051 * * * * [progress]: [ 204 / 414 ] simplifiying candidate # 81.052 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 81.052 * * [simplify]: iters left: 6 (20 enodes) 81.064 * * [simplify]: iters left: 5 (92 enodes) 81.097 * * [simplify]: iters left: 4 (186 enodes) 81.185 * * [simplify]: iters left: 3 (487 enodes) 81.424 * * [simplify]: Extracting #0: cost 1 inf + 0 81.424 * * [simplify]: Extracting #1: cost 58 inf + 0 81.426 * * [simplify]: Extracting #2: cost 277 inf + 1 81.429 * * [simplify]: Extracting #3: cost 317 inf + 2260 81.435 * * [simplify]: Extracting #4: cost 260 inf + 11527 81.455 * * [simplify]: Extracting #5: cost 113 inf + 62519 81.482 * * [simplify]: Extracting #6: cost 7 inf + 103000 81.523 * * [simplify]: Extracting #7: cost 0 inf + 103599 81.569 * * [simplify]: Extracting #8: cost 0 inf + 103225 81.616 * * [simplify]: Extracting #9: cost 0 inf + 103210 81.662 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 81.662 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 81.662 * * * * [progress]: [ 205 / 414 ] simplifiying candidate # 81.662 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 81.663 * * [simplify]: iters left: 6 (20 enodes) 81.675 * * [simplify]: iters left: 5 (93 enodes) 81.707 * * [simplify]: iters left: 4 (188 enodes) 81.797 * * [simplify]: Extracting #0: cost 1 inf + 0 81.797 * * [simplify]: Extracting #1: cost 38 inf + 0 81.798 * * [simplify]: Extracting #2: cost 130 inf + 1 81.799 * * [simplify]: Extracting #3: cost 169 inf + 148 81.800 * * [simplify]: Extracting #4: cost 161 inf + 1095 81.805 * * [simplify]: Extracting #5: cost 87 inf + 20361 81.816 * * [simplify]: Extracting #6: cost 11 inf + 44222 81.825 * * [simplify]: Extracting #7: cost 0 inf + 50156 81.834 * * [simplify]: Extracting #8: cost 0 inf + 49979 81.845 * * [simplify]: Extracting #9: cost 0 inf + 49897 81.866 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 81.866 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 81.866 * * * * [progress]: [ 206 / 414 ] simplifiying candidate # 81.867 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 81.867 * * [simplify]: iters left: 6 (20 enodes) 81.879 * * [simplify]: iters left: 5 (92 enodes) 81.898 * * [simplify]: iters left: 4 (186 enodes) 81.961 * * [simplify]: iters left: 3 (487 enodes) 82.182 * * [simplify]: Extracting #0: cost 1 inf + 0 82.182 * * [simplify]: Extracting #1: cost 58 inf + 0 82.183 * * [simplify]: Extracting #2: cost 277 inf + 1 82.185 * * [simplify]: Extracting #3: cost 317 inf + 2260 82.188 * * [simplify]: Extracting #4: cost 260 inf + 11527 82.199 * * [simplify]: Extracting #5: cost 113 inf + 62519 82.224 * * [simplify]: Extracting #6: cost 7 inf + 103000 82.247 * * [simplify]: Extracting #7: cost 0 inf + 103599 82.269 * * [simplify]: Extracting #8: cost 0 inf + 103225 82.307 * * [simplify]: Extracting #9: cost 0 inf + 103210 82.331 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 82.331 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 82.331 * * * * [progress]: [ 207 / 414 ] simplifiying candidate # 82.331 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 82.331 * * [simplify]: iters left: 6 (20 enodes) 82.338 * * [simplify]: iters left: 5 (92 enodes) 82.355 * * [simplify]: iters left: 4 (186 enodes) 82.413 * * [simplify]: iters left: 3 (487 enodes) 82.628 * * [simplify]: Extracting #0: cost 1 inf + 0 82.628 * * [simplify]: Extracting #1: cost 58 inf + 0 82.630 * * [simplify]: Extracting #2: cost 277 inf + 1 82.633 * * [simplify]: Extracting #3: cost 317 inf + 2260 82.645 * * [simplify]: Extracting #4: cost 260 inf + 11527 82.666 * * [simplify]: Extracting #5: cost 113 inf + 62519 82.709 * * [simplify]: Extracting #6: cost 7 inf + 103000 82.756 * * [simplify]: Extracting #7: cost 0 inf + 103599 82.784 * * [simplify]: Extracting #8: cost 0 inf + 103225 82.817 * * [simplify]: Extracting #9: cost 0 inf + 103210 82.840 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 82.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 82.840 * * * * [progress]: [ 208 / 414 ] simplifiying candidate # 82.840 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 82.840 * * [simplify]: iters left: 6 (20 enodes) 82.849 * * [simplify]: iters left: 5 (93 enodes) 82.881 * * [simplify]: iters left: 4 (188 enodes) 82.946 * * [simplify]: Extracting #0: cost 1 inf + 0 82.946 * * [simplify]: Extracting #1: cost 38 inf + 0 82.947 * * [simplify]: Extracting #2: cost 130 inf + 1 82.948 * * [simplify]: Extracting #3: cost 169 inf + 148 82.949 * * [simplify]: Extracting #4: cost 161 inf + 1095 82.954 * * [simplify]: Extracting #5: cost 87 inf + 20361 82.969 * * [simplify]: Extracting #6: cost 11 inf + 44222 82.988 * * [simplify]: Extracting #7: cost 0 inf + 50156 83.009 * * [simplify]: Extracting #8: cost 0 inf + 49979 83.027 * * [simplify]: Extracting #9: cost 0 inf + 49897 83.044 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 83.045 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 83.045 * * * * [progress]: [ 209 / 414 ] simplifiying candidate # 83.045 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 83.045 * * [simplify]: iters left: 6 (22 enodes) 83.059 * * [simplify]: iters left: 5 (101 enodes) 83.080 * * [simplify]: iters left: 4 (219 enodes) 83.164 * * [simplify]: Extracting #0: cost 1 inf + 0 83.164 * * [simplify]: Extracting #1: cost 27 inf + 0 83.164 * * [simplify]: Extracting #2: cost 113 inf + 1 83.165 * * [simplify]: Extracting #3: cost 161 inf + 78 83.167 * * [simplify]: Extracting #4: cost 151 inf + 1365 83.173 * * [simplify]: Extracting #5: cost 65 inf + 19821 83.188 * * [simplify]: Extracting #6: cost 5 inf + 42522 83.197 * * [simplify]: Extracting #7: cost 0 inf + 45025 83.206 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))) 83.206 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))))) 83.206 * * * * [progress]: [ 210 / 414 ] simplifiying candidate # 83.206 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 83.206 * * [simplify]: iters left: 6 (22 enodes) 83.213 * * [simplify]: iters left: 5 (101 enodes) 83.250 * * [simplify]: iters left: 4 (219 enodes) 83.334 * * [simplify]: Extracting #0: cost 1 inf + 0 83.334 * * [simplify]: Extracting #1: cost 27 inf + 0 83.335 * * [simplify]: Extracting #2: cost 113 inf + 1 83.336 * * [simplify]: Extracting #3: cost 161 inf + 78 83.337 * * [simplify]: Extracting #4: cost 151 inf + 1365 83.346 * * [simplify]: Extracting #5: cost 65 inf + 19821 83.361 * * [simplify]: Extracting #6: cost 5 inf + 42522 83.376 * * [simplify]: Extracting #7: cost 0 inf + 45025 83.386 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))) 83.386 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))))) 83.386 * * * * [progress]: [ 211 / 414 ] simplifiying candidate # 83.386 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 83.387 * * [simplify]: iters left: 6 (22 enodes) 83.394 * * [simplify]: iters left: 5 (102 enodes) 83.422 * * [simplify]: iters left: 4 (220 enodes) 83.499 * * [simplify]: Extracting #0: cost 1 inf + 0 83.500 * * [simplify]: Extracting #1: cost 30 inf + 0 83.500 * * [simplify]: Extracting #2: cost 125 inf + 1 83.501 * * [simplify]: Extracting #3: cost 180 inf + 77 83.502 * * [simplify]: Extracting #4: cost 140 inf + 7804 83.508 * * [simplify]: Extracting #5: cost 47 inf + 33970 83.517 * * [simplify]: Extracting #6: cost 2 inf + 51508 83.536 * * [simplify]: Extracting #7: cost 0 inf + 52287 83.557 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 83.557 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 83.557 * * * * [progress]: [ 212 / 414 ] simplifiying candidate # 83.558 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 83.558 * * [simplify]: iters left: 6 (24 enodes) 83.572 * * [simplify]: iters left: 5 (98 enodes) 83.590 * * [simplify]: iters left: 4 (185 enodes) 83.671 * * [simplify]: Extracting #0: cost 1 inf + 0 83.671 * * [simplify]: Extracting #1: cost 34 inf + 0 83.672 * * [simplify]: Extracting #2: cost 121 inf + 1 83.672 * * [simplify]: Extracting #3: cost 151 inf + 7 83.673 * * [simplify]: Extracting #4: cost 142 inf + 996 83.675 * * [simplify]: Extracting #5: cost 74 inf + 14064 83.682 * * [simplify]: Extracting #6: cost 20 inf + 33987 83.699 * * [simplify]: Extracting #7: cost 0 inf + 44197 83.717 * * [simplify]: Extracting #8: cost 0 inf + 44167 83.734 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))) 83.735 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))))) 83.735 * * * * [progress]: [ 213 / 414 ] simplifiying candidate # 83.735 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 83.735 * * [simplify]: iters left: 6 (24 enodes) 83.749 * * [simplify]: iters left: 5 (98 enodes) 83.783 * * [simplify]: iters left: 4 (185 enodes) 83.859 * * [simplify]: Extracting #0: cost 1 inf + 0 83.860 * * [simplify]: Extracting #1: cost 34 inf + 0 83.860 * * [simplify]: Extracting #2: cost 121 inf + 1 83.861 * * [simplify]: Extracting #3: cost 151 inf + 7 83.862 * * [simplify]: Extracting #4: cost 142 inf + 996 83.867 * * [simplify]: Extracting #5: cost 74 inf + 14064 83.879 * * [simplify]: Extracting #6: cost 20 inf + 33987 83.888 * * [simplify]: Extracting #7: cost 0 inf + 44197 83.897 * * [simplify]: Extracting #8: cost 0 inf + 44167 83.908 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))) 83.908 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (/ (* (log (* PI 2)) (- 1 k)) 4)) (- (log (sqrt k)) (/ (* (log (* PI 2)) (- 1 k)) 4))))) 83.908 * * * * [progress]: [ 214 / 414 ] simplifiying candidate # 83.908 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 83.908 * * [simplify]: iters left: 6 (24 enodes) 83.917 * * [simplify]: iters left: 5 (99 enodes) 83.936 * * [simplify]: iters left: 4 (187 enodes) 84.014 * * [simplify]: Extracting #0: cost 1 inf + 0 84.014 * * [simplify]: Extracting #1: cost 37 inf + 0 84.015 * * [simplify]: Extracting #2: cost 132 inf + 1 84.015 * * [simplify]: Extracting #3: cost 173 inf + 6 84.016 * * [simplify]: Extracting #4: cost 169 inf + 488 84.017 * * [simplify]: Extracting #5: cost 125 inf + 7838 84.024 * * [simplify]: Extracting #6: cost 26 inf + 39402 84.038 * * [simplify]: Extracting #7: cost 0 inf + 51367 84.056 * * [simplify]: Extracting #8: cost 0 inf + 51255 84.073 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 84.073 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 84.073 * * * * [progress]: [ 215 / 414 ] simplifiying candidate # 84.074 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 84.074 * * [simplify]: iters left: 6 (20 enodes) 84.080 * * [simplify]: iters left: 5 (92 enodes) 84.097 * * [simplify]: iters left: 4 (186 enodes) 84.174 * * [simplify]: iters left: 3 (487 enodes) 84.440 * * [simplify]: Extracting #0: cost 1 inf + 0 84.441 * * [simplify]: Extracting #1: cost 58 inf + 0 84.442 * * [simplify]: Extracting #2: cost 277 inf + 1 84.446 * * [simplify]: Extracting #3: cost 317 inf + 2260 84.451 * * [simplify]: Extracting #4: cost 260 inf + 11527 84.471 * * [simplify]: Extracting #5: cost 113 inf + 62519 84.499 * * [simplify]: Extracting #6: cost 7 inf + 103000 84.528 * * [simplify]: Extracting #7: cost 0 inf + 103599 84.558 * * [simplify]: Extracting #8: cost 0 inf + 103225 84.581 * * [simplify]: Extracting #9: cost 0 inf + 103210 84.623 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 84.623 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 84.623 * * * * [progress]: [ 216 / 414 ] simplifiying candidate # 84.624 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 84.624 * * [simplify]: iters left: 6 (20 enodes) 84.635 * * [simplify]: iters left: 5 (92 enodes) 84.653 * * [simplify]: iters left: 4 (186 enodes) 84.726 * * [simplify]: iters left: 3 (487 enodes) 85.007 * * [simplify]: Extracting #0: cost 1 inf + 0 85.007 * * [simplify]: Extracting #1: cost 58 inf + 0 85.008 * * [simplify]: Extracting #2: cost 277 inf + 1 85.010 * * [simplify]: Extracting #3: cost 317 inf + 2260 85.013 * * [simplify]: Extracting #4: cost 260 inf + 11527 85.023 * * [simplify]: Extracting #5: cost 113 inf + 62519 85.049 * * [simplify]: Extracting #6: cost 7 inf + 103000 85.083 * * [simplify]: Extracting #7: cost 0 inf + 103599 85.113 * * [simplify]: Extracting #8: cost 0 inf + 103225 85.142 * * [simplify]: Extracting #9: cost 0 inf + 103210 85.179 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 85.179 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 85.179 * * * * [progress]: [ 217 / 414 ] simplifiying candidate # 85.179 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 85.180 * * [simplify]: iters left: 6 (20 enodes) 85.190 * * [simplify]: iters left: 5 (93 enodes) 85.208 * * [simplify]: iters left: 4 (188 enodes) 85.284 * * [simplify]: Extracting #0: cost 1 inf + 0 85.284 * * [simplify]: Extracting #1: cost 38 inf + 0 85.285 * * [simplify]: Extracting #2: cost 130 inf + 1 85.286 * * [simplify]: Extracting #3: cost 169 inf + 148 85.287 * * [simplify]: Extracting #4: cost 161 inf + 1095 85.292 * * [simplify]: Extracting #5: cost 87 inf + 20361 85.306 * * [simplify]: Extracting #6: cost 11 inf + 44222 85.325 * * [simplify]: Extracting #7: cost 0 inf + 50156 85.342 * * [simplify]: Extracting #8: cost 0 inf + 49979 85.360 * * [simplify]: Extracting #9: cost 0 inf + 49897 85.371 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 85.372 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 85.372 * * * * [progress]: [ 218 / 414 ] simplifiying candidate # 85.372 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 85.372 * * [simplify]: iters left: 6 (20 enodes) 85.378 * * [simplify]: iters left: 5 (92 enodes) 85.401 * * [simplify]: iters left: 4 (186 enodes) 85.463 * * [simplify]: iters left: 3 (487 enodes) 85.706 * * [simplify]: Extracting #0: cost 1 inf + 0 85.706 * * [simplify]: Extracting #1: cost 58 inf + 0 85.707 * * [simplify]: Extracting #2: cost 277 inf + 1 85.709 * * [simplify]: Extracting #3: cost 317 inf + 2260 85.712 * * [simplify]: Extracting #4: cost 260 inf + 11527 85.722 * * [simplify]: Extracting #5: cost 113 inf + 62519 85.752 * * [simplify]: Extracting #6: cost 7 inf + 103000 85.786 * * [simplify]: Extracting #7: cost 0 inf + 103599 85.818 * * [simplify]: Extracting #8: cost 0 inf + 103225 85.849 * * [simplify]: Extracting #9: cost 0 inf + 103210 85.873 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 85.873 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 85.873 * * * * [progress]: [ 219 / 414 ] simplifiying candidate # 85.873 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 85.873 * * [simplify]: iters left: 6 (20 enodes) 85.883 * * [simplify]: iters left: 5 (92 enodes) 85.905 * * [simplify]: iters left: 4 (186 enodes) 85.985 * * [simplify]: iters left: 3 (487 enodes) 86.269 * * [simplify]: Extracting #0: cost 1 inf + 0 86.270 * * [simplify]: Extracting #1: cost 58 inf + 0 86.271 * * [simplify]: Extracting #2: cost 277 inf + 1 86.274 * * [simplify]: Extracting #3: cost 317 inf + 2260 86.278 * * [simplify]: Extracting #4: cost 260 inf + 11527 86.289 * * [simplify]: Extracting #5: cost 113 inf + 62519 86.319 * * [simplify]: Extracting #6: cost 7 inf + 103000 86.364 * * [simplify]: Extracting #7: cost 0 inf + 103599 86.410 * * [simplify]: Extracting #8: cost 0 inf + 103225 86.449 * * [simplify]: Extracting #9: cost 0 inf + 103210 86.471 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 86.472 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 86.472 * * * * [progress]: [ 220 / 414 ] simplifiying candidate # 86.472 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 86.472 * * [simplify]: iters left: 6 (20 enodes) 86.480 * * [simplify]: iters left: 5 (93 enodes) 86.511 * * [simplify]: iters left: 4 (188 enodes) 86.586 * * [simplify]: Extracting #0: cost 1 inf + 0 86.587 * * [simplify]: Extracting #1: cost 38 inf + 0 86.587 * * [simplify]: Extracting #2: cost 130 inf + 1 86.587 * * [simplify]: Extracting #3: cost 169 inf + 148 86.588 * * [simplify]: Extracting #4: cost 161 inf + 1095 86.591 * * [simplify]: Extracting #5: cost 87 inf + 20361 86.598 * * [simplify]: Extracting #6: cost 11 inf + 44222 86.614 * * [simplify]: Extracting #7: cost 0 inf + 50156 86.631 * * [simplify]: Extracting #8: cost 0 inf + 49979 86.649 * * [simplify]: Extracting #9: cost 0 inf + 49897 86.667 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))) 86.667 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (log (* PI 2)) (/ (- 1 k) 4))))))) 86.668 * * * * [progress]: [ 221 / 414 ] simplifiying candidate # 86.668 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 86.668 * * [simplify]: iters left: 6 (22 enodes) 86.685 * * [simplify]: iters left: 5 (101 enodes) 86.720 * * [simplify]: iters left: 4 (219 enodes) 86.807 * * [simplify]: Extracting #0: cost 1 inf + 0 86.807 * * [simplify]: Extracting #1: cost 27 inf + 0 86.807 * * [simplify]: Extracting #2: cost 113 inf + 1 86.808 * * [simplify]: Extracting #3: cost 161 inf + 78 86.809 * * [simplify]: Extracting #4: cost 151 inf + 1365 86.815 * * [simplify]: Extracting #5: cost 65 inf + 19821 86.827 * * [simplify]: Extracting #6: cost 5 inf + 42522 86.836 * * [simplify]: Extracting #7: cost 0 inf + 45025 86.844 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))) 86.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))))) 86.844 * * * * [progress]: [ 222 / 414 ] simplifiying candidate # 86.844 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 86.845 * * [simplify]: iters left: 6 (22 enodes) 86.851 * * [simplify]: iters left: 5 (101 enodes) 86.882 * * [simplify]: iters left: 4 (219 enodes) 86.990 * * [simplify]: Extracting #0: cost 1 inf + 0 86.990 * * [simplify]: Extracting #1: cost 27 inf + 0 86.991 * * [simplify]: Extracting #2: cost 113 inf + 1 86.991 * * [simplify]: Extracting #3: cost 161 inf + 78 86.993 * * [simplify]: Extracting #4: cost 151 inf + 1365 86.999 * * [simplify]: Extracting #5: cost 65 inf + 19821 87.015 * * [simplify]: Extracting #6: cost 5 inf + 42522 87.031 * * [simplify]: Extracting #7: cost 0 inf + 45025 87.051 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))) 87.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (/ (* (log (* PI 2)) (- 1 k)) 4) (- (/ (* (log (* PI 2)) (- 1 k)) 4) (log (sqrt k))))))) 87.051 * * * * [progress]: [ 223 / 414 ] simplifiying candidate # 87.052 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 87.052 * * [simplify]: iters left: 6 (22 enodes) 87.059 * * [simplify]: iters left: 5 (102 enodes) 87.078 * * [simplify]: iters left: 4 (220 enodes) 87.163 * * [simplify]: Extracting #0: cost 1 inf + 0 87.164 * * [simplify]: Extracting #1: cost 30 inf + 0 87.164 * * [simplify]: Extracting #2: cost 125 inf + 1 87.165 * * [simplify]: Extracting #3: cost 180 inf + 77 87.168 * * [simplify]: Extracting #4: cost 140 inf + 7804 87.180 * * [simplify]: Extracting #5: cost 47 inf + 33970 87.191 * * [simplify]: Extracting #6: cost 2 inf + 51508 87.201 * * [simplify]: Extracting #7: cost 0 inf + 52287 87.210 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 87.210 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 87.210 * * * * [progress]: [ 224 / 414 ] simplifiying candidate # 87.210 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 87.210 * * [simplify]: iters left: 6 (24 enodes) 87.217 * * [simplify]: iters left: 5 (107 enodes) 87.256 * * [simplify]: iters left: 4 (212 enodes) 87.336 * * [simplify]: Extracting #0: cost 1 inf + 0 87.336 * * [simplify]: Extracting #1: cost 29 inf + 0 87.337 * * [simplify]: Extracting #2: cost 125 inf + 1 87.337 * * [simplify]: Extracting #3: cost 168 inf + 7 87.338 * * [simplify]: Extracting #4: cost 162 inf + 943 87.340 * * [simplify]: Extracting #5: cost 112 inf + 8995 87.345 * * [simplify]: Extracting #6: cost 32 inf + 34840 87.355 * * [simplify]: Extracting #7: cost 0 inf + 51537 87.374 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2)))))) 87.374 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2)))))))) 87.374 * * * * [progress]: [ 225 / 414 ] simplifiying candidate # 87.375 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 87.375 * * [simplify]: iters left: 6 (24 enodes) 87.388 * * [simplify]: iters left: 5 (107 enodes) 87.425 * * [simplify]: iters left: 4 (212 enodes) 87.508 * * [simplify]: Extracting #0: cost 1 inf + 0 87.508 * * [simplify]: Extracting #1: cost 29 inf + 0 87.508 * * [simplify]: Extracting #2: cost 125 inf + 1 87.509 * * [simplify]: Extracting #3: cost 168 inf + 7 87.509 * * [simplify]: Extracting #4: cost 162 inf + 943 87.511 * * [simplify]: Extracting #5: cost 112 inf + 8995 87.517 * * [simplify]: Extracting #6: cost 32 inf + 34840 87.528 * * [simplify]: Extracting #7: cost 0 inf + 51537 87.550 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2)))))) 87.550 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (* (/ (- 1 k) 4) (log (* PI 2))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2)))))))) 87.551 * * * * [progress]: [ 226 / 414 ] simplifiying candidate # 87.551 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 87.551 * * [simplify]: iters left: 6 (24 enodes) 87.564 * * [simplify]: iters left: 5 (108 enodes) 87.600 * * [simplify]: iters left: 4 (213 enodes) 87.697 * * [simplify]: Extracting #0: cost 1 inf + 0 87.697 * * [simplify]: Extracting #1: cost 32 inf + 0 87.698 * * [simplify]: Extracting #2: cost 137 inf + 1 87.698 * * [simplify]: Extracting #3: cost 186 inf + 77 87.699 * * [simplify]: Extracting #4: cost 156 inf + 4388 87.704 * * [simplify]: Extracting #5: cost 68 inf + 28307 87.714 * * [simplify]: Extracting #6: cost 1 inf + 58228 87.729 * * [simplify]: Extracting #7: cost 0 inf + 58643 87.752 * [simplify]: Simplified to (+ (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k)))) 87.752 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* PI 2))))) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k)))))) 87.753 * * * * [progress]: [ 227 / 414 ] simplifiying candidate # 87.753 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 87.753 * * [simplify]: iters left: 6 (22 enodes) 87.769 * * [simplify]: iters left: 5 (101 enodes) 87.797 * * [simplify]: iters left: 4 (212 enodes) 87.863 * * [simplify]: Extracting #0: cost 1 inf + 0 87.863 * * [simplify]: Extracting #1: cost 27 inf + 0 87.863 * * [simplify]: Extracting #2: cost 116 inf + 1 87.864 * * [simplify]: Extracting #3: cost 164 inf + 78 87.865 * * [simplify]: Extracting #4: cost 157 inf + 919 87.867 * * [simplify]: Extracting #5: cost 86 inf + 15469 87.874 * * [simplify]: Extracting #6: cost 9 inf + 42692 87.882 * * [simplify]: Extracting #7: cost 0 inf + 46925 87.891 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))) 87.891 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))))) 87.891 * * * * [progress]: [ 228 / 414 ] simplifiying candidate # 87.891 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 87.891 * * [simplify]: iters left: 6 (22 enodes) 87.899 * * [simplify]: iters left: 5 (101 enodes) 87.925 * * [simplify]: iters left: 4 (212 enodes) 87.977 * * [simplify]: Extracting #0: cost 1 inf + 0 87.978 * * [simplify]: Extracting #1: cost 27 inf + 0 87.978 * * [simplify]: Extracting #2: cost 116 inf + 1 87.978 * * [simplify]: Extracting #3: cost 164 inf + 78 87.979 * * [simplify]: Extracting #4: cost 157 inf + 919 87.981 * * [simplify]: Extracting #5: cost 86 inf + 15469 87.988 * * [simplify]: Extracting #6: cost 9 inf + 42692 87.997 * * [simplify]: Extracting #7: cost 0 inf + 46925 88.006 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))) 88.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))))) 88.006 * * * * [progress]: [ 229 / 414 ] simplifiying candidate # 88.006 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 88.006 * * [simplify]: iters left: 6 (22 enodes) 88.013 * * [simplify]: iters left: 5 (102 enodes) 88.033 * * [simplify]: iters left: 4 (213 enodes) 88.129 * * [simplify]: Extracting #0: cost 1 inf + 0 88.129 * * [simplify]: Extracting #1: cost 30 inf + 0 88.130 * * [simplify]: Extracting #2: cost 128 inf + 1 88.131 * * [simplify]: Extracting #3: cost 182 inf + 148 88.137 * * [simplify]: Extracting #4: cost 148 inf + 5030 88.147 * * [simplify]: Extracting #5: cost 52 inf + 31638 88.166 * * [simplify]: Extracting #6: cost 0 inf + 53118 88.185 * * [simplify]: Extracting #7: cost 0 inf + 53078 88.203 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) 88.203 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))))) 88.203 * * * * [progress]: [ 230 / 414 ] simplifiying candidate # 88.204 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 88.204 * * [simplify]: iters left: 6 (22 enodes) 88.213 * * [simplify]: iters left: 5 (101 enodes) 88.234 * * [simplify]: iters left: 4 (212 enodes) 88.316 * * [simplify]: Extracting #0: cost 1 inf + 0 88.316 * * [simplify]: Extracting #1: cost 27 inf + 0 88.316 * * [simplify]: Extracting #2: cost 116 inf + 1 88.316 * * [simplify]: Extracting #3: cost 164 inf + 78 88.317 * * [simplify]: Extracting #4: cost 157 inf + 919 88.319 * * [simplify]: Extracting #5: cost 86 inf + 15469 88.327 * * [simplify]: Extracting #6: cost 9 inf + 42692 88.336 * * [simplify]: Extracting #7: cost 0 inf + 46925 88.345 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))) 88.345 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))))) 88.345 * * * * [progress]: [ 231 / 414 ] simplifiying candidate # 88.345 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 88.345 * * [simplify]: iters left: 6 (22 enodes) 88.354 * * [simplify]: iters left: 5 (101 enodes) 88.382 * * [simplify]: iters left: 4 (212 enodes) 88.439 * * [simplify]: Extracting #0: cost 1 inf + 0 88.440 * * [simplify]: Extracting #1: cost 27 inf + 0 88.440 * * [simplify]: Extracting #2: cost 116 inf + 1 88.440 * * [simplify]: Extracting #3: cost 164 inf + 78 88.441 * * [simplify]: Extracting #4: cost 157 inf + 919 88.443 * * [simplify]: Extracting #5: cost 86 inf + 15469 88.450 * * [simplify]: Extracting #6: cost 9 inf + 42692 88.459 * * [simplify]: Extracting #7: cost 0 inf + 46925 88.468 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))) 88.468 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (log (sqrt k)) (* (- 1/4 (/ k 4)) (log (* PI 2)))))))) 88.468 * * * * [progress]: [ 232 / 414 ] simplifiying candidate # 88.468 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 88.469 * * [simplify]: iters left: 6 (22 enodes) 88.475 * * [simplify]: iters left: 5 (102 enodes) 88.493 * * [simplify]: iters left: 4 (213 enodes) 88.561 * * [simplify]: Extracting #0: cost 1 inf + 0 88.561 * * [simplify]: Extracting #1: cost 30 inf + 0 88.561 * * [simplify]: Extracting #2: cost 128 inf + 1 88.562 * * [simplify]: Extracting #3: cost 182 inf + 148 88.563 * * [simplify]: Extracting #4: cost 148 inf + 5030 88.568 * * [simplify]: Extracting #5: cost 52 inf + 31638 88.577 * * [simplify]: Extracting #6: cost 0 inf + 53118 88.589 * * [simplify]: Extracting #7: cost 0 inf + 53078 88.608 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) 88.608 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))))) 88.608 * * * * [progress]: [ 233 / 414 ] simplifiying candidate # 88.609 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 88.609 * * [simplify]: iters left: 6 (20 enodes) 88.623 * * [simplify]: iters left: 5 (91 enodes) 88.640 * * [simplify]: iters left: 4 (185 enodes) 88.694 * * [simplify]: iters left: 3 (491 enodes) 88.961 * * [simplify]: Extracting #0: cost 1 inf + 0 88.961 * * [simplify]: Extracting #1: cost 67 inf + 0 88.963 * * [simplify]: Extracting #2: cost 362 inf + 1 88.965 * * [simplify]: Extracting #3: cost 449 inf + 1908 88.969 * * [simplify]: Extracting #4: cost 367 inf + 16222 88.985 * * [simplify]: Extracting #5: cost 99 inf + 102061 89.035 * * [simplify]: Extracting #6: cost 1 inf + 150286 89.071 * * [simplify]: Extracting #7: cost 0 inf + 150551 89.130 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))) 89.130 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))))) 89.130 * * * * [progress]: [ 234 / 414 ] simplifiying candidate # 89.131 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 89.131 * * [simplify]: iters left: 6 (20 enodes) 89.142 * * [simplify]: iters left: 5 (91 enodes) 89.158 * * [simplify]: iters left: 4 (185 enodes) 89.223 * * [simplify]: iters left: 3 (491 enodes) 89.508 * * [simplify]: Extracting #0: cost 1 inf + 0 89.508 * * [simplify]: Extracting #1: cost 67 inf + 0 89.509 * * [simplify]: Extracting #2: cost 362 inf + 1 89.511 * * [simplify]: Extracting #3: cost 449 inf + 1908 89.518 * * [simplify]: Extracting #4: cost 367 inf + 16222 89.551 * * [simplify]: Extracting #5: cost 99 inf + 102061 89.612 * * [simplify]: Extracting #6: cost 1 inf + 150286 89.670 * * [simplify]: Extracting #7: cost 0 inf + 150551 89.731 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))) 89.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))))))) 89.732 * * * * [progress]: [ 235 / 414 ] simplifiying candidate # 89.732 * [simplify]: Simplifying (+ (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 89.732 * * [simplify]: iters left: 6 (20 enodes) 89.744 * * [simplify]: iters left: 5 (92 enodes) 89.776 * * [simplify]: iters left: 4 (183 enodes) 89.860 * * [simplify]: Extracting #0: cost 1 inf + 0 89.860 * * [simplify]: Extracting #1: cost 37 inf + 0 89.861 * * [simplify]: Extracting #2: cost 129 inf + 1 89.862 * * [simplify]: Extracting #3: cost 180 inf + 148 89.867 * * [simplify]: Extracting #4: cost 147 inf + 5253 89.877 * * [simplify]: Extracting #5: cost 55 inf + 31531 89.893 * * [simplify]: Extracting #6: cost 2 inf + 53490 89.902 * * [simplify]: Extracting #7: cost 0 inf + 54326 89.911 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (log (sqrt k)))) 89.911 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* PI 2))) (log (sqrt k)))))) 89.911 * * * * [progress]: [ 236 / 414 ] simplifiying candidate # 89.911 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 89.911 * * [simplify]: iters left: 6 (20 enodes) 89.923 * * [simplify]: iters left: 5 (89 enodes) 89.954 * * [simplify]: iters left: 4 (171 enodes) 90.001 * * [simplify]: iters left: 3 (395 enodes) 90.146 * * [simplify]: Extracting #0: cost 1 inf + 0 90.146 * * [simplify]: Extracting #1: cost 83 inf + 0 90.148 * * [simplify]: Extracting #2: cost 305 inf + 1 90.151 * * [simplify]: Extracting #3: cost 322 inf + 2499 90.158 * * [simplify]: Extracting #4: cost 243 inf + 21132 90.179 * * [simplify]: Extracting #5: cost 49 inf + 100873 90.207 * * [simplify]: Extracting #6: cost 0 inf + 125137 90.243 * * [simplify]: Extracting #7: cost 0 inf + 124752 90.269 * * [simplify]: Extracting #8: cost 0 inf + 124671 90.315 * [simplify]: Simplified to (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log PI) (log 2)) 2))) (log (sqrt k)))) 90.315 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log PI) (log 2)) 2))) (log (sqrt k)))))) 90.315 * * * * [progress]: [ 237 / 414 ] simplifiying candidate # 90.316 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 90.316 * * [simplify]: iters left: 6 (20 enodes) 90.328 * * [simplify]: iters left: 5 (89 enodes) 90.358 * * [simplify]: iters left: 4 (171 enodes) 90.401 * * [simplify]: iters left: 3 (395 enodes) 90.565 * * [simplify]: Extracting #0: cost 1 inf + 0 90.566 * * [simplify]: Extracting #1: cost 83 inf + 0 90.567 * * [simplify]: Extracting #2: cost 305 inf + 1 90.569 * * [simplify]: Extracting #3: cost 322 inf + 2499 90.577 * * [simplify]: Extracting #4: cost 243 inf + 21132 90.609 * * [simplify]: Extracting #5: cost 49 inf + 100873 90.650 * * [simplify]: Extracting #6: cost 0 inf + 125137 90.687 * * [simplify]: Extracting #7: cost 0 inf + 124752 90.715 * * [simplify]: Extracting #8: cost 0 inf + 124671 90.750 * [simplify]: Simplified to (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log PI) (log 2)) 2))) (log (sqrt k)))) 90.750 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log PI) (log 2)) 2))) (log (sqrt k)))))) 90.750 * * * * [progress]: [ 238 / 414 ] simplifiying candidate # 90.750 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 90.750 * * [simplify]: iters left: 6 (20 enodes) 90.757 * * [simplify]: iters left: 5 (90 enodes) 90.776 * * [simplify]: iters left: 4 (173 enodes) 90.854 * * [simplify]: iters left: 3 (440 enodes) 91.069 * * [simplify]: Extracting #0: cost 1 inf + 0 91.069 * * [simplify]: Extracting #1: cost 89 inf + 0 91.071 * * [simplify]: Extracting #2: cost 359 inf + 1 91.075 * * [simplify]: Extracting #3: cost 420 inf + 484 91.086 * * [simplify]: Extracting #4: cost 306 inf + 33114 91.111 * * [simplify]: Extracting #5: cost 43 inf + 138106 91.159 * * [simplify]: Extracting #6: cost 1 inf + 156579 91.218 * * [simplify]: Extracting #7: cost 0 inf + 156954 91.278 * [simplify]: Simplified to (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n))) (log (sqrt k)))) 91.278 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n))) (log (sqrt k)))))) 91.278 * * * * [progress]: [ 239 / 414 ] simplifiying candidate # 91.278 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 91.279 * * [simplify]: iters left: 6 (23 enodes) 91.292 * * [simplify]: iters left: 5 (98 enodes) 91.322 * * [simplify]: iters left: 4 (185 enodes) 91.371 * * [simplify]: iters left: 3 (405 enodes) 91.528 * * [simplify]: Extracting #0: cost 1 inf + 0 91.529 * * [simplify]: Extracting #1: cost 77 inf + 0 91.529 * * [simplify]: Extracting #2: cost 288 inf + 1 91.531 * * [simplify]: Extracting #3: cost 306 inf + 2116 91.536 * * [simplify]: Extracting #4: cost 202 inf + 32904 91.558 * * [simplify]: Extracting #5: cost 38 inf + 101400 91.605 * * [simplify]: Extracting #6: cost 0 inf + 112936 91.654 * * [simplify]: Extracting #7: cost 0 inf + 111704 91.698 * * [simplify]: Extracting #8: cost 0 inf + 110788 91.729 * * [simplify]: Extracting #9: cost 0 inf + 110691 91.751 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 91.752 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 91.752 * * * * [progress]: [ 240 / 414 ] simplifiying candidate # 91.752 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 91.752 * * [simplify]: iters left: 6 (23 enodes) 91.761 * * [simplify]: iters left: 5 (98 enodes) 91.779 * * [simplify]: iters left: 4 (185 enodes) 91.817 * * [simplify]: iters left: 3 (405 enodes) 91.951 * * [simplify]: Extracting #0: cost 1 inf + 0 91.951 * * [simplify]: Extracting #1: cost 77 inf + 0 91.952 * * [simplify]: Extracting #2: cost 288 inf + 1 91.954 * * [simplify]: Extracting #3: cost 306 inf + 2116 91.959 * * [simplify]: Extracting #4: cost 202 inf + 32904 91.986 * * [simplify]: Extracting #5: cost 38 inf + 101400 92.017 * * [simplify]: Extracting #6: cost 0 inf + 112936 92.043 * * [simplify]: Extracting #7: cost 0 inf + 111704 92.071 * * [simplify]: Extracting #8: cost 0 inf + 110788 92.093 * * [simplify]: Extracting #9: cost 0 inf + 110691 92.116 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 92.116 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 92.116 * * * * [progress]: [ 241 / 414 ] simplifiying candidate # 92.116 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 92.116 * * [simplify]: iters left: 6 (23 enodes) 92.123 * * [simplify]: iters left: 5 (99 enodes) 92.154 * * [simplify]: iters left: 4 (194 enodes) 92.227 * * [simplify]: iters left: 3 (456 enodes) 92.400 * * [simplify]: Extracting #0: cost 1 inf + 0 92.400 * * [simplify]: Extracting #1: cost 88 inf + 0 92.402 * * [simplify]: Extracting #2: cost 346 inf + 1 92.406 * * [simplify]: Extracting #3: cost 410 inf + 301 92.412 * * [simplify]: Extracting #4: cost 349 inf + 10090 92.442 * * [simplify]: Extracting #5: cost 107 inf + 92901 92.492 * * [simplify]: Extracting #6: cost 4 inf + 140122 92.528 * * [simplify]: Extracting #7: cost 0 inf + 142309 92.561 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 92.561 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 92.561 * * * * [progress]: [ 242 / 414 ] simplifiying candidate # 92.561 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 92.561 * * [simplify]: iters left: 6 (23 enodes) 92.569 * * [simplify]: iters left: 5 (98 enodes) 92.586 * * [simplify]: iters left: 4 (185 enodes) 92.639 * * [simplify]: iters left: 3 (405 enodes) 92.787 * * [simplify]: Extracting #0: cost 1 inf + 0 92.788 * * [simplify]: Extracting #1: cost 77 inf + 0 92.789 * * [simplify]: Extracting #2: cost 288 inf + 1 92.791 * * [simplify]: Extracting #3: cost 306 inf + 2116 92.796 * * [simplify]: Extracting #4: cost 202 inf + 32904 92.818 * * [simplify]: Extracting #5: cost 38 inf + 101400 92.847 * * [simplify]: Extracting #6: cost 0 inf + 112936 92.878 * * [simplify]: Extracting #7: cost 0 inf + 111704 92.901 * * [simplify]: Extracting #8: cost 0 inf + 110788 92.939 * * [simplify]: Extracting #9: cost 0 inf + 110691 92.976 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 92.976 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 92.976 * * * * [progress]: [ 243 / 414 ] simplifiying candidate # 92.976 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 92.977 * * [simplify]: iters left: 6 (23 enodes) 92.983 * * [simplify]: iters left: 5 (98 enodes) 93.004 * * [simplify]: iters left: 4 (185 enodes) 93.068 * * [simplify]: iters left: 3 (405 enodes) 93.216 * * [simplify]: Extracting #0: cost 1 inf + 0 93.216 * * [simplify]: Extracting #1: cost 77 inf + 0 93.218 * * [simplify]: Extracting #2: cost 288 inf + 1 93.221 * * [simplify]: Extracting #3: cost 306 inf + 2116 93.231 * * [simplify]: Extracting #4: cost 202 inf + 32904 93.265 * * [simplify]: Extracting #5: cost 38 inf + 101400 93.287 * * [simplify]: Extracting #6: cost 0 inf + 112936 93.310 * * [simplify]: Extracting #7: cost 0 inf + 111704 93.357 * * [simplify]: Extracting #8: cost 0 inf + 110788 93.387 * * [simplify]: Extracting #9: cost 0 inf + 110691 93.414 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 93.414 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 93.414 * * * * [progress]: [ 244 / 414 ] simplifiying candidate # 93.414 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 93.415 * * [simplify]: iters left: 6 (23 enodes) 93.429 * * [simplify]: iters left: 5 (99 enodes) 93.465 * * [simplify]: iters left: 4 (194 enodes) 93.540 * * [simplify]: iters left: 3 (456 enodes) 93.703 * * [simplify]: Extracting #0: cost 1 inf + 0 93.703 * * [simplify]: Extracting #1: cost 88 inf + 0 93.706 * * [simplify]: Extracting #2: cost 346 inf + 1 93.709 * * [simplify]: Extracting #3: cost 410 inf + 301 93.715 * * [simplify]: Extracting #4: cost 349 inf + 10090 93.739 * * [simplify]: Extracting #5: cost 107 inf + 92901 93.769 * * [simplify]: Extracting #6: cost 4 inf + 140122 93.798 * * [simplify]: Extracting #7: cost 0 inf + 142309 93.841 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 93.842 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 93.842 * * * * [progress]: [ 245 / 414 ] simplifiying candidate # 93.844 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 93.844 * * [simplify]: iters left: 6 (23 enodes) 93.851 * * [simplify]: iters left: 5 (104 enodes) 93.874 * * [simplify]: iters left: 4 (206 enodes) 93.943 * * [simplify]: iters left: 3 (482 enodes) 94.137 * * [simplify]: Extracting #0: cost 1 inf + 0 94.137 * * [simplify]: Extracting #1: cost 92 inf + 0 94.138 * * [simplify]: Extracting #2: cost 419 inf + 1 94.141 * * [simplify]: Extracting #3: cost 413 inf + 11254 94.152 * * [simplify]: Extracting #4: cost 245 inf + 69092 94.188 * * [simplify]: Extracting #5: cost 33 inf + 163250 94.245 * * [simplify]: Extracting #6: cost 4 inf + 171750 94.306 * * [simplify]: Extracting #7: cost 0 inf + 171915 94.375 * * [simplify]: Extracting #8: cost 0 inf + 171821 94.419 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 94.419 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 94.420 * * * * [progress]: [ 246 / 414 ] simplifiying candidate # 94.420 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 94.420 * * [simplify]: iters left: 6 (23 enodes) 94.430 * * [simplify]: iters left: 5 (104 enodes) 94.449 * * [simplify]: iters left: 4 (206 enodes) 94.518 * * [simplify]: iters left: 3 (482 enodes) 94.721 * * [simplify]: Extracting #0: cost 1 inf + 0 94.721 * * [simplify]: Extracting #1: cost 92 inf + 0 94.722 * * [simplify]: Extracting #2: cost 419 inf + 1 94.725 * * [simplify]: Extracting #3: cost 413 inf + 11254 94.741 * * [simplify]: Extracting #4: cost 245 inf + 69092 94.789 * * [simplify]: Extracting #5: cost 33 inf + 163250 94.829 * * [simplify]: Extracting #6: cost 4 inf + 171750 94.871 * * [simplify]: Extracting #7: cost 0 inf + 171915 94.935 * * [simplify]: Extracting #8: cost 0 inf + 171821 95.003 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 95.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 95.004 * * * * [progress]: [ 247 / 414 ] simplifiying candidate # 95.004 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 95.004 * * [simplify]: iters left: 6 (23 enodes) 95.018 * * [simplify]: iters left: 5 (105 enodes) 95.038 * * [simplify]: iters left: 4 (207 enodes) 95.095 * * [simplify]: Extracting #0: cost 1 inf + 0 95.095 * * [simplify]: Extracting #1: cost 27 inf + 0 95.095 * * [simplify]: Extracting #2: cost 120 inf + 1 95.096 * * [simplify]: Extracting #3: cost 157 inf + 77 95.097 * * [simplify]: Extracting #4: cost 149 inf + 1058 95.102 * * [simplify]: Extracting #5: cost 82 inf + 18304 95.116 * * [simplify]: Extracting #6: cost 11 inf + 42657 95.130 * * [simplify]: Extracting #7: cost 0 inf + 45056 95.138 * [simplify]: Simplified to (fma (log (* PI 2)) (/ (- 1 k) 4) (- (fma (/ (- 1 k) 4) (log (* PI 2)) (/ (- 1 k) (/ 2 (log n)))) (log (sqrt k)))) 95.138 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* PI 2)) (/ (- 1 k) 4) (- (fma (/ (- 1 k) 4) (log (* PI 2)) (/ (- 1 k) (/ 2 (log n)))) (log (sqrt k)))))) 95.138 * * * * [progress]: [ 248 / 414 ] simplifiying candidate # 95.138 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 95.138 * * [simplify]: iters left: 6 (23 enodes) 95.145 * * [simplify]: iters left: 5 (95 enodes) 95.162 * * [simplify]: iters left: 4 (175 enodes) 95.222 * * [simplify]: iters left: 3 (388 enodes) 95.367 * * [simplify]: Extracting #0: cost 1 inf + 0 95.367 * * [simplify]: Extracting #1: cost 76 inf + 0 95.369 * * [simplify]: Extracting #2: cost 278 inf + 1 95.372 * * [simplify]: Extracting #3: cost 301 inf + 2405 95.381 * * [simplify]: Extracting #4: cost 191 inf + 31692 95.399 * * [simplify]: Extracting #5: cost 16 inf + 97386 95.434 * * [simplify]: Extracting #6: cost 0 inf + 103351 95.455 * * [simplify]: Extracting #7: cost 0 inf + 103318 95.482 * [simplify]: Simplified to (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 95.483 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 95.483 * * * * [progress]: [ 249 / 414 ] simplifiying candidate # 95.483 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 95.483 * * [simplify]: iters left: 6 (23 enodes) 95.497 * * [simplify]: iters left: 5 (95 enodes) 95.515 * * [simplify]: iters left: 4 (175 enodes) 95.566 * * [simplify]: iters left: 3 (388 enodes) 95.741 * * [simplify]: Extracting #0: cost 1 inf + 0 95.741 * * [simplify]: Extracting #1: cost 76 inf + 0 95.743 * * [simplify]: Extracting #2: cost 278 inf + 1 95.745 * * [simplify]: Extracting #3: cost 301 inf + 2405 95.756 * * [simplify]: Extracting #4: cost 191 inf + 31692 95.793 * * [simplify]: Extracting #5: cost 16 inf + 97386 95.838 * * [simplify]: Extracting #6: cost 0 inf + 103351 95.879 * * [simplify]: Extracting #7: cost 0 inf + 103318 95.920 * [simplify]: Simplified to (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 95.920 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 95.920 * * * * [progress]: [ 250 / 414 ] simplifiying candidate # 95.921 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 95.921 * * [simplify]: iters left: 6 (23 enodes) 95.934 * * [simplify]: iters left: 5 (96 enodes) 95.966 * * [simplify]: iters left: 4 (177 enodes) 96.039 * * [simplify]: iters left: 3 (431 enodes) 96.221 * * [simplify]: Extracting #0: cost 1 inf + 0 96.221 * * [simplify]: Extracting #1: cost 84 inf + 0 96.222 * * [simplify]: Extracting #2: cost 341 inf + 1 96.224 * * [simplify]: Extracting #3: cost 404 inf + 414 96.229 * * [simplify]: Extracting #4: cost 302 inf + 26673 96.264 * * [simplify]: Extracting #5: cost 63 inf + 110857 96.296 * * [simplify]: Extracting #6: cost 1 inf + 138172 96.336 * * [simplify]: Extracting #7: cost 0 inf + 138330 96.370 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 96.370 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 96.370 * * * * [progress]: [ 251 / 414 ] simplifiying candidate # 96.371 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 96.371 * * [simplify]: iters left: 6 (19 enodes) 96.377 * * [simplify]: iters left: 5 (89 enodes) 96.396 * * [simplify]: iters left: 4 (174 enodes) 96.461 * * [simplify]: iters left: 3 (361 enodes) 96.579 * * [simplify]: Extracting #0: cost 1 inf + 0 96.579 * * [simplify]: Extracting #1: cost 63 inf + 0 96.580 * * [simplify]: Extracting #2: cost 251 inf + 1 96.581 * * [simplify]: Extracting #3: cost 272 inf + 2079 96.589 * * [simplify]: Extracting #4: cost 173 inf + 27576 96.603 * * [simplify]: Extracting #5: cost 33 inf + 73442 96.621 * * [simplify]: Extracting #6: cost 0 inf + 89676 96.649 * * [simplify]: Extracting #7: cost 0 inf + 89645 96.685 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 96.685 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 96.685 * * * * [progress]: [ 252 / 414 ] simplifiying candidate # 96.685 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 96.686 * * [simplify]: iters left: 6 (19 enodes) 96.697 * * [simplify]: iters left: 5 (89 enodes) 96.725 * * [simplify]: iters left: 4 (174 enodes) 96.760 * * [simplify]: iters left: 3 (361 enodes) 96.888 * * [simplify]: Extracting #0: cost 1 inf + 0 96.889 * * [simplify]: Extracting #1: cost 63 inf + 0 96.892 * * [simplify]: Extracting #2: cost 251 inf + 1 96.894 * * [simplify]: Extracting #3: cost 272 inf + 2079 96.899 * * [simplify]: Extracting #4: cost 173 inf + 27576 96.912 * * [simplify]: Extracting #5: cost 33 inf + 73442 96.930 * * [simplify]: Extracting #6: cost 0 inf + 89676 96.948 * * [simplify]: Extracting #7: cost 0 inf + 89645 96.976 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 96.976 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 96.976 * * * * [progress]: [ 253 / 414 ] simplifiying candidate # 96.977 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 96.977 * * [simplify]: iters left: 6 (19 enodes) 96.989 * * [simplify]: iters left: 5 (90 enodes) 97.019 * * [simplify]: iters left: 4 (176 enodes) 97.074 * * [simplify]: iters left: 3 (406 enodes) 97.235 * * [simplify]: Extracting #0: cost 1 inf + 0 97.235 * * [simplify]: Extracting #1: cost 73 inf + 0 97.237 * * [simplify]: Extracting #2: cost 314 inf + 1 97.241 * * [simplify]: Extracting #3: cost 378 inf + 302 97.248 * * [simplify]: Extracting #4: cost 295 inf + 16974 97.269 * * [simplify]: Extracting #5: cost 73 inf + 89821 97.651 * * [simplify]: Extracting #6: cost 3 inf + 124732 97.692 * * [simplify]: Extracting #7: cost 0 inf + 125825 97.738 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 97.738 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 97.738 * * * * [progress]: [ 254 / 414 ] simplifiying candidate # 97.738 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 97.738 * * [simplify]: iters left: 6 (19 enodes) 97.745 * * [simplify]: iters left: 5 (89 enodes) 97.761 * * [simplify]: iters left: 4 (174 enodes) 97.812 * * [simplify]: iters left: 3 (361 enodes) 97.935 * * [simplify]: Extracting #0: cost 1 inf + 0 97.936 * * [simplify]: Extracting #1: cost 63 inf + 0 97.936 * * [simplify]: Extracting #2: cost 251 inf + 1 97.938 * * [simplify]: Extracting #3: cost 272 inf + 2079 97.946 * * [simplify]: Extracting #4: cost 173 inf + 27576 97.971 * * [simplify]: Extracting #5: cost 33 inf + 73442 97.989 * * [simplify]: Extracting #6: cost 0 inf + 89676 98.013 * * [simplify]: Extracting #7: cost 0 inf + 89645 98.031 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 98.031 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 98.031 * * * * [progress]: [ 255 / 414 ] simplifiying candidate # 98.031 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 98.032 * * [simplify]: iters left: 6 (19 enodes) 98.038 * * [simplify]: iters left: 5 (89 enodes) 98.058 * * [simplify]: iters left: 4 (174 enodes) 98.104 * * [simplify]: iters left: 3 (361 enodes) 98.216 * * [simplify]: Extracting #0: cost 1 inf + 0 98.216 * * [simplify]: Extracting #1: cost 63 inf + 0 98.217 * * [simplify]: Extracting #2: cost 251 inf + 1 98.218 * * [simplify]: Extracting #3: cost 272 inf + 2079 98.224 * * [simplify]: Extracting #4: cost 173 inf + 27576 98.241 * * [simplify]: Extracting #5: cost 33 inf + 73442 98.274 * * [simplify]: Extracting #6: cost 0 inf + 89676 98.292 * * [simplify]: Extracting #7: cost 0 inf + 89645 98.328 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 98.328 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 98.328 * * * * [progress]: [ 256 / 414 ] simplifiying candidate # 98.329 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 98.329 * * [simplify]: iters left: 6 (19 enodes) 98.341 * * [simplify]: iters left: 5 (90 enodes) 98.360 * * [simplify]: iters left: 4 (176 enodes) 98.414 * * [simplify]: iters left: 3 (406 enodes) 98.564 * * [simplify]: Extracting #0: cost 1 inf + 0 98.564 * * [simplify]: Extracting #1: cost 73 inf + 0 98.565 * * [simplify]: Extracting #2: cost 314 inf + 1 98.566 * * [simplify]: Extracting #3: cost 378 inf + 302 98.570 * * [simplify]: Extracting #4: cost 295 inf + 16974 98.585 * * [simplify]: Extracting #5: cost 73 inf + 89821 98.616 * * [simplify]: Extracting #6: cost 3 inf + 124732 98.645 * * [simplify]: Extracting #7: cost 0 inf + 125825 98.691 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 98.691 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 98.691 * * * * [progress]: [ 257 / 414 ] simplifiying candidate # 98.692 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 98.692 * * [simplify]: iters left: 6 (21 enodes) 98.705 * * [simplify]: iters left: 5 (98 enodes) 98.724 * * [simplify]: iters left: 4 (207 enodes) 98.780 * * [simplify]: iters left: 3 (460 enodes) 98.972 * * [simplify]: Extracting #0: cost 1 inf + 0 98.973 * * [simplify]: Extracting #1: cost 82 inf + 0 98.974 * * [simplify]: Extracting #2: cost 369 inf + 1 98.976 * * [simplify]: Extracting #3: cost 394 inf + 5943 98.986 * * [simplify]: Extracting #4: cost 227 inf + 54705 99.024 * * [simplify]: Extracting #5: cost 24 inf + 139962 99.071 * * [simplify]: Extracting #6: cost 2 inf + 148968 99.109 * * [simplify]: Extracting #7: cost 0 inf + 150030 99.158 * [simplify]: Simplified to (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 99.158 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 99.158 * * * * [progress]: [ 258 / 414 ] simplifiying candidate # 99.159 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 99.159 * * [simplify]: iters left: 6 (21 enodes) 99.172 * * [simplify]: iters left: 5 (98 enodes) 99.205 * * [simplify]: iters left: 4 (207 enodes) 99.277 * * [simplify]: iters left: 3 (460 enodes) 99.501 * * [simplify]: Extracting #0: cost 1 inf + 0 99.501 * * [simplify]: Extracting #1: cost 82 inf + 0 99.502 * * [simplify]: Extracting #2: cost 369 inf + 1 99.505 * * [simplify]: Extracting #3: cost 394 inf + 5943 99.520 * * [simplify]: Extracting #4: cost 227 inf + 54705 99.572 * * [simplify]: Extracting #5: cost 24 inf + 139962 99.632 * * [simplify]: Extracting #6: cost 2 inf + 148968 99.663 * * [simplify]: Extracting #7: cost 0 inf + 150030 99.701 * [simplify]: Simplified to (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 99.701 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 99.701 * * * * [progress]: [ 259 / 414 ] simplifiying candidate # 99.701 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 99.701 * * [simplify]: iters left: 6 (21 enodes) 99.708 * * [simplify]: iters left: 5 (99 enodes) 99.742 * * [simplify]: iters left: 4 (208 enodes) 99.819 * * [simplify]: iters left: 3 (491 enodes) 100.041 * * [simplify]: Extracting #0: cost 1 inf + 0 100.041 * * [simplify]: Extracting #1: cost 87 inf + 0 100.042 * * [simplify]: Extracting #2: cost 405 inf + 1 100.044 * * [simplify]: Extracting #3: cost 475 inf + 779 100.049 * * [simplify]: Extracting #4: cost 365 inf + 26984 100.080 * * [simplify]: Extracting #5: cost 82 inf + 133346 100.133 * * [simplify]: Extracting #6: cost 0 inf + 169693 100.180 * * [simplify]: Extracting #7: cost 0 inf + 169533 100.212 * * [simplify]: Extracting #8: cost 0 inf + 169518 100.252 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 100.252 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 100.252 * * * * [progress]: [ 260 / 414 ] simplifiying candidate # 100.252 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 100.253 * * [simplify]: iters left: 6 (23 enodes) 100.260 * * [simplify]: iters left: 5 (95 enodes) 100.286 * * [simplify]: iters left: 4 (175 enodes) 100.336 * * [simplify]: iters left: 3 (388 enodes) 100.477 * * [simplify]: Extracting #0: cost 1 inf + 0 100.477 * * [simplify]: Extracting #1: cost 76 inf + 0 100.479 * * [simplify]: Extracting #2: cost 278 inf + 1 100.482 * * [simplify]: Extracting #3: cost 301 inf + 2405 100.493 * * [simplify]: Extracting #4: cost 191 inf + 31692 100.530 * * [simplify]: Extracting #5: cost 16 inf + 97386 100.567 * * [simplify]: Extracting #6: cost 0 inf + 103351 100.594 * * [simplify]: Extracting #7: cost 0 inf + 103318 100.623 * [simplify]: Simplified to (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 100.623 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 100.623 * * * * [progress]: [ 261 / 414 ] simplifiying candidate # 100.623 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 100.623 * * [simplify]: iters left: 6 (23 enodes) 100.631 * * [simplify]: iters left: 5 (95 enodes) 100.653 * * [simplify]: iters left: 4 (175 enodes) 100.703 * * [simplify]: iters left: 3 (388 enodes) 100.856 * * [simplify]: Extracting #0: cost 1 inf + 0 100.856 * * [simplify]: Extracting #1: cost 76 inf + 0 100.858 * * [simplify]: Extracting #2: cost 278 inf + 1 100.861 * * [simplify]: Extracting #3: cost 301 inf + 2405 100.868 * * [simplify]: Extracting #4: cost 191 inf + 31692 100.886 * * [simplify]: Extracting #5: cost 16 inf + 97386 100.915 * * [simplify]: Extracting #6: cost 0 inf + 103351 100.938 * * [simplify]: Extracting #7: cost 0 inf + 103318 100.969 * [simplify]: Simplified to (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 100.969 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 100.970 * * * * [progress]: [ 262 / 414 ] simplifiying candidate # 100.970 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 100.970 * * [simplify]: iters left: 6 (23 enodes) 100.984 * * [simplify]: iters left: 5 (96 enodes) 101.017 * * [simplify]: iters left: 4 (177 enodes) 101.075 * * [simplify]: iters left: 3 (431 enodes) 101.266 * * [simplify]: Extracting #0: cost 1 inf + 0 101.266 * * [simplify]: Extracting #1: cost 84 inf + 0 101.268 * * [simplify]: Extracting #2: cost 341 inf + 1 101.274 * * [simplify]: Extracting #3: cost 404 inf + 414 101.279 * * [simplify]: Extracting #4: cost 302 inf + 26673 101.307 * * [simplify]: Extracting #5: cost 63 inf + 110857 101.336 * * [simplify]: Extracting #6: cost 1 inf + 138172 101.384 * * [simplify]: Extracting #7: cost 0 inf + 138330 101.436 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 101.436 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 101.437 * * * * [progress]: [ 263 / 414 ] simplifiying candidate # 101.437 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 101.437 * * [simplify]: iters left: 6 (19 enodes) 101.443 * * [simplify]: iters left: 5 (89 enodes) 101.461 * * [simplify]: iters left: 4 (174 enodes) 101.509 * * [simplify]: iters left: 3 (361 enodes) 101.629 * * [simplify]: Extracting #0: cost 1 inf + 0 101.629 * * [simplify]: Extracting #1: cost 63 inf + 0 101.630 * * [simplify]: Extracting #2: cost 251 inf + 1 101.631 * * [simplify]: Extracting #3: cost 272 inf + 2079 101.640 * * [simplify]: Extracting #4: cost 173 inf + 27576 101.668 * * [simplify]: Extracting #5: cost 33 inf + 73442 101.708 * * [simplify]: Extracting #6: cost 0 inf + 89676 101.743 * * [simplify]: Extracting #7: cost 0 inf + 89645 101.781 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 101.781 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 101.781 * * * * [progress]: [ 264 / 414 ] simplifiying candidate # 101.781 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 101.782 * * [simplify]: iters left: 6 (19 enodes) 101.793 * * [simplify]: iters left: 5 (89 enodes) 101.815 * * [simplify]: iters left: 4 (174 enodes) 101.853 * * [simplify]: iters left: 3 (361 enodes) 101.989 * * [simplify]: Extracting #0: cost 1 inf + 0 101.990 * * [simplify]: Extracting #1: cost 63 inf + 0 101.991 * * [simplify]: Extracting #2: cost 251 inf + 1 101.994 * * [simplify]: Extracting #3: cost 272 inf + 2079 102.004 * * [simplify]: Extracting #4: cost 173 inf + 27576 102.031 * * [simplify]: Extracting #5: cost 33 inf + 73442 102.074 * * [simplify]: Extracting #6: cost 0 inf + 89676 102.110 * * [simplify]: Extracting #7: cost 0 inf + 89645 102.129 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 102.129 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 102.129 * * * * [progress]: [ 265 / 414 ] simplifiying candidate # 102.129 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 102.129 * * [simplify]: iters left: 6 (19 enodes) 102.135 * * [simplify]: iters left: 5 (90 enodes) 102.151 * * [simplify]: iters left: 4 (176 enodes) 102.188 * * [simplify]: iters left: 3 (406 enodes) 102.316 * * [simplify]: Extracting #0: cost 1 inf + 0 102.322 * * [simplify]: Extracting #1: cost 73 inf + 0 102.323 * * [simplify]: Extracting #2: cost 314 inf + 1 102.325 * * [simplify]: Extracting #3: cost 378 inf + 302 102.328 * * [simplify]: Extracting #4: cost 295 inf + 16974 102.343 * * [simplify]: Extracting #5: cost 73 inf + 89821 102.378 * * [simplify]: Extracting #6: cost 3 inf + 124732 102.423 * * [simplify]: Extracting #7: cost 0 inf + 125825 102.450 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 102.450 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 102.451 * * * * [progress]: [ 266 / 414 ] simplifiying candidate # 102.451 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 102.451 * * [simplify]: iters left: 6 (19 enodes) 102.462 * * [simplify]: iters left: 5 (89 enodes) 102.492 * * [simplify]: iters left: 4 (174 enodes) 102.533 * * [simplify]: iters left: 3 (361 enodes) 102.653 * * [simplify]: Extracting #0: cost 1 inf + 0 102.653 * * [simplify]: Extracting #1: cost 63 inf + 0 102.655 * * [simplify]: Extracting #2: cost 251 inf + 1 102.657 * * [simplify]: Extracting #3: cost 272 inf + 2079 102.667 * * [simplify]: Extracting #4: cost 173 inf + 27576 102.696 * * [simplify]: Extracting #5: cost 33 inf + 73442 102.726 * * [simplify]: Extracting #6: cost 0 inf + 89676 102.747 * * [simplify]: Extracting #7: cost 0 inf + 89645 102.778 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 102.779 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 102.779 * * * * [progress]: [ 267 / 414 ] simplifiying candidate # 102.779 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 102.779 * * [simplify]: iters left: 6 (19 enodes) 102.788 * * [simplify]: iters left: 5 (89 enodes) 102.805 * * [simplify]: iters left: 4 (174 enodes) 102.857 * * [simplify]: iters left: 3 (361 enodes) 102.983 * * [simplify]: Extracting #0: cost 1 inf + 0 102.983 * * [simplify]: Extracting #1: cost 63 inf + 0 102.984 * * [simplify]: Extracting #2: cost 251 inf + 1 102.987 * * [simplify]: Extracting #3: cost 272 inf + 2079 102.994 * * [simplify]: Extracting #4: cost 173 inf + 27576 103.008 * * [simplify]: Extracting #5: cost 33 inf + 73442 103.037 * * [simplify]: Extracting #6: cost 0 inf + 89676 103.062 * * [simplify]: Extracting #7: cost 0 inf + 89645 103.080 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 103.080 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 103.080 * * * * [progress]: [ 268 / 414 ] simplifiying candidate # 103.081 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 103.081 * * [simplify]: iters left: 6 (19 enodes) 103.087 * * [simplify]: iters left: 5 (90 enodes) 103.115 * * [simplify]: iters left: 4 (176 enodes) 103.152 * * [simplify]: iters left: 3 (406 enodes) 103.303 * * [simplify]: Extracting #0: cost 1 inf + 0 103.303 * * [simplify]: Extracting #1: cost 73 inf + 0 103.305 * * [simplify]: Extracting #2: cost 314 inf + 1 103.308 * * [simplify]: Extracting #3: cost 378 inf + 302 103.319 * * [simplify]: Extracting #4: cost 295 inf + 16974 103.334 * * [simplify]: Extracting #5: cost 73 inf + 89821 103.366 * * [simplify]: Extracting #6: cost 3 inf + 124732 103.414 * * [simplify]: Extracting #7: cost 0 inf + 125825 103.454 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 103.454 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 103.454 * * * * [progress]: [ 269 / 414 ] simplifiying candidate # 103.454 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 103.454 * * [simplify]: iters left: 6 (21 enodes) 103.461 * * [simplify]: iters left: 5 (98 enodes) 103.484 * * [simplify]: iters left: 4 (207 enodes) 103.548 * * [simplify]: iters left: 3 (460 enodes) 103.750 * * [simplify]: Extracting #0: cost 1 inf + 0 103.750 * * [simplify]: Extracting #1: cost 82 inf + 0 103.751 * * [simplify]: Extracting #2: cost 369 inf + 1 103.754 * * [simplify]: Extracting #3: cost 394 inf + 5943 103.764 * * [simplify]: Extracting #4: cost 227 inf + 54705 103.798 * * [simplify]: Extracting #5: cost 24 inf + 139962 103.847 * * [simplify]: Extracting #6: cost 2 inf + 148968 103.905 * * [simplify]: Extracting #7: cost 0 inf + 150030 103.958 * [simplify]: Simplified to (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 103.958 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 103.958 * * * * [progress]: [ 270 / 414 ] simplifiying candidate # 103.958 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 103.959 * * [simplify]: iters left: 6 (21 enodes) 103.965 * * [simplify]: iters left: 5 (98 enodes) 103.983 * * [simplify]: iters left: 4 (207 enodes) 104.063 * * [simplify]: iters left: 3 (460 enodes) 104.249 * * [simplify]: Extracting #0: cost 1 inf + 0 104.249 * * [simplify]: Extracting #1: cost 82 inf + 0 104.252 * * [simplify]: Extracting #2: cost 369 inf + 1 104.256 * * [simplify]: Extracting #3: cost 394 inf + 5943 104.276 * * [simplify]: Extracting #4: cost 227 inf + 54705 104.330 * * [simplify]: Extracting #5: cost 24 inf + 139962 104.361 * * [simplify]: Extracting #6: cost 2 inf + 148968 104.398 * * [simplify]: Extracting #7: cost 0 inf + 150030 104.452 * [simplify]: Simplified to (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))) 104.452 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)) (- (* (log n) (/ (- 1 k) 2)) (log (sqrt k)))))) 104.452 * * * * [progress]: [ 271 / 414 ] simplifiying candidate # 104.452 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 104.453 * * [simplify]: iters left: 6 (21 enodes) 104.465 * * [simplify]: iters left: 5 (99 enodes) 104.498 * * [simplify]: iters left: 4 (208 enodes) 104.558 * * [simplify]: iters left: 3 (491 enodes) 104.793 * * [simplify]: Extracting #0: cost 1 inf + 0 104.793 * * [simplify]: Extracting #1: cost 87 inf + 0 104.796 * * [simplify]: Extracting #2: cost 405 inf + 1 104.800 * * [simplify]: Extracting #3: cost 475 inf + 779 104.810 * * [simplify]: Extracting #4: cost 365 inf + 26984 104.842 * * [simplify]: Extracting #5: cost 82 inf + 133346 104.897 * * [simplify]: Extracting #6: cost 0 inf + 169693 104.928 * * [simplify]: Extracting #7: cost 0 inf + 169533 104.962 * * [simplify]: Extracting #8: cost 0 inf + 169518 105.006 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 105.006 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 105.006 * * * * [progress]: [ 272 / 414 ] simplifiying candidate # 105.007 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 105.007 * * [simplify]: iters left: 6 (23 enodes) 105.013 * * [simplify]: iters left: 5 (104 enodes) 105.044 * * [simplify]: iters left: 4 (203 enodes) 105.132 * * [simplify]: iters left: 3 (488 enodes) 105.327 * * [simplify]: Extracting #0: cost 1 inf + 0 105.327 * * [simplify]: Extracting #1: cost 89 inf + 0 105.334 * * [simplify]: Extracting #2: cost 398 inf + 1 105.339 * * [simplify]: Extracting #3: cost 409 inf + 5575 105.359 * * [simplify]: Extracting #4: cost 224 inf + 70029 105.388 * * [simplify]: Extracting #5: cost 40 inf + 152472 105.431 * * [simplify]: Extracting #6: cost 1 inf + 167332 105.480 * * [simplify]: Extracting #7: cost 0 inf + 166347 105.549 * * [simplify]: Extracting #8: cost 0 inf + 166324 105.596 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)))) (log (sqrt k))) 105.596 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)))) (log (sqrt k))))) 105.596 * * * * [progress]: [ 273 / 414 ] simplifiying candidate # 105.596 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 105.596 * * [simplify]: iters left: 6 (23 enodes) 105.606 * * [simplify]: iters left: 5 (104 enodes) 105.633 * * [simplify]: iters left: 4 (203 enodes) 105.711 * * [simplify]: iters left: 3 (488 enodes) 105.915 * * [simplify]: Extracting #0: cost 1 inf + 0 105.915 * * [simplify]: Extracting #1: cost 89 inf + 0 105.917 * * [simplify]: Extracting #2: cost 398 inf + 1 105.919 * * [simplify]: Extracting #3: cost 409 inf + 5575 105.931 * * [simplify]: Extracting #4: cost 224 inf + 70029 105.980 * * [simplify]: Extracting #5: cost 40 inf + 152472 106.017 * * [simplify]: Extracting #6: cost 1 inf + 167332 106.066 * * [simplify]: Extracting #7: cost 0 inf + 166347 106.125 * * [simplify]: Extracting #8: cost 0 inf + 166324 106.191 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)))) (log (sqrt k))) 106.191 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (log (* 2 PI)))) (log (sqrt k))))) 106.191 * * * * [progress]: [ 274 / 414 ] simplifiying candidate # 106.191 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 106.191 * * [simplify]: iters left: 6 (23 enodes) 106.198 * * [simplify]: iters left: 5 (105 enodes) 106.219 * * [simplify]: iters left: 4 (204 enodes) 106.297 * * [simplify]: Extracting #0: cost 1 inf + 0 106.297 * * [simplify]: Extracting #1: cost 27 inf + 0 106.298 * * [simplify]: Extracting #2: cost 119 inf + 1 106.298 * * [simplify]: Extracting #3: cost 157 inf + 6 106.299 * * [simplify]: Extracting #4: cost 146 inf + 1165 106.301 * * [simplify]: Extracting #5: cost 79 inf + 14553 106.312 * * [simplify]: Extracting #6: cost 10 inf + 40753 106.327 * * [simplify]: Extracting #7: cost 0 inf + 45019 106.344 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 106.344 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 106.344 * * * * [progress]: [ 275 / 414 ] simplifiying candidate # 106.344 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 106.344 * * [simplify]: iters left: 6 (21 enodes) 106.351 * * [simplify]: iters left: 5 (98 enodes) 106.368 * * [simplify]: iters left: 4 (203 enodes) 106.448 * * [simplify]: iters left: 3 (458 enodes) 106.618 * * [simplify]: Extracting #0: cost 1 inf + 0 106.618 * * [simplify]: Extracting #1: cost 80 inf + 0 106.619 * * [simplify]: Extracting #2: cost 346 inf + 1 106.621 * * [simplify]: Extracting #3: cost 390 inf + 1907 106.627 * * [simplify]: Extracting #4: cost 247 inf + 40981 106.662 * * [simplify]: Extracting #5: cost 44 inf + 123214 106.709 * * [simplify]: Extracting #6: cost 0 inf + 144238 106.744 * * [simplify]: Extracting #7: cost 0 inf + 143706 106.800 * * [simplify]: Extracting #8: cost 0 inf + 143705 106.855 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 106.855 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 106.855 * * * * [progress]: [ 276 / 414 ] simplifiying candidate # 106.856 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 106.856 * * [simplify]: iters left: 6 (21 enodes) 106.869 * * [simplify]: iters left: 5 (98 enodes) 106.903 * * [simplify]: iters left: 4 (203 enodes) 106.984 * * [simplify]: iters left: 3 (458 enodes) 107.196 * * [simplify]: Extracting #0: cost 1 inf + 0 107.196 * * [simplify]: Extracting #1: cost 80 inf + 0 107.198 * * [simplify]: Extracting #2: cost 346 inf + 1 107.202 * * [simplify]: Extracting #3: cost 390 inf + 1907 107.222 * * [simplify]: Extracting #4: cost 247 inf + 40981 107.268 * * [simplify]: Extracting #5: cost 44 inf + 123214 107.326 * * [simplify]: Extracting #6: cost 0 inf + 144238 107.376 * * [simplify]: Extracting #7: cost 0 inf + 143706 107.404 * * [simplify]: Extracting #8: cost 0 inf + 143705 107.433 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 107.433 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 107.433 * * * * [progress]: [ 277 / 414 ] simplifiying candidate # 107.433 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 107.433 * * [simplify]: iters left: 6 (21 enodes) 107.440 * * [simplify]: iters left: 5 (99 enodes) 107.460 * * [simplify]: iters left: 4 (204 enodes) 107.529 * * [simplify]: iters left: 3 (487 enodes) 107.738 * * [simplify]: Extracting #0: cost 1 inf + 0 107.738 * * [simplify]: Extracting #1: cost 87 inf + 0 107.747 * * [simplify]: Extracting #2: cost 385 inf + 1 107.751 * * [simplify]: Extracting #3: cost 459 inf + 373 107.762 * * [simplify]: Extracting #4: cost 355 inf + 30340 107.808 * * [simplify]: Extracting #5: cost 85 inf + 129738 107.856 * * [simplify]: Extracting #6: cost 2 inf + 168426 107.911 * * [simplify]: Extracting #7: cost 0 inf + 169477 107.951 * * [simplify]: Extracting #8: cost 0 inf + 169271 108.018 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 108.018 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 108.018 * * * * [progress]: [ 278 / 414 ] simplifiying candidate # 108.018 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 108.019 * * [simplify]: iters left: 6 (21 enodes) 108.032 * * [simplify]: iters left: 5 (98 enodes) 108.054 * * [simplify]: iters left: 4 (203 enodes) 108.108 * * [simplify]: iters left: 3 (458 enodes) 108.275 * * [simplify]: Extracting #0: cost 1 inf + 0 108.275 * * [simplify]: Extracting #1: cost 80 inf + 0 108.284 * * [simplify]: Extracting #2: cost 346 inf + 1 108.288 * * [simplify]: Extracting #3: cost 390 inf + 1907 108.302 * * [simplify]: Extracting #4: cost 247 inf + 40981 108.334 * * [simplify]: Extracting #5: cost 44 inf + 123214 108.365 * * [simplify]: Extracting #6: cost 0 inf + 144238 108.409 * * [simplify]: Extracting #7: cost 0 inf + 143706 108.438 * * [simplify]: Extracting #8: cost 0 inf + 143705 108.492 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 108.492 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 108.492 * * * * [progress]: [ 279 / 414 ] simplifiying candidate # 108.493 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 108.493 * * [simplify]: iters left: 6 (21 enodes) 108.505 * * [simplify]: iters left: 5 (98 enodes) 108.522 * * [simplify]: iters left: 4 (203 enodes) 108.580 * * [simplify]: iters left: 3 (458 enodes) 108.762 * * [simplify]: Extracting #0: cost 1 inf + 0 108.762 * * [simplify]: Extracting #1: cost 80 inf + 0 108.763 * * [simplify]: Extracting #2: cost 346 inf + 1 108.765 * * [simplify]: Extracting #3: cost 390 inf + 1907 108.772 * * [simplify]: Extracting #4: cost 247 inf + 40981 108.807 * * [simplify]: Extracting #5: cost 44 inf + 123214 108.843 * * [simplify]: Extracting #6: cost 0 inf + 144238 108.878 * * [simplify]: Extracting #7: cost 0 inf + 143706 108.912 * * [simplify]: Extracting #8: cost 0 inf + 143705 108.944 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 108.944 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 108.944 * * * * [progress]: [ 280 / 414 ] simplifiying candidate # 108.945 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 108.945 * * [simplify]: iters left: 6 (21 enodes) 108.953 * * [simplify]: iters left: 5 (99 enodes) 108.990 * * [simplify]: iters left: 4 (204 enodes) 109.058 * * [simplify]: iters left: 3 (487 enodes) 109.262 * * [simplify]: Extracting #0: cost 1 inf + 0 109.263 * * [simplify]: Extracting #1: cost 87 inf + 0 109.265 * * [simplify]: Extracting #2: cost 385 inf + 1 109.269 * * [simplify]: Extracting #3: cost 459 inf + 373 109.286 * * [simplify]: Extracting #4: cost 355 inf + 30340 109.309 * * [simplify]: Extracting #5: cost 85 inf + 129738 109.361 * * [simplify]: Extracting #6: cost 2 inf + 168426 109.414 * * [simplify]: Extracting #7: cost 0 inf + 169477 109.465 * * [simplify]: Extracting #8: cost 0 inf + 169271 109.524 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 109.524 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 109.524 * * * * [progress]: [ 281 / 414 ] simplifiying candidate # 109.524 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 109.524 * * [simplify]: iters left: 6 (19 enodes) 109.530 * * [simplify]: iters left: 5 (88 enodes) 109.545 * * [simplify]: iters left: 4 (173 enodes) 109.603 * * [simplify]: iters left: 3 (381 enodes) 109.826 * * [simplify]: Extracting #0: cost 1 inf + 0 109.826 * * [simplify]: Extracting #1: cost 61 inf + 0 109.828 * * [simplify]: Extracting #2: cost 276 inf + 1 109.832 * * [simplify]: Extracting #3: cost 333 inf + 2384 109.842 * * [simplify]: Extracting #4: cost 244 inf + 25728 109.871 * * [simplify]: Extracting #5: cost 70 inf + 89840 109.913 * * [simplify]: Extracting #6: cost 3 inf + 113958 109.948 * * [simplify]: Extracting #7: cost 0 inf + 115134 109.970 * * [simplify]: Extracting #8: cost 0 inf + 115133 110.010 * [simplify]: Simplified to (- (fma (+ (log (* 2 PI)) (log (* 2 PI))) (- 1/4 (/ k 4)) (/ (- (log n) (* (log n) k)) 2)) (log (sqrt k))) 110.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (log (* 2 PI)) (log (* 2 PI))) (- 1/4 (/ k 4)) (/ (- (log n) (* (log n) k)) 2)) (log (sqrt k))))) 110.010 * * * * [progress]: [ 282 / 414 ] simplifiying candidate # 110.010 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 110.011 * * [simplify]: iters left: 6 (19 enodes) 110.024 * * [simplify]: iters left: 5 (88 enodes) 110.055 * * [simplify]: iters left: 4 (173 enodes) 110.120 * * [simplify]: iters left: 3 (381 enodes) 110.297 * * [simplify]: Extracting #0: cost 1 inf + 0 110.298 * * [simplify]: Extracting #1: cost 61 inf + 0 110.300 * * [simplify]: Extracting #2: cost 276 inf + 1 110.302 * * [simplify]: Extracting #3: cost 333 inf + 2384 110.306 * * [simplify]: Extracting #4: cost 244 inf + 25728 110.320 * * [simplify]: Extracting #5: cost 70 inf + 89840 110.361 * * [simplify]: Extracting #6: cost 3 inf + 113958 110.406 * * [simplify]: Extracting #7: cost 0 inf + 115134 110.430 * * [simplify]: Extracting #8: cost 0 inf + 115133 110.469 * [simplify]: Simplified to (- (fma (+ (log (* 2 PI)) (log (* 2 PI))) (- 1/4 (/ k 4)) (/ (- (log n) (* (log n) k)) 2)) (log (sqrt k))) 110.469 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (log (* 2 PI)) (log (* 2 PI))) (- 1/4 (/ k 4)) (/ (- (log n) (* (log n) k)) 2)) (log (sqrt k))))) 110.469 * * * * [progress]: [ 283 / 414 ] simplifiying candidate # 110.469 * [simplify]: Simplifying (+ (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 110.470 * * [simplify]: iters left: 6 (19 enodes) 110.477 * * [simplify]: iters left: 5 (89 enodes) 110.496 * * [simplify]: iters left: 4 (174 enodes) 110.542 * * [simplify]: iters left: 3 (409 enodes) 110.742 * * [simplify]: Extracting #0: cost 1 inf + 0 110.743 * * [simplify]: Extracting #1: cost 72 inf + 0 110.743 * * [simplify]: Extracting #2: cost 327 inf + 1 110.745 * * [simplify]: Extracting #3: cost 413 inf + 191 110.748 * * [simplify]: Extracting #4: cost 341 inf + 11572 110.761 * * [simplify]: Extracting #5: cost 123 inf + 83959 110.813 * * [simplify]: Extracting #6: cost 3 inf + 141942 110.840 * * [simplify]: Extracting #7: cost 0 inf + 143580 110.888 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 110.888 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 110.888 * * * * [progress]: [ 284 / 414 ] simplifiying candidate # 110.889 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 110.889 * * [simplify]: iters left: 6 (22 enodes) 110.903 * * [simplify]: iters left: 5 (98 enodes) 110.938 * * [simplify]: iters left: 4 (202 enodes) 111.021 * * [simplify]: iters left: 3 (470 enodes) 111.274 * * [simplify]: Extracting #0: cost 1 inf + 0 111.275 * * [simplify]: Extracting #1: cost 62 inf + 0 111.276 * * [simplify]: Extracting #2: cost 246 inf + 1 111.278 * * [simplify]: Extracting #3: cost 317 inf + 79 111.288 * * [simplify]: Extracting #4: cost 282 inf + 10945 111.318 * * [simplify]: Extracting #5: cost 53 inf + 86990 111.362 * * [simplify]: Extracting #6: cost 3 inf + 108698 111.394 * * [simplify]: Extracting #7: cost 0 inf + 109129 111.417 * * [simplify]: Extracting #8: cost 0 inf + 108969 111.460 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 111.460 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 111.460 * * * * [progress]: [ 285 / 414 ] simplifiying candidate # 111.460 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 111.461 * * [simplify]: iters left: 6 (22 enodes) 111.472 * * [simplify]: iters left: 5 (98 enodes) 111.490 * * [simplify]: iters left: 4 (202 enodes) 111.558 * * [simplify]: iters left: 3 (470 enodes) 111.818 * * [simplify]: Extracting #0: cost 1 inf + 0 111.818 * * [simplify]: Extracting #1: cost 62 inf + 0 111.819 * * [simplify]: Extracting #2: cost 246 inf + 1 111.821 * * [simplify]: Extracting #3: cost 317 inf + 79 111.827 * * [simplify]: Extracting #4: cost 282 inf + 10945 111.857 * * [simplify]: Extracting #5: cost 53 inf + 86990 111.880 * * [simplify]: Extracting #6: cost 3 inf + 108698 111.904 * * [simplify]: Extracting #7: cost 0 inf + 109129 111.943 * * [simplify]: Extracting #8: cost 0 inf + 108969 111.985 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 111.985 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 111.985 * * * * [progress]: [ 286 / 414 ] simplifiying candidate # 111.986 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 111.986 * * [simplify]: iters left: 6 (22 enodes) 111.998 * * [simplify]: iters left: 5 (99 enodes) 112.033 * * [simplify]: iters left: 4 (203 enodes) 112.111 * * [simplify]: iters left: 3 (497 enodes) 112.314 * * [simplify]: Extracting #0: cost 1 inf + 0 112.314 * * [simplify]: Extracting #1: cost 69 inf + 0 112.319 * * [simplify]: Extracting #2: cost 293 inf + 1 112.321 * * [simplify]: Extracting #3: cost 367 inf + 709 112.329 * * [simplify]: Extracting #4: cost 265 inf + 33376 112.348 * * [simplify]: Extracting #5: cost 52 inf + 110948 112.373 * * [simplify]: Extracting #6: cost 1 inf + 137091 112.406 * * [simplify]: Extracting #7: cost 0 inf + 136145 112.452 * * [simplify]: Extracting #8: cost 0 inf + 135863 112.477 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (- (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 112.477 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (- (* (- 1/4 (/ k 4)) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 112.478 * * * * [progress]: [ 287 / 414 ] simplifiying candidate # 112.478 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 112.478 * * [simplify]: iters left: 6 (20 enodes) 112.491 * * [simplify]: iters left: 5 (94 enodes) 112.528 * * [simplify]: iters left: 4 (202 enodes) 112.583 * * [simplify]: iters left: 3 (477 enodes) 112.758 * * [simplify]: Extracting #0: cost 1 inf + 0 112.758 * * [simplify]: Extracting #1: cost 67 inf + 0 112.760 * * [simplify]: Extracting #2: cost 310 inf + 1 112.762 * * [simplify]: Extracting #3: cost 358 inf + 2637 112.768 * * [simplify]: Extracting #4: cost 238 inf + 34559 112.795 * * [simplify]: Extracting #5: cost 46 inf + 109268 112.828 * * [simplify]: Extracting #6: cost 0 inf + 133862 112.862 * * [simplify]: Extracting #7: cost 0 inf + 133536 112.898 * * [simplify]: Extracting #8: cost 0 inf + 133535 112.950 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 112.950 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 112.950 * * * * [progress]: [ 288 / 414 ] simplifiying candidate # 112.950 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 112.950 * * [simplify]: iters left: 6 (20 enodes) 112.957 * * [simplify]: iters left: 5 (94 enodes) 112.975 * * [simplify]: iters left: 4 (202 enodes) 113.060 * * [simplify]: iters left: 3 (477 enodes) 113.263 * * [simplify]: Extracting #0: cost 1 inf + 0 113.263 * * [simplify]: Extracting #1: cost 67 inf + 0 113.265 * * [simplify]: Extracting #2: cost 310 inf + 1 113.269 * * [simplify]: Extracting #3: cost 358 inf + 2637 113.280 * * [simplify]: Extracting #4: cost 238 inf + 34559 113.317 * * [simplify]: Extracting #5: cost 46 inf + 109268 113.343 * * [simplify]: Extracting #6: cost 0 inf + 133862 113.393 * * [simplify]: Extracting #7: cost 0 inf + 133536 113.421 * * [simplify]: Extracting #8: cost 0 inf + 133535 113.461 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 113.461 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 113.462 * * * * [progress]: [ 289 / 414 ] simplifiying candidate # 113.462 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 113.462 * * [simplify]: iters left: 6 (20 enodes) 113.474 * * [simplify]: iters left: 5 (95 enodes) 113.508 * * [simplify]: iters left: 4 (203 enodes) 113.567 * * [simplify]: Extracting #0: cost 1 inf + 0 113.568 * * [simplify]: Extracting #1: cost 23 inf + 0 113.568 * * [simplify]: Extracting #2: cost 104 inf + 0 113.568 * * [simplify]: Extracting #3: cost 154 inf + 77 113.570 * * [simplify]: Extracting #4: cost 145 inf + 1638 113.576 * * [simplify]: Extracting #5: cost 58 inf + 24966 113.589 * * [simplify]: Extracting #6: cost 7 inf + 43699 113.604 * * [simplify]: Extracting #7: cost 0 inf + 46628 113.616 * * [simplify]: Extracting #8: cost 0 inf + 46581 113.624 * [simplify]: Simplified to (+ (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* 2 PI)))) 113.624 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* 2 PI)))))) 113.624 * * * * [progress]: [ 290 / 414 ] simplifiying candidate # 113.624 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 113.625 * * [simplify]: iters left: 6 (20 enodes) 113.630 * * [simplify]: iters left: 5 (94 enodes) 113.658 * * [simplify]: iters left: 4 (202 enodes) 113.704 * * [simplify]: iters left: 3 (477 enodes) 113.874 * * [simplify]: Extracting #0: cost 1 inf + 0 113.875 * * [simplify]: Extracting #1: cost 67 inf + 0 113.876 * * [simplify]: Extracting #2: cost 310 inf + 1 113.883 * * [simplify]: Extracting #3: cost 358 inf + 2637 113.889 * * [simplify]: Extracting #4: cost 238 inf + 34559 113.919 * * [simplify]: Extracting #5: cost 46 inf + 109268 113.958 * * [simplify]: Extracting #6: cost 0 inf + 133862 113.998 * * [simplify]: Extracting #7: cost 0 inf + 133536 114.039 * * [simplify]: Extracting #8: cost 0 inf + 133535 114.068 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 114.068 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 114.068 * * * * [progress]: [ 291 / 414 ] simplifiying candidate # 114.068 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2))) 114.068 * * [simplify]: iters left: 6 (20 enodes) 114.074 * * [simplify]: iters left: 5 (94 enodes) 114.094 * * [simplify]: iters left: 4 (202 enodes) 114.176 * * [simplify]: iters left: 3 (477 enodes) 114.433 * * [simplify]: Extracting #0: cost 1 inf + 0 114.433 * * [simplify]: Extracting #1: cost 67 inf + 0 114.435 * * [simplify]: Extracting #2: cost 310 inf + 1 114.439 * * [simplify]: Extracting #3: cost 358 inf + 2637 114.451 * * [simplify]: Extracting #4: cost 238 inf + 34559 114.496 * * [simplify]: Extracting #5: cost 46 inf + 109268 114.544 * * [simplify]: Extracting #6: cost 0 inf + 133862 114.570 * * [simplify]: Extracting #7: cost 0 inf + 133536 114.624 * * [simplify]: Extracting #8: cost 0 inf + 133535 114.650 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 114.650 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 114.651 * * * * [progress]: [ 292 / 414 ] simplifiying candidate # 114.651 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2)))) 114.651 * * [simplify]: iters left: 6 (20 enodes) 114.658 * * [simplify]: iters left: 5 (95 enodes) 114.684 * * [simplify]: iters left: 4 (203 enodes) 114.746 * * [simplify]: Extracting #0: cost 1 inf + 0 114.746 * * [simplify]: Extracting #1: cost 23 inf + 0 114.746 * * [simplify]: Extracting #2: cost 104 inf + 0 114.747 * * [simplify]: Extracting #3: cost 154 inf + 77 114.747 * * [simplify]: Extracting #4: cost 145 inf + 1638 114.751 * * [simplify]: Extracting #5: cost 58 inf + 24966 114.757 * * [simplify]: Extracting #6: cost 7 inf + 43699 114.766 * * [simplify]: Extracting #7: cost 0 inf + 46628 114.782 * * [simplify]: Extracting #8: cost 0 inf + 46581 114.795 * [simplify]: Simplified to (+ (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* 2 PI)))) 114.795 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* 2 PI)))))) 114.795 * * * * [progress]: [ 293 / 414 ] simplifiying candidate # 114.795 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 114.796 * * [simplify]: iters left: 6 (19 enodes) 114.802 * * [simplify]: iters left: 5 (86 enodes) 114.827 * * [simplify]: iters left: 4 (174 enodes) 114.886 * * [simplify]: iters left: 3 (400 enodes) 115.051 * * [simplify]: Extracting #0: cost 1 inf + 0 115.052 * * [simplify]: Extracting #1: cost 49 inf + 0 115.053 * * [simplify]: Extracting #2: cost 252 inf + 1 115.056 * * [simplify]: Extracting #3: cost 313 inf + 2341 115.065 * * [simplify]: Extracting #4: cost 216 inf + 26367 115.090 * * [simplify]: Extracting #5: cost 81 inf + 74520 115.108 * * [simplify]: Extracting #6: cost 22 inf + 98744 115.128 * * [simplify]: Extracting #7: cost 0 inf + 109779 115.149 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))) 115.149 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))))) 115.149 * * * * [progress]: [ 294 / 414 ] simplifiying candidate # 115.149 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 115.149 * * [simplify]: iters left: 6 (19 enodes) 115.155 * * [simplify]: iters left: 5 (86 enodes) 115.172 * * [simplify]: iters left: 4 (174 enodes) 115.227 * * [simplify]: iters left: 3 (400 enodes) 115.418 * * [simplify]: Extracting #0: cost 1 inf + 0 115.418 * * [simplify]: Extracting #1: cost 49 inf + 0 115.419 * * [simplify]: Extracting #2: cost 252 inf + 1 115.421 * * [simplify]: Extracting #3: cost 313 inf + 2341 115.425 * * [simplify]: Extracting #4: cost 216 inf + 26367 115.456 * * [simplify]: Extracting #5: cost 81 inf + 74520 115.492 * * [simplify]: Extracting #6: cost 22 inf + 98744 115.534 * * [simplify]: Extracting #7: cost 0 inf + 109779 115.576 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))) 115.577 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))))) 115.577 * * * * [progress]: [ 295 / 414 ] simplifiying candidate # 115.577 * [simplify]: Simplifying (+ (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 115.577 * * [simplify]: iters left: 6 (19 enodes) 115.583 * * [simplify]: iters left: 5 (87 enodes) 115.601 * * [simplify]: iters left: 4 (175 enodes) 115.663 * * [simplify]: iters left: 3 (420 enodes) 115.853 * * [simplify]: Extracting #0: cost 1 inf + 0 115.854 * * [simplify]: Extracting #1: cost 56 inf + 0 115.855 * * [simplify]: Extracting #2: cost 298 inf + 1 115.858 * * [simplify]: Extracting #3: cost 388 inf + 261 115.866 * * [simplify]: Extracting #4: cost 299 inf + 22694 115.892 * * [simplify]: Extracting #5: cost 60 inf + 107996 115.916 * * [simplify]: Extracting #6: cost 3 inf + 133157 115.952 * * [simplify]: Extracting #7: cost 0 inf + 134604 116.003 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 116.