0.001 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.190 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.193 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.194 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 0.194 * * [simplify]: iters left: 6 (13 enodes) 0.198 * * [simplify]: iters left: 5 (57 enodes) 0.208 * * [simplify]: iters left: 4 (96 enodes) 0.240 * * [simplify]: iters left: 3 (172 enodes) 0.305 * * [simplify]: iters left: 2 (338 enodes) 0.459 * * [simplify]: Extracting #0: cost 1 inf + 0 0.459 * * [simplify]: Extracting #1: cost 41 inf + 0 0.460 * * [simplify]: Extracting #2: cost 120 inf + 1 0.460 * * [simplify]: Extracting #3: cost 166 inf + 127 0.461 * * [simplify]: Extracting #4: cost 163 inf + 676 0.463 * * [simplify]: Extracting #5: cost 119 inf + 8991 0.468 * * [simplify]: Extracting #6: cost 63 inf + 29786 0.481 * * [simplify]: Extracting #7: cost 6 inf + 73494 0.494 * * [simplify]: Extracting #8: cost 0 inf + 78104 0.519 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 0.519 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 0.531 * * [progress]: iteration 1 / 4 0.532 * * * [progress]: picking best candidate 0.543 * * * * [pick]: Picked # 0.543 * * * [progress]: localizing error 0.585 * * * [progress]: generating rewritten candidates 0.586 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.605 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.617 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.633 * * * [progress]: generating series expansions 0.633 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.634 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 0.634 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.634 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.634 * [taylor]: Taking taylor expansion of 1/2 in k 0.634 * [backup-simplify]: Simplify 1/2 into 1/2 0.634 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.634 * [taylor]: Taking taylor expansion of 1 in k 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of k in k 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.634 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.634 * [taylor]: Taking taylor expansion of 2 in k 0.634 * [backup-simplify]: Simplify 2 into 2 0.634 * [taylor]: Taking taylor expansion of (* n PI) in k 0.634 * [taylor]: Taking taylor expansion of n in k 0.634 * [backup-simplify]: Simplify n into n 0.634 * [taylor]: Taking taylor expansion of PI in k 0.635 * [backup-simplify]: Simplify PI into PI 0.635 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.635 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.635 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify (+ 1 0) into 1 0.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.636 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.637 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.637 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.637 * [taylor]: Taking taylor expansion of 1/2 in n 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.637 * [taylor]: Taking taylor expansion of 1 in n 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of k in n 0.637 * [backup-simplify]: Simplify k into k 0.637 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.637 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.637 * [taylor]: Taking taylor expansion of 2 in n 0.637 * [backup-simplify]: Simplify 2 into 2 0.637 * [taylor]: Taking taylor expansion of (* n PI) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of PI in n 0.637 * [backup-simplify]: Simplify PI into PI 0.638 * [backup-simplify]: Simplify (* 0 PI) into 0 0.638 * [backup-simplify]: Simplify (* 2 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.641 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.642 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.642 * [backup-simplify]: Simplify (- k) into (- k) 0.642 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.642 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.645 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.646 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.646 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.646 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.646 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.646 * [taylor]: Taking taylor expansion of 1/2 in n 0.646 * [backup-simplify]: Simplify 1/2 into 1/2 0.646 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.646 * [taylor]: Taking taylor expansion of 1 in n 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [taylor]: Taking taylor expansion of k in n 0.646 * [backup-simplify]: Simplify k into k 0.646 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.646 * [taylor]: Taking taylor expansion of 2 in n 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of (* n PI) in n 0.647 * [taylor]: Taking taylor expansion of n in n 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of PI in n 0.647 * [backup-simplify]: Simplify PI into PI 0.647 * [backup-simplify]: Simplify (* 0 PI) into 0 0.647 * [backup-simplify]: Simplify (* 2 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.651 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.652 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.652 * [backup-simplify]: Simplify (- k) into (- k) 0.652 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.652 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.654 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.655 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.656 * [taylor]: Taking taylor expansion of 1/2 in k 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.656 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.656 * [taylor]: Taking taylor expansion of 1 in k 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of k in k 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.656 * [taylor]: Taking taylor expansion of (log n) in k 0.656 * [taylor]: Taking taylor expansion of n in k 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (log n) into (log n) 0.656 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.656 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.656 * [taylor]: Taking taylor expansion of 2 in k 0.656 * [backup-simplify]: Simplify 2 into 2 0.656 * [taylor]: Taking taylor expansion of PI in k 0.656 * [backup-simplify]: Simplify PI into PI 0.657 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.658 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ 1 0) into 1 0.660 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.661 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.662 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.663 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.664 * [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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.673 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.675 * [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 0.676 * [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 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.684 * [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))))) 0.687 * [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))))))) 0.689 * [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))))))) 0.690 * [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 0.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.703 * [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 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.709 * [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))))) 0.712 * [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 (* (/ 1 n) (* 2 PI)) (/ (- 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 0.721 * [backup-simplify]: Simplify 1/2 into 1/2 0.721 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.721 * [taylor]: Taking taylor expansion of 1 in k 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.722 * [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)) 0.722 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 0.722 * [backup-simplify]: Simplify (- 1) into -1 0.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.723 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 0.723 * [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 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.724 * [taylor]: Taking taylor expansion of k in n 0.724 * [backup-simplify]: Simplify k into k 0.724 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.724 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.724 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.724 * [taylor]: Taking taylor expansion of 2 in n 0.724 * [backup-simplify]: Simplify 2 into 2 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [backup-simplify]: Simplify PI into PI 0.724 * [taylor]: Taking taylor expansion of n in n 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ PI 1) into PI 0.725 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.726 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.726 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.727 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.727 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.729 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.730 * [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))))) 0.730 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.730 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.730 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.731 * [taylor]: Taking taylor expansion of 1/2 in n 0.731 * [backup-simplify]: Simplify 1/2 into 1/2 0.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.731 * [taylor]: Taking taylor expansion of 1 in n 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.731 * [backup-simplify]: Simplify k into k 0.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.731 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of 2 in n 0.731 * [backup-simplify]: Simplify 2 into 2 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [backup-simplify]: Simplify PI into PI 0.731 * [taylor]: Taking taylor expansion of n in n 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ PI 1) into PI 0.732 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.733 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.733 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 0.733 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 0.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 0.737 * [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))))) 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.737 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.737 * [taylor]: Taking taylor expansion of 1/2 in k 0.737 * [backup-simplify]: Simplify 1/2 into 1/2 0.737 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.737 * [taylor]: Taking taylor expansion of 1 in k 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.738 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.738 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.738 * [taylor]: Taking taylor expansion of 2 in k 0.738 * [backup-simplify]: Simplify 2 into 2 0.738 * [taylor]: Taking taylor expansion of PI in k 0.738 * [backup-simplify]: Simplify PI into PI 0.738 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.739 * [taylor]: Taking taylor expansion of (log n) in k 0.739 * [taylor]: Taking taylor expansion of n in k 0.739 * [backup-simplify]: Simplify n into n 0.739 * [backup-simplify]: Simplify (log n) into (log n) 0.739 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.740 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.740 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 0.741 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 0.741 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 0.742 * [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))))) 0.743 * [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))))) 0.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.745 * [backup-simplify]: Simplify (- 0) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.747 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 0.748 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.748 * [taylor]: Taking taylor expansion of 0 in k 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.751 * [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 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 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 2) 2)) (* (/ (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 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.760 * [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 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 0.764 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 0.765 * [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 0.765 * [taylor]: Taking taylor expansion of 0 in k 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [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)))))) 0.767 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 0.767 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.767 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.767 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.767 * [taylor]: Taking taylor expansion of 1/2 in k 0.767 * [backup-simplify]: Simplify 1/2 into 1/2 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [taylor]: Taking taylor expansion of 1 in k 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.768 * [taylor]: Taking taylor expansion of -2 in k 0.768 * [backup-simplify]: Simplify -2 into -2 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.768 * [taylor]: Taking taylor expansion of PI in k 0.768 * [backup-simplify]: Simplify PI into PI 0.768 * [taylor]: Taking taylor expansion of n in k 0.768 * [backup-simplify]: Simplify n into n 0.768 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.768 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 0.769 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 0.769 * [backup-simplify]: Simplify (+ 1 0) into 1 0.769 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.770 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 0.770 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 0.770 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.770 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.770 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.770 * [taylor]: Taking taylor expansion of 1/2 in n 0.770 * [backup-simplify]: Simplify 1/2 into 1/2 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.770 * [backup-simplify]: Simplify k into k 0.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.770 * [taylor]: Taking taylor expansion of 1 in n 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of -2 in n 0.770 * [backup-simplify]: Simplify -2 into -2 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.770 * [backup-simplify]: Simplify PI into PI 0.770 * [taylor]: Taking taylor expansion of n in n 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (/ PI 1) into PI 0.771 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.772 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.772 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.772 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.775 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.776 * [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))))) 0.776 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.776 * [taylor]: Taking taylor expansion of 1/2 in n 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.776 * [backup-simplify]: Simplify k into k 0.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.776 * [taylor]: Taking taylor expansion of 1 in n 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.776 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.776 * [taylor]: Taking taylor expansion of -2 in n 0.776 * [backup-simplify]: Simplify -2 into -2 0.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.776 * [taylor]: Taking taylor expansion of PI in n 0.776 * [backup-simplify]: Simplify PI into PI 0.776 * [taylor]: Taking taylor expansion of n in n 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ PI 1) into PI 0.777 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.778 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.778 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 0.779 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 0.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.781 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 0.782 * [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))))) 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.782 * [taylor]: Taking taylor expansion of 1/2 in k 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.782 * [taylor]: Taking taylor expansion of k in k 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of 1 in k 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.783 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.783 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.783 * [taylor]: Taking taylor expansion of -2 in k 0.783 * [backup-simplify]: Simplify -2 into -2 0.783 * [taylor]: Taking taylor expansion of PI in k 0.783 * [backup-simplify]: Simplify PI into PI 0.784 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.785 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 0.785 * [taylor]: Taking taylor expansion of (log n) in k 0.785 * [taylor]: Taking taylor expansion of n in k 0.785 * [backup-simplify]: Simplify n into n 0.785 * [backup-simplify]: Simplify (log n) into (log n) 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.786 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 0.787 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 0.789 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 0.790 * [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))))) 0.791 * [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))))) 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 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)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 0.800 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in k 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.806 * [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 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.811 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 0.813 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.813 * [taylor]: Taking taylor expansion of 0 in k 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.824 * [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 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 0.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 0.830 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 0.832 * [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 0.832 * [taylor]: Taking taylor expansion of 0 in k 0.832 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [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)))))) 0.834 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.834 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI)) 0.834 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.834 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.834 * [taylor]: Taking taylor expansion of 2 in n 0.834 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [backup-simplify]: Simplify PI into PI 0.835 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2 in n 0.835 * [backup-simplify]: Simplify 2 into 2 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [backup-simplify]: Simplify PI into PI 0.835 * [backup-simplify]: Simplify (* 0 PI) into 0 0.836 * [backup-simplify]: Simplify (* 2 0) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.839 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.839 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 0.858 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n)) 0.858 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.858 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.858 * [taylor]: Taking taylor expansion of 2 in n 0.858 * [backup-simplify]: Simplify 2 into 2 0.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.858 * [taylor]: Taking taylor expansion of PI in n 0.858 * [backup-simplify]: Simplify PI into PI 0.858 * [taylor]: Taking taylor expansion of n in n 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ PI 1) into PI 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.859 * [taylor]: Taking taylor expansion of 2 in n 0.859 * [backup-simplify]: Simplify 2 into 2 0.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.859 * [taylor]: Taking taylor expansion of PI in n 0.859 * [backup-simplify]: Simplify PI into PI 0.859 * [taylor]: Taking taylor expansion of n in n 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ PI 1) into PI 0.860 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.861 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 0.876 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n)) 0.876 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.876 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.876 * [taylor]: Taking taylor expansion of -2 in n 0.876 * [backup-simplify]: Simplify -2 into -2 0.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.876 * [taylor]: Taking taylor expansion of PI in n 0.876 * [backup-simplify]: Simplify PI into PI 0.876 * [taylor]: Taking taylor expansion of n in n 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (/ PI 1) into PI 0.877 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.877 * [taylor]: Taking taylor expansion of -2 in n 0.877 * [backup-simplify]: Simplify -2 into -2 0.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.877 * [taylor]: Taking taylor expansion of PI in n 0.877 * [backup-simplify]: Simplify PI into PI 0.877 * [taylor]: Taking taylor expansion of n in n 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ PI 1) into PI 0.878 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.879 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [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 0.891 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 0.892 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.892 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 0.892 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0 0.892 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 0.892 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.892 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.892 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.892 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.892 * [taylor]: Taking taylor expansion of 1/2 in k 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.892 * [taylor]: Taking taylor expansion of 1 in k 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [taylor]: Taking taylor expansion of k in k 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.893 * [taylor]: Taking taylor expansion of 2 in k 0.893 * [backup-simplify]: Simplify 2 into 2 0.893 * [taylor]: Taking taylor expansion of (* n PI) in k 0.893 * [taylor]: Taking taylor expansion of n in k 0.893 * [backup-simplify]: Simplify n into n 0.893 * [taylor]: Taking taylor expansion of PI in k 0.893 * [backup-simplify]: Simplify PI into PI 0.893 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.893 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 0.893 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 0.893 * [backup-simplify]: Simplify (- 0) into 0 0.893 * [backup-simplify]: Simplify (+ 1 0) into 1 0.894 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.894 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 0.894 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 0.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.894 * [taylor]: Taking taylor expansion of k in k 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [backup-simplify]: Simplify (sqrt 0) into 0 0.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.895 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.895 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.895 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.895 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.895 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.896 * [taylor]: Taking taylor expansion of 1/2 in n 0.896 * [backup-simplify]: Simplify 1/2 into 1/2 0.896 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.896 * [taylor]: Taking taylor expansion of 1 in n 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [taylor]: Taking taylor expansion of k in n 0.896 * [backup-simplify]: Simplify k into k 0.896 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.896 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.896 * [taylor]: Taking taylor expansion of 2 in n 0.896 * [backup-simplify]: Simplify 2 into 2 0.896 * [taylor]: Taking taylor expansion of (* n PI) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [taylor]: Taking taylor expansion of PI in n 0.896 * [backup-simplify]: Simplify PI into PI 0.896 * [backup-simplify]: Simplify (* 0 PI) into 0 0.896 * [backup-simplify]: Simplify (* 2 0) into 0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.898 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.899 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.899 * [backup-simplify]: Simplify (- k) into (- k) 0.899 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.899 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.900 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.900 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.901 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.901 * [taylor]: Taking taylor expansion of k in n 0.901 * [backup-simplify]: Simplify k into k 0.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.901 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.901 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 0.901 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.901 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.901 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.901 * [taylor]: Taking taylor expansion of 1/2 in n 0.902 * [backup-simplify]: Simplify 1/2 into 1/2 0.902 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.902 * [taylor]: Taking taylor expansion of 1 in n 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of k in n 0.902 * [backup-simplify]: Simplify k into k 0.902 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.902 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.902 * [taylor]: Taking taylor expansion of 2 in n 0.902 * [backup-simplify]: Simplify 2 into 2 0.902 * [taylor]: Taking taylor expansion of (* n PI) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of PI in n 0.902 * [backup-simplify]: Simplify PI into PI 0.902 * [backup-simplify]: Simplify (* 0 PI) into 0 0.902 * [backup-simplify]: Simplify (* 2 0) into 0 0.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.904 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 0.905 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.905 * [backup-simplify]: Simplify (- k) into (- k) 0.905 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 0.905 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 0.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.906 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 0.907 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.907 * [taylor]: Taking taylor expansion of k in n 0.907 * [backup-simplify]: Simplify k into k 0.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.907 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.908 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) 0.908 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 0.908 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 0.908 * [taylor]: Taking taylor expansion of 1/2 in k 0.908 * [backup-simplify]: Simplify 1/2 into 1/2 0.908 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 0.908 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.908 * [taylor]: Taking taylor expansion of 1 in k 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of k in k 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 0.908 * [taylor]: Taking taylor expansion of (log n) in k 0.908 * [taylor]: Taking taylor expansion of n in k 0.908 * [backup-simplify]: Simplify n into n 0.909 * [backup-simplify]: Simplify (log n) into (log n) 0.909 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.909 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.909 * [taylor]: Taking taylor expansion of 2 in k 0.909 * [backup-simplify]: Simplify 2 into 2 0.909 * [taylor]: Taking taylor expansion of PI in k 0.909 * [backup-simplify]: Simplify PI into PI 0.909 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 0.910 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.912 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 0.912 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 0.913 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.913 * [taylor]: Taking taylor expansion of k in k 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (sqrt 0) into 0 0.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 0.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 0.920 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.920 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 0.921 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in k 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 0.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (- 1) into -1 0.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 0.927 * [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))))) 0.929 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.932 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.933 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 0.944 * [backup-simplify]: Simplify (- 0) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 0.948 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.950 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 0.952 * [taylor]: Taking taylor expansion of 0 in k 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 0.962 * [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 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 0.972 * [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))))) 0.980 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.985 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 0.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.994 * [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 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 0.998 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1.000 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.004 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1.004 * [taylor]: Taking taylor expansion of 0 in k 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.013 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 1.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.020 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1.033 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1.049 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.061 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1.083 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1.084 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1.084 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0 1.084 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1.084 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1.084 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1.084 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1.084 * [taylor]: Taking taylor expansion of 1/2 in k 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.084 * [taylor]: Taking taylor expansion of 1 in k 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.084 * [taylor]: Taking taylor expansion of k in k 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.085 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.085 * [taylor]: Taking taylor expansion of 2 in k 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.085 * [taylor]: Taking taylor expansion of PI in k 1.085 * [backup-simplify]: Simplify PI into PI 1.085 * [taylor]: Taking taylor expansion of n in k 1.085 * [backup-simplify]: Simplify n into n 1.085 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.085 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1.085 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1.086 * [backup-simplify]: Simplify (- 1) into -1 1.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.086 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 1.087 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1.087 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1.087 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.087 * [taylor]: Taking taylor expansion of k in k 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (sqrt 0) into 0 1.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.089 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.089 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.089 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.089 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.089 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.089 * [taylor]: Taking taylor expansion of 1/2 in n 1.089 * [backup-simplify]: Simplify 1/2 into 1/2 1.089 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.089 * [taylor]: Taking taylor expansion of 1 in n 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.089 * [taylor]: Taking taylor expansion of k in n 1.089 * [backup-simplify]: Simplify k into k 1.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.090 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.090 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.090 * [taylor]: Taking taylor expansion of 2 in n 1.090 * [backup-simplify]: Simplify 2 into 2 1.090 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.090 * [taylor]: Taking taylor expansion of PI in n 1.090 * [backup-simplify]: Simplify PI into PI 1.090 * [taylor]: Taking taylor expansion of n in n 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (/ PI 1) into PI 1.091 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.092 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.092 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.092 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.092 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.095 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.096 * [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))))) 1.096 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.096 * [taylor]: Taking taylor expansion of k in n 1.096 * [backup-simplify]: Simplify k into k 1.096 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.096 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1.096 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1.096 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1.097 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1.097 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1.097 * [taylor]: Taking taylor expansion of 1/2 in n 1.097 * [backup-simplify]: Simplify 1/2 into 1/2 1.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 1.097 * [taylor]: Taking taylor expansion of 1 in n 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.097 * [taylor]: Taking taylor expansion of k in n 1.097 * [backup-simplify]: Simplify k into k 1.097 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.097 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.097 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.097 * [taylor]: Taking taylor expansion of 2 in n 1.097 * [backup-simplify]: Simplify 2 into 2 1.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.097 * [taylor]: Taking taylor expansion of PI in n 1.097 * [backup-simplify]: Simplify PI into PI 1.097 * [taylor]: Taking taylor expansion of n in n 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ PI 1) into PI 1.098 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.099 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.099 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.099 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1.099 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.102 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1.103 * [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))))) 1.103 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.103 * [taylor]: Taking taylor expansion of k in n 1.103 * [backup-simplify]: Simplify k into k 1.103 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.105 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) 1.105 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1.105 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1.105 * [taylor]: Taking taylor expansion of 1/2 in k 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 1.105 * [taylor]: Taking taylor expansion of 1 in k 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.105 * [taylor]: Taking taylor expansion of k in k 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.105 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.105 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.105 * [taylor]: Taking taylor expansion of 2 in k 1.105 * [backup-simplify]: Simplify 2 into 2 1.105 * [taylor]: Taking taylor expansion of PI in k 1.106 * [backup-simplify]: Simplify PI into PI 1.106 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 1.107 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1.107 * [taylor]: Taking taylor expansion of (log n) in k 1.107 * [taylor]: Taking taylor expansion of n in k 1.107 * [backup-simplify]: Simplify n into n 1.107 * [backup-simplify]: Simplify (log n) into (log n) 1.107 * [backup-simplify]: Simplify (- 1) into -1 1.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.108 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.109 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1.110 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1.111 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1.112 * [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))))) 1.112 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.112 * [taylor]: Taking taylor expansion of k in k 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (sqrt 0) into 0 1.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.115 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 1.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.122 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1.124 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0 1.125 * [taylor]: Taking taylor expansion of 0 in k 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.128 * [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))))))) 1.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1.137 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.139 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1.141 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1.143 * [taylor]: Taking taylor expansion of 0 in k 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.148 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.149 * [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))))))) 1.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.157 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1.163 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1.166 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1.168 * [taylor]: Taking taylor expansion of 0 in k 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.174 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1.175 * [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))))))) 1.178 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1.178 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1.178 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 1.178 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1.178 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1.178 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1.178 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1.178 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1.178 * [taylor]: Taking taylor expansion of 1/2 in k 1.178 * [backup-simplify]: Simplify 1/2 into 1/2 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.179 * [taylor]: Taking taylor expansion of k in k 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [taylor]: Taking taylor expansion of 1 in k 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.179 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.179 * [taylor]: Taking taylor expansion of -2 in k 1.179 * [backup-simplify]: Simplify -2 into -2 1.179 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.179 * [taylor]: Taking taylor expansion of PI in k 1.179 * [backup-simplify]: Simplify PI into PI 1.179 * [taylor]: Taking taylor expansion of n in k 1.179 * [backup-simplify]: Simplify n into n 1.179 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.179 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1.179 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1.179 * [backup-simplify]: Simplify (+ 1 0) into 1 1.180 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.180 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1.180 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.180 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.180 * [taylor]: Taking taylor expansion of -1 in k 1.180 * [backup-simplify]: Simplify -1 into -1 1.180 * [taylor]: Taking taylor expansion of k in k 1.180 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (/ -1 1) into -1 1.181 * [backup-simplify]: Simplify (sqrt 0) into 0 1.181 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.182 * [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))))) 1.182 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.182 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.182 * [taylor]: Taking taylor expansion of 1/2 in n 1.182 * [backup-simplify]: Simplify 1/2 into 1/2 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.182 * [taylor]: Taking taylor expansion of k in n 1.182 * [backup-simplify]: Simplify k into k 1.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.182 * [taylor]: Taking taylor expansion of 1 in n 1.182 * [backup-simplify]: Simplify 1 into 1 1.182 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.182 * [taylor]: Taking taylor expansion of -2 in n 1.182 * [backup-simplify]: Simplify -2 into -2 1.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.182 * [taylor]: Taking taylor expansion of PI in n 1.182 * [backup-simplify]: Simplify PI into PI 1.182 * [taylor]: Taking taylor expansion of n in n 1.182 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ PI 1) into PI 1.183 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.183 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.184 * [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)) 1.184 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.185 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.186 * [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))))) 1.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.186 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.186 * [taylor]: Taking taylor expansion of -1 in n 1.186 * [backup-simplify]: Simplify -1 into -1 1.186 * [taylor]: Taking taylor expansion of k in n 1.186 * [backup-simplify]: Simplify k into k 1.186 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.186 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.186 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.187 * [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))) 1.187 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1.187 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1.187 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1.187 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1.187 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1.187 * [taylor]: Taking taylor expansion of 1/2 in n 1.187 * [backup-simplify]: Simplify 1/2 into 1/2 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 1.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 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 * [taylor]: Taking taylor expansion of 1 in n 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.187 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.187 * [taylor]: Taking taylor expansion of -2 in n 1.187 * [backup-simplify]: Simplify -2 into -2 1.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.187 * [taylor]: Taking taylor expansion of PI in n 1.187 * [backup-simplify]: Simplify PI into PI 1.187 * [taylor]: Taking taylor expansion of n in n 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (/ PI 1) into PI 1.188 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.188 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.188 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1.189 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.190 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1.191 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.191 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.191 * [taylor]: Taking taylor expansion of -1 in n 1.191 * [backup-simplify]: Simplify -1 into -1 1.191 * [taylor]: Taking taylor expansion of k in n 1.191 * [backup-simplify]: Simplify k into k 1.191 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.191 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.191 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.192 * [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))) 1.192 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1.192 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1.192 * [taylor]: Taking taylor expansion of 1/2 in k 1.192 * [backup-simplify]: Simplify 1/2 into 1/2 1.192 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 1.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 * [taylor]: Taking taylor expansion of 1 in k 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.192 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.192 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.192 * [taylor]: Taking taylor expansion of -2 in k 1.192 * [backup-simplify]: Simplify -2 into -2 1.192 * [taylor]: Taking taylor expansion of PI in k 1.192 * [backup-simplify]: Simplify PI into PI 1.193 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI) 1.193 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1.193 * [taylor]: Taking taylor expansion of (log n) in k 1.193 * [taylor]: Taking taylor expansion of n in k 1.193 * [backup-simplify]: Simplify n into n 1.193 * [backup-simplify]: Simplify (log n) into (log n) 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.194 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.194 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1.195 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1.196 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1.196 * [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))))) 1.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.196 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.196 * [taylor]: Taking taylor expansion of -1 in k 1.196 * [backup-simplify]: Simplify -1 into -1 1.196 * [taylor]: Taking taylor expansion of k in k 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (/ -1 1) into -1 1.197 * [backup-simplify]: Simplify (sqrt 0) into 0 1.198 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.199 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1.199 * [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)))))) 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0 1.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.207 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1.209 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.210 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1.210 * [taylor]: Taking taylor expansion of 0 in k 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [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 1.216 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.217 * [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))))))) 1.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.223 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1.226 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1.229 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.229 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1.231 * [taylor]: Taking taylor expansion of 0 in k 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.240 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1.241 * [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))))))) 1.245 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1.245 * * * [progress]: simplifying candidates 1.245 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 1.246 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) 1.246 * * [simplify]: iters left: 6 (13 enodes) 1.252 * * [simplify]: iters left: 5 (54 enodes) 1.261 * * [simplify]: iters left: 4 (97 enodes) 1.283 * * [simplify]: iters left: 3 (242 enodes) 1.360 * * [simplify]: Extracting #0: cost 1 inf + 0 1.360 * * [simplify]: Extracting #1: cost 28 inf + 0 1.360 * * [simplify]: Extracting #2: cost 93 inf + 2 1.361 * * [simplify]: Extracting #3: cost 139 inf + 75 1.363 * * [simplify]: Extracting #4: cost 102 inf + 5195 1.372 * * [simplify]: Extracting #5: cost 14 inf + 28777 1.385 * * [simplify]: Extracting #6: cost 0 inf + 33789 1.398 * [simplify]: Simplified to (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2) 1.398 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (+ (log n) (log 2)) (log PI)) (* k (+ (+ (log n) (log 2)) (log PI)))) 2)) (sqrt k))) 1.398 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 1.399 * [simplify]: Simplifying (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) 1.399 * * [simplify]: iters left: 6 (12 enodes) 1.406 * * [simplify]: iters left: 5 (52 enodes) 1.427 * * [simplify]: iters left: 4 (90 enodes) 1.460 * * [simplify]: iters left: 3 (201 enodes) 1.529 * * [simplify]: iters left: 2 (496 enodes) 1.816 * * [simplify]: Extracting #0: cost 1 inf + 0 1.817 * * [simplify]: Extracting #1: cost 22 inf + 0 1.817 * * [simplify]: Extracting #2: cost 122 inf + 2 1.818 * * [simplify]: Extracting #3: cost 296 inf + 186 1.820 * * [simplify]: Extracting #4: cost 252 inf + 7310 1.833 * * [simplify]: Extracting #5: cost 66 inf + 59079 1.860 * * [simplify]: Extracting #6: cost 1 inf + 82178 1.880 * * [simplify]: Extracting #7: cost 0 inf + 82436 1.905 * [simplify]: Simplified to (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) 1.905 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2)) (sqrt k))) 1.905 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 1.905 * [simplify]: Simplifying (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) 1.905 * * [simplify]: iters left: 6 (11 enodes) 1.909 * * [simplify]: iters left: 5 (51 enodes) 1.918 * * [simplify]: iters left: 4 (97 enodes) 1.935 * * [simplify]: iters left: 3 (197 enodes) 2.000 * * [simplify]: iters left: 2 (491 enodes) 2.289 * * [simplify]: Extracting #0: cost 1 inf + 0 2.289 * * [simplify]: Extracting #1: cost 27 inf + 0 2.290 * * [simplify]: Extracting #2: cost 139 inf + 2 2.292 * * [simplify]: Extracting #3: cost 300 inf + 382 2.297 * * [simplify]: Extracting #4: cost 242 inf + 10228 2.310 * * [simplify]: Extracting #5: cost 53 inf + 57829 2.325 * * [simplify]: Extracting #6: cost 2 inf + 73504 2.341 * * [simplify]: Extracting #7: cost 0 inf + 74187 2.357 * [simplify]: Simplified to (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) 2.357 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2)) (sqrt k))) 2.357 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 2.357 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 2.357 * [simplify]: Simplifying (* n (* 2 PI)) 2.357 * * [simplify]: iters left: 4 (5 enodes) 2.359 * * [simplify]: iters left: 3 (19 enodes) 2.364 * * [simplify]: iters left: 2 (27 enodes) 2.371 * * [simplify]: iters left: 1 (32 enodes) 2.375 * * [simplify]: Extracting #0: cost 1 inf + 0 2.375 * * [simplify]: Extracting #1: cost 8 inf + 0 2.375 * * [simplify]: Extracting #2: cost 7 inf + 45 2.375 * * [simplify]: Extracting #3: cost 0 inf + 421 2.376 * [simplify]: Simplified to (* (* PI 2) n) 2.376 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.376 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 2.376 * [simplify]: Simplifying (* n (* 2 PI)) 2.376 * * [simplify]: iters left: 4 (5 enodes) 2.377 * * [simplify]: iters left: 3 (19 enodes) 2.380 * * [simplify]: iters left: 2 (27 enodes) 2.384 * * [simplify]: iters left: 1 (32 enodes) 2.389 * * [simplify]: Extracting #0: cost 1 inf + 0 2.389 * * [simplify]: Extracting #1: cost 8 inf + 0 2.389 * * [simplify]: Extracting #2: cost 7 inf + 45 2.389 * * [simplify]: Extracting #3: cost 0 inf + 421 2.389 * [simplify]: Simplified to (* (* PI 2) n) 2.389 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.389 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 2.389 * [simplify]: Simplifying (* n (* 2 PI)) 2.389 * * [simplify]: iters left: 4 (5 enodes) 2.391 * * [simplify]: iters left: 3 (19 enodes) 2.394 * * [simplify]: iters left: 2 (27 enodes) 2.402 * * [simplify]: iters left: 1 (32 enodes) 2.410 * * [simplify]: Extracting #0: cost 1 inf + 0 2.410 * * [simplify]: Extracting #1: cost 8 inf + 0 2.410 * * [simplify]: Extracting #2: cost 7 inf + 45 2.410 * * [simplify]: Extracting #3: cost 0 inf + 421 2.410 * [simplify]: Simplified to (* (* PI 2) n) 2.410 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1 (/ (- 1 k) 2))) (sqrt k))) 2.411 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 2.411 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ k 2)) 2.411 * * [simplify]: iters left: 5 (8 enodes) 2.416 * * [simplify]: iters left: 4 (31 enodes) 2.426 * * [simplify]: iters left: 3 (51 enodes) 2.442 * * [simplify]: iters left: 2 (85 enodes) 2.457 * * [simplify]: iters left: 1 (152 enodes) 2.490 * * [simplify]: Extracting #0: cost 1 inf + 0 2.490 * * [simplify]: Extracting #1: cost 13 inf + 0 2.490 * * [simplify]: Extracting #2: cost 59 inf + 1 2.491 * * [simplify]: Extracting #3: cost 76 inf + 9 2.492 * * [simplify]: Extracting #4: cost 41 inf + 3303 2.495 * * [simplify]: Extracting #5: cost 16 inf + 10676 2.497 * * [simplify]: Extracting #6: cost 0 inf + 21028 2.500 * * [simplify]: Extracting #7: cost 0 inf + 20456 2.502 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2)) 2.503 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 2.503 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 2.503 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 2.503 * * [simplify]: iters left: 5 (6 enodes) 2.505 * * [simplify]: iters left: 4 (26 enodes) 2.510 * * [simplify]: iters left: 3 (35 enodes) 2.515 * * [simplify]: Extracting #0: cost 1 inf + 0 2.515 * * [simplify]: Extracting #1: cost 3 inf + 0 2.515 * * [simplify]: Extracting #2: cost 8 inf + 0 2.515 * * [simplify]: Extracting #3: cost 11 inf + 2 2.515 * * [simplify]: Extracting #4: cost 8 inf + 87 2.516 * * [simplify]: Extracting #5: cost 2 inf + 500 2.516 * * [simplify]: Extracting #6: cost 0 inf + 746 2.516 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 2.516 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))) 2.516 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 2.516 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 2.516 * * [simplify]: iters left: 5 (6 enodes) 2.518 * * [simplify]: iters left: 4 (26 enodes) 2.523 * * [simplify]: iters left: 3 (35 enodes) 2.528 * * [simplify]: Extracting #0: cost 1 inf + 0 2.528 * * [simplify]: Extracting #1: cost 3 inf + 0 2.528 * * [simplify]: Extracting #2: cost 8 inf + 0 2.528 * * [simplify]: Extracting #3: cost 11 inf + 2 2.528 * * [simplify]: Extracting #4: cost 8 inf + 87 2.529 * * [simplify]: Extracting #5: cost 2 inf + 460 2.529 * * [simplify]: Extracting #6: cost 0 inf + 666 2.529 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 2.529 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))) 2.529 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 2.529 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 2.529 * * [simplify]: iters left: 5 (7 enodes) 2.532 * * [simplify]: iters left: 4 (25 enodes) 2.540 * * [simplify]: iters left: 3 (30 enodes) 2.545 * * [simplify]: Extracting #0: cost 1 inf + 0 2.545 * * [simplify]: Extracting #1: cost 4 inf + 0 2.545 * * [simplify]: Extracting #2: cost 8 inf + 0 2.545 * * [simplify]: Extracting #3: cost 10 inf + 82 2.545 * * [simplify]: Extracting #4: cost 7 inf + 206 2.545 * * [simplify]: Extracting #5: cost 2 inf + 575 2.545 * * [simplify]: Extracting #6: cost 1 inf + 818 2.545 * * [simplify]: Extracting #7: cost 0 inf + 1061 2.546 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 2.546 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.546 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 2.546 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 2.546 * * [simplify]: iters left: 5 (7 enodes) 2.548 * * [simplify]: iters left: 4 (25 enodes) 2.553 * * [simplify]: iters left: 3 (30 enodes) 2.560 * * [simplify]: Extracting #0: cost 1 inf + 0 2.560 * * [simplify]: Extracting #1: cost 4 inf + 0 2.560 * * [simplify]: Extracting #2: cost 8 inf + 0 2.560 * * [simplify]: Extracting #3: cost 10 inf + 42 2.560 * * [simplify]: Extracting #4: cost 7 inf + 126 2.560 * * [simplify]: Extracting #5: cost 2 inf + 495 2.560 * * [simplify]: Extracting #6: cost 1 inf + 698 2.560 * * [simplify]: Extracting #7: cost 0 inf + 901 2.561 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 2.561 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.561 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 2.561 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 2.561 * * [simplify]: iters left: 5 (6 enodes) 2.563 * * [simplify]: iters left: 4 (22 enodes) 2.567 * * [simplify]: iters left: 3 (27 enodes) 2.571 * * [simplify]: Extracting #0: cost 1 inf + 0 2.571 * * [simplify]: Extracting #1: cost 4 inf + 0 2.571 * * [simplify]: Extracting #2: cost 5 inf + 1 2.571 * * [simplify]: Extracting #3: cost 9 inf + 1 2.572 * * [simplify]: Extracting #4: cost 8 inf + 3 2.572 * * [simplify]: Extracting #5: cost 4 inf + 169 2.572 * * [simplify]: Extracting #6: cost 1 inf + 576 2.572 * * [simplify]: Extracting #7: cost 0 inf + 739 2.572 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 2.572 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k))) 2.572 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 2.572 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 2.572 * * [simplify]: iters left: 5 (7 enodes) 2.575 * * [simplify]: iters left: 4 (25 enodes) 2.583 * * [simplify]: iters left: 3 (30 enodes) 2.592 * * [simplify]: Extracting #0: cost 1 inf + 0 2.592 * * [simplify]: Extracting #1: cost 4 inf + 0 2.592 * * [simplify]: Extracting #2: cost 8 inf + 0 2.593 * * [simplify]: Extracting #3: cost 10 inf + 82 2.593 * * [simplify]: Extracting #4: cost 7 inf + 206 2.593 * * [simplify]: Extracting #5: cost 2 inf + 495 2.593 * * [simplify]: Extracting #6: cost 1 inf + 698 2.593 * * [simplify]: Extracting #7: cost 0 inf + 901 2.594 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 2.594 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k))) 2.594 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 2.594 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 2.594 * * [simplify]: iters left: 5 (7 enodes) 2.599 * * [simplify]: iters left: 4 (25 enodes) 2.607 * * [simplify]: iters left: 3 (30 enodes) 2.616 * * [simplify]: Extracting #0: cost 1 inf + 0 2.616 * * [simplify]: Extracting #1: cost 4 inf + 0 2.616 * * [simplify]: Extracting #2: cost 8 inf + 0 2.616 * * [simplify]: Extracting #3: cost 10 inf + 42 2.617 * * [simplify]: Extracting #4: cost 7 inf + 126 2.617 * * [simplify]: Extracting #5: cost 2 inf + 415 2.617 * * [simplify]: Extracting #6: cost 1 inf + 578 2.617 * * [simplify]: Extracting #7: cost 0 inf + 741 2.618 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 2.618 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k))) 2.618 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 2.618 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 2.618 * * [simplify]: iters left: 5 (6 enodes) 2.622 * * [simplify]: iters left: 4 (22 enodes) 2.628 * * [simplify]: iters left: 3 (27 enodes) 2.632 * * [simplify]: Extracting #0: cost 1 inf + 0 2.632 * * [simplify]: Extracting #1: cost 4 inf + 0 2.632 * * [simplify]: Extracting #2: cost 5 inf + 1 2.632 * * [simplify]: Extracting #3: cost 9 inf + 1 2.632 * * [simplify]: Extracting #4: cost 8 inf + 3 2.632 * * [simplify]: Extracting #5: cost 4 inf + 169 2.633 * * [simplify]: Extracting #6: cost 1 inf + 456 2.633 * * [simplify]: Extracting #7: cost 0 inf + 579 2.633 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 2.633 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k))) 2.633 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 2.633 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.633 * * [simplify]: iters left: 4 (6 enodes) 2.635 * * [simplify]: iters left: 3 (25 enodes) 2.640 * * [simplify]: iters left: 2 (36 enodes) 2.646 * * [simplify]: iters left: 1 (40 enodes) 2.652 * * [simplify]: Extracting #0: cost 1 inf + 0 2.652 * * [simplify]: Extracting #1: cost 7 inf + 0 2.652 * * [simplify]: Extracting #2: cost 16 inf + 0 2.652 * * [simplify]: Extracting #3: cost 13 inf + 44 2.653 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.653 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.653 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.653 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.653 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 2.653 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.653 * * [simplify]: iters left: 4 (6 enodes) 2.656 * * [simplify]: iters left: 3 (25 enodes) 2.661 * * [simplify]: iters left: 2 (36 enodes) 2.673 * * [simplify]: iters left: 1 (40 enodes) 2.687 * * [simplify]: Extracting #0: cost 1 inf + 0 2.687 * * [simplify]: Extracting #1: cost 7 inf + 0 2.687 * * [simplify]: Extracting #2: cost 16 inf + 0 2.687 * * [simplify]: Extracting #3: cost 13 inf + 44 2.687 * * [simplify]: Extracting #4: cost 3 inf + 823 2.688 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.688 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.688 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.688 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 2.688 * [simplify]: Simplifying (/ (- 1 k) 2) 2.688 * * [simplify]: iters left: 4 (5 enodes) 2.690 * * [simplify]: iters left: 3 (23 enodes) 2.694 * * [simplify]: iters left: 2 (32 enodes) 2.699 * * [simplify]: Extracting #0: cost 1 inf + 0 2.700 * * [simplify]: Extracting #1: cost 6 inf + 0 2.700 * * [simplify]: Extracting #2: cost 9 inf + 2 2.700 * * [simplify]: Extracting #3: cost 6 inf + 87 2.700 * * [simplify]: Extracting #4: cost 0 inf + 420 2.700 * [simplify]: Simplified to (/ (- 1 k) 2) 2.700 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.700 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 2.700 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2.700 * * [simplify]: iters left: 5 (8 enodes) 2.703 * * [simplify]: iters left: 4 (31 enodes) 2.708 * * [simplify]: iters left: 3 (45 enodes) 2.715 * * [simplify]: iters left: 2 (51 enodes) 2.727 * * [simplify]: iters left: 1 (52 enodes) 2.741 * * [simplify]: Extracting #0: cost 1 inf + 0 2.741 * * [simplify]: Extracting #1: cost 8 inf + 0 2.741 * * [simplify]: Extracting #2: cost 18 inf + 0 2.741 * * [simplify]: Extracting #3: cost 19 inf + 2 2.741 * * [simplify]: Extracting #4: cost 9 inf + 977 2.742 * * [simplify]: Extracting #5: cost 2 inf + 1790 2.743 * * [simplify]: Extracting #6: cost 0 inf + 2195 2.743 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.743 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.743 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 2.744 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2.744 * * [simplify]: iters left: 5 (8 enodes) 2.749 * * [simplify]: iters left: 4 (31 enodes) 2.760 * * [simplify]: iters left: 3 (45 enodes) 2.770 * * [simplify]: iters left: 2 (51 enodes) 2.777 * * [simplify]: iters left: 1 (52 enodes) 2.785 * * [simplify]: Extracting #0: cost 1 inf + 0 2.785 * * [simplify]: Extracting #1: cost 8 inf + 0 2.785 * * [simplify]: Extracting #2: cost 18 inf + 0 2.785 * * [simplify]: Extracting #3: cost 19 inf + 2 2.785 * * [simplify]: Extracting #4: cost 9 inf + 697 2.786 * * [simplify]: Extracting #5: cost 2 inf + 1390 2.786 * * [simplify]: Extracting #6: cost 0 inf + 1715 2.787 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.787 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.787 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 2.787 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 2.787 * * [simplify]: iters left: 5 (7 enodes) 2.791 * * [simplify]: iters left: 4 (29 enodes) 2.796 * * [simplify]: iters left: 3 (43 enodes) 2.803 * * [simplify]: iters left: 2 (47 enodes) 2.809 * * [simplify]: Extracting #0: cost 1 inf + 0 2.810 * * [simplify]: Extracting #1: cost 7 inf + 0 2.810 * * [simplify]: Extracting #2: cost 11 inf + 2 2.810 * * [simplify]: Extracting #3: cost 13 inf + 3 2.810 * * [simplify]: Extracting #4: cost 11 inf + 45 2.810 * * [simplify]: Extracting #5: cost 0 inf + 1066 2.810 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.810 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.810 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 2.811 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 2.811 * * [simplify]: iters left: 5 (7 enodes) 2.813 * * [simplify]: iters left: 4 (28 enodes) 2.821 * * [simplify]: iters left: 3 (39 enodes) 2.834 * * [simplify]: iters left: 2 (43 enodes) 2.845 * * [simplify]: Extracting #0: cost 1 inf + 0 2.845 * * [simplify]: Extracting #1: cost 7 inf + 0 2.845 * * [simplify]: Extracting #2: cost 16 inf + 0 2.845 * * [simplify]: Extracting #3: cost 15 inf + 164 2.845 * * [simplify]: Extracting #4: cost 13 inf + 287 2.845 * * [simplify]: Extracting #5: cost 5 inf + 1180 2.846 * * [simplify]: Extracting #6: cost 0 inf + 1951 2.846 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 2.846 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k))) 2.846 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 2.846 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 2.846 * * [simplify]: iters left: 5 (7 enodes) 2.849 * * [simplify]: iters left: 4 (28 enodes) 2.854 * * [simplify]: iters left: 3 (39 enodes) 2.860 * * [simplify]: iters left: 2 (43 enodes) 2.868 * * [simplify]: Extracting #0: cost 1 inf + 0 2.868 * * [simplify]: Extracting #1: cost 7 inf + 0 2.868 * * [simplify]: Extracting #2: cost 16 inf + 0 2.868 * * [simplify]: Extracting #3: cost 15 inf + 84 2.868 * * [simplify]: Extracting #4: cost 13 inf + 167 2.868 * * [simplify]: Extracting #5: cost 5 inf + 900 2.868 * * [simplify]: Extracting #6: cost 0 inf + 1551 2.869 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 2.869 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k))) 2.869 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 2.869 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 2.869 * * [simplify]: iters left: 5 (6 enodes) 2.871 * * [simplify]: iters left: 4 (26 enodes) 2.876 * * [simplify]: iters left: 3 (35 enodes) 2.881 * * [simplify]: Extracting #0: cost 1 inf + 0 2.881 * * [simplify]: Extracting #1: cost 6 inf + 0 2.881 * * [simplify]: Extracting #2: cost 9 inf + 2 2.881 * * [simplify]: Extracting #3: cost 11 inf + 3 2.882 * * [simplify]: Extracting #4: cost 10 inf + 4 2.882 * * [simplify]: Extracting #5: cost 3 inf + 535 2.882 * * [simplify]: Extracting #6: cost 0 inf + 822 2.882 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 2.882 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k))) 2.882 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 2.882 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 2.882 * * [simplify]: iters left: 4 (6 enodes) 2.885 * * [simplify]: iters left: 3 (25 enodes) 2.891 * * [simplify]: iters left: 2 (36 enodes) 2.897 * * [simplify]: iters left: 1 (40 enodes) 2.903 * * [simplify]: Extracting #0: cost 1 inf + 0 2.903 * * [simplify]: Extracting #1: cost 7 inf + 0 2.904 * * [simplify]: Extracting #2: cost 16 inf + 0 2.904 * * [simplify]: Extracting #3: cost 13 inf + 44 2.904 * * [simplify]: Extracting #4: cost 3 inf + 1103 2.904 * * [simplify]: Extracting #5: cost 0 inf + 1469 2.904 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 2.904 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k))) 2.904 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 2.905 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 2.905 * * [simplify]: iters left: 4 (6 enodes) 2.907 * * [simplify]: iters left: 3 (25 enodes) 2.912 * * [simplify]: iters left: 2 (36 enodes) 2.917 * * [simplify]: iters left: 1 (40 enodes) 2.923 * * [simplify]: Extracting #0: cost 1 inf + 0 2.924 * * [simplify]: Extracting #1: cost 7 inf + 0 2.924 * * [simplify]: Extracting #2: cost 16 inf + 0 2.924 * * [simplify]: Extracting #3: cost 13 inf + 44 2.924 * * [simplify]: Extracting #4: cost 3 inf + 823 2.924 * * [simplify]: Extracting #5: cost 0 inf + 1069 2.924 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 2.924 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k))) 2.924 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (/ (- 1 k) 2) 2.925 * * [simplify]: iters left: 4 (5 enodes) 2.927 * * [simplify]: iters left: 3 (23 enodes) 2.931 * * [simplify]: iters left: 2 (32 enodes) 2.940 * * [simplify]: Extracting #0: cost 1 inf + 0 2.940 * * [simplify]: Extracting #1: cost 6 inf + 0 2.940 * * [simplify]: Extracting #2: cost 9 inf + 2 2.941 * * [simplify]: Extracting #3: cost 6 inf + 87 2.941 * * [simplify]: Extracting #4: cost 0 inf + 420 2.941 * [simplify]: Simplified to (/ (- 1 k) 2) 2.941 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k))) 2.941 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 2.942 * [simplify]: Simplifying (/ (- 1 k) 2) 2.942 * * [simplify]: iters left: 4 (5 enodes) 2.945 * * [simplify]: iters left: 3 (23 enodes) 2.953 * * [simplify]: iters left: 2 (32 enodes) 2.962 * * [simplify]: Extracting #0: cost 1 inf + 0 2.963 * * [simplify]: Extracting #1: cost 6 inf + 0 2.963 * * [simplify]: Extracting #2: cost 9 inf + 2 2.963 * * [simplify]: Extracting #3: cost 6 inf + 87 2.963 * * [simplify]: Extracting #4: cost 0 inf + 420 2.963 * [simplify]: Simplified to (/ (- 1 k) 2) 2.963 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k))) 2.963 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 2.964 * [simplify]: Simplifying (/ 1 2) 2.964 * * [simplify]: iters left: 2 (3 enodes) 2.967 * * [simplify]: iters left: 1 (12 enodes) 2.971 * * [simplify]: Extracting #0: cost 1 inf + 0 2.971 * * [simplify]: Extracting #1: cost 0 inf + 1 2.971 * [simplify]: Simplified to 1/2 2.971 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k))) 2.971 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 2.971 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 2.971 * * [simplify]: iters left: 5 (7 enodes) 2.976 * * [simplify]: iters left: 4 (32 enodes) 2.988 * * [simplify]: iters left: 3 (57 enodes) 3.006 * * [simplify]: iters left: 2 (88 enodes) 3.040 * * [simplify]: iters left: 1 (156 enodes) 3.092 * * [simplify]: Extracting #0: cost 1 inf + 0 3.092 * * [simplify]: Extracting #1: cost 13 inf + 0 3.092 * * [simplify]: Extracting #2: cost 49 inf + 2 3.092 * * [simplify]: Extracting #3: cost 80 inf + 6 3.093 * * [simplify]: Extracting #4: cost 58 inf + 1840 3.094 * * [simplify]: Extracting #5: cost 22 inf + 9206 3.097 * * [simplify]: Extracting #6: cost 1 inf + 20886 3.100 * * [simplify]: Extracting #7: cost 0 inf + 21301 3.103 * * [simplify]: Extracting #8: cost 0 inf + 21130 3.106 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 3.106 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 3.106 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 3.106 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 3.107 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))> 3.107 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 3.107 * [simplify]: Simplifying (* n (* 2 PI)) 3.107 * * [simplify]: iters left: 4 (5 enodes) 3.109 * * [simplify]: iters left: 3 (19 enodes) 3.112 * * [simplify]: iters left: 2 (27 enodes) 3.116 * * [simplify]: iters left: 1 (32 enodes) 3.120 * * [simplify]: Extracting #0: cost 1 inf + 0 3.120 * * [simplify]: Extracting #1: cost 8 inf + 0 3.120 * * [simplify]: Extracting #2: cost 7 inf + 45 3.120 * * [simplify]: Extracting #3: cost 0 inf + 421 3.120 * [simplify]: Simplified to (* (* PI 2) n) 3.120 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.121 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 3.121 * [simplify]: Simplifying (* n (* 2 PI)) 3.121 * * [simplify]: iters left: 4 (5 enodes) 3.124 * * [simplify]: iters left: 3 (19 enodes) 3.127 * * [simplify]: iters left: 2 (27 enodes) 3.131 * * [simplify]: iters left: 1 (32 enodes) 3.135 * * [simplify]: Extracting #0: cost 1 inf + 0 3.135 * * [simplify]: Extracting #1: cost 8 inf + 0 3.135 * * [simplify]: Extracting #2: cost 7 inf + 45 3.136 * * [simplify]: Extracting #3: cost 0 inf + 421 3.136 * [simplify]: Simplified to (* (* PI 2) n) 3.136 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (pow (* (* PI 2) n) 1) (/ (- 1 k) 2)) (sqrt k))) 3.136 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 3.136 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 3.136 * [simplify]: Simplifying (+ (log n) (+ (log 2) (log PI))) 3.136 * * [simplify]: iters left: 5 (8 enodes) 3.138 * * [simplify]: iters left: 4 (28 enodes) 3.146 * * [simplify]: iters left: 3 (36 enodes) 3.157 * * [simplify]: iters left: 2 (42 enodes) 3.168 * * [simplify]: Extracting #0: cost 1 inf + 0 3.168 * * [simplify]: Extracting #1: cost 8 inf + 0 3.168 * * [simplify]: Extracting #2: cost 17 inf + 0 3.168 * * [simplify]: Extracting #3: cost 12 inf + 145 3.169 * * [simplify]: Extracting #4: cost 5 inf + 1197 3.169 * * [simplify]: Extracting #5: cost 1 inf + 1925 3.170 * * [simplify]: Extracting #6: cost 0 inf + 2107 3.170 * [simplify]: Simplified to (+ (log n) (+ (log 2) (log PI))) 3.170 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.171 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 3.171 * [simplify]: Simplifying (+ (log n) (log (* 2 PI))) 3.171 * * [simplify]: iters left: 5 (7 enodes) 3.175 * * [simplify]: iters left: 4 (26 enodes) 3.183 * * [simplify]: iters left: 3 (35 enodes) 3.193 * * [simplify]: iters left: 2 (44 enodes) 3.205 * * [simplify]: Extracting #0: cost 1 inf + 0 3.205 * * [simplify]: Extracting #1: cost 8 inf + 0 3.205 * * [simplify]: Extracting #2: cost 18 inf + 0 3.206 * * [simplify]: Extracting #3: cost 15 inf + 74 3.206 * * [simplify]: Extracting #4: cost 8 inf + 554 3.206 * * [simplify]: Extracting #5: cost 0 inf + 1911 3.207 * [simplify]: Simplified to (+ (log n) (log (* 2 PI))) 3.207 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k))) 3.207 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 3.207 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 3.207 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 3.208 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI))) 3.208 * * [simplify]: iters left: 6 (11 enodes) 3.216 * * [simplify]: iters left: 5 (48 enodes) 3.235 * * [simplify]: iters left: 4 (121 enodes) 3.295 * * [simplify]: iters left: 3 (348 enodes) 3.479 * * [simplify]: Extracting #0: cost 1 inf + 0 3.480 * * [simplify]: Extracting #1: cost 67 inf + 0 3.481 * * [simplify]: Extracting #2: cost 165 inf + 786 3.486 * * [simplify]: Extracting #3: cost 85 inf + 10177 3.498 * * [simplify]: Extracting #4: cost 9 inf + 26399 3.505 * * [simplify]: Extracting #5: cost 0 inf + 28546 3.511 * * [simplify]: Extracting #6: cost 0 inf + 28506 3.518 * [simplify]: Simplified to (* (* (* (* n PI) (* n PI)) 8) (* n PI)) 3.518 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* n PI) (* n PI)) 8) (* n PI))) (/ (- 1 k) 2)) (sqrt k))) 3.518 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 3.518 * [simplify]: Simplifying (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI))) 3.518 * * [simplify]: iters left: 6 (9 enodes) 3.521 * * [simplify]: iters left: 5 (45 enodes) 3.530 * * [simplify]: iters left: 4 (117 enodes) 3.583 * * [simplify]: iters left: 3 (374 enodes) 3.897 * * [simplify]: Extracting #0: cost 1 inf + 0 3.897 * * [simplify]: Extracting #1: cost 77 inf + 0 3.898 * * [simplify]: Extracting #2: cost 184 inf + 984 3.905 * * [simplify]: Extracting #3: cost 106 inf + 11690 3.914 * * [simplify]: Extracting #4: cost 6 inf + 30376 3.924 * * [simplify]: Extracting #5: cost 0 inf + 31644 3.940 * [simplify]: Simplified to (* (* (* (* PI n) (* PI n)) 8) (* PI n)) 3.940 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* (* PI n) (* PI n)) 8) (* PI n))) (/ (- 1 k) 2)) (sqrt k))) 3.940 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 3.940 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 3.940 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 3.940 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 3.940 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 3.941 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 3.941 * [simplify]: Simplifying (* (cbrt n) (cbrt n)) 3.941 * * [simplify]: iters left: 3 (3 enodes) 3.941 * * [simplify]: iters left: 2 (9 enodes) 3.943 * * [simplify]: Extracting #0: cost 1 inf + 0 3.943 * * [simplify]: Extracting #1: cost 3 inf + 0 3.943 * * [simplify]: Extracting #2: cost 5 inf + 0 3.943 * * [simplify]: Extracting #3: cost 4 inf + 1 3.943 * * [simplify]: Extracting #4: cost 0 inf + 405 3.943 * [simplify]: Simplified to (* (cbrt n) (cbrt n)) 3.943 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.943 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 3.943 * [simplify]: Simplifying (sqrt n) 3.943 * * [simplify]: iters left: 1 (2 enodes) 3.944 * * [simplify]: Extracting #0: cost 1 inf + 0 3.944 * * [simplify]: Extracting #1: cost 3 inf + 0 3.944 * * [simplify]: Extracting #2: cost 2 inf + 1 3.944 * * [simplify]: Extracting #3: cost 0 inf + 83 3.944 * [simplify]: Simplified to (sqrt n) 3.944 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k))) 3.944 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 3.944 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))> 3.944 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 3.944 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 3.944 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 3.944 * [simplify]: Simplifying (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k))) 3.944 * * [simplify]: iters left: 6 (16 enodes) 3.949 * * [simplify]: iters left: 5 (65 enodes) 3.960 * * [simplify]: iters left: 4 (111 enodes) 4.002 * * [simplify]: iters left: 3 (294 enodes) 4.114 * * [simplify]: Extracting #0: cost 1 inf + 0 4.115 * * [simplify]: Extracting #1: cost 32 inf + 0 4.115 * * [simplify]: Extracting #2: cost 82 inf + 0 4.116 * * [simplify]: Extracting #3: cost 145 inf + 73 4.117 * * [simplify]: Extracting #4: cost 158 inf + 1797 4.125 * * [simplify]: Extracting #5: cost 56 inf + 27690 4.140 * * [simplify]: Extracting #6: cost 4 inf + 45043 4.149 * * [simplify]: Extracting #7: cost 0 inf + 46559 4.158 * [simplify]: Simplified to (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))) 4.158 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log PI) (+ (log n) (log 2))) (* k (+ (log PI) (+ (log n) (log 2))))) 2) (log (sqrt k))))) 4.158 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 4.159 * [simplify]: Simplifying (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.159 * * [simplify]: iters left: 6 (15 enodes) 4.164 * * [simplify]: iters left: 5 (63 enodes) 4.184 * * [simplify]: iters left: 4 (104 enodes) 4.226 * * [simplify]: iters left: 3 (238 enodes) 4.329 * * [simplify]: Extracting #0: cost 1 inf + 0 4.329 * * [simplify]: Extracting #1: cost 30 inf + 0 4.329 * * [simplify]: Extracting #2: cost 78 inf + 0 4.330 * * [simplify]: Extracting #3: cost 131 inf + 73 4.330 * * [simplify]: Extracting #4: cost 147 inf + 821 4.333 * * [simplify]: Extracting #5: cost 71 inf + 15644 4.341 * * [simplify]: Extracting #6: cost 4 inf + 36895 4.356 * * [simplify]: Extracting #7: cost 0 inf + 38761 4.370 * [simplify]: Simplified to (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))) 4.370 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (+ (log n) (log (* 2 PI))) (* (+ (log n) (log (* 2 PI))) k)) 2) (log (sqrt k))))) 4.370 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 4.370 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.371 * * [simplify]: iters left: 6 (14 enodes) 4.378 * * [simplify]: iters left: 5 (62 enodes) 4.399 * * [simplify]: iters left: 4 (111 enodes) 4.436 * * [simplify]: iters left: 3 (223 enodes) 4.521 * * [simplify]: Extracting #0: cost 1 inf + 0 4.521 * * [simplify]: Extracting #1: cost 19 inf + 0 4.521 * * [simplify]: Extracting #2: cost 67 inf + 0 4.521 * * [simplify]: Extracting #3: cost 123 inf + 2 4.522 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.526 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.534 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.547 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.547 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.547 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 4.547 * [simplify]: Simplifying (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k))) 4.547 * * [simplify]: iters left: 6 (14 enodes) 4.556 * * [simplify]: iters left: 5 (62 enodes) 4.580 * * [simplify]: iters left: 4 (111 enodes) 4.602 * * [simplify]: iters left: 3 (223 enodes) 4.687 * * [simplify]: Extracting #0: cost 1 inf + 0 4.687 * * [simplify]: Extracting #1: cost 19 inf + 0 4.687 * * [simplify]: Extracting #2: cost 67 inf + 0 4.688 * * [simplify]: Extracting #3: cost 123 inf + 2 4.689 * * [simplify]: Extracting #4: cost 139 inf + 1713 4.697 * * [simplify]: Extracting #5: cost 32 inf + 23885 4.709 * * [simplify]: Extracting #6: cost 0 inf + 31232 4.722 * [simplify]: Simplified to (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))) 4.722 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* PI 2) n)) (* k (log (* (* PI 2) n)))) 2) (log (sqrt k))))) 4.722 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 4.723 * [simplify]: Simplifying (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 4.723 * * [simplify]: iters left: 6 (14 enodes) 4.731 * * [simplify]: iters left: 5 (61 enodes) 4.751 * * [simplify]: iters left: 4 (111 enodes) 4.788 * * [simplify]: iters left: 3 (218 enodes) 4.840 * * [simplify]: Extracting #0: cost 1 inf + 0 4.840 * * [simplify]: Extracting #1: cost 20 inf + 0 4.840 * * [simplify]: Extracting #2: cost 94 inf + 0 4.841 * * [simplify]: Extracting #3: cost 167 inf + 2 4.842 * * [simplify]: Extracting #4: cost 164 inf + 1228 4.847 * * [simplify]: Extracting #5: cost 76 inf + 17725 4.857 * * [simplify]: Extracting #6: cost 9 inf + 35809 4.869 * * [simplify]: Extracting #7: cost 0 inf + 40227 4.881 * [simplify]: Simplified to (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))) 4.881 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (log (* (* PI 2) n)) (- 1 k)) 2) (log (sqrt k))))) 4.882 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 4.882 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 4.882 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 4.882 * [simplify]: Simplifying (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 4.882 * * [simplify]: iters left: 6 (16 enodes) 4.890 * * [simplify]: iters left: 5 (72 enodes) 4.917 * * [simplify]: iters left: 4 (165 enodes) 4.990 * * [simplify]: iters left: 3 (474 enodes) 5.279 * * [simplify]: Extracting #0: cost 1 inf + 0 5.279 * * [simplify]: Extracting #1: cost 172 inf + 0 5.282 * * [simplify]: Extracting #2: cost 449 inf + 1 5.286 * * [simplify]: Extracting #3: cost 500 inf + 248 5.291 * * [simplify]: Extracting #4: cost 476 inf + 4785 5.312 * * [simplify]: Extracting #5: cost 302 inf + 101232 5.385 * * [simplify]: Extracting #6: cost 26 inf + 307299 5.438 * * [simplify]: Extracting #7: cost 0 inf + 323493 5.501 * * [simplify]: Extracting #8: cost 0 inf + 323103 5.551 * [simplify]: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 5.551 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* PI 2) n) (/ (- 1 k) 2)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ k (pow (* (* PI 2) n) (/ (- 1 k) 2)))))) 5.551 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 5.551 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 5.551 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 5.551 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 5.551 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 5.551 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.551 * * [simplify]: iters left: 6 (11 enodes) 5.555 * * [simplify]: iters left: 5 (46 enodes) 5.569 * * [simplify]: iters left: 4 (79 enodes) 5.592 * * [simplify]: iters left: 3 (135 enodes) 5.623 * * [simplify]: iters left: 2 (270 enodes) 5.715 * * [simplify]: Extracting #0: cost 1 inf + 0 5.715 * * [simplify]: Extracting #1: cost 56 inf + 0 5.716 * * [simplify]: Extracting #2: cost 151 inf + 0 5.716 * * [simplify]: Extracting #3: cost 211 inf + 3 5.718 * * [simplify]: Extracting #4: cost 182 inf + 8248 5.722 * * [simplify]: Extracting #5: cost 108 inf + 32321 5.731 * * [simplify]: Extracting #6: cost 40 inf + 73343 5.754 * * [simplify]: Extracting #7: cost 0 inf + 103841 5.780 * * [simplify]: Extracting #8: cost 0 inf + 103639 5.807 * * [simplify]: Extracting #9: cost 0 inf + 103517 5.833 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 5.833 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 5.833 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 5.833 * * [simplify]: iters left: 6 (11 enodes) 5.840 * * [simplify]: iters left: 5 (45 enodes) 5.857 * * [simplify]: iters left: 4 (68 enodes) 5.880 * * [simplify]: iters left: 3 (110 enodes) 5.902 * * [simplify]: iters left: 2 (217 enodes) 5.957 * * [simplify]: iters left: 1 (456 enodes) 6.480 * * [simplify]: Extracting #0: cost 1 inf + 0 6.481 * * [simplify]: Extracting #1: cost 44 inf + 0 6.482 * * [simplify]: Extracting #2: cost 133 inf + 0 6.483 * * [simplify]: Extracting #3: cost 211 inf + 3 6.485 * * [simplify]: Extracting #4: cost 209 inf + 1047 6.490 * * [simplify]: Extracting #5: cost 156 inf + 8593 6.496 * * [simplify]: Extracting #6: cost 83 inf + 43654 6.511 * * [simplify]: Extracting #7: cost 10 inf + 107740 6.528 * * [simplify]: Extracting #8: cost 0 inf + 116394 6.549 * * [simplify]: Extracting #9: cost 0 inf + 115425 6.570 * * [simplify]: Extracting #10: cost 0 inf + 114468 6.596 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 6.596 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 6.596 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 6.597 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 6.597 * * [simplify]: iters left: 6 (11 enodes) 6.603 * * [simplify]: iters left: 5 (45 enodes) 6.618 * * [simplify]: iters left: 4 (72 enodes) 6.638 * * [simplify]: iters left: 3 (113 enodes) 6.659 * * [simplify]: iters left: 2 (202 enodes) 6.718 * * [simplify]: iters left: 1 (423 enodes) 6.916 * * [simplify]: Extracting #0: cost 1 inf + 0 6.916 * * [simplify]: Extracting #1: cost 45 inf + 0 6.917 * * [simplify]: Extracting #2: cost 135 inf + 0 6.918 * * [simplify]: Extracting #3: cost 200 inf + 4 6.921 * * [simplify]: Extracting #4: cost 178 inf + 4405 6.929 * * [simplify]: Extracting #5: cost 89 inf + 41805 6.942 * * [simplify]: Extracting #6: cost 6 inf + 96015 6.961 * * [simplify]: Extracting #7: cost 0 inf + 93673 6.994 * * [simplify]: Extracting #8: cost 0 inf + 88687 7.013 * * [simplify]: Extracting #9: cost 0 inf + 87603 7.032 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 7.032 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 7.033 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 7.033 * * [simplify]: iters left: 6 (11 enodes) 7.036 * * [simplify]: iters left: 5 (45 enodes) 7.045 * * [simplify]: iters left: 4 (68 enodes) 7.059 * * [simplify]: iters left: 3 (110 enodes) 7.101 * * [simplify]: iters left: 2 (217 enodes) 7.163 * * [simplify]: iters left: 1 (456 enodes) 7.372 * * [simplify]: Extracting #0: cost 1 inf + 0 7.372 * * [simplify]: Extracting #1: cost 44 inf + 0 7.372 * * [simplify]: Extracting #2: cost 133 inf + 0 7.373 * * [simplify]: Extracting #3: cost 211 inf + 3 7.374 * * [simplify]: Extracting #4: cost 209 inf + 1127 7.377 * * [simplify]: Extracting #5: cost 156 inf + 8673 7.388 * * [simplify]: Extracting #6: cost 83 inf + 43734 7.413 * * [simplify]: Extracting #7: cost 10 inf + 107820 7.430 * * [simplify]: Extracting #8: cost 0 inf + 116474 7.460 * * [simplify]: Extracting #9: cost 0 inf + 115505 7.480 * * [simplify]: Extracting #10: cost 0 inf + 114548 7.498 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 7.498 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 7.498 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 7.498 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.498 * * [simplify]: iters left: 6 (10 enodes) 7.501 * * [simplify]: iters left: 5 (41 enodes) 7.518 * * [simplify]: iters left: 4 (68 enodes) 7.540 * * [simplify]: iters left: 3 (109 enodes) 7.571 * * [simplify]: iters left: 2 (194 enodes) 7.629 * * [simplify]: iters left: 1 (414 enodes) 7.817 * * [simplify]: Extracting #0: cost 1 inf + 0 7.818 * * [simplify]: Extracting #1: cost 45 inf + 0 7.818 * * [simplify]: Extracting #2: cost 141 inf + 0 7.820 * * [simplify]: Extracting #3: cost 206 inf + 4 7.823 * * [simplify]: Extracting #4: cost 178 inf + 9345 7.834 * * [simplify]: Extracting #5: cost 101 inf + 32669 7.860 * * [simplify]: Extracting #6: cost 15 inf + 90305 7.891 * * [simplify]: Extracting #7: cost 0 inf + 100314 7.922 * * [simplify]: Extracting #8: cost 0 inf + 100143 7.940 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.940 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 7.940 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 7.940 * * [simplify]: iters left: 6 (11 enodes) 7.944 * * [simplify]: iters left: 5 (45 enodes) 7.954 * * [simplify]: iters left: 4 (68 enodes) 7.966 * * [simplify]: iters left: 3 (110 enodes) 7.988 * * [simplify]: iters left: 2 (217 enodes) 8.062 * * [simplify]: iters left: 1 (456 enodes) 8.267 * * [simplify]: Extracting #0: cost 1 inf + 0 8.267 * * [simplify]: Extracting #1: cost 44 inf + 0 8.268 * * [simplify]: Extracting #2: cost 133 inf + 0 8.269 * * [simplify]: Extracting #3: cost 211 inf + 3 8.272 * * [simplify]: Extracting #4: cost 209 inf + 967 8.277 * * [simplify]: Extracting #5: cost 156 inf + 8433 8.289 * * [simplify]: Extracting #6: cost 83 inf + 42774 8.318 * * [simplify]: Extracting #7: cost 10 inf + 105380 8.350 * * [simplify]: Extracting #8: cost 0 inf + 113674 8.383 * * [simplify]: Extracting #9: cost 0 inf + 112705 8.413 * * [simplify]: Extracting #10: cost 0 inf + 111748 8.431 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 8.431 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 8.431 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 8.432 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 8.432 * * [simplify]: iters left: 6 (9 enodes) 8.435 * * [simplify]: iters left: 5 (38 enodes) 8.443 * * [simplify]: iters left: 4 (63 enodes) 8.461 * * [simplify]: iters left: 3 (100 enodes) 8.495 * * [simplify]: iters left: 2 (175 enodes) 8.563 * * [simplify]: iters left: 1 (360 enodes) 8.767 * * [simplify]: Extracting #0: cost 1 inf + 0 8.767 * * [simplify]: Extracting #1: cost 52 inf + 0 8.768 * * [simplify]: Extracting #2: cost 150 inf + 3 8.769 * * [simplify]: Extracting #3: cost 190 inf + 8 8.770 * * [simplify]: Extracting #4: cost 167 inf + 1999 8.773 * * [simplify]: Extracting #5: cost 109 inf + 14534 8.783 * * [simplify]: Extracting #6: cost 11 inf + 80954 8.803 * * [simplify]: Extracting #7: cost 0 inf + 87093 8.817 * * [simplify]: Extracting #8: cost 0 inf + 85003 8.831 * * [simplify]: Extracting #9: cost 0 inf + 84872 8.861 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 8.862 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 8.862 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 8.862 * * [simplify]: iters left: 6 (10 enodes) 8.868 * * [simplify]: iters left: 5 (42 enodes) 8.882 * * [simplify]: iters left: 4 (65 enodes) 8.903 * * [simplify]: iters left: 3 (104 enodes) 8.943 * * [simplify]: iters left: 2 (206 enodes) 9.007 * * [simplify]: iters left: 1 (433 enodes) 9.204 * * [simplify]: Extracting #0: cost 1 inf + 0 9.204 * * [simplify]: Extracting #1: cost 45 inf + 0 9.205 * * [simplify]: Extracting #2: cost 143 inf + 0 9.205 * * [simplify]: Extracting #3: cost 213 inf + 45 9.207 * * [simplify]: Extracting #4: cost 203 inf + 1718 9.214 * * [simplify]: Extracting #5: cost 130 inf + 20716 9.236 * * [simplify]: Extracting #6: cost 18 inf + 99664 9.259 * * [simplify]: Extracting #7: cost 0 inf + 106929 9.301 * * [simplify]: Extracting #8: cost 0 inf + 106247 9.340 * * [simplify]: Extracting #9: cost 0 inf + 105867 9.368 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 9.369 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 9.369 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 9.369 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.369 * * [simplify]: iters left: 6 (10 enodes) 9.373 * * [simplify]: iters left: 5 (41 enodes) 9.381 * * [simplify]: iters left: 4 (68 enodes) 9.403 * * [simplify]: iters left: 3 (109 enodes) 9.440 * * [simplify]: iters left: 2 (194 enodes) 9.502 * * [simplify]: iters left: 1 (414 enodes) 9.684 * * [simplify]: Extracting #0: cost 1 inf + 0 9.684 * * [simplify]: Extracting #1: cost 45 inf + 0 9.685 * * [simplify]: Extracting #2: cost 141 inf + 0 9.685 * * [simplify]: Extracting #3: cost 206 inf + 4 9.687 * * [simplify]: Extracting #4: cost 178 inf + 9345 9.692 * * [simplify]: Extracting #5: cost 101 inf + 32669 9.713 * * [simplify]: Extracting #6: cost 15 inf + 90305 9.744 * * [simplify]: Extracting #7: cost 0 inf + 100314 9.780 * * [simplify]: Extracting #8: cost 0 inf + 100143 9.811 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.811 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 9.812 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 9.812 * * [simplify]: iters left: 6 (11 enodes) 9.818 * * [simplify]: iters left: 5 (45 enodes) 9.833 * * [simplify]: iters left: 4 (68 enodes) 9.856 * * [simplify]: iters left: 3 (110 enodes) 9.886 * * [simplify]: iters left: 2 (217 enodes) 9.961 * * [simplify]: iters left: 1 (456 enodes) 10.166 * * [simplify]: Extracting #0: cost 1 inf + 0 10.166 * * [simplify]: Extracting #1: cost 44 inf + 0 10.167 * * [simplify]: Extracting #2: cost 133 inf + 0 10.168 * * [simplify]: Extracting #3: cost 211 inf + 3 10.170 * * [simplify]: Extracting #4: cost 209 inf + 967 10.175 * * [simplify]: Extracting #5: cost 156 inf + 8433 10.188 * * [simplify]: Extracting #6: cost 83 inf + 42774 10.216 * * [simplify]: Extracting #7: cost 10 inf + 105380 10.245 * * [simplify]: Extracting #8: cost 0 inf + 113674 10.262 * * [simplify]: Extracting #9: cost 0 inf + 112705 10.295 * * [simplify]: Extracting #10: cost 0 inf + 111748 10.330 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 10.330 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 10.330 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 10.331 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 10.331 * * [simplify]: iters left: 6 (8 enodes) 10.337 * * [simplify]: iters left: 5 (33 enodes) 10.346 * * [simplify]: iters left: 4 (56 enodes) 10.357 * * [simplify]: iters left: 3 (98 enodes) 10.378 * * [simplify]: iters left: 2 (203 enodes) 10.444 * * [simplify]: iters left: 1 (441 enodes) 10.708 * * [simplify]: Extracting #0: cost 1 inf + 0 10.709 * * [simplify]: Extracting #1: cost 49 inf + 0 10.710 * * [simplify]: Extracting #2: cost 157 inf + 3 10.711 * * [simplify]: Extracting #3: cost 212 inf + 8 10.712 * * [simplify]: Extracting #4: cost 198 inf + 1133 10.715 * * [simplify]: Extracting #5: cost 127 inf + 13703 10.725 * * [simplify]: Extracting #6: cost 35 inf + 74586 10.748 * * [simplify]: Extracting #7: cost 0 inf + 99668 10.787 * * [simplify]: Extracting #8: cost 0 inf + 99308 10.824 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 10.824 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 10.824 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 10.824 * * [simplify]: iters left: 6 (10 enodes) 10.830 * * [simplify]: iters left: 5 (42 enodes) 10.845 * * [simplify]: iters left: 4 (65 enodes) 10.863 * * [simplify]: iters left: 3 (104 enodes) 10.884 * * [simplify]: iters left: 2 (206 enodes) 10.950 * * [simplify]: iters left: 1 (433 enodes) 11.096 * * [simplify]: Extracting #0: cost 1 inf + 0 11.096 * * [simplify]: Extracting #1: cost 45 inf + 0 11.097 * * [simplify]: Extracting #2: cost 143 inf + 0 11.099 * * [simplify]: Extracting #3: cost 213 inf + 45 11.101 * * [simplify]: Extracting #4: cost 203 inf + 1718 11.108 * * [simplify]: Extracting #5: cost 130 inf + 20716 11.135 * * [simplify]: Extracting #6: cost 18 inf + 99664 11.179 * * [simplify]: Extracting #7: cost 0 inf + 106929 11.215 * * [simplify]: Extracting #8: cost 0 inf + 106247 11.247 * * [simplify]: Extracting #9: cost 0 inf + 105867 11.298 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 11.298 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 11.298 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 11.299 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 11.299 * * [simplify]: iters left: 6 (16 enodes) 11.308 * * [simplify]: iters left: 5 (69 enodes) 11.333 * * [simplify]: iters left: 4 (117 enodes) 11.370 * * [simplify]: iters left: 3 (164 enodes) 11.417 * * [simplify]: iters left: 2 (236 enodes) 11.470 * * [simplify]: iters left: 1 (387 enodes) 11.598 * * [simplify]: Extracting #0: cost 1 inf + 0 11.598 * * [simplify]: Extracting #1: cost 11 inf + 0 11.599 * * [simplify]: Extracting #2: cost 22 inf + 0 11.599 * * [simplify]: Extracting #3: cost 48 inf + 0 11.599 * * [simplify]: Extracting #4: cost 120 inf + 2 11.600 * * [simplify]: Extracting #5: cost 145 inf + 1787 11.603 * * [simplify]: Extracting #6: cost 89 inf + 14823 11.609 * * [simplify]: Extracting #7: cost 35 inf + 37040 11.619 * * [simplify]: Extracting #8: cost 4 inf + 64421 11.636 * * [simplify]: Extracting #9: cost 0 inf + 66215 11.659 * * [simplify]: Extracting #10: cost 0 inf + 65834 11.683 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 11.683 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 11.684 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 11.684 * * [simplify]: iters left: 6 (14 enodes) 11.695 * * [simplify]: iters left: 5 (57 enodes) 11.706 * * [simplify]: iters left: 4 (90 enodes) 11.720 * * [simplify]: iters left: 3 (127 enodes) 11.760 * * [simplify]: iters left: 2 (195 enodes) 11.808 * * [simplify]: iters left: 1 (356 enodes) 11.965 * * [simplify]: Extracting #0: cost 1 inf + 0 11.965 * * [simplify]: Extracting #1: cost 4 inf + 0 11.965 * * [simplify]: Extracting #2: cost 8 inf + 0 11.965 * * [simplify]: Extracting #3: cost 34 inf + 0 11.966 * * [simplify]: Extracting #4: cost 107 inf + 164 11.967 * * [simplify]: Extracting #5: cost 148 inf + 585 11.970 * * [simplify]: Extracting #6: cost 104 inf + 6057 11.978 * * [simplify]: Extracting #7: cost 40 inf + 28932 11.993 * * [simplify]: Extracting #8: cost 3 inf + 60785 12.003 * * [simplify]: Extracting #9: cost 0 inf + 62323 12.016 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 12.016 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 12.017 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 12.017 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) 12.017 * * [simplify]: iters left: 6 (16 enodes) 12.022 * * [simplify]: iters left: 5 (66 enodes) 12.038 * * [simplify]: iters left: 4 (103 enodes) 12.064 * * [simplify]: iters left: 3 (142 enodes) 12.094 * * [simplify]: iters left: 2 (210 enodes) 12.155 * * [simplify]: iters left: 1 (370 enodes) 12.291 * * [simplify]: Extracting #0: cost 1 inf + 0 12.292 * * [simplify]: Extracting #1: cost 7 inf + 0 12.292 * * [simplify]: Extracting #2: cost 15 inf + 0 12.292 * * [simplify]: Extracting #3: cost 43 inf + 0 12.292 * * [simplify]: Extracting #4: cost 113 inf + 204 12.293 * * [simplify]: Extracting #5: cost 144 inf + 990 12.294 * * [simplify]: Extracting #6: cost 110 inf + 4920 12.301 * * [simplify]: Extracting #7: cost 55 inf + 21303 12.320 * * [simplify]: Extracting #8: cost 13 inf + 52139 12.339 * * [simplify]: Extracting #9: cost 0 inf + 63233 12.358 * [simplify]: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) 12.358 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (fabs (cbrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 12.359 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 12.359 * * [simplify]: iters left: 6 (14 enodes) 12.367 * * [simplify]: iters left: 5 (57 enodes) 12.386 * * [simplify]: iters left: 4 (90 enodes) 12.416 * * [simplify]: iters left: 3 (127 enodes) 12.443 * * [simplify]: iters left: 2 (195 enodes) 12.503 * * [simplify]: iters left: 1 (356 enodes) 12.628 * * [simplify]: Extracting #0: cost 1 inf + 0 12.629 * * [simplify]: Extracting #1: cost 4 inf + 0 12.629 * * [simplify]: Extracting #2: cost 8 inf + 0 12.629 * * [simplify]: Extracting #3: cost 34 inf + 0 12.629 * * [simplify]: Extracting #4: cost 107 inf + 204 12.631 * * [simplify]: Extracting #5: cost 148 inf + 665 12.634 * * [simplify]: Extracting #6: cost 104 inf + 6137 12.647 * * [simplify]: Extracting #7: cost 40 inf + 29012 12.655 * * [simplify]: Extracting #8: cost 3 inf + 60865 12.665 * * [simplify]: Extracting #9: cost 0 inf + 62403 12.677 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))) 12.677 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))) 12.678 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 12.678 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 12.678 * * [simplify]: iters left: 6 (15 enodes) 12.687 * * [simplify]: iters left: 5 (62 enodes) 12.700 * * [simplify]: iters left: 4 (99 enodes) 12.717 * * [simplify]: iters left: 3 (142 enodes) 12.749 * * [simplify]: iters left: 2 (215 enodes) 12.805 * * [simplify]: iters left: 1 (364 enodes) 12.930 * * [simplify]: Extracting #0: cost 1 inf + 0 12.930 * * [simplify]: Extracting #1: cost 7 inf + 0 12.930 * * [simplify]: Extracting #2: cost 14 inf + 0 12.930 * * [simplify]: Extracting #3: cost 41 inf + 0 12.930 * * [simplify]: Extracting #4: cost 108 inf + 124 12.931 * * [simplify]: Extracting #5: cost 134 inf + 713 12.932 * * [simplify]: Extracting #6: cost 89 inf + 7865 12.939 * * [simplify]: Extracting #7: cost 23 inf + 42624 12.957 * * [simplify]: Extracting #8: cost 0 inf + 60960 12.975 * * [simplify]: Extracting #9: cost 0 inf + 60349 12.993 * * [simplify]: Extracting #10: cost 0 inf + 60309 13.010 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 13.011 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 13.011 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 13.011 * * [simplify]: iters left: 6 (14 enodes) 13.020 * * [simplify]: iters left: 5 (57 enodes) 13.039 * * [simplify]: iters left: 4 (90 enodes) 13.071 * * [simplify]: iters left: 3 (127 enodes) 13.094 * * [simplify]: iters left: 2 (195 enodes) 13.157 * * [simplify]: iters left: 1 (356 enodes) 13.302 * * [simplify]: Extracting #0: cost 1 inf + 0 13.302 * * [simplify]: Extracting #1: cost 4 inf + 0 13.303 * * [simplify]: Extracting #2: cost 8 inf + 0 13.303 * * [simplify]: Extracting #3: cost 34 inf + 0 13.303 * * [simplify]: Extracting #4: cost 107 inf + 124 13.305 * * [simplify]: Extracting #5: cost 148 inf + 505 13.308 * * [simplify]: Extracting #6: cost 104 inf + 5977 13.317 * * [simplify]: Extracting #7: cost 40 inf + 28772 13.334 * * [simplify]: Extracting #8: cost 3 inf + 60625 13.354 * * [simplify]: Extracting #9: cost 0 inf + 62163 13.375 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 13.375 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 13.375 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 13.375 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) 13.376 * * [simplify]: iters left: 6 (14 enodes) 13.384 * * [simplify]: iters left: 5 (59 enodes) 13.404 * * [simplify]: iters left: 4 (96 enodes) 13.439 * * [simplify]: iters left: 3 (136 enodes) 13.481 * * [simplify]: iters left: 2 (205 enodes) 13.552 * * [simplify]: iters left: 1 (370 enodes) 13.717 * * [simplify]: Extracting #0: cost 1 inf + 0 13.717 * * [simplify]: Extracting #1: cost 5 inf + 0 13.717 * * [simplify]: Extracting #2: cost 7 inf + 1 13.717 * * [simplify]: Extracting #3: cost 31 inf + 1 13.717 * * [simplify]: Extracting #4: cost 103 inf + 2 13.718 * * [simplify]: Extracting #5: cost 150 inf + 218 13.719 * * [simplify]: Extracting #6: cost 145 inf + 809 13.721 * * [simplify]: Extracting #7: cost 87 inf + 10304 13.729 * * [simplify]: Extracting #8: cost 25 inf + 34558 13.749 * * [simplify]: Extracting #9: cost 0 inf + 51677 13.763 * * [simplify]: Extracting #10: cost 0 inf + 51597 13.776 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 13.777 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 13.777 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 13.777 * * [simplify]: iters left: 6 (13 enodes) 13.783 * * [simplify]: iters left: 5 (54 enodes) 13.806 * * [simplify]: iters left: 4 (87 enodes) 13.834 * * [simplify]: iters left: 3 (128 enodes) 13.875 * * [simplify]: iters left: 2 (197 enodes) 13.938 * * [simplify]: iters left: 1 (354 enodes) 14.069 * * [simplify]: Extracting #0: cost 1 inf + 0 14.069 * * [simplify]: Extracting #1: cost 4 inf + 0 14.069 * * [simplify]: Extracting #2: cost 8 inf + 0 14.069 * * [simplify]: Extracting #3: cost 28 inf + 83 14.070 * * [simplify]: Extracting #4: cost 105 inf + 84 14.070 * * [simplify]: Extracting #5: cost 139 inf + 343 14.072 * * [simplify]: Extracting #6: cost 97 inf + 5103 14.077 * * [simplify]: Extracting #7: cost 34 inf + 36313 14.092 * * [simplify]: Extracting #8: cost 1 inf + 60074 14.103 * * [simplify]: Extracting #9: cost 0 inf + 60197 14.115 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 14.115 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 14.115 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 14.116 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) 14.116 * * [simplify]: iters left: 6 (15 enodes) 14.120 * * [simplify]: iters left: 5 (62 enodes) 14.134 * * [simplify]: iters left: 4 (99 enodes) 14.155 * * [simplify]: iters left: 3 (142 enodes) 14.183 * * [simplify]: iters left: 2 (215 enodes) 14.243 * * [simplify]: iters left: 1 (364 enodes) 14.359 * * [simplify]: Extracting #0: cost 1 inf + 0 14.359 * * [simplify]: Extracting #1: cost 7 inf + 0 14.359 * * [simplify]: Extracting #2: cost 14 inf + 0 14.359 * * [simplify]: Extracting #3: cost 41 inf + 0 14.360 * * [simplify]: Extracting #4: cost 108 inf + 124 14.360 * * [simplify]: Extracting #5: cost 134 inf + 713 14.362 * * [simplify]: Extracting #6: cost 89 inf + 7865 14.370 * * [simplify]: Extracting #7: cost 23 inf + 42624 14.389 * * [simplify]: Extracting #8: cost 0 inf + 60960 14.411 * * [simplify]: Extracting #9: cost 0 inf + 60349 14.424 * * [simplify]: Extracting #10: cost 0 inf + 60309 14.433 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 14.433 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 14.433 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 14.433 * * [simplify]: iters left: 6 (14 enodes) 14.438 * * [simplify]: iters left: 5 (57 enodes) 14.448 * * [simplify]: iters left: 4 (90 enodes) 14.469 * * [simplify]: iters left: 3 (127 enodes) 14.491 * * [simplify]: iters left: 2 (195 enodes) 14.543 * * [simplify]: iters left: 1 (356 enodes) 14.696 * * [simplify]: Extracting #0: cost 1 inf + 0 14.696 * * [simplify]: Extracting #1: cost 4 inf + 0 14.696 * * [simplify]: Extracting #2: cost 8 inf + 0 14.696 * * [simplify]: Extracting #3: cost 34 inf + 0 14.696 * * [simplify]: Extracting #4: cost 107 inf + 124 14.697 * * [simplify]: Extracting #5: cost 148 inf + 505 14.699 * * [simplify]: Extracting #6: cost 104 inf + 5977 14.713 * * [simplify]: Extracting #7: cost 40 inf + 28772 14.730 * * [simplify]: Extracting #8: cost 3 inf + 60625 14.740 * * [simplify]: Extracting #9: cost 0 inf + 62163 14.750 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 14.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 14.751 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 14.751 * [simplify]: Simplifying (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) 14.751 * * [simplify]: iters left: 6 (13 enodes) 14.755 * * [simplify]: iters left: 5 (54 enodes) 14.771 * * [simplify]: iters left: 4 (95 enodes) 14.795 * * [simplify]: iters left: 3 (137 enodes) 14.824 * * [simplify]: iters left: 2 (206 enodes) 14.890 * * [simplify]: iters left: 1 (362 enodes) 15.041 * * [simplify]: Extracting #0: cost 1 inf + 0 15.041 * * [simplify]: Extracting #1: cost 5 inf + 0 15.041 * * [simplify]: Extracting #2: cost 7 inf + 1 15.041 * * [simplify]: Extracting #3: cost 32 inf + 1 15.045 * * [simplify]: Extracting #4: cost 110 inf + 2 15.046 * * [simplify]: Extracting #5: cost 158 inf + 176 15.047 * * [simplify]: Extracting #6: cost 152 inf + 519 15.049 * * [simplify]: Extracting #7: cost 101 inf + 8278 15.056 * * [simplify]: Extracting #8: cost 36 inf + 29809 15.073 * * [simplify]: Extracting #9: cost 0 inf + 59743 15.091 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 15.092 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 15.092 * [simplify]: Simplifying (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 15.092 * * [simplify]: iters left: 6 (13 enodes) 15.099 * * [simplify]: iters left: 5 (54 enodes) 15.114 * * [simplify]: iters left: 4 (87 enodes) 15.139 * * [simplify]: iters left: 3 (128 enodes) 15.171 * * [simplify]: iters left: 2 (197 enodes) 15.226 * * [simplify]: iters left: 1 (354 enodes) 15.345 * * [simplify]: Extracting #0: cost 1 inf + 0 15.345 * * [simplify]: Extracting #1: cost 4 inf + 0 15.345 * * [simplify]: Extracting #2: cost 8 inf + 0 15.346 * * [simplify]: Extracting #3: cost 28 inf + 83 15.346 * * [simplify]: Extracting #4: cost 105 inf + 84 15.352 * * [simplify]: Extracting #5: cost 139 inf + 343 15.355 * * [simplify]: Extracting #6: cost 97 inf + 5103 15.365 * * [simplify]: Extracting #7: cost 34 inf + 36313 15.384 * * [simplify]: Extracting #8: cost 1 inf + 60074 15.403 * * [simplify]: Extracting #9: cost 0 inf + 60197 15.423 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)) 15.424 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k)))) 15.424 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 15.424 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.424 * * [simplify]: iters left: 6 (15 enodes) 15.430 * * [simplify]: iters left: 5 (62 enodes) 15.441 * * [simplify]: iters left: 4 (98 enodes) 15.456 * * [simplify]: iters left: 3 (134 enodes) 15.500 * * [simplify]: iters left: 2 (202 enodes) 15.542 * * [simplify]: iters left: 1 (362 enodes) 15.657 * * [simplify]: Extracting #0: cost 1 inf + 0 15.657 * * [simplify]: Extracting #1: cost 6 inf + 0 15.657 * * [simplify]: Extracting #2: cost 13 inf + 0 15.657 * * [simplify]: Extracting #3: cost 43 inf + 0 15.657 * * [simplify]: Extracting #4: cost 123 inf + 2 15.658 * * [simplify]: Extracting #5: cost 143 inf + 1737 15.663 * * [simplify]: Extracting #6: cost 78 inf + 14117 15.673 * * [simplify]: Extracting #7: cost 41 inf + 26321 15.684 * * [simplify]: Extracting #8: cost 0 inf + 58201 15.694 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 15.