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 116.003 * * * * [progress]: [ 296 / 414 ] simplifiying candidate # 116.004 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 116.004 * * [simplify]: iters left: 6 (18 enodes) 116.014 * * [simplify]: iters left: 5 (82 enodes) 116.030 * * [simplify]: iters left: 4 (172 enodes) 116.075 * * [simplify]: iters left: 3 (411 enodes) 116.290 * * [simplify]: Extracting #0: cost 1 inf + 0 116.291 * * [simplify]: Extracting #1: cost 39 inf + 0 116.292 * * [simplify]: Extracting #2: cost 174 inf + 0 116.293 * * [simplify]: Extracting #3: cost 251 inf + 922 116.299 * * [simplify]: Extracting #4: cost 208 inf + 14079 116.319 * * [simplify]: Extracting #5: cost 73 inf + 63190 116.354 * * [simplify]: Extracting #6: cost 2 inf + 105629 116.389 * * [simplify]: Extracting #7: cost 0 inf + 106402 116.429 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))) 116.429 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))))) 116.429 * * * * [progress]: [ 297 / 414 ] simplifiying candidate # 116.430 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (log n) (/ (- 1 k) 2))) 116.430 * * [simplify]: iters left: 6 (18 enodes) 116.440 * * [simplify]: iters left: 5 (82 enodes) 116.455 * * [simplify]: iters left: 4 (172 enodes) 116.508 * * [simplify]: iters left: 3 (411 enodes) 116.700 * * [simplify]: Extracting #0: cost 1 inf + 0 116.701 * * [simplify]: Extracting #1: cost 39 inf + 0 116.701 * * [simplify]: Extracting #2: cost 174 inf + 0 116.702 * * [simplify]: Extracting #3: cost 251 inf + 922 116.705 * * [simplify]: Extracting #4: cost 208 inf + 14079 116.715 * * [simplify]: Extracting #5: cost 73 inf + 63190 116.733 * * [simplify]: Extracting #6: cost 2 inf + 105629 116.751 * * [simplify]: Extracting #7: cost 0 inf + 106402 116.769 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))) 116.769 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))))) 116.769 * * * * [progress]: [ 298 / 414 ] simplifiying candidate # 116.769 * [simplify]: Simplifying (+ (log (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (pow n (/ (- 1 k) 2)))) 116.770 * * [simplify]: iters left: 6 (18 enodes) 116.776 * * [simplify]: iters left: 5 (83 enodes) 116.791 * * [simplify]: iters left: 4 (172 enodes) 116.834 * * [simplify]: iters left: 3 (422 enodes) 116.999 * * [simplify]: Extracting #0: cost 1 inf + 0 116.999 * * [simplify]: Extracting #1: cost 45 inf + 0 117.000 * * [simplify]: Extracting #2: cost 202 inf + 0 117.001 * * [simplify]: Extracting #3: cost 288 inf + 263 117.007 * * [simplify]: Extracting #4: cost 243 inf + 14480 117.017 * * [simplify]: Extracting #5: cost 116 inf + 54796 117.048 * * [simplify]: Extracting #6: cost 23 inf + 106081 117.090 * * [simplify]: Extracting #7: cost 0 inf + 122331 117.130 * * [simplify]: Extracting #8: cost 0 inf + 122091 117.173 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 117.173 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 117.174 * * * * [progress]: [ 299 / 414 ] simplifiying candidate # 117.174 * * * * [progress]: [ 300 / 414 ] simplifiying candidate # 117.174 * * * * [progress]: [ 301 / 414 ] simplifiying candidate # 117.174 * [simplify]: Simplifying (* (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 117.175 * * [simplify]: iters left: 6 (24 enodes) 117.189 * * [simplify]: iters left: 5 (110 enodes) 117.236 * * [simplify]: iters left: 4 (316 enodes) 117.478 * * [simplify]: Extracting #0: cost 1 inf + 0 117.478 * * [simplify]: Extracting #1: cost 59 inf + 0 117.479 * * [simplify]: Extracting #2: cost 385 inf + 1 117.481 * * [simplify]: Extracting #3: cost 464 inf + 1150 117.484 * * [simplify]: Extracting #4: cost 446 inf + 2516 117.491 * * [simplify]: Extracting #5: cost 326 inf + 64414 117.536 * * [simplify]: Extracting #6: cost 74 inf + 245799 117.622 * * [simplify]: Extracting #7: cost 0 inf + 300835 117.674 * * [simplify]: Extracting #8: cost 0 inf + 298350 117.730 * * [simplify]: Extracting #9: cost 0 inf + 298309 117.798 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (* (pow n (/ (- 1 k) 4)) (/ (* (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))) (* k (sqrt k))))) 117.799 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow n (/ (- 1 k) 4)) (* (pow n (/ (- 1 k) 4)) (/ (* (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (* (* (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (pow (* PI 2) (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4))) (pow n (/ (- 1 k) 4)))) (* k (sqrt k))))))) 117.799 * * * * [progress]: [ 302 / 414 ] simplifiying candidate # 117.800 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 117.800 * * [simplify]: iters left: 6 (22 enodes) 117.808 * * [simplify]: iters left: 5 (111 enodes) 117.855 * * [simplify]: iters left: 4 (310 enodes) 118.047 * * [simplify]: Extracting #0: cost 1 inf + 0 118.048 * * [simplify]: Extracting #1: cost 66 inf + 0 118.049 * * [simplify]: Extracting #2: cost 337 inf + 0 118.053 * * [simplify]: Extracting #3: cost 389 inf + 615 118.061 * * [simplify]: Extracting #4: cost 299 inf + 46521 118.123 * * [simplify]: Extracting #5: cost 57 inf + 237035 118.224 * * [simplify]: Extracting #6: cost 0 inf + 281035 118.300 * * [simplify]: Extracting #7: cost 0 inf + 277912 118.452 * * [simplify]: Extracting #8: cost 0 inf + 276973 118.552 * * [simplify]: Extracting #9: cost 0 inf + 276896 118.650 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (* (/ (* (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) (sqrt k)) (pow n (/ (- 1 k) 2))))) 118.650 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (* (/ (* (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k))) (sqrt k)) (pow n (/ (- 1 k) 2))))))) 118.651 * * * * [progress]: [ 303 / 414 ] simplifiying candidate # 118.651 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 118.652 * * [simplify]: iters left: 6 (22 enodes) 118.665 * * [simplify]: iters left: 5 (111 enodes) 118.708 * * [simplify]: iters left: 4 (341 enodes) 118.993 * * [simplify]: Extracting #0: cost 1 inf + 0 118.993 * * [simplify]: Extracting #1: cost 70 inf + 0 118.995 * * [simplify]: Extracting #2: cost 386 inf + 1 118.998 * * [simplify]: Extracting #3: cost 442 inf + 745 119.018 * * [simplify]: Extracting #4: cost 322 inf + 68812 119.078 * * [simplify]: Extracting #5: cost 61 inf + 264220 119.137 * * [simplify]: Extracting #6: cost 1 inf + 311129 119.203 * * [simplify]: Extracting #7: cost 0 inf + 308949 119.277 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 2)) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 119.277 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow n (/ (- 1 k) 2)) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))))) 119.277 * * * * [progress]: [ 304 / 414 ] simplifiying candidate # 119.278 * [simplify]: Simplifying (* (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 119.278 * * [simplify]: iters left: 6 (20 enodes) 119.291 * * [simplify]: iters left: 5 (100 enodes) 119.335 * * [simplify]: iters left: 4 (297 enodes) 119.620 * * [simplify]: Extracting #0: cost 1 inf + 0 119.620 * * [simplify]: Extracting #1: cost 73 inf + 0 119.622 * * [simplify]: Extracting #2: cost 365 inf + 1 119.626 * * [simplify]: Extracting #3: cost 400 inf + 827 119.630 * * [simplify]: Extracting #4: cost 375 inf + 6749 119.654 * * [simplify]: Extracting #5: cost 228 inf + 96437 119.704 * * [simplify]: Extracting #6: cost 28 inf + 252930 119.792 * * [simplify]: Extracting #7: cost 0 inf + 273315 119.846 * * [simplify]: Extracting #8: cost 0 inf + 272634 119.909 * * [simplify]: Extracting #9: cost 0 inf + 272514 119.957 * [simplify]: Simplified to (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))))) 119.957 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow n (/ (- 1 k) 2))))))) 119.957 * * * * [progress]: [ 305 / 414 ] simplifiying candidate # 119.957 * * * * [progress]: [ 306 / 414 ] simplifiying candidate # 119.957 * * * * [progress]: [ 307 / 414 ] simplifiying candidate # 119.957 * * * * [progress]: [ 308 / 414 ] simplifiying candidate # 119.957 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 119.957 * * [simplify]: iters left: 6 (12 enodes) 119.964 * * [simplify]: iters left: 5 (54 enodes) 119.990 * * [simplify]: iters left: 4 (119 enodes) 120.061 * * [simplify]: iters left: 3 (307 enodes) 120.263 * * [simplify]: Extracting #0: cost 1 inf + 0 120.263 * * [simplify]: Extracting #1: cost 50 inf + 0 120.264 * * [simplify]: Extracting #2: cost 171 inf + 1 120.266 * * [simplify]: Extracting #3: cost 173 inf + 8 120.267 * * [simplify]: Extracting #4: cost 149 inf + 7429 120.274 * * [simplify]: Extracting #5: cost 85 inf + 38053 120.288 * * [simplify]: Extracting #6: cost 9 inf + 88299 120.306 * * [simplify]: Extracting #7: cost 0 inf + 95323 120.324 * [simplify]: Simplified to (* (sqrt (* PI 2)) (sqrt n)) 120.324 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* PI 2)) (sqrt n)) (* (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 120.324 * [simplify]: Simplifying (* (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 120.324 * * [simplify]: iters left: 6 (13 enodes) 120.331 * * [simplify]: iters left: 5 (55 enodes) 120.351 * * [simplify]: iters left: 4 (118 enodes) 120.386 * * [simplify]: iters left: 3 (346 enodes) 120.655 * * [simplify]: Extracting #0: cost 1 inf + 0 120.655 * * [simplify]: Extracting #1: cost 72 inf + 0 120.657 * * [simplify]: Extracting #2: cost 304 inf + 0 120.660 * * [simplify]: Extracting #3: cost 337 inf + 634 120.665 * * [simplify]: Extracting #4: cost 291 inf + 16970 120.695 * * [simplify]: Extracting #5: cost 108 inf + 148140 120.751 * * [simplify]: Extracting #6: cost 2 inf + 232411 120.787 * * [simplify]: Extracting #7: cost 0 inf + 224648 120.822 * * [simplify]: Extracting #8: cost 0 inf + 223524 120.855 * [simplify]: Simplified to (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))) 120.855 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* PI 2)) (sqrt n)) (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))))) 120.855 * * * * [progress]: [ 309 / 414 ] simplifiying candidate # 120.855 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 120.855 * * [simplify]: iters left: 6 (15 enodes) 120.865 * * [simplify]: iters left: 5 (67 enodes) 120.882 * * [simplify]: iters left: 4 (155 enodes) 120.943 * * [simplify]: iters left: 3 (450 enodes) 121.298 * * [simplify]: Extracting #0: cost 1 inf + 0 121.298 * * [simplify]: Extracting #1: cost 74 inf + 0 121.299 * * [simplify]: Extracting #2: cost 303 inf + 1 121.301 * * [simplify]: Extracting #3: cost 309 inf + 1306 121.303 * * [simplify]: Extracting #4: cost 261 inf + 18689 121.313 * * [simplify]: Extracting #5: cost 116 inf + 98681 121.334 * * [simplify]: Extracting #6: cost 3 inf + 176426 121.354 * * [simplify]: Extracting #7: cost 0 inf + 178977 121.379 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) 121.379 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 121.380 * [simplify]: Simplifying (* (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 121.380 * * [simplify]: iters left: 6 (11 enodes) 121.386 * * [simplify]: iters left: 5 (47 enodes) 121.402 * * [simplify]: iters left: 4 (100 enodes) 121.440 * * [simplify]: iters left: 3 (275 enodes) 121.550 * * [simplify]: Extracting #0: cost 1 inf + 0 121.551 * * [simplify]: Extracting #1: cost 69 inf + 0 121.551 * * [simplify]: Extracting #2: cost 252 inf + 0 121.553 * * [simplify]: Extracting #3: cost 286 inf + 3 121.554 * * [simplify]: Extracting #4: cost 260 inf + 5404 121.559 * * [simplify]: Extracting #5: cost 157 inf + 59743 121.581 * * [simplify]: Extracting #6: cost 17 inf + 167167 121.599 * * [simplify]: Extracting #7: cost 0 inf + 173959 121.635 * [simplify]: Simplified to (* (pow n (/ k 2)) (pow (* 2 PI) (* 1/2 k))) 121.635 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* 2 PI)) (/ (sqrt n) (sqrt k))) (* (pow n (/ k 2)) (pow (* 2 PI) (* 1/2 k))))) 121.635 * * * * [progress]: [ 310 / 414 ] simplifiying candidate # 121.636 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 121.636 * * [simplify]: iters left: 6 (17 enodes) 121.648 * * [simplify]: iters left: 5 (78 enodes) 121.683 * * [simplify]: iters left: 4 (178 enodes) 121.775 * * [simplify]: Extracting #0: cost 1 inf + 0 121.775 * * [simplify]: Extracting #1: cost 32 inf + 0 121.776 * * [simplify]: Extracting #2: cost 111 inf + 1 121.777 * * [simplify]: Extracting #3: cost 131 inf + 169 121.778 * * [simplify]: Extracting #4: cost 122 inf + 3799 121.780 * * [simplify]: Extracting #5: cost 91 inf + 12942 121.787 * * [simplify]: Extracting #6: cost 39 inf + 35179 121.797 * * [simplify]: Extracting #7: cost 6 inf + 53910 121.809 * * [simplify]: Extracting #8: cost 0 inf + 57920 121.821 * [simplify]: Simplified to (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) 121.822 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 121.822 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 121.822 * * [simplify]: iters left: 6 (12 enodes) 121.829 * * [simplify]: iters left: 5 (49 enodes) 121.844 * * [simplify]: iters left: 4 (89 enodes) 121.879 * * [simplify]: iters left: 3 (220 enodes) 122.014 * * [simplify]: Extracting #0: cost 1 inf + 0 122.014 * * [simplify]: Extracting #1: cost 49 inf + 0 122.014 * * [simplify]: Extracting #2: cost 179 inf + 0 122.015 * * [simplify]: Extracting #3: cost 204 inf + 85 122.016 * * [simplify]: Extracting #4: cost 176 inf + 10025 122.022 * * [simplify]: Extracting #5: cost 90 inf + 50900 122.037 * * [simplify]: Extracting #6: cost 7 inf + 109227 122.049 * * [simplify]: Extracting #7: cost 0 inf + 111250 122.061 * * [simplify]: Extracting #8: cost 0 inf + 111170 122.073 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 122.073 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 122.074 * * * * [progress]: [ 311 / 414 ] simplifiying candidate # 122.074 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ 1 2))) 122.074 * * [simplify]: iters left: 6 (19 enodes) 122.080 * * [simplify]: iters left: 5 (87 enodes) 122.109 * * [simplify]: iters left: 4 (203 enodes) 122.189 * * [simplify]: Extracting #0: cost 1 inf + 0 122.190 * * [simplify]: Extracting #1: cost 50 inf + 0 122.190 * * [simplify]: Extracting #2: cost 172 inf + 1 122.191 * * [simplify]: Extracting #3: cost 193 inf + 423 122.192 * * [simplify]: Extracting #4: cost 167 inf + 8216 122.196 * * [simplify]: Extracting #5: cost 67 inf + 51959 122.206 * * [simplify]: Extracting #6: cost 4 inf + 89820 122.216 * * [simplify]: Extracting #7: cost 0 inf + 91773 122.232 * * [simplify]: Extracting #8: cost 0 inf + 91539 122.242 * [simplify]: Simplified to (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) 122.242 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 122.242 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 122.242 * * [simplify]: iters left: 6 (10 enodes) 122.245 * * [simplify]: iters left: 5 (40 enodes) 122.252 * * [simplify]: iters left: 4 (73 enodes) 122.276 * * [simplify]: iters left: 3 (167 enodes) 122.324 * * [simplify]: Extracting #0: cost 1 inf + 0 122.324 * * [simplify]: Extracting #1: cost 27 inf + 0 122.324 * * [simplify]: Extracting #2: cost 111 inf + 0 122.325 * * [simplify]: Extracting #3: cost 138 inf + 2 122.325 * * [simplify]: Extracting #4: cost 124 inf + 1675 122.331 * * [simplify]: Extracting #5: cost 60 inf + 23565 122.340 * * [simplify]: Extracting #6: cost 2 inf + 62915 122.347 * * [simplify]: Extracting #7: cost 0 inf + 64109 122.354 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 122.354 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 122.354 * * * * [progress]: [ 312 / 414 ] simplifiying candidate # 122.355 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 122.355 * * [simplify]: iters left: 6 (17 enodes) 122.360 * * [simplify]: iters left: 5 (77 enodes) 122.389 * * [simplify]: iters left: 4 (168 enodes) 122.465 * * [simplify]: iters left: 3 (485 enodes) 123.191 * * [simplify]: Extracting #0: cost 1 inf + 0 123.191 * * [simplify]: Extracting #1: cost 81 inf + 0 123.192 * * [simplify]: Extracting #2: cost 354 inf + 1 123.194 * * [simplify]: Extracting #3: cost 386 inf + 48 123.196 * * [simplify]: Extracting #4: cost 374 inf + 7635 123.201 * * [simplify]: Extracting #5: cost 255 inf + 65038 123.226 * * [simplify]: Extracting #6: cost 34 inf + 226724 123.262 * * [simplify]: Extracting #7: cost 0 inf + 255233 123.315 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) 123.315 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 123.316 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 123.316 * * [simplify]: iters left: 6 (12 enodes) 123.319 * * [simplify]: iters left: 5 (49 enodes) 123.327 * * [simplify]: iters left: 4 (89 enodes) 123.346 * * [simplify]: iters left: 3 (220 enodes) 123.460 * * [simplify]: Extracting #0: cost 1 inf + 0 123.460 * * [simplify]: Extracting #1: cost 49 inf + 0 123.461 * * [simplify]: Extracting #2: cost 179 inf + 0 123.462 * * [simplify]: Extracting #3: cost 204 inf + 85 123.463 * * [simplify]: Extracting #4: cost 176 inf + 10025 123.473 * * [simplify]: Extracting #5: cost 90 inf + 50900 123.495 * * [simplify]: Extracting #6: cost 7 inf + 109227 123.512 * * [simplify]: Extracting #7: cost 0 inf + 111250 123.526 * * [simplify]: Extracting #8: cost 0 inf + 111170 123.539 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 123.539 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (sqrt n)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 123.539 * * * * [progress]: [ 313 / 414 ] simplifiying candidate # 123.540 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 123.540 * * [simplify]: iters left: 6 (19 enodes) 123.552 * * [simplify]: iters left: 5 (87 enodes) 123.589 * * [simplify]: iters left: 4 (198 enodes) 123.673 * * [simplify]: Extracting #0: cost 1 inf + 0 123.673 * * [simplify]: Extracting #1: cost 33 inf + 0 123.673 * * [simplify]: Extracting #2: cost 155 inf + 0 123.675 * * [simplify]: Extracting #3: cost 186 inf + 217 123.677 * * [simplify]: Extracting #4: cost 150 inf + 10076 123.689 * * [simplify]: Extracting #5: cost 43 inf + 62587 123.707 * * [simplify]: Extracting #6: cost 1 inf + 86145 123.726 * * [simplify]: Extracting #7: cost 0 inf + 86365 123.745 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) 123.745 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 123.745 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 123.745 * * [simplify]: iters left: 6 (10 enodes) 123.748 * * [simplify]: iters left: 5 (40 enodes) 123.757 * * [simplify]: iters left: 4 (73 enodes) 123.771 * * [simplify]: iters left: 3 (167 enodes) 123.841 * * [simplify]: Extracting #0: cost 1 inf + 0 123.841 * * [simplify]: Extracting #1: cost 27 inf + 0 123.842 * * [simplify]: Extracting #2: cost 111 inf + 0 123.843 * * [simplify]: Extracting #3: cost 138 inf + 2 123.844 * * [simplify]: Extracting #4: cost 124 inf + 1675 123.849 * * [simplify]: Extracting #5: cost 60 inf + 23565 123.862 * * [simplify]: Extracting #6: cost 2 inf + 62915 123.876 * * [simplify]: Extracting #7: cost 0 inf + 64109 123.891 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 123.891 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (sqrt n)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 123.892 * * * * [progress]: [ 314 / 414 ] simplifiying candidate # 123.892 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) 123.892 * * [simplify]: iters left: 6 (15 enodes) 123.902 * * [simplify]: iters left: 5 (68 enodes) 123.932 * * [simplify]: iters left: 4 (148 enodes) 124.000 * * [simplify]: iters left: 3 (358 enodes) 124.249 * * [simplify]: Extracting #0: cost 1 inf + 0 124.249 * * [simplify]: Extracting #1: cost 55 inf + 0 124.251 * * [simplify]: Extracting #2: cost 197 inf + 1 124.252 * * [simplify]: Extracting #3: cost 231 inf + 261 124.255 * * [simplify]: Extracting #4: cost 223 inf + 4867 124.259 * * [simplify]: Extracting #5: cost 178 inf + 19604 124.278 * * [simplify]: Extracting #6: cost 36 inf + 103346 124.309 * * [simplify]: Extracting #7: cost 0 inf + 131774 124.328 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) 124.328 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) (* (sqrt k) (pow n (/ k 2))))) 124.328 * [simplify]: Simplifying (* (sqrt k) (pow n (/ k 2))) 124.328 * * [simplify]: iters left: 5 (7 enodes) 124.330 * * [simplify]: iters left: 4 (25 enodes) 124.334 * * [simplify]: iters left: 3 (41 enodes) 124.341 * * [simplify]: iters left: 2 (79 enodes) 124.362 * * [simplify]: iters left: 1 (180 enodes) 124.434 * * [simplify]: Extracting #0: cost 1 inf + 0 124.434 * * [simplify]: Extracting #1: cost 23 inf + 0 124.434 * * [simplify]: Extracting #2: cost 86 inf + 0 124.435 * * [simplify]: Extracting #3: cost 107 inf + 45 124.436 * * [simplify]: Extracting #4: cost 97 inf + 1387 124.437 * * [simplify]: Extracting #5: cost 67 inf + 4932 124.442 * * [simplify]: Extracting #6: cost 24 inf + 26374 124.449 * * [simplify]: Extracting #7: cost 0 inf + 42198 124.458 * * [simplify]: Extracting #8: cost 0 inf + 41565 124.466 * [simplify]: Simplified to (* (pow n (/ k 2)) (sqrt k)) 124.466 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (sqrt n)) (* (pow n (/ k 2)) (sqrt k)))) 124.467 * * * * [progress]: [ 315 / 414 ] simplifiying candidate # 124.467 * * * * [progress]: [ 316 / 414 ] simplifiying candidate # 124.467 * [simplify]: Simplifying (pow (cbrt n) (/ (- 1 k) 2)) 124.467 * * [simplify]: iters left: 5 (8 enodes) 124.472 * * [simplify]: iters left: 4 (35 enodes) 124.482 * * [simplify]: iters left: 3 (56 enodes) 124.498 * * [simplify]: iters left: 2 (89 enodes) 124.533 * * [simplify]: iters left: 1 (175 enodes) 124.600 * * [simplify]: Extracting #0: cost 1 inf + 0 124.601 * * [simplify]: Extracting #1: cost 13 inf + 0 124.601 * * [simplify]: Extracting #2: cost 53 inf + 1 124.601 * * [simplify]: Extracting #3: cost 83 inf + 87 124.603 * * [simplify]: Extracting #4: cost 60 inf + 3114 124.606 * * [simplify]: Extracting #5: cost 14 inf + 15998 124.613 * * [simplify]: Extracting #6: cost 1 inf + 22891 124.619 * * [simplify]: Extracting #7: cost 0 inf + 23143 124.626 * [simplify]: Simplified to (pow (cbrt n) (/ (- 1 k) 2)) 124.626 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2)))) 124.626 * * * * [progress]: [ 317 / 414 ] simplifiying candidate # 124.627 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 124.627 * * [simplify]: iters left: 5 (8 enodes) 124.632 * * [simplify]: iters left: 4 (35 enodes) 124.643 * * [simplify]: iters left: 3 (56 enodes) 124.665 * * [simplify]: iters left: 2 (89 enodes) 124.700 * * [simplify]: iters left: 1 (175 enodes) 124.760 * * [simplify]: Extracting #0: cost 1 inf + 0 124.760 * * [simplify]: Extracting #1: cost 13 inf + 0 124.760 * * [simplify]: Extracting #2: cost 53 inf + 1 124.760 * * [simplify]: Extracting #3: cost 83 inf + 47 124.761 * * [simplify]: Extracting #4: cost 60 inf + 2914 124.763 * * [simplify]: Extracting #5: cost 14 inf + 15118 124.766 * * [simplify]: Extracting #6: cost 1 inf + 21571 124.769 * * [simplify]: Extracting #7: cost 0 inf + 21783 124.772 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 124.772 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) 124.773 * * * * [progress]: [ 318 / 414 ] simplifiying candidate # 124.773 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 124.773 * * [simplify]: iters left: 5 (7 enodes) 124.777 * * [simplify]: iters left: 4 (32 enodes) 124.786 * * [simplify]: iters left: 3 (57 enodes) 124.803 * * [simplify]: iters left: 2 (88 enodes) 124.834 * * [simplify]: iters left: 1 (156 enodes) 124.870 * * [simplify]: Extracting #0: cost 1 inf + 0 124.870 * * [simplify]: Extracting #1: cost 13 inf + 0 124.870 * * [simplify]: Extracting #2: cost 49 inf + 2 124.870 * * [simplify]: Extracting #3: cost 80 inf + 6 124.871 * * [simplify]: Extracting #4: cost 58 inf + 1840 124.873 * * [simplify]: Extracting #5: cost 22 inf + 9206 124.878 * * [simplify]: Extracting #6: cost 1 inf + 20886 124.886 * * [simplify]: Extracting #7: cost 0 inf + 21301 124.893 * * [simplify]: Extracting #8: cost 0 inf + 21130 124.899 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 124.899 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow 1 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) 124.900 * * * * [progress]: [ 319 / 414 ] simplifiying candidate # 124.900 * [simplify]: Simplifying (cbrt (pow n (/ (- 1 k) 2))) 124.900 * * [simplify]: iters left: 6 (8 enodes) 124.905 * * [simplify]: iters left: 5 (35 enodes) 124.917 * * [simplify]: iters left: 4 (56 enodes) 124.937 * * [simplify]: iters left: 3 (89 enodes) 124.972 * * [simplify]: iters left: 2 (175 enodes) 125.012 * * [simplify]: iters left: 1 (339 enodes) 125.122 * * [simplify]: Extracting #0: cost 1 inf + 0 125.122 * * [simplify]: Extracting #1: cost 3 inf + 0 125.122 * * [simplify]: Extracting #2: cost 28 inf + 0 125.122 * * [simplify]: Extracting #3: cost 95 inf + 2 125.123 * * [simplify]: Extracting #4: cost 141 inf + 8 125.124 * * [simplify]: Extracting #5: cost 135 inf + 635 125.125 * * [simplify]: Extracting #6: cost 87 inf + 8462 125.134 * * [simplify]: Extracting #7: cost 23 inf + 36883 125.151 * * [simplify]: Extracting #8: cost 0 inf + 53813 125.167 * * [simplify]: Extracting #9: cost 0 inf + 52887 125.183 * * [simplify]: Extracting #10: cost 0 inf + 52807 125.200 * [simplify]: Simplified to (cbrt (pow n (* 1/2 (- 1 k)))) 125.200 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (cbrt (pow n (* 1/2 (- 1 k)))))) 125.200 * * * * [progress]: [ 320 / 414 ] simplifiying candidate # 125.200 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 125.200 * * [simplify]: iters left: 6 (8 enodes) 125.205 * * [simplify]: iters left: 5 (35 enodes) 125.220 * * [simplify]: iters left: 4 (57 enodes) 125.230 * * [simplify]: iters left: 3 (90 enodes) 125.249 * * [simplify]: iters left: 2 (176 enodes) 125.283 * * [simplify]: iters left: 1 (339 enodes) 125.380 * * [simplify]: Extracting #0: cost 1 inf + 0 125.380 * * [simplify]: Extracting #1: cost 4 inf + 0 125.380 * * [simplify]: Extracting #2: cost 32 inf + 0 125.381 * * [simplify]: Extracting #3: cost 108 inf + 2 125.382 * * [simplify]: Extracting #4: cost 136 inf + 9 125.383 * * [simplify]: Extracting #5: cost 134 inf + 182 125.387 * * [simplify]: Extracting #6: cost 71 inf + 9517 125.394 * * [simplify]: Extracting #7: cost 38 inf + 21671 125.408 * * [simplify]: Extracting #8: cost 9 inf + 43354 125.424 * * [simplify]: Extracting #9: cost 0 inf + 50508 125.440 * * [simplify]: Extracting #10: cost 0 inf + 50376 125.456 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 125.456 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt (pow n (/ (- 1 k) 2)))) (sqrt (pow n (/ (- 1 k) 2))))) 125.456 * * * * [progress]: [ 321 / 414 ] simplifiying candidate # 125.456 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 125.456 * * [simplify]: iters left: 5 (7 enodes) 125.461 * * [simplify]: iters left: 4 (32 enodes) 125.473 * * [simplify]: iters left: 3 (57 enodes) 125.492 * * [simplify]: iters left: 2 (88 enodes) 125.523 * * [simplify]: iters left: 1 (156 enodes) 125.556 * * [simplify]: Extracting #0: cost 1 inf + 0 125.556 * * [simplify]: Extracting #1: cost 13 inf + 0 125.556 * * [simplify]: Extracting #2: cost 49 inf + 2 125.557 * * [simplify]: Extracting #3: cost 80 inf + 6 125.558 * * [simplify]: Extracting #4: cost 58 inf + 1840 125.561 * * [simplify]: Extracting #5: cost 22 inf + 9206 125.567 * * [simplify]: Extracting #6: cost 1 inf + 20886 125.573 * * [simplify]: Extracting #7: cost 0 inf + 21301 125.579 * * [simplify]: Extracting #8: cost 0 inf + 21130 125.585 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 125.585 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 1) (pow n (/ (- 1 k) 2)))) 125.585 * * * * [progress]: [ 322 / 414 ] simplifiying candidate # 125.585 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 125.585 * * [simplify]: iters left: 6 (8 enodes) 125.591 * * [simplify]: iters left: 5 (38 enodes) 125.605 * * [simplify]: iters left: 4 (66 enodes) 125.626 * * [simplify]: iters left: 3 (110 enodes) 125.647 * * [simplify]: iters left: 2 (200 enodes) 125.700 * * [simplify]: iters left: 1 (403 enodes) 125.871 * * [simplify]: Extracting #0: cost 1 inf + 0 125.871 * * [simplify]: Extracting #1: cost 26 inf + 0 125.872 * * [simplify]: Extracting #2: cost 100 inf + 2 125.873 * * [simplify]: Extracting #3: cost 164 inf + 10 125.875 * * [simplify]: Extracting #4: cost 163 inf + 641 125.880 * * [simplify]: Extracting #5: cost 72 inf + 12998 125.892 * * [simplify]: Extracting #6: cost 25 inf + 35040 125.908 * * [simplify]: Extracting #7: cost 0 inf + 54806 125.916 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 125.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (/ (- 1 k) 2) 2))) (pow n (- 1/4 (/ k 4))))) 125.916 * * * * [progress]: [ 323 / 414 ] simplifiying candidate # 125.916 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 125.916 * * [simplify]: iters left: 6 (12 enodes) 125.920 * * [simplify]: iters left: 5 (54 enodes) 125.931 * * [simplify]: iters left: 4 (92 enodes) 125.959 * * [simplify]: iters left: 3 (178 enodes) 126.010 * * [simplify]: iters left: 2 (378 enodes) 126.171 * * [simplify]: Extracting #0: cost 1 inf + 0 126.171 * * [simplify]: Extracting #1: cost 42 inf + 0 126.172 * * [simplify]: Extracting #2: cost 128 inf + 1 126.172 * * [simplify]: Extracting #3: cost 178 inf + 127 126.174 * * [simplify]: Extracting #4: cost 157 inf + 5618 126.179 * * [simplify]: Extracting #5: cost 68 inf + 44573 126.201 * * [simplify]: Extracting #6: cost 2 inf + 81241 126.225 * * [simplify]: Extracting #7: cost 0 inf + 79751 126.249 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt k)) 126.249 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 126.249 * * * * [progress]: [ 324 / 414 ] simplifiying candidate # 126.249 * [simplify]: Simplifying (pow n (/ k 2)) 126.249 * * [simplify]: iters left: 3 (5 enodes) 126.252 * * [simplify]: iters left: 2 (18 enodes) 126.259 * * [simplify]: iters left: 1 (30 enodes) 126.270 * * [simplify]: Extracting #0: cost 1 inf + 0 126.270 * * [simplify]: Extracting #1: cost 10 inf + 0 126.270 * * [simplify]: Extracting #2: cost 23 inf + 1 126.270 * * [simplify]: Extracting #3: cost 23 inf + 46 126.270 * * [simplify]: Extracting #4: cost 11 inf + 1346 126.271 * * [simplify]: Extracting #5: cost 1 inf + 3938 126.272 * * [simplify]: Extracting #6: cost 0 inf + 4111 126.273 * * [simplify]: Extracting #7: cost 0 inf + 4070 126.274 * [simplify]: Simplified to (pow n (/ k 2)) 126.274 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ 1 2))) (pow n (/ k 2)))) 126.274 * * * * [progress]: [ 325 / 414 ] simplifiying candidate # 126.274 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 126.275 * * [simplify]: iters left: 6 (15 enodes) 126.283 * * [simplify]: iters left: 5 (68 enodes) 126.298 * * [simplify]: iters left: 4 (133 enodes) 126.352 * * [simplify]: iters left: 3 (320 enodes) 126.612 * * [simplify]: Extracting #0: cost 1 inf + 0 126.613 * * [simplify]: Extracting #1: cost 53 inf + 0 126.614 * * [simplify]: Extracting #2: cost 200 inf + 1 126.615 * * [simplify]: Extracting #3: cost 221 inf + 8 126.617 * * [simplify]: Extracting #4: cost 219 inf + 1191 126.622 * * [simplify]: Extracting #5: cost 166 inf + 22248 126.643 * * [simplify]: Extracting #6: cost 41 inf + 96128 126.668 * * [simplify]: Extracting #7: cost 0 inf + 126403 126.684 * * [simplify]: Extracting #8: cost 0 inf + 125320 126.714 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) 126.714 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))))) 126.714 * * * * [progress]: [ 326 / 414 ] simplifiying candidate # 126.715 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 126.715 * * [simplify]: iters left: 6 (17 enodes) 126.728 * * [simplify]: iters left: 5 (78 enodes) 126.750 * * [simplify]: iters left: 4 (166 enodes) 126.812 * * [simplify]: iters left: 3 (465 enodes) 127.193 * * [simplify]: Extracting #0: cost 1 inf + 0 127.193 * * [simplify]: Extracting #1: cost 88 inf + 0 127.196 * * [simplify]: Extracting #2: cost 359 inf + 1 127.200 * * [simplify]: Extracting #3: cost 384 inf + 255 127.209 * * [simplify]: Extracting #4: cost 313 inf + 35276 127.260 * * [simplify]: Extracting #5: cost 53 inf + 206083 127.300 * * [simplify]: Extracting #6: cost 0 inf + 242301 127.341 * * [simplify]: Extracting #7: cost 0 inf + 241173 127.401 * [simplify]: Simplified to (* (/ (sqrt (* 2 PI)) (sqrt k)) (pow n (/ (- 1 k) 2))) 127.401 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt (* 2 PI)) (sqrt k)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))))) 127.401 * * * * [progress]: [ 327 / 414 ] simplifiying candidate # 127.401 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 127.402 * * [simplify]: iters left: 6 (17 enodes) 127.414 * * [simplify]: iters left: 5 (78 enodes) 127.445 * * [simplify]: iters left: 4 (169 enodes) 127.498 * * [simplify]: iters left: 3 (486 enodes) 127.914 * * [simplify]: Extracting #0: cost 1 inf + 0 127.914 * * [simplify]: Extracting #1: cost 82 inf + 0 127.916 * * [simplify]: Extracting #2: cost 349 inf + 1 127.917 * * [simplify]: Extracting #3: cost 392 inf + 6 127.919 * * [simplify]: Extracting #4: cost 386 inf + 4266 127.924 * * [simplify]: Extracting #5: cost 296 inf + 40825 127.953 * * [simplify]: Extracting #6: cost 91 inf + 192750 127.992 * * [simplify]: Extracting #7: cost 6 inf + 268322 128.039 * * [simplify]: Extracting #8: cost 0 inf + 272779 128.080 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) 128.080 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 128.081 * * * * [progress]: [ 328 / 414 ] simplifiying candidate # 128.081 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow n (/ (- 1 k) 2))) 128.081 * * [simplify]: iters left: 6 (19 enodes) 128.088 * * [simplify]: iters left: 5 (87 enodes) 128.123 * * [simplify]: iters left: 4 (194 enodes) 128.212 * * [simplify]: Extracting #0: cost 1 inf + 0 128.212 * * [simplify]: Extracting #1: cost 50 inf + 0 128.213 * * [simplify]: Extracting #2: cost 173 inf + 1 128.215 * * [simplify]: Extracting #3: cost 197 inf + 332 128.217 * * [simplify]: Extracting #4: cost 181 inf + 3872 128.227 * * [simplify]: Extracting #5: cost 85 inf + 48646 128.252 * * [simplify]: Extracting #6: cost 3 inf + 104580 128.266 * * [simplify]: Extracting #7: cost 0 inf + 105087 128.277 * * [simplify]: Extracting #8: cost 0 inf + 104927 128.289 * [simplify]: Simplified to (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (pow n (/ (- 1 k) 2))) 128.289 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) 1/4) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt k))) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ k 2) 2)))) 128.289 * * * * [progress]: [ 329 / 414 ] simplifiying candidate # 128.289 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 128.289 * * [simplify]: iters left: 6 (17 enodes) 128.297 * * [simplify]: iters left: 5 (77 enodes) 128.328 * * [simplify]: iters left: 4 (158 enodes) 128.389 * * [simplify]: iters left: 3 (457 enodes) 128.820 * * [simplify]: Extracting #0: cost 1 inf + 0 128.820 * * [simplify]: Extracting #1: cost 96 inf + 0 128.822 * * [simplify]: Extracting #2: cost 397 inf + 1 128.824 * * [simplify]: Extracting #3: cost 437 inf + 6 128.826 * * [simplify]: Extracting #4: cost 438 inf + 1109 128.831 * * [simplify]: Extracting #5: cost 368 inf + 31313 128.855 * * [simplify]: Extracting #6: cost 230 inf + 115489 128.894 * * [simplify]: Extracting #7: cost 46 inf + 272671 128.947 * * [simplify]: Extracting #8: cost 0 inf + 314434 128.992 * * [simplify]: Extracting #9: cost 0 inf + 314353 129.038 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) 129.038 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (* PI 2) 1/4)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 129.038 * * * * [progress]: [ 330 / 414 ] simplifiying candidate # 129.038 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 129.038 * * [simplify]: iters left: 6 (19 enodes) 129.049 * * [simplify]: iters left: 5 (87 enodes) 129.084 * * [simplify]: iters left: 4 (189 enodes) 129.158 * * [simplify]: Extracting #0: cost 1 inf + 0 129.158 * * [simplify]: Extracting #1: cost 37 inf + 0 129.159 * * [simplify]: Extracting #2: cost 163 inf + 0 129.160 * * [simplify]: Extracting #3: cost 194 inf + 4 129.163 * * [simplify]: Extracting #4: cost 163 inf + 7491 129.176 * * [simplify]: Extracting #5: cost 57 inf + 63665 129.197 * * [simplify]: Extracting #6: cost 1 inf + 98755 129.220 * * [simplify]: Extracting #7: cost 0 inf + 98934 129.246 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (pow n (/ (- 1 k) 2))) 129.247 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow (* 2 PI) 1/4) (sqrt k))) (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ k 2) 2)))) 129.247 * * * * [progress]: [ 331 / 414 ] simplifiying candidate # 129.247 * [simplify]: Simplifying (* (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))) 129.247 * * [simplify]: iters left: 6 (14 enodes) 129.253 * * [simplify]: iters left: 5 (64 enodes) 129.266 * * [simplify]: iters left: 4 (134 enodes) 129.316 * * [simplify]: iters left: 3 (328 enodes) 129.554 * * [simplify]: Extracting #0: cost 1 inf + 0 129.554 * * [simplify]: Extracting #1: cost 49 inf + 0 129.555 * * [simplify]: Extracting #2: cost 203 inf + 1 129.557 * * [simplify]: Extracting #3: cost 249 inf + 4 129.559 * * [simplify]: Extracting #4: cost 252 inf + 97 129.567 * * [simplify]: Extracting #5: cost 222 inf + 3517 129.580 * * [simplify]: Extracting #6: cost 124 inf + 51783 129.615 * * [simplify]: Extracting #7: cost 4 inf + 149584 129.657 * * [simplify]: Extracting #8: cost 0 inf + 149455 129.698 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) 129.698 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k))) 129.699 * * * * [progress]: [ 332 / 414 ] simplifiying candidate #real (real->posit16 (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))))> 129.699 * * * * [progress]: [ 333 / 414 ] simplifiying candidate # 129.699 * * * * [progress]: [ 334 / 414 ] simplifiying candidate # 129.699 * * * * [progress]: [ 335 / 414 ] simplifiying candidate # 129.699 * * * * [progress]: [ 336 / 414 ] simplifiying candidate # 129.699 * * * * [progress]: [ 337 / 414 ] simplifiying candidate # 129.699 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 129.700 * * [simplify]: iters left: 6 (15 enodes) 129.709 * * [simplify]: iters left: 5 (61 enodes) 129.731 * * [simplify]: iters left: 4 (98 enodes) 129.768 * * [simplify]: iters left: 3 (184 enodes) 129.833 * * [simplify]: iters left: 2 (323 enodes) 129.937 * * [simplify]: Extracting #0: cost 1 inf + 0 129.938 * * [simplify]: Extracting #1: cost 26 inf + 0 129.938 * * [simplify]: Extracting #2: cost 108 inf + 0 129.939 * * [simplify]: Extracting #3: cost 151 inf + 330 129.942 * * [simplify]: Extracting #4: cost 116 inf + 7912 129.952 * * [simplify]: Extracting #5: cost 19 inf + 27883 129.964 * * [simplify]: Extracting #6: cost 0 inf + 32188 129.977 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k))) 129.977 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 129.977 * * * * [progress]: [ 338 / 414 ] simplifiying candidate # 129.977 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 129.977 * * [simplify]: iters left: 6 (14 enodes) 129.982 * * [simplify]: iters left: 5 (61 enodes) 129.994 * * [simplify]: iters left: 4 (101 enodes) 130.017 * * [simplify]: iters left: 3 (175 enodes) 130.048 * * [simplify]: iters left: 2 (307 enodes) 130.136 * * [simplify]: Extracting #0: cost 1 inf + 0 130.136 * * [simplify]: Extracting #1: cost 25 inf + 0 130.136 * * [simplify]: Extracting #2: cost 110 inf + 0 130.137 * * [simplify]: Extracting #3: cost 156 inf + 48 130.138 * * [simplify]: Extracting #4: cost 137 inf + 2684 130.143 * * [simplify]: Extracting #5: cost 35 inf + 20142 130.149 * * [simplify]: Extracting #6: cost 0 inf + 28572 130.159 * * [simplify]: Extracting #7: cost 0 inf + 28571 130.171 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 130.171 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 130.171 * * * * [progress]: [ 339 / 414 ] simplifiying candidate # 130.171 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 130.172 * * [simplify]: iters left: 6 (14 enodes) 130.180 * * [simplify]: iters left: 5 (61 enodes) 130.201 * * [simplify]: iters left: 4 (101 enodes) 130.235 * * [simplify]: iters left: 3 (175 enodes) 130.295 * * [simplify]: iters left: 2 (307 enodes) 130.378 * * [simplify]: Extracting #0: cost 1 inf + 0 130.378 * * [simplify]: Extracting #1: cost 25 inf + 0 130.379 * * [simplify]: Extracting #2: cost 110 inf + 0 130.380 * * [simplify]: Extracting #3: cost 156 inf + 48 130.382 * * [simplify]: Extracting #4: cost 137 inf + 2684 130.388 * * [simplify]: Extracting #5: cost 35 inf + 20142 130.396 * * [simplify]: Extracting #6: cost 0 inf + 28572 130.403 * * [simplify]: Extracting #7: cost 0 inf + 28571 130.409 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 130.409 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 130.409 * * * * [progress]: [ 340 / 414 ] simplifiying candidate # 130.409 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 130.409 * * [simplify]: iters left: 6 (14 enodes) 130.414 * * [simplify]: iters left: 5 (60 enodes) 130.428 * * [simplify]: iters left: 4 (103 enodes) 130.461 * * [simplify]: iters left: 3 (201 enodes) 130.526 * * [simplify]: iters left: 2 (465 enodes) 130.725 * * [simplify]: Extracting #0: cost 1 inf + 0 130.725 * * [simplify]: Extracting #1: cost 51 inf + 0 130.727 * * [simplify]: Extracting #2: cost 239 inf + 72 130.729 * * [simplify]: Extracting #3: cost 281 inf + 1015 130.735 * * [simplify]: Extracting #4: cost 235 inf + 12646 130.753 * * [simplify]: Extracting #5: cost 83 inf + 45702 130.782 * * [simplify]: Extracting #6: cost 10 inf + 75015 130.818 * * [simplify]: Extracting #7: cost 0 inf + 82166 130.849 * [simplify]: Simplified to (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) 130.849 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 130.849 * * * * [progress]: [ 341 / 414 ] simplifiying candidate # 130.850 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 130.850 * * [simplify]: iters left: 6 (16 enodes) 130.860 * * [simplify]: iters left: 5 (67 enodes) 130.884 * * [simplify]: iters left: 4 (115 enodes) 130.929 * * [simplify]: iters left: 3 (256 enodes) 131.041 * * [simplify]: Extracting #0: cost 1 inf + 0 131.041 * * [simplify]: Extracting #1: cost 26 inf + 0 131.042 * * [simplify]: Extracting #2: cost 127 inf + 1 131.043 * * [simplify]: Extracting #3: cost 150 inf + 402 131.045 * * [simplify]: Extracting #4: cost 113 inf + 6321 131.053 * * [simplify]: Extracting #5: cost 25 inf + 29633 131.070 * * [simplify]: Extracting #6: cost 0 inf + 34875 131.083 * * [simplify]: Extracting #7: cost 0 inf + 34820 131.097 * [simplify]: Simplified to (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))) 131.097 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.097 * * * * [progress]: [ 342 / 414 ] simplifiying candidate # 131.098 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 131.098 * * [simplify]: iters left: 6 (15 enodes) 131.107 * * [simplify]: iters left: 5 (67 enodes) 131.119 * * [simplify]: iters left: 4 (118 enodes) 131.141 * * [simplify]: iters left: 3 (237 enodes) 131.208 * * [simplify]: Extracting #0: cost 1 inf + 0 131.208 * * [simplify]: Extracting #1: cost 24 inf + 0 131.209 * * [simplify]: Extracting #2: cost 115 inf + 1 131.209 * * [simplify]: Extracting #3: cost 150 inf + 6 131.210 * * [simplify]: Extracting #4: cost 138 inf + 1152 131.212 * * [simplify]: Extracting #5: cost 50 inf + 16684 131.218 * * [simplify]: Extracting #6: cost 1 inf + 28535 131.224 * * [simplify]: Extracting #7: cost 0 inf + 28754 131.230 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) 131.230 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.230 * * * * [progress]: [ 343 / 414 ] simplifiying candidate # 131.230 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 131.230 * * [simplify]: iters left: 6 (15 enodes) 131.235 * * [simplify]: iters left: 5 (67 enodes) 131.250 * * [simplify]: iters left: 4 (118 enodes) 131.281 * * [simplify]: iters left: 3 (237 enodes) 131.355 * * [simplify]: Extracting #0: cost 1 inf + 0 131.355 * * [simplify]: Extracting #1: cost 24 inf + 0 131.355 * * [simplify]: Extracting #2: cost 115 inf + 1 131.356 * * [simplify]: Extracting #3: cost 150 inf + 6 131.357 * * [simplify]: Extracting #4: cost 138 inf + 1152 131.363 * * [simplify]: Extracting #5: cost 50 inf + 16684 131.369 * * [simplify]: Extracting #6: cost 1 inf + 28535 131.375 * * [simplify]: Extracting #7: cost 0 inf + 28754 131.381 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) 131.381 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.381 * * * * [progress]: [ 344 / 414 ] simplifiying candidate # 131.381 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 131.381 * * [simplify]: iters left: 6 (15 enodes) 131.386 * * [simplify]: iters left: 5 (66 enodes) 131.401 * * [simplify]: iters left: 4 (117 enodes) 131.428 * * [simplify]: iters left: 3 (250 enodes) 131.515 * * [simplify]: Extracting #0: cost 1 inf + 0 131.515 * * [simplify]: Extracting #1: cost 30 inf + 0 131.515 * * [simplify]: Extracting #2: cost 156 inf + 1 131.516 * * [simplify]: Extracting #3: cost 226 inf + 6 131.519 * * [simplify]: Extracting #4: cost 194 inf + 5679 131.531 * * [simplify]: Extracting #5: cost 58 inf + 33604 131.540 * * [simplify]: Extracting #6: cost 2 inf + 51205 131.549 * * [simplify]: Extracting #7: cost 0 inf + 51905 131.558 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) 131.558 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.558 * * * * [progress]: [ 345 / 414 ] simplifiying candidate # 131.558 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 131.559 * * [simplify]: iters left: 6 (16 enodes) 131.564 * * [simplify]: iters left: 5 (68 enodes) 131.586 * * [simplify]: iters left: 4 (110 enodes) 131.627 * * [simplify]: iters left: 3 (235 enodes) 131.678 * * [simplify]: Extracting #0: cost 1 inf + 0 131.678 * * [simplify]: Extracting #1: cost 27 inf + 0 131.678 * * [simplify]: Extracting #2: cost 126 inf + 1 131.679 * * [simplify]: Extracting #3: cost 152 inf + 302 131.680 * * [simplify]: Extracting #4: cost 116 inf + 6295 131.683 * * [simplify]: Extracting #5: cost 66 inf + 17092 131.689 * * [simplify]: Extracting #6: cost 4 inf + 33792 131.695 * * [simplify]: Extracting #7: cost 0 inf + 34986 131.704 * [simplify]: Simplified to (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k))) 131.704 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.704 * * * * [progress]: [ 346 / 414 ] simplifiying candidate # 131.704 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 131.705 * * [simplify]: iters left: 6 (15 enodes) 131.709 * * [simplify]: iters left: 5 (68 enodes) 131.725 * * [simplify]: iters left: 4 (113 enodes) 131.766 * * [simplify]: iters left: 3 (224 enodes) 131.844 * * [simplify]: Extracting #0: cost 1 inf + 0 131.845 * * [simplify]: Extracting #1: cost 24 inf + 0 131.845 * * [simplify]: Extracting #2: cost 115 inf + 1 131.845 * * [simplify]: Extracting #3: cost 150 inf + 6 131.846 * * [simplify]: Extracting #4: cost 137 inf + 1413 131.848 * * [simplify]: Extracting #5: cost 76 inf + 10237 131.853 * * [simplify]: Extracting #6: cost 6 inf + 26751 131.861 * * [simplify]: Extracting #7: cost 0 inf + 28782 131.873 * [simplify]: Simplified to (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) 131.873 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 131.873 * * * * [progress]: [ 347 / 414 ] simplifiying candidate # 131.873 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 131.873 * * [simplify]: iters left: 6 (15 enodes) 131.883 * * [simplify]: iters left: 5 (68 enodes) 131.905 * * [simplify]: iters left: 4 (113 enodes) 131.934 * * [simplify]: iters left: 3 (224 enodes) 131.981 * * [simplify]: Extracting #0: cost 1 inf + 0 131.981 * * [simplify]: Extracting #1: cost 24 inf + 0 131.982 * * [simplify]: Extracting #2: cost 115 inf + 1 131.982 * * [simplify]: Extracting #3: cost 150 inf + 6 131.983 * * [simplify]: Extracting #4: cost 137 inf + 1413 131.984 * * [simplify]: Extracting #5: cost 76 inf + 10237 131.990 * * [simplify]: Extracting #6: cost 6 inf + 26751 132.002 * * [simplify]: Extracting #7: cost 0 inf + 28782 132.013 * [simplify]: Simplified to (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) 132.013 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 132.014 * * * * [progress]: [ 348 / 414 ] simplifiying candidate # 132.014 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 132.014 * * [simplify]: iters left: 6 (15 enodes) 132.023 * * [simplify]: iters left: 5 (67 enodes) 132.050 * * [simplify]: iters left: 4 (112 enodes) 132.071 * * [simplify]: iters left: 3 (239 enodes) 132.160 * * [simplify]: Extracting #0: cost 1 inf + 0 132.161 * * [simplify]: Extracting #1: cost 27 inf + 0 132.161 * * [simplify]: Extracting #2: cost 145 inf + 1 132.162 * * [simplify]: Extracting #3: cost 214 inf + 6 132.165 * * [simplify]: Extracting #4: cost 182 inf + 4566 132.174 * * [simplify]: Extracting #5: cost 58 inf + 28859 132.185 * * [simplify]: Extracting #6: cost 1 inf + 47036 132.194 * * [simplify]: Extracting #7: cost 0 inf + 47380 132.202 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) 132.202 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 132.202 * * * * [progress]: [ 349 / 414 ] simplifiying candidate # 132.202 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 132.202 * * [simplify]: iters left: 6 (15 enodes) 132.207 * * [simplify]: iters left: 5 (65 enodes) 132.223 * * [simplify]: iters left: 4 (104 enodes) 132.245 * * [simplify]: iters left: 3 (194 enodes) 132.312 * * [simplify]: iters left: 2 (355 enodes) 132.440 * * [simplify]: Extracting #0: cost 1 inf + 0 132.441 * * [simplify]: Extracting #1: cost 31 inf + 0 132.441 * * [simplify]: Extracting #2: cost 136 inf + 1 132.442 * * [simplify]: Extracting #3: cost 178 inf + 443 132.444 * * [simplify]: Extracting #4: cost 130 inf + 9898 132.449 * * [simplify]: Extracting #5: cost 31 inf + 30413 132.463 * * [simplify]: Extracting #6: cost 0 inf + 40233 132.476 * * [simplify]: Extracting #7: cost 0 inf + 40229 132.484 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k))) 132.484 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 132.484 * * * * [progress]: [ 350 / 414 ] simplifiying candidate # 132.485 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 132.485 * * [simplify]: iters left: 6 (14 enodes) 132.490 * * [simplify]: iters left: 5 (65 enodes) 132.502 * * [simplify]: iters left: 4 (107 enodes) 132.539 * * [simplify]: iters left: 3 (185 enodes) 132.594 * * [simplify]: iters left: 2 (334 enodes) 132.707 * * [simplify]: Extracting #0: cost 1 inf + 0 132.707 * * [simplify]: Extracting #1: cost 30 inf + 0 132.707 * * [simplify]: Extracting #2: cost 137 inf + 1 132.708 * * [simplify]: Extracting #3: cost 184 inf + 161 132.711 * * [simplify]: Extracting #4: cost 133 inf + 8593 132.722 * * [simplify]: Extracting #5: cost 25 inf + 29016 132.738 * * [simplify]: Extracting #6: cost 0 inf + 36185 132.758 * * [simplify]: Extracting #7: cost 0 inf + 36181 132.773 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 132.773 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 132.773 * * * * [progress]: [ 351 / 414 ] simplifiying candidate # 132.773 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 132.774 * * [simplify]: iters left: 6 (14 enodes) 132.782 * * [simplify]: iters left: 5 (65 enodes) 132.794 * * [simplify]: iters left: 4 (107 enodes) 132.813 * * [simplify]: iters left: 3 (185 enodes) 132.873 * * [simplify]: iters left: 2 (334 enodes) 132.955 * * [simplify]: Extracting #0: cost 1 inf + 0 132.955 * * [simplify]: Extracting #1: cost 30 inf + 0 132.955 * * [simplify]: Extracting #2: cost 137 inf + 1 132.956 * * [simplify]: Extracting #3: cost 184 inf + 161 132.959 * * [simplify]: Extracting #4: cost 133 inf + 8593 132.970 * * [simplify]: Extracting #5: cost 25 inf + 29016 132.985 * * [simplify]: Extracting #6: cost 0 inf + 36185 133.001 * * [simplify]: Extracting #7: cost 0 inf + 36181 133.016 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 133.016 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 133.016 * * * * [progress]: [ 352 / 414 ] simplifiying candidate # 133.016 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 133.016 * * [simplify]: iters left: 6 (14 enodes) 133.021 * * [simplify]: iters left: 5 (64 enodes) 133.035 * * [simplify]: iters left: 4 (109 enodes) 133.055 * * [simplify]: iters left: 3 (211 enodes) 133.145 * * [simplify]: Extracting #0: cost 1 inf + 0 133.145 * * [simplify]: Extracting #1: cost 22 inf + 0 133.145 * * [simplify]: Extracting #2: cost 99 inf + 1 133.150 * * [simplify]: Extracting #3: cost 150 inf + 6 133.151 * * [simplify]: Extracting #4: cost 144 inf + 762 133.157 * * [simplify]: Extracting #5: cost 57 inf + 17481 133.167 * * [simplify]: Extracting #6: cost 5 inf + 33092 133.179 * * [simplify]: Extracting #7: cost 0 inf + 34018 133.191 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) 133.191 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 133.192 * * * * [progress]: [ 353 / 414 ] simplifiying candidate # 133.192 * * * * [progress]: [ 354 / 414 ] simplifiying candidate # 133.192 * * * * [progress]: [ 355 / 414 ] simplifiying candidate # 133.192 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 133.193 * * [simplify]: iters left: 6 (18 enodes) 133.204 * * [simplify]: iters left: 5 (77 enodes) 133.234 * * [simplify]: iters left: 4 (182 enodes) 133.333 * * [simplify]: Extracting #0: cost 1 inf + 0 133.334 * * [simplify]: Extracting #1: cost 52 inf + 0 133.334 * * [simplify]: Extracting #2: cost 154 inf + 206 133.336 * * [simplify]: Extracting #3: cost 164 inf + 1763 133.340 * * [simplify]: Extracting #4: cost 133 inf + 12121 133.350 * * [simplify]: Extracting #5: cost 49 inf + 48821 133.362 * * [simplify]: Extracting #6: cost 0 inf + 75566 133.376 * * [simplify]: Extracting #7: cost 0 inf + 72389 133.387 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) 133.387 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 133.387 * * * * [progress]: [ 356 / 414 ] simplifiying candidate # 133.388 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 133.388 * * [simplify]: iters left: 6 (16 enodes) 133.393 * * [simplify]: iters left: 5 (78 enodes) 133.413 * * [simplify]: iters left: 4 (165 enodes) 133.471 * * [simplify]: iters left: 3 (487 enodes) 133.788 * * [simplify]: Extracting #0: cost 1 inf + 0 133.788 * * [simplify]: Extracting #1: cost 84 inf + 0 133.790 * * [simplify]: Extracting #2: cost 395 inf + 3 133.794 * * [simplify]: Extracting #3: cost 441 inf + 871 133.799 * * [simplify]: Extracting #4: cost 413 inf + 6673 133.817 * * [simplify]: Extracting #5: cost 227 inf + 108484 133.863 * * [simplify]: Extracting #6: cost 12 inf + 250771 133.940 * * [simplify]: Extracting #7: cost 0 inf + 252090 133.995 * * [simplify]: Extracting #8: cost 0 inf + 249576 134.051 * [simplify]: Simplified to (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 4)) k)) (pow (* PI 2) (/ (- 1 k) 4))) 134.051 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 4)) k)) (pow (* PI 2) (/ (- 1 k) 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 134.051 * * * * [progress]: [ 357 / 414 ] simplifiying candidate # 134.051 * * * * [progress]: [ 358 / 414 ] simplifiying candidate # 134.051 * * * * [progress]: [ 359 / 414 ] simplifiying candidate # 134.051 * * * * [progress]: [ 360 / 414 ] simplifiying candidate # 134.052 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) 134.052 * * [simplify]: iters left: 6 (8 enodes) 134.056 * * [simplify]: iters left: 5 (34 enodes) 134.063 * * [simplify]: iters left: 4 (55 enodes) 134.075 * * [simplify]: iters left: 3 (80 enodes) 134.105 * * [simplify]: iters left: 2 (135 enodes) 134.131 * * [simplify]: iters left: 1 (220 enodes) 134.199 * * [simplify]: Extracting #0: cost 1 inf + 0 134.199 * * [simplify]: Extracting #1: cost 17 inf + 0 134.200 * * [simplify]: Extracting #2: cost 58 inf + 3 134.200 * * [simplify]: Extracting #3: cost 60 inf + 10 134.201 * * [simplify]: Extracting #4: cost 46 inf + 3934 134.205 * * [simplify]: Extracting #5: cost 10 inf + 24237 134.213 * * [simplify]: Extracting #6: cost 0 inf + 29950 134.216 * [simplify]: Simplified to (pow (* PI 2) 1/4) 134.216 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 134.217 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 134.217 * * [simplify]: iters left: 6 (9 enodes) 134.220 * * [simplify]: iters left: 5 (35 enodes) 134.225 * * [simplify]: iters left: 4 (51 enodes) 134.235 * * [simplify]: iters left: 3 (92 enodes) 134.260 * * [simplify]: iters left: 2 (205 enodes) 134.324 * * [simplify]: Extracting #0: cost 1 inf + 0 134.324 * * [simplify]: Extracting #1: cost 28 inf + 0 134.325 * * [simplify]: Extracting #2: cost 97 inf + 0 134.325 * * [simplify]: Extracting #3: cost 125 inf + 86 134.326 * * [simplify]: Extracting #4: cost 114 inf + 2462 134.329 * * [simplify]: Extracting #5: cost 35 inf + 30951 134.336 * * [simplify]: Extracting #6: cost 2 inf + 51027 134.342 * * [simplify]: Extracting #7: cost 0 inf + 51554 134.350 * * [simplify]: Extracting #8: cost 0 inf + 51475 134.361 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 134.361 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 134.361 * * * * [progress]: [ 361 / 414 ] simplifiying candidate # 134.361 * * * * [progress]: [ 362 / 414 ] simplifiying candidate # 134.362 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 134.362 * * [simplify]: iters left: 6 (14 enodes) 134.366 * * [simplify]: iters left: 5 (58 enodes) 134.376 * * [simplify]: iters left: 4 (90 enodes) 134.397 * * [simplify]: iters left: 3 (138 enodes) 134.443 * * [simplify]: iters left: 2 (233 enodes) 134.527 * * [simplify]: iters left: 1 (428 enodes) 134.700 * * [simplify]: Extracting #0: cost 1 inf + 0 134.700 * * [simplify]: Extracting #1: cost 4 inf + 0 134.700 * * [simplify]: Extracting #2: cost 9 inf + 0 134.701 * * [simplify]: Extracting #3: cost 37 inf + 0 134.701 * * [simplify]: Extracting #4: cost 120 inf + 2 134.703 * * [simplify]: Extracting #5: cost 173 inf + 590 134.706 * * [simplify]: Extracting #6: cost 114 inf + 7925 134.715 * * [simplify]: Extracting #7: cost 50 inf + 19434 134.731 * * [simplify]: Extracting #8: cost 4 inf + 53318 134.749 * * [simplify]: Extracting #9: cost 0 inf + 56440 134.767 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 134.767 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 134.767 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 134.768 * * [simplify]: iters left: 6 (14 enodes) 134.776 * * [simplify]: iters left: 5 (58 enodes) 134.800 * * [simplify]: iters left: 4 (90 enodes) 134.830 * * [simplify]: iters left: 3 (138 enodes) 134.872 * * [simplify]: iters left: 2 (233 enodes) 134.935 * * [simplify]: iters left: 1 (428 enodes) 135.128 * * [simplify]: Extracting #0: cost 1 inf + 0 135.128 * * [simplify]: Extracting #1: cost 4 inf + 0 135.128 * * [simplify]: Extracting #2: cost 9 inf + 0 135.128 * * [simplify]: Extracting #3: cost 37 inf + 0 135.128 * * [simplify]: Extracting #4: cost 120 inf + 2 135.129 * * [simplify]: Extracting #5: cost 173 inf + 590 135.131 * * [simplify]: Extracting #6: cost 114 inf + 7925 135.135 * * [simplify]: Extracting #7: cost 50 inf + 19434 135.143 * * [simplify]: Extracting #8: cost 4 inf + 53318 135.153 * * [simplify]: Extracting #9: cost 0 inf + 56440 135.171 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 135.171 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 135.172 * * * * [progress]: [ 363 / 414 ] simplifiying candidate # 135.172 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 135.172 * * [simplify]: iters left: 6 (14 enodes) 135.185 * * [simplify]: iters left: 5 (59 enodes) 135.207 * * [simplify]: iters left: 4 (100 enodes) 135.243 * * [simplify]: iters left: 3 (175 enodes) 135.287 * * [simplify]: iters left: 2 (324 enodes) 135.378 * * [simplify]: Extracting #0: cost 1 inf + 0 135.378 * * [simplify]: Extracting #1: cost 28 inf + 0 135.378 * * [simplify]: Extracting #2: cost 98 inf + 0 135.379 * * [simplify]: Extracting #3: cost 152 inf + 2 135.379 * * [simplify]: Extracting #4: cost 169 inf + 15 135.380 * * [simplify]: Extracting #5: cost 146 inf + 1919 135.383 * * [simplify]: Extracting #6: cost 82 inf + 9975 135.390 * * [simplify]: Extracting #7: cost 35 inf + 37381 135.398 * * [simplify]: Extracting #8: cost 3 inf + 62746 135.407 * * [simplify]: Extracting #9: cost 0 inf + 64992 135.416 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 135.416 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 135.416 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 135.417 * * [simplify]: iters left: 6 (14 enodes) 135.421 * * [simplify]: iters left: 5 (59 enodes) 135.442 * * [simplify]: iters left: 4 (100 enodes) 135.477 * * [simplify]: iters left: 3 (175 enodes) 135.515 * * [simplify]: iters left: 2 (324 enodes) 135.614 * * [simplify]: Extracting #0: cost 1 inf + 0 135.615 * * [simplify]: Extracting #1: cost 28 inf + 0 135.615 * * [simplify]: Extracting #2: cost 98 inf + 0 135.615 * * [simplify]: Extracting #3: cost 152 inf + 2 135.616 * * [simplify]: Extracting #4: cost 169 inf + 15 135.617 * * [simplify]: Extracting #5: cost 146 inf + 1919 135.619 * * [simplify]: Extracting #6: cost 82 inf + 9975 135.624 * * [simplify]: Extracting #7: cost 35 inf + 37381 135.640 * * [simplify]: Extracting #8: cost 3 inf + 62746 135.649 * * [simplify]: Extracting #9: cost 0 inf + 64992 135.658 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 135.658 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 135.658 * * * * [progress]: [ 364 / 414 ] simplifiying candidate # 135.659 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 135.659 * * [simplify]: iters left: 6 (15 enodes) 135.664 * * [simplify]: iters left: 5 (63 enodes) 135.681 * * [simplify]: iters left: 4 (95 enodes) 135.702 * * [simplify]: iters left: 3 (147 enodes) 135.737 * * [simplify]: iters left: 2 (255 enodes) 135.807 * * [simplify]: iters left: 1 (471 enodes) 135.998 * * [simplify]: Extracting #0: cost 1 inf + 0 135.998 * * [simplify]: Extracting #1: cost 7 inf + 0 135.999 * * [simplify]: Extracting #2: cost 13 inf + 1 135.999 * * [simplify]: Extracting #3: cost 41 inf + 1 136.000 * * [simplify]: Extracting #4: cost 120 inf + 288 136.001 * * [simplify]: Extracting #5: cost 173 inf + 750 136.008 * * [simplify]: Extracting #6: cost 88 inf + 23219 136.019 * * [simplify]: Extracting #7: cost 3 inf + 57695 136.029 * * [simplify]: Extracting #8: cost 0 inf + 58936 136.039 * * [simplify]: Extracting #9: cost 0 inf + 58553 136.058 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 136.058 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 136.059 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 136.059 * * [simplify]: iters left: 6 (15 enodes) 136.069 * * [simplify]: iters left: 5 (63 enodes) 136.085 * * [simplify]: iters left: 4 (95 enodes) 136.102 * * [simplify]: iters left: 3 (147 enodes) 136.151 * * [simplify]: iters left: 2 (255 enodes) 136.224 * * [simplify]: iters left: 1 (471 enodes) 136.451 * * [simplify]: Extracting #0: cost 1 inf + 0 136.451 * * [simplify]: Extracting #1: cost 7 inf + 0 136.451 * * [simplify]: Extracting #2: cost 13 inf + 1 136.451 * * [simplify]: Extracting #3: cost 41 inf + 1 136.452 * * [simplify]: Extracting #4: cost 120 inf + 288 136.453 * * [simplify]: Extracting #5: cost 173 inf + 750 136.460 * * [simplify]: Extracting #6: cost 88 inf + 23219 136.478 * * [simplify]: Extracting #7: cost 3 inf + 57695 136.489 * * [simplify]: Extracting #8: cost 0 inf + 58936 136.499 * * [simplify]: Extracting #9: cost 0 inf + 58553 136.509 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 136.509 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 136.510 * * * * [progress]: [ 365 / 414 ] simplifiying candidate # 136.510 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 136.510 * * [simplify]: iters left: 6 (15 enodes) 136.521 * * [simplify]: iters left: 5 (64 enodes) 136.534 * * [simplify]: iters left: 4 (100 enodes) 136.554 * * [simplify]: iters left: 3 (177 enodes) 136.606 * * [simplify]: iters left: 2 (379 enodes) 136.752 * * [simplify]: Extracting #0: cost 1 inf + 0 136.753 * * [simplify]: Extracting #1: cost 45 inf + 0 136.753 * * [simplify]: Extracting #2: cost 115 inf + 1 136.754 * * [simplify]: Extracting #3: cost 168 inf + 3 136.756 * * [simplify]: Extracting #4: cost 176 inf + 550 136.760 * * [simplify]: Extracting #5: cost 130 inf + 6470 136.767 * * [simplify]: Extracting #6: cost 64 inf + 25195 136.776 * * [simplify]: Extracting #7: cost 7 inf + 68871 136.788 * * [simplify]: Extracting #8: cost 0 inf + 75384 136.808 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 136.808 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 136.809 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 136.809 * * [simplify]: iters left: 6 (15 enodes) 136.823 * * [simplify]: iters left: 5 (64 enodes) 136.844 * * [simplify]: iters left: 4 (100 enodes) 136.881 * * [simplify]: iters left: 3 (177 enodes) 136.953 * * [simplify]: iters left: 2 (379 enodes) 137.081 * * [simplify]: Extracting #0: cost 1 inf + 0 137.081 * * [simplify]: Extracting #1: cost 45 inf + 0 137.082 * * [simplify]: Extracting #2: cost 115 inf + 1 137.082 * * [simplify]: Extracting #3: cost 168 inf + 3 137.083 * * [simplify]: Extracting #4: cost 176 inf + 550 137.085 * * [simplify]: Extracting #5: cost 130 inf + 6470 137.090 * * [simplify]: Extracting #6: cost 64 inf + 25195 137.099 * * [simplify]: Extracting #7: cost 7 inf + 68871 137.113 * * [simplify]: Extracting #8: cost 0 inf + 75384 137.136 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 137.136 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 137.136 * * * * [progress]: [ 366 / 414 ] simplifiying candidate # 137.137 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 137.137 * * [simplify]: iters left: 6 (15 enodes) 137.145 * * [simplify]: iters left: 5 (63 enodes) 137.156 * * [simplify]: iters left: 4 (95 enodes) 137.172 * * [simplify]: iters left: 3 (147 enodes) 137.205 * * [simplify]: iters left: 2 (255 enodes) 137.282 * * [simplify]: iters left: 1 (471 enodes) 137.484 * * [simplify]: Extracting #0: cost 1 inf + 0 137.484 * * [simplify]: Extracting #1: cost 7 inf + 0 137.484 * * [simplify]: Extracting #2: cost 13 inf + 1 137.485 * * [simplify]: Extracting #3: cost 41 inf + 1 137.485 * * [simplify]: Extracting #4: cost 120 inf + 288 137.486 * * [simplify]: Extracting #5: cost 173 inf + 750 137.490 * * [simplify]: Extracting #6: cost 88 inf + 23219 137.499 * * [simplify]: Extracting #7: cost 3 inf + 57695 137.511 * * [simplify]: Extracting #8: cost 0 inf + 58936 137.530 * * [simplify]: Extracting #9: cost 0 inf + 58553 137.554 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 137.554 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 137.555 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 137.555 * * [simplify]: iters left: 6 (15 enodes) 137.565 * * [simplify]: iters left: 5 (63 enodes) 137.577 * * [simplify]: iters left: 4 (95 enodes) 137.593 * * [simplify]: iters left: 3 (147 enodes) 137.621 * * [simplify]: iters left: 2 (255 enodes) 137.697 * * [simplify]: iters left: 1 (471 enodes) 137.911 * * [simplify]: Extracting #0: cost 1 inf + 0 137.911 * * [simplify]: Extracting #1: cost 7 inf + 0 137.911 * * [simplify]: Extracting #2: cost 13 inf + 1 137.911 * * [simplify]: Extracting #3: cost 41 inf + 1 137.912 * * [simplify]: Extracting #4: cost 120 inf + 288 137.913 * * [simplify]: Extracting #5: cost 173 inf + 750 137.916 * * [simplify]: Extracting #6: cost 88 inf + 23219 137.925 * * [simplify]: Extracting #7: cost 3 inf + 57695 137.943 * * [simplify]: Extracting #8: cost 0 inf + 58936 137.964 * * [simplify]: Extracting #9: cost 0 inf + 58553 137.974 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 137.974 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 137.974 * * * * [progress]: [ 367 / 414 ] simplifiying candidate # 137.974 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 137.974 * * [simplify]: iters left: 6 (15 enodes) 137.980 * * [simplify]: iters left: 5 (64 enodes) 137.994 * * [simplify]: iters left: 4 (100 enodes) 138.019 * * [simplify]: iters left: 3 (177 enodes) 138.068 * * [simplify]: iters left: 2 (379 enodes) 138.208 * * [simplify]: Extracting #0: cost 1 inf + 0 138.208 * * [simplify]: Extracting #1: cost 45 inf + 0 138.209 * * [simplify]: Extracting #2: cost 115 inf + 1 138.210 * * [simplify]: Extracting #3: cost 168 inf + 3 138.211 * * [simplify]: Extracting #4: cost 176 inf + 550 138.215 * * [simplify]: Extracting #5: cost 130 inf + 6470 138.220 * * [simplify]: Extracting #6: cost 64 inf + 25195 138.230 * * [simplify]: Extracting #7: cost 7 inf + 68871 138.244 * * [simplify]: Extracting #8: cost 0 inf + 75384 138.267 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 138.267 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 138.268 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 138.268 * * [simplify]: iters left: 6 (15 enodes) 138.278 * * [simplify]: iters left: 5 (64 enodes) 138.290 * * [simplify]: iters left: 4 (100 enodes) 138.314 * * [simplify]: iters left: 3 (177 enodes) 138.363 * * [simplify]: iters left: 2 (379 enodes) 138.457 * * [simplify]: Extracting #0: cost 1 inf + 0 138.457 * * [simplify]: Extracting #1: cost 45 inf + 0 138.457 * * [simplify]: Extracting #2: cost 115 inf + 1 138.458 * * [simplify]: Extracting #3: cost 168 inf + 3 138.458 * * [simplify]: Extracting #4: cost 176 inf + 550 138.460 * * [simplify]: Extracting #5: cost 130 inf + 6470 138.465 * * [simplify]: Extracting #6: cost 64 inf + 25195 138.481 * * [simplify]: Extracting #7: cost 7 inf + 68871 138.508 * * [simplify]: Extracting #8: cost 0 inf + 75384 138.530 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 138.530 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 138.531 * * * * [progress]: [ 368 / 414 ] simplifiying candidate # 138.531 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 138.532 * * [simplify]: iters left: 6 (14 enodes) 138.540 * * [simplify]: iters left: 5 (60 enodes) 138.560 * * [simplify]: iters left: 4 (96 enodes) 138.592 * * [simplify]: iters left: 3 (158 enodes) 138.643 * * [simplify]: iters left: 2 (254 enodes) 138.715 * * [simplify]: iters left: 1 (446 enodes) 138.899 * * [simplify]: Extracting #0: cost 1 inf + 0 138.899 * * [simplify]: Extracting #1: cost 7 inf + 0 138.899 * * [simplify]: Extracting #2: cost 13 inf + 1 138.899 * * [simplify]: Extracting #3: cost 37 inf + 1 138.900 * * [simplify]: Extracting #4: cost 115 inf + 3 138.901 * * [simplify]: Extracting #5: cost 159 inf + 794 138.907 * * [simplify]: Extracting #6: cost 90 inf + 12154 138.919 * * [simplify]: Extracting #7: cost 15 inf + 44825 138.937 * * [simplify]: Extracting #8: cost 0 inf + 54979 138.953 * * [simplify]: Extracting #9: cost 0 inf + 54487 138.974 * * [simplify]: Extracting #10: cost 0 inf + 54447 138.991 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 138.992 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 138.992 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 138.992 * * [simplify]: iters left: 6 (14 enodes) 139.001 * * [simplify]: iters left: 5 (60 enodes) 139.013 * * [simplify]: iters left: 4 (96 enodes) 139.030 * * [simplify]: iters left: 3 (158 enodes) 139.074 * * [simplify]: iters left: 2 (254 enodes) 139.140 * * [simplify]: iters left: 1 (446 enodes) 139.298 * * [simplify]: Extracting #0: cost 1 inf + 0 139.298 * * [simplify]: Extracting #1: cost 7 inf + 0 139.298 * * [simplify]: Extracting #2: cost 13 inf + 1 139.298 * * [simplify]: Extracting #3: cost 37 inf + 1 139.299 * * [simplify]: Extracting #4: cost 115 inf + 3 139.300 * * [simplify]: Extracting #5: cost 159 inf + 794 139.306 * * [simplify]: Extracting #6: cost 90 inf + 12154 139.318 * * [simplify]: Extracting #7: cost 15 inf + 44825 139.334 * * [simplify]: Extracting #8: cost 0 inf + 54979 139.343 * * [simplify]: Extracting #9: cost 0 inf + 54487 139.354 * * [simplify]: Extracting #10: cost 0 inf + 54447 139.363 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 139.363 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.363 * * * * [progress]: [ 369 / 414 ] simplifiying candidate # 139.363 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 139.363 * * [simplify]: iters left: 6 (14 enodes) 139.367 * * [simplify]: iters left: 5 (61 enodes) 139.384 * * [simplify]: iters left: 4 (108 enodes) 139.424 * * [simplify]: iters left: 3 (207 enodes) 139.506 * * [simplify]: iters left: 2 (388 enodes) 139.682 * * [simplify]: Extracting #0: cost 1 inf + 0 139.682 * * [simplify]: Extracting #1: cost 39 inf + 0 139.682 * * [simplify]: Extracting #2: cost 124 inf + 1 139.683 * * [simplify]: Extracting #3: cost 181 inf + 3 139.684 * * [simplify]: Extracting #4: cost 172 inf + 1626 139.687 * * [simplify]: Extracting #5: cost 110 inf + 14321 139.695 * * [simplify]: Extracting #6: cost 18 inf + 67331 139.714 * * [simplify]: Extracting #7: cost 0 inf + 79580 139.738 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 139.739 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 139.739 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 139.739 * * [simplify]: iters left: 6 (14 enodes) 139.747 * * [simplify]: iters left: 5 (61 enodes) 139.770 * * [simplify]: iters left: 4 (108 enodes) 139.814 * * [simplify]: iters left: 3 (207 enodes) 139.894 * * [simplify]: iters left: 2 (388 enodes) 140.067 * * [simplify]: Extracting #0: cost 1 inf + 0 140.067 * * [simplify]: Extracting #1: cost 39 inf + 0 140.068 * * [simplify]: Extracting #2: cost 124 inf + 1 140.070 * * [simplify]: Extracting #3: cost 181 inf + 3 140.072 * * [simplify]: Extracting #4: cost 172 inf + 1626 140.077 * * [simplify]: Extracting #5: cost 110 inf + 14321 140.094 * * [simplify]: Extracting #6: cost 18 inf + 67331 140.119 * * [simplify]: Extracting #7: cost 0 inf + 79580 140.132 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 140.132 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.132 * * * * [progress]: [ 370 / 414 ] simplifiying candidate # 140.132 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 140.133 * * [simplify]: iters left: 6 (14 enodes) 140.137 * * [simplify]: iters left: 5 (60 enodes) 140.151 * * [simplify]: iters left: 4 (96 enodes) 140.179 * * [simplify]: iters left: 3 (158 enodes) 140.229 * * [simplify]: iters left: 2 (254 enodes) 140.282 * * [simplify]: iters left: 1 (446 enodes) 140.516 * * [simplify]: Extracting #0: cost 1 inf + 0 140.516 * * [simplify]: Extracting #1: cost 7 inf + 0 140.516 * * [simplify]: Extracting #2: cost 13 inf + 1 140.516 * * [simplify]: Extracting #3: cost 37 inf + 1 140.516 * * [simplify]: Extracting #4: cost 115 inf + 3 140.517 * * [simplify]: Extracting #5: cost 159 inf + 794 140.520 * * [simplify]: Extracting #6: cost 90 inf + 12154 140.526 * * [simplify]: Extracting #7: cost 15 inf + 44825 140.535 * * [simplify]: Extracting #8: cost 0 inf + 54979 140.543 * * [simplify]: Extracting #9: cost 0 inf + 54487 140.551 * * [simplify]: Extracting #10: cost 0 inf + 54447 140.560 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 140.560 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.560 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 140.560 * * [simplify]: iters left: 6 (14 enodes) 140.565 * * [simplify]: iters left: 5 (60 enodes) 140.578 * * [simplify]: iters left: 4 (96 enodes) 140.599 * * [simplify]: iters left: 3 (158 enodes) 140.631 * * [simplify]: iters left: 2 (254 enodes) 140.708 * * [simplify]: iters left: 1 (446 enodes) 140.879 * * [simplify]: Extracting #0: cost 1 inf + 0 140.880 * * [simplify]: Extracting #1: cost 7 inf + 0 140.880 * * [simplify]: Extracting #2: cost 13 inf + 1 140.880 * * [simplify]: Extracting #3: cost 37 inf + 1 140.881 * * [simplify]: Extracting #4: cost 115 inf + 3 140.882 * * [simplify]: Extracting #5: cost 159 inf + 794 140.887 * * [simplify]: Extracting #6: cost 90 inf + 12154 140.900 * * [simplify]: Extracting #7: cost 15 inf + 44825 140.918 * * [simplify]: Extracting #8: cost 0 inf + 54979 140.935 * * [simplify]: Extracting #9: cost 0 inf + 54487 140.952 * * [simplify]: Extracting #10: cost 0 inf + 54447 140.963 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 140.963 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 140.963 * * * * [progress]: [ 371 / 414 ] simplifiying candidate # 140.963 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 140.963 * * [simplify]: iters left: 6 (14 enodes) 140.970 * * [simplify]: iters left: 5 (61 enodes) 140.982 * * [simplify]: iters left: 4 (108 enodes) 141.003 * * [simplify]: iters left: 3 (207 enodes) 141.074 * * [simplify]: iters left: 2 (388 enodes) 141.214 * * [simplify]: Extracting #0: cost 1 inf + 0 141.214 * * [simplify]: Extracting #1: cost 39 inf + 0 141.214 * * [simplify]: Extracting #2: cost 124 inf + 1 141.215 * * [simplify]: Extracting #3: cost 181 inf + 3 141.216 * * [simplify]: Extracting #4: cost 172 inf + 1626 141.219 * * [simplify]: Extracting #5: cost 110 inf + 14321 141.228 * * [simplify]: Extracting #6: cost 18 inf + 67331 141.254 * * [simplify]: Extracting #7: cost 0 inf + 79580 141.277 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 141.278 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.278 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 141.278 * * [simplify]: iters left: 6 (14 enodes) 141.282 * * [simplify]: iters left: 5 (61 enodes) 141.295 * * [simplify]: iters left: 4 (108 enodes) 141.318 * * [simplify]: iters left: 3 (207 enodes) 141.373 * * [simplify]: iters left: 2 (388 enodes) 141.528 * * [simplify]: Extracting #0: cost 1 inf + 0 141.528 * * [simplify]: Extracting #1: cost 39 inf + 0 141.529 * * [simplify]: Extracting #2: cost 124 inf + 1 141.530 * * [simplify]: Extracting #3: cost 181 inf + 3 141.532 * * [simplify]: Extracting #4: cost 172 inf + 1626 141.536 * * [simplify]: Extracting #5: cost 110 inf + 14321 141.545 * * [simplify]: Extracting #6: cost 18 inf + 67331 141.557 * * [simplify]: Extracting #7: cost 0 inf + 79580 141.571 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 141.571 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.571 * * * * [progress]: [ 372 / 414 ] simplifiying candidate # 141.571 * [simplify]: Simplifying (pow PI (/ (/ (- 1 k) 2) 2)) 141.571 * * [simplify]: iters left: 6 (8 enodes) 141.577 * * [simplify]: iters left: 5 (38 enodes) 141.590 * * [simplify]: iters left: 4 (66 enodes) 141.607 * * [simplify]: iters left: 3 (110 enodes) 141.630 * * [simplify]: iters left: 2 (200 enodes) 141.697 * * [simplify]: iters left: 1 (403 enodes) 141.879 * * [simplify]: Extracting #0: cost 1 inf + 0 141.879 * * [simplify]: Extracting #1: cost 26 inf + 0 141.880 * * [simplify]: Extracting #2: cost 100 inf + 2 141.881 * * [simplify]: Extracting #3: cost 164 inf + 10 141.883 * * [simplify]: Extracting #4: cost 163 inf + 641 141.888 * * [simplify]: Extracting #5: cost 72 inf + 12998 141.900 * * [simplify]: Extracting #6: cost 25 inf + 35040 141.910 * * [simplify]: Extracting #7: cost 0 inf + 54806 141.921 * [simplify]: Simplified to (pow PI (- 1/4 (/ k 4))) 141.921 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (/ (- 1 k) 2) 2))) (pow PI (- 1/4 (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 141.922 * * * * [progress]: [ 373 / 414 ] simplifiying candidate # 141.922 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 141.922 * * [simplify]: iters left: 6 (10 enodes) 141.926 * * [simplify]: iters left: 5 (45 enodes) 141.935 * * [simplify]: iters left: 4 (70 enodes) 141.955 * * [simplify]: iters left: 3 (113 enodes) 141.978 * * [simplify]: iters left: 2 (216 enodes) 142.041 * * [simplify]: iters left: 1 (429 enodes) 142.231 * * [simplify]: Extracting #0: cost 1 inf + 0 142.231 * * [simplify]: Extracting #1: cost 3 inf + 0 142.231 * * [simplify]: Extracting #2: cost 27 inf + 0 142.231 * * [simplify]: Extracting #3: cost 103 inf + 1 142.232 * * [simplify]: Extracting #4: cost 159 inf + 94 142.233 * * [simplify]: Extracting #5: cost 167 inf + 636 142.236 * * [simplify]: Extracting #6: cost 75 inf + 16505 142.248 * * [simplify]: Extracting #7: cost 8 inf + 44424 142.274 * * [simplify]: Extracting #8: cost 0 inf + 48545 142.291 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 4))) 142.291 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 142.291 * * * * [progress]: [ 374 / 414 ] simplifiying candidate # 142.292 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 142.292 * * [simplify]: iters left: 6 (10 enodes) 142.295 * * [simplify]: iters left: 5 (45 enodes) 142.303 * * [simplify]: iters left: 4 (71 enodes) 142.327 * * [simplify]: iters left: 3 (114 enodes) 142.373 * * [simplify]: iters left: 2 (215 enodes) 142.451 * * [simplify]: iters left: 1 (432 enodes) 142.635 * * [simplify]: Extracting #0: cost 1 inf + 0 142.635 * * [simplify]: Extracting #1: cost 4 inf + 0 142.635 * * [simplify]: Extracting #2: cost 29 inf + 0 142.635 * * [simplify]: Extracting #3: cost 120 inf + 1 142.636 * * [simplify]: Extracting #4: cost 164 inf + 95 142.637 * * [simplify]: Extracting #5: cost 168 inf + 846 142.640 * * [simplify]: Extracting #6: cost 75 inf + 18047 142.651 * * [simplify]: Extracting #7: cost 5 inf + 55674 142.661 * * [simplify]: Extracting #8: cost 0 inf + 58844 142.670 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 4))) 142.670 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 142.670 * * * * [progress]: [ 375 / 414 ] simplifiying candidate # 142.670 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 142.671 * * [simplify]: iters left: 6 (9 enodes) 142.675 * * [simplify]: iters left: 5 (42 enodes) 142.689 * * [simplify]: iters left: 4 (70 enodes) 142.708 * * [simplify]: iters left: 3 (117 enodes) 142.732 * * [simplify]: iters left: 2 (232 enodes) 142.813 * * [simplify]: iters left: 1 (454 enodes) 143.078 * * [simplify]: Extracting #0: cost 1 inf + 0 143.078 * * [simplify]: Extracting #1: cost 25 inf + 0 143.078 * * [simplify]: Extracting #2: cost 104 inf + 1 143.080 * * [simplify]: Extracting #3: cost 174 inf + 94 143.082 * * [simplify]: Extracting #4: cost 157 inf + 2461 143.089 * * [simplify]: Extracting #5: cost 65 inf + 14842 143.101 * * [simplify]: Extracting #6: cost 25 inf + 35839 143.118 * * [simplify]: Extracting #7: cost 2 inf + 54310 143.128 * * [simplify]: Extracting #8: cost 0 inf + 55922 143.137 * * [simplify]: Extracting #9: cost 0 inf + 55540 143.146 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 143.147 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (- 1/4 (/ k 4)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.147 * * * * [progress]: [ 376 / 414 ] simplifiying candidate # 143.147 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) 143.147 * * [simplify]: iters left: 6 (10 enodes) 143.150 * * [simplify]: iters left: 5 (46 enodes) 143.165 * * [simplify]: iters left: 4 (76 enodes) 143.195 * * [simplify]: iters left: 3 (137 enodes) 143.238 * * [simplify]: iters left: 2 (275 enodes) 143.328 * * [simplify]: Extracting #0: cost 1 inf + 0 143.328 * * [simplify]: Extracting #1: cost 12 inf + 0 143.328 * * [simplify]: Extracting #2: cost 63 inf + 1 143.328 * * [simplify]: Extracting #3: cost 110 inf + 10 143.330 * * [simplify]: Extracting #4: cost 99 inf + 1259 143.332 * * [simplify]: Extracting #5: cost 34 inf + 9762 143.335 * * [simplify]: Extracting #6: cost 6 inf + 22531 143.339 * * [simplify]: Extracting #7: cost 0 inf + 26696 143.343 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 8)) 143.343 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (- 1 k) 8))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.343 * * * * [progress]: [ 377 / 414 ] simplifiying candidate # 143.344 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 143.344 * * [simplify]: iters left: 6 (6 enodes) 143.347 * * [simplify]: iters left: 5 (20 enodes) 143.353 * * [simplify]: iters left: 4 (22 enodes) 143.360 * * [simplify]: Extracting #0: cost 1 inf + 0 143.360 * * [simplify]: Extracting #1: cost 3 inf + 0 143.360 * * [simplify]: Extracting #2: cost 5 inf + 0 143.360 * * [simplify]: Extracting #3: cost 8 inf + 0 143.360 * * [simplify]: Extracting #4: cost 9 inf + 1 143.360 * * [simplify]: Extracting #5: cost 8 inf + 2 143.360 * * [simplify]: Extracting #6: cost 1 inf + 774 143.360 * * [simplify]: Extracting #7: cost 0 inf + 976 143.361 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 143.361 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.361 * * * * [progress]: [ 378 / 414 ] simplifiying candidate # 143.361 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 143.361 * * [simplify]: iters left: 4 (5 enodes) 143.364 * * [simplify]: iters left: 3 (17 enodes) 143.369 * * [simplify]: iters left: 2 (19 enodes) 143.375 * * [simplify]: Extracting #0: cost 1 inf + 0 143.375 * * [simplify]: Extracting #1: cost 3 inf + 0 143.375 * * [simplify]: Extracting #2: cost 6 inf + 0 143.375 * * [simplify]: Extracting #3: cost 7 inf + 1 143.375 * * [simplify]: Extracting #4: cost 0 inf + 492 143.376 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 143.376 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.376 * * * * [progress]: [ 379 / 414 ] simplifiying candidate # 143.376 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.376 * * [simplify]: iters left: 6 (8 enodes) 143.381 * * [simplify]: iters left: 5 (32 enodes) 143.391 * * [simplify]: iters left: 4 (48 enodes) 143.407 * * [simplify]: iters left: 3 (76 enodes) 143.433 * * [simplify]: iters left: 2 (81 enodes) 143.440 * * [simplify]: Extracting #0: cost 1 inf + 0 143.440 * * [simplify]: Extracting #1: cost 6 inf + 0 143.440 * * [simplify]: Extracting #2: cost 9 inf + 1 143.440 * * [simplify]: Extracting #3: cost 11 inf + 1 143.440 * * [simplify]: Extracting #4: cost 2 inf + 1052 143.441 * * [simplify]: Extracting #5: cost 0 inf + 1376 143.441 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.441 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.441 * * * * [progress]: [ 380 / 414 ] simplifiying candidate # 143.441 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 143.441 * * [simplify]: iters left: 6 (8 enodes) 143.444 * * [simplify]: iters left: 5 (29 enodes) 143.449 * * [simplify]: iters left: 4 (31 enodes) 143.454 * * [simplify]: Extracting #0: cost 1 inf + 0 143.454 * * [simplify]: Extracting #1: cost 4 inf + 0 143.454 * * [simplify]: Extracting #2: cost 6 inf + 1 143.454 * * [simplify]: Extracting #3: cost 9 inf + 1 143.454 * * [simplify]: Extracting #4: cost 8 inf + 2 143.454 * * [simplify]: Extracting #5: cost 2 inf + 729 143.454 * * [simplify]: Extracting #6: cost 0 inf + 972 143.454 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 143.454 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.454 * * * * [progress]: [ 381 / 414 ] simplifiying candidate # 143.455 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 143.455 * * [simplify]: iters left: 5 (7 enodes) 143.457 * * [simplify]: iters left: 4 (25 enodes) 143.462 * * [simplify]: iters left: 3 (27 enodes) 143.467 * * [simplify]: Extracting #0: cost 1 inf + 0 143.467 * * [simplify]: Extracting #1: cost 4 inf + 0 143.467 * * [simplify]: Extracting #2: cost 5 inf + 1 143.467 * * [simplify]: Extracting #3: cost 7 inf + 1 143.467 * * [simplify]: Extracting #4: cost 6 inf + 2 143.467 * * [simplify]: Extracting #5: cost 2 inf + 368 143.468 * * [simplify]: Extracting #6: cost 0 inf + 490 143.468 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.468 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.468 * * * * [progress]: [ 382 / 414 ] simplifiying candidate # 143.468 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 143.469 * * [simplify]: iters left: 5 (5 enodes) 143.479 * * [simplify]: iters left: 4 (19 enodes) 143.484 * * [simplify]: iters left: 3 (21 enodes) 143.487 * * [simplify]: Extracting #0: cost 1 inf + 0 143.487 * * [simplify]: Extracting #1: cost 0 inf + 1 143.487 * [simplify]: Simplified to 1 143.487 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.487 * * * * [progress]: [ 383 / 414 ] simplifiying candidate # 143.487 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 143.487 * * [simplify]: iters left: 5 (7 enodes) 143.490 * * [simplify]: iters left: 4 (25 enodes) 143.494 * * [simplify]: iters left: 3 (27 enodes) 143.498 * * [simplify]: Extracting #0: cost 1 inf + 0 143.499 * * [simplify]: Extracting #1: cost 4 inf + 0 143.499 * * [simplify]: Extracting #2: cost 5 inf + 1 143.499 * * [simplify]: Extracting #3: cost 7 inf + 1 143.499 * * [simplify]: Extracting #4: cost 6 inf + 2 143.499 * * [simplify]: Extracting #5: cost 2 inf + 368 143.499 * * [simplify]: Extracting #6: cost 0 inf + 490 143.499 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.499 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.499 * * * * [progress]: [ 384 / 414 ] simplifiying candidate # 143.499 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 143.499 * * [simplify]: iters left: 5 (4 enodes) 143.504 * * [simplify]: iters left: 4 (14 enodes) 143.506 * * [simplify]: iters left: 3 (16 enodes) 143.508 * * [simplify]: Extracting #0: cost 1 inf + 0 143.508 * * [simplify]: Extracting #1: cost 0 inf + 1 143.508 * [simplify]: Simplified to 1 143.508 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.508 * * * * [progress]: [ 385 / 414 ] simplifiying candidate # 143.508 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.508 * * [simplify]: iters left: 6 (7 enodes) 143.511 * * [simplify]: iters left: 5 (25 enodes) 143.515 * * [simplify]: iters left: 4 (32 enodes) 143.525 * * [simplify]: iters left: 3 (34 enodes) 143.530 * * [simplify]: Extracting #0: cost 1 inf + 0 143.530 * * [simplify]: Extracting #1: cost 7 inf + 0 143.530 * * [simplify]: Extracting #2: cost 11 inf + 1 143.531 * * [simplify]: Extracting #3: cost 13 inf + 1 143.531 * * [simplify]: Extracting #4: cost 10 inf + 84 143.531 * * [simplify]: Extracting #5: cost 4 inf + 1014 143.531 * * [simplify]: Extracting #6: cost 1 inf + 1498 143.531 * * [simplify]: Extracting #7: cost 0 inf + 1700 143.531 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 143.531 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.532 * * * * [progress]: [ 386 / 414 ] simplifiying candidate # 143.532 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 143.532 * * [simplify]: iters left: 6 (7 enodes) 143.534 * * [simplify]: iters left: 5 (24 enodes) 143.538 * * [simplify]: iters left: 4 (26 enodes) 143.542 * * [simplify]: Extracting #0: cost 1 inf + 0 143.542 * * [simplify]: Extracting #1: cost 4 inf + 0 143.542 * * [simplify]: Extracting #2: cost 6 inf + 1 143.542 * * [simplify]: Extracting #3: cost 9 inf + 1 143.542 * * [simplify]: Extracting #4: cost 8 inf + 2 143.542 * * [simplify]: Extracting #5: cost 2 inf + 730 143.542 * * [simplify]: Extracting #6: cost 0 inf + 972 143.543 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 143.543 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.543 * * * * [progress]: [ 387 / 414 ] simplifiying candidate # 143.543 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 143.543 * * [simplify]: iters left: 4 (6 enodes) 143.545 * * [simplify]: iters left: 3 (20 enodes) 143.548 * * [simplify]: iters left: 2 (22 enodes) 143.552 * * [simplify]: Extracting #0: cost 1 inf + 0 143.552 * * [simplify]: Extracting #1: cost 4 inf + 0 143.552 * * [simplify]: Extracting #2: cost 5 inf + 1 143.552 * * [simplify]: Extracting #3: cost 7 inf + 1 143.552 * * [simplify]: Extracting #4: cost 1 inf + 368 143.552 * * [simplify]: Extracting #5: cost 0 inf + 490 143.552 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.552 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.552 * * * * [progress]: [ 388 / 414 ] simplifiying candidate # 143.553 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 143.553 * * [simplify]: iters left: 3 (3 enodes) 143.556 * * [simplify]: iters left: 2 (9 enodes) 143.559 * * [simplify]: iters left: 1 (11 enodes) 143.562 * * [simplify]: Extracting #0: cost 1 inf + 0 143.562 * * [simplify]: Extracting #1: cost 0 inf + 1 143.562 * [simplify]: Simplified to 1 143.562 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.562 * * * * [progress]: [ 389 / 414 ] simplifiying candidate # 143.563 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 143.563 * * [simplify]: iters left: 4 (6 enodes) 143.567 * * [simplify]: iters left: 3 (20 enodes) 143.573 * * [simplify]: iters left: 2 (22 enodes) 143.579 * * [simplify]: Extracting #0: cost 1 inf + 0 143.579 * * [simplify]: Extracting #1: cost 4 inf + 0 143.579 * * [simplify]: Extracting #2: cost 5 inf + 1 143.580 * * [simplify]: Extracting #3: cost 7 inf + 1 143.580 * * [simplify]: Extracting #4: cost 1 inf + 368 143.580 * * [simplify]: Extracting #5: cost 0 inf + 490 143.580 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.580 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.580 * * * * [progress]: [ 390 / 414 ] simplifiying candidate # 143.580 * [simplify]: Simplifying (/ (sqrt 1) 1) 143.580 * * [simplify]: iters left: 3 (3 enodes) 143.583 * * [simplify]: iters left: 2 (9 enodes) 143.584 * * [simplify]: iters left: 1 (11 enodes) 143.586 * * [simplify]: Extracting #0: cost 1 inf + 0 143.586 * * [simplify]: Extracting #1: cost 0 inf + 1 143.586 * [simplify]: Simplified to 1 143.586 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.586 * * * * [progress]: [ 391 / 414 ] simplifiying candidate # 143.586 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.586 * * [simplify]: iters left: 6 (6 enodes) 143.588 * * [simplify]: iters left: 5 (22 enodes) 143.591 * * [simplify]: iters left: 4 (26 enodes) 143.595 * * [simplify]: Extracting #0: cost 1 inf + 0 143.595 * * [simplify]: Extracting #1: cost 6 inf + 0 143.595 * * [simplify]: Extracting #2: cost 9 inf + 1 143.595 * * [simplify]: Extracting #3: cost 11 inf + 1 143.595 * * [simplify]: Extracting #4: cost 8 inf + 84 143.596 * * [simplify]: Extracting #5: cost 2 inf + 1013 143.596 * * [simplify]: Extracting #6: cost 0 inf + 1376 143.596 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 143.596 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.596 * * * * [progress]: [ 392 / 414 ] simplifiying candidate # 143.596 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 143.596 * * [simplify]: iters left: 6 (6 enodes) 143.598 * * [simplify]: iters left: 5 (21 enodes) 143.601 * * [simplify]: iters left: 4 (23 enodes) 143.605 * * [simplify]: Extracting #0: cost 1 inf + 0 143.605 * * [simplify]: Extracting #1: cost 4 inf + 0 143.605 * * [simplify]: Extracting #2: cost 6 inf + 1 143.605 * * [simplify]: Extracting #3: cost 9 inf + 1 143.605 * * [simplify]: Extracting #4: cost 8 inf + 2 143.606 * * [simplify]: Extracting #5: cost 1 inf + 810 143.606 * * [simplify]: Extracting #6: cost 0 inf + 972 143.606 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 143.606 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.606 * * * * [progress]: [ 393 / 414 ] simplifiying candidate # 143.606 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 143.606 * * [simplify]: iters left: 4 (5 enodes) 143.608 * * [simplify]: iters left: 3 (17 enodes) 143.610 * * [simplify]: iters left: 2 (19 enodes) 143.613 * * [simplify]: Extracting #0: cost 1 inf + 0 143.614 * * [simplify]: Extracting #1: cost 4 inf + 0 143.614 * * [simplify]: Extracting #2: cost 5 inf + 1 143.614 * * [simplify]: Extracting #3: cost 7 inf + 1 143.614 * * [simplify]: Extracting #4: cost 0 inf + 490 143.614 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.614 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.614 * * * * [progress]: [ 394 / 414 ] simplifiying candidate # 143.614 * [simplify]: Simplifying (/ 1 (sqrt 1)) 143.614 * * [simplify]: iters left: 3 (3 enodes) 143.618 * * [simplify]: iters left: 2 (11 enodes) 143.619 * * [simplify]: iters left: 1 (13 enodes) 143.621 * * [simplify]: Extracting #0: cost 1 inf + 0 143.621 * * [simplify]: Extracting #1: cost 0 inf + 1 143.621 * [simplify]: Simplified to 1 143.621 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.622 * * * * [progress]: [ 395 / 414 ] simplifiying candidate # 143.622 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 143.622 * * [simplify]: iters left: 4 (5 enodes) 143.623 * * [simplify]: iters left: 3 (17 enodes) 143.631 * * [simplify]: iters left: 2 (19 enodes) 143.637 * * [simplify]: Extracting #0: cost 1 inf + 0 143.637 * * [simplify]: Extracting #1: cost 4 inf + 0 143.637 * * [simplify]: Extracting #2: cost 5 inf + 1 143.637 * * [simplify]: Extracting #3: cost 7 inf + 1 143.637 * * [simplify]: Extracting #4: cost 0 inf + 490 143.637 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 143.637 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.638 * * * * [progress]: [ 396 / 414 ] simplifiying candidate # 143.638 * [simplify]: Simplifying (/ 1 1) 143.638 * * [simplify]: iters left: 2 (2 enodes) 143.639 * * [simplify]: iters left: 1 (6 enodes) 143.641 * * [simplify]: Extracting #0: cost 1 inf + 0 143.641 * * [simplify]: Extracting #1: cost 0 inf + 1 143.642 * [simplify]: Simplified to 1 143.642 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.642 * * * * [progress]: [ 397 / 414 ] simplifiying candidate # 143.642 * * * * [progress]: [ 398 / 414 ] simplifiying candidate # 143.642 * * * * [progress]: [ 399 / 414 ] simplifiying candidate # 143.642 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 143.642 * * [simplify]: iters left: 5 (7 enodes) 143.646 * * [simplify]: iters left: 4 (28 enodes) 143.652 * * [simplify]: iters left: 3 (43 enodes) 143.660 * * [simplify]: iters left: 2 (74 enodes) 143.674 * * [simplify]: iters left: 1 (151 enodes) 143.715 * * [simplify]: Extracting #0: cost 1 inf + 0 143.715 * * [simplify]: Extracting #1: cost 12 inf + 0 143.716 * * [simplify]: Extracting #2: cost 54 inf + 1 143.716 * * [simplify]: Extracting #3: cost 71 inf + 135 143.717 * * [simplify]: Extracting #4: cost 32 inf + 4638 143.719 * * [simplify]: Extracting #5: cost 6 inf + 15744 143.722 * * [simplify]: Extracting #6: cost 0 inf + 18744 143.730 * * [simplify]: Extracting #7: cost 0 inf + 18624 143.734 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 143.735 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ k 4))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 143.735 * * * * [progress]: [ 400 / 414 ] simplifiying candidate # 143.735 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 143.735 * * [simplify]: iters left: 6 (10 enodes) 143.742 * * [simplify]: iters left: 5 (44 enodes) 143.758 * * [simplify]: iters left: 4 (75 enodes) 143.782 * * [simplify]: iters left: 3 (120 enodes) 143.807 * * [simplify]: iters left: 2 (223 enodes) 143.900 * * [simplify]: iters left: 1 (432 enodes) 144.118 * * [simplify]: Extracting #0: cost 1 inf + 0 144.118 * * [simplify]: Extracting #1: cost 20 inf + 0 144.119 * * [simplify]: Extracting #2: cost 88 inf + 2 144.120 * * [simplify]: Extracting #3: cost 154 inf + 9 144.122 * * [simplify]: Extracting #4: cost 157 inf + 1890 144.127 * * [simplify]: Extracting #5: cost 71 inf + 12739 144.140 * * [simplify]: Extracting #6: cost 17 inf + 32984 144.159 * * [simplify]: Extracting #7: cost 0 inf + 46332 144.179 * * [simplify]: Extracting #8: cost 0 inf + 45626 144.198 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 144.198 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.198 * * * * [progress]: [ 401 / 414 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2))))> 144.198 * * * * [progress]: [ 402 / 414 ] simplifiying candidate # 144.198 * * * * [progress]: [ 403 / 414 ] simplifiying candidate # 144.198 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 144.199 * * [simplify]: iters left: 6 (18 enodes) 144.214 * * [simplify]: iters left: 5 (83 enodes) 144.251 * * [simplify]: iters left: 4 (217 enodes) 144.342 * * [simplify]: Extracting #0: cost 1 inf + 0 144.342 * * [simplify]: Extracting #1: cost 30 inf + 0 144.343 * * [simplify]: Extracting #2: cost 133 inf + 3 144.343 * * [simplify]: Extracting #3: cost 153 inf + 1555 144.346 * * [simplify]: Extracting #4: cost 48 inf + 27042 144.353 * * [simplify]: Extracting #5: cost 1 inf + 39385 144.359 * * [simplify]: Extracting #6: cost 0 inf + 39357 144.371 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 144.371 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))))) 144.371 * * * * [progress]: [ 404 / 414 ] simplifiying candidate # 144.372 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 144.372 * * [simplify]: iters left: 6 (10 enodes) 144.379 * * [simplify]: iters left: 5 (44 enodes) 144.394 * * [simplify]: iters left: 4 (87 enodes) 144.429 * * [simplify]: iters left: 3 (211 enodes) 144.528 * * [simplify]: Extracting #0: cost 1 inf + 0 144.529 * * [simplify]: Extracting #1: cost 32 inf + 0 144.529 * * [simplify]: Extracting #2: cost 115 inf + 2 144.530 * * [simplify]: Extracting #3: cost 148 inf + 1208 144.535 * * [simplify]: Extracting #4: cost 61 inf + 14505 144.544 * * [simplify]: Extracting #5: cost 8 inf + 26237 144.554 * * [simplify]: Extracting #6: cost 1 inf + 30263 144.565 * * [simplify]: Extracting #7: cost 0 inf + 31149 144.578 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 144.578 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (exp (* (log n) (* 1/2 (- 1 k)))))) 144.579 * * * * [progress]: [ 405 / 414 ] simplifiying candidate # 144.579 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 144.579 * * [simplify]: iters left: 6 (13 enodes) 144.587 * * [simplify]: iters left: 5 (53 enodes) 144.606 * * [simplify]: iters left: 4 (109 enodes) 144.631 * * [simplify]: iters left: 3 (311 enodes) 144.822 * * [simplify]: Extracting #0: cost 1 inf + 0 144.822 * * [simplify]: Extracting #1: cost 34 inf + 0 144.823 * * [simplify]: Extracting #2: cost 135 inf + 73 144.825 * * [simplify]: Extracting #3: cost 194 inf + 2919 144.831 * * [simplify]: Extracting #4: cost 87 inf + 21540 144.845 * * [simplify]: Extracting #5: cost 7 inf + 41330 144.861 * * [simplify]: Extracting #6: cost 0 inf + 43042 144.878 * * [simplify]: Extracting #7: cost 0 inf + 43035 144.894 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 144.894 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (sqrt (exp (- (log n) (* k (log n))))))) 144.894 * * * * [progress]: [ 406 / 414 ] simplifiying candidate # 144.895 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 144.895 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.895 * * * * [progress]: [ 407 / 414 ] simplifiying candidate # 144.895 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 144.895 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.895 * * * * [progress]: [ 408 / 414 ] simplifiying candidate # 144.896 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 144.896 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.896 * * * * [progress]: [ 409 / 414 ] simplifiying candidate # 144.896 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 144.896 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 144.897 * * * * [progress]: [ 410 / 414 ] simplifiying candidate # 144.897 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 144.897 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 144.897 * * * * [progress]: [ 411 / 414 ] simplifiying candidate # 144.898 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 144.898 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 144.898 * * * * [progress]: [ 412 / 414 ] simplifiying candidate # 144.898 * [simplify]: Simplifying (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 144.898 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.898 * * * * [progress]: [ 413 / 414 ] simplifiying candidate # 144.899 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 144.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.899 * * * * [progress]: [ 414 / 414 ] simplifiying candidate # 144.899 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 144.899 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 144.900 * * * [progress]: adding candidates to table 151.160 * * [progress]: iteration 4 / 4 151.160 * * * [progress]: picking best candidate 151.187 * * * * [pick]: Picked # 151.187 * * * [progress]: localizing error 151.228 * * * [progress]: generating rewritten candidates 151.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 151.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 151.239 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 151.376 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 151.421 * * * [progress]: generating series expansions 151.421 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 151.421 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 151.421 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 151.421 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 151.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 151.421 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 151.421 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 151.421 * [taylor]: Taking taylor expansion of 1/2 in k 151.421 * [backup-simplify]: Simplify 1/2 into 1/2 151.421 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.421 * [taylor]: Taking taylor expansion of 1 in k 151.421 * [backup-simplify]: Simplify 1 into 1 151.421 * [taylor]: Taking taylor expansion of k in k 151.421 * [backup-simplify]: Simplify 0 into 0 151.421 * [backup-simplify]: Simplify 1 into 1 151.421 * [taylor]: Taking taylor expansion of (log n) in k 151.421 * [taylor]: Taking taylor expansion of n in k 151.421 * [backup-simplify]: Simplify n into n 151.421 * [backup-simplify]: Simplify (log n) into (log n) 151.422 * [backup-simplify]: Simplify (- 0) into 0 151.422 * [backup-simplify]: Simplify (+ 1 0) into 1 151.422 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 151.422 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 151.423 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 151.423 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 151.423 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 151.423 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 151.423 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 151.423 * [taylor]: Taking taylor expansion of 1/2 in n 151.423 * [backup-simplify]: Simplify 1/2 into 1/2 151.423 * [taylor]: Taking taylor expansion of (- 1 k) in n 151.423 * [taylor]: Taking taylor expansion of 1 in n 151.423 * [backup-simplify]: Simplify 1 into 1 151.423 * [taylor]: Taking taylor expansion of k in n 151.423 * [backup-simplify]: Simplify k into k 151.423 * [taylor]: Taking taylor expansion of (log n) in n 151.423 * [taylor]: Taking taylor expansion of n in n 151.423 * [backup-simplify]: Simplify 0 into 0 151.428 * [backup-simplify]: Simplify 1 into 1 151.428 * [backup-simplify]: Simplify (log 1) into 0 151.428 * [backup-simplify]: Simplify (- k) into (- k) 151.428 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 151.428 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 151.429 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.429 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 151.429 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 151.429 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 151.429 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 151.429 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 151.429 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 151.429 * [taylor]: Taking taylor expansion of 1/2 in n 151.429 * [backup-simplify]: Simplify 1/2 into 1/2 151.429 * [taylor]: Taking taylor expansion of (- 1 k) in n 151.429 * [taylor]: Taking taylor expansion of 1 in n 151.429 * [backup-simplify]: Simplify 1 into 1 151.429 * [taylor]: Taking taylor expansion of k in n 151.429 * [backup-simplify]: Simplify k into k 151.429 * [taylor]: Taking taylor expansion of (log n) in n 151.429 * [taylor]: Taking taylor expansion of n in n 151.429 * [backup-simplify]: Simplify 0 into 0 151.429 * [backup-simplify]: Simplify 1 into 1 151.429 * [backup-simplify]: Simplify (log 1) into 0 151.429 * [backup-simplify]: Simplify (- k) into (- k) 151.429 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 151.430 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 151.430 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.430 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 151.430 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 151.430 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 151.430 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 151.430 * [taylor]: Taking taylor expansion of 1/2 in k 151.430 * [backup-simplify]: Simplify 1/2 into 1/2 151.430 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 151.430 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.430 * [taylor]: Taking taylor expansion of 1 in k 151.430 * [backup-simplify]: Simplify 1 into 1 151.430 * [taylor]: Taking taylor expansion of k in k 151.430 * [backup-simplify]: Simplify 0 into 0 151.430 * [backup-simplify]: Simplify 1 into 1 151.430 * [taylor]: Taking taylor expansion of (log n) in k 151.430 * [taylor]: Taking taylor expansion of n in k 151.430 * [backup-simplify]: Simplify n into n 151.430 * [backup-simplify]: Simplify (log n) into (log n) 151.431 * [backup-simplify]: Simplify (- 0) into 0 151.431 * [backup-simplify]: Simplify (+ 1 0) into 1 151.431 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 151.431 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 151.431 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 151.431 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 151.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 151.432 * [backup-simplify]: Simplify (- 0) into 0 151.432 * [backup-simplify]: Simplify (+ 0 0) into 0 151.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 151.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 151.434 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 151.434 * [taylor]: Taking taylor expansion of 0 in k 151.434 * [backup-simplify]: Simplify 0 into 0 151.434 * [backup-simplify]: Simplify 0 into 0 151.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 151.434 * [backup-simplify]: Simplify (- 1) into -1 151.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 151.435 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 151.435 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 151.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 151.435 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 151.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 151.438 * [backup-simplify]: Simplify (- 0) into 0 151.439 * [backup-simplify]: Simplify (+ 0 0) into 0 151.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 151.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.440 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 151.442 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 151.442 * [taylor]: Taking taylor expansion of 0 in k 151.442 * [backup-simplify]: Simplify 0 into 0 151.442 * [backup-simplify]: Simplify 0 into 0 151.442 * [backup-simplify]: Simplify 0 into 0 151.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 151.444 * [backup-simplify]: Simplify (- 0) into 0 151.444 * [backup-simplify]: Simplify (+ 0 0) into 0 151.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 151.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 151.447 * [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))) 151.447 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 151.447 * [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)))) 151.448 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 151.448 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 151.448 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 151.448 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 151.448 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 151.448 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 151.448 * [taylor]: Taking taylor expansion of 1/2 in k 151.448 * [backup-simplify]: Simplify 1/2 into 1/2 151.448 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 151.448 * [taylor]: Taking taylor expansion of 1 in k 151.448 * [backup-simplify]: Simplify 1 into 1 151.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.448 * [taylor]: Taking taylor expansion of k in k 151.448 * [backup-simplify]: Simplify 0 into 0 151.448 * [backup-simplify]: Simplify 1 into 1 151.448 * [backup-simplify]: Simplify (/ 1 1) into 1 151.449 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 151.449 * [taylor]: Taking taylor expansion of (/ 1 n) in k 151.449 * [taylor]: Taking taylor expansion of n in k 151.449 * [backup-simplify]: Simplify n into n 151.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 151.449 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 151.449 * [backup-simplify]: Simplify (- 1) into -1 151.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 151.450 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 151.450 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 151.450 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 151.450 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 151.450 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 151.450 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 151.450 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 151.450 * [taylor]: Taking taylor expansion of 1/2 in n 151.450 * [backup-simplify]: Simplify 1/2 into 1/2 151.450 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 151.451 * [taylor]: Taking taylor expansion of 1 in n 151.451 * [backup-simplify]: Simplify 1 into 1 151.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 151.451 * [taylor]: Taking taylor expansion of k in n 151.451 * [backup-simplify]: Simplify k into k 151.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 151.451 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 151.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 151.451 * [taylor]: Taking taylor expansion of n in n 151.451 * [backup-simplify]: Simplify 0 into 0 151.451 * [backup-simplify]: Simplify 1 into 1 151.451 * [backup-simplify]: Simplify (/ 1 1) into 1 151.452 * [backup-simplify]: Simplify (log 1) into 0 151.452 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 151.452 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 151.452 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 151.452 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 151.452 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 151.453 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 151.453 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 151.453 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 151.453 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 151.453 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 151.453 * [taylor]: Taking taylor expansion of 1/2 in n 151.453 * [backup-simplify]: Simplify 1/2 into 1/2 151.453 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 151.453 * [taylor]: Taking taylor expansion of 1 in n 151.453 * [backup-simplify]: Simplify 1 into 1 151.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 151.453 * [taylor]: Taking taylor expansion of k in n 151.453 * [backup-simplify]: Simplify k into k 151.453 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 151.453 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 151.453 * [taylor]: Taking taylor expansion of (/ 1 n) in n 151.453 * [taylor]: Taking taylor expansion of n in n 151.453 * [backup-simplify]: Simplify 0 into 0 151.453 * [backup-simplify]: Simplify 1 into 1 151.454 * [backup-simplify]: Simplify (/ 1 1) into 1 151.454 * [backup-simplify]: Simplify (log 1) into 0 151.454 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 151.454 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 151.454 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 151.455 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 151.455 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 151.455 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 151.455 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 151.455 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 151.455 * [taylor]: Taking taylor expansion of -1/2 in k 151.455 * [backup-simplify]: Simplify -1/2 into -1/2 151.455 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 151.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 151.455 * [taylor]: Taking taylor expansion of 1 in k 151.455 * [backup-simplify]: Simplify 1 into 1 151.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.455 * [taylor]: Taking taylor expansion of k in k 151.455 * [backup-simplify]: Simplify 0 into 0 151.455 * [backup-simplify]: Simplify 1 into 1 151.456 * [backup-simplify]: Simplify (/ 1 1) into 1 151.456 * [taylor]: Taking taylor expansion of (log n) in k 151.456 * [taylor]: Taking taylor expansion of n in k 151.456 * [backup-simplify]: Simplify n into n 151.456 * [backup-simplify]: Simplify (log n) into (log n) 151.456 * [backup-simplify]: Simplify (- 1) into -1 151.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 151.457 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 151.457 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 151.457 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 151.457 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 151.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 151.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 151.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 151.460 * [backup-simplify]: Simplify (- 0) into 0 151.460 * [backup-simplify]: Simplify (+ 0 0) into 0 151.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 151.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 151.461 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 151.463 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 151.463 * [taylor]: Taking taylor expansion of 0 in k 151.463 * [backup-simplify]: Simplify 0 into 0 151.463 * [backup-simplify]: Simplify 0 into 0 151.463 * [backup-simplify]: Simplify 0 into 0 151.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 151.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 151.467 * [backup-simplify]: Simplify (- 0) into 0 151.468 * [backup-simplify]: Simplify (+ 0 0) into 0 151.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 151.469 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 151.470 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 151.471 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 151.471 * [taylor]: Taking taylor expansion of 0 in k 151.471 * [backup-simplify]: Simplify 0 into 0 151.471 * [backup-simplify]: Simplify 0 into 0 151.471 * [backup-simplify]: Simplify 0 into 0 151.472 * [backup-simplify]: Simplify 0 into 0 151.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.478 * [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 0 151.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 151.479 * [backup-simplify]: Simplify (- 0) into 0 151.479 * [backup-simplify]: Simplify (+ 0 0) into 0 151.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 151.481 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 151.482 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 151.483 * [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 0 151.483 * [taylor]: Taking taylor expansion of 0 in k 151.483 * [backup-simplify]: Simplify 0 into 0 151.484 * [backup-simplify]: Simplify 0 into 0 151.484 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 151.484 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 151.484 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 151.484 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 151.484 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 151.484 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 151.484 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 151.484 * [taylor]: Taking taylor expansion of 1/2 in k 151.484 * [backup-simplify]: Simplify 1/2 into 1/2 151.484 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 151.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.484 * [taylor]: Taking taylor expansion of k in k 151.484 * [backup-simplify]: Simplify 0 into 0 151.484 * [backup-simplify]: Simplify 1 into 1 151.485 * [backup-simplify]: Simplify (/ 1 1) into 1 151.485 * [taylor]: Taking taylor expansion of 1 in k 151.485 * [backup-simplify]: Simplify 1 into 1 151.485 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 151.485 * [taylor]: Taking taylor expansion of (/ -1 n) in k 151.485 * [taylor]: Taking taylor expansion of -1 in k 151.485 * [backup-simplify]: Simplify -1 into -1 151.485 * [taylor]: Taking taylor expansion of n in k 151.485 * [backup-simplify]: Simplify n into n 151.485 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 151.485 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 151.486 * [backup-simplify]: Simplify (+ 1 0) into 1 151.486 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 151.486 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 151.486 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 151.486 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 151.487 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 151.487 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 151.487 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 151.487 * [taylor]: Taking taylor expansion of 1/2 in n 151.487 * [backup-simplify]: Simplify 1/2 into 1/2 151.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 151.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 151.487 * [taylor]: Taking taylor expansion of k in n 151.487 * [backup-simplify]: Simplify k into k 151.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 151.487 * [taylor]: Taking taylor expansion of 1 in n 151.487 * [backup-simplify]: Simplify 1 into 1 151.487 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 151.487 * [taylor]: Taking taylor expansion of (/ -1 n) in n 151.487 * [taylor]: Taking taylor expansion of -1 in n 151.487 * [backup-simplify]: Simplify -1 into -1 151.487 * [taylor]: Taking taylor expansion of n in n 151.487 * [backup-simplify]: Simplify 0 into 0 151.487 * [backup-simplify]: Simplify 1 into 1 151.487 * [backup-simplify]: Simplify (/ -1 1) into -1 151.488 * [backup-simplify]: Simplify (log -1) into (log -1) 151.488 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 151.488 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 151.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 151.489 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 151.490 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 151.490 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 151.490 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 151.490 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 151.490 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 151.490 * [taylor]: Taking taylor expansion of 1/2 in n 151.490 * [backup-simplify]: Simplify 1/2 into 1/2 151.490 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 151.490 * [taylor]: Taking taylor expansion of (/ 1 k) in n 151.490 * [taylor]: Taking taylor expansion of k in n 151.490 * [backup-simplify]: Simplify k into k 151.490 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 151.490 * [taylor]: Taking taylor expansion of 1 in n 151.490 * [backup-simplify]: Simplify 1 into 1 151.490 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 151.490 * [taylor]: Taking taylor expansion of (/ -1 n) in n 151.490 * [taylor]: Taking taylor expansion of -1 in n 151.490 * [backup-simplify]: Simplify -1 into -1 151.490 * [taylor]: Taking taylor expansion of n in n 151.490 * [backup-simplify]: Simplify 0 into 0 151.490 * [backup-simplify]: Simplify 1 into 1 151.491 * [backup-simplify]: Simplify (/ -1 1) into -1 151.491 * [backup-simplify]: Simplify (log -1) into (log -1) 151.491 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 151.491 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 151.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 151.493 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 151.493 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 151.493 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 151.494 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 151.494 * [taylor]: Taking taylor expansion of 1/2 in k 151.494 * [backup-simplify]: Simplify 1/2 into 1/2 151.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 151.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 151.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.494 * [taylor]: Taking taylor expansion of k in k 151.494 * [backup-simplify]: Simplify 0 into 0 151.494 * [backup-simplify]: Simplify 1 into 1 151.494 * [backup-simplify]: Simplify (/ 1 1) into 1 151.494 * [taylor]: Taking taylor expansion of 1 in k 151.494 * [backup-simplify]: Simplify 1 into 1 151.494 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 151.494 * [taylor]: Taking taylor expansion of (log -1) in k 151.494 * [taylor]: Taking taylor expansion of -1 in k 151.494 * [backup-simplify]: Simplify -1 into -1 151.495 * [backup-simplify]: Simplify (log -1) into (log -1) 151.495 * [taylor]: Taking taylor expansion of (log n) in k 151.495 * [taylor]: Taking taylor expansion of n in k 151.495 * [backup-simplify]: Simplify n into n 151.495 * [backup-simplify]: Simplify (log n) into (log n) 151.495 * [backup-simplify]: Simplify (+ 1 0) into 1 151.495 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 151.496 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 151.496 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 151.496 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 151.497 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 151.497 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 151.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 151.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 151.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 151.499 * [backup-simplify]: Simplify (+ 0 0) into 0 151.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 151.500 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 151.500 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 151.501 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 151.501 * [taylor]: Taking taylor expansion of 0 in k 151.501 * [backup-simplify]: Simplify 0 into 0 151.501 * [backup-simplify]: Simplify 0 into 0 151.501 * [backup-simplify]: Simplify 0 into 0 151.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 151.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 151.503 * [backup-simplify]: Simplify (+ 0 0) into 0 151.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 151.504 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 151.505 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 151.506 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 151.506 * [taylor]: Taking taylor expansion of 0 in k 151.506 * [backup-simplify]: Simplify 0 into 0 151.506 * [backup-simplify]: Simplify 0 into 0 151.506 * [backup-simplify]: Simplify 0 into 0 151.506 * [backup-simplify]: Simplify 0 into 0 151.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.509 * [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 0 151.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 151.510 * [backup-simplify]: Simplify (+ 0 0) into 0 151.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 151.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 151.512 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 151.513 * [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 0 151.513 * [taylor]: Taking taylor expansion of 0 in k 151.513 * [backup-simplify]: Simplify 0 into 0 151.513 * [backup-simplify]: Simplify 0 into 0 151.513 * [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)))))) 151.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 151.514 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 151.514 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 151.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 151.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.514 * [taylor]: Taking taylor expansion of k in k 151.514 * [backup-simplify]: Simplify 0 into 0 151.514 * [backup-simplify]: Simplify 1 into 1 151.514 * [backup-simplify]: Simplify (/ 1 1) into 1 151.514 * [backup-simplify]: Simplify (sqrt 0) into 0 151.515 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 151.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.515 * [taylor]: Taking taylor expansion of k in k 151.515 * [backup-simplify]: Simplify 0 into 0 151.515 * [backup-simplify]: Simplify 1 into 1 151.515 * [backup-simplify]: Simplify (/ 1 1) into 1 151.516 * [backup-simplify]: Simplify (sqrt 0) into 0 151.516 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.517 * [backup-simplify]: Simplify 0 into 0 151.517 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 151.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 151.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 151.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.522 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 151.522 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 151.522 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0 151.522 * [taylor]: Taking taylor expansion of (sqrt k) in k 151.522 * [taylor]: Taking taylor expansion of k in k 151.522 * [backup-simplify]: Simplify 0 into 0 151.522 * [backup-simplify]: Simplify 1 into 1 151.522 * [backup-simplify]: Simplify (sqrt 0) into 0 151.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.523 * [taylor]: Taking taylor expansion of (sqrt k) in k 151.523 * [taylor]: Taking taylor expansion of k in k 151.523 * [backup-simplify]: Simplify 0 into 0 151.523 * [backup-simplify]: Simplify 1 into 1 151.523 * [backup-simplify]: Simplify (sqrt 0) into 0 151.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.524 * [backup-simplify]: Simplify 0 into 0 151.524 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.527 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 151.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 151.530 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.530 * [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)))))))) 151.530 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 151.530 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 151.530 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 151.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 151.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k 151.530 * [taylor]: Taking taylor expansion of -1 in k 151.530 * [backup-simplify]: Simplify -1 into -1 151.530 * [taylor]: Taking taylor expansion of k in k 151.530 * [backup-simplify]: Simplify 0 into 0 151.530 * [backup-simplify]: Simplify 1 into 1 151.531 * [backup-simplify]: Simplify (/ -1 1) into -1 151.531 * [backup-simplify]: Simplify (sqrt 0) into 0 151.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 151.532 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 151.532 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 151.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 151.532 * [taylor]: Taking taylor expansion of (/ -1 k) in k 151.532 * [taylor]: Taking taylor expansion of -1 in k 151.532 * [backup-simplify]: Simplify -1 into -1 151.532 * [taylor]: Taking taylor expansion of k in k 151.532 * [backup-simplify]: Simplify 0 into 0 151.532 * [backup-simplify]: Simplify 1 into 1 151.533 * [backup-simplify]: Simplify (/ -1 1) into -1 151.533 * [backup-simplify]: Simplify (sqrt 0) into 0 151.534 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 151.534 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 151.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 151.536 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 151.537 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 151.538 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 151.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 151.544 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 151.544 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 151.545 * [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))))) 151.545 * * * * [progress]: [ 3 / 4 ] generating series at (2) 151.546 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) into (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) 151.546 * [approximate]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in (k n) around 0 151.546 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in n 151.546 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in n 151.546 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 151.546 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 151.546 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 151.546 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 151.546 * [taylor]: Taking taylor expansion of 1/2 in n 151.546 * [backup-simplify]: Simplify 1/2 into 1/2 151.546 * [taylor]: Taking taylor expansion of (- 1 k) in n 151.546 * [taylor]: Taking taylor expansion of 1 in n 151.546 * [backup-simplify]: Simplify 1 into 1 151.546 * [taylor]: Taking taylor expansion of k in n 151.546 * [backup-simplify]: Simplify k into k 151.546 * [taylor]: Taking taylor expansion of (log n) in n 151.546 * [taylor]: Taking taylor expansion of n in n 151.546 * [backup-simplify]: Simplify 0 into 0 151.546 * [backup-simplify]: Simplify 1 into 1 151.547 * [backup-simplify]: Simplify (log 1) into 0 151.547 * [backup-simplify]: Simplify (- k) into (- k) 151.547 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 151.547 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 151.547 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.547 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 151.547 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 151.547 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in n 151.547 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in n 151.547 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in n 151.547 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in n 151.547 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n 151.547 * [taylor]: Taking taylor expansion of 1/4 in n 151.547 * [backup-simplify]: Simplify 1/4 into 1/4 151.547 * [taylor]: Taking taylor expansion of (- 1 k) in n 151.547 * [taylor]: Taking taylor expansion of 1 in n 151.547 * [backup-simplify]: Simplify 1 into 1 151.547 * [taylor]: Taking taylor expansion of k in n 151.547 * [backup-simplify]: Simplify k into k 151.547 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 151.547 * [taylor]: Taking taylor expansion of (* 2 PI) in n 151.547 * [taylor]: Taking taylor expansion of 2 in n 151.547 * [backup-simplify]: Simplify 2 into 2 151.547 * [taylor]: Taking taylor expansion of PI in n 151.547 * [backup-simplify]: Simplify PI into PI 151.548 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.548 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.548 * [backup-simplify]: Simplify (- k) into (- k) 151.548 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 151.548 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k)) 151.549 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (log (* 2 PI))) into (* 1/4 (* (- 1 k) (log (* 2 PI)))) 151.550 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 151.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 151.550 * [taylor]: Taking taylor expansion of (/ 1 k) in n 151.550 * [taylor]: Taking taylor expansion of k in n 151.550 * [backup-simplify]: Simplify k into k 151.550 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 151.550 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 151.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 151.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 151.550 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 151.550 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 151.550 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 151.550 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 151.550 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 151.550 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 151.550 * [taylor]: Taking taylor expansion of 1/2 in k 151.550 * [backup-simplify]: Simplify 1/2 into 1/2 151.550 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.550 * [taylor]: Taking taylor expansion of 1 in k 151.550 * [backup-simplify]: Simplify 1 into 1 151.550 * [taylor]: Taking taylor expansion of k in k 151.550 * [backup-simplify]: Simplify 0 into 0 151.550 * [backup-simplify]: Simplify 1 into 1 151.550 * [taylor]: Taking taylor expansion of (log n) in k 151.550 * [taylor]: Taking taylor expansion of n in k 151.550 * [backup-simplify]: Simplify n into n 151.550 * [backup-simplify]: Simplify (log n) into (log n) 151.551 * [backup-simplify]: Simplify (- 0) into 0 151.551 * [backup-simplify]: Simplify (+ 1 0) into 1 151.551 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 151.551 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 151.551 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 151.551 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 151.551 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 151.551 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 151.551 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 151.551 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 151.551 * [taylor]: Taking taylor expansion of 1/4 in k 151.551 * [backup-simplify]: Simplify 1/4 into 1/4 151.551 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.551 * [taylor]: Taking taylor expansion of 1 in k 151.551 * [backup-simplify]: Simplify 1 into 1 151.551 * [taylor]: Taking taylor expansion of k in k 151.551 * [backup-simplify]: Simplify 0 into 0 151.551 * [backup-simplify]: Simplify 1 into 1 151.551 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 151.551 * [taylor]: Taking taylor expansion of (* 2 PI) in k 151.551 * [taylor]: Taking taylor expansion of 2 in k 151.551 * [backup-simplify]: Simplify 2 into 2 151.551 * [taylor]: Taking taylor expansion of PI in k 151.551 * [backup-simplify]: Simplify PI into PI 151.552 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.552 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.553 * [backup-simplify]: Simplify (- 0) into 0 151.553 * [backup-simplify]: Simplify (+ 1 0) into 1 151.553 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 151.554 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 151.556 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 151.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 151.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.556 * [taylor]: Taking taylor expansion of k in k 151.556 * [backup-simplify]: Simplify 0 into 0 151.556 * [backup-simplify]: Simplify 1 into 1 151.556 * [backup-simplify]: Simplify (/ 1 1) into 1 151.556 * [backup-simplify]: Simplify (sqrt 0) into 0 151.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.558 * [taylor]: Taking taylor expansion of (* (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) (sqrt (/ 1 k))) in k 151.558 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2)) in k 151.558 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 151.558 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 151.558 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 151.558 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 151.558 * [taylor]: Taking taylor expansion of 1/2 in k 151.558 * [backup-simplify]: Simplify 1/2 into 1/2 151.558 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.558 * [taylor]: Taking taylor expansion of 1 in k 151.558 * [backup-simplify]: Simplify 1 into 1 151.558 * [taylor]: Taking taylor expansion of k in k 151.558 * [backup-simplify]: Simplify 0 into 0 151.558 * [backup-simplify]: Simplify 1 into 1 151.558 * [taylor]: Taking taylor expansion of (log n) in k 151.558 * [taylor]: Taking taylor expansion of n in k 151.558 * [backup-simplify]: Simplify n into n 151.558 * [backup-simplify]: Simplify (log n) into (log n) 151.559 * [backup-simplify]: Simplify (- 0) into 0 151.559 * [backup-simplify]: Simplify (+ 1 0) into 1 151.559 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 151.560 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 151.560 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 151.560 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 k))) 2) in k 151.560 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 151.560 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 151.560 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 151.560 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 151.560 * [taylor]: Taking taylor expansion of 1/4 in k 151.560 * [backup-simplify]: Simplify 1/4 into 1/4 151.560 * [taylor]: Taking taylor expansion of (- 1 k) in k 151.560 * [taylor]: Taking taylor expansion of 1 in k 151.560 * [backup-simplify]: Simplify 1 into 1 151.560 * [taylor]: Taking taylor expansion of k in k 151.560 * [backup-simplify]: Simplify 0 into 0 151.560 * [backup-simplify]: Simplify 1 into 1 151.560 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 151.560 * [taylor]: Taking taylor expansion of (* 2 PI) in k 151.560 * [taylor]: Taking taylor expansion of 2 in k 151.560 * [backup-simplify]: Simplify 2 into 2 151.560 * [taylor]: Taking taylor expansion of PI in k 151.560 * [backup-simplify]: Simplify PI into PI 151.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.562 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.562 * [backup-simplify]: Simplify (- 0) into 0 151.562 * [backup-simplify]: Simplify (+ 1 0) into 1 151.563 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 151.564 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 151.567 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 151.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 151.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 151.567 * [taylor]: Taking taylor expansion of k in k 151.567 * [backup-simplify]: Simplify 0 into 0 151.567 * [backup-simplify]: Simplify 1 into 1 151.567 * [backup-simplify]: Simplify (/ 1 1) into 1 151.568 * [backup-simplify]: Simplify (sqrt 0) into 0 151.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 151.572 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) (pow (* 2 PI) 1/4)) into (sqrt (* PI 2)) 151.573 * [backup-simplify]: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 151.573 * [backup-simplify]: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 151.573 * [taylor]: Taking taylor expansion of 0 in n 151.573 * [backup-simplify]: Simplify 0 into 0 151.573 * [backup-simplify]: Simplify 0 into 0 151.574 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 151.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 151.576 * [backup-simplify]: Simplify (- 1) into -1 151.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 151.577 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 151.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 151.593 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 151.609 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (pow (* 2 PI) 1/4))) into (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))) 151.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 151.610 * [backup-simplify]: Simplify (- 1) into -1 151.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 151.611 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 151.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 151.612 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 151.619 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 151.623 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))) 151.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 151.623 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 151.623 * [taylor]: Taking taylor expansion of +nan.0 in n 151.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.623 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 151.623 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.623 * [taylor]: Taking taylor expansion of 2 in n 151.623 * [backup-simplify]: Simplify 2 into 2 151.623 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.624 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.624 * [taylor]: Taking taylor expansion of (* n PI) in n 151.624 * [taylor]: Taking taylor expansion of n in n 151.624 * [backup-simplify]: Simplify 0 into 0 151.624 * [backup-simplify]: Simplify 1 into 1 151.624 * [taylor]: Taking taylor expansion of PI in n 151.624 * [backup-simplify]: Simplify PI into PI 151.624 * [backup-simplify]: Simplify (* 0 PI) into 0 151.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.626 * [backup-simplify]: Simplify (sqrt 0) into 0 151.628 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.628 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 151.629 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.629 * [backup-simplify]: Simplify (- 0) into 0 151.629 * [backup-simplify]: Simplify 0 into 0 151.629 * [backup-simplify]: Simplify 0 into 0 151.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 151.633 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 151.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 151.637 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 151.637 * [backup-simplify]: Simplify (- 0) into 0 151.637 * [backup-simplify]: Simplify (+ 0 0) into 0 151.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 151.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 151.654 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 151.689 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (pow (* 2 PI) 1/4)))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 151.690 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 151.691 * [backup-simplify]: Simplify (- 0) into 0 151.691 * [backup-simplify]: Simplify (+ 0 0) into 0 151.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 151.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 151.694 * [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))) 151.706 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 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)))))) 151.712 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))))))) 151.712 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))) in n 151.712 * [taylor]: Taking taylor expansion of (+ (* +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)))))))) in n 151.712 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 151.712 * [taylor]: Taking taylor expansion of +nan.0 in n 151.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.712 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 151.712 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 151.712 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.712 * [taylor]: Taking taylor expansion of 2 in n 151.712 * [backup-simplify]: Simplify 2 into 2 151.712 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.713 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 151.713 * [taylor]: Taking taylor expansion of (* 2 PI) in n 151.713 * [taylor]: Taking taylor expansion of 2 in n 151.713 * [backup-simplify]: Simplify 2 into 2 151.713 * [taylor]: Taking taylor expansion of PI in n 151.713 * [backup-simplify]: Simplify PI into PI 151.713 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.713 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.714 * [taylor]: Taking taylor expansion of (* n PI) in n 151.714 * [taylor]: Taking taylor expansion of n in n 151.714 * [backup-simplify]: Simplify 0 into 0 151.714 * [backup-simplify]: Simplify 1 into 1 151.714 * [taylor]: Taking taylor expansion of PI in n 151.714 * [backup-simplify]: Simplify PI into PI 151.714 * [backup-simplify]: Simplify (* 0 PI) into 0 151.715 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.715 * [backup-simplify]: Simplify (sqrt 0) into 0 151.716 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.716 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 151.716 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 151.716 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 151.716 * [taylor]: Taking taylor expansion of +nan.0 in n 151.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.716 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 151.716 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.716 * [taylor]: Taking taylor expansion of 2 in n 151.716 * [backup-simplify]: Simplify 2 into 2 151.716 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.717 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.717 * [taylor]: Taking taylor expansion of (* n PI) in n 151.717 * [taylor]: Taking taylor expansion of n in n 151.717 * [backup-simplify]: Simplify 0 into 0 151.717 * [backup-simplify]: Simplify 1 into 1 151.717 * [taylor]: Taking taylor expansion of PI in n 151.717 * [backup-simplify]: Simplify PI into PI 151.717 * [backup-simplify]: Simplify (* 0 PI) into 0 151.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.718 * [backup-simplify]: Simplify (sqrt 0) into 0 151.719 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.719 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 151.719 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 151.719 * [taylor]: Taking taylor expansion of +nan.0 in n 151.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.719 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 151.719 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 151.719 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.719 * [taylor]: Taking taylor expansion of 2 in n 151.719 * [backup-simplify]: Simplify 2 into 2 151.719 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.720 * [taylor]: Taking taylor expansion of (log n) in n 151.720 * [taylor]: Taking taylor expansion of n in n 151.720 * [backup-simplify]: Simplify 0 into 0 151.720 * [backup-simplify]: Simplify 1 into 1 151.720 * [backup-simplify]: Simplify (log 1) into 0 151.720 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.720 * [taylor]: Taking taylor expansion of (* n PI) in n 151.720 * [taylor]: Taking taylor expansion of n in n 151.720 * [backup-simplify]: Simplify 0 into 0 151.720 * [backup-simplify]: Simplify 1 into 1 151.720 * [taylor]: Taking taylor expansion of PI in n 151.720 * [backup-simplify]: Simplify PI into PI 151.720 * [backup-simplify]: Simplify (* 0 PI) into 0 151.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.722 * [backup-simplify]: Simplify (sqrt 0) into 0 151.722 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.724 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 151.724 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 151.724 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.725 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 151.725 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.725 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.726 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 151.726 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 151.726 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.726 * [backup-simplify]: Simplify (- 0) into 0 151.727 * [backup-simplify]: Simplify (+ 0 0) into 0 151.727 * [backup-simplify]: Simplify (- 0) into 0 151.727 * [backup-simplify]: Simplify (+ 0 0) into 0 151.727 * [backup-simplify]: Simplify (- 0) into 0 151.727 * [backup-simplify]: Simplify 0 into 0 151.729 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 151.732 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 151.735 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 151.738 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 151.738 * [backup-simplify]: Simplify 0 into 0 151.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 151.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 151.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 151.750 * [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 0 151.750 * [backup-simplify]: Simplify (- 0) into 0 151.751 * [backup-simplify]: Simplify (+ 0 0) into 0 151.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 151.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 151.773 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 151.830 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI))))) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) (pow (* 2 PI) 1/4))))) into (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI)))) 151.833 * [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 0 151.834 * [backup-simplify]: Simplify (- 0) into 0 151.834 * [backup-simplify]: Simplify (+ 0 0) into 0 151.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 151.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 151.838 * [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))) 151.859 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (- (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt PI))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 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)))))))) 151.869 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +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))))))))))))))) 151.870 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))))))) in n 151.870 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))))))) in n 151.870 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 151.870 * [taylor]: Taking taylor expansion of +nan.0 in n 151.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.870 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 151.870 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 151.870 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.870 * [taylor]: Taking taylor expansion of 2 in n 151.870 * [backup-simplify]: Simplify 2 into 2 151.870 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.871 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 151.871 * [taylor]: Taking taylor expansion of (log n) in n 151.871 * [taylor]: Taking taylor expansion of n in n 151.871 * [backup-simplify]: Simplify 0 into 0 151.871 * [backup-simplify]: Simplify 1 into 1 151.871 * [backup-simplify]: Simplify (log 1) into 0 151.871 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.871 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.871 * [taylor]: Taking taylor expansion of (* n PI) in n 151.871 * [taylor]: Taking taylor expansion of n in n 151.871 * [backup-simplify]: Simplify 0 into 0 151.871 * [backup-simplify]: Simplify 1 into 1 151.871 * [taylor]: Taking taylor expansion of PI in n 151.871 * [backup-simplify]: Simplify PI into PI 151.872 * [backup-simplify]: Simplify (* 0 PI) into 0 151.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.873 * [backup-simplify]: Simplify (sqrt 0) into 0 151.874 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.874 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))))) in n 151.874 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))))) in n 151.874 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 151.874 * [taylor]: Taking taylor expansion of +nan.0 in n 151.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.874 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 151.874 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log n)) in n 151.874 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.874 * [taylor]: Taking taylor expansion of 2 in n 151.874 * [backup-simplify]: Simplify 2 into 2 151.874 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.875 * [taylor]: Taking taylor expansion of (log n) in n 151.875 * [taylor]: Taking taylor expansion of n in n 151.875 * [backup-simplify]: Simplify 0 into 0 151.875 * [backup-simplify]: Simplify 1 into 1 151.875 * [backup-simplify]: Simplify (log 1) into 0 151.875 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.875 * [taylor]: Taking taylor expansion of (* n PI) in n 151.875 * [taylor]: Taking taylor expansion of n in n 151.875 * [backup-simplify]: Simplify 0 into 0 151.875 * [backup-simplify]: Simplify 1 into 1 151.875 * [taylor]: Taking taylor expansion of PI in n 151.875 * [backup-simplify]: Simplify PI into PI 151.875 * [backup-simplify]: Simplify (* 0 PI) into 0 151.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.876 * [backup-simplify]: Simplify (sqrt 0) into 0 151.877 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.877 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))))) in n 151.877 * [taylor]: Taking taylor expansion of (+ (* +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)))))))))) in n 151.877 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 151.877 * [taylor]: Taking taylor expansion of +nan.0 in n 151.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.877 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 151.877 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 151.877 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.877 * [taylor]: Taking taylor expansion of 2 in n 151.877 * [backup-simplify]: Simplify 2 into 2 151.878 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.878 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 151.878 * [taylor]: Taking taylor expansion of (* 2 PI) in n 151.878 * [taylor]: Taking taylor expansion of 2 in n 151.878 * [backup-simplify]: Simplify 2 into 2 151.878 * [taylor]: Taking taylor expansion of PI in n 151.878 * [backup-simplify]: Simplify PI into PI 151.878 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.879 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.879 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.879 * [taylor]: Taking taylor expansion of (* n PI) in n 151.879 * [taylor]: Taking taylor expansion of n in n 151.879 * [backup-simplify]: Simplify 0 into 0 151.879 * [backup-simplify]: Simplify 1 into 1 151.879 * [taylor]: Taking taylor expansion of PI in n 151.879 * [backup-simplify]: Simplify PI into PI 151.879 * [backup-simplify]: Simplify (* 0 PI) into 0 151.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.880 * [backup-simplify]: Simplify (sqrt 0) into 0 151.881 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.881 * [taylor]: Taking taylor expansion of (- (+ (* +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))))))))) in n 151.881 * [taylor]: Taking taylor expansion of (+ (* +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)))))))) in n 151.881 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 151.881 * [taylor]: Taking taylor expansion of +nan.0 in n 151.881 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.881 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 151.881 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 151.881 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.881 * [taylor]: Taking taylor expansion of 2 in n 151.881 * [backup-simplify]: Simplify 2 into 2 151.882 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.882 * [taylor]: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 151.882 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 151.882 * [taylor]: Taking taylor expansion of (* 2 PI) in n 151.882 * [taylor]: Taking taylor expansion of 2 in n 151.882 * [backup-simplify]: Simplify 2 into 2 151.882 * [taylor]: Taking taylor expansion of PI in n 151.882 * [backup-simplify]: Simplify PI into PI 151.882 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.883 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.883 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.883 * [taylor]: Taking taylor expansion of (* n PI) in n 151.883 * [taylor]: Taking taylor expansion of n in n 151.883 * [backup-simplify]: Simplify 0 into 0 151.883 * [backup-simplify]: Simplify 1 into 1 151.883 * [taylor]: Taking taylor expansion of PI in n 151.883 * [backup-simplify]: Simplify PI into PI 151.883 * [backup-simplify]: Simplify (* 0 PI) into 0 151.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.884 * [backup-simplify]: Simplify (sqrt 0) into 0 151.885 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.885 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) in n 151.885 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 151.885 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 151.885 * [taylor]: Taking taylor expansion of +nan.0 in n 151.885 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.885 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 151.885 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.885 * [taylor]: Taking taylor expansion of 2 in n 151.885 * [backup-simplify]: Simplify 2 into 2 151.886 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.886 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.886 * [taylor]: Taking taylor expansion of (* n PI) in n 151.886 * [taylor]: Taking taylor expansion of n in n 151.886 * [backup-simplify]: Simplify 0 into 0 151.886 * [backup-simplify]: Simplify 1 into 1 151.886 * [taylor]: Taking taylor expansion of PI in n 151.886 * [backup-simplify]: Simplify PI into PI 151.886 * [backup-simplify]: Simplify (* 0 PI) into 0 151.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.888 * [backup-simplify]: Simplify (sqrt 0) into 0 151.889 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.889 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 151.889 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 151.889 * [taylor]: Taking taylor expansion of +nan.0 in n 151.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 151.889 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 151.889 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 151.889 * [taylor]: Taking taylor expansion of (sqrt 2) in n 151.889 * [taylor]: Taking taylor expansion of 2 in n 151.889 * [backup-simplify]: Simplify 2 into 2 151.890 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 151.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 151.890 * [taylor]: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 151.890 * [taylor]: Taking taylor expansion of (log n) in n 151.890 * [taylor]: Taking taylor expansion of n in n 151.890 * [backup-simplify]: Simplify 0 into 0 151.890 * [backup-simplify]: Simplify 1 into 1 151.891 * [backup-simplify]: Simplify (log 1) into 0 151.891 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 151.891 * [taylor]: Taking taylor expansion of (* 2 PI) in n 151.891 * [taylor]: Taking taylor expansion of 2 in n 151.891 * [backup-simplify]: Simplify 2 into 2 151.891 * [taylor]: Taking taylor expansion of PI in n 151.891 * [backup-simplify]: Simplify PI into PI 151.891 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 151.892 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 151.892 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 151.892 * [taylor]: Taking taylor expansion of (* n PI) in n 151.892 * [taylor]: Taking taylor expansion of n in n 151.892 * [backup-simplify]: Simplify 0 into 0 151.892 * [backup-simplify]: Simplify 1 into 1 151.893 * [taylor]: Taking taylor expansion of PI in n 151.893 * [backup-simplify]: Simplify PI into PI 151.893 * [backup-simplify]: Simplify (* 0 PI) into 0 151.894 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 151.895 * [backup-simplify]: Simplify (sqrt 0) into 0 151.896 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 151.897 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.897 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.897 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 151.898 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 151.898 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 151.899 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.900 * [backup-simplify]: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 151.900 * [backup-simplify]: Simplify (* (* (sqrt 2) (log n)) 0) into 0 151.901 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.903 * [backup-simplify]: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 151.904 * [backup-simplify]: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 151.904 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.907 * [backup-simplify]: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 151.910 * [backup-simplify]: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 151.911 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 151.914 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.915 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 151.915 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.917 * [backup-simplify]: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 151.918 * [backup-simplify]: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 151.920 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 151.920 * [backup-simplify]: Simplify (* +nan.0 0) into 0 151.920 * [backup-simplify]: Simplify (- 0) into 0 151.921 * [backup-simplify]: Simplify (+ 0 0) into 0 151.921 * [backup-simplify]: Simplify (- 0) into 0 151.922 * [backup-simplify]: Simplify (+ 0 0) into 0 151.922 * [backup-simplify]: Simplify (- 0) into 0 151.923 * [backup-simplify]: Simplify (+ 0 0) into 0 151.923 * [backup-simplify]: Simplify (- 0) into 0 151.924 * [backup-simplify]: Simplify (+ 0 0) into 0 151.924 * [backup-simplify]: Simplify (- 0) into 0 151.925 * [backup-simplify]: Simplify (+ 0 0) into 0 151.925 * [backup-simplify]: Simplify (- 0) into 0 151.925 * [backup-simplify]: Simplify 0 into 0 151.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 151.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 151.929 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 151.934 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 151.942 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 151.944 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 151.947 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 151.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 151.948 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 151.948 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 151.949 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 151.950 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 151.950 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 151.952 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 151.954 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 151.958 * [backup-simplify]: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 151.965 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 151.972 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 151.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 151.977 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 151.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 151.983 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 151.990 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 151.992 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 151.994 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 152.002 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 152.003 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2)) (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) 152.003 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in (k n) around 0 152.003 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in n 152.003 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in n 152.003 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 152.003 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 152.003 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 152.003 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 152.003 * [taylor]: Taking taylor expansion of 1/2 in n 152.003 * [backup-simplify]: Simplify 1/2 into 1/2 152.003 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.003 * [taylor]: Taking taylor expansion of 1 in n 152.003 * [backup-simplify]: Simplify 1 into 1 152.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.003 * [taylor]: Taking taylor expansion of k in n 152.003 * [backup-simplify]: Simplify k into k 152.003 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.003 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 152.004 * [taylor]: Taking taylor expansion of (/ 1 n) in n 152.004 * [taylor]: Taking taylor expansion of n in n 152.004 * [backup-simplify]: Simplify 0 into 0 152.004 * [backup-simplify]: Simplify 1 into 1 152.004 * [backup-simplify]: Simplify (/ 1 1) into 1 152.004 * [backup-simplify]: Simplify (log 1) into 0 152.004 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.004 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.004 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 152.005 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 152.005 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 152.005 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 152.005 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in n 152.005 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in n 152.005 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 152.005 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in n 152.005 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n 152.005 * [taylor]: Taking taylor expansion of 1/4 in n 152.005 * [backup-simplify]: Simplify 1/4 into 1/4 152.005 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.005 * [taylor]: Taking taylor expansion of 1 in n 152.005 * [backup-simplify]: Simplify 1 into 1 152.005 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.005 * [taylor]: Taking taylor expansion of k in n 152.005 * [backup-simplify]: Simplify k into k 152.005 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.005 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.005 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.005 * [taylor]: Taking taylor expansion of 2 in n 152.005 * [backup-simplify]: Simplify 2 into 2 152.005 * [taylor]: Taking taylor expansion of PI in n 152.005 * [backup-simplify]: Simplify PI into PI 152.005 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.006 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.006 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.006 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k))) 152.007 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 152.007 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.007 * [taylor]: Taking taylor expansion of (sqrt k) in n 152.007 * [taylor]: Taking taylor expansion of k in n 152.007 * [backup-simplify]: Simplify k into k 152.007 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 152.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 152.008 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 152.008 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 152.008 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 152.008 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 152.008 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 152.008 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 152.008 * [taylor]: Taking taylor expansion of 1/2 in k 152.008 * [backup-simplify]: Simplify 1/2 into 1/2 152.008 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.008 * [taylor]: Taking taylor expansion of 1 in k 152.008 * [backup-simplify]: Simplify 1 into 1 152.008 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.008 * [taylor]: Taking taylor expansion of k in k 152.008 * [backup-simplify]: Simplify 0 into 0 152.008 * [backup-simplify]: Simplify 1 into 1 152.008 * [backup-simplify]: Simplify (/ 1 1) into 1 152.008 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 152.008 * [taylor]: Taking taylor expansion of (/ 1 n) in k 152.008 * [taylor]: Taking taylor expansion of n in k 152.008 * [backup-simplify]: Simplify n into n 152.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 152.008 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 152.008 * [backup-simplify]: Simplify (- 1) into -1 152.