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 15.695 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k))) 15.695 * * [simplify]: iters left: 6 (14 enodes) 15.699 * * [simplify]: iters left: 5 (57 enodes) 15.714 * * [simplify]: iters left: 4 (91 enodes) 15.742 * * [simplify]: iters left: 3 (127 enodes) 15.787 * * [simplify]: iters left: 2 (195 enodes) 15.857 * * [simplify]: iters left: 1 (354 enodes) 15.989 * * [simplify]: Extracting #0: cost 1 inf + 0 15.989 * * [simplify]: Extracting #1: cost 4 inf + 0 15.989 * * [simplify]: Extracting #2: cost 9 inf + 0 15.989 * * [simplify]: Extracting #3: cost 36 inf + 0 15.990 * * [simplify]: Extracting #4: cost 113 inf + 164 15.991 * * [simplify]: Extracting #5: cost 137 inf + 711 15.996 * * [simplify]: Extracting #6: cost 71 inf + 16363 16.011 * * [simplify]: Extracting #7: cost 10 inf + 50147 16.031 * * [simplify]: Extracting #8: cost 0 inf + 57814 16.050 * * [simplify]: Extracting #9: cost 0 inf + 57305 16.070 * * [simplify]: Extracting #10: cost 0 inf + 57095 16.090 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) 16.090 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))) 16.090 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 16.090 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) 16.091 * * [simplify]: iters left: 6 (15 enodes) 16.099 * * [simplify]: iters left: 5 (61 enodes) 16.120 * * [simplify]: iters left: 4 (95 enodes) 16.153 * * [simplify]: iters left: 3 (131 enodes) 16.195 * * [simplify]: iters left: 2 (199 enodes) 16.267 * * [simplify]: iters left: 1 (362 enodes) 16.413 * * [simplify]: Extracting #0: cost 1 inf + 0 16.413 * * [simplify]: Extracting #1: cost 4 inf + 0 16.413 * * [simplify]: Extracting #2: cost 10 inf + 0 16.413 * * [simplify]: Extracting #3: cost 41 inf + 0 16.414 * * [simplify]: Extracting #4: cost 124 inf + 325 16.416 * * [simplify]: Extracting #5: cost 146 inf + 2066 16.420 * * [simplify]: Extracting #6: cost 88 inf + 11216 16.428 * * [simplify]: Extracting #7: cost 59 inf + 18921 16.442 * * [simplify]: Extracting #8: cost 20 inf + 50076 16.461 * * [simplify]: Extracting #9: cost 0 inf + 68061 16.480 * * [simplify]: Extracting #10: cost 0 inf + 67850 16.500 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) 16.500 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.500 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.500 * * [simplify]: iters left: 6 (14 enodes) 16.512 * * [simplify]: iters left: 5 (57 enodes) 16.527 * * [simplify]: iters left: 4 (91 enodes) 16.542 * * [simplify]: iters left: 3 (127 enodes) 16.572 * * [simplify]: iters left: 2 (195 enodes) 16.624 * * [simplify]: iters left: 1 (354 enodes) 16.786 * * [simplify]: Extracting #0: cost 1 inf + 0 16.786 * * [simplify]: Extracting #1: cost 4 inf + 0 16.786 * * [simplify]: Extracting #2: cost 9 inf + 0 16.786 * * [simplify]: Extracting #3: cost 36 inf + 0 16.787 * * [simplify]: Extracting #4: cost 113 inf + 204 16.788 * * [simplify]: Extracting #5: cost 137 inf + 791 16.793 * * [simplify]: Extracting #6: cost 71 inf + 16443 16.809 * * [simplify]: Extracting #7: cost 10 inf + 50227 16.828 * * [simplify]: Extracting #8: cost 0 inf + 57894 16.851 * * [simplify]: Extracting #9: cost 0 inf + 57385 16.866 * * [simplify]: Extracting #10: cost 0 inf + 57175 16.876 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))) 16.876 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k))))) 16.877 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 16.877 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 16.877 * * [simplify]: iters left: 6 (14 enodes) 16.881 * * [simplify]: iters left: 5 (57 enodes) 16.891 * * [simplify]: iters left: 4 (91 enodes) 16.906 * * [simplify]: iters left: 3 (127 enodes) 16.938 * * [simplify]: iters left: 2 (195 enodes) 16.994 * * [simplify]: iters left: 1 (354 enodes) 17.180 * * [simplify]: Extracting #0: cost 1 inf + 0 17.181 * * [simplify]: Extracting #1: cost 4 inf + 0 17.181 * * [simplify]: Extracting #2: cost 9 inf + 0 17.181 * * [simplify]: Extracting #3: cost 36 inf + 0 17.182 * * [simplify]: Extracting #4: cost 113 inf + 124 17.183 * * [simplify]: Extracting #5: cost 137 inf + 631 17.188 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.209 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.228 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.247 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.266 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.286 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.286 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.287 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.287 * * [simplify]: iters left: 6 (14 enodes) 17.295 * * [simplify]: iters left: 5 (57 enodes) 17.314 * * [simplify]: iters left: 4 (91 enodes) 17.329 * * [simplify]: iters left: 3 (127 enodes) 17.359 * * [simplify]: iters left: 2 (195 enodes) 17.415 * * [simplify]: iters left: 1 (354 enodes) 17.569 * * [simplify]: Extracting #0: cost 1 inf + 0 17.569 * * [simplify]: Extracting #1: cost 4 inf + 0 17.569 * * [simplify]: Extracting #2: cost 9 inf + 0 17.569 * * [simplify]: Extracting #3: cost 36 inf + 0 17.570 * * [simplify]: Extracting #4: cost 113 inf + 124 17.571 * * [simplify]: Extracting #5: cost 137 inf + 631 17.576 * * [simplify]: Extracting #6: cost 71 inf + 16283 17.592 * * [simplify]: Extracting #7: cost 10 inf + 49987 17.603 * * [simplify]: Extracting #8: cost 0 inf + 57654 17.613 * * [simplify]: Extracting #9: cost 0 inf + 57145 17.623 * * [simplify]: Extracting #10: cost 0 inf + 56935 17.642 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 17.643 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 17.643 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 17.643 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) 17.643 * * [simplify]: iters left: 6 (13 enodes) 17.652 * * [simplify]: iters left: 5 (54 enodes) 17.674 * * [simplify]: iters left: 4 (88 enodes) 17.692 * * [simplify]: iters left: 3 (127 enodes) 17.714 * * [simplify]: iters left: 2 (196 enodes) 17.767 * * [simplify]: iters left: 1 (362 enodes) 17.905 * * [simplify]: Extracting #0: cost 1 inf + 0 17.905 * * [simplify]: Extracting #1: cost 5 inf + 0 17.905 * * [simplify]: Extracting #2: cost 27 inf + 1 17.906 * * [simplify]: Extracting #3: cost 103 inf + 2 17.907 * * [simplify]: Extracting #4: cost 147 inf + 177 17.908 * * [simplify]: Extracting #5: cost 138 inf + 727 17.912 * * [simplify]: Extracting #6: cost 92 inf + 5570 17.918 * * [simplify]: Extracting #7: cost 20 inf + 39855 17.927 * * [simplify]: Extracting #8: cost 0 inf + 56614 17.936 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 17.936 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 17.936 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 17.936 * * [simplify]: iters left: 6 (13 enodes) 17.940 * * [simplify]: iters left: 5 (54 enodes) 17.956 * * [simplify]: iters left: 4 (88 enodes) 17.988 * * [simplify]: iters left: 3 (125 enodes) 18.009 * * [simplify]: iters left: 2 (193 enodes) 18.056 * * [simplify]: iters left: 1 (356 enodes) 18.190 * * [simplify]: Extracting #0: cost 1 inf + 0 18.190 * * [simplify]: Extracting #1: cost 4 inf + 0 18.190 * * [simplify]: Extracting #2: cost 9 inf + 0 18.190 * * [simplify]: Extracting #3: cost 32 inf + 1 18.191 * * [simplify]: Extracting #4: cost 105 inf + 84 18.191 * * [simplify]: Extracting #5: cost 126 inf + 1591 18.194 * * [simplify]: Extracting #6: cost 68 inf + 14727 18.204 * * [simplify]: Extracting #7: cost 10 inf + 40855 18.217 * * [simplify]: Extracting #8: cost 0 inf + 47636 18.241 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 18.241 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 18.241 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 18.242 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.242 * * [simplify]: iters left: 6 (14 enodes) 18.249 * * [simplify]: iters left: 5 (57 enodes) 18.271 * * [simplify]: iters left: 4 (91 enodes) 18.299 * * [simplify]: iters left: 3 (127 enodes) 18.331 * * [simplify]: iters left: 2 (195 enodes) 18.381 * * [simplify]: iters left: 1 (354 enodes) 18.498 * * [simplify]: Extracting #0: cost 1 inf + 0 18.498 * * [simplify]: Extracting #1: cost 4 inf + 0 18.498 * * [simplify]: Extracting #2: cost 9 inf + 0 18.498 * * [simplify]: Extracting #3: cost 36 inf + 0 18.499 * * [simplify]: Extracting #4: cost 113 inf + 124 18.499 * * [simplify]: Extracting #5: cost 137 inf + 631 18.502 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.509 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.519 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.532 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.550 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.559 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.559 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.560 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.560 * * [simplify]: iters left: 6 (14 enodes) 18.564 * * [simplify]: iters left: 5 (57 enodes) 18.574 * * [simplify]: iters left: 4 (91 enodes) 18.589 * * [simplify]: iters left: 3 (127 enodes) 18.611 * * [simplify]: iters left: 2 (195 enodes) 18.657 * * [simplify]: iters left: 1 (354 enodes) 18.795 * * [simplify]: Extracting #0: cost 1 inf + 0 18.795 * * [simplify]: Extracting #1: cost 4 inf + 0 18.795 * * [simplify]: Extracting #2: cost 9 inf + 0 18.796 * * [simplify]: Extracting #3: cost 36 inf + 0 18.796 * * [simplify]: Extracting #4: cost 113 inf + 124 18.797 * * [simplify]: Extracting #5: cost 137 inf + 631 18.803 * * [simplify]: Extracting #6: cost 71 inf + 16283 18.818 * * [simplify]: Extracting #7: cost 10 inf + 49987 18.841 * * [simplify]: Extracting #8: cost 0 inf + 57654 18.860 * * [simplify]: Extracting #9: cost 0 inf + 57145 18.880 * * [simplify]: Extracting #10: cost 0 inf + 56935 18.900 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) 18.900 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))))) 18.900 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 18.901 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) 18.901 * * [simplify]: iters left: 6 (12 enodes) 18.908 * * [simplify]: iters left: 5 (49 enodes) 18.925 * * [simplify]: iters left: 4 (83 enodes) 18.953 * * [simplify]: iters left: 3 (124 enodes) 18.996 * * [simplify]: iters left: 2 (197 enodes) 19.041 * * [simplify]: iters left: 1 (352 enodes) 19.189 * * [simplify]: Extracting #0: cost 1 inf + 0 19.189 * * [simplify]: Extracting #1: cost 5 inf + 0 19.189 * * [simplify]: Extracting #2: cost 27 inf + 1 19.189 * * [simplify]: Extracting #3: cost 107 inf + 2 19.190 * * [simplify]: Extracting #4: cost 136 inf + 177 19.191 * * [simplify]: Extracting #5: cost 130 inf + 641 19.193 * * [simplify]: Extracting #6: cost 70 inf + 10495 19.196 * * [simplify]: Extracting #7: cost 39 inf + 22866 19.204 * * [simplify]: Extracting #8: cost 5 inf + 50330 19.213 * * [simplify]: Extracting #9: cost 0 inf + 54200 19.229 * * [simplify]: Extracting #10: cost 0 inf + 53889 19.248 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) 19.249 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))) 19.249 * [simplify]: Simplifying (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)) 19.249 * * [simplify]: iters left: 6 (13 enodes) 19.257 * * [simplify]: iters left: 5 (54 enodes) 19.275 * * [simplify]: iters left: 4 (88 enodes) 19.303 * * [simplify]: iters left: 3 (125 enodes) 19.330 * * [simplify]: iters left: 2 (193 enodes) 19.371 * * [simplify]: iters left: 1 (356 enodes) 19.523 * * [simplify]: Extracting #0: cost 1 inf + 0 19.523 * * [simplify]: Extracting #1: cost 4 inf + 0 19.524 * * [simplify]: Extracting #2: cost 9 inf + 0 19.524 * * [simplify]: Extracting #3: cost 32 inf + 1 19.524 * * [simplify]: Extracting #4: cost 105 inf + 84 19.525 * * [simplify]: Extracting #5: cost 126 inf + 1591 19.528 * * [simplify]: Extracting #6: cost 68 inf + 14727 19.539 * * [simplify]: Extracting #7: cost 10 inf + 40855 19.561 * * [simplify]: Extracting #8: cost 0 inf + 47636 19.574 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)) 19.574 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k)))) 19.575 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.575 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.575 * * [simplify]: iters left: 6 (6 enodes) 19.577 * * [simplify]: iters left: 5 (22 enodes) 19.580 * * [simplify]: iters left: 4 (26 enodes) 19.584 * * [simplify]: Extracting #0: cost 1 inf + 0 19.584 * * [simplify]: Extracting #1: cost 6 inf + 0 19.584 * * [simplify]: Extracting #2: cost 9 inf + 1 19.584 * * [simplify]: Extracting #3: cost 11 inf + 1 19.585 * * [simplify]: Extracting #4: cost 8 inf + 84 19.585 * * [simplify]: Extracting #5: cost 2 inf + 1013 19.585 * * [simplify]: Extracting #6: cost 0 inf + 1376 19.585 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 19.585 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 19.585 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k))) 19.585 * * [simplify]: iters left: 6 (13 enodes) 19.592 * * [simplify]: iters left: 5 (54 enodes) 19.611 * * [simplify]: iters left: 4 (89 enodes) 19.635 * * [simplify]: iters left: 3 (136 enodes) 19.667 * * [simplify]: iters left: 2 (221 enodes) 19.728 * * [simplify]: iters left: 1 (444 enodes) 19.907 * * [simplify]: Extracting #0: cost 1 inf + 0 19.907 * * [simplify]: Extracting #1: cost 51 inf + 0 19.907 * * [simplify]: Extracting #2: cost 142 inf + 0 19.908 * * [simplify]: Extracting #3: cost 218 inf + 3 19.909 * * [simplify]: Extracting #4: cost 207 inf + 1337 19.913 * * [simplify]: Extracting #5: cost 133 inf + 19274 19.925 * * [simplify]: Extracting #6: cost 32 inf + 94866 19.960 * * [simplify]: Extracting #7: cost 0 inf + 124049 19.991 * * [simplify]: Extracting #8: cost 0 inf + 120814 20.021 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))) 20.022 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 20.022 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 20.022 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 20.022 * * [simplify]: iters left: 6 (6 enodes) 20.024 * * [simplify]: iters left: 5 (21 enodes) 20.028 * * [simplify]: iters left: 4 (23 enodes) 20.033 * * [simplify]: Extracting #0: cost 1 inf + 0 20.033 * * [simplify]: Extracting #1: cost 4 inf + 0 20.033 * * [simplify]: Extracting #2: cost 6 inf + 1 20.033 * * [simplify]: Extracting #3: cost 9 inf + 1 20.033 * * [simplify]: Extracting #4: cost 8 inf + 2 20.033 * * [simplify]: Extracting #5: cost 1 inf + 810 20.033 * * [simplify]: Extracting #6: cost 0 inf + 972 20.033 * [simplify]: Simplified to (/ 1 (fabs (cbrt k))) 20.033 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.034 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.034 * * [simplify]: iters left: 6 (13 enodes) 20.037 * * [simplify]: iters left: 5 (54 enodes) 20.047 * * [simplify]: iters left: 4 (89 enodes) 20.076 * * [simplify]: iters left: 3 (136 enodes) 20.100 * * [simplify]: iters left: 2 (221 enodes) 20.162 * * [simplify]: iters left: 1 (444 enodes) 20.375 * * [simplify]: Extracting #0: cost 1 inf + 0 20.376 * * [simplify]: Extracting #1: cost 51 inf + 0 20.376 * * [simplify]: Extracting #2: cost 142 inf + 0 20.378 * * [simplify]: Extracting #3: cost 218 inf + 3 20.380 * * [simplify]: Extracting #4: cost 207 inf + 1377 20.386 * * [simplify]: Extracting #5: cost 133 inf + 19354 20.410 * * [simplify]: Extracting #6: cost 32 inf + 94946 20.446 * * [simplify]: Extracting #7: cost 0 inf + 124129 20.464 * * [simplify]: Extracting #8: cost 0 inf + 120894 20.493 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))) 20.493 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 20.493 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 20.494 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 20.494 * * [simplify]: iters left: 4 (5 enodes) 20.497 * * [simplify]: iters left: 3 (17 enodes) 20.502 * * [simplify]: iters left: 2 (19 enodes) 20.508 * * [simplify]: Extracting #0: cost 1 inf + 0 20.508 * * [simplify]: Extracting #1: cost 4 inf + 0 20.508 * * [simplify]: Extracting #2: cost 5 inf + 1 20.509 * * [simplify]: Extracting #3: cost 7 inf + 1 20.509 * * [simplify]: Extracting #4: cost 0 inf + 490 20.509 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 20.509 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 20.509 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 20.509 * * [simplify]: iters left: 6 (13 enodes) 20.517 * * [simplify]: iters left: 5 (54 enodes) 20.535 * * [simplify]: iters left: 4 (89 enodes) 20.566 * * [simplify]: iters left: 3 (136 enodes) 20.609 * * [simplify]: iters left: 2 (221 enodes) 20.685 * * [simplify]: iters left: 1 (444 enodes) 20.895 * * [simplify]: Extracting #0: cost 1 inf + 0 20.895 * * [simplify]: Extracting #1: cost 51 inf + 0 20.896 * * [simplify]: Extracting #2: cost 142 inf + 0 20.896 * * [simplify]: Extracting #3: cost 218 inf + 3 20.898 * * [simplify]: Extracting #4: cost 207 inf + 1257 20.901 * * [simplify]: Extracting #5: cost 133 inf + 18954 20.925 * * [simplify]: Extracting #6: cost 32 inf + 92706 20.950 * * [simplify]: Extracting #7: cost 0 inf + 121009 20.970 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.009 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.009 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.010 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 21.010 * [simplify]: Simplifying (/ 1 (sqrt 1)) 21.010 * * [simplify]: iters left: 3 (3 enodes) 21.017 * * [simplify]: iters left: 2 (11 enodes) 21.020 * * [simplify]: iters left: 1 (13 enodes) 21.023 * * [simplify]: Extracting #0: cost 1 inf + 0 21.023 * * [simplify]: Extracting #1: cost 0 inf + 1 21.023 * [simplify]: Simplified to 1 21.024 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.024 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.024 * * [simplify]: iters left: 6 (12 enodes) 21.031 * * [simplify]: iters left: 5 (51 enodes) 21.048 * * [simplify]: iters left: 4 (86 enodes) 21.062 * * [simplify]: iters left: 3 (133 enodes) 21.091 * * [simplify]: iters left: 2 (218 enodes) 21.161 * * [simplify]: iters left: 1 (444 enodes) 21.338 * * [simplify]: Extracting #0: cost 1 inf + 0 21.338 * * [simplify]: Extracting #1: cost 39 inf + 0 21.339 * * [simplify]: Extracting #2: cost 126 inf + 0 21.339 * * [simplify]: Extracting #3: cost 201 inf + 4 21.340 * * [simplify]: Extracting #4: cost 189 inf + 1508 21.343 * * [simplify]: Extracting #5: cost 135 inf + 9951 21.351 * * [simplify]: Extracting #6: cost 51 inf + 62585 21.368 * * [simplify]: Extracting #7: cost 2 inf + 102691 21.384 * * [simplify]: Extracting #8: cost 0 inf + 104433 21.415 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 21.415 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 21.415 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 21.416 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k))) 21.416 * * [simplify]: iters left: 4 (5 enodes) 21.419 * * [simplify]: iters left: 3 (17 enodes) 21.425 * * [simplify]: iters left: 2 (19 enodes) 21.429 * * [simplify]: Extracting #0: cost 1 inf + 0 21.429 * * [simplify]: Extracting #1: cost 4 inf + 0 21.430 * * [simplify]: Extracting #2: cost 5 inf + 1 21.430 * * [simplify]: Extracting #3: cost 7 inf + 1 21.430 * * [simplify]: Extracting #4: cost 0 inf + 490 21.430 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k))) 21.430 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.430 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.430 * * [simplify]: iters left: 6 (13 enodes) 21.434 * * [simplify]: iters left: 5 (54 enodes) 21.444 * * [simplify]: iters left: 4 (89 enodes) 21.461 * * [simplify]: iters left: 3 (136 enodes) 21.504 * * [simplify]: iters left: 2 (221 enodes) 21.568 * * [simplify]: iters left: 1 (444 enodes) 21.745 * * [simplify]: Extracting #0: cost 1 inf + 0 21.745 * * [simplify]: Extracting #1: cost 51 inf + 0 21.746 * * [simplify]: Extracting #2: cost 142 inf + 0 21.748 * * [simplify]: Extracting #3: cost 218 inf + 3 21.750 * * [simplify]: Extracting #4: cost 207 inf + 1257 21.757 * * [simplify]: Extracting #5: cost 133 inf + 18954 21.776 * * [simplify]: Extracting #6: cost 32 inf + 92706 21.797 * * [simplify]: Extracting #7: cost 0 inf + 121009 21.833 * * [simplify]: Extracting #8: cost 0 inf + 117774 21.860 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))) 21.860 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 21.860 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 21.860 * [simplify]: Simplifying (/ 1 1) 21.861 * * [simplify]: iters left: 2 (2 enodes) 21.862 * * [simplify]: iters left: 1 (6 enodes) 21.863 * * [simplify]: Extracting #0: cost 1 inf + 0 21.863 * * [simplify]: Extracting #1: cost 0 inf + 1 21.863 * [simplify]: Simplified to 1 21.863 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) 21.863 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 21.863 * * [simplify]: iters left: 6 (12 enodes) 21.867 * * [simplify]: iters left: 5 (51 enodes) 21.875 * * [simplify]: iters left: 4 (86 enodes) 21.898 * * [simplify]: iters left: 3 (133 enodes) 21.922 * * [simplify]: iters left: 2 (218 enodes) 21.975 * * [simplify]: iters left: 1 (444 enodes) 22.210 * * [simplify]: Extracting #0: cost 1 inf + 0 22.210 * * [simplify]: Extracting #1: cost 39 inf + 0 22.211 * * [simplify]: Extracting #2: cost 126 inf + 0 22.212 * * [simplify]: Extracting #3: cost 201 inf + 4 22.214 * * [simplify]: Extracting #4: cost 189 inf + 1508 22.220 * * [simplify]: Extracting #5: cost 135 inf + 9951 22.228 * * [simplify]: Extracting #6: cost 51 inf + 62585 22.245 * * [simplify]: Extracting #7: cost 2 inf + 102691 22.275 * * [simplify]: Extracting #8: cost 0 inf + 104433 22.309 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) 22.309 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))) 22.309 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 22.310 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.310 * * [simplify]: iters left: 6 (15 enodes) 22.319 * * [simplify]: iters left: 5 (65 enodes) 22.341 * * [simplify]: iters left: 4 (109 enodes) 22.380 * * [simplify]: iters left: 3 (185 enodes) 22.426 * * [simplify]: iters left: 2 (368 enodes) 22.546 * * [simplify]: Extracting #0: cost 1 inf + 0 22.546 * * [simplify]: Extracting #1: cost 54 inf + 0 22.547 * * [simplify]: Extracting #2: cost 144 inf + 0 22.548 * * [simplify]: Extracting #3: cost 223 inf + 2 22.551 * * [simplify]: Extracting #4: cost 217 inf + 1415 22.555 * * [simplify]: Extracting #5: cost 166 inf + 8610 22.568 * * [simplify]: Extracting #6: cost 63 inf + 69583 22.583 * * [simplify]: Extracting #7: cost 0 inf + 121597 22.613 * * [simplify]: Extracting #8: cost 0 inf + 120169 22.640 * * [simplify]: Extracting #9: cost 0 inf + 120168 22.656 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 22.656 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))))) 22.656 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k))) 22.657 * * [simplify]: iters left: 6 (14 enodes) 22.661 * * [simplify]: iters left: 5 (60 enodes) 22.677 * * [simplify]: iters left: 4 (98 enodes) 22.712 * * [simplify]: iters left: 3 (157 enodes) 22.755 * * [simplify]: iters left: 2 (290 enodes) 22.815 * * [simplify]: Extracting #0: cost 1 inf + 0 22.815 * * [simplify]: Extracting #1: cost 30 inf + 0 22.816 * * [simplify]: Extracting #2: cost 72 inf + 0 22.816 * * [simplify]: Extracting #3: cost 138 inf + 2 22.817 * * [simplify]: Extracting #4: cost 142 inf + 932 22.819 * * [simplify]: Extracting #5: cost 72 inf + 18422 22.827 * * [simplify]: Extracting #6: cost 10 inf + 45090 22.836 * * [simplify]: Extracting #7: cost 0 inf + 51502 22.845 * * [simplify]: Extracting #8: cost 0 inf + 51262 22.853 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))) 22.854 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))) 22.854 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 22.854 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) 22.854 * * [simplify]: iters left: 6 (15 enodes) 22.862 * * [simplify]: iters left: 5 (64 enodes) 22.888 * * [simplify]: iters left: 4 (102 enodes) 22.920 * * [simplify]: iters left: 3 (161 enodes) 22.957 * * [simplify]: iters left: 2 (288 enodes) 23.050 * * [simplify]: Extracting #0: cost 1 inf + 0 23.050 * * [simplify]: Extracting #1: cost 30 inf + 0 23.050 * * [simplify]: Extracting #2: cost 73 inf + 0 23.051 * * [simplify]: Extracting #3: cost 138 inf + 2 23.052 * * [simplify]: Extracting #4: cost 144 inf + 347 23.055 * * [simplify]: Extracting #5: cost 101 inf + 5180 23.062 * * [simplify]: Extracting #6: cost 44 inf + 26188 23.072 * * [simplify]: Extracting #7: cost 7 inf + 54487 23.080 * * [simplify]: Extracting #8: cost 0 inf + 59312 23.088 * * [simplify]: Extracting #9: cost 0 inf + 58534 23.101 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) 23.101 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 4)) (fabs (cbrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))))) 23.102 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k))) 23.102 * * [simplify]: iters left: 6 (14 enodes) 23.110 * * [simplify]: iters left: 5 (60 enodes) 23.134 * * [simplify]: iters left: 4 (98 enodes) 23.167 * * [simplify]: iters left: 3 (157 enodes) 23.218 * * [simplify]: iters left: 2 (290 enodes) 23.312 * * [simplify]: Extracting #0: cost 1 inf + 0 23.312 * * [simplify]: Extracting #1: cost 30 inf + 0 23.313 * * [simplify]: Extracting #2: cost 72 inf + 0 23.313 * * [simplify]: Extracting #3: cost 138 inf + 2 23.315 * * [simplify]: Extracting #4: cost 142 inf + 932 23.320 * * [simplify]: Extracting #5: cost 72 inf + 18502 23.334 * * [simplify]: Extracting #6: cost 10 inf + 45170 23.352 * * [simplify]: Extracting #7: cost 0 inf + 51582 23.370 * * [simplify]: Extracting #8: cost 0 inf + 51342 23.384 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))) 23.384 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k))))) 23.384 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 23.385 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.385 * * [simplify]: iters left: 6 (14 enodes) 23.392 * * [simplify]: iters left: 5 (60 enodes) 23.403 * * [simplify]: iters left: 4 (98 enodes) 23.421 * * [simplify]: iters left: 3 (157 enodes) 23.464 * * [simplify]: iters left: 2 (290 enodes) 23.542 * * [simplify]: Extracting #0: cost 1 inf + 0 23.542 * * [simplify]: Extracting #1: cost 30 inf + 0 23.542 * * [simplify]: Extracting #2: cost 72 inf + 0 23.542 * * [simplify]: Extracting #3: cost 138 inf + 2 23.543 * * [simplify]: Extracting #4: cost 142 inf + 932 23.546 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.553 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.562 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.575 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.597 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.597 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 23.597 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 23.597 * * [simplify]: iters left: 6 (14 enodes) 23.604 * * [simplify]: iters left: 5 (60 enodes) 23.615 * * [simplify]: iters left: 4 (98 enodes) 23.632 * * [simplify]: iters left: 3 (157 enodes) 23.679 * * [simplify]: iters left: 2 (290 enodes) 23.770 * * [simplify]: Extracting #0: cost 1 inf + 0 23.770 * * [simplify]: Extracting #1: cost 30 inf + 0 23.770 * * [simplify]: Extracting #2: cost 72 inf + 0 23.771 * * [simplify]: Extracting #3: cost 138 inf + 2 23.772 * * [simplify]: Extracting #4: cost 142 inf + 932 23.778 * * [simplify]: Extracting #5: cost 72 inf + 18102 23.792 * * [simplify]: Extracting #6: cost 10 inf + 44010 23.805 * * [simplify]: Extracting #7: cost 0 inf + 50022 23.814 * * [simplify]: Extracting #8: cost 0 inf + 49782 23.826 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 23.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 23.826 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 23.826 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) 23.826 * * [simplify]: iters left: 6 (13 enodes) 23.831 * * [simplify]: iters left: 5 (57 enodes) 23.843 * * [simplify]: iters left: 4 (93 enodes) 23.867 * * [simplify]: iters left: 3 (148 enodes) 23.902 * * [simplify]: iters left: 2 (271 enodes) 24.008 * * [simplify]: iters left: 1 (495 enodes) 24.274 * * [simplify]: Extracting #0: cost 1 inf + 0 24.274 * * [simplify]: Extracting #1: cost 55 inf + 0 24.275 * * [simplify]: Extracting #2: cost 164 inf + 2 24.277 * * [simplify]: Extracting #3: cost 237 inf + 220 24.279 * * [simplify]: Extracting #4: cost 230 inf + 978 24.286 * * [simplify]: Extracting #5: cost 141 inf + 13550 24.297 * * [simplify]: Extracting #6: cost 75 inf + 38571 24.310 * * [simplify]: Extracting #7: cost 10 inf + 93049 24.327 * * [simplify]: Extracting #8: cost 0 inf + 100862 24.352 * * [simplify]: Extracting #9: cost 0 inf + 100439 24.381 * [simplify]: Simplified to (pow (* (* PI 2) n) (/ (- 1 k) 4)) 24.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ (- 1 k) 4)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 24.382 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 24.382 * * [simplify]: iters left: 6 (13 enodes) 24.388 * * [simplify]: iters left: 5 (57 enodes) 24.399 * * [simplify]: iters left: 4 (95 enodes) 24.418 * * [simplify]: iters left: 3 (154 enodes) 24.469 * * [simplify]: iters left: 2 (287 enodes) 24.558 * * [simplify]: Extracting #0: cost 1 inf + 0 24.559 * * [simplify]: Extracting #1: cost 30 inf + 0 24.559 * * [simplify]: Extracting #2: cost 73 inf + 0 24.560 * * [simplify]: Extracting #3: cost 136 inf + 3 24.561 * * [simplify]: Extracting #4: cost 132 inf + 1178 24.565 * * [simplify]: Extracting #5: cost 90 inf + 6800 24.574 * * [simplify]: Extracting #6: cost 20 inf + 38881 24.589 * * [simplify]: Extracting #7: cost 0 inf + 54585 24.609 * * [simplify]: Extracting #8: cost 0 inf + 54374 24.624 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 24.625 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 24.625 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 24.625 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.625 * * [simplify]: iters left: 6 (14 enodes) 24.634 * * [simplify]: iters left: 5 (60 enodes) 24.645 * * [simplify]: iters left: 4 (98 enodes) 24.661 * * [simplify]: iters left: 3 (157 enodes) 24.718 * * [simplify]: iters left: 2 (290 enodes) 24.835 * * [simplify]: Extracting #0: cost 1 inf + 0 24.836 * * [simplify]: Extracting #1: cost 30 inf + 0 24.836 * * [simplify]: Extracting #2: cost 72 inf + 0 24.837 * * [simplify]: Extracting #3: cost 138 inf + 2 24.838 * * [simplify]: Extracting #4: cost 142 inf + 932 24.843 * * [simplify]: Extracting #5: cost 72 inf + 18102 24.858 * * [simplify]: Extracting #6: cost 10 inf + 44010 24.880 * * [simplify]: Extracting #7: cost 0 inf + 50022 24.897 * * [simplify]: Extracting #8: cost 0 inf + 49782 24.915 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 24.915 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))))) 24.915 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) 24.916 * * [simplify]: iters left: 6 (14 enodes) 24.925 * * [simplify]: iters left: 5 (60 enodes) 24.946 * * [simplify]: iters left: 4 (98 enodes) 24.965 * * [simplify]: iters left: 3 (157 enodes) 25.009 * * [simplify]: iters left: 2 (290 enodes) 25.108 * * [simplify]: Extracting #0: cost 1 inf + 0 25.108 * * [simplify]: Extracting #1: cost 30 inf + 0 25.108 * * [simplify]: Extracting #2: cost 72 inf + 0 25.109 * * [simplify]: Extracting #3: cost 138 inf + 2 25.109 * * [simplify]: Extracting #4: cost 142 inf + 932 25.112 * * [simplify]: Extracting #5: cost 72 inf + 18102 25.124 * * [simplify]: Extracting #6: cost 10 inf + 44010 25.146 * * [simplify]: Extracting #7: cost 0 inf + 50022 25.163 * * [simplify]: Extracting #8: cost 0 inf + 49782 25.173 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))) 25.173 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k))))) 25.173 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 25.173 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) 25.174 * * [simplify]: iters left: 6 (12 enodes) 25.178 * * [simplify]: iters left: 5 (52 enodes) 25.187 * * [simplify]: iters left: 4 (90 enodes) 25.207 * * [simplify]: iters left: 3 (151 enodes) 25.243 * * [simplify]: iters left: 2 (287 enodes) 25.311 * * [simplify]: Extracting #0: cost 1 inf + 0 25.311 * * [simplify]: Extracting #1: cost 31 inf + 0 25.311 * * [simplify]: Extracting #2: cost 99 inf + 2 25.312 * * [simplify]: Extracting #3: cost 141 inf + 219 25.313 * * [simplify]: Extracting #4: cost 141 inf + 641 25.314 * * [simplify]: Extracting #5: cost 86 inf + 6314 25.322 * * [simplify]: Extracting #6: cost 34 inf + 26657 25.338 * * [simplify]: Extracting #7: cost 3 inf + 48037 25.353 * * [simplify]: Extracting #8: cost 0 inf + 50067 25.367 * [simplify]: Simplified to (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 25.367 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)))) 25.368 * [simplify]: Simplifying (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k)) 25.368 * * [simplify]: iters left: 6 (13 enodes) 25.375 * * [simplify]: iters left: 5 (57 enodes) 25.392 * * [simplify]: iters left: 4 (95 enodes) 25.409 * * [simplify]: iters left: 3 (154 enodes) 25.464 * * [simplify]: iters left: 2 (287 enodes) 25.533 * * [simplify]: Extracting #0: cost 1 inf + 0 25.533 * * [simplify]: Extracting #1: cost 30 inf + 0 25.534 * * [simplify]: Extracting #2: cost 73 inf + 0 25.534 * * [simplify]: Extracting #3: cost 136 inf + 3 25.535 * * [simplify]: Extracting #4: cost 132 inf + 1178 25.536 * * [simplify]: Extracting #5: cost 90 inf + 6800 25.541 * * [simplify]: Extracting #6: cost 20 inf + 38881 25.558 * * [simplify]: Extracting #7: cost 0 inf + 54585 25.566 * * [simplify]: Extracting #8: cost 0 inf + 54374 25.573 * [simplify]: Simplified to (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)) 25.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (sqrt k)))) 25.573 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 25.574 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 25.574 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 25.574 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 25.574 * [simplify]: Simplifying (cbrt (sqrt k)) 25.574 * * [simplify]: iters left: 2 (3 enodes) 25.575 * * [simplify]: iters left: 1 (9 enodes) 25.576 * * [simplify]: Extracting #0: cost 1 inf + 0 25.576 * * [simplify]: Extracting #1: cost 3 inf + 0 25.576 * * [simplify]: Extracting #2: cost 5 inf + 0 25.576 * * [simplify]: Extracting #3: cost 4 inf + 1 25.576 * * [simplify]: Extracting #4: cost 0 inf + 325 25.576 * [simplify]: Simplified to (cbrt (sqrt k)) 25.576 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 25.576 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 25.576 * [simplify]: Simplifying (sqrt (cbrt k)) 25.576 * * [simplify]: iters left: 2 (3 enodes) 25.577 * * [simplify]: iters left: 1 (9 enodes) 25.578 * * [simplify]: Extracting #0: cost 1 inf + 0 25.578 * * [simplify]: Extracting #1: cost 3 inf + 0 25.578 * * [simplify]: Extracting #2: cost 5 inf + 0 25.578 * * [simplify]: Extracting #3: cost 4 inf + 1 25.578 * * [simplify]: Extracting #4: cost 0 inf + 405 25.578 * [simplify]: Simplified to (sqrt (cbrt k)) 25.578 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 25.578 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 25.579 * [simplify]: Simplifying (sqrt (sqrt k)) 25.579 * * [simplify]: iters left: 2 (3 enodes) 25.579 * * [simplify]: iters left: 1 (9 enodes) 25.580 * * [simplify]: Extracting #0: cost 1 inf + 0 25.580 * * [simplify]: Extracting #1: cost 3 inf + 0 25.580 * * [simplify]: Extracting #2: cost 5 inf + 0 25.580 * * [simplify]: Extracting #3: cost 4 inf + 1 25.581 * * [simplify]: Extracting #4: cost 0 inf + 245 25.581 * [simplify]: Simplified to (sqrt (sqrt k)) 25.581 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.581 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 25.581 * [simplify]: Simplifying (sqrt k) 25.581 * * [simplify]: iters left: 1 (2 enodes) 25.581 * * [simplify]: Extracting #0: cost 1 inf + 0 25.581 * * [simplify]: Extracting #1: cost 3 inf + 0 25.581 * * [simplify]: Extracting #2: cost 2 inf + 1 25.581 * * [simplify]: Extracting #3: cost 0 inf + 83 25.581 * [simplify]: Simplified to (sqrt k) 25.581 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k))) 25.582 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 25.582 * [simplify]: Simplifying (sqrt (sqrt k)) 25.582 * * [simplify]: iters left: 2 (3 enodes) 25.582 * * [simplify]: iters left: 1 (9 enodes) 25.583 * * [simplify]: Extracting #0: cost 1 inf + 0 25.583 * * [simplify]: Extracting #1: cost 3 inf + 0 25.584 * * [simplify]: Extracting #2: cost 5 inf + 0 25.584 * * [simplify]: Extracting #3: cost 4 inf + 1 25.584 * * [simplify]: Extracting #4: cost 0 inf + 245 25.584 * [simplify]: Simplified to (sqrt (sqrt k)) 25.584 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 25.584 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 25.584 * [simplify]: Simplifying (sqrt k) 25.584 * * [simplify]: iters left: 1 (2 enodes) 25.584 * * [simplify]: Extracting #0: cost 1 inf + 0 25.584 * * [simplify]: Extracting #1: cost 3 inf + 0 25.584 * * [simplify]: Extracting #2: cost 2 inf + 1 25.584 * * [simplify]: Extracting #3: cost 0 inf + 83 25.585 * [simplify]: Simplified to (sqrt k) 25.585 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k))) 25.585 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 25.585 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 25.585 * * [simplify]: iters left: 5 (7 enodes) 25.588 * * [simplify]: iters left: 4 (32 enodes) 25.601 * * [simplify]: iters left: 3 (57 enodes) 25.620 * * [simplify]: iters left: 2 (88 enodes) 25.651 * * [simplify]: iters left: 1 (156 enodes) 25.698 * * [simplify]: Extracting #0: cost 1 inf + 0 25.699 * * [simplify]: Extracting #1: cost 13 inf + 0 25.699 * * [simplify]: Extracting #2: cost 49 inf + 2 25.699 * * [simplify]: Extracting #3: cost 80 inf + 6 25.700 * * [simplify]: Extracting #4: cost 58 inf + 1840 25.701 * * [simplify]: Extracting #5: cost 22 inf + 9206 25.704 * * [simplify]: Extracting #6: cost 1 inf + 20886 25.708 * * [simplify]: Extracting #7: cost 0 inf + 21301 25.715 * * [simplify]: Extracting #8: cost 0 inf + 21130 25.721 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 25.721 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 25.721 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 25.722 * [simplify]: Simplifying (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 25.722 * * [simplify]: iters left: 6 (12 enodes) 25.728 * * [simplify]: iters left: 5 (51 enodes) 25.746 * * [simplify]: iters left: 4 (84 enodes) 25.773 * * [simplify]: iters left: 3 (125 enodes) 25.817 * * [simplify]: iters left: 2 (198 enodes) 25.889 * * [simplify]: iters left: 1 (353 enodes) 26.032 * * [simplify]: Extracting #0: cost 1 inf + 0 26.032 * * [simplify]: Extracting #1: cost 3 inf + 0 26.032 * * [simplify]: Extracting #2: cost 5 inf + 0 26.032 * * [simplify]: Extracting #3: cost 28 inf + 0 26.032 * * [simplify]: Extracting #4: cost 101 inf + 1 26.033 * * [simplify]: Extracting #5: cost 136 inf + 176 26.033 * * [simplify]: Extracting #6: cost 127 inf + 1730 26.037 * * [simplify]: Extracting #7: cost 68 inf + 14428 26.044 * * [simplify]: Extracting #8: cost 24 inf + 38979 26.055 * * [simplify]: Extracting #9: cost 0 inf + 59741 26.065 * * [simplify]: Extracting #10: cost 0 inf + 57850 26.082 * * [simplify]: Extracting #11: cost 0 inf + 57436 26.103 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) 26.103 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.104 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 26.104 * [simplify]: Simplifying (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 26.104 * * [simplify]: iters left: 6 (11 enodes) 26.109 * * [simplify]: iters left: 5 (48 enodes) 26.126 * * [simplify]: iters left: 4 (78 enodes) 26.155 * * [simplify]: iters left: 3 (120 enodes) 26.196 * * [simplify]: iters left: 2 (211 enodes) 26.271 * * [simplify]: iters left: 1 (378 enodes) 26.406 * * [simplify]: Extracting #0: cost 1 inf + 0 26.406 * * [simplify]: Extracting #1: cost 4 inf + 0 26.406 * * [simplify]: Extracting #2: cost 28 inf + 0 26.406 * * [simplify]: Extracting #3: cost 111 inf + 1 26.407 * * [simplify]: Extracting #4: cost 151 inf + 220 26.408 * * [simplify]: Extracting #5: cost 149 inf + 601 26.409 * * [simplify]: Extracting #6: cost 109 inf + 5630 26.416 * * [simplify]: Extracting #7: cost 43 inf + 25793 26.432 * * [simplify]: Extracting #8: cost 5 inf + 52343 26.454 * * [simplify]: Extracting #9: cost 0 inf + 56629 26.474 * * [simplify]: Extracting #10: cost 0 inf + 55972 26.499 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 26.500 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))) 26.500 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 26.500 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 26.500 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 26.500 * * [simplify]: iters left: 6 (11 enodes) 26.507 * * [simplify]: iters left: 5 (51 enodes) 26.525 * * [simplify]: iters left: 4 (87 enodes) 26.553 * * [simplify]: iters left: 3 (143 enodes) 26.582 * * [simplify]: iters left: 2 (259 enodes) 26.684 * * [simplify]: iters left: 1 (467 enodes) 26.898 * * [simplify]: Extracting #0: cost 1 inf + 0 26.898 * * [simplify]: Extracting #1: cost 23 inf + 0 26.899 * * [simplify]: Extracting #2: cost 99 inf + 1 26.900 * * [simplify]: Extracting #3: cost 180 inf + 178 26.902 * * [simplify]: Extracting #4: cost 162 inf + 2505 26.909 * * [simplify]: Extracting #5: cost 78 inf + 12096 26.920 * * [simplify]: Extracting #6: cost 33 inf + 29460 26.939 * * [simplify]: Extracting #7: cost 1 inf + 56926 26.963 * * [simplify]: Extracting #8: cost 0 inf + 57804 26.982 * [simplify]: Simplified to (pow (* (* PI 2) n) (* 1/4 (- 1 k))) 26.982 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* PI 2) n) (* 1/4 (- 1 k))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))) 26.982 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 26.982 * [simplify]: Simplifying (pow (* n (* 2 PI)) (/ 1 2)) 26.982 * * [simplify]: iters left: 5 (8 enodes) 26.989 * * [simplify]: iters left: 4 (35 enodes) 27.003 * * [simplify]: iters left: 3 (63 enodes) 27.027 * * [simplify]: iters left: 2 (108 enodes) 27.060 * * [simplify]: iters left: 1 (162 enodes) 27.115 * * [simplify]: Extracting #0: cost 1 inf + 0 27.115 * * [simplify]: Extracting #1: cost 12 inf + 0 27.115 * * [simplify]: Extracting #2: cost 40 inf + 2 27.116 * * [simplify]: Extracting #3: cost 40 inf + 9 27.117 * * [simplify]: Extracting #4: cost 25 inf + 2233 27.118 * * [simplify]: Extracting #5: cost 10 inf + 8991 27.121 * * [simplify]: Extracting #6: cost 0 inf + 14572 27.125 * [simplify]: Simplified to (sqrt (* (* PI 2) n)) 27.125 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* PI 2) n)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2))))) 27.125 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))> 27.125 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 27.125 * [simplify]: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 27.126 * * [simplify]: iters left: 6 (37 enodes) 27.147 * * [simplify]: iters left: 5 (187 enodes) 27.223 * * [simplify]: iters left: 4 (488 enodes) 27.479 * * [simplify]: Extracting #0: cost 1 inf + 0 27.479 * * [simplify]: Extracting #1: cost 57 inf + 0 27.481 * * [simplify]: Extracting #2: cost 294 inf + 0 27.484 * * [simplify]: Extracting #3: cost 524 inf + 199 27.490 * * [simplify]: Extracting #4: cost 512 inf + 6095 27.504 * * [simplify]: Extracting #5: cost 310 inf + 78036 27.566 * * [simplify]: Extracting #6: cost 40 inf + 220622 27.651 * * [simplify]: Extracting #7: cost 0 inf + 244981 27.726 * * [simplify]: Extracting #8: cost 0 inf + 243455 27.829 * * [simplify]: Extracting #9: cost 0 inf + 243454 27.924 * [simplify]: Simplified to (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) 27.925 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k k) 1/8) (+ (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (log (* PI 2))) (* (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))) (+ (exp (* (+ (log n) (log (* PI 2))) 1/2)) (- (* (* (log (* PI 2)) (exp (* (+ (log n) (log (* PI 2))) 1/2))) (* (* k k) (* (log n) 1/4))) (* (* 1/2 k) (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))))))) (sqrt k))) 27.925 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 27.925 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 27.925 * * [simplify]: iters left: 6 (15 enodes) 27.931 * * [simplify]: iters left: 5 (65 enodes) 27.943 * * [simplify]: iters left: 4 (123 enodes) 27.990 * * [simplify]: iters left: 3 (361 enodes) 28.168 * * [simplify]: Extracting #0: cost 1 inf + 0 28.168 * * [simplify]: Extracting #1: cost 37 inf + 0 28.169 * * [simplify]: Extracting #2: cost 213 inf + 72 28.172 * * [simplify]: Extracting #3: cost 350 inf + 1716 28.180 * * [simplify]: Extracting #4: cost 221 inf + 30028 28.204 * * [simplify]: Extracting #5: cost 33 inf + 78046 28.239 * * [simplify]: Extracting #6: cost 1 inf + 88785 28.270 * * [simplify]: Extracting #7: cost 0 inf + 88926 28.301 * * [simplify]: Extracting #8: cost 0 inf + 88841 28.332 * [simplify]: Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) 28.332 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k)))) (sqrt k))) 28.332 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 28.332 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 28.332 * * [simplify]: iters left: 6 (16 enodes) 28.342 * * [simplify]: iters left: 5 (67 enodes) 28.367 * * [simplify]: iters left: 4 (134 enodes) 28.409 * * [simplify]: iters left: 3 (407 enodes) 28.642 * * [simplify]: Extracting #0: cost 1 inf + 0 28.643 * * [simplify]: Extracting #1: cost 39 inf + 0 28.644 * * [simplify]: Extracting #2: cost 241 inf + 72 28.647 * * [simplify]: Extracting #3: cost 449 inf + 888 28.658 * * [simplify]: Extracting #4: cost 283 inf + 39678 28.686 * * [simplify]: Extracting #5: cost 24 inf + 116942 28.713 * * [simplify]: Extracting #6: cost 0 inf + 121984 28.747 * * [simplify]: Extracting #7: cost 0 inf + 121983 28.768 * [simplify]: Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) 28.768 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n))))))) (sqrt k))) 28.769 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 28.769 * [simplify]: Simplifying (* 2 (* n PI)) 28.769 * * [simplify]: iters left: 4 (5 enodes) 28.771 * * [simplify]: iters left: 3 (19 enodes) 28.774 * * [simplify]: iters left: 2 (27 enodes) 28.782 * * [simplify]: iters left: 1 (32 enodes) 28.790 * * [simplify]: Extracting #0: cost 1 inf + 0 28.790 * * [simplify]: Extracting #1: cost 8 inf + 0 28.791 * * [simplify]: Extracting #2: cost 7 inf + 45 28.791 * * [simplify]: Extracting #3: cost 0 inf + 421 28.791 * [simplify]: Simplified to (* (* PI n) 2) 28.791 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.791 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 28.791 * [simplify]: Simplifying (* 2 (* n PI)) 28.792 * * [simplify]: iters left: 4 (5 enodes) 28.794 * * [simplify]: iters left: 3 (19 enodes) 28.801 * * [simplify]: iters left: 2 (27 enodes) 28.809 * * [simplify]: iters left: 1 (32 enodes) 28.819 * * [simplify]: Extracting #0: cost 1 inf + 0 28.819 * * [simplify]: Extracting #1: cost 8 inf + 0 28.819 * * [simplify]: Extracting #2: cost 7 inf + 45 28.819 * * [simplify]: Extracting #3: cost 0 inf + 421 28.820 * [simplify]: Simplified to (* (* PI n) 2) 28.820 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.820 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 28.820 * [simplify]: Simplifying (* 2 (* n PI)) 28.820 * * [simplify]: iters left: 4 (5 enodes) 28.823 * * [simplify]: iters left: 3 (19 enodes) 28.829 * * [simplify]: iters left: 2 (27 enodes) 28.837 * * [simplify]: iters left: 1 (32 enodes) 28.845 * * [simplify]: Extracting #0: cost 1 inf + 0 28.845 * * [simplify]: Extracting #1: cost 8 inf + 0 28.845 * * [simplify]: Extracting #2: cost 7 inf + 45 28.845 * * [simplify]: Extracting #3: cost 0 inf + 421 28.845 * [simplify]: Simplified to (* (* PI n) 2) 28.845 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k))) 28.845 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 28.846 * [simplify]: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 28.846 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.847 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 28.847 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 28.847 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.847 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 28.848 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 28.848 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 28.848 * * * [progress]: adding candidates to table 30.324 * * [progress]: iteration 2 / 4 30.324 * * * [progress]: picking best candidate 30.355 * * * * [pick]: Picked # 30.355 * * * [progress]: localizing error 30.383 * * * [progress]: generating rewritten candidates 30.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 30.388 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 30.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 30.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 30.468 * * * [progress]: generating series expansions 30.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 30.469 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 30.469 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 30.469 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 30.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 30.469 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 30.469 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.469 * [taylor]: Taking taylor expansion of 1/2 in k 30.469 * [backup-simplify]: Simplify 1/2 into 1/2 30.469 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.469 * [taylor]: Taking taylor expansion of 1 in k 30.469 * [backup-simplify]: Simplify 1 into 1 30.469 * [taylor]: Taking taylor expansion of k in k 30.469 * [backup-simplify]: Simplify 0 into 0 30.469 * [backup-simplify]: Simplify 1 into 1 30.469 * [taylor]: Taking taylor expansion of (log n) in k 30.469 * [taylor]: Taking taylor expansion of n in k 30.469 * [backup-simplify]: Simplify n into n 30.469 * [backup-simplify]: Simplify (log n) into (log n) 30.470 * [backup-simplify]: Simplify (- 0) into 0 30.470 * [backup-simplify]: Simplify (+ 1 0) into 1 30.471 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.471 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.471 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.471 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.471 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.471 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.471 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.471 * [taylor]: Taking taylor expansion of 1/2 in n 30.471 * [backup-simplify]: Simplify 1/2 into 1/2 30.471 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.471 * [taylor]: Taking taylor expansion of 1 in n 30.472 * [backup-simplify]: Simplify 1 into 1 30.472 * [taylor]: Taking taylor expansion of k in n 30.472 * [backup-simplify]: Simplify k into k 30.472 * [taylor]: Taking taylor expansion of (log n) in n 30.472 * [taylor]: Taking taylor expansion of n in n 30.472 * [backup-simplify]: Simplify 0 into 0 30.472 * [backup-simplify]: Simplify 1 into 1 30.472 * [backup-simplify]: Simplify (log 1) into 0 30.472 * [backup-simplify]: Simplify (- k) into (- k) 30.472 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.472 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.473 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.473 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.473 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.473 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.473 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.473 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.473 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.473 * [taylor]: Taking taylor expansion of 1/2 in n 30.473 * [backup-simplify]: Simplify 1/2 into 1/2 30.473 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.473 * [taylor]: Taking taylor expansion of 1 in n 30.474 * [backup-simplify]: Simplify 1 into 1 30.474 * [taylor]: Taking taylor expansion of k in n 30.474 * [backup-simplify]: Simplify k into k 30.474 * [taylor]: Taking taylor expansion of (log n) in n 30.474 * [taylor]: Taking taylor expansion of n in n 30.474 * [backup-simplify]: Simplify 0 into 0 30.474 * [backup-simplify]: Simplify 1 into 1 30.474 * [backup-simplify]: Simplify (log 1) into 0 30.474 * [backup-simplify]: Simplify (- k) into (- k) 30.474 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.474 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.475 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.475 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.475 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.475 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 30.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 30.475 * [taylor]: Taking taylor expansion of 1/2 in k 30.476 * [backup-simplify]: Simplify 1/2 into 1/2 30.476 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 30.476 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.476 * [taylor]: Taking taylor expansion of 1 in k 30.476 * [backup-simplify]: Simplify 1 into 1 30.476 * [taylor]: Taking taylor expansion of k in k 30.476 * [backup-simplify]: Simplify 0 into 0 30.476 * [backup-simplify]: Simplify 1 into 1 30.476 * [taylor]: Taking taylor expansion of (log n) in k 30.476 * [taylor]: Taking taylor expansion of n in k 30.476 * [backup-simplify]: Simplify n into n 30.476 * [backup-simplify]: Simplify (log n) into (log n) 30.476 * [backup-simplify]: Simplify (- 0) into 0 30.477 * [backup-simplify]: Simplify (+ 1 0) into 1 30.477 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 30.477 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.477 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.477 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 30.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.479 * [backup-simplify]: Simplify (- 0) into 0 30.480 * [backup-simplify]: Simplify (+ 0 0) into 0 30.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.481 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.481 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 30.482 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.482 * [taylor]: Taking taylor expansion of 0 in k 30.482 * [backup-simplify]: Simplify 0 into 0 30.482 * [backup-simplify]: Simplify 0 into 0 30.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.483 * [backup-simplify]: Simplify (- 1) into -1 30.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.484 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 30.484 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 30.484 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 30.484 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 30.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.488 * [backup-simplify]: Simplify (- 0) into 0 30.488 * [backup-simplify]: Simplify (+ 0 0) into 0 30.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.490 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.491 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 30.492 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.492 * [taylor]: Taking taylor expansion of 0 in k 30.492 * [backup-simplify]: Simplify 0 into 0 30.492 * [backup-simplify]: Simplify 0 into 0 30.492 * [backup-simplify]: Simplify 0 into 0 30.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.495 * [backup-simplify]: Simplify (- 0) into 0 30.495 * [backup-simplify]: Simplify (+ 0 0) into 0 30.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 30.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 30.498 * [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))) 30.498 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 30.498 * [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)))) 30.499 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 30.499 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 30.499 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 30.499 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 30.499 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 30.499 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.499 * [taylor]: Taking taylor expansion of 1/2 in k 30.499 * [backup-simplify]: Simplify 1/2 into 1/2 30.499 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.499 * [taylor]: Taking taylor expansion of 1 in k 30.499 * [backup-simplify]: Simplify 1 into 1 30.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.499 * [taylor]: Taking taylor expansion of k in k 30.499 * [backup-simplify]: Simplify 0 into 0 30.499 * [backup-simplify]: Simplify 1 into 1 30.499 * [backup-simplify]: Simplify (/ 1 1) into 1 30.499 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 30.500 * [taylor]: Taking taylor expansion of (/ 1 n) in k 30.500 * [taylor]: Taking taylor expansion of n in k 30.500 * [backup-simplify]: Simplify n into n 30.500 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 30.500 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 30.500 * [backup-simplify]: Simplify (- 1) into -1 30.501 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.501 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.501 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 30.501 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 30.501 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.501 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.501 * [taylor]: Taking taylor expansion of 1/2 in n 30.501 * [backup-simplify]: Simplify 1/2 into 1/2 30.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.502 * [taylor]: Taking taylor expansion of 1 in n 30.502 * [backup-simplify]: Simplify 1 into 1 30.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.502 * [taylor]: Taking taylor expansion of k in n 30.502 * [backup-simplify]: Simplify k into k 30.502 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.502 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.502 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.502 * [taylor]: Taking taylor expansion of n in n 30.502 * [backup-simplify]: Simplify 0 into 0 30.502 * [backup-simplify]: Simplify 1 into 1 30.502 * [backup-simplify]: Simplify (/ 1 1) into 1 30.503 * [backup-simplify]: Simplify (log 1) into 0 30.503 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.503 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.503 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.503 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.504 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.504 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.504 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.504 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.504 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.504 * [taylor]: Taking taylor expansion of 1/2 in n 30.504 * [backup-simplify]: Simplify 1/2 into 1/2 30.504 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.504 * [taylor]: Taking taylor expansion of 1 in n 30.504 * [backup-simplify]: Simplify 1 into 1 30.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.504 * [taylor]: Taking taylor expansion of k in n 30.504 * [backup-simplify]: Simplify k into k 30.504 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.504 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.504 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.504 * [taylor]: Taking taylor expansion of n in n 30.504 * [backup-simplify]: Simplify 0 into 0 30.504 * [backup-simplify]: Simplify 1 into 1 30.505 * [backup-simplify]: Simplify (/ 1 1) into 1 30.505 * [backup-simplify]: Simplify (log 1) into 0 30.505 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.505 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.505 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.506 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.506 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.506 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 30.506 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 30.506 * [taylor]: Taking taylor expansion of -1/2 in k 30.506 * [backup-simplify]: Simplify -1/2 into -1/2 30.506 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 30.506 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.506 * [taylor]: Taking taylor expansion of 1 in k 30.506 * [backup-simplify]: Simplify 1 into 1 30.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.506 * [taylor]: Taking taylor expansion of k in k 30.506 * [backup-simplify]: Simplify 0 into 0 30.506 * [backup-simplify]: Simplify 1 into 1 30.507 * [backup-simplify]: Simplify (/ 1 1) into 1 30.507 * [taylor]: Taking taylor expansion of (log n) in k 30.507 * [taylor]: Taking taylor expansion of n in k 30.507 * [backup-simplify]: Simplify n into n 30.507 * [backup-simplify]: Simplify (log n) into (log n) 30.507 * [backup-simplify]: Simplify (- 1) into -1 30.508 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.508 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 30.508 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 30.508 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.508 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.511 * [backup-simplify]: Simplify (- 0) into 0 30.511 * [backup-simplify]: Simplify (+ 0 0) into 0 30.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.513 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 30.514 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.514 * [taylor]: Taking taylor expansion of 0 in k 30.514 * [backup-simplify]: Simplify 0 into 0 30.514 * [backup-simplify]: Simplify 0 into 0 30.514 * [backup-simplify]: Simplify 0 into 0 30.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.518 * [backup-simplify]: Simplify (- 0) into 0 30.519 * [backup-simplify]: Simplify (+ 0 0) into 0 30.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.520 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.521 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 30.522 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.522 * [taylor]: Taking taylor expansion of 0 in k 30.522 * [backup-simplify]: Simplify 0 into 0 30.522 * [backup-simplify]: Simplify 0 into 0 30.522 * [backup-simplify]: Simplify 0 into 0 30.522 * [backup-simplify]: Simplify 0 into 0 30.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.529 * [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 30.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.530 * [backup-simplify]: Simplify (- 0) into 0 30.530 * [backup-simplify]: Simplify (+ 0 0) into 0 30.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.532 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.533 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 30.534 * [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 30.534 * [taylor]: Taking taylor expansion of 0 in k 30.534 * [backup-simplify]: Simplify 0 into 0 30.534 * [backup-simplify]: Simplify 0 into 0 30.535 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 30.535 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 30.535 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 30.535 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 30.535 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 30.535 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 30.535 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.535 * [taylor]: Taking taylor expansion of 1/2 in k 30.535 * [backup-simplify]: Simplify 1/2 into 1/2 30.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.535 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.535 * [taylor]: Taking taylor expansion of k in k 30.535 * [backup-simplify]: Simplify 0 into 0 30.535 * [backup-simplify]: Simplify 1 into 1 30.536 * [backup-simplify]: Simplify (/ 1 1) into 1 30.536 * [taylor]: Taking taylor expansion of 1 in k 30.536 * [backup-simplify]: Simplify 1 into 1 30.536 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 30.536 * [taylor]: Taking taylor expansion of (/ -1 n) in k 30.536 * [taylor]: Taking taylor expansion of -1 in k 30.536 * [backup-simplify]: Simplify -1 into -1 30.536 * [taylor]: Taking taylor expansion of n in k 30.536 * [backup-simplify]: Simplify n into n 30.536 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 30.536 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 30.536 * [backup-simplify]: Simplify (+ 1 0) into 1 30.537 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.537 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 30.537 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 30.537 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.537 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.538 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.538 * [taylor]: Taking taylor expansion of 1/2 in n 30.538 * [backup-simplify]: Simplify 1/2 into 1/2 30.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.538 * [taylor]: Taking taylor expansion of k in n 30.538 * [backup-simplify]: Simplify k into k 30.538 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.538 * [taylor]: Taking taylor expansion of 1 in n 30.538 * [backup-simplify]: Simplify 1 into 1 30.538 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.538 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.538 * [taylor]: Taking taylor expansion of -1 in n 30.538 * [backup-simplify]: Simplify -1 into -1 30.538 * [taylor]: Taking taylor expansion of n in n 30.538 * [backup-simplify]: Simplify 0 into 0 30.538 * [backup-simplify]: Simplify 1 into 1 30.538 * [backup-simplify]: Simplify (/ -1 1) into -1 30.539 * [backup-simplify]: Simplify (log -1) into (log -1) 30.539 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.539 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.540 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.540 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.541 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.541 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.541 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.541 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.541 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.541 * [taylor]: Taking taylor expansion of 1/2 in n 30.541 * [backup-simplify]: Simplify 1/2 into 1/2 30.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.541 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.541 * [taylor]: Taking taylor expansion of k in n 30.541 * [backup-simplify]: Simplify k into k 30.541 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.541 * [taylor]: Taking taylor expansion of 1 in n 30.541 * [backup-simplify]: Simplify 1 into 1 30.541 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.541 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.541 * [taylor]: Taking taylor expansion of -1 in n 30.541 * [backup-simplify]: Simplify -1 into -1 30.541 * [taylor]: Taking taylor expansion of n in n 30.541 * [backup-simplify]: Simplify 0 into 0 30.541 * [backup-simplify]: Simplify 1 into 1 30.542 * [backup-simplify]: Simplify (/ -1 1) into -1 30.542 * [backup-simplify]: Simplify (log -1) into (log -1) 30.542 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.543 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.544 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.544 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.545 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 30.545 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 30.545 * [taylor]: Taking taylor expansion of 1/2 in k 30.545 * [backup-simplify]: Simplify 1/2 into 1/2 30.545 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 30.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.545 * [taylor]: Taking taylor expansion of k in k 30.545 * [backup-simplify]: Simplify 0 into 0 30.545 * [backup-simplify]: Simplify 1 into 1 30.545 * [backup-simplify]: Simplify (/ 1 1) into 1 30.545 * [taylor]: Taking taylor expansion of 1 in k 30.545 * [backup-simplify]: Simplify 1 into 1 30.545 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 30.545 * [taylor]: Taking taylor expansion of (log -1) in k 30.545 * [taylor]: Taking taylor expansion of -1 in k 30.545 * [backup-simplify]: Simplify -1 into -1 30.546 * [backup-simplify]: Simplify (log -1) into (log -1) 30.546 * [taylor]: Taking taylor expansion of (log n) in k 30.546 * [taylor]: Taking taylor expansion of n in k 30.546 * [backup-simplify]: Simplify n into n 30.546 * [backup-simplify]: Simplify (log n) into (log n) 30.547 * [backup-simplify]: Simplify (+ 1 0) into 1 30.547 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.547 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 30.548 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 30.548 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 30.549 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.549 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 30.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.552 * [backup-simplify]: Simplify (+ 0 0) into 0 30.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.554 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 30.555 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.555 * [taylor]: Taking taylor expansion of 0 in k 30.555 * [backup-simplify]: Simplify 0 into 0 30.555 * [backup-simplify]: Simplify 0 into 0 30.555 * [backup-simplify]: Simplify 0 into 0 30.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 30.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.560 * [backup-simplify]: Simplify (+ 0 0) into 0 30.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.562 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.563 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 30.565 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.565 * [taylor]: Taking taylor expansion of 0 in k 30.565 * [backup-simplify]: Simplify 0 into 0 30.565 * [backup-simplify]: Simplify 0 into 0 30.565 * [backup-simplify]: Simplify 0 into 0 30.565 * [backup-simplify]: Simplify 0 into 0 30.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.571 * [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 30.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.572 * [backup-simplify]: Simplify (+ 0 0) into 0 30.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 30.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.576 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 30.578 * [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 30.578 * [taylor]: Taking taylor expansion of 0 in k 30.578 * [backup-simplify]: Simplify 0 into 0 30.578 * [backup-simplify]: Simplify 0 into 0 30.579 * [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)))))) 30.579 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 30.579 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k))) 30.579 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0 30.579 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 30.579 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 30.579 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 30.579 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.580 * [taylor]: Taking taylor expansion of 1/2 in k 30.580 * [backup-simplify]: Simplify 1/2 into 1/2 30.580 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.580 * [taylor]: Taking taylor expansion of 1 in k 30.580 * [backup-simplify]: Simplify 1 into 1 30.580 * [taylor]: Taking taylor expansion of k in k 30.580 * [backup-simplify]: Simplify 0 into 0 30.580 * [backup-simplify]: Simplify 1 into 1 30.580 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.580 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.580 * [taylor]: Taking taylor expansion of 2 in k 30.580 * [backup-simplify]: Simplify 2 into 2 30.580 * [taylor]: Taking taylor expansion of PI in k 30.580 * [backup-simplify]: Simplify PI into PI 30.580 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.581 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.582 * [backup-simplify]: Simplify (- 0) into 0 30.582 * [backup-simplify]: Simplify (+ 1 0) into 1 30.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.584 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.587 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.587 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 30.587 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 30.587 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 30.587 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.587 * [taylor]: Taking taylor expansion of 1/2 in k 30.588 * [backup-simplify]: Simplify 1/2 into 1/2 30.588 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.588 * [taylor]: Taking taylor expansion of 1 in k 30.588 * [backup-simplify]: Simplify 1 into 1 30.588 * [taylor]: Taking taylor expansion of k in k 30.588 * [backup-simplify]: Simplify 0 into 0 30.588 * [backup-simplify]: Simplify 1 into 1 30.588 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.588 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.588 * [taylor]: Taking taylor expansion of 2 in k 30.588 * [backup-simplify]: Simplify 2 into 2 30.588 * [taylor]: Taking taylor expansion of PI in k 30.588 * [backup-simplify]: Simplify PI into PI 30.588 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.589 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.590 * [backup-simplify]: Simplify (- 0) into 0 30.590 * [backup-simplify]: Simplify (+ 1 0) into 1 30.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.592 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.595 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.596 * [backup-simplify]: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 30.597 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.599 * [backup-simplify]: Simplify (- 1) into -1 30.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.600 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 30.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 30.623 * [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)))) 30.627 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 30.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.631 * [backup-simplify]: Simplify (- 0) into 0 30.631 * [backup-simplify]: Simplify (+ 0 0) into 0 30.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 30.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 30.642 * [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))) 30.645 * [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))) 30.652 * [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)))) 30.652 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) 30.652 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 30.652 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.652 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.652 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.652 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.652 * [taylor]: Taking taylor expansion of 1/2 in k 30.652 * [backup-simplify]: Simplify 1/2 into 1/2 30.652 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.652 * [taylor]: Taking taylor expansion of 1 in k 30.652 * [backup-simplify]: Simplify 1 into 1 30.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.652 * [taylor]: Taking taylor expansion of k in k 30.652 * [backup-simplify]: Simplify 0 into 0 30.652 * [backup-simplify]: Simplify 1 into 1 30.653 * [backup-simplify]: Simplify (/ 1 1) into 1 30.653 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.653 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.653 * [taylor]: Taking taylor expansion of 2 in k 30.653 * [backup-simplify]: Simplify 2 into 2 30.653 * [taylor]: Taking taylor expansion of PI in k 30.653 * [backup-simplify]: Simplify PI into PI 30.653 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.654 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.654 * [backup-simplify]: Simplify (- 1) into -1 30.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.654 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.655 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.656 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.656 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.656 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.656 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.656 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.656 * [taylor]: Taking taylor expansion of 1/2 in k 30.656 * [backup-simplify]: Simplify 1/2 into 1/2 30.656 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.656 * [taylor]: Taking taylor expansion of 1 in k 30.656 * [backup-simplify]: Simplify 1 into 1 30.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.656 * [taylor]: Taking taylor expansion of k in k 30.656 * [backup-simplify]: Simplify 0 into 0 30.656 * [backup-simplify]: Simplify 1 into 1 30.656 * [backup-simplify]: Simplify (/ 1 1) into 1 30.656 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.656 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.656 * [taylor]: Taking taylor expansion of 2 in k 30.657 * [backup-simplify]: Simplify 2 into 2 30.657 * [taylor]: Taking taylor expansion of PI in k 30.657 * [backup-simplify]: Simplify PI into PI 30.657 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.657 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.658 * [backup-simplify]: Simplify (- 1) into -1 30.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.658 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.660 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.661 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.662 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.662 * [backup-simplify]: Simplify 0 into 0 30.663 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.664 * [backup-simplify]: Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) 30.664 * [approximate]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 30.664 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.664 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.664 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.664 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.664 * [taylor]: Taking taylor expansion of 1/2 in k 30.664 * [backup-simplify]: Simplify 1/2 into 1/2 30.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.664 * [taylor]: Taking taylor expansion of k in k 30.664 * [backup-simplify]: Simplify 0 into 0 30.664 * [backup-simplify]: Simplify 1 into 1 30.665 * [backup-simplify]: Simplify (/ 1 1) into 1 30.665 * [taylor]: Taking taylor expansion of 1 in k 30.665 * [backup-simplify]: Simplify 1 into 1 30.665 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.665 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.665 * [taylor]: Taking taylor expansion of 2 in k 30.665 * [backup-simplify]: Simplify 2 into 2 30.665 * [taylor]: Taking taylor expansion of PI in k 30.665 * [backup-simplify]: Simplify PI into PI 30.665 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.666 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.667 * [backup-simplify]: Simplify (+ 1 0) into 1 30.667 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.669 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.670 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.670 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.670 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.670 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.670 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.670 * [taylor]: Taking taylor expansion of 1/2 in k 30.670 * [backup-simplify]: Simplify 1/2 into 1/2 30.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.670 * [taylor]: Taking taylor expansion of k in k 30.670 * [backup-simplify]: Simplify 0 into 0 30.670 * [backup-simplify]: Simplify 1 into 1 30.671 * [backup-simplify]: Simplify (/ 1 1) into 1 30.671 * [taylor]: Taking taylor expansion of 1 in k 30.671 * [backup-simplify]: Simplify 1 into 1 30.671 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.671 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.671 * [taylor]: Taking taylor expansion of 2 in k 30.671 * [backup-simplify]: Simplify 2 into 2 30.671 * [taylor]: Taking taylor expansion of PI in k 30.671 * [backup-simplify]: Simplify PI into PI 30.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.673 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.673 * [backup-simplify]: Simplify (+ 1 0) into 1 30.674 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.676 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.677 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.678 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.678 * [backup-simplify]: Simplify 0 into 0 30.679 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.679 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 30.680 * [backup-simplify]: Simplify (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) 30.680 * [approximate]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in (n k) around 0 30.680 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 30.680 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 30.680 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 30.680 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 30.680 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.680 * [taylor]: Taking taylor expansion of 1/2 in k 30.680 * [backup-simplify]: Simplify 1/2 into 1/2 30.680 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.680 * [taylor]: Taking taylor expansion of 1 in k 30.680 * [backup-simplify]: Simplify 1 into 1 30.680 * [taylor]: Taking taylor expansion of k in k 30.680 * [backup-simplify]: Simplify 0 into 0 30.680 * [backup-simplify]: Simplify 1 into 1 30.680 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.680 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.680 * [taylor]: Taking taylor expansion of 2 in k 30.680 * [backup-simplify]: Simplify 2 into 2 30.681 * [taylor]: Taking taylor expansion of PI in k 30.681 * [backup-simplify]: Simplify PI into PI 30.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.682 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.682 * [backup-simplify]: Simplify (- 0) into 0 30.683 * [backup-simplify]: Simplify (+ 1 0) into 1 30.683 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.685 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.687 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.687 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 30.687 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 30.687 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 30.687 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 30.687 * [taylor]: Taking taylor expansion of 1/2 in k 30.687 * [backup-simplify]: Simplify 1/2 into 1/2 30.687 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.687 * [taylor]: Taking taylor expansion of 1 in k 30.687 * [backup-simplify]: Simplify 1 into 1 30.688 * [taylor]: Taking taylor expansion of k in k 30.688 * [backup-simplify]: Simplify 0 into 0 30.688 * [backup-simplify]: Simplify 1 into 1 30.688 * [taylor]: Taking taylor expansion of (log n) in k 30.688 * [taylor]: Taking taylor expansion of n in k 30.688 * [backup-simplify]: Simplify n into n 30.688 * [backup-simplify]: Simplify (log n) into (log n) 30.688 * [backup-simplify]: Simplify (- 0) into 0 30.689 * [backup-simplify]: Simplify (+ 1 0) into 1 30.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.689 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.689 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.689 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.689 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.689 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.689 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.689 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.690 * [taylor]: Taking taylor expansion of 1/2 in n 30.690 * [backup-simplify]: Simplify 1/2 into 1/2 30.690 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.690 * [taylor]: Taking taylor expansion of 1 in n 30.690 * [backup-simplify]: Simplify 1 into 1 30.690 * [taylor]: Taking taylor expansion of k in n 30.690 * [backup-simplify]: Simplify k into k 30.690 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.690 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.690 * [taylor]: Taking taylor expansion of 2 in n 30.690 * [backup-simplify]: Simplify 2 into 2 30.690 * [taylor]: Taking taylor expansion of PI in n 30.690 * [backup-simplify]: Simplify PI into PI 30.690 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.691 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.691 * [backup-simplify]: Simplify (- k) into (- k) 30.691 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.691 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.692 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.693 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.694 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.694 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.694 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.694 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.694 * [taylor]: Taking taylor expansion of 1/2 in n 30.694 * [backup-simplify]: Simplify 1/2 into 1/2 30.694 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.694 * [taylor]: Taking taylor expansion of 1 in n 30.694 * [backup-simplify]: Simplify 1 into 1 30.694 * [taylor]: Taking taylor expansion of k in n 30.694 * [backup-simplify]: Simplify k into k 30.694 * [taylor]: Taking taylor expansion of (log n) in n 30.694 * [taylor]: Taking taylor expansion of n in n 30.694 * [backup-simplify]: Simplify 0 into 0 30.694 * [backup-simplify]: Simplify 1 into 1 30.694 * [backup-simplify]: Simplify (log 1) into 0 30.694 * [backup-simplify]: Simplify (- k) into (- k) 30.694 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.694 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.695 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.695 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.695 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.695 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 30.695 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 30.695 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 30.695 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 30.695 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.695 * [taylor]: Taking taylor expansion of 1/2 in n 30.695 * [backup-simplify]: Simplify 1/2 into 1/2 30.695 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.695 * [taylor]: Taking taylor expansion of 1 in n 30.695 * [backup-simplify]: Simplify 1 into 1 30.695 * [taylor]: Taking taylor expansion of k in n 30.695 * [backup-simplify]: Simplify k into k 30.696 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.696 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.696 * [taylor]: Taking taylor expansion of 2 in n 30.696 * [backup-simplify]: Simplify 2 into 2 30.696 * [taylor]: Taking taylor expansion of PI in n 30.696 * [backup-simplify]: Simplify PI into PI 30.696 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.697 * [backup-simplify]: Simplify (- k) into (- k) 30.697 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.697 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.698 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 30.699 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 30.699 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 30.699 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 30.699 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 30.699 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 30.699 * [taylor]: Taking taylor expansion of 1/2 in n 30.699 * [backup-simplify]: Simplify 1/2 into 1/2 30.699 * [taylor]: Taking taylor expansion of (- 1 k) in n 30.699 * [taylor]: Taking taylor expansion of 1 in n 30.700 * [backup-simplify]: Simplify 1 into 1 30.700 * [taylor]: Taking taylor expansion of k in n 30.700 * [backup-simplify]: Simplify k into k 30.700 * [taylor]: Taking taylor expansion of (log n) in n 30.700 * [taylor]: Taking taylor expansion of n in n 30.700 * [backup-simplify]: Simplify 0 into 0 30.700 * [backup-simplify]: Simplify 1 into 1 30.700 * [backup-simplify]: Simplify (log 1) into 0 30.700 * [backup-simplify]: Simplify (- k) into (- k) 30.700 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 30.700 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 30.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.701 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 30.701 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 30.702 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.702 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 30.702 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 30.702 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 30.702 * [taylor]: Taking taylor expansion of 1/2 in k 30.702 * [backup-simplify]: Simplify 1/2 into 1/2 30.702 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 30.702 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.702 * [taylor]: Taking taylor expansion of 1 in k 30.702 * [backup-simplify]: Simplify 1 into 1 30.702 * [taylor]: Taking taylor expansion of k in k 30.702 * [backup-simplify]: Simplify 0 into 0 30.702 * [backup-simplify]: Simplify 1 into 1 30.702 * [taylor]: Taking taylor expansion of (log n) in k 30.702 * [taylor]: Taking taylor expansion of n in k 30.703 * [backup-simplify]: Simplify n into n 30.703 * [backup-simplify]: Simplify (log n) into (log n) 30.703 * [backup-simplify]: Simplify (- 0) into 0 30.703 * [backup-simplify]: Simplify (+ 1 0) into 1 30.703 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 30.703 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 30.704 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 30.704 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 30.704 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 30.704 * [taylor]: Taking taylor expansion of 1/2 in k 30.704 * [backup-simplify]: Simplify 1/2 into 1/2 30.704 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 30.704 * [taylor]: Taking taylor expansion of (- 1 k) in k 30.704 * [taylor]: Taking taylor expansion of 1 in k 30.704 * [backup-simplify]: Simplify 1 into 1 30.704 * [taylor]: Taking taylor expansion of k in k 30.704 * [backup-simplify]: Simplify 0 into 0 30.704 * [backup-simplify]: Simplify 1 into 1 30.704 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.704 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.704 * [taylor]: Taking taylor expansion of 2 in k 30.704 * [backup-simplify]: Simplify 2 into 2 30.704 * [taylor]: Taking taylor expansion of PI in k 30.704 * [backup-simplify]: Simplify PI into PI 30.704 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.705 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.706 * [backup-simplify]: Simplify (- 0) into 0 30.706 * [backup-simplify]: Simplify (+ 1 0) into 1 30.708 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.710 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.712 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 30.713 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 30.713 * [backup-simplify]: Simplify (sqrt (* PI (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 30.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.715 * [backup-simplify]: Simplify (- 0) into 0 30.715 * [backup-simplify]: Simplify (+ 0 0) into 0 30.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.717 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 30.717 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.718 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.720 * [backup-simplify]: Simplify (- 0) into 0 30.721 * [backup-simplify]: Simplify (+ 0 0) into 0 30.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 30.722 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 30.724 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.725 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 30.725 * [taylor]: Taking taylor expansion of 0 in k 30.725 * [backup-simplify]: Simplify 0 into 0 30.725 * [backup-simplify]: Simplify 0 into 0 30.726 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.728 * [backup-simplify]: Simplify (- 1) into -1 30.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.732 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 30.737 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 30.755 * [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)))) 30.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 30.756 * [backup-simplify]: Simplify (- 1) into -1 30.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.757 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 30.758 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 30.758 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 30.763 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 30.766 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 30.769 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.770 * [backup-simplify]: Simplify (- 0) into 0 30.770 * [backup-simplify]: Simplify (+ 0 0) into 0 30.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 30.772 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 30.773 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.778 * [backup-simplify]: Simplify (- 0) into 0 30.778 * [backup-simplify]: Simplify (+ 0 0) into 0 30.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 30.780 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.783 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.784 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 30.784 * [taylor]: Taking taylor expansion of 0 in k 30.784 * [backup-simplify]: Simplify 0 into 0 30.784 * [backup-simplify]: Simplify 0 into 0 30.784 * [backup-simplify]: Simplify 0 into 0 30.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.789 * [backup-simplify]: Simplify (- 0) into 0 30.789 * [backup-simplify]: Simplify (+ 0 0) into 0 30.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 30.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 30.802 * [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))) 30.803 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 30.803 * [backup-simplify]: Simplify (- 0) into 0 30.803 * [backup-simplify]: Simplify (+ 0 0) into 0 30.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 30.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 30.805 * [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))) 30.811 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 30.814 * [backup-simplify]: Simplify (+ (* 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)))))) 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)))))) 30.820 * [backup-simplify]: Simplify (+ (* (+ (* 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)))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) (* k 1)) (* (sqrt 2) (sqrt (* n PI))))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log n) (log (* 2 PI))))) (sqrt (* n PI)))) (* (sqrt 2) (sqrt (* n PI)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))))) 30.820 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) 30.820 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 30.820 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 30.820 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 30.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 30.821 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 30.821 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.821 * [taylor]: Taking taylor expansion of 1/2 in k 30.821 * [backup-simplify]: Simplify 1/2 into 1/2 30.821 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.821 * [taylor]: Taking taylor expansion of 1 in k 30.821 * [backup-simplify]: Simplify 1 into 1 30.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.821 * [taylor]: Taking taylor expansion of k in k 30.821 * [backup-simplify]: Simplify 0 into 0 30.821 * [backup-simplify]: Simplify 1 into 1 30.821 * [backup-simplify]: Simplify (/ 1 1) into 1 30.821 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 30.821 * [taylor]: Taking taylor expansion of (/ 1 n) in k 30.821 * [taylor]: Taking taylor expansion of n in k 30.821 * [backup-simplify]: Simplify n into n 30.821 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 30.821 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 30.821 * [backup-simplify]: Simplify (- 1) into -1 30.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.822 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.822 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 30.822 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 30.822 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 30.822 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 30.822 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 30.822 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 30.822 * [taylor]: Taking taylor expansion of 1/2 in k 30.822 * [backup-simplify]: Simplify 1/2 into 1/2 30.822 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.822 * [taylor]: Taking taylor expansion of 1 in k 30.822 * [backup-simplify]: Simplify 1 into 1 30.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.822 * [taylor]: Taking taylor expansion of k in k 30.822 * [backup-simplify]: Simplify 0 into 0 30.822 * [backup-simplify]: Simplify 1 into 1 30.823 * [backup-simplify]: Simplify (/ 1 1) into 1 30.823 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.823 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.823 * [taylor]: Taking taylor expansion of 2 in k 30.823 * [backup-simplify]: Simplify 2 into 2 30.823 * [taylor]: Taking taylor expansion of PI in k 30.823 * [backup-simplify]: Simplify PI into PI 30.823 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.824 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.824 * [backup-simplify]: Simplify (- 1) into -1 30.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.824 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 30.825 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 30.826 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.826 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.826 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.826 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.826 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.826 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.826 * [taylor]: Taking taylor expansion of 1/2 in n 30.826 * [backup-simplify]: Simplify 1/2 into 1/2 30.826 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.826 * [taylor]: Taking taylor expansion of 1 in n 30.826 * [backup-simplify]: Simplify 1 into 1 30.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.826 * [taylor]: Taking taylor expansion of k in n 30.826 * [backup-simplify]: Simplify k into k 30.826 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.826 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.826 * [taylor]: Taking taylor expansion of n in n 30.826 * [backup-simplify]: Simplify 0 into 0 30.826 * [backup-simplify]: Simplify 1 into 1 30.827 * [backup-simplify]: Simplify (/ 1 1) into 1 30.827 * [backup-simplify]: Simplify (log 1) into 0 30.827 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.827 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.827 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.828 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.828 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.828 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.828 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.828 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.828 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.828 * [taylor]: Taking taylor expansion of 1/2 in n 30.828 * [backup-simplify]: Simplify 1/2 into 1/2 30.828 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.828 * [taylor]: Taking taylor expansion of 1 in n 30.829 * [backup-simplify]: Simplify 1 into 1 30.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.829 * [taylor]: Taking taylor expansion of k in n 30.829 * [backup-simplify]: Simplify k into k 30.829 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.829 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.829 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.829 * [taylor]: Taking taylor expansion of 2 in n 30.829 * [backup-simplify]: Simplify 2 into 2 30.829 * [taylor]: Taking taylor expansion of PI in n 30.829 * [backup-simplify]: Simplify PI into PI 30.829 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.830 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.830 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.830 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.831 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.832 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.833 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.833 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 30.833 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 30.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 30.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 30.833 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.833 * [taylor]: Taking taylor expansion of 1/2 in n 30.833 * [backup-simplify]: Simplify 1/2 into 1/2 30.833 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.833 * [taylor]: Taking taylor expansion of 1 in n 30.833 * [backup-simplify]: Simplify 1 into 1 30.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.833 * [taylor]: Taking taylor expansion of k in n 30.833 * [backup-simplify]: Simplify k into k 30.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.833 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 30.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 30.833 * [taylor]: Taking taylor expansion of n in n 30.833 * [backup-simplify]: Simplify 0 into 0 30.833 * [backup-simplify]: Simplify 1 into 1 30.834 * [backup-simplify]: Simplify (/ 1 1) into 1 30.834 * [backup-simplify]: Simplify (log 1) into 0 30.834 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.834 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.834 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.835 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 30.835 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.835 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 30.835 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 30.835 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 30.835 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 30.835 * [taylor]: Taking taylor expansion of 1/2 in n 30.835 * [backup-simplify]: Simplify 1/2 into 1/2 30.835 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 30.835 * [taylor]: Taking taylor expansion of 1 in n 30.835 * [backup-simplify]: Simplify 1 into 1 30.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.836 * [taylor]: Taking taylor expansion of k in n 30.836 * [backup-simplify]: Simplify k into k 30.836 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.836 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.836 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.836 * [taylor]: Taking taylor expansion of 2 in n 30.836 * [backup-simplify]: Simplify 2 into 2 30.836 * [taylor]: Taking taylor expansion of PI in n 30.836 * [backup-simplify]: Simplify PI into PI 30.836 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.837 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.837 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 30.837 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 30.838 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 30.839 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 30.840 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.841 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.841 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 30.841 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 30.841 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 30.841 * [taylor]: Taking taylor expansion of -1/2 in k 30.841 * [backup-simplify]: Simplify -1/2 into -1/2 30.841 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 30.841 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.841 * [taylor]: Taking taylor expansion of 1 in k 30.841 * [backup-simplify]: Simplify 1 into 1 30.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.841 * [taylor]: Taking taylor expansion of k in k 30.841 * [backup-simplify]: Simplify 0 into 0 30.841 * [backup-simplify]: Simplify 1 into 1 30.842 * [backup-simplify]: Simplify (/ 1 1) into 1 30.842 * [taylor]: Taking taylor expansion of (log n) in k 30.842 * [taylor]: Taking taylor expansion of n in k 30.842 * [backup-simplify]: Simplify n into n 30.842 * [backup-simplify]: Simplify (log n) into (log n) 30.842 * [backup-simplify]: Simplify (- 1) into -1 30.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.843 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 30.843 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 30.843 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 30.843 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 30.843 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 30.843 * [taylor]: Taking taylor expansion of 1/2 in k 30.843 * [backup-simplify]: Simplify 1/2 into 1/2 30.843 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 30.843 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 30.843 * [taylor]: Taking taylor expansion of 1 in k 30.843 * [backup-simplify]: Simplify 1 into 1 30.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.844 * [taylor]: Taking taylor expansion of k in k 30.844 * [backup-simplify]: Simplify 0 into 0 30.844 * [backup-simplify]: Simplify 1 into 1 30.844 * [backup-simplify]: Simplify (/ 1 1) into 1 30.844 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.844 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.844 * [taylor]: Taking taylor expansion of 2 in k 30.844 * [backup-simplify]: Simplify 2 into 2 30.844 * [taylor]: Taking taylor expansion of PI in k 30.844 * [backup-simplify]: Simplify PI into PI 30.845 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.846 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.846 * [backup-simplify]: Simplify (- 1) into -1 30.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.848 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 30.852 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 30.853 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 30.854 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.855 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 30.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.858 * [backup-simplify]: Simplify (- 0) into 0 30.859 * [backup-simplify]: Simplify (+ 0 0) into 0 30.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 30.862 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 30.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.864 * [backup-simplify]: Simplify (- 0) into 0 30.864 * [backup-simplify]: Simplify (+ 0 0) into 0 30.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 30.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.865 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 30.869 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 30.870 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.870 * [taylor]: Taking taylor expansion of 0 in k 30.870 * [backup-simplify]: Simplify 0 into 0 30.870 * [backup-simplify]: Simplify 0 into 0 30.871 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 30.871 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.874 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.874 * [backup-simplify]: Simplify (- 0) into 0 30.874 * [backup-simplify]: Simplify (+ 0 0) into 0 30.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.875 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.877 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.879 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 30.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.880 * [backup-simplify]: Simplify (- 0) into 0 30.880 * [backup-simplify]: Simplify (+ 0 0) into 0 30.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 30.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.881 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 30.882 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.883 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.883 * [taylor]: Taking taylor expansion of 0 in k 30.883 * [backup-simplify]: Simplify 0 into 0 30.883 * [backup-simplify]: Simplify 0 into 0 30.883 * [backup-simplify]: Simplify 0 into 0 30.884 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 30.884 * [backup-simplify]: Simplify 0 into 0 30.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.888 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.888 * [backup-simplify]: Simplify (- 0) into 0 30.889 * [backup-simplify]: Simplify (+ 0 0) into 0 30.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.890 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 30.893 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 30.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.899 * [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 30.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.899 * [backup-simplify]: Simplify (- 0) into 0 30.900 * [backup-simplify]: Simplify (+ 0 0) into 0 30.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 30.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 30.902 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 30.904 * [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 30.906 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 30.906 * [taylor]: Taking taylor expansion of 0 in k 30.906 * [backup-simplify]: Simplify 0 into 0 30.906 * [backup-simplify]: Simplify 0 into 0 30.907 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 30.908 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) 30.908 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in (n k) around 0 30.909 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 30.909 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 30.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 30.909 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 30.909 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.909 * [taylor]: Taking taylor expansion of 1/2 in k 30.909 * [backup-simplify]: Simplify 1/2 into 1/2 30.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.909 * [taylor]: Taking taylor expansion of k in k 30.909 * [backup-simplify]: Simplify 0 into 0 30.909 * [backup-simplify]: Simplify 1 into 1 30.910 * [backup-simplify]: Simplify (/ 1 1) into 1 30.910 * [taylor]: Taking taylor expansion of 1 in k 30.910 * [backup-simplify]: Simplify 1 into 1 30.910 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 30.910 * [taylor]: Taking taylor expansion of (/ -1 n) in k 30.910 * [taylor]: Taking taylor expansion of -1 in k 30.910 * [backup-simplify]: Simplify -1 into -1 30.910 * [taylor]: Taking taylor expansion of n in k 30.910 * [backup-simplify]: Simplify n into n 30.910 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 30.910 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 30.911 * [backup-simplify]: Simplify (+ 1 0) into 1 30.911 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.911 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 30.911 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 30.911 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 30.912 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 30.912 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 30.912 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 30.912 * [taylor]: Taking taylor expansion of 1/2 in k 30.912 * [backup-simplify]: Simplify 1/2 into 1/2 30.912 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.912 * [taylor]: Taking taylor expansion of k in k 30.912 * [backup-simplify]: Simplify 0 into 0 30.912 * [backup-simplify]: Simplify 1 into 1 30.912 * [backup-simplify]: Simplify (/ 1 1) into 1 30.912 * [taylor]: Taking taylor expansion of 1 in k 30.912 * [backup-simplify]: Simplify 1 into 1 30.912 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.912 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.912 * [taylor]: Taking taylor expansion of 2 in k 30.912 * [backup-simplify]: Simplify 2 into 2 30.912 * [taylor]: Taking taylor expansion of PI in k 30.912 * [backup-simplify]: Simplify PI into PI 30.913 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.914 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.914 * [backup-simplify]: Simplify (+ 1 0) into 1 30.915 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 30.916 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.918 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.918 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.918 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.918 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.918 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.918 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.918 * [taylor]: Taking taylor expansion of 1/2 in n 30.918 * [backup-simplify]: Simplify 1/2 into 1/2 30.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.918 * [taylor]: Taking taylor expansion of k in n 30.918 * [backup-simplify]: Simplify k into k 30.918 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.918 * [taylor]: Taking taylor expansion of 1 in n 30.918 * [backup-simplify]: Simplify 1 into 1 30.918 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.918 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.918 * [taylor]: Taking taylor expansion of -1 in n 30.918 * [backup-simplify]: Simplify -1 into -1 30.918 * [taylor]: Taking taylor expansion of n in n 30.918 * [backup-simplify]: Simplify 0 into 0 30.918 * [backup-simplify]: Simplify 1 into 1 30.919 * [backup-simplify]: Simplify (/ -1 1) into -1 30.919 * [backup-simplify]: Simplify (log -1) into (log -1) 30.919 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.919 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.921 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.921 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.921 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.921 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.921 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.921 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.921 * [taylor]: Taking taylor expansion of 1/2 in n 30.921 * [backup-simplify]: Simplify 1/2 into 1/2 30.921 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.921 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.921 * [taylor]: Taking taylor expansion of k in n 30.921 * [backup-simplify]: Simplify k into k 30.921 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.922 * [taylor]: Taking taylor expansion of 1 in n 30.922 * [backup-simplify]: Simplify 1 into 1 30.922 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.922 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.922 * [taylor]: Taking taylor expansion of 2 in n 30.922 * [backup-simplify]: Simplify 2 into 2 30.922 * [taylor]: Taking taylor expansion of PI in n 30.922 * [backup-simplify]: Simplify PI into PI 30.922 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.923 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.923 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.923 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.924 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.925 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.925 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 30.926 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 30.926 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 30.926 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 30.926 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.926 * [taylor]: Taking taylor expansion of 1/2 in n 30.926 * [backup-simplify]: Simplify 1/2 into 1/2 30.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.926 * [taylor]: Taking taylor expansion of k in n 30.926 * [backup-simplify]: Simplify k into k 30.926 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.926 * [taylor]: Taking taylor expansion of 1 in n 30.926 * [backup-simplify]: Simplify 1 into 1 30.926 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 30.926 * [taylor]: Taking taylor expansion of (/ -1 n) in n 30.926 * [taylor]: Taking taylor expansion of -1 in n 30.926 * [backup-simplify]: Simplify -1 into -1 30.926 * [taylor]: Taking taylor expansion of n in n 30.926 * [backup-simplify]: Simplify 0 into 0 30.926 * [backup-simplify]: Simplify 1 into 1 30.927 * [backup-simplify]: Simplify (/ -1 1) into -1 30.927 * [backup-simplify]: Simplify (log -1) into (log -1) 30.927 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.927 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.928 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.928 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 30.929 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.929 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 30.929 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 30.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 30.929 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 30.929 * [taylor]: Taking taylor expansion of 1/2 in n 30.929 * [backup-simplify]: Simplify 1/2 into 1/2 30.929 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 30.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 30.929 * [taylor]: Taking taylor expansion of k in n 30.929 * [backup-simplify]: Simplify k into k 30.929 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 30.929 * [taylor]: Taking taylor expansion of 1 in n 30.929 * [backup-simplify]: Simplify 1 into 1 30.929 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 30.929 * [taylor]: Taking taylor expansion of (* 2 PI) in n 30.929 * [taylor]: Taking taylor expansion of 2 in n 30.929 * [backup-simplify]: Simplify 2 into 2 30.929 * [taylor]: Taking taylor expansion of PI in n 30.929 * [backup-simplify]: Simplify PI into PI 30.930 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.931 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.931 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 30.931 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 30.932 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 30.933 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.935 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.935 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 30.935 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 30.935 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 30.935 * [taylor]: Taking taylor expansion of 1/2 in k 30.935 * [backup-simplify]: Simplify 1/2 into 1/2 30.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 30.935 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.935 * [taylor]: Taking taylor expansion of k in k 30.935 * [backup-simplify]: Simplify 0 into 0 30.935 * [backup-simplify]: Simplify 1 into 1 30.936 * [backup-simplify]: Simplify (/ 1 1) into 1 30.936 * [taylor]: Taking taylor expansion of 1 in k 30.936 * [backup-simplify]: Simplify 1 into 1 30.936 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 30.936 * [taylor]: Taking taylor expansion of (* 2 PI) in k 30.936 * [taylor]: Taking taylor expansion of 2 in k 30.936 * [backup-simplify]: Simplify 2 into 2 30.936 * [taylor]: Taking taylor expansion of PI in k 30.936 * [backup-simplify]: Simplify PI into PI 30.936 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 30.937 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 30.938 * [backup-simplify]: Simplify (+ 1 0) into 1 30.939 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 30.941 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 30.942 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 30.942 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 30.942 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 30.942 * [taylor]: Taking taylor expansion of 1/2 in k 30.942 * [backup-simplify]: Simplify 1/2 into 1/2 30.942 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 30.942 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 30.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 30.942 * [taylor]: Taking taylor expansion of k in k 30.942 * [backup-simplify]: Simplify 0 into 0 30.942 * [backup-simplify]: Simplify 1 into 1 30.943 * [backup-simplify]: Simplify (/ 1 1) into 1 30.943 * [taylor]: Taking taylor expansion of 1 in k 30.943 * [backup-simplify]: Simplify 1 into 1 30.943 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 30.943 * [taylor]: Taking taylor expansion of (log -1) in k 30.943 * [taylor]: Taking taylor expansion of -1 in k 30.943 * [backup-simplify]: Simplify -1 into -1 30.943 * [backup-simplify]: Simplify (log -1) into (log -1) 30.943 * [taylor]: Taking taylor expansion of (log n) in k 30.943 * [taylor]: Taking taylor expansion of n in k 30.944 * [backup-simplify]: Simplify n into n 30.944 * [backup-simplify]: Simplify (log n) into (log n) 30.944 * [backup-simplify]: Simplify (+ 1 0) into 1 30.944 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 30.945 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 30.945 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 30.945 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 30.946 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 30.948 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.950 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 30.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 30.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 30.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.953 * [backup-simplify]: Simplify (+ 0 0) into 0 30.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.954 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 30.956 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 30.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 30.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 30.959 * [backup-simplify]: Simplify (+ 0 0) into 0 30.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 30.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.961 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 30.962 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 30.964 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 30.964 * [taylor]: Taking taylor expansion of 0 in k 30.964 * [backup-simplify]: Simplify 0 into 0 30.964 * [backup-simplify]: Simplify 0 into 0 30.966 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 30.966 * [backup-simplify]: Simplify 0 into 0 30.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 30.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 30.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.971 * [backup-simplify]: Simplify (+ 0 0) into 0 30.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.974 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 30.976 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 30.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.981 * [backup-simplify]: Simplify (+ 0 0) into 0 30.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 30.982 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 30.983 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 30.985 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 30.987 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 30.987 * [taylor]: Taking taylor expansion of 0 in k 30.987 * [backup-simplify]: Simplify 0 into 0 30.987 * [backup-simplify]: Simplify 0 into 0 30.987 * [backup-simplify]: Simplify 0 into 0 30.989 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 30.989 * [backup-simplify]: Simplify 0 into 0 30.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.997 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 30.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 30.998 * [backup-simplify]: Simplify (+ 0 0) into 0 30.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 31.000 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 31.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.016 * [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 31.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.017 * [backup-simplify]: Simplify (+ 0 0) into 0 31.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 31.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 31.020 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 31.022 * [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 31.025 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))))) into 0 31.025 * [taylor]: Taking taylor expansion of 0 in k 31.025 * [backup-simplify]: Simplify 0 into 0 31.025 * [backup-simplify]: Simplify 0 into 0 31.027 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))) into (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 31.027 * * * * [progress]: [ 4 / 4 ] generating series at (2) 31.028 * [backup-simplify]: Simplify (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 31.028 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 31.028 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 31.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.028 * [taylor]: Taking taylor expansion of k in k 31.028 * [backup-simplify]: Simplify 0 into 0 31.028 * [backup-simplify]: Simplify 1 into 1 31.028 * [backup-simplify]: Simplify (/ 1 1) into 1 31.029 * [backup-simplify]: Simplify (sqrt 0) into 0 31.031 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.031 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 31.031 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k 31.031 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k 31.031 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k 31.031 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.031 * [taylor]: Taking taylor expansion of 1/2 in k 31.031 * [backup-simplify]: Simplify 1/2 into 1/2 31.031 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.031 * [taylor]: Taking taylor expansion of 1 in k 31.031 * [backup-simplify]: Simplify 1 into 1 31.031 * [taylor]: Taking taylor expansion of k in k 31.031 * [backup-simplify]: Simplify 0 into 0 31.031 * [backup-simplify]: Simplify 1 into 1 31.031 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.031 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.031 * [taylor]: Taking taylor expansion of 2 in k 31.031 * [backup-simplify]: Simplify 2 into 2 31.031 * [taylor]: Taking taylor expansion of PI in k 31.031 * [backup-simplify]: Simplify PI into PI 31.032 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.033 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.033 * [backup-simplify]: Simplify (- 0) into 0 31.033 * [backup-simplify]: Simplify (+ 1 0) into 1 31.034 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.036 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 31.038 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 31.038 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 31.038 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 31.038 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 31.038 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 31.038 * [taylor]: Taking taylor expansion of 1/2 in k 31.038 * [backup-simplify]: Simplify 1/2 into 1/2 31.038 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.038 * [taylor]: Taking taylor expansion of 1 in k 31.038 * [backup-simplify]: Simplify 1 into 1 31.038 * [taylor]: Taking taylor expansion of k in k 31.038 * [backup-simplify]: Simplify 0 into 0 31.038 * [backup-simplify]: Simplify 1 into 1 31.038 * [taylor]: Taking taylor expansion of (log n) in k 31.038 * [taylor]: Taking taylor expansion of n in k 31.039 * [backup-simplify]: Simplify n into n 31.039 * [backup-simplify]: Simplify (log n) into (log n) 31.039 * [backup-simplify]: Simplify (- 0) into 0 31.039 * [backup-simplify]: Simplify (+ 1 0) into 1 31.