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.009 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 152.009 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 152.009 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 152.009 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 152.009 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 152.009 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 152.009 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 152.009 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 152.009 * [taylor]: Taking taylor expansion of 1/4 in k 152.009 * [backup-simplify]: Simplify 1/4 into 1/4 152.009 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.009 * [taylor]: Taking taylor expansion of 1 in k 152.009 * [backup-simplify]: Simplify 1 into 1 152.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.009 * [taylor]: Taking taylor expansion of k in k 152.009 * [backup-simplify]: Simplify 0 into 0 152.009 * [backup-simplify]: Simplify 1 into 1 152.010 * [backup-simplify]: Simplify (/ 1 1) into 1 152.010 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.010 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.010 * [taylor]: Taking taylor expansion of 2 in k 152.010 * [backup-simplify]: Simplify 2 into 2 152.010 * [taylor]: Taking taylor expansion of PI in k 152.010 * [backup-simplify]: Simplify PI into PI 152.010 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.011 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.011 * [backup-simplify]: Simplify (- 1) into -1 152.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.011 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 152.012 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 152.013 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.013 * [taylor]: Taking taylor expansion of (sqrt k) in k 152.013 * [taylor]: Taking taylor expansion of k in k 152.013 * [backup-simplify]: Simplify 0 into 0 152.013 * [backup-simplify]: Simplify 1 into 1 152.013 * [backup-simplify]: Simplify (sqrt 0) into 0 152.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.015 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) (sqrt k)) in k 152.015 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2)) in k 152.015 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 152.015 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 152.015 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 152.015 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 152.015 * [taylor]: Taking taylor expansion of 1/2 in k 152.015 * [backup-simplify]: Simplify 1/2 into 1/2 152.015 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.015 * [taylor]: Taking taylor expansion of 1 in k 152.015 * [backup-simplify]: Simplify 1 into 1 152.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.015 * [taylor]: Taking taylor expansion of k in k 152.015 * [backup-simplify]: Simplify 0 into 0 152.015 * [backup-simplify]: Simplify 1 into 1 152.015 * [backup-simplify]: Simplify (/ 1 1) into 1 152.015 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 152.015 * [taylor]: Taking taylor expansion of (/ 1 n) in k 152.015 * [taylor]: Taking taylor expansion of n in k 152.015 * [backup-simplify]: Simplify n into n 152.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 152.015 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 152.015 * [backup-simplify]: Simplify (- 1) into -1 152.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.018 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 152.018 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 152.018 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 152.018 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) 2) in k 152.018 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 152.018 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 152.018 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 152.018 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 152.018 * [taylor]: Taking taylor expansion of 1/4 in k 152.018 * [backup-simplify]: Simplify 1/4 into 1/4 152.018 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.018 * [taylor]: Taking taylor expansion of 1 in k 152.018 * [backup-simplify]: Simplify 1 into 1 152.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.018 * [taylor]: Taking taylor expansion of k in k 152.018 * [backup-simplify]: Simplify 0 into 0 152.018 * [backup-simplify]: Simplify 1 into 1 152.018 * [backup-simplify]: Simplify (/ 1 1) into 1 152.018 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.019 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.019 * [taylor]: Taking taylor expansion of 2 in k 152.019 * [backup-simplify]: Simplify 2 into 2 152.019 * [taylor]: Taking taylor expansion of PI in k 152.019 * [backup-simplify]: Simplify PI into PI 152.019 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.019 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.020 * [backup-simplify]: Simplify (- 1) into -1 152.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.020 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 152.021 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 152.022 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.022 * [taylor]: Taking taylor expansion of (sqrt k) in k 152.022 * [taylor]: Taking taylor expansion of k in k 152.022 * [backup-simplify]: Simplify 0 into 0 152.022 * [backup-simplify]: Simplify 1 into 1 152.022 * [backup-simplify]: Simplify (sqrt 0) into 0 152.023 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.024 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 152.025 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 152.026 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) 0) into 0 152.026 * [taylor]: Taking taylor expansion of 0 in n 152.026 * [backup-simplify]: Simplify 0 into 0 152.026 * [backup-simplify]: Simplify 0 into 0 152.027 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 152.028 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 152.029 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 152.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 152.029 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 152.029 * [taylor]: Taking taylor expansion of +nan.0 in n 152.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.029 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 152.029 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 152.029 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 152.029 * [taylor]: Taking taylor expansion of 1/2 in n 152.029 * [backup-simplify]: Simplify 1/2 into 1/2 152.029 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 152.029 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.029 * [taylor]: Taking taylor expansion of 1 in n 152.029 * [backup-simplify]: Simplify 1 into 1 152.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.029 * [taylor]: Taking taylor expansion of k in n 152.029 * [backup-simplify]: Simplify k into k 152.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.029 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 152.029 * [taylor]: Taking taylor expansion of (/ 1 n) in n 152.029 * [taylor]: Taking taylor expansion of n in n 152.030 * [backup-simplify]: Simplify 0 into 0 152.030 * [backup-simplify]: Simplify 1 into 1 152.030 * [backup-simplify]: Simplify (/ 1 1) into 1 152.030 * [backup-simplify]: Simplify (log 1) into 0 152.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 152.030 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 152.031 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 152.031 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 152.031 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 152.031 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 152.031 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 152.031 * [taylor]: Taking taylor expansion of 1/4 in n 152.031 * [backup-simplify]: Simplify 1/4 into 1/4 152.031 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 152.031 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.031 * [taylor]: Taking taylor expansion of 1 in n 152.031 * [backup-simplify]: Simplify 1 into 1 152.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.031 * [taylor]: Taking taylor expansion of k in n 152.031 * [backup-simplify]: Simplify k into k 152.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.031 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.031 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.031 * [taylor]: Taking taylor expansion of 2 in n 152.031 * [backup-simplify]: Simplify 2 into 2 152.031 * [taylor]: Taking taylor expansion of PI in n 152.031 * [backup-simplify]: Simplify PI into PI 152.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.032 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.032 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.032 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.033 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 152.033 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 152.034 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.035 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 152.036 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 152.037 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 152.038 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.039 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.039 * [backup-simplify]: Simplify 0 into 0 152.041 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 152.043 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 152.044 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) into 0 152.045 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 152.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 152.045 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 152.045 * [taylor]: Taking taylor expansion of +nan.0 in n 152.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.045 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 152.045 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 152.045 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 152.045 * [taylor]: Taking taylor expansion of 1/2 in n 152.045 * [backup-simplify]: Simplify 1/2 into 1/2 152.045 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 152.045 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.045 * [taylor]: Taking taylor expansion of 1 in n 152.045 * [backup-simplify]: Simplify 1 into 1 152.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.045 * [taylor]: Taking taylor expansion of k in n 152.045 * [backup-simplify]: Simplify k into k 152.045 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.045 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 152.045 * [taylor]: Taking taylor expansion of (/ 1 n) in n 152.045 * [taylor]: Taking taylor expansion of n in n 152.045 * [backup-simplify]: Simplify 0 into 0 152.045 * [backup-simplify]: Simplify 1 into 1 152.045 * [backup-simplify]: Simplify (/ 1 1) into 1 152.046 * [backup-simplify]: Simplify (log 1) into 0 152.046 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.046 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 152.046 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 152.046 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 152.046 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 152.046 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 152.046 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 152.046 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 152.046 * [taylor]: Taking taylor expansion of 1/4 in n 152.046 * [backup-simplify]: Simplify 1/4 into 1/4 152.046 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 152.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.046 * [taylor]: Taking taylor expansion of 1 in n 152.046 * [backup-simplify]: Simplify 1 into 1 152.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.047 * [taylor]: Taking taylor expansion of k in n 152.047 * [backup-simplify]: Simplify k into k 152.047 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.047 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.047 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.047 * [taylor]: Taking taylor expansion of 2 in n 152.047 * [backup-simplify]: Simplify 2 into 2 152.047 * [taylor]: Taking taylor expansion of PI in n 152.047 * [backup-simplify]: Simplify PI into PI 152.047 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.048 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.048 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.048 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.048 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 152.049 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 152.050 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.051 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 152.052 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 152.053 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 152.053 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.054 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.055 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 152.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 152.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 152.056 * [backup-simplify]: Simplify (- 0) into 0 152.056 * [backup-simplify]: Simplify (+ 0 0) into 0 152.057 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 152.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into 0 152.059 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 152.060 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 152.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 152.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 152.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 152.062 * [backup-simplify]: Simplify (- 0) into 0 152.063 * [backup-simplify]: Simplify (+ 0 0) into 0 152.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 152.063 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log n)))) into 0 152.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* (- 1 (/ 1 k)) (log n))))) into 0 152.065 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 152.066 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) into 0 152.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 152.068 * [backup-simplify]: Simplify (- 0) into 0 152.068 * [backup-simplify]: Simplify 0 into 0 152.068 * [backup-simplify]: Simplify 0 into 0 152.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 152.074 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 152.075 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))))) into 0 152.076 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) 152.077 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)))) in n 152.077 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2))) in n 152.077 * [taylor]: Taking taylor expansion of +nan.0 in n 152.077 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.077 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) in n 152.077 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) in n 152.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))) in n 152.077 * [taylor]: Taking taylor expansion of 1/2 in n 152.077 * [backup-simplify]: Simplify 1/2 into 1/2 152.077 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (/ 1 n))) in n 152.077 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.077 * [taylor]: Taking taylor expansion of 1 in n 152.077 * [backup-simplify]: Simplify 1 into 1 152.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.077 * [taylor]: Taking taylor expansion of k in n 152.077 * [backup-simplify]: Simplify k into k 152.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.077 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 152.077 * [taylor]: Taking taylor expansion of (/ 1 n) in n 152.077 * [taylor]: Taking taylor expansion of n in n 152.077 * [backup-simplify]: Simplify 0 into 0 152.077 * [backup-simplify]: Simplify 1 into 1 152.077 * [backup-simplify]: Simplify (/ 1 1) into 1 152.077 * [backup-simplify]: Simplify (log 1) into 0 152.077 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.077 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 152.078 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log n))) into (* -1 (* (- 1 (/ 1 k)) (log n))) 152.078 * [backup-simplify]: Simplify (* 1/2 (* -1 (* (- 1 (/ 1 k)) (log n)))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 152.078 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 152.078 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) in n 152.078 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in n 152.078 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in n 152.078 * [taylor]: Taking taylor expansion of 1/4 in n 152.078 * [backup-simplify]: Simplify 1/4 into 1/4 152.078 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in n 152.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 152.078 * [taylor]: Taking taylor expansion of 1 in n 152.078 * [backup-simplify]: Simplify 1 into 1 152.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.078 * [taylor]: Taking taylor expansion of k in n 152.078 * [backup-simplify]: Simplify k into k 152.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.078 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.078 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.078 * [taylor]: Taking taylor expansion of 2 in n 152.078 * [backup-simplify]: Simplify 2 into 2 152.078 * [taylor]: Taking taylor expansion of PI in n 152.078 * [backup-simplify]: Simplify PI into PI 152.079 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.079 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.079 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 152.079 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 152.080 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (log (* 2 PI))) into (* (- 1 (/ 1 k)) (log (* 2 PI))) 152.081 * [backup-simplify]: Simplify (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) into (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 152.081 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.083 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) 152.083 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 152.084 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) 152.085 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.086 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) 152.089 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) 2) (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 152.090 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) 152.090 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in (k n) around 0 152.090 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in n 152.090 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in n 152.090 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 152.090 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 152.090 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 152.090 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 152.090 * [taylor]: Taking taylor expansion of 1/2 in n 152.090 * [backup-simplify]: Simplify 1/2 into 1/2 152.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.090 * [taylor]: Taking taylor expansion of k in n 152.090 * [backup-simplify]: Simplify k into k 152.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.090 * [taylor]: Taking taylor expansion of 1 in n 152.090 * [backup-simplify]: Simplify 1 into 1 152.090 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 152.090 * [taylor]: Taking taylor expansion of (/ -1 n) in n 152.090 * [taylor]: Taking taylor expansion of -1 in n 152.090 * [backup-simplify]: Simplify -1 into -1 152.090 * [taylor]: Taking taylor expansion of n in n 152.090 * [backup-simplify]: Simplify 0 into 0 152.090 * [backup-simplify]: Simplify 1 into 1 152.091 * [backup-simplify]: Simplify (/ -1 1) into -1 152.091 * [backup-simplify]: Simplify (log -1) into (log -1) 152.091 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.091 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 152.091 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 152.092 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 152.092 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 152.092 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in n 152.092 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in n 152.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 152.092 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 152.092 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n 152.092 * [taylor]: Taking taylor expansion of 1/4 in n 152.092 * [backup-simplify]: Simplify 1/4 into 1/4 152.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.092 * [taylor]: Taking taylor expansion of k in n 152.092 * [backup-simplify]: Simplify k into k 152.092 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.092 * [taylor]: Taking taylor expansion of 1 in n 152.092 * [backup-simplify]: Simplify 1 into 1 152.092 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.092 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.092 * [taylor]: Taking taylor expansion of 2 in n 152.092 * [backup-simplify]: Simplify 2 into 2 152.092 * [taylor]: Taking taylor expansion of PI in n 152.092 * [backup-simplify]: Simplify PI into PI 152.093 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.093 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.093 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.093 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1)) 152.094 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 152.095 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 152.095 * [taylor]: Taking taylor expansion of (/ -1 k) in n 152.095 * [taylor]: Taking taylor expansion of -1 in n 152.095 * [backup-simplify]: Simplify -1 into -1 152.095 * [taylor]: Taking taylor expansion of k in n 152.095 * [backup-simplify]: Simplify k into k 152.095 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 152.095 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 152.095 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 152.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 152.096 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 152.098 * [backup-simplify]: Simplify (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 152.098 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 152.099 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 152.099 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 152.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 152.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 152.099 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 152.099 * [taylor]: Taking taylor expansion of 1/2 in k 152.099 * [backup-simplify]: Simplify 1/2 into 1/2 152.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.099 * [taylor]: Taking taylor expansion of k in k 152.099 * [backup-simplify]: Simplify 0 into 0 152.099 * [backup-simplify]: Simplify 1 into 1 152.099 * [backup-simplify]: Simplify (/ 1 1) into 1 152.099 * [taylor]: Taking taylor expansion of 1 in k 152.099 * [backup-simplify]: Simplify 1 into 1 152.099 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 152.099 * [taylor]: Taking taylor expansion of (/ -1 n) in k 152.099 * [taylor]: Taking taylor expansion of -1 in k 152.099 * [backup-simplify]: Simplify -1 into -1 152.099 * [taylor]: Taking taylor expansion of n in k 152.099 * [backup-simplify]: Simplify n into n 152.099 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 152.099 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 152.099 * [backup-simplify]: Simplify (+ 1 0) into 1 152.100 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 152.100 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 152.100 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 152.100 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 152.100 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 152.100 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 152.100 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 152.100 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 152.100 * [taylor]: Taking taylor expansion of 1/4 in k 152.100 * [backup-simplify]: Simplify 1/4 into 1/4 152.100 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.100 * [taylor]: Taking taylor expansion of k in k 152.100 * [backup-simplify]: Simplify 0 into 0 152.100 * [backup-simplify]: Simplify 1 into 1 152.100 * [backup-simplify]: Simplify (/ 1 1) into 1 152.100 * [taylor]: Taking taylor expansion of 1 in k 152.100 * [backup-simplify]: Simplify 1 into 1 152.100 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.100 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.100 * [taylor]: Taking taylor expansion of 2 in k 152.100 * [backup-simplify]: Simplify 2 into 2 152.100 * [taylor]: Taking taylor expansion of PI in k 152.100 * [backup-simplify]: Simplify PI into PI 152.101 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.101 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.102 * [backup-simplify]: Simplify (+ 1 0) into 1 152.102 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.103 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.104 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 152.104 * [taylor]: Taking taylor expansion of (/ -1 k) in k 152.104 * [taylor]: Taking taylor expansion of -1 in k 152.104 * [backup-simplify]: Simplify -1 into -1 152.104 * [taylor]: Taking taylor expansion of k in k 152.104 * [backup-simplify]: Simplify 0 into 0 152.104 * [backup-simplify]: Simplify 1 into 1 152.104 * [backup-simplify]: Simplify (/ -1 1) into -1 152.104 * [backup-simplify]: Simplify (sqrt 0) into 0 152.105 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 152.108 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.109 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 152.110 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 152.110 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) (sqrt (/ -1 k))) in k 152.110 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2)) in k 152.110 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 152.110 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 152.110 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 152.110 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 152.110 * [taylor]: Taking taylor expansion of 1/2 in k 152.110 * [backup-simplify]: Simplify 1/2 into 1/2 152.110 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.110 * [taylor]: Taking taylor expansion of k in k 152.110 * [backup-simplify]: Simplify 0 into 0 152.110 * [backup-simplify]: Simplify 1 into 1 152.111 * [backup-simplify]: Simplify (/ 1 1) into 1 152.111 * [taylor]: Taking taylor expansion of 1 in k 152.111 * [backup-simplify]: Simplify 1 into 1 152.111 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 152.111 * [taylor]: Taking taylor expansion of (/ -1 n) in k 152.111 * [taylor]: Taking taylor expansion of -1 in k 152.111 * [backup-simplify]: Simplify -1 into -1 152.111 * [taylor]: Taking taylor expansion of n in k 152.111 * [backup-simplify]: Simplify n into n 152.111 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 152.111 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 152.111 * [backup-simplify]: Simplify (+ 1 0) into 1 152.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 152.111 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 152.111 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 152.111 * [taylor]: Taking taylor expansion of (pow (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) 2) in k 152.111 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 152.112 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 152.112 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 152.112 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 152.112 * [taylor]: Taking taylor expansion of 1/4 in k 152.112 * [backup-simplify]: Simplify 1/4 into 1/4 152.112 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.112 * [taylor]: Taking taylor expansion of k in k 152.112 * [backup-simplify]: Simplify 0 into 0 152.112 * [backup-simplify]: Simplify 1 into 1 152.112 * [backup-simplify]: Simplify (/ 1 1) into 1 152.112 * [taylor]: Taking taylor expansion of 1 in k 152.112 * [backup-simplify]: Simplify 1 into 1 152.112 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.112 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.112 * [taylor]: Taking taylor expansion of 2 in k 152.112 * [backup-simplify]: Simplify 2 into 2 152.112 * [taylor]: Taking taylor expansion of PI in k 152.112 * [backup-simplify]: Simplify PI into PI 152.112 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.113 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.113 * [backup-simplify]: Simplify (+ 1 0) into 1 152.113 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.114 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.115 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.115 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 152.115 * [taylor]: Taking taylor expansion of (/ -1 k) in k 152.115 * [taylor]: Taking taylor expansion of -1 in k 152.115 * [backup-simplify]: Simplify -1 into -1 152.115 * [taylor]: Taking taylor expansion of k in k 152.115 * [backup-simplify]: Simplify 0 into 0 152.115 * [backup-simplify]: Simplify 1 into 1 152.116 * [backup-simplify]: Simplify (/ -1 1) into -1 152.116 * [backup-simplify]: Simplify (sqrt 0) into 0 152.117 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 152.118 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.119 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) 152.120 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) 152.120 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 152.120 * [taylor]: Taking taylor expansion of +nan.0 in n 152.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.120 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 152.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 152.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 152.120 * [taylor]: Taking taylor expansion of 1/2 in n 152.120 * [backup-simplify]: Simplify 1/2 into 1/2 152.120 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 152.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.120 * [taylor]: Taking taylor expansion of k in n 152.120 * [backup-simplify]: Simplify k into k 152.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.120 * [taylor]: Taking taylor expansion of 1 in n 152.120 * [backup-simplify]: Simplify 1 into 1 152.120 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 152.120 * [taylor]: Taking taylor expansion of (/ -1 n) in n 152.120 * [taylor]: Taking taylor expansion of -1 in n 152.120 * [backup-simplify]: Simplify -1 into -1 152.120 * [taylor]: Taking taylor expansion of n in n 152.120 * [backup-simplify]: Simplify 0 into 0 152.120 * [backup-simplify]: Simplify 1 into 1 152.120 * [backup-simplify]: Simplify (/ -1 1) into -1 152.121 * [backup-simplify]: Simplify (log -1) into (log -1) 152.121 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 152.122 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 152.122 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 152.122 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 152.122 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 152.122 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 152.122 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 152.122 * [taylor]: Taking taylor expansion of 1/4 in n 152.122 * [backup-simplify]: Simplify 1/4 into 1/4 152.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 152.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.122 * [taylor]: Taking taylor expansion of k in n 152.122 * [backup-simplify]: Simplify k into k 152.122 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.122 * [taylor]: Taking taylor expansion of 1 in n 152.122 * [backup-simplify]: Simplify 1 into 1 152.122 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.123 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.123 * [taylor]: Taking taylor expansion of 2 in n 152.123 * [backup-simplify]: Simplify 2 into 2 152.123 * [taylor]: Taking taylor expansion of PI in n 152.123 * [backup-simplify]: Simplify PI into PI 152.123 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.123 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.123 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.124 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 152.125 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 152.125 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.127 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.128 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 152.129 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 152.130 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 152.131 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 152.132 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 152.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 152.134 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 152.136 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 152.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 152.136 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 152.136 * [taylor]: Taking taylor expansion of +nan.0 in n 152.136 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.136 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 152.136 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 152.136 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 152.136 * [taylor]: Taking taylor expansion of 1/2 in n 152.136 * [backup-simplify]: Simplify 1/2 into 1/2 152.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 152.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.136 * [taylor]: Taking taylor expansion of k in n 152.136 * [backup-simplify]: Simplify k into k 152.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.136 * [taylor]: Taking taylor expansion of 1 in n 152.136 * [backup-simplify]: Simplify 1 into 1 152.136 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 152.136 * [taylor]: Taking taylor expansion of (/ -1 n) in n 152.136 * [taylor]: Taking taylor expansion of -1 in n 152.136 * [backup-simplify]: Simplify -1 into -1 152.136 * [taylor]: Taking taylor expansion of n in n 152.136 * [backup-simplify]: Simplify 0 into 0 152.136 * [backup-simplify]: Simplify 1 into 1 152.137 * [backup-simplify]: Simplify (/ -1 1) into -1 152.137 * [backup-simplify]: Simplify (log -1) into (log -1) 152.137 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 152.138 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 152.138 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 152.139 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 152.139 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 152.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 152.139 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 152.139 * [taylor]: Taking taylor expansion of 1/4 in n 152.139 * [backup-simplify]: Simplify 1/4 into 1/4 152.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 152.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.139 * [taylor]: Taking taylor expansion of k in n 152.139 * [backup-simplify]: Simplify k into k 152.139 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.139 * [taylor]: Taking taylor expansion of 1 in n 152.139 * [backup-simplify]: Simplify 1 into 1 152.139 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.139 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.139 * [taylor]: Taking taylor expansion of 2 in n 152.139 * [backup-simplify]: Simplify 2 into 2 152.139 * [taylor]: Taking taylor expansion of PI in n 152.139 * [backup-simplify]: Simplify PI into PI 152.139 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.140 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.140 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.140 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 152.141 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 152.142 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.143 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.144 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 152.146 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 152.147 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 152.149 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 152.151 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 152.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 152.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 152.153 * [backup-simplify]: Simplify (+ 0 0) into 0 152.154 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (log (* 2 PI)))) into 0 152.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into 0 152.157 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 152.159 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 152.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 152.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 152.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 152.162 * [backup-simplify]: Simplify (+ 0 0) into 0 152.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 152.163 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1) 0) (* 0 (- (log -1) (log n)))) into 0 152.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into 0 152.165 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 152.167 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) into 0 152.169 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 152.169 * [backup-simplify]: Simplify 0 into 0 152.171 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 152.173 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) into 0 152.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 152.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 152.182 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) 152.183 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)))) in n 152.183 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2))) in n 152.183 * [taylor]: Taking taylor expansion of +nan.0 in n 152.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 152.183 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) in n 152.183 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) in n 152.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))) in n 152.183 * [taylor]: Taking taylor expansion of 1/2 in n 152.183 * [backup-simplify]: Simplify 1/2 into 1/2 152.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (/ -1 n))) in n 152.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.183 * [taylor]: Taking taylor expansion of k in n 152.183 * [backup-simplify]: Simplify k into k 152.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.183 * [taylor]: Taking taylor expansion of 1 in n 152.183 * [backup-simplify]: Simplify 1 into 1 152.183 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 152.183 * [taylor]: Taking taylor expansion of (/ -1 n) in n 152.183 * [taylor]: Taking taylor expansion of -1 in n 152.183 * [backup-simplify]: Simplify -1 into -1 152.183 * [taylor]: Taking taylor expansion of n in n 152.183 * [backup-simplify]: Simplify 0 into 0 152.184 * [backup-simplify]: Simplify 1 into 1 152.184 * [backup-simplify]: Simplify (/ -1 1) into -1 152.184 * [backup-simplify]: Simplify (log -1) into (log -1) 152.184 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.185 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 152.186 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (- (log -1) (log n))) into (* (+ (/ 1 k) 1) (- (log -1) (log n))) 152.186 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 152.187 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 152.187 * [taylor]: Taking taylor expansion of (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) in n 152.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in n 152.187 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in n 152.187 * [taylor]: Taking taylor expansion of 1/4 in n 152.187 * [backup-simplify]: Simplify 1/4 into 1/4 152.187 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in n 152.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 152.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 152.187 * [taylor]: Taking taylor expansion of k in n 152.187 * [backup-simplify]: Simplify k into k 152.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 152.187 * [taylor]: Taking taylor expansion of 1 in n 152.187 * [backup-simplify]: Simplify 1 into 1 152.187 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 152.187 * [taylor]: Taking taylor expansion of (* 2 PI) in n 152.187 * [taylor]: Taking taylor expansion of 2 in n 152.187 * [backup-simplify]: Simplify 2 into 2 152.187 * [taylor]: Taking taylor expansion of PI in n 152.187 * [backup-simplify]: Simplify PI into PI 152.188 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.189 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 152.190 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1) (log (* 2 PI))) into (* (+ (/ 1 k) 1) (log (* 2 PI))) 152.191 * [backup-simplify]: Simplify (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) into (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 152.192 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.194 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) 152.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2)) into (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 152.197 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 152.199 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 152.201 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 152.207 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) 2) (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)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 152.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 152.208 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) 152.208 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0 152.208 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 152.208 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 152.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 152.208 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 152.208 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 152.208 * [taylor]: Taking taylor expansion of 1/4 in k 152.208 * [backup-simplify]: Simplify 1/4 into 1/4 152.208 * [taylor]: Taking taylor expansion of (- 1 k) in k 152.208 * [taylor]: Taking taylor expansion of 1 in k 152.208 * [backup-simplify]: Simplify 1 into 1 152.208 * [taylor]: Taking taylor expansion of k in k 152.208 * [backup-simplify]: Simplify 0 into 0 152.208 * [backup-simplify]: Simplify 1 into 1 152.208 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.208 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.208 * [taylor]: Taking taylor expansion of 2 in k 152.208 * [backup-simplify]: Simplify 2 into 2 152.208 * [taylor]: Taking taylor expansion of PI in k 152.208 * [backup-simplify]: Simplify PI into PI 152.209 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.210 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.210 * [backup-simplify]: Simplify (- 0) into 0 152.211 * [backup-simplify]: Simplify (+ 1 0) into 1 152.211 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.213 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.215 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 152.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 152.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.215 * [taylor]: Taking taylor expansion of k in k 152.215 * [backup-simplify]: Simplify 0 into 0 152.215 * [backup-simplify]: Simplify 1 into 1 152.216 * [backup-simplify]: Simplify (/ 1 1) into 1 152.216 * [backup-simplify]: Simplify (sqrt 0) into 0 152.218 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.218 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 k))) (sqrt (/ 1 k))) in k 152.218 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 k))) in k 152.218 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 PI)))) in k 152.218 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 PI))) in k 152.218 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k 152.218 * [taylor]: Taking taylor expansion of 1/4 in k 152.218 * [backup-simplify]: Simplify 1/4 into 1/4 152.218 * [taylor]: Taking taylor expansion of (- 1 k) in k 152.218 * [taylor]: Taking taylor expansion of 1 in k 152.218 * [backup-simplify]: Simplify 1 into 1 152.218 * [taylor]: Taking taylor expansion of k in k 152.218 * [backup-simplify]: Simplify 0 into 0 152.218 * [backup-simplify]: Simplify 1 into 1 152.218 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.218 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.218 * [taylor]: Taking taylor expansion of 2 in k 152.218 * [backup-simplify]: Simplify 2 into 2 152.218 * [taylor]: Taking taylor expansion of PI in k 152.218 * [backup-simplify]: Simplify PI into PI 152.219 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.219 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.220 * [backup-simplify]: Simplify (- 0) into 0 152.220 * [backup-simplify]: Simplify (+ 1 0) into 1 152.221 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.222 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.228 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 PI)))) into (pow (* 2 PI) 1/4) 152.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 152.228 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.228 * [taylor]: Taking taylor expansion of k in k 152.228 * [backup-simplify]: Simplify 0 into 0 152.228 * [backup-simplify]: Simplify 1 into 1 152.228 * [backup-simplify]: Simplify (/ 1 1) into 1 152.229 * [backup-simplify]: Simplify (sqrt 0) into 0 152.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.231 * [backup-simplify]: Simplify (* (pow (* 2 PI) 1/4) 0) into 0 152.231 * [backup-simplify]: Simplify 0 into 0 152.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 152.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 152.234 * [backup-simplify]: Simplify (- 1) into -1 152.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.235 * [backup-simplify]: Simplify (+ (* 1/4 -1) (* 0 1)) into -1/4 152.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* -1/4 (log (* 2 PI)))) into (- (* 1/4 (log (* 2 PI)))) 152.251 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1)))) into (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 152.256 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) 0)) into (- (* +nan.0 (pow (* PI 2) 1/4))) 152.259 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* PI 2) 1/4))) into (- (* +nan.0 (pow (* PI 2) 1/4))) 152.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 152.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 152.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 152.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 152.267 * [backup-simplify]: Simplify (- 0) into 0 152.268 * [backup-simplify]: Simplify (+ 0 0) into 0 152.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -1) (* 0 1))) into 0 152.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (* 0 (log (* 2 PI))))) into 0 152.284 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 152.300 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 152.306 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) 152.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 152.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 152.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 152.313 * [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 0 152.313 * [backup-simplify]: Simplify (- 0) into 0 152.313 * [backup-simplify]: Simplify (+ 0 0) into 0 152.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 152.315 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* -1/4 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 152.325 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/4 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 152.343 * [backup-simplify]: Simplify (+ (* (pow (* 2 PI) 1/4) +nan.0) (+ (* (* -1/4 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) +nan.0) (+ (* (* 1/32 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/384 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 152.356 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) 152.389 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (pow (* PI 2) 1/4))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (log (* 2 PI)))) (- (* +nan.0 (pow (* PI 2) 1/4))))) k) (- (* +nan.0 (pow (* PI 2) 1/4))))) into (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 152.390 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 k)) 2) 2))) into (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) 152.390 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0 152.390 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 152.390 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 152.390 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 152.390 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 152.391 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 152.391 * [taylor]: Taking taylor expansion of 1/4 in k 152.391 * [backup-simplify]: Simplify 1/4 into 1/4 152.391 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.391 * [taylor]: Taking taylor expansion of 1 in k 152.391 * [backup-simplify]: Simplify 1 into 1 152.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.391 * [taylor]: Taking taylor expansion of k in k 152.391 * [backup-simplify]: Simplify 0 into 0 152.391 * [backup-simplify]: Simplify 1 into 1 152.391 * [backup-simplify]: Simplify (/ 1 1) into 1 152.391 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.391 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.391 * [taylor]: Taking taylor expansion of 2 in k 152.391 * [backup-simplify]: Simplify 2 into 2 152.391 * [taylor]: Taking taylor expansion of PI in k 152.391 * [backup-simplify]: Simplify PI into PI 152.392 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.393 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.393 * [backup-simplify]: Simplify (- 1) into -1 152.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.394 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 152.396 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 152.397 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.397 * [taylor]: Taking taylor expansion of (sqrt k) in k 152.397 * [taylor]: Taking taylor expansion of k in k 152.397 * [backup-simplify]: Simplify 0 into 0 152.397 * [backup-simplify]: Simplify 1 into 1 152.398 * [backup-simplify]: Simplify (sqrt 0) into 0 152.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.399 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) (sqrt k)) in k 152.399 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (- 1 (/ 1 k)))) in k 152.399 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 152.399 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI))) in k 152.399 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k 152.399 * [taylor]: Taking taylor expansion of 1/4 in k 152.399 * [backup-simplify]: Simplify 1/4 into 1/4 152.400 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 152.400 * [taylor]: Taking taylor expansion of 1 in k 152.400 * [backup-simplify]: Simplify 1 into 1 152.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.400 * [taylor]: Taking taylor expansion of k in k 152.400 * [backup-simplify]: Simplify 0 into 0 152.400 * [backup-simplify]: Simplify 1 into 1 152.400 * [backup-simplify]: Simplify (/ 1 1) into 1 152.400 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.400 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.400 * [taylor]: Taking taylor expansion of 2 in k 152.400 * [backup-simplify]: Simplify 2 into 2 152.400 * [taylor]: Taking taylor expansion of PI in k 152.400 * [backup-simplify]: Simplify PI into PI 152.401 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.402 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.402 * [backup-simplify]: Simplify (- 1) into -1 152.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 152.403 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4 152.405 * [backup-simplify]: Simplify (* -1/4 (log (* 2 PI))) into (* -1/4 (log (* 2 PI))) 152.406 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 152.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 152.406 * [taylor]: Taking taylor expansion of k in k 152.406 * [backup-simplify]: Simplify 0 into 0 152.406 * [backup-simplify]: Simplify 1 into 1 152.406 * [backup-simplify]: Simplify (sqrt 0) into 0 152.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 152.409 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0 152.409 * [backup-simplify]: Simplify 0 into 0 152.410 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.411 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 152.416 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.417 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 152.423 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.424 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) 152.428 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 152.429 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (/ (- 1 (/ 1 (- k))) 2) 2))) into (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 152.429 * [approximate]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0 152.429 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 152.429 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 152.429 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 152.429 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 152.429 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 152.429 * [taylor]: Taking taylor expansion of 1/4 in k 152.429 * [backup-simplify]: Simplify 1/4 into 1/4 152.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.429 * [taylor]: Taking taylor expansion of k in k 152.429 * [backup-simplify]: Simplify 0 into 0 152.429 * [backup-simplify]: Simplify 1 into 1 152.430 * [backup-simplify]: Simplify (/ 1 1) into 1 152.430 * [taylor]: Taking taylor expansion of 1 in k 152.430 * [backup-simplify]: Simplify 1 into 1 152.430 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.430 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.430 * [taylor]: Taking taylor expansion of 2 in k 152.430 * [backup-simplify]: Simplify 2 into 2 152.430 * [taylor]: Taking taylor expansion of PI in k 152.430 * [backup-simplify]: Simplify PI into PI 152.430 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.431 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.432 * [backup-simplify]: Simplify (+ 1 0) into 1 152.432 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.434 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.435 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 152.435 * [taylor]: Taking taylor expansion of (/ -1 k) in k 152.435 * [taylor]: Taking taylor expansion of -1 in k 152.435 * [backup-simplify]: Simplify -1 into -1 152.435 * [taylor]: Taking taylor expansion of k in k 152.435 * [backup-simplify]: Simplify 0 into 0 152.435 * [backup-simplify]: Simplify 1 into 1 152.436 * [backup-simplify]: Simplify (/ -1 1) into -1 152.436 * [backup-simplify]: Simplify (sqrt 0) into 0 152.437 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 152.439 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 152.439 * [taylor]: Taking taylor expansion of (/ (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 152.439 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/4 (+ (/ 1 k) 1))) in k 152.439 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 152.439 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 152.439 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k 152.439 * [taylor]: Taking taylor expansion of 1/4 in k 152.439 * [backup-simplify]: Simplify 1/4 into 1/4 152.439 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 152.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 152.439 * [taylor]: Taking taylor expansion of k in k 152.439 * [backup-simplify]: Simplify 0 into 0 152.439 * [backup-simplify]: Simplify 1 into 1 152.440 * [backup-simplify]: Simplify (/ 1 1) into 1 152.440 * [taylor]: Taking taylor expansion of 1 in k 152.440 * [backup-simplify]: Simplify 1 into 1 152.440 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 152.440 * [taylor]: Taking taylor expansion of (* 2 PI) in k 152.440 * [taylor]: Taking taylor expansion of 2 in k 152.440 * [backup-simplify]: Simplify 2 into 2 152.440 * [taylor]: Taking taylor expansion of PI in k 152.440 * [backup-simplify]: Simplify PI into PI 152.440 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 152.441 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 152.442 * [backup-simplify]: Simplify (+ 1 0) into 1 152.442 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 152.444 * [backup-simplify]: Simplify (* 1/4 (log (* 2 PI))) into (* 1/4 (log (* 2 PI))) 152.445 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 152.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 152.445 * [taylor]: Taking taylor expansion of (/ -1 k) in k 152.445 * [taylor]: Taking taylor expansion of -1 in k 152.445 * [backup-simplify]: Simplify -1 into -1 152.445 * [taylor]: Taking taylor expansion of k in k 152.445 * [backup-simplify]: Simplify 0 into 0 152.445 * [backup-simplify]: Simplify 1 into 1 152.446 * [backup-simplify]: Simplify (/ -1 1) into -1 152.446 * [backup-simplify]: Simplify (sqrt 0) into 0 152.447 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 152.449 * [backup-simplify]: Simplify (/ (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 152.450 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 152.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 152.453 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 152.455 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 152.457 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 152.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 152.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 152.469 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 152.470 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 152.474 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 152.474 * * * [progress]: simplifying candidates 152.474 * * * * [progress]: [ 1 / 425 ] simplifiying candidate # 152.474 * * * * [progress]: [ 2 / 425 ] simplifiying candidate # 152.474 * * * * [progress]: [ 3 / 425 ] simplifiying candidate # 152.475 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 152.475 * * [simplify]: iters left: 6 (8 enodes) 152.480 * * [simplify]: iters left: 5 (35 enodes) 152.492 * * [simplify]: iters left: 4 (56 enodes) 152.510 * * [simplify]: iters left: 3 (72 enodes) 152.534 * * [simplify]: iters left: 2 (129 enodes) 152.560 * * [simplify]: iters left: 1 (172 enodes) 152.611 * * [simplify]: Extracting #0: cost 1 inf + 0 152.611 * * [simplify]: Extracting #1: cost 17 inf + 0 152.611 * * [simplify]: Extracting #2: cost 42 inf + 3 152.611 * * [simplify]: Extracting #3: cost 29 inf + 1337 152.612 * * [simplify]: Extracting #4: cost 4 inf + 4499 152.614 * * [simplify]: Extracting #5: cost 0 inf + 5037 152.615 * * [simplify]: Extracting #6: cost 0 inf + 5034 152.617 * [simplify]: Simplified to (* 1/2 (- (log n) (* k (log n)))) 152.617 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* 1/2 (- (log n) (* k (log n)))))))) 152.617 * * * * [progress]: [ 4 / 425 ] simplifiying candidate # 152.617 * * * * [progress]: [ 5 / 425 ] simplifiying candidate # 152.617 * * * * [progress]: [ 6 / 425 ] simplifiying candidate # 152.617 * [simplify]: Simplifying (pow n (/ k 2)) 152.617 * * [simplify]: iters left: 3 (5 enodes) 152.619 * * [simplify]: iters left: 2 (18 enodes) 152.622 * * [simplify]: iters left: 1 (30 enodes) 152.631 * * [simplify]: Extracting #0: cost 1 inf + 0 152.631 * * [simplify]: Extracting #1: cost 10 inf + 0 152.631 * * [simplify]: Extracting #2: cost 23 inf + 1 152.631 * * [simplify]: Extracting #3: cost 23 inf + 46 152.632 * * [simplify]: Extracting #4: cost 11 inf + 1346 152.632 * * [simplify]: Extracting #5: cost 1 inf + 3938 152.633 * * [simplify]: Extracting #6: cost 0 inf + 4111 152.634 * * [simplify]: Extracting #7: cost 0 inf + 4070 152.635 * [simplify]: Simplified to (pow n (/ k 2)) 152.635 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))) 152.635 * * * * [progress]: [ 7 / 425 ] simplifiying candidate # 152.635 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 152.636 * * [simplify]: iters left: 5 (6 enodes) 152.640 * * [simplify]: iters left: 4 (26 enodes) 152.645 * * [simplify]: iters left: 3 (35 enodes) 152.650 * * [simplify]: Extracting #0: cost 1 inf + 0 152.650 * * [simplify]: Extracting #1: cost 3 inf + 0 152.650 * * [simplify]: Extracting #2: cost 8 inf + 0 152.650 * * [simplify]: Extracting #3: cost 11 inf + 2 152.650 * * [simplify]: Extracting #4: cost 8 inf + 87 152.650 * * [simplify]: Extracting #5: cost 2 inf + 500 152.650 * * [simplify]: Extracting #6: cost 0 inf + 746 152.651 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 152.651 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) 152.651 * * * * [progress]: [ 8 / 425 ] simplifiying candidate # 152.651 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 152.651 * * [simplify]: iters left: 5 (6 enodes) 152.653 * * [simplify]: iters left: 4 (26 enodes) 152.658 * * [simplify]: iters left: 3 (35 enodes) 152.663 * * [simplify]: Extracting #0: cost 1 inf + 0 152.663 * * [simplify]: Extracting #1: cost 3 inf + 0 152.663 * * [simplify]: Extracting #2: cost 8 inf + 0 152.664 * * [simplify]: Extracting #3: cost 11 inf + 2 152.664 * * [simplify]: Extracting #4: cost 8 inf + 87 152.664 * * [simplify]: Extracting #5: cost 2 inf + 460 152.664 * * [simplify]: Extracting #6: cost 0 inf + 666 152.664 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 152.664 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) 152.664 * * * * [progress]: [ 9 / 425 ] simplifiying candidate # 152.664 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 152.664 * * [simplify]: iters left: 5 (7 enodes) 152.667 * * [simplify]: iters left: 4 (25 enodes) 152.674 * * [simplify]: iters left: 3 (30 enodes) 152.686 * * [simplify]: Extracting #0: cost 1 inf + 0 152.686 * * [simplify]: Extracting #1: cost 4 inf + 0 152.686 * * [simplify]: Extracting #2: cost 8 inf + 0 152.686 * * [simplify]: Extracting #3: cost 10 inf + 82 152.686 * * [simplify]: Extracting #4: cost 7 inf + 206 152.686 * * [simplify]: Extracting #5: cost 2 inf + 575 152.686 * * [simplify]: Extracting #6: cost 1 inf + 818 152.686 * * [simplify]: Extracting #7: cost 0 inf + 1061 152.687 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 152.687 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))) 152.687 * * * * [progress]: [ 10 / 425 ] simplifiying candidate # 152.687 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 152.687 * * [simplify]: iters left: 5 (7 enodes) 152.689 * * [simplify]: iters left: 4 (25 enodes) 152.694 * * [simplify]: iters left: 3 (30 enodes) 152.699 * * [simplify]: Extracting #0: cost 1 inf + 0 152.699 * * [simplify]: Extracting #1: cost 4 inf + 0 152.699 * * [simplify]: Extracting #2: cost 8 inf + 0 152.699 * * [simplify]: Extracting #3: cost 10 inf + 42 152.699 * * [simplify]: Extracting #4: cost 7 inf + 126 152.699 * * [simplify]: Extracting #5: cost 2 inf + 495 152.699 * * [simplify]: Extracting #6: cost 1 inf + 698 152.699 * * [simplify]: Extracting #7: cost 0 inf + 901 152.700 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 152.700 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))) 152.700 * * * * [progress]: [ 11 / 425 ] simplifiying candidate # 152.700 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 152.700 * * [simplify]: iters left: 5 (6 enodes) 152.702 * * [simplify]: iters left: 4 (22 enodes) 152.705 * * [simplify]: iters left: 3 (27 enodes) 152.710 * * [simplify]: Extracting #0: cost 1 inf + 0 152.710 * * [simplify]: Extracting #1: cost 4 inf + 0 152.710 * * [simplify]: Extracting #2: cost 5 inf + 1 152.710 * * [simplify]: Extracting #3: cost 9 inf + 1 152.710 * * [simplify]: Extracting #4: cost 8 inf + 3 152.710 * * [simplify]: Extracting #5: cost 4 inf + 169 152.710 * * [simplify]: Extracting #6: cost 1 inf + 576 152.710 * * [simplify]: Extracting #7: cost 0 inf + 739 152.710 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 152.710 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))) 152.711 * * * * [progress]: [ 12 / 425 ] simplifiying candidate # 152.711 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 152.711 * * [simplify]: iters left: 5 (7 enodes) 152.714 * * [simplify]: iters left: 4 (25 enodes) 152.722 * * [simplify]: iters left: 3 (30 enodes) 152.730 * * [simplify]: Extracting #0: cost 1 inf + 0 152.730 * * [simplify]: Extracting #1: cost 4 inf + 0 152.731 * * [simplify]: Extracting #2: cost 8 inf + 0 152.731 * * [simplify]: Extracting #3: cost 10 inf + 82 152.731 * * [simplify]: Extracting #4: cost 7 inf + 206 152.731 * * [simplify]: Extracting #5: cost 2 inf + 495 152.731 * * [simplify]: Extracting #6: cost 1 inf + 698 152.731 * * [simplify]: Extracting #7: cost 0 inf + 901 152.731 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 152.731 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))) 152.731 * * * * [progress]: [ 13 / 425 ] simplifiying candidate # 152.732 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 152.732 * * [simplify]: iters left: 5 (7 enodes) 152.734 * * [simplify]: iters left: 4 (25 enodes) 152.738 * * [simplify]: iters left: 3 (30 enodes) 152.744 * * [simplify]: Extracting #0: cost 1 inf + 0 152.744 * * [simplify]: Extracting #1: cost 4 inf + 0 152.744 * * [simplify]: Extracting #2: cost 8 inf + 0 152.744 * * [simplify]: Extracting #3: cost 10 inf + 42 152.744 * * [simplify]: Extracting #4: cost 7 inf + 126 152.744 * * [simplify]: Extracting #5: cost 2 inf + 415 152.744 * * [simplify]: Extracting #6: cost 1 inf + 578 152.744 * * [simplify]: Extracting #7: cost 0 inf + 741 152.744 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 152.744 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))) 152.745 * * * * [progress]: [ 14 / 425 ] simplifiying candidate # 152.745 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 152.745 * * [simplify]: iters left: 5 (6 enodes) 152.747 * * [simplify]: iters left: 4 (22 enodes) 152.750 * * [simplify]: iters left: 3 (27 enodes) 152.755 * * [simplify]: Extracting #0: cost 1 inf + 0 152.755 * * [simplify]: Extracting #1: cost 4 inf + 0 152.755 * * [simplify]: Extracting #2: cost 5 inf + 1 152.755 * * [simplify]: Extracting #3: cost 9 inf + 1 152.755 * * [simplify]: Extracting #4: cost 8 inf + 3 152.755 * * [simplify]: Extracting #5: cost 4 inf + 169 152.756 * * [simplify]: Extracting #6: cost 1 inf + 456 152.756 * * [simplify]: Extracting #7: cost 0 inf + 579 152.756 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 152.756 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))) 152.756 * * * * [progress]: [ 15 / 425 ] simplifiying candidate # 152.757 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 152.757 * * [simplify]: iters left: 4 (6 enodes) 152.761 * * [simplify]: iters left: 3 (25 enodes) 152.770 * * [simplify]: iters left: 2 (36 enodes) 152.781 * * [simplify]: iters left: 1 (40 enodes) 152.795 * * [simplify]: Extracting #0: cost 1 inf + 0 152.795 * * [simplify]: Extracting #1: cost 7 inf + 0 152.795 * * [simplify]: Extracting #2: cost 16 inf + 0 152.796 * * [simplify]: Extracting #3: cost 13 inf + 44 152.796 * * [simplify]: Extracting #4: cost 3 inf + 1103 152.796 * * [simplify]: Extracting #5: cost 0 inf + 1469 152.797 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 152.797 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 152.797 * * * * [progress]: [ 16 / 425 ] simplifiying candidate # 152.797 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 152.798 * * [simplify]: iters left: 4 (6 enodes) 152.801 * * [simplify]: iters left: 3 (25 enodes) 152.811 * * [simplify]: iters left: 2 (36 enodes) 152.821 * * [simplify]: iters left: 1 (40 enodes) 152.831 * * [simplify]: Extracting #0: cost 1 inf + 0 152.831 * * [simplify]: Extracting #1: cost 7 inf + 0 152.831 * * [simplify]: Extracting #2: cost 16 inf + 0 152.831 * * [simplify]: Extracting #3: cost 13 inf + 44 152.831 * * [simplify]: Extracting #4: cost 3 inf + 823 152.831 * * [simplify]: Extracting #5: cost 0 inf + 1069 152.832 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 152.832 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 152.832 * * * * [progress]: [ 17 / 425 ] simplifiying candidate # 152.832 * [simplify]: Simplifying (/ (- 1 k) 2) 152.832 * * [simplify]: iters left: 4 (5 enodes) 152.834 * * [simplify]: iters left: 3 (23 enodes) 152.838 * * [simplify]: iters left: 2 (32 enodes) 152.843 * * [simplify]: Extracting #0: cost 1 inf + 0 152.843 * * [simplify]: Extracting #1: cost 6 inf + 0 152.843 * * [simplify]: Extracting #2: cost 9 inf + 2 152.843 * * [simplify]: Extracting #3: cost 6 inf + 87 152.843 * * [simplify]: Extracting #4: cost 0 inf + 420 152.843 * [simplify]: Simplified to (/ (- 1 k) 2) 152.843 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 1)) (/ (- 1 k) 2))))) 152.844 * * * * [progress]: [ 18 / 425 ] simplifiying candidate # 152.844 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 152.844 * * [simplify]: iters left: 5 (8 enodes) 152.847 * * [simplify]: iters left: 4 (31 enodes) 152.852 * * [simplify]: iters left: 3 (45 enodes) 152.859 * * [simplify]: iters left: 2 (51 enodes) 152.866 * * [simplify]: iters left: 1 (52 enodes) 152.874 * * [simplify]: Extracting #0: cost 1 inf + 0 152.874 * * [simplify]: Extracting #1: cost 8 inf + 0 152.874 * * [simplify]: Extracting #2: cost 18 inf + 0 152.874 * * [simplify]: Extracting #3: cost 19 inf + 2 152.874 * * [simplify]: Extracting #4: cost 9 inf + 977 152.874 * * [simplify]: Extracting #5: cost 2 inf + 1790 152.875 * * [simplify]: Extracting #6: cost 0 inf + 2195 152.875 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 152.875 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 152.875 * * * * [progress]: [ 19 / 425 ] simplifiying candidate # 152.875 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 152.875 * * [simplify]: iters left: 5 (8 enodes) 152.878 * * [simplify]: iters left: 4 (31 enodes) 152.883 * * [simplify]: iters left: 3 (45 enodes) 152.891 * * [simplify]: iters left: 2 (51 enodes) 152.898 * * [simplify]: iters left: 1 (52 enodes) 152.905 * * [simplify]: Extracting #0: cost 1 inf + 0 152.905 * * [simplify]: Extracting #1: cost 8 inf + 0 152.906 * * [simplify]: Extracting #2: cost 18 inf + 0 152.906 * * [simplify]: Extracting #3: cost 19 inf + 2 152.906 * * [simplify]: Extracting #4: cost 9 inf + 697 152.906 * * [simplify]: Extracting #5: cost 2 inf + 1390 152.906 * * [simplify]: Extracting #6: cost 0 inf + 1715 152.907 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 152.907 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 152.907 * * * * [progress]: [ 20 / 425 ] simplifiying candidate # 152.907 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 152.907 * * [simplify]: iters left: 5 (7 enodes) 152.911 * * [simplify]: iters left: 4 (29 enodes) 152.920 * * [simplify]: iters left: 3 (43 enodes) 152.932 * * [simplify]: iters left: 2 (47 enodes) 152.943 * * [simplify]: Extracting #0: cost 1 inf + 0 152.943 * * [simplify]: Extracting #1: cost 7 inf + 0 152.944 * * [simplify]: Extracting #2: cost 11 inf + 2 152.944 * * [simplify]: Extracting #3: cost 13 inf + 3 152.944 * * [simplify]: Extracting #4: cost 11 inf + 45 152.944 * * [simplify]: Extracting #5: cost 0 inf + 1066 152.945 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 152.945 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 152.945 * * * * [progress]: [ 21 / 425 ] simplifiying candidate # 152.945 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 152.945 * * [simplify]: iters left: 5 (7 enodes) 152.950 * * [simplify]: iters left: 4 (28 enodes) 152.959 * * [simplify]: iters left: 3 (39 enodes) 152.971 * * [simplify]: iters left: 2 (43 enodes) 152.984 * * [simplify]: Extracting #0: cost 1 inf + 0 152.984 * * [simplify]: Extracting #1: cost 7 inf + 0 152.984 * * [simplify]: Extracting #2: cost 16 inf + 0 152.984 * * [simplify]: Extracting #3: cost 15 inf + 164 152.984 * * [simplify]: Extracting #4: cost 13 inf + 287 152.985 * * [simplify]: Extracting #5: cost 5 inf + 1180 152.985 * * [simplify]: Extracting #6: cost 0 inf + 1951 152.986 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 152.986 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))) 152.986 * * * * [progress]: [ 22 / 425 ] simplifiying candidate # 152.987 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 152.987 * * [simplify]: iters left: 5 (7 enodes) 152.991 * * [simplify]: iters left: 4 (28 enodes) 153.001 * * [simplify]: iters left: 3 (39 enodes) 153.012 * * [simplify]: iters left: 2 (43 enodes) 153.025 * * [simplify]: Extracting #0: cost 1 inf + 0 153.025 * * [simplify]: Extracting #1: cost 7 inf + 0 153.025 * * [simplify]: Extracting #2: cost 16 inf + 0 153.025 * * [simplify]: Extracting #3: cost 15 inf + 84 153.025 * * [simplify]: Extracting #4: cost 13 inf + 167 153.025 * * [simplify]: Extracting #5: cost 5 inf + 900 153.026 * * [simplify]: Extracting #6: cost 0 inf + 1551 153.027 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 153.027 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))) 153.027 * * * * [progress]: [ 23 / 425 ] simplifiying candidate # 153.029 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 153.029 * * [simplify]: iters left: 5 (6 enodes) 153.033 * * [simplify]: iters left: 4 (26 enodes) 153.041 * * [simplify]: iters left: 3 (35 enodes) 153.051 * * [simplify]: Extracting #0: cost 1 inf + 0 153.051 * * [simplify]: Extracting #1: cost 6 inf + 0 153.051 * * [simplify]: Extracting #2: cost 9 inf + 2 153.051 * * [simplify]: Extracting #3: cost 11 inf + 3 153.051 * * [simplify]: Extracting #4: cost 10 inf + 4 153.052 * * [simplify]: Extracting #5: cost 3 inf + 535 153.052 * * [simplify]: Extracting #6: cost 0 inf + 822 153.052 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 153.052 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))) 153.053 * * * * [progress]: [ 24 / 425 ] simplifiying candidate # 153.053 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 153.053 * * [simplify]: iters left: 4 (6 enodes) 153.057 * * [simplify]: iters left: 3 (25 enodes) 153.066 * * [simplify]: iters left: 2 (36 enodes) 153.077 * * [simplify]: iters left: 1 (40 enodes) 153.089 * * [simplify]: Extracting #0: cost 1 inf + 0 153.089 * * [simplify]: Extracting #1: cost 7 inf + 0 153.089 * * [simplify]: Extracting #2: cost 16 inf + 0 153.089 * * [simplify]: Extracting #3: cost 13 inf + 44 153.089 * * [simplify]: Extracting #4: cost 3 inf + 1103 153.090 * * [simplify]: Extracting #5: cost 0 inf + 1469 153.090 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 153.090 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))) 153.091 * * * * [progress]: [ 25 / 425 ] simplifiying candidate # 153.091 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 153.091 * * [simplify]: iters left: 4 (6 enodes) 153.095 * * [simplify]: iters left: 3 (25 enodes) 153.102 * * [simplify]: iters left: 2 (36 enodes) 153.108 * * [simplify]: iters left: 1 (40 enodes) 153.114 * * [simplify]: Extracting #0: cost 1 inf + 0 153.114 * * [simplify]: Extracting #1: cost 7 inf + 0 153.114 * * [simplify]: Extracting #2: cost 16 inf + 0 153.114 * * [simplify]: Extracting #3: cost 13 inf + 44 153.114 * * [simplify]: Extracting #4: cost 3 inf + 823 153.114 * * [simplify]: Extracting #5: cost 0 inf + 1069 153.115 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 153.115 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))) 153.115 * * * * [progress]: [ 26 / 425 ] simplifiying candidate # 153.115 * [simplify]: Simplifying (/ (- 1 k) 2) 153.115 * * [simplify]: iters left: 4 (5 enodes) 153.117 * * [simplify]: iters left: 3 (23 enodes) 153.121 * * [simplify]: iters left: 2 (32 enodes) 153.126 * * [simplify]: Extracting #0: cost 1 inf + 0 153.126 * * [simplify]: Extracting #1: cost 6 inf + 0 153.126 * * [simplify]: Extracting #2: cost 9 inf + 2 153.126 * * [simplify]: Extracting #3: cost 6 inf + 87 153.126 * * [simplify]: Extracting #4: cost 0 inf + 420 153.126 * [simplify]: Simplified to (/ (- 1 k) 2) 153.126 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (/ 1 1)) (/ (- 1 k) 2))))) 153.127 * * * * [progress]: [ 27 / 425 ] simplifiying candidate # 153.127 * [simplify]: Simplifying (/ (- 1 k) 2) 153.127 * * [simplify]: iters left: 4 (5 enodes) 153.129 * * [simplify]: iters left: 3 (23 enodes) 153.133 * * [simplify]: iters left: 2 (32 enodes) 153.138 * * [simplify]: Extracting #0: cost 1 inf + 0 153.138 * * [simplify]: Extracting #1: cost 6 inf + 0 153.138 * * [simplify]: Extracting #2: cost 9 inf + 2 153.138 * * [simplify]: Extracting #3: cost 6 inf + 87 153.138 * * [simplify]: Extracting #4: cost 0 inf + 420 153.138 * [simplify]: Simplified to (/ (- 1 k) 2) 153.139 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n 1) (/ (- 1 k) 2))))) 153.139 * * * * [progress]: [ 28 / 425 ] simplifiying candidate # 153.139 * [simplify]: Simplifying (/ 1 2) 153.139 * * [simplify]: iters left: 2 (3 enodes) 153.141 * * [simplify]: iters left: 1 (12 enodes) 153.147 * * [simplify]: Extracting #0: cost 1 inf + 0 153.147 * * [simplify]: Extracting #1: cost 0 inf + 1 153.147 * [simplify]: Simplified to 1/2 153.147 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (pow n (- 1 k)) 1/2)))) 153.147 * * * * [progress]: [ 29 / 425 ] simplifiying candidate # 153.147 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 153.147 * * [simplify]: iters left: 5 (9 enodes) 153.153 * * [simplify]: iters left: 4 (38 enodes) 153.166 * * [simplify]: iters left: 3 (63 enodes) 153.187 * * [simplify]: iters left: 2 (98 enodes) 153.221 * * [simplify]: iters left: 1 (167 enodes) 153.259 * * [simplify]: Extracting #0: cost 1 inf + 0 153.259 * * [simplify]: Extracting #1: cost 13 inf + 0 153.260 * * [simplify]: Extracting #2: cost 54 inf + 1 153.260 * * [simplify]: Extracting #3: cost 87 inf + 5 153.261 * * [simplify]: Extracting #4: cost 68 inf + 1334 153.266 * * [simplify]: Extracting #5: cost 40 inf + 5047 153.270 * * [simplify]: Extracting #6: cost 11 inf + 17686 153.277 * * [simplify]: Extracting #7: cost 0 inf + 25802 153.284 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 153.284 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2)))))) 153.284 * * * * [progress]: [ 30 / 425 ] simplifiying candidate # 153.285 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 153.285 * * [simplify]: iters left: 5 (8 enodes) 153.290 * * [simplify]: iters left: 4 (35 enodes) 153.301 * * [simplify]: iters left: 3 (56 enodes) 153.313 * * [simplify]: iters left: 2 (89 enodes) 153.331 * * [simplify]: iters left: 1 (175 enodes) 153.390 * * [simplify]: Extracting #0: cost 1 inf + 0 153.390 * * [simplify]: Extracting #1: cost 13 inf + 0 153.390 * * [simplify]: Extracting #2: cost 53 inf + 1 153.391 * * [simplify]: Extracting #3: cost 83 inf + 47 153.392 * * [simplify]: Extracting #4: cost 60 inf + 2914 153.396 * * [simplify]: Extracting #5: cost 14 inf + 15118 153.402 * * [simplify]: Extracting #6: cost 1 inf + 21571 153.408 * * [simplify]: Extracting #7: cost 0 inf + 21783 153.414 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 153.414 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2)))))) 153.415 * * * * [progress]: [ 31 / 425 ] simplifiying candidate # 153.415 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 153.415 * * [simplify]: iters left: 5 (6 enodes) 153.419 * * [simplify]: iters left: 4 (24 enodes) 153.427 * * [simplify]: iters left: 3 (33 enodes) 153.437 * * [simplify]: Extracting #0: cost 1 inf + 0 153.437 * * [simplify]: Extracting #1: cost 0 inf + 1 153.437 * [simplify]: Simplified to 1 153.437 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* 1 (pow n (/ (- 1 k) 2)))))) 153.437 * * * * [progress]: [ 32 / 425 ] simplifiying candidate # 153.437 * * * * [progress]: [ 33 / 425 ] simplifiying candidate # 153.437 * * * * [progress]: [ 34 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 35 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 36 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 37 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 38 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 39 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 40 / 425 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))))))> 153.438 * * * * [progress]: [ 41 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 42 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 43 / 425 ] simplifiying candidate # 153.438 * * * * [progress]: [ 44 / 425 ] simplifiying candidate # 153.439 * [simplify]: Simplifying (- 1/2) 153.439 * * [simplify]: iters left: 2 (2 enodes) 153.441 * * [simplify]: iters left: 1 (7 enodes) 153.443 * * [simplify]: Extracting #0: cost 1 inf + 0 153.443 * * [simplify]: Extracting #1: cost 0 inf + 1 153.444 * [simplify]: Simplified to -1/2 153.444 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.444 * * * * [progress]: [ 45 / 425 ] simplifiying candidate # 153.444 * [simplify]: Simplifying (- 1) 153.444 * * [simplify]: iters left: 2 (2 enodes) 153.446 * * [simplify]: iters left: 1 (9 enodes) 153.449 * * [simplify]: Extracting #0: cost 1 inf + 0 153.449 * * [simplify]: Extracting #1: cost 0 inf + 1 153.449 * [simplify]: Simplified to -1 153.449 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.449 * * * * [progress]: [ 46 / 425 ] simplifiying candidate # 153.450 * [simplify]: Simplifying (- (/ 1 2)) 153.450 * * [simplify]: iters left: 4 (4 enodes) 153.454 * * [simplify]: iters left: 3 (19 enodes) 153.460 * * [simplify]: iters left: 2 (23 enodes) 153.467 * * [simplify]: Extracting #0: cost 1 inf + 0 153.467 * * [simplify]: Extracting #1: cost 0 inf + 1 153.467 * [simplify]: Simplified to -1/2 153.467 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.467 * * * * [progress]: [ 47 / 425 ] simplifiying candidate # 153.467 * * * * [progress]: [ 48 / 425 ] simplifiying candidate # 153.467 * * * * [progress]: [ 49 / 425 ] simplifiying candidate # 153.468 * [simplify]: Simplifying (- 0 (log (sqrt k))) 153.468 * * [simplify]: iters left: 4 (5 enodes) 153.470 * * [simplify]: iters left: 3 (17 enodes) 153.476 * * [simplify]: iters left: 2 (21 enodes) 153.481 * * [simplify]: iters left: 1 (23 enodes) 153.488 * * [simplify]: Extracting #0: cost 1 inf + 0 153.488 * * [simplify]: Extracting #1: cost 4 inf + 0 153.488 * * [simplify]: Extracting #2: cost 5 inf + 1 153.488 * * [simplify]: Extracting #3: cost 7 inf + 1 153.488 * * [simplify]: Extracting #4: cost 0 inf + 608 153.489 * [simplify]: Simplified to (- (log (sqrt k))) 153.489 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.489 * * * * [progress]: [ 50 / 425 ] simplifiying candidate # 153.489 * [simplify]: Simplifying (- (log 1) (log (sqrt k))) 153.489 * * [simplify]: iters left: 4 (6 enodes) 153.493 * * [simplify]: iters left: 3 (22 enodes) 153.498 * * [simplify]: Extracting #0: cost 1 inf + 0 153.498 * * [simplify]: Extracting #1: cost 4 inf + 0 153.498 * * [simplify]: Extracting #2: cost 5 inf + 1 153.498 * * [simplify]: Extracting #3: cost 7 inf + 1 153.498 * * [simplify]: Extracting #4: cost 6 inf + 2 153.498 * * [simplify]: Extracting #5: cost 1 inf + 457 153.498 * * [simplify]: Extracting #6: cost 0 inf + 608 153.498 * [simplify]: Simplified to (- (log (sqrt k))) 153.498 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.498 * * * * [progress]: [ 51 / 425 ] simplifiying candidate # 153.498 * * * * [progress]: [ 52 / 425 ] simplifiying candidate # 153.498 * * * * [progress]: [ 53 / 425 ] simplifiying candidate # 153.498 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) 153.499 * * [simplify]: iters left: 6 (8 enodes) 153.501 * * [simplify]: iters left: 5 (26 enodes) 153.505 * * [simplify]: iters left: 4 (43 enodes) 153.513 * * [simplify]: iters left: 3 (59 enodes) 153.522 * * [simplify]: iters left: 2 (67 enodes) 153.533 * * [simplify]: iters left: 1 (69 enodes) 153.550 * * [simplify]: Extracting #0: cost 1 inf + 0 153.550 * * [simplify]: Extracting #1: cost 14 inf + 0 153.550 * * [simplify]: Extracting #2: cost 18 inf + 2 153.550 * * [simplify]: Extracting #3: cost 7 inf + 701 153.551 * * [simplify]: Extracting #4: cost 0 inf + 1234 153.552 * [simplify]: Simplified to (/ (/ 1 k) (sqrt k)) 153.552 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (cbrt (/ (/ 1 k) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.552 * * * * [progress]: [ 54 / 425 ] simplifiying candidate # 153.552 * * * * [progress]: [ 55 / 425 ] simplifiying candidate # 153.552 * * * * [progress]: [ 56 / 425 ] simplifiying candidate # 153.552 * * * * [progress]: [ 57 / 425 ] simplifiying candidate # 153.552 * * * * [progress]: [ 58 / 425 ] simplifiying candidate # 153.552 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.552 * * [simplify]: iters left: 6 (8 enodes) 153.555 * * [simplify]: iters left: 5 (32 enodes) 153.560 * * [simplify]: iters left: 4 (48 enodes) 153.568 * * [simplify]: iters left: 3 (76 enodes) 153.579 * * [simplify]: iters left: 2 (81 enodes) 153.591 * * [simplify]: Extracting #0: cost 1 inf + 0 153.591 * * [simplify]: Extracting #1: cost 6 inf + 0 153.591 * * [simplify]: Extracting #2: cost 9 inf + 1 153.591 * * [simplify]: Extracting #3: cost 11 inf + 1 153.591 * * [simplify]: Extracting #4: cost 2 inf + 1052 153.592 * * [simplify]: Extracting #5: cost 0 inf + 1376 153.592 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.592 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.593 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt k))) 153.593 * * [simplify]: iters left: 4 (6 enodes) 153.597 * * [simplify]: iters left: 3 (20 enodes) 153.602 * * [simplify]: iters left: 2 (22 enodes) 153.606 * * [simplify]: Extracting #0: cost 1 inf + 0 153.606 * * [simplify]: Extracting #1: cost 4 inf + 0 153.606 * * [simplify]: Extracting #2: cost 5 inf + 1 153.606 * * [simplify]: Extracting #3: cost 7 inf + 1 153.607 * * [simplify]: Extracting #4: cost 1 inf + 488 153.607 * * [simplify]: Extracting #5: cost 0 inf + 650 153.607 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 153.607 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.607 * * * * [progress]: [ 59 / 425 ] simplifiying candidate # 153.607 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 153.607 * * [simplify]: iters left: 6 (8 enodes) 153.610 * * [simplify]: iters left: 5 (29 enodes) 153.617 * * [simplify]: iters left: 4 (31 enodes) 153.621 * * [simplify]: Extracting #0: cost 1 inf + 0 153.621 * * [simplify]: Extracting #1: cost 4 inf + 0 153.621 * * [simplify]: Extracting #2: cost 6 inf + 1 153.621 * * [simplify]: Extracting #3: cost 9 inf + 1 153.621 * * [simplify]: Extracting #4: cost 8 inf + 2 153.621 * * [simplify]: Extracting #5: cost 2 inf + 729 153.621 * * [simplify]: Extracting #6: cost 0 inf + 972 153.621 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.621 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.622 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt k))) 153.622 * * [simplify]: iters left: 4 (6 enodes) 153.624 * * [simplify]: iters left: 3 (20 enodes) 153.627 * * [simplify]: iters left: 2 (22 enodes) 153.630 * * [simplify]: Extracting #0: cost 1 inf + 0 153.630 * * [simplify]: Extracting #1: cost 4 inf + 0 153.630 * * [simplify]: Extracting #2: cost 5 inf + 1 153.630 * * [simplify]: Extracting #3: cost 7 inf + 1 153.630 * * [simplify]: Extracting #4: cost 1 inf + 568 153.630 * * [simplify]: Extracting #5: cost 0 inf + 730 153.630 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 153.630 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.630 * * * * [progress]: [ 60 / 425 ] simplifiying candidate # 153.631 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 153.631 * * [simplify]: iters left: 5 (7 enodes) 153.633 * * [simplify]: iters left: 4 (25 enodes) 153.637 * * [simplify]: iters left: 3 (27 enodes) 153.641 * * [simplify]: Extracting #0: cost 1 inf + 0 153.641 * * [simplify]: Extracting #1: cost 4 inf + 0 153.641 * * [simplify]: Extracting #2: cost 5 inf + 1 153.641 * * [simplify]: Extracting #3: cost 7 inf + 1 153.641 * * [simplify]: Extracting #4: cost 6 inf + 2 153.641 * * [simplify]: Extracting #5: cost 2 inf + 368 153.641 * * [simplify]: Extracting #6: cost 0 inf + 490 153.641 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.641 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.642 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 153.642 * * [simplify]: iters left: 4 (6 enodes) 153.644 * * [simplify]: iters left: 3 (20 enodes) 153.649 * * [simplify]: iters left: 2 (22 enodes) 153.654 * * [simplify]: Extracting #0: cost 1 inf + 0 153.655 * * [simplify]: Extracting #1: cost 4 inf + 0 153.655 * * [simplify]: Extracting #2: cost 5 inf + 1 153.655 * * [simplify]: Extracting #3: cost 7 inf + 1 153.655 * * [simplify]: Extracting #4: cost 1 inf + 368 153.655 * * [simplify]: Extracting #5: cost 0 inf + 490 153.655 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.655 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.655 * * * * [progress]: [ 61 / 425 ] simplifiying candidate # 153.656 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 153.656 * * [simplify]: iters left: 5 (5 enodes) 153.664 * * [simplify]: iters left: 4 (19 enodes) 153.669 * * [simplify]: iters left: 3 (21 enodes) 153.673 * * [simplify]: Extracting #0: cost 1 inf + 0 153.673 * * [simplify]: Extracting #1: cost 0 inf + 1 153.673 * [simplify]: Simplified to 1 153.673 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.674 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 153.674 * * [simplify]: iters left: 3 (5 enodes) 153.678 * * [simplify]: iters left: 2 (17 enodes) 153.683 * * [simplify]: iters left: 1 (19 enodes) 153.688 * * [simplify]: Extracting #0: cost 1 inf + 0 153.688 * * [simplify]: Extracting #1: cost 4 inf + 0 153.688 * * [simplify]: Extracting #2: cost 5 inf + 1 153.688 * * [simplify]: Extracting #3: cost 0 inf + 248 153.688 * [simplify]: Simplified to (/ 1 (sqrt k)) 153.688 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.689 * * * * [progress]: [ 62 / 425 ] simplifiying candidate # 153.689 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 153.689 * * [simplify]: iters left: 5 (7 enodes) 153.694 * * [simplify]: iters left: 4 (25 enodes) 153.702 * * [simplify]: iters left: 3 (27 enodes) 153.709 * * [simplify]: Extracting #0: cost 1 inf + 0 153.709 * * [simplify]: Extracting #1: cost 4 inf + 0 153.709 * * [simplify]: Extracting #2: cost 5 inf + 1 153.709 * * [simplify]: Extracting #3: cost 7 inf + 1 153.709 * * [simplify]: Extracting #4: cost 6 inf + 2 153.709 * * [simplify]: Extracting #5: cost 2 inf + 368 153.709 * * [simplify]: Extracting #6: cost 0 inf + 490 153.710 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.710 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.710 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt k))) 153.710 * * [simplify]: iters left: 4 (6 enodes) 153.714 * * [simplify]: iters left: 3 (20 enodes) 153.720 * * [simplify]: iters left: 2 (22 enodes) 153.726 * * [simplify]: Extracting #0: cost 1 inf + 0 153.726 * * [simplify]: Extracting #1: cost 4 inf + 0 153.726 * * [simplify]: Extracting #2: cost 5 inf + 1 153.726 * * [simplify]: Extracting #3: cost 7 inf + 1 153.726 * * [simplify]: Extracting #4: cost 1 inf + 368 153.726 * * [simplify]: Extracting #5: cost 0 inf + 490 153.727 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.727 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.727 * * * * [progress]: [ 63 / 425 ] simplifiying candidate # 153.727 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 153.727 * * [simplify]: iters left: 5 (4 enodes) 153.734 * * [simplify]: iters left: 4 (14 enodes) 153.739 * * [simplify]: iters left: 3 (16 enodes) 153.743 * * [simplify]: Extracting #0: cost 1 inf + 0 153.743 * * [simplify]: Extracting #1: cost 0 inf + 1 153.743 * [simplify]: Simplified to 1 153.743 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (cbrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.743 * [simplify]: Simplifying (/ (cbrt 1) (sqrt k)) 153.743 * * [simplify]: iters left: 3 (5 enodes) 153.747 * * [simplify]: iters left: 2 (17 enodes) 153.752 * * [simplify]: iters left: 1 (19 enodes) 153.758 * * [simplify]: Extracting #0: cost 1 inf + 0 153.758 * * [simplify]: Extracting #1: cost 4 inf + 0 153.758 * * [simplify]: Extracting #2: cost 5 inf + 1 153.758 * * [simplify]: Extracting #3: cost 0 inf + 248 153.758 * [simplify]: Simplified to (/ 1 (sqrt k)) 153.758 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.758 * * * * [progress]: [ 64 / 425 ] simplifiying candidate # 153.759 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.759 * * [simplify]: iters left: 6 (7 enodes) 153.763 * * [simplify]: iters left: 5 (25 enodes) 153.771 * * [simplify]: iters left: 4 (32 enodes) 153.776 * * [simplify]: iters left: 3 (34 enodes) 153.782 * * [simplify]: Extracting #0: cost 1 inf + 0 153.782 * * [simplify]: Extracting #1: cost 7 inf + 0 153.782 * * [simplify]: Extracting #2: cost 11 inf + 1 153.782 * * [simplify]: Extracting #3: cost 13 inf + 1 153.782 * * [simplify]: Extracting #4: cost 10 inf + 84 153.782 * * [simplify]: Extracting #5: cost 4 inf + 1014 153.782 * * [simplify]: Extracting #6: cost 1 inf + 1498 153.783 * * [simplify]: Extracting #7: cost 0 inf + 1700 153.783 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 153.783 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.783 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt k))) 153.783 * * [simplify]: iters left: 4 (6 enodes) 153.786 * * [simplify]: iters left: 3 (20 enodes) 153.789 * * [simplify]: iters left: 2 (22 enodes) 153.793 * * [simplify]: Extracting #0: cost 1 inf + 0 153.793 * * [simplify]: Extracting #1: cost 4 inf + 0 153.793 * * [simplify]: Extracting #2: cost 5 inf + 1 153.793 * * [simplify]: Extracting #3: cost 7 inf + 1 153.793 * * [simplify]: Extracting #4: cost 1 inf + 488 153.793 * * [simplify]: Extracting #5: cost 0 inf + 650 153.793 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 153.793 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.793 * * * * [progress]: [ 65 / 425 ] simplifiying candidate # 153.793 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 153.794 * * [simplify]: iters left: 6 (7 enodes) 153.796 * * [simplify]: iters left: 5 (24 enodes) 153.800 * * [simplify]: iters left: 4 (26 enodes) 153.804 * * [simplify]: Extracting #0: cost 1 inf + 0 153.805 * * [simplify]: Extracting #1: cost 4 inf + 0 153.805 * * [simplify]: Extracting #2: cost 6 inf + 1 153.805 * * [simplify]: Extracting #3: cost 9 inf + 1 153.805 * * [simplify]: Extracting #4: cost 8 inf + 2 153.805 * * [simplify]: Extracting #5: cost 2 inf + 730 153.805 * * [simplify]: Extracting #6: cost 0 inf + 972 153.805 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.805 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.805 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt k))) 153.806 * * [simplify]: iters left: 4 (6 enodes) 153.808 * * [simplify]: iters left: 3 (20 enodes) 153.811 * * [simplify]: iters left: 2 (22 enodes) 153.814 * * [simplify]: Extracting #0: cost 1 inf + 0 153.814 * * [simplify]: Extracting #1: cost 4 inf + 0 153.814 * * [simplify]: Extracting #2: cost 5 inf + 1 153.814 * * [simplify]: Extracting #3: cost 7 inf + 1 153.814 * * [simplify]: Extracting #4: cost 1 inf + 568 153.814 * * [simplify]: Extracting #5: cost 0 inf + 730 153.814 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 153.814 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.815 * * * * [progress]: [ 66 / 425 ] simplifiying candidate # 153.815 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.815 * * [simplify]: iters left: 4 (6 enodes) 153.817 * * [simplify]: iters left: 3 (20 enodes) 153.820 * * [simplify]: iters left: 2 (22 enodes) 153.823 * * [simplify]: Extracting #0: cost 1 inf + 0 153.823 * * [simplify]: Extracting #1: cost 4 inf + 0 153.823 * * [simplify]: Extracting #2: cost 5 inf + 1 153.823 * * [simplify]: Extracting #3: cost 7 inf + 1 153.824 * * [simplify]: Extracting #4: cost 1 inf + 368 153.824 * * [simplify]: Extracting #5: cost 0 inf + 490 153.824 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.824 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.824 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.824 * * [simplify]: iters left: 4 (6 enodes) 153.826 * * [simplify]: iters left: 3 (20 enodes) 153.830 * * [simplify]: iters left: 2 (22 enodes) 153.836 * * [simplify]: Extracting #0: cost 1 inf + 0 153.836 * * [simplify]: Extracting #1: cost 4 inf + 0 153.836 * * [simplify]: Extracting #2: cost 5 inf + 1 153.836 * * [simplify]: Extracting #3: cost 7 inf + 1 153.836 * * [simplify]: Extracting #4: cost 1 inf + 368 153.837 * * [simplify]: Extracting #5: cost 0 inf + 490 153.837 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.837 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.837 * * * * [progress]: [ 67 / 425 ] simplifiying candidate # 153.837 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 153.837 * * [simplify]: iters left: 3 (3 enodes) 153.841 * * [simplify]: iters left: 2 (9 enodes) 153.844 * * [simplify]: iters left: 1 (11 enodes) 153.847 * * [simplify]: Extracting #0: cost 1 inf + 0 153.847 * * [simplify]: Extracting #1: cost 0 inf + 1 153.847 * [simplify]: Simplified to 1 153.847 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.848 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 153.848 * * [simplify]: iters left: 3 (5 enodes) 153.855 * * [simplify]: iters left: 2 (17 enodes) 153.860 * * [simplify]: iters left: 1 (19 enodes) 153.865 * * [simplify]: Extracting #0: cost 1 inf + 0 153.865 * * [simplify]: Extracting #1: cost 4 inf + 0 153.865 * * [simplify]: Extracting #2: cost 5 inf + 1 153.865 * * [simplify]: Extracting #3: cost 0 inf + 248 153.866 * [simplify]: Simplified to (/ 1 (sqrt k)) 153.866 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.866 * * * * [progress]: [ 68 / 425 ] simplifiying candidate # 153.866 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.866 * * [simplify]: iters left: 4 (6 enodes) 153.870 * * [simplify]: iters left: 3 (20 enodes) 153.876 * * [simplify]: iters left: 2 (22 enodes) 153.882 * * [simplify]: Extracting #0: cost 1 inf + 0 153.882 * * [simplify]: Extracting #1: cost 4 inf + 0 153.882 * * [simplify]: Extracting #2: cost 5 inf + 1 153.882 * * [simplify]: Extracting #3: cost 7 inf + 1 153.882 * * [simplify]: Extracting #4: cost 1 inf + 368 153.883 * * [simplify]: Extracting #5: cost 0 inf + 490 153.883 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.883 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.883 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 153.883 * * [simplify]: iters left: 4 (6 enodes) 153.887 * * [simplify]: iters left: 3 (20 enodes) 153.893 * * [simplify]: iters left: 2 (22 enodes) 153.899 * * [simplify]: Extracting #0: cost 1 inf + 0 153.899 * * [simplify]: Extracting #1: cost 4 inf + 0 153.899 * * [simplify]: Extracting #2: cost 5 inf + 1 153.899 * * [simplify]: Extracting #3: cost 7 inf + 1 153.899 * * [simplify]: Extracting #4: cost 1 inf + 368 153.900 * * [simplify]: Extracting #5: cost 0 inf + 490 153.900 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.900 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.900 * * * * [progress]: [ 69 / 425 ] simplifiying candidate # 153.900 * [simplify]: Simplifying (/ (sqrt 1) 1) 153.900 * * [simplify]: iters left: 3 (3 enodes) 153.904 * * [simplify]: iters left: 2 (9 enodes) 153.906 * * [simplify]: iters left: 1 (11 enodes) 153.910 * * [simplify]: Extracting #0: cost 1 inf + 0 153.910 * * [simplify]: Extracting #1: cost 0 inf + 1 153.910 * [simplify]: Simplified to 1 153.910 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ (sqrt 1) (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.910 * [simplify]: Simplifying (/ (sqrt 1) (sqrt k)) 153.910 * * [simplify]: iters left: 3 (5 enodes) 153.914 * * [simplify]: iters left: 2 (17 enodes) 153.919 * * [simplify]: iters left: 1 (19 enodes) 153.925 * * [simplify]: Extracting #0: cost 1 inf + 0 153.925 * * [simplify]: Extracting #1: cost 4 inf + 0 153.925 * * [simplify]: Extracting #2: cost 5 inf + 1 153.925 * * [simplify]: Extracting #3: cost 0 inf + 248 153.925 * [simplify]: Simplified to (/ 1 (sqrt k)) 153.925 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.925 * * * * [progress]: [ 70 / 425 ] simplifiying candidate # 153.926 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.926 * * [simplify]: iters left: 6 (6 enodes) 153.929 * * [simplify]: iters left: 5 (22 enodes) 153.936 * * [simplify]: iters left: 4 (26 enodes) 153.940 * * [simplify]: Extracting #0: cost 1 inf + 0 153.940 * * [simplify]: Extracting #1: cost 6 inf + 0 153.940 * * [simplify]: Extracting #2: cost 9 inf + 1 153.940 * * [simplify]: Extracting #3: cost 11 inf + 1 153.940 * * [simplify]: Extracting #4: cost 8 inf + 84 153.940 * * [simplify]: Extracting #5: cost 2 inf + 1013 153.940 * * [simplify]: Extracting #6: cost 0 inf + 1376 153.940 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 153.941 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.941 * [simplify]: Simplifying (/ 1 (cbrt (sqrt k))) 153.941 * * [simplify]: iters left: 4 (5 enodes) 153.942 * * [simplify]: iters left: 3 (17 enodes) 153.945 * * [simplify]: iters left: 2 (19 enodes) 153.948 * * [simplify]: Extracting #0: cost 1 inf + 0 153.948 * * [simplify]: Extracting #1: cost 4 inf + 0 153.948 * * [simplify]: Extracting #2: cost 5 inf + 1 153.948 * * [simplify]: Extracting #3: cost 7 inf + 1 153.948 * * [simplify]: Extracting #4: cost 0 inf + 650 153.948 * [simplify]: Simplified to (/ 1 (cbrt (sqrt k))) 153.948 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.948 * * * * [progress]: [ 71 / 425 ] simplifiying candidate # 153.948 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 153.948 * * [simplify]: iters left: 6 (6 enodes) 153.950 * * [simplify]: iters left: 5 (21 enodes) 153.953 * * [simplify]: iters left: 4 (23 enodes) 153.957 * * [simplify]: Extracting #0: cost 1 inf + 0 153.957 * * [simplify]: Extracting #1: cost 4 inf + 0 153.957 * * [simplify]: Extracting #2: cost 6 inf + 1 153.957 * * [simplify]: Extracting #3: cost 9 inf + 1 153.957 * * [simplify]: Extracting #4: cost 8 inf + 2 153.957 * * [simplify]: Extracting #5: cost 1 inf + 810 153.957 * * [simplify]: Extracting #6: cost 0 inf + 972 153.957 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 153.957 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.958 * [simplify]: Simplifying (/ 1 (sqrt (cbrt k))) 153.958 * * [simplify]: iters left: 4 (5 enodes) 153.959 * * [simplify]: iters left: 3 (17 enodes) 153.962 * * [simplify]: iters left: 2 (19 enodes) 153.965 * * [simplify]: Extracting #0: cost 1 inf + 0 153.965 * * [simplify]: Extracting #1: cost 4 inf + 0 153.965 * * [simplify]: Extracting #2: cost 5 inf + 1 153.965 * * [simplify]: Extracting #3: cost 7 inf + 1 153.965 * * [simplify]: Extracting #4: cost 0 inf + 730 153.965 * [simplify]: Simplified to (/ 1 (sqrt (cbrt k))) 153.965 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.965 * * * * [progress]: [ 72 / 425 ] simplifiying candidate # 153.965 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 153.965 * * [simplify]: iters left: 4 (5 enodes) 153.967 * * [simplify]: iters left: 3 (17 enodes) 153.970 * * [simplify]: iters left: 2 (19 enodes) 153.976 * * [simplify]: Extracting #0: cost 1 inf + 0 153.976 * * [simplify]: Extracting #1: cost 4 inf + 0 153.976 * * [simplify]: Extracting #2: cost 5 inf + 1 153.976 * * [simplify]: Extracting #3: cost 7 inf + 1 153.976 * * [simplify]: Extracting #4: cost 0 inf + 490 153.976 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.976 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.977 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 153.977 * * [simplify]: iters left: 4 (5 enodes) 153.979 * * [simplify]: iters left: 3 (17 enodes) 153.982 * * [simplify]: iters left: 2 (19 enodes) 153.985 * * [simplify]: Extracting #0: cost 1 inf + 0 153.985 * * [simplify]: Extracting #1: cost 4 inf + 0 153.985 * * [simplify]: Extracting #2: cost 5 inf + 1 153.985 * * [simplify]: Extracting #3: cost 7 inf + 1 153.985 * * [simplify]: Extracting #4: cost 0 inf + 490 153.985 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 153.985 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.985 * * * * [progress]: [ 73 / 425 ] simplifiying candidate # 153.986 * [simplify]: Simplifying (/ 1 (sqrt 1)) 153.986 * * [simplify]: iters left: 3 (3 enodes) 153.989 * * [simplify]: iters left: 2 (11 enodes) 153.991 * * [simplify]: iters left: 1 (13 enodes) 153.992 * * [simplify]: Extracting #0: cost 1 inf + 0 153.993 * * [simplify]: Extracting #1: cost 0 inf + 1 153.993 * [simplify]: Simplified to 1 153.993 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.993 * [simplify]: Simplifying (/ 1 (sqrt k)) 153.993 * * [simplify]: iters left: 3 (4 enodes) 153.994 * * [simplify]: iters left: 2 (14 enodes) 153.996 * * [simplify]: iters left: 1 (16 enodes) 153.999 * * [simplify]: Extracting #0: cost 1 inf + 0 153.999 * * [simplify]: Extracting #1: cost 4 inf + 0 153.999 * * [simplify]: Extracting #2: cost 5 inf + 1 153.999 * * [simplify]: Extracting #3: cost 3 inf + 43 153.999 * * [simplify]: Extracting #4: cost 1 inf + 166 153.999 * * [simplify]: Extracting #5: cost 0 inf + 248 153.999 * [simplify]: Simplified to (/ 1 (sqrt k)) 153.999 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 153.999 * * * * [progress]: [ 74 / 425 ] simplifiying candidate # 153.999 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 153.999 * * [simplify]: iters left: 4 (5 enodes) 154.001 * * [simplify]: iters left: 3 (17 enodes) 154.003 * * [simplify]: iters left: 2 (19 enodes) 154.008 * * [simplify]: Extracting #0: cost 1 inf + 0 154.008 * * [simplify]: Extracting #1: cost 4 inf + 0 154.008 * * [simplify]: Extracting #2: cost 5 inf + 1 154.008 * * [simplify]: Extracting #3: cost 7 inf + 1 154.008 * * [simplify]: Extracting #4: cost 0 inf + 490 154.009 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 154.009 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.009 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 154.009 * * [simplify]: iters left: 4 (5 enodes) 154.011 * * [simplify]: iters left: 3 (17 enodes) 154.017 * * [simplify]: iters left: 2 (19 enodes) 154.022 * * [simplify]: Extracting #0: cost 1 inf + 0 154.022 * * [simplify]: Extracting #1: cost 4 inf + 0 154.023 * * [simplify]: Extracting #2: cost 5 inf + 1 154.023 * * [simplify]: Extracting #3: cost 7 inf + 1 154.023 * * [simplify]: Extracting #4: cost 0 inf + 490 154.023 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 154.023 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.023 * * * * [progress]: [ 75 / 425 ] simplifiying candidate # 154.024 * [simplify]: Simplifying (/ 1 1) 154.024 * * [simplify]: iters left: 2 (2 enodes) 154.025 * * [simplify]: iters left: 1 (6 enodes) 154.027 * * [simplify]: Extracting #0: cost 1 inf + 0 154.027 * * [simplify]: Extracting #1: cost 0 inf + 1 154.027 * [simplify]: Simplified to 1 154.027 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.028 * [simplify]: Simplifying (/ 1 (sqrt k)) 154.028 * * [simplify]: iters left: 3 (4 enodes) 154.030 * * [simplify]: iters left: 2 (14 enodes) 154.035 * * [simplify]: iters left: 1 (16 enodes) 154.040 * * [simplify]: Extracting #0: cost 1 inf + 0 154.040 * * [simplify]: Extracting #1: cost 4 inf + 0 154.040 * * [simplify]: Extracting #2: cost 5 inf + 1 154.040 * * [simplify]: Extracting #3: cost 3 inf + 43 154.041 * * [simplify]: Extracting #4: cost 1 inf + 166 154.041 * * [simplify]: Extracting #5: cost 0 inf + 248 154.041 * [simplify]: Simplified to (/ 1 (sqrt k)) 154.041 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.041 * * * * [progress]: [ 76 / 425 ] simplifiying candidate # 154.041 * * * * [progress]: [ 77 / 425 ] simplifiying candidate # 154.041 * * * * [progress]: [ 78 / 425 ] simplifiying candidate # 154.041 * * * * [progress]: [ 79 / 425 ] simplifiying candidate # 154.042 * [simplify]: Simplifying (cbrt (sqrt k)) 154.042 * * [simplify]: iters left: 2 (3 enodes) 154.043 * * [simplify]: iters left: 1 (9 enodes) 154.045 * * [simplify]: Extracting #0: cost 1 inf + 0 154.045 * * [simplify]: Extracting #1: cost 3 inf + 0 154.045 * * [simplify]: Extracting #2: cost 5 inf + 0 154.045 * * [simplify]: Extracting #3: cost 4 inf + 1 154.046 * * [simplify]: Extracting #4: cost 0 inf + 325 154.046 * [simplify]: Simplified to (cbrt (sqrt k)) 154.046 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.046 * * * * [progress]: [ 80 / 425 ] simplifiying candidate # 154.046 * [simplify]: Simplifying (sqrt (cbrt k)) 154.046 * * [simplify]: iters left: 2 (3 enodes) 154.048 * * [simplify]: iters left: 1 (9 enodes) 154.050 * * [simplify]: Extracting #0: cost 1 inf + 0 154.050 * * [simplify]: Extracting #1: cost 3 inf + 0 154.050 * * [simplify]: Extracting #2: cost 5 inf + 0 154.050 * * [simplify]: Extracting #3: cost 4 inf + 1 154.050 * * [simplify]: Extracting #4: cost 0 inf + 405 154.050 * [simplify]: Simplified to (sqrt (cbrt k)) 154.050 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.051 * * * * [progress]: [ 81 / 425 ] simplifiying candidate # 154.051 * [simplify]: Simplifying (sqrt (sqrt k)) 154.051 * * [simplify]: iters left: 2 (3 enodes) 154.052 * * [simplify]: iters left: 1 (9 enodes) 154.055 * * [simplify]: Extracting #0: cost 1 inf + 0 154.055 * * [simplify]: Extracting #1: cost 3 inf + 0 154.055 * * [simplify]: Extracting #2: cost 5 inf + 0 154.055 * * [simplify]: Extracting #3: cost 4 inf + 1 154.055 * * [simplify]: Extracting #4: cost 0 inf + 245 154.055 * [simplify]: Simplified to (sqrt (sqrt k)) 154.055 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.055 * * * * [progress]: [ 82 / 425 ] simplifiying candidate # 154.056 * [simplify]: Simplifying (sqrt k) 154.056 * * [simplify]: iters left: 1 (2 enodes) 154.057 * * [simplify]: Extracting #0: cost 1 inf + 0 154.057 * * [simplify]: Extracting #1: cost 3 inf + 0 154.057 * * [simplify]: Extracting #2: cost 2 inf + 1 154.057 * * [simplify]: Extracting #3: cost 0 inf + 83 154.057 * [simplify]: Simplified to (sqrt k) 154.057 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.057 * * * * [progress]: [ 83 / 425 ] simplifiying candidate # 154.057 * [simplify]: Simplifying (sqrt (sqrt k)) 154.057 * * [simplify]: iters left: 2 (3 enodes) 154.058 * * [simplify]: iters left: 1 (9 enodes) 154.061 * * [simplify]: Extracting #0: cost 1 inf + 0 154.061 * * [simplify]: Extracting #1: cost 3 inf + 0 154.061 * * [simplify]: Extracting #2: cost 5 inf + 0 154.061 * * [simplify]: Extracting #3: cost 4 inf + 1 154.061 * * [simplify]: Extracting #4: cost 0 inf + 245 154.061 * [simplify]: Simplified to (sqrt (sqrt k)) 154.061 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.061 * * * * [progress]: [ 84 / 425 ] simplifiying candidate # 154.062 * [simplify]: Simplifying (sqrt k) 154.062 * * [simplify]: iters left: 1 (2 enodes) 154.063 * * [simplify]: Extracting #0: cost 1 inf + 0 154.063 * * [simplify]: Extracting #1: cost 3 inf + 0 154.063 * * [simplify]: Extracting #2: cost 2 inf + 1 154.063 * * [simplify]: Extracting #3: cost 0 inf + 83 154.063 * [simplify]: Simplified to (sqrt k) 154.063 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.063 * * * * [progress]: [ 85 / 425 ] simplifiying candidate # 154.063 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 154.063 * * [simplify]: iters left: 3 (3 enodes) 154.068 * * [simplify]: iters left: 2 (11 enodes) 154.070 * * [simplify]: iters left: 1 (13 enodes) 154.072 * * [simplify]: Extracting #0: cost 1 inf + 0 154.072 * * [simplify]: Extracting #1: cost 0 inf + 1 154.072 * [simplify]: Simplified to 1 154.072 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (cbrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.072 * * * * [progress]: [ 86 / 425 ] simplifiying candidate # 154.072 * [simplify]: Simplifying (sqrt 1) 154.072 * * [simplify]: iters left: 1 (2 enodes) 154.074 * * [simplify]: Extracting #0: cost 1 inf + 0 154.074 * * [simplify]: Extracting #1: cost 0 inf + 1 154.074 * [simplify]: Simplified to 1 154.074 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (* (* (/ 1 (/ (sqrt k) (sqrt 1))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 154.074 * * * * [progress]: [ 87 / 425 ] simplifiying candidate # 154.074 * * * * [progress]: [ 88 / 425 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))> 154.074 * * * * [progress]: [ 89 / 425 ] simplifiying candidate # 154.074 * * * * [progress]: [ 90 / 425 ] simplifiying candidate # 154.074 * * * * [progress]: [ 91 / 425 ] simplifiying candidate # 154.074 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 154.075 * * [simplify]: iters left: 6 (16 enodes) 154.079 * * [simplify]: iters left: 5 (74 enodes) 154.098 * * [simplify]: iters left: 4 (161 enodes) 154.196 * * [simplify]: Extracting #0: cost 1 inf + 0 154.196 * * [simplify]: Extracting #1: cost 44 inf + 0 154.196 * * [simplify]: Extracting #2: cost 132 inf + 1 154.197 * * [simplify]: Extracting #3: cost 151 inf + 331 154.199 * * [simplify]: Extracting #4: cost 139 inf + 1288 154.202 * * [simplify]: Extracting #5: cost 91 inf + 16714 154.219 * * [simplify]: Extracting #6: cost 15 inf + 66409 154.239 * * [simplify]: Extracting #7: cost 0 inf + 78333 154.259 * * [simplify]: Extracting #8: cost 0 inf + 77999 154.276 * * [simplify]: Extracting #9: cost 0 inf + 77998 154.286 * [simplify]: Simplified to (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) 154.286 * [simplify]: Simplified (2 1) to (λ (k n) (pow (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) 1)) 154.286 * * * * [progress]: [ 92 / 425 ] simplifiying candidate # 154.286 * * * * [progress]: [ 93 / 425 ] simplifiying candidate # 154.286 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 154.287 * * [simplify]: iters left: 6 (20 enodes) 154.292 * * [simplify]: iters left: 5 (86 enodes) 154.307 * * [simplify]: iters left: 4 (159 enodes) 154.344 * * [simplify]: iters left: 3 (380 enodes) 154.513 * * [simplify]: Extracting #0: cost 1 inf + 0 154.513 * * [simplify]: Extracting #1: cost 64 inf + 0 154.515 * * [simplify]: Extracting #2: cost 275 inf + 0 154.517 * * [simplify]: Extracting #3: cost 288 inf + 981 154.525 * * [simplify]: Extracting #4: cost 213 inf + 18660 154.556 * * [simplify]: Extracting #5: cost 44 inf + 83468 154.577 * * [simplify]: Extracting #6: cost 0 inf + 104057 154.615 * * [simplify]: Extracting #7: cost 0 inf + 103995 154.659 * [simplify]: Simplified to (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2))) (log (sqrt k)))) 154.659 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2))) (log (sqrt k)))))) 154.659 * * * * [progress]: [ 94 / 425 ] simplifiying candidate # 154.659 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 154.660 * * [simplify]: iters left: 6 (20 enodes) 154.671 * * [simplify]: iters left: 5 (86 enodes) 154.700 * * [simplify]: iters left: 4 (159 enodes) 154.773 * * [simplify]: iters left: 3 (380 enodes) 154.926 * * [simplify]: Extracting #0: cost 1 inf + 0 154.926 * * [simplify]: Extracting #1: cost 64 inf + 0 154.927 * * [simplify]: Extracting #2: cost 275 inf + 0 154.928 * * [simplify]: Extracting #3: cost 288 inf + 981 154.935 * * [simplify]: Extracting #4: cost 213 inf + 18660 154.964 * * [simplify]: Extracting #5: cost 44 inf + 83468 155.007 * * [simplify]: Extracting #6: cost 0 inf + 104057 155.052 * * [simplify]: Extracting #7: cost 0 inf + 103995 155.097 * [simplify]: Simplified to (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2))) (log (sqrt k)))) 155.097 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (+ (log 2) (log PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (+ (log 2) (log PI)) 2))) (log (sqrt k)))))) 155.097 * * * * [progress]: [ 95 / 425 ] simplifiying candidate # 155.098 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 155.098 * * [simplify]: iters left: 6 (20 enodes) 155.110 * * [simplify]: iters left: 5 (87 enodes) 155.139 * * [simplify]: iters left: 4 (161 enodes) 155.212 * * [simplify]: iters left: 3 (422 enodes) 155.416 * * [simplify]: Extracting #0: cost 1 inf + 0 155.417 * * [simplify]: Extracting #1: cost 73 inf + 0 155.418 * * [simplify]: Extracting #2: cost 343 inf + 0 155.419 * * [simplify]: Extracting #3: cost 389 inf + 372 155.432 * * [simplify]: Extracting #4: cost 262 inf + 37460 155.462 * * [simplify]: Extracting #5: cost 26 inf + 132159 155.514 * * [simplify]: Extracting #6: cost 1 inf + 144846 155.552 * * [simplify]: Extracting #7: cost 0 inf + 145086 155.587 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k)))) 155.587 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k)))))) 155.588 * * * * [progress]: [ 96 / 425 ] simplifiying candidate # 155.588 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 155.588 * * [simplify]: iters left: 6 (23 enodes) 155.595 * * [simplify]: iters left: 5 (95 enodes) 155.627 * * [simplify]: iters left: 4 (167 enodes) 155.672 * * [simplify]: iters left: 3 (384 enodes) 155.841 * * [simplify]: Extracting #0: cost 1 inf + 0 155.841 * * [simplify]: Extracting #1: cost 59 inf + 0 155.842 * * [simplify]: Extracting #2: cost 269 inf + 0 155.844 * * [simplify]: Extracting #3: cost 282 inf + 1720 155.848 * * [simplify]: Extracting #4: cost 207 inf + 22030 155.863 * * [simplify]: Extracting #5: cost 49 inf + 82342 155.905 * * [simplify]: Extracting #6: cost 0 inf + 104644 155.942 * * [simplify]: Extracting #7: cost 0 inf + 103263 155.964 * * [simplify]: Extracting #8: cost 0 inf + 102926 155.984 * * [simplify]: Extracting #9: cost 0 inf + 102862 156.023 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 156.023 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 156.023 * * * * [progress]: [ 97 / 425 ] simplifiying candidate # 156.024 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 156.024 * * [simplify]: iters left: 6 (23 enodes) 156.039 * * [simplify]: iters left: 5 (95 enodes) 156.071 * * [simplify]: iters left: 4 (167 enodes) 156.140 * * [simplify]: iters left: 3 (384 enodes) 156.298 * * [simplify]: Extracting #0: cost 1 inf + 0 156.298 * * [simplify]: Extracting #1: cost 59 inf + 0 156.300 * * [simplify]: Extracting #2: cost 269 inf + 0 156.303 * * [simplify]: Extracting #3: cost 282 inf + 1720 156.312 * * [simplify]: Extracting #4: cost 207 inf + 22030 156.343 * * [simplify]: Extracting #5: cost 49 inf + 82342 156.388 * * [simplify]: Extracting #6: cost 0 inf + 104644 156.412 * * [simplify]: Extracting #7: cost 0 inf + 103263 156.433 * * [simplify]: Extracting #8: cost 0 inf + 102926 156.475 * * [simplify]: Extracting #9: cost 0 inf + 102862 156.507 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 156.508 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 156.508 * * * * [progress]: [ 98 / 425 ] simplifiying candidate # 156.508 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 156.508 * * [simplify]: iters left: 6 (23 enodes) 156.514 * * [simplify]: iters left: 5 (96 enodes) 156.531 * * [simplify]: iters left: 4 (169 enodes) 156.567 * * [simplify]: iters left: 3 (425 enodes) 156.778 * * [simplify]: Extracting #0: cost 1 inf + 0 156.779 * * [simplify]: Extracting #1: cost 68 inf + 0 156.781 * * [simplify]: Extracting #2: cost 334 inf + 0 156.784 * * [simplify]: Extracting #3: cost 386 inf + 595 156.792 * * [simplify]: Extracting #4: cost 305 inf + 18034 156.829 * * [simplify]: Extracting #5: cost 66 inf + 110267 156.856 * * [simplify]: Extracting #6: cost 1 inf + 139059 156.908 * * [simplify]: Extracting #7: cost 0 inf + 139275 156.936 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 156.936 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 156.936 * * * * [progress]: [ 99 / 425 ] simplifiying candidate # 156.936 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 156.937 * * [simplify]: iters left: 6 (23 enodes) 156.945 * * [simplify]: iters left: 5 (95 enodes) 156.965 * * [simplify]: iters left: 4 (167 enodes) 157.008 * * [simplify]: iters left: 3 (384 enodes) 157.157 * * [simplify]: Extracting #0: cost 1 inf + 0 157.157 * * [simplify]: Extracting #1: cost 59 inf + 0 157.163 * * [simplify]: Extracting #2: cost 269 inf + 0 157.166 * * [simplify]: Extracting #3: cost 282 inf + 1720 157.171 * * [simplify]: Extracting #4: cost 207 inf + 22030 157.187 * * [simplify]: Extracting #5: cost 49 inf + 82342 157.208 * * [simplify]: Extracting #6: cost 0 inf + 104644 157.232 * * [simplify]: Extracting #7: cost 0 inf + 103263 157.276 * * [simplify]: Extracting #8: cost 0 inf + 102926 157.304 * * [simplify]: Extracting #9: cost 0 inf + 102862 157.333 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 157.333 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 157.333 * * * * [progress]: [ 100 / 425 ] simplifiying candidate # 157.333 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 157.334 * * [simplify]: iters left: 6 (23 enodes) 157.346 * * [simplify]: iters left: 5 (95 enodes) 157.369 * * [simplify]: iters left: 4 (167 enodes) 157.428 * * [simplify]: iters left: 3 (384 enodes) 157.605 * * [simplify]: Extracting #0: cost 1 inf + 0 157.605 * * [simplify]: Extracting #1: cost 59 inf + 0 157.607 * * [simplify]: Extracting #2: cost 269 inf + 0 157.609 * * [simplify]: Extracting #3: cost 282 inf + 1720 157.613 * * [simplify]: Extracting #4: cost 207 inf + 22030 157.628 * * [simplify]: Extracting #5: cost 49 inf + 82342 157.665 * * [simplify]: Extracting #6: cost 0 inf + 104644 157.697 * * [simplify]: Extracting #7: cost 0 inf + 103263 157.724 * * [simplify]: Extracting #8: cost 0 inf + 102926 157.766 * * [simplify]: Extracting #9: cost 0 inf + 102862 157.800 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 157.800 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 157.801 * * * * [progress]: [ 101 / 425 ] simplifiying candidate # 157.801 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 157.801 * * [simplify]: iters left: 6 (23 enodes) 157.808 * * [simplify]: iters left: 5 (96 enodes) 157.829 * * [simplify]: iters left: 4 (169 enodes) 157.876 * * [simplify]: iters left: 3 (425 enodes) 158.109 * * [simplify]: Extracting #0: cost 1 inf + 0 158.110 * * [simplify]: Extracting #1: cost 68 inf + 0 158.112 * * [simplify]: Extracting #2: cost 334 inf + 0 158.115 * * [simplify]: Extracting #3: cost 386 inf + 595 158.122 * * [simplify]: Extracting #4: cost 305 inf + 18034 158.149 * * [simplify]: Extracting #5: cost 66 inf + 110267 158.196 * * [simplify]: Extracting #6: cost 1 inf + 139059 158.251 * * [simplify]: Extracting #7: cost 0 inf + 139275 158.295 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))) 158.295 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) (log (sqrt k))))) 158.295 * * * * [progress]: [ 102 / 425 ] simplifiying candidate # 158.295 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 158.296 * * [simplify]: iters left: 6 (23 enodes) 158.302 * * [simplify]: iters left: 5 (100 enodes) 158.322 * * [simplify]: iters left: 4 (194 enodes) 158.380 * * [simplify]: iters left: 3 (469 enodes) 158.591 * * [simplify]: Extracting #0: cost 1 inf + 0 158.591 * * [simplify]: Extracting #1: cost 72 inf + 0 158.592 * * [simplify]: Extracting #2: cost 344 inf + 0 158.594 * * [simplify]: Extracting #3: cost 384 inf + 2438 158.601 * * [simplify]: Extracting #4: cost 259 inf + 42396 158.630 * * [simplify]: Extracting #5: cost 26 inf + 138333 158.665 * * [simplify]: Extracting #6: cost 6 inf + 143508 158.724 * * [simplify]: Extracting #7: cost 0 inf + 146104 158.786 * * [simplify]: Extracting #8: cost 0 inf + 146063 158.845 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 158.846 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 158.846 * * * * [progress]: [ 103 / 425 ] simplifiying candidate # 158.846 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 158.847 * * [simplify]: iters left: 6 (23 enodes) 158.860 * * [simplify]: iters left: 5 (100 enodes) 158.896 * * [simplify]: iters left: 4 (194 enodes) 158.957 * * [simplify]: iters left: 3 (469 enodes) 159.192 * * [simplify]: Extracting #0: cost 1 inf + 0 159.193 * * [simplify]: Extracting #1: cost 72 inf + 0 159.194 * * [simplify]: Extracting #2: cost 344 inf + 0 159.195 * * [simplify]: Extracting #3: cost 384 inf + 2438 159.206 * * [simplify]: Extracting #4: cost 259 inf + 42396 159.256 * * [simplify]: Extracting #5: cost 26 inf + 138333 159.295 * * [simplify]: Extracting #6: cost 6 inf + 143508 159.355 * * [simplify]: Extracting #7: cost 0 inf + 146104 159.387 * * [simplify]: Extracting #8: cost 0 inf + 146063 159.444 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 159.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 159.444 * * * * [progress]: [ 104 / 425 ] simplifiying candidate # 159.445 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 159.445 * * [simplify]: iters left: 6 (23 enodes) 159.458 * * [simplify]: iters left: 5 (101 enodes) 159.480 * * [simplify]: iters left: 4 (194 enodes) 159.572 * * [simplify]: iters left: 3 (496 enodes) 159.806 * * [simplify]: Extracting #0: cost 1 inf + 0 159.806 * * [simplify]: Extracting #1: cost 76 inf + 0 159.812 * * [simplify]: Extracting #2: cost 418 inf + 0 159.815 * * [simplify]: Extracting #3: cost 483 inf + 1043 159.821 * * [simplify]: Extracting #4: cost 380 inf + 29817 159.860 * * [simplify]: Extracting #5: cost 70 inf + 155099 159.930 * * [simplify]: Extracting #6: cost 6 inf + 180602 159.974 * * [simplify]: Extracting #7: cost 0 inf + 182955 160.042 * * [simplify]: Extracting #8: cost 0 inf + 182909 160.113 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))) 160.114 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n))) (* (/ (- 1 k) 4) (+ (log (* PI 2)) (log n)))) (log (sqrt k))))) 160.114 * * * * [progress]: [ 105 / 425 ] simplifiying candidate # 160.114 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 160.114 * * [simplify]: iters left: 6 (22 enodes) 160.128 * * [simplify]: iters left: 5 (95 enodes) 160.158 * * [simplify]: iters left: 4 (189 enodes) 160.217 * * [simplify]: Extracting #0: cost 1 inf + 0 160.217 * * [simplify]: Extracting #1: cost 23 inf + 0 160.218 * * [simplify]: Extracting #2: cost 98 inf + 0 160.218 * * [simplify]: Extracting #3: cost 145 inf + 74 160.220 * * [simplify]: Extracting #4: cost 159 inf + 889 160.227 * * [simplify]: Extracting #5: cost 73 inf + 25306 160.242 * * [simplify]: Extracting #6: cost 7 inf + 52622 160.260 * * [simplify]: Extracting #7: cost 1 inf + 54654 160.278 * * [simplify]: Extracting #8: cost 0 inf + 55028 160.294 * [simplify]: Simplified to (+ (+ (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 160.294 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (- (* (- 1/4 (/ k 4)) (log (* PI 2))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (log (* PI 2)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 160.294 * * * * [progress]: [ 106 / 425 ] simplifiying candidate # 160.294 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 160.294 * * [simplify]: iters left: 6 (23 enodes) 160.301 * * [simplify]: iters left: 5 (92 enodes) 160.318 * * [simplify]: iters left: 4 (162 enodes) 160.353 * * [simplify]: iters left: 3 (382 enodes) 160.483 * * [simplify]: Extracting #0: cost 1 inf + 0 160.483 * * [simplify]: Extracting #1: cost 66 inf + 0 160.484 * * [simplify]: Extracting #2: cost 274 inf + 0 160.486 * * [simplify]: Extracting #3: cost 283 inf + 1931 160.494 * * [simplify]: Extracting #4: cost 222 inf + 16456 160.514 * * [simplify]: Extracting #5: cost 45 inf + 84007 160.536 * * [simplify]: Extracting #6: cost 0 inf + 105066 160.585 * * [simplify]: Extracting #7: cost 0 inf + 104984 160.610 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 160.610 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 160.610 * * * * [progress]: [ 107 / 425 ] simplifiying candidate # 160.610 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 160.610 * * [simplify]: iters left: 6 (23 enodes) 160.617 * * [simplify]: iters left: 5 (92 enodes) 160.634 * * [simplify]: iters left: 4 (162 enodes) 160.685 * * [simplify]: iters left: 3 (382 enodes) 160.850 * * [simplify]: Extracting #0: cost 1 inf + 0 160.850 * * [simplify]: Extracting #1: cost 66 inf + 0 160.851 * * [simplify]: Extracting #2: cost 274 inf + 0 160.852 * * [simplify]: Extracting #3: cost 283 inf + 1931 160.857 * * [simplify]: Extracting #4: cost 222 inf + 16456 160.880 * * [simplify]: Extracting #5: cost 45 inf + 84007 160.908 * * [simplify]: Extracting #6: cost 0 inf + 105066 160.931 * * [simplify]: Extracting #7: cost 0 inf + 104984 160.963 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 160.964 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 160.964 * * * * [progress]: [ 108 / 425 ] simplifiying candidate # 160.964 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 160.964 * * [simplify]: iters left: 6 (23 enodes) 160.970 * * [simplify]: iters left: 5 (93 enodes) 160.987 * * [simplify]: iters left: 4 (164 enodes) 161.046 * * [simplify]: iters left: 3 (420 enodes) 161.229 * * [simplify]: Extracting #0: cost 1 inf + 0 161.229 * * [simplify]: Extracting #1: cost 69 inf + 0 161.230 * * [simplify]: Extracting #2: cost 329 inf + 0 161.232 * * [simplify]: Extracting #3: cost 375 inf + 525 161.236 * * [simplify]: Extracting #4: cost 276 inf + 26028 161.278 * * [simplify]: Extracting #5: cost 34 inf + 120731 161.331 * * [simplify]: Extracting #6: cost 1 inf + 131545 161.368 * * [simplify]: Extracting #7: cost 0 inf + 131469 161.395 * * [simplify]: Extracting #8: cost 0 inf + 131454 161.437 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 161.437 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 161.437 * * * * [progress]: [ 109 / 425 ] simplifiying candidate # 161.438 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 161.438 * * [simplify]: iters left: 6 (19 enodes) 161.444 * * [simplify]: iters left: 5 (86 enodes) 161.460 * * [simplify]: iters left: 4 (162 enodes) 161.492 * * [simplify]: iters left: 3 (331 enodes) 161.605 * * [simplify]: Extracting #0: cost 1 inf + 0 161.605 * * [simplify]: Extracting #1: cost 49 inf + 0 161.606 * * [simplify]: Extracting #2: cost 205 inf + 0 161.609 * * [simplify]: Extracting #3: cost 222 inf + 1175 161.614 * * [simplify]: Extracting #4: cost 165 inf + 12176 161.637 * * [simplify]: Extracting #5: cost 53 inf + 48018 161.667 * * [simplify]: Extracting #6: cost 0 inf + 73449 161.683 * * [simplify]: Extracting #7: cost 0 inf + 73352 161.699 * * [simplify]: Extracting #8: cost 0 inf + 73335 161.715 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 161.715 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 161.715 * * * * [progress]: [ 110 / 425 ] simplifiying candidate # 161.716 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 161.716 * * [simplify]: iters left: 6 (19 enodes) 161.721 * * [simplify]: iters left: 5 (86 enodes) 161.738 * * [simplify]: iters left: 4 (162 enodes) 161.793 * * [simplify]: iters left: 3 (331 enodes) 161.909 * * [simplify]: Extracting #0: cost 1 inf + 0 161.909 * * [simplify]: Extracting #1: cost 49 inf + 0 161.910 * * [simplify]: Extracting #2: cost 205 inf + 0 161.911 * * [simplify]: Extracting #3: cost 222 inf + 1175 161.913 * * [simplify]: Extracting #4: cost 165 inf + 12176 161.923 * * [simplify]: Extracting #5: cost 53 inf + 48018 161.956 * * [simplify]: Extracting #6: cost 0 inf + 73449 161.986 * * [simplify]: Extracting #7: cost 0 inf + 73352 162.002 * * [simplify]: Extracting #8: cost 0 inf + 73335 162.023 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 162.023 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 162.024 * * * * [progress]: [ 111 / 425 ] simplifiying candidate # 162.024 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 162.024 * * [simplify]: iters left: 6 (19 enodes) 162.035 * * [simplify]: iters left: 5 (87 enodes) 162.055 * * [simplify]: iters left: 4 (164 enodes) 162.113 * * [simplify]: iters left: 3 (373 enodes) 162.259 * * [simplify]: Extracting #0: cost 1 inf + 0 162.259 * * [simplify]: Extracting #1: cost 59 inf + 0 162.260 * * [simplify]: Extracting #2: cost 257 inf + 0 162.261 * * [simplify]: Extracting #3: cost 310 inf + 260 162.263 * * [simplify]: Extracting #4: cost 273 inf + 6112 162.269 * * [simplify]: Extracting #5: cost 140 inf + 41680 162.286 * * [simplify]: Extracting #6: cost 14 inf + 96894 162.321 * * [simplify]: Extracting #7: cost 0 inf + 104276 162.343 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 162.343 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 162.344 * * * * [progress]: [ 112 / 425 ] simplifiying candidate # 162.344 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 162.344 * * [simplify]: iters left: 6 (19 enodes) 162.349 * * [simplify]: iters left: 5 (86 enodes) 162.376 * * [simplify]: iters left: 4 (162 enodes) 162.408 * * [simplify]: iters left: 3 (331 enodes) 162.493 * * [simplify]: Extracting #0: cost 1 inf + 0 162.493 * * [simplify]: Extracting #1: cost 49 inf + 0 162.495 * * [simplify]: Extracting #2: cost 205 inf + 0 162.496 * * [simplify]: Extracting #3: cost 222 inf + 1175 162.502 * * [simplify]: Extracting #4: cost 165 inf + 12176 162.521 * * [simplify]: Extracting #5: cost 53 inf + 48018 162.539 * * [simplify]: Extracting #6: cost 0 inf + 73449 162.555 * * [simplify]: Extracting #7: cost 0 inf + 73352 162.586 * * [simplify]: Extracting #8: cost 0 inf + 73335 162.619 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 162.619 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 162.619 * * * * [progress]: [ 113 / 425 ] simplifiying candidate # 162.619 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 162.620 * * [simplify]: iters left: 6 (19 enodes) 162.632 * * [simplify]: iters left: 5 (86 enodes) 162.654 * * [simplify]: iters left: 4 (162 enodes) 162.688 * * [simplify]: iters left: 3 (331 enodes) 162.816 * * [simplify]: Extracting #0: cost 1 inf + 0 162.816 * * [simplify]: Extracting #1: cost 49 inf + 0 162.818 * * [simplify]: Extracting #2: cost 205 inf + 0 162.824 * * [simplify]: Extracting #3: cost 222 inf + 1175 162.829 * * [simplify]: Extracting #4: cost 165 inf + 12176 162.848 * * [simplify]: Extracting #5: cost 53 inf + 48018 162.879 * * [simplify]: Extracting #6: cost 0 inf + 73449 162.910 * * [simplify]: Extracting #7: cost 0 inf + 73352 162.942 * * [simplify]: Extracting #8: cost 0 inf + 73335 162.974 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 162.974 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 162.974 * * * * [progress]: [ 114 / 425 ] simplifiying candidate # 162.974 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 162.976 * * [simplify]: iters left: 6 (19 enodes) 162.987 * * [simplify]: iters left: 5 (87 enodes) 163.016 * * [simplify]: iters left: 4 (164 enodes) 163.080 * * [simplify]: iters left: 3 (373 enodes) 163.192 * * [simplify]: Extracting #0: cost 1 inf + 0 163.193 * * [simplify]: Extracting #1: cost 59 inf + 0 163.194 * * [simplify]: Extracting #2: cost 257 inf + 0 163.196 * * [simplify]: Extracting #3: cost 310 inf + 260 163.200 * * [simplify]: Extracting #4: cost 273 inf + 6112 163.213 * * [simplify]: Extracting #5: cost 140 inf + 41680 163.247 * * [simplify]: Extracting #6: cost 14 inf + 96894 163.270 * * [simplify]: Extracting #7: cost 0 inf + 104276 163.301 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 163.301 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 163.301 * * * * [progress]: [ 115 / 425 ] simplifiying candidate # 163.301 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 163.301 * * [simplify]: iters left: 6 (21 enodes) 163.307 * * [simplify]: iters left: 5 (94 enodes) 163.324 * * [simplify]: iters left: 4 (192 enodes) 163.402 * * [simplify]: iters left: 3 (432 enodes) 163.565 * * [simplify]: Extracting #0: cost 1 inf + 0 163.565 * * [simplify]: Extracting #1: cost 65 inf + 0 163.566 * * [simplify]: Extracting #2: cost 298 inf + 0 163.568 * * [simplify]: Extracting #3: cost 360 inf + 868 163.571 * * [simplify]: Extracting #4: cost 266 inf + 17711 163.585 * * [simplify]: Extracting #5: cost 95 inf + 75947 163.625 * * [simplify]: Extracting #6: cost 4 inf + 123707 163.678 * * [simplify]: Extracting #7: cost 0 inf + 125704 163.704 * * [simplify]: Extracting #8: cost 0 inf + 125703 163.733 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 163.733 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 163.733 * * * * [progress]: [ 116 / 425 ] simplifiying candidate # 163.734 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 163.734 * * [simplify]: iters left: 6 (21 enodes) 163.747 * * [simplify]: iters left: 5 (94 enodes) 163.768 * * [simplify]: iters left: 4 (192 enodes) 163.833 * * [simplify]: iters left: 3 (432 enodes) 163.995 * * [simplify]: Extracting #0: cost 1 inf + 0 163.995 * * [simplify]: Extracting #1: cost 65 inf + 0 163.996 * * [simplify]: Extracting #2: cost 298 inf + 0 163.998 * * [simplify]: Extracting #3: cost 360 inf + 868 164.001 * * [simplify]: Extracting #4: cost 266 inf + 17711 164.019 * * [simplify]: Extracting #5: cost 95 inf + 75947 164.051 * * [simplify]: Extracting #6: cost 4 inf + 123707 164.097 * * [simplify]: Extracting #7: cost 0 inf + 125704 164.124 * * [simplify]: Extracting #8: cost 0 inf + 125703 164.172 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 164.172 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 164.172 * * * * [progress]: [ 117 / 425 ] simplifiying candidate # 164.173 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 164.173 * * [simplify]: iters left: 6 (21 enodes) 164.185 * * [simplify]: iters left: 5 (95 enodes) 164.217 * * [simplify]: iters left: 4 (193 enodes) 164.278 * * [simplify]: iters left: 3 (458 enodes) 164.496 * * [simplify]: Extracting #0: cost 1 inf + 0 164.496 * * [simplify]: Extracting #1: cost 75 inf + 0 164.497 * * [simplify]: Extracting #2: cost 362 inf + 0 164.499 * * [simplify]: Extracting #3: cost 439 inf + 149 164.504 * * [simplify]: Extracting #4: cost 329 inf + 25208 164.530 * * [simplify]: Extracting #5: cost 48 inf + 136516 164.595 * * [simplify]: Extracting #6: cost 0 inf + 161077 164.638 * * [simplify]: Extracting #7: cost 0 inf + 161022 164.684 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 164.685 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 164.685 * * * * [progress]: [ 118 / 425 ] simplifiying candidate # 164.686 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 164.687 * * [simplify]: iters left: 6 (20 enodes) 164.698 * * [simplify]: iters left: 5 (91 enodes) 164.729 * * [simplify]: iters left: 4 (189 enodes) 164.781 * * [simplify]: iters left: 3 (491 enodes) 165.046 * * [simplify]: Extracting #0: cost 1 inf + 0 165.046 * * [simplify]: Extracting #1: cost 69 inf + 0 165.047 * * [simplify]: Extracting #2: cost 336 inf + 0 165.049 * * [simplify]: Extracting #3: cost 436 inf + 78 165.053 * * [simplify]: Extracting #4: cost 383 inf + 26091 165.074 * * [simplify]: Extracting #5: cost 110 inf + 136958 165.117 * * [simplify]: Extracting #6: cost 21 inf + 187245 165.184 * * [simplify]: Extracting #7: cost 0 inf + 201248 165.233 * * [simplify]: Extracting #8: cost 0 inf + 201198 165.278 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 165.278 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 165.279 * * * * [progress]: [ 119 / 425 ] simplifiying candidate # 165.279 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 165.279 * * [simplify]: iters left: 6 (23 enodes) 165.292 * * [simplify]: iters left: 5 (92 enodes) 165.322 * * [simplify]: iters left: 4 (162 enodes) 165.373 * * [simplify]: iters left: 3 (382 enodes) 165.525 * * [simplify]: Extracting #0: cost 1 inf + 0 165.526 * * [simplify]: Extracting #1: cost 66 inf + 0 165.527 * * [simplify]: Extracting #2: cost 274 inf + 0 165.530 * * [simplify]: Extracting #3: cost 283 inf + 1931 165.538 * * [simplify]: Extracting #4: cost 222 inf + 16456 165.569 * * [simplify]: Extracting #5: cost 45 inf + 84007 165.613 * * [simplify]: Extracting #6: cost 0 inf + 105066 165.661 * * [simplify]: Extracting #7: cost 0 inf + 104984 165.706 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 165.706 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 165.706 * * * * [progress]: [ 120 / 425 ] simplifiying candidate # 165.706 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 165.707 * * [simplify]: iters left: 6 (23 enodes) 165.720 * * [simplify]: iters left: 5 (92 enodes) 165.740 * * [simplify]: iters left: 4 (162 enodes) 165.785 * * [simplify]: iters left: 3 (382 enodes) 165.933 * * [simplify]: Extracting #0: cost 1 inf + 0 165.933 * * [simplify]: Extracting #1: cost 66 inf + 0 165.934 * * [simplify]: Extracting #2: cost 274 inf + 0 165.936 * * [simplify]: Extracting #3: cost 283 inf + 1931 165.947 * * [simplify]: Extracting #4: cost 222 inf + 16456 165.975 * * [simplify]: Extracting #5: cost 45 inf + 84007 165.996 * * [simplify]: Extracting #6: cost 0 inf + 105066 166.033 * * [simplify]: Extracting #7: cost 0 inf + 104984 166.058 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 166.058 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 166.058 * * * * [progress]: [ 121 / 425 ] simplifiying candidate # 166.058 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 166.059 * * [simplify]: iters left: 6 (23 enodes) 166.065 * * [simplify]: iters left: 5 (93 enodes) 166.092 * * [simplify]: iters left: 4 (164 enodes) 166.163 * * [simplify]: iters left: 3 (420 enodes) 166.342 * * [simplify]: Extracting #0: cost 1 inf + 0 166.342 * * [simplify]: Extracting #1: cost 69 inf + 0 166.347 * * [simplify]: Extracting #2: cost 329 inf + 0 166.349 * * [simplify]: Extracting #3: cost 375 inf + 525 166.354 * * [simplify]: Extracting #4: cost 276 inf + 26028 166.382 * * [simplify]: Extracting #5: cost 34 inf + 120731 166.434 * * [simplify]: Extracting #6: cost 1 inf + 131545 166.483 * * [simplify]: Extracting #7: cost 0 inf + 131469 166.509 * * [simplify]: Extracting #8: cost 0 inf + 131454 166.549 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 166.549 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 166.549 * * * * [progress]: [ 122 / 425 ] simplifiying candidate # 166.549 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 166.549 * * [simplify]: iters left: 6 (19 enodes) 166.555 * * [simplify]: iters left: 5 (86 enodes) 166.572 * * [simplify]: iters left: 4 (162 enodes) 166.602 * * [simplify]: iters left: 3 (331 enodes) 166.739 * * [simplify]: Extracting #0: cost 1 inf + 0 166.739 * * [simplify]: Extracting #1: cost 49 inf + 0 166.740 * * [simplify]: Extracting #2: cost 205 inf + 0 166.741 * * [simplify]: Extracting #3: cost 222 inf + 1175 166.744 * * [simplify]: Extracting #4: cost 165 inf + 12176 166.754 * * [simplify]: Extracting #5: cost 53 inf + 48018 166.780 * * [simplify]: Extracting #6: cost 0 inf + 73449 166.795 * * [simplify]: Extracting #7: cost 0 inf + 73352 166.822 * * [simplify]: Extracting #8: cost 0 inf + 73335 166.854 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 166.854 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 166.854 * * * * [progress]: [ 123 / 425 ] simplifiying candidate # 166.854 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 166.854 * * [simplify]: iters left: 6 (19 enodes) 166.864 * * [simplify]: iters left: 5 (86 enodes) 166.881 * * [simplify]: iters left: 4 (162 enodes) 166.937 * * [simplify]: iters left: 3 (331 enodes) 167.055 * * [simplify]: Extracting #0: cost 1 inf + 0 167.055 * * [simplify]: Extracting #1: cost 49 inf + 0 167.056 * * [simplify]: Extracting #2: cost 205 inf + 0 167.057 * * [simplify]: Extracting #3: cost 222 inf + 1175 167.060 * * [simplify]: Extracting #4: cost 165 inf + 12176 167.077 * * [simplify]: Extracting #5: cost 53 inf + 48018 167.097 * * [simplify]: Extracting #6: cost 0 inf + 73449 167.113 * * [simplify]: Extracting #7: cost 0 inf + 73352 167.133 * * [simplify]: Extracting #8: cost 0 inf + 73335 167.164 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 167.165 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 167.165 * * * * [progress]: [ 124 / 425 ] simplifiying candidate # 167.165 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 167.165 * * [simplify]: iters left: 6 (19 enodes) 167.176 * * [simplify]: iters left: 5 (87 enodes) 167.192 * * [simplify]: iters left: 4 (164 enodes) 167.230 * * [simplify]: iters left: 3 (373 enodes) 167.403 * * [simplify]: Extracting #0: cost 1 inf + 0 167.404 * * [simplify]: Extracting #1: cost 59 inf + 0 167.409 * * [simplify]: Extracting #2: cost 257 inf + 0 167.410 * * [simplify]: Extracting #3: cost 310 inf + 260 167.412 * * [simplify]: Extracting #4: cost 273 inf + 6112 167.418 * * [simplify]: Extracting #5: cost 140 inf + 41680 167.435 * * [simplify]: Extracting #6: cost 14 inf + 96894 167.467 * * [simplify]: Extracting #7: cost 0 inf + 104276 167.488 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 167.488 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 167.488 * * * * [progress]: [ 125 / 425 ] simplifiying candidate # 167.488 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 167.489 * * [simplify]: iters left: 6 (19 enodes) 167.496 * * [simplify]: iters left: 5 (86 enodes) 167.520 * * [simplify]: iters left: 4 (162 enodes) 167.556 * * [simplify]: iters left: 3 (331 enodes) 167.647 * * [simplify]: Extracting #0: cost 1 inf + 0 167.648 * * [simplify]: Extracting #1: cost 49 inf + 0 167.649 * * [simplify]: Extracting #2: cost 205 inf + 0 167.651 * * [simplify]: Extracting #3: cost 222 inf + 1175 167.656 * * [simplify]: Extracting #4: cost 165 inf + 12176 167.669 * * [simplify]: Extracting #5: cost 53 inf + 48018 167.684 * * [simplify]: Extracting #6: cost 0 inf + 73449 167.707 * * [simplify]: Extracting #7: cost 0 inf + 73352 167.723 * * [simplify]: Extracting #8: cost 0 inf + 73335 167.738 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 167.739 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 167.739 * * * * [progress]: [ 126 / 425 ] simplifiying candidate # 167.739 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 167.739 * * [simplify]: iters left: 6 (19 enodes) 167.746 * * [simplify]: iters left: 5 (86 enodes) 167.761 * * [simplify]: iters left: 4 (162 enodes) 167.793 * * [simplify]: iters left: 3 (331 enodes) 167.909 * * [simplify]: Extracting #0: cost 1 inf + 0 167.909 * * [simplify]: Extracting #1: cost 49 inf + 0 167.909 * * [simplify]: Extracting #2: cost 205 inf + 0 167.910 * * [simplify]: Extracting #3: cost 222 inf + 1175 167.913 * * [simplify]: Extracting #4: cost 165 inf + 12176 167.925 * * [simplify]: Extracting #5: cost 53 inf + 48018 167.953 * * [simplify]: Extracting #6: cost 0 inf + 73449 167.970 * * [simplify]: Extracting #7: cost 0 inf + 73352 167.985 * * [simplify]: Extracting #8: cost 0 inf + 73335 168.005 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 168.005 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (- 1/2 (/ k 2)) (- (* (- 1/2 (/ k 2)) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 168.005 * * * * [progress]: [ 127 / 425 ] simplifiying candidate # 168.006 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 168.006 * * [simplify]: iters left: 6 (19 enodes) 168.012 * * [simplify]: iters left: 5 (87 enodes) 168.029 * * [simplify]: iters left: 4 (164 enodes) 168.075 * * [simplify]: iters left: 3 (373 enodes) 168.185 * * [simplify]: Extracting #0: cost 1 inf + 0 168.185 * * [simplify]: Extracting #1: cost 59 inf + 0 168.186 * * [simplify]: Extracting #2: cost 257 inf + 0 168.187 * * [simplify]: Extracting #3: cost 310 inf + 260 168.189 * * [simplify]: Extracting #4: cost 273 inf + 6112 168.195 * * [simplify]: Extracting #5: cost 140 inf + 41680 168.213 * * [simplify]: Extracting #6: cost 14 inf + 96894 168.251 * * [simplify]: Extracting #7: cost 0 inf + 104276 168.296 * [simplify]: Simplified to (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 168.296 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 168.296 * * * * [progress]: [ 128 / 425 ] simplifiying candidate # 168.296 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 168.297 * * [simplify]: iters left: 6 (21 enodes) 168.308 * * [simplify]: iters left: 5 (94 enodes) 168.331 * * [simplify]: iters left: 4 (192 enodes) 168.386 * * [simplify]: iters left: 3 (432 enodes) 168.567 * * [simplify]: Extracting #0: cost 1 inf + 0 168.568 * * [simplify]: Extracting #1: cost 65 inf + 0 168.570 * * [simplify]: Extracting #2: cost 298 inf + 0 168.573 * * [simplify]: Extracting #3: cost 360 inf + 868 168.581 * * [simplify]: Extracting #4: cost 266 inf + 17711 168.608 * * [simplify]: Extracting #5: cost 95 inf + 75947 168.644 * * [simplify]: Extracting #6: cost 4 inf + 123707 168.679 * * [simplify]: Extracting #7: cost 0 inf + 125704 168.730 * * [simplify]: Extracting #8: cost 0 inf + 125703 168.755 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 168.755 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 168.755 * * * * [progress]: [ 129 / 425 ] simplifiying candidate # 168.756 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 168.756 * * [simplify]: iters left: 6 (21 enodes) 168.764 * * [simplify]: iters left: 5 (94 enodes) 168.785 * * [simplify]: iters left: 4 (192 enodes) 168.844 * * [simplify]: iters left: 3 (432 enodes) 169.053 * * [simplify]: Extracting #0: cost 1 inf + 0 169.053 * * [simplify]: Extracting #1: cost 65 inf + 0 169.054 * * [simplify]: Extracting #2: cost 298 inf + 0 169.055 * * [simplify]: Extracting #3: cost 360 inf + 868 169.059 * * [simplify]: Extracting #4: cost 266 inf + 17711 169.073 * * [simplify]: Extracting #5: cost 95 inf + 75947 169.117 * * [simplify]: Extracting #6: cost 4 inf + 123707 169.162 * * [simplify]: Extracting #7: cost 0 inf + 125704 169.187 * * [simplify]: Extracting #8: cost 0 inf + 125703 169.238 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 169.239 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 169.239 * * * * [progress]: [ 130 / 425 ] simplifiying candidate # 169.239 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 169.239 * * [simplify]: iters left: 6 (21 enodes) 169.246 * * [simplify]: iters left: 5 (95 enodes) 169.263 * * [simplify]: iters left: 4 (193 enodes) 169.324 * * [simplify]: iters left: 3 (458 enodes) 169.554 * * [simplify]: Extracting #0: cost 1 inf + 0 169.555 * * [simplify]: Extracting #1: cost 75 inf + 0 169.556 * * [simplify]: Extracting #2: cost 362 inf + 0 169.558 * * [simplify]: Extracting #3: cost 439 inf + 149 169.564 * * [simplify]: Extracting #4: cost 329 inf + 25208 169.589 * * [simplify]: Extracting #5: cost 48 inf + 136516 169.643 * * [simplify]: Extracting #6: cost 0 inf + 161077 169.687 * * [simplify]: Extracting #7: cost 0 inf + 161022 169.750 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))) 169.750 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) (log (sqrt k))))) 169.750 * * * * [progress]: [ 131 / 425 ] simplifiying candidate # 169.750 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 169.751 * * [simplify]: iters left: 6 (20 enodes) 169.763 * * [simplify]: iters left: 5 (91 enodes) 169.797 * * [simplify]: iters left: 4 (189 enodes) 169.863 * * [simplify]: iters left: 3 (491 enodes) 170.146 * * [simplify]: Extracting #0: cost 1 inf + 0 170.146 * * [simplify]: Extracting #1: cost 69 inf + 0 170.147 * * [simplify]: Extracting #2: cost 336 inf + 0 170.149 * * [simplify]: Extracting #3: cost 436 inf + 78 170.154 * * [simplify]: Extracting #4: cost 383 inf + 26091 170.175 * * [simplify]: Extracting #5: cost 110 inf + 136958 170.216 * * [simplify]: Extracting #6: cost 21 inf + 187245 170.249 * * [simplify]: Extracting #7: cost 0 inf + 201248 170.316 * * [simplify]: Extracting #8: cost 0 inf + 201198 170.350 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 170.350 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 170.350 * * * * [progress]: [ 132 / 425 ] simplifiying candidate # 170.350 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 170.350 * * [simplify]: iters left: 6 (23 enodes) 170.362 * * [simplify]: iters left: 5 (101 enodes) 170.382 * * [simplify]: iters left: 4 (197 enodes) 170.451 * * [simplify]: iters left: 3 (470 enodes) 170.650 * * [simplify]: Extracting #0: cost 1 inf + 0 170.650 * * [simplify]: Extracting #1: cost 78 inf + 0 170.651 * * [simplify]: Extracting #2: cost 336 inf + 0 170.661 * * [simplify]: Extracting #3: cost 371 inf + 3076 170.676 * * [simplify]: Extracting #4: cost 245 inf + 50141 170.728 * * [simplify]: Extracting #5: cost 25 inf + 136980 170.787 * * [simplify]: Extracting #6: cost 1 inf + 146921 170.837 * * [simplify]: Extracting #7: cost 0 inf + 146858 170.873 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 170.873 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 170.873 * * * * [progress]: [ 133 / 425 ] simplifiying candidate # 170.874 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 170.874 * * [simplify]: iters left: 6 (23 enodes) 170.881 * * [simplify]: iters left: 5 (101 enodes) 170.900 * * [simplify]: iters left: 4 (197 enodes) 170.974 * * [simplify]: iters left: 3 (470 enodes) 171.185 * * [simplify]: Extracting #0: cost 1 inf + 0 171.186 * * [simplify]: Extracting #1: cost 78 inf + 0 171.188 * * [simplify]: Extracting #2: cost 336 inf + 0 171.192 * * [simplify]: Extracting #3: cost 371 inf + 3076 171.207 * * [simplify]: Extracting #4: cost 245 inf + 50141 171.260 * * [simplify]: Extracting #5: cost 25 inf + 136980 171.320 * * [simplify]: Extracting #6: cost 1 inf + 146921 171.383 * * [simplify]: Extracting #7: cost 0 inf + 146858 171.443 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 171.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 171.444 * * * * [progress]: [ 134 / 425 ] simplifiying candidate # 171.444 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 171.444 * * [simplify]: iters left: 6 (23 enodes) 171.457 * * [simplify]: iters left: 5 (102 enodes) 171.496 * * [simplify]: iters left: 4 (198 enodes) 171.587 * * [simplify]: iters left: 3 (495 enodes) 171.874 * * [simplify]: Extracting #0: cost 1 inf + 0 171.874 * * [simplify]: Extracting #1: cost 93 inf + 0 171.877 * * [simplify]: Extracting #2: cost 424 inf + 0 171.881 * * [simplify]: Extracting #3: cost 477 inf + 372 171.892 * * [simplify]: Extracting #4: cost 390 inf + 23573 171.931 * * [simplify]: Extracting #5: cost 53 inf + 161729 171.980 * * [simplify]: Extracting #6: cost 2 inf + 188688 172.025 * * [simplify]: Extracting #7: cost 0 inf + 189198 172.072 * * [simplify]: Extracting #8: cost 0 inf + 189108 172.140 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 172.140 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 172.140 * * * * [progress]: [ 135 / 425 ] simplifiying candidate # 172.141 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 172.141 * * [simplify]: iters left: 6 (21 enodes) 172.156 * * [simplify]: iters left: 5 (95 enodes) 172.190 * * [simplify]: iters left: 4 (196 enodes) 172.244 * * [simplify]: iters left: 3 (442 enodes) 172.410 * * [simplify]: Extracting #0: cost 1 inf + 0 172.410 * * [simplify]: Extracting #1: cost 68 inf + 0 172.411 * * [simplify]: Extracting #2: cost 303 inf + 0 172.413 * * [simplify]: Extracting #3: cost 325 inf + 2811 172.417 * * [simplify]: Extracting #4: cost 241 inf + 25150 172.452 * * [simplify]: Extracting #5: cost 73 inf + 88242 172.500 * * [simplify]: Extracting #6: cost 10 inf + 119437 172.550 * * [simplify]: Extracting #7: cost 0 inf + 124965 172.603 * * [simplify]: Extracting #8: cost 0 inf + 124933 172.635 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 172.635 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 172.635 * * * * [progress]: [ 136 / 425 ] simplifiying candidate # 172.635 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 172.635 * * [simplify]: iters left: 6 (21 enodes) 172.642 * * [simplify]: iters left: 5 (95 enodes) 172.671 * * [simplify]: iters left: 4 (196 enodes) 172.732 * * [simplify]: iters left: 3 (442 enodes) 172.913 * * [simplify]: Extracting #0: cost 1 inf + 0 172.913 * * [simplify]: Extracting #1: cost 68 inf + 0 172.914 * * [simplify]: Extracting #2: cost 303 inf + 0 172.916 * * [simplify]: Extracting #3: cost 325 inf + 2811 172.921 * * [simplify]: Extracting #4: cost 241 inf + 25150 172.948 * * [simplify]: Extracting #5: cost 73 inf + 88242 172.981 * * [simplify]: Extracting #6: cost 10 inf + 119437 173.022 * * [simplify]: Extracting #7: cost 0 inf + 124965 173.052 * * [simplify]: Extracting #8: cost 0 inf + 124933 173.080 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 173.080 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 173.080 * * * * [progress]: [ 137 / 425 ] simplifiying candidate # 173.080 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 173.080 * * [simplify]: iters left: 6 (21 enodes) 173.088 * * [simplify]: iters left: 5 (96 enodes) 173.120 * * [simplify]: iters left: 4 (197 enodes) 173.176 * * [simplify]: iters left: 3 (454 enodes) 173.398 * * [simplify]: Extracting #0: cost 1 inf + 0 173.399 * * [simplify]: Extracting #1: cost 74 inf + 0 173.400 * * [simplify]: Extracting #2: cost 346 inf + 0 173.401 * * [simplify]: Extracting #3: cost 410 inf + 78 173.405 * * [simplify]: Extracting #4: cost 329 inf + 20177 173.425 * * [simplify]: Extracting #5: cost 75 inf + 117961 173.475 * * [simplify]: Extracting #6: cost 1 inf + 152322 173.512 * * [simplify]: Extracting #7: cost 0 inf + 152324 173.543 * * [simplify]: Extracting #8: cost 0 inf + 152309 173.596 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 173.596 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 173.596 * * * * [progress]: [ 138 / 425 ] simplifiying candidate # 173.597 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 173.597 * * [simplify]: iters left: 6 (21 enodes) 173.611 * * [simplify]: iters left: 5 (95 enodes) 173.645 * * [simplify]: iters left: 4 (196 enodes) 173.704 * * [simplify]: iters left: 3 (442 enodes) 173.919 * * [simplify]: Extracting #0: cost 1 inf + 0 173.919 * * [simplify]: Extracting #1: cost 68 inf + 0 173.920 * * [simplify]: Extracting #2: cost 303 inf + 0 173.922 * * [simplify]: Extracting #3: cost 325 inf + 2811 173.928 * * [simplify]: Extracting #4: cost 241 inf + 25150 173.963 * * [simplify]: Extracting #5: cost 73 inf + 88242 174.004 * * [simplify]: Extracting #6: cost 10 inf + 119437 174.031 * * [simplify]: Extracting #7: cost 0 inf + 124965 174.084 * * [simplify]: Extracting #8: cost 0 inf + 124933 174.113 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 174.113 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 174.114 * * * * [progress]: [ 139 / 425 ] simplifiying candidate # 174.114 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 174.114 * * [simplify]: iters left: 6 (21 enodes) 174.121 * * [simplify]: iters left: 5 (95 enodes) 174.154 * * [simplify]: iters left: 4 (196 enodes) 174.220 * * [simplify]: iters left: 3 (442 enodes) 174.392 * * [simplify]: Extracting #0: cost 1 inf + 0 174.392 * * [simplify]: Extracting #1: cost 68 inf + 0 174.394 * * [simplify]: Extracting #2: cost 303 inf + 0 174.398 * * [simplify]: Extracting #3: cost 325 inf + 2811 174.407 * * [simplify]: Extracting #4: cost 241 inf + 25150 174.437 * * [simplify]: Extracting #5: cost 73 inf + 88242 174.485 * * [simplify]: Extracting #6: cost 10 inf + 119437 174.540 * * [simplify]: Extracting #7: cost 0 inf + 124965 174.589 * * [simplify]: Extracting #8: cost 0 inf + 124933 174.636 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 174.636 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 174.636 * * * * [progress]: [ 140 / 425 ] simplifiying candidate # 174.636 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 174.636 * * [simplify]: iters left: 6 (21 enodes) 174.644 * * [simplify]: iters left: 5 (96 enodes) 174.662 * * [simplify]: iters left: 4 (197 enodes) 174.725 * * [simplify]: iters left: 3 (454 enodes) 174.927 * * [simplify]: Extracting #0: cost 1 inf + 0 174.927 * * [simplify]: Extracting #1: cost 74 inf + 0 174.929 * * [simplify]: Extracting #2: cost 346 inf + 0 174.933 * * [simplify]: Extracting #3: cost 410 inf + 78 174.941 * * [simplify]: Extracting #4: cost 329 inf + 20177 174.980 * * [simplify]: Extracting #5: cost 75 inf + 117961 175.029 * * [simplify]: Extracting #6: cost 1 inf + 152322 175.064 * * [simplify]: Extracting #7: cost 0 inf + 152324 175.099 * * [simplify]: Extracting #8: cost 0 inf + 152309 175.148 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 175.148 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 175.148 * * * * [progress]: [ 141 / 425 ] simplifiying candidate # 175.148 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 175.149 * * [simplify]: iters left: 6 (19 enodes) 175.154 * * [simplify]: iters left: 5 (84 enodes) 175.170 * * [simplify]: iters left: 4 (162 enodes) 175.216 * * [simplify]: iters left: 3 (337 enodes) 175.389 * * [simplify]: Extracting #0: cost 1 inf + 0 175.389 * * [simplify]: Extracting #1: cost 48 inf + 0 175.390 * * [simplify]: Extracting #2: cost 224 inf + 0 175.393 * * [simplify]: Extracting #3: cost 253 inf + 3420 175.402 * * [simplify]: Extracting #4: cost 170 inf + 26358 175.432 * * [simplify]: Extracting #5: cost 25 inf + 81502 175.458 * * [simplify]: Extracting #6: cost 1 inf + 89388 175.489 * * [simplify]: Extracting #7: cost 0 inf + 89704 175.519 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 175.519 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 175.519 * * * * [progress]: [ 142 / 425 ] simplifiying candidate # 175.519 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 175.519 * * [simplify]: iters left: 6 (19 enodes) 175.525 * * [simplify]: iters left: 5 (84 enodes) 175.540 * * [simplify]: iters left: 4 (162 enodes) 175.602 * * [simplify]: iters left: 3 (337 enodes) 175.777 * * [simplify]: Extracting #0: cost 1 inf + 0 175.778 * * [simplify]: Extracting #1: cost 48 inf + 0 175.779 * * [simplify]: Extracting #2: cost 224 inf + 0 175.782 * * [simplify]: Extracting #3: cost 253 inf + 3420 175.791 * * [simplify]: Extracting #4: cost 170 inf + 26358 175.824 * * [simplify]: Extracting #5: cost 25 inf + 81502 175.860 * * [simplify]: Extracting #6: cost 1 inf + 89388 175.884 * * [simplify]: Extracting #7: cost 0 inf + 89704 175.913 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 175.913 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 175.913 * * * * [progress]: [ 143 / 425 ] simplifiying candidate # 175.913 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 175.914 * * [simplify]: iters left: 6 (19 enodes) 175.924 * * [simplify]: iters left: 5 (85 enodes) 175.953 * * [simplify]: iters left: 4 (163 enodes) 176.005 * * [simplify]: iters left: 3 (362 enodes) 176.154 * * [simplify]: Extracting #0: cost 1 inf + 0 176.154 * * [simplify]: Extracting #1: cost 58 inf + 0 176.156 * * [simplify]: Extracting #2: cost 271 inf + 0 176.158 * * [simplify]: Extracting #3: cost 341 inf + 190 176.164 * * [simplify]: Extracting #4: cost 277 inf + 14961 176.195 * * [simplify]: Extracting #5: cost 76 inf + 92171 176.237 * * [simplify]: Extracting #6: cost 14 inf + 115587 176.268 * * [simplify]: Extracting #7: cost 0 inf + 120762 176.299 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) 176.299 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))))) 176.299 * * * * [progress]: [ 144 / 425 ] simplifiying candidate # 176.300 * [simplify]: Simplifying (+ (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 176.300 * * [simplify]: iters left: 6 (19 enodes) 176.310 * * [simplify]: iters left: 5 (83 enodes) 176.338 * * [simplify]: iters left: 4 (167 enodes) 176.405 * * [simplify]: iters left: 3 (406 enodes) 176.623 * * [simplify]: Extracting #0: cost 1 inf + 0 176.623 * * [simplify]: Extracting #1: cost 55 inf + 0 176.625 * * [simplify]: Extracting #2: cost 252 inf + 0 176.627 * * [simplify]: Extracting #3: cost 349 inf + 7 176.632 * * [simplify]: Extracting #4: cost 364 inf + 6701 176.645 * * [simplify]: Extracting #5: cost 163 inf + 87948 176.685 * * [simplify]: Extracting #6: cost 5 inf + 164917 176.730 * * [simplify]: Extracting #7: cost 0 inf + 166098 176.767 * * [simplify]: Extracting #8: cost 0 inf + 165139 176.828 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 176.828 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 176.828 * * * * [progress]: [ 145 / 425 ] simplifiying candidate # 176.828 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 176.829 * * [simplify]: iters left: 6 (21 enodes) 176.841 * * [simplify]: iters left: 5 (92 enodes) 176.874 * * [simplify]: iters left: 4 (185 enodes) 176.965 * * [simplify]: Extracting #0: cost 1 inf + 0 176.966 * * [simplify]: Extracting #1: cost 42 inf + 0 176.966 * * [simplify]: Extracting #2: cost 150 inf + 1 176.967 * * [simplify]: Extracting #3: cost 168 inf + 149 176.967 * * [simplify]: Extracting #4: cost 157 inf + 1280 176.970 * * [simplify]: Extracting #5: cost 93 inf + 15753 176.977 * * [simplify]: Extracting #6: cost 16 inf + 48509 176.988 * * [simplify]: Extracting #7: cost 1 inf + 57255 176.998 * * [simplify]: Extracting #8: cost 0 inf + 57782 177.019 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (log (sqrt k)))) 177.019 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (log (sqrt k)))))) 177.020 * * * * [progress]: [ 146 / 425 ] simplifiying candidate # 177.020 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 177.020 * * [simplify]: iters left: 6 (21 enodes) 177.032 * * [simplify]: iters left: 5 (92 enodes) 177.064 * * [simplify]: iters left: 4 (185 enodes) 177.140 * * [simplify]: Extracting #0: cost 1 inf + 0 177.140 * * [simplify]: Extracting #1: cost 42 inf + 0 177.140 * * [simplify]: Extracting #2: cost 150 inf + 1 177.141 * * [simplify]: Extracting #3: cost 168 inf + 149 177.141 * * [simplify]: Extracting #4: cost 157 inf + 1280 177.144 * * [simplify]: Extracting #5: cost 93 inf + 15753 177.151 * * [simplify]: Extracting #6: cost 16 inf + 48509 177.161 * * [simplify]: Extracting #7: cost 1 inf + 57255 177.172 * * [simplify]: Extracting #8: cost 0 inf + 57782 177.182 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (log (sqrt k)))) 177.182 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (+ (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4))) (log (sqrt k)))))) 177.182 * * * * [progress]: [ 147 / 425 ] simplifiying candidate # 177.183 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 177.183 * * [simplify]: iters left: 6 (21 enodes) 177.189 * * [simplify]: iters left: 5 (93 enodes) 177.208 * * [simplify]: iters left: 4 (187 enodes) 177.272 * * [simplify]: Extracting #0: cost 1 inf + 0 177.272 * * [simplify]: Extracting #1: cost 45 inf + 0 177.273 * * [simplify]: Extracting #2: cost 161 inf + 1 177.274 * * [simplify]: Extracting #3: cost 190 inf + 148 177.277 * * [simplify]: Extracting #4: cost 150 inf + 7835 177.291 * * [simplify]: Extracting #5: cost 52 inf + 45237 177.315 * * [simplify]: Extracting #6: cost 0 inf + 67781 177.338 * * [simplify]: Extracting #7: cost 0 inf + 67457 177.362 * * [simplify]: Extracting #8: cost 0 inf + 67256 177.381 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))) 177.381 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (/ (* (- 1 k) (+ (log PI) (log 2))) 4) (- (log (sqrt k)) (/ (* (- 1 k) (+ (log PI) (log 2))) 4)))))) 177.381 * * * * [progress]: [ 148 / 425 ] simplifiying candidate # 177.381 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 177.382 * * [simplify]: iters left: 6 (24 enodes) 177.389 * * [simplify]: iters left: 5 (98 enodes) 177.410 * * [simplify]: iters left: 4 (198 enodes) 177.499 * * [simplify]: Extracting #0: cost 1 inf + 0 177.500 * * [simplify]: Extracting #1: cost 42 inf + 0 177.500 * * [simplify]: Extracting #2: cost 151 inf + 1 177.502 * * [simplify]: Extracting #3: cost 168 inf + 332 177.503 * * [simplify]: Extracting #4: cost 163 inf + 972 177.507 * * [simplify]: Extracting #5: cost 110 inf + 12667 177.525 * * [simplify]: Extracting #6: cost 12 inf + 52957 177.547 * * [simplify]: Extracting #7: cost 0 inf + 54075 177.568 * * [simplify]: Extracting #8: cost 0 inf + 52732 177.580 * * [simplify]: Extracting #9: cost 0 inf + 52657 177.591 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))) 177.591 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))))) 177.591 * * * * [progress]: [ 149 / 425 ] simplifiying candidate # 177.591 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 177.591 * * [simplify]: iters left: 6 (24 enodes) 177.601 * * [simplify]: iters left: 5 (98 enodes) 177.631 * * [simplify]: iters left: 4 (198 enodes) 177.722 * * [simplify]: Extracting #0: cost 1 inf + 0 177.723 * * [simplify]: Extracting #1: cost 42 inf + 0 177.723 * * [simplify]: Extracting #2: cost 151 inf + 1 177.725 * * [simplify]: Extracting #3: cost 168 inf + 332 177.726 * * [simplify]: Extracting #4: cost 163 inf + 972 177.730 * * [simplify]: Extracting #5: cost 110 inf + 12667 177.749 * * [simplify]: Extracting #6: cost 12 inf + 52957 177.771 * * [simplify]: Extracting #7: cost 0 inf + 54075 177.791 * * [simplify]: Extracting #8: cost 0 inf + 52732 177.807 * * [simplify]: Extracting #9: cost 0 inf + 52657 177.818 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))) 177.818 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))))) 177.818 * * * * [progress]: [ 150 / 425 ] simplifiying candidate # 177.818 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 177.818 * * [simplify]: iters left: 6 (24 enodes) 177.833 * * [simplify]: iters left: 5 (99 enodes) 177.868 * * [simplify]: iters left: 4 (200 enodes) 177.957 * * [simplify]: Extracting #0: cost 1 inf + 0 177.957 * * [simplify]: Extracting #1: cost 44 inf + 0 177.957 * * [simplify]: Extracting #2: cost 159 inf + 1 177.959 * * [simplify]: Extracting #3: cost 189 inf + 148 177.961 * * [simplify]: Extracting #4: cost 156 inf + 4591 177.972 * * [simplify]: Extracting #5: cost 73 inf + 34676 177.993 * * [simplify]: Extracting #6: cost 4 inf + 61924 178.012 * * [simplify]: Extracting #7: cost 0 inf + 60858 178.024 * * [simplify]: Extracting #8: cost 0 inf + 60182 178.035 * * [simplify]: Extracting #9: cost 0 inf + 60048 178.423 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) 178.423 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))))) 178.423 * * * * [progress]: [ 151 / 425 ] simplifiying candidate # 178.424 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 178.424 * * [simplify]: iters left: 6 (24 enodes) 178.431 * * [simplify]: iters left: 5 (98 enodes) 178.460 * * [simplify]: iters left: 4 (198 enodes) 178.572 * * [simplify]: Extracting #0: cost 1 inf + 0 178.572 * * [simplify]: Extracting #1: cost 42 inf + 0 178.572 * * [simplify]: Extracting #2: cost 151 inf + 1 178.573 * * [simplify]: Extracting #3: cost 168 inf + 332 178.574 * * [simplify]: Extracting #4: cost 163 inf + 972 178.575 * * [simplify]: Extracting #5: cost 110 inf + 12667 178.584 * * [simplify]: Extracting #6: cost 12 inf + 52957 178.597 * * [simplify]: Extracting #7: cost 0 inf + 54075 178.618 * * [simplify]: Extracting #8: cost 0 inf + 52732 178.631 * * [simplify]: Extracting #9: cost 0 inf + 52657 178.641 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))) 178.642 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))))) 178.642 * * * * [progress]: [ 152 / 425 ] simplifiying candidate # 178.642 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 178.642 * * [simplify]: iters left: 6 (24 enodes) 178.651 * * [simplify]: iters left: 5 (98 enodes) 178.687 * * [simplify]: iters left: 4 (198 enodes) 178.783 * * [simplify]: Extracting #0: cost 1 inf + 0 178.783 * * [simplify]: Extracting #1: cost 42 inf + 0 178.784 * * [simplify]: Extracting #2: cost 151 inf + 1 178.785 * * [simplify]: Extracting #3: cost 168 inf + 332 178.786 * * [simplify]: Extracting #4: cost 163 inf + 972 178.790 * * [simplify]: Extracting #5: cost 110 inf + 12667 178.808 * * [simplify]: Extracting #6: cost 12 inf + 52957 178.826 * * [simplify]: Extracting #7: cost 0 inf + 54075 178.845 * * [simplify]: Extracting #8: cost 0 inf + 52732 178.866 * * [simplify]: Extracting #9: cost 0 inf + 52657 178.884 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))) 178.884 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (+ (/ (* (- 1 k) (log (* PI 2))) 4) (/ (* (- 1 k) (log (* PI 2))) 4)) (log (sqrt k)))))) 178.884 * * * * [progress]: [ 153 / 425 ] simplifiying candidate # 178.885 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 178.885 * * [simplify]: iters left: 6 (24 enodes) 178.898 * * [simplify]: iters left: 5 (99 enodes) 178.929 * * [simplify]: iters left: 4 (200 enodes) 179.010 * * [simplify]: Extracting #0: cost 1 inf + 0 179.011 * * [simplify]: Extracting #1: cost 44 inf + 0 179.011 * * [simplify]: Extracting #2: cost 159 inf + 1 179.012 * * [simplify]: Extracting #3: cost 189 inf + 148 179.013 * * [simplify]: Extracting #4: cost 156 inf + 