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.040 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 31.040 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 31.040 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 31.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.040 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.040 * [taylor]: Taking taylor expansion of k in n 31.040 * [backup-simplify]: Simplify k into k 31.040 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.040 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.040 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 31.041 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 31.041 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 31.041 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 31.041 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.041 * [taylor]: Taking taylor expansion of 1/2 in n 31.041 * [backup-simplify]: Simplify 1/2 into 1/2 31.041 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.041 * [taylor]: Taking taylor expansion of 1 in n 31.041 * [backup-simplify]: Simplify 1 into 1 31.041 * [taylor]: Taking taylor expansion of k in n 31.041 * [backup-simplify]: Simplify k into k 31.041 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.041 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.041 * [taylor]: Taking taylor expansion of 2 in n 31.041 * [backup-simplify]: Simplify 2 into 2 31.041 * [taylor]: Taking taylor expansion of PI in n 31.041 * [backup-simplify]: Simplify PI into PI 31.041 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.042 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.042 * [backup-simplify]: Simplify (- k) into (- k) 31.042 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.043 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.044 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 31.045 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 31.045 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 31.045 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 31.045 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 31.045 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.045 * [taylor]: Taking taylor expansion of 1/2 in n 31.045 * [backup-simplify]: Simplify 1/2 into 1/2 31.045 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.045 * [taylor]: Taking taylor expansion of 1 in n 31.045 * [backup-simplify]: Simplify 1 into 1 31.045 * [taylor]: Taking taylor expansion of k in n 31.045 * [backup-simplify]: Simplify k into k 31.045 * [taylor]: Taking taylor expansion of (log n) in n 31.045 * [taylor]: Taking taylor expansion of n in n 31.045 * [backup-simplify]: Simplify 0 into 0 31.045 * [backup-simplify]: Simplify 1 into 1 31.045 * [backup-simplify]: Simplify (log 1) into 0 31.045 * [backup-simplify]: Simplify (- k) into (- k) 31.045 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.046 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.046 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 31.046 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 31.046 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 31.046 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 31.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 31.046 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.046 * [taylor]: Taking taylor expansion of k in n 31.046 * [backup-simplify]: Simplify k into k 31.046 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.046 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 31.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 31.047 * [taylor]: Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 31.047 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in n 31.047 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in n 31.047 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in n 31.047 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.047 * [taylor]: Taking taylor expansion of 1/2 in n 31.047 * [backup-simplify]: Simplify 1/2 into 1/2 31.047 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.047 * [taylor]: Taking taylor expansion of 1 in n 31.047 * [backup-simplify]: Simplify 1 into 1 31.047 * [taylor]: Taking taylor expansion of k in n 31.047 * [backup-simplify]: Simplify k into k 31.047 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.047 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.047 * [taylor]: Taking taylor expansion of 2 in n 31.047 * [backup-simplify]: Simplify 2 into 2 31.047 * [taylor]: Taking taylor expansion of PI in n 31.047 * [backup-simplify]: Simplify PI into PI 31.048 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.049 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.049 * [backup-simplify]: Simplify (- k) into (- k) 31.049 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.049 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.050 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log (* 2 PI))) into (* 1/2 (* (- 1 k) (log (* 2 PI)))) 31.051 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 31.051 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 31.051 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 31.051 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 31.051 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 31.051 * [taylor]: Taking taylor expansion of 1/2 in n 31.051 * [backup-simplify]: Simplify 1/2 into 1/2 31.051 * [taylor]: Taking taylor expansion of (- 1 k) in n 31.051 * [taylor]: Taking taylor expansion of 1 in n 31.051 * [backup-simplify]: Simplify 1 into 1 31.051 * [taylor]: Taking taylor expansion of k in n 31.051 * [backup-simplify]: Simplify k into k 31.051 * [taylor]: Taking taylor expansion of (log n) in n 31.051 * [taylor]: Taking taylor expansion of n in n 31.051 * [backup-simplify]: Simplify 0 into 0 31.051 * [backup-simplify]: Simplify 1 into 1 31.052 * [backup-simplify]: Simplify (log 1) into 0 31.052 * [backup-simplify]: Simplify (- k) into (- k) 31.052 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 31.052 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 31.052 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 31.052 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 31.052 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 31.054 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 31.055 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) into (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) 31.055 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k 31.055 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) in k 31.055 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 31.055 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 31.055 * [taylor]: Taking taylor expansion of 1/2 in k 31.055 * [backup-simplify]: Simplify 1/2 into 1/2 31.055 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 31.055 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.055 * [taylor]: Taking taylor expansion of 1 in k 31.055 * [backup-simplify]: Simplify 1 into 1 31.055 * [taylor]: Taking taylor expansion of k in k 31.055 * [backup-simplify]: Simplify 0 into 0 31.055 * [backup-simplify]: Simplify 1 into 1 31.055 * [taylor]: Taking taylor expansion of (log n) in k 31.055 * [taylor]: Taking taylor expansion of n in k 31.055 * [backup-simplify]: Simplify n into n 31.055 * [backup-simplify]: Simplify (log n) into (log n) 31.056 * [backup-simplify]: Simplify (- 0) into 0 31.056 * [backup-simplify]: Simplify (+ 1 0) into 1 31.056 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 31.056 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 31.056 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 31.056 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) in k 31.056 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log (* 2 PI)))) in k 31.056 * [taylor]: Taking taylor expansion of 1/2 in k 31.056 * [backup-simplify]: Simplify 1/2 into 1/2 31.057 * [taylor]: Taking taylor expansion of (* (- 1 k) (log (* 2 PI))) in k 31.057 * [taylor]: Taking taylor expansion of (- 1 k) in k 31.057 * [taylor]: Taking taylor expansion of 1 in k 31.057 * [backup-simplify]: Simplify 1 into 1 31.057 * [taylor]: Taking taylor expansion of k in k 31.057 * [backup-simplify]: Simplify 0 into 0 31.057 * [backup-simplify]: Simplify 1 into 1 31.057 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.057 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.057 * [taylor]: Taking taylor expansion of 2 in k 31.057 * [backup-simplify]: Simplify 2 into 2 31.057 * [taylor]: Taking taylor expansion of PI in k 31.057 * [backup-simplify]: Simplify PI into PI 31.057 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.058 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.059 * [backup-simplify]: Simplify (- 0) into 0 31.059 * [backup-simplify]: Simplify (+ 1 0) into 1 31.061 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 31.062 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 31.065 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 31.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 31.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.065 * [taylor]: Taking taylor expansion of k in k 31.065 * [backup-simplify]: Simplify 0 into 0 31.065 * [backup-simplify]: Simplify 1 into 1 31.065 * [backup-simplify]: Simplify (/ 1 1) into 1 31.066 * [backup-simplify]: Simplify (sqrt 0) into 0 31.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.068 * [backup-simplify]: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 31.068 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 31.068 * [backup-simplify]: Simplify 0 into 0 31.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 31.070 * [backup-simplify]: Simplify (- 0) into 0 31.071 * [backup-simplify]: Simplify (+ 0 0) into 0 31.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.072 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 31.072 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 31.073 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 31.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.076 * [backup-simplify]: Simplify (- 0) into 0 31.076 * [backup-simplify]: Simplify (+ 0 0) into 0 31.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 31.078 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log (* 2 PI)))) into 0 31.079 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.081 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 31.082 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))) into 0 31.082 * [taylor]: Taking taylor expansion of 0 in k 31.083 * [backup-simplify]: Simplify 0 into 0 31.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.085 * [backup-simplify]: Simplify (- 1) into -1 31.086 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.089 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log (* 2 PI)))) into (- (log (* 2 PI))) 31.094 * [backup-simplify]: Simplify (+ (* 1/2 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 31.106 * [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)))) 31.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 31.107 * [backup-simplify]: Simplify (- 1) into -1 31.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.108 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 31.108 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 31.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 31.114 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 31.117 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 31.117 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 31.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 31.121 * [backup-simplify]: Simplify (- 0) into 0 31.121 * [backup-simplify]: Simplify (+ 0 0) into 0 31.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.123 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 31.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 31.124 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.129 * [backup-simplify]: Simplify (- 0) into 0 31.130 * [backup-simplify]: Simplify (+ 0 0) into 0 31.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 31.132 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 31.134 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.135 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 31.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 31.138 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))) into 0 31.138 * [taylor]: Taking taylor expansion of 0 in k 31.138 * [backup-simplify]: Simplify 0 into 0 31.138 * [backup-simplify]: Simplify 0 into 0 31.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.145 * [backup-simplify]: Simplify (- 0) into 0 31.145 * [backup-simplify]: Simplify (+ 0 0) into 0 31.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log (* 2 PI))))) into 0 31.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI))))) into 0 31.160 * [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))) 31.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 31.162 * [backup-simplify]: Simplify (- 0) into 0 31.162 * [backup-simplify]: Simplify (+ 0 0) into 0 31.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 31.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 31.163 * [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))) 31.170 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 31.178 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 31.182 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) 31.188 * [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 31.188 * [backup-simplify]: Simplify (- 0) into 0 31.189 * [backup-simplify]: Simplify (+ 0 0) into 0 31.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 31.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 31.191 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 31.193 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.200 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 31.201 * [backup-simplify]: Simplify (- 0) into 0 31.201 * [backup-simplify]: Simplify (+ 0 0) into 0 31.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 31.203 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 31.205 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.206 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 31.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 31.208 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))) into 0 31.208 * [taylor]: Taking taylor expansion of 0 in k 31.208 * [backup-simplify]: Simplify 0 into 0 31.208 * [backup-simplify]: Simplify 0 into 0 31.208 * [backup-simplify]: Simplify 0 into 0 31.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 31.215 * [backup-simplify]: Simplify (- 0) into 0 31.215 * [backup-simplify]: Simplify (+ 0 0) into 0 31.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 31.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log (* 2 PI)))) (* 0 (log (* 2 PI)))))) into 0 31.228 * [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))) 31.230 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 31.230 * [backup-simplify]: Simplify (- 0) into 0 31.231 * [backup-simplify]: Simplify (+ 0 0) into 0 31.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 31.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 31.234 * [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))) 31.251 * [backup-simplify]: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 31.276 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 31.288 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) 31.304 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 31.305 * [backup-simplify]: Simplify (/ (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) (sqrt (/ 1 k))) into (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) 31.305 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (n k) around 0 31.305 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k 31.305 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in k 31.305 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 31.305 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 31.305 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 31.305 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.305 * [taylor]: Taking taylor expansion of 1/2 in k 31.305 * [backup-simplify]: Simplify 1/2 into 1/2 31.305 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.305 * [taylor]: Taking taylor expansion of 1 in k 31.305 * [backup-simplify]: Simplify 1 into 1 31.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.305 * [taylor]: Taking taylor expansion of k in k 31.305 * [backup-simplify]: Simplify 0 into 0 31.305 * [backup-simplify]: Simplify 1 into 1 31.306 * [backup-simplify]: Simplify (/ 1 1) into 1 31.306 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 31.306 * [taylor]: Taking taylor expansion of (/ 1 n) in k 31.306 * [taylor]: Taking taylor expansion of n in k 31.306 * [backup-simplify]: Simplify n into n 31.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 31.306 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 31.306 * [backup-simplify]: Simplify (- 1) into -1 31.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.307 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.307 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 31.307 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 31.307 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k 31.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k 31.308 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k 31.308 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 31.308 * [taylor]: Taking taylor expansion of 1/2 in k 31.308 * [backup-simplify]: Simplify 1/2 into 1/2 31.308 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.308 * [taylor]: Taking taylor expansion of 1 in k 31.308 * [backup-simplify]: Simplify 1 into 1 31.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.308 * [taylor]: Taking taylor expansion of k in k 31.308 * [backup-simplify]: Simplify 0 into 0 31.308 * [backup-simplify]: Simplify 1 into 1 31.308 * [backup-simplify]: Simplify (/ 1 1) into 1 31.308 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.308 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.308 * [taylor]: Taking taylor expansion of 2 in k 31.308 * [backup-simplify]: Simplify 2 into 2 31.308 * [taylor]: Taking taylor expansion of PI in k 31.308 * [backup-simplify]: Simplify PI into PI 31.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.310 * [backup-simplify]: Simplify (- 1) into -1 31.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.311 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 31.312 * [backup-simplify]: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 31.313 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 31.314 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.314 * [taylor]: Taking taylor expansion of k in k 31.314 * [backup-simplify]: Simplify 0 into 0 31.314 * [backup-simplify]: Simplify 1 into 1 31.314 * [backup-simplify]: Simplify (sqrt 0) into 0 31.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.315 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 31.316 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 31.316 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 31.316 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 31.316 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 31.316 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.316 * [taylor]: Taking taylor expansion of 1/2 in n 31.316 * [backup-simplify]: Simplify 1/2 into 1/2 31.316 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.316 * [taylor]: Taking taylor expansion of 1 in n 31.316 * [backup-simplify]: Simplify 1 into 1 31.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.316 * [taylor]: Taking taylor expansion of k in n 31.316 * [backup-simplify]: Simplify k into k 31.316 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.316 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 31.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 31.316 * [taylor]: Taking taylor expansion of n in n 31.316 * [backup-simplify]: Simplify 0 into 0 31.316 * [backup-simplify]: Simplify 1 into 1 31.316 * [backup-simplify]: Simplify (/ 1 1) into 1 31.317 * [backup-simplify]: Simplify (log 1) into 0 31.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.317 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.317 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 31.318 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 31.318 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 31.318 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 31.318 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 31.318 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 31.318 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.318 * [taylor]: Taking taylor expansion of 1/2 in n 31.318 * [backup-simplify]: Simplify 1/2 into 1/2 31.318 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.318 * [taylor]: Taking taylor expansion of 1 in n 31.318 * [backup-simplify]: Simplify 1 into 1 31.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.318 * [taylor]: Taking taylor expansion of k in n 31.318 * [backup-simplify]: Simplify k into k 31.318 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.318 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.318 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.318 * [taylor]: Taking taylor expansion of 2 in n 31.318 * [backup-simplify]: Simplify 2 into 2 31.318 * [taylor]: Taking taylor expansion of PI in n 31.318 * [backup-simplify]: Simplify PI into PI 31.319 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.320 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.320 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.320 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.320 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.321 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 31.323 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 31.323 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.323 * [taylor]: Taking taylor expansion of k in n 31.323 * [backup-simplify]: Simplify k into k 31.323 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.323 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in n 31.323 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))) in n 31.323 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 31.323 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 31.323 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 31.323 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.323 * [taylor]: Taking taylor expansion of 1/2 in n 31.323 * [backup-simplify]: Simplify 1/2 into 1/2 31.323 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.323 * [taylor]: Taking taylor expansion of 1 in n 31.323 * [backup-simplify]: Simplify 1 into 1 31.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.323 * [taylor]: Taking taylor expansion of k in n 31.323 * [backup-simplify]: Simplify k into k 31.323 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.323 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 31.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 31.323 * [taylor]: Taking taylor expansion of n in n 31.323 * [backup-simplify]: Simplify 0 into 0 31.323 * [backup-simplify]: Simplify 1 into 1 31.324 * [backup-simplify]: Simplify (/ 1 1) into 1 31.324 * [backup-simplify]: Simplify (log 1) into 0 31.324 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.324 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.324 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 31.325 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 31.325 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 31.325 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in n 31.325 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in n 31.325 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in n 31.325 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 31.325 * [taylor]: Taking taylor expansion of 1/2 in n 31.325 * [backup-simplify]: Simplify 1/2 into 1/2 31.325 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 31.325 * [taylor]: Taking taylor expansion of 1 in n 31.325 * [backup-simplify]: Simplify 1 into 1 31.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.325 * [taylor]: Taking taylor expansion of k in n 31.325 * [backup-simplify]: Simplify k into k 31.325 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.325 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.326 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.326 * [taylor]: Taking taylor expansion of 2 in n 31.326 * [backup-simplify]: Simplify 2 into 2 31.326 * [taylor]: Taking taylor expansion of PI in n 31.326 * [backup-simplify]: Simplify PI into PI 31.326 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.327 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.327 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 31.327 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 31.327 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 31.328 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) into (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) 31.329 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 31.329 * [taylor]: Taking taylor expansion of (sqrt k) in n 31.329 * [taylor]: Taking taylor expansion of k in n 31.329 * [backup-simplify]: Simplify k into k 31.329 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 31.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 31.330 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 31.332 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) into (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) 31.332 * [taylor]: Taking taylor expansion of (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) (sqrt k)) in k 31.332 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) in k 31.332 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 31.332 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 31.332 * [taylor]: Taking taylor expansion of -1/2 in k 31.332 * [backup-simplify]: Simplify -1/2 into -1/2 31.332 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 31.332 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.332 * [taylor]: Taking taylor expansion of 1 in k 31.332 * [backup-simplify]: Simplify 1 into 1 31.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.332 * [taylor]: Taking taylor expansion of k in k 31.332 * [backup-simplify]: Simplify 0 into 0 31.332 * [backup-simplify]: Simplify 1 into 1 31.332 * [backup-simplify]: Simplify (/ 1 1) into 1 31.332 * [taylor]: Taking taylor expansion of (log n) in k 31.332 * [taylor]: Taking taylor expansion of n in k 31.333 * [backup-simplify]: Simplify n into n 31.333 * [backup-simplify]: Simplify (log n) into (log n) 31.333 * [backup-simplify]: Simplify (- 1) into -1 31.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.333 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 31.333 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 31.334 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 31.334 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) in k 31.334 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))) in k 31.334 * [taylor]: Taking taylor expansion of 1/2 in k 31.334 * [backup-simplify]: Simplify 1/2 into 1/2 31.334 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 PI))) in k 31.334 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 31.334 * [taylor]: Taking taylor expansion of 1 in k 31.334 * [backup-simplify]: Simplify 1 into 1 31.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.334 * [taylor]: Taking taylor expansion of k in k 31.334 * [backup-simplify]: Simplify 0 into 0 31.334 * [backup-simplify]: Simplify 1 into 1 31.334 * [backup-simplify]: Simplify (/ 1 1) into 1 31.334 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.334 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.334 * [taylor]: Taking taylor expansion of 2 in k 31.334 * [backup-simplify]: Simplify 2 into 2 31.334 * [taylor]: Taking taylor expansion of PI in k 31.334 * [backup-simplify]: Simplify PI into PI 31.335 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.336 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.336 * [backup-simplify]: Simplify (- 1) into -1 31.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 31.339 * [backup-simplify]: Simplify (* -1 (log (* 2 PI))) into (* -1 (log (* 2 PI))) 31.341 * [backup-simplify]: Simplify (* 1/2 (* -1 (log (* 2 PI)))) into (* -1/2 (log (* 2 PI))) 31.342 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 31.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 31.342 * [taylor]: Taking taylor expansion of k in k 31.342 * [backup-simplify]: Simplify 0 into 0 31.342 * [backup-simplify]: Simplify 1 into 1 31.342 * [backup-simplify]: Simplify (sqrt 0) into 0 31.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 31.344 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) into (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 31.345 * [backup-simplify]: Simplify (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) into 0 31.345 * [backup-simplify]: Simplify 0 into 0 31.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.347 * [backup-simplify]: Simplify (- 0) into 0 31.347 * [backup-simplify]: Simplify (+ 0 0) into 0 31.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.348 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 31.349 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 31.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.350 * [backup-simplify]: Simplify (- 0) into 0 31.351 * [backup-simplify]: Simplify (+ 0 0) into 0 31.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 31.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 31.351 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 31.352 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 31.353 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 31.353 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (* 0 (sqrt k))) into 0 31.354 * [taylor]: Taking taylor expansion of 0 in k 31.354 * [backup-simplify]: Simplify 0 into 0 31.354 * [backup-simplify]: Simplify 0 into 0 31.354 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into 0 31.355 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.356 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 31.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.359 * [backup-simplify]: Simplify (- 0) into 0 31.360 * [backup-simplify]: Simplify (+ 0 0) into 0 31.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.361 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 31.362 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 31.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.365 * [backup-simplify]: Simplify (- 0) into 0 31.365 * [backup-simplify]: Simplify (+ 0 0) into 0 31.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 31.366 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 31.367 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 31.368 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.369 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 31.370 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 31.370 * [taylor]: Taking taylor expansion of 0 in k 31.370 * [backup-simplify]: Simplify 0 into 0 31.370 * [backup-simplify]: Simplify 0 into 0 31.370 * [backup-simplify]: Simplify 0 into 0 31.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.374 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into 0 31.376 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.377 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 31.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 31.389 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 31.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.390 * [backup-simplify]: Simplify (- 0) into 0 31.390 * [backup-simplify]: Simplify (+ 0 0) into 0 31.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.392 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 31.394 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 31.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.397 * [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 31.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.398 * [backup-simplify]: Simplify (- 0) into 0 31.398 * [backup-simplify]: Simplify (+ 0 0) into 0 31.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 31.399 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 31.399 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 31.400 * [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 31.402 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 31.403 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 31.403 * [taylor]: Taking taylor expansion of 0 in k 31.403 * [backup-simplify]: Simplify 0 into 0 31.403 * [backup-simplify]: Simplify 0 into 0 31.403 * [backup-simplify]: Simplify 0 into 0 31.403 * [backup-simplify]: Simplify 0 into 0 31.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.407 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))))) into 0 31.408 * [backup-simplify]: Simplify (+ (* (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.409 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) into (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))) 31.411 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 31.412 * [backup-simplify]: Simplify (/ (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) 31.412 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (n k) around 0 31.412 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k 31.412 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in k 31.412 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 31.412 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 31.412 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 31.412 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.412 * [taylor]: Taking taylor expansion of 1/2 in k 31.412 * [backup-simplify]: Simplify 1/2 into 1/2 31.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.412 * [taylor]: Taking taylor expansion of k in k 31.412 * [backup-simplify]: Simplify 0 into 0 31.412 * [backup-simplify]: Simplify 1 into 1 31.413 * [backup-simplify]: Simplify (/ 1 1) into 1 31.413 * [taylor]: Taking taylor expansion of 1 in k 31.413 * [backup-simplify]: Simplify 1 into 1 31.413 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 31.413 * [taylor]: Taking taylor expansion of (/ -1 n) in k 31.413 * [taylor]: Taking taylor expansion of -1 in k 31.413 * [backup-simplify]: Simplify -1 into -1 31.413 * [taylor]: Taking taylor expansion of n in k 31.413 * [backup-simplify]: Simplify n into n 31.413 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 31.413 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 31.413 * [backup-simplify]: Simplify (+ 1 0) into 1 31.413 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.413 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 31.413 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 31.413 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k 31.414 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k 31.414 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k 31.414 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 31.414 * [taylor]: Taking taylor expansion of 1/2 in k 31.414 * [backup-simplify]: Simplify 1/2 into 1/2 31.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.414 * [taylor]: Taking taylor expansion of k in k 31.414 * [backup-simplify]: Simplify 0 into 0 31.414 * [backup-simplify]: Simplify 1 into 1 31.414 * [backup-simplify]: Simplify (/ 1 1) into 1 31.414 * [taylor]: Taking taylor expansion of 1 in k 31.414 * [backup-simplify]: Simplify 1 into 1 31.414 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.414 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.414 * [taylor]: Taking taylor expansion of 2 in k 31.414 * [backup-simplify]: Simplify 2 into 2 31.414 * [taylor]: Taking taylor expansion of PI in k 31.414 * [backup-simplify]: Simplify PI into PI 31.414 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.415 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.416 * [backup-simplify]: Simplify (+ 1 0) into 1 31.416 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 31.418 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 31.419 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 31.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.419 * [taylor]: Taking taylor expansion of -1 in k 31.419 * [backup-simplify]: Simplify -1 into -1 31.419 * [taylor]: Taking taylor expansion of k in k 31.419 * [backup-simplify]: Simplify 0 into 0 31.419 * [backup-simplify]: Simplify 1 into 1 31.420 * [backup-simplify]: Simplify (/ -1 1) into -1 31.420 * [backup-simplify]: Simplify (sqrt 0) into 0 31.422 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.423 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) 31.424 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) 31.424 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 31.424 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 31.424 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 31.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 31.424 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 31.424 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.424 * [taylor]: Taking taylor expansion of 1/2 in n 31.424 * [backup-simplify]: Simplify 1/2 into 1/2 31.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.425 * [taylor]: Taking taylor expansion of k in n 31.425 * [backup-simplify]: Simplify k into k 31.425 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.425 * [taylor]: Taking taylor expansion of 1 in n 31.425 * [backup-simplify]: Simplify 1 into 1 31.425 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 31.425 * [taylor]: Taking taylor expansion of (/ -1 n) in n 31.425 * [taylor]: Taking taylor expansion of -1 in n 31.425 * [backup-simplify]: Simplify -1 into -1 31.425 * [taylor]: Taking taylor expansion of n in n 31.425 * [backup-simplify]: Simplify 0 into 0 31.425 * [backup-simplify]: Simplify 1 into 1 31.425 * [backup-simplify]: Simplify (/ -1 1) into -1 31.426 * [backup-simplify]: Simplify (log -1) into (log -1) 31.426 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.426 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.427 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 31.427 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 31.428 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 31.428 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 31.428 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 31.428 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 31.428 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.428 * [taylor]: Taking taylor expansion of 1/2 in n 31.428 * [backup-simplify]: Simplify 1/2 into 1/2 31.428 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.428 * [taylor]: Taking taylor expansion of k in n 31.428 * [backup-simplify]: Simplify k into k 31.428 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.428 * [taylor]: Taking taylor expansion of 1 in n 31.428 * [backup-simplify]: Simplify 1 into 1 31.428 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.428 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.428 * [taylor]: Taking taylor expansion of 2 in n 31.428 * [backup-simplify]: Simplify 2 into 2 31.428 * [taylor]: Taking taylor expansion of PI in n 31.428 * [backup-simplify]: Simplify PI into PI 31.429 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.430 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.430 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.430 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.431 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 31.432 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 31.432 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.432 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.432 * [taylor]: Taking taylor expansion of -1 in n 31.432 * [backup-simplify]: Simplify -1 into -1 31.432 * [taylor]: Taking taylor expansion of k in n 31.432 * [backup-simplify]: Simplify k into k 31.432 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.432 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.432 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.434 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 31.436 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 31.436 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in n 31.436 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))) in n 31.436 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 31.436 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 31.436 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 31.436 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.436 * [taylor]: Taking taylor expansion of 1/2 in n 31.436 * [backup-simplify]: Simplify 1/2 into 1/2 31.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.436 * [taylor]: Taking taylor expansion of k in n 31.436 * [backup-simplify]: Simplify k into k 31.436 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.436 * [taylor]: Taking taylor expansion of 1 in n 31.436 * [backup-simplify]: Simplify 1 into 1 31.436 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 31.436 * [taylor]: Taking taylor expansion of (/ -1 n) in n 31.436 * [taylor]: Taking taylor expansion of -1 in n 31.437 * [backup-simplify]: Simplify -1 into -1 31.437 * [taylor]: Taking taylor expansion of n in n 31.437 * [backup-simplify]: Simplify 0 into 0 31.437 * [backup-simplify]: Simplify 1 into 1 31.437 * [backup-simplify]: Simplify (/ -1 1) into -1 31.437 * [backup-simplify]: Simplify (log -1) into (log -1) 31.437 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.438 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 31.439 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 31.439 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 31.439 * [taylor]: Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in n 31.439 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in n 31.439 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in n 31.440 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 31.440 * [taylor]: Taking taylor expansion of 1/2 in n 31.440 * [backup-simplify]: Simplify 1/2 into 1/2 31.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 31.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 31.440 * [taylor]: Taking taylor expansion of k in n 31.440 * [backup-simplify]: Simplify k into k 31.440 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 31.440 * [taylor]: Taking taylor expansion of 1 in n 31.440 * [backup-simplify]: Simplify 1 into 1 31.440 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in n 31.440 * [taylor]: Taking taylor expansion of (* 2 PI) in n 31.440 * [taylor]: Taking taylor expansion of 2 in n 31.440 * [backup-simplify]: Simplify 2 into 2 31.440 * [taylor]: Taking taylor expansion of PI in n 31.440 * [backup-simplify]: Simplify PI into PI 31.440 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.441 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.441 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 31.441 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 31.442 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) into (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) 31.443 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 31.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 31.443 * [taylor]: Taking taylor expansion of (/ -1 k) in n 31.443 * [taylor]: Taking taylor expansion of -1 in n 31.443 * [backup-simplify]: Simplify -1 into -1 31.443 * [taylor]: Taking taylor expansion of k in n 31.443 * [backup-simplify]: Simplify k into k 31.443 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 31.443 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 31.443 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 31.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 31.444 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 31.445 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 31.445 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) in k 31.446 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 31.446 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) in k 31.446 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))) in k 31.446 * [taylor]: Taking taylor expansion of 1/2 in k 31.446 * [backup-simplify]: Simplify 1/2 into 1/2 31.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log (* 2 PI))) in k 31.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.446 * [taylor]: Taking taylor expansion of k in k 31.446 * [backup-simplify]: Simplify 0 into 0 31.446 * [backup-simplify]: Simplify 1 into 1 31.446 * [backup-simplify]: Simplify (/ 1 1) into 1 31.446 * [taylor]: Taking taylor expansion of 1 in k 31.446 * [backup-simplify]: Simplify 1 into 1 31.446 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 31.446 * [taylor]: Taking taylor expansion of (* 2 PI) in k 31.446 * [taylor]: Taking taylor expansion of 2 in k 31.446 * [backup-simplify]: Simplify 2 into 2 31.446 * [taylor]: Taking taylor expansion of PI in k 31.446 * [backup-simplify]: Simplify PI into PI 31.446 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI) 31.447 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI)) 31.447 * [backup-simplify]: Simplify (+ 1 0) into 1 31.448 * [backup-simplify]: Simplify (* 1 (log (* 2 PI))) into (log (* 2 PI)) 31.449 * [backup-simplify]: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 31.450 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 31.450 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 31.450 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 31.450 * [taylor]: Taking taylor expansion of 1/2 in k 31.450 * [backup-simplify]: Simplify 1/2 into 1/2 31.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 31.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 31.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 31.450 * [taylor]: Taking taylor expansion of k in k 31.450 * [backup-simplify]: Simplify 0 into 0 31.450 * [backup-simplify]: Simplify 1 into 1 31.450 * [backup-simplify]: Simplify (/ 1 1) into 1 31.450 * [taylor]: Taking taylor expansion of 1 in k 31.450 * [backup-simplify]: Simplify 1 into 1 31.450 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 31.450 * [taylor]: Taking taylor expansion of (log -1) in k 31.450 * [taylor]: Taking taylor expansion of -1 in k 31.450 * [backup-simplify]: Simplify -1 into -1 31.451 * [backup-simplify]: Simplify (log -1) into (log -1) 31.451 * [taylor]: Taking taylor expansion of (log n) in k 31.451 * [taylor]: Taking taylor expansion of n in k 31.451 * [backup-simplify]: Simplify n into n 31.451 * [backup-simplify]: Simplify (log n) into (log n) 31.451 * [backup-simplify]: Simplify (+ 1 0) into 1 31.451 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 31.451 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 31.452 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 31.452 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 31.452 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 31.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 31.452 * [taylor]: Taking taylor expansion of (/ -1 k) in k 31.452 * [taylor]: Taking taylor expansion of -1 in k 31.452 * [backup-simplify]: Simplify -1 into -1 31.452 * [taylor]: Taking taylor expansion of k in k 31.452 * [backup-simplify]: Simplify 0 into 0 31.452 * [backup-simplify]: Simplify 1 into 1 31.453 * [backup-simplify]: Simplify (/ -1 1) into -1 31.453 * [backup-simplify]: Simplify (sqrt 0) into 0 31.454 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 31.455 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 31.456 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 31.457 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 31.457 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 31.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 31.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.458 * [backup-simplify]: Simplify (+ 0 0) into 0 31.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 31.459 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log (* 2 PI)))) into 0 31.461 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 31.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 31.463 * [backup-simplify]: Simplify (+ 0 0) into 0 31.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 31.463 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 31.464 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 31.465 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 31.466 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into 0 31.467 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 31.467 * [taylor]: Taking taylor expansion of 0 in k 31.467 * [backup-simplify]: Simplify 0 into 0 31.467 * [backup-simplify]: Simplify 0 into 0 31.468 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 31.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 31.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 31.472 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 31.473 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 31.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 31.476 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 31.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.477 * [backup-simplify]: Simplify (+ 0 0) into 0 31.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 31.479 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 31.481 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 31.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.486 * [backup-simplify]: Simplify (+ 0 0) into 0 31.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 31.488 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 31.489 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 31.490 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 31.492 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))) into 0 31.493 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 31.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 31.501 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 31.501 * [taylor]: Taking taylor expansion of 0 in k 31.502 * [backup-simplify]: Simplify 0 into 0 31.502 * [backup-simplify]: Simplify 0 into 0 31.502 * [backup-simplify]: Simplify 0 into 0 31.504 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 31.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 31.514 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 31.515 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 31.522 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 31.522 * * * [progress]: simplifying candidates 31.522 * * * * [progress]: [ 1 / 174 ] simplifiying candidate # 31.522 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 31.522 * * [simplify]: iters left: 6 (8 enodes) 31.527 * * [simplify]: iters left: 5 (35 enodes) 31.539 * * [simplify]: iters left: 4 (56 enodes) 31.556 * * [simplify]: iters left: 3 (70 enodes) 31.579 * * [simplify]: iters left: 2 (125 enodes) 31.624 * * [simplify]: iters left: 1 (158 enodes) 31.656 * * [simplify]: Extracting #0: cost 1 inf + 0 31.656 * * [simplify]: Extracting #1: cost 16 inf + 0 31.656 * * [simplify]: Extracting #2: cost 41 inf + 3 31.657 * * [simplify]: Extracting #3: cost 33 inf + 990 31.658 * * [simplify]: Extracting #4: cost 6 inf + 4107 31.659 * * [simplify]: Extracting #5: cost 0 inf + 5034 31.660 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 31.660 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.660 * * * * [progress]: [ 2 / 174 ] simplifiying candidate # 31.660 * * * * [progress]: [ 3 / 174 ] simplifiying candidate # 31.660 * * * * [progress]: [ 4 / 174 ] simplifiying candidate # 31.661 * [simplify]: Simplifying (pow n (/ k 2)) 31.661 * * [simplify]: iters left: 3 (5 enodes) 31.662 * * [simplify]: iters left: 2 (18 enodes) 31.665 * * [simplify]: iters left: 1 (30 enodes) 31.671 * * [simplify]: Extracting #0: cost 1 inf + 0 31.671 * * [simplify]: Extracting #1: cost 10 inf + 0 31.671 * * [simplify]: Extracting #2: cost 23 inf + 1 31.671 * * [simplify]: Extracting #3: cost 23 inf + 46 31.671 * * [simplify]: Extracting #4: cost 11 inf + 1346 31.672 * * [simplify]: Extracting #5: cost 1 inf + 3938 31.672 * * [simplify]: Extracting #6: cost 0 inf + 4111 31.673 * * [simplify]: Extracting #7: cost 0 inf + 4070 31.673 * [simplify]: Simplified to (pow n (/ k 2)) 31.673 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.673 * * * * [progress]: [ 5 / 174 ] simplifiying candidate # 31.674 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 31.674 * * [simplify]: iters left: 5 (6 enodes) 31.676 * * [simplify]: iters left: 4 (26 enodes) 31.683 * * [simplify]: iters left: 3 (35 enodes) 31.693 * * [simplify]: Extracting #0: cost 1 inf + 0 31.693 * * [simplify]: Extracting #1: cost 3 inf + 0 31.693 * * [simplify]: Extracting #2: cost 8 inf + 0 31.693 * * [simplify]: Extracting #3: cost 11 inf + 2 31.693 * * [simplify]: Extracting #4: cost 8 inf + 87 31.694 * * [simplify]: Extracting #5: cost 2 inf + 500 31.694 * * [simplify]: Extracting #6: cost 0 inf + 746 31.694 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 31.694 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.695 * * * * [progress]: [ 6 / 174 ] simplifiying candidate # 31.695 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 31.695 * * [simplify]: iters left: 5 (6 enodes) 31.699 * * [simplify]: iters left: 4 (26 enodes) 31.708 * * [simplify]: iters left: 3 (35 enodes) 31.718 * * [simplify]: Extracting #0: cost 1 inf + 0 31.718 * * [simplify]: Extracting #1: cost 3 inf + 0 31.718 * * [simplify]: Extracting #2: cost 8 inf + 0 31.718 * * [simplify]: Extracting #3: cost 11 inf + 2 31.718 * * [simplify]: Extracting #4: cost 8 inf + 87 31.719 * * [simplify]: Extracting #5: cost 2 inf + 460 31.719 * * [simplify]: Extracting #6: cost 0 inf + 666 31.719 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 31.719 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.719 * * * * [progress]: [ 7 / 174 ] simplifiying candidate # 31.720 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 31.720 * * [simplify]: iters left: 5 (7 enodes) 31.723 * * [simplify]: iters left: 4 (25 enodes) 31.728 * * [simplify]: iters left: 3 (30 enodes) 31.733 * * [simplify]: Extracting #0: cost 1 inf + 0 31.733 * * [simplify]: Extracting #1: cost 4 inf + 0 31.733 * * [simplify]: Extracting #2: cost 8 inf + 0 31.733 * * [simplify]: Extracting #3: cost 10 inf + 82 31.733 * * [simplify]: Extracting #4: cost 7 inf + 206 31.733 * * [simplify]: Extracting #5: cost 2 inf + 575 31.733 * * [simplify]: Extracting #6: cost 1 inf + 818 31.734 * * [simplify]: Extracting #7: cost 0 inf + 1061 31.734 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 31.734 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.734 * * * * [progress]: [ 8 / 174 ] simplifiying candidate # 31.734 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 31.734 * * [simplify]: iters left: 5 (7 enodes) 31.736 * * [simplify]: iters left: 4 (25 enodes) 31.744 * * [simplify]: iters left: 3 (30 enodes) 31.749 * * [simplify]: Extracting #0: cost 1 inf + 0 31.749 * * [simplify]: Extracting #1: cost 4 inf + 0 31.749 * * [simplify]: Extracting #2: cost 8 inf + 0 31.749 * * [simplify]: Extracting #3: cost 10 inf + 42 31.749 * * [simplify]: Extracting #4: cost 7 inf + 126 31.749 * * [simplify]: Extracting #5: cost 2 inf + 495 31.749 * * [simplify]: Extracting #6: cost 1 inf + 698 31.749 * * [simplify]: Extracting #7: cost 0 inf + 901 31.749 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 31.749 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.750 * * * * [progress]: [ 9 / 174 ] simplifiying candidate # 31.750 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 31.750 * * [simplify]: iters left: 5 (6 enodes) 31.752 * * [simplify]: iters left: 4 (22 enodes) 31.756 * * [simplify]: iters left: 3 (27 enodes) 31.764 * * [simplify]: Extracting #0: cost 1 inf + 0 31.764 * * [simplify]: Extracting #1: cost 4 inf + 0 31.764 * * [simplify]: Extracting #2: cost 5 inf + 1 31.764 * * [simplify]: Extracting #3: cost 9 inf + 1 31.765 * * [simplify]: Extracting #4: cost 8 inf + 3 31.765 * * [simplify]: Extracting #5: cost 4 inf + 169 31.765 * * [simplify]: Extracting #6: cost 1 inf + 576 31.765 * * [simplify]: Extracting #7: cost 0 inf + 739 31.765 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 31.765 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.766 * * * * [progress]: [ 10 / 174 ] simplifiying candidate # 31.766 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 31.766 * * [simplify]: iters left: 5 (7 enodes) 31.770 * * [simplify]: iters left: 4 (25 enodes) 31.775 * * [simplify]: iters left: 3 (30 enodes) 31.780 * * [simplify]: Extracting #0: cost 1 inf + 0 31.780 * * [simplify]: Extracting #1: cost 4 inf + 0 31.780 * * [simplify]: Extracting #2: cost 8 inf + 0 31.780 * * [simplify]: Extracting #3: cost 10 inf + 82 31.780 * * [simplify]: Extracting #4: cost 7 inf + 206 31.780 * * [simplify]: Extracting #5: cost 2 inf + 495 31.781 * * [simplify]: Extracting #6: cost 1 inf + 698 31.781 * * [simplify]: Extracting #7: cost 0 inf + 901 31.781 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 31.781 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.781 * * * * [progress]: [ 11 / 174 ] simplifiying candidate # 31.781 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 31.781 * * [simplify]: iters left: 5 (7 enodes) 31.783 * * [simplify]: iters left: 4 (25 enodes) 31.788 * * [simplify]: iters left: 3 (30 enodes) 31.793 * * [simplify]: Extracting #0: cost 1 inf + 0 31.793 * * [simplify]: Extracting #1: cost 4 inf + 0 31.793 * * [simplify]: Extracting #2: cost 8 inf + 0 31.793 * * [simplify]: Extracting #3: cost 10 inf + 42 31.793 * * [simplify]: Extracting #4: cost 7 inf + 126 31.793 * * [simplify]: Extracting #5: cost 2 inf + 415 31.794 * * [simplify]: Extracting #6: cost 1 inf + 578 31.794 * * [simplify]: Extracting #7: cost 0 inf + 741 31.794 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 31.794 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.794 * * * * [progress]: [ 12 / 174 ] simplifiying candidate # 31.794 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 31.794 * * [simplify]: iters left: 5 (6 enodes) 31.796 * * [simplify]: iters left: 4 (22 enodes) 31.800 * * [simplify]: iters left: 3 (27 enodes) 31.804 * * [simplify]: Extracting #0: cost 1 inf + 0 31.804 * * [simplify]: Extracting #1: cost 4 inf + 0 31.804 * * [simplify]: Extracting #2: cost 5 inf + 1 31.804 * * [simplify]: Extracting #3: cost 9 inf + 1 31.804 * * [simplify]: Extracting #4: cost 8 inf + 3 31.804 * * [simplify]: Extracting #5: cost 4 inf + 169 31.804 * * [simplify]: Extracting #6: cost 1 inf + 456 31.805 * * [simplify]: Extracting #7: cost 0 inf + 579 31.805 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 31.805 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.805 * * * * [progress]: [ 13 / 174 ] simplifiying candidate # 31.805 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 31.805 * * [simplify]: iters left: 4 (6 enodes) 31.807 * * [simplify]: iters left: 3 (25 enodes) 31.812 * * [simplify]: iters left: 2 (36 enodes) 31.823 * * [simplify]: iters left: 1 (40 enodes) 31.835 * * [simplify]: Extracting #0: cost 1 inf + 0 31.835 * * [simplify]: Extracting #1: cost 7 inf + 0 31.835 * * [simplify]: Extracting #2: cost 16 inf + 0 31.835 * * [simplify]: Extracting #3: cost 13 inf + 44 31.836 * * [simplify]: Extracting #4: cost 3 inf + 1103 31.836 * * [simplify]: Extracting #5: cost 0 inf + 1469 31.837 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 31.837 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.837 * * * * [progress]: [ 14 / 174 ] simplifiying candidate # 31.837 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 31.837 * * [simplify]: iters left: 4 (6 enodes) 31.842 * * [simplify]: iters left: 3 (25 enodes) 31.855 * * [simplify]: iters left: 2 (36 enodes) 31.866 * * [simplify]: iters left: 1 (40 enodes) 31.878 * * [simplify]: Extracting #0: cost 1 inf + 0 31.878 * * [simplify]: Extracting #1: cost 7 inf + 0 31.878 * * [simplify]: Extracting #2: cost 16 inf + 0 31.878 * * [simplify]: Extracting #3: cost 13 inf + 44 31.879 * * [simplify]: Extracting #4: cost 3 inf + 823 31.879 * * [simplify]: Extracting #5: cost 0 inf + 1069 31.880 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 31.880 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.880 * * * * [progress]: [ 15 / 174 ] simplifiying candidate # 31.880 * [simplify]: Simplifying (/ (- 1 k) 2) 31.880 * * [simplify]: iters left: 4 (5 enodes) 31.884 * * [simplify]: iters left: 3 (23 enodes) 31.892 * * [simplify]: iters left: 2 (32 enodes) 31.901 * * [simplify]: Extracting #0: cost 1 inf + 0 31.902 * * [simplify]: Extracting #1: cost 6 inf + 0 31.902 * * [simplify]: Extracting #2: cost 9 inf + 2 31.902 * * [simplify]: Extracting #3: cost 6 inf + 87 31.902 * * [simplify]: Extracting #4: cost 0 inf + 420 31.902 * [simplify]: Simplified to (/ (- 1 k) 2) 31.902 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.902 * * * * [progress]: [ 16 / 174 ] simplifiying candidate # 31.903 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 31.903 * * [simplify]: iters left: 5 (8 enodes) 31.908 * * [simplify]: iters left: 4 (31 enodes) 31.919 * * [simplify]: iters left: 3 (45 enodes) 31.932 * * [simplify]: iters left: 2 (51 enodes) 31.943 * * [simplify]: iters left: 1 (52 enodes) 31.950 * * [simplify]: Extracting #0: cost 1 inf + 0 31.950 * * [simplify]: Extracting #1: cost 8 inf + 0 31.950 * * [simplify]: Extracting #2: cost 18 inf + 0 31.950 * * [simplify]: Extracting #3: cost 19 inf + 2 31.950 * * [simplify]: Extracting #4: cost 9 inf + 977 31.951 * * [simplify]: Extracting #5: cost 2 inf + 1790 31.951 * * [simplify]: Extracting #6: cost 0 inf + 2195 31.951 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 31.951 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 31.952 * * * * [progress]: [ 17 / 174 ] simplifiying candidate # 31.952 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 31.952 * * [simplify]: iters left: 5 (8 enodes) 31.954 * * [simplify]: iters left: 4 (31 enodes) 31.959 * * [simplify]: iters left: 3 (45 enodes) 31.966 * * [simplify]: iters left: 2 (51 enodes) 31.979 * * [simplify]: iters left: 1 (52 enodes) 31.997 * * [simplify]: Extracting #0: cost 1 inf + 0 31.997 * * [simplify]: Extracting #1: cost 8 inf + 0 31.997 * * [simplify]: Extracting #2: cost 18 inf + 0 31.998 * * [simplify]: Extracting #3: cost 19 inf + 2 31.998 * * [simplify]: Extracting #4: cost 9 inf + 697 31.999 * * [simplify]: Extracting #5: cost 2 inf + 1390 31.999 * * [simplify]: Extracting #6: cost 0 inf + 1715 32.000 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.000 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.000 * * * * [progress]: [ 18 / 174 ] simplifiying candidate # 32.001 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 32.001 * * [simplify]: iters left: 5 (7 enodes) 32.006 * * [simplify]: iters left: 4 (29 enodes) 32.015 * * [simplify]: iters left: 3 (43 enodes) 32.026 * * [simplify]: iters left: 2 (47 enodes) 32.038 * * [simplify]: Extracting #0: cost 1 inf + 0 32.038 * * [simplify]: Extracting #1: cost 7 inf + 0 32.038 * * [simplify]: Extracting #2: cost 11 inf + 2 32.039 * * [simplify]: Extracting #3: cost 13 inf + 3 32.039 * * [simplify]: Extracting #4: cost 11 inf + 45 32.039 * * [simplify]: Extracting #5: cost 0 inf + 1066 32.039 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.039 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.040 * * * * [progress]: [ 19 / 174 ] simplifiying candidate # 32.040 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 32.040 * * [simplify]: iters left: 5 (7 enodes) 32.045 * * [simplify]: iters left: 4 (28 enodes) 32.054 * * [simplify]: iters left: 3 (39 enodes) 32.066 * * [simplify]: iters left: 2 (43 enodes) 32.078 * * [simplify]: Extracting #0: cost 1 inf + 0 32.078 * * [simplify]: Extracting #1: cost 7 inf + 0 32.078 * * [simplify]: Extracting #2: cost 16 inf + 0 32.079 * * [simplify]: Extracting #3: cost 15 inf + 164 32.079 * * [simplify]: Extracting #4: cost 13 inf + 287 32.079 * * [simplify]: Extracting #5: cost 5 inf + 1180 32.080 * * [simplify]: Extracting #6: cost 0 inf + 1951 32.080 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 32.080 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.080 * * * * [progress]: [ 20 / 174 ] simplifiying candidate # 32.081 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 32.081 * * [simplify]: iters left: 5 (7 enodes) 32.085 * * [simplify]: iters left: 4 (28 enodes) 32.095 * * [simplify]: iters left: 3 (39 enodes) 32.107 * * [simplify]: iters left: 2 (43 enodes) 32.116 * * [simplify]: Extracting #0: cost 1 inf + 0 32.116 * * [simplify]: Extracting #1: cost 7 inf + 0 32.116 * * [simplify]: Extracting #2: cost 16 inf + 0 32.116 * * [simplify]: Extracting #3: cost 15 inf + 84 32.116 * * [simplify]: Extracting #4: cost 13 inf + 167 32.116 * * [simplify]: Extracting #5: cost 5 inf + 900 32.117 * * [simplify]: Extracting #6: cost 0 inf + 1551 32.117 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 32.117 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.117 * * * * [progress]: [ 21 / 174 ] simplifiying candidate # 32.117 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 32.117 * * [simplify]: iters left: 5 (6 enodes) 32.120 * * [simplify]: iters left: 4 (26 enodes) 32.125 * * [simplify]: iters left: 3 (35 enodes) 32.133 * * [simplify]: Extracting #0: cost 1 inf + 0 32.133 * * [simplify]: Extracting #1: cost 6 inf + 0 32.133 * * [simplify]: Extracting #2: cost 9 inf + 2 32.133 * * [simplify]: Extracting #3: cost 11 inf + 3 32.134 * * [simplify]: Extracting #4: cost 10 inf + 4 32.134 * * [simplify]: Extracting #5: cost 3 inf + 535 32.134 * * [simplify]: Extracting #6: cost 0 inf + 822 32.134 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 32.134 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.134 * * * * [progress]: [ 22 / 174 ] simplifiying candidate # 32.134 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 32.134 * * [simplify]: iters left: 4 (6 enodes) 32.137 * * [simplify]: iters left: 3 (25 enodes) 32.142 * * [simplify]: iters left: 2 (36 enodes) 32.148 * * [simplify]: iters left: 1 (40 enodes) 32.154 * * [simplify]: Extracting #0: cost 1 inf + 0 32.154 * * [simplify]: Extracting #1: cost 7 inf + 0 32.154 * * [simplify]: Extracting #2: cost 16 inf + 0 32.154 * * [simplify]: Extracting #3: cost 13 inf + 44 32.154 * * [simplify]: Extracting #4: cost 3 inf + 1103 32.155 * * [simplify]: Extracting #5: cost 0 inf + 1469 32.155 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 32.155 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.155 * * * * [progress]: [ 23 / 174 ] simplifiying candidate # 32.155 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 32.155 * * [simplify]: iters left: 4 (6 enodes) 32.157 * * [simplify]: iters left: 3 (25 enodes) 32.162 * * [simplify]: iters left: 2 (36 enodes) 32.167 * * [simplify]: iters left: 1 (40 enodes) 32.174 * * [simplify]: Extracting #0: cost 1 inf + 0 32.174 * * [simplify]: Extracting #1: cost 7 inf + 0 32.174 * * [simplify]: Extracting #2: cost 16 inf + 0 32.174 * * [simplify]: Extracting #3: cost 13 inf + 44 32.174 * * [simplify]: Extracting #4: cost 3 inf + 823 32.175 * * [simplify]: Extracting #5: cost 0 inf + 1069 32.175 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 32.175 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.175 * * * * [progress]: [ 24 / 174 ] simplifiying candidate # 32.175 * [simplify]: Simplifying (/ (- 1 k) 2) 32.175 * * [simplify]: iters left: 4 (5 enodes) 32.177 * * [simplify]: iters left: 3 (23 enodes) 32.182 * * [simplify]: iters left: 2 (32 enodes) 32.191 * * [simplify]: Extracting #0: cost 1 inf + 0 32.191 * * [simplify]: Extracting #1: cost 6 inf + 0 32.191 * * [simplify]: Extracting #2: cost 9 inf + 2 32.191 * * [simplify]: Extracting #3: cost 6 inf + 87 32.191 * * [simplify]: Extracting #4: cost 0 inf + 420 32.191 * [simplify]: Simplified to (/ (- 1 k) 2) 32.191 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.192 * * * * [progress]: [ 25 / 174 ] simplifiying candidate # 32.192 * [simplify]: Simplifying (/ (- 1 k) 2) 32.192 * * [simplify]: iters left: 4 (5 enodes) 32.196 * * [simplify]: iters left: 3 (23 enodes) 32.204 * * [simplify]: iters left: 2 (32 enodes) 32.212 * * [simplify]: Extracting #0: cost 1 inf + 0 32.212 * * [simplify]: Extracting #1: cost 6 inf + 0 32.212 * * [simplify]: Extracting #2: cost 9 inf + 2 32.213 * * [simplify]: Extracting #3: cost 6 inf + 87 32.213 * * [simplify]: Extracting #4: cost 0 inf + 420 32.213 * [simplify]: Simplified to (/ (- 1 k) 2) 32.213 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.213 * * * * [progress]: [ 26 / 174 ] simplifiying candidate # 32.213 * [simplify]: Simplifying (/ 1 2) 32.213 * * [simplify]: iters left: 2 (3 enodes) 32.215 * * [simplify]: iters left: 1 (12 enodes) 32.217 * * [simplify]: Extracting #0: cost 1 inf + 0 32.218 * * [simplify]: Extracting #1: cost 0 inf + 1 32.218 * [simplify]: Simplified to 1/2 32.218 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (- 1 k)) 1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.218 * * * * [progress]: [ 27 / 174 ] simplifiying candidate # 32.218 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 32.218 * * [simplify]: iters left: 5 (9 enodes) 32.221 * * [simplify]: iters left: 4 (38 enodes) 32.228 * * [simplify]: iters left: 3 (63 enodes) 32.242 * * [simplify]: iters left: 2 (98 enodes) 32.272 * * [simplify]: iters left: 1 (167 enodes) 32.315 * * [simplify]: Extracting #0: cost 1 inf + 0 32.315 * * [simplify]: Extracting #1: cost 13 inf + 0 32.315 * * [simplify]: Extracting #2: cost 54 inf + 1 32.316 * * [simplify]: Extracting #3: cost 87 inf + 5 32.316 * * [simplify]: Extracting #4: cost 68 inf + 1334 32.317 * * [simplify]: Extracting #5: cost 40 inf + 5047 32.320 * * [simplify]: Extracting #6: cost 11 inf + 17686 32.327 * * [simplify]: Extracting #7: cost 0 inf + 25802 32.334 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 32.334 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.334 * * * * [progress]: [ 28 / 174 ] simplifiying candidate # 32.334 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 32.334 * * [simplify]: iters left: 5 (8 enodes) 32.340 * * [simplify]: iters left: 4 (35 enodes) 32.353 * * [simplify]: iters left: 3 (56 enodes) 32.364 * * [simplify]: iters left: 2 (89 enodes) 32.382 * * [simplify]: iters left: 1 (175 enodes) 32.417 * * [simplify]: Extracting #0: cost 1 inf + 0 32.417 * * [simplify]: Extracting #1: cost 13 inf + 0 32.417 * * [simplify]: Extracting #2: cost 53 inf + 1 32.418 * * [simplify]: Extracting #3: cost 83 inf + 47 32.418 * * [simplify]: Extracting #4: cost 66 inf + 2084 32.420 * * [simplify]: Extracting #5: cost 25 inf + 7926 32.422 * * [simplify]: Extracting #6: cost 3 inf + 20905 32.425 * * [simplify]: Extracting #7: cost 0 inf + 22641 32.431 * * [simplify]: Extracting #8: cost 0 inf + 22420 32.434 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 32.434 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.435 * * * * [progress]: [ 29 / 174 ] simplifiying candidate # 32.435 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 32.435 * * [simplify]: iters left: 5 (6 enodes) 32.437 * * [simplify]: iters left: 4 (24 enodes) 32.442 * * [simplify]: iters left: 3 (33 enodes) 32.448 * * [simplify]: Extracting #0: cost 1 inf + 0 32.448 * * [simplify]: Extracting #1: cost 0 inf + 1 32.448 * [simplify]: Simplified to 1 32.448 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 32.448 * * * * [progress]: [ 30 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 31 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 32 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 33 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 34 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 35 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 36 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 37 / 174 ] simplifiying candidate # 32.448 * * * * [progress]: [ 38 / 174 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))> 32.448 * * * * [progress]: [ 39 / 174 ] simplifiying candidate # 32.448 * [simplify]: Simplifying (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) 32.449 * * [simplify]: iters left: 6 (10 enodes) 32.452 * * [simplify]: iters left: 5 (42 enodes) 32.459 * * [simplify]: iters left: 4 (71 enodes) 32.474 * * [simplify]: iters left: 3 (121 enodes) 32.509 * * [simplify]: iters left: 2 (242 enodes) 32.584 * * [simplify]: iters left: 1 (470 enodes) 33.206 * * [simplify]: Extracting #0: cost 1 inf + 0 33.206 * * [simplify]: Extracting #1: cost 30 inf + 0 33.206 * * [simplify]: Extracting #2: cost 100 inf + 3 33.207 * * [simplify]: Extracting #3: cost 120 inf + 963 33.210 * * [simplify]: Extracting #4: cost 77 inf + 6855 33.218 * * [simplify]: Extracting #5: cost 12 inf + 21866 33.229 * * [simplify]: Extracting #6: cost 0 inf + 24423 33.240 * [simplify]: Simplified to (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) 33.240 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (exp (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2))) (sqrt k))) 33.240 * * * * [progress]: [ 40 / 174 ] simplifiying candidate # 33.241 * [simplify]: Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2)) 33.241 * * [simplify]: iters left: 6 (9 enodes) 33.247 * * [simplify]: iters left: 5 (42 enodes) 33.261 * * [simplify]: iters left: 4 (74 enodes) 33.285 * * [simplify]: iters left: 3 (126 enodes) 33.309 * * [simplify]: iters left: 2 (247 enodes) 33.423 * * [simplify]: iters left: 1 (476 enodes) 33.576 * * [simplify]: Extracting #0: cost 1 inf + 0 33.576 * * [simplify]: Extracting #1: cost 30 inf + 0 33.577 * * [simplify]: Extracting #2: cost 101 inf + 3 33.577 * * [simplify]: Extracting #3: cost 128 inf + 242 33.578 * * [simplify]: Extracting #4: cost 87 inf + 5433 33.582 * * [simplify]: Extracting #5: cost 20 inf + 18250 33.587 * * [simplify]: Extracting #6: cost 1 inf + 22360 33.592 * * [simplify]: Extracting #7: cost 0 inf + 22617 33.600 * [simplify]: Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) 33.601 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))) (sqrt k))) 33.601 * * * * [progress]: [ 41 / 174 ] simplifiying candidate # 33.601 * * * * [progress]: [ 42 / 174 ] simplifiying candidate # 33.601 * [simplify]: Simplifying (* 2 PI) 33.601 * * [simplify]: iters left: 2 (3 enodes) 33.603 * * [simplify]: iters left: 1 (10 enodes) 33.607 * * [simplify]: Extracting #0: cost 1 inf + 0 33.607 * * [simplify]: Extracting #1: cost 4 inf + 0 33.607 * * [simplify]: Extracting #2: cost 2 inf + 2 33.607 * * [simplify]: Extracting #3: cost 0 inf + 86 33.607 * [simplify]: Simplified to (* 2 PI) 33.607 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (sqrt k))) 33.607 * * * * [progress]: [ 43 / 174 ] simplifiying candidate # 33.608 * [simplify]: Simplifying (* 2 PI) 33.608 * * [simplify]: iters left: 2 (3 enodes) 33.609 * * [simplify]: iters left: 1 (10 enodes) 33.612 * * [simplify]: Extracting #0: cost 1 inf + 0 33.613 * * [simplify]: Extracting #1: cost 4 inf + 0 33.613 * * [simplify]: Extracting #2: cost 2 inf + 2 33.613 * * [simplify]: Extracting #3: cost 0 inf + 86 33.613 * [simplify]: Simplified to (* 2 PI) 33.613 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (sqrt k))) 33.613 * * * * [progress]: [ 44 / 174 ] simplifiying candidate # 33.613 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 33.613 * * [simplify]: iters left: 3 (6 enodes) 33.616 * * [simplify]: iters left: 2 (22 enodes) 33.624 * * [simplify]: iters left: 1 (34 enodes) 33.635 * * [simplify]: Extracting #0: cost 1 inf + 0 33.635 * * [simplify]: Extracting #1: cost 10 inf + 0 33.635 * * [simplify]: Extracting #2: cost 26 inf + 0 33.635 * * [simplify]: Extracting #3: cost 23 inf + 128 33.636 * * [simplify]: Extracting #4: cost 10 inf + 1713 33.636 * * [simplify]: Extracting #5: cost 0 inf + 4919 33.637 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 33.637 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (sqrt k))) 33.637 * * * * [progress]: [ 45 / 174 ] simplifiying candidate # 33.637 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 33.637 * * [simplify]: iters left: 5 (6 enodes) 33.639 * * [simplify]: iters left: 4 (26 enodes) 33.644 * * [simplify]: iters left: 3 (35 enodes) 33.650 * * [simplify]: Extracting #0: cost 1 inf + 0 33.650 * * [simplify]: Extracting #1: cost 3 inf + 0 33.650 * * [simplify]: Extracting #2: cost 8 inf + 0 33.650 * * [simplify]: Extracting #3: cost 11 inf + 2 33.650 * * [simplify]: Extracting #4: cost 8 inf + 87 33.650 * * [simplify]: Extracting #5: cost 2 inf + 500 33.650 * * [simplify]: Extracting #6: cost 0 inf + 746 33.650 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 33.650 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (sqrt k))) 33.650 * * * * [progress]: [ 46 / 174 ] simplifiying candidate # 33.651 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 33.651 * * [simplify]: iters left: 5 (6 enodes) 33.653 * * [simplify]: iters left: 4 (26 enodes) 33.657 * * [simplify]: iters left: 3 (35 enodes) 33.667 * * [simplify]: Extracting #0: cost 1 inf + 0 33.667 * * [simplify]: Extracting #1: cost 3 inf + 0 33.667 * * [simplify]: Extracting #2: cost 8 inf + 0 33.668 * * [simplify]: Extracting #3: cost 11 inf + 2 33.668 * * [simplify]: Extracting #4: cost 8 inf + 87 33.668 * * [simplify]: Extracting #5: cost 2 inf + 460 33.671 * * [simplify]: Extracting #6: cost 0 inf + 666 33.672 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 33.672 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (sqrt k))) 33.672 * * * * [progress]: [ 47 / 174 ] simplifiying candidate # 33.672 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 33.672 * * [simplify]: iters left: 5 (7 enodes) 33.676 * * [simplify]: iters left: 4 (25 enodes) 33.680 * * [simplify]: iters left: 3 (30 enodes) 33.686 * * [simplify]: Extracting #0: cost 1 inf + 0 33.686 * * [simplify]: Extracting #1: cost 4 inf + 0 33.686 * * [simplify]: Extracting #2: cost 8 inf + 0 33.686 * * [simplify]: Extracting #3: cost 10 inf + 82 33.686 * * [simplify]: Extracting #4: cost 7 inf + 206 33.686 * * [simplify]: Extracting #5: cost 2 inf + 575 33.686 * * [simplify]: Extracting #6: cost 1 inf + 818 33.686 * * [simplify]: Extracting #7: cost 0 inf + 1061 33.687 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 33.687 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))) (sqrt k))) 33.687 * * * * [progress]: [ 48 / 174 ] simplifiying candidate # 33.687 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 33.687 * * [simplify]: iters left: 5 (7 enodes) 33.689 * * [simplify]: iters left: 4 (25 enodes) 33.694 * * [simplify]: iters left: 3 (30 enodes) 33.699 * * [simplify]: Extracting #0: cost 1 inf + 0 33.699 * * [simplify]: Extracting #1: cost 4 inf + 0 33.699 * * [simplify]: Extracting #2: cost 8 inf + 0 33.699 * * [simplify]: Extracting #3: cost 10 inf + 42 33.699 * * [simplify]: Extracting #4: cost 7 inf + 126 33.699 * * [simplify]: Extracting #5: cost 2 inf + 495 33.699 * * [simplify]: Extracting #6: cost 1 inf + 698 33.699 * * [simplify]: Extracting #7: cost 0 inf + 901 33.700 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 33.700 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))) (sqrt k))) 33.700 * * * * [progress]: [ 49 / 174 ] simplifiying candidate # 33.700 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 33.700 * * [simplify]: iters left: 5 (6 enodes) 33.702 * * [simplify]: iters left: 4 (22 enodes) 33.709 * * [simplify]: iters left: 3 (27 enodes) 33.717 * * [simplify]: Extracting #0: cost 1 inf + 0 33.717 * * [simplify]: Extracting #1: cost 4 inf + 0 33.717 * * [simplify]: Extracting #2: cost 5 inf + 1 33.717 * * [simplify]: Extracting #3: cost 9 inf + 1 33.718 * * [simplify]: Extracting #4: cost 8 inf + 3 33.718 * * [simplify]: Extracting #5: cost 4 inf + 169 33.718 * * [simplify]: Extracting #6: cost 1 inf + 576 33.718 * * [simplify]: Extracting #7: cost 0 inf + 739 33.718 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 33.718 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))) (sqrt k))) 33.719 * * * * [progress]: [ 50 / 174 ] simplifiying candidate # 33.719 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 33.719 * * [simplify]: iters left: 5 (7 enodes) 33.724 * * [simplify]: iters left: 4 (25 enodes) 33.732 * * [simplify]: iters left: 3 (30 enodes) 33.742 * * [simplify]: Extracting #0: cost 1 inf + 0 33.742 * * [simplify]: Extracting #1: cost 4 inf + 0 33.742 * * [simplify]: Extracting #2: cost 8 inf + 0 33.742 * * [simplify]: Extracting #3: cost 10 inf + 82 33.742 * * [simplify]: Extracting #4: cost 7 inf + 206 33.743 * * [simplify]: Extracting #5: cost 2 inf + 495 33.743 * * [simplify]: Extracting #6: cost 1 inf + 698 33.743 * * [simplify]: Extracting #7: cost 0 inf + 901 33.744 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 33.744 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))) (sqrt k))) 33.744 * * * * [progress]: [ 51 / 174 ] simplifiying candidate # 33.744 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 33.744 * * [simplify]: iters left: 5 (7 enodes) 33.749 * * [simplify]: iters left: 4 (25 enodes) 33.758 * * [simplify]: iters left: 3 (30 enodes) 33.768 * * [simplify]: Extracting #0: cost 1 inf + 0 33.768 * * [simplify]: Extracting #1: cost 4 inf + 0 33.768 * * [simplify]: Extracting #2: cost 8 inf + 0 33.768 * * [simplify]: Extracting #3: cost 10 inf + 42 33.768 * * [simplify]: Extracting #4: cost 7 inf + 126 33.768 * * [simplify]: Extracting #5: cost 2 inf + 415 33.768 * * [simplify]: Extracting #6: cost 1 inf + 578 33.769 * * [simplify]: Extracting #7: cost 0 inf + 741 33.769 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 33.769 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))) (sqrt k))) 33.769 * * * * [progress]: [ 52 / 174 ] simplifiying candidate # 33.770 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 33.770 * * [simplify]: iters left: 5 (6 enodes) 33.774 * * [simplify]: iters left: 4 (22 enodes) 33.780 * * [simplify]: iters left: 3 (27 enodes) 33.784 * * [simplify]: Extracting #0: cost 1 inf + 0 33.784 * * [simplify]: Extracting #1: cost 4 inf + 0 33.785 * * [simplify]: Extracting #2: cost 5 inf + 1 33.785 * * [simplify]: Extracting #3: cost 9 inf + 1 33.785 * * [simplify]: Extracting #4: cost 8 inf + 3 33.785 * * [simplify]: Extracting #5: cost 4 inf + 169 33.785 * * [simplify]: Extracting #6: cost 1 inf + 456 33.785 * * [simplify]: Extracting #7: cost 0 inf + 579 33.785 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 33.785 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))) (sqrt k))) 33.785 * * * * [progress]: [ 53 / 174 ] simplifiying candidate # 33.785 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 33.785 * * [simplify]: iters left: 4 (6 enodes) 33.788 * * [simplify]: iters left: 3 (25 enodes) 33.792 * * [simplify]: iters left: 2 (36 enodes) 33.801 * * [simplify]: iters left: 1 (40 enodes) 33.807 * * [simplify]: Extracting #0: cost 1 inf + 0 33.807 * * [simplify]: Extracting #1: cost 7 inf + 0 33.807 * * [simplify]: Extracting #2: cost 16 inf + 0 33.807 * * [simplify]: Extracting #3: cost 13 inf + 44 33.807 * * [simplify]: Extracting #4: cost 3 inf + 1103 33.807 * * [simplify]: Extracting #5: cost 0 inf + 1469 33.807 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 33.807 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (sqrt k))) 33.808 * * * * [progress]: [ 54 / 174 ] simplifiying candidate # 33.808 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 33.808 * * [simplify]: iters left: 4 (6 enodes) 33.810 * * [simplify]: iters left: 3 (25 enodes) 33.814 * * [simplify]: iters left: 2 (36 enodes) 33.820 * * [simplify]: iters left: 1 (40 enodes) 33.826 * * [simplify]: Extracting #0: cost 1 inf + 0 33.826 * * [simplify]: Extracting #1: cost 7 inf + 0 33.826 * * [simplify]: Extracting #2: cost 16 inf + 0 33.826 * * [simplify]: Extracting #3: cost 13 inf + 44 33.826 * * [simplify]: Extracting #4: cost 3 inf + 823 33.826 * * [simplify]: Extracting #5: cost 0 inf + 1069 33.826 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 33.827 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (sqrt k))) 33.827 * * * * [progress]: [ 55 / 174 ] simplifiying candidate # 33.827 * [simplify]: Simplifying (/ (- 1 k) 2) 33.827 * * [simplify]: iters left: 4 (5 enodes) 33.829 * * [simplify]: iters left: 3 (23 enodes) 33.833 * * [simplify]: iters left: 2 (32 enodes) 33.838 * * [simplify]: Extracting #0: cost 1 inf + 0 33.838 * * [simplify]: Extracting #1: cost 6 inf + 0 33.838 * * [simplify]: Extracting #2: cost 9 inf + 2 33.838 * * [simplify]: Extracting #3: cost 6 inf + 87 33.838 * * [simplify]: Extracting #4: cost 0 inf + 420 33.838 * [simplify]: Simplified to (/ (- 1 k) 2) 33.838 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (sqrt k))) 33.838 * * * * [progress]: [ 56 / 174 ] simplifiying candidate # 33.839 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 33.839 * * [simplify]: iters left: 5 (8 enodes) 33.841 * * [simplify]: iters left: 4 (31 enodes) 33.850 * * [simplify]: iters left: 3 (45 enodes) 33.861 * * [simplify]: iters left: 2 (51 enodes) 33.874 * * [simplify]: iters left: 1 (52 enodes) 33.884 * * [simplify]: Extracting #0: cost 1 inf + 0 33.884 * * [simplify]: Extracting #1: cost 8 inf + 0 33.884 * * [simplify]: Extracting #2: cost 18 inf + 0 33.884 * * [simplify]: Extracting #3: cost 19 inf + 2 33.884 * * [simplify]: Extracting #4: cost 9 inf + 977 33.885 * * [simplify]: Extracting #5: cost 2 inf + 1790 33.885 * * [simplify]: Extracting #6: cost 0 inf + 2195 33.885 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 33.886 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (sqrt k))) 33.886 * * * * [progress]: [ 57 / 174 ] simplifiying candidate # 33.886 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 33.886 * * [simplify]: iters left: 5 (8 enodes) 33.889 * * [simplify]: iters left: 4 (31 enodes) 33.894 * * [simplify]: iters left: 3 (45 enodes) 33.905 * * [simplify]: iters left: 2 (51 enodes) 33.912 * * [simplify]: iters left: 1 (52 enodes) 33.919 * * [simplify]: Extracting #0: cost 1 inf + 0 33.919 * * [simplify]: Extracting #1: cost 8 inf + 0 33.919 * * [simplify]: Extracting #2: cost 18 inf + 0 33.919 * * [simplify]: Extracting #3: cost 19 inf + 2 33.919 * * [simplify]: Extracting #4: cost 9 inf + 697 33.920 * * [simplify]: Extracting #5: cost 2 inf + 1390 33.920 * * [simplify]: Extracting #6: cost 0 inf + 1715 33.920 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 33.920 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (sqrt k))) 33.921 * * * * [progress]: [ 58 / 174 ] simplifiying candidate # 33.921 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 33.921 * * [simplify]: iters left: 5 (7 enodes) 33.923 * * [simplify]: iters left: 4 (29 enodes) 33.930 * * [simplify]: iters left: 3 (43 enodes) 33.941 * * [simplify]: iters left: 2 (47 enodes) 33.953 * * [simplify]: Extracting #0: cost 1 inf + 0 33.953 * * [simplify]: Extracting #1: cost 7 inf + 0 33.953 * * [simplify]: Extracting #2: cost 11 inf + 2 33.953 * * [simplify]: Extracting #3: cost 13 inf + 3 33.953 * * [simplify]: Extracting #4: cost 11 inf + 45 33.954 * * [simplify]: Extracting #5: cost 0 inf + 1066 33.954 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 33.954 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 33.954 * * * * [progress]: [ 59 / 174 ] simplifiying candidate # 33.955 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 33.955 * * [simplify]: iters left: 5 (7 enodes) 33.959 * * [simplify]: iters left: 4 (28 enodes) 33.969 * * [simplify]: iters left: 3 (39 enodes) 33.981 * * [simplify]: iters left: 2 (43 enodes) 33.994 * * [simplify]: Extracting #0: cost 1 inf + 0 33.994 * * [simplify]: Extracting #1: cost 7 inf + 0 33.994 * * [simplify]: Extracting #2: cost 16 inf + 0 33.994 * * [simplify]: Extracting #3: cost 15 inf + 164 33.995 * * [simplify]: Extracting #4: cost 13 inf + 287 33.995 * * [simplify]: Extracting #5: cost 5 inf + 1180 33.995 * * [simplify]: Extracting #6: cost 0 inf + 1951 33.996 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 33.996 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))) (sqrt k))) 33.996 * * * * [progress]: [ 60 / 174 ] simplifiying candidate # 33.997 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 33.997 * * [simplify]: iters left: 5 (7 enodes) 34.001 * * [simplify]: iters left: 4 (28 enodes) 34.010 * * [simplify]: iters left: 3 (39 enodes) 34.023 * * [simplify]: iters left: 2 (43 enodes) 34.038 * * [simplify]: Extracting #0: cost 1 inf + 0 34.038 * * [simplify]: Extracting #1: cost 7 inf + 0 34.038 * * [simplify]: Extracting #2: cost 16 inf + 0 34.038 * * [simplify]: Extracting #3: cost 15 inf + 84 34.038 * * [simplify]: Extracting #4: cost 13 inf + 167 34.039 * * [simplify]: Extracting #5: cost 5 inf + 900 34.039 * * [simplify]: Extracting #6: cost 0 inf + 1551 34.040 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 34.040 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))) (sqrt k))) 34.040 * * * * [progress]: [ 61 / 174 ] simplifiying candidate # 34.040 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 34.041 * * [simplify]: iters left: 5 (6 enodes) 34.045 * * [simplify]: iters left: 4 (26 enodes) 34.053 * * [simplify]: iters left: 3 (35 enodes) 34.061 * * [simplify]: Extracting #0: cost 1 inf + 0 34.062 * * [simplify]: Extracting #1: cost 6 inf + 0 34.062 * * [simplify]: Extracting #2: cost 9 inf + 2 34.062 * * [simplify]: Extracting #3: cost 11 inf + 3 34.062 * * [simplify]: Extracting #4: cost 10 inf + 4 34.062 * * [simplify]: Extracting #5: cost 3 inf + 535 34.062 * * [simplify]: Extracting #6: cost 0 inf + 822 34.062 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 34.062 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))) (sqrt k))) 34.062 * * * * [progress]: [ 62 / 174 ] simplifiying candidate # 34.063 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 34.063 * * [simplify]: iters left: 4 (6 enodes) 34.065 * * [simplify]: iters left: 3 (25 enodes) 34.069 * * [simplify]: iters left: 2 (36 enodes) 34.076 * * [simplify]: iters left: 1 (40 enodes) 34.082 * * [simplify]: Extracting #0: cost 1 inf + 0 34.082 * * [simplify]: Extracting #1: cost 7 inf + 0 34.082 * * [simplify]: Extracting #2: cost 16 inf + 0 34.082 * * [simplify]: Extracting #3: cost 13 inf + 44 34.082 * * [simplify]: Extracting #4: cost 3 inf + 1103 34.083 * * [simplify]: Extracting #5: cost 0 inf + 1469 34.083 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 34.083 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))) (sqrt k))) 34.083 * * * * [progress]: [ 63 / 174 ] simplifiying candidate # 34.083 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 34.083 * * [simplify]: iters left: 4 (6 enodes) 34.086 * * [simplify]: iters left: 3 (25 enodes) 34.090 * * [simplify]: iters left: 2 (36 enodes) 34.097 * * [simplify]: iters left: 1 (40 enodes) 34.109 * * [simplify]: Extracting #0: cost 1 inf + 0 34.109 * * [simplify]: Extracting #1: cost 7 inf + 0 34.109 * * [simplify]: Extracting #2: cost 16 inf + 0 34.109 * * [simplify]: Extracting #3: cost 13 inf + 44 34.109 * * [simplify]: Extracting #4: cost 3 inf + 823 34.110 * * [simplify]: Extracting #5: cost 0 inf + 1069 34.110 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 34.110 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))) (sqrt k))) 34.110 * * * * [progress]: [ 64 / 174 ] simplifiying candidate # 34.111 * [simplify]: Simplifying (/ (- 1 k) 2) 34.111 * * [simplify]: iters left: 4 (5 enodes) 34.115 * * [simplify]: iters left: 3 (23 enodes) 34.122 * * [simplify]: iters left: 2 (32 enodes) 34.132 * * [simplify]: Extracting #0: cost 1 inf + 0 34.132 * * [simplify]: Extracting #1: cost 6 inf + 0 34.132 * * [simplify]: Extracting #2: cost 9 inf + 2 34.132 * * [simplify]: Extracting #3: cost 6 inf + 87 34.133 * * [simplify]: Extracting #4: cost 0 inf + 420 34.133 * [simplify]: Simplified to (/ (- 1 k) 2) 34.133 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (/ 1 1)) (/ (- 1 k) 2))) (sqrt k))) 34.133 * * * * [progress]: [ 65 / 174 ] simplifiying candidate # 34.133 * [simplify]: Simplifying (/ (- 1 k) 2) 34.133 * * [simplify]: iters left: 4 (5 enodes) 34.138 * * [simplify]: iters left: 3 (23 enodes) 34.146 * * [simplify]: iters left: 2 (32 enodes) 34.156 * * [simplify]: Extracting #0: cost 1 inf + 0 34.156 * * [simplify]: Extracting #1: cost 6 inf + 0 34.156 * * [simplify]: Extracting #2: cost 9 inf + 2 34.156 * * [simplify]: Extracting #3: cost 6 inf + 87 34.156 * * [simplify]: Extracting #4: cost 0 inf + 420 34.156 * [simplify]: Simplified to (/ (- 1 k) 2) 34.156 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (sqrt k))) 34.157 * * * * [progress]: [ 66 / 174 ] simplifiying candidate # 34.157 * [simplify]: Simplifying (/ 1 2) 34.157 * * [simplify]: iters left: 2 (3 enodes) 34.160 * * [simplify]: iters left: 1 (12 enodes) 34.166 * * [simplify]: Extracting #0: cost 1 inf + 0 34.166 * * [simplify]: Extracting #1: cost 0 inf + 1 34.166 * [simplify]: Simplified to 1/2 34.167 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (pow (* 2 PI) (- 1 k)) 1/2)) (sqrt k))) 34.167 * * * * [progress]: [ 67 / 174 ] simplifiying candidate # 34.167 * [simplify]: Simplifying (pow 2 (/ (- 1 k) 2)) 34.167 * * [simplify]: iters left: 5 (6 enodes) 34.171 * * [simplify]: iters left: 4 (29 enodes) 34.182 * * [simplify]: iters left: 3 (54 enodes) 34.194 * * [simplify]: iters left: 2 (85 enodes) 34.210 * * [simplify]: iters left: 1 (153 enodes) 34.267 * * [simplify]: Extracting #0: cost 1 inf + 0 34.268 * * [simplify]: Extracting #1: cost 13 inf + 0 34.268 * * [simplify]: Extracting #2: cost 51 inf + 2 34.268 * * [simplify]: Extracting #3: cost 84 inf + 5 34.270 * * [simplify]: Extracting #4: cost 54 inf + 3194 34.272 * * [simplify]: Extracting #5: cost 29 inf + 7327 34.277 * * [simplify]: Extracting #6: cost 12 inf + 15002 34.282 * * [simplify]: Extracting #7: cost 0 inf + 23100 34.291 * * [simplify]: Extracting #8: cost 0 inf + 22969 34.297 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 34.297 * [simplify]: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 34.298 * * * * [progress]: [ 68 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 69 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 70 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 71 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 72 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 73 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 74 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 75 / 174 ] simplifiying candidate # 34.298 * * * * [progress]: [ 76 / 174 ] simplifiying candidate #real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k)))> 34.298 * * * * [progress]: [ 77 / 174 ] simplifiying candidate # 34.298 * [simplify]: Simplifying (* n (* 2 PI)) 34.299 * * [simplify]: iters left: 4 (5 enodes) 34.302 * * [simplify]: iters left: 3 (19 enodes) 34.308 * * [simplify]: iters left: 2 (27 enodes) 34.316 * * [simplify]: iters left: 1 (32 enodes) 34.324 * * [simplify]: Extracting #0: cost 1 inf + 0 34.324 * * [simplify]: Extracting #1: cost 8 inf + 0 34.324 * * [simplify]: Extracting #2: cost 7 inf + 45 34.324 * * [simplify]: Extracting #3: cost 0 inf + 421 34.325 * [simplify]: Simplified to (* (* PI 2) n) 34.325 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 34.325 * [simplify]: Simplifying (/ (- 1 k) 2) 34.325 * * [simplify]: iters left: 4 (5 enodes) 34.329 * * [simplify]: iters left: 3 (23 enodes) 34.337 * * [simplify]: iters left: 2 (32 enodes) 34.346 * * [simplify]: Extracting #0: cost 1 inf + 0 34.346 * * [simplify]: Extracting #1: cost 6 inf + 0 34.347 * * [simplify]: Extracting #2: cost 9 inf + 2 34.347 * * [simplify]: Extracting #3: cost 6 inf + 87 34.347 * * [simplify]: Extracting #4: cost 0 inf + 420 34.347 * [simplify]: Simplified to (/ (- 1 k) 2) 34.347 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 34.347 * * * * [progress]: [ 78 / 174 ] simplifiying candidate # 34.347 * * * * [progress]: [ 79 / 174 ] simplifiying candidate # 34.348 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 34.348 * * [simplify]: iters left: 6 (14 enodes) 34.356 * * [simplify]: iters left: 5 (60 enodes) 34.368 * * [simplify]: iters left: 4 (111 enodes) 34.389 * * [simplify]: iters left: 3 (221 enodes) 34.475 * * [simplify]: iters left: 2 (489 enodes) 34.696 * * [simplify]: Extracting #0: cost 1 inf + 0 34.696 * * [simplify]: Extracting #1: cost 20 inf + 0 34.697 * * [simplify]: Extracting #2: cost 129 inf + 2 34.699 * * [simplify]: Extracting #3: cost 242 inf + 324 34.704 * * [simplify]: Extracting #4: cost 176 inf + 16226 34.724 * * [simplify]: Extracting #5: cost 34 inf + 57304 34.743 * * [simplify]: Extracting #6: cost 0 inf + 69928 34.756 * [simplify]: Simplified to (/ (+ (log 2) (+ (log n) (log PI))) (/ 2 (- 1 k))) 34.756 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (+ (log 2) (+ (log n) (log PI))) (/ 2 (- 1 k)))) (sqrt k))) 34.756 * * * * [progress]: [ 80 / 174 ] simplifiying candidate # 34.756 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 34.756 * * [simplify]: iters left: 6 (13 enodes) 34.761 * * [simplify]: iters left: 5 (60 enodes) 34.779 * * [simplify]: iters left: 4 (112 enodes) 34.817 * * [simplify]: iters left: 3 (208 enodes) 34.862 * * [simplify]: iters left: 2 (477 enodes) 35.086 * * [simplify]: Extracting #0: cost 1 inf + 0 35.086 * * [simplify]: Extracting #1: cost 22 inf + 0 35.087 * * [simplify]: Extracting #2: cost 134 inf + 2 35.089 * * [simplify]: Extracting #3: cost 258 inf + 353 35.093 * * [simplify]: Extracting #4: cost 205 inf + 10199 35.107 * * [simplify]: Extracting #5: cost 50 inf + 52894 35.121 * * [simplify]: Extracting #6: cost 0 inf + 69190 35.139 * * [simplify]: Extracting #7: cost 0 inf + 69069 35.165 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) 35.165 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2))))) (sqrt k))) 35.166 * * * * [progress]: [ 81 / 174 ] simplifiying candidate # 35.166 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 35.166 * * [simplify]: iters left: 6 (13 enodes) 35.175 * * [simplify]: iters left: 5 (60 enodes) 35.195 * * [simplify]: iters left: 4 (112 enodes) 35.221 * * [simplify]: iters left: 3 (208 enodes) 35.281 * * [simplify]: iters left: 2 (477 enodes) 35.457 * * [simplify]: Extracting #0: cost 1 inf + 0 35.457 * * [simplify]: Extracting #1: cost 22 inf + 0 35.458 * * [simplify]: Extracting #2: cost 134 inf + 2 35.459 * * [simplify]: Extracting #3: cost 258 inf + 353 35.461 * * [simplify]: Extracting #4: cost 205 inf + 10199 35.473 * * [simplify]: Extracting #5: cost 50 inf + 52894 35.504 * * [simplify]: Extracting #6: cost 0 inf + 69190 35.531 * * [simplify]: Extracting #7: cost 0 inf + 69069 35.557 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) 35.557 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2))))) (sqrt k))) 35.557 * * * * [progress]: [ 82 / 174 ] simplifiying candidate # 35.558 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 35.558 * * [simplify]: iters left: 6 (13 enodes) 35.565 * * [simplify]: iters left: 5 (57 enodes) 35.585 * * [simplify]: iters left: 4 (109 enodes) 35.623 * * [simplify]: iters left: 3 (207 enodes) 35.673 * * [simplify]: Extracting #0: cost 1 inf + 0 35.673 * * [simplify]: Extracting #1: cost 25 inf + 0 35.673 * * [simplify]: Extracting #2: cost 94 inf + 1 35.674 * * [simplify]: Extracting #3: cost 142 inf + 836 35.675 * * [simplify]: Extracting #4: cost 109 inf + 6265 35.679 * * [simplify]: Extracting #5: cost 25 inf + 25026 35.686 * * [simplify]: Extracting #6: cost 1 inf + 34374 35.694 * * [simplify]: Extracting #7: cost 0 inf + 34990 35.700 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) 35.700 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n)))) (sqrt k))) 35.700 * * * * [progress]: [ 83 / 174 ] simplifiying candidate # 35.700 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 35.701 * * [simplify]: iters left: 6 (14 enodes) 35.705 * * [simplify]: iters left: 5 (60 enodes) 35.719 * * [simplify]: iters left: 4 (111 enodes) 35.752 * * [simplify]: iters left: 3 (221 enodes) 35.806 * * [simplify]: iters left: 2 (489 enodes) 36.003 * * [simplify]: Extracting #0: cost 1 inf + 0 36.003 * * [simplify]: Extracting #1: cost 20 inf + 0 36.003 * * [simplify]: Extracting #2: cost 129 inf + 2 36.004 * * [simplify]: Extracting #3: cost 242 inf + 324 36.007 * * [simplify]: Extracting #4: cost 176 inf + 16226 36.016 * * [simplify]: Extracting #5: cost 34 inf + 57304 36.036 * * [simplify]: Extracting #6: cost 0 inf + 69928 36.062 * [simplify]: Simplified to (/ (+ (log 2) (+ (log n) (log PI))) (/ 2 (- 1 k))) 36.062 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (+ (log 2) (+ (log n) (log PI))) (/ 2 (- 1 k)))) (sqrt k))) 36.062 * * * * [progress]: [ 84 / 174 ] simplifiying candidate # 36.063 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 36.063 * * [simplify]: iters left: 6 (13 enodes) 36.071 * * [simplify]: iters left: 5 (60 enodes) 36.091 * * [simplify]: iters left: 4 (112 enodes) 36.135 * * [simplify]: iters left: 3 (208 enodes) 36.191 * * [simplify]: iters left: 2 (477 enodes) 36.352 * * [simplify]: Extracting #0: cost 1 inf + 0 36.352 * * [simplify]: Extracting #1: cost 22 inf + 0 36.352 * * [simplify]: Extracting #2: cost 134 inf + 2 36.353 * * [simplify]: Extracting #3: cost 258 inf + 353 36.356 * * [simplify]: Extracting #4: cost 205 inf + 10199 36.370 * * [simplify]: Extracting #5: cost 50 inf + 52894 36.390 * * [simplify]: Extracting #6: cost 0 inf + 69190 36.403 * * [simplify]: Extracting #7: cost 0 inf + 69069 36.422 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) 36.422 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2))))) (sqrt k))) 36.422 * * * * [progress]: [ 85 / 174 ] simplifiying candidate # 36.423 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) 36.423 * * [simplify]: iters left: 6 (13 enodes) 36.431 * * [simplify]: iters left: 5 (60 enodes) 36.449 * * [simplify]: iters left: 4 (112 enodes) 36.472 * * [simplify]: iters left: 3 (208 enodes) 36.544 * * [simplify]: iters left: 2 (477 enodes) 36.741 * * [simplify]: Extracting #0: cost 1 inf + 0 36.741 * * [simplify]: Extracting #1: cost 22 inf + 0 36.742 * * [simplify]: Extracting #2: cost 134 inf + 2 36.743 * * [simplify]: Extracting #3: cost 258 inf + 353 36.745 * * [simplify]: Extracting #4: cost 205 inf + 10199 36.754 * * [simplify]: Extracting #5: cost 50 inf + 52894 36.768 * * [simplify]: Extracting #6: cost 0 inf + 69190 36.794 * * [simplify]: Extracting #7: cost 0 inf + 69069 36.821 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) 36.821 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2))))) (sqrt k))) 36.821 * * * * [progress]: [ 86 / 174 ] simplifiying candidate # 36.821 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 36.822 * * [simplify]: iters left: 6 (13 enodes) 36.829 * * [simplify]: iters left: 5 (57 enodes) 36.853 * * [simplify]: iters left: 4 (109 enodes) 36.890 * * [simplify]: iters left: 3 (207 enodes) 36.967 * * [simplify]: Extracting #0: cost 1 inf + 0 36.967 * * [simplify]: Extracting #1: cost 25 inf + 0 36.967 * * [simplify]: Extracting #2: cost 94 inf + 1 36.968 * * [simplify]: Extracting #3: cost 142 inf + 836 36.969 * * [simplify]: Extracting #4: cost 109 inf + 6265 36.973 * * [simplify]: Extracting #5: cost 25 inf + 25026 36.981 * * [simplify]: Extracting #6: cost 1 inf + 34374 36.987 * * [simplify]: Extracting #7: cost 0 inf + 34990 36.999 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n))) 36.999 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log (* PI 2)) (log n)))) (sqrt k))) 37.000 * * * * [progress]: [ 87 / 174 ] simplifiying candidate # 37.000 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) 37.000 * * [simplify]: iters left: 6 (14 enodes) 37.009 * * [simplify]: iters left: 5 (60 enodes) 37.030 * * [simplify]: iters left: 4 (116 enodes) 37.063 * * [simplify]: iters left: 3 (246 enodes) 37.144 * * [simplify]: Extracting #0: cost 1 inf + 0 37.144 * * [simplify]: Extracting #1: cost 21 inf + 0 37.145 * * [simplify]: Extracting #2: cost 90 inf + 1 37.145 * * [simplify]: Extracting #3: cost 144 inf + 159 37.146 * * [simplify]: Extracting #4: cost 137 inf + 3223 37.149 * * [simplify]: Extracting #5: cost 54 inf + 21135 37.155 * * [simplify]: Extracting #6: cost 0 inf + 37969 37.161 * * [simplify]: Extracting #7: cost 0 inf + 37887 37.168 * [simplify]: Simplified to (/ (* (+ (+ (log PI) (log 2)) (log n)) (- 1 k)) 2) 37.