4591 179.018 * * [simplify]: Extracting #5: cost 73 inf + 34676 179.034 * * [simplify]: Extracting #6: cost 4 inf + 61924 179.050 * * [simplify]: Extracting #7: cost 0 inf + 60858 179.064 * * [simplify]: Extracting #8: cost 0 inf + 60182 179.075 * * [simplify]: Extracting #9: cost 0 inf + 60048 179.086 * [simplify]: Simplified to (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))) 179.086 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log (* PI 2)) (- 1/4 (/ k 4))) (log (sqrt k))) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (* (log (* PI 2)) (- 1/4 (/ k 4)))))))) 179.087 * * * * [progress]: [ 154 / 425 ] simplifiying candidate # 179.087 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 179.087 * * [simplify]: iters left: 6 (24 enodes) 179.094 * * [simplify]: iters left: 5 (106 enodes) 179.113 * * [simplify]: iters left: 4 (219 enodes) 179.196 * * [simplify]: Extracting #0: cost 1 inf + 0 179.196 * * [simplify]: Extracting #1: cost 30 inf + 0 179.196 * * [simplify]: Extracting #2: cost 129 inf + 1 179.197 * * [simplify]: Extracting #3: cost 177 inf + 261 179.198 * * [simplify]: Extracting #4: cost 141 inf + 7805 179.205 * * [simplify]: Extracting #5: cost 52 inf + 35134 179.217 * * [simplify]: Extracting #6: cost 3 inf + 54997 179.235 * * [simplify]: Extracting #7: cost 0 inf + 55303 179.256 * * [simplify]: Extracting #8: cost 0 inf + 55263 179.267 * [simplify]: Simplified to (+ (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* PI 2)) (/ (- 1 k) 4))) 179.267 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* PI 2)) (/ (- 1 k) 4))))) 179.267 * * * * [progress]: [ 155 / 425 ] simplifiying candidate # 179.268 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 179.268 * * [simplify]: iters left: 6 (24 enodes) 179.275 * * [simplify]: iters left: 5 (106 enodes) 179.300 * * [simplify]: iters left: 4 (219 enodes) 179.400 * * [simplify]: Extracting #0: cost 1 inf + 0 179.400 * * [simplify]: Extracting #1: cost 30 inf + 0 179.400 * * [simplify]: Extracting #2: cost 129 inf + 1 179.401 * * [simplify]: Extracting #3: cost 177 inf + 261 179.402 * * [simplify]: Extracting #4: cost 141 inf + 7805 179.411 * * [simplify]: Extracting #5: cost 52 inf + 35134 179.421 * * [simplify]: Extracting #6: cost 3 inf + 54997 179.431 * * [simplify]: Extracting #7: cost 0 inf + 55303 179.442 * * [simplify]: Extracting #8: cost 0 inf + 55263 179.452 * [simplify]: Simplified to (+ (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* PI 2)) (/ (- 1 k) 4))) 179.452 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* PI 2)) (/ (- 1 k) 4))))) 179.452 * * * * [progress]: [ 156 / 425 ] simplifiying candidate # 179.452 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 179.452 * * [simplify]: iters left: 6 (24 enodes) 179.459 * * [simplify]: iters left: 5 (107 enodes) 179.479 * * [simplify]: iters left: 4 (220 enodes) 179.575 * * [simplify]: Extracting #0: cost 1 inf + 0 179.575 * * [simplify]: Extracting #1: cost 32 inf + 0 179.575 * * [simplify]: Extracting #2: cost 139 inf + 1 179.578 * * [simplify]: Extracting #3: cost 196 inf + 77 179.580 * * [simplify]: Extracting #4: cost 148 inf + 10010 179.587 * * [simplify]: Extracting #5: cost 62 inf + 39723 179.598 * * [simplify]: Extracting #6: cost 2 inf + 61624 179.609 * * [simplify]: Extracting #7: cost 0 inf + 61725 179.625 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 179.625 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (log n) (/ (- 1 k) 2) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 179.626 * * * * [progress]: [ 157 / 425 ] simplifiying candidate # 179.626 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 179.626 * * [simplify]: iters left: 6 (23 enodes) 179.639 * * [simplify]: iters left: 5 (101 enodes) 179.674 * * [simplify]: iters left: 4 (213 enodes) 179.734 * * [simplify]: Extracting #0: cost 1 inf + 0 179.734 * * [simplify]: Extracting #1: cost 35 inf + 0 179.734 * * [simplify]: Extracting #2: cost 133 inf + 1 179.735 * * [simplify]: Extracting #3: cost 186 inf + 75 179.736 * * [simplify]: Extracting #4: cost 175 inf + 2534 179.738 * * [simplify]: Extracting #5: cost 114 inf + 16705 179.748 * * [simplify]: Extracting #6: cost 10 inf + 61823 179.772 * * [simplify]: Extracting #7: cost 0 inf + 67129 179.794 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (* (log (* PI 2)) (/ (- 1 k) 4))) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))) 179.794 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (* (log (* PI 2)) (/ (- 1 k) 4))) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k)))))) 179.794 * * * * [progress]: [ 158 / 425 ] simplifiying candidate # 179.795 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 179.795 * * [simplify]: iters left: 6 (24 enodes) 179.805 * * [simplify]: iters left: 5 (98 enodes) 179.822 * * [simplify]: iters left: 4 (188 enodes) 179.913 * * [simplify]: Extracting #0: cost 1 inf + 0 179.913 * * [simplify]: Extracting #1: cost 44 inf + 0 179.914 * * [simplify]: Extracting #2: cost 154 inf + 1 179.914 * * [simplify]: Extracting #3: cost 174 inf + 78 179.915 * * [simplify]: Extracting #4: cost 166 inf + 984 179.917 * * [simplify]: Extracting #5: cost 125 inf + 7980 179.923 * * [simplify]: Extracting #6: cost 39 inf + 38816 179.934 * * [simplify]: Extracting #7: cost 0 inf + 56580 179.953 * * [simplify]: Extracting #8: cost 0 inf + 56360 179.966 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 179.966 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))))) 179.966 * * * * [progress]: [ 159 / 425 ] simplifiying candidate # 179.966 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 179.967 * * [simplify]: iters left: 6 (24 enodes) 179.976 * * [simplify]: iters left: 5 (98 enodes) 179.994 * * [simplify]: iters left: 4 (188 enodes) 180.080 * * [simplify]: Extracting #0: cost 1 inf + 0 180.080 * * [simplify]: Extracting #1: cost 44 inf + 0 180.081 * * [simplify]: Extracting #2: cost 154 inf + 1 180.081 * * [simplify]: Extracting #3: cost 174 inf + 78 180.082 * * [simplify]: Extracting #4: cost 166 inf + 984 180.084 * * [simplify]: Extracting #5: cost 125 inf + 7980 180.091 * * [simplify]: Extracting #6: cost 39 inf + 38816 180.102 * * [simplify]: Extracting #7: cost 0 inf + 56580 180.117 * * [simplify]: Extracting #8: cost 0 inf + 56360 180.140 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 180.140 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))))) 180.141 * * * * [progress]: [ 160 / 425 ] simplifiying candidate # 180.141 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 180.141 * * [simplify]: iters left: 6 (24 enodes) 180.156 * * [simplify]: iters left: 5 (99 enodes) 180.186 * * [simplify]: iters left: 4 (190 enodes) 180.269 * * [simplify]: Extracting #0: cost 1 inf + 0 180.269 * * [simplify]: Extracting #1: cost 47 inf + 0 180.269 * * [simplify]: Extracting #2: cost 163 inf + 1 180.270 * * [simplify]: Extracting #3: cost 195 inf + 6 180.271 * * [simplify]: Extracting #4: cost 162 inf + 4280 180.275 * * [simplify]: Extracting #5: cost 86 inf + 25749 180.288 * * [simplify]: Extracting #6: cost 14 inf + 54899 180.299 * * [simplify]: Extracting #7: cost 0 inf + 62173 180.321 * * [simplify]: Extracting #8: cost 0 inf + 62036 180.336 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))) 180.336 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))))) 180.336 * * * * [progress]: [ 161 / 425 ] simplifiying candidate # 180.336 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 180.336 * * [simplify]: iters left: 6 (20 enodes) 180.342 * * [simplify]: iters left: 5 (92 enodes) 180.365 * * [simplify]: iters left: 4 (188 enodes) 180.434 * * [simplify]: Extracting #0: cost 1 inf + 0 180.435 * * [simplify]: Extracting #1: cost 40 inf + 0 180.435 * * [simplify]: Extracting #2: cost 137 inf + 1 180.436 * * [simplify]: Extracting #3: cost 155 inf + 261 180.438 * * [simplify]: Extracting #4: cost 144 inf + 1401 180.442 * * [simplify]: Extracting #5: cost 79 inf + 15268 180.457 * * [simplify]: Extracting #6: cost 12 inf + 40963 180.476 * * [simplify]: Extracting #7: cost 0 inf + 45851 180.494 * * [simplify]: Extracting #8: cost 0 inf + 45739 180.516 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 180.516 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 180.517 * * * * [progress]: [ 162 / 425 ] simplifiying candidate # 180.517 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 180.517 * * [simplify]: iters left: 6 (20 enodes) 180.530 * * [simplify]: iters left: 5 (92 enodes) 180.564 * * [simplify]: iters left: 4 (188 enodes) 180.638 * * [simplify]: Extracting #0: cost 1 inf + 0 180.638 * * [simplify]: Extracting #1: cost 40 inf + 0 180.639 * * [simplify]: Extracting #2: cost 137 inf + 1 180.640 * * [simplify]: Extracting #3: cost 155 inf + 261 180.641 * * [simplify]: Extracting #4: cost 144 inf + 1401 180.646 * * [simplify]: Extracting #5: cost 79 inf + 15268 180.660 * * [simplify]: Extracting #6: cost 12 inf + 40963 180.678 * * [simplify]: Extracting #7: cost 0 inf + 45851 180.697 * * [simplify]: Extracting #8: cost 0 inf + 45739 180.715 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 180.715 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 180.715 * * * * [progress]: [ 163 / 425 ] simplifiying candidate # 180.716 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 180.716 * * [simplify]: iters left: 6 (20 enodes) 180.726 * * [simplify]: iters left: 5 (93 enodes) 180.743 * * [simplify]: iters left: 4 (190 enodes) 180.807 * * [simplify]: Extracting #0: cost 1 inf + 0 180.807 * * [simplify]: Extracting #1: cost 43 inf + 0 180.808 * * [simplify]: Extracting #2: cost 148 inf + 1 180.808 * * [simplify]: Extracting #3: cost 179 inf + 77 180.810 * * [simplify]: Extracting #4: cost 131 inf + 8482 180.822 * * [simplify]: Extracting #5: cost 36 inf + 41160 180.842 * * [simplify]: Extracting #6: cost 4 inf + 52168 180.855 * * [simplify]: Extracting #7: cost 0 inf + 53940 180.865 * * [simplify]: Extracting #8: cost 0 inf + 53899 180.875 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 180.875 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 180.875 * * * * [progress]: [ 164 / 425 ] simplifiying candidate # 180.875 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 180.875 * * [simplify]: iters left: 6 (20 enodes) 180.881 * * [simplify]: iters left: 5 (92 enodes) 180.906 * * [simplify]: iters left: 4 (188 enodes) 180.990 * * [simplify]: Extracting #0: cost 1 inf + 0 180.990 * * [simplify]: Extracting #1: cost 40 inf + 0 180.991 * * [simplify]: Extracting #2: cost 137 inf + 1 180.991 * * [simplify]: Extracting #3: cost 155 inf + 261 180.992 * * [simplify]: Extracting #4: cost 144 inf + 1401 180.994 * * [simplify]: Extracting #5: cost 79 inf + 15268 181.002 * * [simplify]: Extracting #6: cost 12 inf + 40963 181.011 * * [simplify]: Extracting #7: cost 0 inf + 45851 181.020 * * [simplify]: Extracting #8: cost 0 inf + 45739 181.029 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 181.029 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 181.030 * * * * [progress]: [ 165 / 425 ] simplifiying candidate # 181.030 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 181.030 * * [simplify]: iters left: 6 (20 enodes) 181.045 * * [simplify]: iters left: 5 (92 enodes) 181.062 * * [simplify]: iters left: 4 (188 enodes) 181.114 * * [simplify]: Extracting #0: cost 1 inf + 0 181.115 * * [simplify]: Extracting #1: cost 40 inf + 0 181.115 * * [simplify]: Extracting #2: cost 137 inf + 1 181.117 * * [simplify]: Extracting #3: cost 155 inf + 261 181.121 * * [simplify]: Extracting #4: cost 144 inf + 1401 181.123 * * [simplify]: Extracting #5: cost 79 inf + 15268 181.130 * * [simplify]: Extracting #6: cost 12 inf + 40963 181.139 * * [simplify]: Extracting #7: cost 0 inf + 45851 181.148 * * [simplify]: Extracting #8: cost 0 inf + 45739 181.162 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 181.162 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 181.162 * * * * [progress]: [ 166 / 425 ] simplifiying candidate # 181.163 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 181.163 * * [simplify]: iters left: 6 (20 enodes) 181.175 * * [simplify]: iters left: 5 (93 enodes) 181.207 * * [simplify]: iters left: 4 (190 enodes) 181.262 * * [simplify]: Extracting #0: cost 1 inf + 0 181.262 * * [simplify]: Extracting #1: cost 43 inf + 0 181.262 * * [simplify]: Extracting #2: cost 148 inf + 1 181.263 * * [simplify]: Extracting #3: cost 179 inf + 77 181.264 * * [simplify]: Extracting #4: cost 131 inf + 8482 181.275 * * [simplify]: Extracting #5: cost 36 inf + 41160 181.294 * * [simplify]: Extracting #6: cost 4 inf + 52168 181.311 * * [simplify]: Extracting #7: cost 0 inf + 53940 181.323 * * [simplify]: Extracting #8: cost 0 inf + 53899 181.333 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 181.333 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 181.333 * * * * [progress]: [ 167 / 425 ] simplifiying candidate # 181.333 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 181.333 * * [simplify]: iters left: 6 (22 enodes) 181.340 * * [simplify]: iters left: 5 (100 enodes) 181.373 * * [simplify]: iters left: 4 (218 enodes) 181.446 * * [simplify]: Extracting #0: cost 1 inf + 0 181.447 * * [simplify]: Extracting #1: cost 25 inf + 0 181.447 * * [simplify]: Extracting #2: cost 109 inf + 1 181.447 * * [simplify]: Extracting #3: cost 164 inf + 75 181.448 * * [simplify]: Extracting #4: cost 152 inf + 1432 181.451 * * [simplify]: Extracting #5: cost 85 inf + 15647 181.460 * * [simplify]: Extracting #6: cost 6 inf + 46020 181.469 * * [simplify]: Extracting #7: cost 0 inf + 48522 181.482 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) 181.482 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))))) 181.482 * * * * [progress]: [ 168 / 425 ] simplifiying candidate # 181.483 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 181.483 * * [simplify]: iters left: 6 (22 enodes) 181.489 * * [simplify]: iters left: 5 (100 enodes) 181.510 * * [simplify]: iters left: 4 (218 enodes) 181.594 * * [simplify]: Extracting #0: cost 1 inf + 0 181.594 * * [simplify]: Extracting #1: cost 25 inf + 0 181.594 * * [simplify]: Extracting #2: cost 109 inf + 1 181.595 * * [simplify]: Extracting #3: cost 164 inf + 75 181.597 * * [simplify]: Extracting #4: cost 152 inf + 1432 181.601 * * [simplify]: Extracting #5: cost 85 inf + 15647 181.609 * * [simplify]: Extracting #6: cost 6 inf + 46020 181.618 * * [simplify]: Extracting #7: cost 0 inf + 48522 181.627 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) 181.627 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))))) 181.628 * * * * [progress]: [ 169 / 425 ] simplifiying candidate # 181.628 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 181.628 * * [simplify]: iters left: 6 (22 enodes) 181.636 * * [simplify]: iters left: 5 (101 enodes) 181.671 * * [simplify]: iters left: 4 (219 enodes) 181.781 * * [simplify]: Extracting #0: cost 1 inf + 0 181.781 * * [simplify]: Extracting #1: cost 31 inf + 0 181.781 * * [simplify]: Extracting #2: cost 131 inf + 1 181.782 * * [simplify]: Extracting #3: cost 177 inf + 148 181.783 * * [simplify]: Extracting #4: cost 142 inf + 5507 181.789 * * [simplify]: Extracting #5: cost 38 inf + 38165 181.801 * * [simplify]: Extracting #6: cost 3 inf + 52082 181.811 * * [simplify]: Extracting #7: cost 0 inf + 53337 181.820 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 181.820 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 181.820 * * * * [progress]: [ 170 / 425 ] simplifiying candidate # 181.821 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 181.821 * * [simplify]: iters left: 6 (21 enodes) 181.827 * * [simplify]: iters left: 5 (97 enodes) 181.860 * * [simplify]: iters left: 4 (219 enodes) 181.953 * * [simplify]: Extracting #0: cost 1 inf + 0 181.954 * * [simplify]: Extracting #1: cost 25 inf + 0 181.954 * * [simplify]: Extracting #2: cost 111 inf + 1 181.955 * * [simplify]: Extracting #3: cost 177 inf + 75 181.956 * * [simplify]: Extracting #4: cost 181 inf + 1026 181.959 * * [simplify]: Extracting #5: cost 139 inf + 8174 181.973 * * [simplify]: Extracting #6: cost 33 inf + 47485 181.994 * * [simplify]: Extracting #7: cost 0 inf + 63228 182.014 * * [simplify]: Extracting #8: cost 0 inf + 62605 182.039 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))) 182.040 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 182.040 * * * * [progress]: [ 171 / 425 ] simplifiying candidate # 182.040 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 182.040 * * [simplify]: iters left: 6 (24 enodes) 182.054 * * [simplify]: iters left: 5 (98 enodes) 182.079 * * [simplify]: iters left: 4 (188 enodes) 182.166 * * [simplify]: Extracting #0: cost 1 inf + 0 182.166 * * [simplify]: Extracting #1: cost 44 inf + 0 182.167 * * [simplify]: Extracting #2: cost 154 inf + 1 182.168 * * [simplify]: Extracting #3: cost 174 inf + 78 182.169 * * [simplify]: Extracting #4: cost 166 inf + 984 182.172 * * [simplify]: Extracting #5: cost 125 inf + 7980 182.181 * * [simplify]: Extracting #6: cost 39 inf + 38816 182.191 * * [simplify]: Extracting #7: cost 0 inf + 56580 182.203 * * [simplify]: Extracting #8: cost 0 inf + 56360 182.219 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 182.219 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))))) 182.219 * * * * [progress]: [ 172 / 425 ] simplifiying candidate # 182.220 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 182.220 * * [simplify]: iters left: 6 (24 enodes) 182.234 * * [simplify]: iters left: 5 (98 enodes) 182.256 * * [simplify]: iters left: 4 (188 enodes) 182.332 * * [simplify]: Extracting #0: cost 1 inf + 0 182.333 * * [simplify]: Extracting #1: cost 44 inf + 0 182.333 * * [simplify]: Extracting #2: cost 154 inf + 1 182.333 * * [simplify]: Extracting #3: cost 174 inf + 78 182.334 * * [simplify]: Extracting #4: cost 166 inf + 984 182.336 * * [simplify]: Extracting #5: cost 125 inf + 7980 182.346 * * [simplify]: Extracting #6: cost 39 inf + 38816 182.357 * * [simplify]: Extracting #7: cost 0 inf + 56580 182.375 * * [simplify]: Extracting #8: cost 0 inf + 56360 182.397 * [simplify]: Simplified to (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 182.397 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (- 1/2 (/ k 2)) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))))) 182.397 * * * * [progress]: [ 173 / 425 ] simplifiying candidate # 182.398 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 182.398 * * [simplify]: iters left: 6 (24 enodes) 182.413 * * [simplify]: iters left: 5 (99 enodes) 182.447 * * [simplify]: iters left: 4 (190 enodes) 182.528 * * [simplify]: Extracting #0: cost 1 inf + 0 182.528 * * [simplify]: Extracting #1: cost 47 inf + 0 182.529 * * [simplify]: Extracting #2: cost 163 inf + 1 182.531 * * [simplify]: Extracting #3: cost 195 inf + 6 182.533 * * [simplify]: Extracting #4: cost 162 inf + 4280 182.541 * * [simplify]: Extracting #5: cost 86 inf + 25749 182.560 * * [simplify]: Extracting #6: cost 14 inf + 54899 182.582 * * [simplify]: Extracting #7: cost 0 inf + 62173 182.600 * * [simplify]: Extracting #8: cost 0 inf + 62036 182.611 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))) 182.611 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k)))))) 182.611 * * * * [progress]: [ 174 / 425 ] simplifiying candidate # 182.611 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 182.611 * * [simplify]: iters left: 6 (20 enodes) 182.617 * * [simplify]: iters left: 5 (92 enodes) 182.644 * * [simplify]: iters left: 4 (188 enodes) 182.710 * * [simplify]: Extracting #0: cost 1 inf + 0 182.710 * * [simplify]: Extracting #1: cost 40 inf + 0 182.711 * * [simplify]: Extracting #2: cost 137 inf + 1 182.712 * * [simplify]: Extracting #3: cost 155 inf + 261 182.713 * * [simplify]: Extracting #4: cost 144 inf + 1401 182.717 * * [simplify]: Extracting #5: cost 79 inf + 15268 182.731 * * [simplify]: Extracting #6: cost 12 inf + 40963 182.750 * * [simplify]: Extracting #7: cost 0 inf + 45851 182.768 * * [simplify]: Extracting #8: cost 0 inf + 45739 182.781 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 182.781 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 182.781 * * * * [progress]: [ 175 / 425 ] simplifiying candidate # 182.781 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 182.781 * * [simplify]: iters left: 6 (20 enodes) 182.788 * * [simplify]: iters left: 5 (92 enodes) 182.808 * * [simplify]: iters left: 4 (188 enodes) 182.855 * * [simplify]: Extracting #0: cost 1 inf + 0 182.855 * * [simplify]: Extracting #1: cost 40 inf + 0 182.856 * * [simplify]: Extracting #2: cost 137 inf + 1 182.857 * * [simplify]: Extracting #3: cost 155 inf + 261 182.858 * * [simplify]: Extracting #4: cost 144 inf + 1401 182.863 * * [simplify]: Extracting #5: cost 79 inf + 15268 182.873 * * [simplify]: Extracting #6: cost 12 inf + 40963 182.882 * * [simplify]: Extracting #7: cost 0 inf + 45851 182.891 * * [simplify]: Extracting #8: cost 0 inf + 45739 182.904 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 182.904 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 182.904 * * * * [progress]: [ 176 / 425 ] simplifiying candidate # 182.905 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 182.905 * * [simplify]: iters left: 6 (20 enodes) 182.917 * * [simplify]: iters left: 5 (93 enodes) 182.938 * * [simplify]: iters left: 4 (190 enodes) 182.993 * * [simplify]: Extracting #0: cost 1 inf + 0 182.993 * * [simplify]: Extracting #1: cost 43 inf + 0 182.994 * * [simplify]: Extracting #2: cost 148 inf + 1 182.994 * * [simplify]: Extracting #3: cost 179 inf + 77 182.996 * * [simplify]: Extracting #4: cost 131 inf + 8482 183.003 * * [simplify]: Extracting #5: cost 36 inf + 41160 183.016 * * [simplify]: Extracting #6: cost 4 inf + 52168 183.036 * * [simplify]: Extracting #7: cost 0 inf + 53940 183.057 * * [simplify]: Extracting #8: cost 0 inf + 53899 183.081 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 183.081 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 183.081 * * * * [progress]: [ 177 / 425 ] simplifiying candidate # 183.081 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 183.082 * * [simplify]: iters left: 6 (20 enodes) 183.094 * * [simplify]: iters left: 5 (92 enodes) 183.127 * * [simplify]: iters left: 4 (188 enodes) 183.222 * * [simplify]: Extracting #0: cost 1 inf + 0 183.222 * * [simplify]: Extracting #1: cost 40 inf + 0 183.223 * * [simplify]: Extracting #2: cost 137 inf + 1 183.224 * * [simplify]: Extracting #3: cost 155 inf + 261 183.225 * * [simplify]: Extracting #4: cost 144 inf + 1401 183.227 * * [simplify]: Extracting #5: cost 79 inf + 15268 183.234 * * [simplify]: Extracting #6: cost 12 inf + 40963 183.243 * * [simplify]: Extracting #7: cost 0 inf + 45851 183.252 * * [simplify]: Extracting #8: cost 0 inf + 45739 183.266 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 183.266 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 183.267 * * * * [progress]: [ 178 / 425 ] simplifiying candidate # 183.267 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 183.267 * * [simplify]: iters left: 6 (20 enodes) 183.278 * * [simplify]: iters left: 5 (92 enodes) 183.294 * * [simplify]: iters left: 4 (188 enodes) 183.363 * * [simplify]: Extracting #0: cost 1 inf + 0 183.363 * * [simplify]: Extracting #1: cost 40 inf + 0 183.364 * * [simplify]: Extracting #2: cost 137 inf + 1 183.365 * * [simplify]: Extracting #3: cost 155 inf + 261 183.366 * * [simplify]: Extracting #4: cost 144 inf + 1401 183.371 * * [simplify]: Extracting #5: cost 79 inf + 15268 183.386 * * [simplify]: Extracting #6: cost 12 inf + 40963 183.407 * * [simplify]: Extracting #7: cost 0 inf + 45851 183.425 * * [simplify]: Extracting #8: cost 0 inf + 45739 183.443 * [simplify]: Simplified to (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)) 183.443 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (/ (- 1 k) 2) (log n) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (log (sqrt k)))) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 183.443 * * * * [progress]: [ 179 / 425 ] simplifiying candidate # 183.443 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 183.444 * * [simplify]: iters left: 6 (20 enodes) 183.455 * * [simplify]: iters left: 5 (93 enodes) 183.489 * * [simplify]: iters left: 4 (190 enodes) 183.541 * * [simplify]: Extracting #0: cost 1 inf + 0 183.541 * * [simplify]: Extracting #1: cost 43 inf + 0 183.542 * * [simplify]: Extracting #2: cost 148 inf + 1 183.542 * * [simplify]: Extracting #3: cost 179 inf + 77 183.544 * * [simplify]: Extracting #4: cost 131 inf + 8482 183.557 * * [simplify]: Extracting #5: cost 36 inf + 41160 183.567 * * [simplify]: Extracting #6: cost 4 inf + 52168 183.577 * * [simplify]: Extracting #7: cost 0 inf + 53940 183.587 * * [simplify]: Extracting #8: cost 0 inf + 53899 183.603 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))) 183.603 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI)))))))) 183.604 * * * * [progress]: [ 180 / 425 ] simplifiying candidate # 183.604 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 183.604 * * [simplify]: iters left: 6 (22 enodes) 183.614 * * [simplify]: iters left: 5 (100 enodes) 183.632 * * [simplify]: iters left: 4 (218 enodes) 183.713 * * [simplify]: Extracting #0: cost 1 inf + 0 183.713 * * [simplify]: Extracting #1: cost 25 inf + 0 183.713 * * [simplify]: Extracting #2: cost 109 inf + 1 183.714 * * [simplify]: Extracting #3: cost 164 inf + 75 183.714 * * [simplify]: Extracting #4: cost 152 inf + 1432 183.717 * * [simplify]: Extracting #5: cost 85 inf + 15647 183.725 * * [simplify]: Extracting #6: cost 6 inf + 46020 183.734 * * [simplify]: Extracting #7: cost 0 inf + 48522 183.751 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) 183.751 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))))) 183.751 * * * * [progress]: [ 181 / 425 ] simplifiying candidate # 183.752 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 183.752 * * [simplify]: iters left: 6 (22 enodes) 183.759 * * [simplify]: iters left: 5 (100 enodes) 183.778 * * [simplify]: iters left: 4 (218 enodes) 183.851 * * [simplify]: Extracting #0: cost 1 inf + 0 183.851 * * [simplify]: Extracting #1: cost 25 inf + 0 183.851 * * [simplify]: Extracting #2: cost 109 inf + 1 183.852 * * [simplify]: Extracting #3: cost 164 inf + 75 183.852 * * [simplify]: Extracting #4: cost 152 inf + 1432 183.855 * * [simplify]: Extracting #5: cost 85 inf + 15647 183.873 * * [simplify]: Extracting #6: cost 6 inf + 46020 183.889 * * [simplify]: Extracting #7: cost 0 inf + 48522 183.905 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))) 183.905 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (log (* 2 PI))) (log (sqrt k))) (fma (log n) (/ (- 1 k) 2) (* (- 1/4 (/ k 4)) (log (* 2 PI))))))) 183.906 * * * * [progress]: [ 182 / 425 ] simplifiying candidate # 183.906 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 183.906 * * [simplify]: iters left: 6 (22 enodes) 183.918 * * [simplify]: iters left: 5 (101 enodes) 183.946 * * [simplify]: iters left: 4 (219 enodes) 184.019 * * [simplify]: Extracting #0: cost 1 inf + 0 184.019 * * [simplify]: Extracting #1: cost 31 inf + 0 184.019 * * [simplify]: Extracting #2: cost 131 inf + 1 184.020 * * [simplify]: Extracting #3: cost 177 inf + 148 184.023 * * [simplify]: Extracting #4: cost 142 inf + 5507 184.034 * * [simplify]: Extracting #5: cost 38 inf + 38165 184.044 * * [simplify]: Extracting #6: cost 3 inf + 52082 184.053 * * [simplify]: Extracting #7: cost 0 inf + 53337 184.067 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 184.067 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 184.068 * * * * [progress]: [ 183 / 425 ] simplifiying candidate # 184.068 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 184.068 * * [simplify]: iters left: 6 (21 enodes) 184.079 * * [simplify]: iters left: 5 (97 enodes) 184.099 * * [simplify]: iters left: 4 (219 enodes) 184.182 * * [simplify]: Extracting #0: cost 1 inf + 0 184.183 * * [simplify]: Extracting #1: cost 25 inf + 0 184.183 * * [simplify]: Extracting #2: cost 111 inf + 1 184.184 * * [simplify]: Extracting #3: cost 177 inf + 75 184.186 * * [simplify]: Extracting #4: cost 181 inf + 1026 184.188 * * [simplify]: Extracting #5: cost 139 inf + 8174 184.195 * * [simplify]: Extracting #6: cost 33 inf + 47485 184.206 * * [simplify]: Extracting #7: cost 0 inf + 63228 184.216 * * [simplify]: Extracting #8: cost 0 inf + 62605 184.236 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))) 184.236 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 184.237 * * * * [progress]: [ 184 / 425 ] simplifiying candidate # 184.237 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 184.237 * * [simplify]: iters left: 6 (24 enodes) 184.246 * * [simplify]: iters left: 5 (107 enodes) 184.271 * * [simplify]: iters left: 4 (225 enodes) 184.381 * * [simplify]: Extracting #0: cost 1 inf + 0 184.382 * * [simplify]: Extracting #1: cost 33 inf + 0 184.382 * * [simplify]: Extracting #2: cost 136 inf + 1 184.383 * * [simplify]: Extracting #3: cost 181 inf + 78 184.384 * * [simplify]: Extracting #4: cost 147 inf + 5275 184.390 * * [simplify]: Extracting #5: cost 44 inf + 37149 184.401 * * [simplify]: Extracting #6: cost 1 inf + 55418 184.422 * * [simplify]: Extracting #7: cost 0 inf + 55793 184.436 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 184.436 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 184.436 * * * * [progress]: [ 185 / 425 ] simplifiying candidate # 184.436 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 184.436 * * [simplify]: iters left: 6 (24 enodes) 184.443 * * [simplify]: iters left: 5 (107 enodes) 184.477 * * [simplify]: iters left: 4 (225 enodes) 184.561 * * [simplify]: Extracting #0: cost 1 inf + 0 184.561 * * [simplify]: Extracting #1: cost 33 inf + 0 184.561 * * [simplify]: Extracting #2: cost 136 inf + 1 184.562 * * [simplify]: Extracting #3: cost 181 inf + 78 184.563 * * [simplify]: Extracting #4: cost 147 inf + 5275 184.575 * * [simplify]: Extracting #5: cost 44 inf + 37149 184.595 * * [simplify]: Extracting #6: cost 1 inf + 55418 184.616 * * [simplify]: Extracting #7: cost 0 inf + 55793 184.637 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))) 184.637 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* 2 PI)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 184.637 * * * * [progress]: [ 186 / 425 ] simplifiying candidate # 184.638 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 184.638 * * [simplify]: iters left: 6 (24 enodes) 184.652 * * [simplify]: iters left: 5 (108 enodes) 184.677 * * [simplify]: iters left: 4 (226 enodes) 184.775 * * [simplify]: Extracting #0: cost 1 inf + 0 184.775 * * [simplify]: Extracting #1: cost 36 inf + 0 184.775 * * [simplify]: Extracting #2: cost 147 inf + 1 184.776 * * [simplify]: Extracting #3: cost 199 inf + 77 184.777 * * [simplify]: Extracting #4: cost 166 inf + 4879 184.783 * * [simplify]: Extracting #5: cost 65 inf + 35946 184.794 * * [simplify]: Extracting #6: cost 4 inf + 61109 184.810 * * [simplify]: Extracting #7: cost 0 inf + 63191 184.831 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))) 184.831 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI))))))) 184.831 * * * * [progress]: [ 187 / 425 ] simplifiying candidate # 184.831 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 184.831 * * [simplify]: iters left: 6 (22 enodes) 184.839 * * [simplify]: iters left: 5 (101 enodes) 184.860 * * [simplify]: iters left: 4 (225 enodes) 184.932 * * [simplify]: Extracting #0: cost 1 inf + 0 184.933 * * [simplify]: Extracting #1: cost 28 inf + 0 184.933 * * [simplify]: Extracting #2: cost 118 inf + 1 184.933 * * [simplify]: Extracting #3: cost 164 inf + 149 184.934 * * [simplify]: Extracting #4: cost 154 inf + 1404 184.938 * * [simplify]: Extracting #5: cost 69 inf + 23249 184.947 * * [simplify]: Extracting #6: cost 5 inf + 51370 184.957 * * [simplify]: Extracting #7: cost 0 inf + 50364 184.973 * * [simplify]: Extracting #8: cost 0 inf + 50139 184.992 * * [simplify]: Extracting #9: cost 0 inf + 50124 185.010 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 185.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 185.011 * * * * [progress]: [ 188 / 425 ] simplifiying candidate # 185.011 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.011 * * [simplify]: iters left: 6 (22 enodes) 185.024 * * [simplify]: iters left: 5 (101 enodes) 185.052 * * [simplify]: iters left: 4 (225 enodes) 185.137 * * [simplify]: Extracting #0: cost 1 inf + 0 185.137 * * [simplify]: Extracting #1: cost 28 inf + 0 185.138 * * [simplify]: Extracting #2: cost 118 inf + 1 185.139 * * [simplify]: Extracting #3: cost 164 inf + 149 185.140 * * [simplify]: Extracting #4: cost 154 inf + 1404 185.148 * * [simplify]: Extracting #5: cost 69 inf + 23249 185.167 * * [simplify]: Extracting #6: cost 5 inf + 51370 185.186 * * [simplify]: Extracting #7: cost 0 inf + 50364 185.205 * * [simplify]: Extracting #8: cost 0 inf + 50139 185.224 * * [simplify]: Extracting #9: cost 0 inf + 50124 185.237 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 185.237 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 185.237 * * * * [progress]: [ 189 / 425 ] simplifiying candidate # 185.238 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 185.238 * * [simplify]: iters left: 6 (22 enodes) 185.245 * * [simplify]: iters left: 5 (102 enodes) 185.271 * * [simplify]: iters left: 4 (226 enodes) 185.371 * * [simplify]: Extracting #0: cost 1 inf + 0 185.371 * * [simplify]: Extracting #1: cost 31 inf + 0 185.371 * * [simplify]: Extracting #2: cost 128 inf + 1 185.373 * * [simplify]: Extracting #3: cost 182 inf + 77 185.375 * * [simplify]: Extracting #4: cost 145 inf + 5960 185.386 * * [simplify]: Extracting #5: cost 57 inf + 31143 185.406 * * [simplify]: Extracting #6: cost 1 inf + 55050 185.426 * * [simplify]: Extracting #7: cost 0 inf + 55440 185.446 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))) 185.446 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))))) 185.446 * * * * [progress]: [ 190 / 425 ] simplifiying candidate # 185.446 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.447 * * [simplify]: iters left: 6 (22 enodes) 185.457 * * [simplify]: iters left: 5 (101 enodes) 185.476 * * [simplify]: iters left: 4 (225 enodes) 185.561 * * [simplify]: Extracting #0: cost 1 inf + 0 185.561 * * [simplify]: Extracting #1: cost 28 inf + 0 185.561 * * [simplify]: Extracting #2: cost 118 inf + 1 185.562 * * [simplify]: Extracting #3: cost 164 inf + 149 185.562 * * [simplify]: Extracting #4: cost 154 inf + 1404 185.566 * * [simplify]: Extracting #5: cost 69 inf + 23249 185.581 * * [simplify]: Extracting #6: cost 5 inf + 51370 185.600 * * [simplify]: Extracting #7: cost 0 inf + 50364 185.619 * * [simplify]: Extracting #8: cost 0 inf + 50139 185.631 * * [simplify]: Extracting #9: cost 0 inf + 50124 185.640 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 185.640 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 185.640 * * * * [progress]: [ 191 / 425 ] simplifiying candidate # 185.641 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 185.641 * * [simplify]: iters left: 6 (22 enodes) 185.649 * * [simplify]: iters left: 5 (101 enodes) 185.674 * * [simplify]: iters left: 4 (225 enodes) 185.767 * * [simplify]: Extracting #0: cost 1 inf + 0 185.767 * * [simplify]: Extracting #1: cost 28 inf + 0 185.768 * * [simplify]: Extracting #2: cost 118 inf + 1 185.769 * * [simplify]: Extracting #3: cost 164 inf + 149 185.770 * * [simplify]: Extracting #4: cost 154 inf + 1404 185.776 * * [simplify]: Extracting #5: cost 69 inf + 23249 185.793 * * [simplify]: Extracting #6: cost 5 inf + 51370 185.805 * * [simplify]: Extracting #7: cost 0 inf + 50364 185.815 * * [simplify]: Extracting #8: cost 0 inf + 50139 185.825 * * [simplify]: Extracting #9: cost 0 inf + 50124 185.834 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))) 185.834 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (- (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (log (sqrt k)))))) 185.834 * * * * [progress]: [ 192 / 425 ] simplifiying candidate # 185.834 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 185.835 * * [simplify]: iters left: 6 (22 enodes) 185.846 * * [simplify]: iters left: 5 (102 enodes) 185.883 * * [simplify]: iters left: 4 (226 enodes) 185.959 * * [simplify]: Extracting #0: cost 1 inf + 0 185.959 * * [simplify]: Extracting #1: cost 31 inf + 0 185.960 * * [simplify]: Extracting #2: cost 128 inf + 1 185.960 * * [simplify]: Extracting #3: cost 182 inf + 77 185.962 * * [simplify]: Extracting #4: cost 145 inf + 5960 185.967 * * [simplify]: Extracting #5: cost 57 inf + 31143 185.979 * * [simplify]: Extracting #6: cost 1 inf + 55050 186.000 * * [simplify]: Extracting #7: cost 0 inf + 55440 186.019 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))) 186.019 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (log (* 2 PI)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4))) (log (sqrt k)))))) 186.019 * * * * [progress]: [ 193 / 425 ] simplifiying candidate # 186.020 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 186.020 * * [simplify]: iters left: 6 (20 enodes) 186.031 * * [simplify]: iters left: 5 (90 enodes) 186.064 * * [simplify]: iters left: 4 (188 enodes) 186.154 * * [simplify]: Extracting #0: cost 1 inf + 0 186.154 * * [simplify]: Extracting #1: cost 39 inf + 0 186.155 * * [simplify]: Extracting #2: cost 136 inf + 1 186.156 * * [simplify]: Extracting #3: cost 174 inf + 149 186.157 * * [simplify]: Extracting #4: cost 164 inf + 1335 186.161 * * [simplify]: Extracting #5: cost 110 inf + 13324 186.174 * * [simplify]: Extracting #6: cost 21 inf + 43710 186.187 * * [simplify]: Extracting #7: cost 0 inf + 51630 186.196 * * [simplify]: Extracting #8: cost 0 inf + 51555 186.206 * [simplify]: Simplified to (- (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k))) 186.206 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k))))) 186.206 * * * * [progress]: [ 194 / 425 ] simplifiying candidate # 186.207 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 186.207 * * [simplify]: iters left: 6 (20 enodes) 186.216 * * [simplify]: iters left: 5 (90 enodes) 186.237 * * [simplify]: iters left: 4 (188 enodes) 186.297 * * [simplify]: Extracting #0: cost 1 inf + 0 186.297 * * [simplify]: Extracting #1: cost 39 inf + 0 186.298 * * [simplify]: Extracting #2: cost 136 inf + 1 186.299 * * [simplify]: Extracting #3: cost 174 inf + 149 186.301 * * [simplify]: Extracting #4: cost 164 inf + 1335 186.304 * * [simplify]: Extracting #5: cost 110 inf + 13324 186.313 * * [simplify]: Extracting #6: cost 21 inf + 43710 186.325 * * [simplify]: Extracting #7: cost 0 inf + 51630 186.334 * * [simplify]: Extracting #8: cost 0 inf + 51555 186.351 * [simplify]: Simplified to (- (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k))) 186.352 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* 2 PI)))) (* (/ (- 1 k) 4) (log (* 2 PI)))) (log (sqrt k))))) 186.352 * * * * [progress]: [ 195 / 425 ] simplifiying candidate # 186.352 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 186.352 * * [simplify]: iters left: 6 (20 enodes) 186.364 * * [simplify]: iters left: 5 (91 enodes) 186.397 * * [simplify]: iters left: 4 (186 enodes) 186.464 * * [simplify]: Extracting #0: cost 1 inf + 0 186.465 * * [simplify]: Extracting #1: cost 42 inf + 0 186.465 * * [simplify]: Extracting #2: cost 147 inf + 1 186.466 * * [simplify]: Extracting #3: cost 189 inf + 148 186.468 * * [simplify]: Extracting #4: cost 178 inf + 1181 186.471 * * [simplify]: Extracting #5: cost 126 inf + 10768 186.488 * * [simplify]: Extracting #6: cost 11 inf + 55196 186.508 * * [simplify]: Extracting #7: cost 0 inf + 59476 186.519 * * [simplify]: Extracting #8: cost 0 inf + 59276 186.530 * * [simplify]: Extracting #9: cost 0 inf + 59235 186.546 * [simplify]: Simplified to (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))) 186.546 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (log (* 2 PI)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))))) 186.546 * * * * [progress]: [ 196 / 425 ] simplifiying candidate # 186.547 * [simplify]: Simplifying (+ (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 186.547 * * [simplify]: iters left: 6 (20 enodes) 186.562 * * [simplify]: iters left: 5 (89 enodes) 186.594 * * [simplify]: iters left: 4 (188 enodes) 186.666 * * [simplify]: Extracting #0: cost 1 inf + 0 186.666 * * [simplify]: Extracting #1: cost 36 inf + 0 186.667 * * [simplify]: Extracting #2: cost 126 inf + 1 186.667 * * [simplify]: Extracting #3: cost 180 inf + 75 186.668 * * [simplify]: Extracting #4: cost 179 inf + 1425 186.669 * * [simplify]: Extracting #5: cost 134 inf + 10157 186.679 * * [simplify]: Extracting #6: cost 30 inf + 53078 186.688 * * [simplify]: Extracting #7: cost 0 inf + 65510 186.698 * * [simplify]: Extracting #8: cost 0 inf + 65183 186.708 * * [simplify]: Extracting #9: cost 0 inf + 65182 186.728 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))) 186.728 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* 2 PI))) (fma (/ (- 1 k) 2) (log n) (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))))))) 186.728 * * * * [progress]: [ 197 / 425 ] simplifiying candidate # 186.728 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 186.729 * * [simplify]: iters left: 6 (21 enodes) 186.741 * * [simplify]: iters left: 5 (93 enodes) 186.773 * * [simplify]: iters left: 4 (177 enodes) 186.864 * * [simplify]: iters left: 3 (495 enodes) 187.148 * * [simplify]: Extracting #0: cost 1 inf + 0 187.149 * * [simplify]: Extracting #1: cost 87 inf + 0 187.152 * * [simplify]: Extracting #2: cost 408 inf + 1 187.160 * * [simplify]: Extracting #3: cost 378 inf + 20027 187.192 * * [simplify]: Extracting #4: cost 130 inf + 112825 187.241 * * [simplify]: Extracting #5: cost 3 inf + 169073 187.299 * * [simplify]: Extracting #6: cost 0 inf + 169784 187.343 * * [simplify]: Extracting #7: cost 0 inf + 169763 187.398 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (+ (log PI) (log 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))) 187.398 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (+ (log PI) (log 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))))) 187.398 * * * * [progress]: [ 198 / 425 ] simplifiying candidate # 187.398 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 187.399 * * [simplify]: iters left: 6 (21 enodes) 187.412 * * [simplify]: iters left: 5 (93 enodes) 187.430 * * [simplify]: iters left: 4 (177 enodes) 187.506 * * [simplify]: iters left: 3 (495 enodes) 187.783 * * [simplify]: Extracting #0: cost 1 inf + 0 187.783 * * [simplify]: Extracting #1: cost 87 inf + 0 187.785 * * [simplify]: Extracting #2: cost 408 inf + 1 187.789 * * [simplify]: Extracting #3: cost 378 inf + 20027 187.822 * * [simplify]: Extracting #4: cost 130 inf + 112825 187.883 * * [simplify]: Extracting #5: cost 3 inf + 169073 187.920 * * [simplify]: Extracting #6: cost 0 inf + 169784 187.984 * * [simplify]: Extracting #7: cost 0 inf + 169763 188.035 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (+ (log PI) (log 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))) 188.036 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (+ (log PI) (log 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))))) 188.036 * * * * [progress]: [ 199 / 425 ] simplifiying candidate # 188.036 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 188.036 * * [simplify]: iters left: 6 (21 enodes) 188.049 * * [simplify]: iters left: 5 (94 enodes) 188.071 * * [simplify]: iters left: 4 (179 enodes) 188.153 * * [simplify]: Extracting #0: cost 1 inf + 0 188.153 * * [simplify]: Extracting #1: cost 32 inf + 0 188.154 * * [simplify]: Extracting #2: cost 122 inf + 1 188.155 * * [simplify]: Extracting #3: cost 150 inf + 260 188.156 * * [simplify]: Extracting #4: cost 144 inf + 961 188.162 * * [simplify]: Extracting #5: cost 75 inf + 20143 188.176 * * [simplify]: Extracting #6: cost 5 inf + 48238 188.188 * * [simplify]: Extracting #7: cost 0 inf + 50356 188.198 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log n)) (+ (* (/ (- 1 k) 4) (log n)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))) 188.198 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log n)) (+ (* (/ (- 1 k) 4) (log n)) (- (* (+ (log PI) (log 2)) (/ (- 1 k) 4)) (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 4)))))))) 188.198 * * * * [progress]: [ 200 / 425 ] simplifiying candidate # 188.198 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 188.199 * * [simplify]: iters left: 6 (24 enodes) 188.205 * * [simplify]: iters left: 5 (99 enodes) 188.232 * * [simplify]: iters left: 4 (186 enodes) 188.305 * * [simplify]: Extracting #0: cost 1 inf + 0 188.305 * * [simplify]: Extracting #1: cost 29 inf + 0 188.305 * * [simplify]: Extracting #2: cost 112 inf + 1 188.305 * * [simplify]: Extracting #3: cost 130 inf + 261 188.306 * * [simplify]: Extracting #4: cost 126 inf + 749 188.308 * * [simplify]: Extracting #5: cost 60 inf + 15377 188.317 * * [simplify]: Extracting #6: cost 10 inf + 33706 188.333 * * [simplify]: Extracting #7: cost 0 inf + 37796 188.349 * * [simplify]: Extracting #8: cost 0 inf + 37511 188.364 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 188.365 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 188.365 * * * * [progress]: [ 201 / 425 ] simplifiying candidate # 188.365 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 188.365 * * [simplify]: iters left: 6 (24 enodes) 188.379 * * [simplify]: iters left: 5 (99 enodes) 188.399 * * [simplify]: iters left: 4 (186 enodes) 188.449 * * [simplify]: Extracting #0: cost 1 inf + 0 188.449 * * [simplify]: Extracting #1: cost 29 inf + 0 188.449 * * [simplify]: Extracting #2: cost 112 inf + 1 188.450 * * [simplify]: Extracting #3: cost 130 inf + 261 188.451 * * [simplify]: Extracting #4: cost 126 inf + 749 188.456 * * [simplify]: Extracting #5: cost 60 inf + 15377 188.462 * * [simplify]: Extracting #6: cost 10 inf + 33706 188.472 * * [simplify]: Extracting #7: cost 0 inf + 37796 188.480 * * [simplify]: Extracting #8: cost 0 inf + 37511 188.488 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 188.488 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 188.488 * * * * [progress]: [ 202 / 425 ] simplifiying candidate # 188.489 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 188.489 * * [simplify]: iters left: 6 (24 enodes) 188.502 * * [simplify]: iters left: 5 (100 enodes) 188.537 * * [simplify]: iters left: 4 (188 enodes) 188.614 * * [simplify]: Extracting #0: cost 1 inf + 0 188.614 * * [simplify]: Extracting #1: cost 32 inf + 0 188.615 * * [simplify]: Extracting #2: cost 122 inf + 1 188.616 * * [simplify]: Extracting #3: cost 152 inf + 148 188.617 * * [simplify]: Extracting #4: cost 147 inf + 749 188.621 * * [simplify]: Extracting #5: cost 93 inf + 13462 188.637 * * [simplify]: Extracting #6: cost 7 inf + 43816 188.656 * * [simplify]: Extracting #7: cost 0 inf + 46294 188.675 * * [simplify]: Extracting #8: cost 0 inf + 46084 188.693 * [simplify]: Simplified to (+ (+ (+ (* (log (* 2 PI)) (- 1/4 (/ k 4))) (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 188.694 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* 2 PI)) (- 1/4 (/ k 4))) (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 188.694 * * * * [progress]: [ 203 / 425 ] simplifiying candidate # 188.694 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 188.694 * * [simplify]: iters left: 6 (24 enodes) 188.705 * * [simplify]: iters left: 5 (99 enodes) 188.722 * * [simplify]: iters left: 4 (186 enodes) 188.818 * * [simplify]: Extracting #0: cost 1 inf + 0 188.818 * * [simplify]: Extracting #1: cost 29 inf + 0 188.819 * * [simplify]: Extracting #2: cost 112 inf + 1 188.820 * * [simplify]: Extracting #3: cost 130 inf + 261 188.821 * * [simplify]: Extracting #4: cost 126 inf + 749 188.825 * * [simplify]: Extracting #5: cost 60 inf + 15377 188.839 * * [simplify]: Extracting #6: cost 10 inf + 33706 188.855 * * [simplify]: Extracting #7: cost 0 inf + 37796 188.865 * * [simplify]: Extracting #8: cost 0 inf + 37511 188.873 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 188.873 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 188.873 * * * * [progress]: [ 204 / 425 ] simplifiying candidate # 188.873 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 188.874 * * [simplify]: iters left: 6 (24 enodes) 188.880 * * [simplify]: iters left: 5 (99 enodes) 188.905 * * [simplify]: iters left: 4 (186 enodes) 188.975 * * [simplify]: Extracting #0: cost 1 inf + 0 188.975 * * [simplify]: Extracting #1: cost 29 inf + 0 188.976 * * [simplify]: Extracting #2: cost 112 inf + 1 188.977 * * [simplify]: Extracting #3: cost 130 inf + 261 188.978 * * [simplify]: Extracting #4: cost 126 inf + 749 188.983 * * [simplify]: Extracting #5: cost 60 inf + 15377 188.996 * * [simplify]: Extracting #6: cost 10 inf + 33706 189.012 * * [simplify]: Extracting #7: cost 0 inf + 37796 189.031 * * [simplify]: Extracting #8: cost 0 inf + 37511 189.047 * [simplify]: Simplified to (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))) 189.047 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 2) (log n) (* (log (* 2 PI)) (/ (- 1 k) 4))) (- (log (sqrt k)) (* (log (* 2 PI)) (/ (- 1 k) 4)))))) 189.047 * * * * [progress]: [ 205 / 425 ] simplifiying candidate # 189.047 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 189.048 * * [simplify]: iters left: 6 (24 enodes) 189.061 * * [simplify]: iters left: 5 (100 enodes) 189.079 * * [simplify]: iters left: 4 (188 enodes) 189.147 * * [simplify]: Extracting #0: cost 1 inf + 0 189.147 * * [simplify]: Extracting #1: cost 32 inf + 0 189.148 * * [simplify]: Extracting #2: cost 122 inf + 1 189.149 * * [simplify]: Extracting #3: cost 152 inf + 148 189.150 * * [simplify]: Extracting #4: cost 147 inf + 749 189.154 * * [simplify]: Extracting #5: cost 93 inf + 13462 189.167 * * [simplify]: Extracting #6: cost 7 inf + 43816 189.184 * * [simplify]: Extracting #7: cost 0 inf + 46294 189.197 * * [simplify]: Extracting #8: cost 0 inf + 46084 189.206 * [simplify]: Simplified to (+ (+ (+ (* (log (* 2 PI)) (- 1/4 (/ k 4))) (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) 189.206 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (+ (* (log (* 2 PI)) (- 1/4 (/ k 4))) (- (* (log (* 2 PI)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))))) 189.207 * * * * [progress]: [ 206 / 425 ] simplifiying candidate # 189.207 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 189.207 * * [simplify]: iters left: 6 (24 enodes) 189.214 * * [simplify]: iters left: 5 (107 enodes) 189.236 * * [simplify]: iters left: 4 (211 enodes) 189.316 * * [simplify]: Extracting #0: cost 1 inf + 0 189.316 * * [simplify]: Extracting #1: cost 28 inf + 0 189.317 * * [simplify]: Extracting #2: cost 119 inf + 1 189.318 * * [simplify]: Extracting #3: cost 167 inf + 261 189.319 * * [simplify]: Extracting #4: cost 161 inf + 1057 189.322 * * [simplify]: Extracting #5: cost 119 inf + 8950 189.334 * * [simplify]: Extracting #6: cost 40 inf + 35222 189.351 * * [simplify]: Extracting #7: cost 1 inf + 52638 189.367 * * [simplify]: Extracting #8: cost 0 inf + 53013 189.377 * [simplify]: Simplified to (+ (fma (log n) (- 1/2 (/ k 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* 2 PI)) (/ (- 1 k) 4))) 189.377 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (- 1/2 (/ k 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* 2 PI)) (/ (- 1 k) 4))))) 189.377 * * * * [progress]: [ 207 / 425 ] simplifiying candidate # 189.377 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 189.378 * * [simplify]: iters left: 6 (24 enodes) 189.385 * * [simplify]: iters left: 5 (107 enodes) 189.406 * * [simplify]: iters left: 4 (211 enodes) 189.466 * * [simplify]: Extracting #0: cost 1 inf + 0 189.466 * * [simplify]: Extracting #1: cost 28 inf + 0 189.466 * * [simplify]: Extracting #2: cost 119 inf + 1 189.467 * * [simplify]: Extracting #3: cost 167 inf + 261 189.470 * * [simplify]: Extracting #4: cost 161 inf + 1057 189.472 * * [simplify]: Extracting #5: cost 119 inf + 8950 189.480 * * [simplify]: Extracting #6: cost 40 inf + 35222 189.490 * * [simplify]: Extracting #7: cost 1 inf + 52638 189.500 * * [simplify]: Extracting #8: cost 0 inf + 53013 189.510 * [simplify]: Simplified to (+ (fma (log n) (- 1/2 (/ k 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* 2 PI)) (/ (- 1 k) 4))) 189.510 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (log n) (- 1/2 (/ k 2)) (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (log (* 2 PI)) (/ (- 1 k) 4))))) 189.510 * * * * [progress]: [ 208 / 425 ] simplifiying candidate # 189.510 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 189.510 * * [simplify]: iters left: 6 (24 enodes) 189.518 * * [simplify]: iters left: 5 (108 enodes) 189.555 * * [simplify]: iters left: 4 (212 enodes) 189.684 * * [simplify]: Extracting #0: cost 1 inf + 0 189.684 * * [simplify]: Extracting #1: cost 30 inf + 0 189.685 * * [simplify]: Extracting #2: cost 128 inf + 1 189.686 * * [simplify]: Extracting #3: cost 185 inf + 77 189.688 * * [simplify]: Extracting #4: cost 149 inf + 8228 189.700 * * [simplify]: Extracting #5: cost 71 inf + 31612 189.724 * * [simplify]: Extracting #6: cost 4 inf + 56047 189.745 * * [simplify]: Extracting #7: cost 0 inf + 57366 189.765 * [simplify]: Simplified to (- (fma (log (* 2 PI)) (/ (- 1 k) 4) (fma (/ (- 1 k) 4) (log (* 2 PI)) (/ (- 1 k) (/ 2 (log n))))) (log (sqrt k))) 189.766 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* 2 PI)) (/ (- 1 k) 4) (fma (/ (- 1 k) 4) (log (* 2 PI)) (/ (- 1 k) (/ 2 (log n))))) (log (sqrt k))))) 189.766 * * * * [progress]: [ 209 / 425 ] simplifiying candidate # 189.766 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 189.766 * * [simplify]: iters left: 6 (23 enodes) 189.780 * * [simplify]: iters left: 5 (102 enodes) 189.814 * * [simplify]: iters left: 4 (205 enodes) 189.917 * * [simplify]: Extracting #0: cost 1 inf + 0 189.917 * * [simplify]: Extracting #1: cost 34 inf + 0 189.917 * * [simplify]: Extracting #2: cost 125 inf + 1 189.918 * * [simplify]: Extracting #3: cost 179 inf + 75 189.921 * * [simplify]: Extracting #4: cost 161 inf + 4858 189.931 * * [simplify]: Extracting #5: cost 53 inf + 42888 189.952 * * [simplify]: Extracting #6: cost 1 inf + 65606 189.964 * * [simplify]: Extracting #7: cost 0 inf + 65000 189.974 * * [simplify]: Extracting #8: cost 0 inf + 64945 189.989 * [simplify]: Simplified to (fma (log (* 2 PI)) (/ (- 1 k) 4) (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k)))) 189.989 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (/ (- 1 k) 4) (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k)))))) 189.990 * * * * [progress]: [ 210 / 425 ] simplifiying candidate # 189.990 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 189.990 * * [simplify]: iters left: 6 (24 enodes) 190.005 * * [simplify]: iters left: 5 (99 enodes) 190.030 * * [simplify]: iters left: 4 (180 enodes) 190.087 * * [simplify]: iters left: 3 (484 enodes) 190.364 * * [simplify]: Extracting #0: cost 1 inf + 0 190.365 * * [simplify]: Extracting #1: cost 80 inf + 0 190.368 * * [simplify]: Extracting #2: cost 391 inf + 1 190.375 * * [simplify]: Extracting #3: cost 383 inf + 13871 190.416 * * [simplify]: Extracting #4: cost 120 inf + 102523 190.483 * * [simplify]: Extracting #5: cost 2 inf + 158446 190.540 * * [simplify]: Extracting #6: cost 0 inf + 158916 190.589 * * [simplify]: Extracting #7: cost 0 inf + 158871 190.630 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 190.630 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 190.630 * * * * [progress]: [ 211 / 425 ] simplifiying candidate # 190.630 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 190.631 * * [simplify]: iters left: 6 (24 enodes) 190.645 * * [simplify]: iters left: 5 (99 enodes) 190.664 * * [simplify]: iters left: 4 (180 enodes) 190.723 * * [simplify]: iters left: 3 (484 enodes) 190.936 * * [simplify]: Extracting #0: cost 1 inf + 0 190.936 * * [simplify]: Extracting #1: cost 80 inf + 0 190.938 * * [simplify]: Extracting #2: cost 391 inf + 1 190.943 * * [simplify]: Extracting #3: cost 383 inf + 13871 190.973 * * [simplify]: Extracting #4: cost 120 inf + 102523 191.021 * * [simplify]: Extracting #5: cost 2 inf + 158446 191.088 * * [simplify]: Extracting #6: cost 0 inf + 158916 191.130 * * [simplify]: Extracting #7: cost 0 inf + 158871 191.189 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 191.189 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 191.189 * * * * [progress]: [ 212 / 425 ] simplifiying candidate # 191.189 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 191.189 * * [simplify]: iters left: 6 (24 enodes) 191.197 * * [simplify]: iters left: 5 (100 enodes) 191.217 * * [simplify]: iters left: 4 (182 enodes) 191.315 * * [simplify]: Extracting #0: cost 1 inf + 0 191.315 * * [simplify]: Extracting #1: cost 32 inf + 0 191.316 * * [simplify]: Extracting #2: cost 121 inf + 1 191.317 * * [simplify]: Extracting #3: cost 153 inf + 6 191.318 * * [simplify]: Extracting #4: cost 145 inf + 832 191.321 * * [simplify]: Extracting #5: cost 101 inf + 8087 191.331 * * [simplify]: Extracting #6: cost 34 inf + 28737 191.347 * * [simplify]: Extracting #7: cost 2 inf + 44344 191.369 * * [simplify]: Extracting #8: cost 0 inf + 45548 191.379 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))) 191.379 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))))) 191.380 * * * * [progress]: [ 213 / 425 ] simplifiying candidate # 191.380 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 191.380 * * [simplify]: iters left: 6 (20 enodes) 191.386 * * [simplify]: iters left: 5 (93 enodes) 191.404 * * [simplify]: iters left: 4 (180 enodes) 191.457 * * [simplify]: iters left: 3 (432 enodes) 191.682 * * [simplify]: Extracting #0: cost 1 inf + 0 191.682 * * [simplify]: Extracting #1: cost 66 inf + 0 191.684 * * [simplify]: Extracting #2: cost 308 inf + 1 191.687 * * [simplify]: Extracting #3: cost 343 inf + 1810 191.696 * * [simplify]: Extracting #4: cost 254 inf + 19885 191.722 * * [simplify]: Extracting #5: cost 37 inf + 97513 191.745 * * [simplify]: Extracting #6: cost 2 inf + 114760 191.774 * * [simplify]: Extracting #7: cost 0 inf + 115439 191.810 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 191.810 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 191.811 * * * * [progress]: [ 214 / 425 ] simplifiying candidate # 191.811 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 191.811 * * [simplify]: iters left: 6 (20 enodes) 191.817 * * [simplify]: iters left: 5 (93 enodes) 191.835 * * [simplify]: iters left: 4 (180 enodes) 191.898 * * [simplify]: iters left: 3 (432 enodes) 192.092 * * [simplify]: Extracting #0: cost 1 inf + 0 192.092 * * [simplify]: Extracting #1: cost 66 inf + 0 192.094 * * [simplify]: Extracting #2: cost 308 inf + 1 192.096 * * [simplify]: Extracting #3: cost 343 inf + 1810 192.104 * * [simplify]: Extracting #4: cost 254 inf + 19885 192.137 * * [simplify]: Extracting #5: cost 37 inf + 97513 192.183 * * [simplify]: Extracting #6: cost 2 inf + 114760 192.220 * * [simplify]: Extracting #7: cost 0 inf + 115439 192.255 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 192.255 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 192.255 * * * * [progress]: [ 215 / 425 ] simplifiying candidate # 192.256 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 192.256 * * [simplify]: iters left: 6 (20 enodes) 192.269 * * [simplify]: iters left: 5 (94 enodes) 192.301 * * [simplify]: iters left: 4 (182 enodes) 192.371 * * [simplify]: iters left: 3 (477 enodes) 192.582 * * [simplify]: Extracting #0: cost 1 inf + 0 192.582 * * [simplify]: Extracting #1: cost 78 inf + 0 192.583 * * [simplify]: Extracting #2: cost 373 inf + 1 192.585 * * [simplify]: Extracting #3: cost 442 inf + 556 192.589 * * [simplify]: Extracting #4: cost 338 inf + 20711 192.607 * * [simplify]: Extracting #5: cost 77 inf + 116856 192.654 * * [simplify]: Extracting #6: cost 1 inf + 153828 192.695 * * [simplify]: Extracting #7: cost 0 inf + 153922 192.731 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 192.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 192.731 * * * * [progress]: [ 216 / 425 ] simplifiying candidate # 192.732 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 192.732 * * [simplify]: iters left: 6 (20 enodes) 192.738 * * [simplify]: iters left: 5 (93 enodes) 192.758 * * [simplify]: iters left: 4 (180 enodes) 192.829 * * [simplify]: iters left: 3 (432 enodes) 192.994 * * [simplify]: Extracting #0: cost 1 inf + 0 192.994 * * [simplify]: Extracting #1: cost 66 inf + 0 192.995 * * [simplify]: Extracting #2: cost 308 inf + 1 192.997 * * [simplify]: Extracting #3: cost 343 inf + 1810 193.004 * * [simplify]: Extracting #4: cost 254 inf + 19885 193.029 * * [simplify]: Extracting #5: cost 37 inf + 97513 193.064 * * [simplify]: Extracting #6: cost 2 inf + 114760 193.088 * * [simplify]: Extracting #7: cost 0 inf + 115439 193.138 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 193.138 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 193.138 * * * * [progress]: [ 217 / 425 ] simplifiying candidate # 193.139 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 193.139 * * [simplify]: iters left: 6 (20 enodes) 193.149 * * [simplify]: iters left: 5 (93 enodes) 193.169 * * [simplify]: iters left: 4 (180 enodes) 193.225 * * [simplify]: iters left: 3 (432 enodes) 193.406 * * [simplify]: Extracting #0: cost 1 inf + 0 193.406 * * [simplify]: Extracting #1: cost 66 inf + 0 193.407 * * [simplify]: Extracting #2: cost 308 inf + 1 193.409 * * [simplify]: Extracting #3: cost 343 inf + 1810 193.413 * * [simplify]: Extracting #4: cost 254 inf + 19885 193.438 * * [simplify]: Extracting #5: cost 37 inf + 97513 193.470 * * [simplify]: Extracting #6: cost 2 inf + 114760 193.503 * * [simplify]: Extracting #7: cost 0 inf + 115439 193.530 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 193.530 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 193.530 * * * * [progress]: [ 218 / 425 ] simplifiying candidate # 193.530 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 193.531 * * [simplify]: iters left: 6 (20 enodes) 193.543 * * [simplify]: iters left: 5 (94 enodes) 193.572 * * [simplify]: iters left: 4 (182 enodes) 193.622 * * [simplify]: iters left: 3 (477 enodes) 193.872 * * [simplify]: Extracting #0: cost 1 inf + 0 193.873 * * [simplify]: Extracting #1: cost 78 inf + 0 193.875 * * [simplify]: Extracting #2: cost 373 inf + 1 193.878 * * [simplify]: Extracting #3: cost 442 inf + 556 193.887 * * [simplify]: Extracting #4: cost 338 inf + 20711 193.924 * * [simplify]: Extracting #5: cost 77 inf + 116856 193.960 * * [simplify]: Extracting #6: cost 1 inf + 153828 193.990 * * [simplify]: Extracting #7: cost 0 inf + 153922 194.029 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 194.029 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 194.029 * * * * [progress]: [ 219 / 425 ] simplifiying candidate # 194.029 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 194.030 * * [simplify]: iters left: 6 (22 enodes) 194.041 * * [simplify]: iters left: 5 (101 enodes) 194.070 * * [simplify]: iters left: 4 (210 enodes) 194.129 * * [simplify]: Extracting #0: cost 1 inf + 0 194.129 * * [simplify]: Extracting #1: cost 22 inf + 0 194.129 * * [simplify]: Extracting #2: cost 99 inf + 1 194.130 * * [simplify]: Extracting #3: cost 151 inf + 149 194.130 * * [simplify]: Extracting #4: cost 145 inf + 1031 194.133 * * [simplify]: Extracting #5: cost 73 inf + 15968 194.141 * * [simplify]: Extracting #6: cost 9 inf + 38627 194.155 * * [simplify]: Extracting #7: cost 0 inf + 43170 194.169 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 194.169 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 194.170 * * * * [progress]: [ 220 / 425 ] simplifiying candidate # 194.170 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 194.170 * * [simplify]: iters left: 6 (22 enodes) 194.181 * * [simplify]: iters left: 5 (101 enodes) 194.199 * * [simplify]: iters left: 4 (210 enodes) 194.277 * * [simplify]: Extracting #0: cost 1 inf + 0 194.277 * * [simplify]: Extracting #1: cost 22 inf + 0 194.278 * * [simplify]: Extracting #2: cost 99 inf + 1 194.278 * * [simplify]: Extracting #3: cost 151 inf + 149 194.280 * * [simplify]: Extracting #4: cost 145 inf + 1031 194.284 * * [simplify]: Extracting #5: cost 73 inf + 15968 194.297 * * [simplify]: Extracting #6: cost 9 inf + 38627 194.306 * * [simplify]: Extracting #7: cost 0 inf + 43170 194.316 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 194.317 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 194.317 * * * * [progress]: [ 221 / 425 ] simplifiying candidate # 194.317 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 194.317 * * [simplify]: iters left: 6 (22 enodes) 194.324 * * [simplify]: iters left: 5 (102 enodes) 194.345 * * [simplify]: iters left: 4 (210 enodes) 194.416 * * [simplify]: Extracting #0: cost 1 inf + 0 194.416 * * [simplify]: Extracting #1: cost 30 inf + 0 194.416 * * [simplify]: Extracting #2: cost 125 inf + 1 194.417 * * [simplify]: Extracting #3: cost 172 inf + 77 194.418 * * [simplify]: Extracting #4: cost 160 inf + 1262 194.419 * * [simplify]: Extracting #5: cost 113 inf + 12236 194.426 * * [simplify]: Extracting #6: cost 22 inf + 42540 194.435 * * [simplify]: Extracting #7: cost 1 inf + 50554 194.445 * * [simplify]: Extracting #8: cost 0 inf + 51160 194.454 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 194.454 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 194.454 * * * * [progress]: [ 222 / 425 ] simplifiying candidate # 194.454 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 194.454 * * [simplify]: iters left: 6 (21 enodes) 194.461 * * [simplify]: iters left: 5 (98 enodes) 194.481 * * [simplify]: iters left: 4 (205 enodes) 194.558 * * [simplify]: Extracting #0: cost 1 inf + 0 194.558 * * [simplify]: Extracting #1: cost 25 inf + 0 194.558 * * [simplify]: Extracting #2: cost 109 inf + 1 194.559 * * [simplify]: Extracting #3: cost 171 inf + 75 194.560 * * [simplify]: Extracting #4: cost 175 inf + 1027 194.563 * * [simplify]: Extracting #5: cost 132 inf + 9492 194.570 * * [simplify]: Extracting #6: cost 47 inf + 38748 194.583 * * [simplify]: Extracting #7: cost 3 inf + 61101 194.594 * * [simplify]: Extracting #8: cost 0 inf + 63074 194.604 * [simplify]: Simplified to (fma (- 1/4 (/ k 4)) (log (* PI 2)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (fma (log (* PI 2)) (- 1/4 (/ k 4)) (- (log (sqrt k))))))) 194.604 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/4 (/ k 4)) (log (* PI 2)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (fma (log (* PI 2)) (- 1/4 (/ k 4)) (- (log (sqrt k))))))))) 194.604 * * * * [progress]: [ 223 / 425 ] simplifiying candidate # 194.604 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 194.605 * * [simplify]: iters left: 6 (24 enodes) 194.613 * * [simplify]: iters left: 5 (99 enodes) 194.637 * * [simplify]: iters left: 4 (180 enodes) 194.687 * * [simplify]: iters left: 3 (484 enodes) 194.864 * * [simplify]: Extracting #0: cost 1 inf + 0 194.864 * * [simplify]: Extracting #1: cost 80 inf + 0 194.865 * * [simplify]: Extracting #2: cost 391 inf + 1 194.869 * * [simplify]: Extracting #3: cost 383 inf + 13871 194.887 * * [simplify]: Extracting #4: cost 120 inf + 102523 194.922 * * [simplify]: Extracting #5: cost 2 inf + 158446 194.959 * * [simplify]: Extracting #6: cost 0 inf + 158916 195.023 * * [simplify]: Extracting #7: cost 0 inf + 158871 195.068 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 195.068 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 195.068 * * * * [progress]: [ 224 / 425 ] simplifiying candidate # 195.068 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 195.068 * * [simplify]: iters left: 6 (24 enodes) 195.075 * * [simplify]: iters left: 5 (99 enodes) 195.092 * * [simplify]: iters left: 4 (180 enodes) 195.154 * * [simplify]: iters left: 3 (484 enodes) 195.389 * * [simplify]: Extracting #0: cost 1 inf + 0 195.390 * * [simplify]: Extracting #1: cost 80 inf + 0 195.391 * * [simplify]: Extracting #2: cost 391 inf + 1 195.395 * * [simplify]: Extracting #3: cost 383 inf + 13871 195.430 * * [simplify]: Extracting #4: cost 120 inf + 102523 195.487 * * [simplify]: Extracting #5: cost 2 inf + 158446 195.530 * * [simplify]: Extracting #6: cost 0 inf + 158916 195.583 * * [simplify]: Extracting #7: cost 0 inf + 158871 195.631 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))) 195.631 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)) (* (/ (- 1 k) 2) (log n))) (log (sqrt k))))) 195.631 * * * * [progress]: [ 225 / 425 ] simplifiying candidate # 195.632 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 195.632 * * [simplify]: iters left: 6 (24 enodes) 195.644 * * [simplify]: iters left: 5 (100 enodes) 195.676 * * [simplify]: iters left: 4 (182 enodes) 195.739 * * [simplify]: Extracting #0: cost 1 inf + 0 195.739 * * [simplify]: Extracting #1: cost 32 inf + 0 195.740 * * [simplify]: Extracting #2: cost 121 inf + 1 195.741 * * [simplify]: Extracting #3: cost 153 inf + 6 195.742 * * [simplify]: Extracting #4: cost 145 inf + 832 195.745 * * [simplify]: Extracting #5: cost 101 inf + 8087 195.756 * * [simplify]: Extracting #6: cost 34 inf + 28737 195.766 * * [simplify]: Extracting #7: cost 2 inf + 44344 195.775 * * [simplify]: Extracting #8: cost 0 inf + 45548 195.784 * [simplify]: Simplified to (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))) 195.784 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (- (+ (+ (* (log (* PI 2)) (- 1/4 (/ k 4))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))))) 195.784 * * * * [progress]: [ 226 / 425 ] simplifiying candidate # 195.784 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 195.784 * * [simplify]: iters left: 6 (20 enodes) 195.790 * * [simplify]: iters left: 5 (93 enodes) 195.807 * * [simplify]: iters left: 4 (180 enodes) 195.877 * * [simplify]: iters left: 3 (432 enodes) 196.040 * * [simplify]: Extracting #0: cost 1 inf + 0 196.040 * * [simplify]: Extracting #1: cost 66 inf + 0 196.041 * * [simplify]: Extracting #2: cost 308 inf + 1 196.044 * * [simplify]: Extracting #3: cost 343 inf + 1810 196.052 * * [simplify]: Extracting #4: cost 254 inf + 19885 196.076 * * [simplify]: Extracting #5: cost 37 inf + 97513 196.108 * * [simplify]: Extracting #6: cost 2 inf + 114760 196.137 * * [simplify]: Extracting #7: cost 0 inf + 115439 196.169 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 196.169 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 196.169 * * * * [progress]: [ 227 / 425 ] simplifiying candidate # 196.170 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 196.170 * * [simplify]: iters left: 6 (20 enodes) 196.176 * * [simplify]: iters left: 5 (93 enodes) 196.200 * * [simplify]: iters left: 4 (180 enodes) 196.261 * * [simplify]: iters left: 3 (432 enodes) 196.435 * * [simplify]: Extracting #0: cost 1 inf + 0 196.435 * * [simplify]: Extracting #1: cost 66 inf + 0 196.436 * * [simplify]: Extracting #2: cost 308 inf + 1 196.437 * * [simplify]: Extracting #3: cost 343 inf + 1810 196.441 * * [simplify]: Extracting #4: cost 254 inf + 19885 196.458 * * [simplify]: Extracting #5: cost 37 inf + 97513 196.501 * * [simplify]: Extracting #6: cost 2 inf + 114760 196.531 * * [simplify]: Extracting #7: cost 0 inf + 115439 196.570 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 196.570 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 196.571 * * * * [progress]: [ 228 / 425 ] simplifiying candidate # 196.571 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 196.571 * * [simplify]: iters left: 6 (20 enodes) 196.584 * * [simplify]: iters left: 5 (94 enodes) 196.604 * * [simplify]: iters left: 4 (182 enodes) 196.661 * * [simplify]: iters left: 3 (477 enodes) 196.888 * * [simplify]: Extracting #0: cost 1 inf + 0 196.889 * * [simplify]: Extracting #1: cost 78 inf + 0 196.890 * * [simplify]: Extracting #2: cost 373 inf + 1 196.892 * * [simplify]: Extracting #3: cost 442 inf + 556 196.898 * * [simplify]: Extracting #4: cost 338 inf + 20711 196.928 * * [simplify]: Extracting #5: cost 77 inf + 116856 196.961 * * [simplify]: Extracting #6: cost 1 inf + 153828 196.996 * * [simplify]: Extracting #7: cost 0 inf + 153922 197.028 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 197.028 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 197.028 * * * * [progress]: [ 229 / 425 ] simplifiying candidate # 197.029 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 197.029 * * [simplify]: iters left: 6 (20 enodes) 197.035 * * [simplify]: iters left: 5 (93 enodes) 197.056 * * [simplify]: iters left: 4 (180 enodes) 197.097 * * [simplify]: iters left: 3 (432 enodes) 197.258 * * [simplify]: Extracting #0: cost 1 inf + 0 197.258 * * [simplify]: Extracting #1: cost 66 inf + 0 197.260 * * [simplify]: Extracting #2: cost 308 inf + 1 197.263 * * [simplify]: Extracting #3: cost 343 inf + 1810 197.271 * * [simplify]: Extracting #4: cost 254 inf + 19885 197.309 * * [simplify]: Extracting #5: cost 37 inf + 97513 197.338 * * [simplify]: Extracting #6: cost 2 inf + 114760 197.374 * * [simplify]: Extracting #7: cost 0 inf + 115439 197.402 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 197.402 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 197.403 * * * * [progress]: [ 230 / 425 ] simplifiying candidate # 197.403 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 197.403 * * [simplify]: iters left: 6 (20 enodes) 197.411 * * [simplify]: iters left: 5 (93 enodes) 197.441 * * [simplify]: iters left: 4 (180 enodes) 197.496 * * [simplify]: iters left: 3 (432 enodes) 197.699 * * [simplify]: Extracting #0: cost 1 inf + 0 197.700 * * [simplify]: Extracting #1: cost 66 inf + 0 197.701 * * [simplify]: Extracting #2: cost 308 inf + 1 197.704 * * [simplify]: Extracting #3: cost 343 inf + 1810 197.712 * * [simplify]: Extracting #4: cost 254 inf + 19885 197.745 * * [simplify]: Extracting #5: cost 37 inf + 97513 197.790 * * [simplify]: Extracting #6: cost 2 inf + 114760 197.828 * * [simplify]: Extracting #7: cost 0 inf + 115439 197.859 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))) 197.859 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2)))) (log (sqrt k))))) 197.859 * * * * [progress]: [ 231 / 425 ] simplifiying candidate # 197.860 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 197.860 * * [simplify]: iters left: 6 (20 enodes) 197.866 * * [simplify]: iters left: 5 (94 enodes) 197.883 * * [simplify]: iters left: 4 (182 enodes) 197.934 * * [simplify]: iters left: 3 (477 enodes) 198.176 * * [simplify]: Extracting #0: cost 1 inf + 0 198.177 * * [simplify]: Extracting #1: cost 78 inf + 0 198.179 * * [simplify]: Extracting #2: cost 373 inf + 1 198.182 * * [simplify]: Extracting #3: cost 442 inf + 556 198.187 * * [simplify]: Extracting #4: cost 338 inf + 20711 198.210 * * [simplify]: Extracting #5: cost 77 inf + 116856 198.263 * * [simplify]: Extracting #6: cost 1 inf + 153828 198.301 * * [simplify]: Extracting #7: cost 0 inf + 153922 198.337 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 198.337 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 198.337 * * * * [progress]: [ 232 / 425 ] simplifiying candidate # 198.337 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 198.337 * * [simplify]: iters left: 6 (22 enodes) 198.347 * * [simplify]: iters left: 5 (101 enodes) 198.377 * * [simplify]: iters left: 4 (210 enodes) 198.435 * * [simplify]: Extracting #0: cost 1 inf + 0 198.435 * * [simplify]: Extracting #1: cost 22 inf + 0 198.435 * * [simplify]: Extracting #2: cost 99 inf + 1 198.436 * * [simplify]: Extracting #3: cost 151 inf + 149 198.436 * * [simplify]: Extracting #4: cost 145 inf + 1031 198.439 * * [simplify]: Extracting #5: cost 73 inf + 15968 198.446 * * [simplify]: Extracting #6: cost 9 inf + 38627 198.454 * * [simplify]: Extracting #7: cost 0 inf + 43170 198.462 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 198.463 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 198.463 * * * * [progress]: [ 233 / 425 ] simplifiying candidate # 198.463 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 198.463 * * [simplify]: iters left: 6 (22 enodes) 198.470 * * [simplify]: iters left: 5 (101 enodes) 198.498 * * [simplify]: iters left: 4 (210 enodes) 198.572 * * [simplify]: Extracting #0: cost 1 inf + 0 198.573 * * [simplify]: Extracting #1: cost 22 inf + 0 198.573 * * [simplify]: Extracting #2: cost 99 inf + 1 198.574 * * [simplify]: Extracting #3: cost 151 inf + 149 198.575 * * [simplify]: Extracting #4: cost 145 inf + 1031 198.584 * * [simplify]: Extracting #5: cost 73 inf + 15968 198.598 * * [simplify]: Extracting #6: cost 9 inf + 38627 198.614 * * [simplify]: Extracting #7: cost 0 inf + 43170 198.630 * [simplify]: Simplified to (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 198.630 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log n) (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 198.630 * * * * [progress]: [ 234 / 425 ] simplifiying candidate # 198.630 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 198.631 * * [simplify]: iters left: 6 (22 enodes) 198.643 * * [simplify]: iters left: 5 (102 enodes) 198.680 * * [simplify]: iters left: 4 (210 enodes) 198.761 * * [simplify]: Extracting #0: cost 1 inf + 0 198.761 * * [simplify]: Extracting #1: cost 30 inf + 0 198.762 * * [simplify]: Extracting #2: cost 125 inf + 1 198.763 * * [simplify]: Extracting #3: cost 172 inf + 77 198.765 * * [simplify]: Extracting #4: cost 160 inf + 1262 198.769 * * [simplify]: Extracting #5: cost 113 inf + 12236 198.779 * * [simplify]: Extracting #6: cost 22 inf + 42540 198.788 * * [simplify]: Extracting #7: cost 1 inf + 50554 198.797 * * [simplify]: Extracting #8: cost 0 inf + 51160 198.816 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 198.816 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 198.816 * * * * [progress]: [ 235 / 425 ] simplifiying candidate # 198.817 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 198.817 * * [simplify]: iters left: 6 (21 enodes) 198.830 * * [simplify]: iters left: 5 (98 enodes) 198.863 * * [simplify]: iters left: 4 (205 enodes) 198.939 * * [simplify]: Extracting #0: cost 1 inf + 0 198.939 * * [simplify]: Extracting #1: cost 25 inf + 0 198.939 * * [simplify]: Extracting #2: cost 109 inf + 1 198.940 * * [simplify]: Extracting #3: cost 171 inf + 75 198.940 * * [simplify]: Extracting #4: cost 175 inf + 1027 198.942 * * [simplify]: Extracting #5: cost 132 inf + 9492 198.948 * * [simplify]: Extracting #6: cost 47 inf + 38748 198.969 * * [simplify]: Extracting #7: cost 3 inf + 61101 198.989 * * [simplify]: Extracting #8: cost 0 inf + 63074 199.010 * [simplify]: Simplified to (fma (- 1/4 (/ k 4)) (log (* PI 2)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (fma (log (* PI 2)) (- 1/4 (/ k 4)) (- (log (sqrt k))))))) 199.010 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (- 1/4 (/ k 4)) (log (* PI 2)) (+ (* (- 1/4 (/ k 4)) (log n)) (+ (* (- 1/4 (/ k 4)) (log n)) (fma (log (* PI 2)) (- 1/4 (/ k 4)) (- (log (sqrt k))))))))) 199.011 * * * * [progress]: [ 236 / 425 ] simplifiying candidate # 199.011 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 199.011 * * [simplify]: iters left: 6 (24 enodes) 199.025 * * [simplify]: iters left: 5 (108 enodes) 199.063 * * [simplify]: iters left: 4 (212 enodes) 199.147 * * [simplify]: Extracting #0: cost 1 inf + 0 199.147 * * [simplify]: Extracting #1: cost 27 inf + 0 199.147 * * [simplify]: Extracting #2: cost 118 inf + 1 199.147 * * [simplify]: Extracting #3: cost 173 inf + 4 199.148 * * [simplify]: Extracting #4: cost 164 inf + 1148 199.150 * * [simplify]: Extracting #5: cost 113 inf + 9670 199.159 * * [simplify]: Extracting #6: cost 21 inf + 40981 199.177 * * [simplify]: Extracting #7: cost 0 inf + 51775 199.196 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) 199.196 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))))) 199.196 * * * * [progress]: [ 237 / 425 ] simplifiying candidate # 199.197 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 199.197 * * [simplify]: iters left: 6 (24 enodes) 199.210 * * [simplify]: iters left: 5 (108 enodes) 199.247 * * [simplify]: iters left: 4 (212 enodes) 199.309 * * [simplify]: Extracting #0: cost 1 inf + 0 199.309 * * [simplify]: Extracting #1: cost 27 inf + 0 199.310 * * [simplify]: Extracting #2: cost 118 inf + 1 199.310 * * [simplify]: Extracting #3: cost 173 inf + 4 199.311 * * [simplify]: Extracting #4: cost 164 inf + 1148 199.313 * * [simplify]: Extracting #5: cost 113 inf + 9670 199.320 * * [simplify]: Extracting #6: cost 21 inf + 40981 199.334 * * [simplify]: Extracting #7: cost 0 inf + 51775 199.355 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))) 199.355 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (/ (- 1 k) 4) (log (* PI 2)))) (- (log (sqrt k)) (* (/ (- 1 k) 4) (log (* PI 2))))))) 199.355 * * * * [progress]: [ 238 / 425 ] simplifiying candidate # 199.355 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 199.355 * * [simplify]: iters left: 6 (24 enodes) 199.363 * * [simplify]: iters left: 5 (109 enodes) 199.383 * * [simplify]: iters left: 4 (213 enodes) 199.478 * * [simplify]: Extracting #0: cost 1 inf + 0 199.478 * * [simplify]: Extracting #1: cost 31 inf + 0 199.479 * * [simplify]: Extracting #2: cost 138 inf + 1 199.480 * * [simplify]: Extracting #3: cost 189 inf + 4 199.482 * * [simplify]: Extracting #4: cost 160 inf + 4081 199.490 * * [simplify]: Extracting #5: cost 79 inf + 24555 199.510 * * [simplify]: Extracting #6: cost 4 inf + 56618 199.527 * * [simplify]: Extracting #7: cost 0 inf + 58596 199.538 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2))))) 199.538 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2))))))) 199.538 * * * * [progress]: [ 239 / 425 ] simplifiying candidate # 199.538 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 199.538 * * [simplify]: iters left: 6 (22 enodes) 199.545 * * [simplify]: iters left: 5 (102 enodes) 199.565 * * [simplify]: iters left: 4 (211 enodes) 199.630 * * [simplify]: Extracting #0: cost 1 inf + 0 199.630 * * [simplify]: Extracting #1: cost 24 inf + 0 199.630 * * [simplify]: Extracting #2: cost 107 inf + 1 199.631 * * [simplify]: Extracting #3: cost 157 inf + 75 199.632 * * [simplify]: Extracting #4: cost 149 inf + 971 199.637 * * [simplify]: Extracting #5: cost 80 inf + 15890 199.648 * * [simplify]: Extracting #6: cost 7 inf + 41491 199.662 * * [simplify]: Extracting #7: cost 0 inf + 43985 199.676 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))) 199.677 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))))) 199.677 * * * * [progress]: [ 240 / 425 ] simplifiying candidate # 199.677 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 199.677 * * [simplify]: iters left: 6 (22 enodes) 199.689 * * [simplify]: iters left: 5 (102 enodes) 199.719 * * [simplify]: iters left: 4 (211 enodes) 199.786 * * [simplify]: Extracting #0: cost 1 inf + 0 199.786 * * [simplify]: Extracting #1: cost 24 inf + 0 199.786 * * [simplify]: Extracting #2: cost 107 inf + 1 199.787 * * [simplify]: Extracting #3: cost 157 inf + 75 199.788 * * [simplify]: Extracting #4: cost 149 inf + 971 199.792 * * [simplify]: Extracting #5: cost 80 inf + 15890 199.804 * * [simplify]: Extracting #6: cost 7 inf + 41491 199.819 * * [simplify]: Extracting #7: cost 0 inf + 43985 199.833 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))) 199.833 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))))) 199.833 * * * * [progress]: [ 241 / 425 ] simplifiying candidate # 199.833 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 199.833 * * [simplify]: iters left: 6 (22 enodes) 199.845 * * [simplify]: iters left: 5 (103 enodes) 199.879 * * [simplify]: iters left: 4 (212 enodes) 199.938 * * [simplify]: Extracting #0: cost 1 inf + 0 199.938 * * [simplify]: Extracting #1: cost 24 inf + 0 199.938 * * [simplify]: Extracting #2: cost 110 inf + 1 199.939 * * [simplify]: Extracting #3: cost 172 inf + 75 199.939 * * [simplify]: Extracting #4: cost 168 inf + 432 199.941 * * [simplify]: Extracting #5: cost 107 inf + 11034 199.957 * * [simplify]: Extracting #6: cost 20 inf + 42873 199.972 * * [simplify]: Extracting #7: cost 2 inf + 50185 199.987 * * [simplify]: Extracting #8: cost 0 inf + 51093 199.997 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))) 199.997 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))))) 199.997 * * * * [progress]: [ 242 / 425 ] simplifiying candidate # 199.997 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 199.997 * * [simplify]: iters left: 6 (22 enodes) 200.004 * * [simplify]: iters left: 5 (102 enodes) 200.021 * * [simplify]: iters left: 4 (211 enodes) 200.073 * * [simplify]: Extracting #0: cost 1 inf + 0 200.073 * * [simplify]: Extracting #1: cost 24 inf + 0 200.073 * * [simplify]: Extracting #2: cost 107 inf + 1 200.074 * * [simplify]: Extracting #3: cost 157 inf + 75 200.074 * * [simplify]: Extracting #4: cost 149 inf + 971 200.077 * * [simplify]: Extracting #5: cost 80 inf + 15890 200.083 * * [simplify]: Extracting #6: cost 7 inf + 41491 200.091 * * [simplify]: Extracting #7: cost 0 inf + 43985 200.100 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))) 200.100 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))))) 200.100 * * * * [progress]: [ 243 / 425 ] simplifiying candidate # 200.100 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 200.100 * * [simplify]: iters left: 6 (22 enodes) 200.107 * * [simplify]: iters left: 5 (102 enodes) 200.128 * * [simplify]: iters left: 4 (211 enodes) 200.198 * * [simplify]: Extracting #0: cost 1 inf + 0 200.198 * * [simplify]: Extracting #1: cost 24 inf + 0 200.199 * * [simplify]: Extracting #2: cost 107 inf + 1 200.200 * * [simplify]: Extracting #3: cost 157 inf + 75 200.201 * * [simplify]: Extracting #4: cost 149 inf + 971 200.207 * * [simplify]: Extracting #5: cost 80 inf + 15890 200.214 * * [simplify]: Extracting #6: cost 7 inf + 41491 200.222 * * [simplify]: Extracting #7: cost 0 inf + 43985 200.230 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))) 200.230 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (log (* PI 2))) (- (fma (/ (- 1 k) 2) (log n) (* (/ (- 1 k) 4) (log (* PI 2)))) (log (sqrt k)))))) 200.230 * * * * [progress]: [ 244 / 425 ] simplifiying candidate # 200.230 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 200.230 * * [simplify]: iters left: 6 (22 enodes) 200.237 * * [simplify]: iters left: 5 (103 enodes) 200.257 * * [simplify]: iters left: 4 (212 enodes) 200.325 * * [simplify]: Extracting #0: cost 1 inf + 0 200.325 * * [simplify]: Extracting #1: cost 24 inf + 0 200.325 * * [simplify]: Extracting #2: cost 110 inf + 1 200.326 * * [simplify]: Extracting #3: cost 172 inf + 75 200.327 * * [simplify]: Extracting #4: cost 168 inf + 432 200.331 * * [simplify]: Extracting #5: cost 107 inf + 11034 200.342 * * [simplify]: Extracting #6: cost 20 inf + 42873 200.351 * * [simplify]: Extracting #7: cost 2 inf + 50185 200.364 * * [simplify]: Extracting #8: cost 0 inf + 51093 200.373 * [simplify]: Simplified to (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))) 200.373 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (- (+ (+ (* (- 1/4 (/ k 4)) (log (* PI 2))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k)))))) 200.373 * * * * [progress]: [ 245 / 425 ] simplifiying candidate # 200.374 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 200.374 * * [simplify]: iters left: 6 (20 enodes) 200.386 * * [simplify]: iters left: 5 (91 enodes) 200.413 * * [simplify]: iters left: 4 (180 enodes) 200.452 * * [simplify]: iters left: 3 (428 enodes) 200.656 * * [simplify]: Extracting #0: cost 1 inf + 0 200.656 * * [simplify]: Extracting #1: cost 63 inf + 0 200.658 * * [simplify]: Extracting #2: cost 346 inf + 1 200.662 * * [simplify]: Extracting #3: cost 394 inf + 3254 200.674 * * [simplify]: Extracting #4: cost 255 inf + 41175 200.712 * * [simplify]: Extracting #5: cost 55 inf + 115418 200.771 * * [simplify]: Extracting #6: cost 6 inf + 132368 200.801 * * [simplify]: Extracting #7: cost 0 inf + 135699 200.856 * * [simplify]: Extracting #8: cost 0 inf + 135698 200.911 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 200.912 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 200.912 * * * * [progress]: [ 246 / 425 ] simplifiying candidate # 200.912 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 200.912 * * [simplify]: iters left: 6 (20 enodes) 200.923 * * [simplify]: iters left: 5 (91 enodes) 200.953 * * [simplify]: iters left: 4 (180 enodes) 201.024 * * [simplify]: iters left: 3 (428 enodes) 201.232 * * [simplify]: Extracting #0: cost 1 inf + 0 201.232 * * [simplify]: Extracting #1: cost 63 inf + 0 201.234 * * [simplify]: Extracting #2: cost 346 inf + 1 201.238 * * [simplify]: Extracting #3: cost 394 inf + 3254 201.251 * * [simplify]: Extracting #4: cost 255 inf + 41175 201.281 * * [simplify]: Extracting #5: cost 55 inf + 115418 201.326 * * [simplify]: Extracting #6: cost 6 inf + 132368 201.376 * * [simplify]: Extracting #7: cost 0 inf + 135699 201.422 * * [simplify]: Extracting #8: cost 0 inf + 135698 201.454 * [simplify]: Simplified to (- (fma (log (* PI 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))) 201.454 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI 2)) (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (* (log n) (/ (- 1 k) 2))) (log (sqrt k))))) 201.454 * * * * [progress]: [ 247 / 425 ] simplifiying candidate # 201.455 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 201.455 * * [simplify]: iters left: 6 (20 enodes) 201.464 * * [simplify]: iters left: 5 (92 enodes) 201.482 * * [simplify]: iters left: 4 (178 enodes) 201.544 * * [simplify]: iters left: 3 (448 enodes) 201.771 * * [simplify]: Extracting #0: cost 1 inf + 0 201.772 * * [simplify]: Extracting #1: cost 75 inf + 0 201.773 * * [simplify]: Extracting #2: cost 421 inf + 1 201.775 * * [simplify]: Extracting #3: cost 503 inf + 599 201.780 * * [simplify]: Extracting #4: cost 394 inf + 27388 201.822 * * [simplify]: Extracting #5: cost 108 inf + 129879 201.856 * * [simplify]: Extracting #6: cost 1 inf + 174205 201.925 * * [simplify]: Extracting #7: cost 0 inf + 174359 201.981 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 201.981 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 201.981 * * * * [progress]: [ 248 / 425 ] simplifiying candidate # 201.982 * [simplify]: Simplifying (+ (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 201.982 * * [simplify]: iters left: 6 (20 enodes) 201.988 * * [simplify]: iters left: 5 (90 enodes) 202.003 * * [simplify]: iters left: 4 (180 enodes) 202.082 * * [simplify]: iters left: 3 (477 enodes) 202.761 * * [simplify]: Extracting #0: cost 1 inf + 0 202.761 * * [simplify]: Extracting #1: cost 51 inf + 0 202.762 * * [simplify]: Extracting #2: cost 334 inf + 1 202.764 * * [simplify]: Extracting #3: cost 484 inf + 9 202.768 * * [simplify]: Extracting #4: cost 449 inf + 22571 202.789 * * [simplify]: Extracting #5: cost 152 inf + 135142 202.839 * * [simplify]: Extracting #6: cost 13 inf + 205791 202.890 * * [simplify]: Extracting #7: cost 0 inf + 216134 202.945 * * [simplify]: Extracting #8: cost 0 inf + 216001 202.983 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 202.983 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 202.983 * * * * [progress]: [ 249 / 425 ] simplifiying candidate # 202.983 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 202.984 * * [simplify]: iters left: 6 (20 enodes) 202.995 * * [simplify]: iters left: 5 (90 enodes) 203.013 * * [simplify]: iters left: 4 (165 enodes) 203.059 * * [simplify]: iters left: 3 (396 enodes) 203.258 * * [simplify]: Extracting #0: cost 1 inf + 0 203.258 * * [simplify]: Extracting #1: cost 65 inf + 0 203.260 * * [simplify]: Extracting #2: cost 275 inf + 1 203.262 * * [simplify]: Extracting #3: cost 285 inf + 2169 203.267 * * [simplify]: Extracting #4: cost 247 inf + 9049 203.274 * * [simplify]: Extracting #5: cost 159 inf + 37765 203.292 * * [simplify]: Extracting #6: cost 19 inf + 99615 203.326 * * [simplify]: Extracting #7: cost 0 inf + 107963 203.371 * * [simplify]: Extracting #8: cost 0 inf + 107961 203.393 * [simplify]: Simplified to (- (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n)))) (log (sqrt k))) 203.393 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n)))) (log (sqrt k))))) 203.393 * * * * [progress]: [ 250 / 425 ] simplifiying candidate # 203.394 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 203.394 * * [simplify]: iters left: 6 (20 enodes) 203.400 * * [simplify]: iters left: 5 (90 enodes) 203.415 * * [simplify]: iters left: 4 (165 enodes) 203.477 * * [simplify]: iters left: 3 (396 enodes) 203.668 * * [simplify]: Extracting #0: cost 1 inf + 0 203.668 * * [simplify]: Extracting #1: cost 65 inf + 0 203.670 * * [simplify]: Extracting #2: cost 275 inf + 1 203.672 * * [simplify]: Extracting #3: cost 285 inf + 2169 203.677 * * [simplify]: Extracting #4: cost 247 inf + 9049 203.688 * * [simplify]: Extracting #5: cost 159 inf + 37765 203.706 * * [simplify]: Extracting #6: cost 19 inf + 99615 203.736 * * [simplify]: Extracting #7: cost 0 inf + 107963 203.781 * * [simplify]: Extracting #8: cost 0 inf + 107961 203.803 * [simplify]: Simplified to (- (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n)))) (log (sqrt k))) 203.803 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (+ (log PI) (log 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (+ (log PI) (log 2)) 2) (log n)))) (log (sqrt k))))) 203.804 * * * * [progress]: [ 251 / 425 ] simplifiying candidate # 203.804 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 203.804 * * [simplify]: iters left: 6 (20 enodes) 203.810 * * [simplify]: iters left: 5 (91 enodes) 203.827 * * [simplify]: iters left: 4 (167 enodes) 203.881 * * [simplify]: iters left: 3 (438 enodes) 204.053 * * [simplify]: Extracting #0: cost 1 inf + 0 204.053 * * [simplify]: Extracting #1: cost 88 inf + 0 204.054 * * [simplify]: Extracting #2: cost 369 inf + 1 204.056 * * [simplify]: Extracting #3: cost 421 inf + 708 204.061 * * [simplify]: Extracting #4: cost 304 inf + 34915 204.093 * * [simplify]: Extracting #5: cost 63 inf + 134499 204.129 * * [simplify]: Extracting #6: cost 3 inf + 161776 204.163 * * [simplify]: Extracting #7: cost 0 inf + 163761 204.197 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2))))) 204.197 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (+ (log PI) (log 2))))))) 204.197 * * * * [progress]: [ 252 / 425 ] simplifiying candidate # 204.197 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 204.197 * * [simplify]: iters left: 6 (23 enodes) 204.204 * * [simplify]: iters left: 5 (99 enodes) 204.221 * * [simplify]: iters left: 4 (173 enodes) 204.268 * * [simplify]: iters left: 3 (393 enodes) 204.432 * * [simplify]: Extracting #0: cost 1 inf + 0 204.432 * * [simplify]: Extracting #1: cost 61 inf + 0 204.434 * * [simplify]: Extracting #2: cost 275 inf + 1 204.437 * * [simplify]: Extracting #3: cost 294 inf + 1726 204.443 * * [simplify]: Extracting #4: cost 227 inf + 18858 204.477 * * [simplify]: Extracting #5: cost 37 inf + 93301 204.525 * * [simplify]: Extracting #6: cost 0 inf + 106122 204.556 * * [simplify]: Extracting #7: cost 0 inf + 105923 204.583 * * [simplify]: Extracting #8: cost 0 inf + 105922 204.626 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 204.626 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 204.627 * * * * [progress]: [ 253 / 425 ] simplifiying candidate # 204.627 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 204.627 * * [simplify]: iters left: 6 (23 enodes) 204.641 * * [simplify]: iters left: 5 (99 enodes) 204.674 * * [simplify]: iters left: 4 (173 enodes) 204.745 * * [simplify]: iters left: 3 (393 enodes) 204.942 * * [simplify]: Extracting #0: cost 1 inf + 0 204.942 * * [simplify]: Extracting #1: cost 61 inf + 0 204.943 * * [simplify]: Extracting #2: cost 275 inf + 1 204.945 * * [simplify]: Extracting #3: cost 294 inf + 1726 204.948 * * [simplify]: Extracting #4: cost 227 inf + 18858 204.965 * * [simplify]: Extracting #5: cost 37 inf + 93301 205.012 * * [simplify]: Extracting #6: cost 0 inf + 106122 205.055 * * [simplify]: Extracting #7: cost 0 inf + 105923 205.097 * * [simplify]: Extracting #8: cost 0 inf + 105922 205.139 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 205.139 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 205.139 * * * * [progress]: [ 254 / 425 ] simplifiying candidate # 205.140 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 205.140 * * [simplify]: iters left: 6 (23 enodes) 205.154 * * [simplify]: iters left: 5 (100 enodes) 205.187 * * [simplify]: iters left: 4 (182 enodes) 205.232 * * [simplify]: iters left: 3 (442 enodes) 205.425 * * [simplify]: Extracting #0: cost 1 inf + 0 205.425 * * [simplify]: Extracting #1: cost 71 inf + 0 205.427 * * [simplify]: Extracting #2: cost 343 inf + 1 205.430 * * [simplify]: Extracting #3: cost 399 inf + 525 205.437 * * [simplify]: Extracting #4: cost 328 inf + 14483 205.460 * * [simplify]: Extracting #5: cost 69 inf + 112597 205.496 * * [simplify]: Extracting #6: cost 0 inf + 144455 205.531 * * [simplify]: Extracting #7: cost 0 inf + 144126 205.566 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 205.566 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 205.567 * * * * [progress]: [ 255 / 425 ] simplifiying candidate # 205.567 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 205.567 * * [simplify]: iters left: 6 (23 enodes) 205.575 * * [simplify]: iters left: 5 (99 enodes) 205.591 * * [simplify]: iters left: 4 (173 enodes) 205.645 * * [simplify]: iters left: 3 (393 enodes) 205.783 * * [simplify]: Extracting #0: cost 1 inf + 0 205.783 * * [simplify]: Extracting #1: cost 61 inf + 0 205.785 * * [simplify]: Extracting #2: cost 275 inf + 1 205.787 * * [simplify]: Extracting #3: cost 294 inf + 1726 205.794 * * [simplify]: Extracting #4: cost 227 inf + 18858 205.815 * * [simplify]: Extracting #5: cost 37 inf + 93301 205.849 * * [simplify]: Extracting #6: cost 0 inf + 106122 205.878 * * [simplify]: Extracting #7: cost 0 inf + 105923 205.909 * * [simplify]: Extracting #8: cost 0 inf + 105922 205.952 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 205.952 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 205.952 * * * * [progress]: [ 256 / 425 ] simplifiying candidate # 205.953 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 205.953 * * [simplify]: iters left: 6 (23 enodes) 205.967 * * [simplify]: iters left: 5 (99 enodes) 205.999 * * [simplify]: iters left: 4 (173 enodes) 206.059 * * [simplify]: iters left: 3 (393 enodes) 206.177 * * [simplify]: Extracting #0: cost 1 inf + 0 206.177 * * [simplify]: Extracting #1: cost 61 inf + 0 206.178 * * [simplify]: Extracting #2: cost 275 inf + 1 206.179 * * [simplify]: Extracting #3: cost 294 inf + 1726 206.185 * * [simplify]: Extracting #4: cost 227 inf + 18858 206.213 * * [simplify]: Extracting #5: cost 37 inf + 93301 206.237 * * [simplify]: Extracting #6: cost 0 inf + 106122 206.273 * * [simplify]: Extracting #7: cost 0 inf + 105923 206.317 * * [simplify]: Extracting #8: cost 0 inf + 105922 206.360 * [simplify]: Simplified to (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))) 206.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* PI 2)) 2))) (log (sqrt k)))))) 206.361 * * * * [progress]: [ 257 / 425 ] simplifiying candidate # 206.361 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 206.361 * * [simplify]: iters left: 6 (23 enodes) 206.375 * * [simplify]: iters left: 5 (100 enodes) 206.394 * * [simplify]: iters left: 4 (182 enodes) 206.454 * * [simplify]: iters left: 3 (442 enodes) 206.660 * * [simplify]: Extracting #0: cost 1 inf + 0 206.660 * * [simplify]: Extracting #1: cost 71 inf + 0 206.668 * * [simplify]: Extracting #2: cost 343 inf + 1 206.671 * * [simplify]: Extracting #3: cost 399 inf + 525 206.677 * * [simplify]: Extracting #4: cost 328 inf + 14483 206.695 * * [simplify]: Extracting #5: cost 69 inf + 112597 206.722 * * [simplify]: Extracting #6: cost 0 inf + 144455 206.778 * * [simplify]: Extracting #7: cost 0 inf + 144126 206.831 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))) 206.832 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* PI 2))))))) 206.832 * * * * [progress]: [ 258 / 425 ] simplifiying candidate # 206.832 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 206.832 * * [simplify]: iters left: 6 (23 enodes) 206.846 * * [simplify]: iters left: 5 (104 enodes) 206.881 * * [simplify]: iters left: 4 (199 enodes) 206.949 * * [simplify]: iters left: 3 (471 enodes) 207.161 * * [simplify]: Extracting #0: cost 1 inf + 0 207.161 * * [simplify]: Extracting #1: cost 77 inf + 0 207.162 * * [simplify]: Extracting #2: cost 339 inf + 1 207.164 * * [simplify]: Extracting #3: cost 384 inf + 1914 207.175 * * [simplify]: Extracting #4: cost 250 inf + 43821 207.203 * * [simplify]: Extracting #5: cost 53 inf + 118841 207.243 * * [simplify]: Extracting #6: cost 9 inf + 138860 207.305 * * [simplify]: Extracting #7: cost 0 inf + 143113 207.363 * * [simplify]: Extracting #8: cost 0 inf + 142844 207.421 * * [simplify]: Extracting #9: cost 0 inf + 142814 207.481 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 207.481 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 207.481 * * * * [progress]: [ 259 / 425 ] simplifiying candidate # 207.482 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 207.482 * * [simplify]: iters left: 6 (23 enodes) 207.495 * * [simplify]: iters left: 5 (104 enodes) 207.530 * * [simplify]: iters left: 4 (199 enodes) 207.621 * * [simplify]: iters left: 3 (471 enodes) 207.884 * * [simplify]: Extracting #0: cost 1 inf + 0 207.884 * * [simplify]: Extracting #1: cost 77 inf + 0 207.885 * * [simplify]: Extracting #2: cost 339 inf + 1 207.887 * * [simplify]: Extracting #3: cost 384 inf + 1914 207.895 * * [simplify]: Extracting #4: cost 250 inf + 43821 207.933 * * [simplify]: Extracting #5: cost 53 inf + 118841 207.987 * * [simplify]: Extracting #6: cost 9 inf + 138860 208.020 * * [simplify]: Extracting #7: cost 0 inf + 143113 208.066 * * [simplify]: Extracting #8: cost 0 inf + 142844 208.110 * * [simplify]: Extracting #9: cost 0 inf + 142814 208.169 * [simplify]: Simplified to (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))) 208.169 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* PI 2)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* PI 2)) 2) (log n)))) (log (sqrt k))))) 208.170 * * * * [progress]: [ 260 / 425 ] simplifiying candidate # 208.170 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 208.170 * * [simplify]: iters left: 6 (23 enodes) 208.185 * * [simplify]: iters left: 5 (105 enodes) 208.214 * * [simplify]: iters left: 4 (201 enodes) 208.272 * * [simplify]: Extracting #0: cost 1 inf + 0 208.272 * * [simplify]: Extracting #1: cost 23 inf + 0 208.273 * * [simplify]: Extracting #2: cost 117 inf + 0 208.273 * * [simplify]: Extracting #3: cost 167 inf + 75 208.274 * * [simplify]: Extracting #4: cost 154 inf + 1165 208.276 * * [simplify]: Extracting #5: cost 92 inf + 15851 208.292 * * [simplify]: Extracting #6: cost 8 inf + 49817 208.301 * * [simplify]: Extracting #7: cost 0 inf + 51964 208.310 * * [simplify]: Extracting #8: cost 0 inf + 51867 208.319 * * [simplify]: Extracting #9: cost 0 inf + 51851 208.335 * [simplify]: Simplified to (- (+ (+ (* (log (* PI 2)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))) 208.335 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (+ (* (log (* PI 2)) (+ (- 1/4 (/ k 4)) (- 1/4 (/ k 4)))) (* (- 1/4 (/ k 4)) (log n))) (* (- 1/4 (/ k 4)) (log n))) (log (sqrt k))))) 208.335 * * * * [progress]: [ 261 / 425 ] simplifiying candidate # 208.336 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 208.336 * * [simplify]: iters left: 6 (22 enodes) 208.349 * * [simplify]: iters left: 5 (99 enodes) 208.382 * * [simplify]: iters left: 4 (195 enodes) 208.461 * * [simplify]: Extracting #0: cost 1 inf + 0 208.461 * * [simplify]: Extracting #1: cost 22 inf + 0 208.462 * * [simplify]: Extracting #2: cost 103 inf + 0 208.462 * * [simplify]: Extracting #3: cost 150 inf + 75 208.463 * * [simplify]: Extracting #4: cost 163 inf + 846 208.466 * * [simplify]: Extracting #5: cost 72 inf + 24584 208.473 * * [simplify]: Extracting #6: cost 13 inf + 49183 208.481 * * [simplify]: Extracting #7: cost 0 inf + 55431 208.495 * * [simplify]: Extracting #8: cost 0 inf + 55291 208.513 * [simplify]: Simplified to (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))) 208.513 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* PI 2)) (/ (- 1 k) 4)) (fma (/ (- 1 k) 2) (log n) (- (* (log (* PI 2)) (/ (- 1 k) 4)) (log (sqrt k))))))) 208.513 * * * * [progress]: [ 262 / 425 ] simplifiying candidate # 208.513 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 208.513 * * [simplify]: iters left: 6 (23 enodes) 208.521 * * [simplify]: iters left: 5 (96 enodes) 208.537 * * [simplify]: iters left: 4 (168 enodes) 208.604 * * [simplify]: iters left: 3 (397 enodes) 208.776 * * [simplify]: Extracting #0: cost 1 inf + 0 208.776 * * [simplify]: Extracting #1: cost 72 inf + 0 208.778 * * [simplify]: Extracting #2: cost 288 inf + 1 208.781 * * [simplify]: Extracting #3: cost 297 inf + 3374 208.791 * * [simplify]: Extracting #4: cost 206 inf + 27119 208.827 * * [simplify]: Extracting #5: cost 50 inf + 88191 208.868 * * [simplify]: Extracting #6: cost 0 inf + 112055 208.891 * * [simplify]: Extracting #7: cost 0 inf + 112021 208.926 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 208.926 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 208.926 * * * * [progress]: [ 263 / 425 ] simplifiying candidate # 208.927 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 208.927 * * [simplify]: iters left: 6 (23 enodes) 208.934 * * [simplify]: iters left: 5 (96 enodes) 208.952 * * [simplify]: iters left: 4 (168 enodes) 208.999 * * [simplify]: iters left: 3 (397 enodes) 209.176 * * [simplify]: Extracting #0: cost 1 inf + 0 209.176 * * [simplify]: Extracting #1: cost 72 inf + 0 209.177 * * [simplify]: Extracting #2: cost 288 inf + 1 209.179 * * [simplify]: Extracting #3: cost 297 inf + 3374 209.184 * * [simplify]: Extracting #4: cost 206 inf + 27119 209.199 * * [simplify]: Extracting #5: cost 50 inf + 88191 209.247 * * [simplify]: Extracting #6: cost 0 inf + 112055 209.278 * * [simplify]: Extracting #7: cost 0 inf + 112021 209.310 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 209.310 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 209.310 * * * * [progress]: [ 264 / 425 ] simplifiying candidate # 209.311 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 209.311 * * [simplify]: iters left: 6 (23 enodes) 209.323 * * [simplify]: iters left: 5 (97 enodes) 209.340 * * [simplify]: iters left: 4 (170 enodes) 209.405 * * [simplify]: iters left: 3 (434 enodes) 209.599 * * [simplify]: Extracting #0: cost 1 inf + 0 209.599 * * [simplify]: Extracting #1: cost 76 inf + 0 209.601 * * [simplify]: Extracting #2: cost 342 inf + 1 209.605 * * [simplify]: Extracting #3: cost 399 inf + 302 209.614 * * [simplify]: Extracting #4: cost 306 inf + 23917 209.639 * * [simplify]: Extracting #5: cost 60 inf + 119042 209.678 * * [simplify]: Extracting #6: cost 5 inf + 139844 209.721 * * [simplify]: Extracting #7: cost 0 inf + 142751 209.751 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 209.751 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 209.751 * * * * [progress]: [ 265 / 425 ] simplifiying candidate # 209.752 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 209.752 * * [simplify]: iters left: 6 (19 enodes) 209.764 * * [simplify]: iters left: 5 (90 enodes) 209.783 * * [simplify]: iters left: 4 (168 enodes) 209.831 * * [simplify]: iters left: 3 (346 enodes) 209.945 * * [simplify]: Extracting #0: cost 1 inf + 0 209.945 * * [simplify]: Extracting #1: cost 60 inf + 0 209.946 * * [simplify]: Extracting #2: cost 213 inf + 1 209.949 * * [simplify]: Extracting #3: cost 226 inf + 2345 209.955 * * [simplify]: Extracting #4: cost 160 inf + 16130 209.976 * * [simplify]: Extracting #5: cost 41 inf + 59636 209.992 * * [simplify]: Extracting #6: cost 0 inf + 77967 210.011 * * [simplify]: Extracting #7: cost 0 inf + 77935 210.042 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 210.042 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 210.042 * * * * [progress]: [ 266 / 425 ] simplifiying candidate # 210.043 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 210.043 * * [simplify]: iters left: 6 (19 enodes) 210.054 * * [simplify]: iters left: 5 (90 enodes) 210.087 * * [simplify]: iters left: 4 (168 enodes) 210.148 * * [simplify]: iters left: 3 (346 enodes) 210.298 * * [simplify]: Extracting #0: cost 1 inf + 0 210.298 * * [simplify]: Extracting #1: cost 60 inf + 0 210.299 * * [simplify]: Extracting #2: cost 213 inf + 1 210.300 * * [simplify]: Extracting #3: cost 226 inf + 2345 210.307 * * [simplify]: Extracting #4: cost 160 inf + 16130 210.318 * * [simplify]: Extracting #5: cost 41 inf + 59636 210.338 * * [simplify]: Extracting #6: cost 0 inf + 77967 210.363 * * [simplify]: Extracting #7: cost 0 inf + 77935 210.379 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 210.379 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 210.379 * * * * [progress]: [ 267 / 425 ] simplifiying candidate # 210.379 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 210.379 * * [simplify]: iters left: 6 (19 enodes) 210.391 * * [simplify]: iters left: 5 (91 enodes) 210.426 * * [simplify]: iters left: 4 (170 enodes) 210.494 * * [simplify]: iters left: 3 (388 enodes) 210.653 * * [simplify]: Extracting #0: cost 1 inf + 0 210.653 * * [simplify]: Extracting #1: cost 68 inf + 0 210.655 * * [simplify]: Extracting #2: cost 277 inf + 1 210.657 * * [simplify]: Extracting #3: cost 336 inf + 414 210.662 * * [simplify]: Extracting #4: cost 275 inf + 11464 210.686 * * [simplify]: Extracting #5: cost 89 inf + 73402 210.729 * * [simplify]: Extracting #6: cost 4 inf + 114960 210.773 * * [simplify]: Extracting #7: cost 0 inf + 116733 210.820 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) 210.820 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))))) 210.820 * * * * [progress]: [ 268 / 425 ] simplifiying candidate # 210.820 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 210.820 * * [simplify]: iters left: 6 (19 enodes) 210.832 * * [simplify]: iters left: 5 (90 enodes) 210.854 * * [simplify]: iters left: 4 (168 enodes) 210.888 * * [simplify]: iters left: 3 (346 enodes) 210.985 * * [simplify]: Extracting #0: cost 1 inf + 0 210.985 * * [simplify]: Extracting #1: cost 60 inf + 0 210.986 * * [simplify]: Extracting #2: cost 213 inf + 1 210.987 * * [simplify]: Extracting #3: cost 226 inf + 2345 210.990 * * [simplify]: Extracting #4: cost 160 inf + 16130 211.000 * * [simplify]: Extracting #5: cost 41 inf + 59636 211.015 * * [simplify]: Extracting #6: cost 0 inf + 77967 211.031 * * [simplify]: Extracting #7: cost 0 inf + 77935 211.064 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 211.064 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 211.064 * * * * [progress]: [ 269 / 425 ] simplifiying candidate # 211.065 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 211.065 * * [simplify]: iters left: 6 (19 enodes) 211.076 * * [simplify]: iters left: 5 (90 enodes) 211.107 * * [simplify]: iters left: 4 (168 enodes) 211.172 * * [simplify]: iters left: 3 (346 enodes) 211.336 * * [simplify]: Extracting #0: cost 1 inf + 0 211.336 * * [simplify]: Extracting #1: cost 60 inf + 0 211.338 * * [simplify]: Extracting #2: cost 213 inf + 1 211.340 * * [simplify]: Extracting #3: cost 226 inf + 2345 211.346 * * [simplify]: Extracting #4: cost 160 inf + 16130 211.366 * * [simplify]: Extracting #5: cost 41 inf + 59636 211.392 * * [simplify]: Extracting #6: cost 0 inf + 77967 211.408 * * [simplify]: Extracting #7: cost 0 inf + 77935 211.428 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 211.428 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 211.428 * * * * [progress]: [ 270 / 425 ] simplifiying candidate # 211.429 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 211.429 * * [simplify]: iters left: 6 (19 enodes) 211.443 * * [simplify]: iters left: 5 (91 enodes) 211.463 * * [simplify]: iters left: 4 (170 enodes) 211.505 * * [simplify]: iters left: 3 (388 enodes) 211.670 * * [simplify]: Extracting #0: cost 1 inf + 0 211.670 * * [simplify]: Extracting #1: cost 68 inf + 0 211.671 * * [simplify]: Extracting #2: cost 277 inf + 1 211.672 * * [simplify]: Extracting #3: cost 336 inf + 414 211.675 * * [simplify]: Extracting #4: cost 275 inf + 11464 211.688 * * [simplify]: Extracting #5: cost 89 inf + 73402 211.717 * * [simplify]: Extracting #6: cost 4 inf + 114960 211.751 * * [simplify]: Extracting #7: cost 0 inf + 116733 211.781 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) 211.781 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))))) 211.781 * * * * [progress]: [ 271 / 425 ] simplifiying candidate # 211.782 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 211.782 * * [simplify]: iters left: 6 (21 enodes) 211.788 * * [simplify]: iters left: 5 (98 enodes) 211.816 * * [simplify]: iters left: 4 (198 enodes) 211.881 * * [simplify]: iters left: 3 (444 enodes) 212.055 * * [simplify]: Extracting #0: cost 1 inf + 0 212.055 * * [simplify]: Extracting #1: cost 64 inf + 0 212.056 * * [simplify]: Extracting #2: cost 311 inf + 1 212.058 * * [simplify]: Extracting #3: cost 356 inf + 3347 212.066 * * [simplify]: Extracting #4: cost 207 inf + 48228 212.099 * * [simplify]: Extracting #5: cost 23 inf + 120498 212.140 * * [simplify]: Extracting #6: cost 8 inf + 125784 212.175 * * [simplify]: Extracting #7: cost 0 inf + 130439 212.216 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 212.216 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 212.216 * * * * [progress]: [ 272 / 425 ] simplifiying candidate # 212.216 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 212.216 * * [simplify]: iters left: 6 (21 enodes) 212.223 * * [simplify]: iters left: 5 (98 enodes) 212.244 * * [simplify]: iters left: 4 (198 enodes) 212.328 * * [simplify]: iters left: 3 (444 enodes) 212.495 * * [simplify]: Extracting #0: cost 1 inf + 0 212.495 * * [simplify]: Extracting #1: cost 64 inf + 0 212.496 * * [simplify]: Extracting #2: cost 311 inf + 1 212.499 * * [simplify]: Extracting #3: cost 356 inf + 3347 212.515 * * [simplify]: Extracting #4: cost 207 inf + 48228 212.558 * * [simplify]: Extracting #5: cost 23 inf + 120498 212.589 * * [simplify]: Extracting #6: cost 8 inf + 125784 212.637 * * [simplify]: Extracting #7: cost 0 inf + 130439 212.664 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 212.664 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 212.664 * * * * [progress]: [ 273 / 425 ] simplifiying candidate # 212.664 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 212.665 * * [simplify]: iters left: 6 (21 enodes) 212.671 * * [simplify]: iters left: 5 (99 enodes) 212.688 * * [simplify]: iters left: 4 (199 enodes) 212.744 * * [simplify]: iters left: 3 (464 enodes) 212.944 * * [simplify]: Extracting #0: cost 1 inf + 0 212.944 * * [simplify]: Extracting #1: cost 71 inf + 0 212.946 * * [simplify]: Extracting #2: cost 373 inf + 1 212.948 * * [simplify]: Extracting #3: cost 449 inf + 374 212.953 * * [simplify]: Extracting #4: cost 344 inf + 27647 212.982 * * [simplify]: Extracting #5: cost 70 inf + 130024 213.042 * * [simplify]: Extracting #6: cost 2 inf + 162605 213.079 * * [simplify]: Extracting #7: cost 0 inf + 163378 213.122 * * [simplify]: Extracting #8: cost 0 inf + 163333 213.155 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 213.155 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 213.155 * * * * [progress]: [ 274 / 425 ] simplifiying candidate # 213.155 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 213.156 * * [simplify]: iters left: 6 (20 enodes) 213.167 * * [simplify]: iters left: 5 (95 enodes) 213.191 * * [simplify]: iters left: 4 (195 enodes) 213.246 * * [simplify]: Extracting #0: cost 1 inf + 0 213.246 * * [simplify]: Extracting #1: cost 19 inf + 0 213.247 * * [simplify]: Extracting #2: cost 94 inf + 0 213.247 * * [simplify]: Extracting #3: cost 153 inf + 4 213.248 * * [simplify]: Extracting #4: cost 157 inf + 818 213.253 * * [simplify]: Extracting #5: cost 76 inf + 20170 213.267 * * [simplify]: Extracting #6: cost 6 inf + 49875 213.279 * * [simplify]: Extracting #7: cost 0 inf + 53042 213.287 * [simplify]: Simplified to (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n)))) (log (sqrt k))) 213.288 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n)))) (log (sqrt k))))) 213.288 * * * * [progress]: [ 275 / 425 ] simplifiying candidate # 213.288 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 213.288 * * [simplify]: iters left: 6 (23 enodes) 213.297 * * [simplify]: iters left: 5 (96 enodes) 213.316 * * [simplify]: iters left: 4 (168 enodes) 213.362 * * [simplify]: iters left: 3 (397 enodes) 213.534 * * [simplify]: Extracting #0: cost 1 inf + 0 213.534 * * [simplify]: Extracting #1: cost 72 inf + 0 213.535 * * [simplify]: Extracting #2: cost 288 inf + 1 213.537 * * [simplify]: Extracting #3: cost 297 inf + 3374 213.542 * * [simplify]: Extracting #4: cost 206 inf + 27119 213.558 * * [simplify]: Extracting #5: cost 50 inf + 88191 213.597 * * [simplify]: Extracting #6: cost 0 inf + 112055 213.620 * * [simplify]: Extracting #7: cost 0 inf + 112021 213.656 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 213.657 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 213.657 * * * * [progress]: [ 276 / 425 ] simplifiying candidate # 213.657 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 213.657 * * [simplify]: iters left: 6 (23 enodes) 213.665 * * [simplify]: iters left: 5 (96 enodes) 213.683 * * [simplify]: iters left: 4 (168 enodes) 213.742 * * [simplify]: iters left: 3 (397 enodes) 213.893 * * [simplify]: Extracting #0: cost 1 inf + 0 213.894 * * [simplify]: Extracting #1: cost 72 inf + 0 213.895 * * [simplify]: Extracting #2: cost 288 inf + 1 213.897 * * [simplify]: Extracting #3: cost 297 inf + 3374 213.907 * * [simplify]: Extracting #4: cost 206 inf + 27119 213.938 * * [simplify]: Extracting #5: cost 50 inf + 88191 213.967 * * [simplify]: Extracting #6: cost 0 inf + 112055 214.005 * * [simplify]: Extracting #7: cost 0 inf + 112021 214.028 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))) 214.028 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n))) (log (sqrt k)))))) 214.028 * * * * [progress]: [ 277 / 425 ] simplifiying candidate # 214.028 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 214.028 * * [simplify]: iters left: 6 (23 enodes) 214.035 * * [simplify]: iters left: 5 (97 enodes) 214.067 * * [simplify]: iters left: 4 (170 enodes) 214.126 * * [simplify]: iters left: 3 (434 enodes) 214.367 * * [simplify]: Extracting #0: cost 1 inf + 0 214.367 * * [simplify]: Extracting #1: cost 76 inf + 0 214.369 * * [simplify]: Extracting #2: cost 342 inf + 1 214.373 * * [simplify]: Extracting #3: cost 399 inf + 302 214.381 * * [simplify]: Extracting #4: cost 306 inf + 23917 214.403 * * [simplify]: Extracting #5: cost 60 inf + 119042 214.451 * * [simplify]: Extracting #6: cost 5 inf + 139844 214.495 * * [simplify]: Extracting #7: cost 0 inf + 142751 214.529 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))) 214.529 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2)))) (log (sqrt k))))) 214.530 * * * * [progress]: [ 278 / 425 ] simplifiying candidate # 214.530 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.530 * * [simplify]: iters left: 6 (19 enodes) 214.543 * * [simplify]: iters left: 5 (90 enodes) 214.561 * * [simplify]: iters left: 4 (168 enodes) 214.611 * * [simplify]: iters left: 3 (346 enodes) 214.721 * * [simplify]: Extracting #0: cost 1 inf + 0 214.721 * * [simplify]: Extracting #1: cost 60 inf + 0 214.722 * * [simplify]: Extracting #2: cost 213 inf + 1 214.725 * * [simplify]: Extracting #3: cost 226 inf + 2345 214.735 * * [simplify]: Extracting #4: cost 160 inf + 16130 214.756 * * [simplify]: Extracting #5: cost 41 inf + 59636 214.787 * * [simplify]: Extracting #6: cost 0 inf + 77967 214.819 * * [simplify]: Extracting #7: cost 0 inf + 77935 214.840 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 214.840 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 214.840 * * * * [progress]: [ 279 / 425 ] simplifiying candidate # 214.840 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 214.840 * * [simplify]: iters left: 6 (19 enodes) 214.846 * * [simplify]: iters left: 5 (90 enodes) 214.869 * * [simplify]: iters left: 4 (168 enodes) 214.934 * * [simplify]: iters left: 3 (346 enodes) 215.029 * * [simplify]: Extracting #0: cost 1 inf + 0 215.029 * * [simplify]: Extracting #1: cost 60 inf + 0 215.030 * * [simplify]: Extracting #2: cost 213 inf + 1 215.031 * * [simplify]: Extracting #3: cost 226 inf + 2345 215.037 * * [simplify]: Extracting #4: cost 160 inf + 16130 215.056 * * [simplify]: Extracting #5: cost 41 inf + 59636 215.076 * * [simplify]: Extracting #6: cost 0 inf + 77967 215.096 * * [simplify]: Extracting #7: cost 0 inf + 77935 215.112 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 215.112 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 215.113 * * * * [progress]: [ 280 / 425 ] simplifiying candidate # 215.113 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 215.113 * * [simplify]: iters left: 6 (19 enodes) 215.121 * * [simplify]: iters left: 5 (91 enodes) 215.141 * * [simplify]: iters left: 4 (170 enodes) 215.191 * * [simplify]: iters left: 3 (388 enodes) 215.359 * * [simplify]: Extracting #0: cost 1 inf + 0 215.359 * * [simplify]: Extracting #1: cost 68 inf + 0 215.361 * * [simplify]: Extracting #2: cost 277 inf + 1 215.363 * * [simplify]: Extracting #3: cost 336 inf + 414 215.370 * * [simplify]: Extracting #4: cost 275 inf + 11464 215.383 * * [simplify]: Extracting #5: cost 89 inf + 73402 215.404 * * [simplify]: Extracting #6: cost 4 inf + 114960 215.441 * * [simplify]: Extracting #7: cost 0 inf + 116733 215.473 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) 215.474 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))))) 215.474 * * * * [progress]: [ 281 / 425 ] simplifiying candidate # 215.474 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 215.474 * * [simplify]: iters left: 6 (19 enodes) 215.480 * * [simplify]: iters left: 5 (90 enodes) 215.498 * * [simplify]: iters left: 4 (168 enodes) 215.561 * * [simplify]: iters left: 3 (346 enodes) 215.680 * * [simplify]: Extracting #0: cost 1 inf + 0 215.680 * * [simplify]: Extracting #1: cost 60 inf + 0 215.681 * * [simplify]: Extracting #2: cost 213 inf + 1 215.682 * * [simplify]: Extracting #3: cost 226 inf + 2345 215.686 * * [simplify]: Extracting #4: cost 160 inf + 16130 215.705 * * [simplify]: Extracting #5: cost 41 inf + 59636 215.720 * * [simplify]: Extracting #6: cost 0 inf + 77967 215.740 * * [simplify]: Extracting #7: cost 0 inf + 77935 215.766 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 215.766 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 215.766 * * * * [progress]: [ 282 / 425 ] simplifiying candidate # 215.767 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 215.767 * * [simplify]: iters left: 6 (19 enodes) 215.775 * * [simplify]: iters left: 5 (90 enodes) 215.792 * * [simplify]: iters left: 4 (168 enodes) 215.838 * * [simplify]: iters left: 3 (346 enodes) 215.939 * * [simplify]: Extracting #0: cost 1 inf + 0 215.939 * * [simplify]: Extracting #1: cost 60 inf + 0 215.940 * * [simplify]: Extracting #2: cost 213 inf + 1 215.941 * * [simplify]: Extracting #3: cost 226 inf + 2345 215.947 * * [simplify]: Extracting #4: cost 160 inf + 16130 215.957 * * [simplify]: Extracting #5: cost 41 inf + 59636 215.984 * * [simplify]: Extracting #6: cost 0 inf + 77967 216.016 * * [simplify]: Extracting #7: cost 0 inf + 77935 216.048 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 216.048 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 216.048 * * * * [progress]: [ 283 / 425 ] simplifiying candidate # 216.049 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 216.049 * * [simplify]: iters left: 6 (19 enodes) 216.060 * * [simplify]: iters left: 5 (91 enodes) 216.094 * * [simplify]: iters left: 4 (170 enodes) 216.160 * * [simplify]: iters left: 3 (388 enodes) 216.313 * * [simplify]: Extracting #0: cost 1 inf + 0 216.313 * * [simplify]: Extracting #1: cost 68 inf + 0 216.314 * * [simplify]: Extracting #2: cost 277 inf + 1 216.316 * * [simplify]: Extracting #3: cost 336 inf + 414 216.320 * * [simplify]: Extracting #4: cost 275 inf + 11464 216.344 * * [simplify]: Extracting #5: cost 89 inf + 73402 216.367 * * [simplify]: Extracting #6: cost 4 inf + 114960 216.407 * * [simplify]: Extracting #7: cost 0 inf + 116733 216.455 * [simplify]: Simplified to (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))) 216.456 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (- 1/4 (/ k 4)) (+ (log n) (log (* 2 PI))))))) 216.456 * * * * [progress]: [ 284 / 425 ] simplifiying candidate # 216.456 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 216.456 * * [simplify]: iters left: 6 (21 enodes) 216.470 * * [simplify]: iters left: 5 (98 enodes) 216.493 * * [simplify]: iters left: 4 (198 enodes) 216.559 * * [simplify]: iters left: 3 (444 enodes) 216.752 * * [simplify]: Extracting #0: cost 1 inf + 0 216.752 * * [simplify]: Extracting #1: cost 64 inf + 0 216.753 * * [simplify]: Extracting #2: cost 311 inf + 1 216.755 * * [simplify]: Extracting #3: cost 356 inf + 3347 216.763 * * [simplify]: Extracting #4: cost 207 inf + 48228 216.802 * * [simplify]: Extracting #5: cost 23 inf + 120498 216.835 * * [simplify]: Extracting #6: cost 8 inf + 125784 216.868 * * [simplify]: Extracting #7: cost 0 inf + 130439 216.911 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 216.911 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 216.911 * * * * [progress]: [ 285 / 425 ] simplifiying candidate # 216.912 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 216.912 * * [simplify]: iters left: 6 (21 enodes) 216.918 * * [simplify]: iters left: 5 (98 enodes) 216.938 * * [simplify]: iters left: 4 (198 enodes) 217.000 * * [simplify]: iters left: 3 (444 enodes) 217.242 * * [simplify]: Extracting #0: cost 1 inf + 0 217.243 * * [simplify]: Extracting #1: cost 64 inf + 0 217.244 * * [simplify]: Extracting #2: cost 311 inf + 1 217.248 * * [simplify]: Extracting #3: cost 356 inf + 3347 217.258 * * [simplify]: Extracting #4: cost 207 inf + 48228 217.289 * * [simplify]: Extracting #5: cost 23 inf + 120498 217.329 * * [simplify]: Extracting #6: cost 8 inf + 125784 217.382 * * [simplify]: Extracting #7: cost 0 inf + 130439 217.437 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 217.437 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 217.437 * * * * [progress]: [ 286 / 425 ] simplifiying candidate # 217.437 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 217.438 * * [simplify]: iters left: 6 (21 enodes) 217.450 * * [simplify]: iters left: 5 (99 enodes) 217.482 * * [simplify]: iters left: 4 (199 enodes) 217.568 * * [simplify]: iters left: 3 (464 enodes) 217.783 * * [simplify]: Extracting #0: cost 1 inf + 0 217.783 * * [simplify]: Extracting #1: cost 71 inf + 0 217.784 * * [simplify]: Extracting #2: cost 373 inf + 1 217.786 * * [simplify]: Extracting #3: cost 449 inf + 374 217.791 * * [simplify]: Extracting #4: cost 344 inf + 27647 217.831 * * [simplify]: Extracting #5: cost 70 inf + 130024 217.900 * * [simplify]: Extracting #6: cost 2 inf + 162605 217.937 * * [simplify]: Extracting #7: cost 0 inf + 163378 217.982 * * [simplify]: Extracting #8: cost 0 inf + 163333 218.029 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 218.029 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 218.029 * * * * [progress]: [ 287 / 425 ] simplifiying candidate # 218.029 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 218.029 * * [simplify]: iters left: 6 (20 enodes) 218.037 * * [simplify]: iters left: 5 (95 enodes) 218.054 * * [simplify]: iters left: 4 (195 enodes) 218.128 * * [simplify]: Extracting #0: cost 1 inf + 0 218.128 * * [simplify]: Extracting #1: cost 19 inf + 0 218.128 * * [simplify]: Extracting #2: cost 94 inf + 0 218.129 * * [simplify]: Extracting #3: cost 153 inf + 4 218.130 * * [simplify]: Extracting #4: cost 157 inf + 818 218.135 * * [simplify]: Extracting #5: cost 76 inf + 20170 218.148 * * [simplify]: Extracting #6: cost 6 inf + 49875 218.164 * * [simplify]: Extracting #7: cost 0 inf + 53042 218.172 * [simplify]: Simplified to (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n)))) (log (sqrt k))) 218.172 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (- 1 k) 4) (log (* 2 PI)) (fma (/ (- 1 k) 4) (log (* 2 PI)) (* (/ (- 1 k) 2) (log n)))) (log (sqrt k))))) 218.172 * * * * [progress]: [ 288 / 425 ] simplifiying candidate # 218.172 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 218.172 * * [simplify]: iters left: 6 (23 enodes) 218.179 * * [simplify]: iters left: 5 (105 enodes) 218.200 * * [simplify]: iters left: 4 (203 enodes) 218.276 * * [simplify]: Extracting #0: cost 1 inf + 0 218.276 * * [simplify]: Extracting #1: cost 21 inf + 0 218.276 * * [simplify]: Extracting #2: cost 111 inf + 0 218.277 * * [simplify]: Extracting #3: cost 148 inf + 4 218.277 * * [simplify]: Extracting #4: cost 135 inf + 1067 218.280 * * [simplify]: Extracting #5: cost 73 inf + 15825 218.289 * * [simplify]: Extracting #6: cost 8 inf + 39299 218.297 * * [simplify]: Extracting #7: cost 0 inf + 42414 218.305 * * [simplify]: Extracting #8: cost 0 inf + 42384 218.321 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (fma (log n) (- 1/2 (/ k 2)) (/ (* (- 1 k) (log (* 2 PI))) 4)) (log (sqrt k)))) 218.321 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (fma (log n) (- 1/2 (/ k 2)) (/ (* (- 1 k) (log (* 2 PI))) 4)) (log (sqrt k)))))) 218.321 * * * * [progress]: [ 289 / 425 ] simplifiying candidate # 218.322 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 218.322 * * [simplify]: iters left: 6 (23 enodes) 218.334 * * [simplify]: iters left: 5 (105 enodes) 218.369 * * [simplify]: iters left: 4 (203 enodes) 218.458 * * [simplify]: Extracting #0: cost 1 inf + 0 218.458 * * [simplify]: Extracting #1: cost 21 inf + 0 218.458 * * [simplify]: Extracting #2: cost 111 inf + 0 218.459 * * [simplify]: Extracting #3: cost 148 inf + 4 218.459 * * [simplify]: Extracting #4: cost 135 inf + 1067 218.462 * * [simplify]: Extracting #5: cost 73 inf + 15825 218.468 * * [simplify]: Extracting #6: cost 8 inf + 39299 218.477 * * [simplify]: Extracting #7: cost 0 inf + 42414 218.494 * * [simplify]: Extracting #8: cost 0 inf + 42384 218.507 * [simplify]: Simplified to (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (fma (log n) (- 1/2 (/ k 2)) (/ (* (- 1 k) (log (* 2 PI))) 4)) (log (sqrt k)))) 218.507 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (/ (* (- 1 k) (log (* 2 PI))) 4) (- (fma (log n) (- 1/2 (/ k 2)) (/ (* (- 1 k) (log (* 2 PI))) 4)) (log (sqrt k)))))) 218.507 * * * * [progress]: [ 290 / 425 ] simplifiying candidate # 218.507 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 218.508 * * [simplify]: iters left: 6 (23 enodes) 218.517 * * [simplify]: iters left: 5 (106 enodes) 218.535 * * [simplify]: iters left: 4 (204 enodes) 218.584 * * [simplify]: Extracting #0: cost 1 inf + 0 218.584 * * [simplify]: Extracting #1: cost 21 inf + 0 218.585 * * [simplify]: Extracting #2: cost 112 inf + 0 218.589 * * [simplify]: Extracting #3: cost 163 inf + 4 218.590 * * [simplify]: Extracting #4: cost 148 inf + 1161 218.595 * * [simplify]: Extracting #5: cost 84 inf + 16920 218.608 * * [simplify]: Extracting #6: cost 14 inf + 42527 218.619 * * [simplify]: Extracting #7: cost 0 inf + 49119 218.628 * * [simplify]: Extracting #8: cost 0 inf + 49041 218.637 * [simplify]: Simplified to (+ (fma (- 1/2 (/ k 2)) (log n) (/ (* (- 1 k) (log (* 2 PI))) 4)) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))) 218.637 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (fma (- 1/2 (/ k 2)) (log n) (/ (* (- 1 k) (log (* 2 PI))) 4)) (- (/ (* (- 1 k) (log (* 2 PI))) 4) (log (sqrt k)))))) 218.637 * * * * [progress]: [ 291 / 425 ] simplifiying candidate # 218.637 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 218.638 * * [simplify]: iters left: 6 (21 enodes) 218.644 * * [simplify]: iters left: 5 (99 enodes) 218.673 * * [simplify]: iters left: 4 (202 enodes) 218.721 * * [simplify]: iters left: 3 (434 enodes) 218.884 * * [simplify]: Extracting #0: cost 1 inf + 0 218.884 * * [simplify]: Extracting #1: cost 69 inf + 0 218.885 * * [simplify]: Extracting #2: cost 282 inf + 1 218.887 * * [simplify]: Extracting #3: cost 330 inf + 1415 218.890 * * [simplify]: Extracting #4: cost 267 inf + 18583 218.906 * * [simplify]: Extracting #5: cost 71 inf + 90186 218.942 * * [simplify]: Extracting #6: cost 1 inf + 123245 218.970 * * [simplify]: Extracting #7: cost 0 inf + 122437 219.002 * * [simplify]: Extracting #8: cost 0 inf + 122436 219.051 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 219.051 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 219.051 * * * * [progress]: [ 292 / 425 ] simplifiying candidate # 219.051 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 219.052 * * [simplify]: iters left: 6 (21 enodes) 219.064 * * [simplify]: iters left: 5 (99 enodes) 219.095 * * [simplify]: iters left: 4 (202 enodes) 219.163 * * [simplify]: iters left: 3 (434 enodes) 219.300 * * [simplify]: Extracting #0: cost 1 inf + 0 219.301 * * [simplify]: Extracting #1: cost 69 inf + 0 219.302 * * [simplify]: Extracting #2: cost 282 inf + 1 219.303 * * [simplify]: Extracting #3: cost 330 inf + 1415 219.307 * * [simplify]: Extracting #4: cost 267 inf + 18583 219.326 * * [simplify]: Extracting #5: cost 71 inf + 90186 219.353 * * [simplify]: Extracting #6: cost 1 inf + 123245 219.382 * * [simplify]: Extracting #7: cost 0 inf + 122437 219.408 * * [simplify]: Extracting #8: cost 0 inf + 122436 219.435 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 219.435 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 219.436 * * * * [progress]: [ 293 / 425 ] simplifiying candidate # 219.436 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 219.436 * * [simplify]: iters left: 6 (21 enodes) 219.443 * * [simplify]: iters left: 5 (100 enodes) 219.460 * * [simplify]: iters left: 4 (203 enodes) 219.534 * * [simplify]: iters left: 3 (467 enodes) 219.732 * * [simplify]: Extracting #0: cost 1 inf + 0 219.733 * * [simplify]: Extracting #1: cost 78 inf + 0 219.735 * * [simplify]: Extracting #2: cost 366 inf + 1 219.738 * * [simplify]: Extracting #3: cost 430 inf + 668 219.751 * * [simplify]: Extracting #4: cost 320 inf + 33293 219.806 * * [simplify]: Extracting #5: cost 51 inf + 137976 219.868 * * [simplify]: Extracting #6: cost 4 inf + 160797 219.931 * * [simplify]: Extracting #7: cost 0 inf + 162603 219.991 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 219.992 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 219.992 * * * * [progress]: [ 294 / 425 ] simplifiying candidate # 219.992 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 219.992 * * [simplify]: iters left: 6 (21 enodes) 219.999 * * [simplify]: iters left: 5 (99 enodes) 220.022 * * [simplify]: iters left: 4 (202 enodes) 220.079 * * [simplify]: iters left: 3 (434 enodes) 220.274 * * [simplify]: Extracting #0: cost 1 inf + 0 220.274 * * [simplify]: Extracting #1: cost 69 inf + 0 220.276 * * [simplify]: Extracting #2: cost 282 inf + 1 220.279 * * [simplify]: Extracting #3: cost 330 inf + 1415 220.287 * * [simplify]: Extracting #4: cost 267 inf + 18583 220.311 * * [simplify]: Extracting #5: cost 71 inf + 90186 220.336 * * [simplify]: Extracting #6: cost 1 inf + 123245 220.377 * * [simplify]: Extracting #7: cost 0 inf + 122437 220.409 * * [simplify]: Extracting #8: cost 0 inf + 122436 220.458 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 220.458 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 220.459 * * * * [progress]: [ 295 / 425 ] simplifiying candidate # 220.459 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 220.459 * * [simplify]: iters left: 6 (21 enodes) 220.467 * * [simplify]: iters left: 5 (99 enodes) 220.486 * * [simplify]: iters left: 4 (202 enodes) 220.567 * * [simplify]: iters left: 3 (434 enodes) 220.725 * * [simplify]: Extracting #0: cost 1 inf + 0 220.725 * * [simplify]: Extracting #1: cost 69 inf + 0 220.727 * * [simplify]: Extracting #2: cost 282 inf + 1 220.729 * * [simplify]: Extracting #3: cost 330 inf + 1415 220.733 * * [simplify]: Extracting #4: cost 267 inf + 18583 220.748 * * [simplify]: Extracting #5: cost 71 inf + 90186 220.780 * * [simplify]: Extracting #6: cost 1 inf + 123245 220.805 * * [simplify]: Extracting #7: cost 0 inf + 122437 220.835 * * [simplify]: Extracting #8: cost 0 inf + 122436 220.877 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 220.877 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 220.877 * * * * [progress]: [ 296 / 425 ] simplifiying candidate # 220.877 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 220.877 * * [simplify]: iters left: 6 (21 enodes) 220.884 * * [simplify]: iters left: 5 (100 enodes) 220.901 * * [simplify]: iters left: 4 (203 enodes) 220.979 * * [simplify]: iters left: 3 (467 enodes) 221.186 * * [simplify]: Extracting #0: cost 1 inf + 0 221.186 * * [simplify]: Extracting #1: cost 78 inf + 0 221.187 * * [simplify]: Extracting #2: cost 366 inf + 1 221.189 * * [simplify]: Extracting #3: cost 430 inf + 668 221.195 * * [simplify]: Extracting #4: cost 320 inf + 33293 221.220 * * [simplify]: Extracting #5: cost 51 inf + 137976 221.261 * * [simplify]: Extracting #6: cost 4 inf + 160797 221.305 * * [simplify]: Extracting #7: cost 0 inf + 162603 221.360 * [simplify]: Simplified to (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))) 221.360 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n)))) (log (sqrt k))))) 221.360 * * * * [progress]: [ 297 / 425 ] simplifiying candidate # 221.360 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 221.360 * * [simplify]: iters left: 6 (19 enodes) 221.371 * * [simplify]: iters left: 5 (88 enodes) 221.402 * * [simplify]: iters left: 4 (168 enodes) 221.464 * * [simplify]: iters left: 3 (354 enodes) 221.636 * * [simplify]: Extracting #0: cost 1 inf + 0 221.636 * * [simplify]: Extracting #1: cost 57 inf + 0 221.637 * * [simplify]: Extracting #2: cost 246 inf + 1 221.641 * * [simplify]: Extracting #3: cost 293 inf + 2006 221.648 * * [simplify]: Extracting #4: cost 220 inf + 16522 221.662 * * [simplify]: Extracting #5: cost 71 inf + 72824 221.693 * * [simplify]: Extracting #6: cost 1 inf + 102893 221.715 * * [simplify]: Extracting #7: cost 0 inf + 102308 221.746 * * [simplify]: Extracting #8: cost 0 inf + 102263 221.770 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))) 221.770 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))))) 221.770 * * * * [progress]: [ 298 / 425 ] simplifiying candidate # 221.770 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 221.771 * * [simplify]: iters left: 6 (19 enodes) 221.784 * * [simplify]: iters left: 5 (88 enodes) 221.808 * * [simplify]: iters left: 4 (168 enodes) 221.842 * * [simplify]: iters left: 3 (354 enodes) 222.017 * * [simplify]: Extracting #0: cost 1 inf + 0 222.017 * * [simplify]: Extracting #1: cost 57 inf + 0 222.018 * * [simplify]: Extracting #2: cost 246 inf + 1 222.021 * * [simplify]: Extracting #3: cost 293 inf + 2006 222.029 * * [simplify]: Extracting #4: cost 220 inf + 16522 222.056 * * [simplify]: Extracting #5: cost 71 inf + 72824 222.096 * * [simplify]: Extracting #6: cost 1 inf + 102893 222.125 * * [simplify]: Extracting #7: cost 0 inf + 102308 222.145 * * [simplify]: Extracting #8: cost 0 inf + 102263 222.183 * [simplify]: Simplified to (- (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))) 222.183 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log n) (/ (- 1 k) 2) (* (log (* 2 PI)) (+ (/ (/ (- 1 k) 2) 2) (/ (/ (- 1 k) 2) 2)))) (log (sqrt k))))) 222.183 * * * * [progress]: [ 299 / 425 ] simplifiying candidate # 222.184 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 222.184 * * [simplify]: iters left: 6 (19 enodes) 222.195 * * [simplify]: iters left: 5 (89 enodes) 222.224 * * [simplify]: iters left: 4 (169 enodes) 222.276 * * [simplify]: iters left: 3 (378 enodes) 222.419 * * [simplify]: Extracting #0: cost 1 inf + 0 222.420 * * [simplify]: Extracting #1: cost 59 inf + 0 222.421 * * [simplify]: Extracting #2: cost 290 inf + 1 222.424 * * [simplify]: Extracting #3: cost 369 inf + 79 222.429 * * [simplify]: Extracting #4: cost 283 inf + 15176 222.449 * * [simplify]: Extracting #5: cost 64 inf + 96301 222.472 * * [simplify]: Extracting #6: cost 0 inf + 128289 222.511 * * [simplify]: Extracting #7: cost 0 inf + 128094 222.537 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 222.537 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 222.537 * * * * [progress]: [ 300 / 425 ] simplifiying candidate # 222.538 * [simplify]: Simplifying (+ (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 222.538 * * [simplify]: iters left: 6 (19 enodes) 222.548 * * [simplify]: iters left: 5 (87 enodes) 222.571 * * [simplify]: iters left: 4 (173 enodes) 222.610 * * [simplify]: iters left: 3 (418 enodes) 222.798 * * [simplify]: Extracting #0: cost 1 inf + 0 222.798 * * [simplify]: Extracting #1: cost 63 inf + 0 222.799 * * [simplify]: Extracting #2: cost 274 inf + 1 222.801 * * [simplify]: Extracting #3: cost 373 inf + 8 222.806 * * [simplify]: Extracting #4: cost 325 inf + 34511 222.825 * * [simplify]: Extracting #5: cost 96 inf + 127024 222.863 * * [simplify]: Extracting #6: cost 14 inf + 165005 222.895 * * [simplify]: Extracting #7: cost 0 inf + 173152 222.953 * * [simplify]: Extracting #8: cost 0 inf + 173072 223.011 * [simplify]: Simplified to (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))) 223.011 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI))))))) 223.011 * * * * [progress]: [ 301 / 425 ] simplifiying candidate # 223.011 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 223.012 * * [simplify]: iters left: 6 (22 enodes) 223.024 * * [simplify]: iters left: 5 (99 enodes) 223.060 * * [simplify]: iters left: 4 (200 enodes) 223.132 * * [simplify]: iters left: 3 (497 enodes) 223.340 * * [simplify]: Extracting #0: cost 1 inf + 0 223.340 * * [simplify]: Extracting #1: cost 55 inf + 0 223.341 * * [simplify]: Extracting #2: cost 299 inf + 1 223.343 * * [simplify]: Extracting #3: cost 335 inf + 4141 223.357 * * [simplify]: Extracting #4: cost 183 inf + 53541 223.386 * * [simplify]: Extracting #5: cost 30 inf + 113855 223.422 * * [simplify]: Extracting #6: cost 6 inf + 124756 223.476 * * [simplify]: Extracting #7: cost 0 inf + 128237 223.525 * * [simplify]: Extracting #8: cost 0 inf + 128206 223.550 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 223.550 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 223.551 * * * * [progress]: [ 302 / 425 ] simplifiying candidate # 223.551 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 223.551 * * [simplify]: iters left: 6 (22 enodes) 223.558 * * [simplify]: iters left: 5 (99 enodes) 223.596 * * [simplify]: iters left: 4 (200 enodes) 223.659 * * [simplify]: iters left: 3 (497 enodes) 223.884 * * [simplify]: Extracting #0: cost 1 inf + 0 223.884 * * [simplify]: Extracting #1: cost 55 inf + 0 223.886 * * [simplify]: Extracting #2: cost 299 inf + 1 223.890 * * [simplify]: Extracting #3: cost 335 inf + 4141 223.902 * * [simplify]: Extracting #4: cost 183 inf + 53541 223.924 * * [simplify]: Extracting #5: cost 30 inf + 113855 223.973 * * [simplify]: Extracting #6: cost 6 inf + 124756 224.027 * * [simplify]: Extracting #7: cost 0 inf + 128237 224.077 * * [simplify]: Extracting #8: cost 0 inf + 128206 224.128 * [simplify]: Simplified to (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))) 224.128 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (* (/ (- 1 k) 2) (+ (/ (log (* 2 PI)) 2) (log n)))) (log (sqrt k))))) 224.129 * * * * [progress]: [ 303 / 425 ] simplifiying candidate # 224.129 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 224.129 * * [simplify]: iters left: 6 (22 enodes) 224.143 * * [simplify]: iters left: 5 (100 enodes) 224.177 * * [simplify]: iters left: 4 (201 enodes) 224.242 * * [simplify]: Extracting #0: cost 1 inf + 0 224.242 * * [simplify]: Extracting #1: cost 29 inf + 0 224.242 * * [simplify]: Extracting #2: cost 118 inf + 0 224.243 * * [simplify]: Extracting #3: cost 163 inf + 6 224.243 * * [simplify]: Extracting #4: cost 154 inf + 1525 224.246 * * [simplify]: Extracting #5: cost 81 inf + 18776 224.255 * * [simplify]: Extracting #6: cost 22 inf + 42022 224.263 * * [simplify]: Extracting #7: cost 0 inf + 50555 224.278 * * [simplify]: Extracting #8: cost 0 inf + 49679 224.294 * * [simplify]: Extracting #9: cost 0 inf + 49598 224.309 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))) 224.309 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (/ (* (log (* 2 PI)) (- 1 k)) 4) (- (log (sqrt k)) (/ (* (log (* 2 PI)) (- 1 k)) 4)))))) 224.309 * * * * [progress]: [ 304 / 425 ] simplifiying candidate # 224.310 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 224.310 * * [simplify]: iters left: 6 (20 enodes) 224.316 * * [simplify]: iters left: 5 (95 enodes) 224.335 * * [simplify]: iters left: 4 (197 enodes) 224.396 * * [simplify]: iters left: 3 (481 enodes) 224.641 * * [simplify]: Extracting #0: cost 1 inf + 0 224.641 * * [simplify]: Extracting #1: cost 64 inf + 0 224.643 * * [simplify]: Extracting #2: cost 300 inf + 1 224.647 * * [simplify]: Extracting #3: cost 365 inf + 2380 224.661 * * [simplify]: Extracting #4: cost 220 inf + 46784 224.710 * * [simplify]: Extracting #5: cost 41 inf + 114859 224.762 * * [simplify]: Extracting #6: cost 8 inf + 130926 224.815 * * [simplify]: Extracting #7: cost 0 inf + 136100 224.853 * * [simplify]: Extracting #8: cost 0 inf + 136085 224.889 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 224.889 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 224.890 * * * * [progress]: [ 305 / 425 ] simplifiying candidate # 224.890 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 224.890 * * [simplify]: iters left: 6 (20 enodes) 224.896 * * [simplify]: iters left: 5 (95 enodes) 224.913 * * [simplify]: iters left: 4 (197 enodes) 224.959 * * [simplify]: iters left: 3 (481 enodes) 225.147 * * [simplify]: Extracting #0: cost 1 inf + 0 225.148 * * [simplify]: Extracting #1: cost 64 inf + 0 225.150 * * [simplify]: Extracting #2: cost 300 inf + 1 225.153 * * [simplify]: Extracting #3: cost 365 inf + 2380 225.169 * * [simplify]: Extracting #4: cost 220 inf + 46784 225.198 * * [simplify]: Extracting #5: cost 41 inf + 114859 225.238 * * [simplify]: Extracting #6: cost 8 inf + 130926 225.284 * * [simplify]: Extracting #7: cost 0 inf + 136100 225.727 * * [simplify]: Extracting #8: cost 0 inf + 136085 225.782 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 225.782 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 225.782 * * * * [progress]: [ 306 / 425 ] simplifiying candidate # 225.782 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 225.783 * * [simplify]: iters left: 6 (20 enodes) 225.794 * * [simplify]: iters left: 5 (96 enodes) 225.822 * * [simplify]: iters left: 4 (201 enodes) 225.889 * * [simplify]: Extracting #0: cost 1 inf + 0 225.890 * * [simplify]: Extracting #1: cost 22 inf + 0 225.890 * * [simplify]: Extracting #2: cost 101 inf + 0 225.891 * * [simplify]: Extracting #3: cost 157 inf + 77 225.892 * * [simplify]: Extracting #4: cost 143 inf + 1817 225.900 * * [simplify]: Extracting #5: cost 50 inf + 29031 225.915 * * [simplify]: Extracting #6: cost 10 inf + 42227 225.931 * * [simplify]: Extracting #7: cost 0 inf + 47294 225.946 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 225.947 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 225.947 * * * * [progress]: [ 307 / 425 ] simplifiying candidate # 225.947 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 225.947 * * [simplify]: iters left: 6 (20 enodes) 225.959 * * [simplify]: iters left: 5 (95 enodes) 225.997 * * [simplify]: iters left: 4 (197 enodes) 226.050 * * [simplify]: iters left: 3 (481 enodes) 226.274 * * [simplify]: Extracting #0: cost 1 inf + 0 226.274 * * [simplify]: Extracting #1: cost 64 inf + 0 226.275 * * [simplify]: Extracting #2: cost 300 inf + 1 226.277 * * [simplify]: Extracting #3: cost 365 inf + 2380 226.292 * * [simplify]: Extracting #4: cost 220 inf + 46784 226.335 * * [simplify]: Extracting #5: cost 41 inf + 114859 226.388 * * [simplify]: Extracting #6: cost 8 inf + 130926 226.418 * * [simplify]: Extracting #7: cost 0 inf + 136100 226.456 * * [simplify]: Extracting #8: cost 0 inf + 136085 226.483 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 226.483 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 226.484 * * * * [progress]: [ 308 / 425 ] simplifiying candidate # 226.484 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (log n) (/ (- 1 k) 2)))) 226.484 * * [simplify]: iters left: 6 (20 enodes) 226.498 * * [simplify]: iters left: 5 (95 enodes) 226.533 * * [simplify]: iters left: 4 (197 enodes) 226.603 * * [simplify]: iters left: 3 (481 enodes) 226.825 * * [simplify]: Extracting #0: cost 1 inf + 0 226.825 * * [simplify]: Extracting #1: cost 64 inf + 0 226.826 * * [simplify]: Extracting #2: cost 300 inf + 1 226.828 * * [simplify]: Extracting #3: cost 365 inf + 2380 226.839 * * [simplify]: Extracting #4: cost 220 inf + 46784 226.883 * * [simplify]: Extracting #5: cost 41 inf + 114859 226.935 * * [simplify]: Extracting #6: cost 8 inf + 130926 226.992 * * [simplify]: Extracting #7: cost 0 inf + 136100 227.021 * * [simplify]: Extracting #8: cost 0 inf + 136085 227.072 * [simplify]: Simplified to (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))) 227.072 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log (* 2 PI)) 2) (/ (- 1 k) 2) (- (* (/ (- 1 k) 2) (+ (log n) (/ (log (* 2 PI)) 2))) (log (sqrt k)))))) 227.072 * * * * [progress]: [ 309 / 425 ] simplifiying candidate # 227.073 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (log (pow n (/ (- 1 k) 2))))) 227.073 * * [simplify]: iters left: 6 (20 enodes) 227.086 * * [simplify]: iters left: 5 (96 enodes) 227.123 * * [simplify]: iters left: 4 (201 enodes) 227.198 * * [simplify]: Extracting #0: cost 1 inf + 0 227.198 * * [simplify]: Extracting #1: cost 22 inf + 0 227.198 * * [simplify]: Extracting #2: cost 101 inf + 0 227.198 * * [simplify]: Extracting #3: cost 157 inf + 77 227.199 * * [simplify]: Extracting #4: cost 143 inf + 1817 227.205 * * [simplify]: Extracting #5: cost 50 inf + 29031 227.212 * * [simplify]: Extracting #6: cost 10 inf + 42227 227.228 * * [simplify]: Extracting #7: cost 0 inf + 47294 227.244 * [simplify]: Simplified to (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))) 227.244 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log n) (/ (- 1 k) 2) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log (* 2 PI)))) (log (sqrt k)))))) 227.244 * * * * [progress]: [ 310 / 425 ] simplifiying candidate # 227.244 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 227.245 * * [simplify]: iters left: 6 (19 enodes) 227.255 * * [simplify]: iters left: 5 (86 enodes) 227.286 * * [simplify]: iters left: 4 (175 enodes) 227.357 * * [simplify]: iters left: 3 (403 enodes) 227.556 * * [simplify]: Extracting #0: cost 1 inf + 0 227.556 * * [simplify]: Extracting #1: cost 49 inf + 0 227.558 * * [simplify]: Extracting #2: cost 251 inf + 1 227.560 * * [simplify]: Extracting #3: cost 310 inf + 2900 227.570 * * [simplify]: Extracting #4: cost 216 inf + 26473 227.598 * * [simplify]: Extracting #5: cost 45 inf + 95846 227.619 * * [simplify]: Extracting #6: cost 1 inf + 110924 227.659 * * [simplify]: Extracting #7: cost 0 inf + 109667 227.700 * [simplify]: Simplified to (fma (/ (log n) 2) (- 1 k) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))) 227.701 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log n) 2) (- 1 k) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))))) 227.701 * * * * [progress]: [ 311 / 425 ] simplifiying candidate # 227.701 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (log n) (/ (- 1 k) 2)))) 227.701 * * [simplify]: iters left: 6 (19 enodes) 227.712 * * [simplify]: iters left: 5 (86 enodes) 227.730 * * [simplify]: iters left: 4 (175 enodes) 227.777 * * [simplify]: iters left: 3 (403 enodes) 227.982 * * [simplify]: Extracting #0: cost 1 inf + 0 227.983 * * [simplify]: Extracting #1: cost 49 inf + 0 227.984 * * [simplify]: Extracting #2: cost 251 inf + 1 227.987 * * [simplify]: Extracting #3: cost 310 inf + 2900 227.997 * * [simplify]: Extracting #4: cost 216 inf + 26473 228.014 * * [simplify]: Extracting #5: cost 45 inf + 95846 228.047 * * [simplify]: Extracting #6: cost 1 inf + 110924 228.076 * * [simplify]: Extracting #7: cost 0 inf + 109667 228.115 * [simplify]: Simplified to (fma (/ (log n) 2) (- 1 k) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))) 228.115 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (/ (log n) 2) (- 1 k) (- (* (+ (/ (- 1 k) 4) (/ (- 1 k) 4)) (log (* 2 PI))) (log (sqrt k)))))) 228.115 * * * * [progress]: [ 312 / 425 ] simplifiying candidate # 228.115 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (+ (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (log (pow n (/ (- 1 k) 2))))) 228.115 * * [simplify]: iters left: 6 (19 enodes) 228.126 * * [simplify]: iters left: 5 (87 enodes) 228.150 * * [simplify]: iters left: 4 (176 enodes) 228.192 * * [simplify]: iters left: 3 (428 enodes) 228.430 * * [simplify]: Extracting #0: cost 1 inf + 0 228.430 * * [simplify]: Extracting #1: cost 55 inf + 0 228.432 * * [simplify]: Extracting #2: cost 296 inf + 1 228.435 * * [simplify]: Extracting #3: cost 387 inf + 262 228.444 * * [simplify]: Extracting #4: cost 293 inf + 28673 228.478 * * [simplify]: Extracting #5: cost 63 inf + 107613 228.502 * * [simplify]: Extracting #6: cost 6 inf + 131176 228.547 * * [simplify]: Extracting #7: cost 0 inf + 134443 228.598 * * [simplify]: Extracting #8: cost 0 inf + 134324 228.648 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))) 228.648 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (- (* (/ (- 1 k) 4) (+ (log (* 2 PI)) (log n))) (log (sqrt k)))))) 228.649 * * * * [progress]: [ 313 / 425 ] simplifiying candidate # 228.649 * [simplify]: Simplifying (+ (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (log (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 228.649 * * [simplify]: iters left: 6 (18 enodes) 228.660 * * [simplify]: iters left: 5 (81 enodes) 228.689 * * [simplify]: iters left: 4 (167 enodes) 228.737 * * [simplify]: iters left: 3 (420 enodes) 228.948 * * [simplify]: Extracting #0: cost 1 inf + 0 228.948 * * [simplify]: Extracting #1: cost 45 inf + 0 228.949 * * [simplify]: Extracting #2: cost 223 inf + 1 228.950 * * [simplify]: Extracting #3: cost 318 inf + 79 228.953 * * [simplify]: Extracting #4: cost 308 inf + 14884 228.967 * * [simplify]: Extracting #5: cost 123 inf + 94550 229.010 * * [simplify]: Extracting #6: cost 11 inf + 154271 229.051 * * [simplify]: Extracting #7: cost 0 inf + 160182 229.077 * * [simplify]: Extracting #8: cost 0 inf + 160102 229.108 * [simplify]: Simplified to (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))) 229.108 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (- (* (/ (- 1 k) 4) (+ (log n) (log (* 2 PI)))) (log (sqrt k)))))) 229.108 * * * * [progress]: [ 314 / 425 ] simplifiying candidate # 229.108 * * * * [progress]: [ 315 / 425 ] simplifiying candidate # 229.108 * * * * [progress]: [ 316 / 425 ] simplifiying candidate # 229.108 * [simplify]: Simplifying (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 229.109 * * [simplify]: iters left: 6 (24 enodes) 229.123 * * [simplify]: iters left: 5 (110 enodes) 229.146 * * [simplify]: iters left: 4 (316 enodes) 229.423 * * [simplify]: Extracting #0: cost 1 inf + 0 229.423 * * [simplify]: Extracting #1: cost 97 inf + 0 229.424 * * [simplify]: Extracting #2: cost 436 inf + 330 229.426 * * [simplify]: Extracting #3: cost 456 inf + 1847 229.438 * * [simplify]: Extracting #4: cost 306 inf + 84752 229.536 * * [simplify]: Extracting #5: cost 31 inf + 286497 229.640 * * [simplify]: Extracting #6: cost 0 inf + 304761 229.722 * * [simplify]: Extracting #7: cost 0 inf + 303351 229.823 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (* k (sqrt k)))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (pow (* PI 2) (/ (/ (- 1 k) 2) 1)))) 229.823 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow n (/ (- 1 k) 2)) (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))) (/ (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (* k (sqrt k)))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 1)) (pow (* PI 2) (/ (/ (- 1 k) 2) 1)))))) 229.824 * * * * [progress]: [ 317 / 425 ] simplifiying candidate # 229.824 * [simplify]: Simplifying (* (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 229.825 * * [simplify]: iters left: 6 (24 enodes) 229.839 * * [simplify]: iters left: 5 (112 enodes) 229.887 * * [simplify]: iters left: 4 (340 enodes) 230.197 * * [simplify]: Extracting #0: cost 1 inf + 0 230.197 * * [simplify]: Extracting #1: cost 118 inf + 0 230.201 * * [simplify]: Extracting #2: cost 553 inf + 1 230.206 * * [simplify]: Extracting #3: cost 575 inf + 1474 230.211 * * [simplify]: Extracting #4: cost 556 inf + 3460 230.229 * * [simplify]: Extracting #5: cost 375 inf + 117629 230.307 * * [simplify]: Extracting #6: cost 35 inf + 410347 230.431 * * [simplify]: Extracting #7: cost 0 inf + 429512 230.524 * * [simplify]: Extracting #8: cost 0 inf + 422711 230.615 * * [simplify]: Extracting #9: cost 0 inf + 422471 230.739 * [simplify]: Simplified to (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4)))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (/ (pow (* PI 2) (- 1/4 (/ k 4))) (* k (sqrt k)))))) 230.739 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4)))) (* (* (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (/ (pow (* PI 2) (- 1/4 (/ k 4))) (* k (sqrt k)))))))) 230.739 * * * * [progress]: [ 318 / 425 ] simplifiying candidate # 230.740 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 230.740 * * [simplify]: iters left: 6 (22 enodes) 230.754 * * [simplify]: iters left: 5 (111 enodes) 230.797 * * [simplify]: iters left: 4 (306 enodes) 230.987 * * [simplify]: Extracting #0: cost 1 inf + 0 230.987 * * [simplify]: Extracting #1: cost 67 inf + 0 230.988 * * [simplify]: Extracting #2: cost 363 inf + 0 230.990 * * [simplify]: Extracting #3: cost 406 inf + 949 230.999 * * [simplify]: Extracting #4: cost 307 inf + 60767 231.064 * * [simplify]: Extracting #5: cost 111 inf + 202563 231.136 * * [simplify]: Extracting #6: cost 11 inf + 284676 231.238 * * [simplify]: Extracting #7: cost 0 inf + 290830 231.306 * * [simplify]: Extracting #8: cost 0 inf + 290247 231.366 * * [simplify]: Extracting #9: cost 0 inf + 290170 231.432 * [simplify]: Simplified to (/ (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (* (sqrt k) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k)) 231.432 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (* (sqrt k) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (pow (* PI 2) (/ (/ (- 1 k) 2) 2)))) (sqrt k)))) 231.432 * * * * [progress]: [ 319 / 425 ] simplifiying candidate # 231.432 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 231.433 * * [simplify]: iters left: 6 (22 enodes) 231.439 * * [simplify]: iters left: 5 (113 enodes) 231.464 * * [simplify]: iters left: 4 (330 enodes) 231.758 * * [simplify]: Extracting #0: cost 1 inf + 0 231.758 * * [simplify]: Extracting #1: cost 77 inf + 0 231.761 * * [simplify]: Extracting #2: cost 437 inf + 0 231.765 * * [simplify]: Extracting #3: cost 504 inf + 3 231.771 * * [simplify]: Extracting #4: cost 451 inf + 12901 231.812 * * [simplify]: Extracting #5: cost 211 inf + 208299 231.907 * * [simplify]: Extracting #6: cost 8 inf + 404306 231.971 * * [simplify]: Extracting #7: cost 0 inf + 398521 232.039 * * [simplify]: Extracting #8: cost 0 inf + 389686 232.106 * * [simplify]: Extracting #9: cost 0 inf + 386846 232.180 * * [simplify]: Extracting #10: cost 0 inf + 386675 232.283 * [simplify]: Simplified to (* (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))) 232.283 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (* (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)) (/ (* 1 (pow (* PI 2) (/ (/ (- 1 k) 2) 2))) (sqrt k)))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* PI 2) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))))) 232.284 * * * * [progress]: [ 320 / 425 ] simplifiying candidate # 232.284 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 232.284 * * [simplify]: iters left: 6 (22 enodes) 232.291 * * [simplify]: iters left: 5 (111 enodes) 232.320 * * [simplify]: iters left: 4 (342 enodes) 232.576 * * [simplify]: Extracting #0: cost 1 inf + 0 232.576 * * [simplify]: Extracting #1: cost 80 inf + 0 232.579 * * [simplify]: Extracting #2: cost 428 inf + 1 232.582 * * [simplify]: Extracting #3: cost 470 inf + 1404 232.607 * * [simplify]: Extracting #4: cost 333 inf + 85472 232.710 * * [simplify]: Extracting #5: cost 53 inf + 308552 232.795 * * [simplify]: Extracting #6: cost 4 inf + 337497 232.865 * * [simplify]: Extracting #7: cost 0 inf + 338380 232.933 * * [simplify]: Extracting #8: cost 0 inf + 338104 233.002 * [simplify]: Simplified to (* (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k))) (/ 1 (sqrt k))) 233.002 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)))) (/ (pow (* 2 PI) (/ (/ (- 1 k) 2) 1)) (sqrt k))) (/ 1 (sqrt k))))) 233.003 * * * * [progress]: [ 321 / 425 ] simplifiying candidate # 233.003 * [simplify]: Simplifying (* (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 233.003 * * [simplify]: iters left: 6 (20 enodes) 233.009 * * [simplify]: iters left: 5 (105 enodes) 233.037 * * [simplify]: iters left: 4 (340 enodes) 233.345 * * [simplify]: Extracting #0: cost 1 inf + 0 233.345 * * [simplify]: Extracting #1: cost 77 inf + 0 233.348 * * [simplify]: Extracting #2: cost 457 inf + 1 233.352 * * [simplify]: Extracting #3: cost 530 inf + 860 233.373 * * [simplify]: Extracting #4: cost 405 inf + 73606 233.423 * * [simplify]: Extracting #5: cost 149 inf + 272613 233.516 * * [simplify]: Extracting #6: cost 2 inf + 407109 233.598 * * [simplify]: Extracting #7: cost 0 inf + 403991 233.700 * * [simplify]: Extracting #8: cost 0 inf + 394470 233.812 * * [simplify]: Extracting #9: cost 0 inf + 393339 233.942 * * [simplify]: Extracting #10: cost 0 inf + 393300 234.039 * [simplify]: Simplified to (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)))) 234.039 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (* (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k)))))) 234.039 * * * * [progress]: [ 322 / 425 ] simplifiying candidate # 234.040 * * * * [progress]: [ 323 / 425 ] simplifiying candidate # 234.040 * * * * [progress]: [ 324 / 425 ] simplifiying candidate # 234.040 * * * * [progress]: [ 325 / 425 ] simplifiying candidate # 234.040 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 234.040 * * [simplify]: iters left: 6 (12 enodes) 234.045 * * [simplify]: iters left: 5 (54 enodes) 234.058 * * [simplify]: iters left: 4 (129 enodes) 234.132 * * [simplify]: iters left: 3 (344 enodes) 234.372 * * [simplify]: Extracting #0: cost 1 inf + 0 234.372 * * [simplify]: Extracting #1: cost 39 inf + 0 234.373 * * [simplify]: Extracting #2: cost 185 inf + 1 234.375 * * [simplify]: Extracting #3: cost 188 inf + 261 234.384 * * [simplify]: Extracting #4: cost 142 inf + 18933 234.400 * * [simplify]: Extracting #5: cost 23 inf + 93116 234.420 * * [simplify]: Extracting #6: cost 0 inf + 109817 234.443 * * [simplify]: Extracting #7: cost 0 inf + 109778 234.464 * [simplify]: Simplified to (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) 234.464 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 234.465 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 234.465 * * [simplify]: iters left: 6 (13 enodes) 234.472 * * [simplify]: iters left: 5 (55 enodes) 234.492 * * [simplify]: iters left: 4 (114 enodes) 234.554 * * [simplify]: iters left: 3 (369 enodes) 234.933 * * [simplify]: Extracting #0: cost 1 inf + 0 234.933 * * [simplify]: Extracting #1: cost 79 inf + 0 234.934 * * [simplify]: Extracting #2: cost 350 inf + 0 234.936 * * [simplify]: Extracting #3: cost 374 inf + 85 234.940 * * [simplify]: Extracting #4: cost 316 inf + 21955 234.968 * * [simplify]: Extracting #5: cost 164 inf + 131194 235.001 * * [simplify]: Extracting #6: cost 21 inf + 249352 235.056 * * [simplify]: Extracting #7: cost 0 inf + 253703 235.100 * * [simplify]: Extracting #8: cost 0 inf + 249637 235.157 * * [simplify]: Extracting #9: cost 0 inf + 249347 235.195 * [simplify]: Simplified to (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))) 235.195 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) 1/4) (* (sqrt n) (pow (* PI 2) 1/4))) (* (sqrt k) (* (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))) (* (pow (* 2 PI) (/ k 4)) (pow n (/ k 4))))))) 235.195 * * * * [progress]: [ 326 / 425 ] simplifiying candidate # 235.195 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 235.196 * * [simplify]: iters left: 6 (17 enodes) 235.208 * * [simplify]: iters left: 5 (77 enodes) 235.242 * * [simplify]: iters left: 4 (168 enodes) 235.310 * * [simplify]: iters left: 3 (489 enodes) 235.705 * * [simplify]: Extracting #0: cost 1 inf + 0 235.705 * * [simplify]: Extracting #1: cost 57 inf + 0 235.706 * * [simplify]: Extracting #2: cost 339 inf + 1 235.708 * * [simplify]: Extracting #3: cost 390 inf + 89 235.709 * * [simplify]: Extracting #4: cost 378 inf + 6955 235.714 * * [simplify]: Extracting #5: cost 273 inf + 54465 235.732 * * [simplify]: Extracting #6: cost 91 inf + 181658 235.790 * * [simplify]: Extracting #7: cost 3 inf + 250298 235.847 * * [simplify]: Extracting #8: cost 0 inf + 251585 235.907 * [simplify]: Simplified to (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) 235.907 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 235.908 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 235.908 * * [simplify]: iters left: 6 (12 enodes) 235.915 * * [simplify]: iters left: 5 (49 enodes) 235.928 * * [simplify]: iters left: 4 (89 enodes) 235.947 * * [simplify]: iters left: 3 (220 enodes) 236.085 * * [simplify]: Extracting #0: cost 1 inf + 0 236.086 * * [simplify]: Extracting #1: cost 49 inf + 0 236.087 * * [simplify]: Extracting #2: cost 179 inf + 0 236.088 * * [simplify]: Extracting #3: cost 204 inf + 85 236.091 * * [simplify]: Extracting #4: cost 176 inf + 10025 236.101 * * [simplify]: Extracting #5: cost 90 inf + 50900 236.112 * * [simplify]: Extracting #6: cost 7 inf + 109227 236.126 * * [simplify]: Extracting #7: cost 0 inf + 111250 236.142 * * [simplify]: Extracting #8: cost 0 inf + 111170 236.166 * [simplify]: Simplified to (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))) 236.166 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n)) (pow (* PI 2) 1/4)) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow n (/ k 2))))) 236.166 * * * * [progress]: [ 327 / 425 ] simplifiying candidate # 236.166 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 236.167 * * [simplify]: iters left: 6 (15 enodes) 236.177 * * [simplify]: iters left: 5 (68 enodes) 236.196 * * [simplify]: iters left: 4 (144 enodes) 236.260 * * [simplify]: iters left: 3 (362 enodes) 236.578 * * [simplify]: Extracting #0: cost 1 inf + 0 236.578 * * [simplify]: Extracting #1: cost 40 inf + 0 236.580 * * [simplify]: Extracting #2: cost 198 inf + 1 236.582 * * [simplify]: Extracting #3: cost 224 inf + 8 236.584 * * [simplify]: Extracting #4: cost 219 inf + 3421 236.590 * * [simplify]: Extracting #5: cost 173 inf + 23412 236.615 * * [simplify]: Extracting #6: cost 52 inf + 93463 236.649 * * [simplify]: Extracting #7: cost 0 inf + 129169 236.672 * * [simplify]: Extracting #8: cost 0 inf + 128512 236.688 * * [simplify]: Extracting #9: cost 0 inf + 128472 236.714 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) 236.714 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))))) 236.714 * [simplify]: Simplifying (* (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) (pow (* 2 PI) (/ (/ k 2) 2))) 236.714 * * [simplify]: iters left: 6 (10 enodes) 236.722 * * [simplify]: iters left: 5 (41 enodes) 236.735 * * [simplify]: iters left: 4 (70 enodes) 236.756 * * [simplify]: iters left: 3 (159 enodes) 236.816 * * [simplify]: iters left: 2 (431 enodes) 237.136 * * [simplify]: Extracting #0: cost 1 inf + 0 237.136 * * [simplify]: Extracting #1: cost 47 inf + 0 237.137 * * [simplify]: Extracting #2: cost 255 inf + 0 237.140 * * [simplify]: Extracting #3: cost 298 inf + 210 237.149 * * [simplify]: Extracting #4: cost 248 inf + 14772 237.172 * * [simplify]: Extracting #5: cost 109 inf + 84198 237.220 * * [simplify]: Extracting #6: cost 2 inf + 162886 237.270 * * [simplify]: Extracting #7: cost 0 inf + 158792 237.317 * * [simplify]: Extracting #8: cost 0 inf + 158501 237.366 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (* 1/2 k))) 237.366 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (* PI 2))) (* (sqrt k) (pow (* 2 PI) (* 1/2 k))))) 237.366 * * * * [progress]: [ 328 / 425 ] simplifiying candidate # 237.366 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 237.367 * * [simplify]: iters left: 6 (15 enodes) 237.377 * * [simplify]: iters left: 5 (67 enodes) 237.404 * * [simplify]: iters left: 4 (153 enodes) 237.467 * * [simplify]: Extracting #0: cost 1 inf + 0 237.467 * * [simplify]: Extracting #1: cost 44 inf + 0 237.468 * * [simplify]: Extracting #2: cost 126 inf + 1 237.469 * * [simplify]: Extracting #3: cost 116 inf + 1125 237.470 * * [simplify]: Extracting #4: cost 101 inf + 4061 237.475 * * [simplify]: Extracting #5: cost 53 inf + 24288 237.484 * * [simplify]: Extracting #6: cost 5 inf + 50435 237.496 * * [simplify]: Extracting #7: cost 0 inf + 53524 237.507 * [simplify]: Simplified to (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) 237.507 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 237.507 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 237.508 * * [simplify]: iters left: 6 (11 enodes) 237.514 * * [simplify]: iters left: 5 (46 enodes) 237.529 * * [simplify]: iters left: 4 (94 enodes) 237.556 * * [simplify]: iters left: 3 (276 enodes) 237.794 * * [simplify]: Extracting #0: cost 1 inf + 0 237.794 * * [simplify]: Extracting #1: cost 48 inf + 0 237.796 * * [simplify]: Extracting #2: cost 205 inf + 0 237.797 * * [simplify]: Extracting #3: cost 236 inf + 3 237.801 * * [simplify]: Extracting #4: cost 194 inf + 11744 237.822 * * [simplify]: Extracting #5: cost 59 inf + 96623 237.851 * * [simplify]: Extracting #6: cost 2 inf + 139039 237.872 * * [simplify]: Extracting #7: cost 0 inf + 134445 237.893 * * [simplify]: Extracting #8: cost 0 inf + 134022 237.919 * [simplify]: Simplified to (* (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4))) (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4)))) 237.919 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* 2 PI) 1/4) (* (sqrt n) (/ (pow (* 2 PI) 1/4) (sqrt k)))) (* (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4))) (* (pow n (/ k 4)) (pow (* 2 PI) (/ k 4)))))) 237.919 * * * * [progress]: [ 329 / 425 ] simplifiying candidate # 237.919 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 237.920 * * [simplify]: iters left: 6 (19 enodes) 237.926 * * [simplify]: iters left: 5 (87 enodes) 237.950 * * [simplify]: iters left: 4 (195 enodes) 238.029 * * [simplify]: Extracting #0: cost 1 inf + 0 238.029 * * [simplify]: Extracting #1: cost 53 inf + 0 238.029 * * [simplify]: Extracting #2: cost 171 inf + 1 238.030 * * [simplify]: Extracting #3: cost 184 inf + 415 238.031 * * [simplify]: Extracting #4: cost 162 inf + 6703 238.036 * * [simplify]: Extracting #5: cost 66 inf + 51106 238.047 * * [simplify]: Extracting #6: cost 4 inf + 85727 238.061 * * [simplify]: Extracting #7: cost 0 inf + 88141 238.071 * [simplify]: Simplified to (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) 238.071 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 238.071 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 238.071 * * [simplify]: iters left: 6 (10 enodes) 238.077 * * [simplify]: iters left: 5 (40 enodes) 238.084 * * [simplify]: iters left: 4 (73 enodes) 238.099 * * [simplify]: iters left: 3 (167 enodes) 238.195 * * [simplify]: Extracting #0: cost 1 inf + 0 238.195 * * [simplify]: Extracting #1: cost 27 inf + 0 238.196 * * [simplify]: Extracting #2: cost 111 inf + 0 238.197 * * [simplify]: Extracting #3: cost 138 inf + 2 238.198 * * [simplify]: Extracting #4: cost 124 inf + 1675 238.203 * * [simplify]: Extracting #5: cost 60 inf + 23565 238.216 * * [simplify]: Extracting #6: cost 2 inf + 62915 238.231 * * [simplify]: Extracting #7: cost 0 inf + 64109 238.245 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 238.245 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt n)) (/ (sqrt k) (pow (* 2 PI) 1/4))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 238.245 * * * * [progress]: [ 330 / 425 ] simplifiying candidate # 238.245 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 238.246 * * [simplify]: iters left: 6 (17 enodes) 238.258 * * [simplify]: iters left: 5 (79 enodes) 238.290 * * [simplify]: iters left: 4 (169 enodes) 238.375 * * [simplify]: Extracting #0: cost 1 inf + 0 238.376 * * [simplify]: Extracting #1: cost 44 inf + 0 238.376 * * [simplify]: Extracting #2: cost 131 inf + 1 238.377 * * [simplify]: Extracting #3: cost 141 inf + 374 238.378 * * [simplify]: Extracting #4: cost 133 inf + 1679 238.383 * * [simplify]: Extracting #5: cost 71 inf + 28190 238.397 * * [simplify]: Extracting #6: cost 8 inf + 62839 238.410 * * [simplify]: Extracting #7: cost 0 inf + 68273 238.418 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) 238.418 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))))) 238.418 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow (* 2 PI) (/ (/ k 2) 2))) 238.418 * * [simplify]: iters left: 6 (8 enodes) 238.424 * * [simplify]: iters left: 5 (33 enodes) 238.430 * * [simplify]: iters left: 4 (62 enodes) 238.447 * * [simplify]: iters left: 3 (129 enodes) 238.477 * * [simplify]: iters left: 2 (268 enodes) 238.581 * * [simplify]: Extracting #0: cost 1 inf + 0 238.581 * * [simplify]: Extracting #1: cost 23 inf + 0 238.581 * * [simplify]: Extracting #2: cost 91 inf + 1 238.582 * * [simplify]: Extracting #3: cost 107 inf + 509 238.583 * * [simplify]: Extracting #4: cost 66 inf + 4639 238.587 * * [simplify]: Extracting #5: cost 26 inf + 22762 238.595 * * [simplify]: Extracting #6: cost 0 inf + 41564 238.610 * [simplify]: Simplified to (pow (* 2 PI) (* 1/2 k)) 238.610 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) 1/2) (sqrt k))) (pow (* 2 PI) (* 1/2 k)))) 238.611 * * * * [progress]: [ 331 / 425 ] simplifiying candidate # 238.611 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) 238.611 * * [simplify]: iters left: 6 (17 enodes) 238.624 * * [simplify]: iters left: 5 (78 enodes) 238.653 * * [simplify]: iters left: 4 (178 enodes) 238.725 * * [simplify]: Extracting #0: cost 1 inf + 0 238.726 * * [simplify]: Extracting #1: cost 38 inf + 0 238.726 * * [simplify]: Extracting #2: cost 117 inf + 1 238.726 * * [simplify]: Extracting #3: cost 134 inf + 251 238.727 * * [simplify]: Extracting #4: cost 124 inf + 2622 238.728 * * [simplify]: Extracting #5: cost 89 inf + 15001 238.731 * * [simplify]: Extracting #6: cost 50 inf + 29300 238.736 * * [simplify]: Extracting #7: cost 10 inf + 52223 238.742 * * [simplify]: Extracting #8: cost 0 inf + 59156 238.748 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) 238.749 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) (* (sqrt k) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))))) 238.749 * [simplify]: Simplifying (* (sqrt k) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2)))) 238.749 * * [simplify]: iters left: 6 (12 enodes) 238.756 * * [simplify]: iters left: 5 (49 enodes) 238.772 * * [simplify]: iters left: 4 (91 enodes) 238.793 * * [simplify]: iters left: 3 (229 enodes) 238.901 * * [simplify]: Extracting #0: cost 1 inf + 0 238.902 * * [simplify]: Extracting #1: cost 54 inf + 0 238.902 * * [simplify]: Extracting #2: cost 185 inf + 0 238.903 * * [simplify]: Extracting #3: cost 205 inf + 85 238.904 * * [simplify]: Extracting #4: cost 169 inf + 10610 238.913 * * [simplify]: Extracting #5: cost 47 inf + 85128 238.928 * * [simplify]: Extracting #6: cost 0 inf + 116072 238.952 * * [simplify]: Extracting #7: cost 0 inf + 113903 238.979 * * [simplify]: Extracting #8: cost 0 inf + 113730 239.005 * [simplify]: Simplified to (* (* (pow n (/ k 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (sqrt k)) 239.005 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (sqrt n))) (* (* (pow n (/ k 2)) (pow (* 2 PI) (/ (/ k 2) 2))) (sqrt k)))) 239.005 * * * * [progress]: [ 332 / 425 ] simplifiying candidate # 239.005 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) 239.005 * * [simplify]: iters left: 6 (15 enodes) 239.015 * * [simplify]: iters left: 5 (68 enodes) 239.045 * * [simplify]: iters left: 4 (159 enodes) 239.109 * * [simplify]: iters left: 3 (414 enodes) 239.451 * * [simplify]: Extracting #0: cost 1 inf + 0 239.451 * * [simplify]: Extracting #1: cost 40 inf + 0 239.453 * * [simplify]: Extracting #2: cost 205 inf + 1 239.455 * * [simplify]: Extracting #3: cost 243 inf + 513 239.457 * * [simplify]: Extracting #4: cost 246 inf + 1956 239.461 * * [simplify]: Extracting #5: cost 203 inf + 16343 239.473 * * [simplify]: Extracting #6: cost 53 inf + 106153 239.495 * * [simplify]: Extracting #7: cost 1 inf + 142732 239.521 * * [simplify]: Extracting #8: cost 0 inf + 143148 239.558 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) 239.558 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) (* (sqrt k) (pow n (/ k 2))))) 239.558 * [simplify]: Simplifying (* (sqrt k) (pow n (/ k 2))) 239.559 * * [simplify]: iters left: 5 (7 enodes) 239.561 * * [simplify]: iters left: 4 (25 enodes) 239.567 * * [simplify]: iters left: 3 (41 enodes) 239.581 * * [simplify]: iters left: 2 (79 enodes) 239.612 * * [simplify]: iters left: 1 (180 enodes) 239.695 * * [simplify]: Extracting #0: cost 1 inf + 0 239.695 * * [simplify]: Extracting #1: cost 23 inf + 0 239.695 * * [simplify]: Extracting #2: cost 86 inf + 0 239.696 * * [simplify]: Extracting #3: cost 107 inf + 45 239.697 * * [simplify]: Extracting #4: cost 97 inf + 1387 239.699 * * [simplify]: Extracting #5: cost 67 inf + 4932 239.704 * * [simplify]: Extracting #6: cost 24 inf + 26374 239.709 * * [simplify]: Extracting #7: cost 0 inf + 42198 239.713 * * [simplify]: Extracting #8: cost 0 inf + 41565 239.718 * [simplify]: Simplified to (* (pow n (/ k 2)) (sqrt k)) 239.718 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) (/ (- 1 k) 4)) (sqrt n))) (* (pow n (/ k 2)) (sqrt k)))) 239.718 * * * * [progress]: [ 333 / 425 ] simplifiying candidate # 239.718 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) 239.719 * * [simplify]: iters left: 6 (17 enodes) 239.725 * * [simplify]: iters left: 5 (78 enodes) 239.752 * * [simplify]: iters left: 4 (169 enodes) 239.833 * * [simplify]: iters left: 3 (486 enodes) 240.237 * * [simplify]: Extracting #0: cost 1 inf + 0 240.237 * * [simplify]: Extracting #1: cost 59 inf + 0 240.239 * * [simplify]: Extracting #2: cost 334 inf + 1 240.242 * * [simplify]: Extracting #3: cost 399 inf + 6 240.246 * * [simplify]: Extracting #4: cost 396 inf + 2583 240.263 * * [simplify]: Extracting #5: cost 282 inf + 53874 240.306 * * [simplify]: Extracting #6: cost 70 inf + 215326 240.371 * * [simplify]: Extracting #7: cost 2 inf + 267954 240.438 * * [simplify]: Extracting #8: cost 0 inf + 268428 240.480 * * [simplify]: Extracting #9: cost 0 inf + 267924 240.514 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) 240.514 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 240.515 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 240.515 * * [simplify]: iters left: 6 (9 enodes) 240.518 * * [simplify]: iters left: 5 (35 enodes) 240.529 * * [simplify]: iters left: 4 (51 enodes) 240.548 * * [simplify]: iters left: 3 (92 enodes) 240.579 * * [simplify]: iters left: 2 (205 enodes) 240.629 * * [simplify]: Extracting #0: cost 1 inf + 0 240.629 * * [simplify]: Extracting #1: cost 28 inf + 0 240.630 * * [simplify]: Extracting #2: cost 97 inf + 0 240.631 * * [simplify]: Extracting #3: cost 125 inf + 86 240.632 * * [simplify]: Extracting #4: cost 114 inf + 2462 240.639 * * [simplify]: Extracting #5: cost 35 inf + 30951 240.652 * * [simplify]: Extracting #6: cost 2 inf + 51027 240.665 * * [simplify]: Extracting #7: cost 0 inf + 51554 240.677 * * [simplify]: Extracting #8: cost 0 inf + 51475 240.689 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 240.689 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (pow (* PI 2) (/ (- 1 k) 4)) (* (pow (* PI 2) 1/4) (pow n (/ (- 1 k) 2)))) (* (sqrt k) (pow (* 2 PI) (/ k 4))))) 240.690 * * * * [progress]: [ 334 / 425 ] simplifiying candidate # 240.690 * * * * [progress]: [ 335 / 425 ] simplifiying candidate # 240.690 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 240.690 * * [simplify]: iters left: 5 (7 enodes) 240.695 * * [simplify]: iters left: 4 (32 enodes) 240.706 * * [simplify]: iters left: 3 (57 enodes) 240.725 * * [simplify]: iters left: 2 (88 enodes) 240.753 * * [simplify]: iters left: 1 (156 enodes) 240.796 * * [simplify]: Extracting #0: cost 1 inf + 0 240.796 * * [simplify]: Extracting #1: cost 13 inf + 0 240.797 * * [simplify]: Extracting #2: cost 49 inf + 2 240.797 * * [simplify]: Extracting #3: cost 80 inf + 6 240.798 * * [simplify]: Extracting #4: cost 58 inf + 1840 240.801 * * [simplify]: Extracting #5: cost 22 inf + 9206 240.807 * * [simplify]: Extracting #6: cost 1 inf + 20886 240.813 * * [simplify]: Extracting #7: cost 0 inf + 21301 240.819 * * [simplify]: Extracting #8: cost 0 inf + 21130 240.825 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 240.