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (+ (+ (log PI) (log 2)) (log n)) (- 1 k)) 2)) (sqrt k))) 37.168 * * * * [progress]: [ 88 / 174 ] simplifiying candidate # 37.168 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 37.168 * * [simplify]: iters left: 6 (13 enodes) 37.175 * * [simplify]: iters left: 5 (60 enodes) 37.200 * * [simplify]: iters left: 4 (115 enodes) 37.240 * * [simplify]: iters left: 3 (244 enodes) 37.319 * * [simplify]: Extracting #0: cost 1 inf + 0 37.320 * * [simplify]: Extracting #1: cost 21 inf + 0 37.320 * * [simplify]: Extracting #2: cost 91 inf + 1 37.321 * * [simplify]: Extracting #3: cost 146 inf + 270 37.323 * * [simplify]: Extracting #4: cost 138 inf + 3952 37.330 * * [simplify]: Extracting #5: cost 44 inf + 22024 37.341 * * [simplify]: Extracting #6: cost 4 inf + 35141 37.353 * * [simplify]: Extracting #7: cost 0 inf + 35930 37.367 * * [simplify]: Extracting #8: cost 0 inf + 35850 37.375 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2) 37.376 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2)) (sqrt k))) 37.376 * * * * [progress]: [ 89 / 174 ] simplifiying candidate # 37.376 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) 37.376 * * [simplify]: iters left: 6 (13 enodes) 37.380 * * [simplify]: iters left: 5 (60 enodes) 37.391 * * [simplify]: iters left: 4 (115 enodes) 37.416 * * [simplify]: iters left: 3 (244 enodes) 37.482 * * [simplify]: Extracting #0: cost 1 inf + 0 37.482 * * [simplify]: Extracting #1: cost 21 inf + 0 37.482 * * [simplify]: Extracting #2: cost 91 inf + 1 37.483 * * [simplify]: Extracting #3: cost 146 inf + 270 37.484 * * [simplify]: Extracting #4: cost 138 inf + 3952 37.487 * * [simplify]: Extracting #5: cost 44 inf + 22024 37.493 * * [simplify]: Extracting #6: cost 4 inf + 35141 37.505 * * [simplify]: Extracting #7: cost 0 inf + 35930 37.521 * * [simplify]: Extracting #8: cost 0 inf + 35850 37.534 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2) 37.534 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2)) (sqrt k))) 37.534 * * * * [progress]: [ 90 / 174 ] simplifiying candidate # 37.535 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) 37.535 * * [simplify]: iters left: 6 (13 enodes) 37.543 * * [simplify]: iters left: 5 (58 enodes) 37.562 * * [simplify]: iters left: 4 (106 enodes) 37.584 * * [simplify]: iters left: 3 (222 enodes) 37.646 * * [simplify]: Extracting #0: cost 1 inf + 0 37.647 * * [simplify]: Extracting #1: cost 31 inf + 0 37.647 * * [simplify]: Extracting #2: cost 119 inf + 1 37.648 * * [simplify]: Extracting #3: cost 173 inf + 821 37.650 * * [simplify]: Extracting #4: cost 113 inf + 14636 37.655 * * [simplify]: Extracting #5: cost 41 inf + 36250 37.667 * * [simplify]: Extracting #6: cost 2 inf + 48703 37.683 * * [simplify]: Extracting #7: cost 0 inf + 49132 37.695 * * [simplify]: Extracting #8: cost 0 inf + 48652 37.703 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2) 37.703 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log (* 2 PI)) (log n))) 2)) (sqrt k))) 37.703 * * * * [progress]: [ 91 / 174 ] simplifiying candidate # 37.703 * * * * [progress]: [ 92 / 174 ] simplifiying candidate # 37.703 * * * * [progress]: [ 93 / 174 ] simplifiying candidate # 37.703 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) 37.704 * * [simplify]: iters left: 6 (15 enodes) 37.708 * * [simplify]: iters left: 5 (69 enodes) 37.730 * * [simplify]: iters left: 4 (162 enodes) 37.795 * * [simplify]: Extracting #0: cost 1 inf + 0 37.795 * * [simplify]: Extracting #1: cost 34 inf + 0 37.796 * * [simplify]: Extracting #2: cost 134 inf + 0 37.796 * * [simplify]: Extracting #3: cost 155 inf + 2 37.797 * * [simplify]: Extracting #4: cost 156 inf + 9 37.801 * * [simplify]: Extracting #5: cost 134 inf + 4214 37.806 * * [simplify]: Extracting #6: cost 42 inf + 56840 37.820 * * [simplify]: Extracting #7: cost 0 inf + 91593 37.832 * * [simplify]: Extracting #8: cost 0 inf + 89925 37.843 * * [simplify]: Extracting #9: cost 0 inf + 89885 37.854 * [simplify]: Simplified to (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) 37.855 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))) (sqrt k))) 37.855 * * * * [progress]: [ 94 / 174 ] simplifiying candidate # 37.855 * * * * [progress]: [ 95 / 174 ] simplifiying candidate # 37.855 * * * * [progress]: [ 96 / 174 ] simplifiying candidate # 37.855 * * * * [progress]: [ 97 / 174 ] simplifiying candidate # 37.855 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) 37.855 * * [simplify]: iters left: 5 (9 enodes) 37.859 * * [simplify]: iters left: 4 (38 enodes) 37.873 * * [simplify]: iters left: 3 (85 enodes) 37.916 * * [simplify]: iters left: 2 (202 enodes) 37.976 * * [simplify]: iters left: 1 (476 enodes) 38.425 * * [simplify]: Extracting #0: cost 1 inf + 0 38.425 * * [simplify]: Extracting #1: cost 67 inf + 0 38.427 * * [simplify]: Extracting #2: cost 338 inf + 0 38.430 * * [simplify]: Extracting #3: cost 342 inf + 513 38.435 * * [simplify]: Extracting #4: cost 303 inf + 16153 38.461 * * [simplify]: Extracting #5: cost 97 inf + 159384 38.509 * * [simplify]: Extracting #6: cost 0 inf + 235613 38.550 * * [simplify]: Extracting #7: cost 0 inf + 235351 38.581 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (sqrt n)) 38.581 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2)))) (sqrt k))) 38.582 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2))) 38.582 * * [simplify]: iters left: 5 (9 enodes) 38.585 * * [simplify]: iters left: 4 (34 enodes) 38.591 * * [simplify]: iters left: 3 (63 enodes) 38.607 * * [simplify]: iters left: 2 (151 enodes) 38.687 * * [simplify]: Extracting #0: cost 1 inf + 0 38.687 * * [simplify]: Extracting #1: cost 27 inf + 0 38.687 * * [simplify]: Extracting #2: cost 109 inf + 0 38.687 * * [simplify]: Extracting #3: cost 130 inf + 2 38.688 * * [simplify]: Extracting #4: cost 115 inf + 2063 38.691 * * [simplify]: Extracting #5: cost 54 inf + 29327 38.703 * * [simplify]: Extracting #6: cost 3 inf + 62281 38.715 * * [simplify]: Extracting #7: cost 0 inf + 64615 38.731 * [simplify]: Simplified to (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2))) 38.731 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (pow (* 2 PI) (/ k 2)) (pow n (/ k 2)))) (sqrt k))) 38.731 * * * * [progress]: [ 98 / 174 ] simplifiying candidate # 38.731 * * * * [progress]: [ 99 / 174 ] simplifiying candidate # 38.732 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.732 * * [simplify]: iters left: 6 (13 enodes) 38.739 * * [simplify]: iters left: 5 (54 enodes) 38.757 * * [simplify]: iters left: 4 (89 enodes) 38.785 * * [simplify]: iters left: 3 (143 enodes) 38.836 * * [simplify]: iters left: 2 (274 enodes) 38.916 * * [simplify]: Extracting #0: cost 1 inf + 0 38.916 * * [simplify]: Extracting #1: cost 31 inf + 0 38.917 * * [simplify]: Extracting #2: cost 98 inf + 0 38.917 * * [simplify]: Extracting #3: cost 149 inf + 2 38.918 * * [simplify]: Extracting #4: cost 171 inf + 93 38.919 * * [simplify]: Extracting #5: cost 145 inf + 4754 38.922 * * [simplify]: Extracting #6: cost 76 inf + 29158 38.935 * * [simplify]: Extracting #7: cost 11 inf + 79145 38.956 * * [simplify]: Extracting #8: cost 0 inf + 87137 38.968 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 38.968 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 38.969 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 38.969 * * [simplify]: iters left: 6 (13 enodes) 38.973 * * [simplify]: iters left: 5 (54 enodes) 38.983 * * [simplify]: iters left: 4 (89 enodes) 39.001 * * [simplify]: iters left: 3 (143 enodes) 39.041 * * [simplify]: iters left: 2 (274 enodes) 39.143 * * [simplify]: Extracting #0: cost 1 inf + 0 39.143 * * [simplify]: Extracting #1: cost 31 inf + 0 39.144 * * [simplify]: Extracting #2: cost 98 inf + 0 39.145 * * [simplify]: Extracting #3: cost 149 inf + 2 39.146 * * [simplify]: Extracting #4: cost 171 inf + 93 39.148 * * [simplify]: Extracting #5: cost 145 inf + 4754 39.154 * * [simplify]: Extracting #6: cost 76 inf + 29158 39.167 * * [simplify]: Extracting #7: cost 11 inf + 79145 39.180 * * [simplify]: Extracting #8: cost 0 inf + 87137 39.191 * [simplify]: Simplified to (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 39.191 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* PI 2) (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2)))) (sqrt k))) 39.191 * * * * [progress]: [ 100 / 174 ] simplifiying candidate # 39.191 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.191 * * [simplify]: iters left: 6 (13 enodes) 39.196 * * [simplify]: iters left: 5 (57 enodes) 39.207 * * [simplify]: iters left: 4 (103 enodes) 39.229 * * [simplify]: iters left: 3 (214 enodes) 39.308 * * [simplify]: Extracting #0: cost 1 inf + 0 39.308 * * [simplify]: Extracting #1: cost 36 inf + 0 39.308 * * [simplify]: Extracting #2: cost 118 inf + 0 39.309 * * [simplify]: Extracting #3: cost 155 inf + 1 39.309 * * [simplify]: Extracting #4: cost 151 inf + 136 39.310 * * [simplify]: Extracting #5: cost 139 inf + 1801 39.313 * * [simplify]: Extracting #6: cost 81 inf + 20372 39.320 * * [simplify]: Extracting #7: cost 7 inf + 72544 39.337 * * [simplify]: Extracting #8: cost 0 inf + 78002 39.360 * * [simplify]: Extracting #9: cost 0 inf + 77485 39.379 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 39.379 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 39.379 * [simplify]: Simplifying (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 39.380 * * [simplify]: iters left: 6 (13 enodes) 39.388 * * [simplify]: iters left: 5 (57 enodes) 39.408 * * [simplify]: iters left: 4 (103 enodes) 39.447 * * [simplify]: iters left: 3 (214 enodes) 39.545 * * [simplify]: Extracting #0: cost 1 inf + 0 39.545 * * [simplify]: Extracting #1: cost 36 inf + 0 39.545 * * [simplify]: Extracting #2: cost 118 inf + 0 39.546 * * [simplify]: Extracting #3: cost 155 inf + 1 39.546 * * [simplify]: Extracting #4: cost 151 inf + 136 39.547 * * [simplify]: Extracting #5: cost 139 inf + 1801 39.550 * * [simplify]: Extracting #6: cost 81 inf + 20372 39.557 * * [simplify]: Extracting #7: cost 7 inf + 72544 39.567 * * [simplify]: Extracting #8: cost 0 inf + 78002 39.586 * * [simplify]: Extracting #9: cost 0 inf + 77485 39.604 * [simplify]: Simplified to (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2))) 39.605 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* PI 2) (/ (- 1 k) 4)) (pow (sqrt n) (/ (- 1 k) 2)))) (sqrt k))) 39.605 * * * * [progress]: [ 101 / 174 ] simplifiying candidate # 39.605 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 39.605 * * [simplify]: iters left: 6 (13 enodes) 39.609 * * [simplify]: iters left: 5 (54 enodes) 39.618 * * [simplify]: iters left: 4 (86 enodes) 39.633 * * [simplify]: iters left: 3 (128 enodes) 39.667 * * [simplify]: iters left: 2 (222 enodes) 39.755 * * [simplify]: iters left: 1 (448 enodes) 39.965 * * [simplify]: Extracting #0: cost 1 inf + 0 39.965 * * [simplify]: Extracting #1: cost 4 inf + 0 39.965 * * [simplify]: Extracting #2: cost 10 inf + 0 39.965 * * [simplify]: Extracting #3: cost 57 inf + 0 39.966 * * [simplify]: Extracting #4: cost 176 inf + 2 39.968 * * [simplify]: Extracting #5: cost 205 inf + 52 39.970 * * [simplify]: Extracting #6: cost 177 inf + 4915 39.985 * * [simplify]: Extracting #7: cost 68 inf + 45576 40.013 * * [simplify]: Extracting #8: cost 8 inf + 86615 40.033 * * [simplify]: Extracting #9: cost 0 inf + 92216 40.057 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) 40.058 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 40.058 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 40.058 * * [simplify]: iters left: 6 (13 enodes) 40.066 * * [simplify]: iters left: 5 (54 enodes) 40.083 * * [simplify]: iters left: 4 (86 enodes) 40.100 * * [simplify]: iters left: 3 (128 enodes) 40.128 * * [simplify]: iters left: 2 (222 enodes) 40.193 * * [simplify]: iters left: 1 (448 enodes) 40.371 * * [simplify]: Extracting #0: cost 1 inf + 0 40.371 * * [simplify]: Extracting #1: cost 4 inf + 0 40.371 * * [simplify]: Extracting #2: cost 10 inf + 0 40.371 * * [simplify]: Extracting #3: cost 57 inf + 0 40.372 * * [simplify]: Extracting #4: cost 176 inf + 2 40.373 * * [simplify]: Extracting #5: cost 205 inf + 52 40.374 * * [simplify]: Extracting #6: cost 177 inf + 4915 40.382 * * [simplify]: Extracting #7: cost 68 inf + 45576 40.401 * * [simplify]: Extracting #8: cost 8 inf + 86615 40.433 * * [simplify]: Extracting #9: cost 0 inf + 92216 40.468 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4)))) 40.468 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (fabs (pow n (/ (- 1 k) 4))))) (sqrt k))) 40.469 * * * * [progress]: [ 102 / 174 ] simplifiying candidate # 40.469 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 40.469 * * [simplify]: iters left: 6 (13 enodes) 40.474 * * [simplify]: iters left: 5 (57 enodes) 40.484 * * [simplify]: iters left: 4 (96 enodes) 40.502 * * [simplify]: iters left: 3 (168 enodes) 40.547 * * [simplify]: iters left: 2 (329 enodes) 40.659 * * [simplify]: Extracting #0: cost 1 inf + 0 40.659 * * [simplify]: Extracting #1: cost 30 inf + 0 40.659 * * [simplify]: Extracting #2: cost 100 inf + 0 40.660 * * [simplify]: Extracting #3: cost 162 inf + 2 40.664 * * [simplify]: Extracting #4: cost 189 inf + 56 40.666 * * [simplify]: Extracting #5: cost 159 inf + 6004 40.673 * * [simplify]: Extracting #6: cost 49 inf + 54652 40.687 * * [simplify]: Extracting #7: cost 2 inf + 85841 40.701 * * [simplify]: Extracting #8: cost 0 inf + 85671 40.727 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (* 1/2 (- 1 k))))) 40.727 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (* 1/2 (- 1 k))))) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 40.728 * [simplify]: Simplifying (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 40.728 * * [simplify]: iters left: 6 (13 enodes) 40.737 * * [simplify]: iters left: 5 (57 enodes) 40.756 * * [simplify]: iters left: 4 (96 enodes) 40.789 * * [simplify]: iters left: 3 (168 enodes) 40.833 * * [simplify]: iters left: 2 (329 enodes) 40.944 * * [simplify]: Extracting #0: cost 1 inf + 0 40.944 * * [simplify]: Extracting #1: cost 30 inf + 0 40.944 * * [simplify]: Extracting #2: cost 100 inf + 0 40.945 * * [simplify]: Extracting #3: cost 162 inf + 2 40.947 * * [simplify]: Extracting #4: cost 189 inf + 56 40.949 * * [simplify]: Extracting #5: cost 159 inf + 6004 40.959 * * [simplify]: Extracting #6: cost 49 inf + 54652 40.973 * * [simplify]: Extracting #7: cost 2 inf + 85841 40.991 * * [simplify]: Extracting #8: cost 0 inf + 85671 41.022 * [simplify]: Simplified to (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (* 1/2 (- 1 k))))) 41.023 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow (* 2 PI) (/ (- 1 k) 4)) (sqrt (pow n (* 1/2 (- 1 k)))))) (sqrt k))) 41.023 * * * * [progress]: [ 103 / 174 ] simplifiying candidate # 41.024 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 41.024 * * [simplify]: iters left: 6 (13 enodes) 41.031 * * [simplify]: iters left: 5 (57 enodes) 41.042 * * [simplify]: iters left: 4 (96 enodes) 41.061 * * [simplify]: iters left: 3 (172 enodes) 41.104 * * [simplify]: iters left: 2 (356 enodes) 41.271 * * [simplify]: Extracting #0: cost 1 inf + 0 41.271 * * [simplify]: Extracting #1: cost 25 inf + 0 41.271 * * [simplify]: Extracting #2: cost 95 inf + 0 41.272 * * [simplify]: Extracting #3: cost 164 inf + 3 41.274 * * [simplify]: Extracting #4: cost 199 inf + 14 41.276 * * [simplify]: Extracting #5: cost 150 inf + 9149 41.280 * * [simplify]: Extracting #6: cost 65 inf + 36827 41.289 * * [simplify]: Extracting #7: cost 15 inf + 73540 41.301 * * [simplify]: Extracting #8: cost 1 inf + 83734 41.313 * * [simplify]: Extracting #9: cost 0 inf + 84571 41.325 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) 41.325 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k))) 41.326 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) 41.326 * * [simplify]: iters left: 6 (13 enodes) 41.334 * * [simplify]: iters left: 5 (57 enodes) 41.354 * * [simplify]: iters left: 4 (96 enodes) 41.376 * * [simplify]: iters left: 3 (172 enodes) 41.422 * * [simplify]: iters left: 2 (356 enodes) 41.545 * * [simplify]: Extracting #0: cost 1 inf + 0 41.545 * * [simplify]: Extracting #1: cost 25 inf + 0 41.546 * * [simplify]: Extracting #2: cost 95 inf + 0 41.547 * * [simplify]: Extracting #3: cost 164 inf + 3 41.548 * * [simplify]: Extracting #4: cost 199 inf + 14 41.551 * * [simplify]: Extracting #5: cost 150 inf + 9149 41.561 * * [simplify]: Extracting #6: cost 65 inf + 36827 41.583 * * [simplify]: Extracting #7: cost 15 inf + 73540 41.595 * * [simplify]: Extracting #8: cost 1 inf + 83734 41.606 * * [simplify]: Extracting #9: cost 0 inf + 84571 41.621 * [simplify]: Simplified to (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k)))) 41.621 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (* 1/4 (- 1 k))))) (sqrt k))) 41.621 * * * * [progress]: [ 104 / 174 ] simplifiying candidate # 41.622 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 41.622 * * [simplify]: iters left: 6 (12 enodes) 41.629 * * [simplify]: iters left: 5 (54 enodes) 41.647 * * [simplify]: iters left: 4 (96 enodes) 41.666 * * [simplify]: iters left: 3 (199 enodes) 41.788 * * [simplify]: Extracting #0: cost 1 inf + 0 41.788 * * [simplify]: Extracting #1: cost 36 inf + 0 41.789 * * [simplify]: Extracting #2: cost 117 inf + 0 41.789 * * [simplify]: Extracting #3: cost 148 inf + 2 41.791 * * [simplify]: Extracting #4: cost 152 inf + 53 41.792 * * [simplify]: Extracting #5: cost 137 inf + 1344 41.798 * * [simplify]: Extracting #6: cost 100 inf + 7948 41.808 * * [simplify]: Extracting #7: cost 35 inf + 49100 41.827 * * [simplify]: Extracting #8: cost 0 inf + 76548 41.845 * * [simplify]: Extracting #9: cost 0 inf + 76349 41.864 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) 41.864 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)))) (sqrt k))) 41.865 * [simplify]: Simplifying (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) 41.865 * * [simplify]: iters left: 6 (12 enodes) 41.873 * * [simplify]: iters left: 5 (54 enodes) 41.891 * * [simplify]: iters left: 4 (96 enodes) 41.927 * * [simplify]: iters left: 3 (199 enodes) 42.025 * * [simplify]: Extracting #0: cost 1 inf + 0 42.026 * * [simplify]: Extracting #1: cost 36 inf + 0 42.026 * * [simplify]: Extracting #2: cost 117 inf + 0 42.028 * * [simplify]: Extracting #3: cost 148 inf + 2 42.029 * * [simplify]: Extracting #4: cost 152 inf + 53 42.030 * * [simplify]: Extracting #5: cost 137 inf + 1344 42.033 * * [simplify]: Extracting #6: cost 100 inf + 7948 42.046 * * [simplify]: Extracting #7: cost 35 inf + 49100 42.063 * * [simplify]: Extracting #8: cost 0 inf + 76548 42.081 * * [simplify]: Extracting #9: cost 0 inf + 76349 42.100 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4))) 42.100 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (* (pow n (/ (- 1 k) 4)) (pow (* 2 PI) (/ (- 1 k) 4)))) (sqrt k))) 42.100 * * * * [progress]: [ 105 / 174 ] simplifiying candidate # 42.100 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 42.101 * * [simplify]: iters left: 5 (7 enodes) 42.105 * * [simplify]: iters left: 4 (32 enodes) 42.117 * * [simplify]: iters left: 3 (57 enodes) 42.136 * * [simplify]: iters left: 2 (88 enodes) 42.168 * * [simplify]: iters left: 1 (156 enodes) 42.234 * * [simplify]: Extracting #0: cost 1 inf + 0 42.234 * * [simplify]: Extracting #1: cost 13 inf + 0 42.234 * * [simplify]: Extracting #2: cost 49 inf + 2 42.235 * * [simplify]: Extracting #3: cost 80 inf + 6 42.236 * * [simplify]: Extracting #4: cost 58 inf + 1840 42.239 * * [simplify]: Extracting #5: cost 22 inf + 9206 42.245 * * [simplify]: Extracting #6: cost 1 inf + 20886 42.251 * * [simplify]: Extracting #7: cost 0 inf + 21301 42.258 * * [simplify]: Extracting #8: cost 0 inf + 21130 42.263 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 42.264 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (sqrt k))) 42.264 * * * * [progress]: [ 106 / 174 ] simplifiying candidate # 42.264 * [simplify]: Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 42.264 * * [simplify]: iters left: 6 (9 enodes) 42.271 * * [simplify]: iters left: 5 (39 enodes) 42.284 * * [simplify]: iters left: 4 (60 enodes) 42.305 * * [simplify]: iters left: 3 (96 enodes) 42.341 * * [simplify]: iters left: 2 (184 enodes) 42.383 * * [simplify]: iters left: 1 (344 enodes) 42.543 * * [simplify]: Extracting #0: cost 1 inf + 0 42.543 * * [simplify]: Extracting #1: cost 3 inf + 0 42.544 * * [simplify]: Extracting #2: cost 27 inf + 0 42.544 * * [simplify]: Extracting #3: cost 100 inf + 1 42.545 * * [simplify]: Extracting #4: cost 153 inf + 92 42.547 * * [simplify]: Extracting #5: cost 149 inf + 557 42.551 * * [simplify]: Extracting #6: cost 68 inf + 14295 42.557 * * [simplify]: Extracting #7: cost 18 inf + 42650 42.566 * * [simplify]: Extracting #8: cost 0 inf + 57251 42.574 * * [simplify]: Extracting #9: cost 0 inf + 56019 42.582 * * [simplify]: Extracting #10: cost 0 inf + 55386 42.590 * [simplify]: Simplified to (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) 42.590 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 42.590 * * * * [progress]: [ 107 / 174 ] simplifiying candidate # 42.591 * [simplify]: Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) 42.591 * * [simplify]: iters left: 6 (9 enodes) 42.594 * * [simplify]: iters left: 5 (39 enodes) 42.601 * * [simplify]: iters left: 4 (61 enodes) 42.613 * * [simplify]: iters left: 3 (97 enodes) 42.645 * * [simplify]: iters left: 2 (185 enodes) 42.694 * * [simplify]: iters left: 1 (343 enodes) 42.808 * * [simplify]: Extracting #0: cost 1 inf + 0 42.808 * * [simplify]: Extracting #1: cost 4 inf + 0 42.808 * * [simplify]: Extracting #2: cost 33 inf + 0 42.808 * * [simplify]: Extracting #3: cost 113 inf + 1 42.809 * * [simplify]: Extracting #4: cost 159 inf + 94 42.809 * * [simplify]: Extracting #5: cost 159 inf + 101 42.811 * * [simplify]: Extracting #6: cost 120 inf + 3156 42.815 * * [simplify]: Extracting #7: cost 45 inf + 30745 42.823 * * [simplify]: Extracting #8: cost 4 inf + 57089 42.833 * * [simplify]: Extracting #9: cost 0 inf + 57963 42.842 * [simplify]: Simplified to (fabs (pow (* 2 PI) (- 1/4 (/ k 4)))) 42.842 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (fabs (pow (* 2 PI) (- 1/4 (/ k 4))))) (sqrt k))) 42.842 * * * * [progress]: [ 108 / 174 ] simplifiying candidate # 42.842 * [simplify]: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 42.842 * * [simplify]: iters left: 5 (8 enodes) 42.845 * * [simplify]: iters left: 4 (36 enodes) 42.852 * * [simplify]: iters left: 3 (57 enodes) 42.862 * * [simplify]: iters left: 2 (90 enodes) 42.894 * * [simplify]: iters left: 1 (176 enodes) 42.928 * * [simplify]: Extracting #0: cost 1 inf + 0 42.929 * * [simplify]: Extracting #1: cost 13 inf + 0 42.929 * * [simplify]: Extracting #2: cost 55 inf + 1 42.929 * * [simplify]: Extracting #3: cost 86 inf + 6 42.930 * * [simplify]: Extracting #4: cost 68 inf + 2553 42.931 * * [simplify]: Extracting #5: cost 24 inf + 10048 42.934 * * [simplify]: Extracting #6: cost 3 inf + 21580 42.937 * * [simplify]: Extracting #7: cost 0 inf + 23439 42.941 * [simplify]: Simplified to (pow (* 2 PI) (/ (- 1 k) 2)) 42.941 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 42.941 * * * * [progress]: [ 109 / 174 ] simplifiying candidate # 42.941 * [simplify]: Simplifying (pow (* 2 PI) (/ (/ (- 1 k) 2) 2)) 42.941 * * [simplify]: iters left: 6 (9 enodes) 42.944 * * [simplify]: iters left: 5 (42 enodes) 42.953 * * [simplify]: iters left: 4 (70 enodes) 42.971 * * [simplify]: iters left: 3 (117 enodes) 43.009 * * [simplify]: iters left: 2 (232 enodes) 43.068 * * [simplify]: iters left: 1 (452 enodes) 43.259 * * [simplify]: Extracting #0: cost 1 inf + 0 43.259 * * [simplify]: Extracting #1: cost 24 inf + 0 43.260 * * [simplify]: Extracting #2: cost 94 inf + 1 43.260 * * [simplify]: Extracting #3: cost 164 inf + 94 43.261 * * [simplify]: Extracting #4: cost 174 inf + 187 43.263 * * [simplify]: Extracting #5: cost 104 inf + 8023 43.269 * * [simplify]: Extracting #6: cost 33 inf + 28456 43.278 * * [simplify]: Extracting #7: cost 0 inf + 52800 43.287 * * [simplify]: Extracting #8: cost 0 inf + 51842 43.300 * [simplify]: Simplified to (pow (* 2 PI) (- 1/4 (/ k 4))) 43.300 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (pow (* 2 PI) (- 1/4 (/ k 4)))) (sqrt k))) 43.300 * * * * [progress]: [ 110 / 174 ] simplifiying candidate # 43.301 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 43.301 * * [simplify]: iters left: 5 (9 enodes) 43.304 * * [simplify]: iters left: 4 (38 enodes) 43.312 * * [simplify]: iters left: 3 (63 enodes) 43.327 * * [simplify]: iters left: 2 (98 enodes) 43.356 * * [simplify]: iters left: 1 (167 enodes) 43.399 * * [simplify]: Extracting #0: cost 1 inf + 0 43.399 * * [simplify]: Extracting #1: cost 13 inf + 0 43.399 * * [simplify]: Extracting #2: cost 54 inf + 1 43.400 * * [simplify]: Extracting #3: cost 87 inf + 5 43.401 * * [simplify]: Extracting #4: cost 68 inf + 1334 43.403 * * [simplify]: Extracting #5: cost 40 inf + 5047 43.407 * * [simplify]: Extracting #6: cost 11 inf + 17686 43.413 * * [simplify]: Extracting #7: cost 0 inf + 25802 43.417 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 43.417 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (cbrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 43.417 * * * * [progress]: [ 111 / 174 ] simplifiying candidate # 43.418 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 43.418 * * [simplify]: iters left: 5 (8 enodes) 43.420 * * [simplify]: iters left: 4 (35 enodes) 43.427 * * [simplify]: iters left: 3 (56 enodes) 43.440 * * [simplify]: iters left: 2 (89 enodes) 43.472 * * [simplify]: iters left: 1 (175 enodes) 43.518 * * [simplify]: Extracting #0: cost 1 inf + 0 43.519 * * [simplify]: Extracting #1: cost 13 inf + 0 43.519 * * [simplify]: Extracting #2: cost 53 inf + 1 43.519 * * [simplify]: Extracting #3: cost 83 inf + 47 43.519 * * [simplify]: Extracting #4: cost 66 inf + 2084 43.521 * * [simplify]: Extracting #5: cost 25 inf + 7926 43.524 * * [simplify]: Extracting #6: cost 3 inf + 20905 43.527 * * [simplify]: Extracting #7: cost 0 inf + 22641 43.530 * * [simplify]: Extracting #8: cost 0 inf + 22420 43.533 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 43.533 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 43.533 * * * * [progress]: [ 112 / 174 ] simplifiying candidate # 43.535 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 43.536 * * [simplify]: iters left: 5 (6 enodes) 43.538 * * [simplify]: iters left: 4 (24 enodes) 43.542 * * [simplify]: iters left: 3 (33 enodes) 43.547 * * [simplify]: Extracting #0: cost 1 inf + 0 43.547 * * [simplify]: Extracting #1: cost 0 inf + 1 43.547 * [simplify]: Simplified to 1 43.547 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 43.548 * * * * [progress]: [ 113 / 174 ] simplifiying candidate # 43.548 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 43.548 * * [simplify]: iters left: 6 (9 enodes) 43.551 * * [simplify]: iters left: 5 (38 enodes) 43.558 * * [simplify]: iters left: 4 (63 enodes) 43.580 * * [simplify]: iters left: 3 (98 enodes) 43.613 * * [simplify]: iters left: 2 (167 enodes) 43.670 * * [simplify]: iters left: 1 (317 enodes) 43.778 * * [simplify]: Extracting #0: cost 1 inf + 0 43.778 * * [simplify]: Extracting #1: cost 3 inf + 0 43.778 * * [simplify]: Extracting #2: cost 5 inf + 0 43.778 * * [simplify]: Extracting #3: cost 30 inf + 0 43.779 * * [simplify]: Extracting #4: cost 100 inf + 2 43.779 * * [simplify]: Extracting #5: cost 139 inf + 8 43.780 * * [simplify]: Extracting #6: cost 127 inf + 1426 43.783 * * [simplify]: Extracting #7: cost 61 inf + 14370 43.794 * * [simplify]: Extracting #8: cost 3 inf + 52971 43.802 * * [simplify]: Extracting #9: cost 0 inf + 54607 43.810 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 43.810 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 43.810 * * * * [progress]: [ 114 / 174 ] simplifiying candidate # 43.810 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 43.810 * * [simplify]: iters left: 6 (8 enodes) 43.813 * * [simplify]: iters left: 5 (35 enodes) 43.820 * * [simplify]: iters left: 4 (57 enodes) 43.836 * * [simplify]: iters left: 3 (90 enodes) 43.859 * * [simplify]: iters left: 2 (176 enodes) 43.904 * * [simplify]: iters left: 1 (337 enodes) 44.012 * * [simplify]: Extracting #0: cost 1 inf + 0 44.012 * * [simplify]: Extracting #1: cost 4 inf + 0 44.012 * * [simplify]: Extracting #2: cost 32 inf + 0 44.013 * * [simplify]: Extracting #3: cost 112 inf + 2 44.014 * * [simplify]: Extracting #4: cost 140 inf + 9 44.015 * * [simplify]: Extracting #5: cost 140 inf + 138 44.018 * * [simplify]: Extracting #6: cost 89 inf + 7770 44.024 * * [simplify]: Extracting #7: cost 47 inf + 18849 44.038 * * [simplify]: Extracting #8: cost 7 inf + 47750 44.055 * * [simplify]: Extracting #9: cost 0 inf + 52260 44.072 * * [simplify]: Extracting #10: cost 0 inf + 52048 44.088 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 44.088 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (* (sqrt (pow n (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 44.088 * * * * [progress]: [ 115 / 174 ] simplifiying candidate # 44.088 * * * * [progress]: [ 116 / 174 ] simplifiying candidate # 44.089 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 44.089 * * [simplify]: iters left: 6 (8 enodes) 44.094 * * [simplify]: iters left: 5 (38 enodes) 44.108 * * [simplify]: iters left: 4 (66 enodes) 44.131 * * [simplify]: iters left: 3 (110 enodes) 44.172 * * [simplify]: iters left: 2 (200 enodes) 44.234 * * [simplify]: iters left: 1 (403 enodes) 44.380 * * [simplify]: Extracting #0: cost 1 inf + 0 44.380 * * [simplify]: Extracting #1: cost 26 inf + 0 44.380 * * [simplify]: Extracting #2: cost 100 inf + 2 44.382 * * [simplify]: Extracting #3: cost 164 inf + 10 44.383 * * [simplify]: Extracting #4: cost 157 inf + 1472 44.386 * * [simplify]: Extracting #5: cost 64 inf + 19273 44.393 * * [simplify]: Extracting #6: cost 8 inf + 47461 44.402 * * [simplify]: Extracting #7: cost 0 inf + 52807 44.411 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 44.411 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt k))) 44.411 * * * * [progress]: [ 117 / 174 ] simplifiying candidate # 44.411 * [simplify]: Simplifying (pow (* 2 PI) (/ k 2)) 44.411 * * [simplify]: iters left: 3 (6 enodes) 44.413 * * [simplify]: iters left: 2 (22 enodes) 44.417 * * [simplify]: iters left: 1 (34 enodes) 44.434 * * [simplify]: Extracting #0: cost 1 inf + 0 44.434 * * [simplify]: Extracting #1: cost 10 inf + 0 44.434 * * [simplify]: Extracting #2: cost 26 inf + 0 44.434 * * [simplify]: Extracting #3: cost 23 inf + 128 44.435 * * [simplify]: Extracting #4: cost 10 inf + 1713 44.436 * * [simplify]: Extracting #5: cost 0 inf + 4919 44.437 * [simplify]: Simplified to (pow (* 2 PI) (/ k 2)) 44.437 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (sqrt k))) 44.437 * * * * [progress]: [ 118 / 174 ] simplifiying candidate # 44.437 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 44.438 * * [simplify]: iters left: 6 (12 enodes) 44.446 * * [simplify]: iters left: 5 (52 enodes) 44.467 * * [simplify]: iters left: 4 (104 enodes) 44.509 * * [simplify]: iters left: 3 (217 enodes) 44.614 * * [simplify]: Extracting #0: cost 1 inf + 0 44.615 * * [simplify]: Extracting #1: cost 33 inf + 0 44.615 * * [simplify]: Extracting #2: cost 113 inf + 0 44.616 * * [simplify]: Extracting #3: cost 129 inf + 471 44.617 * * [simplify]: Extracting #4: cost 118 inf + 3894 44.619 * * [simplify]: Extracting #5: cost 113 inf + 5077 44.621 * * [simplify]: Extracting #6: cost 90 inf + 8575 44.630 * * [simplify]: Extracting #7: cost 21 inf + 46705 44.641 * * [simplify]: Extracting #8: cost 0 inf + 61367 44.648 * [simplify]: Simplified to (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) 44.648 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (/ k 2))) (sqrt k))) 44.648 * * * * [progress]: [ 119 / 174 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))))) (sqrt k)))> 44.648 * * * * [progress]: [ 120 / 174 ] simplifiying candidate # 44.648 * * * * [progress]: [ 121 / 174 ] simplifiying candidate # 44.648 * * * * [progress]: [ 122 / 174 ] simplifiying candidate # 44.648 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 44.648 * * [simplify]: iters left: 6 (17 enodes) 44.653 * * [simplify]: iters left: 5 (73 enodes) 44.666 * * [simplify]: iters left: 4 (136 enodes) 44.724 * * [simplify]: iters left: 3 (287 enodes) 44.810 * * [simplify]: Extracting #0: cost 1 inf + 0 44.811 * * [simplify]: Extracting #1: cost 26 inf + 0 44.811 * * [simplify]: Extracting #2: cost 100 inf + 0 44.811 * * [simplify]: Extracting #3: cost 161 inf + 73 44.812 * * [simplify]: Extracting #4: cost 161 inf + 1427 44.815 * * [simplify]: Extracting #5: cost 67 inf + 22480 44.823 * * [simplify]: Extracting #6: cost 3 inf + 43035 44.833 * * [simplify]: Extracting #7: cost 0 inf + 44205 44.849 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 44.849 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 44.849 * * * * [progress]: [ 123 / 174 ] simplifiying candidate # 44.850 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 44.850 * * [simplify]: iters left: 6 (16 enodes) 44.859 * * [simplify]: iters left: 5 (73 enodes) 44.884 * * [simplify]: iters left: 4 (137 enodes) 44.914 * * [simplify]: iters left: 3 (258 enodes) 44.984 * * [simplify]: Extracting #0: cost 1 inf + 0 44.984 * * [simplify]: Extracting #1: cost 27 inf + 0 44.984 * * [simplify]: Extracting #2: cost 94 inf + 0 44.985 * * [simplify]: Extracting #3: cost 155 inf + 2 44.986 * * [simplify]: Extracting #4: cost 155 inf + 1445 44.992 * * [simplify]: Extracting #5: cost 68 inf + 18514 45.006 * * [simplify]: Extracting #6: cost 16 inf + 32687 45.019 * * [simplify]: Extracting #7: cost 1 inf + 38319 45.032 * * [simplify]: Extracting #8: cost 0 inf + 38814 45.047 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))) 45.047 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))))) 45.047 * * * * [progress]: [ 124 / 174 ] simplifiying candidate # 45.048 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 45.048 * * [simplify]: iters left: 6 (16 enodes) 45.056 * * [simplify]: iters left: 5 (73 enodes) 45.069 * * [simplify]: iters left: 4 (137 enodes) 45.094 * * [simplify]: iters left: 3 (258 enodes) 45.154 * * [simplify]: Extracting #0: cost 1 inf + 0 45.154 * * [simplify]: Extracting #1: cost 27 inf + 0 45.154 * * [simplify]: Extracting #2: cost 94 inf + 0 45.155 * * [simplify]: Extracting #3: cost 155 inf + 2 45.155 * * [simplify]: Extracting #4: cost 155 inf + 1445 45.158 * * [simplify]: Extracting #5: cost 68 inf + 18514 45.163 * * [simplify]: Extracting #6: cost 16 inf + 32687 45.170 * * [simplify]: Extracting #7: cost 1 inf + 38319 45.181 * * [simplify]: Extracting #8: cost 0 inf + 38814 45.188 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))) 45.188 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))))) 45.188 * * * * [progress]: [ 125 / 174 ] simplifiying candidate # 45.189 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 45.189 * * [simplify]: iters left: 6 (16 enodes) 45.194 * * [simplify]: iters left: 5 (70 enodes) 45.208 * * [simplify]: iters left: 4 (130 enodes) 45.233 * * [simplify]: iters left: 3 (247 enodes) 45.344 * * [simplify]: Extracting #0: cost 1 inf + 0 45.344 * * [simplify]: Extracting #1: cost 23 inf + 0 45.345 * * [simplify]: Extracting #2: cost 117 inf + 0 45.346 * * [simplify]: Extracting #3: cost 185 inf + 3 45.349 * * [simplify]: Extracting #4: cost 151 inf + 8890 45.355 * * [simplify]: Extracting #5: cost 34 inf + 36856 45.363 * * [simplify]: Extracting #6: cost 6 inf + 46058 45.372 * * [simplify]: Extracting #7: cost 0 inf + 49796 45.380 * [simplify]: Simplified to (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) 45.381 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 45.381 * * * * [progress]: [ 126 / 174 ] simplifiying candidate # 45.381 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 45.381 * * [simplify]: iters left: 6 (17 enodes) 45.390 * * [simplify]: iters left: 5 (73 enodes) 45.404 * * [simplify]: iters left: 4 (136 enodes) 45.440 * * [simplify]: iters left: 3 (287 enodes) 45.529 * * [simplify]: Extracting #0: cost 1 inf + 0 45.530 * * [simplify]: Extracting #1: cost 26 inf + 0 45.530 * * [simplify]: Extracting #2: cost 100 inf + 0 45.530 * * [simplify]: Extracting #3: cost 161 inf + 73 45.531 * * [simplify]: Extracting #4: cost 161 inf + 1427 45.534 * * [simplify]: Extracting #5: cost 67 inf + 22480 45.542 * * [simplify]: Extracting #6: cost 3 inf + 43035 45.550 * * [simplify]: Extracting #7: cost 0 inf + 44205 45.558 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))) 45.559 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) (log (sqrt k))))) 45.559 * * * * [progress]: [ 127 / 174 ] simplifiying candidate # 45.559 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 45.559 * * [simplify]: iters left: 6 (16 enodes) 45.564 * * [simplify]: iters left: 5 (73 enodes) 45.580 * * [simplify]: iters left: 4 (137 enodes) 45.612 * * [simplify]: iters left: 3 (258 enodes) 45.680 * * [simplify]: Extracting #0: cost 1 inf + 0 45.680 * * [simplify]: Extracting #1: cost 27 inf + 0 45.681 * * [simplify]: Extracting #2: cost 94 inf + 0 45.681 * * [simplify]: Extracting #3: cost 155 inf + 2 45.683 * * [simplify]: Extracting #4: cost 155 inf + 1445 45.688 * * [simplify]: Extracting #5: cost 68 inf + 18514 45.698 * * [simplify]: Extracting #6: cost 16 inf + 32687 45.712 * * [simplify]: Extracting #7: cost 1 inf + 38319 45.725 * * [simplify]: Extracting #8: cost 0 inf + 38814 45.732 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))) 45.732 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))))) 45.733 * * * * [progress]: [ 128 / 174 ] simplifiying candidate # 45.733 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 45.733 * * [simplify]: iters left: 6 (16 enodes) 45.738 * * [simplify]: iters left: 5 (73 enodes) 45.750 * * [simplify]: iters left: 4 (137 enodes) 45.802 * * [simplify]: iters left: 3 (258 enodes) 45.907 * * [simplify]: Extracting #0: cost 1 inf + 0 45.907 * * [simplify]: Extracting #1: cost 27 inf + 0 45.908 * * [simplify]: Extracting #2: cost 94 inf + 0 45.908 * * [simplify]: Extracting #3: cost 155 inf + 2 45.910 * * [simplify]: Extracting #4: cost 155 inf + 1445 45.913 * * [simplify]: Extracting #5: cost 68 inf + 18514 45.918 * * [simplify]: Extracting #6: cost 16 inf + 32687 45.925 * * [simplify]: Extracting #7: cost 1 inf + 38319 45.933 * * [simplify]: Extracting #8: cost 0 inf + 38814 45.946 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))) 45.946 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* PI 2)))) (log (sqrt k))))) 45.946 * * * * [progress]: [ 129 / 174 ] simplifiying candidate # 45.946 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 45.947 * * [simplify]: iters left: 6 (16 enodes) 45.955 * * [simplify]: iters left: 5 (70 enodes) 45.979 * * [simplify]: iters left: 4 (130 enodes) 46.006 * * [simplify]: iters left: 3 (247 enodes) 46.087 * * [simplify]: Extracting #0: cost 1 inf + 0 46.087 * * [simplify]: Extracting #1: cost 23 inf + 0 46.088 * * [simplify]: Extracting #2: cost 117 inf + 0 46.089 * * [simplify]: Extracting #3: cost 185 inf + 3 46.092 * * [simplify]: Extracting #4: cost 151 inf + 8890 46.102 * * [simplify]: Extracting #5: cost 34 inf + 36856 46.123 * * [simplify]: Extracting #6: cost 6 inf + 46058 46.141 * * [simplify]: Extracting #7: cost 0 inf + 49796 46.158 * [simplify]: Simplified to (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))) 46.158 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)) (log (sqrt k))))) 46.158 * * * * [progress]: [ 130 / 174 ] simplifiying candidate # 46.159 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))) (log (sqrt k))) 46.159 * * [simplify]: iters left: 6 (17 enodes) 46.168 * * [simplify]: iters left: 5 (73 enodes) 46.193 * * [simplify]: iters left: 4 (137 enodes) 46.222 * * [simplify]: iters left: 3 (321 enodes) 46.365 * * [simplify]: Extracting #0: cost 1 inf + 0 46.366 * * [simplify]: Extracting #1: cost 36 inf + 0 46.366 * * [simplify]: Extracting #2: cost 137 inf + 0 46.368 * * [simplify]: Extracting #3: cost 206 inf + 74 46.371 * * [simplify]: Extracting #4: cost 168 inf + 14692 46.379 * * [simplify]: Extracting #5: cost 31 inf + 53921 46.390 * * [simplify]: Extracting #6: cost 1 inf + 62197 46.404 * * [simplify]: Extracting #7: cost 0 inf + 61702 46.423 * * [simplify]: Extracting #8: cost 0 inf + 61542 46.445 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k))) 46.445 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log PI) (log 2)))) (log (sqrt k))))) 46.445 * * * * [progress]: [ 131 / 174 ] simplifiying candidate # 46.446 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 46.446 * * [simplify]: iters left: 6 (16 enodes) 46.456 * * [simplify]: iters left: 5 (73 enodes) 46.485 * * [simplify]: iters left: 4 (144 enodes) 46.519 * * [simplify]: iters left: 3 (301 enodes) 46.623 * * [simplify]: Extracting #0: cost 1 inf + 0 46.624 * * [simplify]: Extracting #1: cost 31 inf + 0 46.624 * * [simplify]: Extracting #2: cost 125 inf + 0 46.625 * * [simplify]: Extracting #3: cost 195 inf + 3 46.628 * * [simplify]: Extracting #4: cost 165 inf + 8172 46.642 * * [simplify]: Extracting #5: cost 24 inf + 48468 46.661 * * [simplify]: Extracting #6: cost 0 inf + 53918 46.682 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) 46.682 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* 2 PI)))) (log (sqrt k))))) 46.682 * * * * [progress]: [ 132 / 174 ] simplifiying candidate # 46.682 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (* (log (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k))) 46.683 * * [simplify]: iters left: 6 (16 enodes) 46.692 * * [simplify]: iters left: 5 (73 enodes) 46.716 * * [simplify]: iters left: 4 (144 enodes) 46.749 * * [simplify]: iters left: 3 (301 enodes) 46.842 * * [simplify]: Extracting #0: cost 1 inf + 0 46.843 * * [simplify]: Extracting #1: cost 31 inf + 0 46.843 * * [simplify]: Extracting #2: cost 125 inf + 0 46.844 * * [simplify]: Extracting #3: cost 195 inf + 3 46.845 * * [simplify]: Extracting #4: cost 165 inf + 8172 46.853 * * [simplify]: Extracting #5: cost 24 inf + 48468 46.870 * * [simplify]: Extracting #6: cost 0 inf + 53918 46.882 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (log (* 2 PI)))) (log (sqrt k))) 46.882 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (log (* 2 PI)))) (log (sqrt k))))) 46.882 * * * * [progress]: [ 133 / 174 ] simplifiying candidate # 46.882 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (log (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 46.883 * * [simplify]: iters left: 6 (16 enodes) 46.887 * * [simplify]: iters left: 5 (71 enodes) 46.900 * * [simplify]: iters left: 4 (131 enodes) 46.932 * * [simplify]: iters left: 3 (272 enodes) 47.031 * * [simplify]: Extracting #0: cost 1 inf + 0 47.031 * * [simplify]: Extracting #1: cost 30 inf + 0 47.032 * * [simplify]: Extracting #2: cost 147 inf + 0 47.032 * * [simplify]: Extracting #3: cost 226 inf + 2 47.034 * * [simplify]: Extracting #4: cost 183 inf + 14087 47.043 * * [simplify]: Extracting #5: cost 41 inf + 61923 47.054 * * [simplify]: Extracting #6: cost 3 inf + 68866 47.065 * * [simplify]: Extracting #7: cost 0 inf + 68488 47.079 * * [simplify]: Extracting #8: cost 0 inf + 68368 47.099 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))) 47.099 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* 2 PI)) (log n))) (log (sqrt k))))) 47.099 * * * * [progress]: [ 134 / 174 ] simplifiying candidate # 47.099 * [simplify]: Simplifying (- (log (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (log (sqrt k))) 47.100 * * [simplify]: iters left: 6 (15 enodes) 47.110 * * [simplify]: iters left: 5 (65 enodes) 47.129 * * [simplify]: iters left: 4 (123 enodes) 47.168 * * [simplify]: iters left: 3 (278 enodes) 47.287 * * [simplify]: Extracting #0: cost 1 inf + 0 47.288 * * [simplify]: Extracting #1: cost 26 inf + 0 47.288 * * [simplify]: Extracting #2: cost 111 inf + 0 47.289 * * [simplify]: Extracting #3: cost 197 inf + 2 47.291 * * [simplify]: Extracting #4: cost 230 inf + 4137 47.302 * * [simplify]: Extracting #5: cost 164 inf + 20212 47.319 * * [simplify]: Extracting #6: cost 32 inf + 91943 47.335 * * [simplify]: Extracting #7: cost 0 inf + 113550 47.355 * * [simplify]: Extracting #8: cost 0 inf + 113177 47.370 * [simplify]: Simplified to (- (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 47.370 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* PI 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 47.370 * * * * [progress]: [ 135 / 174 ] simplifiying candidate # 47.371 * * * * [progress]: [ 136 / 174 ] simplifiying candidate # 47.371 * * * * [progress]: [ 137 / 174 ] simplifiying candidate # 47.371 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 47.371 * * [simplify]: iters left: 6 (19 enodes) 47.377 * * [simplify]: iters left: 5 (87 enodes) 47.414 * * [simplify]: iters left: 4 (256 enodes) 47.596 * * [simplify]: Extracting #0: cost 1 inf + 0 47.596 * * [simplify]: Extracting #1: cost 119 inf + 0 47.598 * * [simplify]: Extracting #2: cost 322 inf + 1 47.601 * * [simplify]: Extracting #3: cost 376 inf + 125 47.613 * * [simplify]: Extracting #4: cost 269 inf + 51609 47.670 * * [simplify]: Extracting #5: cost 43 inf + 209263 47.722 * * [simplify]: Extracting #6: cost 1 inf + 236045 47.775 * * [simplify]: Extracting #7: cost 0 inf + 236109 47.844 * * [simplify]: Extracting #8: cost 0 inf + 235992 47.892 * [simplify]: Simplified to (/ (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (sqrt k) k)) 47.892 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (sqrt k) k)))) 47.892 * * * * [progress]: [ 138 / 174 ] simplifiying candidate # 47.892 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 47.893 * * [simplify]: iters left: 6 (17 enodes) 47.903 * * [simplify]: iters left: 5 (82 enodes) 47.921 * * [simplify]: iters left: 4 (254 enodes) 48.112 * * [simplify]: Extracting #0: cost 1 inf + 0 48.113 * * [simplify]: Extracting #1: cost 155 inf + 0 48.116 * * [simplify]: Extracting #2: cost 435 inf + 1 48.119 * * [simplify]: Extracting #3: cost 490 inf + 166 48.121 * * [simplify]: Extracting #4: cost 487 inf + 337 48.131 * * [simplify]: Extracting #5: cost 343 inf + 82751 48.180 * * [simplify]: Extracting #6: cost 143 inf + 227500 48.253 * * [simplify]: Extracting #7: cost 4 inf + 350162 48.343 * * [simplify]: Extracting #8: cost 0 inf + 348392 48.417 * * [simplify]: Extracting #9: cost 0 inf + 346234 48.505 * * [simplify]: Extracting #10: cost 0 inf + 345812 48.599 * [simplify]: Simplified to (/ (/ (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) k) (sqrt k)) 48.599 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow (* PI 2) (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) k) (sqrt k)))) 48.599 * * * * [progress]: [ 139 / 174 ] simplifiying candidate # 48.599 * * * * [progress]: [ 140 / 174 ] simplifiying candidate # 48.600 * * * * [progress]: [ 141 / 174 ] simplifiying candidate # 48.600 * * * * [progress]: [ 142 / 174 ] simplifiying candidate # 48.600 * * * * [progress]: [ 143 / 174 ] simplifiying candidate # 48.600 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.600 * * [simplify]: iters left: 6 (11 enodes) 48.607 * * [simplify]: iters left: 5 (46 enodes) 48.623 * * [simplify]: iters left: 4 (79 enodes) 48.647 * * [simplify]: iters left: 3 (135 enodes) 48.676 * * [simplify]: iters left: 2 (270 enodes) 48.765 * * [simplify]: Extracting #0: cost 1 inf + 0 48.765 * * [simplify]: Extracting #1: cost 56 inf + 0 48.766 * * [simplify]: Extracting #2: cost 151 inf + 0 48.766 * * [simplify]: Extracting #3: cost 211 inf + 3 48.768 * * [simplify]: Extracting #4: cost 182 inf + 8248 48.772 * * [simplify]: Extracting #5: cost 108 inf + 32321 48.784 * * [simplify]: Extracting #6: cost 40 inf + 73343 48.810 * * [simplify]: Extracting #7: cost 0 inf + 103841 48.836 * * [simplify]: Extracting #8: cost 0 inf + 103639 48.862 * * [simplify]: Extracting #9: cost 0 inf + 103517 48.889 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 48.889 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))))) 48.889 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k))) 48.889 * * [simplify]: iters left: 6 (11 enodes) 48.899 * * [simplify]: iters left: 5 (45 enodes) 48.914 * * [simplify]: iters left: 4 (68 enodes) 48.936 * * [simplify]: iters left: 3 (110 enodes) 48.964 * * [simplify]: iters left: 2 (217 enodes) 49.037 * * [simplify]: iters left: 1 (456 enodes) 49.241 * * [simplify]: Extracting #0: cost 1 inf + 0 49.241 * * [simplify]: Extracting #1: cost 44 inf + 0 49.242 * * [simplify]: Extracting #2: cost 133 inf + 0 49.243 * * [simplify]: Extracting #3: cost 211 inf + 3 49.245 * * [simplify]: Extracting #4: cost 209 inf + 1047 49.250 * * [simplify]: Extracting #5: cost 156 inf + 8593 49.263 * * [simplify]: Extracting #6: cost 83 inf + 43654 49.292 * * [simplify]: Extracting #7: cost 10 inf + 107740 49.325 * * [simplify]: Extracting #8: cost 0 inf + 116394 49.344 * * [simplify]: Extracting #9: cost 0 inf + 115425 49.374 * * [simplify]: Extracting #10: cost 0 inf + 114468 49.408 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))) 49.408 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (cbrt (sqrt k))))) 49.408 * * * * [progress]: [ 144 / 174 ] simplifiying candidate # 49.409 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 49.409 * * [simplify]: iters left: 6 (11 enodes) 49.415 * * [simplify]: iters left: 5 (45 enodes) 49.431 * * [simplify]: iters left: 4 (72 enodes) 49.449 * * [simplify]: iters left: 3 (113 enodes) 49.470 * * [simplify]: iters left: 2 (202 enodes) 49.548 * * [simplify]: iters left: 1 (423 enodes) 49.799 * * [simplify]: Extracting #0: cost 1 inf + 0 49.799 * * [simplify]: Extracting #1: cost 45 inf + 0 49.800 * * [simplify]: Extracting #2: cost 135 inf + 0 49.801 * * [simplify]: Extracting #3: cost 200 inf + 4 49.803 * * [simplify]: Extracting #4: cost 178 inf + 4405 49.808 * * [simplify]: Extracting #5: cost 89 inf + 41805 49.821 * * [simplify]: Extracting #6: cost 6 inf + 96015 49.847 * * [simplify]: Extracting #7: cost 0 inf + 93673 49.882 * * [simplify]: Extracting #8: cost 0 inf + 88687 49.901 * * [simplify]: Extracting #9: cost 0 inf + 87603 49.935 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 49.935 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))))) 49.935 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k))) 49.935 * * [simplify]: iters left: 6 (11 enodes) 49.942 * * [simplify]: iters left: 5 (45 enodes) 49.957 * * [simplify]: iters left: 4 (68 enodes) 49.976 * * [simplify]: iters left: 3 (110 enodes) 50.000 * * [simplify]: iters left: 2 (217 enodes) 50.062 * * [simplify]: iters left: 1 (456 enodes) 50.265 * * [simplify]: Extracting #0: cost 1 inf + 0 50.266 * * [simplify]: Extracting #1: cost 44 inf + 0 50.266 * * [simplify]: Extracting #2: cost 133 inf + 0 50.268 * * [simplify]: Extracting #3: cost 211 inf + 3 50.270 * * [simplify]: Extracting #4: cost 209 inf + 1127 50.275 * * [simplify]: Extracting #5: cost 156 inf + 8673 50.287 * * [simplify]: Extracting #6: cost 83 inf + 43734 50.321 * * [simplify]: Extracting #7: cost 10 inf + 107820 50.354 * * [simplify]: Extracting #8: cost 0 inf + 116474 50.373 * * [simplify]: Extracting #9: cost 0 inf + 115505 50.391 * * [simplify]: Extracting #10: cost 0 inf + 114548 50.408 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))) 50.409 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (cbrt k))))) 50.409 * * * * [progress]: [ 145 / 174 ] simplifiying candidate # 50.409 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.409 * * [simplify]: iters left: 6 (10 enodes) 50.414 * * [simplify]: iters left: 5 (41 enodes) 50.424 * * [simplify]: iters left: 4 (68 enodes) 50.447 * * [simplify]: iters left: 3 (109 enodes) 50.485 * * [simplify]: iters left: 2 (194 enodes) 50.542 * * [simplify]: iters left: 1 (414 enodes) 50.677 * * [simplify]: Extracting #0: cost 1 inf + 0 50.677 * * [simplify]: Extracting #1: cost 45 inf + 0 50.678 * * [simplify]: Extracting #2: cost 141 inf + 0 50.679 * * [simplify]: Extracting #3: cost 206 inf + 4 50.680 * * [simplify]: Extracting #4: cost 178 inf + 9345 50.689 * * [simplify]: Extracting #5: cost 101 inf + 32669 50.715 * * [simplify]: Extracting #6: cost 15 inf + 90305 50.747 * * [simplify]: Extracting #7: cost 0 inf + 100314 50.779 * * [simplify]: Extracting #8: cost 0 inf + 100143 50.810 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.810 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 50.810 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 50.811 * * [simplify]: iters left: 6 (11 enodes) 50.817 * * [simplify]: iters left: 5 (45 enodes) 50.830 * * [simplify]: iters left: 4 (68 enodes) 50.842 * * [simplify]: iters left: 3 (110 enodes) 50.864 * * [simplify]: iters left: 2 (217 enodes) 50.934 * * [simplify]: iters left: 1 (456 enodes) 51.124 * * [simplify]: Extracting #0: cost 1 inf + 0 51.124 * * [simplify]: Extracting #1: cost 44 inf + 0 51.125 * * [simplify]: Extracting #2: cost 133 inf + 0 51.127 * * [simplify]: Extracting #3: cost 211 inf + 3 51.129 * * [simplify]: Extracting #4: cost 209 inf + 967 51.133 * * [simplify]: Extracting #5: cost 156 inf + 8433 51.140 * * [simplify]: Extracting #6: cost 83 inf + 42774 51.154 * * [simplify]: Extracting #7: cost 10 inf + 105380 51.174 * * [simplify]: Extracting #8: cost 0 inf + 113674 51.201 * * [simplify]: Extracting #9: cost 0 inf + 112705 51.222 * * [simplify]: Extracting #10: cost 0 inf + 111748 51.246 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 51.246 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 51.247 * * * * [progress]: [ 146 / 174 ] simplifiying candidate # 51.247 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 51.247 * * [simplify]: iters left: 6 (9 enodes) 51.250 * * [simplify]: iters left: 5 (38 enodes) 51.258 * * [simplify]: iters left: 4 (63 enodes) 51.270 * * [simplify]: iters left: 3 (100 enodes) 51.300 * * [simplify]: iters left: 2 (175 enodes) 51.347 * * [simplify]: iters left: 1 (360 enodes) 51.533 * * [simplify]: Extracting #0: cost 1 inf + 0 51.533 * * [simplify]: Extracting #1: cost 52 inf + 0 51.534 * * [simplify]: Extracting #2: cost 150 inf + 3 51.536 * * [simplify]: Extracting #3: cost 190 inf + 8 51.538 * * [simplify]: Extracting #4: cost 167 inf + 1999 51.544 * * [simplify]: Extracting #5: cost 109 inf + 14534 51.564 * * [simplify]: Extracting #6: cost 11 inf + 80954 51.589 * * [simplify]: Extracting #7: cost 0 inf + 87093 51.611 * * [simplify]: Extracting #8: cost 0 inf + 85003 51.628 * * [simplify]: Extracting #9: cost 0 inf + 84872 51.649 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 51.649 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 51.649 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 51.650 * * [simplify]: iters left: 6 (10 enodes) 51.655 * * [simplify]: iters left: 5 (42 enodes) 51.669 * * [simplify]: iters left: 4 (65 enodes) 51.690 * * [simplify]: iters left: 3 (104 enodes) 51.730 * * [simplify]: iters left: 2 (206 enodes) 51.789 * * [simplify]: iters left: 1 (433 enodes) 51.966 * * [simplify]: Extracting #0: cost 1 inf + 0 51.966 * * [simplify]: Extracting #1: cost 45 inf + 0 51.967 * * [simplify]: Extracting #2: cost 143 inf + 0 51.968 * * [simplify]: Extracting #3: cost 213 inf + 45 51.969 * * [simplify]: Extracting #4: cost 203 inf + 1718 51.972 * * [simplify]: Extracting #5: cost 130 inf + 20716 51.987 * * [simplify]: Extracting #6: cost 18 inf + 99664 52.009 * * [simplify]: Extracting #7: cost 0 inf + 106929 52.035 * * [simplify]: Extracting #8: cost 0 inf + 106247 52.066 * * [simplify]: Extracting #9: cost 0 inf + 105867 52.117 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 52.118 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 52.118 * * * * [progress]: [ 147 / 174 ] simplifiying candidate # 52.118 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 52.118 * * [simplify]: iters left: 6 (10 enodes) 52.124 * * [simplify]: iters left: 5 (41 enodes) 52.138 * * [simplify]: iters left: 4 (68 enodes) 52.158 * * [simplify]: iters left: 3 (109 enodes) 52.178 * * [simplify]: iters left: 2 (194 enodes) 52.248 * * [simplify]: iters left: 1 (414 enodes) 52.440 * * [simplify]: Extracting #0: cost 1 inf + 0 52.440 * * [simplify]: Extracting #1: cost 45 inf + 0 52.441 * * [simplify]: Extracting #2: cost 141 inf + 0 52.441 * * [simplify]: Extracting #3: cost 206 inf + 4 52.443 * * [simplify]: Extracting #4: cost 178 inf + 9345 52.448 * * [simplify]: Extracting #5: cost 101 inf + 32669 52.465 * * [simplify]: Extracting #6: cost 15 inf + 90305 52.497 * * [simplify]: Extracting #7: cost 0 inf + 100314 52.533 * * [simplify]: Extracting #8: cost 0 inf + 100143 52.564 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 52.564 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))))) 52.564 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) 52.565 * * [simplify]: iters left: 6 (11 enodes) 52.572 * * [simplify]: iters left: 5 (45 enodes) 52.586 * * [simplify]: iters left: 4 (68 enodes) 52.606 * * [simplify]: iters left: 3 (110 enodes) 52.632 * * [simplify]: iters left: 2 (217 enodes) 52.694 * * [simplify]: iters left: 1 (456 enodes) 52.906 * * [simplify]: Extracting #0: cost 1 inf + 0 52.906 * * [simplify]: Extracting #1: cost 44 inf + 0 52.907 * * [simplify]: Extracting #2: cost 133 inf + 0 52.908 * * [simplify]: Extracting #3: cost 211 inf + 3 52.910 * * [simplify]: Extracting #4: cost 209 inf + 967 52.916 * * [simplify]: Extracting #5: cost 156 inf + 8433 52.929 * * [simplify]: Extracting #6: cost 83 inf + 42774 52.957 * * [simplify]: Extracting #7: cost 10 inf + 105380 52.984 * * [simplify]: Extracting #8: cost 0 inf + 113674 53.001 * * [simplify]: Extracting #9: cost 0 inf + 112705 53.028 * * [simplify]: Extracting #10: cost 0 inf + 111748 53.046 * [simplify]: Simplified to (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))) 53.046 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (sqrt k))))) 53.046 * * * * [progress]: [ 148 / 174 ] simplifiying candidate # 53.046 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 53.046 * * [simplify]: iters left: 6 (8 enodes) 53.049 * * [simplify]: iters left: 5 (33 enodes) 53.061 * * [simplify]: iters left: 4 (56 enodes) 53.080 * * [simplify]: iters left: 3 (98 enodes) 53.109 * * [simplify]: iters left: 2 (203 enodes) 53.158 * * [simplify]: iters left: 1 (441 enodes) 53.360 * * [simplify]: Extracting #0: cost 1 inf + 0 53.360 * * [simplify]: Extracting #1: cost 49 inf + 0 53.361 * * [simplify]: Extracting #2: cost 157 inf + 3 53.362 * * [simplify]: Extracting #3: cost 212 inf + 8 53.363 * * [simplify]: Extracting #4: cost 198 inf + 1133 53.366 * * [simplify]: Extracting #5: cost 127 inf + 13703 53.379 * * [simplify]: Extracting #6: cost 35 inf + 74586 53.415 * * [simplify]: Extracting #7: cost 0 inf + 99668 53.455 * * [simplify]: Extracting #8: cost 0 inf + 99308 53.490 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 53.490 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)))) 53.491 * [simplify]: Simplifying (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k)) 53.491 * * [simplify]: iters left: 6 (10 enodes) 53.497 * * [simplify]: iters left: 5 (42 enodes) 53.511 * * [simplify]: iters left: 4 (65 enodes) 53.533 * * [simplify]: iters left: 3 (104 enodes) 53.572 * * [simplify]: iters left: 2 (206 enodes) 53.653 * * [simplify]: iters left: 1 (433 enodes) 53.818 * * [simplify]: Extracting #0: cost 1 inf + 0 53.818 * * [simplify]: Extracting #1: cost 45 inf + 0 53.819 * * [simplify]: Extracting #2: cost 143 inf + 0 53.821 * * [simplify]: Extracting #3: cost 213 inf + 45 53.823 * * [simplify]: Extracting #4: cost 203 inf + 1718 53.830 * * [simplify]: Extracting #5: cost 130 inf + 20716 53.847 * * [simplify]: Extracting #6: cost 18 inf + 99664 53.876 * * [simplify]: Extracting #7: cost 0 inf + 106929 53.930 * * [simplify]: Extracting #8: cost 0 inf + 106247 53.957 * * [simplify]: Extracting #9: cost 0 inf + 105867 53.999 * [simplify]: Simplified to (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)) 53.999 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))) 53.999 * * * * [progress]: [ 149 / 174 ] simplifiying candidate # 53.999 * * * * [progress]: [ 150 / 174 ] simplifiying candidate # 53.999 * * * * [progress]: [ 151 / 174 ] simplifiying candidate # 53.999 * * * * [progress]: [ 152 / 174 ] simplifiying candidate # 53.999 * [simplify]: Simplifying (cbrt (sqrt k)) 53.999 * * [simplify]: iters left: 2 (3 enodes) 54.000 * * [simplify]: iters left: 1 (9 enodes) 54.001 * * [simplify]: Extracting #0: cost 1 inf + 0 54.001 * * [simplify]: Extracting #1: cost 3 inf + 0 54.001 * * [simplify]: Extracting #2: cost 5 inf + 0 54.001 * * [simplify]: Extracting #3: cost 4 inf + 1 54.001 * * [simplify]: Extracting #4: cost 0 inf + 325 54.001 * [simplify]: Simplified to (cbrt (sqrt k)) 54.001 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 54.001 * * * * [progress]: [ 153 / 174 ] simplifiying candidate # 54.002 * [simplify]: Simplifying (sqrt (cbrt k)) 54.002 * * [simplify]: iters left: 2 (3 enodes) 54.002 * * [simplify]: iters left: 1 (9 enodes) 54.003 * * [simplify]: Extracting #0: cost 1 inf + 0 54.003 * * [simplify]: Extracting #1: cost 3 inf + 0 54.004 * * [simplify]: Extracting #2: cost 5 inf + 0 54.004 * * [simplify]: Extracting #3: cost 4 inf + 1 54.004 * * [simplify]: Extracting #4: cost 0 inf + 405 54.004 * [simplify]: Simplified to (sqrt (cbrt k)) 54.004 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 54.004 * * * * [progress]: [ 154 / 174 ] simplifiying candidate # 54.004 * [simplify]: Simplifying (sqrt (sqrt k)) 54.004 * * [simplify]: iters left: 2 (3 enodes) 54.005 * * [simplify]: iters left: 1 (9 enodes) 54.006 * * [simplify]: Extracting #0: cost 1 inf + 0 54.006 * * [simplify]: Extracting #1: cost 3 inf + 0 54.006 * * [simplify]: Extracting #2: cost 5 inf + 0 54.006 * * [simplify]: Extracting #3: cost 4 inf + 1 54.006 * * [simplify]: Extracting #4: cost 0 inf + 245 54.006 * [simplify]: Simplified to (sqrt (sqrt k)) 54.006 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 54.006 * * * * [progress]: [ 155 / 174 ] simplifiying candidate # 54.006 * [simplify]: Simplifying (sqrt k) 54.006 * * [simplify]: iters left: 1 (2 enodes) 54.007 * * [simplify]: Extracting #0: cost 1 inf + 0 54.007 * * [simplify]: Extracting #1: cost 3 inf + 0 54.007 * * [simplify]: Extracting #2: cost 2 inf + 1 54.007 * * [simplify]: Extracting #3: cost 0 inf + 83 54.007 * [simplify]: Simplified to (sqrt k) 54.007 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt 1)) (sqrt k))) 54.007 * * * * [progress]: [ 156 / 174 ] simplifiying candidate # 54.007 * [simplify]: Simplifying (sqrt (sqrt k)) 54.007 * * [simplify]: iters left: 2 (3 enodes) 54.008 * * [simplify]: iters left: 1 (9 enodes) 54.009 * * [simplify]: Extracting #0: cost 1 inf + 0 54.009 * * [simplify]: Extracting #1: cost 3 inf + 0 54.009 * * [simplify]: Extracting #2: cost 5 inf + 0 54.009 * * [simplify]: Extracting #3: cost 4 inf + 1 54.009 * * [simplify]: Extracting #4: cost 0 inf + 245 54.009 * [simplify]: Simplified to (sqrt (sqrt k)) 54.009 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 54.009 * * * * [progress]: [ 157 / 174 ] simplifiying candidate # 54.009 * [simplify]: Simplifying (sqrt k) 54.009 * * [simplify]: iters left: 1 (2 enodes) 54.010 * * [simplify]: Extracting #0: cost 1 inf + 0 54.010 * * [simplify]: Extracting #1: cost 3 inf + 0 54.010 * * [simplify]: Extracting #2: cost 2 inf + 1 54.010 * * [simplify]: Extracting #3: cost 0 inf + 83 54.010 * [simplify]: Simplified to (sqrt k) 54.010 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 1) (sqrt k))) 54.010 * * * * [progress]: [ 158 / 174 ] simplifiying candidate # 54.010 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 54.010 * * [simplify]: iters left: 5 (7 enodes) 54.013 * * [simplify]: iters left: 4 (32 enodes) 54.019 * * [simplify]: iters left: 3 (57 enodes) 54.029 * * [simplify]: iters left: 2 (88 enodes) 54.063 * * [simplify]: iters left: 1 (156 enodes) 54.113 * * [simplify]: Extracting #0: cost 1 inf + 0 54.113 * * [simplify]: Extracting #1: cost 13 inf + 0 54.113 * * [simplify]: Extracting #2: cost 49 inf + 2 54.113 * * [simplify]: Extracting #3: cost 80 inf + 6 54.114 * * [simplify]: Extracting #4: cost 58 inf + 1840 54.115 * * [simplify]: Extracting #5: cost 22 inf + 9206 54.118 * * [simplify]: Extracting #6: cost 1 inf + 20886 54.121 * * [simplify]: Extracting #7: cost 0 inf + 21301 54.124 * * [simplify]: Extracting #8: cost 0 inf + 21130 54.127 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 54.127 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))))) 54.127 * * * * [progress]: [ 159 / 174 ] simplifiying candidate # 54.127 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ 1 2))) 54.127 * * [simplify]: iters left: 5 (9 enodes) 54.131 * * [simplify]: iters left: 4 (38 enodes) 54.148 * * [simplify]: iters left: 3 (85 enodes) 54.173 * * [simplify]: iters left: 2 (202 enodes) 54.250 * * [simplify]: iters left: 1 (476 enodes) 54.743 * * [simplify]: Extracting #0: cost 1 inf + 0 54.743 * * [simplify]: Extracting #1: cost 67 inf + 0 54.744 * * [simplify]: Extracting #2: cost 338 inf + 0 54.746 * * [simplify]: Extracting #3: cost 342 inf + 513 54.748 * * [simplify]: Extracting #4: cost 303 inf + 16153 54.769 * * [simplify]: Extracting #5: cost 97 inf + 159384 54.801 * * [simplify]: Extracting #6: cost 0 inf + 235613 54.822 * * [simplify]: Extracting #7: cost 0 inf + 235351 54.851 * [simplify]: Simplified to (* (sqrt (* 2 PI)) (sqrt n)) 54.851 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 PI)) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow (* 2 PI) (/ k 2)))))) 54.851 * * * * [progress]: [ 160 / 174 ] simplifiying candidate # 54.852 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ 1 2))) 54.852 * * [simplify]: iters left: 6 (12 enodes) 54.859 * * [simplify]: iters left: 5 (51 enodes) 54.870 * * [simplify]: iters left: 4 (99 enodes) 54.892 * * [simplify]: iters left: 3 (215 enodes) 54.990 * * [simplify]: Extracting #0: cost 1 inf + 0 54.990 * * [simplify]: Extracting #1: cost 36 inf + 0 54.991 * * [simplify]: Extracting #2: cost 119 inf + 0 54.991 * * [simplify]: Extracting #3: cost 140 inf + 6 54.992 * * [simplify]: Extracting #4: cost 142 inf + 54 54.992 * * [simplify]: Extracting #5: cost 120 inf + 4414 54.996 * * [simplify]: Extracting #6: cost 45 inf + 36418 55.008 * * [simplify]: Extracting #7: cost 5 inf + 59701 55.025 * * [simplify]: Extracting #8: cost 0 inf + 62833 55.041 * [simplify]: Simplified to (* (sqrt (* PI 2)) (pow n (/ (- 1 k) 2))) 55.041 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* PI 2)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow (* 2 PI) (/ k 2))))) 55.041 * * * * [progress]: [ 161 / 174 ] simplifiying candidate # 55.042 * [simplify]: Simplifying (* (pow n (/ 1 2)) (pow (* 2 PI) (/ (- 1 k) 2))) 55.042 * * [simplify]: iters left: 6 (12 enodes) 55.050 * * [simplify]: iters left: 5 (52 enodes) 55.061 * * [simplify]: iters left: 4 (104 enodes) 55.093 * * [simplify]: iters left: 3 (217 enodes) 55.161 * * [simplify]: Extracting #0: cost 1 inf + 0 55.161 * * [simplify]: Extracting #1: cost 33 inf + 0 55.162 * * [simplify]: Extracting #2: cost 113 inf + 0 55.162 * * [simplify]: Extracting #3: cost 129 inf + 471 55.163 * * [simplify]: Extracting #4: cost 118 inf + 3894 55.167 * * [simplify]: Extracting #5: cost 113 inf + 5077 55.168 * * [simplify]: Extracting #6: cost 90 inf + 8575 55.173 * * [simplify]: Extracting #7: cost 21 inf + 46705 55.185 * * [simplify]: Extracting #8: cost 0 inf + 61367 55.198 * [simplify]: Simplified to (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) 55.198 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt n) (pow (* 2 PI) (- 1/2 (/ k 2)))) (* (sqrt k) (pow n (/ k 2))))) 55.198 * * * * [progress]: [ 162 / 174 ] simplifiying candidate #real (real->posit16 (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))))> 55.198 * * * * [progress]: [ 163 / 174 ] simplifiying candidate # 55.199 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 55.199 * * [simplify]: iters left: 6 (18 enodes) 55.211 * * [simplify]: iters left: 5 (83 enodes) 55.246 * * [simplify]: iters left: 4 (209 enodes) 55.332 * * [simplify]: Extracting #0: cost 1 inf + 0 55.332 * * [simplify]: Extracting #1: cost 10 inf + 0 55.333 * * [simplify]: Extracting #2: cost 88 inf + 0 55.334 * * [simplify]: Extracting #3: cost 161 inf + 5 55.336 * * [simplify]: Extracting #4: cost 138 inf + 3919 55.344 * * [simplify]: Extracting #5: cost 21 inf + 35430 55.356 * * [simplify]: Extracting #6: cost 0 inf + 39667 55.367 * * [simplify]: Extracting #7: cost 0 inf + 39427 55.373 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 55.373 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 55.373 * * * * [progress]: [ 164 / 174 ] simplifiying candidate # 55.374 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 55.374 * * [simplify]: iters left: 6 (10 enodes) 55.377 * * [simplify]: iters left: 5 (44 enodes) 55.385 * * [simplify]: iters left: 4 (87 enodes) 55.406 * * [simplify]: iters left: 3 (209 enodes) 55.472 * * [simplify]: Extracting #0: cost 1 inf + 0 55.472 * * [simplify]: Extracting #1: cost 32 inf + 0 55.473 * * [simplify]: Extracting #2: cost 114 inf + 73 55.474 * * [simplify]: Extracting #3: cost 146 inf + 1532 55.478 * * [simplify]: Extracting #4: cost 64 inf + 14982 55.486 * * [simplify]: Extracting #5: cost 4 inf + 29158 55.501 * * [simplify]: Extracting #6: cost 0 inf + 31027 55.511 * * [simplify]: Extracting #7: cost 0 inf + 30987 55.521 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 55.521 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (* (log n) 1/2) (- 1 k))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 55.521 * * * * [progress]: [ 165 / 174 ] simplifiying candidate # 55.521 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 55.522 * * [simplify]: iters left: 6 (13 enodes) 55.528 * * [simplify]: iters left: 5 (53 enodes) 55.539 * * [simplify]: iters left: 4 (109 enodes) 55.569 * * [simplify]: iters left: 3 (305 enodes) 55.715 * * [simplify]: Extracting #0: cost 1 inf + 0 55.715 * * [simplify]: Extracting #1: cost 34 inf + 0 55.719 * * [simplify]: Extracting #2: cost 135 inf + 73 55.720 * * [simplify]: Extracting #3: cost 197 inf + 2363 55.723 * * [simplify]: Extracting #4: cost 91 inf + 20834 55.729 * * [simplify]: Extracting #5: cost 9 inf + 40850 55.737 * * [simplify]: Extracting #6: cost 0 inf + 43041 55.747 * * [simplify]: Extracting #7: cost 0 inf + 43035 55.763 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 55.763 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (exp (- (log n) (* k (log n))))) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k))) 55.763 * * * * [progress]: [ 166 / 174 ] simplifiying candidate # 55.763 * [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)))) 55.764 * * [simplify]: iters left: 6 (22 enodes) 55.777 * * [simplify]: iters left: 5 (108 enodes) 55.820 * * [simplify]: iters left: 4 (266 enodes) 55.949 * * [simplify]: Extracting #0: cost 1 inf + 0 55.949 * * [simplify]: Extracting #1: cost 10 inf + 0 55.949 * * [simplify]: Extracting #2: cost 103 inf + 0 55.950 * * [simplify]: Extracting #3: cost 280 inf + 45 55.953 * * [simplify]: Extracting #4: cost 237 inf + 14519 55.965 * * [simplify]: Extracting #5: cost 28 inf + 66560 55.991 * * [simplify]: Extracting #6: cost 0 inf + 73411 56.018 * * [simplify]: Extracting #7: cost 0 inf + 73211 56.042 * * [simplify]: Extracting #8: cost 0 inf + 73131 56.059 * [simplify]: Simplified to (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2))) 56.059 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (+ (* (sqrt 2) (- (* (* (* k (log (* PI 2))) (* k (log (* PI 2)))) (* (sqrt PI) 1/8)) (* (* k (log (* PI 2))) (* 1/2 (sqrt PI))))) (sqrt (* PI 2)))) (sqrt k))) 56.059 * * * * [progress]: [ 167 / 174 ] simplifiying candidate # 56.060 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 56.060 * * [simplify]: iters left: 6 (11 enodes) 56.067 * * [simplify]: iters left: 5 (47 enodes) 56.084 * * [simplify]: iters left: 4 (98 enodes) 56.104 * * [simplify]: iters left: 3 (252 enodes) 56.166 * * [simplify]: Extracting #0: cost 1 inf + 0 56.166 * * [simplify]: Extracting #1: cost 32 inf + 0 56.166 * * [simplify]: Extracting #2: cost 123 inf + 1 56.167 * * [simplify]: Extracting #3: cost 162 inf + 2239 56.169 * * [simplify]: Extracting #4: cost 95 inf + 13136 56.177 * * [simplify]: Extracting #5: cost 16 inf + 30533 56.189 * * [simplify]: Extracting #6: cost 0 inf + 35741 56.201 * * [simplify]: Extracting #7: cost 0 inf + 35654 56.213 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 56.213 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (sqrt k))) 56.213 * * * * [progress]: [ 168 / 174 ] simplifiying candidate # 56.213 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) 56.214 * * [simplify]: iters left: 6 (11 enodes) 56.220 * * [simplify]: iters left: 5 (47 enodes) 56.239 * * [simplify]: iters left: 4 (98 enodes) 56.282 * * [simplify]: iters left: 3 (252 enodes) 56.375 * * [simplify]: Extracting #0: cost 1 inf + 0 56.375 * * [simplify]: Extracting #1: cost 32 inf + 0 56.376 * * [simplify]: Extracting #2: cost 123 inf + 1 56.376 * * [simplify]: Extracting #3: cost 162 inf + 2239 56.378 * * [simplify]: Extracting #4: cost 95 inf + 13136 56.383 * * [simplify]: Extracting #5: cost 16 inf + 30533 56.396 * * [simplify]: Extracting #6: cost 0 inf + 35741 56.407 * * [simplify]: Extracting #7: cost 0 inf + 35654 56.413 * [simplify]: Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k)))) 56.413 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (sqrt k))) 56.413 * * * * [progress]: [ 169 / 174 ] simplifiying candidate # 56.413 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log n) (log (* 2 PI))))) (sqrt (* n PI)))) (* (sqrt 2) (sqrt (* n PI)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))))) 56.414 * * [simplify]: iters left: 6 (43 enodes) 56.426 * * [simplify]: iters left: 5 (214 enodes) 56.509 * * [simplify]: Extracting #0: cost 1 inf + 0 56.509 * * [simplify]: Extracting #1: cost 18 inf + 0 56.509 * * [simplify]: Extracting #2: cost 80 inf + 0 56.510 * * [simplify]: Extracting #3: cost 151 inf + 3 56.511 * * [simplify]: Extracting #4: cost 197 inf + 211 56.514 * * [simplify]: Extracting #5: cost 173 inf + 8901 56.526 * * [simplify]: Extracting #6: cost 62 inf + 38307 56.539 * * [simplify]: Extracting #7: cost 3 inf + 76354 56.555 * * [simplify]: Extracting #8: cost 0 inf + 77351 56.584 * [simplify]: Simplified to (+ (* -1/2 (* (sqrt (* PI n)) (+ (* (* k (sqrt 2)) (log n)) (* (log (* PI 2)) (* k (sqrt 2)))))) (+ (* (sqrt (* PI n)) (+ (* (* (* (* k k) (log n)) (* (log (* PI 2)) (sqrt 2))) 1/4) (sqrt 2))) (* (sqrt (* PI n)) (+ (* (* 1/8 (sqrt 2)) (* (* k (log n)) (* k (log n)))) (* (* 1/8 (sqrt 2)) (* (* k (log (* PI 2))) (* k (log (* PI 2))))))))) 56.584 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* -1/2 (* (sqrt (* PI n)) (+ (* (* k (sqrt 2)) (log n)) (* (log (* PI 2)) (* k (sqrt 2)))))) (+ (* (sqrt (* PI n)) (+ (* (* (* (* k k) (log n)) (* (log (* PI 2)) (sqrt 2))) 1/4) (sqrt 2))) (* (sqrt (* PI n)) (+ (* (* 1/8 (sqrt 2)) (* (* k (log n)) (* k (log n)))) (* (* 1/8 (sqrt 2)) (* (* k (log (* PI 2))) (* k (log (* PI 2))))))))) (sqrt k))) 56.585 * * * * [progress]: [ 170 / 174 ] simplifiying candidate # 56.585 * [simplify]: Simplifying (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 56.586 * * [simplify]: iters left: 6 (19 enodes) 56.592 * * [simplify]: iters left: 5 (84 enodes) 56.612 * * [simplify]: iters left: 4 (176 enodes) 56.669 * * [simplify]: iters left: 3 (493 enodes) 56.861 * * [simplify]: Extracting #0: cost 1 inf + 0 56.861 * * [simplify]: Extracting #1: cost 24 inf + 0 56.861 * * [simplify]: Extracting #2: cost 169 inf + 0 56.864 * * [simplify]: Extracting #3: cost 344 inf + 756 56.871 * * [simplify]: Extracting #4: cost 258 inf + 23195 56.889 * * [simplify]: Extracting #5: cost 69 inf + 68029 56.904 * * [simplify]: Extracting #6: cost 11 inf + 93267 56.921 * * [simplify]: Extracting #7: cost 0 inf + 101963 56.937 * * [simplify]: Extracting #8: cost 0 inf + 101675 56.956 * * [simplify]: Extracting #9: cost 0 inf + 101635 56.986 * [simplify]: Simplified to (exp (* (+ (* 1/2 (log n)) (* (log (* 2 PI)) 1/2)) (- 1 k))) 56.987 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (+ (* 1/2 (log n)) (* (log (* 2 PI)) 1/2)) (- 1 k))) (sqrt k))) 56.987 * * * * [progress]: [ 171 / 174 ] simplifiying candidate # 56.987 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) 56.987 * * [simplify]: iters left: 6 (21 enodes) 56.993 * * [simplify]: iters left: 5 (88 enodes) 57.010 * * [simplify]: iters left: 4 (185 enodes) 57.062 * * [simplify]: Extracting #0: cost 1 inf + 0 57.062 * * [simplify]: Extracting #1: cost 17 inf + 0 57.062 * * [simplify]: Extracting #2: cost 84 inf + 0 57.062 * * [simplify]: Extracting #3: cost 185 inf + 2 57.063 * * [simplify]: Extracting #4: cost 183 inf + 2440 57.066 * * [simplify]: Extracting #5: cost 93 inf + 20778 57.072 * * [simplify]: Extracting #6: cost 19 inf + 38465 57.080 * * [simplify]: Extracting #7: cost 0 inf + 45590 57.087 * * [simplify]: Extracting #8: cost 0 inf + 44560 57.094 * [simplify]: Simplified to (exp (* (+ (+ 0 (log n)) (log (* PI 2))) (* (- 1 k) 1/2))) 57.094 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (+ (+ 0 (log n)) (log (* PI 2))) (* (- 1 k) 1/2))) (sqrt k))) 57.094 * * * * [progress]: [ 172 / 174 ] simplifiying candidate # 57.095 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))) 57.095 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 57.095 * * * * [progress]: [ 173 / 174 ] simplifiying candidate # 57.096 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 3)))))))) 57.096 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 57.096 * * * * [progress]: [ 174 / 174 ] simplifiying candidate # 57.096 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) k))))))) 57.096 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 57.097 * * * [progress]: adding candidates to table 59.562 * * [progress]: iteration 3 / 4 59.562 * * * [progress]: picking best candidate 59.590 * * * * [pick]: Picked # 59.590 * * * [progress]: localizing error 59.628 * * * [progress]: generating rewritten candidates 59.629 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 59.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 59.648 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 59.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 59.784 * * * [progress]: generating series expansions 59.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 59.784 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 59.784 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 59.784 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 59.784 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 59.784 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 59.784 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.784 * [taylor]: Taking taylor expansion of 1/2 in k 59.784 * [backup-simplify]: Simplify 1/2 into 1/2 59.784 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.784 * [taylor]: Taking taylor expansion of 1 in k 59.784 * [backup-simplify]: Simplify 1 into 1 59.784 * [taylor]: Taking taylor expansion of k in k 59.784 * [backup-simplify]: Simplify 0 into 0 59.784 * [backup-simplify]: Simplify 1 into 1 59.784 * [taylor]: Taking taylor expansion of (log n) in k 59.784 * [taylor]: Taking taylor expansion of n in k 59.784 * [backup-simplify]: Simplify n into n 59.784 * [backup-simplify]: Simplify (log n) into (log n) 59.785 * [backup-simplify]: Simplify (- 0) into 0 59.785 * [backup-simplify]: Simplify (+ 1 0) into 1 59.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.786 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 59.786 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 59.786 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 59.786 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 59.786 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 59.786 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.786 * [taylor]: Taking taylor expansion of 1/2 in n 59.786 * [backup-simplify]: Simplify 1/2 into 1/2 59.786 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.786 * [taylor]: Taking taylor expansion of 1 in n 59.786 * [backup-simplify]: Simplify 1 into 1 59.786 * [taylor]: Taking taylor expansion of k in n 59.786 * [backup-simplify]: Simplify k into k 59.786 * [taylor]: Taking taylor expansion of (log n) in n 59.786 * [taylor]: Taking taylor expansion of n in n 59.786 * [backup-simplify]: Simplify 0 into 0 59.786 * [backup-simplify]: Simplify 1 into 1 59.786 * [backup-simplify]: Simplify (log 1) into 0 59.786 * [backup-simplify]: Simplify (- k) into (- k) 59.786 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.787 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.787 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.787 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 59.787 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 59.787 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 59.787 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 59.787 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 59.787 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.787 * [taylor]: Taking taylor expansion of 1/2 in n 59.787 * [backup-simplify]: Simplify 1/2 into 1/2 59.787 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.787 * [taylor]: Taking taylor expansion of 1 in n 59.787 * [backup-simplify]: Simplify 1 into 1 59.787 * [taylor]: Taking taylor expansion of k in n 59.787 * [backup-simplify]: Simplify k into k 59.787 * [taylor]: Taking taylor expansion of (log n) in n 59.787 * [taylor]: Taking taylor expansion of n in n 59.787 * [backup-simplify]: Simplify 0 into 0 59.787 * [backup-simplify]: Simplify 1 into 1 59.787 * [backup-simplify]: Simplify (log 1) into 0 59.787 * [backup-simplify]: Simplify (- k) into (- k) 59.788 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.788 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.788 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 59.788 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 59.788 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 59.788 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 59.788 * [taylor]: Taking taylor expansion of 1/2 in k 59.788 * [backup-simplify]: Simplify 1/2 into 1/2 59.788 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 59.788 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.788 * [taylor]: Taking taylor expansion of 1 in k 59.788 * [backup-simplify]: Simplify 1 into 1 59.788 * [taylor]: Taking taylor expansion of k in k 59.788 * [backup-simplify]: Simplify 0 into 0 59.788 * [backup-simplify]: Simplify 1 into 1 59.788 * [taylor]: Taking taylor expansion of (log n) in k 59.788 * [taylor]: Taking taylor expansion of n in k 59.788 * [backup-simplify]: Simplify n into n 59.788 * [backup-simplify]: Simplify (log n) into (log n) 59.789 * [backup-simplify]: Simplify (- 0) into 0 59.789 * [backup-simplify]: Simplify (+ 1 0) into 1 59.789 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 59.789 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 59.789 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 59.789 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 59.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 59.790 * [backup-simplify]: Simplify (- 0) into 0 59.790 * [backup-simplify]: Simplify (+ 0 0) into 0 59.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 59.791 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.791 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 59.792 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 59.792 * [taylor]: Taking taylor expansion of 0 in k 59.792 * [backup-simplify]: Simplify 0 into 0 59.792 * [backup-simplify]: Simplify 0 into 0 59.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 59.793 * [backup-simplify]: Simplify (- 1) into -1 59.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.793 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 59.793 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 59.793 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 59.793 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 59.795 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 59.796 * [backup-simplify]: Simplify (- 0) into 0 59.796 * [backup-simplify]: Simplify (+ 0 0) into 0 59.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 59.797 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.797 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 59.798 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 59.798 * [taylor]: Taking taylor expansion of 0 in k 59.798 * [backup-simplify]: Simplify 0 into 0 59.798 * [backup-simplify]: Simplify 0 into 0 59.798 * [backup-simplify]: Simplify 0 into 0 59.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 59.799 * [backup-simplify]: Simplify (- 0) into 0 59.799 * [backup-simplify]: Simplify (+ 0 0) into 0 59.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 59.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 59.801 * [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))) 59.801 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 59.801 * [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)))) 59.801 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 59.801 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 59.801 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 59.801 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 59.801 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 59.801 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 59.801 * [taylor]: Taking taylor expansion of 1/2 in k 59.801 * [backup-simplify]: Simplify 1/2 into 1/2 59.801 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 59.801 * [taylor]: Taking taylor expansion of 1 in k 59.801 * [backup-simplify]: Simplify 1 into 1 59.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.801 * [taylor]: Taking taylor expansion of k in k 59.801 * [backup-simplify]: Simplify 0 into 0 59.801 * [backup-simplify]: Simplify 1 into 1 59.802 * [backup-simplify]: Simplify (/ 1 1) into 1 59.802 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 59.802 * [taylor]: Taking taylor expansion of (/ 1 n) in k 59.802 * [taylor]: Taking taylor expansion of n in k 59.802 * [backup-simplify]: Simplify n into n 59.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 59.802 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 59.802 * [backup-simplify]: Simplify (- 1) into -1 59.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.803 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 59.803 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 59.803 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 59.803 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 59.803 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 59.803 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 59.803 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 59.803 * [taylor]: Taking taylor expansion of 1/2 in n 59.803 * [backup-simplify]: Simplify 1/2 into 1/2 59.803 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 59.803 * [taylor]: Taking taylor expansion of 1 in n 59.803 * [backup-simplify]: Simplify 1 into 1 59.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 59.803 * [taylor]: Taking taylor expansion of k in n 59.803 * [backup-simplify]: Simplify k into k 59.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 59.803 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 59.803 * [taylor]: Taking taylor expansion of (/ 1 n) in n 59.803 * [taylor]: Taking taylor expansion of n in n 59.803 * [backup-simplify]: Simplify 0 into 0 59.803 * [backup-simplify]: Simplify 1 into 1 59.803 * [backup-simplify]: Simplify (/ 1 1) into 1 59.804 * [backup-simplify]: Simplify (log 1) into 0 59.804 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 59.804 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 59.804 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 59.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 59.804 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 59.804 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 59.804 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 59.804 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 59.804 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 59.804 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 59.804 * [taylor]: Taking taylor expansion of 1/2 in n 59.804 * [backup-simplify]: Simplify 1/2 into 1/2 59.804 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 59.804 * [taylor]: Taking taylor expansion of 1 in n 59.804 * [backup-simplify]: Simplify 1 into 1 59.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 59.804 * [taylor]: Taking taylor expansion of k in n 59.804 * [backup-simplify]: Simplify k into k 59.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 59.805 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 59.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 59.805 * [taylor]: Taking taylor expansion of n in n 59.805 * [backup-simplify]: Simplify 0 into 0 59.805 * [backup-simplify]: Simplify 1 into 1 59.805 * [backup-simplify]: Simplify (/ 1 1) into 1 59.805 * [backup-simplify]: Simplify (log 1) into 0 59.805 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 59.805 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 59.805 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 59.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 59.806 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 59.806 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 59.806 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 59.806 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 59.806 * [taylor]: Taking taylor expansion of -1/2 in k 59.806 * [backup-simplify]: Simplify -1/2 into -1/2 59.806 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 59.806 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 59.806 * [taylor]: Taking taylor expansion of 1 in k 59.806 * [backup-simplify]: Simplify 1 into 1 59.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.806 * [taylor]: Taking taylor expansion of k in k 59.806 * [backup-simplify]: Simplify 0 into 0 59.806 * [backup-simplify]: Simplify 1 into 1 59.806 * [backup-simplify]: Simplify (/ 1 1) into 1 59.806 * [taylor]: Taking taylor expansion of (log n) in k 59.806 * [taylor]: Taking taylor expansion of n in k 59.806 * [backup-simplify]: Simplify n into n 59.806 * [backup-simplify]: Simplify (log n) into (log n) 59.807 * [backup-simplify]: Simplify (- 1) into -1 59.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.807 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 59.807 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 59.807 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 59.807 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 59.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 59.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 59.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 59.809 * [backup-simplify]: Simplify (- 0) into 0 59.809 * [backup-simplify]: Simplify (+ 0 0) into 0 59.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 59.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 59.810 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 59.810 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 59.810 * [taylor]: Taking taylor expansion of 0 in k 59.810 * [backup-simplify]: Simplify 0 into 0 59.810 * [backup-simplify]: Simplify 0 into 0 59.810 * [backup-simplify]: Simplify 0 into 0 59.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 59.814 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 59.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 59.815 * [backup-simplify]: Simplify (- 0) into 0 59.815 * [backup-simplify]: Simplify (+ 0 0) into 0 59.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 59.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 59.817 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 59.818 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 59.818 * [taylor]: Taking taylor expansion of 0 in k 59.818 * [backup-simplify]: Simplify 0 into 0 59.818 * [backup-simplify]: Simplify 0 into 0 59.818 * [backup-simplify]: Simplify 0 into 0 59.818 * [backup-simplify]: Simplify 0 into 0 59.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 59.824 * [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 59.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 59.825 * [backup-simplify]: Simplify (- 0) into 0 59.825 * [backup-simplify]: Simplify (+ 0 0) into 0 59.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 59.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 59.829 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 59.830 * [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 59.831 * [taylor]: Taking taylor expansion of 0 in k 59.831 * [backup-simplify]: Simplify 0 into 0 59.831 * [backup-simplify]: Simplify 0 into 0 59.831 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 59.831 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 59.831 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 59.831 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 59.831 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 59.831 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 59.831 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 59.831 * [taylor]: Taking taylor expansion of 1/2 in k 59.831 * [backup-simplify]: Simplify 1/2 into 1/2 59.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 59.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.831 * [taylor]: Taking taylor expansion of k in k 59.831 * [backup-simplify]: Simplify 0 into 0 59.831 * [backup-simplify]: Simplify 1 into 1 59.832 * [backup-simplify]: Simplify (/ 1 1) into 1 59.832 * [taylor]: Taking taylor expansion of 1 in k 59.832 * [backup-simplify]: Simplify 1 into 1 59.832 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 59.832 * [taylor]: Taking taylor expansion of (/ -1 n) in k 59.832 * [taylor]: Taking taylor expansion of -1 in k 59.832 * [backup-simplify]: Simplify -1 into -1 59.832 * [taylor]: Taking taylor expansion of n in k 59.832 * [backup-simplify]: Simplify n into n 59.832 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 59.832 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 59.833 * [backup-simplify]: Simplify (+ 1 0) into 1 59.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.833 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 59.833 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 59.833 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 59.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 59.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 59.833 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 59.833 * [taylor]: Taking taylor expansion of 1/2 in n 59.833 * [backup-simplify]: Simplify 1/2 into 1/2 59.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 59.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 59.833 * [taylor]: Taking taylor expansion of k in n 59.833 * [backup-simplify]: Simplify k into k 59.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 59.834 * [taylor]: Taking taylor expansion of 1 in n 59.834 * [backup-simplify]: Simplify 1 into 1 59.834 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 59.834 * [taylor]: Taking taylor expansion of (/ -1 n) in n 59.834 * [taylor]: Taking taylor expansion of -1 in n 59.834 * [backup-simplify]: Simplify -1 into -1 59.834 * [taylor]: Taking taylor expansion of n in n 59.834 * [backup-simplify]: Simplify 0 into 0 59.834 * [backup-simplify]: Simplify 1 into 1 59.834 * [backup-simplify]: Simplify (/ -1 1) into -1 59.835 * [backup-simplify]: Simplify (log -1) into (log -1) 59.835 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 59.835 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 59.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 59.836 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 59.837 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 59.837 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 59.837 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 59.837 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 59.837 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 59.837 * [taylor]: Taking taylor expansion of 1/2 in n 59.837 * [backup-simplify]: Simplify 1/2 into 1/2 59.837 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 59.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 59.837 * [taylor]: Taking taylor expansion of k in n 59.837 * [backup-simplify]: Simplify k into k 59.837 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 59.837 * [taylor]: Taking taylor expansion of 1 in n 59.837 * [backup-simplify]: Simplify 1 into 1 59.837 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 59.837 * [taylor]: Taking taylor expansion of (/ -1 n) in n 59.837 * [taylor]: Taking taylor expansion of -1 in n 59.837 * [backup-simplify]: Simplify -1 into -1 59.837 * [taylor]: Taking taylor expansion of n in n 59.837 * [backup-simplify]: Simplify 0 into 0 59.837 * [backup-simplify]: Simplify 1 into 1 59.837 * [backup-simplify]: Simplify (/ -1 1) into -1 59.838 * [backup-simplify]: Simplify (log -1) into (log -1) 59.838 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 59.838 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 59.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 59.839 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 59.840 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 59.840 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 59.840 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 59.840 * [taylor]: Taking taylor expansion of 1/2 in k 59.840 * [backup-simplify]: Simplify 1/2 into 1/2 59.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 59.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 59.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.840 * [taylor]: Taking taylor expansion of k in k 59.840 * [backup-simplify]: Simplify 0 into 0 59.840 * [backup-simplify]: Simplify 1 into 1 59.841 * [backup-simplify]: Simplify (/ 1 1) into 1 59.841 * [taylor]: Taking taylor expansion of 1 in k 59.841 * [backup-simplify]: Simplify 1 into 1 59.841 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 59.841 * [taylor]: Taking taylor expansion of (log -1) in k 59.841 * [taylor]: Taking taylor expansion of -1 in k 59.841 * [backup-simplify]: Simplify -1 into -1 59.847 * [backup-simplify]: Simplify (log -1) into (log -1) 59.847 * [taylor]: Taking taylor expansion of (log n) in k 59.847 * [taylor]: Taking taylor expansion of n in k 59.847 * [backup-simplify]: Simplify n into n 59.847 * [backup-simplify]: Simplify (log n) into (log n) 59.848 * [backup-simplify]: Simplify (+ 1 0) into 1 59.848 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 59.848 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 59.849 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 59.849 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 59.850 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 59.850 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 59.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 59.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 59.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 59.853 * [backup-simplify]: Simplify (+ 0 0) into 0 59.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 59.855 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 59.855 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 59.856 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 59.856 * [taylor]: Taking taylor expansion of 0 in k 59.856 * [backup-simplify]: Simplify 0 into 0 59.856 * [backup-simplify]: Simplify 0 into 0 59.856 * [backup-simplify]: Simplify 0 into 0 59.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 59.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 59.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 59.858 * [backup-simplify]: Simplify (+ 0 0) into 0 59.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 59.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 59.860 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 59.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 59.861 * [taylor]: Taking taylor expansion of 0 in k 59.861 * [backup-simplify]: Simplify 0 into 0 59.861 * [backup-simplify]: Simplify 0 into 0 59.861 * [backup-simplify]: Simplify 0 into 0 59.861 * [backup-simplify]: Simplify 0 into 0 59.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 59.865 * [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 59.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 59.865 * [backup-simplify]: Simplify (+ 0 0) into 0 59.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 59.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 59.867 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 59.869 * [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 59.869 * [taylor]: Taking taylor expansion of 0 in k 59.869 * [backup-simplify]: Simplify 0 into 0 59.869 * [backup-simplify]: Simplify 0 into 0 59.869 * [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)))))) 59.869 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 59.869 * [backup-simplify]: Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k))) 59.869 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0 59.869 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 59.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 59.869 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 59.869 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.869 * [taylor]: Taking taylor expansion of 1/2 in k 59.869 * [backup-simplify]: Simplify 1/2 into 1/2 59.869 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.869 * [taylor]: Taking taylor expansion of 1 in k 59.869 * [backup-simplify]: Simplify 1 into 1 59.869 * [taylor]: Taking taylor expansion of k in k 59.869 * [backup-simplify]: Simplify 0 into 0 59.870 * [backup-simplify]: Simplify 1 into 1 59.870 * [taylor]: Taking taylor expansion of (log PI) in k 59.870 * [taylor]: Taking taylor expansion of PI in k 59.870 * [backup-simplify]: Simplify PI into PI 59.870 * [backup-simplify]: Simplify (log PI) into (log PI) 59.870 * [backup-simplify]: Simplify (- 0) into 0 59.870 * [backup-simplify]: Simplify (+ 1 0) into 1 59.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.871 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.872 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 59.872 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 59.872 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 59.872 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 59.872 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.872 * [taylor]: Taking taylor expansion of 1/2 in k 59.872 * [backup-simplify]: Simplify 1/2 into 1/2 59.872 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.872 * [taylor]: Taking taylor expansion of 1 in k 59.872 * [backup-simplify]: Simplify 1 into 1 59.872 * [taylor]: Taking taylor expansion of k in k 59.872 * [backup-simplify]: Simplify 0 into 0 59.872 * [backup-simplify]: Simplify 1 into 1 59.872 * [taylor]: Taking taylor expansion of (log PI) in k 59.872 * [taylor]: Taking taylor expansion of PI in k 59.872 * [backup-simplify]: Simplify PI into PI 59.873 * [backup-simplify]: Simplify (log PI) into (log PI) 59.873 * [backup-simplify]: Simplify (- 0) into 0 59.873 * [backup-simplify]: Simplify (+ 1 0) into 1 59.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.874 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.875 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 59.875 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2) 59.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 59.876 * [backup-simplify]: Simplify (- 1) into -1 59.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.877 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 59.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 59.883 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 59.885 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 59.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 59.887 * [backup-simplify]: Simplify (- 0) into 0 59.887 * [backup-simplify]: Simplify (+ 0 0) into 0 59.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 59.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 59.901 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 59.904 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 59.910 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 59.911 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k)))) 59.911 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 59.911 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 59.911 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 59.911 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 59.911 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 59.911 * [taylor]: Taking taylor expansion of 1/2 in k 59.911 * [backup-simplify]: Simplify 1/2 into 1/2 59.911 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 59.911 * [taylor]: Taking taylor expansion of 1 in k 59.911 * [backup-simplify]: Simplify 1 into 1 59.911 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.911 * [taylor]: Taking taylor expansion of k in k 59.911 * [backup-simplify]: Simplify 0 into 0 59.911 * [backup-simplify]: Simplify 1 into 1 59.911 * [backup-simplify]: Simplify (/ 1 1) into 1 59.912 * [taylor]: Taking taylor expansion of (log PI) in k 59.912 * [taylor]: Taking taylor expansion of PI in k 59.912 * [backup-simplify]: Simplify PI into PI 59.912 * [backup-simplify]: Simplify (log PI) into (log PI) 59.912 * [backup-simplify]: Simplify (- 1) into -1 59.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.913 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 59.914 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 59.915 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 59.915 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 59.915 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 59.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 59.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 59.915 * [taylor]: Taking taylor expansion of 1/2 in k 59.915 * [backup-simplify]: Simplify 1/2 into 1/2 59.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 59.915 * [taylor]: Taking taylor expansion of 1 in k 59.915 * [backup-simplify]: Simplify 1 into 1 59.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.915 * [taylor]: Taking taylor expansion of k in k 59.915 * [backup-simplify]: Simplify 0 into 0 59.915 * [backup-simplify]: Simplify 1 into 1 59.915 * [backup-simplify]: Simplify (/ 1 1) into 1 59.915 * [taylor]: Taking taylor expansion of (log PI) in k 59.915 * [taylor]: Taking taylor expansion of PI in k 59.915 * [backup-simplify]: Simplify PI into PI 59.916 * [backup-simplify]: Simplify (log PI) into (log PI) 59.916 * [backup-simplify]: Simplify (- 1) into -1 59.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.917 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 59.918 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 59.918 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 59.919 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 59.919 * [backup-simplify]: Simplify 0 into 0 59.919 * [backup-simplify]: Simplify 0 into 0 59.919 * [backup-simplify]: Simplify 0 into 0 59.919 * [backup-simplify]: Simplify 0 into 0 59.919 * [backup-simplify]: Simplify 0 into 0 59.919 * [backup-simplify]: Simplify 0 into 0 59.920 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 59.920 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1))) 59.920 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 59.920 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 59.920 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 59.920 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 59.920 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 59.920 * [taylor]: Taking taylor expansion of 1/2 in k 59.920 * [backup-simplify]: Simplify 1/2 into 1/2 59.920 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 59.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.920 * [taylor]: Taking taylor expansion of k in k 59.920 * [backup-simplify]: Simplify 0 into 0 59.920 * [backup-simplify]: Simplify 1 into 1 59.921 * [backup-simplify]: Simplify (/ 1 1) into 1 59.921 * [taylor]: Taking taylor expansion of 1 in k 59.921 * [backup-simplify]: Simplify 1 into 1 59.921 * [taylor]: Taking taylor expansion of (log PI) in k 59.921 * [taylor]: Taking taylor expansion of PI in k 59.921 * [backup-simplify]: Simplify PI into PI 59.921 * [backup-simplify]: Simplify (log PI) into (log PI) 59.922 * [backup-simplify]: Simplify (+ 1 0) into 1 59.922 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.923 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.924 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 59.924 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 59.924 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 59.924 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 59.924 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 59.924 * [taylor]: Taking taylor expansion of 1/2 in k 59.924 * [backup-simplify]: Simplify 1/2 into 1/2 59.924 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 59.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 59.924 * [taylor]: Taking taylor expansion of k in k 59.924 * [backup-simplify]: Simplify 0 into 0 59.924 * [backup-simplify]: Simplify 1 into 1 59.924 * [backup-simplify]: Simplify (/ 1 1) into 1 59.924 * [taylor]: Taking taylor expansion of 1 in k 59.924 * [backup-simplify]: Simplify 1 into 1 59.925 * [taylor]: Taking taylor expansion of (log PI) in k 59.925 * [taylor]: Taking taylor expansion of PI in k 59.925 * [backup-simplify]: Simplify PI into PI 59.925 * [backup-simplify]: Simplify (log PI) into (log PI) 59.926 * [backup-simplify]: Simplify (+ 1 0) into 1 59.927 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.928 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.928 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 59.929 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 59.929 * [backup-simplify]: Simplify 0 into 0 59.929 * [backup-simplify]: Simplify 0 into 0 59.929 * [backup-simplify]: Simplify 0 into 0 59.929 * [backup-simplify]: Simplify 0 into 0 59.929 * [backup-simplify]: Simplify 0 into 0 59.929 * [backup-simplify]: Simplify 0 into 0 59.930 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 59.930 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 59.930 * [backup-simplify]: Simplify (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) 59.930 * [approximate]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in (n k) around 0 59.930 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 59.930 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 59.930 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 59.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 59.930 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.930 * [taylor]: Taking taylor expansion of 1/2 in k 59.931 * [backup-simplify]: Simplify 1/2 into 1/2 59.931 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.931 * [taylor]: Taking taylor expansion of 1 in k 59.931 * [backup-simplify]: Simplify 1 into 1 59.931 * [taylor]: Taking taylor expansion of k in k 59.931 * [backup-simplify]: Simplify 0 into 0 59.931 * [backup-simplify]: Simplify 1 into 1 59.931 * [taylor]: Taking taylor expansion of (log 2) in k 59.931 * [taylor]: Taking taylor expansion of 2 in k 59.931 * [backup-simplify]: Simplify 2 into 2 59.931 * [backup-simplify]: Simplify (log 2) into (log 2) 59.932 * [backup-simplify]: Simplify (- 0) into 0 59.932 * [backup-simplify]: Simplify (+ 1 0) into 1 59.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.933 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 59.935 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 59.935 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 59.935 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 59.935 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 59.935 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 59.935 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.935 * [taylor]: Taking taylor expansion of 1/2 in k 59.935 * [backup-simplify]: Simplify 1/2 into 1/2 59.935 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.935 * [taylor]: Taking taylor expansion of 1 in k 59.935 * [backup-simplify]: Simplify 1 into 1 59.935 * [taylor]: Taking taylor expansion of k in k 59.935 * [backup-simplify]: Simplify 0 into 0 59.935 * [backup-simplify]: Simplify 1 into 1 59.935 * [taylor]: Taking taylor expansion of (log PI) in k 59.935 * [taylor]: Taking taylor expansion of PI in k 59.935 * [backup-simplify]: Simplify PI into PI 59.936 * [backup-simplify]: Simplify (log PI) into (log PI) 59.936 * [backup-simplify]: Simplify (- 0) into 0 59.937 * [backup-simplify]: Simplify (+ 1 0) into 1 59.937 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.938 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.940 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 59.940 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 59.940 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 59.940 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 59.940 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 59.940 * [taylor]: Taking taylor expansion of 1/2 in k 59.940 * [backup-simplify]: Simplify 1/2 into 1/2 59.940 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.940 * [taylor]: Taking taylor expansion of 1 in k 59.940 * [backup-simplify]: Simplify 1 into 1 59.941 * [taylor]: Taking taylor expansion of k in k 59.941 * [backup-simplify]: Simplify 0 into 0 59.941 * [backup-simplify]: Simplify 1 into 1 59.941 * [taylor]: Taking taylor expansion of (log n) in k 59.941 * [taylor]: Taking taylor expansion of n in k 59.941 * [backup-simplify]: Simplify n into n 59.941 * [backup-simplify]: Simplify (log n) into (log n) 59.941 * [backup-simplify]: Simplify (- 0) into 0 59.942 * [backup-simplify]: Simplify (+ 1 0) into 1 59.942 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 59.942 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 59.942 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 59.942 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 59.942 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 59.942 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 59.942 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 59.942 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.942 * [taylor]: Taking taylor expansion of 1/2 in n 59.942 * [backup-simplify]: Simplify 1/2 into 1/2 59.942 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.942 * [taylor]: Taking taylor expansion of 1 in n 59.942 * [backup-simplify]: Simplify 1 into 1 59.943 * [taylor]: Taking taylor expansion of k in n 59.943 * [backup-simplify]: Simplify k into k 59.943 * [taylor]: Taking taylor expansion of (log 2) in n 59.943 * [taylor]: Taking taylor expansion of 2 in n 59.943 * [backup-simplify]: Simplify 2 into 2 59.943 * [backup-simplify]: Simplify (log 2) into (log 2) 59.943 * [backup-simplify]: Simplify (- k) into (- k) 59.943 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.943 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.944 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 59.944 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 59.944 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 59.944 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 59.944 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 59.944 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 59.944 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.944 * [taylor]: Taking taylor expansion of 1/2 in n 59.944 * [backup-simplify]: Simplify 1/2 into 1/2 59.944 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.944 * [taylor]: Taking taylor expansion of 1 in n 59.944 * [backup-simplify]: Simplify 1 into 1 59.944 * [taylor]: Taking taylor expansion of k in n 59.944 * [backup-simplify]: Simplify k into k 59.944 * [taylor]: Taking taylor expansion of (log PI) in n 59.944 * [taylor]: Taking taylor expansion of PI in n 59.945 * [backup-simplify]: Simplify PI into PI 59.945 * [backup-simplify]: Simplify (log PI) into (log PI) 59.945 * [backup-simplify]: Simplify (- k) into (- k) 59.945 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.945 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.946 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 59.946 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 59.946 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 59.946 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 59.946 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 59.946 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.946 * [taylor]: Taking taylor expansion of 1/2 in n 59.946 * [backup-simplify]: Simplify 1/2 into 1/2 59.946 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.946 * [taylor]: Taking taylor expansion of 1 in n 59.946 * [backup-simplify]: Simplify 1 into 1 59.946 * [taylor]: Taking taylor expansion of k in n 59.946 * [backup-simplify]: Simplify k into k 59.946 * [taylor]: Taking taylor expansion of (log n) in n 59.946 * [taylor]: Taking taylor expansion of n in n 59.946 * [backup-simplify]: Simplify 0 into 0 59.946 * [backup-simplify]: Simplify 1 into 1 59.947 * [backup-simplify]: Simplify (log 1) into 0 59.947 * [backup-simplify]: Simplify (- k) into (- k) 59.947 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.947 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.947 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.948 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 59.948 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 59.948 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 59.948 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 59.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 59.948 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 59.948 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.948 * [taylor]: Taking taylor expansion of 1/2 in n 59.948 * [backup-simplify]: Simplify 1/2 into 1/2 59.948 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.948 * [taylor]: Taking taylor expansion of 1 in n 59.948 * [backup-simplify]: Simplify 1 into 1 59.948 * [taylor]: Taking taylor expansion of k in n 59.948 * [backup-simplify]: Simplify k into k 59.948 * [taylor]: Taking taylor expansion of (log 2) in n 59.948 * [taylor]: Taking taylor expansion of 2 in n 59.948 * [backup-simplify]: Simplify 2 into 2 59.949 * [backup-simplify]: Simplify (log 2) into (log 2) 59.949 * [backup-simplify]: Simplify (- k) into (- k) 59.949 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.949 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.949 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 59.950 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 59.950 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 59.950 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 59.950 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 59.950 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 59.950 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.950 * [taylor]: Taking taylor expansion of 1/2 in n 59.950 * [backup-simplify]: Simplify 1/2 into 1/2 59.950 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.950 * [taylor]: Taking taylor expansion of 1 in n 59.950 * [backup-simplify]: Simplify 1 into 1 59.950 * [taylor]: Taking taylor expansion of k in n 59.950 * [backup-simplify]: Simplify k into k 59.950 * [taylor]: Taking taylor expansion of (log PI) in n 59.950 * [taylor]: Taking taylor expansion of PI in n 59.950 * [backup-simplify]: Simplify PI into PI 59.951 * [backup-simplify]: Simplify (log PI) into (log PI) 59.951 * [backup-simplify]: Simplify (- k) into (- k) 59.951 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.951 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.952 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 59.952 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 59.952 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 59.952 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 59.952 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 59.952 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 59.952 * [taylor]: Taking taylor expansion of 1/2 in n 59.952 * [backup-simplify]: Simplify 1/2 into 1/2 59.952 * [taylor]: Taking taylor expansion of (- 1 k) in n 59.952 * [taylor]: Taking taylor expansion of 1 in n 59.952 * [backup-simplify]: Simplify 1 into 1 59.952 * [taylor]: Taking taylor expansion of k in n 59.952 * [backup-simplify]: Simplify k into k 59.952 * [taylor]: Taking taylor expansion of (log n) in n 59.952 * [taylor]: Taking taylor expansion of n in n 59.952 * [backup-simplify]: Simplify 0 into 0 59.953 * [backup-simplify]: Simplify 1 into 1 59.953 * [backup-simplify]: Simplify (log 1) into 0 59.953 * [backup-simplify]: Simplify (- k) into (- k) 59.953 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 59.953 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 59.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.954 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 59.954 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 59.955 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) 59.956 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 59.956 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 59.956 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 59.956 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 59.956 * [taylor]: Taking taylor expansion of 1/2 in k 59.956 * [backup-simplify]: Simplify 1/2 into 1/2 59.956 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 59.956 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.956 * [taylor]: Taking taylor expansion of 1 in k 59.956 * [backup-simplify]: Simplify 1 into 1 59.956 * [taylor]: Taking taylor expansion of k in k 59.956 * [backup-simplify]: Simplify 0 into 0 59.956 * [backup-simplify]: Simplify 1 into 1 59.956 * [taylor]: Taking taylor expansion of (log 2) in k 59.956 * [taylor]: Taking taylor expansion of 2 in k 59.956 * [backup-simplify]: Simplify 2 into 2 59.957 * [backup-simplify]: Simplify (log 2) into (log 2) 59.957 * [backup-simplify]: Simplify (- 0) into 0 59.958 * [backup-simplify]: Simplify (+ 1 0) into 1 59.959 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 59.960 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 59.961 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 59.961 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 59.961 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 59.961 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 59.961 * [taylor]: Taking taylor expansion of 1/2 in k 59.961 * [backup-simplify]: Simplify 1/2 into 1/2 59.961 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 59.961 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.961 * [taylor]: Taking taylor expansion of 1 in k 59.961 * [backup-simplify]: Simplify 1 into 1 59.961 * [taylor]: Taking taylor expansion of k in k 59.962 * [backup-simplify]: Simplify 0 into 0 59.962 * [backup-simplify]: Simplify 1 into 1 59.962 * [taylor]: Taking taylor expansion of (log PI) in k 59.962 * [taylor]: Taking taylor expansion of PI in k 59.962 * [backup-simplify]: Simplify PI into PI 59.962 * [backup-simplify]: Simplify (log PI) into (log PI) 59.962 * [backup-simplify]: Simplify (- 0) into 0 59.963 * [backup-simplify]: Simplify (+ 1 0) into 1 59.964 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 59.965 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 59.966 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 59.966 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 59.966 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 59.966 * [taylor]: Taking taylor expansion of 1/2 in k 59.966 * [backup-simplify]: Simplify 1/2 into 1/2 59.966 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 59.966 * [taylor]: Taking taylor expansion of (- 1 k) in k 59.966 * [taylor]: Taking taylor expansion of 1 in k 59.966 * [backup-simplify]: Simplify 1 into 1 59.966 * [taylor]: Taking taylor expansion of k in k 59.966 * [backup-simplify]: Simplify 0 into 0 59.966 * [backup-simplify]: Simplify 1 into 1 59.966 * [taylor]: Taking taylor expansion of (log n) in k 59.966 * [taylor]: Taking taylor expansion of n in k 59.966 * [backup-simplify]: Simplify n into n 59.967 * [backup-simplify]: Simplify (log n) into (log n) 59.967 * [backup-simplify]: Simplify (- 0) into 0 59.967 * [backup-simplify]: Simplify (+ 1 0) into 1 59.967 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 59.967 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 59.968 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 59.968 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 59.969 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 59.969 * [backup-simplify]: Simplify (sqrt (* PI (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 59.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 59.970 * [backup-simplify]: Simplify (- 0) into 0 59.971 * [backup-simplify]: Simplify (+ 0 0) into 0 59.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 59.972 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 59.972 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 59.973 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 59.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 59.981 * [backup-simplify]: Simplify (- 0) into 0 59.981 * [backup-simplify]: Simplify (+ 0 0) into 0 59.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 59.982 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 59.983 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 59.984 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 59.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 59.985 * [backup-simplify]: Simplify (- 0) into 0 59.985 * [backup-simplify]: Simplify (+ 0 0) into 0 59.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 59.986 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 59.986 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 59.987 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 59.987 * [taylor]: Taking taylor expansion of 0 in k 59.987 * [backup-simplify]: Simplify 0 into 0 59.987 * [backup-simplify]: Simplify 0 into 0 59.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 59.988 * [backup-simplify]: Simplify (- 1) into -1 59.988 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.988 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 59.989 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 59.989 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 59.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 59.990 * [backup-simplify]: Simplify (- 1) into -1 59.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 59.991 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 59.993 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 59.998 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 60.000 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 60.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.001 * [backup-simplify]: Simplify (- 1) into -1 60.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.002 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 60.004 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 60.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 60.011 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 60.014 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 60.015 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 60.016 * [backup-simplify]: Simplify (- 0) into 0 60.016 * [backup-simplify]: Simplify (+ 0 0) into 0 60.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.017 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 60.018 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.021 * [backup-simplify]: Simplify (- 0) into 0 60.022 * [backup-simplify]: Simplify (+ 0 0) into 0 60.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.023 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.024 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.025 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 60.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.026 * [backup-simplify]: Simplify (- 0) into 0 60.027 * [backup-simplify]: Simplify (+ 0 0) into 0 60.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.028 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.029 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.030 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 60.030 * [taylor]: Taking taylor expansion of 0 in k 60.030 * [backup-simplify]: Simplify 0 into 0 60.030 * [backup-simplify]: Simplify 0 into 0 60.030 * [backup-simplify]: Simplify 0 into 0 60.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 60.031 * [backup-simplify]: Simplify (- 0) into 0 60.031 * [backup-simplify]: Simplify (+ 0 0) into 0 60.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 60.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 60.033 * [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))) 60.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.035 * [backup-simplify]: Simplify (- 0) into 0 60.035 * [backup-simplify]: Simplify (+ 0 0) into 0 60.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 60.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 60.043 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 60.047 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 60.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.049 * [backup-simplify]: Simplify (- 0) into 0 60.049 * [backup-simplify]: Simplify (+ 0 0) into 0 60.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 60.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 60.057 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 60.062 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 60.077 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))))))))) 60.092 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* k 1)) (* (sqrt 2) (sqrt (* n PI))))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* (sqrt 2) (sqrt (* n PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (pow k 2) (log PI)))) (sqrt (* PI n)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI))))))) 60.092 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) 60.092 * [approximate]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in (n k) around 0 60.092 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 60.092 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 60.092 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 60.092 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 60.092 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.092 * [taylor]: Taking taylor expansion of 1/2 in k 60.092 * [backup-simplify]: Simplify 1/2 into 1/2 60.092 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.092 * [taylor]: Taking taylor expansion of 1 in k 60.092 * [backup-simplify]: Simplify 1 into 1 60.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.092 * [taylor]: Taking taylor expansion of k in k 60.092 * [backup-simplify]: Simplify 0 into 0 60.092 * [backup-simplify]: Simplify 1 into 1 60.093 * [backup-simplify]: Simplify (/ 1 1) into 1 60.093 * [taylor]: Taking taylor expansion of (log PI) in k 60.093 * [taylor]: Taking taylor expansion of PI in k 60.093 * [backup-simplify]: Simplify PI into PI 60.093 * [backup-simplify]: Simplify (log PI) into (log PI) 60.093 * [backup-simplify]: Simplify (- 1) into -1 60.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.094 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.094 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 60.095 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.095 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 60.095 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 60.095 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 60.095 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 60.095 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.095 * [taylor]: Taking taylor expansion of 1/2 in k 60.095 * [backup-simplify]: Simplify 1/2 into 1/2 60.095 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.095 * [taylor]: Taking taylor expansion of 1 in k 60.095 * [backup-simplify]: Simplify 1 into 1 60.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.095 * [taylor]: Taking taylor expansion of k in k 60.095 * [backup-simplify]: Simplify 0 into 0 60.095 * [backup-simplify]: Simplify 1 into 1 60.095 * [backup-simplify]: Simplify (/ 1 1) into 1 60.095 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 60.095 * [taylor]: Taking taylor expansion of (/ 1 n) in k 60.095 * [taylor]: Taking taylor expansion of n in k 60.095 * [backup-simplify]: Simplify n into n 60.095 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 60.095 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 60.096 * [backup-simplify]: Simplify (- 1) into -1 60.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.096 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.096 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 60.096 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 60.096 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 60.096 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 60.096 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 60.096 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.096 * [taylor]: Taking taylor expansion of 1/2 in k 60.096 * [backup-simplify]: Simplify 1/2 into 1/2 60.096 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.096 * [taylor]: Taking taylor expansion of 1 in k 60.097 * [backup-simplify]: Simplify 1 into 1 60.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.097 * [taylor]: Taking taylor expansion of k in k 60.097 * [backup-simplify]: Simplify 0 into 0 60.097 * [backup-simplify]: Simplify 1 into 1 60.097 * [backup-simplify]: Simplify (/ 1 1) into 1 60.097 * [taylor]: Taking taylor expansion of (log 2) in k 60.097 * [taylor]: Taking taylor expansion of 2 in k 60.097 * [backup-simplify]: Simplify 2 into 2 60.097 * [backup-simplify]: Simplify (log 2) into (log 2) 60.097 * [backup-simplify]: Simplify (- 1) into -1 60.