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow n (/ (- 1 k) 2)))) 240.826 * * * * [progress]: [ 336 / 425 ] simplifiying candidate # 240.826 * [simplify]: Simplifying (/ 1 (sqrt k)) 240.826 * * [simplify]: iters left: 3 (4 enodes) 240.829 * * [simplify]: iters left: 2 (14 enodes) 240.834 * * [simplify]: iters left: 1 (16 enodes) 240.839 * * [simplify]: Extracting #0: cost 1 inf + 0 240.839 * * [simplify]: Extracting #1: cost 4 inf + 0 240.839 * * [simplify]: Extracting #2: cost 5 inf + 1 240.839 * * [simplify]: Extracting #3: cost 3 inf + 43 240.839 * * [simplify]: Extracting #4: cost 1 inf + 166 240.840 * * [simplify]: Extracting #5: cost 0 inf + 248 240.840 * [simplify]: Simplified to (/ 1 (sqrt k)) 240.840 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))) 240.840 * * * * [progress]: [ 337 / 425 ] simplifiying candidate # 240.840 * [simplify]: Simplifying (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 240.840 * * [simplify]: iters left: 6 (10 enodes) 240.846 * * [simplify]: iters left: 5 (40 enodes) 240.860 * * [simplify]: iters left: 4 (73 enodes) 240.890 * * [simplify]: iters left: 3 (167 enodes) 240.986 * * [simplify]: Extracting #0: cost 1 inf + 0 240.986 * * [simplify]: Extracting #1: cost 27 inf + 0 240.987 * * [simplify]: Extracting #2: cost 111 inf + 0 240.988 * * [simplify]: Extracting #3: cost 138 inf + 2 240.989 * * [simplify]: Extracting #4: cost 124 inf + 1675 240.993 * * [simplify]: Extracting #5: cost 60 inf + 23565 240.999 * * [simplify]: Extracting #6: cost 2 inf + 62915 241.009 * * [simplify]: Extracting #7: cost 0 inf + 64109 241.017 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))) 241.017 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ 1 2)))) (* (pow (* 2 PI) (/ (/ k 2) 2)) (pow n (/ k 2))))) 241.017 * * * * [progress]: [ 338 / 425 ] simplifiying candidate # 241.017 * [simplify]: Simplifying (pow n (/ k 2)) 241.017 * * [simplify]: iters left: 3 (5 enodes) 241.019 * * [simplify]: iters left: 2 (18 enodes) 241.023 * * [simplify]: iters left: 1 (30 enodes) 241.028 * * [simplify]: Extracting #0: cost 1 inf + 0 241.028 * * [simplify]: Extracting #1: cost 10 inf + 0 241.028 * * [simplify]: Extracting #2: cost 23 inf + 1 241.028 * * [simplify]: Extracting #3: cost 23 inf + 46 241.029 * * [simplify]: Extracting #4: cost 11 inf + 1346 241.030 * * [simplify]: Extracting #5: cost 1 inf + 3938 241.030 * * [simplify]: Extracting #6: cost 0 inf + 4111 241.031 * * [simplify]: Extracting #7: cost 0 inf + 4070 241.032 * [simplify]: Simplified to (pow n (/ k 2)) 241.032 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ 1 2)))) (pow n (/ k 2)))) 241.032 * * * * [progress]: [ 339 / 425 ] simplifiying candidate # 241.033 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 241.033 * * [simplify]: iters left: 5 (7 enodes) 241.037 * * [simplify]: iters left: 4 (28 enodes) 241.047 * * [simplify]: iters left: 3 (43 enodes) 241.061 * * [simplify]: iters left: 2 (74 enodes) 241.088 * * [simplify]: iters left: 1 (151 enodes) 241.138 * * [simplify]: Extracting #0: cost 1 inf + 0 241.139 * * [simplify]: Extracting #1: cost 12 inf + 0 241.139 * * [simplify]: Extracting #2: cost 54 inf + 1 241.139 * * [simplify]: Extracting #3: cost 71 inf + 135 241.140 * * [simplify]: Extracting #4: cost 32 inf + 4638 241.142 * * [simplify]: Extracting #5: cost 6 inf + 15744 241.144 * * [simplify]: Extracting #6: cost 0 inf + 18744 241.149 * * [simplify]: Extracting #7: cost 0 inf + 18624 241.153 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 241.153 * [simplify]: Simplified (2 2) to (λ (k n) (/ (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ 1 2) 2)) (pow n (/ (- 1 k) 2)))) (pow (* 2 PI) (/ k 4)))) 241.153 * * * * [progress]: [ 340 / 425 ] simplifiying candidate # 241.154 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 241.154 * * [simplify]: iters left: 6 (17 enodes) 241.162 * * [simplify]: iters left: 5 (77 enodes) 241.178 * * [simplify]: iters left: 4 (158 enodes) 241.240 * * [simplify]: iters left: 3 (463 enodes) 241.645 * * [simplify]: Extracting #0: cost 1 inf + 0 241.645 * * [simplify]: Extracting #1: cost 66 inf + 0 241.646 * * [simplify]: Extracting #2: cost 408 inf + 1 241.648 * * [simplify]: Extracting #3: cost 514 inf + 6 241.651 * * [simplify]: Extracting #4: cost 515 inf + 1109 241.659 * * [simplify]: Extracting #5: cost 448 inf + 24649 241.682 * * [simplify]: Extracting #6: cost 279 inf + 134909 241.734 * * [simplify]: Extracting #7: cost 22 inf + 350893 241.804 * * [simplify]: Extracting #8: cost 0 inf + 366291 241.856 * [simplify]: Simplified to (* (* (pow (* PI 2) 1/4) (pow n (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) 241.856 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow (* PI 2) 1/4) (pow n (- 1/4 (/ k 4)))) (* (pow n (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4))))) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))))) 241.856 * * * * [progress]: [ 341 / 425 ] simplifiying candidate # 241.857 * [simplify]: Simplifying (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 241.857 * * [simplify]: iters left: 6 (19 enodes) 241.869 * * [simplify]: iters left: 5 (87 enodes) 241.889 * * [simplify]: iters left: 4 (186 enodes) 241.977 * * [simplify]: Extracting #0: cost 1 inf + 0 241.977 * * [simplify]: Extracting #1: cost 53 inf + 0 241.978 * * [simplify]: Extracting #2: cost 173 inf + 1 241.979 * * [simplify]: Extracting #3: cost 191 inf + 332 241.981 * * [simplify]: Extracting #4: cost 165 inf + 6460 241.996 * * [simplify]: Extracting #5: cost 41 inf + 78400 242.022 * * [simplify]: Extracting #6: cost 1 inf + 103201 242.041 * * [simplify]: Extracting #7: cost 0 inf + 103223 242.052 * [simplify]: Simplified to (/ (* (pow (* 2 PI) 1/4) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 242.052 * [simplify]: Simplified (2 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) 1/4) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (pow (* 2 PI) (/ (/ k 2) 2)))) 242.053 * * * * [progress]: [ 342 / 425 ] simplifiying candidate # 242.053 * [simplify]: Simplifying (* (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))) 242.053 * * [simplify]: iters left: 6 (14 enodes) 242.057 * * [simplify]: iters left: 5 (64 enodes) 242.075 * * [simplify]: iters left: 4 (145 enodes) 242.154 * * [simplify]: iters left: 3 (365 enodes) 242.405 * * [simplify]: Extracting #0: cost 1 inf + 0 242.405 * * [simplify]: Extracting #1: cost 41 inf + 0 242.406 * * [simplify]: Extracting #2: cost 204 inf + 1 242.410 * * [simplify]: Extracting #3: cost 253 inf + 4 242.412 * * [simplify]: Extracting #4: cost 255 inf + 97 242.414 * * [simplify]: Extracting #5: cost 216 inf + 10002 242.424 * * [simplify]: Extracting #6: cost 87 inf + 85580 242.443 * * [simplify]: Extracting #7: cost 2 inf + 148843 242.465 * * [simplify]: Extracting #8: cost 0 inf + 149340 242.491 * * [simplify]: Extracting #9: cost 0 inf + 149339 242.521 * [simplify]: Simplified to (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) 242.521 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4))) (* (pow n (/ (- 1 k) 4)) (pow (* PI 2) (/ (- 1 k) 4)))) (sqrt k))) 242.521 * * * * [progress]: [ 343 / 425 ] simplifiying candidate #real (real->posit16 (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))))> 242.522 * * * * [progress]: [ 344 / 425 ] simplifiying candidate # 242.522 * * * * [progress]: [ 345 / 425 ] simplifiying candidate # 242.522 * * * * [progress]: [ 346 / 425 ] simplifiying candidate # 242.522 * * * * [progress]: [ 347 / 425 ] simplifiying candidate # 242.522 * * * * [progress]: [ 348 / 425 ] simplifiying candidate # 242.522 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 242.522 * * [simplify]: iters left: 6 (15 enodes) 242.527 * * [simplify]: iters left: 5 (61 enodes) 242.537 * * [simplify]: iters left: 4 (98 enodes) 242.568 * * [simplify]: iters left: 3 (184 enodes) 242.634 * * [simplify]: iters left: 2 (323 enodes) 242.724 * * [simplify]: Extracting #0: cost 1 inf + 0 242.725 * * [simplify]: Extracting #1: cost 26 inf + 0 242.725 * * [simplify]: Extracting #2: cost 108 inf + 0 242.725 * * [simplify]: Extracting #3: cost 151 inf + 330 242.727 * * [simplify]: Extracting #4: cost 116 inf + 7912 242.732 * * [simplify]: Extracting #5: cost 19 inf + 27883 242.738 * * [simplify]: Extracting #6: cost 0 inf + 32188 242.745 * [simplify]: Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k))) 242.745 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 242.745 * * * * [progress]: [ 349 / 425 ] simplifiying candidate # 242.745 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 242.745 * * [simplify]: iters left: 6 (14 enodes) 242.754 * * [simplify]: iters left: 5 (61 enodes) 242.774 * * [simplify]: iters left: 4 (101 enodes) 242.809 * * [simplify]: iters left: 3 (175 enodes) 242.872 * * [simplify]: iters left: 2 (307 enodes) 243.000 * * [simplify]: Extracting #0: cost 1 inf + 0 243.000 * * [simplify]: Extracting #1: cost 25 inf + 0 243.001 * * [simplify]: Extracting #2: cost 110 inf + 0 243.002 * * [simplify]: Extracting #3: cost 156 inf + 48 243.004 * * [simplify]: Extracting #4: cost 137 inf + 2684 243.010 * * [simplify]: Extracting #5: cost 35 inf + 20142 243.022 * * [simplify]: Extracting #6: cost 0 inf + 28572 243.034 * * [simplify]: Extracting #7: cost 0 inf + 28571 243.046 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 243.046 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 243.046 * * * * [progress]: [ 350 / 425 ] simplifiying candidate # 243.046 * [simplify]: Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 243.047 * * [simplify]: iters left: 6 (14 enodes) 243.054 * * [simplify]: iters left: 5 (61 enodes) 243.065 * * [simplify]: iters left: 4 (101 enodes) 243.086 * * [simplify]: iters left: 3 (175 enodes) 243.142 * * [simplify]: iters left: 2 (307 enodes) 243.238 * * [simplify]: Extracting #0: cost 1 inf + 0 243.238 * * [simplify]: Extracting #1: cost 25 inf + 0 243.239 * * [simplify]: Extracting #2: cost 110 inf + 0 243.239 * * [simplify]: Extracting #3: cost 156 inf + 48 243.240 * * [simplify]: Extracting #4: cost 137 inf + 2684 243.243 * * [simplify]: Extracting #5: cost 35 inf + 20142 243.249 * * [simplify]: Extracting #6: cost 0 inf + 28572 243.255 * * [simplify]: Extracting #7: cost 0 inf + 28571 243.261 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 243.261 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 243.261 * * * * [progress]: [ 351 / 425 ] simplifiying candidate # 243.262 * [simplify]: Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 243.262 * * [simplify]: iters left: 6 (14 enodes) 243.267 * * [simplify]: iters left: 5 (60 enodes) 243.291 * * [simplify]: iters left: 4 (103 enodes) 243.327 * * [simplify]: iters left: 3 (201 enodes) 243.401 * * [simplify]: iters left: 2 (465 enodes) 243.541 * * [simplify]: Extracting #0: cost 1 inf + 0 243.541 * * [simplify]: Extracting #1: cost 51 inf + 0 243.542 * * [simplify]: Extracting #2: cost 239 inf + 72 243.543 * * [simplify]: Extracting #3: cost 281 inf + 1015 243.553 * * [simplify]: Extracting #4: cost 235 inf + 12646 243.571 * * [simplify]: Extracting #5: cost 83 inf + 45702 243.585 * * [simplify]: Extracting #6: cost 10 inf + 75015 243.604 * * [simplify]: Extracting #7: cost 0 inf + 82166 243.629 * [simplify]: Simplified to (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k))) 243.629 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- 1 k) (/ 4 (log (* 2 PI)))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 243.630 * * * * [progress]: [ 352 / 425 ] simplifiying candidate # 243.630 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 243.630 * * [simplify]: iters left: 6 (16 enodes) 243.635 * * [simplify]: iters left: 5 (67 enodes) 243.648 * * [simplify]: iters left: 4 (115 enodes) 243.684 * * [simplify]: iters left: 3 (256 enodes) 243.798 * * [simplify]: Extracting #0: cost 1 inf + 0 243.798 * * [simplify]: Extracting #1: cost 26 inf + 0 243.799 * * [simplify]: Extracting #2: cost 127 inf + 1 243.800 * * [simplify]: Extracting #3: cost 150 inf + 402 243.801 * * [simplify]: Extracting #4: cost 113 inf + 6321 243.810 * * [simplify]: Extracting #5: cost 25 inf + 29633 243.824 * * [simplify]: Extracting #6: cost 0 inf + 34875 243.837 * * [simplify]: Extracting #7: cost 0 inf + 34820 243.849 * [simplify]: Simplified to (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k))) 243.849 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (+ (log PI) (log 2)) (- 1/4 (/ k 4))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 243.850 * * * * [progress]: [ 353 / 425 ] simplifiying candidate # 243.850 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 243.850 * * [simplify]: iters left: 6 (15 enodes) 243.858 * * [simplify]: iters left: 5 (67 enodes) 243.883 * * [simplify]: iters left: 4 (118 enodes) 243.931 * * [simplify]: iters left: 3 (237 enodes) 243.998 * * [simplify]: Extracting #0: cost 1 inf + 0 243.998 * * [simplify]: Extracting #1: cost 24 inf + 0 243.998 * * [simplify]: Extracting #2: cost 115 inf + 1 243.999 * * [simplify]: Extracting #3: cost 150 inf + 6 244.000 * * [simplify]: Extracting #4: cost 138 inf + 1152 244.003 * * [simplify]: Extracting #5: cost 50 inf + 16684 244.011 * * [simplify]: Extracting #6: cost 1 inf + 28535 244.018 * * [simplify]: Extracting #7: cost 0 inf + 28754 244.027 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) 244.027 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.028 * * * * [progress]: [ 354 / 425 ] simplifiying candidate # 244.028 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 244.028 * * [simplify]: iters left: 6 (15 enodes) 244.037 * * [simplify]: iters left: 5 (67 enodes) 244.061 * * [simplify]: iters left: 4 (118 enodes) 244.100 * * [simplify]: iters left: 3 (237 enodes) 244.202 * * [simplify]: Extracting #0: cost 1 inf + 0 244.202 * * [simplify]: Extracting #1: cost 24 inf + 0 244.203 * * [simplify]: Extracting #2: cost 115 inf + 1 244.203 * * [simplify]: Extracting #3: cost 150 inf + 6 244.204 * * [simplify]: Extracting #4: cost 138 inf + 1152 244.206 * * [simplify]: Extracting #5: cost 50 inf + 16684 244.212 * * [simplify]: Extracting #6: cost 1 inf + 28535 244.218 * * [simplify]: Extracting #7: cost 0 inf + 28754 244.224 * [simplify]: Simplified to (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k))) 244.224 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* 2 PI)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.224 * * * * [progress]: [ 355 / 425 ] simplifiying candidate # 244.224 * [simplify]: Simplifying (+ (- 0 (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 244.224 * * [simplify]: iters left: 6 (15 enodes) 244.229 * * [simplify]: iters left: 5 (66 enodes) 244.252 * * [simplify]: iters left: 4 (117 enodes) 244.275 * * [simplify]: iters left: 3 (250 enodes) 244.349 * * [simplify]: Extracting #0: cost 1 inf + 0 244.350 * * [simplify]: Extracting #1: cost 30 inf + 0 244.350 * * [simplify]: Extracting #2: cost 156 inf + 1 244.351 * * [simplify]: Extracting #3: cost 226 inf + 6 244.352 * * [simplify]: Extracting #4: cost 194 inf + 5679 244.357 * * [simplify]: Extracting #5: cost 58 inf + 33604 244.366 * * [simplify]: Extracting #6: cost 2 inf + 51205 244.378 * * [simplify]: Extracting #7: cost 0 inf + 51905 244.397 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k))) 244.397 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 4) (log (* 2 PI))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.397 * * * * [progress]: [ 356 / 425 ] simplifiying candidate # 244.397 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 244.398 * * [simplify]: iters left: 6 (16 enodes) 244.408 * * [simplify]: iters left: 5 (68 enodes) 244.435 * * [simplify]: iters left: 4 (110 enodes) 244.458 * * [simplify]: iters left: 3 (235 enodes) 244.523 * * [simplify]: Extracting #0: cost 1 inf + 0 244.523 * * [simplify]: Extracting #1: cost 27 inf + 0 244.523 * * [simplify]: Extracting #2: cost 126 inf + 1 244.524 * * [simplify]: Extracting #3: cost 152 inf + 302 244.525 * * [simplify]: Extracting #4: cost 116 inf + 6295 244.531 * * [simplify]: Extracting #5: cost 66 inf + 17092 244.543 * * [simplify]: Extracting #6: cost 4 inf + 33792 244.553 * * [simplify]: Extracting #7: cost 0 inf + 34986 244.559 * [simplify]: Simplified to (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k))) 244.559 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (+ (log PI) (log 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.560 * * * * [progress]: [ 357 / 425 ] simplifiying candidate # 244.560 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 244.560 * * [simplify]: iters left: 6 (15 enodes) 244.565 * * [simplify]: iters left: 5 (68 enodes) 244.577 * * [simplify]: iters left: 4 (113 enodes) 244.619 * * [simplify]: iters left: 3 (224 enodes) 244.677 * * [simplify]: Extracting #0: cost 1 inf + 0 244.677 * * [simplify]: Extracting #1: cost 24 inf + 0 244.678 * * [simplify]: Extracting #2: cost 115 inf + 1 244.679 * * [simplify]: Extracting #3: cost 150 inf + 6 244.680 * * [simplify]: Extracting #4: cost 137 inf + 1413 244.682 * * [simplify]: Extracting #5: cost 76 inf + 10237 244.687 * * [simplify]: Extracting #6: cost 6 inf + 26751 244.692 * * [simplify]: Extracting #7: cost 0 inf + 28782 244.698 * [simplify]: Simplified to (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) 244.698 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.698 * * * * [progress]: [ 358 / 425 ] simplifiying candidate # 244.698 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 244.698 * * [simplify]: iters left: 6 (15 enodes) 244.703 * * [simplify]: iters left: 5 (68 enodes) 244.724 * * [simplify]: iters left: 4 (113 enodes) 244.753 * * [simplify]: iters left: 3 (224 enodes) 244.824 * * [simplify]: Extracting #0: cost 1 inf + 0 244.824 * * [simplify]: Extracting #1: cost 24 inf + 0 244.825 * * [simplify]: Extracting #2: cost 115 inf + 1 244.825 * * [simplify]: Extracting #3: cost 150 inf + 6 244.827 * * [simplify]: Extracting #4: cost 137 inf + 1413 244.829 * * [simplify]: Extracting #5: cost 76 inf + 10237 244.834 * * [simplify]: Extracting #6: cost 6 inf + 26751 244.839 * * [simplify]: Extracting #7: cost 0 inf + 28782 244.845 * [simplify]: Simplified to (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k))) 244.845 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* PI 2)) (/ 4 (- 1 k))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 244.845 * * * * [progress]: [ 359 / 425 ] simplifiying candidate # 244.845 * [simplify]: Simplifying (+ (- (log 1) (log (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 244.845 * * [simplify]: iters left: 6 (15 enodes) 244.850 * * [simplify]: iters left: 5 (67 enodes) 244.862 * * [simplify]: iters left: 4 (112 enodes) 244.884 * * [simplify]: iters left: 3 (239 enodes) 244.978 * * [simplify]: Extracting #0: cost 1 inf + 0 244.978 * * [simplify]: Extracting #1: cost 27 inf + 0 244.978 * * [simplify]: Extracting #2: cost 145 inf + 1 244.979 * * [simplify]: Extracting #3: cost 214 inf + 6 244.980 * * [simplify]: Extracting #4: cost 182 inf + 4566 244.985 * * [simplify]: Extracting #5: cost 58 inf + 28859 244.992 * * [simplify]: Extracting #6: cost 1 inf + 47036 245.011 * * [simplify]: Extracting #7: cost 0 inf + 47380 245.028 * [simplify]: Simplified to (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k))) 245.028 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 4) (log (* PI 2))) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 245.028 * * * * [progress]: [ 360 / 425 ] simplifiying candidate # 245.029 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (+ (log 2) (log PI)) (/ (/ (- 1 k) 2) 2))) 245.029 * * [simplify]: iters left: 6 (15 enodes) 245.038 * * [simplify]: iters left: 5 (65 enodes) 245.059 * * [simplify]: iters left: 4 (104 enodes) 245.077 * * [simplify]: iters left: 3 (194 enodes) 245.144 * * [simplify]: iters left: 2 (355 enodes) 245.275 * * [simplify]: Extracting #0: cost 1 inf + 0 245.275 * * [simplify]: Extracting #1: cost 31 inf + 0 245.276 * * [simplify]: Extracting #2: cost 136 inf + 1 245.277 * * [simplify]: Extracting #3: cost 178 inf + 443 245.278 * * [simplify]: Extracting #4: cost 130 inf + 9898 245.283 * * [simplify]: Extracting #5: cost 31 inf + 30413 245.292 * * [simplify]: Extracting #6: cost 0 inf + 40233 245.300 * * [simplify]: Extracting #7: cost 0 inf + 40229 245.308 * [simplify]: Simplified to (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k))) 245.308 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log PI) (log 2)) (* k (+ (log PI) (log 2)))) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 245.308 * * * * [progress]: [ 361 / 425 ] simplifiying candidate # 245.308 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 245.309 * * [simplify]: iters left: 6 (14 enodes) 245.316 * * [simplify]: iters left: 5 (65 enodes) 245.327 * * [simplify]: iters left: 4 (107 enodes) 245.345 * * [simplify]: iters left: 3 (185 enodes) 245.391 * * [simplify]: iters left: 2 (334 enodes) 245.492 * * [simplify]: Extracting #0: cost 1 inf + 0 245.492 * * [simplify]: Extracting #1: cost 30 inf + 0 245.492 * * [simplify]: Extracting #2: cost 137 inf + 1 245.493 * * [simplify]: Extracting #3: cost 184 inf + 161 245.495 * * [simplify]: Extracting #4: cost 133 inf + 8593 245.500 * * [simplify]: Extracting #5: cost 25 inf + 29016 245.511 * * [simplify]: Extracting #6: cost 0 inf + 36185 245.521 * * [simplify]: Extracting #7: cost 0 inf + 36181 245.529 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 245.529 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 245.529 * * * * [progress]: [ 362 / 425 ] simplifiying candidate # 245.529 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (/ (- 1 k) 2) 2))) 245.530 * * [simplify]: iters left: 6 (14 enodes) 245.534 * * [simplify]: iters left: 5 (65 enodes) 245.545 * * [simplify]: iters left: 4 (107 enodes) 245.581 * * [simplify]: iters left: 3 (185 enodes) 245.615 * * [simplify]: iters left: 2 (334 enodes) 245.724 * * [simplify]: Extracting #0: cost 1 inf + 0 245.724 * * [simplify]: Extracting #1: cost 30 inf + 0 245.724 * * [simplify]: Extracting #2: cost 137 inf + 1 245.726 * * [simplify]: Extracting #3: cost 184 inf + 161 245.729 * * [simplify]: Extracting #4: cost 133 inf + 8593 245.741 * * [simplify]: Extracting #5: cost 25 inf + 29016 245.760 * * [simplify]: Extracting #6: cost 0 inf + 36185 245.772 * * [simplify]: Extracting #7: cost 0 inf + 36181 245.780 * [simplify]: Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k))) 245.780 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 4) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 245.780 * * * * [progress]: [ 363 / 425 ] simplifiying candidate # 245.781 * [simplify]: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 245.781 * * [simplify]: iters left: 6 (14 enodes) 245.785 * * [simplify]: iters left: 5 (64 enodes) 245.797 * * [simplify]: iters left: 4 (109 enodes) 245.816 * * [simplify]: iters left: 3 (211 enodes) 245.885 * * [simplify]: Extracting #0: cost 1 inf + 0 245.885 * * [simplify]: Extracting #1: cost 22 inf + 0 245.886 * * [simplify]: Extracting #2: cost 99 inf + 1 245.887 * * [simplify]: Extracting #3: cost 150 inf + 6 245.888 * * [simplify]: Extracting #4: cost 144 inf + 762 245.893 * * [simplify]: Extracting #5: cost 57 inf + 17481 245.904 * * [simplify]: Extracting #6: cost 5 inf + 33092 245.916 * * [simplify]: Extracting #7: cost 0 inf + 34018 245.928 * [simplify]: Simplified to (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k))) 245.928 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (exp (- (* (log (* 2 PI)) (/ (- 1 k) 4)) (log (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 245.929 * * * * [progress]: [ 364 / 425 ] simplifiying candidate # 245.929 * * * * [progress]: [ 365 / 425 ] simplifiying candidate # 245.929 * * * * [progress]: [ 366 / 425 ] simplifiying candidate # 245.929 * [simplify]: Simplifying (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 245.929 * * [simplify]: iters left: 6 (18 enodes) 245.941 * * [simplify]: iters left: 5 (77 enodes) 245.969 * * [simplify]: iters left: 4 (182 enodes) 246.094 * * [simplify]: Extracting #0: cost 1 inf + 0 246.094 * * [simplify]: Extracting #1: cost 52 inf + 0 246.095 * * [simplify]: Extracting #2: cost 154 inf + 206 246.101 * * [simplify]: Extracting #3: cost 164 inf + 1763 246.105 * * [simplify]: Extracting #4: cost 133 inf + 12121 246.114 * * [simplify]: Extracting #5: cost 49 inf + 48821 246.126 * * [simplify]: Extracting #6: cost 0 inf + 75566 246.141 * * [simplify]: Extracting #7: cost 0 inf + 72389 246.164 * [simplify]: Simplified to (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k)) 246.164 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (/ (* (pow (* PI 2) (- 1/4 (/ k 4))) (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt k)) (/ (pow (* PI 2) (- 1/4 (/ k 4))) k))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 246.164 * * * * [progress]: [ 367 / 425 ] simplifiying candidate # 246.165 * [simplify]: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 246.165 * * [simplify]: iters left: 6 (16 enodes) 246.175 * * [simplify]: iters left: 5 (78 enodes) 246.206 * * [simplify]: iters left: 4 (165 enodes) 246.259 * * [simplify]: iters left: 3 (487 enodes) 246.633 * * [simplify]: Extracting #0: cost 1 inf + 0 246.633 * * [simplify]: Extracting #1: cost 84 inf + 0 246.636 * * [simplify]: Extracting #2: cost 395 inf + 3 246.639 * * [simplify]: Extracting #3: cost 441 inf + 871 246.644 * * [simplify]: Extracting #4: cost 413 inf + 6673 246.662 * * [simplify]: Extracting #5: cost 227 inf + 108484 246.705 * * [simplify]: Extracting #6: cost 12 inf + 250771 246.779 * * [simplify]: Extracting #7: cost 0 inf + 252090 246.834 * * [simplify]: Extracting #8: cost 0 inf + 249576 246.901 * [simplify]: Simplified to (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 4)) k)) (pow (* PI 2) (/ (- 1 k) 4))) 246.901 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (/ (pow (* PI 2) (/ (- 1 k) 4)) k)) (pow (* PI 2) (/ (- 1 k) 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 246.901 * * * * [progress]: [ 368 / 425 ] simplifiying candidate # 246.901 * * * * [progress]: [ 369 / 425 ] simplifiying candidate # 246.901 * * * * [progress]: [ 370 / 425 ] simplifiying candidate # 246.901 * * * * [progress]: [ 371 / 425 ] simplifiying candidate # 246.902 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ 1 2) 2))) 246.902 * * [simplify]: iters left: 6 (8 enodes) 246.908 * * [simplify]: iters left: 5 (34 enodes) 246.923 * * [simplify]: iters left: 4 (55 enodes) 246.946 * * [simplify]: iters left: 3 (80 enodes) 246.978 * * [simplify]: iters left: 2 (135 enodes) 247.021 * * [simplify]: iters left: 1 (220 enodes) 247.091 * * [simplify]: Extracting #0: cost 1 inf + 0 247.092 * * [simplify]: Extracting #1: cost 17 inf + 0 247.092 * * [simplify]: Extracting #2: cost 58 inf + 3 247.092 * * [simplify]: Extracting #3: cost 60 inf + 10 247.093 * * [simplify]: Extracting #4: cost 46 inf + 3934 247.098 * * [simplify]: Extracting #5: cost 10 inf + 24237 247.103 * * [simplify]: Extracting #6: cost 0 inf + 29950 247.109 * [simplify]: Simplified to (pow (* PI 2) 1/4) 247.109 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 247.109 * [simplify]: Simplifying (* (sqrt k) (pow (* 2 PI) (/ (/ k 2) 2))) 247.109 * * [simplify]: iters left: 6 (9 enodes) 247.114 * * [simplify]: iters left: 5 (35 enodes) 247.126 * * [simplify]: iters left: 4 (51 enodes) 247.144 * * [simplify]: iters left: 3 (92 enodes) 247.175 * * [simplify]: iters left: 2 (205 enodes) 247.273 * * [simplify]: Extracting #0: cost 1 inf + 0 247.273 * * [simplify]: Extracting #1: cost 28 inf + 0 247.274 * * [simplify]: Extracting #2: cost 97 inf + 0 247.275 * * [simplify]: Extracting #3: cost 125 inf + 86 247.276 * * [simplify]: Extracting #4: cost 114 inf + 2462 247.283 * * [simplify]: Extracting #5: cost 35 inf + 30951 247.295 * * [simplify]: Extracting #6: cost 2 inf + 51027 247.308 * * [simplify]: Extracting #7: cost 0 inf + 51554 247.323 * * [simplify]: Extracting #8: cost 0 inf + 51475 247.330 * [simplify]: Simplified to (* (sqrt k) (pow (* 2 PI) (/ k 4))) 247.330 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (pow (* PI 2) 1/4) (* (sqrt k) (pow (* 2 PI) (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 247.330 * * * * [progress]: [ 372 / 425 ] simplifiying candidate # 247.330 * * * * [progress]: [ 373 / 425 ] simplifiying candidate # 247.330 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 247.331 * * [simplify]: iters left: 6 (14 enodes) 247.335 * * [simplify]: iters left: 5 (58 enodes) 247.346 * * [simplify]: iters left: 4 (90 enodes) 247.370 * * [simplify]: iters left: 3 (138 enodes) 247.400 * * [simplify]: iters left: 2 (233 enodes) 247.478 * * [simplify]: iters left: 1 (428 enodes) 247.733 * * [simplify]: Extracting #0: cost 1 inf + 0 247.734 * * [simplify]: Extracting #1: cost 4 inf + 0 247.734 * * [simplify]: Extracting #2: cost 9 inf + 0 247.734 * * [simplify]: Extracting #3: cost 37 inf + 0 247.735 * * [simplify]: Extracting #4: cost 120 inf + 2 247.737 * * [simplify]: Extracting #5: cost 173 inf + 590 247.741 * * [simplify]: Extracting #6: cost 114 inf + 7925 247.748 * * [simplify]: Extracting #7: cost 50 inf + 19434 247.765 * * [simplify]: Extracting #8: cost 4 inf + 53318 247.777 * * [simplify]: Extracting #9: cost 0 inf + 56440 247.786 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 247.786 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 247.787 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 247.787 * * [simplify]: iters left: 6 (14 enodes) 247.791 * * [simplify]: iters left: 5 (58 enodes) 247.811 * * [simplify]: iters left: 4 (90 enodes) 247.841 * * [simplify]: iters left: 3 (138 enodes) 247.890 * * [simplify]: iters left: 2 (233 enodes) 247.958 * * [simplify]: iters left: 1 (428 enodes) 248.197 * * [simplify]: Extracting #0: cost 1 inf + 0 248.197 * * [simplify]: Extracting #1: cost 4 inf + 0 248.197 * * [simplify]: Extracting #2: cost 9 inf + 0 248.197 * * [simplify]: Extracting #3: cost 37 inf + 0 248.198 * * [simplify]: Extracting #4: cost 120 inf + 2 248.198 * * [simplify]: Extracting #5: cost 173 inf + 590 248.201 * * [simplify]: Extracting #6: cost 114 inf + 7925 248.205 * * [simplify]: Extracting #7: cost 50 inf + 19434 248.219 * * [simplify]: Extracting #8: cost 4 inf + 53318 248.228 * * [simplify]: Extracting #9: cost 0 inf + 56440 248.247 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4))))) 248.247 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 248.247 * * * * [progress]: [ 374 / 425 ] simplifiying candidate # 248.247 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 248.248 * * [simplify]: iters left: 6 (14 enodes) 248.256 * * [simplify]: iters left: 5 (59 enodes) 248.278 * * [simplify]: iters left: 4 (100 enodes) 248.300 * * [simplify]: iters left: 3 (175 enodes) 248.351 * * [simplify]: iters left: 2 (324 enodes) 248.459 * * [simplify]: Extracting #0: cost 1 inf + 0 248.459 * * [simplify]: Extracting #1: cost 28 inf + 0 248.459 * * [simplify]: Extracting #2: cost 98 inf + 0 248.460 * * [simplify]: Extracting #3: cost 152 inf + 2 248.462 * * [simplify]: Extracting #4: cost 169 inf + 15 248.464 * * [simplify]: Extracting #5: cost 146 inf + 1919 248.469 * * [simplify]: Extracting #6: cost 82 inf + 9975 248.478 * * [simplify]: Extracting #7: cost 35 inf + 37381 248.487 * * [simplify]: Extracting #8: cost 3 inf + 62746 248.497 * * [simplify]: Extracting #9: cost 0 inf + 64992 248.508 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 248.508 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 248.509 * [simplify]: Simplifying (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 248.509 * * [simplify]: iters left: 6 (14 enodes) 248.517 * * [simplify]: iters left: 5 (59 enodes) 248.540 * * [simplify]: iters left: 4 (100 enodes) 248.578 * * [simplify]: iters left: 3 (175 enodes) 248.611 * * [simplify]: iters left: 2 (324 enodes) 248.746 * * [simplify]: Extracting #0: cost 1 inf + 0 248.746 * * [simplify]: Extracting #1: cost 28 inf + 0 248.746 * * [simplify]: Extracting #2: cost 98 inf + 0 248.747 * * [simplify]: Extracting #3: cost 152 inf + 2 248.747 * * [simplify]: Extracting #4: cost 169 inf + 15 248.748 * * [simplify]: Extracting #5: cost 146 inf + 1919 248.751 * * [simplify]: Extracting #6: cost 82 inf + 9975 248.755 * * [simplify]: Extracting #7: cost 35 inf + 37381 248.764 * * [simplify]: Extracting #8: cost 3 inf + 62746 248.779 * * [simplify]: Extracting #9: cost 0 inf + 64992 248.790 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8))) 248.791 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 8)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 248.791 * * * * [progress]: [ 375 / 425 ] simplifiying candidate # 248.791 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 248.791 * * [simplify]: iters left: 6 (15 enodes) 248.797 * * [simplify]: iters left: 5 (63 enodes) 248.808 * * [simplify]: iters left: 4 (95 enodes) 248.828 * * [simplify]: iters left: 3 (147 enodes) 248.875 * * [simplify]: iters left: 2 (255 enodes) 248.936 * * [simplify]: iters left: 1 (471 enodes) 249.093 * * [simplify]: Extracting #0: cost 1 inf + 0 249.093 * * [simplify]: Extracting #1: cost 7 inf + 0 249.093 * * [simplify]: Extracting #2: cost 13 inf + 1 249.093 * * [simplify]: Extracting #3: cost 41 inf + 1 249.094 * * [simplify]: Extracting #4: cost 120 inf + 288 249.096 * * [simplify]: Extracting #5: cost 173 inf + 750 249.101 * * [simplify]: Extracting #6: cost 88 inf + 23219 249.111 * * [simplify]: Extracting #7: cost 3 inf + 57695 249.121 * * [simplify]: Extracting #8: cost 0 inf + 58936 249.140 * * [simplify]: Extracting #9: cost 0 inf + 58553 249.161 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 249.161 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 249.161 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 249.162 * * [simplify]: iters left: 6 (15 enodes) 249.173 * * [simplify]: iters left: 5 (63 enodes) 249.194 * * [simplify]: iters left: 4 (95 enodes) 249.220 * * [simplify]: iters left: 3 (147 enodes) 249.252 * * [simplify]: iters left: 2 (255 enodes) 249.338 * * [simplify]: iters left: 1 (471 enodes) 249.559 * * [simplify]: Extracting #0: cost 1 inf + 0 249.559 * * [simplify]: Extracting #1: cost 7 inf + 0 249.559 * * [simplify]: Extracting #2: cost 13 inf + 1 249.559 * * [simplify]: Extracting #3: cost 41 inf + 1 249.560 * * [simplify]: Extracting #4: cost 120 inf + 288 249.561 * * [simplify]: Extracting #5: cost 173 inf + 750 249.564 * * [simplify]: Extracting #6: cost 88 inf + 23219 249.573 * * [simplify]: Extracting #7: cost 3 inf + 57695 249.597 * * [simplify]: Extracting #8: cost 0 inf + 58936 249.617 * * [simplify]: Extracting #9: cost 0 inf + 58553 249.637 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 249.638 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 249.638 * * * * [progress]: [ 376 / 425 ] simplifiying candidate # 249.638 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 249.638 * * [simplify]: iters left: 6 (15 enodes) 249.648 * * [simplify]: iters left: 5 (64 enodes) 249.670 * * [simplify]: iters left: 4 (100 enodes) 249.707 * * [simplify]: iters left: 3 (177 enodes) 249.784 * * [simplify]: iters left: 2 (379 enodes) 249.930 * * [simplify]: Extracting #0: cost 1 inf + 0 249.931 * * [simplify]: Extracting #1: cost 45 inf + 0 249.931 * * [simplify]: Extracting #2: cost 115 inf + 1 249.931 * * [simplify]: Extracting #3: cost 168 inf + 3 249.932 * * [simplify]: Extracting #4: cost 176 inf + 550 249.934 * * [simplify]: Extracting #5: cost 130 inf + 6470 249.939 * * [simplify]: Extracting #6: cost 64 inf + 25195 249.951 * * [simplify]: Extracting #7: cost 7 inf + 68871 249.963 * * [simplify]: Extracting #8: cost 0 inf + 75384 249.974 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 249.974 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 249.974 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 249.975 * * [simplify]: iters left: 6 (15 enodes) 249.980 * * [simplify]: iters left: 5 (64 enodes) 249.991 * * [simplify]: iters left: 4 (100 enodes) 250.010 * * [simplify]: iters left: 3 (177 enodes) 250.084 * * [simplify]: iters left: 2 (379 enodes) 250.235 * * [simplify]: Extracting #0: cost 1 inf + 0 250.236 * * [simplify]: Extracting #1: cost 45 inf + 0 250.236 * * [simplify]: Extracting #2: cost 115 inf + 1 250.237 * * [simplify]: Extracting #3: cost 168 inf + 3 250.239 * * [simplify]: Extracting #4: cost 176 inf + 550 250.242 * * [simplify]: Extracting #5: cost 130 inf + 6470 250.251 * * [simplify]: Extracting #6: cost 64 inf + 25195 250.265 * * [simplify]: Extracting #7: cost 7 inf + 68871 250.276 * * [simplify]: Extracting #8: cost 0 inf + 75384 250.299 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 250.299 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 250.300 * * * * [progress]: [ 377 / 425 ] simplifiying candidate # 250.300 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 250.300 * * [simplify]: iters left: 6 (15 enodes) 250.311 * * [simplify]: iters left: 5 (63 enodes) 250.333 * * [simplify]: iters left: 4 (95 enodes) 250.366 * * [simplify]: iters left: 3 (147 enodes) 250.422 * * [simplify]: iters left: 2 (255 enodes) 250.486 * * [simplify]: iters left: 1 (471 enodes) 250.729 * * [simplify]: Extracting #0: cost 1 inf + 0 250.729 * * [simplify]: Extracting #1: cost 7 inf + 0 250.729 * * [simplify]: Extracting #2: cost 13 inf + 1 250.730 * * [simplify]: Extracting #3: cost 41 inf + 1 250.730 * * [simplify]: Extracting #4: cost 120 inf + 288 250.732 * * [simplify]: Extracting #5: cost 173 inf + 750 250.737 * * [simplify]: Extracting #6: cost 88 inf + 23219 250.749 * * [simplify]: Extracting #7: cost 3 inf + 57695 250.759 * * [simplify]: Extracting #8: cost 0 inf + 58936 250.769 * * [simplify]: Extracting #9: cost 0 inf + 58553 250.786 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 250.787 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 250.787 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 250.787 * * [simplify]: iters left: 6 (15 enodes) 250.797 * * [simplify]: iters left: 5 (63 enodes) 250.809 * * [simplify]: iters left: 4 (95 enodes) 250.826 * * [simplify]: iters left: 3 (147 enodes) 250.861 * * [simplify]: iters left: 2 (255 enodes) 250.936 * * [simplify]: iters left: 1 (471 enodes) 251.153 * * [simplify]: Extracting #0: cost 1 inf + 0 251.154 * * [simplify]: Extracting #1: cost 7 inf + 0 251.154 * * [simplify]: Extracting #2: cost 13 inf + 1 251.154 * * [simplify]: Extracting #3: cost 41 inf + 1 251.155 * * [simplify]: Extracting #4: cost 120 inf + 288 251.159 * * [simplify]: Extracting #5: cost 173 inf + 750 251.162 * * [simplify]: Extracting #6: cost 88 inf + 23219 251.171 * * [simplify]: Extracting #7: cost 3 inf + 57695 251.191 * * [simplify]: Extracting #8: cost 0 inf + 58936 251.211 * * [simplify]: Extracting #9: cost 0 inf + 58553 251.231 * [simplify]: Simplified to (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 251.231 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* PI 2) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 251.231 * * * * [progress]: [ 378 / 425 ] simplifiying candidate # 251.231 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 251.232 * * [simplify]: iters left: 6 (15 enodes) 251.242 * * [simplify]: iters left: 5 (64 enodes) 251.256 * * [simplify]: iters left: 4 (100 enodes) 251.277 * * [simplify]: iters left: 3 (177 enodes) 251.342 * * [simplify]: iters left: 2 (379 enodes) 251.486 * * [simplify]: Extracting #0: cost 1 inf + 0 251.486 * * [simplify]: Extracting #1: cost 45 inf + 0 251.487 * * [simplify]: Extracting #2: cost 115 inf + 1 251.488 * * [simplify]: Extracting #3: cost 168 inf + 3 251.489 * * [simplify]: Extracting #4: cost 176 inf + 550 251.492 * * [simplify]: Extracting #5: cost 130 inf + 6470 251.502 * * [simplify]: Extracting #6: cost 64 inf + 25195 251.514 * * [simplify]: Extracting #7: cost 7 inf + 68871 251.526 * * [simplify]: Extracting #8: cost 0 inf + 75384 251.538 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 251.538 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 251.538 * [simplify]: Simplifying (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 251.538 * * [simplify]: iters left: 6 (15 enodes) 251.546 * * [simplify]: iters left: 5 (64 enodes) 251.560 * * [simplify]: iters left: 4 (100 enodes) 251.582 * * [simplify]: iters left: 3 (177 enodes) 251.650 * * [simplify]: iters left: 2 (379 enodes) 251.786 * * [simplify]: Extracting #0: cost 1 inf + 0 251.787 * * [simplify]: Extracting #1: cost 45 inf + 0 251.787 * * [simplify]: Extracting #2: cost 115 inf + 1 251.788 * * [simplify]: Extracting #3: cost 168 inf + 3 251.790 * * [simplify]: Extracting #4: cost 176 inf + 550 251.793 * * [simplify]: Extracting #5: cost 130 inf + 6470 251.802 * * [simplify]: Extracting #6: cost 64 inf + 25195 251.824 * * [simplify]: Extracting #7: cost 7 inf + 68871 251.847 * * [simplify]: Extracting #8: cost 0 inf + 75384 251.870 * [simplify]: Simplified to (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k))) 251.870 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* PI 2) (/ (- 1 k) 8)) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 251.870 * * * * [progress]: [ 379 / 425 ] simplifiying candidate # 251.871 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 251.871 * * [simplify]: iters left: 6 (14 enodes) 251.879 * * [simplify]: iters left: 5 (60 enodes) 251.898 * * [simplify]: iters left: 4 (96 enodes) 251.919 * * [simplify]: iters left: 3 (158 enodes) 251.962 * * [simplify]: iters left: 2 (254 enodes) 252.022 * * [simplify]: iters left: 1 (446 enodes) 252.199 * * [simplify]: Extracting #0: cost 1 inf + 0 252.200 * * [simplify]: Extracting #1: cost 7 inf + 0 252.200 * * [simplify]: Extracting #2: cost 13 inf + 1 252.200 * * [simplify]: Extracting #3: cost 37 inf + 1 252.200 * * [simplify]: Extracting #4: cost 115 inf + 3 252.201 * * [simplify]: Extracting #5: cost 159 inf + 794 252.207 * * [simplify]: Extracting #6: cost 90 inf + 12154 252.215 * * [simplify]: Extracting #7: cost 15 inf + 44825 252.233 * * [simplify]: Extracting #8: cost 0 inf + 54979 252.243 * * [simplify]: Extracting #9: cost 0 inf + 54487 252.252 * * [simplify]: Extracting #10: cost 0 inf + 54447 252.260 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 252.260 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 252.260 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 252.261 * * [simplify]: iters left: 6 (14 enodes) 252.266 * * [simplify]: iters left: 5 (60 enodes) 252.280 * * [simplify]: iters left: 4 (96 enodes) 252.300 * * [simplify]: iters left: 3 (158 enodes) 252.354 * * [simplify]: iters left: 2 (254 enodes) 252.409 * * [simplify]: iters left: 1 (446 enodes) 252.606 * * [simplify]: Extracting #0: cost 1 inf + 0 252.606 * * [simplify]: Extracting #1: cost 7 inf + 0 252.606 * * [simplify]: Extracting #2: cost 13 inf + 1 252.606 * * [simplify]: Extracting #3: cost 37 inf + 1 252.607 * * [simplify]: Extracting #4: cost 115 inf + 3 252.608 * * [simplify]: Extracting #5: cost 159 inf + 794 252.618 * * [simplify]: Extracting #6: cost 90 inf + 12154 252.629 * * [simplify]: Extracting #7: cost 15 inf + 44825 252.647 * * [simplify]: Extracting #8: cost 0 inf + 54979 252.664 * * [simplify]: Extracting #9: cost 0 inf + 54487 252.681 * * [simplify]: Extracting #10: cost 0 inf + 54447 252.698 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 252.698 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 252.698 * * * * [progress]: [ 380 / 425 ] simplifiying candidate # 252.698 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 252.699 * * [simplify]: iters left: 6 (14 enodes) 252.706 * * [simplify]: iters left: 5 (61 enodes) 252.729 * * [simplify]: iters left: 4 (108 enodes) 252.765 * * [simplify]: iters left: 3 (207 enodes) 252.817 * * [simplify]: iters left: 2 (388 enodes) 252.931 * * [simplify]: Extracting #0: cost 1 inf + 0 252.931 * * [simplify]: Extracting #1: cost 39 inf + 0 252.932 * * [simplify]: Extracting #2: cost 124 inf + 1 252.932 * * [simplify]: Extracting #3: cost 181 inf + 3 252.933 * * [simplify]: Extracting #4: cost 172 inf + 1626 252.936 * * [simplify]: Extracting #5: cost 110 inf + 14321 252.944 * * [simplify]: Extracting #6: cost 18 inf + 67331 252.957 * * [simplify]: Extracting #7: cost 0 inf + 79580 252.969 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 252.969 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 252.969 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 252.970 * * [simplify]: iters left: 6 (14 enodes) 252.977 * * [simplify]: iters left: 5 (61 enodes) 252.992 * * [simplify]: iters left: 4 (108 enodes) 253.013 * * [simplify]: iters left: 3 (207 enodes) 253.071 * * [simplify]: iters left: 2 (388 enodes) 253.205 * * [simplify]: Extracting #0: cost 1 inf + 0 253.205 * * [simplify]: Extracting #1: cost 39 inf + 0 253.206 * * [simplify]: Extracting #2: cost 124 inf + 1 253.206 * * [simplify]: Extracting #3: cost 181 inf + 3 253.207 * * [simplify]: Extracting #4: cost 172 inf + 1626 253.210 * * [simplify]: Extracting #5: cost 110 inf + 14321 253.221 * * [simplify]: Extracting #6: cost 18 inf + 67331 253.233 * * [simplify]: Extracting #7: cost 0 inf + 79580 253.246 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 253.246 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 253.246 * * * * [progress]: [ 381 / 425 ] simplifiying candidate # 253.247 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 253.247 * * [simplify]: iters left: 6 (14 enodes) 253.255 * * [simplify]: iters left: 5 (60 enodes) 253.276 * * [simplify]: iters left: 4 (96 enodes) 253.310 * * [simplify]: iters left: 3 (158 enodes) 253.365 * * [simplify]: iters left: 2 (254 enodes) 253.430 * * [simplify]: iters left: 1 (446 enodes) 253.621 * * [simplify]: Extracting #0: cost 1 inf + 0 253.621 * * [simplify]: Extracting #1: cost 7 inf + 0 253.621 * * [simplify]: Extracting #2: cost 13 inf + 1 253.622 * * [simplify]: Extracting #3: cost 37 inf + 1 253.622 * * [simplify]: Extracting #4: cost 115 inf + 3 253.624 * * [simplify]: Extracting #5: cost 159 inf + 794 253.629 * * [simplify]: Extracting #6: cost 90 inf + 12154 253.643 * * [simplify]: Extracting #7: cost 15 inf + 44825 253.660 * * [simplify]: Extracting #8: cost 0 inf + 54979 253.677 * * [simplify]: Extracting #9: cost 0 inf + 54487 253.686 * * [simplify]: Extracting #10: cost 0 inf + 54447 253.695 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 253.695 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 253.695 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) 253.695 * * [simplify]: iters left: 6 (14 enodes) 253.703 * * [simplify]: iters left: 5 (60 enodes) 253.721 * * [simplify]: iters left: 4 (96 enodes) 253.738 * * [simplify]: iters left: 3 (158 enodes) 253.771 * * [simplify]: iters left: 2 (254 enodes) 253.836 * * [simplify]: iters left: 1 (446 enodes) 254.046 * * [simplify]: Extracting #0: cost 1 inf + 0 254.046 * * [simplify]: Extracting #1: cost 7 inf + 0 254.046 * * [simplify]: Extracting #2: cost 13 inf + 1 254.046 * * [simplify]: Extracting #3: cost 37 inf + 1 254.046 * * [simplify]: Extracting #4: cost 115 inf + 3 254.047 * * [simplify]: Extracting #5: cost 159 inf + 794 254.050 * * [simplify]: Extracting #6: cost 90 inf + 12154 254.056 * * [simplify]: Extracting #7: cost 15 inf + 44825 254.065 * * [simplify]: Extracting #8: cost 0 inf + 54979 254.076 * * [simplify]: Extracting #9: cost 0 inf + 54487 254.092 * * [simplify]: Extracting #10: cost 0 inf + 54447 254.110 * [simplify]: Simplified to (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k))) 254.110 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 254.110 * * * * [progress]: [ 382 / 425 ] simplifiying candidate # 254.110 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 254.111 * * [simplify]: iters left: 6 (14 enodes) 254.119 * * [simplify]: iters left: 5 (61 enodes) 254.141 * * [simplify]: iters left: 4 (108 enodes) 254.182 * * [simplify]: iters left: 3 (207 enodes) 254.703 * * [simplify]: iters left: 2 (388 enodes) 254.883 * * [simplify]: Extracting #0: cost 1 inf + 0 254.883 * * [simplify]: Extracting #1: cost 39 inf + 0 254.884 * * [simplify]: Extracting #2: cost 124 inf + 1 254.884 * * [simplify]: Extracting #3: cost 181 inf + 3 254.885 * * [simplify]: Extracting #4: cost 172 inf + 1626 254.888 * * [simplify]: Extracting #5: cost 110 inf + 14321 254.896 * * [simplify]: Extracting #6: cost 18 inf + 67331 254.908 * * [simplify]: Extracting #7: cost 0 inf + 79580 254.925 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 254.925 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 254.926 * [simplify]: Simplifying (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) 254.926 * * [simplify]: iters left: 6 (14 enodes) 254.934 * * [simplify]: iters left: 5 (61 enodes) 254.957 * * [simplify]: iters left: 4 (108 enodes) 255.001 * * [simplify]: iters left: 3 (207 enodes) 255.078 * * [simplify]: iters left: 2 (388 enodes) 255.216 * * [simplify]: Extracting #0: cost 1 inf + 0 255.216 * * [simplify]: Extracting #1: cost 39 inf + 0 255.216 * * [simplify]: Extracting #2: cost 124 inf + 1 255.217 * * [simplify]: Extracting #3: cost 181 inf + 3 255.218 * * [simplify]: Extracting #4: cost 172 inf + 1626 255.221 * * [simplify]: Extracting #5: cost 110 inf + 14321 255.229 * * [simplify]: Extracting #6: cost 18 inf + 67331 255.241 * * [simplify]: Extracting #7: cost 0 inf + 79580 255.267 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k))) 255.267 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (pow (* 2 PI) (- 1/8 (/ k 8))) (sqrt (sqrt k)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 255.267 * * * * [progress]: [ 383 / 425 ] simplifiying candidate # 255.268 * [simplify]: Simplifying (pow PI (/ (/ (- 1 k) 2) 2)) 255.268 * * [simplify]: iters left: 6 (8 enodes) 255.274 * * [simplify]: iters left: 5 (38 enodes) 255.287 * * [simplify]: iters left: 4 (66 enodes) 255.310 * * [simplify]: iters left: 3 (110 enodes) 255.347 * * [simplify]: iters left: 2 (200 enodes) 255.400 * * [simplify]: iters left: 1 (403 enodes) 255.566 * * [simplify]: Extracting #0: cost 1 inf + 0 255.566 * * [simplify]: Extracting #1: cost 26 inf + 0 255.567 * * [simplify]: Extracting #2: cost 100 inf + 2 255.568 * * [simplify]: Extracting #3: cost 164 inf + 10 255.569 * * [simplify]: Extracting #4: cost 163 inf + 641 255.575 * * [simplify]: Extracting #5: cost 72 inf + 12998 255.586 * * [simplify]: Extracting #6: cost 25 inf + 35040 255.602 * * [simplify]: Extracting #7: cost 0 inf + 54806 255.618 * [simplify]: Simplified to (pow PI (- 1/4 (/ k 4))) 255.618 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (/ (- 1 k) 2) 2))) (pow PI (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 255.619 * * * * [progress]: [ 384 / 425 ] simplifiying candidate # 255.619 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 255.619 * * [simplify]: iters left: 6 (10 enodes) 255.626 * * [simplify]: iters left: 5 (45 enodes) 255.641 * * [simplify]: iters left: 4 (70 enodes) 255.653 * * [simplify]: iters left: 3 (113 enodes) 255.675 * * [simplify]: iters left: 2 (216 enodes) 255.736 * * [simplify]: iters left: 1 (429 enodes) 255.923 * * [simplify]: Extracting #0: cost 1 inf + 0 255.923 * * [simplify]: Extracting #1: cost 3 inf + 0 255.923 * * [simplify]: Extracting #2: cost 27 inf + 0 255.923 * * [simplify]: Extracting #3: cost 103 inf + 1 255.924 * * [simplify]: Extracting #4: cost 159 inf + 94 255.924 * * [simplify]: Extracting #5: cost 167 inf + 636 255.928 * * [simplify]: Extracting #6: cost 75 inf + 16505 255.946 * * [simplify]: Extracting #7: cost 8 inf + 44424 255.976 * * [simplify]: Extracting #8: cost 0 inf + 48545 256.011 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 4))) 256.011 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 256.011 * * * * [progress]: [ 385 / 425 ] simplifiying candidate # 256.012 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 256.012 * * [simplify]: iters left: 6 (10 enodes) 256.018 * * [simplify]: iters left: 5 (45 enodes) 256.033 * * [simplify]: iters left: 4 (71 enodes) 256.045 * * [simplify]: iters left: 3 (114 enodes) 256.067 * * [simplify]: iters left: 2 (215 enodes) 256.141 * * [simplify]: iters left: 1 (432 enodes) 256.328 * * [simplify]: Extracting #0: cost 1 inf + 0 256.328 * * [simplify]: Extracting #1: cost 4 inf + 0 256.328 * * [simplify]: Extracting #2: cost 29 inf + 0 256.329 * * [simplify]: Extracting #3: cost 120 inf + 1 256.330 * * [simplify]: Extracting #4: cost 164 inf + 95 256.332 * * [simplify]: Extracting #5: cost 168 inf + 846 256.338 * * [simplify]: Extracting #6: cost 75 inf + 18047 256.353 * * [simplify]: Extracting #7: cost 5 inf + 55674 256.363 * * [simplify]: Extracting #8: cost 0 inf + 58844 256.373 * [simplify]: Simplified to (sqrt (pow (* 2 PI) (/ (- 1 k) 4))) 256.373 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 256.373 * * * * [progress]: [ 386 / 425 ] simplifiying candidate # 256.373 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 256.373 * * [simplify]: iters left: 6 (9 enodes) 256.376 * * [simplify]: iters left: 5 (42 enodes) 256.388 * * [simplify]: iters left: 4 (70 enodes) 256.413 * * [simplify]: iters left: 3 (117 enodes) 256.459 * * [simplify]: iters left: 2 (232 enodes) 256.533 * * [simplify]: iters left: 1 (454 enodes) 256.768 * * [simplify]: Extracting #0: cost 1 inf + 0 256.769 * * [simplify]: Extracting #1: cost 25 inf + 0 256.769 * * [simplify]: Extracting #2: cost 104 inf + 1 256.770 * * [simplify]: Extracting #3: cost 174 inf + 94 256.771 * * [simplify]: Extracting #4: cost 157 inf + 2461 256.774 * * [simplify]: Extracting #5: cost 65 inf + 14842 256.780 * * [simplify]: Extracting #6: cost 25 inf + 35839 256.789 * * [simplify]: Extracting #7: cost 2 inf + 54310 256.804 * * [simplify]: Extracting #8: cost 0 inf + 55922 256.823 * * [simplify]: Extracting #9: cost 0 inf + 55540 256.846 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 256.846 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (- 1/4 (/ k 4)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 256.846 * * * * [progress]: [ 387 / 425 ] simplifiying candidate # 256.847 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) 256.847 * * [simplify]: iters left: 6 (10 enodes) 256.854 * * [simplify]: iters left: 5 (46 enodes) 256.869 * * [simplify]: iters left: 4 (76 enodes) 256.893 * * [simplify]: iters left: 3 (137 enodes) 256.921 * * [simplify]: iters left: 2 (275 enodes) 256.982 * * [simplify]: Extracting #0: cost 1 inf + 0 256.982 * * [simplify]: Extracting #1: cost 12 inf + 0 256.982 * * [simplify]: Extracting #2: cost 63 inf + 1 256.983 * * [simplify]: Extracting #3: cost 110 inf + 10 256.984 * * [simplify]: Extracting #4: cost 99 inf + 1259 256.986 * * [simplify]: Extracting #5: cost 34 inf + 9762 256.989 * * [simplify]: Extracting #6: cost 6 inf + 22531 256.993 * * [simplify]: Extracting #7: cost 0 inf + 26696 256.998 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 8)) 256.998 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (- 1 k) 8))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 256.998 * * * * [progress]: [ 388 / 425 ] simplifiying candidate # 256.998 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 256.998 * * [simplify]: iters left: 6 (6 enodes) 257.000 * * [simplify]: iters left: 5 (20 enodes) 257.006 * * [simplify]: iters left: 4 (22 enodes) 257.009 * * [simplify]: Extracting #0: cost 1 inf + 0 257.009 * * [simplify]: Extracting #1: cost 3 inf + 0 257.009 * * [simplify]: Extracting #2: cost 5 inf + 0 257.009 * * [simplify]: Extracting #3: cost 8 inf + 0 257.009 * * [simplify]: Extracting #4: cost 9 inf + 1 257.009 * * [simplify]: Extracting #5: cost 8 inf + 2 257.010 * * [simplify]: Extracting #6: cost 1 inf + 774 257.010 * * [simplify]: Extracting #7: cost 0 inf + 976 257.010 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 257.010 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.011 * * * * [progress]: [ 389 / 425 ] simplifiying candidate # 257.011 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k))) 257.011 * * [simplify]: iters left: 4 (5 enodes) 257.014 * * [simplify]: iters left: 3 (17 enodes) 257.019 * * [simplify]: iters left: 2 (19 enodes) 257.024 * * [simplify]: Extracting #0: cost 1 inf + 0 257.024 * * [simplify]: Extracting #1: cost 3 inf + 0 257.024 * * [simplify]: Extracting #2: cost 6 inf + 0 257.025 * * [simplify]: Extracting #3: cost 7 inf + 1 257.025 * * [simplify]: Extracting #4: cost 0 inf + 492 257.025 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k))) 257.025 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.025 * * * * [progress]: [ 390 / 425 ] simplifiying candidate # 257.025 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.026 * * [simplify]: iters left: 6 (8 enodes) 257.030 * * [simplify]: iters left: 5 (32 enodes) 257.041 * * [simplify]: iters left: 4 (48 enodes) 257.056 * * [simplify]: iters left: 3 (76 enodes) 257.073 * * [simplify]: iters left: 2 (81 enodes) 257.080 * * [simplify]: Extracting #0: cost 1 inf + 0 257.080 * * [simplify]: Extracting #1: cost 6 inf + 0 257.080 * * [simplify]: Extracting #2: cost 9 inf + 1 257.080 * * [simplify]: Extracting #3: cost 11 inf + 1 257.080 * * [simplify]: Extracting #4: cost 2 inf + 1052 257.080 * * [simplify]: Extracting #5: cost 0 inf + 1376 257.081 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.081 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.081 * * * * [progress]: [ 391 / 425 ] simplifiying candidate # 257.081 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 257.081 * * [simplify]: iters left: 6 (8 enodes) 257.084 * * [simplify]: iters left: 5 (29 enodes) 257.088 * * [simplify]: iters left: 4 (31 enodes) 257.092 * * [simplify]: Extracting #0: cost 1 inf + 0 257.093 * * [simplify]: Extracting #1: cost 4 inf + 0 257.093 * * [simplify]: Extracting #2: cost 6 inf + 1 257.093 * * [simplify]: Extracting #3: cost 9 inf + 1 257.093 * * [simplify]: Extracting #4: cost 8 inf + 2 257.093 * * [simplify]: Extracting #5: cost 2 inf + 729 257.093 * * [simplify]: Extracting #6: cost 0 inf + 972 257.093 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 257.093 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.093 * * * * [progress]: [ 392 / 425 ] simplifiying candidate # 257.093 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 257.093 * * [simplify]: iters left: 5 (7 enodes) 257.096 * * [simplify]: iters left: 4 (25 enodes) 257.101 * * [simplify]: iters left: 3 (27 enodes) 257.105 * * [simplify]: Extracting #0: cost 1 inf + 0 257.105 * * [simplify]: Extracting #1: cost 4 inf + 0 257.105 * * [simplify]: Extracting #2: cost 5 inf + 1 257.105 * * [simplify]: Extracting #3: cost 7 inf + 1 257.105 * * [simplify]: Extracting #4: cost 6 inf + 2 257.105 * * [simplify]: Extracting #5: cost 2 inf + 368 257.105 * * [simplify]: Extracting #6: cost 0 inf + 490 257.105 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.105 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.105 * * * * [progress]: [ 393 / 425 ] simplifiying candidate # 257.105 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 257.105 * * [simplify]: iters left: 5 (5 enodes) 257.111 * * [simplify]: iters left: 4 (19 enodes) 257.115 * * [simplify]: iters left: 3 (21 enodes) 257.117 * * [simplify]: Extracting #0: cost 1 inf + 0 257.117 * * [simplify]: Extracting #1: cost 0 inf + 1 257.117 * [simplify]: Simplified to 1 257.117 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.118 * * * * [progress]: [ 394 / 425 ] simplifiying candidate # 257.118 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 257.118 * * [simplify]: iters left: 5 (7 enodes) 257.120 * * [simplify]: iters left: 4 (25 enodes) 257.125 * * [simplify]: iters left: 3 (27 enodes) 257.128 * * [simplify]: Extracting #0: cost 1 inf + 0 257.128 * * [simplify]: Extracting #1: cost 4 inf + 0 257.128 * * [simplify]: Extracting #2: cost 5 inf + 1 257.128 * * [simplify]: Extracting #3: cost 7 inf + 1 257.128 * * [simplify]: Extracting #4: cost 6 inf + 2 257.128 * * [simplify]: Extracting #5: cost 2 inf + 368 257.129 * * [simplify]: Extracting #6: cost 0 inf + 490 257.129 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.129 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.129 * * * * [progress]: [ 395 / 425 ] simplifiying candidate # 257.129 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 257.129 * * [simplify]: iters left: 5 (4 enodes) 257.133 * * [simplify]: iters left: 4 (14 enodes) 257.135 * * [simplify]: iters left: 3 (16 enodes) 257.137 * * [simplify]: Extracting #0: cost 1 inf + 0 257.137 * * [simplify]: Extracting #1: cost 0 inf + 1 257.137 * [simplify]: Simplified to 1 257.137 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (cbrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.138 * * * * [progress]: [ 396 / 425 ] simplifiying candidate # 257.138 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.138 * * [simplify]: iters left: 6 (7 enodes) 257.140 * * [simplify]: iters left: 5 (25 enodes) 257.144 * * [simplify]: iters left: 4 (32 enodes) 257.149 * * [simplify]: iters left: 3 (34 enodes) 257.153 * * [simplify]: Extracting #0: cost 1 inf + 0 257.153 * * [simplify]: Extracting #1: cost 7 inf + 0 257.153 * * [simplify]: Extracting #2: cost 11 inf + 1 257.153 * * [simplify]: Extracting #3: cost 13 inf + 1 257.153 * * [simplify]: Extracting #4: cost 10 inf + 84 257.154 * * [simplify]: Extracting #5: cost 4 inf + 1014 257.154 * * [simplify]: Extracting #6: cost 1 inf + 1498 257.154 * * [simplify]: Extracting #7: cost 0 inf + 1700 257.154 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 257.154 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.154 * * * * [progress]: [ 397 / 425 ] simplifiying candidate # 257.155 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 257.155 * * [simplify]: iters left: 6 (7 enodes) 257.157 * * [simplify]: iters left: 5 (24 enodes) 257.164 * * [simplify]: iters left: 4 (26 enodes) 257.171 * * [simplify]: Extracting #0: cost 1 inf + 0 257.171 * * [simplify]: Extracting #1: cost 4 inf + 0 257.172 * * [simplify]: Extracting #2: cost 6 inf + 1 257.172 * * [simplify]: Extracting #3: cost 9 inf + 1 257.172 * * [simplify]: Extracting #4: cost 8 inf + 2 257.172 * * [simplify]: Extracting #5: cost 2 inf + 730 257.172 * * [simplify]: Extracting #6: cost 0 inf + 972 257.172 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 257.172 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.173 * * * * [progress]: [ 398 / 425 ] simplifiying candidate # 257.173 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 257.173 * * [simplify]: iters left: 4 (6 enodes) 257.177 * * [simplify]: iters left: 3 (20 enodes) 257.183 * * [simplify]: iters left: 2 (22 enodes) 257.189 * * [simplify]: Extracting #0: cost 1 inf + 0 257.189 * * [simplify]: Extracting #1: cost 4 inf + 0 257.189 * * [simplify]: Extracting #2: cost 5 inf + 1 257.189 * * [simplify]: Extracting #3: cost 7 inf + 1 257.189 * * [simplify]: Extracting #4: cost 1 inf + 368 257.189 * * [simplify]: Extracting #5: cost 0 inf + 490 257.190 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.190 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.190 * * * * [progress]: [ 399 / 425 ] simplifiying candidate # 257.190 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 257.190 * * [simplify]: iters left: 3 (3 enodes) 257.194 * * [simplify]: iters left: 2 (9 enodes) 257.196 * * [simplify]: iters left: 1 (11 enodes) 257.199 * * [simplify]: Extracting #0: cost 1 inf + 0 257.200 * * [simplify]: Extracting #1: cost 0 inf + 1 257.200 * [simplify]: Simplified to 1 257.200 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.200 * * * * [progress]: [ 400 / 425 ] simplifiying candidate # 257.200 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt k))) 257.200 * * [simplify]: iters left: 4 (6 enodes) 257.204 * * [simplify]: iters left: 3 (20 enodes) 257.210 * * [simplify]: iters left: 2 (22 enodes) 257.216 * * [simplify]: Extracting #0: cost 1 inf + 0 257.216 * * [simplify]: Extracting #1: cost 4 inf + 0 257.217 * * [simplify]: Extracting #2: cost 5 inf + 1 257.217 * * [simplify]: Extracting #3: cost 7 inf + 1 257.217 * * [simplify]: Extracting #4: cost 1 inf + 368 257.217 * * [simplify]: Extracting #5: cost 0 inf + 490 257.217 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.217 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.217 * * * * [progress]: [ 401 / 425 ] simplifiying candidate # 257.218 * [simplify]: Simplifying (/ (sqrt 1) 1) 257.218 * * [simplify]: iters left: 3 (3 enodes) 257.221 * * [simplify]: iters left: 2 (9 enodes) 257.224 * * [simplify]: iters left: 1 (11 enodes) 257.226 * * [simplify]: Extracting #0: cost 1 inf + 0 257.227 * * [simplify]: Extracting #1: cost 0 inf + 1 257.227 * [simplify]: Simplified to 1 257.227 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ (sqrt 1) (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.227 * * * * [progress]: [ 402 / 425 ] simplifiying candidate # 257.227 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.227 * * [simplify]: iters left: 6 (6 enodes) 257.230 * * [simplify]: iters left: 5 (22 enodes) 257.240 * * [simplify]: iters left: 4 (26 enodes) 257.246 * * [simplify]: Extracting #0: cost 1 inf + 0 257.246 * * [simplify]: Extracting #1: cost 6 inf + 0 257.246 * * [simplify]: Extracting #2: cost 9 inf + 1 257.246 * * [simplify]: Extracting #3: cost 11 inf + 1 257.246 * * [simplify]: Extracting #4: cost 8 inf + 84 257.246 * * [simplify]: Extracting #5: cost 2 inf + 1013 257.247 * * [simplify]: Extracting #6: cost 0 inf + 1376 257.247 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 257.247 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.247 * * * * [progress]: [ 403 / 425 ] simplifiying candidate # 257.247 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 257.247 * * [simplify]: iters left: 6 (6 enodes) 257.249 * * [simplify]: iters left: 5 (21 enodes) 257.252 * * [simplify]: iters left: 4 (23 enodes) 257.256 * * [simplify]: Extracting #0: cost 1 inf + 0 257.256 * * [simplify]: Extracting #1: cost 4 inf + 0 257.256 * * [simplify]: Extracting #2: cost 6 inf + 1 257.256 * * [simplify]: Extracting #3: cost 9 inf + 1 257.256 * * [simplify]: Extracting #4: cost 8 inf + 2 257.256 * * [simplify]: Extracting #5: cost 1 inf + 810 257.256 * * [simplify]: Extracting #6: cost 0 inf + 972 257.256 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 257.256 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt k))) (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.257 * * * * [progress]: [ 404 / 425 ] simplifiying candidate # 257.257 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 257.257 * * [simplify]: iters left: 4 (5 enodes) 257.258 * * [simplify]: iters left: 3 (17 enodes) 257.261 * * [simplify]: iters left: 2 (19 enodes) 257.264 * * [simplify]: Extracting #0: cost 1 inf + 0 257.264 * * [simplify]: Extracting #1: cost 4 inf + 0 257.264 * * [simplify]: Extracting #2: cost 5 inf + 1 257.264 * * [simplify]: Extracting #3: cost 7 inf + 1 257.264 * * [simplify]: Extracting #4: cost 0 inf + 490 257.264 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.264 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.264 * * * * [progress]: [ 405 / 425 ] simplifiying candidate # 257.264 * [simplify]: Simplifying (/ 1 (sqrt 1)) 257.264 * * [simplify]: iters left: 3 (3 enodes) 257.268 * * [simplify]: iters left: 2 (11 enodes) 257.270 * * [simplify]: iters left: 1 (13 enodes) 257.273 * * [simplify]: Extracting #0: cost 1 inf + 0 257.273 * * [simplify]: Extracting #1: cost 0 inf + 1 257.273 * [simplify]: Simplified to 1 257.273 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.273 * * * * [progress]: [ 406 / 425 ] simplifiying candidate # 257.274 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 257.274 * * [simplify]: iters left: 4 (5 enodes) 257.276 * * [simplify]: iters left: 3 (17 enodes) 257.282 * * [simplify]: iters left: 2 (19 enodes) 257.288 * * [simplify]: Extracting #0: cost 1 inf + 0 257.288 * * [simplify]: Extracting #1: cost 4 inf + 0 257.288 * * [simplify]: Extracting #2: cost 5 inf + 1 257.288 * * [simplify]: Extracting #3: cost 7 inf + 1 257.288 * * [simplify]: Extracting #4: cost 0 inf + 490 257.288 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 257.288 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.289 * * * * [progress]: [ 407 / 425 ] simplifiying candidate # 257.289 * [simplify]: Simplifying (/ 1 1) 257.289 * * [simplify]: iters left: 2 (2 enodes) 257.290 * * [simplify]: iters left: 1 (6 enodes) 257.293 * * [simplify]: Extracting #0: cost 1 inf + 0 257.293 * * [simplify]: Extracting #1: cost 0 inf + 1 257.293 * [simplify]: Simplified to 1 257.293 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.293 * * * * [progress]: [ 408 / 425 ] simplifiying candidate # 257.294 * * * * [progress]: [ 409 / 425 ] simplifiying candidate # 257.294 * * * * [progress]: [ 410 / 425 ] simplifiying candidate # 257.294 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ k 2) 2)) 257.294 * * [simplify]: iters left: 5 (7 enodes) 257.299 * * [simplify]: iters left: 4 (28 enodes) 257.308 * * [simplify]: iters left: 3 (43 enodes) 257.315 * * [simplify]: iters left: 2 (74 enodes) 257.328 * * [simplify]: iters left: 1 (151 enodes) 257.380 * * [simplify]: Extracting #0: cost 1 inf + 0 257.380 * * [simplify]: Extracting #1: cost 12 inf + 0 257.380 * * [simplify]: Extracting #2: cost 54 inf + 1 257.381 * * [simplify]: Extracting #3: cost 71 inf + 135 257.382 * * [simplify]: Extracting #4: cost 32 inf + 4638 257.386 * * [simplify]: Extracting #5: cost 6 inf + 15744 257.391 * * [simplify]: Extracting #6: cost 0 inf + 18744 257.396 * * [simplify]: Extracting #7: cost 0 inf + 18624 257.402 * [simplify]: Simplified to (pow (* 2 PI) (/ k 4)) 257.402 * [simplify]: Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ 1 2) 2))) (pow (* 2 PI) (/ k 4))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.402 * * * * [progress]: [ 411 / 425 ] simplifiying candidate # 257.402 * [simplify]: Simplifying (* 1 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 257.403 * * [simplify]: iters left: 6 (10 enodes) 257.409 * * [simplify]: iters left: 5 (44 enodes) 257.425 * * [simplify]: iters left: 4 (75 enodes) 257.449 * * [simplify]: iters left: 3 (120 enodes) 257.498 * * [simplify]: iters left: 2 (223 enodes) 257.583 * * [simplify]: iters left: 1 (432 enodes) 257.789 * * [simplify]: Extracting #0: cost 1 inf + 0 257.789 * * [simplify]: Extracting #1: cost 20 inf + 0 257.790 * * [simplify]: Extracting #2: cost 88 inf + 2 257.791 * * [simplify]: Extracting #3: cost 154 inf + 9 257.793 * * [simplify]: Extracting #4: cost 157 inf + 1890 257.799 * * [simplify]: Extracting #5: cost 71 inf + 12739 257.812 * * [simplify]: Extracting #6: cost 17 inf + 32984 257.836 * * [simplify]: Extracting #7: cost 0 inf + 46332 257.856 * * [simplify]: Extracting #8: cost 0 inf + 45626 257.868 * [simplify]: Simplified to (pow (* PI 2) (/ (- 1 k) 4)) 257.868 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) (/ (- 1 k) 4)) (sqrt k)) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 257.868 * * * * [progress]: [ 412 / 425 ] simplifiying candidate #real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2)))))> 257.868 * * * * [progress]: [ 413 / 425 ] simplifiying candidate # 257.868 * * * * [progress]: [ 414 / 425 ] simplifiying candidate # 257.868 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 257.869 * * [simplify]: iters left: 6 (18 enodes) 257.875 * * [simplify]: iters left: 5 (83 enodes) 257.896 * * [simplify]: iters left: 4 (217 enodes) 257.996 * * [simplify]: Extracting #0: cost 1 inf + 0 257.996 * * [simplify]: Extracting #1: cost 30 inf + 0 257.997 * * [simplify]: Extracting #2: cost 133 inf + 3 257.999 * * [simplify]: Extracting #3: cost 153 inf + 1555 258.005 * * [simplify]: Extracting #4: cost 48 inf + 27042 258.015 * * [simplify]: Extracting #5: cost 1 inf + 39385 258.021 * * [simplify]: Extracting #6: cost 0 inf + 39357 258.028 * [simplify]: Simplified to (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n))) 258.028 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (fma (* -1/2 (sqrt n)) (* k (log n)) (fma (* (sqrt n) (* (* k (log n)) (* k (log n)))) 1/8 (sqrt n)))))) 258.028 * * * * [progress]: [ 415 / 425 ] simplifiying candidate # 258.028 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 258.028 * * [simplify]: iters left: 6 (10 enodes) 258.035 * * [simplify]: iters left: 5 (44 enodes) 258.046 * * [simplify]: iters left: 4 (87 enodes) 258.080 * * [simplify]: iters left: 3 (211 enodes) 258.180 * * [simplify]: Extracting #0: cost 1 inf + 0 258.180 * * [simplify]: Extracting #1: cost 32 inf + 0 258.180 * * [simplify]: Extracting #2: cost 115 inf + 2 258.181 * * [simplify]: Extracting #3: cost 148 inf + 1208 258.183 * * [simplify]: Extracting #4: cost 61 inf + 14505 258.188 * * [simplify]: Extracting #5: cost 8 inf + 26237 258.193 * * [simplify]: Extracting #6: cost 1 inf + 30263 258.198 * * [simplify]: Extracting #7: cost 0 inf + 31149 258.206 * [simplify]: Simplified to (exp (* (log n) (* 1/2 (- 1 k)))) 258.206 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (exp (* (log n) (* 1/2 (- 1 k))))))) 258.206 * * * * [progress]: [ 416 / 425 ] simplifiying candidate # 258.206 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 258.207 * * [simplify]: iters left: 6 (13 enodes) 258.215 * * [simplify]: iters left: 5 (53 enodes) 258.226 * * [simplify]: iters left: 4 (109 enodes) 258.260 * * [simplify]: iters left: 3 (311 enodes) 258.454 * * [simplify]: Extracting #0: cost 1 inf + 0 258.454 * * [simplify]: Extracting #1: cost 34 inf + 0 258.455 * * [simplify]: Extracting #2: cost 135 inf + 73 258.457 * * [simplify]: Extracting #3: cost 194 inf + 2919 258.462 * * [simplify]: Extracting #4: cost 87 inf + 21540 258.476 * * [simplify]: Extracting #5: cost 7 inf + 41330 258.493 * * [simplify]: Extracting #6: cost 0 inf + 43042 258.503 * * [simplify]: Extracting #7: cost 0 inf + 43035 258.514 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 258.514 * [simplify]: Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (sqrt (exp (- (log n) (* k (log n)))))))) 258.514 * * * * [progress]: [ 417 / 425 ] simplifiying candidate # 258.514 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 258.514 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.515 * * * * [progress]: [ 418 / 425 ] simplifiying candidate # 258.515 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 258.515 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.515 * * * * [progress]: [ 419 / 425 ] simplifiying candidate # 258.515 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 258.515 * [simplify]: Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.515 * * * * [progress]: [ 420 / 425 ] simplifiying candidate # 258.515 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 258.515 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 258.516 * * * * [progress]: [ 421 / 425 ] simplifiying candidate # 258.516 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 3)))))))) 258.516 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 258.516 * * * * [progress]: [ 422 / 425 ] simplifiying candidate # 258.516 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)) k)) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) 2)))))))) 258.516 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 258.516 * * * * [progress]: [ 423 / 425 ] simplifiying candidate # 258.516 * [simplify]: Simplifying (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* k (log (* 2 PI))))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) k)) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (pow k 2))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (pow (log (* 2 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* PI 2) 1/4) (* (log (* 2 PI)) (pow k 2)))) (- (* +nan.0 (pow (* PI 2) 1/4))))))))))))) 258.516 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.517 * * * * [progress]: [ 424 / 425 ] simplifiying candidate # 258.517 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) 258.517 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.517 * * * * [progress]: [ 425 / 425 ] simplifiying candidate # 258.517 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/4 (* (- 1 k) (log (* 2 PI))))))))))) 258.517 * [simplify]: Simplified (2 1) to (λ (k n) (* +nan.0 (* (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) (pow n (/ (- 1 k) 2))))) 258.518 * * * [progress]: adding candidates to table 264.373 * [progress]: [Phase 3 of 3] Extracting. 264.373 * * [regime]: Finding splitpoints for: (# # # # # # #) 264.375 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 264.375 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 264.431 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # #) 264.520 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 264.612 * * * [regime]: Found split indices: #