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.098 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.098 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 60.099 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.099 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 60.099 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 60.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 60.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 60.099 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.099 * [taylor]: Taking taylor expansion of 1/2 in n 60.099 * [backup-simplify]: Simplify 1/2 into 1/2 60.099 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.099 * [taylor]: Taking taylor expansion of 1 in n 60.099 * [backup-simplify]: Simplify 1 into 1 60.099 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.099 * [taylor]: Taking taylor expansion of k in n 60.099 * [backup-simplify]: Simplify k into k 60.099 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.099 * [taylor]: Taking taylor expansion of (log PI) in n 60.099 * [taylor]: Taking taylor expansion of PI in n 60.099 * [backup-simplify]: Simplify PI into PI 60.099 * [backup-simplify]: Simplify (log PI) into (log PI) 60.099 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.099 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.099 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.100 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 60.100 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.100 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 60.100 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 60.100 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 60.100 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 60.100 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.100 * [taylor]: Taking taylor expansion of 1/2 in n 60.100 * [backup-simplify]: Simplify 1/2 into 1/2 60.100 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.100 * [taylor]: Taking taylor expansion of 1 in n 60.100 * [backup-simplify]: Simplify 1 into 1 60.100 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.100 * [taylor]: Taking taylor expansion of k in n 60.100 * [backup-simplify]: Simplify k into k 60.100 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.100 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 60.100 * [taylor]: Taking taylor expansion of (/ 1 n) in n 60.100 * [taylor]: Taking taylor expansion of n in n 60.100 * [backup-simplify]: Simplify 0 into 0 60.100 * [backup-simplify]: Simplify 1 into 1 60.101 * [backup-simplify]: Simplify (/ 1 1) into 1 60.101 * [backup-simplify]: Simplify (log 1) into 0 60.101 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.101 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.101 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.101 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 60.102 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.102 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 60.102 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 60.102 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 60.102 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.102 * [taylor]: Taking taylor expansion of 1/2 in n 60.102 * [backup-simplify]: Simplify 1/2 into 1/2 60.102 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.102 * [taylor]: Taking taylor expansion of 1 in n 60.102 * [backup-simplify]: Simplify 1 into 1 60.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.102 * [taylor]: Taking taylor expansion of k in n 60.102 * [backup-simplify]: Simplify k into k 60.102 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.102 * [taylor]: Taking taylor expansion of (log 2) in n 60.102 * [taylor]: Taking taylor expansion of 2 in n 60.102 * [backup-simplify]: Simplify 2 into 2 60.102 * [backup-simplify]: Simplify (log 2) into (log 2) 60.102 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.102 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.102 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.103 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 60.103 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.103 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 60.103 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 60.103 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 60.103 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 60.103 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.103 * [taylor]: Taking taylor expansion of 1/2 in n 60.103 * [backup-simplify]: Simplify 1/2 into 1/2 60.103 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.103 * [taylor]: Taking taylor expansion of 1 in n 60.103 * [backup-simplify]: Simplify 1 into 1 60.103 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.103 * [taylor]: Taking taylor expansion of k in n 60.103 * [backup-simplify]: Simplify k into k 60.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.103 * [taylor]: Taking taylor expansion of (log PI) in n 60.103 * [taylor]: Taking taylor expansion of PI in n 60.103 * [backup-simplify]: Simplify PI into PI 60.103 * [backup-simplify]: Simplify (log PI) into (log PI) 60.103 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.103 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.104 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.104 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 60.104 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.104 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 60.104 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 60.104 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 60.104 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 60.104 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.104 * [taylor]: Taking taylor expansion of 1/2 in n 60.104 * [backup-simplify]: Simplify 1/2 into 1/2 60.104 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.104 * [taylor]: Taking taylor expansion of 1 in n 60.104 * [backup-simplify]: Simplify 1 into 1 60.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.104 * [taylor]: Taking taylor expansion of k in n 60.104 * [backup-simplify]: Simplify k into k 60.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.104 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 60.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 60.104 * [taylor]: Taking taylor expansion of n in n 60.104 * [backup-simplify]: Simplify 0 into 0 60.104 * [backup-simplify]: Simplify 1 into 1 60.105 * [backup-simplify]: Simplify (/ 1 1) into 1 60.105 * [backup-simplify]: Simplify (log 1) into 0 60.105 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.105 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.105 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.105 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 60.106 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.106 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 60.106 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 60.106 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 60.106 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.106 * [taylor]: Taking taylor expansion of 1/2 in n 60.106 * [backup-simplify]: Simplify 1/2 into 1/2 60.106 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.106 * [taylor]: Taking taylor expansion of 1 in n 60.106 * [backup-simplify]: Simplify 1 into 1 60.106 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.106 * [taylor]: Taking taylor expansion of k in n 60.106 * [backup-simplify]: Simplify k into k 60.106 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.106 * [taylor]: Taking taylor expansion of (log 2) in n 60.106 * [taylor]: Taking taylor expansion of 2 in n 60.106 * [backup-simplify]: Simplify 2 into 2 60.106 * [backup-simplify]: Simplify (log 2) into (log 2) 60.106 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.106 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.106 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.107 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 60.107 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.108 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 60.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 60.108 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 60.108 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 60.108 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 60.108 * [taylor]: Taking taylor expansion of 1/2 in k 60.108 * [backup-simplify]: Simplify 1/2 into 1/2 60.108 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 60.108 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.109 * [taylor]: Taking taylor expansion of 1 in k 60.109 * [backup-simplify]: Simplify 1 into 1 60.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.109 * [taylor]: Taking taylor expansion of k in k 60.109 * [backup-simplify]: Simplify 0 into 0 60.109 * [backup-simplify]: Simplify 1 into 1 60.109 * [backup-simplify]: Simplify (/ 1 1) into 1 60.109 * [taylor]: Taking taylor expansion of (log PI) in k 60.109 * [taylor]: Taking taylor expansion of PI in k 60.109 * [backup-simplify]: Simplify PI into PI 60.109 * [backup-simplify]: Simplify (log PI) into (log PI) 60.109 * [backup-simplify]: Simplify (- 1) into -1 60.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.110 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 60.111 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 60.112 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.112 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 60.112 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 60.112 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 60.112 * [taylor]: Taking taylor expansion of -1/2 in k 60.112 * [backup-simplify]: Simplify -1/2 into -1/2 60.112 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 60.112 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.112 * [taylor]: Taking taylor expansion of 1 in k 60.112 * [backup-simplify]: Simplify 1 into 1 60.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.112 * [taylor]: Taking taylor expansion of k in k 60.112 * [backup-simplify]: Simplify 0 into 0 60.112 * [backup-simplify]: Simplify 1 into 1 60.112 * [backup-simplify]: Simplify (/ 1 1) into 1 60.112 * [taylor]: Taking taylor expansion of (log n) in k 60.112 * [taylor]: Taking taylor expansion of n in k 60.112 * [backup-simplify]: Simplify n into n 60.112 * [backup-simplify]: Simplify (log n) into (log n) 60.112 * [backup-simplify]: Simplify (- 1) into -1 60.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.113 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 60.113 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 60.113 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.113 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 60.113 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 60.113 * [taylor]: Taking taylor expansion of 1/2 in k 60.113 * [backup-simplify]: Simplify 1/2 into 1/2 60.113 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 60.113 * [taylor]: Taking taylor expansion of (log 2) in k 60.113 * [taylor]: Taking taylor expansion of 2 in k 60.113 * [backup-simplify]: Simplify 2 into 2 60.113 * [backup-simplify]: Simplify (log 2) into (log 2) 60.114 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.114 * [taylor]: Taking taylor expansion of 1 in k 60.114 * [backup-simplify]: Simplify 1 into 1 60.114 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.114 * [taylor]: Taking taylor expansion of k in k 60.114 * [backup-simplify]: Simplify 0 into 0 60.114 * [backup-simplify]: Simplify 1 into 1 60.114 * [backup-simplify]: Simplify (/ 1 1) into 1 60.114 * [backup-simplify]: Simplify (- 1) into -1 60.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.115 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 60.116 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 60.116 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.117 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 60.117 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 60.118 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 60.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.119 * [backup-simplify]: Simplify (- 0) into 0 60.119 * [backup-simplify]: Simplify (+ 0 0) into 0 60.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.120 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 60.121 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 60.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 60.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.122 * [backup-simplify]: Simplify (- 0) into 0 60.123 * [backup-simplify]: Simplify (+ 0 0) into 0 60.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 60.124 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.124 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 60.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.125 * [backup-simplify]: Simplify (- 0) into 0 60.126 * [backup-simplify]: Simplify (+ 0 0) into 0 60.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 60.127 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.128 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 60.128 * [taylor]: Taking taylor expansion of 0 in k 60.128 * [backup-simplify]: Simplify 0 into 0 60.128 * [backup-simplify]: Simplify 0 into 0 60.128 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 60.129 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 60.129 * [backup-simplify]: Simplify 0 into 0 60.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.131 * [backup-simplify]: Simplify (- 0) into 0 60.131 * [backup-simplify]: Simplify (+ 0 0) into 0 60.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.132 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.133 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 60.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.136 * [backup-simplify]: Simplify (- 0) into 0 60.136 * [backup-simplify]: Simplify (+ 0 0) into 0 60.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.137 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.137 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 60.138 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.139 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 60.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.141 * [backup-simplify]: Simplify (- 0) into 0 60.141 * [backup-simplify]: Simplify (+ 0 0) into 0 60.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.142 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.143 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.144 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 60.144 * [taylor]: Taking taylor expansion of 0 in k 60.144 * [backup-simplify]: Simplify 0 into 0 60.144 * [backup-simplify]: Simplify 0 into 0 60.144 * [backup-simplify]: Simplify 0 into 0 60.145 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 60.145 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 60.146 * [backup-simplify]: Simplify 0 into 0 60.149 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 60.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.149 * [backup-simplify]: Simplify (- 0) into 0 60.149 * [backup-simplify]: Simplify (+ 0 0) into 0 60.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.151 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 60.153 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.157 * [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 60.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.158 * [backup-simplify]: Simplify (- 0) into 0 60.158 * [backup-simplify]: Simplify (+ 0 0) into 0 60.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.159 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 60.161 * [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 60.165 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 60.168 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 60.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.169 * [backup-simplify]: Simplify (- 0) into 0 60.169 * [backup-simplify]: Simplify (+ 0 0) into 0 60.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.171 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 60.172 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.173 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 60.173 * [taylor]: Taking taylor expansion of 0 in k 60.173 * [backup-simplify]: Simplify 0 into 0 60.173 * [backup-simplify]: Simplify 0 into 0 60.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))) into (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 60.174 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) 60.174 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in (n k) around 0 60.174 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 60.174 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 60.174 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 60.174 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 60.174 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.174 * [taylor]: Taking taylor expansion of 1/2 in k 60.174 * [backup-simplify]: Simplify 1/2 into 1/2 60.174 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.174 * [taylor]: Taking taylor expansion of k in k 60.174 * [backup-simplify]: Simplify 0 into 0 60.174 * [backup-simplify]: Simplify 1 into 1 60.175 * [backup-simplify]: Simplify (/ 1 1) into 1 60.175 * [taylor]: Taking taylor expansion of 1 in k 60.175 * [backup-simplify]: Simplify 1 into 1 60.175 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 60.175 * [taylor]: Taking taylor expansion of (/ -1 n) in k 60.175 * [taylor]: Taking taylor expansion of -1 in k 60.175 * [backup-simplify]: Simplify -1 into -1 60.175 * [taylor]: Taking taylor expansion of n in k 60.175 * [backup-simplify]: Simplify n into n 60.175 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 60.175 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 60.175 * [backup-simplify]: Simplify (+ 1 0) into 1 60.175 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.175 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 60.176 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 60.176 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 60.176 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 60.176 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 60.176 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 60.176 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.176 * [taylor]: Taking taylor expansion of 1/2 in k 60.176 * [backup-simplify]: Simplify 1/2 into 1/2 60.176 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.176 * [taylor]: Taking taylor expansion of k in k 60.176 * [backup-simplify]: Simplify 0 into 0 60.176 * [backup-simplify]: Simplify 1 into 1 60.176 * [backup-simplify]: Simplify (/ 1 1) into 1 60.176 * [taylor]: Taking taylor expansion of 1 in k 60.176 * [backup-simplify]: Simplify 1 into 1 60.176 * [taylor]: Taking taylor expansion of (log 2) in k 60.176 * [taylor]: Taking taylor expansion of 2 in k 60.176 * [backup-simplify]: Simplify 2 into 2 60.176 * [backup-simplify]: Simplify (log 2) into (log 2) 60.177 * [backup-simplify]: Simplify (+ 1 0) into 1 60.177 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.178 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.178 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.178 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 60.178 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 60.178 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 60.178 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.178 * [taylor]: Taking taylor expansion of 1/2 in k 60.178 * [backup-simplify]: Simplify 1/2 into 1/2 60.178 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.178 * [taylor]: Taking taylor expansion of k in k 60.178 * [backup-simplify]: Simplify 0 into 0 60.178 * [backup-simplify]: Simplify 1 into 1 60.178 * [backup-simplify]: Simplify (/ 1 1) into 1 60.178 * [taylor]: Taking taylor expansion of 1 in k 60.178 * [backup-simplify]: Simplify 1 into 1 60.178 * [taylor]: Taking taylor expansion of (log PI) in k 60.179 * [taylor]: Taking taylor expansion of PI in k 60.179 * [backup-simplify]: Simplify PI into PI 60.179 * [backup-simplify]: Simplify (log PI) into (log PI) 60.179 * [backup-simplify]: Simplify (+ 1 0) into 1 60.179 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.180 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.180 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.180 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 60.180 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 60.180 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 60.180 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 60.180 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.180 * [taylor]: Taking taylor expansion of 1/2 in n 60.180 * [backup-simplify]: Simplify 1/2 into 1/2 60.180 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.180 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.180 * [taylor]: Taking taylor expansion of k in n 60.180 * [backup-simplify]: Simplify k into k 60.180 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.180 * [taylor]: Taking taylor expansion of 1 in n 60.180 * [backup-simplify]: Simplify 1 into 1 60.180 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 60.181 * [taylor]: Taking taylor expansion of (/ -1 n) in n 60.181 * [taylor]: Taking taylor expansion of -1 in n 60.181 * [backup-simplify]: Simplify -1 into -1 60.181 * [taylor]: Taking taylor expansion of n in n 60.181 * [backup-simplify]: Simplify 0 into 0 60.181 * [backup-simplify]: Simplify 1 into 1 60.181 * [backup-simplify]: Simplify (/ -1 1) into -1 60.181 * [backup-simplify]: Simplify (log -1) into (log -1) 60.181 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.181 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.182 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 60.182 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.183 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 60.183 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 60.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 60.183 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 60.183 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.183 * [taylor]: Taking taylor expansion of 1/2 in n 60.183 * [backup-simplify]: Simplify 1/2 into 1/2 60.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.183 * [taylor]: Taking taylor expansion of k in n 60.183 * [backup-simplify]: Simplify k into k 60.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.183 * [taylor]: Taking taylor expansion of 1 in n 60.183 * [backup-simplify]: Simplify 1 into 1 60.183 * [taylor]: Taking taylor expansion of (log 2) in n 60.183 * [taylor]: Taking taylor expansion of 2 in n 60.183 * [backup-simplify]: Simplify 2 into 2 60.183 * [backup-simplify]: Simplify (log 2) into (log 2) 60.183 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.184 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.184 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 60.185 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.185 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 60.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 60.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 60.185 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.185 * [taylor]: Taking taylor expansion of 1/2 in n 60.185 * [backup-simplify]: Simplify 1/2 into 1/2 60.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.185 * [taylor]: Taking taylor expansion of k in n 60.185 * [backup-simplify]: Simplify k into k 60.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.185 * [taylor]: Taking taylor expansion of 1 in n 60.185 * [backup-simplify]: Simplify 1 into 1 60.185 * [taylor]: Taking taylor expansion of (log PI) in n 60.185 * [taylor]: Taking taylor expansion of PI in n 60.185 * [backup-simplify]: Simplify PI into PI 60.185 * [backup-simplify]: Simplify (log PI) into (log PI) 60.185 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.186 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.186 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 60.187 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.187 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 60.187 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 60.187 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 60.187 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 60.187 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.187 * [taylor]: Taking taylor expansion of 1/2 in n 60.187 * [backup-simplify]: Simplify 1/2 into 1/2 60.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.187 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.187 * [taylor]: Taking taylor expansion of k in n 60.187 * [backup-simplify]: Simplify k into k 60.187 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.187 * [taylor]: Taking taylor expansion of 1 in n 60.187 * [backup-simplify]: Simplify 1 into 1 60.187 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 60.187 * [taylor]: Taking taylor expansion of (/ -1 n) in n 60.187 * [taylor]: Taking taylor expansion of -1 in n 60.187 * [backup-simplify]: Simplify -1 into -1 60.187 * [taylor]: Taking taylor expansion of n in n 60.187 * [backup-simplify]: Simplify 0 into 0 60.187 * [backup-simplify]: Simplify 1 into 1 60.188 * [backup-simplify]: Simplify (/ -1 1) into -1 60.188 * [backup-simplify]: Simplify (log -1) into (log -1) 60.189 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.189 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.189 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.190 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 60.190 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.190 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 60.190 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 60.190 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 60.191 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 60.191 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.191 * [taylor]: Taking taylor expansion of 1/2 in n 60.191 * [backup-simplify]: Simplify 1/2 into 1/2 60.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.191 * [taylor]: Taking taylor expansion of k in n 60.191 * [backup-simplify]: Simplify k into k 60.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.191 * [taylor]: Taking taylor expansion of 1 in n 60.191 * [backup-simplify]: Simplify 1 into 1 60.191 * [taylor]: Taking taylor expansion of (log 2) in n 60.191 * [taylor]: Taking taylor expansion of 2 in n 60.191 * [backup-simplify]: Simplify 2 into 2 60.191 * [backup-simplify]: Simplify (log 2) into (log 2) 60.191 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.191 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.191 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 60.192 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.192 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 60.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 60.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 60.192 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.192 * [taylor]: Taking taylor expansion of 1/2 in n 60.192 * [backup-simplify]: Simplify 1/2 into 1/2 60.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.192 * [taylor]: Taking taylor expansion of k in n 60.192 * [backup-simplify]: Simplify k into k 60.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.192 * [taylor]: Taking taylor expansion of 1 in n 60.192 * [backup-simplify]: Simplify 1 into 1 60.192 * [taylor]: Taking taylor expansion of (log PI) in n 60.192 * [taylor]: Taking taylor expansion of PI in n 60.192 * [backup-simplify]: Simplify PI into PI 60.192 * [backup-simplify]: Simplify (log PI) into (log PI) 60.192 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.192 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.193 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 60.193 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.194 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 60.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.195 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 60.195 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 60.195 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 60.195 * [taylor]: Taking taylor expansion of 1/2 in k 60.195 * [backup-simplify]: Simplify 1/2 into 1/2 60.195 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 60.195 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.195 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.195 * [taylor]: Taking taylor expansion of k in k 60.195 * [backup-simplify]: Simplify 0 into 0 60.195 * [backup-simplify]: Simplify 1 into 1 60.195 * [backup-simplify]: Simplify (/ 1 1) into 1 60.195 * [taylor]: Taking taylor expansion of 1 in k 60.195 * [backup-simplify]: Simplify 1 into 1 60.195 * [taylor]: Taking taylor expansion of (log PI) in k 60.195 * [taylor]: Taking taylor expansion of PI in k 60.195 * [backup-simplify]: Simplify PI into PI 60.195 * [backup-simplify]: Simplify (log PI) into (log PI) 60.196 * [backup-simplify]: Simplify (+ 1 0) into 1 60.196 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 60.197 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.197 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.197 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 60.197 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 60.197 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 60.197 * [taylor]: Taking taylor expansion of 1/2 in k 60.197 * [backup-simplify]: Simplify 1/2 into 1/2 60.197 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 60.197 * [taylor]: Taking taylor expansion of (log 2) in k 60.197 * [taylor]: Taking taylor expansion of 2 in k 60.197 * [backup-simplify]: Simplify 2 into 2 60.197 * [backup-simplify]: Simplify (log 2) into (log 2) 60.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.197 * [taylor]: Taking taylor expansion of k in k 60.198 * [backup-simplify]: Simplify 0 into 0 60.198 * [backup-simplify]: Simplify 1 into 1 60.198 * [backup-simplify]: Simplify (/ 1 1) into 1 60.198 * [taylor]: Taking taylor expansion of 1 in k 60.198 * [backup-simplify]: Simplify 1 into 1 60.198 * [backup-simplify]: Simplify (+ 1 0) into 1 60.199 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 60.199 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.200 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.200 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 60.200 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 60.200 * [taylor]: Taking taylor expansion of 1/2 in k 60.200 * [backup-simplify]: Simplify 1/2 into 1/2 60.200 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 60.200 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.200 * [taylor]: Taking taylor expansion of k in k 60.200 * [backup-simplify]: Simplify 0 into 0 60.200 * [backup-simplify]: Simplify 1 into 1 60.200 * [backup-simplify]: Simplify (/ 1 1) into 1 60.200 * [taylor]: Taking taylor expansion of 1 in k 60.200 * [backup-simplify]: Simplify 1 into 1 60.200 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 60.200 * [taylor]: Taking taylor expansion of (log -1) in k 60.200 * [taylor]: Taking taylor expansion of -1 in k 60.200 * [backup-simplify]: Simplify -1 into -1 60.200 * [backup-simplify]: Simplify (log -1) into (log -1) 60.201 * [taylor]: Taking taylor expansion of (log n) in k 60.201 * [taylor]: Taking taylor expansion of n in k 60.201 * [backup-simplify]: Simplify n into n 60.201 * [backup-simplify]: Simplify (log n) into (log n) 60.201 * [backup-simplify]: Simplify (+ 1 0) into 1 60.201 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 60.201 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 60.202 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 60.202 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 60.202 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.203 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 60.204 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.205 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.206 * [backup-simplify]: Simplify (+ 0 0) into 0 60.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.206 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 60.207 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.209 * [backup-simplify]: Simplify (+ 0 0) into 0 60.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.209 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 60.210 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.211 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 60.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 60.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.212 * [backup-simplify]: Simplify (+ 0 0) into 0 60.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.214 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 60.214 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 60.215 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 60.215 * [taylor]: Taking taylor expansion of 0 in k 60.215 * [backup-simplify]: Simplify 0 into 0 60.215 * [backup-simplify]: Simplify 0 into 0 60.216 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 60.217 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 60.217 * [backup-simplify]: Simplify 0 into 0 60.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.220 * [backup-simplify]: Simplify (+ 0 0) into 0 60.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.221 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.223 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.227 * [backup-simplify]: Simplify (+ 0 0) into 0 60.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.228 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.230 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.231 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 60.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 60.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.236 * [backup-simplify]: Simplify (+ 0 0) into 0 60.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.238 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 60.239 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.241 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 60.241 * [taylor]: Taking taylor expansion of 0 in k 60.241 * [backup-simplify]: Simplify 0 into 0 60.241 * [backup-simplify]: Simplify 0 into 0 60.241 * [backup-simplify]: Simplify 0 into 0 60.242 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 60.243 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 60.243 * [backup-simplify]: Simplify 0 into 0 60.246 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 60.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.246 * [backup-simplify]: Simplify (+ 0 0) into 0 60.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 60.247 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 60.249 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.252 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 60.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.252 * [backup-simplify]: Simplify (+ 0 0) into 0 60.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 60.254 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 60.255 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.256 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))))) into 0 60.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.260 * [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 60.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.260 * [backup-simplify]: Simplify (+ 0 0) into 0 60.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 60.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.267 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 60.268 * [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 60.269 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into 0 60.269 * [taylor]: Taking taylor expansion of 0 in k 60.269 * [backup-simplify]: Simplify 0 into 0 60.269 * [backup-simplify]: Simplify 0 into 0 60.270 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))) into (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 60.270 * * * * [progress]: [ 4 / 4 ] generating series at (2) 60.271 * [backup-simplify]: Simplify (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)) into (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) 60.271 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in (n k) around 0 60.271 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in k 60.271 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in k 60.271 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 60.271 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 60.271 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 60.271 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 60.271 * [taylor]: Taking taylor expansion of 1/2 in k 60.271 * [backup-simplify]: Simplify 1/2 into 1/2 60.271 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.271 * [taylor]: Taking taylor expansion of 1 in k 60.271 * [backup-simplify]: Simplify 1 into 1 60.271 * [taylor]: Taking taylor expansion of k in k 60.271 * [backup-simplify]: Simplify 0 into 0 60.271 * [backup-simplify]: Simplify 1 into 1 60.271 * [taylor]: Taking taylor expansion of (log PI) in k 60.271 * [taylor]: Taking taylor expansion of PI in k 60.271 * [backup-simplify]: Simplify PI into PI 60.272 * [backup-simplify]: Simplify (log PI) into (log PI) 60.272 * [backup-simplify]: Simplify (- 0) into 0 60.272 * [backup-simplify]: Simplify (+ 1 0) into 1 60.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.274 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.275 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 60.275 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in k 60.275 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 60.275 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 60.275 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 60.275 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 60.275 * [taylor]: Taking taylor expansion of 1/2 in k 60.275 * [backup-simplify]: Simplify 1/2 into 1/2 60.275 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.275 * [taylor]: Taking taylor expansion of 1 in k 60.275 * [backup-simplify]: Simplify 1 into 1 60.275 * [taylor]: Taking taylor expansion of k in k 60.275 * [backup-simplify]: Simplify 0 into 0 60.275 * [backup-simplify]: Simplify 1 into 1 60.275 * [taylor]: Taking taylor expansion of (log n) in k 60.275 * [taylor]: Taking taylor expansion of n in k 60.275 * [backup-simplify]: Simplify n into n 60.275 * [backup-simplify]: Simplify (log n) into (log n) 60.275 * [backup-simplify]: Simplify (- 0) into 0 60.276 * [backup-simplify]: Simplify (+ 1 0) into 1 60.276 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.276 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 60.276 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 60.276 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 60.276 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 60.276 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 60.276 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 60.276 * [taylor]: Taking taylor expansion of 1/2 in k 60.276 * [backup-simplify]: Simplify 1/2 into 1/2 60.276 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.276 * [taylor]: Taking taylor expansion of 1 in k 60.276 * [backup-simplify]: Simplify 1 into 1 60.276 * [taylor]: Taking taylor expansion of k in k 60.276 * [backup-simplify]: Simplify 0 into 0 60.276 * [backup-simplify]: Simplify 1 into 1 60.276 * [taylor]: Taking taylor expansion of (log 2) in k 60.276 * [taylor]: Taking taylor expansion of 2 in k 60.276 * [backup-simplify]: Simplify 2 into 2 60.276 * [backup-simplify]: Simplify (log 2) into (log 2) 60.277 * [backup-simplify]: Simplify (- 0) into 0 60.277 * [backup-simplify]: Simplify (+ 1 0) into 1 60.277 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.278 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.279 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 60.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 60.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.279 * [taylor]: Taking taylor expansion of k in k 60.279 * [backup-simplify]: Simplify 0 into 0 60.279 * [backup-simplify]: Simplify 1 into 1 60.279 * [backup-simplify]: Simplify (/ 1 1) into 1 60.279 * [backup-simplify]: Simplify (sqrt 0) into 0 60.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 60.280 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 60.280 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in n 60.280 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 60.280 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 60.280 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 60.280 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.280 * [taylor]: Taking taylor expansion of 1/2 in n 60.280 * [backup-simplify]: Simplify 1/2 into 1/2 60.280 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.280 * [taylor]: Taking taylor expansion of 1 in n 60.280 * [backup-simplify]: Simplify 1 into 1 60.280 * [taylor]: Taking taylor expansion of k in n 60.280 * [backup-simplify]: Simplify k into k 60.280 * [taylor]: Taking taylor expansion of (log PI) in n 60.280 * [taylor]: Taking taylor expansion of PI in n 60.280 * [backup-simplify]: Simplify PI into PI 60.281 * [backup-simplify]: Simplify (log PI) into (log PI) 60.281 * [backup-simplify]: Simplify (- k) into (- k) 60.281 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.281 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.281 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 60.281 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 60.281 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in n 60.281 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 60.281 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 60.281 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 60.281 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.281 * [taylor]: Taking taylor expansion of 1/2 in n 60.281 * [backup-simplify]: Simplify 1/2 into 1/2 60.281 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.282 * [taylor]: Taking taylor expansion of 1 in n 60.282 * [backup-simplify]: Simplify 1 into 1 60.282 * [taylor]: Taking taylor expansion of k in n 60.282 * [backup-simplify]: Simplify k into k 60.282 * [taylor]: Taking taylor expansion of (log n) in n 60.282 * [taylor]: Taking taylor expansion of n in n 60.282 * [backup-simplify]: Simplify 0 into 0 60.282 * [backup-simplify]: Simplify 1 into 1 60.282 * [backup-simplify]: Simplify (log 1) into 0 60.282 * [backup-simplify]: Simplify (- k) into (- k) 60.282 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.282 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.282 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 60.282 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 60.282 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 60.282 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 60.282 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 60.282 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.282 * [taylor]: Taking taylor expansion of 1/2 in n 60.282 * [backup-simplify]: Simplify 1/2 into 1/2 60.282 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.283 * [taylor]: Taking taylor expansion of 1 in n 60.283 * [backup-simplify]: Simplify 1 into 1 60.283 * [taylor]: Taking taylor expansion of k in n 60.283 * [backup-simplify]: Simplify k into k 60.283 * [taylor]: Taking taylor expansion of (log 2) in n 60.283 * [taylor]: Taking taylor expansion of 2 in n 60.283 * [backup-simplify]: Simplify 2 into 2 60.283 * [backup-simplify]: Simplify (log 2) into (log 2) 60.283 * [backup-simplify]: Simplify (- k) into (- k) 60.283 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.283 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.283 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 60.284 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 60.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 60.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.284 * [taylor]: Taking taylor expansion of k in n 60.284 * [backup-simplify]: Simplify k into k 60.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.284 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 60.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 60.284 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 60.284 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k))))) in n 60.284 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 60.284 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 60.284 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 60.284 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.284 * [taylor]: Taking taylor expansion of 1/2 in n 60.284 * [backup-simplify]: Simplify 1/2 into 1/2 60.284 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.284 * [taylor]: Taking taylor expansion of 1 in n 60.284 * [backup-simplify]: Simplify 1 into 1 60.284 * [taylor]: Taking taylor expansion of k in n 60.284 * [backup-simplify]: Simplify k into k 60.284 * [taylor]: Taking taylor expansion of (log PI) in n 60.284 * [taylor]: Taking taylor expansion of PI in n 60.284 * [backup-simplify]: Simplify PI into PI 60.284 * [backup-simplify]: Simplify (log PI) into (log PI) 60.284 * [backup-simplify]: Simplify (- k) into (- k) 60.284 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.284 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.285 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 60.285 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 60.285 * [taylor]: Taking taylor expansion of (* (pow n (* 1/2 (- 1 k))) (pow 2 (* 1/2 (- 1 k)))) in n 60.285 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 60.285 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 60.285 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 60.285 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.285 * [taylor]: Taking taylor expansion of 1/2 in n 60.285 * [backup-simplify]: Simplify 1/2 into 1/2 60.285 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.285 * [taylor]: Taking taylor expansion of 1 in n 60.285 * [backup-simplify]: Simplify 1 into 1 60.285 * [taylor]: Taking taylor expansion of k in n 60.285 * [backup-simplify]: Simplify k into k 60.285 * [taylor]: Taking taylor expansion of (log n) in n 60.285 * [taylor]: Taking taylor expansion of n in n 60.285 * [backup-simplify]: Simplify 0 into 0 60.285 * [backup-simplify]: Simplify 1 into 1 60.286 * [backup-simplify]: Simplify (log 1) into 0 60.286 * [backup-simplify]: Simplify (- k) into (- k) 60.286 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.286 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.286 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.286 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 60.286 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 60.286 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 60.286 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 60.286 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 60.286 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 60.286 * [taylor]: Taking taylor expansion of 1/2 in n 60.286 * [backup-simplify]: Simplify 1/2 into 1/2 60.286 * [taylor]: Taking taylor expansion of (- 1 k) in n 60.286 * [taylor]: Taking taylor expansion of 1 in n 60.286 * [backup-simplify]: Simplify 1 into 1 60.286 * [taylor]: Taking taylor expansion of k in n 60.286 * [backup-simplify]: Simplify k into k 60.286 * [taylor]: Taking taylor expansion of (log 2) in n 60.286 * [taylor]: Taking taylor expansion of 2 in n 60.286 * [backup-simplify]: Simplify 2 into 2 60.287 * [backup-simplify]: Simplify (log 2) into (log 2) 60.287 * [backup-simplify]: Simplify (- k) into (- k) 60.287 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 60.287 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 60.287 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 60.287 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 60.287 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 60.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.287 * [taylor]: Taking taylor expansion of k in n 60.288 * [backup-simplify]: Simplify k into k 60.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.288 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 60.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 60.288 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (exp (* 1/2 (* (- 1 k) (log 2))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))) 60.289 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 60.289 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) into (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) 60.289 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) in k 60.290 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 60.290 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 60.290 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 60.290 * [taylor]: Taking taylor expansion of 1/2 in k 60.290 * [backup-simplify]: Simplify 1/2 into 1/2 60.290 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 60.290 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.290 * [taylor]: Taking taylor expansion of 1 in k 60.290 * [backup-simplify]: Simplify 1 into 1 60.290 * [taylor]: Taking taylor expansion of k in k 60.290 * [backup-simplify]: Simplify 0 into 0 60.290 * [backup-simplify]: Simplify 1 into 1 60.290 * [taylor]: Taking taylor expansion of (log 2) in k 60.290 * [taylor]: Taking taylor expansion of 2 in k 60.290 * [backup-simplify]: Simplify 2 into 2 60.290 * [backup-simplify]: Simplify (log 2) into (log 2) 60.290 * [backup-simplify]: Simplify (- 0) into 0 60.290 * [backup-simplify]: Simplify (+ 1 0) into 1 60.291 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 60.292 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.292 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 60.292 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 60.293 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 60.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 60.293 * [taylor]: Taking taylor expansion of 1/2 in k 60.293 * [backup-simplify]: Simplify 1/2 into 1/2 60.293 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 60.293 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.293 * [taylor]: Taking taylor expansion of 1 in k 60.293 * [backup-simplify]: Simplify 1 into 1 60.293 * [taylor]: Taking taylor expansion of k in k 60.293 * [backup-simplify]: Simplify 0 into 0 60.293 * [backup-simplify]: Simplify 1 into 1 60.293 * [taylor]: Taking taylor expansion of (log PI) in k 60.293 * [taylor]: Taking taylor expansion of PI in k 60.293 * [backup-simplify]: Simplify PI into PI 60.293 * [backup-simplify]: Simplify (log PI) into (log PI) 60.293 * [backup-simplify]: Simplify (- 0) into 0 60.293 * [backup-simplify]: Simplify (+ 1 0) into 1 60.294 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 60.295 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.295 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 60.295 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 60.295 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 60.296 * [taylor]: Taking taylor expansion of 1/2 in k 60.296 * [backup-simplify]: Simplify 1/2 into 1/2 60.296 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 60.296 * [taylor]: Taking taylor expansion of (- 1 k) in k 60.296 * [taylor]: Taking taylor expansion of 1 in k 60.296 * [backup-simplify]: Simplify 1 into 1 60.296 * [taylor]: Taking taylor expansion of k in k 60.296 * [backup-simplify]: Simplify 0 into 0 60.296 * [backup-simplify]: Simplify 1 into 1 60.296 * [taylor]: Taking taylor expansion of (log n) in k 60.296 * [taylor]: Taking taylor expansion of n in k 60.296 * [backup-simplify]: Simplify n into n 60.296 * [backup-simplify]: Simplify (log n) into (log n) 60.296 * [backup-simplify]: Simplify (- 0) into 0 60.296 * [backup-simplify]: Simplify (+ 1 0) into 1 60.296 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 60.296 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 60.296 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 60.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 60.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.296 * [taylor]: Taking taylor expansion of k in k 60.296 * [backup-simplify]: Simplify 0 into 0 60.296 * [backup-simplify]: Simplify 1 into 1 60.297 * [backup-simplify]: Simplify (/ 1 1) into 1 60.297 * [backup-simplify]: Simplify (sqrt 0) into 0 60.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 60.298 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 60.298 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 60.298 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 60.298 * [backup-simplify]: Simplify 0 into 0 60.299 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.300 * [backup-simplify]: Simplify (- 0) into 0 60.300 * [backup-simplify]: Simplify (+ 0 0) into 0 60.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 60.300 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 60.301 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 60.302 * [backup-simplify]: Simplify (- 0) into 0 60.302 * [backup-simplify]: Simplify (+ 0 0) into 0 60.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 60.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.303 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 60.304 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.304 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2)))))) into 0 60.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.305 * [backup-simplify]: Simplify (- 0) into 0 60.305 * [backup-simplify]: Simplify (+ 0 0) into 0 60.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 60.306 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 60.307 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.308 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 60.310 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 60.310 * [taylor]: Taking taylor expansion of 0 in k 60.310 * [backup-simplify]: Simplify 0 into 0 60.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 60.311 * [backup-simplify]: Simplify (- 1) into -1 60.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.312 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 60.312 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 60.312 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 60.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.314 * [backup-simplify]: Simplify (- 1) into -1 60.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.317 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 60.320 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 60.329 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 60.332 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 60.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.334 * [backup-simplify]: Simplify (- 1) into -1 60.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.337 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 60.340 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 60.347 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 60.349 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 60.352 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 60.352 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 60.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 60.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.355 * [backup-simplify]: Simplify (- 0) into 0 60.355 * [backup-simplify]: Simplify (+ 0 0) into 0 60.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.356 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.357 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.359 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 60.359 * [backup-simplify]: Simplify (- 0) into 0 60.359 * [backup-simplify]: Simplify (+ 0 0) into 0 60.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.360 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 60.361 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.362 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2))))))) into 0 60.363 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.364 * [backup-simplify]: Simplify (- 0) into 0 60.364 * [backup-simplify]: Simplify (+ 0 0) into 0 60.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 60.365 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.366 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.367 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 60.369 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 60.369 * [taylor]: Taking taylor expansion of 0 in k 60.369 * [backup-simplify]: Simplify 0 into 0 60.369 * [backup-simplify]: Simplify 0 into 0 60.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 60.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 60.381 * [backup-simplify]: Simplify (- 0) into 0 60.381 * [backup-simplify]: Simplify (+ 0 0) into 0 60.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 60.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 60.384 * [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))) 60.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.387 * [backup-simplify]: Simplify (- 0) into 0 60.388 * [backup-simplify]: Simplify (+ 0 0) into 0 60.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 60.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 60.402 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 60.408 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 60.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.411 * [backup-simplify]: Simplify (- 0) into 0 60.412 * [backup-simplify]: Simplify (+ 0 0) into 0 60.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 60.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 60.426 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 60.435 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 60.451 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (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 PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 60.455 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 60.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 60.462 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 60.462 * [backup-simplify]: Simplify (- 0) into 0 60.462 * [backup-simplify]: Simplify (+ 0 0) into 0 60.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 60.465 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 60.467 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.472 * [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 60.472 * [backup-simplify]: Simplify (- 0) into 0 60.473 * [backup-simplify]: Simplify (+ 0 0) into 0 60.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 60.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 60.475 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 60.477 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.478 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log 2)))))))) into 0 60.484 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 60.484 * [backup-simplify]: Simplify (- 0) into 0 60.485 * [backup-simplify]: Simplify (+ 0 0) into 0 60.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 60.487 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 60.489 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.492 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log 2)))) (exp (* 1/2 (* (- 1 k) (log n))))))))) into 0 60.494 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 60.494 * [taylor]: Taking taylor expansion of 0 in k 60.494 * [backup-simplify]: Simplify 0 into 0 60.494 * [backup-simplify]: Simplify 0 into 0 60.494 * [backup-simplify]: Simplify 0 into 0 60.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 60.502 * [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 60.502 * [backup-simplify]: Simplify (- 0) into 0 60.503 * [backup-simplify]: Simplify (+ 0 0) into 0 60.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 60.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 60.506 * [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))) 60.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 60.511 * [backup-simplify]: Simplify (- 0) into 0 60.512 * [backup-simplify]: Simplify (+ 0 0) into 0 60.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 60.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 60.526 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 60.532 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt n) (pow (log n) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow n 1/2))))) into (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 60.535 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 60.535 * [backup-simplify]: Simplify (- 0) into 0 60.535 * [backup-simplify]: Simplify (+ 0 0) into 0 60.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log 2))))) into 0 60.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log 2))) (* 0 (log 2))))) into 0 60.552 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 60.567 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n))))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (sqrt (* n PI)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 60.591 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (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 PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 60.602 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 60.631 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 60.632 * [backup-simplify]: Simplify (/ (* (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) 60.632 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in (n k) around 0 60.632 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in k 60.632 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 60.632 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 60.632 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 60.632 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 60.632 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.632 * [taylor]: Taking taylor expansion of 1/2 in k 60.632 * [backup-simplify]: Simplify 1/2 into 1/2 60.632 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.632 * [taylor]: Taking taylor expansion of 1 in k 60.632 * [backup-simplify]: Simplify 1 into 1 60.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.632 * [taylor]: Taking taylor expansion of k in k 60.632 * [backup-simplify]: Simplify 0 into 0 60.632 * [backup-simplify]: Simplify 1 into 1 60.633 * [backup-simplify]: Simplify (/ 1 1) into 1 60.633 * [taylor]: Taking taylor expansion of (log PI) in k 60.633 * [taylor]: Taking taylor expansion of PI in k 60.633 * [backup-simplify]: Simplify PI into PI 60.633 * [backup-simplify]: Simplify (log PI) into (log PI) 60.633 * [backup-simplify]: Simplify (- 1) into -1 60.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.634 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.635 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 60.636 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.636 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 60.636 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 60.636 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 60.636 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 60.636 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.636 * [taylor]: Taking taylor expansion of 1/2 in k 60.636 * [backup-simplify]: Simplify 1/2 into 1/2 60.636 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.636 * [taylor]: Taking taylor expansion of 1 in k 60.636 * [backup-simplify]: Simplify 1 into 1 60.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.636 * [taylor]: Taking taylor expansion of k in k 60.636 * [backup-simplify]: Simplify 0 into 0 60.636 * [backup-simplify]: Simplify 1 into 1 60.637 * [backup-simplify]: Simplify (/ 1 1) into 1 60.637 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 60.637 * [taylor]: Taking taylor expansion of (/ 1 n) in k 60.637 * [taylor]: Taking taylor expansion of n in k 60.637 * [backup-simplify]: Simplify n into n 60.637 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 60.637 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 60.637 * [backup-simplify]: Simplify (- 1) into -1 60.638 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.638 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.638 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 60.638 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 60.638 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 60.638 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 60.638 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 60.638 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 60.638 * [taylor]: Taking taylor expansion of 1/2 in k 60.638 * [backup-simplify]: Simplify 1/2 into 1/2 60.638 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.638 * [taylor]: Taking taylor expansion of 1 in k 60.638 * [backup-simplify]: Simplify 1 into 1 60.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.639 * [taylor]: Taking taylor expansion of k in k 60.639 * [backup-simplify]: Simplify 0 into 0 60.639 * [backup-simplify]: Simplify 1 into 1 60.639 * [backup-simplify]: Simplify (/ 1 1) into 1 60.639 * [taylor]: Taking taylor expansion of (log 2) in k 60.639 * [taylor]: Taking taylor expansion of 2 in k 60.639 * [backup-simplify]: Simplify 2 into 2 60.639 * [backup-simplify]: Simplify (log 2) into (log 2) 60.639 * [backup-simplify]: Simplify (- 1) into -1 60.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.640 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 60.640 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 60.641 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.641 * [taylor]: Taking taylor expansion of (sqrt k) in k 60.641 * [taylor]: Taking taylor expansion of k in k 60.641 * [backup-simplify]: Simplify 0 into 0 60.641 * [backup-simplify]: Simplify 1 into 1 60.641 * [backup-simplify]: Simplify (sqrt 0) into 0 60.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 60.642 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 60.642 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 60.642 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 60.642 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 60.642 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 60.642 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.642 * [taylor]: Taking taylor expansion of 1/2 in n 60.642 * [backup-simplify]: Simplify 1/2 into 1/2 60.642 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.642 * [taylor]: Taking taylor expansion of 1 in n 60.642 * [backup-simplify]: Simplify 1 into 1 60.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.642 * [taylor]: Taking taylor expansion of k in n 60.642 * [backup-simplify]: Simplify k into k 60.642 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.642 * [taylor]: Taking taylor expansion of (log PI) in n 60.642 * [taylor]: Taking taylor expansion of PI in n 60.642 * [backup-simplify]: Simplify PI into PI 60.643 * [backup-simplify]: Simplify (log PI) into (log PI) 60.643 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.643 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.643 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.643 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 60.644 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.644 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 60.644 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 60.644 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 60.644 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 60.644 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.644 * [taylor]: Taking taylor expansion of 1/2 in n 60.644 * [backup-simplify]: Simplify 1/2 into 1/2 60.644 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.644 * [taylor]: Taking taylor expansion of 1 in n 60.644 * [backup-simplify]: Simplify 1 into 1 60.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.644 * [taylor]: Taking taylor expansion of k in n 60.644 * [backup-simplify]: Simplify k into k 60.644 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.644 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 60.644 * [taylor]: Taking taylor expansion of (/ 1 n) in n 60.644 * [taylor]: Taking taylor expansion of n in n 60.644 * [backup-simplify]: Simplify 0 into 0 60.644 * [backup-simplify]: Simplify 1 into 1 60.644 * [backup-simplify]: Simplify (/ 1 1) into 1 60.645 * [backup-simplify]: Simplify (log 1) into 0 60.645 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.645 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.645 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.645 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 60.645 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.645 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 60.645 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 60.645 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 60.645 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.645 * [taylor]: Taking taylor expansion of 1/2 in n 60.645 * [backup-simplify]: Simplify 1/2 into 1/2 60.645 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.645 * [taylor]: Taking taylor expansion of 1 in n 60.645 * [backup-simplify]: Simplify 1 into 1 60.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.645 * [taylor]: Taking taylor expansion of k in n 60.645 * [backup-simplify]: Simplify k into k 60.645 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.645 * [taylor]: Taking taylor expansion of (log 2) in n 60.645 * [taylor]: Taking taylor expansion of 2 in n 60.646 * [backup-simplify]: Simplify 2 into 2 60.646 * [backup-simplify]: Simplify (log 2) into (log 2) 60.646 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.646 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.646 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.646 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 60.647 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.647 * [taylor]: Taking taylor expansion of (sqrt k) in n 60.647 * [taylor]: Taking taylor expansion of k in n 60.647 * [backup-simplify]: Simplify k into k 60.647 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 60.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 60.647 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 60.647 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 60.647 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 60.647 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 60.647 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 60.647 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.647 * [taylor]: Taking taylor expansion of 1/2 in n 60.647 * [backup-simplify]: Simplify 1/2 into 1/2 60.647 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.647 * [taylor]: Taking taylor expansion of 1 in n 60.647 * [backup-simplify]: Simplify 1 into 1 60.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.647 * [taylor]: Taking taylor expansion of k in n 60.647 * [backup-simplify]: Simplify k into k 60.647 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.647 * [taylor]: Taking taylor expansion of (log PI) in n 60.647 * [taylor]: Taking taylor expansion of PI in n 60.647 * [backup-simplify]: Simplify PI into PI 60.647 * [backup-simplify]: Simplify (log PI) into (log PI) 60.647 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.647 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.647 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.648 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 60.648 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.648 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 60.648 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 60.648 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 60.648 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 60.648 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.648 * [taylor]: Taking taylor expansion of 1/2 in n 60.648 * [backup-simplify]: Simplify 1/2 into 1/2 60.648 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.648 * [taylor]: Taking taylor expansion of 1 in n 60.648 * [backup-simplify]: Simplify 1 into 1 60.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.648 * [taylor]: Taking taylor expansion of k in n 60.648 * [backup-simplify]: Simplify k into k 60.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.648 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 60.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 60.648 * [taylor]: Taking taylor expansion of n in n 60.648 * [backup-simplify]: Simplify 0 into 0 60.648 * [backup-simplify]: Simplify 1 into 1 60.649 * [backup-simplify]: Simplify (/ 1 1) into 1 60.649 * [backup-simplify]: Simplify (log 1) into 0 60.649 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.649 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.649 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.649 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 60.649 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.649 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 60.650 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 60.650 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 60.650 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 60.650 * [taylor]: Taking taylor expansion of 1/2 in n 60.650 * [backup-simplify]: Simplify 1/2 into 1/2 60.650 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 60.650 * [taylor]: Taking taylor expansion of 1 in n 60.650 * [backup-simplify]: Simplify 1 into 1 60.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.650 * [taylor]: Taking taylor expansion of k in n 60.650 * [backup-simplify]: Simplify k into k 60.650 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.650 * [taylor]: Taking taylor expansion of (log 2) in n 60.650 * [taylor]: Taking taylor expansion of 2 in n 60.650 * [backup-simplify]: Simplify 2 into 2 60.650 * [backup-simplify]: Simplify (log 2) into (log 2) 60.650 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 60.650 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 60.650 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 60.650 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 60.651 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.651 * [taylor]: Taking taylor expansion of (sqrt k) in n 60.651 * [taylor]: Taking taylor expansion of k in n 60.651 * [backup-simplify]: Simplify k into k 60.651 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 60.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 60.651 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 60.652 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 60.653 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) 60.653 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) in k 60.653 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 60.653 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 60.653 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 60.653 * [taylor]: Taking taylor expansion of 1/2 in k 60.653 * [backup-simplify]: Simplify 1/2 into 1/2 60.653 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 60.653 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.653 * [taylor]: Taking taylor expansion of 1 in k 60.653 * [backup-simplify]: Simplify 1 into 1 60.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.653 * [taylor]: Taking taylor expansion of k in k 60.653 * [backup-simplify]: Simplify 0 into 0 60.653 * [backup-simplify]: Simplify 1 into 1 60.653 * [backup-simplify]: Simplify (/ 1 1) into 1 60.653 * [taylor]: Taking taylor expansion of (log PI) in k 60.653 * [taylor]: Taking taylor expansion of PI in k 60.653 * [backup-simplify]: Simplify PI into PI 60.654 * [backup-simplify]: Simplify (log PI) into (log PI) 60.654 * [backup-simplify]: Simplify (- 1) into -1 60.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.655 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 60.656 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 60.656 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 60.656 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 60.656 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 60.656 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 60.656 * [taylor]: Taking taylor expansion of -1/2 in k 60.656 * [backup-simplify]: Simplify -1/2 into -1/2 60.656 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 60.656 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.656 * [taylor]: Taking taylor expansion of 1 in k 60.656 * [backup-simplify]: Simplify 1 into 1 60.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.656 * [taylor]: Taking taylor expansion of k in k 60.656 * [backup-simplify]: Simplify 0 into 0 60.656 * [backup-simplify]: Simplify 1 into 1 60.656 * [backup-simplify]: Simplify (/ 1 1) into 1 60.656 * [taylor]: Taking taylor expansion of (log n) in k 60.656 * [taylor]: Taking taylor expansion of n in k 60.656 * [backup-simplify]: Simplify n into n 60.657 * [backup-simplify]: Simplify (log n) into (log n) 60.657 * [backup-simplify]: Simplify (- 1) into -1 60.657 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.657 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 60.657 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 60.657 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 60.657 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 60.657 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 60.657 * [taylor]: Taking taylor expansion of 1/2 in k 60.657 * [backup-simplify]: Simplify 1/2 into 1/2 60.657 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 60.657 * [taylor]: Taking taylor expansion of (log 2) in k 60.657 * [taylor]: Taking taylor expansion of 2 in k 60.657 * [backup-simplify]: Simplify 2 into 2 60.658 * [backup-simplify]: Simplify (log 2) into (log 2) 60.658 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 60.658 * [taylor]: Taking taylor expansion of 1 in k 60.658 * [backup-simplify]: Simplify 1 into 1 60.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.658 * [taylor]: Taking taylor expansion of k in k 60.658 * [backup-simplify]: Simplify 0 into 0 60.658 * [backup-simplify]: Simplify 1 into 1 60.658 * [backup-simplify]: Simplify (/ 1 1) into 1 60.658 * [backup-simplify]: Simplify (- 1) into -1 60.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 60.659 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 60.660 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 60.660 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 60.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 60.660 * [taylor]: Taking taylor expansion of k in k 60.660 * [backup-simplify]: Simplify 0 into 0 60.660 * [backup-simplify]: Simplify 1 into 1 60.661 * [backup-simplify]: Simplify (sqrt 0) into 0 60.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 60.662 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 60.662 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 60.663 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 60.663 * [backup-simplify]: Simplify 0 into 0 60.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.664 * [backup-simplify]: Simplify (- 0) into 0 60.665 * [backup-simplify]: Simplify (+ 0 0) into 0 60.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.665 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 60.666 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 60.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 60.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 60.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.669 * [backup-simplify]: Simplify (- 0) into 0 60.669 * [backup-simplify]: Simplify (+ 0 0) into 0 60.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.670 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 60.671 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.672 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 60.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.674 * [backup-simplify]: Simplify (- 0) into 0 60.674 * [backup-simplify]: Simplify (+ 0 0) into 0 60.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 60.676 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 60.677 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.678 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 60.679 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (* 0 (sqrt k))) into 0 60.679 * [taylor]: Taking taylor expansion of 0 in k 60.679 * [backup-simplify]: Simplify 0 into 0 60.679 * [backup-simplify]: Simplify 0 into 0 60.680 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 60.681 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 60.683 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.684 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 60.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.688 * [backup-simplify]: Simplify (- 0) into 0 60.689 * [backup-simplify]: Simplify (+ 0 0) into 0 60.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.691 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.692 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 60.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.694 * [backup-simplify]: Simplify (- 0) into 0 60.694 * [backup-simplify]: Simplify (+ 0 0) into 0 60.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.695 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 60.696 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.697 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 60.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.699 * [backup-simplify]: Simplify (- 0) into 0 60.699 * [backup-simplify]: Simplify (+ 0 0) into 0 60.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 60.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.701 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.702 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 60.703 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 60.703 * [taylor]: Taking taylor expansion of 0 in k 60.703 * [backup-simplify]: Simplify 0 into 0 60.703 * [backup-simplify]: Simplify 0 into 0 60.703 * [backup-simplify]: Simplify 0 into 0 60.705 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 60.706 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 60.707 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 60.711 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.712 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 60.716 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 60.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.716 * [backup-simplify]: Simplify (- 0) into 0 60.717 * [backup-simplify]: Simplify (+ 0 0) into 0 60.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.718 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 60.720 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.726 * [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 60.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.727 * [backup-simplify]: Simplify (- 0) into 0 60.728 * [backup-simplify]: Simplify (+ 0 0) into 0 60.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 60.730 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 60.732 * [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 60.733 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 60.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 60.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.739 * [backup-simplify]: Simplify (- 0) into 0 60.740 * [backup-simplify]: Simplify (+ 0 0) into 0 60.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 60.742 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 60.744 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 60.746 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 60.747 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 60.747 * [taylor]: Taking taylor expansion of 0 in k 60.747 * [backup-simplify]: Simplify 0 into 0 60.748 * [backup-simplify]: Simplify 0 into 0 60.748 * [backup-simplify]: Simplify 0 into 0 60.748 * [backup-simplify]: Simplify 0 into 0 60.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 60.751 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 60.752 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 60.753 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.754 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 60.757 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 60.757 * [backup-simplify]: Simplify (/ (* (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) 60.757 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in (n k) around 0 60.757 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in k 60.757 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 60.757 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 60.757 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 60.757 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 60.757 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.757 * [taylor]: Taking taylor expansion of 1/2 in k 60.757 * [backup-simplify]: Simplify 1/2 into 1/2 60.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.757 * [taylor]: Taking taylor expansion of k in k 60.757 * [backup-simplify]: Simplify 0 into 0 60.757 * [backup-simplify]: Simplify 1 into 1 60.757 * [backup-simplify]: Simplify (/ 1 1) into 1 60.757 * [taylor]: Taking taylor expansion of 1 in k 60.757 * [backup-simplify]: Simplify 1 into 1 60.757 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 60.758 * [taylor]: Taking taylor expansion of (/ -1 n) in k 60.758 * [taylor]: Taking taylor expansion of -1 in k 60.758 * [backup-simplify]: Simplify -1 into -1 60.758 * [taylor]: Taking taylor expansion of n in k 60.758 * [backup-simplify]: Simplify n into n 60.758 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 60.758 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 60.758 * [backup-simplify]: Simplify (+ 1 0) into 1 60.758 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.758 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 60.758 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 60.758 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 60.758 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 60.758 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 60.758 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 60.758 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.758 * [taylor]: Taking taylor expansion of 1/2 in k 60.758 * [backup-simplify]: Simplify 1/2 into 1/2 60.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.759 * [taylor]: Taking taylor expansion of k in k 60.759 * [backup-simplify]: Simplify 0 into 0 60.759 * [backup-simplify]: Simplify 1 into 1 60.759 * [backup-simplify]: Simplify (/ 1 1) into 1 60.759 * [taylor]: Taking taylor expansion of 1 in k 60.759 * [backup-simplify]: Simplify 1 into 1 60.759 * [taylor]: Taking taylor expansion of (log 2) in k 60.759 * [taylor]: Taking taylor expansion of 2 in k 60.759 * [backup-simplify]: Simplify 2 into 2 60.759 * [backup-simplify]: Simplify (log 2) into (log 2) 60.759 * [backup-simplify]: Simplify (+ 1 0) into 1 60.760 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.760 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.761 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.761 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 60.761 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 60.761 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 60.761 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 60.761 * [taylor]: Taking taylor expansion of 1/2 in k 60.761 * [backup-simplify]: Simplify 1/2 into 1/2 60.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.761 * [taylor]: Taking taylor expansion of k in k 60.761 * [backup-simplify]: Simplify 0 into 0 60.761 * [backup-simplify]: Simplify 1 into 1 60.761 * [backup-simplify]: Simplify (/ 1 1) into 1 60.761 * [taylor]: Taking taylor expansion of 1 in k 60.761 * [backup-simplify]: Simplify 1 into 1 60.761 * [taylor]: Taking taylor expansion of (log PI) in k 60.761 * [taylor]: Taking taylor expansion of PI in k 60.761 * [backup-simplify]: Simplify PI into PI 60.761 * [backup-simplify]: Simplify (log PI) into (log PI) 60.762 * [backup-simplify]: Simplify (+ 1 0) into 1 60.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 60.762 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.763 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 60.763 * [taylor]: Taking taylor expansion of (/ -1 k) in k 60.763 * [taylor]: Taking taylor expansion of -1 in k 60.763 * [backup-simplify]: Simplify -1 into -1 60.763 * [taylor]: Taking taylor expansion of k in k 60.763 * [backup-simplify]: Simplify 0 into 0 60.763 * [backup-simplify]: Simplify 1 into 1 60.763 * [backup-simplify]: Simplify (/ -1 1) into -1 60.763 * [backup-simplify]: Simplify (sqrt 0) into 0 60.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 60.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 60.765 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 60.766 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) 60.766 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 60.766 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 60.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 60.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 60.766 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 60.766 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.766 * [taylor]: Taking taylor expansion of 1/2 in n 60.766 * [backup-simplify]: Simplify 1/2 into 1/2 60.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.766 * [taylor]: Taking taylor expansion of k in n 60.766 * [backup-simplify]: Simplify k into k 60.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.766 * [taylor]: Taking taylor expansion of 1 in n 60.766 * [backup-simplify]: Simplify 1 into 1 60.766 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 60.766 * [taylor]: Taking taylor expansion of (/ -1 n) in n 60.766 * [taylor]: Taking taylor expansion of -1 in n 60.766 * [backup-simplify]: Simplify -1 into -1 60.766 * [taylor]: Taking taylor expansion of n in n 60.766 * [backup-simplify]: Simplify 0 into 0 60.767 * [backup-simplify]: Simplify 1 into 1 60.767 * [backup-simplify]: Simplify (/ -1 1) into -1 60.767 * [backup-simplify]: Simplify (log -1) into (log -1) 60.767 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.767 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.768 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 60.768 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.768 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 60.768 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 60.768 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 60.768 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 60.768 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.768 * [taylor]: Taking taylor expansion of 1/2 in n 60.768 * [backup-simplify]: Simplify 1/2 into 1/2 60.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.768 * [taylor]: Taking taylor expansion of k in n 60.769 * [backup-simplify]: Simplify k into k 60.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.769 * [taylor]: Taking taylor expansion of 1 in n 60.769 * [backup-simplify]: Simplify 1 into 1 60.769 * [taylor]: Taking taylor expansion of (log 2) in n 60.769 * [taylor]: Taking taylor expansion of 2 in n 60.769 * [backup-simplify]: Simplify 2 into 2 60.769 * [backup-simplify]: Simplify (log 2) into (log 2) 60.769 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.769 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.769 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 60.770 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.770 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 60.770 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 60.770 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 60.770 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.770 * [taylor]: Taking taylor expansion of 1/2 in n 60.770 * [backup-simplify]: Simplify 1/2 into 1/2 60.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.770 * [taylor]: Taking taylor expansion of k in n 60.770 * [backup-simplify]: Simplify k into k 60.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.770 * [taylor]: Taking taylor expansion of 1 in n 60.770 * [backup-simplify]: Simplify 1 into 1 60.770 * [taylor]: Taking taylor expansion of (log PI) in n 60.770 * [taylor]: Taking taylor expansion of PI in n 60.770 * [backup-simplify]: Simplify PI into PI 60.770 * [backup-simplify]: Simplify (log PI) into (log PI) 60.770 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.770 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.771 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 60.771 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 60.771 * [taylor]: Taking taylor expansion of (/ -1 k) in n 60.771 * [taylor]: Taking taylor expansion of -1 in n 60.771 * [backup-simplify]: Simplify -1 into -1 60.771 * [taylor]: Taking taylor expansion of k in n 60.771 * [backup-simplify]: Simplify k into k 60.771 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 60.771 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 60.771 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 60.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 60.772 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 60.773 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.774 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 60.774 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 60.774 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 60.774 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 60.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 60.774 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 60.774 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.774 * [taylor]: Taking taylor expansion of 1/2 in n 60.774 * [backup-simplify]: Simplify 1/2 into 1/2 60.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.774 * [taylor]: Taking taylor expansion of k in n 60.774 * [backup-simplify]: Simplify k into k 60.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.774 * [taylor]: Taking taylor expansion of 1 in n 60.774 * [backup-simplify]: Simplify 1 into 1 60.774 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 60.774 * [taylor]: Taking taylor expansion of (/ -1 n) in n 60.774 * [taylor]: Taking taylor expansion of -1 in n 60.774 * [backup-simplify]: Simplify -1 into -1 60.774 * [taylor]: Taking taylor expansion of n in n 60.774 * [backup-simplify]: Simplify 0 into 0 60.774 * [backup-simplify]: Simplify 1 into 1 60.774 * [backup-simplify]: Simplify (/ -1 1) into -1 60.775 * [backup-simplify]: Simplify (log -1) into (log -1) 60.775 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.775 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.775 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 60.776 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.776 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 60.776 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 60.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 60.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 60.776 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.776 * [taylor]: Taking taylor expansion of 1/2 in n 60.776 * [backup-simplify]: Simplify 1/2 into 1/2 60.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.776 * [taylor]: Taking taylor expansion of k in n 60.776 * [backup-simplify]: Simplify k into k 60.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.776 * [taylor]: Taking taylor expansion of 1 in n 60.776 * [backup-simplify]: Simplify 1 into 1 60.776 * [taylor]: Taking taylor expansion of (log 2) in n 60.776 * [taylor]: Taking taylor expansion of 2 in n 60.776 * [backup-simplify]: Simplify 2 into 2 60.776 * [backup-simplify]: Simplify (log 2) into (log 2) 60.776 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.776 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.777 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 60.777 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.777 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 60.777 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 60.777 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 60.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 60.777 * [taylor]: Taking taylor expansion of 1/2 in n 60.777 * [backup-simplify]: Simplify 1/2 into 1/2 60.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 60.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 60.777 * [taylor]: Taking taylor expansion of k in n 60.777 * [backup-simplify]: Simplify k into k 60.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 60.777 * [taylor]: Taking taylor expansion of 1 in n 60.777 * [backup-simplify]: Simplify 1 into 1 60.777 * [taylor]: Taking taylor expansion of (log PI) in n 60.777 * [taylor]: Taking taylor expansion of PI in n 60.777 * [backup-simplify]: Simplify PI into PI 60.778 * [backup-simplify]: Simplify (log PI) into (log PI) 60.778 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 60.778 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 60.778 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 60.778 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.778 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 60.778 * [taylor]: Taking taylor expansion of (/ -1 k) in n 60.778 * [taylor]: Taking taylor expansion of -1 in n 60.778 * [backup-simplify]: Simplify -1 into -1 60.778 * [taylor]: Taking taylor expansion of k in n 60.778 * [backup-simplify]: Simplify k into k 60.779 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 60.779 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 60.779 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 60.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 60.779 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 60.780 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.781 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 60.781 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) in k 60.781 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 60.781 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 60.781 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 60.781 * [taylor]: Taking taylor expansion of 1/2 in k 60.781 * [backup-simplify]: Simplify 1/2 into 1/2 60.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 60.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.781 * [taylor]: Taking taylor expansion of k in k 60.781 * [backup-simplify]: Simplify 0 into 0 60.781 * [backup-simplify]: Simplify 1 into 1 60.782 * [backup-simplify]: Simplify (/ 1 1) into 1 60.782 * [taylor]: Taking taylor expansion of 1 in k 60.782 * [backup-simplify]: Simplify 1 into 1 60.782 * [taylor]: Taking taylor expansion of (log PI) in k 60.782 * [taylor]: Taking taylor expansion of PI in k 60.782 * [backup-simplify]: Simplify PI into PI 60.782 * [backup-simplify]: Simplify (log PI) into (log PI) 60.782 * [backup-simplify]: Simplify (+ 1 0) into 1 60.783 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 60.783 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 60.784 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 60.784 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 60.784 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 60.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 60.784 * [taylor]: Taking taylor expansion of 1/2 in k 60.784 * [backup-simplify]: Simplify 1/2 into 1/2 60.784 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 60.784 * [taylor]: Taking taylor expansion of (log 2) in k 60.784 * [taylor]: Taking taylor expansion of 2 in k 60.784 * [backup-simplify]: Simplify 2 into 2 60.784 * [backup-simplify]: Simplify (log 2) into (log 2) 60.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.784 * [taylor]: Taking taylor expansion of k in k 60.784 * [backup-simplify]: Simplify 0 into 0 60.784 * [backup-simplify]: Simplify 1 into 1 60.784 * [backup-simplify]: Simplify (/ 1 1) into 1 60.784 * [taylor]: Taking taylor expansion of 1 in k 60.784 * [backup-simplify]: Simplify 1 into 1 60.785 * [backup-simplify]: Simplify (+ 1 0) into 1 60.785 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 60.786 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 60.786 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 60.786 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 60.786 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 60.786 * [taylor]: Taking taylor expansion of 1/2 in k 60.786 * [backup-simplify]: Simplify 1/2 into 1/2 60.786 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 60.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 60.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 60.786 * [taylor]: Taking taylor expansion of k in k 60.786 * [backup-simplify]: Simplify 0 into 0 60.786 * [backup-simplify]: Simplify 1 into 1 60.787 * [backup-simplify]: Simplify (/ 1 1) into 1 60.787 * [taylor]: Taking taylor expansion of 1 in k 60.787 * [backup-simplify]: Simplify 1 into 1 60.787 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 60.787 * [taylor]: Taking taylor expansion of (log -1) in k 60.787 * [taylor]: Taking taylor expansion of -1 in k 60.787 * [backup-simplify]: Simplify -1 into -1 60.787 * [backup-simplify]: Simplify (log -1) into (log -1) 60.787 * [taylor]: Taking taylor expansion of (log n) in k 60.787 * [taylor]: Taking taylor expansion of n in k 60.787 * [backup-simplify]: Simplify n into n 60.787 * [backup-simplify]: Simplify (log n) into (log n) 60.788 * [backup-simplify]: Simplify (+ 1 0) into 1 60.788 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 60.788 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 60.789 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 60.789 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 60.790 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 60.790 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 60.790 * [taylor]: Taking taylor expansion of (/ -1 k) in k 60.790 * [taylor]: Taking taylor expansion of -1 in k 60.790 * [backup-simplify]: Simplify -1 into -1 60.790 * [taylor]: Taking taylor expansion of k in k 60.790 * [backup-simplify]: Simplify 0 into 0 60.790 * [backup-simplify]: Simplify 1 into 1 60.791 * [backup-simplify]: Simplify (/ -1 1) into -1 60.791 * [backup-simplify]: Simplify (sqrt 0) into 0 60.792 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 60.794 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 60.795 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 60.797 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 60.798 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 60.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 60.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.800 * [backup-simplify]: Simplify (+ 0 0) into 0 60.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 60.803 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 60.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.805 * [backup-simplify]: Simplify (+ 0 0) into 0 60.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.806 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 60.808 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 60.809 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 60.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.811 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 60.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 60.812 * [backup-simplify]: Simplify (+ 0 0) into 0 60.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 60.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.813 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 60.815 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 60.816 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 60.818 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 60.818 * [taylor]: Taking taylor expansion of 0 in k 60.818 * [backup-simplify]: Simplify 0 into 0 60.818 * [backup-simplify]: Simplify 0 into 0 60.820 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 60.821 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 60.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 60.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 60.834 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 60.836 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 60.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 60.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.840 * [backup-simplify]: Simplify (+ 0 0) into 0 60.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.841 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 60.843 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.846 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 60.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.846 * [backup-simplify]: Simplify (+ 0 0) into 0 60.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.848 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 60.850 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.852 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 60.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 60.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.856 * [backup-simplify]: Simplify (+ 0 0) into 0 60.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 60.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 60.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 60.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 60.863 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 60.863 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 60.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 60.866 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 60.866 * [taylor]: Taking taylor expansion of 0 in k 60.866 * [backup-simplify]: Simplify 0 into 0 60.866 * [backup-simplify]: Simplify 0 into 0 60.866 * [backup-simplify]: Simplify 0 into 0 60.867 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 60.869 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 60.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 60.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 60.879 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 60.881 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 60.886 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 60.887 * * * [progress]: simplifying candidates 60.887 * * * * [progress]: [ 1 / 210 ] simplifiying candidate # 60.887 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 60.887 * * [simplify]: iters left: 6 (8 enodes) 60.892 * * [simplify]: iters left: 5 (35 enodes) 60.903 * * [simplify]: iters left: 4 (56 enodes) 60.921 * * [simplify]: iters left: 3 (70 enodes) 60.943 * * [simplify]: iters left: 2 (125 enodes) 60.969 * * [simplify]: iters left: 1 (158 enodes) 61.013 * * [simplify]: Extracting #0: cost 1 inf + 0 61.013 * * [simplify]: Extracting #1: cost 16 inf + 0 61.013 * * [simplify]: Extracting #2: cost 41 inf + 3 61.013 * * [simplify]: Extracting #3: cost 33 inf + 990 61.014 * * [simplify]: Extracting #4: cost 6 inf + 4107 61.015 * * [simplify]: Extracting #5: cost 0 inf + 5034 61.016 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 61.016 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.017 * * * * [progress]: [ 2 / 210 ] simplifiying candidate # 61.017 * * * * [progress]: [ 3 / 210 ] simplifiying candidate # 61.017 * * * * [progress]: [ 4 / 210 ] simplifiying candidate # 61.017 * [simplify]: Simplifying (pow n (/ k 2)) 61.017 * * [simplify]: iters left: 3 (5 enodes) 61.018 * * [simplify]: iters left: 2 (18 enodes) 61.022 * * [simplify]: iters left: 1 (30 enodes) 61.027 * * [simplify]: Extracting #0: cost 1 inf + 0 61.027 * * [simplify]: Extracting #1: cost 10 inf + 0 61.027 * * [simplify]: Extracting #2: cost 23 inf + 1 61.027 * * [simplify]: Extracting #3: cost 23 inf + 46 61.028 * * [simplify]: Extracting #4: cost 11 inf + 1346 61.028 * * [simplify]: Extracting #5: cost 1 inf + 3938 61.028 * * [simplify]: Extracting #6: cost 0 inf + 4111 61.029 * * [simplify]: Extracting #7: cost 0 inf + 4070 61.029 * [simplify]: Simplified to (pow n (/ k 2)) 61.029 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow n (/ 1 2)) (pow n (/ k 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.030 * * * * [progress]: [ 5 / 210 ] simplifiying candidate # 61.030 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 61.030 * * [simplify]: iters left: 5 (6 enodes) 61.033 * * [simplify]: iters left: 4 (26 enodes) 61.037 * * [simplify]: iters left: 3 (35 enodes) 61.046 * * [simplify]: Extracting #0: cost 1 inf + 0 61.046 * * [simplify]: Extracting #1: cost 3 inf + 0 61.046 * * [simplify]: Extracting #2: cost 8 inf + 0 61.046 * * [simplify]: Extracting #3: cost 11 inf + 2 61.046 * * [simplify]: Extracting #4: cost 8 inf + 87 61.046 * * [simplify]: Extracting #5: cost 2 inf + 500 61.047 * * [simplify]: Extracting #6: cost 0 inf + 746 61.047 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 61.047 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.047 * * * * [progress]: [ 6 / 210 ] simplifiying candidate # 61.048 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 61.048 * * [simplify]: iters left: 5 (6 enodes) 61.052 * * [simplify]: iters left: 4 (26 enodes) 61.060 * * [simplify]: iters left: 3 (35 enodes) 61.074 * * [simplify]: Extracting #0: cost 1 inf + 0 61.074 * * [simplify]: Extracting #1: cost 3 inf + 0 61.074 * * [simplify]: Extracting #2: cost 8 inf + 0 61.074 * * [simplify]: Extracting #3: cost 11 inf + 2 61.074 * * [simplify]: Extracting #4: cost 8 inf + 87 61.075 * * [simplify]: Extracting #5: cost 2 inf + 460 61.075 * * [simplify]: Extracting #6: cost 0 inf + 666 61.075 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 61.075 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.076 * * * * [progress]: [ 7 / 210 ] simplifiying candidate # 61.076 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 61.076 * * [simplify]: iters left: 5 (7 enodes) 61.080 * * [simplify]: iters left: 4 (25 enodes) 61.089 * * [simplify]: iters left: 3 (30 enodes) 61.098 * * [simplify]: Extracting #0: cost 1 inf + 0 61.098 * * [simplify]: Extracting #1: cost 4 inf + 0 61.098 * * [simplify]: Extracting #2: cost 8 inf + 0 61.098 * * [simplify]: Extracting #3: cost 10 inf + 82 61.098 * * [simplify]: Extracting #4: cost 7 inf + 206 61.099 * * [simplify]: Extracting #5: cost 2 inf + 575 61.099 * * [simplify]: Extracting #6: cost 1 inf + 818 61.099 * * [simplify]: Extracting #7: cost 0 inf + 1061 61.100 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 61.100 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.100 * * * * [progress]: [ 8 / 210 ] simplifiying candidate # 61.100 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 61.100 * * [simplify]: iters left: 5 (7 enodes) 61.105 * * [simplify]: iters left: 4 (25 enodes) 61.114 * * [simplify]: iters left: 3 (30 enodes) 61.123 * * [simplify]: Extracting #0: cost 1 inf + 0 61.123 * * [simplify]: Extracting #1: cost 4 inf + 0 61.123 * * [simplify]: Extracting #2: cost 8 inf + 0 61.124 * * [simplify]: Extracting #3: cost 10 inf + 42 61.124 * * [simplify]: Extracting #4: cost 7 inf + 126 61.124 * * [simplify]: Extracting #5: cost 2 inf + 495 61.124 * * [simplify]: Extracting #6: cost 1 inf + 698 61.124 * * [simplify]: Extracting #7: cost 0 inf + 901 61.125 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 61.125 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.125 * * * * [progress]: [ 9 / 210 ] simplifiying candidate # 61.125 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 61.125 * * [simplify]: iters left: 5 (6 enodes) 61.129 * * [simplify]: iters left: 4 (22 enodes) 61.137 * * [simplify]: iters left: 3 (27 enodes) 61.145 * * [simplify]: Extracting #0: cost 1 inf + 0 61.145 * * [simplify]: Extracting #1: cost 4 inf + 0 61.145 * * [simplify]: Extracting #2: cost 5 inf + 1 61.145 * * [simplify]: Extracting #3: cost 9 inf + 1 61.145 * * [simplify]: Extracting #4: cost 8 inf + 3 61.145 * * [simplify]: Extracting #5: cost 4 inf + 169 61.146 * * [simplify]: Extracting #6: cost 1 inf + 576 61.146 * * [simplify]: Extracting #7: cost 0 inf + 739 61.146 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 61.146 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.146 * * * * [progress]: [ 10 / 210 ] simplifiying candidate # 61.147 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 61.147 * * [simplify]: iters left: 5 (7 enodes) 61.151 * * [simplify]: iters left: 4 (25 enodes) 61.160 * * [simplify]: iters left: 3 (30 enodes) 61.169 * * [simplify]: Extracting #0: cost 1 inf + 0 61.169 * * [simplify]: Extracting #1: cost 4 inf + 0 61.170 * * [simplify]: Extracting #2: cost 8 inf + 0 61.170 * * [simplify]: Extracting #3: cost 10 inf + 82 61.170 * * [simplify]: Extracting #4: cost 7 inf + 206 61.170 * * [simplify]: Extracting #5: cost 2 inf + 495 61.170 * * [simplify]: Extracting #6: cost 1 inf + 698 61.171 * * [simplify]: Extracting #7: cost 0 inf + 901 61.171 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 61.171 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.171 * * * * [progress]: [ 11 / 210 ] simplifiying candidate # 61.171 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 61.172 * * [simplify]: iters left: 5 (7 enodes) 61.176 * * [simplify]: iters left: 4 (25 enodes) 61.184 * * [simplify]: iters left: 3 (30 enodes) 61.194 * * [simplify]: Extracting #0: cost 1 inf + 0 61.194 * * [simplify]: Extracting #1: cost 4 inf + 0 61.194 * * [simplify]: Extracting #2: cost 8 inf + 0 61.194 * * [simplify]: Extracting #3: cost 10 inf + 42 61.194 * * [simplify]: Extracting #4: cost 7 inf + 126 61.194 * * [simplify]: Extracting #5: cost 2 inf + 415 61.195 * * [simplify]: Extracting #6: cost 1 inf + 578 61.195 * * [simplify]: Extracting #7: cost 0 inf + 741 61.195 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 61.195 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.195 * * * * [progress]: [ 12 / 210 ] simplifiying candidate # 61.196 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 61.196 * * [simplify]: iters left: 5 (6 enodes) 61.199 * * [simplify]: iters left: 4 (22 enodes) 61.207 * * [simplify]: iters left: 3 (27 enodes) 61.215 * * [simplify]: Extracting #0: cost 1 inf + 0 61.215 * * [simplify]: Extracting #1: cost 4 inf + 0 61.215 * * [simplify]: Extracting #2: cost 5 inf + 1 61.215 * * [simplify]: Extracting #3: cost 9 inf + 1 61.215 * * [simplify]: Extracting #4: cost 8 inf + 3 61.215 * * [simplify]: Extracting #5: cost 4 inf + 169 61.216 * * [simplify]: Extracting #6: cost 1 inf + 456 61.216 * * [simplify]: Extracting #7: cost 0 inf + 579 61.216 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 61.216 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.216 * * * * [progress]: [ 13 / 210 ] simplifiying candidate # 61.217 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 61.217 * * [simplify]: iters left: 4 (6 enodes) 61.221 * * [simplify]: iters left: 3 (25 enodes) 61.231 * * [simplify]: iters left: 2 (36 enodes) 61.237 * * [simplify]: iters left: 1 (40 enodes) 61.244 * * [simplify]: Extracting #0: cost 1 inf + 0 61.244 * * [simplify]: Extracting #1: cost 7 inf + 0 61.244 * * [simplify]: Extracting #2: cost 16 inf + 0 61.244 * * [simplify]: Extracting #3: cost 13 inf + 44 61.244 * * [simplify]: Extracting #4: cost 3 inf + 1103 61.244 * * [simplify]: Extracting #5: cost 0 inf + 1469 61.244 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 61.244 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.245 * * * * [progress]: [ 14 / 210 ] simplifiying candidate # 61.245 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 61.245 * * [simplify]: iters left: 4 (6 enodes) 61.247 * * [simplify]: iters left: 3 (25 enodes) 61.252 * * [simplify]: iters left: 2 (36 enodes) 61.261 * * [simplify]: iters left: 1 (40 enodes) 61.273 * * [simplify]: Extracting #0: cost 1 inf + 0 61.273 * * [simplify]: Extracting #1: cost 7 inf + 0 61.273 * * [simplify]: Extracting #2: cost 16 inf + 0 61.273 * * [simplify]: Extracting #3: cost 13 inf + 44 61.274 * * [simplify]: Extracting #4: cost 3 inf + 823 61.274 * * [simplify]: Extracting #5: cost 0 inf + 1069 61.274 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 61.275 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.275 * * * * [progress]: [ 15 / 210 ] simplifiying candidate # 61.275 * [simplify]: Simplifying (/ (- 1 k) 2) 61.275 * * [simplify]: iters left: 4 (5 enodes) 61.279 * * [simplify]: iters left: 3 (23 enodes) 61.287 * * [simplify]: iters left: 2 (32 enodes) 61.296 * * [simplify]: Extracting #0: cost 1 inf + 0 61.296 * * [simplify]: Extracting #1: cost 6 inf + 0 61.297 * * [simplify]: Extracting #2: cost 9 inf + 2 61.297 * * [simplify]: Extracting #3: cost 6 inf + 87 61.297 * * [simplify]: Extracting #4: cost 0 inf + 420 61.297 * [simplify]: Simplified to (/ (- 1 k) 2) 61.297 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.297 * * * * [progress]: [ 16 / 210 ] simplifiying candidate # 61.298 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 61.298 * * [simplify]: iters left: 5 (8 enodes) 61.303 * * [simplify]: iters left: 4 (31 enodes) 61.313 * * [simplify]: iters left: 3 (45 enodes) 61.326 * * [simplify]: iters left: 2 (51 enodes) 61.340 * * [simplify]: iters left: 1 (52 enodes) 61.354 * * [simplify]: Extracting #0: cost 1 inf + 0 61.354 * * [simplify]: Extracting #1: cost 8 inf + 0 61.354 * * [simplify]: Extracting #2: cost 18 inf + 0 61.355 * * [simplify]: Extracting #3: cost 19 inf + 2 61.355 * * [simplify]: Extracting #4: cost 9 inf + 977 61.355 * * [simplify]: Extracting #5: cost 2 inf + 1790 61.356 * * [simplify]: Extracting #6: cost 0 inf + 2195 61.357 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 61.357 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.357 * * * * [progress]: [ 17 / 210 ] simplifiying candidate # 61.357 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 61.358 * * [simplify]: iters left: 5 (8 enodes) 61.361 * * [simplify]: iters left: 4 (31 enodes) 61.369 * * [simplify]: iters left: 3 (45 enodes) 61.375 * * [simplify]: iters left: 2 (51 enodes) 61.383 * * [simplify]: iters left: 1 (52 enodes) 61.390 * * [simplify]: Extracting #0: cost 1 inf + 0 61.390 * * [simplify]: Extracting #1: cost 8 inf + 0 61.390 * * [simplify]: Extracting #2: cost 18 inf + 0 61.391 * * [simplify]: Extracting #3: cost 19 inf + 2 61.391 * * [simplify]: Extracting #4: cost 9 inf + 697 61.391 * * [simplify]: Extracting #5: cost 2 inf + 1390 61.392 * * [simplify]: Extracting #6: cost 0 inf + 1715 61.393 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 61.393 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.393 * * * * [progress]: [ 18 / 210 ] simplifiying candidate # 61.393 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 61.393 * * [simplify]: iters left: 5 (7 enodes) 61.399 * * [simplify]: iters left: 4 (29 enodes) 61.410 * * [simplify]: iters left: 3 (43 enodes) 61.421 * * [simplify]: iters left: 2 (47 enodes) 61.434 * * [simplify]: Extracting #0: cost 1 inf + 0 61.434 * * [simplify]: Extracting #1: cost 7 inf + 0 61.434 * * [simplify]: Extracting #2: cost 11 inf + 2 61.434 * * [simplify]: Extracting #3: cost 13 inf + 3 61.434 * * [simplify]: Extracting #4: cost 11 inf + 45 61.434 * * [simplify]: Extracting #5: cost 0 inf + 1066 61.435 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 61.435 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.435 * * * * [progress]: [ 19 / 210 ] simplifiying candidate # 61.435 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 61.435 * * [simplify]: iters left: 5 (7 enodes) 61.440 * * [simplify]: iters left: 4 (28 enodes) 61.449 * * [simplify]: iters left: 3 (39 enodes) 61.462 * * [simplify]: iters left: 2 (43 enodes) 61.474 * * [simplify]: Extracting #0: cost 1 inf + 0 61.475 * * [simplify]: Extracting #1: cost 7 inf + 0 61.475 * * [simplify]: Extracting #2: cost 16 inf + 0 61.475 * * [simplify]: Extracting #3: cost 15 inf + 164 61.475 * * [simplify]: Extracting #4: cost 13 inf + 287 61.475 * * [simplify]: Extracting #5: cost 5 inf + 1180 61.476 * * [simplify]: Extracting #6: cost 0 inf + 1951 61.477 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 61.477 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.477 * * * * [progress]: [ 20 / 210 ] simplifiying candidate # 61.477 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 61.477 * * [simplify]: iters left: 5 (7 enodes) 61.481 * * [simplify]: iters left: 4 (28 enodes) 61.491 * * [simplify]: iters left: 3 (39 enodes) 61.507 * * [simplify]: iters left: 2 (43 enodes) 61.519 * * [simplify]: Extracting #0: cost 1 inf + 0 61.519 * * [simplify]: Extracting #1: cost 7 inf + 0 61.520 * * [simplify]: Extracting #2: cost 16 inf + 0 61.520 * * [simplify]: Extracting #3: cost 15 inf + 84 61.520 * * [simplify]: Extracting #4: cost 13 inf + 167 61.520 * * [simplify]: Extracting #5: cost 5 inf + 900 61.521 * * [simplify]: Extracting #6: cost 0 inf + 1551 61.521 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 61.521 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.522 * * * * [progress]: [ 21 / 210 ] simplifiying candidate # 61.522 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 61.522 * * [simplify]: iters left: 5 (6 enodes) 61.526 * * [simplify]: iters left: 4 (26 enodes) 61.535 * * [simplify]: iters left: 3 (35 enodes) 61.545 * * [simplify]: Extracting #0: cost 1 inf + 0 61.546 * * [simplify]: Extracting #1: cost 6 inf + 0 61.546 * * [simplify]: Extracting #2: cost 9 inf + 2 61.546 * * [simplify]: Extracting #3: cost 11 inf + 3 61.546 * * [simplify]: Extracting #4: cost 10 inf + 4 61.546 * * [simplify]: Extracting #5: cost 3 inf + 535 61.546 * * [simplify]: Extracting #6: cost 0 inf + 822 61.547 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 61.547 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.547 * * * * [progress]: [ 22 / 210 ] simplifiying candidate # 61.547 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 61.547 * * [simplify]: iters left: 4 (6 enodes) 61.551 * * [simplify]: iters left: 3 (25 enodes) 61.560 * * [simplify]: iters left: 2 (36 enodes) 61.569 * * [simplify]: iters left: 1 (40 enodes) 61.575 * * [simplify]: Extracting #0: cost 1 inf + 0 61.576 * * [simplify]: Extracting #1: cost 7 inf + 0 61.576 * * [simplify]: Extracting #2: cost 16 inf + 0 61.576 * * [simplify]: Extracting #3: cost 13 inf + 44 61.576 * * [simplify]: Extracting #4: cost 3 inf + 1103 61.576 * * [simplify]: Extracting #5: cost 0 inf + 1469 61.576 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 61.576 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.576 * * * * [progress]: [ 23 / 210 ] simplifiying candidate # 61.577 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 61.577 * * [simplify]: iters left: 4 (6 enodes) 61.579 * * [simplify]: iters left: 3 (25 enodes) 61.584 * * [simplify]: iters left: 2 (36 enodes) 61.590 * * [simplify]: iters left: 1 (40 enodes) 61.597 * * [simplify]: Extracting #0: cost 1 inf + 0 61.597 * * [simplify]: Extracting #1: cost 7 inf + 0 61.597 * * [simplify]: Extracting #2: cost 16 inf + 0 61.597 * * [simplify]: Extracting #3: cost 13 inf + 44 61.597 * * [simplify]: Extracting #4: cost 3 inf + 823 61.597 * * [simplify]: Extracting #5: cost 0 inf + 1069 61.597 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 61.597 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.598 * * * * [progress]: [ 24 / 210 ] simplifiying candidate # 61.598 * [simplify]: Simplifying (/ (- 1 k) 2) 61.598 * * [simplify]: iters left: 4 (5 enodes) 61.600 * * [simplify]: iters left: 3 (23 enodes) 61.605 * * [simplify]: iters left: 2 (32 enodes) 61.611 * * [simplify]: Extracting #0: cost 1 inf + 0 61.611 * * [simplify]: Extracting #1: cost 6 inf + 0 61.611 * * [simplify]: Extracting #2: cost 9 inf + 2 61.611 * * [simplify]: Extracting #3: cost 6 inf + 87 61.611 * * [simplify]: Extracting #4: cost 0 inf + 420 61.611 * [simplify]: Simplified to (/ (- 1 k) 2) 61.611 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.611 * * * * [progress]: [ 25 / 210 ] simplifiying candidate # 61.611 * [simplify]: Simplifying (/ (- 1 k) 2) 61.611 * * [simplify]: iters left: 4 (5 enodes) 61.613 * * [simplify]: iters left: 3 (23 enodes) 61.618 * * [simplify]: iters left: 2 (32 enodes) 61.625 * * [simplify]: Extracting #0: cost 1 inf + 0 61.625 * * [simplify]: Extracting #1: cost 6 inf + 0 61.625 * * [simplify]: Extracting #2: cost 9 inf + 2 61.625 * * [simplify]: Extracting #3: cost 6 inf + 87 61.626 * * [simplify]: Extracting #4: cost 0 inf + 420 61.626 * [simplify]: Simplified to (/ (- 1 k) 2) 61.626 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n 1) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.626 * * * * [progress]: [ 26 / 210 ] simplifiying candidate # 61.626 * [simplify]: Simplifying (/ 1 2) 61.626 * * [simplify]: iters left: 2 (3 enodes) 61.628 * * [simplify]: iters left: 1 (12 enodes) 61.630 * * [simplify]: Extracting #0: cost 1 inf + 0 61.630 * * [simplify]: Extracting #1: cost 0 inf + 1 61.630 * [simplify]: Simplified to 1/2 61.630 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow n (- 1 k)) 1/2) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.630 * * * * [progress]: [ 27 / 210 ] simplifiying candidate # 61.631 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 61.631 * * [simplify]: iters left: 5 (9 enodes) 61.633 * * [simplify]: iters left: 4 (38 enodes) 61.642 * * [simplify]: iters left: 3 (63 enodes) 61.663 * * [simplify]: iters left: 2 (98 enodes) 61.697 * * [simplify]: iters left: 1 (167 enodes) 61.756 * * [simplify]: Extracting #0: cost 1 inf + 0 61.756 * * [simplify]: Extracting #1: cost 13 inf + 0 61.756 * * [simplify]: Extracting #2: cost 54 inf + 1 61.756 * * [simplify]: Extracting #3: cost 87 inf + 5 61.757 * * [simplify]: Extracting #4: cost 68 inf + 1334 61.758 * * [simplify]: Extracting #5: cost 40 inf + 5047 61.760 * * [simplify]: Extracting #6: cost 11 inf + 17686 61.764 * * [simplify]: Extracting #7: cost 0 inf + 25802 61.771 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 61.772 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.772 * * * * [progress]: [ 28 / 210 ] simplifiying candidate # 61.772 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 61.772 * * [simplify]: iters left: 5 (8 enodes) 61.778 * * [simplify]: iters left: 4 (35 enodes) 61.788 * * [simplify]: iters left: 3 (56 enodes) 61.798 * * [simplify]: iters left: 2 (89 enodes) 61.816 * * [simplify]: iters left: 1 (175 enodes) 61.857 * * [simplify]: Extracting #0: cost 1 inf + 0 61.857 * * [simplify]: Extracting #1: cost 13 inf + 0 61.857 * * [simplify]: Extracting #2: cost 53 inf + 1 61.857 * * [simplify]: Extracting #3: cost 83 inf + 47 61.858 * * [simplify]: Extracting #4: cost 66 inf + 2084 61.861 * * [simplify]: Extracting #5: cost 25 inf + 7926 61.866 * * [simplify]: Extracting #6: cost 3 inf + 20905 61.872 * * [simplify]: Extracting #7: cost 0 inf + 22641 61.879 * * [simplify]: Extracting #8: cost 0 inf + 22420 61.885 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 61.885 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.885 * * * * [progress]: [ 29 / 210 ] simplifiying candidate # 61.885 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 61.885 * * [simplify]: iters left: 5 (6 enodes) 61.890 * * [simplify]: iters left: 4 (24 enodes) 61.898 * * [simplify]: iters left: 3 (33 enodes) 61.907 * * [simplify]: Extracting #0: cost 1 inf + 0 61.907 * * [simplify]: Extracting #1: cost 0 inf + 1 61.907 * [simplify]: Simplified to 1 61.907 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (* (* 1 (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 61.907 * * * * [progress]: [ 30 / 210 ] simplifiying candidate # 61.907 * * * * [progress]: [ 31 / 210 ] simplifiying candidate # 61.907 * * * * [progress]: [ 32 / 210 ] simplifiying candidate # 61.907 * * * * [progress]: [ 33 / 210 ] simplifiying candidate # 61.908 * * * * [progress]: [ 34 / 210 ] simplifiying candidate # 61.908 * * * * [progress]: [ 35 / 210 ] simplifiying candidate # 61.908 * * * * [progress]: [ 36 / 210 ] simplifiying candidate # 61.908 * * * * [progress]: [ 37 / 210 ] simplifiying candidate # 61.908 * * * * [progress]: [ 38 / 210 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)))> 61.908 * * * * [progress]: [ 39 / 210 ] simplifiying candidate # 61.908 * [simplify]: Simplifying (* (log PI) (/ (- 1 k) 2)) 61.908 * * [simplify]: iters left: 6 (8 enodes) 61.913 * * [simplify]: iters left: 5 (35 enodes) 61.924 * * [simplify]: iters left: 4 (56 enodes) 61.941 * * [simplify]: iters left: 3 (70 enodes) 61.962 * * [simplify]: iters left: 2 (125 enodes) 61.987 * * [simplify]: iters left: 1 (158 enodes) 62.033 * * [simplify]: Extracting #0: cost 1 inf + 0 62.033 * * [simplify]: Extracting #1: cost 16 inf + 0 62.034 * * [simplify]: Extracting #2: cost 41 inf + 3 62.034 * * [simplify]: Extracting #3: cost 33 inf + 990 62.036 * * [simplify]: Extracting #4: cost 6 inf + 4107 62.038 * * [simplify]: Extracting #5: cost 0 inf + 5034 62.041 * [simplify]: Simplified to (- (* 1/2 (log PI)) (* k (* 1/2 (log PI)))) 62.041 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (exp (- (* 1/2 (log PI)) (* k (* 1/2 (log PI))))))) (sqrt k))) 62.042 * * * * [progress]: [ 40 / 210 ] simplifiying candidate # 62.042 * * * * [progress]: [ 41 / 210 ] simplifiying candidate # 62.042 * * * * [progress]: [ 42 / 210 ] simplifiying candidate # 62.042 * [simplify]: Simplifying (pow PI (/ k 2)) 62.042 * * [simplify]: iters left: 3 (5 enodes) 62.045 * * [simplify]: iters left: 2 (18 enodes) 62.051 * * [simplify]: iters left: 1 (30 enodes) 62.062 * * [simplify]: Extracting #0: cost 1 inf + 0 62.062 * * [simplify]: Extracting #1: cost 10 inf + 0 62.062 * * [simplify]: Extracting #2: cost 23 inf + 1 62.062 * * [simplify]: Extracting #3: cost 23 inf + 46 62.063 * * [simplify]: Extracting #4: cost 11 inf + 1346 62.063 * * [simplify]: Extracting #5: cost 1 inf + 3938 62.064 * * [simplify]: Extracting #6: cost 0 inf + 4111 62.065 * * [simplify]: Extracting #7: cost 0 inf + 4070 62.066 * [simplify]: Simplified to (pow PI (/ k 2)) 62.066 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))) (sqrt k))) 62.066 * * * * [progress]: [ 43 / 210 ] simplifiying candidate # 62.067 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 62.067 * * [simplify]: iters left: 5 (6 enodes) 62.071 * * [simplify]: iters left: 4 (26 enodes) 62.079 * * [simplify]: iters left: 3 (35 enodes) 62.090 * * [simplify]: Extracting #0: cost 1 inf + 0 62.090 * * [simplify]: Extracting #1: cost 3 inf + 0 62.090 * * [simplify]: Extracting #2: cost 8 inf + 0 62.090 * * [simplify]: Extracting #3: cost 11 inf + 2 62.090 * * [simplify]: Extracting #4: cost 8 inf + 87 62.090 * * [simplify]: Extracting #5: cost 2 inf + 500 62.091 * * [simplify]: Extracting #6: cost 0 inf + 746 62.091 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 62.091 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (sqrt k))) 62.091 * * * * [progress]: [ 44 / 210 ] simplifiying candidate # 62.091 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 62.091 * * [simplify]: iters left: 5 (6 enodes) 62.093 * * [simplify]: iters left: 4 (26 enodes) 62.100 * * [simplify]: iters left: 3 (35 enodes) 62.106 * * [simplify]: Extracting #0: cost 1 inf + 0 62.106 * * [simplify]: Extracting #1: cost 3 inf + 0 62.106 * * [simplify]: Extracting #2: cost 8 inf + 0 62.106 * * [simplify]: Extracting #3: cost 11 inf + 2 62.106 * * [simplify]: Extracting #4: cost 8 inf + 87 62.106 * * [simplify]: Extracting #5: cost 2 inf + 460 62.106 * * [simplify]: Extracting #6: cost 0 inf + 666 62.106 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 62.106 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (sqrt k))) 62.107 * * * * [progress]: [ 45 / 210 ] simplifiying candidate # 62.107 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 62.107 * * [simplify]: iters left: 5 (7 enodes) 62.109 * * [simplify]: iters left: 4 (25 enodes) 62.114 * * [simplify]: iters left: 3 (30 enodes) 62.120 * * [simplify]: Extracting #0: cost 1 inf + 0 62.120 * * [simplify]: Extracting #1: cost 4 inf + 0 62.120 * * [simplify]: Extracting #2: cost 8 inf + 0 62.120 * * [simplify]: Extracting #3: cost 10 inf + 82 62.120 * * [simplify]: Extracting #4: cost 7 inf + 206 62.120 * * [simplify]: Extracting #5: cost 2 inf + 575 62.120 * * [simplify]: Extracting #6: cost 1 inf + 818 62.121 * * [simplify]: Extracting #7: cost 0 inf + 1061 62.121 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 62.121 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))) (sqrt k))) 62.121 * * * * [progress]: [ 46 / 210 ] simplifiying candidate # 62.122 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 62.122 * * [simplify]: iters left: 5 (7 enodes) 62.126 * * [simplify]: iters left: 4 (25 enodes) 62.134 * * [simplify]: iters left: 3 (30 enodes) 62.144 * * [simplify]: Extracting #0: cost 1 inf + 0 62.144 * * [simplify]: Extracting #1: cost 4 inf + 0 62.144 * * [simplify]: Extracting #2: cost 8 inf + 0 62.144 * * [simplify]: Extracting #3: cost 10 inf + 42 62.144 * * [simplify]: Extracting #4: cost 7 inf + 126 62.144 * * [simplify]: Extracting #5: cost 2 inf + 495 62.145 * * [simplify]: Extracting #6: cost 1 inf + 698 62.145 * * [simplify]: Extracting #7: cost 0 inf + 901 62.145 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 62.146 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))) (sqrt k))) 62.146 * * * * [progress]: [ 47 / 210 ] simplifiying candidate # 62.146 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 62.146 * * [simplify]: iters left: 5 (6 enodes) 62.150 * * [simplify]: iters left: 4 (22 enodes) 62.157 * * [simplify]: iters left: 3 (27 enodes) 62.165 * * [simplify]: Extracting #0: cost 1 inf + 0 62.165 * * [simplify]: Extracting #1: cost 4 inf + 0 62.165 * * [simplify]: Extracting #2: cost 5 inf + 1 62.165 * * [simplify]: Extracting #3: cost 9 inf + 1 62.165 * * [simplify]: Extracting #4: cost 8 inf + 3 62.165 * * [simplify]: Extracting #5: cost 4 inf + 169 62.165 * * [simplify]: Extracting #6: cost 1 inf + 576 62.166 * * [simplify]: Extracting #7: cost 0 inf + 739 62.166 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 62.166 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))) (sqrt k))) 62.166 * * * * [progress]: [ 48 / 210 ] simplifiying candidate # 62.167 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 62.167 * * [simplify]: iters left: 5 (7 enodes) 62.171 * * [simplify]: iters left: 4 (25 enodes) 62.179 * * [simplify]: iters left: 3 (30 enodes) 62.189 * * [simplify]: Extracting #0: cost 1 inf + 0 62.189 * * [simplify]: Extracting #1: cost 4 inf + 0 62.189 * * [simplify]: Extracting #2: cost 8 inf + 0 62.189 * * [simplify]: Extracting #3: cost 10 inf + 82 62.189 * * [simplify]: Extracting #4: cost 7 inf + 206 62.189 * * [simplify]: Extracting #5: cost 2 inf + 495 62.189 * * [simplify]: Extracting #6: cost 1 inf + 698 62.190 * * [simplify]: Extracting #7: cost 0 inf + 901 62.190 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 62.190 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))) (sqrt k))) 62.190 * * * * [progress]: [ 49 / 210 ] simplifiying candidate # 62.191 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 62.191 * * [simplify]: iters left: 5 (7 enodes) 62.195 * * [simplify]: iters left: 4 (25 enodes) 62.203 * * [simplify]: iters left: 3 (30 enodes) 62.213 * * [simplify]: Extracting #0: cost 1 inf + 0 62.213 * * [simplify]: Extracting #1: cost 4 inf + 0 62.213 * * [simplify]: Extracting #2: cost 8 inf + 0 62.213 * * [simplify]: Extracting #3: cost 10 inf + 42 62.213 * * [simplify]: Extracting #4: cost 7 inf + 126 62.213 * * [simplify]: Extracting #5: cost 2 inf + 415 62.214 * * [simplify]: Extracting #6: cost 1 inf + 578 62.214 * * [simplify]: Extracting #7: cost 0 inf + 741 62.214 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 62.214 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))) (sqrt k))) 62.214 * * * * [progress]: [ 50 / 210 ] simplifiying candidate # 62.215 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 62.215 * * [simplify]: iters left: 5 (6 enodes) 62.218 * * [simplify]: iters left: 4 (22 enodes) 62.222 * * [simplify]: iters left: 3 (27 enodes) 62.227 * * [simplify]: Extracting #0: cost 1 inf + 0 62.227 * * [simplify]: Extracting #1: cost 4 inf + 0 62.227 * * [simplify]: Extracting #2: cost 5 inf + 1 62.227 * * [simplify]: Extracting #3: cost 9 inf + 1 62.227 * * [simplify]: Extracting #4: cost 8 inf + 3 62.227 * * [simplify]: Extracting #5: cost 4 inf + 169 62.227 * * [simplify]: Extracting #6: cost 1 inf + 456 62.227 * * [simplify]: Extracting #7: cost 0 inf + 579 62.227 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 62.227 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))) (sqrt k))) 62.227 * * * * [progress]: [ 51 / 210 ] simplifiying candidate # 62.228 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 62.228 * * [simplify]: iters left: 4 (6 enodes) 62.232 * * [simplify]: iters left: 3 (25 enodes) 62.237 * * [simplify]: iters left: 2 (36 enodes) 62.243 * * [simplify]: iters left: 1 (40 enodes) 62.251 * * [simplify]: Extracting #0: cost 1 inf + 0 62.251 * * [simplify]: Extracting #1: cost 7 inf + 0 62.251 * * [simplify]: Extracting #2: cost 16 inf + 0 62.251 * * [simplify]: Extracting #3: cost 13 inf + 44 62.251 * * [simplify]: Extracting #4: cost 3 inf + 1103 62.252 * * [simplify]: Extracting #5: cost 0 inf + 1469 62.252 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 62.252 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt k))) 62.252 * * * * [progress]: [ 52 / 210 ] simplifiying candidate # 62.253 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 62.253 * * [simplify]: iters left: 4 (6 enodes) 62.257 * * [simplify]: iters left: 3 (25 enodes) 62.265 * * [simplify]: iters left: 2 (36 enodes) 62.276 * * [simplify]: iters left: 1 (40 enodes) 62.288 * * [simplify]: Extracting #0: cost 1 inf + 0 62.288 * * [simplify]: Extracting #1: cost 7 inf + 0 62.288 * * [simplify]: Extracting #2: cost 16 inf + 0 62.288 * * [simplify]: Extracting #3: cost 13 inf + 44 62.288 * * [simplify]: Extracting #4: cost 3 inf + 823 62.289 * * [simplify]: Extracting #5: cost 0 inf + 1069 62.290 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 62.290 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt k))) 62.290 * * * * [progress]: [ 53 / 210 ] simplifiying candidate # 62.290 * [simplify]: Simplifying (/ (- 1 k) 2) 62.290 * * [simplify]: iters left: 4 (5 enodes) 62.294 * * [simplify]: iters left: 3 (23 enodes) 62.302 * * [simplify]: iters left: 2 (32 enodes) 62.312 * * [simplify]: Extracting #0: cost 1 inf + 0 62.312 * * [simplify]: Extracting #1: cost 6 inf + 0 62.312 * * [simplify]: Extracting #2: cost 9 inf + 2 62.312 * * [simplify]: Extracting #3: cost 6 inf + 87 62.312 * * [simplify]: Extracting #4: cost 0 inf + 420 62.313 * [simplify]: Simplified to (/ (- 1 k) 2) 62.313 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))) (sqrt k))) 62.313 * * * * [progress]: [ 54 / 210 ] simplifiying candidate # 62.313 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 62.313 * * [simplify]: iters left: 5 (8 enodes) 62.318 * * [simplify]: iters left: 4 (31 enodes) 62.328 * * [simplify]: iters left: 3 (45 enodes) 62.334 * * [simplify]: iters left: 2 (51 enodes) 62.342 * * [simplify]: iters left: 1 (52 enodes) 62.349 * * [simplify]: Extracting #0: cost 1 inf + 0 62.349 * * [simplify]: Extracting #1: cost 8 inf + 0 62.349 * * [simplify]: Extracting #2: cost 18 inf + 0 62.349 * * [simplify]: Extracting #3: cost 19 inf + 2 62.349 * * [simplify]: Extracting #4: cost 9 inf + 977 62.350 * * [simplify]: Extracting #5: cost 2 inf + 1790 62.350 * * [simplify]: Extracting #6: cost 0 inf + 2195 62.350 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 62.351 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt k))) 62.351 * * * * [progress]: [ 55 / 210 ] simplifiying candidate # 62.351 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 62.351 * * [simplify]: iters left: 5 (8 enodes) 62.356 * * [simplify]: iters left: 4 (31 enodes) 62.366 * * [simplify]: iters left: 3 (45 enodes) 62.379 * * [simplify]: iters left: 2 (51 enodes) 62.393 * * [simplify]: iters left: 1 (52 enodes) 62.407 * * [simplify]: Extracting #0: cost 1 inf + 0 62.407 * * [simplify]: Extracting #1: cost 8 inf + 0 62.407 * * [simplify]: Extracting #2: cost 18 inf + 0 62.407 * * [simplify]: Extracting #3: cost 19 inf + 2 62.408 * * [simplify]: Extracting #4: cost 9 inf + 697 62.408 * * [simplify]: Extracting #5: cost 2 inf + 1390 62.409 * * [simplify]: Extracting #6: cost 0 inf + 1715 62.409 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 62.410 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt k))) 62.410 * * * * [progress]: [ 56 / 210 ] simplifiying candidate # 62.410 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 62.410 * * [simplify]: iters left: 5 (7 enodes) 62.415 * * [simplify]: iters left: 4 (29 enodes) 62.425 * * [simplify]: iters left: 3 (43 enodes) 62.436 * * [simplify]: iters left: 2 (47 enodes) 62.448 * * [simplify]: Extracting #0: cost 1 inf + 0 62.449 * * [simplify]: Extracting #1: cost 7 inf + 0 62.449 * * [simplify]: Extracting #2: cost 11 inf + 2 62.449 * * [simplify]: Extracting #3: cost 13 inf + 3 62.449 * * [simplify]: Extracting #4: cost 11 inf + 45 62.449 * * [simplify]: Extracting #5: cost 0 inf + 1066 62.450 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 62.450 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 62.450 * * * * [progress]: [ 57 / 210 ] simplifiying candidate # 62.450 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 62.450 * * [simplify]: iters left: 5 (7 enodes) 62.455 * * [simplify]: iters left: 4 (28 enodes) 62.465 * * [simplify]: iters left: 3 (39 enodes) 62.476 * * [simplify]: iters left: 2 (43 enodes) 62.483 * * [simplify]: Extracting #0: cost 1 inf + 0 62.483 * * [simplify]: Extracting #1: cost 7 inf + 0 62.483 * * [simplify]: Extracting #2: cost 16 inf + 0 62.483 * * [simplify]: Extracting #3: cost 15 inf + 164 62.483 * * [simplify]: Extracting #4: cost 13 inf + 287 62.483 * * [simplify]: Extracting #5: cost 5 inf + 1180 62.484 * * [simplify]: Extracting #6: cost 0 inf + 1951 62.484 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 62.484 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))) (sqrt k))) 62.484 * * * * [progress]: [ 58 / 210 ] simplifiying candidate # 62.484 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 62.484 * * [simplify]: iters left: 5 (7 enodes) 62.487 * * [simplify]: iters left: 4 (28 enodes) 62.492 * * [simplify]: iters left: 3 (39 enodes) 62.501 * * [simplify]: iters left: 2 (43 enodes) 62.508 * * [simplify]: Extracting #0: cost 1 inf + 0 62.508 * * [simplify]: Extracting #1: cost 7 inf + 0 62.508 * * [simplify]: Extracting #2: cost 16 inf + 0 62.508 * * [simplify]: Extracting #3: cost 15 inf + 84 62.508 * * [simplify]: Extracting #4: cost 13 inf + 167 62.508 * * [simplify]: Extracting #5: cost 5 inf + 900 62.509 * * [simplify]: Extracting #6: cost 0 inf + 1551 62.509 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 62.509 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))) (sqrt k))) 62.509 * * * * [progress]: [ 59 / 210 ] simplifiying candidate # 62.510 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 62.510 * * [simplify]: iters left: 5 (6 enodes) 62.512 * * [simplify]: iters left: 4 (26 enodes) 62.517 * * [simplify]: iters left: 3 (35 enodes) 62.522 * * [simplify]: Extracting #0: cost 1 inf + 0 62.522 * * [simplify]: Extracting #1: cost 6 inf + 0 62.522 * * [simplify]: Extracting #2: cost 9 inf + 2 62.522 * * [simplify]: Extracting #3: cost 11 inf + 3 62.522 * * [simplify]: Extracting #4: cost 10 inf + 4 62.522 * * [simplify]: Extracting #5: cost 3 inf + 535 62.523 * * [simplify]: Extracting #6: cost 0 inf + 822 62.523 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 62.523 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))) (sqrt k))) 62.523 * * * * [progress]: [ 60 / 210 ] simplifiying candidate # 62.523 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 62.523 * * [simplify]: iters left: 4 (6 enodes) 62.525 * * [simplify]: iters left: 3 (25 enodes) 62.530 * * [simplify]: iters left: 2 (36 enodes) 62.535 * * [simplify]: iters left: 1 (40 enodes) 62.542 * * [simplify]: Extracting #0: cost 1 inf + 0 62.542 * * [simplify]: Extracting #1: cost 7 inf + 0 62.542 * * [simplify]: Extracting #2: cost 16 inf + 0 62.542 * * [simplify]: Extracting #3: cost 13 inf + 44 62.542 * * [simplify]: Extracting #4: cost 3 inf + 1103 62.542 * * [simplify]: Extracting #5: cost 0 inf + 1469 62.542 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 62.542 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))) (sqrt k))) 62.543 * * * * [progress]: [ 61 / 210 ] simplifiying candidate # 62.543 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 62.543 * * [simplify]: iters left: 4 (6 enodes) 62.545 * * [simplify]: iters left: 3 (25 enodes) 62.552 * * [simplify]: iters left: 2 (36 enodes) 62.563 * * [simplify]: iters left: 1 (40 enodes) 62.575 * * [simplify]: Extracting #0: cost 1 inf + 0 62.575 * * [simplify]: Extracting #1: cost 7 inf + 0 62.575 * * [simplify]: Extracting #2: cost 16 inf + 0 62.575 * * [simplify]: Extracting #3: cost 13 inf + 44 62.576 * * [simplify]: Extracting #4: cost 3 inf + 823 62.576 * * [simplify]: Extracting #5: cost 0 inf + 1069 62.577 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 62.577 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))) (sqrt k))) 62.577 * * * * [progress]: [ 62 / 210 ] simplifiying candidate # 62.577 * [simplify]: Simplifying (/ (- 1 k) 2) 62.577 * * [simplify]: iters left: 4 (5 enodes) 62.581 * * [simplify]: iters left: 3 (23 enodes) 62.589 * * [simplify]: iters left: 2 (32 enodes) 62.599 * * [simplify]: Extracting #0: cost 1 inf + 0 62.599 * * [simplify]: Extracting #1: cost 6 inf + 0 62.599 * * [simplify]: Extracting #2: cost 9 inf + 2 62.599 * * [simplify]: Extracting #3: cost 6 inf + 87 62.599 * * [simplify]: Extracting #4: cost 0 inf + 420 62.600 * [simplify]: Simplified to (/ (- 1 k) 2) 62.600 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))) (sqrt k))) 62.600 * * * * [progress]: [ 63 / 210 ] simplifiying candidate # 62.600 * [simplify]: Simplifying (/ (- 1 k) 2) 62.600 * * [simplify]: iters left: 4 (5 enodes) 62.604 * * [simplify]: iters left: 3 (23 enodes) 62.615 * * [simplify]: iters left: 2 (32 enodes) 62.625 * * [simplify]: Extracting #0: cost 1 inf + 0 62.625 * * [simplify]: Extracting #1: cost 6 inf + 0 62.625 * * [simplify]: Extracting #2: cost 9 inf + 2 62.625 * * [simplify]: Extracting #3: cost 6 inf + 87 62.626 * * [simplify]: Extracting #4: cost 0 inf + 420 62.626 * [simplify]: Simplified to (/ (- 1 k) 2) 62.626 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))) (sqrt k))) 62.626 * * * * [progress]: [ 64 / 210 ] simplifiying candidate # 62.627 * [simplify]: Simplifying (/ 1 2) 62.627 * * [simplify]: iters left: 2 (3 enodes) 62.630 * * [simplify]: iters left: 1 (12 enodes) 62.634 * * [simplify]: Extracting #0: cost 1 inf + 0 62.634 * * [simplify]: Extracting #1: cost 0 inf + 1 62.634 * [simplify]: Simplified to 1/2 62.634 * [simplify]: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2))) (sqrt k))) 62.634 * * * * [progress]: [ 65 / 210 ] simplifiying candidate # 62.635 * [simplify]: Simplifying (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 62.635 * * [simplify]: iters left: 5 (9 enodes) 62.640 * * [simplify]: iters left: 4 (38 enodes) 62.654 * * [simplify]: iters left: 3 (63 enodes) 62.675 * * [simplify]: iters left: 2 (98 enodes) 62.701 * * [simplify]: iters left: 1 (167 enodes) 62.752 * * [simplify]: Extracting #0: cost 1 inf + 0 62.752 * * [simplify]: Extracting #1: cost 13 inf + 0 62.752 * * [simplify]: Extracting #2: cost 54 inf + 1 62.753 * * [simplify]: Extracting #3: cost 87 inf + 5 62.754 * * [simplify]: Extracting #4: cost 68 inf + 1334 62.756 * * [simplify]: Extracting #5: cost 40 inf + 5047 62.760 * * [simplify]: Extracting #6: cost 11 inf + 17686 62.767 * * [simplify]: Extracting #7: cost 0 inf + 25802 62.774 * [simplify]: Simplified to (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 62.774 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))))) (sqrt k))) 62.775 * * * * [progress]: [ 66 / 210 ] simplifiying candidate # 62.775 * [simplify]: Simplifying (pow (sqrt PI) (/ (- 1 k) 2)) 62.775 * * [simplify]: iters left: 5 (8 enodes) 62.780 * * [simplify]: iters left: 4 (35 enodes) 62.792 * * [simplify]: iters left: 3 (56 enodes) 62.812 * * [simplify]: iters left: 2 (89 enodes) 62.846 * * [simplify]: iters left: 1 (175 enodes) 62.917 * * [simplify]: Extracting #0: cost 1 inf + 0 62.917 * * [simplify]: Extracting #1: cost 13 inf + 0 62.918 * * [simplify]: Extracting #2: cost 53 inf + 1 62.918 * * [simplify]: Extracting #3: cost 83 inf + 47 62.919 * * [simplify]: Extracting #4: cost 66 inf + 2084 62.922 * * [simplify]: Extracting #5: cost 25 inf + 7926 62.927 * * [simplify]: Extracting #6: cost 3 inf + 20905 62.930 * * [simplify]: Extracting #7: cost 0 inf + 22641 62.933 * * [simplify]: Extracting #8: cost 0 inf + 22420 62.936 * [simplify]: Simplified to (pow (sqrt PI) (/ (- 1 k) 2)) 62.936 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))))) (sqrt k))) 62.936 * * * * [progress]: [ 67 / 210 ] simplifiying candidate # 62.936 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 62.936 * * [simplify]: iters left: 5 (6 enodes) 62.939 * * [simplify]: iters left: 4 (24 enodes) 62.943 * * [simplify]: iters left: 3 (33 enodes) 62.948 * * [simplify]: Extracting #0: cost 1 inf + 0 62.948 * * [simplify]: Extracting #1: cost 0 inf + 1 62.948 * [simplify]: Simplified to 1 62.948 * [simplify]: Simplified (2 1 2 2 1) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2))))) (sqrt k))) 62.949 * * * * [progress]: [ 68 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 69 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 70 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 71 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 72 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 73 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 74 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 75 / 210 ] simplifiying candidate # 62.949 * * * * [progress]: [ 76 / 210 ] simplifiying candidate #real (real->posit16 (pow PI (/ (- 1 k) 2)))))) (sqrt k)))> 62.949 * * * * [progress]: [ 77 / 210 ] simplifiying candidate # 62.949 * [simplify]: Simplifying (* n (* 2 PI)) 62.949 * * [simplify]: iters left: 4 (5 enodes) 62.951 * * [simplify]: iters left: 3 (19 enodes) 62.954 * * [simplify]: iters left: 2 (27 enodes) 62.958 * * [simplify]: iters left: 1 (32 enodes) 62.962 * * [simplify]: Extracting #0: cost 1 inf + 0 62.962 * * [simplify]: Extracting #1: cost 8 inf + 0 62.962 * * [simplify]: Extracting #2: cost 7 inf + 45 62.963 * * [simplify]: Extracting #3: cost 0 inf + 421 62.963 * [simplify]: Simplified to (* (* PI 2) n) 62.963 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) 62.963 * [simplify]: Simplifying (/ (- 1 k) 2) 62.963 * * [simplify]: iters left: 4 (5 enodes) 62.965 * * [simplify]: iters left: 3 (23 enodes) 62.969 * * [simplify]: iters left: 2 (32 enodes) 62.978 * * [simplify]: Extracting #0: cost 1 inf + 0 62.978 * * [simplify]: Extracting #1: cost 6 inf + 0 62.978 * * [simplify]: Extracting #2: cost 9 inf + 2 62.978 * * [simplify]: Extracting #3: cost 6 inf + 87 62.979 * * [simplify]: Extracting #4: cost 0 inf + 420 62.979 * [simplify]: Simplified to (/ (- 1 k) 2) 62.979 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) 62.979 * * * * [progress]: [ 78 / 210 ] simplifiying candidate # 62.979 * * * * [progress]: [ 79 / 210 ] simplifiying candidate # 62.980 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 62.980 * * [simplify]: iters left: 6 (15 enodes) 62.988 * * [simplify]: iters left: 5 (68 enodes) 63.009 * * [simplify]: iters left: 4 (132 enodes) 63.033 * * [simplify]: iters left: 3 (210 enodes) 63.087 * * [simplify]: iters left: 2 (446 enodes) 63.230 * * [simplify]: Extracting #0: cost 1 inf + 0 63.230 * * [simplify]: Extracting #1: cost 20 inf + 0 63.231 * * [simplify]: Extracting #2: cost 118 inf + 1 63.232 * * [simplify]: Extracting #3: cost 190 inf + 393 63.236 * * [simplify]: Extracting #4: cost 130 inf + 11269 63.249 * * [simplify]: Extracting #5: cost 16 inf + 40619 63.265 * * [simplify]: Extracting #6: cost 0 inf + 45622 63.281 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 63.282 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 63.282 * * * * [progress]: [ 80 / 210 ] simplifiying candidate # 63.282 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 63.282 * * [simplify]: iters left: 6 (15 enodes) 63.291 * * [simplify]: iters left: 5 (68 enodes) 63.309 * * [simplify]: iters left: 4 (132 enodes) 63.335 * * [simplify]: iters left: 3 (210 enodes) 63.401 * * [simplify]: iters left: 2 (446 enodes) 63.580 * * [simplify]: Extracting #0: cost 1 inf + 0 63.580 * * [simplify]: Extracting #1: cost 20 inf + 0 63.581 * * [simplify]: Extracting #2: cost 118 inf + 1 63.582 * * [simplify]: Extracting #3: cost 190 inf + 393 63.586 * * [simplify]: Extracting #4: cost 130 inf + 11269 63.599 * * [simplify]: Extracting #5: cost 16 inf + 40619 63.616 * * [simplify]: Extracting #6: cost 0 inf + 45622 63.637 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 63.637 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 63.637 * * * * [progress]: [ 81 / 210 ] simplifiying candidate # 63.638 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 63.638 * * [simplify]: iters left: 6 (15 enodes) 63.643 * * [simplify]: iters left: 5 (68 enodes) 63.655 * * [simplify]: iters left: 4 (133 enodes) 63.688 * * [simplify]: iters left: 3 (255 enodes) 63.752 * * [simplify]: Extracting #0: cost 1 inf + 0 63.753 * * [simplify]: Extracting #1: cost 23 inf + 0 63.753 * * [simplify]: Extracting #2: cost 102 inf + 1 63.754 * * [simplify]: Extracting #3: cost 154 inf + 297 63.756 * * [simplify]: Extracting #4: cost 146 inf + 3473 63.764 * * [simplify]: Extracting #5: cost 45 inf + 22605 63.776 * * [simplify]: Extracting #6: cost 4 inf + 37254 63.789 * * [simplify]: Extracting #7: cost 0 inf + 39427 63.802 * * [simplify]: Extracting #8: cost 0 inf + 38942 63.816 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) 63.816 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 63.816 * * * * [progress]: [ 82 / 210 ] simplifiying candidate # 63.816 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 63.816 * * [simplify]: iters left: 6 (15 enodes) 63.825 * * [simplify]: iters left: 5 (68 enodes) 63.842 * * [simplify]: iters left: 4 (132 enodes) 63.865 * * [simplify]: iters left: 3 (210 enodes) 63.917 * * [simplify]: iters left: 2 (446 enodes) 64.056 * * [simplify]: Extracting #0: cost 1 inf + 0 64.056 * * [simplify]: Extracting #1: cost 20 inf + 0 64.056 * * [simplify]: Extracting #2: cost 118 inf + 1 64.058 * * [simplify]: Extracting #3: cost 190 inf + 393 64.062 * * [simplify]: Extracting #4: cost 130 inf + 11269 64.074 * * [simplify]: Extracting #5: cost 16 inf + 40619 64.091 * * [simplify]: Extracting #6: cost 0 inf + 45622 64.099 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 64.100 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 64.100 * * * * [progress]: [ 83 / 210 ] simplifiying candidate # 64.100 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 64.100 * * [simplify]: iters left: 6 (15 enodes) 64.108 * * [simplify]: iters left: 5 (68 enodes) 64.121 * * [simplify]: iters left: 4 (132 enodes) 64.162 * * [simplify]: iters left: 3 (210 enodes) 64.236 * * [simplify]: iters left: 2 (446 enodes) 64.410 * * [simplify]: Extracting #0: cost 1 inf + 0 64.410 * * [simplify]: Extracting #1: cost 20 inf + 0 64.411 * * [simplify]: Extracting #2: cost 118 inf + 1 64.412 * * [simplify]: Extracting #3: cost 190 inf + 393 64.416 * * [simplify]: Extracting #4: cost 130 inf + 11269 64.423 * * [simplify]: Extracting #5: cost 16 inf + 40619 64.432 * * [simplify]: Extracting #6: cost 0 inf + 45622 64.444 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 64.444 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 64.444 * * * * [progress]: [ 84 / 210 ] simplifiying candidate # 64.444 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 64.444 * * [simplify]: iters left: 6 (15 enodes) 64.449 * * [simplify]: iters left: 5 (68 enodes) 64.462 * * [simplify]: iters left: 4 (133 enodes) 64.497 * * [simplify]: iters left: 3 (255 enodes) 64.582 * * [simplify]: Extracting #0: cost 1 inf + 0 64.582 * * [simplify]: Extracting #1: cost 23 inf + 0 64.583 * * [simplify]: Extracting #2: cost 102 inf + 1 64.584 * * [simplify]: Extracting #3: cost 154 inf + 297 64.586 * * [simplify]: Extracting #4: cost 146 inf + 3473 64.590 * * [simplify]: Extracting #5: cost 45 inf + 22605 64.596 * * [simplify]: Extracting #6: cost 4 inf + 37254 64.603 * * [simplify]: Extracting #7: cost 0 inf + 39427 64.609 * * [simplify]: Extracting #8: cost 0 inf + 38942 64.617 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) 64.617 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 64.617 * * * * [progress]: [ 85 / 210 ] simplifiying candidate # 64.617 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 64.617 * * [simplify]: iters left: 6 (15 enodes) 64.625 * * [simplify]: iters left: 5 (68 enodes) 64.650 * * [simplify]: iters left: 4 (133 enodes) 64.675 * * [simplify]: iters left: 3 (255 enodes) 64.747 * * [simplify]: Extracting #0: cost 1 inf + 0 64.747 * * [simplify]: Extracting #1: cost 24 inf + 0 64.748 * * [simplify]: Extracting #2: cost 103 inf + 1 64.748 * * [simplify]: Extracting #3: cost 156 inf + 186 64.751 * * [simplify]: Extracting #4: cost 135 inf + 6147 64.758 * * [simplify]: Extracting #5: cost 42 inf + 24174 64.771 * * [simplify]: Extracting #6: cost 2 inf + 39130 64.780 * * [simplify]: Extracting #7: cost 0 inf + 39751 64.787 * * [simplify]: Extracting #8: cost 0 inf + 39750 64.794 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) 64.794 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2)) (sqrt k))) 64.794 * * * * [progress]: [ 86 / 210 ] simplifiying candidate # 64.795 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 64.795 * * [simplify]: iters left: 6 (15 enodes) 64.799 * * [simplify]: iters left: 5 (68 enodes) 64.813 * * [simplify]: iters left: 4 (133 enodes) 64.865 * * [simplify]: iters left: 3 (255 enodes) 64.922 * * [simplify]: Extracting #0: cost 1 inf + 0 64.923 * * [simplify]: Extracting #1: cost 24 inf + 0 64.923 * * [simplify]: Extracting #2: cost 103 inf + 1 64.924 * * [simplify]: Extracting #3: cost 156 inf + 186 64.931 * * [simplify]: Extracting #4: cost 135 inf + 6147 64.939 * * [simplify]: Extracting #5: cost 42 inf + 24174 64.952 * * [simplify]: Extracting #6: cost 2 inf + 39130 64.966 * * [simplify]: Extracting #7: cost 0 inf + 39751 64.975 * * [simplify]: Extracting #8: cost 0 inf + 39750 64.982 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) 64.982 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2)) (sqrt k))) 64.983 * * * * [progress]: [ 87 / 210 ] simplifiying candidate # 64.983 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 64.983 * * [simplify]: iters left: 6 (15 enodes) 64.988 * * [simplify]: iters left: 5 (69 enodes) 65.000 * * [simplify]: iters left: 4 (135 enodes) 65.046 * * [simplify]: iters left: 3 (278 enodes) 65.166 * * [simplify]: Extracting #0: cost 1 inf + 0 65.166 * * [simplify]: Extracting #1: cost 33 inf + 0 65.167 * * [simplify]: Extracting #2: cost 135 inf + 1 65.168 * * [simplify]: Extracting #3: cost 197 inf + 408 65.171 * * [simplify]: Extracting #4: cost 166 inf + 9446 65.188 * * [simplify]: Extracting #5: cost 49 inf + 39256 65.206 * * [simplify]: Extracting #6: cost 3 inf + 58522 65.226 * * [simplify]: Extracting #7: cost 0 inf + 59462 65.236 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) 65.236 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) (sqrt k))) 65.236 * * * * [progress]: [ 88 / 210 ] simplifiying candidate # 65.236 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 65.237 * * [simplify]: iters left: 6 (14 enodes) 65.241 * * [simplify]: iters left: 5 (63 enodes) 65.253 * * [simplify]: iters left: 4 (130 enodes) 65.287 * * [simplify]: iters left: 3 (293 enodes) 65.443 * * [simplify]: Extracting #0: cost 1 inf + 0 65.443 * * [simplify]: Extracting #1: cost 31 inf + 0 65.443 * * [simplify]: Extracting #2: cost 122 inf + 0 65.444 * * [simplify]: Extracting #3: cost 201 inf + 4 65.446 * * [simplify]: Extracting #4: cost 211 inf + 12359 65.454 * * [simplify]: Extracting #5: cost 91 inf + 60492 65.470 * * [simplify]: Extracting #6: cost 3 inf + 109356 65.500 * * [simplify]: Extracting #7: cost 0 inf + 109154 65.526 * * [simplify]: Extracting #8: cost 0 inf + 108994 65.541 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) 65.541 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI))))) (sqrt k))) 65.541 * * * * [progress]: [ 89 / 210 ] simplifiying candidate # 65.541 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 65.541 * * [simplify]: iters left: 6 (15 enodes) 65.546 * * [simplify]: iters left: 5 (68 enodes) 65.561 * * [simplify]: iters left: 4 (132 enodes) 65.583 * * [simplify]: iters left: 3 (210 enodes) 65.650 * * [simplify]: iters left: 2 (446 enodes) 65.810 * * [simplify]: Extracting #0: cost 1 inf + 0 65.810 * * [simplify]: Extracting #1: cost 20 inf + 0 65.811 * * [simplify]: Extracting #2: cost 118 inf + 1 65.811 * * [simplify]: Extracting #3: cost 190 inf + 393 65.813 * * [simplify]: Extracting #4: cost 130 inf + 11269 65.819 * * [simplify]: Extracting #5: cost 16 inf + 40619 65.828 * * [simplify]: Extracting #6: cost 0 inf + 45622 65.837 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 65.837 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 65.837 * * * * [progress]: [ 90 / 210 ] simplifiying candidate # 65.837 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 65.837 * * [simplify]: iters left: 6 (15 enodes) 65.842 * * [simplify]: iters left: 5 (68 enodes) 65.861 * * [simplify]: iters left: 4 (132 enodes) 65.895 * * [simplify]: iters left: 3 (210 enodes) 65.954 * * [simplify]: iters left: 2 (446 enodes) 66.076 * * [simplify]: Extracting #0: cost 1 inf + 0 66.076 * * [simplify]: Extracting #1: cost 20 inf + 0 66.077 * * [simplify]: Extracting #2: cost 118 inf + 1 66.078 * * [simplify]: Extracting #3: cost 190 inf + 393 66.082 * * [simplify]: Extracting #4: cost 130 inf + 11269 66.095 * * [simplify]: Extracting #5: cost 16 inf + 40619 66.112 * * [simplify]: Extracting #6: cost 0 inf + 45622 66.129 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 66.129 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 66.129 * * * * [progress]: [ 91 / 210 ] simplifiying candidate # 66.129 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 66.130 * * [simplify]: iters left: 6 (15 enodes) 66.138 * * [simplify]: iters left: 5 (68 enodes) 66.163 * * [simplify]: iters left: 4 (133 enodes) 66.216 * * [simplify]: iters left: 3 (255 enodes) 66.319 * * [simplify]: Extracting #0: cost 1 inf + 0 66.319 * * [simplify]: Extracting #1: cost 23 inf + 0 66.319 * * [simplify]: Extracting #2: cost 102 inf + 1 66.320 * * [simplify]: Extracting #3: cost 154 inf + 297 66.321 * * [simplify]: Extracting #4: cost 146 inf + 3473 66.325 * * [simplify]: Extracting #5: cost 45 inf + 22605 66.334 * * [simplify]: Extracting #6: cost 4 inf + 37254 66.341 * * [simplify]: Extracting #7: cost 0 inf + 39427 66.348 * * [simplify]: Extracting #8: cost 0 inf + 38942 66.359 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) 66.359 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 66.359 * * * * [progress]: [ 92 / 210 ] simplifiying candidate # 66.359 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 66.359 * * [simplify]: iters left: 6 (15 enodes) 66.368 * * [simplify]: iters left: 5 (68 enodes) 66.386 * * [simplify]: iters left: 4 (132 enodes) 66.409 * * [simplify]: iters left: 3 (210 enodes) 66.493 * * [simplify]: iters left: 2 (446 enodes) 66.674 * * [simplify]: Extracting #0: cost 1 inf + 0 66.674 * * [simplify]: Extracting #1: cost 20 inf + 0 66.674 * * [simplify]: Extracting #2: cost 118 inf + 1 66.675 * * [simplify]: Extracting #3: cost 190 inf + 393 66.677 * * [simplify]: Extracting #4: cost 130 inf + 11269 66.683 * * [simplify]: Extracting #5: cost 16 inf + 40619 66.696 * * [simplify]: Extracting #6: cost 0 inf + 45622 66.713 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 66.713 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 66.714 * * * * [progress]: [ 93 / 210 ] simplifiying candidate # 66.714 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 66.714 * * [simplify]: iters left: 6 (15 enodes) 66.723 * * [simplify]: iters left: 5 (68 enodes) 66.748 * * [simplify]: iters left: 4 (132 enodes) 66.800 * * [simplify]: iters left: 3 (210 enodes) 66.866 * * [simplify]: iters left: 2 (446 enodes) 67.016 * * [simplify]: Extracting #0: cost 1 inf + 0 67.016 * * [simplify]: Extracting #1: cost 20 inf + 0 67.017 * * [simplify]: Extracting #2: cost 118 inf + 1 67.018 * * [simplify]: Extracting #3: cost 190 inf + 393 67.020 * * [simplify]: Extracting #4: cost 130 inf + 11269 67.027 * * [simplify]: Extracting #5: cost 16 inf + 40619 67.036 * * [simplify]: Extracting #6: cost 0 inf + 45622 67.045 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) 67.045 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n)))) (sqrt k))) 67.045 * * * * [progress]: [ 94 / 210 ] simplifiying candidate # 67.045 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 67.045 * * [simplify]: iters left: 6 (15 enodes) 67.050 * * [simplify]: iters left: 5 (68 enodes) 67.062 * * [simplify]: iters left: 4 (133 enodes) 67.091 * * [simplify]: iters left: 3 (255 enodes) 67.149 * * [simplify]: Extracting #0: cost 1 inf + 0 67.149 * * [simplify]: Extracting #1: cost 23 inf + 0 67.149 * * [simplify]: Extracting #2: cost 102 inf + 1 67.150 * * [simplify]: Extracting #3: cost 154 inf + 297 67.152 * * [simplify]: Extracting #4: cost 146 inf + 3473 67.163 * * [simplify]: Extracting #5: cost 45 inf + 22605 67.175 * * [simplify]: Extracting #6: cost 4 inf + 37254 67.181 * * [simplify]: Extracting #7: cost 0 inf + 39427 67.188 * * [simplify]: Extracting #8: cost 0 inf + 38942 67.195 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI))) 67.195 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log n) (log 2)) (log PI)))) (sqrt k))) 67.196 * * * * [progress]: [ 95 / 210 ] simplifiying candidate # 67.196 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 67.196 * * [simplify]: iters left: 6 (15 enodes) 67.201 * * [simplify]: iters left: 5 (68 enodes) 67.222 * * [simplify]: iters left: 4 (133 enodes) 67.267 * * [simplify]: iters left: 3 (255 enodes) 67.345 * * [simplify]: Extracting #0: cost 1 inf + 0 67.346 * * [simplify]: Extracting #1: cost 24 inf + 0 67.346 * * [simplify]: Extracting #2: cost 103 inf + 1 67.347 * * [simplify]: Extracting #3: cost 156 inf + 186 67.349 * * [simplify]: Extracting #4: cost 135 inf + 6147 67.357 * * [simplify]: Extracting #5: cost 42 inf + 24174 67.369 * * [simplify]: Extracting #6: cost 2 inf + 39130 67.383 * * [simplify]: Extracting #7: cost 0 inf + 39751 67.402 * * [simplify]: Extracting #8: cost 0 inf + 39750 67.416 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) 67.416 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2)) (sqrt k))) 67.416 * * * * [progress]: [ 96 / 210 ] simplifiying candidate # 67.416 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 67.417 * * [simplify]: iters left: 6 (15 enodes) 67.426 * * [simplify]: iters left: 5 (68 enodes) 67.444 * * [simplify]: iters left: 4 (133 enodes) 67.469 * * [simplify]: iters left: 3 (255 enodes) 67.566 * * [simplify]: Extracting #0: cost 1 inf + 0 67.566 * * [simplify]: Extracting #1: cost 24 inf + 0 67.567 * * [simplify]: Extracting #2: cost 103 inf + 1 67.568 * * [simplify]: Extracting #3: cost 156 inf + 186 67.570 * * [simplify]: Extracting #4: cost 135 inf + 6147 67.578 * * [simplify]: Extracting #5: cost 42 inf + 24174 67.591 * * [simplify]: Extracting #6: cost 2 inf + 39130 67.605 * * [simplify]: Extracting #7: cost 0 inf + 39751 67.613 * * [simplify]: Extracting #8: cost 0 inf + 39750 67.620 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) 67.620 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2)) (sqrt k))) 67.620 * * * * [progress]: [ 97 / 210 ] simplifiying candidate # 67.620 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 67.620 * * [simplify]: iters left: 6 (15 enodes) 67.628 * * [simplify]: iters left: 5 (69 enodes) 67.645 * * [simplify]: iters left: 4 (135 enodes) 67.694 * * [simplify]: iters left: 3 (278 enodes) 67.794 * * [simplify]: Extracting #0: cost 1 inf + 0 67.794 * * [simplify]: Extracting #1: cost 33 inf + 0 67.794 * * [simplify]: Extracting #2: cost 135 inf + 1 67.795 * * [simplify]: Extracting #3: cost 197 inf + 408 67.796 * * [simplify]: Extracting #4: cost 166 inf + 9446 67.807 * * [simplify]: Extracting #5: cost 49 inf + 39256 67.826 * * [simplify]: Extracting #6: cost 3 inf + 58522 67.845 * * [simplify]: Extracting #7: cost 0 inf + 59462 67.864 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) 67.865 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2)))) (sqrt k))) 67.865 * * * * [progress]: [ 98 / 210 ] simplifiying candidate # 67.865 * [simplify]: Simplifying (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 67.865 * * [simplify]: iters left: 6 (14 enodes) 67.878 * * [simplify]: iters left: 5 (63 enodes) 67.889 * * [simplify]: iters left: 4 (130 enodes) 67.922 * * [simplify]: iters left: 3 (293 enodes) 68.062 * * [simplify]: Extracting #0: cost 1 inf + 0 68.062 * * [simplify]: Extracting #1: cost 31 inf + 0 68.062 * * [simplify]: Extracting #2: cost 122 inf + 0 68.063 * * [simplify]: Extracting #3: cost 201 inf + 4 68.072 * * [simplify]: Extracting #4: cost 211 inf + 12359 68.088 * * [simplify]: Extracting #5: cost 91 inf + 60492 68.104 * * [simplify]: Extracting #6: cost 3 inf + 109356 68.124 * * [simplify]: Extracting #7: cost 0 inf + 109154 68.145 * * [simplify]: Extracting #8: cost 0 inf + 108994 68.168 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) 68.168 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI))))) (sqrt k))) 68.168 * * * * [progress]: [ 99 / 210 ] simplifiying candidate # 68.168 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 68.168 * * [simplify]: iters left: 6 (15 enodes) 68.178 * * [simplify]: iters left: 5 (70 enodes) 68.197 * * [simplify]: iters left: 4 (142 enodes) 68.229 * * [simplify]: iters left: 3 (267 enodes) 68.314 * * [simplify]: Extracting #0: cost 1 inf + 0 68.314 * * [simplify]: Extracting #1: cost 22 inf + 0 68.315 * * [simplify]: Extracting #2: cost 107 inf + 1 68.316 * * [simplify]: Extracting #3: cost 160 inf + 972 68.320 * * [simplify]: Extracting #4: cost 118 inf + 10457 68.325 * * [simplify]: Extracting #5: cost 66 inf + 23993 68.331 * * [simplify]: Extracting #6: cost 12 inf + 39704 68.339 * * [simplify]: Extracting #7: cost 0 inf + 43072 68.347 * [simplify]: Simplified to (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2) 68.347 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2)) (sqrt k))) 68.347 * * * * [progress]: [ 100 / 210 ] simplifiying candidate # 68.347 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 68.347 * * [simplify]: iters left: 6 (15 enodes) 68.353 * * [simplify]: iters left: 5 (70 enodes) 68.379 * * [simplify]: iters left: 4 (142 enodes) 68.428 * * [simplify]: iters left: 3 (267 enodes) 68.491 * * [simplify]: Extracting #0: cost 1 inf + 0 68.491 * * [simplify]: Extracting #1: cost 22 inf + 0 68.491 * * [simplify]: Extracting #2: cost 107 inf + 1 68.492 * * [simplify]: Extracting #3: cost 160 inf + 972 68.493 * * [simplify]: Extracting #4: cost 118 inf + 10457 68.497 * * [simplify]: Extracting #5: cost 66 inf + 23993 68.503 * * [simplify]: Extracting #6: cost 12 inf + 39704 68.511 * * [simplify]: Extracting #7: cost 0 inf + 43072 68.519 * [simplify]: Simplified to (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2) 68.519 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2)) (sqrt k))) 68.519 * * * * [progress]: [ 101 / 210 ] simplifiying candidate # 68.520 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 68.520 * * [simplify]: iters left: 6 (15 enodes) 68.529 * * [simplify]: iters left: 5 (69 enodes) 68.545 * * [simplify]: iters left: 4 (135 enodes) 68.580 * * [simplify]: iters left: 3 (278 enodes) 68.685 * * [simplify]: Extracting #0: cost 1 inf + 0 68.686 * * [simplify]: Extracting #1: cost 31 inf + 0 68.686 * * [simplify]: Extracting #2: cost 133 inf + 1 68.687 * * [simplify]: Extracting #3: cost 198 inf + 75 68.688 * * [simplify]: Extracting #4: cost 158 inf + 15212 68.705 * * [simplify]: Extracting #5: cost 38 inf + 46338 68.723 * * [simplify]: Extracting #6: cost 2 inf + 57870 68.742 * * [simplify]: Extracting #7: cost 0 inf + 58669 68.761 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log 2) (+ (log n) (log PI)))) 2) 68.762 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log 2) (+ (log n) (log PI)))) 2)) (sqrt k))) 68.762 * * * * [progress]: [ 102 / 210 ] simplifiying candidate # 68.762 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 68.762 * * [simplify]: iters left: 6 (15 enodes) 68.771 * * [simplify]: iters left: 5 (70 enodes) 68.796 * * [simplify]: iters left: 4 (142 enodes) 68.850 * * [simplify]: iters left: 3 (267 enodes) 68.956 * * [simplify]: Extracting #0: cost 1 inf + 0 68.956 * * [simplify]: Extracting #1: cost 22 inf + 0 68.957 * * [simplify]: Extracting #2: cost 107 inf + 1 68.958 * * [simplify]: Extracting #3: cost 160 inf + 972 68.960 * * [simplify]: Extracting #4: cost 118 inf + 10457 68.964 * * [simplify]: Extracting #5: cost 66 inf + 23993 68.973 * * [simplify]: Extracting #6: cost 12 inf + 39704 68.980 * * [simplify]: Extracting #7: cost 0 inf + 43072 68.987 * [simplify]: Simplified to (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2) 68.987 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2)) (sqrt k))) 68.988 * * * * [progress]: [ 103 / 210 ] simplifiying candidate # 68.988 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 68.988 * * [simplify]: iters left: 6 (15 enodes) 68.993 * * [simplify]: iters left: 5 (70 enodes) 69.006 * * [simplify]: iters left: 4 (142 enodes) 69.043 * * [simplify]: iters left: 3 (267 enodes) 69.130 * * [simplify]: Extracting #0: cost 1 inf + 0 69.130 * * [simplify]: Extracting #1: cost 22 inf + 0 69.130 * * [simplify]: Extracting #2: cost 107 inf + 1 69.131 * * [simplify]: Extracting #3: cost 160 inf + 972 69.133 * * [simplify]: Extracting #4: cost 118 inf + 10457 69.137 * * [simplify]: Extracting #5: cost 66 inf + 23993 69.143 * * [simplify]: Extracting #6: cost 12 inf + 39704 69.150 * * [simplify]: Extracting #7: cost 0 inf + 43072 69.161 * [simplify]: Simplified to (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2) 69.161 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (+ (log n) (+ (log 2) (log PI))) (- 1 k)) 2)) (sqrt k))) 69.161 * * * * [progress]: [ 104 / 210 ] simplifiying candidate # 69.161 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 69.162 * * [simplify]: iters left: 6 (15 enodes) 69.166 * * [simplify]: iters left: 5 (69 enodes) 69.178 * * [simplify]: iters left: 4 (135 enodes) 69.218 * * [simplify]: iters left: 3 (278 enodes) 69.318 * * [simplify]: Extracting #0: cost 1 inf + 0 69.318 * * [simplify]: Extracting #1: cost 31 inf + 0 69.319 * * [simplify]: Extracting #2: cost 133 inf + 1 69.320 * * [simplify]: Extracting #3: cost 198 inf + 75 69.323 * * [simplify]: Extracting #4: cost 158 inf + 15212 69.336 * * [simplify]: Extracting #5: cost 38 inf + 46338 69.355 * * [simplify]: Extracting #6: cost 2 inf + 57870 69.374 * * [simplify]: Extracting #7: cost 0 inf + 58669 69.398 * [simplify]: Simplified to (/ (* (- 1 k) (+ (log 2) (+ (log n) (log PI)))) 2) 69.398 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (/ (* (- 1 k) (+ (log 2) (+ (log n) (log PI)))) 2)) (sqrt k))) 69.398 * * * * [progress]: [ 105 / 210 ] simplifiying candidate # 69.398 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 69.399 * * [simplify]: iters left: 6 (15 enodes) 69.408 * * [simplify]: iters left: 5 (69 enodes) 69.431 * * [simplify]: iters left: 4 (135 enodes) 69.480 * * [simplify]: iters left: 3 (278 enodes) 69.560 * * [simplify]: Extracting #0: cost 1 inf + 0 69.560 * * [simplify]: Extracting #1: cost 32 inf + 0 69.560 * * [simplify]: Extracting #2: cost 134 inf + 1 69.561 * * [simplify]: Extracting #3: cost 195 inf + 560 69.563 * * [simplify]: Extracting #4: cost 158 inf + 10456 69.575 * * [simplify]: Extracting #5: cost 36 inf + 45623 69.594 * * [simplify]: Extracting #6: cost 2 inf + 58276 69.608 * * [simplify]: Extracting #7: cost 0 inf + 57626 69.618 * * [simplify]: Extracting #8: cost 0 inf + 57506 69.634 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log PI) (+ (log 2) (log n)))) 69.635 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log PI) (+ (log 2) (log n))))) (sqrt k))) 69.635 * * * * [progress]: [ 106 / 210 ] simplifiying candidate # 69.636 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 69.636 * * [simplify]: iters left: 6 (15 enodes) 69.645 * * [simplify]: iters left: 5 (69 enodes) 69.668 * * [simplify]: iters left: 4 (135 enodes) 69.717 * * [simplify]: iters left: 3 (278 enodes) 69.807 * * [simplify]: Extracting #0: cost 1 inf + 0 69.807 * * [simplify]: Extracting #1: cost 32 inf + 0 69.807 * * [simplify]: Extracting #2: cost 134 inf + 1 69.809 * * [simplify]: Extracting #3: cost 195 inf + 560 69.812 * * [simplify]: Extracting #4: cost 158 inf + 10456 69.823 * * [simplify]: Extracting #5: cost 36 inf + 45623 69.832 * * [simplify]: Extracting #6: cost 2 inf + 58276 69.843 * * [simplify]: Extracting #7: cost 0 inf + 57626 69.857 * * [simplify]: Extracting #8: cost 0 inf + 57506 69.872 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log PI) (+ (log 2) (log n)))) 69.872 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log PI) (+ (log 2) (log n))))) (sqrt k))) 69.872 * * * * [progress]: [ 107 / 210 ] simplifiying candidate # 69.873 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 69.873 * * [simplify]: iters left: 6 (15 enodes) 69.878 * * [simplify]: iters left: 5 (70 enodes) 69.891 * * [simplify]: iters left: 4 (140 enodes) 69.929 * * [simplify]: iters left: 3 (297 enodes) 70.066 * * [simplify]: Extracting #0: cost 1 inf + 0 70.067 * * [simplify]: Extracting #1: cost 41 inf + 0 70.067 * * [simplify]: Extracting #2: cost 164 inf + 1 70.069 * * [simplify]: Extracting #3: cost 237 inf + 185 70.072 * * [simplify]: Extracting #4: cost 204 inf + 10135 70.082 * * [simplify]: Extracting #5: cost 77 inf + 52911 70.098 * * [simplify]: Extracting #6: cost 1 inf + 81535 70.112 * * [simplify]: Extracting #7: cost 0 inf + 80450 70.134 * * [simplify]: Extracting #8: cost 0 inf + 80409 70.151 * [simplify]: Simplified to (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2)) 70.151 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log 2) (+ (log n) (log PI))) (/ (- 1 k) 2))) (sqrt k))) 70.151 * * * * [progress]: [ 108 / 210 ] simplifiying candidate # 70.151 * [simplify]: Simplifying (+ (log (pow n (/ (- 1 k) 2))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 70.151 * * [simplify]: iters left: 6 (14 enodes) 70.156 * * [simplify]: iters left: 5 (64 enodes) 70.168 * * [simplify]: iters left: 4 (131 enodes) 70.197 * * [simplify]: iters left: 3 (312 enodes) 70.355 * * [simplify]: Extracting #0: cost 1 inf + 0 70.355 * * [simplify]: Extracting #1: cost 38 inf + 0 70.356 * * [simplify]: Extracting #2: cost 147 inf + 0 70.357 * * [simplify]: Extracting #3: cost 237 inf + 3 70.360 * * [simplify]: Extracting #4: cost 253 inf + 10532 70.375 * * [simplify]: Extracting #5: cost 116 inf + 60594 70.413 * * [simplify]: Extracting #6: cost 4 inf + 126089 70.448 * * [simplify]: Extracting #7: cost 0 inf + 127102 70.482 * [simplify]: Simplified to (* (/ (- 1 k) 2) (+ (log n) (+ (log PI) (log 2)))) 70.482 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (+ (log n) (+ (log PI) (log 2))))) (sqrt k))) 70.482 * * * * [progress]: [ 109 / 210 ] simplifiying candidate # 70.482 * * * * [progress]: [ 110 / 210 ] simplifiying candidate # 70.482 * * * * [progress]: [ 111 / 210 ] simplifiying candidate # 70.483 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 70.483 * * [simplify]: iters left: 6 (18 enodes) 70.494 * * [simplify]: iters left: 5 (86 enodes) 70.530 * * [simplify]: iters left: 4 (239 enodes) 70.674 * * [simplify]: Extracting #0: cost 1 inf + 0 70.675 * * [simplify]: Extracting #1: cost 60 inf + 0 70.676 * * [simplify]: Extracting #2: cost 317 inf + 0 70.677 * * [simplify]: Extracting #3: cost 345 inf + 4 70.678 * * [simplify]: Extracting #4: cost 350 inf + 9 70.681 * * [simplify]: Extracting #5: cost 300 inf + 20666 70.702 * * [simplify]: Extracting #6: cost 120 inf + 143149 70.744 * * [simplify]: Extracting #7: cost 1 inf + 243873 70.777 * * [simplify]: Extracting #8: cost 0 inf + 243550 70.834 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 2)) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 70.834 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow n (/ (- 1 k) 2)) (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) (sqrt k))) 70.835 * * * * [progress]: [ 112 / 210 ] simplifiying candidate # 70.835 * [simplify]: Simplifying (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 70.835 * * [simplify]: iters left: 6 (16 enodes) 70.846 * * [simplify]: iters left: 5 (82 enodes) 70.873 * * [simplify]: iters left: 4 (251 enodes) 71.027 * * [simplify]: Extracting #0: cost 1 inf + 0 71.027 * * [simplify]: Extracting #1: cost 60 inf + 0 71.028 * * [simplify]: Extracting #2: cost 349 inf + 0 71.030 * * [simplify]: Extracting #3: cost 401 inf + 4 71.032 * * [simplify]: Extracting #4: cost 406 inf + 9 71.038 * * [simplify]: Extracting #5: cost 294 inf + 62904 71.077 * * [simplify]: Extracting #6: cost 57 inf + 250800 71.111 * * [simplify]: Extracting #7: cost 0 inf + 302779 71.179 * * [simplify]: Extracting #8: cost 0 inf + 302620 71.246 * [simplify]: Simplified to (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 71.246 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (sqrt k))) 71.246 * * * * [progress]: [ 113 / 210 ] simplifiying candidate # 71.246 * * * * [progress]: [ 114 / 210 ] simplifiying candidate # 71.247 * * * * [progress]: [ 115 / 210 ] simplifiying candidate # 71.247 * * * * [progress]: [ 116 / 210 ] simplifiying candidate # 71.247 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 71.247 * * [simplify]: iters left: 6 (10 enodes) 71.256 * * [simplify]: iters left: 5 (45 enodes) 71.284 * * [simplify]: iters left: 4 (127 enodes) 71.352 * * [simplify]: iters left: 3 (400 enodes) 71.600 * * [simplify]: Extracting #0: cost 1 inf + 0 71.600 * * [simplify]: Extracting #1: cost 80 inf + 0 71.601 * * [simplify]: Extracting #2: cost 331 inf + 0 71.603 * * [simplify]: Extracting #3: cost 321 inf + 700 71.605 * * [simplify]: Extracting #4: cost 247 inf + 29887 71.616 * * [simplify]: Extracting #5: cost 45 inf + 143361 71.629 * * [simplify]: Extracting #6: cost 0 inf + 171174 71.644 * * [simplify]: Extracting #7: cost 0 inf + 171134 71.669 * [simplify]: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 71.669 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (sqrt k))) 71.670 * [simplify]: Simplifying (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 71.670 * * [simplify]: iters left: 6 (10 enodes) 71.675 * * [simplify]: iters left: 5 (41 enodes) 71.690 * * [simplify]: iters left: 4 (95 enodes) 71.728 * * [simplify]: iters left: 3 (324 enodes) 72.141 * * [simplify]: Extracting #0: cost 1 inf + 0 72.142 * * [simplify]: Extracting #1: cost 95 inf + 0 72.144 * * [simplify]: Extracting #2: cost 400 inf + 0 72.148 * * [simplify]: Extracting #3: cost 415 inf + 4 72.155 * * [simplify]: Extracting #4: cost 341 inf + 32700 72.173 * * [simplify]: Extracting #5: cost 81 inf + 228878 72.225 * * [simplify]: Extracting #6: cost 0 inf + 297226 72.282 * * [simplify]: Extracting #7: cost 0 inf + 296046 72.339 * [simplify]: Simplified to (* (pow n (/ k 2)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 72.339 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (pow n (/ k 2)) (* (pow PI (/ k 2)) (pow 2 (/ k 2))))) (sqrt k))) 72.340 * * * * [progress]: [ 117 / 210 ] simplifiying candidate # 72.340 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 72.340 * * [simplify]: iters left: 6 (13 enodes) 72.349 * * [simplify]: iters left: 5 (59 enodes) 72.380 * * [simplify]: iters left: 4 (146 enodes) 72.430 * * [simplify]: iters left: 3 (424 enodes) 72.691 * * [simplify]: Extracting #0: cost 1 inf + 0 72.691 * * [simplify]: Extracting #1: cost 79 inf + 0 72.693 * * [simplify]: Extracting #2: cost 333 inf + 0 72.694 * * [simplify]: Extracting #3: cost 345 inf + 424 72.697 * * [simplify]: Extracting #4: cost 328 inf + 7325 72.702 * * [simplify]: Extracting #5: cost 217 inf + 60649 72.726 * * [simplify]: Extracting #6: cost 19 inf + 196881 72.753 * * [simplify]: Extracting #7: cost 0 inf + 210813 72.775 * * [simplify]: Extracting #8: cost 0 inf + 210653 72.802 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) 72.802 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (pow n (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 72.802 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow PI (/ k 2))) 72.802 * * [simplify]: iters left: 5 (8 enodes) 72.805 * * [simplify]: iters left: 4 (30 enodes) 72.810 * * [simplify]: iters left: 3 (59 enodes) 72.822 * * [simplify]: iters left: 2 (149 enodes) 72.902 * * [simplify]: Extracting #0: cost 1 inf + 0 72.902 * * [simplify]: Extracting #1: cost 36 inf + 0 72.902 * * [simplify]: Extracting #2: cost 117 inf + 0 72.903 * * [simplify]: Extracting #3: cost 132 inf + 3 72.904 * * [simplify]: Extracting #4: cost 118 inf + 2611 72.906 * * [simplify]: Extracting #5: cost 60 inf + 29072 72.918 * * [simplify]: Extracting #6: cost 7 inf + 58797 72.932 * * [simplify]: Extracting #7: cost 0 inf + 64033 72.946 * * [simplify]: Extracting #8: cost 0 inf + 63950 72.959 * [simplify]: Simplified to (* (pow PI (/ k 2)) (pow n (/ k 2))) 72.960 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (pow PI (/ k 2)) (pow n (/ k 2)))) (sqrt k))) 72.960 * * * * [progress]: [ 118 / 210 ] simplifiying candidate # 72.960 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 72.960 * * [simplify]: iters left: 6 (13 enodes) 72.970 * * [simplify]: iters left: 5 (59 enodes) 73.000 * * [simplify]: iters left: 4 (146 enodes) 73.071 * * [simplify]: iters left: 3 (425 enodes) 73.366 * * [simplify]: Extracting #0: cost 1 inf + 0 73.366 * * [simplify]: Extracting #1: cost 86 inf + 0 73.367 * * [simplify]: Extracting #2: cost 345 inf + 0 73.369 * * [simplify]: Extracting #3: cost 354 inf + 1191 73.372 * * [simplify]: Extracting #4: cost 325 inf + 14687 73.383 * * [simplify]: Extracting #5: cost 211 inf + 71775 73.400 * * [simplify]: Extracting #6: cost 53 inf + 176712 73.421 * * [simplify]: Extracting #7: cost 0 inf + 213091 73.446 * * [simplify]: Extracting #8: cost 0 inf + 213011 73.469 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) 73.469 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k))) 73.470 * [simplify]: Simplifying (* (pow n (/ k 2)) (pow 2 (/ k 2))) 73.470 * * [simplify]: iters left: 5 (7 enodes) 73.474 * * [simplify]: iters left: 4 (27 enodes) 73.483 * * [simplify]: iters left: 3 (56 enodes) 73.497 * * [simplify]: iters left: 2 (144 enodes) 73.577 * * [simplify]: Extracting #0: cost 1 inf + 0 73.577 * * [simplify]: Extracting #1: cost 27 inf + 0 73.578 * * [simplify]: Extracting #2: cost 107 inf + 0 73.579 * * [simplify]: Extracting #3: cost 124 inf + 3 73.580 * * [simplify]: Extracting #4: cost 113 inf + 2147 73.583 * * [simplify]: Extracting #5: cost 72 inf + 15777 73.591 * * [simplify]: Extracting #6: cost 12 inf + 52284 73.596 * * [simplify]: Extracting #7: cost 0 inf + 59617 73.602 * [simplify]: Simplified to (* (pow n (/ k 2)) (pow 2 (/ k 2))) 73.602 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k))) 73.602 * * * * [progress]: [ 119 / 210 ] simplifiying candidate # 73.602 * * * * [progress]: [ 120 / 210 ] simplifiying candidate # 73.602 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 73.602 * * [simplify]: iters left: 5 (7 enodes) 73.605 * * [simplify]: iters left: 4 (32 enodes) 73.611 * * [simplify]: iters left: 3 (57 enodes) 73.622 * * [simplify]: iters left: 2 (88 enodes) 73.638 * * [simplify]: iters left: 1 (156 enodes) 73.694 * * [simplify]: Extracting #0: cost 1 inf + 0 73.694 * * [simplify]: Extracting #1: cost 13 inf + 0 73.694 * * [simplify]: Extracting #2: cost 49 inf + 2 73.694 * * [simplify]: Extracting #3: cost 80 inf + 6 73.695 * * [simplify]: Extracting #4: cost 58 inf + 1840 73.697 * * [simplify]: Extracting #5: cost 22 inf + 9206 73.700 * * [simplify]: Extracting #6: cost 1 inf + 20886 73.703 * * [simplify]: Extracting #7: cost 0 inf + 21301 73.706 * * [simplify]: Extracting #8: cost 0 inf + 21130 73.709 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 73.709 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (sqrt k))) 73.709 * * * * [progress]: [ 121 / 210 ] simplifiying candidate # 73.709 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 73.709 * * [simplify]: iters left: 5 (9 enodes) 73.712 * * [simplify]: iters left: 4 (38 enodes) 73.719 * * [simplify]: iters left: 3 (63 enodes) 73.731 * * [simplify]: iters left: 2 (98 enodes) 73.748 * * [simplify]: iters left: 1 (167 enodes) 73.809 * * [simplify]: Extracting #0: cost 1 inf + 0 73.809 * * [simplify]: Extracting #1: cost 13 inf + 0 73.810 * * [simplify]: Extracting #2: cost 54 inf + 1 73.810 * * [simplify]: Extracting #3: cost 87 inf + 5 73.810 * * [simplify]: Extracting #4: cost 68 inf + 1334 73.811 * * [simplify]: Extracting #5: cost 40 inf + 5047 73.814 * * [simplify]: Extracting #6: cost 11 inf + 17686 73.817 * * [simplify]: Extracting #7: cost 0 inf + 25802 73.820 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 73.821 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 73.821 * * * * [progress]: [ 122 / 210 ] simplifiying candidate # 73.821 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 73.821 * * [simplify]: iters left: 5 (8 enodes) 73.824 * * [simplify]: iters left: 4 (35 enodes) 73.830 * * [simplify]: iters left: 3 (56 enodes) 73.845 * * [simplify]: iters left: 2 (89 enodes) 73.885 * * [simplify]: iters left: 1 (175 enodes) 73.945 * * [simplify]: Extracting #0: cost 1 inf + 0 73.945 * * [simplify]: Extracting #1: cost 13 inf + 0 73.945 * * [simplify]: Extracting #2: cost 53 inf + 1 73.946 * * [simplify]: Extracting #3: cost 83 inf + 47 73.946 * * [simplify]: Extracting #4: cost 66 inf + 2084 73.948 * * [simplify]: Extracting #5: cost 25 inf + 7926 73.950 * * [simplify]: Extracting #6: cost 3 inf + 20905 73.953 * * [simplify]: Extracting #7: cost 0 inf + 22641 73.956 * * [simplify]: Extracting #8: cost 0 inf + 22420 73.960 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 73.960 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 73.960 * * * * [progress]: [ 123 / 210 ] simplifiying candidate # 73.960 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 73.960 * * [simplify]: iters left: 5 (6 enodes) 73.963 * * [simplify]: iters left: 4 (24 enodes) 73.972 * * [simplify]: iters left: 3 (33 enodes) 73.982 * * [simplify]: Extracting #0: cost 1 inf + 0 73.982 * * [simplify]: Extracting #1: cost 0 inf + 1 73.982 * [simplify]: Simplified to 1 73.982 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 73.982 * * * * [progress]: [ 124 / 210 ] simplifiying candidate # 73.982 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 73.983 * * [simplify]: iters left: 6 (9 enodes) 73.988 * * [simplify]: iters left: 5 (38 enodes) 74.006 * * [simplify]: iters left: 4 (63 enodes) 74.022 * * [simplify]: iters left: 3 (98 enodes) 74.040 * * [simplify]: iters left: 2 (167 enodes) 74.102 * * [simplify]: iters left: 1 (317 enodes) 74.226 * * [simplify]: Extracting #0: cost 1 inf + 0 74.226 * * [simplify]: Extracting #1: cost 3 inf + 0 74.226 * * [simplify]: Extracting #2: cost 5 inf + 0 74.226 * * [simplify]: Extracting #3: cost 30 inf + 0 74.227 * * [simplify]: Extracting #4: cost 100 inf + 2 74.227 * * [simplify]: Extracting #5: cost 139 inf + 8 74.228 * * [simplify]: Extracting #6: cost 127 inf + 1426 74.230 * * [simplify]: Extracting #7: cost 61 inf + 14370 74.237 * * [simplify]: Extracting #8: cost 3 inf + 52971 74.253 * * [simplify]: Extracting #9: cost 0 inf + 54607 74.268 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 74.268 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 74.269 * * * * [progress]: [ 125 / 210 ] simplifiying candidate # 74.269 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 74.269 * * [simplify]: iters left: 6 (8 enodes) 74.274 * * [simplify]: iters left: 5 (35 enodes) 74.287 * * [simplify]: iters left: 4 (57 enodes) 74.306 * * [simplify]: iters left: 3 (90 enodes) 74.333 * * [simplify]: iters left: 2 (176 enodes) 74.393 * * [simplify]: iters left: 1 (337 enodes) 74.492 * * [simplify]: Extracting #0: cost 1 inf + 0 74.492 * * [simplify]: Extracting #1: cost 4 inf + 0 74.492 * * [simplify]: Extracting #2: cost 32 inf + 0 74.492 * * [simplify]: Extracting #3: cost 112 inf + 2 74.493 * * [simplify]: Extracting #4: cost 140 inf + 9 74.493 * * [simplify]: Extracting #5: cost 140 inf + 138 74.495 * * [simplify]: Extracting #6: cost 89 inf + 7770 74.498 * * [simplify]: Extracting #7: cost 47 inf + 18849 74.505 * * [simplify]: Extracting #8: cost 7 inf + 47750 74.525 * * [simplify]: Extracting #9: cost 0 inf + 52260 74.540 * * [simplify]: Extracting #10: cost 0 inf + 52048 74.548 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 74.548 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (/ (- 1 k) 2))) (* (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 74.548 * * * * [progress]: [ 126 / 210 ] simplifiying candidate # 74.549 * * * * [progress]: [ 127 / 210 ] simplifiying candidate # 74.549 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 74.549 * * [simplify]: iters left: 6 (8 enodes) 74.552 * * [simplify]: iters left: 5 (38 enodes) 74.560 * * [simplify]: iters left: 4 (66 enodes) 74.580 * * [simplify]: iters left: 3 (110 enodes) 74.617 * * [simplify]: iters left: 2 (200 enodes) 74.699 * * [simplify]: iters left: 1 (403 enodes) 74.854 * * [simplify]: Extracting #0: cost 1 inf + 0 74.854 * * [simplify]: Extracting #1: cost 26 inf + 0 74.855 * * [simplify]: Extracting #2: cost 100 inf + 2 74.855 * * [simplify]: Extracting #3: cost 164 inf + 10 74.856 * * [simplify]: Extracting #4: cost 157 inf + 1472 74.861 * * [simplify]: Extracting #5: cost 64 inf + 19273 74.875 * * [simplify]: Extracting #6: cost 8 inf + 47461 74.883 * * [simplify]: Extracting #7: cost 0 inf + 52807 74.891 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 74.891 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/4 (/ k 4))) (* (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt k))) 74.892 * * * * [progress]: [ 128 / 210 ] simplifiying candidate # 74.892 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 74.892 * * [simplify]: iters left: 5 (7 enodes) 74.894 * * [simplify]: iters left: 4 (27 enodes) 74.899 * * [simplify]: iters left: 3 (56 enodes) 74.918 * * [simplify]: iters left: 2 (144 enodes) 74.994 * * [simplify]: Extracting #0: cost 1 inf + 0 74.994 * * [simplify]: Extracting #1: cost 27 inf + 0 74.994 * * [simplify]: Extracting #2: cost 107 inf + 0 74.994 * * [simplify]: Extracting #3: cost 124 inf + 3 74.995 * * [simplify]: Extracting #4: cost 114 inf + 2145 74.996 * * [simplify]: Extracting #5: cost 83 inf + 10231 75.001 * * [simplify]: Extracting #6: cost 29 inf + 39117 75.010 * * [simplify]: Extracting #7: cost 2 inf + 58279 75.021 * * [simplify]: Extracting #8: cost 0 inf + 59617 75.032 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 75.032 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 75.033 * * * * [progress]: [ 129 / 210 ] simplifiying candidate # 75.033 * [simplify]: Simplifying (pow PI (/ k 2)) 75.033 * * [simplify]: iters left: 3 (5 enodes) 75.040 * * [simplify]: iters left: 2 (18 enodes) 75.046 * * [simplify]: iters left: 1 (30 enodes) 75.056 * * [simplify]: Extracting #0: cost 1 inf + 0 75.056 * * [simplify]: Extracting #1: cost 10 inf + 0 75.056 * * [simplify]: Extracting #2: cost 23 inf + 1 75.056 * * [simplify]: Extracting #3: cost 23 inf + 46 75.057 * * [simplify]: Extracting #4: cost 11 inf + 1346 75.058 * * [simplify]: Extracting #5: cost 1 inf + 3938 75.058 * * [simplify]: Extracting #6: cost 0 inf + 4111 75.059 * * [simplify]: Extracting #7: cost 0 inf + 4070 75.060 * [simplify]: Simplified to (pow PI (/ k 2)) 75.060 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))) (sqrt k))) 75.060 * * * * [progress]: [ 130 / 210 ] simplifiying candidate # 75.061 * [simplify]: Simplifying (pow 2 (/ k 2)) 75.061 * * [simplify]: iters left: 3 (4 enodes) 75.063 * * [simplify]: iters left: 2 (15 enodes) 75.069 * * [simplify]: iters left: 1 (27 enodes) 75.078 * * [simplify]: Extracting #0: cost 1 inf + 0 75.078 * * [simplify]: Extracting #1: cost 10 inf + 0 75.078 * * [simplify]: Extracting #2: cost 22 inf + 1 75.078 * * [simplify]: Extracting #3: cost 23 inf + 45 75.079 * * [simplify]: Extracting #4: cost 9 inf + 1889 75.080 * * [simplify]: Extracting #5: cost 1 inf + 3931 75.080 * * [simplify]: Extracting #6: cost 0 inf + 4105 75.081 * * [simplify]: Extracting #7: cost 0 inf + 4065 75.082 * [simplify]: Simplified to (pow 2 (/ k 2)) 75.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))) (sqrt k))) 75.082 * * * * [progress]: [ 131 / 210 ] simplifiying candidate # 75.082 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 75.083 * * [simplify]: iters left: 6 (13 enodes) 75.087 * * [simplify]: iters left: 5 (59 enodes) 75.100 * * [simplify]: iters left: 4 (136 enodes) 75.141 * * [simplify]: iters left: 3 (395 enodes) 75.510 * * [simplify]: Extracting #0: cost 1 inf + 0 75.511 * * [simplify]: Extracting #1: cost 89 inf + 0 75.513 * * [simplify]: Extracting #2: cost 371 inf + 0 75.516 * * [simplify]: Extracting #3: cost 385 inf + 90 75.520 * * [simplify]: Extracting #4: cost 379 inf + 2464 75.529 * * [simplify]: Extracting #5: cost 244 inf + 82821 75.554 * * [simplify]: Extracting #6: cost 41 inf + 231059 75.605 * * [simplify]: Extracting #7: cost 0 inf + 263386 75.646 * * [simplify]: Extracting #8: cost 0 inf + 263176 75.691 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) 75.692 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (/ (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) (pow n (/ k 2))) (sqrt k))) 75.692 * * * * [progress]: [ 132 / 210 ] simplifiying candidate #real (real->posit16 (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (sqrt k)))> 75.692 * * * * [progress]: [ 133 / 210 ] simplifiying candidate # 75.692 * * * * [progress]: [ 134 / 210 ] simplifiying candidate # 75.692 * * * * [progress]: [ 135 / 210 ] simplifiying candidate # 75.692 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 75.692 * * [simplify]: iters left: 6 (18 enodes) 75.698 * * [simplify]: iters left: 5 (81 enodes) 75.715 * * [simplify]: iters left: 4 (164 enodes) 75.773 * * [simplify]: iters left: 3 (289 enodes) 75.872 * * [simplify]: Extracting #0: cost 1 inf + 0 75.872 * * [simplify]: Extracting #1: cost 21 inf + 0 75.872 * * [simplify]: Extracting #2: cost 95 inf + 0 75.873 * * [simplify]: Extracting #3: cost 139 inf + 73 75.874 * * [simplify]: Extracting #4: cost 122 inf + 3595 75.877 * * [simplify]: Extracting #5: cost 25 inf + 23561 75.883 * * [simplify]: Extracting #6: cost 3 inf + 30969 75.889 * * [simplify]: Extracting #7: cost 0 inf + 31982 75.895 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 75.895 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 75.896 * * * * [progress]: [ 136 / 210 ] simplifiying candidate # 75.896 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 75.896 * * [simplify]: iters left: 6 (18 enodes) 75.901 * * [simplify]: iters left: 5 (81 enodes) 75.924 * * [simplify]: iters left: 4 (164 enodes) 75.970 * * [simplify]: iters left: 3 (289 enodes) 76.071 * * [simplify]: Extracting #0: cost 1 inf + 0 76.071 * * [simplify]: Extracting #1: cost 21 inf + 0 76.072 * * [simplify]: Extracting #2: cost 95 inf + 0 76.073 * * [simplify]: Extracting #3: cost 139 inf + 73 76.074 * * [simplify]: Extracting #4: cost 122 inf + 3595 76.081 * * [simplify]: Extracting #5: cost 25 inf + 23561 76.089 * * [simplify]: Extracting #6: cost 3 inf + 30969 76.095 * * [simplify]: Extracting #7: cost 0 inf + 31982 76.102 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 76.102 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 76.102 * * * * [progress]: [ 137 / 210 ] simplifiying candidate # 76.102 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 76.102 * * [simplify]: iters left: 6 (18 enodes) 76.108 * * [simplify]: iters left: 5 (81 enodes) 76.122 * * [simplify]: iters left: 4 (165 enodes) 76.159 * * [simplify]: iters left: 3 (339 enodes) 76.263 * * [simplify]: Extracting #0: cost 1 inf + 0 76.263 * * [simplify]: Extracting #1: cost 35 inf + 0 76.264 * * [simplify]: Extracting #2: cost 144 inf + 0 76.265 * * [simplify]: Extracting #3: cost 199 inf + 74 76.269 * * [simplify]: Extracting #4: cost 171 inf + 12060 76.284 * * [simplify]: Extracting #5: cost 47 inf + 47394 76.305 * * [simplify]: Extracting #6: cost 8 inf + 59207 76.326 * * [simplify]: Extracting #7: cost 0 inf + 62825 76.349 * * [simplify]: Extracting #8: cost 0 inf + 62744 76.376 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))) 76.376 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))))) 76.376 * * * * [progress]: [ 138 / 210 ] simplifiying candidate # 76.376 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 76.377 * * [simplify]: iters left: 6 (18 enodes) 76.387 * * [simplify]: iters left: 5 (81 enodes) 76.414 * * [simplify]: iters left: 4 (164 enodes) 76.473 * * [simplify]: iters left: 3 (289 enodes) 76.587 * * [simplify]: Extracting #0: cost 1 inf + 0 76.588 * * [simplify]: Extracting #1: cost 21 inf + 0 76.588 * * [simplify]: Extracting #2: cost 95 inf + 0 76.589 * * [simplify]: Extracting #3: cost 139 inf + 73 76.591 * * [simplify]: Extracting #4: cost 122 inf + 3595 76.598 * * [simplify]: Extracting #5: cost 25 inf + 23561 76.609 * * [simplify]: Extracting #6: cost 3 inf + 30969 76.622 * * [simplify]: Extracting #7: cost 0 inf + 31982 76.638 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 76.638 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 76.638 * * * * [progress]: [ 139 / 210 ] simplifiying candidate # 76.639 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 76.639 * * [simplify]: iters left: 6 (18 enodes) 76.649 * * [simplify]: iters left: 5 (81 enodes) 76.677 * * [simplify]: iters left: 4 (164 enodes) 76.736 * * [simplify]: iters left: 3 (289 enodes) 76.829 * * [simplify]: Extracting #0: cost 1 inf + 0 76.829 * * [simplify]: Extracting #1: cost 21 inf + 0 76.829 * * [simplify]: Extracting #2: cost 95 inf + 0 76.829 * * [simplify]: Extracting #3: cost 139 inf + 73 76.830 * * [simplify]: Extracting #4: cost 122 inf + 3595 76.834 * * [simplify]: Extracting #5: cost 25 inf + 23561 76.840 * * [simplify]: Extracting #6: cost 3 inf + 30969 76.846 * * [simplify]: Extracting #7: cost 0 inf + 31982 76.852 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 76.852 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 76.852 * * * * [progress]: [ 140 / 210 ] simplifiying candidate # 76.853 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 76.853 * * [simplify]: iters left: 6 (18 enodes) 76.858 * * [simplify]: iters left: 5 (81 enodes) 76.876 * * [simplify]: iters left: 4 (165 enodes) 76.908 * * [simplify]: iters left: 3 (339 enodes) 76.992 * * [simplify]: Extracting #0: cost 1 inf + 0 76.993 * * [simplify]: Extracting #1: cost 35 inf + 0 76.993 * * [simplify]: Extracting #2: cost 144 inf + 0 76.994 * * [simplify]: Extracting #3: cost 199 inf + 74 76.996 * * [simplify]: Extracting #4: cost 171 inf + 12060 77.004 * * [simplify]: Extracting #5: cost 47 inf + 47394 77.019 * * [simplify]: Extracting #6: cost 8 inf + 59207 77.030 * * [simplify]: Extracting #7: cost 0 inf + 62825 77.048 * * [simplify]: Extracting #8: cost 0 inf + 62744 77.071 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))) 77.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))))) 77.071 * * * * [progress]: [ 141 / 210 ] simplifiying candidate # 77.071 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 77.071 * * [simplify]: iters left: 6 (18 enodes) 77.082 * * [simplify]: iters left: 5 (81 enodes) 77.110 * * [simplify]: iters left: 4 (165 enodes) 77.164 * * [simplify]: iters left: 3 (337 enodes) 77.270 * * [simplify]: Extracting #0: cost 1 inf + 0 77.270 * * [simplify]: Extracting #1: cost 34 inf + 0 77.270 * * [simplify]: Extracting #2: cost 141 inf + 0 77.271 * * [simplify]: Extracting #3: cost 197 inf + 3 77.272 * * [simplify]: Extracting #4: cost 178 inf + 8357 77.279 * * [simplify]: Extracting #5: cost 55 inf + 41959 77.289 * * [simplify]: Extracting #6: cost 2 inf + 60324 77.301 * * [simplify]: Extracting #7: cost 0 inf + 60214 77.314 * * [simplify]: Extracting #8: cost 0 inf + 60133 77.340 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 77.340 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 77.340 * * * * [progress]: [ 142 / 210 ] simplifiying candidate # 77.341 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 77.341 * * [simplify]: iters left: 6 (18 enodes) 77.351 * * [simplify]: iters left: 5 (81 enodes) 77.378 * * [simplify]: iters left: 4 (165 enodes) 77.440 * * [simplify]: iters left: 3 (337 enodes) 77.563 * * [simplify]: Extracting #0: cost 1 inf + 0 77.563 * * [simplify]: Extracting #1: cost 34 inf + 0 77.563 * * [simplify]: Extracting #2: cost 141 inf + 0 77.564 * * [simplify]: Extracting #3: cost 197 inf + 3 77.565 * * [simplify]: Extracting #4: cost 178 inf + 8357 77.582 * * [simplify]: Extracting #5: cost 55 inf + 41959 77.603 * * [simplify]: Extracting #6: cost 2 inf + 60324 77.626 * * [simplify]: Extracting #7: cost 0 inf + 60214 77.648 * * [simplify]: Extracting #8: cost 0 inf + 60133 77.668 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 77.668 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 77.668 * * * * [progress]: [ 143 / 210 ] simplifiying candidate # 77.669 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 77.669 * * [simplify]: iters left: 6 (18 enodes) 77.674 * * [simplify]: iters left: 5 (82 enodes) 77.689 * * [simplify]: iters left: 4 (171 enodes) 77.740 * * [simplify]: iters left: 3 (366 enodes) 77.902 * * [simplify]: Extracting #0: cost 1 inf + 0 77.903 * * [simplify]: Extracting #1: cost 51 inf + 0 77.904 * * [simplify]: Extracting #2: cost 192 inf + 0 77.905 * * [simplify]: Extracting #3: cost 258 inf + 185 77.909 * * [simplify]: Extracting #4: cost 235 inf + 7031 77.920 * * [simplify]: Extracting #5: cost 124 inf + 34021 77.950 * * [simplify]: Extracting #6: cost 24 inf + 81007 77.983 * * [simplify]: Extracting #7: cost 0 inf + 94400 78.016 * * [simplify]: Extracting #8: cost 0 inf + 94121 78.047 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 78.047 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 78.047 * * * * [progress]: [ 144 / 210 ] simplifiying candidate # 78.048 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 78.048 * * [simplify]: iters left: 6 (17 enodes) 78.058 * * [simplify]: iters left: 5 (76 enodes) 78.084 * * [simplify]: iters left: 4 (157 enodes) 78.144 * * [simplify]: iters left: 3 (365 enodes) 78.338 * * [simplify]: Extracting #0: cost 1 inf + 0 78.338 * * [simplify]: Extracting #1: cost 42 inf + 0 78.339 * * [simplify]: Extracting #2: cost 175 inf + 0 78.341 * * [simplify]: Extracting #3: cost 255 inf + 74 78.345 * * [simplify]: Extracting #4: cost 281 inf + 10793 78.359 * * [simplify]: Extracting #5: cost 152 inf + 49404 78.390 * * [simplify]: Extracting #6: cost 43 inf + 106884 78.417 * * [simplify]: Extracting #7: cost 0 inf + 135566 78.444 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log PI) (+ (log n) (log 2)))) (log (sqrt k))) 78.444 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log PI) (+ (log n) (log 2)))) (log (sqrt k))))) 78.444 * * * * [progress]: [ 145 / 210 ] simplifiying candidate # 78.444 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 78.444 * * [simplify]: iters left: 6 (18 enodes) 78.455 * * [simplify]: iters left: 5 (81 enodes) 78.475 * * [simplify]: iters left: 4 (164 enodes) 78.506 * * [simplify]: iters left: 3 (289 enodes) 78.614 * * [simplify]: Extracting #0: cost 1 inf + 0 78.614 * * [simplify]: Extracting #1: cost 21 inf + 0 78.615 * * [simplify]: Extracting #2: cost 95 inf + 0 78.616 * * [simplify]: Extracting #3: cost 139 inf + 73 78.617 * * [simplify]: Extracting #4: cost 122 inf + 3595 78.624 * * [simplify]: Extracting #5: cost 25 inf + 23561 78.636 * * [simplify]: Extracting #6: cost 3 inf + 30969 78.649 * * [simplify]: Extracting #7: cost 0 inf + 31982 78.661 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 78.661 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 78.661 * * * * [progress]: [ 146 / 210 ] simplifiying candidate # 78.662 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 78.662 * * [simplify]: iters left: 6 (18 enodes) 78.672 * * [simplify]: iters left: 5 (81 enodes) 78.689 * * [simplify]: iters left: 4 (164 enodes) 78.736 * * [simplify]: iters left: 3 (289 enodes) 78.822 * * [simplify]: Extracting #0: cost 1 inf + 0 78.822 * * [simplify]: Extracting #1: cost 21 inf + 0 78.823 * * [simplify]: Extracting #2: cost 95 inf + 0 78.824 * * [simplify]: Extracting #3: cost 139 inf + 73 78.826 * * [simplify]: Extracting #4: cost 122 inf + 3595 78.833 * * [simplify]: Extracting #5: cost 25 inf + 23561 78.844 * * [simplify]: Extracting #6: cost 3 inf + 30969 78.857 * * [simplify]: Extracting #7: cost 0 inf + 31982 78.864 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 78.864 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 78.864 * * * * [progress]: [ 147 / 210 ] simplifiying candidate # 78.864 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 78.864 * * [simplify]: iters left: 6 (18 enodes) 78.870 * * [simplify]: iters left: 5 (81 enodes) 78.889 * * [simplify]: iters left: 4 (165 enodes) 78.921 * * [simplify]: iters left: 3 (339 enodes) 79.040 * * [simplify]: Extracting #0: cost 1 inf + 0 79.040 * * [simplify]: Extracting #1: cost 35 inf + 0 79.041 * * [simplify]: Extracting #2: cost 144 inf + 0 79.043 * * [simplify]: Extracting #3: cost 199 inf + 74 79.046 * * [simplify]: Extracting #4: cost 171 inf + 12060 79.058 * * [simplify]: Extracting #5: cost 47 inf + 47394 79.068 * * [simplify]: Extracting #6: cost 8 inf + 59207 79.083 * * [simplify]: Extracting #7: cost 0 inf + 62825 79.103 * * [simplify]: Extracting #8: cost 0 inf + 62744 79.125 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))) 79.125 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))))) 79.125 * * * * [progress]: [ 148 / 210 ] simplifiying candidate # 79.126 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 79.126 * * [simplify]: iters left: 6 (18 enodes) 79.136 * * [simplify]: iters left: 5 (81 enodes) 79.152 * * [simplify]: iters left: 4 (164 enodes) 79.185 * * [simplify]: iters left: 3 (289 enodes) 79.243 * * [simplify]: Extracting #0: cost 1 inf + 0 79.243 * * [simplify]: Extracting #1: cost 21 inf + 0 79.244 * * [simplify]: Extracting #2: cost 95 inf + 0 79.245 * * [simplify]: Extracting #3: cost 139 inf + 73 79.246 * * [simplify]: Extracting #4: cost 122 inf + 3595 79.257 * * [simplify]: Extracting #5: cost 25 inf + 23561 79.269 * * [simplify]: Extracting #6: cost 3 inf + 30969 79.281 * * [simplify]: Extracting #7: cost 0 inf + 31982 79.292 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 79.292 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 79.292 * * * * [progress]: [ 149 / 210 ] simplifiying candidate # 79.292 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 79.292 * * [simplify]: iters left: 6 (18 enodes) 79.298 * * [simplify]: iters left: 5 (81 enodes) 79.312 * * [simplify]: iters left: 4 (164 enodes) 79.365 * * [simplify]: iters left: 3 (289 enodes) 79.479 * * [simplify]: Extracting #0: cost 1 inf + 0 79.480 * * [simplify]: Extracting #1: cost 21 inf + 0 79.480 * * [simplify]: Extracting #2: cost 95 inf + 0 79.481 * * [simplify]: Extracting #3: cost 139 inf + 73 79.483 * * [simplify]: Extracting #4: cost 122 inf + 3595 79.489 * * [simplify]: Extracting #5: cost 25 inf + 23561 79.500 * * [simplify]: Extracting #6: cost 3 inf + 30969 79.517 * * [simplify]: Extracting #7: cost 0 inf + 31982 79.529 * [simplify]: Simplified to (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))) 79.529 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (- 1 k) (/ 2 (+ (+ (log PI) (log n)) (log 2)))) (log (sqrt k))))) 79.529 * * * * [progress]: [ 150 / 210 ] simplifiying candidate # 79.529 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 79.530 * * [simplify]: iters left: 6 (18 enodes) 79.539 * * [simplify]: iters left: 5 (81 enodes) 79.567 * * [simplify]: iters left: 4 (165 enodes) 79.627 * * [simplify]: iters left: 3 (339 enodes) 79.749 * * [simplify]: Extracting #0: cost 1 inf + 0 79.749 * * [simplify]: Extracting #1: cost 35 inf + 0 79.750 * * [simplify]: Extracting #2: cost 144 inf + 0 79.751 * * [simplify]: Extracting #3: cost 199 inf + 74 79.754 * * [simplify]: Extracting #4: cost 171 inf + 12060 79.769 * * [simplify]: Extracting #5: cost 47 inf + 47394 79.790 * * [simplify]: Extracting #6: cost 8 inf + 59207 79.812 * * [simplify]: Extracting #7: cost 0 inf + 62825 79.835 * * [simplify]: Extracting #8: cost 0 inf + 62744 79.848 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))) 79.848 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (+ (log n) (log 2)) (log PI))) 2) (log (sqrt k))))) 79.848 * * * * [progress]: [ 151 / 210 ] simplifiying candidate # 79.848 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 79.849 * * [simplify]: iters left: 6 (18 enodes) 79.854 * * [simplify]: iters left: 5 (81 enodes) 79.872 * * [simplify]: iters left: 4 (165 enodes) 79.930 * * [simplify]: iters left: 3 (337 enodes) 80.028 * * [simplify]: Extracting #0: cost 1 inf + 0 80.029 * * [simplify]: Extracting #1: cost 34 inf + 0 80.029 * * [simplify]: Extracting #2: cost 141 inf + 0 80.030 * * [simplify]: Extracting #3: cost 197 inf + 3 80.031 * * [simplify]: Extracting #4: cost 178 inf + 8357 80.037 * * [simplify]: Extracting #5: cost 55 inf + 41959 80.049 * * [simplify]: Extracting #6: cost 2 inf + 60324 80.077 * * [simplify]: Extracting #7: cost 0 inf + 60214 80.089 * * [simplify]: Extracting #8: cost 0 inf + 60133 80.100 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 80.101 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 80.101 * * * * [progress]: [ 152 / 210 ] simplifiying candidate # 80.101 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 80.101 * * [simplify]: iters left: 6 (18 enodes) 80.112 * * [simplify]: iters left: 5 (81 enodes) 80.140 * * [simplify]: iters left: 4 (165 enodes) 80.186 * * [simplify]: iters left: 3 (337 enodes) 80.290 * * [simplify]: Extracting #0: cost 1 inf + 0 80.291 * * [simplify]: Extracting #1: cost 34 inf + 0 80.291 * * [simplify]: Extracting #2: cost 141 inf + 0 80.292 * * [simplify]: Extracting #3: cost 197 inf + 3 80.293 * * [simplify]: Extracting #4: cost 178 inf + 8357 80.299 * * [simplify]: Extracting #5: cost 55 inf + 41959 80.310 * * [simplify]: Extracting #6: cost 2 inf + 60324 80.321 * * [simplify]: Extracting #7: cost 0 inf + 60214 80.332 * * [simplify]: Extracting #8: cost 0 inf + 60133 80.343 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 80.343 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 80.343 * * * * [progress]: [ 153 / 210 ] simplifiying candidate # 80.344 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 80.344 * * [simplify]: iters left: 6 (18 enodes) 80.349 * * [simplify]: iters left: 5 (82 enodes) 80.368 * * [simplify]: iters left: 4 (171 enodes) 80.407 * * [simplify]: iters left: 3 (366 enodes) 80.507 * * [simplify]: Extracting #0: cost 1 inf + 0 80.508 * * [simplify]: Extracting #1: cost 51 inf + 0 80.508 * * [simplify]: Extracting #2: cost 192 inf + 0 80.509 * * [simplify]: Extracting #3: cost 258 inf + 185 80.514 * * [simplify]: Extracting #4: cost 235 inf + 7031 80.520 * * [simplify]: Extracting #5: cost 124 inf + 34021 80.533 * * [simplify]: Extracting #6: cost 24 inf + 81007 80.549 * * [simplify]: Extracting #7: cost 0 inf + 94400 80.565 * * [simplify]: Extracting #8: cost 0 inf + 94121 80.592 * [simplify]: Simplified to (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))) 80.592 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (/ (* (- 1 k) (+ (log n) (+ (log PI) (log 2)))) 2) (log (sqrt k))))) 80.593 * * * * [progress]: [ 154 / 210 ] simplifiying candidate # 80.593 * [simplify]: Simplifying (- (+ (* (log n) (/ (- 1 k) 2)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 80.593 * * [simplify]: iters left: 6 (17 enodes) 80.602 * * [simplify]: iters left: 5 (76 enodes) 80.624 * * [simplify]: iters left: 4 (157 enodes) 80.664 * * [simplify]: iters left: 3 (365 enodes) 80.827 * * [simplify]: Extracting #0: cost 1 inf + 0 80.827 * * [simplify]: Extracting #1: cost 42 inf + 0 80.828 * * [simplify]: Extracting #2: cost 175 inf + 0 80.829 * * [simplify]: Extracting #3: cost 255 inf + 74 80.833 * * [simplify]: Extracting #4: cost 281 inf + 10793 80.846 * * [simplify]: Extracting #5: cost 152 inf + 49404 80.876 * * [simplify]: Extracting #6: cost 43 inf + 106884 80.918 * * [simplify]: Extracting #7: cost 0 inf + 135566 80.945 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log PI) (+ (log n) (log 2)))) (log (sqrt k))) 80.945 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log PI) (+ (log n) (log 2)))) (log (sqrt k))))) 80.945 * * * * [progress]: [ 155 / 210 ] simplifiying candidate # 80.946 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 80.946 * * [simplify]: iters left: 6 (18 enodes) 80.951 * * [simplify]: iters left: 5 (83 enodes) 80.967 * * [simplify]: iters left: 4 (174 enodes) 81.013 * * [simplify]: iters left: 3 (355 enodes) 81.142 * * [simplify]: Extracting #0: cost 1 inf + 0 81.142 * * [simplify]: Extracting #1: cost 31 inf + 0 81.143 * * [simplify]: Extracting #2: cost 144 inf + 0 81.144 * * [simplify]: Extracting #3: cost 216 inf + 74 81.147 * * [simplify]: Extracting #4: cost 193 inf + 7138 81.160 * * [simplify]: Extracting #5: cost 59 inf + 40744 81.182 * * [simplify]: Extracting #6: cost 2 inf + 61243 81.199 * * [simplify]: Extracting #7: cost 0 inf + 62161 81.211 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 81.211 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 81.211 * * * * [progress]: [ 156 / 210 ] simplifiying candidate # 81.211 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 81.211 * * [simplify]: iters left: 6 (18 enodes) 81.216 * * [simplify]: iters left: 5 (83 enodes) 81.242 * * [simplify]: iters left: 4 (174 enodes) 81.279 * * [simplify]: iters left: 3 (355 enodes) 81.393 * * [simplify]: Extracting #0: cost 1 inf + 0 81.393 * * [simplify]: Extracting #1: cost 31 inf + 0 81.394 * * [simplify]: Extracting #2: cost 144 inf + 0 81.394 * * [simplify]: Extracting #3: cost 216 inf + 74 81.396 * * [simplify]: Extracting #4: cost 193 inf + 7138 81.402 * * [simplify]: Extracting #5: cost 59 inf + 40744 81.424 * * [simplify]: Extracting #6: cost 2 inf + 61243 81.435 * * [simplify]: Extracting #7: cost 0 inf + 62161 81.446 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 81.446 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 81.446 * * * * [progress]: [ 157 / 210 ] simplifiying candidate # 81.446 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 81.447 * * [simplify]: iters left: 6 (18 enodes) 81.457 * * [simplify]: iters left: 5 (82 enodes) 81.475 * * [simplify]: iters left: 4 (171 enodes) 81.522 * * [simplify]: iters left: 3 (370 enodes) 81.643 * * [simplify]: Extracting #0: cost 1 inf + 0 81.644 * * [simplify]: Extracting #1: cost 49 inf + 0 81.645 * * [simplify]: Extracting #2: cost 196 inf + 0 81.646 * * [simplify]: Extracting #3: cost 265 inf + 185 81.650 * * [simplify]: Extracting #4: cost 241 inf + 8031 81.668 * * [simplify]: Extracting #5: cost 78 inf + 70553 81.699 * * [simplify]: Extracting #6: cost 3 inf + 96157 81.726 * * [simplify]: Extracting #7: cost 0 inf + 94139 81.742 * * [simplify]: Extracting #8: cost 0 inf + 93979 81.771 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 81.771 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 81.772 * * * * [progress]: [ 158 / 210 ] simplifiying candidate # 81.772 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 81.772 * * [simplify]: iters left: 6 (18 enodes) 81.783 * * [simplify]: iters left: 5 (83 enodes) 81.812 * * [simplify]: iters left: 4 (174 enodes) 81.852 * * [simplify]: iters left: 3 (355 enodes) 82.014 * * [simplify]: Extracting #0: cost 1 inf + 0 82.014 * * [simplify]: Extracting #1: cost 31 inf + 0 82.015 * * [simplify]: Extracting #2: cost 144 inf + 0 82.017 * * [simplify]: Extracting #3: cost 216 inf + 74 82.019 * * [simplify]: Extracting #4: cost 193 inf + 7138 82.026 * * [simplify]: Extracting #5: cost 59 inf + 40744 82.036 * * [simplify]: Extracting #6: cost 2 inf + 61243 82.052 * * [simplify]: Extracting #7: cost 0 inf + 62161 82.072 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 82.073 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 82.073 * * * * [progress]: [ 159 / 210 ] simplifiying candidate # 82.073 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 82.073 * * [simplify]: iters left: 6 (18 enodes) 82.083 * * [simplify]: iters left: 5 (83 enodes) 82.103 * * [simplify]: iters left: 4 (174 enodes) 82.154 * * [simplify]: iters left: 3 (355 enodes) 82.245 * * [simplify]: Extracting #0: cost 1 inf + 0 82.245 * * [simplify]: Extracting #1: cost 31 inf + 0 82.245 * * [simplify]: Extracting #2: cost 144 inf + 0 82.246 * * [simplify]: Extracting #3: cost 216 inf + 74 82.247 * * [simplify]: Extracting #4: cost 193 inf + 7138 82.254 * * [simplify]: Extracting #5: cost 59 inf + 40744 82.272 * * [simplify]: Extracting #6: cost 2 inf + 61243 82.289 * * [simplify]: Extracting #7: cost 0 inf + 62161 82.300 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 82.300 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 82.300 * * * * [progress]: [ 160 / 210 ] simplifiying candidate # 82.301 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 82.301 * * [simplify]: iters left: 6 (18 enodes) 82.306 * * [simplify]: iters left: 5 (82 enodes) 82.325 * * [simplify]: iters left: 4 (171 enodes) 82.361 * * [simplify]: iters left: 3 (370 enodes) 82.513 * * [simplify]: Extracting #0: cost 1 inf + 0 82.514 * * [simplify]: Extracting #1: cost 49 inf + 0 82.515 * * [simplify]: Extracting #2: cost 196 inf + 0 82.516 * * [simplify]: Extracting #3: cost 265 inf + 185 82.519 * * [simplify]: Extracting #4: cost 241 inf + 8031 82.541 * * [simplify]: Extracting #5: cost 78 inf + 70553 82.565 * * [simplify]: Extracting #6: cost 3 inf + 96157 82.584 * * [simplify]: Extracting #7: cost 0 inf + 94139 82.612 * * [simplify]: Extracting #8: cost 0 inf + 93979 82.629 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 82.629 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 82.629 * * * * [progress]: [ 161 / 210 ] simplifiying candidate # 82.629 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 82.629 * * [simplify]: iters left: 6 (18 enodes) 82.637 * * [simplify]: iters left: 5 (82 enodes) 82.665 * * [simplify]: iters left: 4 (171 enodes) 82.723 * * [simplify]: iters left: 3 (368 enodes) 82.866 * * [simplify]: Extracting #0: cost 1 inf + 0 82.866 * * [simplify]: Extracting #1: cost 47 inf + 0 82.868 * * [simplify]: Extracting #2: cost 192 inf + 0 82.869 * * [simplify]: Extracting #3: cost 261 inf + 185 82.873 * * [simplify]: Extracting #4: cost 233 inf + 7919 82.887 * * [simplify]: Extracting #5: cost 66 inf + 62902 82.903 * * [simplify]: Extracting #6: cost 2 inf + 90752 82.929 * * [simplify]: Extracting #7: cost 0 inf + 90209 82.946 * * [simplify]: Extracting #8: cost 0 inf + 90129 82.970 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 82.970 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 82.970 * * * * [progress]: [ 162 / 210 ] simplifiying candidate # 82.970 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) (log (sqrt k))) 82.971 * * [simplify]: iters left: 6 (18 enodes) 82.981 * * [simplify]: iters left: 5 (82 enodes) 83.010 * * [simplify]: iters left: 4 (171 enodes) 83.076 * * [simplify]: iters left: 3 (368 enodes) 83.219 * * [simplify]: Extracting #0: cost 1 inf + 0 83.219 * * [simplify]: Extracting #1: cost 47 inf + 0 83.219 * * [simplify]: Extracting #2: cost 192 inf + 0 83.220 * * [simplify]: Extracting #3: cost 261 inf + 185 83.222 * * [simplify]: Extracting #4: cost 233 inf + 7919 83.232 * * [simplify]: Extracting #5: cost 66 inf + 62902 83.264 * * [simplify]: Extracting #6: cost 2 inf + 90752 83.285 * * [simplify]: Extracting #7: cost 0 inf + 90209 83.301 * * [simplify]: Extracting #8: cost 0 inf + 90129 83.333 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))) 83.333 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log n) (+ (log 2) (log PI)))) (log (sqrt k))))) 83.333 * * * * [progress]: [ 163 / 210 ] simplifiying candidate # 83.334 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 83.334 * * [simplify]: iters left: 6 (18 enodes) 83.339 * * [simplify]: iters left: 5 (83 enodes) 83.354 * * [simplify]: iters left: 4 (172 enodes) 83.415 * * [simplify]: iters left: 3 (394 enodes) 83.943 * * [simplify]: Extracting #0: cost 1 inf + 0 83.943 * * [simplify]: Extracting #1: cost 63 inf + 0 83.944 * * [simplify]: Extracting #2: cost 245 inf + 0 83.945 * * [simplify]: Extracting #3: cost 327 inf + 73 83.947 * * [simplify]: Extracting #4: cost 296 inf + 11623 83.963 * * [simplify]: Extracting #5: cost 82 inf + 103311 83.995 * * [simplify]: Extracting #6: cost 5 inf + 123367 84.023 * * [simplify]: Extracting #7: cost 0 inf + 122866 84.044 * * [simplify]: Extracting #8: cost 0 inf + 122666 84.070 * [simplify]: Simplified to (- (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))) 84.071 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (+ (+ (log PI) (log 2)) (log n)) (/ (- 1 k) 2)) (log (sqrt k))))) 84.071 * * * * [progress]: [ 164 / 210 ] simplifiying candidate # 84.071 * [simplify]: Simplifying (- (+ (log (pow n (/ (- 1 k) 2))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 84.071 * * [simplify]: iters left: 6 (17 enodes) 84.076 * * [simplify]: iters left: 5 (77 enodes) 84.099 * * [simplify]: iters left: 4 (162 enodes) 84.143 * * [simplify]: iters left: 3 (387 enodes) 84.302 * * [simplify]: Extracting #0: cost 1 inf + 0 84.302 * * [simplify]: Extracting #1: cost 50 inf + 0 84.304 * * [simplify]: Extracting #2: cost 212 inf + 0 84.306 * * [simplify]: Extracting #3: cost 310 inf + 73 84.311 * * [simplify]: Extracting #4: cost 326 inf + 13401 84.324 * * [simplify]: Extracting #5: cost 169 inf + 72377 84.345 * * [simplify]: Extracting #6: cost 6 inf + 158356 84.373 * * [simplify]: Extracting #7: cost 0 inf + 161181 84.407 * * [simplify]: Extracting #8: cost 0 inf + 160902 84.433 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))) 84.433 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log n)) (log 2))) (log (sqrt k))))) 84.433 * * * * [progress]: [ 165 / 210 ] simplifiying candidate # 84.434 * [simplify]: Simplifying (- (log (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (sqrt k))) 84.434 * * [simplify]: iters left: 6 (16 enodes) 84.441 * * [simplify]: iters left: 5 (72 enodes) 84.456 * * [simplify]: iters left: 4 (157 enodes) 84.506 * * [simplify]: iters left: 3 (484 enodes) 84.915 * * [simplify]: Extracting #0: cost 1 inf + 0 84.915 * * [simplify]: Extracting #1: cost 52 inf + 0 84.916 * * [simplify]: Extracting #2: cost 202 inf + 0 84.919 * * [simplify]: Extracting #3: cost 387 inf + 73 84.927 * * [simplify]: Extracting #4: cost 526 inf + 28278 84.967 * * [simplify]: Extracting #5: cost 247 inf + 206618 85.041 * * [simplify]: Extracting #6: cost 17 inf + 374009 85.113 * * [simplify]: Extracting #7: cost 0 inf + 383820 85.183 * * [simplify]: Extracting #8: cost 0 inf + 383579 85.266 * [simplify]: Simplified to (+ (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log n)))) 85.266 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))) (* (/ (- 1 k) 2) (+ (log 2) (log n)))))) 85.266 * * * * [progress]: [ 166 / 210 ] simplifiying candidate # 85.266 * * * * [progress]: [ 167 / 210 ] simplifiying candidate # 85.266 * * * * [progress]: [ 168 / 210 ] simplifiying candidate # 85.266 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 85.267 * * [simplify]: iters left: 6 (22 enodes) 85.280 * * [simplify]: iters left: 5 (104 enodes) 85.325 * * [simplify]: iters left: 4 (349 enodes) 85.624 * * [simplify]: Extracting #0: cost 1 inf + 0 85.624 * * [simplify]: Extracting #1: cost 211 inf + 0 85.626 * * [simplify]: Extracting #2: cost 626 inf + 123 85.629 * * [simplify]: Extracting #3: cost 752 inf + 249 85.634 * * [simplify]: Extracting #4: cost 723 inf + 13428 85.671 * * [simplify]: Extracting #5: cost 443 inf + 210996 85.746 * * [simplify]: Extracting #6: cost 45 inf + 522903 85.824 * * [simplify]: Extracting #7: cost 0 inf + 562419 85.938 * [simplify]: Simplified to (/ (/ (pow n (/ (- 1 k) 2)) (/ (/ k (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 85.939 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow n (/ (- 1 k) 2)) (/ (/ k (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))) 85.939 * * * * [progress]: [ 169 / 210 ] simplifiying candidate # 85.939 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 85.940 * * [simplify]: iters left: 6 (20 enodes) 85.953 * * [simplify]: iters left: 5 (100 enodes) 85.997 * * [simplify]: iters left: 4 (351 enodes) 86.304 * * [simplify]: Extracting #0: cost 1 inf + 0 86.304 * * [simplify]: Extracting #1: cost 178 inf + 0 86.308 * * [simplify]: Extracting #2: cost 629 inf + 1 86.314 * * [simplify]: Extracting #3: cost 761 inf + 127 86.321 * * [simplify]: Extracting #4: cost 741 inf + 5707 86.350 * * [simplify]: Extracting #5: cost 426 inf + 235710 86.457 * * [simplify]: Extracting #6: cost 27 inf + 576151 86.569 * * [simplify]: Extracting #7: cost 0 inf + 591547 86.726 * * [simplify]: Extracting #8: cost 0 inf + 590949 86.837 * * [simplify]: Extracting #9: cost 0 inf + 590909 86.970 * [simplify]: Simplified to (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) (* k (sqrt k))) 86.970 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) (* k (sqrt k))))) 86.971 * * * * [progress]: [ 170 / 210 ] simplifiying candidate # 86.971 * [simplify]: Simplifying (/ (* (* (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 86.971 * * [simplify]: iters left: 6 (18 enodes) 86.977 * * [simplify]: iters left: 5 (89 enodes) 86.998 * * [simplify]: iters left: 4 (324 enodes) 87.413 * * [simplify]: Extracting #0: cost 1 inf + 0 87.414 * * [simplify]: Extracting #1: cost 252 inf + 0 87.417 * * [simplify]: Extracting #2: cost 859 inf + 123 87.421 * * [simplify]: Extracting #3: cost 1005 inf + 249 87.427 * * [simplify]: Extracting #4: cost 1006 inf + 337 87.436 * * [simplify]: Extracting #5: cost 988 inf + 4427 87.487 * * [simplify]: Extracting #6: cost 617 inf + 275952 87.631 * * [simplify]: Extracting #7: cost 22 inf + 809547 87.819 * * [simplify]: Extracting #8: cost 0 inf + 827341 88.006 * [simplify]: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))) 88.006 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (/ k (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))))) 88.006 * * * * [progress]: [ 171 / 210 ] simplifiying candidate # 88.006 * * * * [progress]: [ 172 / 210 ] simplifiying candidate # 88.007 * * * * [progress]: [ 173 / 210 ] simplifiying candidate # 88.007 * * * * [progress]: [ 174 / 210 ] simplifiying candidate # 88.007 * * * * [progress]: [ 175 / 210 ] simplifiying candidate # 88.007 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 88.007 * * [simplify]: iters left: 6 (11 enodes) 88.014 * * [simplify]: iters left: 5 (46 enodes) 88.032 * * [simplify]: iters left: 4 (79 enodes) 88.049 * * [simplify]: iters left: 3 (135 enodes) 88.089 * * [simplify]: iters left: 2 (270 enodes) 88.184 * * [simplify]: Extracting #0: cost 1 inf + 0 88.184 * * [simplify]: Extracting #1: cost 56 inf + 0 88.185 * * [simplify]: Extracting #2: cost 151 inf + 0 88.185 * * [simplify]: Extracting #3: cost 211 inf + 3 88.187 * * [simplify]: Extracting #4: cost 182 inf + 8248 88.192 * * [simplify]: Extracting #5: cost 108 inf + 32321 88.201 * * [simplify]: Extracting #6: cost 40 inf + 73343 88.214 * * [simplify]: Extracting #7: cost 0 inf + 103841 88.228 * * [simplify]: Extracting #8: cost 0 inf + 103639 88.244 * * [simplify]: Extracting #9: cost 0 inf + 103517 88.265 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 88.265 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))) 88.265 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))) 88.265 * * [simplify]: iters left: 6 (12 enodes) 88.273 * * [simplify]: iters left: 5 (52 enodes) 88.290 * * [simplify]: iters left: 4 (100 enodes) 88.326 * * [simplify]: iters left: 3 (230 enodes) 88.426 * * [simplify]: Extracting #0: cost 1 inf + 0 88.429 * * [simplify]: Extracting #1: cost 65 inf + 0 88.429 * * [simplify]: Extracting #2: cost 183 inf + 0 88.430 * * [simplify]: Extracting #3: cost 214 inf + 3 88.432 * * [simplify]: Extracting #4: cost 190 inf + 5053 88.438 * * [simplify]: Extracting #5: cost 85 inf + 62477 88.459 * * [simplify]: Extracting #6: cost 1 inf + 124663 88.473 * * [simplify]: Extracting #7: cost 0 inf + 124209 88.491 * * [simplify]: Extracting #8: cost 0 inf + 124208 88.514 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k))) 88.514 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (cbrt (sqrt k))))) 88.514 * * * * [progress]: [ 176 / 210 ] simplifiying candidate # 88.514 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) 88.514 * * [simplify]: iters left: 6 (11 enodes) 88.518 * * [simplify]: iters left: 5 (45 enodes) 88.526 * * [simplify]: iters left: 4 (72 enodes) 88.540 * * [simplify]: iters left: 3 (113 enodes) 88.578 * * [simplify]: iters left: 2 (202 enodes) 88.658 * * [simplify]: iters left: 1 (423 enodes) 88.831 * * [simplify]: Extracting #0: cost 1 inf + 0 88.831 * * [simplify]: Extracting #1: cost 45 inf + 0 88.832 * * [simplify]: Extracting #2: cost 135 inf + 0 88.838 * * [simplify]: Extracting #3: cost 200 inf + 4 88.841 * * [simplify]: Extracting #4: cost 178 inf + 4405 88.851 * * [simplify]: Extracting #5: cost 89 inf + 41805 88.875 * * [simplify]: Extracting #6: cost 6 inf + 96015 88.906 * * [simplify]: Extracting #7: cost 0 inf + 93673 88.943 * * [simplify]: Extracting #8: cost 0 inf + 88687 88.979 * * [simplify]: Extracting #9: cost 0 inf + 87603 88.998 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) 88.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k))))) 88.999 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k))) 88.999 * * [simplify]: iters left: 6 (12 enodes) 89.003 * * [simplify]: iters left: 5 (52 enodes) 89.024 * * [simplify]: iters left: 4 (100 enodes) 89.045 * * [simplify]: iters left: 3 (230 enodes) 89.144 * * [simplify]: Extracting #0: cost 1 inf + 0 89.144 * * [simplify]: Extracting #1: cost 65 inf + 0 89.145 * * [simplify]: Extracting #2: cost 183 inf + 0 89.145 * * [simplify]: Extracting #3: cost 214 inf + 3 89.147 * * [simplify]: Extracting #4: cost 190 inf + 5093 89.153 * * [simplify]: Extracting #5: cost 85 inf + 62557 89.167 * * [simplify]: Extracting #6: cost 1 inf + 124743 89.189 * * [simplify]: Extracting #7: cost 0 inf + 124289 89.207 * * [simplify]: Extracting #8: cost 0 inf + 124288 89.221 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (cbrt k))) 89.221 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (cbrt k))))) 89.221 * * * * [progress]: [ 177 / 210 ] simplifiying candidate # 89.221 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.221 * * [simplify]: iters left: 6 (10 enodes) 89.225 * * [simplify]: iters left: 5 (41 enodes) 89.233 * * [simplify]: iters left: 4 (68 enodes) 89.255 * * [simplify]: iters left: 3 (109 enodes) 89.290 * * [simplify]: iters left: 2 (194 enodes) 89.345 * * [simplify]: iters left: 1 (414 enodes) 89.524 * * [simplify]: Extracting #0: cost 1 inf + 0 89.525 * * [simplify]: Extracting #1: cost 45 inf + 0 89.525 * * [simplify]: Extracting #2: cost 141 inf + 0 89.527 * * [simplify]: Extracting #3: cost 206 inf + 4 89.530 * * [simplify]: Extracting #4: cost 178 inf + 9345 89.540 * * [simplify]: Extracting #5: cost 101 inf + 32669 89.553 * * [simplify]: Extracting #6: cost 15 inf + 90305 89.577 * * [simplify]: Extracting #7: cost 0 inf + 100314 89.606 * * [simplify]: Extracting #8: cost 0 inf + 100143 89.621 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 89.621 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))) 89.622 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) 89.622 * * [simplify]: iters left: 6 (12 enodes) 89.625 * * [simplify]: iters left: 5 (52 enodes) 89.639 * * [simplify]: iters left: 4 (100 enodes) 89.663 * * [simplify]: iters left: 3 (230 enodes) 89.782 * * [simplify]: Extracting #0: cost 1 inf + 0 89.783 * * [simplify]: Extracting #1: cost 65 inf + 0 89.784 * * [simplify]: Extracting #2: cost 183 inf + 0 89.785 * * [simplify]: Extracting #3: cost 214 inf + 3 89.788 * * [simplify]: Extracting #4: cost 190 inf + 5053 89.799 * * [simplify]: Extracting #5: cost 85 inf + 61237 89.825 * * [simplify]: Extracting #6: cost 1 inf + 121663 89.852 * * [simplify]: Extracting #7: cost 0 inf + 121169 89.878 * * [simplify]: Extracting #8: cost 0 inf + 121168 89.891 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))) 89.891 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))))) 89.892 * * * * [progress]: [ 178 / 210 ] simplifiying candidate # 89.892 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) 89.892 * * [simplify]: iters left: 6 (9 enodes) 89.895 * * [simplify]: iters left: 5 (38 enodes) 89.904 * * [simplify]: iters left: 4 (63 enodes) 89.916 * * [simplify]: iters left: 3 (100 enodes) 89.947 * * [simplify]: iters left: 2 (175 enodes) 90.015 * * [simplify]: iters left: 1 (360 enodes) 90.214 * * [simplify]: Extracting #0: cost 1 inf + 0 90.215 * * [simplify]: Extracting #1: cost 52 inf + 0 90.216 * * [simplify]: Extracting #2: cost 150 inf + 3 90.217 * * [simplify]: Extracting #3: cost 190 inf + 8 90.219 * * [simplify]: Extracting #4: cost 167 inf + 1999 90.226 * * [simplify]: Extracting #5: cost 109 inf + 14534 90.251 * * [simplify]: Extracting #6: cost 11 inf + 80954 90.277 * * [simplify]: Extracting #7: cost 0 inf + 87093 90.304 * * [simplify]: Extracting #8: cost 0 inf + 85003 90.327 * * [simplify]: Extracting #9: cost 0 inf + 84872 90.340 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 90.340 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))) 90.341 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)) 90.341 * * [simplify]: iters left: 6 (11 enodes) 90.344 * * [simplify]: iters left: 5 (49 enodes) 90.355 * * [simplify]: iters left: 4 (97 enodes) 90.395 * * [simplify]: iters left: 3 (227 enodes) 90.493 * * [simplify]: Extracting #0: cost 1 inf + 0 90.493 * * [simplify]: Extracting #1: cost 64 inf + 0 90.494 * * [simplify]: Extracting #2: cost 183 inf + 0 90.496 * * [simplify]: Extracting #3: cost 211 inf + 45 90.498 * * [simplify]: Extracting #4: cost 188 inf + 5340 90.508 * * [simplify]: Extracting #5: cost 85 inf + 55137 90.525 * * [simplify]: Extracting #6: cost 11 inf + 106095 90.539 * * [simplify]: Extracting #7: cost 0 inf + 111566 90.553 * * [simplify]: Extracting #8: cost 0 inf + 110892 90.573 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)) 90.573 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 90.573 * * * * [progress]: [ 179 / 210 ] simplifiying candidate # 90.574 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 90.574 * * [simplify]: iters left: 6 (10 enodes) 90.577 * * [simplify]: iters left: 5 (41 enodes) 90.584 * * [simplify]: iters left: 4 (68 enodes) 90.600 * * [simplify]: iters left: 3 (109 enodes) 90.629 * * [simplify]: iters left: 2 (194 enodes) 90.687 * * [simplify]: iters left: 1 (414 enodes) 90.896 * * [simplify]: Extracting #0: cost 1 inf + 0 90.896 * * [simplify]: Extracting #1: cost 45 inf + 0 90.897 * * [simplify]: Extracting #2: cost 141 inf + 0 90.897 * * [simplify]: Extracting #3: cost 206 inf + 4 90.900 * * [simplify]: Extracting #4: cost 178 inf + 9345 90.910 * * [simplify]: Extracting #5: cost 101 inf + 32669 90.936 * * [simplify]: Extracting #6: cost 15 inf + 90305 90.967 * * [simplify]: Extracting #7: cost 0 inf + 100314 90.998 * * [simplify]: Extracting #8: cost 0 inf + 100143 91.026 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) 91.027 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))) 91.027 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) 91.027 * * [simplify]: iters left: 6 (12 enodes) 91.031 * * [simplify]: iters left: 5 (52 enodes) 91.040 * * [simplify]: iters left: 4 (100 enodes) 91.064 * * [simplify]: iters left: 3 (230 enodes) 91.145 * * [simplify]: Extracting #0: cost 1 inf + 0 91.146 * * [simplify]: Extracting #1: cost 65 inf + 0 91.147 * * [simplify]: Extracting #2: cost 183 inf + 0 91.148 * * [simplify]: Extracting #3: cost 214 inf + 3 91.151 * * [simplify]: Extracting #4: cost 190 inf + 5053 91.162 * * [simplify]: Extracting #5: cost 85 inf + 61237 91.193 * * [simplify]: Extracting #6: cost 1 inf + 121663 91.220 * * [simplify]: Extracting #7: cost 0 inf + 121169 91.240 * * [simplify]: Extracting #8: cost 0 inf + 121168 91.253 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))) 91.254 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt (sqrt k))))) 91.254 * * * * [progress]: [ 180 / 210 ] simplifiying candidate # 91.254 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) 1) 91.254 * * [simplify]: iters left: 6 (8 enodes) 91.257 * * [simplify]: iters left: 5 (33 enodes) 91.263 * * [simplify]: iters left: 4 (56 enodes) 91.283 * * [simplify]: iters left: 3 (98 enodes) 91.322 * * [simplify]: iters left: 2 (203 enodes) 91.381 * * [simplify]: iters left: 1 (441 enodes) 91.621 * * [simplify]: Extracting #0: cost 1 inf + 0 91.621 * * [simplify]: Extracting #1: cost 49 inf + 0 91.622 * * [simplify]: Extracting #2: cost 157 inf + 3 91.624 * * [simplify]: Extracting #3: cost 212 inf + 8 91.626 * * [simplify]: Extracting #4: cost 198 inf + 1133 91.631 * * [simplify]: Extracting #5: cost 127 inf + 13703 91.651 * * [simplify]: Extracting #6: cost 35 inf + 74586 91.686 * * [simplify]: Extracting #7: cost 0 inf + 99668 91.725 * * [simplify]: Extracting #8: cost 0 inf + 99308 91.759 * [simplify]: Simplified to (pow n (- 1/2 (/ k 2))) 91.759 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))) 91.760 * [simplify]: Simplifying (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)) 91.760 * * [simplify]: iters left: 6 (11 enodes) 91.766 * * [simplify]: iters left: 5 (49 enodes) 91.783 * * [simplify]: iters left: 4 (97 enodes) 91.819 * * [simplify]: iters left: 3 (227 enodes) 91.910 * * [simplify]: Extracting #0: cost 1 inf + 0 91.911 * * [simplify]: Extracting #1: cost 64 inf + 0 91.912 * * [simplify]: Extracting #2: cost 183 inf + 0 91.913 * * [simplify]: Extracting #3: cost 211 inf + 45 91.916 * * [simplify]: Extracting #4: cost 188 inf + 5340 91.930 * * [simplify]: Extracting #5: cost 85 inf + 55137 91.953 * * [simplify]: Extracting #6: cost 11 inf + 106095 91.982 * * [simplify]: Extracting #7: cost 0 inf + 111566 92.010 * * [simplify]: Extracting #8: cost 0 inf + 110892 92.038 * [simplify]: Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)) 92.038 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)))) 92.038 * * * * [progress]: [ 181 / 210 ] simplifiying candidate # 92.038 * * * * [progress]: [ 182 / 210 ] simplifiying candidate # 92.038 * * * * [progress]: [ 183 / 210 ] simplifiying candidate # 92.038 * * * * [progress]: [ 184 / 210 ] simplifiying candidate # 92.038 * [simplify]: Simplifying (cbrt (sqrt k)) 92.039 * * [simplify]: iters left: 2 (3 enodes) 92.040 * * [simplify]: iters left: 1 (9 enodes) 92.042 * * [simplify]: Extracting #0: cost 1 inf + 0 92.042 * * [simplify]: Extracting #1: cost 3 inf + 0 92.042 * * [simplify]: Extracting #2: cost 5 inf + 0 92.042 * * [simplify]: Extracting #3: cost 4 inf + 1 92.042 * * [simplify]: Extracting #4: cost 0 inf + 325 92.043 * [simplify]: Simplified to (cbrt (sqrt k)) 92.043 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 92.043 * * * * [progress]: [ 185 / 210 ] simplifiying candidate # 92.043 * [simplify]: Simplifying (sqrt (cbrt k)) 92.043 * * [simplify]: iters left: 2 (3 enodes) 92.044 * * [simplify]: iters left: 1 (9 enodes) 92.047 * * [simplify]: Extracting #0: cost 1 inf + 0 92.047 * * [simplify]: Extracting #1: cost 3 inf + 0 92.047 * * [simplify]: Extracting #2: cost 5 inf + 0 92.047 * * [simplify]: Extracting #3: cost 4 inf + 1 92.047 * * [simplify]: Extracting #4: cost 0 inf + 405 92.047 * [simplify]: Simplified to (sqrt (cbrt k)) 92.047 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))) 92.047 * * * * [progress]: [ 186 / 210 ] simplifiying candidate # 92.048 * [simplify]: Simplifying (sqrt (sqrt k)) 92.048 * * [simplify]: iters left: 2 (3 enodes) 92.049 * * [simplify]: iters left: 1 (9 enodes) 92.051 * * [simplify]: Extracting #0: cost 1 inf + 0 92.051 * * [simplify]: Extracting #1: cost 3 inf + 0 92.051 * * [simplify]: Extracting #2: cost 5 inf + 0 92.051 * * [simplify]: Extracting #3: cost 4 inf + 1 92.051 * * [simplify]: Extracting #4: cost 0 inf + 245 92.051 * [simplify]: Simplified to (sqrt (sqrt k)) 92.052 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 92.052 * * * * [progress]: [ 187 / 210 ] simplifiying candidate # 92.052 * [simplify]: Simplifying (sqrt k) 92.052 * * [simplify]: iters left: 1 (2 enodes) 92.053 * * [simplify]: Extracting #0: cost 1 inf + 0 92.053 * * [simplify]: Extracting #1: cost 3 inf + 0 92.053 * * [simplify]: Extracting #2: cost 2 inf + 1 92.053 * * [simplify]: Extracting #3: cost 0 inf + 83 92.053 * [simplify]: Simplified to (sqrt k) 92.053 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt 1)) (sqrt k))) 92.053 * * * * [progress]: [ 188 / 210 ] simplifiying candidate # 92.054 * [simplify]: Simplifying (sqrt (sqrt k)) 92.054 * * [simplify]: iters left: 2 (3 enodes) 92.055 * * [simplify]: iters left: 1 (9 enodes) 92.057 * * [simplify]: Extracting #0: cost 1 inf + 0 92.057 * * [simplify]: Extracting #1: cost 3 inf + 0 92.057 * * [simplify]: Extracting #2: cost 5 inf + 0 92.057 * * [simplify]: Extracting #3: cost 4 inf + 1 92.057 * * [simplify]: Extracting #4: cost 0 inf + 245 92.057 * [simplify]: Simplified to (sqrt (sqrt k)) 92.057 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 92.058 * * * * [progress]: [ 189 / 210 ] simplifiying candidate # 92.058 * [simplify]: Simplifying (sqrt k) 92.058 * * [simplify]: iters left: 1 (2 enodes) 92.059 * * [simplify]: Extracting #0: cost 1 inf + 0 92.059 * * [simplify]: Extracting #1: cost 3 inf + 0 92.059 * * [simplify]: Extracting #2: cost 2 inf + 1 92.059 * * [simplify]: Extracting #3: cost 0 inf + 83 92.059 * [simplify]: Simplified to (sqrt k) 92.059 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1) (sqrt k))) 92.060 * * * * [progress]: [ 190 / 210 ] simplifiying candidate # 92.060 * [simplify]: Simplifying (pow n (/ (- 1 k) 2)) 92.060 * * [simplify]: iters left: 5 (7 enodes) 92.065 * * [simplify]: iters left: 4 (32 enodes) 92.072 * * [simplify]: iters left: 3 (57 enodes) 92.084 * * [simplify]: iters left: 2 (88 enodes) 92.100 * * [simplify]: iters left: 1 (156 enodes) 92.163 * * [simplify]: Extracting #0: cost 1 inf + 0 92.163 * * [simplify]: Extracting #1: cost 13 inf + 0 92.163 * * [simplify]: Extracting #2: cost 49 inf + 2 92.164 * * [simplify]: Extracting #3: cost 80 inf + 6 92.165 * * [simplify]: Extracting #4: cost 58 inf + 1840 92.168 * * [simplify]: Extracting #5: cost 22 inf + 9206 92.173 * * [simplify]: Extracting #6: cost 1 inf + 20886 92.177 * * [simplify]: Extracting #7: cost 0 inf + 21301 92.180 * * [simplify]: Extracting #8: cost 0 inf + 21130 92.183 * [simplify]: Simplified to (pow n (/ (- 1 k) 2)) 92.183 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 92.183 * * * * [progress]: [ 191 / 210 ] simplifiying candidate # 92.183 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 92.183 * * [simplify]: iters left: 6 (10 enodes) 92.188 * * [simplify]: iters left: 5 (45 enodes) 92.207 * * [simplify]: iters left: 4 (127 enodes) 92.261 * * [simplify]: iters left: 3 (400 enodes) 92.521 * * [simplify]: Extracting #0: cost 1 inf + 0 92.521 * * [simplify]: Extracting #1: cost 80 inf + 0 92.523 * * [simplify]: Extracting #2: cost 331 inf + 0 92.527 * * [simplify]: Extracting #3: cost 321 inf + 700 92.532 * * [simplify]: Extracting #4: cost 247 inf + 29887 92.547 * * [simplify]: Extracting #5: cost 45 inf + 143361 92.561 * * [simplify]: Extracting #6: cost 0 inf + 171174 92.579 * * [simplify]: Extracting #7: cost 0 inf + 171134 92.607 * [simplify]: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 92.607 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (sqrt k) (* (pow n (/ k 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))))) 92.608 * * * * [progress]: [ 192 / 210 ] simplifiying candidate # 92.608 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 92.608 * * [simplify]: iters left: 6 (13 enodes) 92.617 * * [simplify]: iters left: 5 (59 enodes) 92.644 * * [simplify]: iters left: 4 (146 enodes) 92.704 * * [simplify]: iters left: 3 (424 enodes) 92.958 * * [simplify]: Extracting #0: cost 1 inf + 0 92.959 * * [simplify]: Extracting #1: cost 79 inf + 0 92.961 * * [simplify]: Extracting #2: cost 333 inf + 0 92.964 * * [simplify]: Extracting #3: cost 345 inf + 424 92.968 * * [simplify]: Extracting #4: cost 328 inf + 7325 92.978 * * [simplify]: Extracting #5: cost 217 inf + 60649 93.015 * * [simplify]: Extracting #6: cost 19 inf + 196881 93.041 * * [simplify]: Extracting #7: cost 0 inf + 210813 93.063 * * [simplify]: Extracting #8: cost 0 inf + 210653 93.093 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) 93.094 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow PI (/ k 2)))))) 93.094 * * * * [progress]: [ 193 / 210 ] simplifiying candidate # 93.094 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 93.094 * * [simplify]: iters left: 6 (13 enodes) 93.103 * * [simplify]: iters left: 5 (59 enodes) 93.133 * * [simplify]: iters left: 4 (146 enodes) 93.196 * * [simplify]: iters left: 3 (425 enodes) 93.478 * * [simplify]: Extracting #0: cost 1 inf + 0 93.479 * * [simplify]: Extracting #1: cost 86 inf + 0 93.481 * * [simplify]: Extracting #2: cost 345 inf + 0 93.483 * * [simplify]: Extracting #3: cost 354 inf + 1191 93.486 * * [simplify]: Extracting #4: cost 325 inf + 14687 93.492 * * [simplify]: Extracting #5: cost 211 inf + 71775 93.512 * * [simplify]: Extracting #6: cost 53 inf + 176712 93.546 * * [simplify]: Extracting #7: cost 0 inf + 213091 93.587 * * [simplify]: Extracting #8: cost 0 inf + 213011 93.631 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) 93.631 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow 2 (/ k 2)))))) 93.631 * * * * [progress]: [ 194 / 210 ] simplifiying candidate # 93.632 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) 93.632 * * [simplify]: iters left: 6 (13 enodes) 93.640 * * [simplify]: iters left: 5 (58 enodes) 93.660 * * [simplify]: iters left: 4 (136 enodes) 93.713 * * [simplify]: iters left: 3 (415 enodes) 94.122 * * [simplify]: Extracting #0: cost 1 inf + 0 94.122 * * [simplify]: Extracting #1: cost 98 inf + 0 94.125 * * [simplify]: Extracting #2: cost 403 inf + 0 94.130 * * [simplify]: Extracting #3: cost 390 inf + 9297 94.140 * * [simplify]: Extracting #4: cost 321 inf + 47595 94.160 * * [simplify]: Extracting #5: cost 199 inf + 111722 94.204 * * [simplify]: Extracting #6: cost 14 inf + 248133 94.259 * * [simplify]: Extracting #7: cost 0 inf + 258831 94.287 * [simplify]: Simplified to (* (* (sqrt 2) (sqrt PI)) (pow n (/ (- 1 k) 2))) 94.287 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (sqrt PI)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 94.288 * * * * [progress]: [ 195 / 210 ] simplifiying candidate # 94.288 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) 94.288 * * [simplify]: iters left: 6 (13 enodes) 94.292 * * [simplify]: iters left: 5 (58 enodes) 94.304 * * [simplify]: iters left: 4 (130 enodes) 94.368 * * [simplify]: iters left: 3 (394 enodes) 94.682 * * [simplify]: Extracting #0: cost 1 inf + 0 94.682 * * [simplify]: Extracting #1: cost 92 inf + 0 94.683 * * [simplify]: Extracting #2: cost 400 inf + 0 94.685 * * [simplify]: Extracting #3: cost 413 inf + 514 94.688 * * [simplify]: Extracting #4: cost 410 inf + 3218 94.698 * * [simplify]: Extracting #5: cost 321 inf + 51071 94.729 * * [simplify]: Extracting #6: cost 112 inf + 196780 94.769 * * [simplify]: Extracting #7: cost 1 inf + 290120 94.805 * * [simplify]: Extracting #8: cost 0 inf + 290785 94.858 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (pow n (/ (- 1 k) 2))) 94.858 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow PI (/ k 2))))) 94.859 * * * * [progress]: [ 196 / 210 ] simplifiying candidate # 94.859 * [simplify]: Simplifying (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) 94.859 * * [simplify]: iters left: 6 (13 enodes) 94.867 * * [simplify]: iters left: 5 (58 enodes) 94.880 * * [simplify]: iters left: 4 (130 enodes) 94.935 * * [simplify]: iters left: 3 (394 enodes) 95.314 * * [simplify]: Extracting #0: cost 1 inf + 0 95.314 * * [simplify]: Extracting #1: cost 92 inf + 0 95.316 * * [simplify]: Extracting #2: cost 391 inf + 0 95.318 * * [simplify]: Extracting #3: cost 405 inf + 513 95.320 * * [simplify]: Extracting #4: cost 407 inf + 1576 95.325 * * [simplify]: Extracting #5: cost 288 inf + 63066 95.361 * * [simplify]: Extracting #6: cost 62 inf + 227835 95.399 * * [simplify]: Extracting #7: cost 0 inf + 280137 95.441 * * [simplify]: Extracting #8: cost 0 inf + 280057 95.475 * [simplify]: Simplified to (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 95.475 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (sqrt k) (pow 2 (/ k 2))))) 95.475 * * * * [progress]: [ 197 / 210 ] simplifiying candidate # 95.475 * [simplify]: Simplifying (* (pow n (/ 1 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 95.475 * * [simplify]: iters left: 6 (13 enodes) 95.480 * * [simplify]: iters left: 5 (59 enodes) 95.498 * * [simplify]: iters left: 4 (136 enodes) 95.552 * * [simplify]: iters left: 3 (395 enodes) 95.898 * * [simplify]: Extracting #0: cost 1 inf + 0 95.898 * * [simplify]: Extracting #1: cost 89 inf + 0 95.900 * * [simplify]: Extracting #2: cost 371 inf + 0 95.901 * * [simplify]: Extracting #3: cost 385 inf + 90 95.903 * * [simplify]: Extracting #4: cost 379 inf + 2464 95.911 * * [simplify]: Extracting #5: cost 244 inf + 82821 95.943 * * [simplify]: Extracting #6: cost 41 inf + 231059 95.978 * * [simplify]: Extracting #7: cost 0 inf + 263386 96.039 * * [simplify]: Extracting #8: cost 0 inf + 263176 96.079 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) 96.079 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt n)) (* (sqrt k) (pow n (/ k 2))))) 96.079 * * * * [progress]: [ 198 / 210 ] simplifiying candidate #real (real->posit16 (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)))))> 96.079 * * * * [progress]: [ 199 / 210 ] simplifiying candidate # 96.079 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 96.079 * * [simplify]: iters left: 6 (18 enodes) 96.086 * * [simplify]: iters left: 5 (83 enodes) 96.115 * * [simplify]: iters left: 4 (209 enodes) 96.200 * * [simplify]: Extracting #0: cost 1 inf + 0 96.200 * * [simplify]: Extracting #1: cost 10 inf + 0 96.200 * * [simplify]: Extracting #2: cost 88 inf + 0 96.201 * * [simplify]: Extracting #3: cost 161 inf + 5 96.202 * * [simplify]: Extracting #4: cost 138 inf + 3919 96.206 * * [simplify]: Extracting #5: cost 21 inf + 35430 96.217 * * [simplify]: Extracting #6: cost 0 inf + 39667 96.229 * * [simplify]: Extracting #7: cost 0 inf + 39427 96.241 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 96.241 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.241 * * * * [progress]: [ 200 / 210 ] simplifiying candidate # 96.242 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 96.242 * * [simplify]: iters left: 6 (10 enodes) 96.248 * * [simplify]: iters left: 5 (44 enodes) 96.264 * * [simplify]: iters left: 4 (87 enodes) 96.302 * * [simplify]: iters left: 3 (209 enodes) 96.369 * * [simplify]: Extracting #0: cost 1 inf + 0 96.369 * * [simplify]: Extracting #1: cost 32 inf + 0 96.369 * * [simplify]: Extracting #2: cost 114 inf + 73 96.370 * * [simplify]: Extracting #3: cost 146 inf + 1532 96.372 * * [simplify]: Extracting #4: cost 64 inf + 14982 96.379 * * [simplify]: Extracting #5: cost 4 inf + 29158 96.388 * * [simplify]: Extracting #6: cost 0 inf + 31027 96.402 * * [simplify]: Extracting #7: cost 0 inf + 30987 96.411 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 96.411 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (exp (* (* (log n) 1/2) (- 1 k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.412 * * * * [progress]: [ 201 / 210 ] simplifiying candidate # 96.412 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 96.412 * * [simplify]: iters left: 6 (13 enodes) 96.419 * * [simplify]: iters left: 5 (53 enodes) 96.429 * * [simplify]: iters left: 4 (109 enodes) 96.462 * * [simplify]: iters left: 3 (305 enodes) 96.586 * * [simplify]: Extracting #0: cost 1 inf + 0 96.586 * * [simplify]: Extracting #1: cost 34 inf + 0 96.587 * * [simplify]: Extracting #2: cost 135 inf + 73 96.588 * * [simplify]: Extracting #3: cost 197 inf + 2363 96.596 * * [simplify]: Extracting #4: cost 91 inf + 20834 96.609 * * [simplify]: Extracting #5: cost 9 inf + 40850 96.624 * * [simplify]: Extracting #6: cost 0 inf + 43041 96.640 * * [simplify]: Extracting #7: cost 0 inf + 43035 96.655 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 96.655 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (exp (- (log n) (* k (log n))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k))) 96.656 * * * * [progress]: [ 202 / 210 ] simplifiying candidate # 96.656 * [simplify]: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 96.656 * * [simplify]: iters left: 6 (18 enodes) 96.667 * * [simplify]: iters left: 5 (83 enodes) 96.693 * * [simplify]: iters left: 4 (199 enodes) 96.761 * * [simplify]: Extracting #0: cost 1 inf + 0 96.761 * * [simplify]: Extracting #1: cost 13 inf + 0 96.761 * * [simplify]: Extracting #2: cost 105 inf + 0 96.762 * * [simplify]: Extracting #3: cost 175 inf + 1220 96.768 * * [simplify]: Extracting #4: cost 84 inf + 21032 96.780 * * [simplify]: Extracting #5: cost 12 inf + 43012 96.794 * * [simplify]: Extracting #6: cost 0 inf + 45959 96.808 * * [simplify]: Extracting #7: cost 0 inf + 45839 96.822 * [simplify]: Simplified to (+ (sqrt PI) (* (sqrt PI) (+ (* (* k (log PI)) (* (* k (log PI)) 1/8)) (* (* k (log PI)) -1/2)))) 96.822 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (+ (sqrt PI) (* (sqrt PI) (+ (* (* k (log PI)) (* (* k (log PI)) 1/8)) (* (* k (log PI)) -1/2)))))) (sqrt k))) 96.822 * * * * [progress]: [ 203 / 210 ] simplifiying candidate # 96.822 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 96.822 * * [simplify]: iters left: 6 (9 enodes) 96.828 * * [simplify]: iters left: 5 (37 enodes) 96.835 * * [simplify]: iters left: 4 (72 enodes) 96.850 * * [simplify]: iters left: 3 (148 enodes) 96.904 * * [simplify]: iters left: 2 (347 enodes) 97.036 * * [simplify]: Extracting #0: cost 1 inf + 0 97.036 * * [simplify]: Extracting #1: cost 37 inf + 0 97.037 * * [simplify]: Extracting #2: cost 118 inf + 357 97.038 * * [simplify]: Extracting #3: cost 152 inf + 6344 97.042 * * [simplify]: Extracting #4: cost 70 inf + 22831 97.051 * * [simplify]: Extracting #5: cost 4 inf + 39970 97.063 * * [simplify]: Extracting #6: cost 0 inf + 41186 97.075 * * [simplify]: Extracting #7: cost 0 inf + 41183 97.088 * [simplify]: Simplified to (sqrt (/ PI (exp (* k (log PI))))) 97.088 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (sqrt (/ PI (exp (* k (log PI))))))) (sqrt k))) 97.088 * * * * [progress]: [ 204 / 210 ] simplifiying candidate # 97.089 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 97.089 * * [simplify]: iters left: 6 (9 enodes) 97.095 * * [simplify]: iters left: 5 (37 enodes) 97.108 * * [simplify]: iters left: 4 (72 enodes) 97.134 * * [simplify]: iters left: 3 (148 enodes) 97.191 * * [simplify]: iters left: 2 (347 enodes) 97.348 * * [simplify]: Extracting #0: cost 1 inf + 0 97.348 * * [simplify]: Extracting #1: cost 37 inf + 0 97.349 * * [simplify]: Extracting #2: cost 118 inf + 357 97.351 * * [simplify]: Extracting #3: cost 152 inf + 6344 97.358 * * [simplify]: Extracting #4: cost 70 inf + 22831 97.368 * * [simplify]: Extracting #5: cost 4 inf + 39970 97.375 * * [simplify]: Extracting #6: cost 0 inf + 41186 97.381 * * [simplify]: Extracting #7: cost 0 inf + 41183 97.387 * [simplify]: Simplified to (sqrt (/ PI (exp (* k (log PI))))) 97.388 * [simplify]: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (sqrt (/ PI (exp (* k (log PI))))))) (sqrt k))) 97.388 * * * * [progress]: [ 205 / 210 ] simplifiying candidate # 97.388 * [simplify]: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (sqrt 2) (* (pow k 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* (sqrt 2) (sqrt (* n PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (pow k 2) (log PI)))) (sqrt (* PI n)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))))))))) (+ (* 1/2 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI))))))) 97.388 * * [simplify]: iters left: 6 (68 enodes) 97.417 * * [simplify]: iters left: 5 (341 enodes) 97.505 * * [simplify]: Extracting #0: cost 1 inf + 0 97.506 * * [simplify]: Extracting #1: cost 23 inf + 0 97.506 * * [simplify]: Extracting #2: cost 115 inf + 0 97.507 * * [simplify]: Extracting #3: cost 249 inf + 2 97.509 * * [simplify]: Extracting #4: cost 326 inf + 557 97.518 * * [simplify]: Extracting #5: cost 300 inf + 12347 97.537 * * [simplify]: Extracting #6: cost 114 inf + 63791 97.569 * * [simplify]: Extracting #7: cost 57 inf + 95401 97.618 * * [simplify]: Extracting #8: cost 20 inf + 138235 97.657 * * [simplify]: Extracting #9: cost 0 inf + 165723 97.723 * * [simplify]: Extracting #10: cost 0 inf + 165483 97.775 * [simplify]: Simplified to (- (+ (* (* (sqrt (* PI n)) (* (sqrt 2) (* (* k (log n)) (* k (log n))))) 1/8) (+ (+ (* 1/8 (+ (* (sqrt (* PI n)) (* (* (* (log PI) k) (* (log PI) k)) (sqrt 2))) (* (* (* (log 2) (log 2)) (* (* k k) (sqrt 2))) (sqrt (* PI n))))) (+ (* (sqrt 2) (sqrt (* PI n))) (* (* (sqrt 2) (* (* (* k k) (log n)) (log PI))) (* (sqrt (* PI n)) 1/4)))) (* 1/4 (* (sqrt (* PI n)) (+ (* (* (log 2) (* (* k k) (sqrt 2))) (log PI)) (* (* (log n) (* (* k k) (sqrt 2))) (log 2))))))) (* 1/2 (+ (* (sqrt (* PI n)) (+ (* (* k (sqrt 2)) (log n)) (* (log 2) (* k (sqrt 2))))) (* (* (* k (sqrt 2)) (log PI)) (sqrt (* PI n)))))) 97.775 * [simplify]: Simplified (2 1) to (λ (k n) (/ (- (+ (* (* (sqrt (* PI n)) (* (sqrt 2) (* (* k (log n)) (* k (log n))))) 1/8) (+ (+ (* 1/8 (+ (* (sqrt (* PI n)) (* (* (* (log PI) k) (* (log PI) k)) (sqrt 2))) (* (* (* (log 2) (log 2)) (* (* k k) (sqrt 2))) (sqrt (* PI n))))) (+ (* (sqrt 2) (sqrt (* PI n))) (* (* (sqrt 2) (* (* (* k k) (log n)) (log PI))) (* (sqrt (* PI n)) 1/4)))) (* 1/4 (* (sqrt (* PI n)) (+ (* (* (log 2) (* (* k k) (sqrt 2))) (log PI)) (* (* (log n) (* (* k k) (sqrt 2))) (log 2))))))) (* 1/2 (+ (* (sqrt (* PI n)) (+ (* (* k (sqrt 2)) (log n)) (* (log 2) (* k (sqrt 2))))) (* (* (* k (sqrt 2)) (log PI)) (sqrt (* PI n)))))) (sqrt k))) 97.775 * * * * [progress]: [ 206 / 210 ] simplifiying candidate # 97.776 * [simplify]: Simplifying (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 97.776 * * [simplify]: iters left: 6 (23 enodes) 97.783 * * [simplify]: iters left: 5 (100 enodes) 97.809 * * [simplify]: iters left: 4 (216 enodes) 97.877 * * [simplify]: Extracting #0: cost 1 inf + 0 97.877 * * [simplify]: Extracting #1: cost 15 inf + 0 97.877 * * [simplify]: Extracting #2: cost 95 inf + 0 97.878 * * [simplify]: Extracting #3: cost 173 inf + 571 97.880 * * [simplify]: Extracting #4: cost 155 inf + 5205 97.886 * * [simplify]: Extracting #5: cost 68 inf + 22747 97.900 * * [simplify]: Extracting #6: cost 3 inf + 51847 97.915 * * [simplify]: Extracting #7: cost 0 inf + 53141 97.927 * * [simplify]: Extracting #8: cost 0 inf + 53031 97.934 * [simplify]: Simplified to (exp (- (* (* 1/2 (- 1 k)) (+ (log 2) (log PI))) (* (- 1 k) (* -1/2 (log n))))) 97.934 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (- (* (* 1/2 (- 1 k)) (+ (log 2) (log PI))) (* (- 1 k) (* -1/2 (log n))))) (sqrt k))) 97.934 * * * * [progress]: [ 207 / 210 ] simplifiying candidate # 97.935 * [simplify]: Simplifying (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) 97.935 * * [simplify]: iters left: 6 (25 enodes) 97.942 * * [simplify]: iters left: 5 (104 enodes) 97.975 * * [simplify]: iters left: 4 (221 enodes) 98.057 * * [simplify]: Extracting #0: cost 1 inf + 0 98.057 * * [simplify]: Extracting #1: cost 15 inf + 0 98.057 * * [simplify]: Extracting #2: cost 95 inf + 0 98.058 * * [simplify]: Extracting #3: cost 193 inf + 327 98.061 * * [simplify]: Extracting #4: cost 194 inf + 5760 98.068 * * [simplify]: Extracting #5: cost 102 inf + 27203 98.077 * * [simplify]: Extracting #6: cost 21 inf + 52379 98.086 * * [simplify]: Extracting #7: cost 0 inf + 63439 98.095 * * [simplify]: Extracting #8: cost 0 inf + 61349 98.111 * * [simplify]: Extracting #9: cost 0 inf + 61189 98.129 * [simplify]: Simplified to (exp (* 1/2 (+ (* (- 1 k) (+ 0 (log n))) (* (- 1 k) (+ (log 2) (log PI)))))) 98.129 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* 1/2 (+ (* (- 1 k) (+ 0 (log n))) (* (- 1 k) (+ (log 2) (log PI)))))) (sqrt k))) 98.129 * * * * [progress]: [ 208 / 210 ] simplifiying candidate # 98.130 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 98.130 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.131 * * * * [progress]: [ 209 / 210 ] simplifiying candidate # 98.131 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 98.131 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.132 * * * * [progress]: [ 210 / 210 ] simplifiying candidate # 98.132 * [simplify]: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 98.132 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 98.132 * * * [progress]: adding candidates to table 100.910 * * [progress]: iteration 4 / 4 100.910 * * * [progress]: picking best candidate 100.931 * * * * [pick]: Picked # 100.931 * * * [progress]: localizing error 100.991 * * * [progress]: generating rewritten candidates 100.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 100.999 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 101.005 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 101.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 101.046 * * * [progress]: generating series expansions 101.046 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 101.046 * [backup-simplify]: Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k))) 101.046 * [approximate]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0 101.046 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 101.046 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 101.046 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 101.046 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.046 * [taylor]: Taking taylor expansion of 1/2 in k 101.046 * [backup-simplify]: Simplify 1/2 into 1/2 101.046 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.046 * [taylor]: Taking taylor expansion of 1 in k 101.046 * [backup-simplify]: Simplify 1 into 1 101.046 * [taylor]: Taking taylor expansion of k in k 101.046 * [backup-simplify]: Simplify 0 into 0 101.046 * [backup-simplify]: Simplify 1 into 1 101.046 * [taylor]: Taking taylor expansion of (log n) in k 101.046 * [taylor]: Taking taylor expansion of n in k 101.046 * [backup-simplify]: Simplify n into n 101.046 * [backup-simplify]: Simplify (log n) into (log n) 101.047 * [backup-simplify]: Simplify (- 0) into 0 101.048 * [backup-simplify]: Simplify (+ 1 0) into 1 101.048 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.048 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 101.048 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 101.048 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 101.048 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 101.048 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 101.048 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.048 * [taylor]: Taking taylor expansion of 1/2 in n 101.048 * [backup-simplify]: Simplify 1/2 into 1/2 101.048 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.048 * [taylor]: Taking taylor expansion of 1 in n 101.048 * [backup-simplify]: Simplify 1 into 1 101.048 * [taylor]: Taking taylor expansion of k in n 101.048 * [backup-simplify]: Simplify k into k 101.048 * [taylor]: Taking taylor expansion of (log n) in n 101.048 * [taylor]: Taking taylor expansion of n in n 101.048 * [backup-simplify]: Simplify 0 into 0 101.048 * [backup-simplify]: Simplify 1 into 1 101.049 * [backup-simplify]: Simplify (log 1) into 0 101.049 * [backup-simplify]: Simplify (- k) into (- k) 101.049 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.049 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.049 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.049 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 101.049 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 101.049 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 101.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 101.049 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 101.049 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 101.049 * [taylor]: Taking taylor expansion of 1/2 in n 101.049 * [backup-simplify]: Simplify 1/2 into 1/2 101.049 * [taylor]: Taking taylor expansion of (- 1 k) in n 101.049 * [taylor]: Taking taylor expansion of 1 in n 101.049 * [backup-simplify]: Simplify 1 into 1 101.049 * [taylor]: Taking taylor expansion of k in n 101.049 * [backup-simplify]: Simplify k into k 101.049 * [taylor]: Taking taylor expansion of (log n) in n 101.049 * [taylor]: Taking taylor expansion of n in n 101.049 * [backup-simplify]: Simplify 0 into 0 101.049 * [backup-simplify]: Simplify 1 into 1 101.050 * [backup-simplify]: Simplify (log 1) into 0 101.050 * [backup-simplify]: Simplify (- k) into (- k) 101.050 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 101.050 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 101.050 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.050 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 101.050 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 101.051 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 101.051 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 101.051 * [taylor]: Taking taylor expansion of 1/2 in k 101.051 * [backup-simplify]: Simplify 1/2 into 1/2 101.051 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 101.051 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.051 * [taylor]: Taking taylor expansion of 1 in k 101.051 * [backup-simplify]: Simplify 1 into 1 101.051 * [taylor]: Taking taylor expansion of k in k 101.051 * [backup-simplify]: Simplify 0 into 0 101.051 * [backup-simplify]: Simplify 1 into 1 101.051 * [taylor]: Taking taylor expansion of (log n) in k 101.051 * [taylor]: Taking taylor expansion of n in k 101.051 * [backup-simplify]: Simplify n into n 101.051 * [backup-simplify]: Simplify (log n) into (log n) 101.051 * [backup-simplify]: Simplify (- 0) into 0 101.052 * [backup-simplify]: Simplify (+ 1 0) into 1 101.052 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 101.052 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 101.052 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 101.052 * [backup-simplify]: Simplify (pow n 1/2) into (pow n 1/2) 101.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.053 * [backup-simplify]: Simplify (- 0) into 0 101.053 * [backup-simplify]: Simplify (+ 0 0) into 0 101.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 101.054 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.054 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 101.055 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.055 * [taylor]: Taking taylor expansion of 0 in k 101.055 * [backup-simplify]: Simplify 0 into 0 101.055 * [backup-simplify]: Simplify 0 into 0 101.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 101.055 * [backup-simplify]: Simplify (- 1) into -1 101.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.056 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 101.056 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 101.056 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 101.056 * [backup-simplify]: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 101.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.058 * [backup-simplify]: Simplify (- 0) into 0 101.058 * [backup-simplify]: Simplify (+ 0 0) into 0 101.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 101.059 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 101.059 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 101.060 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.060 * [taylor]: Taking taylor expansion of 0 in k 101.060 * [backup-simplify]: Simplify 0 into 0 101.060 * [backup-simplify]: Simplify 0 into 0 101.060 * [backup-simplify]: Simplify 0 into 0 101.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 101.062 * [backup-simplify]: Simplify (- 0) into 0 101.062 * [backup-simplify]: Simplify (+ 0 0) into 0 101.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 101.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 101.063 * [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))) 101.064 * [backup-simplify]: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 101.064 * [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)))) 101.064 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) 101.064 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 101.064 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 101.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 101.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 101.064 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.064 * [taylor]: Taking taylor expansion of 1/2 in k 101.064 * [backup-simplify]: Simplify 1/2 into 1/2 101.064 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.064 * [taylor]: Taking taylor expansion of 1 in k 101.064 * [backup-simplify]: Simplify 1 into 1 101.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.064 * [taylor]: Taking taylor expansion of k in k 101.064 * [backup-simplify]: Simplify 0 into 0 101.064 * [backup-simplify]: Simplify 1 into 1 101.064 * [backup-simplify]: Simplify (/ 1 1) into 1 101.065 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 101.065 * [taylor]: Taking taylor expansion of (/ 1 n) in k 101.065 * [taylor]: Taking taylor expansion of n in k 101.065 * [backup-simplify]: Simplify n into n 101.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 101.065 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 101.065 * [backup-simplify]: Simplify (- 1) into -1 101.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.065 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.066 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 101.066 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 101.066 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 101.066 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 101.066 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 101.066 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.066 * [taylor]: Taking taylor expansion of 1/2 in n 101.066 * [backup-simplify]: Simplify 1/2 into 1/2 101.066 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.066 * [taylor]: Taking taylor expansion of 1 in n 101.066 * [backup-simplify]: Simplify 1 into 1 101.066 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.066 * [taylor]: Taking taylor expansion of k in n 101.066 * [backup-simplify]: Simplify k into k 101.066 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.066 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 101.066 * [taylor]: Taking taylor expansion of (/ 1 n) in n 101.066 * [taylor]: Taking taylor expansion of n in n 101.066 * [backup-simplify]: Simplify 0 into 0 101.066 * [backup-simplify]: Simplify 1 into 1 101.066 * [backup-simplify]: Simplify (/ 1 1) into 1 101.066 * [backup-simplify]: Simplify (log 1) into 0 101.066 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.067 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.067 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.067 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 101.067 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.067 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 101.067 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 101.067 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 101.067 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 101.067 * [taylor]: Taking taylor expansion of 1/2 in n 101.067 * [backup-simplify]: Simplify 1/2 into 1/2 101.067 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 101.067 * [taylor]: Taking taylor expansion of 1 in n 101.067 * [backup-simplify]: Simplify 1 into 1 101.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.067 * [taylor]: Taking taylor expansion of k in n 101.067 * [backup-simplify]: Simplify k into k 101.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.067 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 101.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 101.067 * [taylor]: Taking taylor expansion of n in n 101.067 * [backup-simplify]: Simplify 0 into 0 101.067 * [backup-simplify]: Simplify 1 into 1 101.068 * [backup-simplify]: Simplify (/ 1 1) into 1 101.068 * [backup-simplify]: Simplify (log 1) into 0 101.068 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 101.068 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 101.068 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 101.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.068 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 101.068 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.069 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 101.069 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 101.069 * [taylor]: Taking taylor expansion of -1/2 in k 101.069 * [backup-simplify]: Simplify -1/2 into -1/2 101.069 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 101.069 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.069 * [taylor]: Taking taylor expansion of 1 in k 101.069 * [backup-simplify]: Simplify 1 into 1 101.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.069 * [taylor]: Taking taylor expansion of k in k 101.069 * [backup-simplify]: Simplify 0 into 0 101.069 * [backup-simplify]: Simplify 1 into 1 101.069 * [backup-simplify]: Simplify (/ 1 1) into 1 101.069 * [taylor]: Taking taylor expansion of (log n) in k 101.069 * [taylor]: Taking taylor expansion of n in k 101.069 * [backup-simplify]: Simplify n into n 101.069 * [backup-simplify]: Simplify (log n) into (log n) 101.069 * [backup-simplify]: Simplify (- 1) into -1 101.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.070 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 101.070 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 101.070 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.070 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 101.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 101.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 101.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.071 * [backup-simplify]: Simplify (- 0) into 0 101.072 * [backup-simplify]: Simplify (+ 0 0) into 0 101.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 101.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.072 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 101.073 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 101.073 * [taylor]: Taking taylor expansion of 0 in k 101.073 * [backup-simplify]: Simplify 0 into 0 101.073 * [backup-simplify]: Simplify 0 into 0 101.073 * [backup-simplify]: Simplify 0 into 0 101.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 101.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.076 * [backup-simplify]: Simplify (- 0) into 0 101.076 * [backup-simplify]: Simplify (+ 0 0) into 0 101.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 101.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.077 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 101.078 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.078 * [taylor]: Taking taylor expansion of 0 in k 101.078 * [backup-simplify]: Simplify 0 into 0 101.078 * [backup-simplify]: Simplify 0 into 0 101.078 * [backup-simplify]: Simplify 0 into 0 101.078 * [backup-simplify]: Simplify 0 into 0 101.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.081 * [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 0 101.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.082 * [backup-simplify]: Simplify (- 0) into 0 101.082 * [backup-simplify]: Simplify (+ 0 0) into 0 101.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 101.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 101.083 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 101.084 * [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 0 101.085 * [taylor]: Taking taylor expansion of 0 in k 101.085 * [backup-simplify]: Simplify 0 into 0 101.085 * [backup-simplify]: Simplify 0 into 0 101.085 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 101.085 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) 101.085 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 101.085 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 101.085 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 101.085 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 101.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.085 * [taylor]: Taking taylor expansion of 1/2 in k 101.085 * [backup-simplify]: Simplify 1/2 into 1/2 101.085 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.085 * [taylor]: Taking taylor expansion of k in k 101.085 * [backup-simplify]: Simplify 0 into 0 101.085 * [backup-simplify]: Simplify 1 into 1 101.085 * [backup-simplify]: Simplify (/ 1 1) into 1 101.085 * [taylor]: Taking taylor expansion of 1 in k 101.085 * [backup-simplify]: Simplify 1 into 1 101.085 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 101.085 * [taylor]: Taking taylor expansion of (/ -1 n) in k 101.085 * [taylor]: Taking taylor expansion of -1 in k 101.085 * [backup-simplify]: Simplify -1 into -1 101.085 * [taylor]: Taking taylor expansion of n in k 101.085 * [backup-simplify]: Simplify n into n 101.085 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 101.085 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 101.086 * [backup-simplify]: Simplify (+ 1 0) into 1 101.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.086 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 101.086 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 101.086 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 101.086 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 101.086 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 101.086 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.086 * [taylor]: Taking taylor expansion of 1/2 in n 101.086 * [backup-simplify]: Simplify 1/2 into 1/2 101.086 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.086 * [taylor]: Taking taylor expansion of k in n 101.086 * [backup-simplify]: Simplify k into k 101.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.086 * [taylor]: Taking taylor expansion of 1 in n 101.086 * [backup-simplify]: Simplify 1 into 1 101.086 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 101.086 * [taylor]: Taking taylor expansion of (/ -1 n) in n 101.086 * [taylor]: Taking taylor expansion of -1 in n 101.087 * [backup-simplify]: Simplify -1 into -1 101.087 * [taylor]: Taking taylor expansion of n in n 101.087 * [backup-simplify]: Simplify 0 into 0 101.087 * [backup-simplify]: Simplify 1 into 1 101.087 * [backup-simplify]: Simplify (/ -1 1) into -1 101.087 * [backup-simplify]: Simplify (log -1) into (log -1) 101.087 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.087 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.088 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 101.088 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.088 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 101.088 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 101.088 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 101.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 101.088 * [taylor]: Taking taylor expansion of 1/2 in n 101.088 * [backup-simplify]: Simplify 1/2 into 1/2 101.089 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 101.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 101.089 * [taylor]: Taking taylor expansion of k in n 101.089 * [backup-simplify]: Simplify k into k 101.089 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 101.089 * [taylor]: Taking taylor expansion of 1 in n 101.089 * [backup-simplify]: Simplify 1 into 1 101.089 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 101.089 * [taylor]: Taking taylor expansion of (/ -1 n) in n 101.089 * [taylor]: Taking taylor expansion of -1 in n 101.089 * [backup-simplify]: Simplify -1 into -1 101.089 * [taylor]: Taking taylor expansion of n in n 101.089 * [backup-simplify]: Simplify 0 into 0 101.089 * [backup-simplify]: Simplify 1 into 1 101.089 * [backup-simplify]: Simplify (/ -1 1) into -1 101.089 * [backup-simplify]: Simplify (log -1) into (log -1) 101.089 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 101.089 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 101.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.090 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 101.091 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.091 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 101.091 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 101.091 * [taylor]: Taking taylor expansion of 1/2 in k 101.091 * [backup-simplify]: Simplify 1/2 into 1/2 101.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 101.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.091 * [taylor]: Taking taylor expansion of k in k 101.091 * [backup-simplify]: Simplify 0 into 0 101.091 * [backup-simplify]: Simplify 1 into 1 101.091 * [backup-simplify]: Simplify (/ 1 1) into 1 101.091 * [taylor]: Taking taylor expansion of 1 in k 101.091 * [backup-simplify]: Simplify 1 into 1 101.091 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 101.091 * [taylor]: Taking taylor expansion of (log -1) in k 101.091 * [taylor]: Taking taylor expansion of -1 in k 101.091 * [backup-simplify]: Simplify -1 into -1 101.091 * [backup-simplify]: Simplify (log -1) into (log -1) 101.091 * [taylor]: Taking taylor expansion of (log n) in k 101.091 * [taylor]: Taking taylor expansion of n in k 101.091 * [backup-simplify]: Simplify n into n 101.091 * [backup-simplify]: Simplify (log n) into (log n) 101.092 * [backup-simplify]: Simplify (+ 1 0) into 1 101.092 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 101.092 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 101.092 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 101.093 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 101.093 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.093 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 101.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 101.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 101.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 101.096 * [backup-simplify]: Simplify (+ 0 0) into 0 101.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 101.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.097 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 101.099 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 101.099 * [taylor]: Taking taylor expansion of 0 in k 101.099 * [backup-simplify]: Simplify 0 into 0 101.099 * [backup-simplify]: Simplify 0 into 0 101.099 * [backup-simplify]: Simplify 0 into 0 101.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 101.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.104 * [backup-simplify]: Simplify (+ 0 0) into 0 101.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 101.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.106 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 101.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 101.108 * [taylor]: Taking taylor expansion of 0 in k 101.108 * [backup-simplify]: Simplify 0 into 0 101.108 * [backup-simplify]: Simplify 0 into 0 101.108 * [backup-simplify]: Simplify 0 into 0 101.108 * [backup-simplify]: Simplify 0 into 0 101.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 101.115 * [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 0 101.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 101.116 * [backup-simplify]: Simplify (+ 0 0) into 0 101.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 101.118 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 101.119 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 101.121 * [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 0 101.121 * [taylor]: Taking taylor expansion of 0 in k 101.121 * [backup-simplify]: Simplify 0 into 0 101.121 * [backup-simplify]: Simplify 0 into 0 101.122 * [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)))))) 101.122 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 101.122 * [backup-simplify]: Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k))) 101.122 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0 101.122 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.122 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.122 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.122 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.122 * [taylor]: Taking taylor expansion of 1/2 in k 101.122 * [backup-simplify]: Simplify 1/2 into 1/2 101.123 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.123 * [taylor]: Taking taylor expansion of 1 in k 101.123 * [backup-simplify]: Simplify 1 into 1 101.123 * [taylor]: Taking taylor expansion of k in k 101.123 * [backup-simplify]: Simplify 0 into 0 101.123 * [backup-simplify]: Simplify 1 into 1 101.123 * [taylor]: Taking taylor expansion of (log PI) in k 101.123 * [taylor]: Taking taylor expansion of PI in k 101.123 * [backup-simplify]: Simplify PI into PI 101.123 * [backup-simplify]: Simplify (log PI) into (log PI) 101.123 * [backup-simplify]: Simplify (- 0) into 0 101.124 * [backup-simplify]: Simplify (+ 1 0) into 1 101.124 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.125 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.127 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.127 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.127 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.127 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.127 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.127 * [taylor]: Taking taylor expansion of 1/2 in k 101.127 * [backup-simplify]: Simplify 1/2 into 1/2 101.127 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.127 * [taylor]: Taking taylor expansion of 1 in k 101.127 * [backup-simplify]: Simplify 1 into 1 101.127 * [taylor]: Taking taylor expansion of k in k 101.127 * [backup-simplify]: Simplify 0 into 0 101.127 * [backup-simplify]: Simplify 1 into 1 101.127 * [taylor]: Taking taylor expansion of (log PI) in k 101.127 * [taylor]: Taking taylor expansion of PI in k 101.127 * [backup-simplify]: Simplify PI into PI 101.128 * [backup-simplify]: Simplify (log PI) into (log PI) 101.128 * [backup-simplify]: Simplify (- 0) into 0 101.129 * [backup-simplify]: Simplify (+ 1 0) into 1 101.129 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.130 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.131 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.132 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2) 101.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 101.134 * [backup-simplify]: Simplify (- 1) into -1 101.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.135 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 101.152 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 101.154 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 101.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 101.158 * [backup-simplify]: Simplify (- 0) into 0 101.158 * [backup-simplify]: Simplify (+ 0 0) into 0 101.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 101.172 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.175 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.181 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 101.182 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k)))) 101.182 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0 101.182 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 101.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 101.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 101.182 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.182 * [taylor]: Taking taylor expansion of 1/2 in k 101.182 * [backup-simplify]: Simplify 1/2 into 1/2 101.182 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.182 * [taylor]: Taking taylor expansion of 1 in k 101.182 * [backup-simplify]: Simplify 1 into 1 101.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.182 * [taylor]: Taking taylor expansion of k in k 101.182 * [backup-simplify]: Simplify 0 into 0 101.182 * [backup-simplify]: Simplify 1 into 1 101.183 * [backup-simplify]: Simplify (/ 1 1) into 1 101.183 * [taylor]: Taking taylor expansion of (log PI) in k 101.183 * [taylor]: Taking taylor expansion of PI in k 101.183 * [backup-simplify]: Simplify PI into PI 101.183 * [backup-simplify]: Simplify (log PI) into (log PI) 101.183 * [backup-simplify]: Simplify (- 1) into -1 101.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.184 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.185 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 101.186 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.186 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 101.186 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 101.186 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 101.186 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 101.186 * [taylor]: Taking taylor expansion of 1/2 in k 101.186 * [backup-simplify]: Simplify 1/2 into 1/2 101.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 101.186 * [taylor]: Taking taylor expansion of 1 in k 101.186 * [backup-simplify]: Simplify 1 into 1 101.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.186 * [taylor]: Taking taylor expansion of k in k 101.186 * [backup-simplify]: Simplify 0 into 0 101.186 * [backup-simplify]: Simplify 1 into 1 101.186 * [backup-simplify]: Simplify (/ 1 1) into 1 101.186 * [taylor]: Taking taylor expansion of (log PI) in k 101.186 * [taylor]: Taking taylor expansion of PI in k 101.186 * [backup-simplify]: Simplify PI into PI 101.187 * [backup-simplify]: Simplify (log PI) into (log PI) 101.187 * [backup-simplify]: Simplify (- 1) into -1 101.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.187 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 101.188 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 101.188 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.189 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify 0 into 0 101.189 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 101.189 * [backup-simplify]: Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1))) 101.189 * [approximate]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0 101.189 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 101.189 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 101.189 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 101.189 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.189 * [taylor]: Taking taylor expansion of 1/2 in k 101.189 * [backup-simplify]: Simplify 1/2 into 1/2 101.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.189 * [taylor]: Taking taylor expansion of k in k 101.190 * [backup-simplify]: Simplify 0 into 0 101.190 * [backup-simplify]: Simplify 1 into 1 101.190 * [backup-simplify]: Simplify (/ 1 1) into 1 101.190 * [taylor]: Taking taylor expansion of 1 in k 101.190 * [backup-simplify]: Simplify 1 into 1 101.190 * [taylor]: Taking taylor expansion of (log PI) in k 101.190 * [taylor]: Taking taylor expansion of PI in k 101.190 * [backup-simplify]: Simplify PI into PI 101.190 * [backup-simplify]: Simplify (log PI) into (log PI) 101.190 * [backup-simplify]: Simplify (+ 1 0) into 1 101.191 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.191 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.192 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.192 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 101.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 101.192 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 101.192 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 101.192 * [taylor]: Taking taylor expansion of 1/2 in k 101.192 * [backup-simplify]: Simplify 1/2 into 1/2 101.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 101.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 101.192 * [taylor]: Taking taylor expansion of k in k 101.192 * [backup-simplify]: Simplify 0 into 0 101.192 * [backup-simplify]: Simplify 1 into 1 101.192 * [backup-simplify]: Simplify (/ 1 1) into 1 101.192 * [taylor]: Taking taylor expansion of 1 in k 101.192 * [backup-simplify]: Simplify 1 into 1 101.192 * [taylor]: Taking taylor expansion of (log PI) in k 101.192 * [taylor]: Taking taylor expansion of PI in k 101.192 * [backup-simplify]: Simplify PI into PI 101.192 * [backup-simplify]: Simplify (log PI) into (log PI) 101.193 * [backup-simplify]: Simplify (+ 1 0) into 1 101.193 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.193 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.194 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.194 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 101.194 * [backup-simplify]: Simplify 0 into 0 101.194 * [backup-simplify]: Simplify 0 into 0 101.194 * [backup-simplify]: Simplify 0 into 0 101.194 * [backup-simplify]: Simplify 0 into 0 101.194 * [backup-simplify]: Simplify 0 into 0 101.194 * [backup-simplify]: Simplify 0 into 0 101.195 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 101.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 101.195 * [backup-simplify]: Simplify (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) 101.195 * [approximate]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in (k) around 0 101.195 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in k 101.195 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) in k 101.195 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k 101.195 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 101.195 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 101.195 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 101.195 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.195 * [taylor]: Taking taylor expansion of 1/2 in k 101.195 * [backup-simplify]: Simplify 1/2 into 1/2 101.195 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.195 * [taylor]: Taking taylor expansion of 1 in k 101.195 * [backup-simplify]: Simplify 1 into 1 101.195 * [taylor]: Taking taylor expansion of k in k 101.195 * [backup-simplify]: Simplify 0 into 0 101.195 * [backup-simplify]: Simplify 1 into 1 101.195 * [taylor]: Taking taylor expansion of (log 2) in k 101.195 * [taylor]: Taking taylor expansion of 2 in k 101.195 * [backup-simplify]: Simplify 2 into 2 101.195 * [backup-simplify]: Simplify (log 2) into (log 2) 101.196 * [backup-simplify]: Simplify (- 0) into 0 101.196 * [backup-simplify]: Simplify (+ 1 0) into 1 101.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.197 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 101.198 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 101.198 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.198 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.198 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.198 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.198 * [taylor]: Taking taylor expansion of 1/2 in k 101.198 * [backup-simplify]: Simplify 1/2 into 1/2 101.198 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.198 * [taylor]: Taking taylor expansion of 1 in k 101.198 * [backup-simplify]: Simplify 1 into 1 101.198 * [taylor]: Taking taylor expansion of k in k 101.198 * [backup-simplify]: Simplify 0 into 0 101.198 * [backup-simplify]: Simplify 1 into 1 101.198 * [taylor]: Taking taylor expansion of (log PI) in k 101.198 * [taylor]: Taking taylor expansion of PI in k 101.198 * [backup-simplify]: Simplify PI into PI 101.198 * [backup-simplify]: Simplify (log PI) into (log PI) 101.198 * [backup-simplify]: Simplify (- 0) into 0 101.199 * [backup-simplify]: Simplify (+ 1 0) into 1 101.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.199 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.200 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.201 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 101.202 * [backup-simplify]: Simplify (/ 1 (sqrt (* PI 2))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 101.202 * [taylor]: Taking taylor expansion of (sqrt k) in k 101.202 * [taylor]: Taking taylor expansion of k in k 101.202 * [backup-simplify]: Simplify 0 into 0 101.202 * [backup-simplify]: Simplify 1 into 1 101.203 * [backup-simplify]: Simplify (sqrt 0) into 0 101.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 101.204 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) (sqrt k)) in k 101.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k))))) in k 101.204 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k 101.204 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 101.204 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 101.204 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 101.204 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.204 * [taylor]: Taking taylor expansion of 1/2 in k 101.204 * [backup-simplify]: Simplify 1/2 into 1/2 101.204 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.204 * [taylor]: Taking taylor expansion of 1 in k 101.204 * [backup-simplify]: Simplify 1 into 1 101.204 * [taylor]: Taking taylor expansion of k in k 101.204 * [backup-simplify]: Simplify 0 into 0 101.204 * [backup-simplify]: Simplify 1 into 1 101.204 * [taylor]: Taking taylor expansion of (log 2) in k 101.204 * [taylor]: Taking taylor expansion of 2 in k 101.204 * [backup-simplify]: Simplify 2 into 2 101.204 * [backup-simplify]: Simplify (log 2) into (log 2) 101.205 * [backup-simplify]: Simplify (- 0) into 0 101.205 * [backup-simplify]: Simplify (+ 1 0) into 1 101.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.206 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 101.207 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 101.207 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 101.207 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 101.207 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 101.207 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 101.207 * [taylor]: Taking taylor expansion of 1/2 in k 101.207 * [backup-simplify]: Simplify 1/2 into 1/2 101.207 * [taylor]: Taking taylor expansion of (- 1 k) in k 101.207 * [taylor]: Taking taylor expansion of 1 in k 101.207 * [backup-simplify]: Simplify 1 into 1 101.207 * [taylor]: Taking taylor expansion of k in k 101.207 * [backup-simplify]: Simplify 0 into 0 101.207 * [backup-simplify]: Simplify 1 into 1 101.207 * [taylor]: Taking taylor expansion of (log PI) in k 101.207 * [taylor]: Taking taylor expansion of PI in k 101.207 * [backup-simplify]: Simplify PI into PI 101.207 * [backup-simplify]: Simplify (log PI) into (log PI) 101.207 * [backup-simplify]: Simplify (- 0) into 0 101.208 * [backup-simplify]: Simplify (+ 1 0) into 1 101.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 101.209 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 101.209 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 101.210 * [backup-simplify]: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 101.211 * [backup-simplify]: Simplify (/ 1 (sqrt (* PI 2))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 101.211 * [taylor]: Taking taylor expansion of (sqrt k) in k 101.211 * [taylor]: Taking taylor expansion of k in k 101.212 * [backup-simplify]: Simplify 0 into 0 101.212 * [backup-simplify]: Simplify 1 into 1 101.212 * [backup-simplify]: Simplify (sqrt 0) into 0 101.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 101.214 * [backup-simplify]: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) 0) into 0 101.214 * [backup-simplify]: Simplify 0 into 0 101.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 101.215 * [backup-simplify]: Simplify (- 1) into -1 101.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.216 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 101.225 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 101.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 101.227 * [backup-simplify]: Simplify (- 1) into -1 101.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 101.228 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 101.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 101.239 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 101.249 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 101.286 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) 101.292 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) 101.295 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) 101.298 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 101.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 101.300 * [backup-simplify]: Simplify (- 0) into 0 101.300 * [backup-simplify]: Simplify (+ 0 0) into 0 101.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 101.308 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 101.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 101.310 * [backup-simplify]: Simplify (- 0) into 0 101.310 * [backup-simplify]: Simplify (+ 0 0) into 0 101.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 101.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 101.317 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 101.341 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 101.423 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (sqrt (* PI 2)))) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) 101.457 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) +nan.0) (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) 101.473 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) 101.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 101.478 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 101.479 * [backup-simplify]: Simplify (- 0) into 0 101.479 * [backup-simplify]: Simplify (+ 0 0) into 0 101.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 101.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 101.504 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 101.510 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 101.510 * [backup-simplify]: Simplify (- 0) into 0 101.511 * [backup-simplify]: Simplify (+ 0 0) into 0 101.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 101.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 101.528 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 101.571 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 101.780 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) (/ (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) (sqrt (* PI 2)))) (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) (/ (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (sqrt (* PI 2)))) (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) (/ (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (sqrt (* PI 2)))))) into (+ (* 1/48 (* (/ (pow (log PI) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/48 (* (/ (pow (log 2) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/16 (* (/ (* (log 2) (pow (log PI) 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/16 (* (/ (* (pow (log 2) 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))) 101.867 * [backup-simplify]: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))) +nan.0) (+ (* (+ (* 1/8 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/4 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))))) +nan.0) (* (+ (* 1/48 (* (/ (pow (log PI) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/48 (* (/ (pow (log 2) 3) (sqrt 2)) (sqrt (/ 1 PI)))) (+ (* 1/16 (* (/ (* (log 2) (pow (log PI) 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (* 1/16 (* (/ (* (pow (log 2) 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))) 0)))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) 101.947 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) into (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) 102.091 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow (log 2) 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (log PI)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (/ (log 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 PI))))))))) (pow k 2)) (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 PI))))) k))) into (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 3) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ k (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (pow (log PI) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (* (log PI) (pow k 3))) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (pow (log 2) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))))))))))) 102.091 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) 102.091 * [approximate]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in (k) around 0 102.091 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in k 102.091 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) in k 102.091 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k 102.091 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.092 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.092 * [taylor]: Taking taylor expansion of 1/2 in k 102.092 * [backup-simplify]: Simplify 1/2 into 1/2 102.092 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.092 * [taylor]: Taking taylor expansion of 1 in k 102.092 * [backup-simplify]: Simplify 1 into 1 102.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.092 * [taylor]: Taking taylor expansion of k in k 102.092 * [backup-simplify]: Simplify 0 into 0 102.092 * [backup-simplify]: Simplify 1 into 1 102.092 * [backup-simplify]: Simplify (/ 1 1) into 1 102.092 * [taylor]: Taking taylor expansion of (log 2) in k 102.092 * [taylor]: Taking taylor expansion of 2 in k 102.092 * [backup-simplify]: Simplify 2 into 2 102.092 * [backup-simplify]: Simplify (log 2) into (log 2) 102.092 * [backup-simplify]: Simplify (- 1) into -1 102.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.093 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.094 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.094 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.094 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.094 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.094 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.094 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.094 * [taylor]: Taking taylor expansion of 1/2 in k 102.094 * [backup-simplify]: Simplify 1/2 into 1/2 102.094 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.094 * [taylor]: Taking taylor expansion of 1 in k 102.094 * [backup-simplify]: Simplify 1 into 1 102.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.094 * [taylor]: Taking taylor expansion of k in k 102.094 * [backup-simplify]: Simplify 0 into 0 102.094 * [backup-simplify]: Simplify 1 into 1 102.094 * [backup-simplify]: Simplify (/ 1 1) into 1 102.094 * [taylor]: Taking taylor expansion of (log PI) in k 102.094 * [taylor]: Taking taylor expansion of PI in k 102.094 * [backup-simplify]: Simplify PI into PI 102.095 * [backup-simplify]: Simplify (log PI) into (log PI) 102.095 * [backup-simplify]: Simplify (- 1) into -1 102.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.095 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.096 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.096 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.097 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 102.097 * [backup-simplify]: Simplify (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.097 * [taylor]: Taking taylor expansion of k in k 102.097 * [backup-simplify]: Simplify 0 into 0 102.098 * [backup-simplify]: Simplify 1 into 1 102.098 * [backup-simplify]: Simplify (/ 1 1) into 1 102.098 * [backup-simplify]: Simplify (sqrt 0) into 0 102.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.099 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) (sqrt (/ 1 k))) in k 102.099 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k)))))) in k 102.099 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k 102.099 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.099 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.099 * [taylor]: Taking taylor expansion of 1/2 in k 102.099 * [backup-simplify]: Simplify 1/2 into 1/2 102.099 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.099 * [taylor]: Taking taylor expansion of 1 in k 102.099 * [backup-simplify]: Simplify 1 into 1 102.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.099 * [taylor]: Taking taylor expansion of k in k 102.099 * [backup-simplify]: Simplify 0 into 0 102.099 * [backup-simplify]: Simplify 1 into 1 102.099 * [backup-simplify]: Simplify (/ 1 1) into 1 102.099 * [taylor]: Taking taylor expansion of (log 2) in k 102.099 * [taylor]: Taking taylor expansion of 2 in k 102.099 * [backup-simplify]: Simplify 2 into 2 102.100 * [backup-simplify]: Simplify (log 2) into (log 2) 102.100 * [backup-simplify]: Simplify (- 1) into -1 102.100 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.100 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.101 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.101 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.101 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.101 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.101 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.101 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.101 * [taylor]: Taking taylor expansion of 1/2 in k 102.101 * [backup-simplify]: Simplify 1/2 into 1/2 102.101 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.101 * [taylor]: Taking taylor expansion of 1 in k 102.102 * [backup-simplify]: Simplify 1 into 1 102.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.102 * [taylor]: Taking taylor expansion of k in k 102.102 * [backup-simplify]: Simplify 0 into 0 102.102 * [backup-simplify]: Simplify 1 into 1 102.102 * [backup-simplify]: Simplify (/ 1 1) into 1 102.102 * [taylor]: Taking taylor expansion of (log PI) in k 102.102 * [taylor]: Taking taylor expansion of PI in k 102.102 * [backup-simplify]: Simplify PI into PI 102.102 * [backup-simplify]: Simplify (log PI) into (log PI) 102.102 * [backup-simplify]: Simplify (- 1) into -1 102.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.103 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.103 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.104 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.104 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 102.105 * [backup-simplify]: Simplify (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.105 * [taylor]: Taking taylor expansion of k in k 102.105 * [backup-simplify]: Simplify 0 into 0 102.105 * [backup-simplify]: Simplify 1 into 1 102.105 * [backup-simplify]: Simplify (/ 1 1) into 1 102.106 * [backup-simplify]: Simplify (sqrt 0) into 0 102.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.107 * [backup-simplify]: Simplify (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 102.107 * [backup-simplify]: Simplify 0 into 0 102.108 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into 0 102.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.110 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.110 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.113 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.119 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))) into 0 102.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.122 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.122 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.129 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))))) into 0 102.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) (* 0 (/ 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))))) into 0 102.135 * [backup-simplify]: Simplify (+ (* (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.136 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.139 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 102.140 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) 102.140 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in (k) around 0 102.140 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.140 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.140 * [taylor]: Taking taylor expansion of -1 in k 102.140 * [backup-simplify]: Simplify -1 into -1 102.140 * [taylor]: Taking taylor expansion of k in k 102.140 * [backup-simplify]: Simplify 0 into 0 102.140 * [backup-simplify]: Simplify 1 into 1 102.141 * [backup-simplify]: Simplify (/ -1 1) into -1 102.141 * [backup-simplify]: Simplify (sqrt 0) into 0 102.143 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.143 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.143 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.143 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.143 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.143 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.143 * [taylor]: Taking taylor expansion of 1/2 in k 102.143 * [backup-simplify]: Simplify 1/2 into 1/2 102.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.143 * [taylor]: Taking taylor expansion of k in k 102.143 * [backup-simplify]: Simplify 0 into 0 102.143 * [backup-simplify]: Simplify 1 into 1 102.143 * [backup-simplify]: Simplify (/ 1 1) into 1 102.143 * [taylor]: Taking taylor expansion of 1 in k 102.144 * [backup-simplify]: Simplify 1 into 1 102.144 * [taylor]: Taking taylor expansion of (log 2) in k 102.144 * [taylor]: Taking taylor expansion of 2 in k 102.144 * [backup-simplify]: Simplify 2 into 2 102.144 * [backup-simplify]: Simplify (log 2) into (log 2) 102.144 * [backup-simplify]: Simplify (+ 1 0) into 1 102.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.146 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.146 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.146 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.146 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.146 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.146 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.146 * [taylor]: Taking taylor expansion of 1/2 in k 102.146 * [backup-simplify]: Simplify 1/2 into 1/2 102.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.147 * [taylor]: Taking taylor expansion of k in k 102.147 * [backup-simplify]: Simplify 0 into 0 102.147 * [backup-simplify]: Simplify 1 into 1 102.147 * [backup-simplify]: Simplify (/ 1 1) into 1 102.147 * [taylor]: Taking taylor expansion of 1 in k 102.147 * [backup-simplify]: Simplify 1 into 1 102.147 * [taylor]: Taking taylor expansion of (log PI) in k 102.147 * [taylor]: Taking taylor expansion of PI in k 102.147 * [backup-simplify]: Simplify PI into PI 102.147 * [backup-simplify]: Simplify (log PI) into (log PI) 102.148 * [backup-simplify]: Simplify (+ 1 0) into 1 102.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.149 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.150 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.151 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.152 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.152 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.152 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.152 * [taylor]: Taking taylor expansion of -1 in k 102.152 * [backup-simplify]: Simplify -1 into -1 102.152 * [taylor]: Taking taylor expansion of k in k 102.152 * [backup-simplify]: Simplify 0 into 0 102.152 * [backup-simplify]: Simplify 1 into 1 102.153 * [backup-simplify]: Simplify (/ -1 1) into -1 102.153 * [backup-simplify]: Simplify (sqrt 0) into 0 102.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.154 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.154 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.154 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.154 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.154 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.154 * [taylor]: Taking taylor expansion of 1/2 in k 102.154 * [backup-simplify]: Simplify 1/2 into 1/2 102.154 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.155 * [taylor]: Taking taylor expansion of k in k 102.155 * [backup-simplify]: Simplify 0 into 0 102.155 * [backup-simplify]: Simplify 1 into 1 102.155 * [backup-simplify]: Simplify (/ 1 1) into 1 102.155 * [taylor]: Taking taylor expansion of 1 in k 102.155 * [backup-simplify]: Simplify 1 into 1 102.155 * [taylor]: Taking taylor expansion of (log 2) in k 102.155 * [taylor]: Taking taylor expansion of 2 in k 102.155 * [backup-simplify]: Simplify 2 into 2 102.155 * [backup-simplify]: Simplify (log 2) into (log 2) 102.156 * [backup-simplify]: Simplify (+ 1 0) into 1 102.156 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.157 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.158 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.158 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.158 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.158 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.158 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.158 * [taylor]: Taking taylor expansion of 1/2 in k 102.158 * [backup-simplify]: Simplify 1/2 into 1/2 102.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.158 * [taylor]: Taking taylor expansion of k in k 102.158 * [backup-simplify]: Simplify 0 into 0 102.158 * [backup-simplify]: Simplify 1 into 1 102.159 * [backup-simplify]: Simplify (/ 1 1) into 1 102.159 * [taylor]: Taking taylor expansion of 1 in k 102.159 * [backup-simplify]: Simplify 1 into 1 102.159 * [taylor]: Taking taylor expansion of (log PI) in k 102.159 * [taylor]: Taking taylor expansion of PI in k 102.159 * [backup-simplify]: Simplify PI into PI 102.159 * [backup-simplify]: Simplify (log PI) into (log PI) 102.160 * [backup-simplify]: Simplify (+ 1 0) into 1 102.160 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.161 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.162 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.163 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.164 * [backup-simplify]: Simplify (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.166 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.167 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 102.168 * [backup-simplify]: Simplify (- (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (+ (* (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.169 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.173 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 102.176 * [backup-simplify]: Simplify (- (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (+ (* (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) (/ 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.177 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) 102.179 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) (/ 1 (- k))) (/ +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 102.179 * * * * [progress]: [ 4 / 4 ] generating series at (2) 102.179 * [backup-simplify]: Simplify (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) into (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) 102.179 * [approximate]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in (n k) around 0 102.179 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in k 102.179 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in k 102.179 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k 102.179 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k 102.179 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k 102.179 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.179 * [taylor]: Taking taylor expansion of 1/2 in k 102.179 * [backup-simplify]: Simplify 1/2 into 1/2 102.179 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.180 * [taylor]: Taking taylor expansion of 1 in k 102.180 * [backup-simplify]: Simplify 1 into 1 102.180 * [taylor]: Taking taylor expansion of k in k 102.180 * [backup-simplify]: Simplify 0 into 0 102.180 * [backup-simplify]: Simplify 1 into 1 102.180 * [taylor]: Taking taylor expansion of (log 2) in k 102.180 * [taylor]: Taking taylor expansion of 2 in k 102.180 * [backup-simplify]: Simplify 2 into 2 102.180 * [backup-simplify]: Simplify (log 2) into (log 2) 102.180 * [backup-simplify]: Simplify (- 0) into 0 102.180 * [backup-simplify]: Simplify (+ 1 0) into 1 102.181 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.181 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.182 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 102.182 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in k 102.182 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k 102.182 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k 102.182 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k 102.182 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.182 * [taylor]: Taking taylor expansion of 1/2 in k 102.182 * [backup-simplify]: Simplify 1/2 into 1/2 102.182 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.182 * [taylor]: Taking taylor expansion of 1 in k 102.182 * [backup-simplify]: Simplify 1 into 1 102.182 * [taylor]: Taking taylor expansion of k in k 102.182 * [backup-simplify]: Simplify 0 into 0 102.182 * [backup-simplify]: Simplify 1 into 1 102.182 * [taylor]: Taking taylor expansion of (log PI) in k 102.183 * [taylor]: Taking taylor expansion of PI in k 102.183 * [backup-simplify]: Simplify PI into PI 102.183 * [backup-simplify]: Simplify (log PI) into (log PI) 102.183 * [backup-simplify]: Simplify (- 0) into 0 102.184 * [backup-simplify]: Simplify (+ 1 0) into 1 102.184 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.185 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.186 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 102.187 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k 102.187 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k 102.187 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k 102.187 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 102.187 * [taylor]: Taking taylor expansion of 1/2 in k 102.187 * [backup-simplify]: Simplify 1/2 into 1/2 102.187 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.187 * [taylor]: Taking taylor expansion of 1 in k 102.187 * [backup-simplify]: Simplify 1 into 1 102.187 * [taylor]: Taking taylor expansion of k in k 102.187 * [backup-simplify]: Simplify 0 into 0 102.187 * [backup-simplify]: Simplify 1 into 1 102.187 * [taylor]: Taking taylor expansion of (log n) in k 102.187 * [taylor]: Taking taylor expansion of n in k 102.187 * [backup-simplify]: Simplify n into n 102.187 * [backup-simplify]: Simplify (log n) into (log n) 102.187 * [backup-simplify]: Simplify (- 0) into 0 102.188 * [backup-simplify]: Simplify (+ 1 0) into 1 102.188 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.188 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 102.188 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 102.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.188 * [taylor]: Taking taylor expansion of k in k 102.188 * [backup-simplify]: Simplify 0 into 0 102.188 * [backup-simplify]: Simplify 1 into 1 102.189 * [backup-simplify]: Simplify (/ 1 1) into 1 102.189 * [backup-simplify]: Simplify (sqrt 0) into 0 102.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.191 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 102.191 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 102.191 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 102.191 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 102.191 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 102.191 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.191 * [taylor]: Taking taylor expansion of 1/2 in n 102.191 * [backup-simplify]: Simplify 1/2 into 1/2 102.191 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.191 * [taylor]: Taking taylor expansion of 1 in n 102.191 * [backup-simplify]: Simplify 1 into 1 102.191 * [taylor]: Taking taylor expansion of k in n 102.191 * [backup-simplify]: Simplify k into k 102.191 * [taylor]: Taking taylor expansion of (log 2) in n 102.191 * [taylor]: Taking taylor expansion of 2 in n 102.191 * [backup-simplify]: Simplify 2 into 2 102.191 * [backup-simplify]: Simplify (log 2) into (log 2) 102.191 * [backup-simplify]: Simplify (- k) into (- k) 102.191 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.192 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.192 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 102.192 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 102.193 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 102.193 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 102.193 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 102.193 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 102.193 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.193 * [taylor]: Taking taylor expansion of 1/2 in n 102.193 * [backup-simplify]: Simplify 1/2 into 1/2 102.193 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.193 * [taylor]: Taking taylor expansion of 1 in n 102.193 * [backup-simplify]: Simplify 1 into 1 102.193 * [taylor]: Taking taylor expansion of k in n 102.193 * [backup-simplify]: Simplify k into k 102.193 * [taylor]: Taking taylor expansion of (log PI) in n 102.193 * [taylor]: Taking taylor expansion of PI in n 102.193 * [backup-simplify]: Simplify PI into PI 102.193 * [backup-simplify]: Simplify (log PI) into (log PI) 102.193 * [backup-simplify]: Simplify (- k) into (- k) 102.193 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.193 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.194 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 102.194 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 102.194 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 102.194 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 102.194 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 102.195 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.195 * [taylor]: Taking taylor expansion of 1/2 in n 102.195 * [backup-simplify]: Simplify 1/2 into 1/2 102.195 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.195 * [taylor]: Taking taylor expansion of 1 in n 102.195 * [backup-simplify]: Simplify 1 into 1 102.195 * [taylor]: Taking taylor expansion of k in n 102.195 * [backup-simplify]: Simplify k into k 102.195 * [taylor]: Taking taylor expansion of (log n) in n 102.195 * [taylor]: Taking taylor expansion of n in n 102.195 * [backup-simplify]: Simplify 0 into 0 102.195 * [backup-simplify]: Simplify 1 into 1 102.195 * [backup-simplify]: Simplify (log 1) into 0 102.195 * [backup-simplify]: Simplify (- k) into (- k) 102.195 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.195 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.196 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.196 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 102.196 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 102.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.196 * [taylor]: Taking taylor expansion of k in n 102.196 * [backup-simplify]: Simplify k into k 102.196 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.196 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.197 * [taylor]: Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) (sqrt (/ 1 k))) in n 102.197 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k))))) in n 102.197 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in n 102.197 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in n 102.197 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in n 102.197 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.197 * [taylor]: Taking taylor expansion of 1/2 in n 102.197 * [backup-simplify]: Simplify 1/2 into 1/2 102.197 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.197 * [taylor]: Taking taylor expansion of 1 in n 102.197 * [backup-simplify]: Simplify 1 into 1 102.197 * [taylor]: Taking taylor expansion of k in n 102.197 * [backup-simplify]: Simplify k into k 102.197 * [taylor]: Taking taylor expansion of (log 2) in n 102.197 * [taylor]: Taking taylor expansion of 2 in n 102.197 * [backup-simplify]: Simplify 2 into 2 102.197 * [backup-simplify]: Simplify (log 2) into (log 2) 102.197 * [backup-simplify]: Simplify (- k) into (- k) 102.197 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.198 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.198 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log 2)) into (* 1/2 (* (- 1 k) (log 2))) 102.198 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log 2)))) into (exp (* 1/2 (* (- 1 k) (log 2)))) 102.198 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 k))) (pow n (* 1/2 (- 1 k)))) in n 102.198 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in n 102.198 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in n 102.199 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in n 102.199 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.199 * [taylor]: Taking taylor expansion of 1/2 in n 102.199 * [backup-simplify]: Simplify 1/2 into 1/2 102.199 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.199 * [taylor]: Taking taylor expansion of 1 in n 102.199 * [backup-simplify]: Simplify 1 into 1 102.199 * [taylor]: Taking taylor expansion of k in n 102.199 * [backup-simplify]: Simplify k into k 102.199 * [taylor]: Taking taylor expansion of (log PI) in n 102.199 * [taylor]: Taking taylor expansion of PI in n 102.199 * [backup-simplify]: Simplify PI into PI 102.199 * [backup-simplify]: Simplify (log PI) into (log PI) 102.199 * [backup-simplify]: Simplify (- k) into (- k) 102.199 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.199 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.200 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI))) 102.200 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI)))) 102.200 * [taylor]: Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n 102.200 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n 102.200 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n 102.200 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 102.201 * [taylor]: Taking taylor expansion of 1/2 in n 102.201 * [backup-simplify]: Simplify 1/2 into 1/2 102.201 * [taylor]: Taking taylor expansion of (- 1 k) in n 102.201 * [taylor]: Taking taylor expansion of 1 in n 102.201 * [backup-simplify]: Simplify 1 into 1 102.201 * [taylor]: Taking taylor expansion of k in n 102.201 * [backup-simplify]: Simplify k into k 102.201 * [taylor]: Taking taylor expansion of (log n) in n 102.201 * [taylor]: Taking taylor expansion of n in n 102.201 * [backup-simplify]: Simplify 0 into 0 102.201 * [backup-simplify]: Simplify 1 into 1 102.202 * [backup-simplify]: Simplify (log 1) into 0 102.202 * [backup-simplify]: Simplify (- k) into (- k) 102.202 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k) 102.202 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 102.202 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.202 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n))) 102.202 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n)))) 102.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 102.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.203 * [taylor]: Taking taylor expansion of k in n 102.203 * [backup-simplify]: Simplify k into k 102.203 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.203 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 102.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 102.204 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) 102.205 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) into (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 102.206 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) into (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) 102.206 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) (sqrt (/ 1 k))) in k 102.206 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) in k 102.206 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log 2)))) in k 102.206 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log 2))) in k 102.206 * [taylor]: Taking taylor expansion of 1/2 in k 102.206 * [backup-simplify]: Simplify 1/2 into 1/2 102.206 * [taylor]: Taking taylor expansion of (* (- 1 k) (log 2)) in k 102.206 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.206 * [taylor]: Taking taylor expansion of 1 in k 102.206 * [backup-simplify]: Simplify 1 into 1 102.206 * [taylor]: Taking taylor expansion of k in k 102.206 * [backup-simplify]: Simplify 0 into 0 102.206 * [backup-simplify]: Simplify 1 into 1 102.206 * [taylor]: Taking taylor expansion of (log 2) in k 102.206 * [taylor]: Taking taylor expansion of 2 in k 102.206 * [backup-simplify]: Simplify 2 into 2 102.206 * [backup-simplify]: Simplify (log 2) into (log 2) 102.207 * [backup-simplify]: Simplify (- 0) into 0 102.207 * [backup-simplify]: Simplify (+ 1 0) into 1 102.207 * [backup-simplify]: Simplify (* 1 (log 2)) into (log 2) 102.208 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.209 * [backup-simplify]: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 102.209 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))) in k 102.209 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k 102.209 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k 102.209 * [taylor]: Taking taylor expansion of 1/2 in k 102.209 * [backup-simplify]: Simplify 1/2 into 1/2 102.209 * [taylor]: Taking taylor expansion of (* (- 1 k) (log PI)) in k 102.209 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.209 * [taylor]: Taking taylor expansion of 1 in k 102.209 * [backup-simplify]: Simplify 1 into 1 102.209 * [taylor]: Taking taylor expansion of k in k 102.209 * [backup-simplify]: Simplify 0 into 0 102.209 * [backup-simplify]: Simplify 1 into 1 102.209 * [taylor]: Taking taylor expansion of (log PI) in k 102.209 * [taylor]: Taking taylor expansion of PI in k 102.209 * [backup-simplify]: Simplify PI into PI 102.209 * [backup-simplify]: Simplify (log PI) into (log PI) 102.210 * [backup-simplify]: Simplify (- 0) into 0 102.210 * [backup-simplify]: Simplify (+ 1 0) into 1 102.211 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 102.211 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.212 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 102.212 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k 102.212 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k 102.212 * [taylor]: Taking taylor expansion of 1/2 in k 102.212 * [backup-simplify]: Simplify 1/2 into 1/2 102.212 * [taylor]: Taking taylor expansion of (* (- 1 k) (log n)) in k 102.212 * [taylor]: Taking taylor expansion of (- 1 k) in k 102.212 * [taylor]: Taking taylor expansion of 1 in k 102.212 * [backup-simplify]: Simplify 1 into 1 102.212 * [taylor]: Taking taylor expansion of k in k 102.212 * [backup-simplify]: Simplify 0 into 0 102.212 * [backup-simplify]: Simplify 1 into 1 102.212 * [taylor]: Taking taylor expansion of (log n) in k 102.212 * [taylor]: Taking taylor expansion of n in k 102.212 * [backup-simplify]: Simplify n into n 102.212 * [backup-simplify]: Simplify (log n) into (log n) 102.212 * [backup-simplify]: Simplify (- 0) into 0 102.213 * [backup-simplify]: Simplify (+ 1 0) into 1 102.213 * [backup-simplify]: Simplify (* 1 (log n)) into (log n) 102.213 * [backup-simplify]: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 102.213 * [backup-simplify]: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 102.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 102.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.213 * [taylor]: Taking taylor expansion of k in k 102.213 * [backup-simplify]: Simplify 0 into 0 102.213 * [backup-simplify]: Simplify 1 into 1 102.213 * [backup-simplify]: Simplify (/ 1 1) into 1 102.213 * [backup-simplify]: Simplify (sqrt 0) into 0 102.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.215 * [backup-simplify]: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 102.215 * [backup-simplify]: Simplify (* (pow 2 1/2) (sqrt (* n PI))) into (sqrt (* PI (* n 2))) 102.215 * [backup-simplify]: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 102.215 * [backup-simplify]: Simplify 0 into 0 102.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 102.216 * [backup-simplify]: Simplify (- 0) into 0 102.216 * [backup-simplify]: Simplify (+ 0 0) into 0 102.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.217 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.217 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0 102.218 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.219 * [backup-simplify]: Simplify (- 0) into 0 102.219 * [backup-simplify]: Simplify (+ 0 0) into 0 102.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.220 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0 102.220 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.221 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))) into 0 102.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.223 * [backup-simplify]: Simplify (- 0) into 0 102.223 * [backup-simplify]: Simplify (+ 0 0) into 0 102.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 102.224 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log 2))) into 0 102.225 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.225 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 102.226 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 102.226 * [taylor]: Taking taylor expansion of 0 in k 102.226 * [backup-simplify]: Simplify 0 into 0 102.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 102.227 * [backup-simplify]: Simplify (- 1) into -1 102.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.228 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n)) 102.228 * [backup-simplify]: Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n))) 102.228 * [backup-simplify]: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 102.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.233 * [backup-simplify]: Simplify (- 1) into -1 102.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.236 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI)) 102.239 * [backup-simplify]: Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI))) 102.248 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 102.251 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 102.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.252 * [backup-simplify]: Simplify (- 1) into -1 102.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.254 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (log 2))) into (- (log 2)) 102.255 * [backup-simplify]: Simplify (+ (* 1/2 (- (log 2))) (* 0 (log 2))) into (- (* 1/2 (log 2))) 102.260 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 102.263 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/2 (* (log 2) (sqrt 2))) (sqrt (* n PI)))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 102.266 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 102.266 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 102.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 102.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.269 * [backup-simplify]: Simplify (- 0) into 0 102.269 * [backup-simplify]: Simplify (+ 0 0) into 0 102.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.270 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.270 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 102.271 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.275 * [backup-simplify]: Simplify (- 0) into 0 102.275 * [backup-simplify]: Simplify (+ 0 0) into 0 102.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.277 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.278 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.279 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n))))))) into 0 102.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.283 * [backup-simplify]: Simplify (- 0) into 0 102.283 * [backup-simplify]: Simplify (+ 0 0) into 0 102.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 102.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.287 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.288 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 102.290 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 102.290 * [taylor]: Taking taylor expansion of 0 in k 102.290 * [backup-simplify]: Simplify 0 into 0 102.290 * [backup-simplify]: Simplify 0 into 0 102.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.294 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 102.296 * [backup-simplify]: Simplify (- 0) into 0 102.296 * [backup-simplify]: Simplify (+ 0 0) into 0 102.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0 102.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0 102.298 * [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))) 102.301 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.302 * [backup-simplify]: Simplify (- 0) into 0 102.302 * [backup-simplify]: Simplify (+ 0 0) into 0 102.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0 102.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0 102.310 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 102.314 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 102.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.315 * [backup-simplify]: Simplify (- 0) into 0 102.316 * [backup-simplify]: Simplify (+ 0 0) into 0 102.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log 2)))) into 0 102.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (log 2))) (* 0 (log 2)))) into 0 102.324 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 102.329 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (sqrt (* n PI))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 102.350 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (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 PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 102.355 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 102.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 102.362 * [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 0 102.362 * [backup-simplify]: Simplify (- 0) into 0 102.363 * [backup-simplify]: Simplify (+ 0 0) into 0 102.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.364 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 102.365 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 102.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.373 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.373 * [backup-simplify]: Simplify (- 0) into 0 102.374 * [backup-simplify]: Simplify (+ 0 0) into 0 102.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.376 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.378 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.380 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 k) (log n)))))))) into 0 102.383 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.384 * [backup-simplify]: Simplify (- 0) into 0 102.384 * [backup-simplify]: Simplify (+ 0 0) into 0 102.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0 102.385 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.387 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (log 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.388 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (log 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n))))))))) into 0 102.389 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 k) (log 2)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (exp (* 1/2 (* (- 1 k) (log n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 102.389 * [taylor]: Taking taylor expansion of 0 in k 102.389 * [backup-simplify]: Simplify 0 into 0 102.389 * [backup-simplify]: Simplify 0 into 0 102.389 * [backup-simplify]: Simplify 0 into 0 102.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.394 * [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 0 102.394 * [backup-simplify]: Simplify (- 0) into 0 102.394 * [backup-simplify]: Simplify (+ 0 0) into 0 102.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log n))))) into 0 102.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log n))) (* 0 (log n))))) into 0 102.396 * [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))) 102.399 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.400 * [backup-simplify]: Simplify (- 0) into 0 102.400 * [backup-simplify]: Simplify (+ 0 0) into 0 102.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0 102.410 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 102.421 * [backup-simplify]: Simplify (+ (* (pow PI 1/2) (* -1/48 (* (sqrt n) (pow (log n) 3)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow n 1/2))))) into (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n)))))))) 102.426 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.427 * [backup-simplify]: Simplify (- 0) into 0 102.427 * [backup-simplify]: Simplify (+ 0 0) into 0 102.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log 2))) (* 0 (log 2))))) into 0 102.446 * [backup-simplify]: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 102.456 * [backup-simplify]: Simplify (+ (* (pow 2 1/2) (- (+ (* 1/48 (* (pow (log PI) 3) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log PI) 2) (log n)) (sqrt (* PI n)))) (+ (* 1/48 (* (sqrt (* n PI)) (pow (log n) 3))) (* 1/16 (* (* (log PI) (pow (log n) 2)) (sqrt (* PI n))))))))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (sqrt (* n PI)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 102.485 * [backup-simplify]: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (+ (* 1/2 (* (* (log 2) (sqrt 2)) (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 PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 102.497 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 102.513 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 102.514 * [backup-simplify]: Simplify (/ (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) (/ (sqrt (/ 1 k)) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2))))) into (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) 102.514 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in (n k) around 0 102.514 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in k 102.514 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in k 102.514 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k 102.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k 102.514 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k 102.514 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.514 * [taylor]: Taking taylor expansion of 1/2 in k 102.514 * [backup-simplify]: Simplify 1/2 into 1/2 102.514 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.514 * [taylor]: Taking taylor expansion of 1 in k 102.514 * [backup-simplify]: Simplify 1 into 1 102.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.514 * [taylor]: Taking taylor expansion of k in k 102.514 * [backup-simplify]: Simplify 0 into 0 102.514 * [backup-simplify]: Simplify 1 into 1 102.514 * [backup-simplify]: Simplify (/ 1 1) into 1 102.514 * [taylor]: Taking taylor expansion of (log PI) in k 102.514 * [taylor]: Taking taylor expansion of PI in k 102.514 * [backup-simplify]: Simplify PI into PI 102.515 * [backup-simplify]: Simplify (log PI) into (log PI) 102.515 * [backup-simplify]: Simplify (- 1) into -1 102.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.516 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.516 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 102.516 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.516 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in k 102.516 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k 102.516 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k 102.517 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k 102.517 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.517 * [taylor]: Taking taylor expansion of 1/2 in k 102.517 * [backup-simplify]: Simplify 1/2 into 1/2 102.517 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.517 * [taylor]: Taking taylor expansion of 1 in k 102.517 * [backup-simplify]: Simplify 1 into 1 102.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.517 * [taylor]: Taking taylor expansion of k in k 102.517 * [backup-simplify]: Simplify 0 into 0 102.517 * [backup-simplify]: Simplify 1 into 1 102.517 * [backup-simplify]: Simplify (/ 1 1) into 1 102.517 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 102.517 * [taylor]: Taking taylor expansion of (/ 1 n) in k 102.517 * [taylor]: Taking taylor expansion of n in k 102.517 * [backup-simplify]: Simplify n into n 102.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 102.517 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 102.517 * [backup-simplify]: Simplify (- 1) into -1 102.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.518 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.518 * [backup-simplify]: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 102.518 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n))))) 102.518 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k 102.518 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k 102.518 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k 102.518 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 102.518 * [taylor]: Taking taylor expansion of 1/2 in k 102.518 * [backup-simplify]: Simplify 1/2 into 1/2 102.518 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.518 * [taylor]: Taking taylor expansion of 1 in k 102.518 * [backup-simplify]: Simplify 1 into 1 102.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.518 * [taylor]: Taking taylor expansion of k in k 102.518 * [backup-simplify]: Simplify 0 into 0 102.518 * [backup-simplify]: Simplify 1 into 1 102.518 * [backup-simplify]: Simplify (/ 1 1) into 1 102.518 * [taylor]: Taking taylor expansion of (log 2) in k 102.519 * [taylor]: Taking taylor expansion of 2 in k 102.519 * [backup-simplify]: Simplify 2 into 2 102.519 * [backup-simplify]: Simplify (log 2) into (log 2) 102.519 * [backup-simplify]: Simplify (- 1) into -1 102.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.520 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2 102.520 * [backup-simplify]: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 102.520 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.520 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.520 * [taylor]: Taking taylor expansion of k in k 102.521 * [backup-simplify]: Simplify 0 into 0 102.521 * [backup-simplify]: Simplify 1 into 1 102.521 * [backup-simplify]: Simplify (sqrt 0) into 0 102.522 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.522 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 102.522 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 102.522 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 102.522 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 102.522 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 102.522 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.522 * [taylor]: Taking taylor expansion of 1/2 in n 102.522 * [backup-simplify]: Simplify 1/2 into 1/2 102.522 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.522 * [taylor]: Taking taylor expansion of 1 in n 102.522 * [backup-simplify]: Simplify 1 into 1 102.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.522 * [taylor]: Taking taylor expansion of k in n 102.522 * [backup-simplify]: Simplify k into k 102.522 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.522 * [taylor]: Taking taylor expansion of (log PI) in n 102.522 * [taylor]: Taking taylor expansion of PI in n 102.522 * [backup-simplify]: Simplify PI into PI 102.522 * [backup-simplify]: Simplify (log PI) into (log PI) 102.522 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.522 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.523 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.523 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 102.523 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.523 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 102.523 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 102.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 102.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 102.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.523 * [taylor]: Taking taylor expansion of 1/2 in n 102.523 * [backup-simplify]: Simplify 1/2 into 1/2 102.523 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.523 * [taylor]: Taking taylor expansion of 1 in n 102.523 * [backup-simplify]: Simplify 1 into 1 102.523 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.523 * [taylor]: Taking taylor expansion of k in n 102.523 * [backup-simplify]: Simplify k into k 102.523 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.523 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 102.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 102.523 * [taylor]: Taking taylor expansion of n in n 102.523 * [backup-simplify]: Simplify 0 into 0 102.523 * [backup-simplify]: Simplify 1 into 1 102.524 * [backup-simplify]: Simplify (/ 1 1) into 1 102.524 * [backup-simplify]: Simplify (log 1) into 0 102.524 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.524 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.524 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.525 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 102.525 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.525 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 102.525 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 102.525 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 102.525 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.525 * [taylor]: Taking taylor expansion of 1/2 in n 102.525 * [backup-simplify]: Simplify 1/2 into 1/2 102.525 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.525 * [taylor]: Taking taylor expansion of 1 in n 102.525 * [backup-simplify]: Simplify 1 into 1 102.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.525 * [taylor]: Taking taylor expansion of k in n 102.525 * [backup-simplify]: Simplify k into k 102.525 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.525 * [taylor]: Taking taylor expansion of (log 2) in n 102.525 * [taylor]: Taking taylor expansion of 2 in n 102.525 * [backup-simplify]: Simplify 2 into 2 102.525 * [backup-simplify]: Simplify (log 2) into (log 2) 102.525 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.525 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.525 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.526 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 102.526 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.526 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.526 * [taylor]: Taking taylor expansion of k in n 102.526 * [backup-simplify]: Simplify k into k 102.526 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.526 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) (sqrt k)) in n 102.526 * [taylor]: Taking taylor expansion of (* (pow PI (* 1/2 (- 1 (/ 1 k)))) (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k)))))) in n 102.526 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in n 102.526 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in n 102.526 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in n 102.526 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.526 * [taylor]: Taking taylor expansion of 1/2 in n 102.526 * [backup-simplify]: Simplify 1/2 into 1/2 102.526 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.526 * [taylor]: Taking taylor expansion of 1 in n 102.526 * [backup-simplify]: Simplify 1 into 1 102.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.526 * [taylor]: Taking taylor expansion of k in n 102.526 * [backup-simplify]: Simplify k into k 102.526 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.526 * [taylor]: Taking taylor expansion of (log PI) in n 102.526 * [taylor]: Taking taylor expansion of PI in n 102.526 * [backup-simplify]: Simplify PI into PI 102.527 * [backup-simplify]: Simplify (log PI) into (log PI) 102.527 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.527 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.527 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.527 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI))) 102.527 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.527 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) (pow 2 (* 1/2 (- 1 (/ 1 k))))) in n 102.528 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n 102.528 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n 102.528 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n 102.528 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.528 * [taylor]: Taking taylor expansion of 1/2 in n 102.528 * [backup-simplify]: Simplify 1/2 into 1/2 102.528 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.528 * [taylor]: Taking taylor expansion of 1 in n 102.528 * [backup-simplify]: Simplify 1 into 1 102.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.528 * [taylor]: Taking taylor expansion of k in n 102.528 * [backup-simplify]: Simplify k into k 102.528 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.528 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 102.528 * [taylor]: Taking taylor expansion of (/ 1 n) in n 102.528 * [taylor]: Taking taylor expansion of n in n 102.528 * [backup-simplify]: Simplify 0 into 0 102.528 * [backup-simplify]: Simplify 1 into 1 102.528 * [backup-simplify]: Simplify (/ 1 1) into 1 102.528 * [backup-simplify]: Simplify (log 1) into 0 102.528 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.528 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.528 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.529 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.529 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n))) 102.529 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.529 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in n 102.529 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in n 102.529 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in n 102.529 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 102.529 * [taylor]: Taking taylor expansion of 1/2 in n 102.529 * [backup-simplify]: Simplify 1/2 into 1/2 102.529 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 102.529 * [taylor]: Taking taylor expansion of 1 in n 102.529 * [backup-simplify]: Simplify 1 into 1 102.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.529 * [taylor]: Taking taylor expansion of k in n 102.529 * [backup-simplify]: Simplify k into k 102.529 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.529 * [taylor]: Taking taylor expansion of (log 2) in n 102.529 * [taylor]: Taking taylor expansion of 2 in n 102.529 * [backup-simplify]: Simplify 2 into 2 102.529 * [backup-simplify]: Simplify (log 2) into (log 2) 102.529 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 102.530 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 102.530 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 102.530 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (log 2)) into (* 1/2 (* (log 2) (- 1 (/ 1 k)))) 102.530 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.530 * [taylor]: Taking taylor expansion of (sqrt k) in n 102.530 * [taylor]: Taking taylor expansion of k in n 102.530 * [backup-simplify]: Simplify k into k 102.530 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 102.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 102.531 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 102.531 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.532 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) 102.532 * [taylor]: Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) (sqrt k)) in k 102.532 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) in k 102.532 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k 102.532 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k 102.532 * [taylor]: Taking taylor expansion of 1/2 in k 102.532 * [backup-simplify]: Simplify 1/2 into 1/2 102.532 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k 102.532 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.532 * [taylor]: Taking taylor expansion of 1 in k 102.532 * [backup-simplify]: Simplify 1 into 1 102.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.532 * [taylor]: Taking taylor expansion of k in k 102.532 * [backup-simplify]: Simplify 0 into 0 102.532 * [backup-simplify]: Simplify 1 into 1 102.533 * [backup-simplify]: Simplify (/ 1 1) into 1 102.533 * [taylor]: Taking taylor expansion of (log PI) in k 102.533 * [taylor]: Taking taylor expansion of PI in k 102.533 * [backup-simplify]: Simplify PI into PI 102.533 * [backup-simplify]: Simplify (log PI) into (log PI) 102.533 * [backup-simplify]: Simplify (- 1) into -1 102.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.537 * [backup-simplify]: Simplify (* -1 (log PI)) into (* -1 (log PI)) 102.539 * [backup-simplify]: Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI)) 102.539 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 102.539 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) in k 102.539 * [taylor]: Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k 102.539 * [taylor]: Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k 102.539 * [taylor]: Taking taylor expansion of -1/2 in k 102.539 * [backup-simplify]: Simplify -1/2 into -1/2 102.539 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k 102.539 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.539 * [taylor]: Taking taylor expansion of 1 in k 102.539 * [backup-simplify]: Simplify 1 into 1 102.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.539 * [taylor]: Taking taylor expansion of k in k 102.539 * [backup-simplify]: Simplify 0 into 0 102.539 * [backup-simplify]: Simplify 1 into 1 102.540 * [backup-simplify]: Simplify (/ 1 1) into 1 102.540 * [taylor]: Taking taylor expansion of (log n) in k 102.540 * [taylor]: Taking taylor expansion of n in k 102.540 * [backup-simplify]: Simplify n into n 102.540 * [backup-simplify]: Simplify (log n) into (log n) 102.540 * [backup-simplify]: Simplify (- 1) into -1 102.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.540 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 102.540 * [backup-simplify]: Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n)) 102.540 * [backup-simplify]: Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 102.541 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) in k 102.541 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (- 1 (/ 1 k)))) in k 102.541 * [taylor]: Taking taylor expansion of 1/2 in k 102.541 * [backup-simplify]: Simplify 1/2 into 1/2 102.541 * [taylor]: Taking taylor expansion of (* (log 2) (- 1 (/ 1 k))) in k 102.541 * [taylor]: Taking taylor expansion of (log 2) in k 102.541 * [taylor]: Taking taylor expansion of 2 in k 102.541 * [backup-simplify]: Simplify 2 into 2 102.541 * [backup-simplify]: Simplify (log 2) into (log 2) 102.541 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 102.541 * [taylor]: Taking taylor expansion of 1 in k 102.541 * [backup-simplify]: Simplify 1 into 1 102.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.541 * [taylor]: Taking taylor expansion of k in k 102.541 * [backup-simplify]: Simplify 0 into 0 102.541 * [backup-simplify]: Simplify 1 into 1 102.541 * [backup-simplify]: Simplify (/ 1 1) into 1 102.542 * [backup-simplify]: Simplify (- 1) into -1 102.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 102.543 * [backup-simplify]: Simplify (* (log 2) -1) into (* -1 (log 2)) 102.544 * [backup-simplify]: Simplify (* 1/2 (* -1 (log 2))) into (* -1/2 (log 2)) 102.544 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 102.544 * [taylor]: Taking taylor expansion of (sqrt k) in k 102.544 * [taylor]: Taking taylor expansion of k in k 102.544 * [backup-simplify]: Simplify 0 into 0 102.544 * [backup-simplify]: Simplify 1 into 1 102.545 * [backup-simplify]: Simplify (sqrt 0) into 0 102.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 102.546 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) into (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))) 102.546 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 102.547 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) into 0 102.547 * [backup-simplify]: Simplify 0 into 0 102.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.549 * [backup-simplify]: Simplify (- 0) into 0 102.549 * [backup-simplify]: Simplify (+ 0 0) into 0 102.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.550 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log 2))) into 0 102.550 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 102.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 102.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.552 * [backup-simplify]: Simplify (- 0) into 0 102.552 * [backup-simplify]: Simplify (+ 0 0) into 0 102.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.553 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 102.554 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.554 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 102.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.556 * [backup-simplify]: Simplify (- 0) into 0 102.556 * [backup-simplify]: Simplify (+ 0 0) into 0 102.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 102.557 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0 102.557 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.558 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 102.559 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (* 0 (sqrt k))) into 0 102.559 * [taylor]: Taking taylor expansion of 0 in k 102.559 * [backup-simplify]: Simplify 0 into 0 102.559 * [backup-simplify]: Simplify 0 into 0 102.559 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) into 0 102.560 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))) into 0 102.561 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.562 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 102.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.564 * [backup-simplify]: Simplify (- 0) into 0 102.564 * [backup-simplify]: Simplify (+ 0 0) into 0 102.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.565 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.566 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 102.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.569 * [backup-simplify]: Simplify (- 0) into 0 102.569 * [backup-simplify]: Simplify (+ 0 0) into 0 102.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.570 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 102.571 * [backup-simplify]: Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.572 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 102.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.574 * [backup-simplify]: Simplify (- 0) into 0 102.574 * [backup-simplify]: Simplify (+ 0 0) into 0 102.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 102.575 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.576 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.577 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 102.578 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 102.578 * [taylor]: Taking taylor expansion of 0 in k 102.578 * [backup-simplify]: Simplify 0 into 0 102.578 * [backup-simplify]: Simplify 0 into 0 102.578 * [backup-simplify]: Simplify 0 into 0 102.580 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.580 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into 0 102.581 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))))))) into 0 102.582 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.583 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 102.587 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 102.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.587 * [backup-simplify]: Simplify (- 0) into 0 102.587 * [backup-simplify]: Simplify (+ 0 0) into 0 102.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.589 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 102.590 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.596 * [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 0 102.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.597 * [backup-simplify]: Simplify (- 0) into 0 102.597 * [backup-simplify]: Simplify (+ 0 0) into 0 102.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 102.600 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 102.601 * [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 0 102.603 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 102.608 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 102.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.609 * [backup-simplify]: Simplify (- 0) into 0 102.609 * [backup-simplify]: Simplify (+ 0 0) into 0 102.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 102.612 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 102.614 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 102.616 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 102.618 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 102.618 * [taylor]: Taking taylor expansion of 0 in k 102.618 * [backup-simplify]: Simplify 0 into 0 102.618 * [backup-simplify]: Simplify 0 into 0 102.618 * [backup-simplify]: Simplify 0 into 0 102.618 * [backup-simplify]: Simplify 0 into 0 102.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.624 * [backup-simplify]: Simplify (+ (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into 0 102.625 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))))))) into 0 102.627 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.629 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))) 102.634 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k)))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 102.634 * [backup-simplify]: Simplify (/ (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) (/ (sqrt (/ 1 (- k))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2))))) into (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) 102.634 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in (n k) around 0 102.634 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in k 102.634 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in k 102.634 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k 102.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k 102.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k 102.634 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.634 * [taylor]: Taking taylor expansion of 1/2 in k 102.634 * [backup-simplify]: Simplify 1/2 into 1/2 102.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.635 * [taylor]: Taking taylor expansion of k in k 102.635 * [backup-simplify]: Simplify 0 into 0 102.635 * [backup-simplify]: Simplify 1 into 1 102.635 * [backup-simplify]: Simplify (/ 1 1) into 1 102.635 * [taylor]: Taking taylor expansion of 1 in k 102.635 * [backup-simplify]: Simplify 1 into 1 102.635 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 102.635 * [taylor]: Taking taylor expansion of (/ -1 n) in k 102.635 * [taylor]: Taking taylor expansion of -1 in k 102.635 * [backup-simplify]: Simplify -1 into -1 102.635 * [taylor]: Taking taylor expansion of n in k 102.635 * [backup-simplify]: Simplify n into n 102.635 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 102.635 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 102.636 * [backup-simplify]: Simplify (+ 1 0) into 1 102.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.636 * [backup-simplify]: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 102.636 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) 102.637 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k 102.637 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k 102.637 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k 102.637 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k 102.637 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.637 * [taylor]: Taking taylor expansion of 1/2 in k 102.637 * [backup-simplify]: Simplify 1/2 into 1/2 102.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.637 * [taylor]: Taking taylor expansion of k in k 102.637 * [backup-simplify]: Simplify 0 into 0 102.637 * [backup-simplify]: Simplify 1 into 1 102.637 * [backup-simplify]: Simplify (/ 1 1) into 1 102.637 * [taylor]: Taking taylor expansion of 1 in k 102.637 * [backup-simplify]: Simplify 1 into 1 102.637 * [taylor]: Taking taylor expansion of (log 2) in k 102.637 * [taylor]: Taking taylor expansion of 2 in k 102.637 * [backup-simplify]: Simplify 2 into 2 102.638 * [backup-simplify]: Simplify (log 2) into (log 2) 102.638 * [backup-simplify]: Simplify (+ 1 0) into 1 102.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.639 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.640 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.640 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k 102.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k 102.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k 102.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 102.640 * [taylor]: Taking taylor expansion of 1/2 in k 102.640 * [backup-simplify]: Simplify 1/2 into 1/2 102.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.640 * [taylor]: Taking taylor expansion of k in k 102.640 * [backup-simplify]: Simplify 0 into 0 102.640 * [backup-simplify]: Simplify 1 into 1 102.641 * [backup-simplify]: Simplify (/ 1 1) into 1 102.641 * [taylor]: Taking taylor expansion of 1 in k 102.641 * [backup-simplify]: Simplify 1 into 1 102.641 * [taylor]: Taking taylor expansion of (log PI) in k 102.641 * [taylor]: Taking taylor expansion of PI in k 102.641 * [backup-simplify]: Simplify PI into PI 102.641 * [backup-simplify]: Simplify (log PI) into (log PI) 102.642 * [backup-simplify]: Simplify (+ 1 0) into 1 102.642 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 102.651 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.651 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.651 * [taylor]: Taking taylor expansion of -1 in k 102.651 * [backup-simplify]: Simplify -1 into -1 102.652 * [taylor]: Taking taylor expansion of k in k 102.652 * [backup-simplify]: Simplify 0 into 0 102.652 * [backup-simplify]: Simplify 1 into 1 102.652 * [backup-simplify]: Simplify (/ -1 1) into -1 102.652 * [backup-simplify]: Simplify (sqrt 0) into 0 102.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.655 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.656 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) 102.657 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n))))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) 102.657 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 102.657 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 102.657 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 102.657 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 102.658 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 102.658 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.658 * [taylor]: Taking taylor expansion of 1/2 in n 102.658 * [backup-simplify]: Simplify 1/2 into 1/2 102.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.658 * [taylor]: Taking taylor expansion of k in n 102.658 * [backup-simplify]: Simplify k into k 102.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.658 * [taylor]: Taking taylor expansion of 1 in n 102.658 * [backup-simplify]: Simplify 1 into 1 102.658 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 102.658 * [taylor]: Taking taylor expansion of (/ -1 n) in n 102.658 * [taylor]: Taking taylor expansion of -1 in n 102.658 * [backup-simplify]: Simplify -1 into -1 102.658 * [taylor]: Taking taylor expansion of n in n 102.658 * [backup-simplify]: Simplify 0 into 0 102.658 * [backup-simplify]: Simplify 1 into 1 102.658 * [backup-simplify]: Simplify (/ -1 1) into -1 102.659 * [backup-simplify]: Simplify (log -1) into (log -1) 102.659 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.659 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.660 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 102.661 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.661 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 102.661 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 102.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 102.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 102.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.661 * [taylor]: Taking taylor expansion of 1/2 in n 102.661 * [backup-simplify]: Simplify 1/2 into 1/2 102.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.661 * [taylor]: Taking taylor expansion of k in n 102.661 * [backup-simplify]: Simplify k into k 102.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.661 * [taylor]: Taking taylor expansion of 1 in n 102.661 * [backup-simplify]: Simplify 1 into 1 102.661 * [taylor]: Taking taylor expansion of (log 2) in n 102.661 * [taylor]: Taking taylor expansion of 2 in n 102.661 * [backup-simplify]: Simplify 2 into 2 102.662 * [backup-simplify]: Simplify (log 2) into (log 2) 102.662 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.662 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.663 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 102.663 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.663 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 102.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 102.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 102.663 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.663 * [taylor]: Taking taylor expansion of 1/2 in n 102.663 * [backup-simplify]: Simplify 1/2 into 1/2 102.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.663 * [taylor]: Taking taylor expansion of k in n 102.663 * [backup-simplify]: Simplify k into k 102.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.663 * [taylor]: Taking taylor expansion of 1 in n 102.663 * [backup-simplify]: Simplify 1 into 1 102.663 * [taylor]: Taking taylor expansion of (log PI) in n 102.663 * [taylor]: Taking taylor expansion of PI in n 102.663 * [backup-simplify]: Simplify PI into PI 102.664 * [backup-simplify]: Simplify (log PI) into (log PI) 102.664 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.664 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.665 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 102.665 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.665 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.665 * [taylor]: Taking taylor expansion of -1 in n 102.665 * [backup-simplify]: Simplify -1 into -1 102.665 * [taylor]: Taking taylor expansion of k in n 102.665 * [backup-simplify]: Simplify k into k 102.665 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.665 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.665 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.666 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.667 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.668 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 102.668 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) (sqrt (/ -1 k))) in n 102.668 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1))))) in n 102.668 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n 102.668 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n 102.668 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n 102.668 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.669 * [taylor]: Taking taylor expansion of 1/2 in n 102.669 * [backup-simplify]: Simplify 1/2 into 1/2 102.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.669 * [taylor]: Taking taylor expansion of k in n 102.669 * [backup-simplify]: Simplify k into k 102.669 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.669 * [taylor]: Taking taylor expansion of 1 in n 102.669 * [backup-simplify]: Simplify 1 into 1 102.669 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 102.669 * [taylor]: Taking taylor expansion of (/ -1 n) in n 102.669 * [taylor]: Taking taylor expansion of -1 in n 102.669 * [backup-simplify]: Simplify -1 into -1 102.669 * [taylor]: Taking taylor expansion of n in n 102.669 * [backup-simplify]: Simplify 0 into 0 102.669 * [backup-simplify]: Simplify 1 into 1 102.669 * [backup-simplify]: Simplify (/ -1 1) into -1 102.669 * [backup-simplify]: Simplify (log -1) into (log -1) 102.669 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.669 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.670 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) 102.671 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.671 * [taylor]: Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in n 102.671 * [taylor]: Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in n 102.671 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in n 102.671 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in n 102.671 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.671 * [taylor]: Taking taylor expansion of 1/2 in n 102.671 * [backup-simplify]: Simplify 1/2 into 1/2 102.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.671 * [taylor]: Taking taylor expansion of k in n 102.671 * [backup-simplify]: Simplify k into k 102.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.671 * [taylor]: Taking taylor expansion of 1 in n 102.671 * [backup-simplify]: Simplify 1 into 1 102.671 * [taylor]: Taking taylor expansion of (log 2) in n 102.671 * [taylor]: Taking taylor expansion of 2 in n 102.671 * [backup-simplify]: Simplify 2 into 2 102.671 * [backup-simplify]: Simplify (log 2) into (log 2) 102.671 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.671 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.672 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) into (* 1/2 (* (log 2) (+ (/ 1 k) 1))) 102.672 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.672 * [taylor]: Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in n 102.672 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in n 102.672 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in n 102.672 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 102.672 * [taylor]: Taking taylor expansion of 1/2 in n 102.672 * [backup-simplify]: Simplify 1/2 into 1/2 102.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 102.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 102.672 * [taylor]: Taking taylor expansion of k in n 102.672 * [backup-simplify]: Simplify k into k 102.672 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 102.672 * [taylor]: Taking taylor expansion of 1 in n 102.672 * [backup-simplify]: Simplify 1 into 1 102.672 * [taylor]: Taking taylor expansion of (log PI) in n 102.672 * [taylor]: Taking taylor expansion of PI in n 102.672 * [backup-simplify]: Simplify PI into PI 102.672 * [backup-simplify]: Simplify (log PI) into (log PI) 102.673 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 102.673 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 102.673 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI))) 102.673 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.673 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 102.673 * [taylor]: Taking taylor expansion of (/ -1 k) in n 102.673 * [taylor]: Taking taylor expansion of -1 in n 102.673 * [backup-simplify]: Simplify -1 into -1 102.673 * [taylor]: Taking taylor expansion of k in n 102.673 * [backup-simplify]: Simplify k into k 102.673 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 102.673 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 102.674 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 102.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 102.674 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) 102.675 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.676 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) 102.676 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) in k 102.676 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) in k 102.676 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k 102.676 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k 102.676 * [taylor]: Taking taylor expansion of 1/2 in k 102.676 * [backup-simplify]: Simplify 1/2 into 1/2 102.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k 102.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.677 * [taylor]: Taking taylor expansion of k in k 102.677 * [backup-simplify]: Simplify 0 into 0 102.677 * [backup-simplify]: Simplify 1 into 1 102.677 * [backup-simplify]: Simplify (/ 1 1) into 1 102.677 * [taylor]: Taking taylor expansion of 1 in k 102.677 * [backup-simplify]: Simplify 1 into 1 102.677 * [taylor]: Taking taylor expansion of (log PI) in k 102.677 * [taylor]: Taking taylor expansion of PI in k 102.677 * [backup-simplify]: Simplify PI into PI 102.677 * [backup-simplify]: Simplify (log PI) into (log PI) 102.677 * [backup-simplify]: Simplify (+ 1 0) into 1 102.678 * [backup-simplify]: Simplify (* 1 (log PI)) into (log PI) 102.679 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 102.679 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 102.679 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) in k 102.679 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) in k 102.679 * [taylor]: Taking taylor expansion of (* 1/2 (* (log 2) (+ (/ 1 k) 1))) in k 102.679 * [taylor]: Taking taylor expansion of 1/2 in k 102.679 * [backup-simplify]: Simplify 1/2 into 1/2 102.679 * [taylor]: Taking taylor expansion of (* (log 2) (+ (/ 1 k) 1)) in k 102.679 * [taylor]: Taking taylor expansion of (log 2) in k 102.679 * [taylor]: Taking taylor expansion of 2 in k 102.679 * [backup-simplify]: Simplify 2 into 2 102.679 * [backup-simplify]: Simplify (log 2) into (log 2) 102.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.679 * [taylor]: Taking taylor expansion of k in k 102.679 * [backup-simplify]: Simplify 0 into 0 102.679 * [backup-simplify]: Simplify 1 into 1 102.680 * [backup-simplify]: Simplify (/ 1 1) into 1 102.680 * [taylor]: Taking taylor expansion of 1 in k 102.680 * [backup-simplify]: Simplify 1 into 1 102.680 * [backup-simplify]: Simplify (+ 1 0) into 1 102.680 * [backup-simplify]: Simplify (* (log 2) 1) into (log 2) 102.681 * [backup-simplify]: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 102.681 * [backup-simplify]: Simplify (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 102.681 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k 102.681 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k 102.681 * [taylor]: Taking taylor expansion of 1/2 in k 102.681 * [backup-simplify]: Simplify 1/2 into 1/2 102.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k 102.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 102.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 102.681 * [taylor]: Taking taylor expansion of k in k 102.681 * [backup-simplify]: Simplify 0 into 0 102.681 * [backup-simplify]: Simplify 1 into 1 102.682 * [backup-simplify]: Simplify (/ 1 1) into 1 102.682 * [taylor]: Taking taylor expansion of 1 in k 102.682 * [backup-simplify]: Simplify 1 into 1 102.682 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 102.682 * [taylor]: Taking taylor expansion of (log -1) in k 102.682 * [taylor]: Taking taylor expansion of -1 in k 102.682 * [backup-simplify]: Simplify -1 into -1 102.682 * [backup-simplify]: Simplify (log -1) into (log -1) 102.682 * [taylor]: Taking taylor expansion of (log n) in k 102.682 * [taylor]: Taking taylor expansion of n in k 102.682 * [backup-simplify]: Simplify n into n 102.682 * [backup-simplify]: Simplify (log n) into (log n) 102.682 * [backup-simplify]: Simplify (+ 1 0) into 1 102.683 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 102.683 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 102.683 * [backup-simplify]: Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n)) 102.683 * [backup-simplify]: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 102.684 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 102.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 102.684 * [taylor]: Taking taylor expansion of (/ -1 k) in k 102.684 * [taylor]: Taking taylor expansion of -1 in k 102.684 * [backup-simplify]: Simplify -1 into -1 102.684 * [taylor]: Taking taylor expansion of k in k 102.684 * [backup-simplify]: Simplify 0 into 0 102.684 * [backup-simplify]: Simplify 1 into 1 102.684 * [backup-simplify]: Simplify (/ -1 1) into -1 102.684 * [backup-simplify]: Simplify (sqrt 0) into 0 102.685 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 102.686 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) into (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))) 102.687 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) 102.688 * [backup-simplify]: Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 102.689 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) 102.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 102.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.690 * [backup-simplify]: Simplify (+ 0 0) into 0 102.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.691 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0 102.691 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 102.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.693 * [backup-simplify]: Simplify (+ 0 0) into 0 102.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.693 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log 2))) into 0 102.694 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 102.695 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0 102.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 102.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 102.698 * [backup-simplify]: Simplify (+ 0 0) into 0 102.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 102.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0 102.701 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 102.703 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into 0 102.704 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 102.704 * [taylor]: Taking taylor expansion of 0 in k 102.704 * [backup-simplify]: Simplify 0 into 0 102.704 * [backup-simplify]: Simplify 0 into 0 102.705 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) into 0 102.707 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 102.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 102.711 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 102.713 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.715 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.718 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 102.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.719 * [backup-simplify]: Simplify (+ 0 0) into 0 102.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.720 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 102.723 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 102.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.726 * [backup-simplify]: Simplify (+ 0 0) into 0 102.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 102.730 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.731 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0 102.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 102.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.736 * [backup-simplify]: Simplify (+ 0 0) into 0 102.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 102.738 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 102.739 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 102.741 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 102.743 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))) into 0 102.743 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 102.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 102.746 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 102.746 * [taylor]: Taking taylor expansion of 0 in k 102.746 * [backup-simplify]: Simplify 0 into 0 102.746 * [backup-simplify]: Simplify 0 into 0 102.746 * [backup-simplify]: Simplify 0 into 0 102.747 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) into 0 102.749 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into 0 102.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 102.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 102.759 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.761 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))))))) 102.767 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n)))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 102.767 * * * [progress]: simplifying candidates 102.767 * * * * [progress]: [ 1 / 287 ] simplifiying candidate # 102.767 * [simplify]: Simplifying (* (log n) (/ (- 1 k) 2)) 102.767 * * [simplify]: iters left: 6 (8 enodes) 102.772 * * [simplify]: iters left: 5 (35 enodes) 102.790 * * [simplify]: iters left: 4 (56 enodes) 102.807 * * [simplify]: iters left: 3 (70 enodes) 102.820 * * [simplify]: iters left: 2 (125 enodes) 102.844 * * [simplify]: iters left: 1 (158 enodes) 102.902 * * [simplify]: Extracting #0: cost 1 inf + 0 102.902 * * [simplify]: Extracting #1: cost 16 inf + 0 102.902 * * [simplify]: Extracting #2: cost 41 inf + 3 102.903 * * [simplify]: Extracting #3: cost 33 inf + 990 102.904 * * [simplify]: Extracting #4: cost 6 inf + 4107 102.907 * * [simplify]: Extracting #5: cost 0 inf + 5034 102.909 * [simplify]: Simplified to (- (* 1/2 (log n)) (* k (* 1/2 (log n)))) 102.909 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* 1/2 (log n)) (* k (* 1/2 (log n))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 102.910 * * * * [progress]: [ 2 / 287 ] simplifiying candidate # 102.910 * * * * [progress]: [ 3 / 287 ] simplifiying candidate # 102.910 * * * * [progress]: [ 4 / 287 ] simplifiying candidate # 102.910 * [simplify]: Simplifying (pow n (/ k 2)) 102.910 * * [simplify]: iters left: 3 (5 enodes) 102.913 * * [simplify]: iters left: 2 (18 enodes) 102.920 * * [simplify]: iters left: 1 (30 enodes) 102.930 * * [simplify]: Extracting #0: cost 1 inf + 0 102.930 * * [simplify]: Extracting #1: cost 10 inf + 0 102.930 * * [simplify]: Extracting #2: cost 23 inf + 1 102.930 * * [simplify]: Extracting #3: cost 23 inf + 46 102.931 * * [simplify]: Extracting #4: cost 11 inf + 1346 102.932 * * [simplify]: Extracting #5: cost 1 inf + 3938 102.932 * * [simplify]: Extracting #6: cost 0 inf + 4111 102.933 * * [simplify]: Extracting #7: cost 0 inf + 4070 102.934 * [simplify]: Simplified to (pow n (/ k 2)) 102.934 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow n (/ 1 2)) (pow n (/ k 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 102.934 * * * * [progress]: [ 5 / 287 ] simplifiying candidate # 102.935 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 102.935 * * [simplify]: iters left: 5 (6 enodes) 102.939 * * [simplify]: iters left: 4 (26 enodes) 102.948 * * [simplify]: iters left: 3 (35 enodes) 102.958 * * [simplify]: Extracting #0: cost 1 inf + 0 102.958 * * [simplify]: Extracting #1: cost 3 inf + 0 102.958 * * [simplify]: Extracting #2: cost 8 inf + 0 102.958 * * [simplify]: Extracting #3: cost 11 inf + 2 102.959 * * [simplify]: Extracting #4: cost 8 inf + 87 102.959 * * [simplify]: Extracting #5: cost 2 inf + 500 102.959 * * [simplify]: Extracting #6: cost 0 inf + 746 102.960 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 102.960 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 102.960 * * * * [progress]: [ 6 / 287 ] simplifiying candidate # 102.960 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 102.960 * * [simplify]: iters left: 5 (6 enodes) 102.964 * * [simplify]: iters left: 4 (26 enodes) 102.973 * * [simplify]: iters left: 3 (35 enodes) 102.984 * * [simplify]: Extracting #0: cost 1 inf + 0 102.984 * * [simplify]: Extracting #1: cost 3 inf + 0 102.984 * * [simplify]: Extracting #2: cost 8 inf + 0 102.984 * * [simplify]: Extracting #3: cost 11 inf + 2 102.984 * * [simplify]: Extracting #4: cost 8 inf + 87 102.984 * * [simplify]: Extracting #5: cost 2 inf + 460 102.984 * * [simplify]: Extracting #6: cost 0 inf + 666 102.985 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 102.985 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 102.985 * * * * [progress]: [ 7 / 287 ] simplifiying candidate # 102.985 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 102.986 * * [simplify]: iters left: 5 (7 enodes) 102.990 * * [simplify]: iters left: 4 (25 enodes) 102.999 * * [simplify]: iters left: 3 (30 enodes) 103.008 * * [simplify]: Extracting #0: cost 1 inf + 0 103.008 * * [simplify]: Extracting #1: cost 4 inf + 0 103.008 * * [simplify]: Extracting #2: cost 8 inf + 0 103.009 * * [simplify]: Extracting #3: cost 10 inf + 82 103.009 * * [simplify]: Extracting #4: cost 7 inf + 206 103.009 * * [simplify]: Extracting #5: cost 2 inf + 575 103.009 * * [simplify]: Extracting #6: cost 1 inf + 818 103.010 * * [simplify]: Extracting #7: cost 0 inf + 1061 103.010 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 103.010 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.010 * * * * [progress]: [ 8 / 287 ] simplifiying candidate # 103.010 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 103.011 * * [simplify]: iters left: 5 (7 enodes) 103.015 * * [simplify]: iters left: 4 (25 enodes) 103.023 * * [simplify]: iters left: 3 (30 enodes) 103.032 * * [simplify]: Extracting #0: cost 1 inf + 0 103.032 * * [simplify]: Extracting #1: cost 4 inf + 0 103.032 * * [simplify]: Extracting #2: cost 8 inf + 0 103.032 * * [simplify]: Extracting #3: cost 10 inf + 42 103.032 * * [simplify]: Extracting #4: cost 7 inf + 126 103.033 * * [simplify]: Extracting #5: cost 2 inf + 495 103.033 * * [simplify]: Extracting #6: cost 1 inf + 698 103.033 * * [simplify]: Extracting #7: cost 0 inf + 901 103.033 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 103.034 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.034 * * * * [progress]: [ 9 / 287 ] simplifiying candidate # 103.034 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 103.034 * * [simplify]: iters left: 5 (6 enodes) 103.037 * * [simplify]: iters left: 4 (22 enodes) 103.045 * * [simplify]: iters left: 3 (27 enodes) 103.056 * * [simplify]: Extracting #0: cost 1 inf + 0 103.056 * * [simplify]: Extracting #1: cost 4 inf + 0 103.056 * * [simplify]: Extracting #2: cost 5 inf + 1 103.056 * * [simplify]: Extracting #3: cost 9 inf + 1 103.056 * * [simplify]: Extracting #4: cost 8 inf + 3 103.057 * * [simplify]: Extracting #5: cost 4 inf + 169 103.057 * * [simplify]: Extracting #6: cost 1 inf + 576 103.057 * * [simplify]: Extracting #7: cost 0 inf + 739 103.057 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 103.057 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.058 * * * * [progress]: [ 10 / 287 ] simplifiying candidate # 103.058 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 103.058 * * [simplify]: iters left: 5 (7 enodes) 103.062 * * [simplify]: iters left: 4 (25 enodes) 103.071 * * [simplify]: iters left: 3 (30 enodes) 103.080 * * [simplify]: Extracting #0: cost 1 inf + 0 103.080 * * [simplify]: Extracting #1: cost 4 inf + 0 103.080 * * [simplify]: Extracting #2: cost 8 inf + 0 103.080 * * [simplify]: Extracting #3: cost 10 inf + 82 103.080 * * [simplify]: Extracting #4: cost 7 inf + 206 103.081 * * [simplify]: Extracting #5: cost 2 inf + 495 103.081 * * [simplify]: Extracting #6: cost 1 inf + 698 103.081 * * [simplify]: Extracting #7: cost 0 inf + 901 103.082 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 103.082 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.082 * * * * [progress]: [ 11 / 287 ] simplifiying candidate # 103.082 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 103.082 * * [simplify]: iters left: 5 (7 enodes) 103.086 * * [simplify]: iters left: 4 (25 enodes) 103.094 * * [simplify]: iters left: 3 (30 enodes) 103.103 * * [simplify]: Extracting #0: cost 1 inf + 0 103.103 * * [simplify]: Extracting #1: cost 4 inf + 0 103.103 * * [simplify]: Extracting #2: cost 8 inf + 0 103.103 * * [simplify]: Extracting #3: cost 10 inf + 42 103.104 * * [simplify]: Extracting #4: cost 7 inf + 126 103.104 * * [simplify]: Extracting #5: cost 2 inf + 415 103.104 * * [simplify]: Extracting #6: cost 1 inf + 578 103.104 * * [simplify]: Extracting #7: cost 0 inf + 741 103.105 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 103.105 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.105 * * * * [progress]: [ 12 / 287 ] simplifiying candidate # 103.105 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 103.105 * * [simplify]: iters left: 5 (6 enodes) 103.109 * * [simplify]: iters left: 4 (22 enodes) 103.116 * * [simplify]: iters left: 3 (27 enodes) 103.124 * * [simplify]: Extracting #0: cost 1 inf + 0 103.124 * * [simplify]: Extracting #1: cost 4 inf + 0 103.125 * * [simplify]: Extracting #2: cost 5 inf + 1 103.125 * * [simplify]: Extracting #3: cost 9 inf + 1 103.125 * * [simplify]: Extracting #4: cost 8 inf + 3 103.125 * * [simplify]: Extracting #5: cost 4 inf + 169 103.125 * * [simplify]: Extracting #6: cost 1 inf + 456 103.125 * * [simplify]: Extracting #7: cost 0 inf + 579 103.126 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 103.126 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.126 * * * * [progress]: [ 13 / 287 ] simplifiying candidate # 103.126 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 103.127 * * [simplify]: iters left: 4 (6 enodes) 103.130 * * [simplify]: iters left: 3 (25 enodes) 103.139 * * [simplify]: iters left: 2 (36 enodes) 103.151 * * [simplify]: iters left: 1 (40 enodes) 103.163 * * [simplify]: Extracting #0: cost 1 inf + 0 103.163 * * [simplify]: Extracting #1: cost 7 inf + 0 103.163 * * [simplify]: Extracting #2: cost 16 inf + 0 103.163 * * [simplify]: Extracting #3: cost 13 inf + 44 103.163 * * [simplify]: Extracting #4: cost 3 inf + 1103 103.164 * * [simplify]: Extracting #5: cost 0 inf + 1469 103.164 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 103.164 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.164 * * * * [progress]: [ 14 / 287 ] simplifiying candidate # 103.165 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 103.165 * * [simplify]: iters left: 4 (6 enodes) 103.169 * * [simplify]: iters left: 3 (25 enodes) 103.178 * * [simplify]: iters left: 2 (36 enodes) 103.189 * * [simplify]: iters left: 1 (40 enodes) 103.201 * * [simplify]: Extracting #0: cost 1 inf + 0 103.201 * * [simplify]: Extracting #1: cost 7 inf + 0 103.201 * * [simplify]: Extracting #2: cost 16 inf + 0 103.201 * * [simplify]: Extracting #3: cost 13 inf + 44 103.201 * * [simplify]: Extracting #4: cost 3 inf + 823 103.202 * * [simplify]: Extracting #5: cost 0 inf + 1069 103.202 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 103.202 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.202 * * * * [progress]: [ 15 / 287 ] simplifiying candidate # 103.203 * [simplify]: Simplifying (/ (- 1 k) 2) 103.203 * * [simplify]: iters left: 4 (5 enodes) 103.206 * * [simplify]: iters left: 3 (23 enodes) 103.218 * * [simplify]: iters left: 2 (32 enodes) 103.227 * * [simplify]: Extracting #0: cost 1 inf + 0 103.228 * * [simplify]: Extracting #1: cost 6 inf + 0 103.228 * * [simplify]: Extracting #2: cost 9 inf + 2 103.228 * * [simplify]: Extracting #3: cost 6 inf + 87 103.228 * * [simplify]: Extracting #4: cost 0 inf + 420 103.228 * [simplify]: Simplified to (/ (- 1 k) 2) 103.228 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.229 * * * * [progress]: [ 16 / 287 ] simplifiying candidate # 103.229 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 103.229 * * [simplify]: iters left: 5 (8 enodes) 103.234 * * [simplify]: iters left: 4 (31 enodes) 103.245 * * [simplify]: iters left: 3 (45 enodes) 103.258 * * [simplify]: iters left: 2 (51 enodes) 103.272 * * [simplify]: iters left: 1 (52 enodes) 103.286 * * [simplify]: Extracting #0: cost 1 inf + 0 103.286 * * [simplify]: Extracting #1: cost 8 inf + 0 103.287 * * [simplify]: Extracting #2: cost 18 inf + 0 103.287 * * [simplify]: Extracting #3: cost 19 inf + 2 103.287 * * [simplify]: Extracting #4: cost 9 inf + 977 103.288 * * [simplify]: Extracting #5: cost 2 inf + 1790 103.289 * * [simplify]: Extracting #6: cost 0 inf + 2195 103.289 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 103.289 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.290 * * * * [progress]: [ 17 / 287 ] simplifiying candidate # 103.290 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 103.290 * * [simplify]: iters left: 5 (8 enodes) 103.295 * * [simplify]: iters left: 4 (31 enodes) 103.304 * * [simplify]: iters left: 3 (45 enodes) 103.311 * * [simplify]: iters left: 2 (51 enodes) 103.319 * * [simplify]: iters left: 1 (52 enodes) 103.327 * * [simplify]: Extracting #0: cost 1 inf + 0 103.327 * * [simplify]: Extracting #1: cost 8 inf + 0 103.327 * * [simplify]: Extracting #2: cost 18 inf + 0 103.327 * * [simplify]: Extracting #3: cost 19 inf + 2 103.327 * * [simplify]: Extracting #4: cost 9 inf + 697 103.327 * * [simplify]: Extracting #5: cost 2 inf + 1390 103.328 * * [simplify]: Extracting #6: cost 0 inf + 1715 103.328 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 103.328 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.328 * * * * [progress]: [ 18 / 287 ] simplifiying candidate # 103.329 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 103.329 * * [simplify]: iters left: 5 (7 enodes) 103.331 * * [simplify]: iters left: 4 (29 enodes) 103.337 * * [simplify]: iters left: 3 (43 enodes) 103.347 * * [simplify]: iters left: 2 (47 enodes) 103.359 * * [simplify]: Extracting #0: cost 1 inf + 0 103.359 * * [simplify]: Extracting #1: cost 7 inf + 0 103.359 * * [simplify]: Extracting #2: cost 11 inf + 2 103.359 * * [simplify]: Extracting #3: cost 13 inf + 3 103.359 * * [simplify]: Extracting #4: cost 11 inf + 45 103.360 * * [simplify]: Extracting #5: cost 0 inf + 1066 103.360 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 103.360 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.361 * * * * [progress]: [ 19 / 287 ] simplifiying candidate # 103.361 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 103.361 * * [simplify]: iters left: 5 (7 enodes) 103.365 * * [simplify]: iters left: 4 (28 enodes) 103.375 * * [simplify]: iters left: 3 (39 enodes) 103.387 * * [simplify]: iters left: 2 (43 enodes) 103.400 * * [simplify]: Extracting #0: cost 1 inf + 0 103.400 * * [simplify]: Extracting #1: cost 7 inf + 0 103.400 * * [simplify]: Extracting #2: cost 16 inf + 0 103.400 * * [simplify]: Extracting #3: cost 15 inf + 164 103.400 * * [simplify]: Extracting #4: cost 13 inf + 287 103.401 * * [simplify]: Extracting #5: cost 5 inf + 1180 103.401 * * [simplify]: Extracting #6: cost 0 inf + 1951 103.402 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 103.402 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.402 * * * * [progress]: [ 20 / 287 ] simplifiying candidate # 103.402 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 103.402 * * [simplify]: iters left: 5 (7 enodes) 103.407 * * [simplify]: iters left: 4 (28 enodes) 103.417 * * [simplify]: iters left: 3 (39 enodes) 103.429 * * [simplify]: iters left: 2 (43 enodes) 103.438 * * [simplify]: Extracting #0: cost 1 inf + 0 103.438 * * [simplify]: Extracting #1: cost 7 inf + 0 103.438 * * [simplify]: Extracting #2: cost 16 inf + 0 103.439 * * [simplify]: Extracting #3: cost 15 inf + 84 103.439 * * [simplify]: Extracting #4: cost 13 inf + 167 103.439 * * [simplify]: Extracting #5: cost 5 inf + 900 103.439 * * [simplify]: Extracting #6: cost 0 inf + 1551 103.439 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 103.439 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.439 * * * * [progress]: [ 21 / 287 ] simplifiying candidate # 103.440 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 103.440 * * [simplify]: iters left: 5 (6 enodes) 103.442 * * [simplify]: iters left: 4 (26 enodes) 103.447 * * [simplify]: iters left: 3 (35 enodes) 103.453 * * [simplify]: Extracting #0: cost 1 inf + 0 103.453 * * [simplify]: Extracting #1: cost 6 inf + 0 103.453 * * [simplify]: Extracting #2: cost 9 inf + 2 103.453 * * [simplify]: Extracting #3: cost 11 inf + 3 103.453 * * [simplify]: Extracting #4: cost 10 inf + 4 103.453 * * [simplify]: Extracting #5: cost 3 inf + 535 103.453 * * [simplify]: Extracting #6: cost 0 inf + 822 103.454 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 103.454 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.454 * * * * [progress]: [ 22 / 287 ] simplifiying candidate # 103.454 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 103.454 * * [simplify]: iters left: 4 (6 enodes) 103.456 * * [simplify]: iters left: 3 (25 enodes) 103.461 * * [simplify]: iters left: 2 (36 enodes) 103.467 * * [simplify]: iters left: 1 (40 enodes) 103.475 * * [simplify]: Extracting #0: cost 1 inf + 0 103.475 * * [simplify]: Extracting #1: cost 7 inf + 0 103.475 * * [simplify]: Extracting #2: cost 16 inf + 0 103.475 * * [simplify]: Extracting #3: cost 13 inf + 44 103.475 * * [simplify]: Extracting #4: cost 3 inf + 1103 103.476 * * [simplify]: Extracting #5: cost 0 inf + 1469 103.476 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 103.476 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.476 * * * * [progress]: [ 23 / 287 ] simplifiying candidate # 103.476 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 103.476 * * [simplify]: iters left: 4 (6 enodes) 103.478 * * [simplify]: iters left: 3 (25 enodes) 103.483 * * [simplify]: iters left: 2 (36 enodes) 103.489 * * [simplify]: iters left: 1 (40 enodes) 103.496 * * [simplify]: Extracting #0: cost 1 inf + 0 103.496 * * [simplify]: Extracting #1: cost 7 inf + 0 103.496 * * [simplify]: Extracting #2: cost 16 inf + 0 103.496 * * [simplify]: Extracting #3: cost 13 inf + 44 103.497 * * [simplify]: Extracting #4: cost 3 inf + 823 103.497 * * [simplify]: Extracting #5: cost 0 inf + 1069 103.498 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 103.498 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.498 * * * * [progress]: [ 24 / 287 ] simplifiying candidate # 103.498 * [simplify]: Simplifying (/ (- 1 k) 2) 103.498 * * [simplify]: iters left: 4 (5 enodes) 103.502 * * [simplify]: iters left: 3 (23 enodes) 103.511 * * [simplify]: iters left: 2 (32 enodes) 103.520 * * [simplify]: Extracting #0: cost 1 inf + 0 103.521 * * [simplify]: Extracting #1: cost 6 inf + 0 103.521 * * [simplify]: Extracting #2: cost 9 inf + 2 103.521 * * [simplify]: Extracting #3: cost 6 inf + 87 103.521 * * [simplify]: Extracting #4: cost 0 inf + 420 103.521 * [simplify]: Simplified to (/ (- 1 k) 2) 103.521 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (/ 1 1)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.521 * * * * [progress]: [ 25 / 287 ] simplifiying candidate # 103.522 * [simplify]: Simplifying (/ (- 1 k) 2) 103.522 * * [simplify]: iters left: 4 (5 enodes) 103.526 * * [simplify]: iters left: 3 (23 enodes) 103.534 * * [simplify]: iters left: 2 (32 enodes) 103.543 * * [simplify]: Extracting #0: cost 1 inf + 0 103.543 * * [simplify]: Extracting #1: cost 6 inf + 0 103.543 * * [simplify]: Extracting #2: cost 9 inf + 2 103.543 * * [simplify]: Extracting #3: cost 6 inf + 87 103.544 * * [simplify]: Extracting #4: cost 0 inf + 420 103.544 * [simplify]: Simplified to (/ (- 1 k) 2) 103.544 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n 1) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.544 * * * * [progress]: [ 26 / 287 ] simplifiying candidate # 103.544 * [simplify]: Simplifying (/ 1 2) 103.544 * * [simplify]: iters left: 2 (3 enodes) 103.548 * * [simplify]: iters left: 1 (12 enodes) 103.552 * * [simplify]: Extracting #0: cost 1 inf + 0 103.552 * * [simplify]: Extracting #1: cost 0 inf + 1 103.552 * [simplify]: Simplified to 1/2 103.552 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow n (- 1 k)) 1/2) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.552 * * * * [progress]: [ 27 / 287 ] simplifiying candidate # 103.553 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 103.553 * * [simplify]: iters left: 5 (9 enodes) 103.558 * * [simplify]: iters left: 4 (38 enodes) 103.572 * * [simplify]: iters left: 3 (63 enodes) 103.592 * * [simplify]: iters left: 2 (98 enodes) 103.629 * * [simplify]: iters left: 1 (167 enodes) 103.679 * * [simplify]: Extracting #0: cost 1 inf + 0 103.679 * * [simplify]: Extracting #1: cost 13 inf + 0 103.679 * * [simplify]: Extracting #2: cost 54 inf + 1 103.680 * * [simplify]: Extracting #3: cost 87 inf + 5 103.680 * * [simplify]: Extracting #4: cost 68 inf + 1334 103.681 * * [simplify]: Extracting #5: cost 40 inf + 5047 103.683 * * [simplify]: Extracting #6: cost 11 inf + 17686 103.687 * * [simplify]: Extracting #7: cost 0 inf + 25802 103.694 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 103.694 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow (cbrt n) (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.694 * * * * [progress]: [ 28 / 287 ] simplifiying candidate # 103.694 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 103.695 * * [simplify]: iters left: 5 (8 enodes) 103.700 * * [simplify]: iters left: 4 (35 enodes) 103.712 * * [simplify]: iters left: 3 (56 enodes) 103.729 * * [simplify]: iters left: 2 (89 enodes) 103.750 * * [simplify]: iters left: 1 (175 enodes) 103.811 * * [simplify]: Extracting #0: cost 1 inf + 0 103.811 * * [simplify]: Extracting #1: cost 13 inf + 0 103.811 * * [simplify]: Extracting #2: cost 53 inf + 1 103.812 * * [simplify]: Extracting #3: cost 83 inf + 47 103.813 * * [simplify]: Extracting #4: cost 66 inf + 2084 103.815 * * [simplify]: Extracting #5: cost 25 inf + 7926 103.820 * * [simplify]: Extracting #6: cost 3 inf + 20905 103.826 * * [simplify]: Extracting #7: cost 0 inf + 22641 103.832 * * [simplify]: Extracting #8: cost 0 inf + 22420 103.839 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 103.839 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt n) (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.839 * * * * [progress]: [ 29 / 287 ] simplifiying candidate # 103.839 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 103.839 * * [simplify]: iters left: 5 (6 enodes) 103.844 * * [simplify]: iters left: 4 (24 enodes) 103.851 * * [simplify]: iters left: 3 (33 enodes) 103.861 * * [simplify]: Extracting #0: cost 1 inf + 0 103.861 * * [simplify]: Extracting #1: cost 0 inf + 1 103.861 * [simplify]: Simplified to 1 103.861 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 103.861 * * * * [progress]: [ 30 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 31 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 32 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 33 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 34 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 35 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 36 / 287 ] simplifiying candidate # 103.861 * * * * [progress]: [ 37 / 287 ] simplifiying candidate # 103.862 * * * * [progress]: [ 38 / 287 ] simplifiying candidate #real (real->posit16 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))> 103.862 * * * * [progress]: [ 39 / 287 ] simplifiying candidate # 103.862 * [simplify]: Simplifying (* (log PI) (/ (- 1 k) 2)) 103.862 * * [simplify]: iters left: 6 (8 enodes) 103.867 * * [simplify]: iters left: 5 (35 enodes) 103.883 * * [simplify]: iters left: 4 (56 enodes) 103.896 * * [simplify]: iters left: 3 (70 enodes) 103.909 * * [simplify]: iters left: 2 (125 enodes) 103.936 * * [simplify]: iters left: 1 (158 enodes) 103.993 * * [simplify]: Extracting #0: cost 1 inf + 0 103.993 * * [simplify]: Extracting #1: cost 16 inf + 0 103.993 * * [simplify]: Extracting #2: cost 41 inf + 3 103.994 * * [simplify]: Extracting #3: cost 33 inf + 990 103.996 * * [simplify]: Extracting #4: cost 6 inf + 4107 103.998 * * [simplify]: Extracting #5: cost 0 inf + 5034 104.001 * [simplify]: Simplified to (- (* 1/2 (log PI)) (* k (* 1/2 (log PI)))) 104.001 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (exp (- (* 1/2 (log PI)) (* k (* 1/2 (log PI))))))))) 104.002 * * * * [progress]: [ 40 / 287 ] simplifiying candidate # 104.002 * * * * [progress]: [ 41 / 287 ] simplifiying candidate # 104.002 * * * * [progress]: [ 42 / 287 ] simplifiying candidate # 104.002 * [simplify]: Simplifying (pow PI (/ k 2)) 104.002 * * [simplify]: iters left: 3 (5 enodes) 104.005 * * [simplify]: iters left: 2 (18 enodes) 104.012 * * [simplify]: iters left: 1 (30 enodes) 104.022 * * [simplify]: Extracting #0: cost 1 inf + 0 104.022 * * [simplify]: Extracting #1: cost 10 inf + 0 104.023 * * [simplify]: Extracting #2: cost 23 inf + 1 104.023 * * [simplify]: Extracting #3: cost 23 inf + 46 104.023 * * [simplify]: Extracting #4: cost 11 inf + 1346 104.024 * * [simplify]: Extracting #5: cost 1 inf + 3938 104.025 * * [simplify]: Extracting #6: cost 0 inf + 4111 104.026 * * [simplify]: Extracting #7: cost 0 inf + 4070 104.027 * [simplify]: Simplified to (pow PI (/ k 2)) 104.027 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))))) 104.027 * * * * [progress]: [ 43 / 287 ] simplifiying candidate # 104.027 * [simplify]: Simplifying (cbrt (/ (- 1 k) 2)) 104.027 * * [simplify]: iters left: 5 (6 enodes) 104.031 * * [simplify]: iters left: 4 (26 enodes) 104.036 * * [simplify]: iters left: 3 (35 enodes) 104.041 * * [simplify]: Extracting #0: cost 1 inf + 0 104.041 * * [simplify]: Extracting #1: cost 3 inf + 0 104.041 * * [simplify]: Extracting #2: cost 8 inf + 0 104.041 * * [simplify]: Extracting #3: cost 11 inf + 2 104.041 * * [simplify]: Extracting #4: cost 8 inf + 87 104.041 * * [simplify]: Extracting #5: cost 2 inf + 500 104.041 * * [simplify]: Extracting #6: cost 0 inf + 746 104.042 * [simplify]: Simplified to (cbrt (/ (- 1 k) 2)) 104.042 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))) 104.042 * * * * [progress]: [ 44 / 287 ] simplifiying candidate # 104.042 * [simplify]: Simplifying (sqrt (/ (- 1 k) 2)) 104.042 * * [simplify]: iters left: 5 (6 enodes) 104.044 * * [simplify]: iters left: 4 (26 enodes) 104.049 * * [simplify]: iters left: 3 (35 enodes) 104.054 * * [simplify]: Extracting #0: cost 1 inf + 0 104.054 * * [simplify]: Extracting #1: cost 3 inf + 0 104.054 * * [simplify]: Extracting #2: cost 8 inf + 0 104.054 * * [simplify]: Extracting #3: cost 11 inf + 2 104.054 * * [simplify]: Extracting #4: cost 8 inf + 87 104.055 * * [simplify]: Extracting #5: cost 2 inf + 460 104.055 * * [simplify]: Extracting #6: cost 0 inf + 666 104.055 * [simplify]: Simplified to (sqrt (/ (- 1 k) 2)) 104.055 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))) 104.055 * * * * [progress]: [ 45 / 287 ] simplifiying candidate # 104.055 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (cbrt 2)) 104.055 * * [simplify]: iters left: 5 (7 enodes) 104.058 * * [simplify]: iters left: 4 (25 enodes) 104.065 * * [simplify]: iters left: 3 (30 enodes) 104.075 * * [simplify]: Extracting #0: cost 1 inf + 0 104.075 * * [simplify]: Extracting #1: cost 4 inf + 0 104.075 * * [simplify]: Extracting #2: cost 8 inf + 0 104.075 * * [simplify]: Extracting #3: cost 10 inf + 82 104.076 * * [simplify]: Extracting #4: cost 7 inf + 206 104.076 * * [simplify]: Extracting #5: cost 2 inf + 575 104.076 * * [simplify]: Extracting #6: cost 1 inf + 818 104.076 * * [simplify]: Extracting #7: cost 0 inf + 1061 104.077 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (cbrt 2)) 104.077 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))) 104.077 * * * * [progress]: [ 46 / 287 ] simplifiying candidate # 104.077 * [simplify]: Simplifying (/ (cbrt (- 1 k)) (sqrt 2)) 104.077 * * [simplify]: iters left: 5 (7 enodes) 104.082 * * [simplify]: iters left: 4 (25 enodes) 104.090 * * [simplify]: iters left: 3 (30 enodes) 104.099 * * [simplify]: Extracting #0: cost 1 inf + 0 104.099 * * [simplify]: Extracting #1: cost 4 inf + 0 104.099 * * [simplify]: Extracting #2: cost 8 inf + 0 104.099 * * [simplify]: Extracting #3: cost 10 inf + 42 104.099 * * [simplify]: Extracting #4: cost 7 inf + 126 104.100 * * [simplify]: Extracting #5: cost 2 inf + 495 104.100 * * [simplify]: Extracting #6: cost 1 inf + 698 104.100 * * [simplify]: Extracting #7: cost 0 inf + 901 104.100 * [simplify]: Simplified to (/ (cbrt (- 1 k)) (sqrt 2)) 104.101 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))) 104.101 * * * * [progress]: [ 47 / 287 ] simplifiying candidate # 104.101 * [simplify]: Simplifying (/ (cbrt (- 1 k)) 2) 104.101 * * [simplify]: iters left: 5 (6 enodes) 104.105 * * [simplify]: iters left: 4 (22 enodes) 104.112 * * [simplify]: iters left: 3 (27 enodes) 104.125 * * [simplify]: Extracting #0: cost 1 inf + 0 104.125 * * [simplify]: Extracting #1: cost 4 inf + 0 104.125 * * [simplify]: Extracting #2: cost 5 inf + 1 104.125 * * [simplify]: Extracting #3: cost 9 inf + 1 104.125 * * [simplify]: Extracting #4: cost 8 inf + 3 104.125 * * [simplify]: Extracting #5: cost 4 inf + 169 104.125 * * [simplify]: Extracting #6: cost 1 inf + 576 104.126 * * [simplify]: Extracting #7: cost 0 inf + 739 104.126 * [simplify]: Simplified to (/ (cbrt (- 1 k)) 2) 104.126 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))) 104.126 * * * * [progress]: [ 48 / 287 ] simplifiying candidate # 104.127 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (cbrt 2)) 104.127 * * [simplify]: iters left: 5 (7 enodes) 104.131 * * [simplify]: iters left: 4 (25 enodes) 104.139 * * [simplify]: iters left: 3 (30 enodes) 104.145 * * [simplify]: Extracting #0: cost 1 inf + 0 104.145 * * [simplify]: Extracting #1: cost 4 inf + 0 104.145 * * [simplify]: Extracting #2: cost 8 inf + 0 104.145 * * [simplify]: Extracting #3: cost 10 inf + 82 104.145 * * [simplify]: Extracting #4: cost 7 inf + 206 104.145 * * [simplify]: Extracting #5: cost 2 inf + 495 104.145 * * [simplify]: Extracting #6: cost 1 inf + 698 104.145 * * [simplify]: Extracting #7: cost 0 inf + 901 104.145 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (cbrt 2)) 104.145 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))) 104.146 * * * * [progress]: [ 49 / 287 ] simplifiying candidate # 104.146 * [simplify]: Simplifying (/ (sqrt (- 1 k)) (sqrt 2)) 104.146 * * [simplify]: iters left: 5 (7 enodes) 104.148 * * [simplify]: iters left: 4 (25 enodes) 104.153 * * [simplify]: iters left: 3 (30 enodes) 104.158 * * [simplify]: Extracting #0: cost 1 inf + 0 104.158 * * [simplify]: Extracting #1: cost 4 inf + 0 104.158 * * [simplify]: Extracting #2: cost 8 inf + 0 104.158 * * [simplify]: Extracting #3: cost 10 inf + 42 104.158 * * [simplify]: Extracting #4: cost 7 inf + 126 104.158 * * [simplify]: Extracting #5: cost 2 inf + 415 104.158 * * [simplify]: Extracting #6: cost 1 inf + 578 104.158 * * [simplify]: Extracting #7: cost 0 inf + 741 104.159 * [simplify]: Simplified to (/ (sqrt (- 1 k)) (sqrt 2)) 104.159 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))) 104.159 * * * * [progress]: [ 50 / 287 ] simplifiying candidate # 104.159 * [simplify]: Simplifying (/ (sqrt (- 1 k)) 2) 104.159 * * [simplify]: iters left: 5 (6 enodes) 104.161 * * [simplify]: iters left: 4 (22 enodes) 104.164 * * [simplify]: iters left: 3 (27 enodes) 104.171 * * [simplify]: Extracting #0: cost 1 inf + 0 104.171 * * [simplify]: Extracting #1: cost 4 inf + 0 104.171 * * [simplify]: Extracting #2: cost 5 inf + 1 104.171 * * [simplify]: Extracting #3: cost 9 inf + 1 104.171 * * [simplify]: Extracting #4: cost 8 inf + 3 104.171 * * [simplify]: Extracting #5: cost 4 inf + 169 104.171 * * [simplify]: Extracting #6: cost 1 inf + 456 104.171 * * [simplify]: Extracting #7: cost 0 inf + 579 104.172 * [simplify]: Simplified to (/ (sqrt (- 1 k)) 2) 104.172 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))) 104.172 * * * * [progress]: [ 51 / 287 ] simplifiying candidate # 104.172 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 104.172 * * [simplify]: iters left: 4 (6 enodes) 104.176 * * [simplify]: iters left: 3 (25 enodes) 104.185 * * [simplify]: iters left: 2 (36 enodes) 104.197 * * [simplify]: iters left: 1 (40 enodes) 104.206 * * [simplify]: Extracting #0: cost 1 inf + 0 104.206 * * [simplify]: Extracting #1: cost 7 inf + 0 104.206 * * [simplify]: Extracting #2: cost 16 inf + 0 104.206 * * [simplify]: Extracting #3: cost 13 inf + 44 104.206 * * [simplify]: Extracting #4: cost 3 inf + 1103 104.207 * * [simplify]: Extracting #5: cost 0 inf + 1469 104.207 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 104.207 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 104.207 * * * * [progress]: [ 52 / 287 ] simplifiying candidate # 104.207 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 104.207 * * [simplify]: iters left: 4 (6 enodes) 104.210 * * [simplify]: iters left: 3 (25 enodes) 104.215 * * [simplify]: iters left: 2 (36 enodes) 104.221 * * [simplify]: iters left: 1 (40 enodes) 104.228 * * [simplify]: Extracting #0: cost 1 inf + 0 104.228 * * [simplify]: Extracting #1: cost 7 inf + 0 104.228 * * [simplify]: Extracting #2: cost 16 inf + 0 104.228 * * [simplify]: Extracting #3: cost 13 inf + 44 104.228 * * [simplify]: Extracting #4: cost 3 inf + 823 104.228 * * [simplify]: Extracting #5: cost 0 inf + 1069 104.228 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 104.228 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 104.229 * * * * [progress]: [ 53 / 287 ] simplifiying candidate # 104.229 * [simplify]: Simplifying (/ (- 1 k) 2) 104.229 * * [simplify]: iters left: 4 (5 enodes) 104.233 * * [simplify]: iters left: 3 (23 enodes) 104.240 * * [simplify]: iters left: 2 (32 enodes) 104.249 * * [simplify]: Extracting #0: cost 1 inf + 0 104.249 * * [simplify]: Extracting #1: cost 6 inf + 0 104.250 * * [simplify]: Extracting #2: cost 9 inf + 2 104.250 * * [simplify]: Extracting #3: cost 6 inf + 87 104.250 * * [simplify]: Extracting #4: cost 0 inf + 420 104.250 * [simplify]: Simplified to (/ (- 1 k) 2) 104.250 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))))) 104.250 * * * * [progress]: [ 54 / 287 ] simplifiying candidate # 104.251 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 104.251 * * [simplify]: iters left: 5 (8 enodes) 104.256 * * [simplify]: iters left: 4 (31 enodes) 104.265 * * [simplify]: iters left: 3 (45 enodes) 104.272 * * [simplify]: iters left: 2 (51 enodes) 104.280 * * [simplify]: iters left: 1 (52 enodes) 104.289 * * [simplify]: Extracting #0: cost 1 inf + 0 104.290 * * [simplify]: Extracting #1: cost 8 inf + 0 104.290 * * [simplify]: Extracting #2: cost 18 inf + 0 104.290 * * [simplify]: Extracting #3: cost 19 inf + 2 104.290 * * [simplify]: Extracting #4: cost 9 inf + 977 104.290 * * [simplify]: Extracting #5: cost 2 inf + 1790 104.291 * * [simplify]: Extracting #6: cost 0 inf + 2195 104.292 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 104.292 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 104.292 * * * * [progress]: [ 55 / 287 ] simplifiying candidate # 104.292 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 104.292 * * [simplify]: iters left: 5 (8 enodes) 104.297 * * [simplify]: iters left: 4 (31 enodes) 104.305 * * [simplify]: iters left: 3 (45 enodes) 104.316 * * [simplify]: iters left: 2 (51 enodes) 104.329 * * [simplify]: iters left: 1 (52 enodes) 104.341 * * [simplify]: Extracting #0: cost 1 inf + 0 104.341 * * [simplify]: Extracting #1: cost 8 inf + 0 104.341 * * [simplify]: Extracting #2: cost 18 inf + 0 104.341 * * [simplify]: Extracting #3: cost 19 inf + 2 104.342 * * [simplify]: Extracting #4: cost 9 inf + 697 104.342 * * [simplify]: Extracting #5: cost 2 inf + 1390 104.343 * * [simplify]: Extracting #6: cost 0 inf + 1715 104.343 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 104.343 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 104.344 * * * * [progress]: [ 56 / 287 ] simplifiying candidate # 104.344 * [simplify]: Simplifying (/ (- (sqrt 1) (sqrt k)) 2) 104.344 * * [simplify]: iters left: 5 (7 enodes) 104.349 * * [simplify]: iters left: 4 (29 enodes) 104.358 * * [simplify]: iters left: 3 (43 enodes) 104.372 * * [simplify]: iters left: 2 (47 enodes) 104.381 * * [simplify]: Extracting #0: cost 1 inf + 0 104.381 * * [simplify]: Extracting #1: cost 7 inf + 0 104.381 * * [simplify]: Extracting #2: cost 11 inf + 2 104.381 * * [simplify]: Extracting #3: cost 13 inf + 3 104.382 * * [simplify]: Extracting #4: cost 11 inf + 45 104.382 * * [simplify]: Extracting #5: cost 0 inf + 1066 104.382 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 104.382 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.382 * * * * [progress]: [ 57 / 287 ] simplifiying candidate # 104.382 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (cbrt 2)) 104.383 * * [simplify]: iters left: 5 (7 enodes) 104.386 * * [simplify]: iters left: 4 (28 enodes) 104.395 * * [simplify]: iters left: 3 (39 enodes) 104.405 * * [simplify]: iters left: 2 (43 enodes) 104.418 * * [simplify]: Extracting #0: cost 1 inf + 0 104.418 * * [simplify]: Extracting #1: cost 7 inf + 0 104.418 * * [simplify]: Extracting #2: cost 16 inf + 0 104.418 * * [simplify]: Extracting #3: cost 15 inf + 164 104.418 * * [simplify]: Extracting #4: cost 13 inf + 287 104.418 * * [simplify]: Extracting #5: cost 5 inf + 1180 104.419 * * [simplify]: Extracting #6: cost 0 inf + 1951 104.419 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (cbrt 2)) 104.419 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))) 104.420 * * * * [progress]: [ 58 / 287 ] simplifiying candidate # 104.420 * [simplify]: Simplifying (/ (- 1 (sqrt k)) (sqrt 2)) 104.420 * * [simplify]: iters left: 5 (7 enodes) 104.424 * * [simplify]: iters left: 4 (28 enodes) 104.433 * * [simplify]: iters left: 3 (39 enodes) 104.443 * * [simplify]: iters left: 2 (43 enodes) 104.455 * * [simplify]: Extracting #0: cost 1 inf + 0 104.455 * * [simplify]: Extracting #1: cost 7 inf + 0 104.455 * * [simplify]: Extracting #2: cost 16 inf + 0 104.455 * * [simplify]: Extracting #3: cost 15 inf + 84 104.455 * * [simplify]: Extracting #4: cost 13 inf + 167 104.456 * * [simplify]: Extracting #5: cost 5 inf + 900 104.456 * * [simplify]: Extracting #6: cost 0 inf + 1551 104.457 * [simplify]: Simplified to (/ (- 1 (sqrt k)) (sqrt 2)) 104.457 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))) 104.457 * * * * [progress]: [ 59 / 287 ] simplifiying candidate # 104.457 * [simplify]: Simplifying (/ (- 1 (sqrt k)) 2) 104.457 * * [simplify]: iters left: 5 (6 enodes) 104.461 * * [simplify]: iters left: 4 (26 enodes) 104.469 * * [simplify]: iters left: 3 (35 enodes) 104.479 * * [simplify]: Extracting #0: cost 1 inf + 0 104.479 * * [simplify]: Extracting #1: cost 6 inf + 0 104.479 * * [simplify]: Extracting #2: cost 9 inf + 2 104.479 * * [simplify]: Extracting #3: cost 11 inf + 3 104.479 * * [simplify]: Extracting #4: cost 10 inf + 4 104.479 * * [simplify]: Extracting #5: cost 3 inf + 535 104.480 * * [simplify]: Extracting #6: cost 0 inf + 822 104.480 * [simplify]: Simplified to (/ (- 1 (sqrt k)) 2) 104.480 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))) 104.480 * * * * [progress]: [ 60 / 287 ] simplifiying candidate # 104.481 * [simplify]: Simplifying (/ (- 1 k) (cbrt 2)) 104.481 * * [simplify]: iters left: 4 (6 enodes) 104.484 * * [simplify]: iters left: 3 (25 enodes) 104.492 * * [simplify]: iters left: 2 (36 enodes) 104.502 * * [simplify]: iters left: 1 (40 enodes) 104.516 * * [simplify]: Extracting #0: cost 1 inf + 0 104.516 * * [simplify]: Extracting #1: cost 7 inf + 0 104.516 * * [simplify]: Extracting #2: cost 16 inf + 0 104.516 * * [simplify]: Extracting #3: cost 13 inf + 44 104.516 * * [simplify]: Extracting #4: cost 3 inf + 1103 104.517 * * [simplify]: Extracting #5: cost 0 inf + 1469 104.517 * [simplify]: Simplified to (/ (- 1 k) (cbrt 2)) 104.517 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))) 104.518 * * * * [progress]: [ 61 / 287 ] simplifiying candidate # 104.518 * [simplify]: Simplifying (/ (- 1 k) (sqrt 2)) 104.519 * * [simplify]: iters left: 4 (6 enodes) 104.522 * * [simplify]: iters left: 3 (25 enodes) 104.530 * * [simplify]: iters left: 2 (36 enodes) 104.539 * * [simplify]: iters left: 1 (40 enodes) 104.549 * * [simplify]: Extracting #0: cost 1 inf + 0 104.549 * * [simplify]: Extracting #1: cost 7 inf + 0 104.549 * * [simplify]: Extracting #2: cost 16 inf + 0 104.549 * * [simplify]: Extracting #3: cost 13 inf + 44 104.549 * * [simplify]: Extracting #4: cost 3 inf + 823 104.550 * * [simplify]: Extracting #5: cost 0 inf + 1069 104.550 * [simplify]: Simplified to (/ (- 1 k) (sqrt 2)) 104.550 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))) 104.550 * * * * [progress]: [ 62 / 287 ] simplifiying candidate # 104.550 * [simplify]: Simplifying (/ (- 1 k) 2) 104.550 * * [simplify]: iters left: 4 (5 enodes) 104.552 * * [simplify]: iters left: 3 (23 enodes) 104.556 * * [simplify]: iters left: 2 (32 enodes) 104.562 * * [simplify]: Extracting #0: cost 1 inf + 0 104.562 * * [simplify]: Extracting #1: cost 6 inf + 0 104.562 * * [simplify]: Extracting #2: cost 9 inf + 2 104.562 * * [simplify]: Extracting #3: cost 6 inf + 87 104.562 * * [simplify]: Extracting #4: cost 0 inf + 420 104.562 * [simplify]: Simplified to (/ (- 1 k) 2) 104.562 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ 1 1)) (/ (- 1 k) 2)))))) 104.563 * * * * [progress]: [ 63 / 287 ] simplifiying candidate # 104.563 * [simplify]: Simplifying (/ (- 1 k) 2) 104.563 * * [simplify]: iters left: 4 (5 enodes) 104.567 * * [simplify]: iters left: 3 (23 enodes) 104.575 * * [simplify]: iters left: 2 (32 enodes) 104.585 * * [simplify]: Extracting #0: cost 1 inf + 0 104.585 * * [simplify]: Extracting #1: cost 6 inf + 0 104.585 * * [simplify]: Extracting #2: cost 9 inf + 2 104.585 * * [simplify]: Extracting #3: cost 6 inf + 87 104.586 * * [simplify]: Extracting #4: cost 0 inf + 420 104.586 * [simplify]: Simplified to (/ (- 1 k) 2) 104.586 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))))) 104.586 * * * * [progress]: [ 64 / 287 ] simplifiying candidate # 104.586 * [simplify]: Simplifying (/ 1 2) 104.586 * * [simplify]: iters left: 2 (3 enodes) 104.590 * * [simplify]: iters left: 1 (12 enodes) 104.594 * * [simplify]: Extracting #0: cost 1 inf + 0 104.594 * * [simplify]: Extracting #1: cost 0 inf + 1 104.594 * [simplify]: Simplified to 1/2 104.594 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2))))) 104.594 * * * * [progress]: [ 65 / 287 ] simplifiying candidate # 104.595 * [simplify]: Simplifying (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 104.595 * * [simplify]: iters left: 5 (9 enodes) 104.600 * * [simplify]: iters left: 4 (38 enodes) 104.615 * * [simplify]: iters left: 3 (63 enodes) 104.635 * * [simplify]: iters left: 2 (98 enodes) 104.673 * * [simplify]: iters left: 1 (167 enodes) 104.728 * * [simplify]: Extracting #0: cost 1 inf + 0 104.728 * * [simplify]: Extracting #1: cost 13 inf + 0 104.728 * * [simplify]: Extracting #2: cost 54 inf + 1 104.729 * * [simplify]: Extracting #3: cost 87 inf + 5 104.729 * * [simplify]: Extracting #4: cost 68 inf + 1334 104.730 * * [simplify]: Extracting #5: cost 40 inf + 5047 104.732 * * [simplify]: Extracting #6: cost 11 inf + 17686 104.736 * * [simplify]: Extracting #7: cost 0 inf + 25802 104.740 * [simplify]: Simplified to (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) 104.740 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1 k) 2)) (pow (cbrt PI) (/ (- 1 k) 2))))))) 104.740 * * * * [progress]: [ 66 / 287 ] simplifiying candidate # 104.740 * [simplify]: Simplifying (pow (sqrt PI) (/ (- 1 k) 2)) 104.740 * * [simplify]: iters left: 5 (8 enodes) 104.743 * * [simplify]: iters left: 4 (35 enodes) 104.749 * * [simplify]: iters left: 3 (56 enodes) 104.765 * * [simplify]: iters left: 2 (89 enodes) 104.787 * * [simplify]: iters left: 1 (175 enodes) 104.838 * * [simplify]: Extracting #0: cost 1 inf + 0 104.838 * * [simplify]: Extracting #1: cost 13 inf + 0 104.839 * * [simplify]: Extracting #2: cost 53 inf + 1 104.839 * * [simplify]: Extracting #3: cost 83 inf + 47 104.840 * * [simplify]: Extracting #4: cost 66 inf + 2084 104.843 * * [simplify]: Extracting #5: cost 25 inf + 7926 104.847 * * [simplify]: Extracting #6: cost 3 inf + 20905 104.853 * * [simplify]: Extracting #7: cost 0 inf + 22641 104.859 * * [simplify]: Extracting #8: cost 0 inf + 22420 104.865 * [simplify]: Simplified to (pow (sqrt PI) (/ (- 1 k) 2)) 104.865 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* (pow (sqrt PI) (/ (- 1 k) 2)) (pow (sqrt PI) (/ (- 1 k) 2))))))) 104.866 * * * * [progress]: [ 67 / 287 ] simplifiying candidate # 104.866 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 104.866 * * [simplify]: iters left: 5 (6 enodes) 104.870 * * [simplify]: iters left: 4 (24 enodes) 104.879 * * [simplify]: iters left: 3 (33 enodes) 104.888 * * [simplify]: Extracting #0: cost 1 inf + 0 104.888 * * [simplify]: Extracting #1: cost 0 inf + 1 104.888 * [simplify]: Simplified to 1 104.888 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2))))))) 104.889 * * * * [progress]: [ 68 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 69 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 70 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 71 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 72 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 73 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 74 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 75 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 76 / 287 ] simplifiying candidate #real (real->posit16 (pow PI (/ (- 1 k) 2))))))))> 104.889 * * * * [progress]: [ 77 / 287 ] simplifiying candidate # 104.889 * * * * [progress]: [ 78 / 287 ] simplifiying candidate # 104.890 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 104.890 * * [simplify]: iters left: 6 (14 enodes) 104.901 * * [simplify]: iters left: 5 (63 enodes) 104.912 * * [simplify]: iters left: 4 (119 enodes) 104.937 * * [simplify]: iters left: 3 (201 enodes) 105.008 * * [simplify]: iters left: 2 (419 enodes) 105.152 * * [simplify]: Extracting #0: cost 1 inf + 0 105.152 * * [simplify]: Extracting #1: cost 17 inf + 0 105.152 * * [simplify]: Extracting #2: cost 105 inf + 0 105.153 * * [simplify]: Extracting #3: cost 163 inf + 185 105.154 * * [simplify]: Extracting #4: cost 155 inf + 3668 105.157 * * [simplify]: Extracting #5: cost 96 inf + 14987 105.163 * * [simplify]: Extracting #6: cost 23 inf + 31567 105.180 * * [simplify]: Extracting #7: cost 0 inf + 37811 105.196 * * [simplify]: Extracting #8: cost 0 inf + 37809 105.211 * [simplify]: Simplified to (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k))) 105.211 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k)))))) 105.211 * * * * [progress]: [ 79 / 287 ] simplifiying candidate # 105.212 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 105.212 * * [simplify]: iters left: 6 (14 enodes) 105.221 * * [simplify]: iters left: 5 (63 enodes) 105.242 * * [simplify]: iters left: 4 (119 enodes) 105.283 * * [simplify]: iters left: 3 (201 enodes) 105.326 * * [simplify]: iters left: 2 (419 enodes) 105.458 * * [simplify]: Extracting #0: cost 1 inf + 0 105.458 * * [simplify]: Extracting #1: cost 17 inf + 0 105.458 * * [simplify]: Extracting #2: cost 105 inf + 0 105.459 * * [simplify]: Extracting #3: cost 163 inf + 185 105.460 * * [simplify]: Extracting #4: cost 155 inf + 3668 105.463 * * [simplify]: Extracting #5: cost 96 inf + 14987 105.469 * * [simplify]: Extracting #6: cost 23 inf + 31567 105.477 * * [simplify]: Extracting #7: cost 0 inf + 37811 105.485 * * [simplify]: Extracting #8: cost 0 inf + 37809 105.497 * [simplify]: Simplified to (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k))) 105.497 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k)))))) 105.497 * * * * [progress]: [ 80 / 287 ] simplifiying candidate # 105.497 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 105.497 * * [simplify]: iters left: 6 (14 enodes) 105.502 * * [simplify]: iters left: 5 (63 enodes) 105.513 * * [simplify]: iters left: 4 (124 enodes) 105.539 * * [simplify]: iters left: 3 (244 enodes) 105.602 * * [simplify]: Extracting #0: cost 1 inf + 0 105.602 * * [simplify]: Extracting #1: cost 23 inf + 0 105.602 * * [simplify]: Extracting #2: cost 115 inf + 0 105.603 * * [simplify]: Extracting #3: cost 169 inf + 74 105.604 * * [simplify]: Extracting #4: cost 144 inf + 4821 105.607 * * [simplify]: Extracting #5: cost 56 inf + 22270 105.614 * * [simplify]: Extracting #6: cost 3 inf + 40165 105.624 * * [simplify]: Extracting #7: cost 0 inf + 41951 105.631 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2)) 105.631 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2))))) 105.631 * * * * [progress]: [ 81 / 287 ] simplifiying candidate # 105.631 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 105.631 * * [simplify]: iters left: 6 (14 enodes) 105.636 * * [simplify]: iters left: 5 (63 enodes) 105.647 * * [simplify]: iters left: 4 (119 enodes) 105.668 * * [simplify]: iters left: 3 (201 enodes) 105.711 * * [simplify]: iters left: 2 (419 enodes) 105.859 * * [simplify]: Extracting #0: cost 1 inf + 0 105.859 * * [simplify]: Extracting #1: cost 17 inf + 0 105.860 * * [simplify]: Extracting #2: cost 105 inf + 0 105.861 * * [simplify]: Extracting #3: cost 163 inf + 185 105.863 * * [simplify]: Extracting #4: cost 155 inf + 3668 105.868 * * [simplify]: Extracting #5: cost 96 inf + 14987 105.884 * * [simplify]: Extracting #6: cost 23 inf + 31567 105.893 * * [simplify]: Extracting #7: cost 0 inf + 37811 105.901 * * [simplify]: Extracting #8: cost 0 inf + 37809 105.908 * [simplify]: Simplified to (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k))) 105.909 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k)))))) 105.909 * * * * [progress]: [ 82 / 287 ] simplifiying candidate # 105.909 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))) 105.909 * * [simplify]: iters left: 6 (14 enodes) 105.914 * * [simplify]: iters left: 5 (63 enodes) 105.935 * * [simplify]: iters left: 4 (119 enodes) 105.974 * * [simplify]: iters left: 3 (201 enodes) 106.054 * * [simplify]: iters left: 2 (419 enodes) 106.212 * * [simplify]: Extracting #0: cost 1 inf + 0 106.212 * * [simplify]: Extracting #1: cost 17 inf + 0 106.212 * * [simplify]: Extracting #2: cost 105 inf + 0 106.213 * * [simplify]: Extracting #3: cost 163 inf + 185 106.214 * * [simplify]: Extracting #4: cost 155 inf + 3668 106.217 * * [simplify]: Extracting #5: cost 96 inf + 14987 106.223 * * [simplify]: Extracting #6: cost 23 inf + 31567 106.231 * * [simplify]: Extracting #7: cost 0 inf + 37811 106.239 * * [simplify]: Extracting #8: cost 0 inf + 37809 106.255 * [simplify]: Simplified to (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k))) 106.255 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (+ (* (/ (+ -1 k) 2) (+ (log PI) (log 2))) (log (sqrt k)))))) 106.255 * * * * [progress]: [ 83 / 287 ] simplifiying candidate # 106.256 * [simplify]: Simplifying (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))) 106.256 * * [simplify]: iters left: 6 (14 enodes) 106.264 * * [simplify]: iters left: 5 (63 enodes) 106.287 * * [simplify]: iters left: 4 (124 enodes) 106.334 * * [simplify]: iters left: 3 (244 enodes) 106.394 * * [simplify]: Extracting #0: cost 1 inf + 0 106.394 * * [simplify]: Extracting #1: cost 23 inf + 0 106.394 * * [simplify]: Extracting #2: cost 115 inf + 0 106.395 * * [simplify]: Extracting #3: cost 169 inf + 74 106.396 * * [simplify]: Extracting #4: cost 144 inf + 4821 106.399 * * [simplify]: Extracting #5: cost 56 inf + 22270 106.408 * * [simplify]: Extracting #6: cost 3 inf + 40165 106.415 * * [simplify]: Extracting #7: cost 0 inf + 41951 106.422 * [simplify]: Simplified to (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2)) 106.422 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (* (- 1 k) (+ (log 2) (log PI))) 2))))) 106.422 * * * * [progress]: [ 84 / 287 ] simplifiying candidate # 106.422 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 106.423 * * [simplify]: iters left: 6 (14 enodes) 106.427 * * [simplify]: iters left: 5 (63 enodes) 106.442 * * [simplify]: iters left: 4 (124 enodes) 106.484 * * [simplify]: iters left: 3 (244 enodes) 106.542 * * [simplify]: Extracting #0: cost 1 inf + 0 106.542 * * [simplify]: Extracting #1: cost 25 inf + 0 106.543 * * [simplify]: Extracting #2: cost 116 inf + 0 106.543 * * [simplify]: Extracting #3: cost 171 inf + 3 106.544 * * [simplify]: Extracting #4: cost 161 inf + 2604 106.547 * * [simplify]: Extracting #5: cost 86 inf + 17363 106.553 * * [simplify]: Extracting #6: cost 4 inf + 41642 106.560 * * [simplify]: Extracting #7: cost 0 inf + 42394 106.572 * * [simplify]: Extracting #8: cost 0 inf + 42389 106.587 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log PI) (log 2))))) 106.587 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))))))) 106.587 * * * * [progress]: [ 85 / 287 ] simplifiying candidate # 106.587 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))) 106.588 * * [simplify]: iters left: 6 (14 enodes) 106.593 * * [simplify]: iters left: 5 (63 enodes) 106.608 * * [simplify]: iters left: 4 (124 enodes) 106.640 * * [simplify]: iters left: 3 (244 enodes) 106.722 * * [simplify]: Extracting #0: cost 1 inf + 0 106.722 * * [simplify]: Extracting #1: cost 25 inf + 0 106.722 * * [simplify]: Extracting #2: cost 116 inf + 0 106.723 * * [simplify]: Extracting #3: cost 171 inf + 3 106.724 * * [simplify]: Extracting #4: cost 161 inf + 2604 106.726 * * [simplify]: Extracting #5: cost 86 inf + 17363 106.739 * * [simplify]: Extracting #6: cost 4 inf + 41642 106.754 * * [simplify]: Extracting #7: cost 0 inf + 42394 106.768 * * [simplify]: Extracting #8: cost 0 inf + 42389 106.782 * [simplify]: Simplified to (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log PI) (log 2))))) 106.782 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))))))) 106.783 * * * * [progress]: [ 86 / 287 ] simplifiying candidate # 106.783 * [simplify]: Simplifying (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))) 106.783 * * [simplify]: iters left: 6 (14 enodes) 106.791 * * [simplify]: iters left: 5 (64 enodes) 106.815 * * [simplify]: iters left: 4 (121 enodes) 106.862 * * [simplify]: iters left: 3 (260 enodes) 106.928 * * [simplify]: Extracting #0: cost 1 inf + 0 106.928 * * [simplify]: Extracting #1: cost 33 inf + 0 106.928 * * [simplify]: Extracting #2: cost 147 inf + 0 106.929 * * [simplify]: Extracting #3: cost 212 inf + 2 106.930 * * [simplify]: Extracting #4: cost 182 inf + 9417 106.939 * * [simplify]: Extracting #5: cost 66 inf + 40113 106.950 * * [simplify]: Extracting #6: cost 7 inf + 61269 106.960 * * [simplify]: Extracting #7: cost 0 inf + 63910 106.971 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))) 106.971 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))))) 106.971 * * * * [progress]: [ 87 / 287 ] simplifiying candidate # 106.971 * [simplify]: Simplifying (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 106.971 * * [simplify]: iters left: 6 (13 enodes) 106.975 * * [simplify]: iters left: 5 (58 enodes) 106.993 * * [simplify]: iters left: 4 (121 enodes) 107.022 * * [simplify]: iters left: 3 (283 enodes) 107.146 * * [simplify]: Extracting #0: cost 1 inf + 0 107.146 * * [simplify]: Extracting #1: cost 28 inf + 0 107.147 * * [simplify]: Extracting #2: cost 124 inf + 0 107.148 * * [simplify]: Extracting #3: cost 201 inf + 2 107.151 * * [simplify]: Extracting #4: cost 215 inf + 9412 107.168 * * [simplify]: Extracting #5: cost 66 inf + 80662 107.197 * * [simplify]: Extracting #6: cost 2 inf + 108808 107.221 * * [simplify]: Extracting #7: cost 0 inf + 107198 107.239 * [simplify]: Simplified to (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))) 107.239 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (exp (- (log (sqrt k)) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))))) 107.239 * * * * [progress]: [ 88 / 287 ] simplifiying candidate # 107.240 * * * * [progress]: [ 89 / 287 ] simplifiying candidate # 107.240 * * * * [progress]: [ 90 / 287 ] simplifiying candidate # 107.240 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 107.240 * * [simplify]: iters left: 6 (17 enodes) 107.248 * * [simplify]: iters left: 5 (80 enodes) 107.280 * * [simplify]: iters left: 4 (241 enodes) 107.500 * * [simplify]: Extracting #0: cost 1 inf + 0 107.501 * * [simplify]: Extracting #1: cost 125 inf + 0 107.503 * * [simplify]: Extracting #2: cost 305 inf + 123 107.505 * * [simplify]: Extracting #3: cost 337 inf + 248 107.508 * * [simplify]: Extracting #4: cost 337 inf + 502 107.515 * * [simplify]: Extracting #5: cost 266 inf + 32264 107.551 * * [simplify]: Extracting #6: cost 77 inf + 161434 107.606 * * [simplify]: Extracting #7: cost 0 inf + 214175 107.654 * * [simplify]: Extracting #8: cost 0 inf + 212103 107.687 * * [simplify]: Extracting #9: cost 0 inf + 212023 107.717 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 107.717 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (* k (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))))) 107.717 * * * * [progress]: [ 91 / 287 ] simplifiying candidate # 107.718 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 107.718 * * [simplify]: iters left: 6 (15 enodes) 107.726 * * [simplify]: iters left: 5 (75 enodes) 107.750 * * [simplify]: iters left: 4 (260 enodes) 108.008 * * [simplify]: Extracting #0: cost 1 inf + 0 108.008 * * [simplify]: Extracting #1: cost 194 inf + 0 108.011 * * [simplify]: Extracting #2: cost 421 inf + 123 108.020 * * [simplify]: Extracting #3: cost 463 inf + 248 108.024 * * [simplify]: Extracting #4: cost 465 inf + 294 108.040 * * [simplify]: Extracting #5: cost 346 inf + 64928 108.089 * * [simplify]: Extracting #6: cost 161 inf + 195060 108.169 * * [simplify]: Extracting #7: cost 7 inf + 325750 108.259 * * [simplify]: Extracting #8: cost 0 inf + 326696 108.349 * * [simplify]: Extracting #9: cost 0 inf + 325259 108.441 * * [simplify]: Extracting #10: cost 0 inf + 325179 108.502 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 108.502 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (* k (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))))) 108.502 * * * * [progress]: [ 92 / 287 ] simplifiying candidate # 108.502 * * * * [progress]: [ 93 / 287 ] simplifiying candidate # 108.502 * * * * [progress]: [ 94 / 287 ] simplifiying candidate # 108.502 * * * * [progress]: [ 95 / 287 ] simplifiying candidate # 108.502 * * * * [progress]: [ 96 / 287 ] simplifiying candidate # 108.503 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 108.503 * * [simplify]: iters left: 6 (10 enodes) 108.509 * * [simplify]: iters left: 5 (43 enodes) 108.525 * * [simplify]: iters left: 4 (73 enodes) 108.550 * * [simplify]: iters left: 3 (133 enodes) 108.583 * * [simplify]: iters left: 2 (286 enodes) 108.692 * * [simplify]: Extracting #0: cost 1 inf + 0 108.693 * * [simplify]: Extracting #1: cost 43 inf + 0 108.693 * * [simplify]: Extracting #2: cost 142 inf + 0 108.694 * * [simplify]: Extracting #3: cost 200 inf + 3 108.695 * * [simplify]: Extracting #4: cost 180 inf + 4274 108.703 * * [simplify]: Extracting #5: cost 98 inf + 36344 108.725 * * [simplify]: Extracting #6: cost 12 inf + 93028 108.750 * * [simplify]: Extracting #7: cost 0 inf + 101774 108.765 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) 108.765 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 108.765 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 108.765 * * [simplify]: iters left: 6 (10 enodes) 108.768 * * [simplify]: iters left: 5 (41 enodes) 108.776 * * [simplify]: iters left: 4 (64 enodes) 108.802 * * [simplify]: iters left: 3 (104 enodes) 108.825 * * [simplify]: iters left: 2 (198 enodes) 108.874 * * [simplify]: iters left: 1 (377 enodes) 109.007 * * [simplify]: Extracting #0: cost 1 inf + 0 109.007 * * [simplify]: Extracting #1: cost 6 inf + 0 109.007 * * [simplify]: Extracting #2: cost 39 inf + 0 109.007 * * [simplify]: Extracting #3: cost 126 inf + 2 109.008 * * [simplify]: Extracting #4: cost 186 inf + 376 109.009 * * [simplify]: Extracting #5: cost 156 inf + 5774 109.014 * * [simplify]: Extracting #6: cost 69 inf + 27838 109.024 * * [simplify]: Extracting #7: cost 11 inf + 62693 109.042 * * [simplify]: Extracting #8: cost 0 inf + 68967 109.052 * * [simplify]: Extracting #9: cost 0 inf + 68242 109.066 * * [simplify]: Extracting #10: cost 0 inf + 67990 109.076 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 109.076 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 109.077 * * * * [progress]: [ 97 / 287 ] simplifiying candidate # 109.077 * [simplify]: Simplifying (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) 109.077 * * [simplify]: iters left: 6 (10 enodes) 109.083 * * [simplify]: iters left: 5 (42 enodes) 109.096 * * [simplify]: iters left: 4 (65 enodes) 109.108 * * [simplify]: iters left: 3 (105 enodes) 109.131 * * [simplify]: iters left: 2 (202 enodes) 109.189 * * [simplify]: iters left: 1 (383 enodes) 109.329 * * [simplify]: Extracting #0: cost 1 inf + 0 109.329 * * [simplify]: Extracting #1: cost 6 inf + 0 109.329 * * [simplify]: Extracting #2: cost 38 inf + 0 109.329 * * [simplify]: Extracting #3: cost 123 inf + 2 109.330 * * [simplify]: Extracting #4: cost 155 inf + 1572 109.332 * * [simplify]: Extracting #5: cost 102 inf + 10844 109.337 * * [simplify]: Extracting #6: cost 33 inf + 42002 109.346 * * [simplify]: Extracting #7: cost 3 inf + 61076 109.359 * * [simplify]: Extracting #8: cost 0 inf + 62911 109.368 * [simplify]: Simplified to (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) 109.369 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (fabs (cbrt k)) (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 109.369 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 109.369 * * [simplify]: iters left: 6 (10 enodes) 109.372 * * [simplify]: iters left: 5 (41 enodes) 109.384 * * [simplify]: iters left: 4 (64 enodes) 109.404 * * [simplify]: iters left: 3 (104 enodes) 109.429 * * [simplify]: iters left: 2 (198 enodes) 109.497 * * [simplify]: iters left: 1 (377 enodes) 109.675 * * [simplify]: Extracting #0: cost 1 inf + 0 109.675 * * [simplify]: Extracting #1: cost 6 inf + 0 109.675 * * [simplify]: Extracting #2: cost 39 inf + 0 109.676 * * [simplify]: Extracting #3: cost 126 inf + 2 109.676 * * [simplify]: Extracting #4: cost 186 inf + 456 109.678 * * [simplify]: Extracting #5: cost 156 inf + 5854 109.682 * * [simplify]: Extracting #6: cost 69 inf + 27918 109.690 * * [simplify]: Extracting #7: cost 11 inf + 62773 109.703 * * [simplify]: Extracting #8: cost 0 inf + 69047 109.713 * * [simplify]: Extracting #9: cost 0 inf + 68322 109.723 * * [simplify]: Extracting #10: cost 0 inf + 68070 109.741 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 109.741 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 109.741 * * * * [progress]: [ 98 / 287 ] simplifiying candidate # 109.741 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 109.742 * * [simplify]: iters left: 6 (9 enodes) 109.747 * * [simplify]: iters left: 5 (38 enodes) 109.760 * * [simplify]: iters left: 4 (61 enodes) 109.780 * * [simplify]: iters left: 3 (101 enodes) 109.818 * * [simplify]: iters left: 2 (195 enodes) 109.892 * * [simplify]: iters left: 1 (357 enodes) 110.035 * * [simplify]: Extracting #0: cost 1 inf + 0 110.035 * * [simplify]: Extracting #1: cost 6 inf + 0 110.035 * * [simplify]: Extracting #2: cost 38 inf + 0 110.036 * * [simplify]: Extracting #3: cost 118 inf + 2 110.037 * * [simplify]: Extracting #4: cost 169 inf + 296 110.040 * * [simplify]: Extracting #5: cost 140 inf + 2907 110.045 * * [simplify]: Extracting #6: cost 87 inf + 10499 110.060 * * [simplify]: Extracting #7: cost 35 inf + 36428 110.076 * * [simplify]: Extracting #8: cost 1 inf + 61081 110.093 * * [simplify]: Extracting #9: cost 0 inf + 61077 110.110 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 110.110 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 110.111 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 110.111 * * [simplify]: iters left: 6 (10 enodes) 110.117 * * [simplify]: iters left: 5 (41 enodes) 110.131 * * [simplify]: iters left: 4 (64 enodes) 110.146 * * [simplify]: iters left: 3 (104 enodes) 110.167 * * [simplify]: iters left: 2 (198 enodes) 110.229 * * [simplify]: iters left: 1 (377 enodes) 110.398 * * [simplify]: Extracting #0: cost 1 inf + 0 110.398 * * [simplify]: Extracting #1: cost 6 inf + 0 110.398 * * [simplify]: Extracting #2: cost 39 inf + 0 110.399 * * [simplify]: Extracting #3: cost 126 inf + 2 110.400 * * [simplify]: Extracting #4: cost 186 inf + 296 110.408 * * [simplify]: Extracting #5: cost 156 inf + 5614 110.417 * * [simplify]: Extracting #6: cost 69 inf + 27398 110.433 * * [simplify]: Extracting #7: cost 11 inf + 61853 110.450 * * [simplify]: Extracting #8: cost 0 inf + 68047 110.469 * * [simplify]: Extracting #9: cost 0 inf + 67322 110.488 * * [simplify]: Extracting #10: cost 0 inf + 67070 110.506 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 110.506 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 110.506 * * * * [progress]: [ 99 / 287 ] simplifiying candidate # 110.507 * [simplify]: Simplifying (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) 110.507 * * [simplify]: iters left: 6 (8 enodes) 110.513 * * [simplify]: iters left: 5 (35 enodes) 110.526 * * [simplify]: iters left: 4 (58 enodes) 110.545 * * [simplify]: iters left: 3 (95 enodes) 110.586 * * [simplify]: iters left: 2 (187 enodes) 110.644 * * [simplify]: iters left: 1 (356 enodes) 110.763 * * [simplify]: Extracting #0: cost 1 inf + 0 110.763 * * [simplify]: Extracting #1: cost 6 inf + 0 110.764 * * [simplify]: Extracting #2: cost 32 inf + 1 110.764 * * [simplify]: Extracting #3: cost 119 inf + 3 110.765 * * [simplify]: Extracting #4: cost 168 inf + 8 110.767 * * [simplify]: Extracting #5: cost 167 inf + 640 110.772 * * [simplify]: Extracting #6: cost 87 inf + 21407 110.788 * * [simplify]: Extracting #7: cost 13 inf + 58506 110.802 * * [simplify]: Extracting #8: cost 0 inf + 61597 110.812 * * [simplify]: Extracting #9: cost 0 inf + 60658 110.823 * [simplify]: Simplified to (/ 1 (pow 2 (* 1/2 (- 1 k)))) 110.823 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (* 1/2 (- 1 k)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 110.824 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 110.824 * * [simplify]: iters left: 6 (9 enodes) 110.829 * * [simplify]: iters left: 5 (38 enodes) 110.842 * * [simplify]: iters left: 4 (61 enodes) 110.861 * * [simplify]: iters left: 3 (101 enodes) 110.885 * * [simplify]: iters left: 2 (195 enodes) 110.924 * * [simplify]: iters left: 1 (362 enodes) 111.066 * * [simplify]: Extracting #0: cost 1 inf + 0 111.066 * * [simplify]: Extracting #1: cost 6 inf + 0 111.066 * * [simplify]: Extracting #2: cost 39 inf + 0 111.067 * * [simplify]: Extracting #3: cost 117 inf + 44 111.068 * * [simplify]: Extracting #4: cost 171 inf + 135 111.070 * * [simplify]: Extracting #5: cost 142 inf + 3046 111.076 * * [simplify]: Extracting #6: cost 72 inf + 16109 111.089 * * [simplify]: Extracting #7: cost 17 inf + 48084 111.098 * * [simplify]: Extracting #8: cost 0 inf + 62866 111.108 * * [simplify]: Extracting #9: cost 0 inf + 62600 111.117 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 111.117 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt 1) (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 111.117 * * * * [progress]: [ 100 / 287 ] simplifiying candidate # 111.117 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 111.117 * * [simplify]: iters left: 6 (9 enodes) 111.122 * * [simplify]: iters left: 5 (38 enodes) 111.135 * * [simplify]: iters left: 4 (61 enodes) 111.156 * * [simplify]: iters left: 3 (101 enodes) 111.568 * * [simplify]: iters left: 2 (195 enodes) 111.634 * * [simplify]: iters left: 1 (357 enodes) 111.745 * * [simplify]: Extracting #0: cost 1 inf + 0 111.745 * * [simplify]: Extracting #1: cost 6 inf + 0 111.745 * * [simplify]: Extracting #2: cost 38 inf + 0 111.746 * * [simplify]: Extracting #3: cost 118 inf + 2 111.747 * * [simplify]: Extracting #4: cost 169 inf + 296 111.749 * * [simplify]: Extracting #5: cost 140 inf + 2907 111.754 * * [simplify]: Extracting #6: cost 87 inf + 10499 111.764 * * [simplify]: Extracting #7: cost 35 inf + 36428 111.780 * * [simplify]: Extracting #8: cost 1 inf + 61081 111.797 * * [simplify]: Extracting #9: cost 0 inf + 61077 111.815 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) 111.815 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 111.815 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 111.816 * * [simplify]: iters left: 6 (10 enodes) 111.821 * * [simplify]: iters left: 5 (41 enodes) 111.835 * * [simplify]: iters left: 4 (64 enodes) 111.855 * * [simplify]: iters left: 3 (104 enodes) 111.898 * * [simplify]: iters left: 2 (198 enodes) 111.970 * * [simplify]: iters left: 1 (377 enodes) 112.132 * * [simplify]: Extracting #0: cost 1 inf + 0 112.132 * * [simplify]: Extracting #1: cost 6 inf + 0 112.132 * * [simplify]: Extracting #2: cost 39 inf + 0 112.132 * * [simplify]: Extracting #3: cost 126 inf + 2 112.133 * * [simplify]: Extracting #4: cost 186 inf + 296 112.135 * * [simplify]: Extracting #5: cost 156 inf + 5614 112.139 * * [simplify]: Extracting #6: cost 69 inf + 27398 112.147 * * [simplify]: Extracting #7: cost 11 inf + 61853 112.161 * * [simplify]: Extracting #8: cost 0 inf + 68047 112.180 * * [simplify]: Extracting #9: cost 0 inf + 67322 112.199 * * [simplify]: Extracting #10: cost 0 inf + 67070 112.212 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 112.212 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 112.212 * * * * [progress]: [ 101 / 287 ] simplifiying candidate # 112.213 * [simplify]: Simplifying (/ 1 (pow 2 (/ (- 1 k) 2))) 112.213 * * [simplify]: iters left: 6 (7 enodes) 112.218 * * [simplify]: iters left: 5 (32 enodes) 112.224 * * [simplify]: iters left: 4 (55 enodes) 112.234 * * [simplify]: iters left: 3 (92 enodes) 112.262 * * [simplify]: iters left: 2 (184 enodes) 112.313 * * [simplify]: iters left: 1 (350 enodes) 112.414 * * [simplify]: Extracting #0: cost 1 inf + 0 112.415 * * [simplify]: Extracting #1: cost 6 inf + 0 112.415 * * [simplify]: Extracting #2: cost 36 inf + 1 112.415 * * [simplify]: Extracting #3: cost 112 inf + 3 112.416 * * [simplify]: Extracting #4: cost 158 inf + 8 112.416 * * [simplify]: Extracting #5: cost 156 inf + 99 112.417 * * [simplify]: Extracting #6: cost 114 inf + 4130 112.420 * * [simplify]: Extracting #7: cost 67 inf + 16247 112.426 * * [simplify]: Extracting #8: cost 19 inf + 47781 112.435 * * [simplify]: Extracting #9: cost 0 inf + 61493 112.444 * * [simplify]: Extracting #10: cost 0 inf + 61413 112.452 * [simplify]: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 112.453 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 112.453 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 112.453 * * [simplify]: iters left: 6 (9 enodes) 112.457 * * [simplify]: iters left: 5 (38 enodes) 112.470 * * [simplify]: iters left: 4 (61 enodes) 112.494 * * [simplify]: iters left: 3 (101 enodes) 112.532 * * [simplify]: iters left: 2 (195 enodes) 112.588 * * [simplify]: iters left: 1 (362 enodes) 112.744 * * [simplify]: Extracting #0: cost 1 inf + 0 112.745 * * [simplify]: Extracting #1: cost 6 inf + 0 112.745 * * [simplify]: Extracting #2: cost 39 inf + 0 112.745 * * [simplify]: Extracting #3: cost 117 inf + 44 112.747 * * [simplify]: Extracting #4: cost 171 inf + 135 112.749 * * [simplify]: Extracting #5: cost 142 inf + 3046 112.755 * * [simplify]: Extracting #6: cost 72 inf + 16109 112.767 * * [simplify]: Extracting #7: cost 17 inf + 48084 112.784 * * [simplify]: Extracting #8: cost 0 inf + 62866 112.802 * * [simplify]: Extracting #9: cost 0 inf + 62600 112.820 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 112.820 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ 1 (pow 2 (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 112.820 * * * * [progress]: [ 102 / 287 ] simplifiying candidate # 112.820 * * * * [progress]: [ 103 / 287 ] simplifiying candidate # 112.820 * * * * [progress]: [ 104 / 287 ] simplifiying candidate # 112.820 * * * * [progress]: [ 105 / 287 ] simplifiying candidate # 112.821 * [simplify]: Simplifying (pow PI (/ (- 1 k) 2)) 112.821 * * [simplify]: iters left: 5 (7 enodes) 112.825 * * [simplify]: iters left: 4 (32 enodes) 112.837 * * [simplify]: iters left: 3 (57 enodes) 112.860 * * [simplify]: iters left: 2 (88 enodes) 112.878 * * [simplify]: iters left: 1 (156 enodes) 112.927 * * [simplify]: Extracting #0: cost 1 inf + 0 112.927 * * [simplify]: Extracting #1: cost 13 inf + 0 112.927 * * [simplify]: Extracting #2: cost 49 inf + 2 112.927 * * [simplify]: Extracting #3: cost 80 inf + 6 112.928 * * [simplify]: Extracting #4: cost 58 inf + 1840 112.931 * * [simplify]: Extracting #5: cost 22 inf + 9206 112.937 * * [simplify]: Extracting #6: cost 1 inf + 20886 112.943 * * [simplify]: Extracting #7: cost 0 inf + 21301 112.949 * * [simplify]: Extracting #8: cost 0 inf + 21130 112.955 * [simplify]: Simplified to (pow PI (/ (- 1 k) 2)) 112.955 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 112.955 * * * * [progress]: [ 106 / 287 ] simplifiying candidate # 112.955 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.956 * * [simplify]: iters left: 4 (4 enodes) 112.957 * * [simplify]: iters left: 3 (12 enodes) 112.961 * * [simplify]: Extracting #0: cost 1 inf + 0 112.961 * * [simplify]: Extracting #1: cost 3 inf + 0 112.961 * * [simplify]: Extracting #2: cost 5 inf + 0 112.961 * * [simplify]: Extracting #3: cost 7 inf + 0 112.961 * * [simplify]: Extracting #4: cost 6 inf + 1 112.961 * * [simplify]: Extracting #5: cost 0 inf + 647 112.961 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 112.961 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))) 112.961 * * * * [progress]: [ 107 / 287 ] simplifiying candidate # 112.962 * [simplify]: Simplifying (sqrt (* (cbrt k) (cbrt k))) 112.962 * * [simplify]: iters left: 4 (4 enodes) 112.963 * * [simplify]: iters left: 3 (13 enodes) 112.970 * * [simplify]: Extracting #0: cost 1 inf + 0 112.970 * * [simplify]: Extracting #1: cost 4 inf + 0 112.970 * * [simplify]: Extracting #2: cost 7 inf + 0 112.970 * * [simplify]: Extracting #3: cost 6 inf + 1 112.970 * * [simplify]: Extracting #4: cost 0 inf + 647 112.970 * [simplify]: Simplified to (fabs (cbrt k)) 112.970 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (fabs (cbrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (cbrt k)))))) 112.970 * * * * [progress]: [ 108 / 287 ] simplifiying candidate # 112.971 * [simplify]: Simplifying (sqrt (sqrt k)) 112.971 * * [simplify]: iters left: 2 (3 enodes) 112.971 * * [simplify]: iters left: 1 (9 enodes) 112.972 * * [simplify]: Extracting #0: cost 1 inf + 0 112.972 * * [simplify]: Extracting #1: cost 3 inf + 0 112.972 * * [simplify]: Extracting #2: cost 5 inf + 0 112.972 * * [simplify]: Extracting #3: cost 4 inf + 1 112.973 * * [simplify]: Extracting #4: cost 0 inf + 245 112.973 * [simplify]: Simplified to (sqrt (sqrt k)) 112.973 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 112.973 * * * * [progress]: [ 109 / 287 ] simplifiying candidate # 112.973 * [simplify]: Simplifying (sqrt 1) 112.973 * * [simplify]: iters left: 1 (2 enodes) 112.975 * * [simplify]: Extracting #0: cost 1 inf + 0 112.975 * * [simplify]: Extracting #1: cost 0 inf + 1 112.975 * [simplify]: Simplified to 1 112.975 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ 1 (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k))))) 112.975 * * * * [progress]: [ 110 / 287 ] simplifiying candidate # 112.975 * [simplify]: Simplifying (sqrt (sqrt k)) 112.975 * * [simplify]: iters left: 2 (3 enodes) 112.976 * * [simplify]: iters left: 1 (9 enodes) 112.977 * * [simplify]: Extracting #0: cost 1 inf + 0 112.977 * * [simplify]: Extracting #1: cost 3 inf + 0 112.977 * * [simplify]: Extracting #2: cost 5 inf + 0 112.977 * * [simplify]: Extracting #3: cost 4 inf + 1 112.977 * * [simplify]: Extracting #4: cost 0 inf + 245 112.977 * [simplify]: Simplified to (sqrt (sqrt k)) 112.977 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))) 112.977 * * * * [progress]: [ 111 / 287 ] simplifiying candidate # 112.978 * * * * [progress]: [ 112 / 287 ] simplifiying candidate # 112.978 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 112.978 * * [simplify]: iters left: 5 (7 enodes) 112.980 * * [simplify]: iters left: 4 (27 enodes) 112.984 * * [simplify]: iters left: 3 (56 enodes) 112.996 * * [simplify]: iters left: 2 (144 enodes) 113.076 * * [simplify]: Extracting #0: cost 1 inf + 0 113.076 * * [simplify]: Extracting #1: cost 27 inf + 0 113.076 * * [simplify]: Extracting #2: cost 107 inf + 0 113.076 * * [simplify]: Extracting #3: cost 124 inf + 3 113.077 * * [simplify]: Extracting #4: cost 114 inf + 2145 113.078 * * [simplify]: Extracting #5: cost 83 inf + 10231 113.081 * * [simplify]: Extracting #6: cost 29 inf + 39117 113.086 * * [simplify]: Extracting #7: cost 2 inf + 58279 113.092 * * [simplify]: Extracting #8: cost 0 inf + 59617 113.097 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 113.097 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 113.097 * * * * [progress]: [ 113 / 287 ] simplifiying candidate # 113.098 * [simplify]: Simplifying (pow PI (/ k 2)) 113.098 * * [simplify]: iters left: 3 (5 enodes) 113.099 * * [simplify]: iters left: 2 (18 enodes) 113.103 * * [simplify]: iters left: 1 (30 enodes) 113.108 * * [simplify]: Extracting #0: cost 1 inf + 0 113.108 * * [simplify]: Extracting #1: cost 10 inf + 0 113.108 * * [simplify]: Extracting #2: cost 23 inf + 1 113.109 * * [simplify]: Extracting #3: cost 23 inf + 46 113.109 * * [simplify]: Extracting #4: cost 11 inf + 1346 113.109 * * [simplify]: Extracting #5: cost 1 inf + 3938 113.110 * * [simplify]: Extracting #6: cost 0 inf + 4111 113.110 * * [simplify]: Extracting #7: cost 0 inf + 4070 113.111 * [simplify]: Simplified to (pow PI (/ k 2)) 113.111 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))))) 113.111 * * * * [progress]: [ 114 / 287 ] simplifiying candidate # 113.111 * [simplify]: Simplifying (pow 2 (/ k 2)) 113.111 * * [simplify]: iters left: 3 (4 enodes) 113.112 * * [simplify]: iters left: 2 (15 enodes) 113.116 * * [simplify]: iters left: 1 (27 enodes) 113.125 * * [simplify]: Extracting #0: cost 1 inf + 0 113.125 * * [simplify]: Extracting #1: cost 10 inf + 0 113.125 * * [simplify]: Extracting #2: cost 22 inf + 1 113.126 * * [simplify]: Extracting #3: cost 23 inf + 45 113.126 * * [simplify]: Extracting #4: cost 9 inf + 1889 113.127 * * [simplify]: Extracting #5: cost 1 inf + 3931 113.128 * * [simplify]: Extracting #6: cost 0 inf + 4105 113.128 * * [simplify]: Extracting #7: cost 0 inf + 4065 113.129 * [simplify]: Simplified to (pow 2 (/ k 2)) 113.129 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (* (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))))) 113.130 * * * * [progress]: [ 115 / 287 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))> 113.130 * * * * [progress]: [ 116 / 287 ] simplifiying candidate # 113.130 * * * * [progress]: [ 117 / 287 ] simplifiying candidate # 113.130 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 113.131 * * [simplify]: iters left: 6 (18 enodes) 113.140 * * [simplify]: iters left: 5 (82 enodes) 113.172 * * [simplify]: iters left: 4 (166 enodes) 113.229 * * [simplify]: iters left: 3 (300 enodes) 113.349 * * [simplify]: Extracting #0: cost 1 inf + 0 113.349 * * [simplify]: Extracting #1: cost 26 inf + 0 113.350 * * [simplify]: Extracting #2: cost 123 inf + 0 113.350 * * [simplify]: Extracting #3: cost 175 inf + 2 113.351 * * [simplify]: Extracting #4: cost 143 inf + 5241 113.356 * * [simplify]: Extracting #5: cost 36 inf + 29198 113.365 * * [simplify]: Extracting #6: cost 0 inf + 40967 113.374 * * [simplify]: Extracting #7: cost 0 inf + 40965 113.383 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.383 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.383 * * * * [progress]: [ 118 / 287 ] simplifiying candidate # 113.383 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 113.383 * * [simplify]: iters left: 6 (18 enodes) 113.388 * * [simplify]: iters left: 5 (82 enodes) 113.408 * * [simplify]: iters left: 4 (166 enodes) 113.450 * * [simplify]: iters left: 3 (300 enodes) 113.528 * * [simplify]: Extracting #0: cost 1 inf + 0 113.528 * * [simplify]: Extracting #1: cost 26 inf + 0 113.528 * * [simplify]: Extracting #2: cost 123 inf + 0 113.529 * * [simplify]: Extracting #3: cost 175 inf + 2 113.532 * * [simplify]: Extracting #4: cost 143 inf + 5241 113.541 * * [simplify]: Extracting #5: cost 36 inf + 29198 113.551 * * [simplify]: Extracting #6: cost 0 inf + 40967 113.559 * * [simplify]: Extracting #7: cost 0 inf + 40965 113.568 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.568 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.569 * * * * [progress]: [ 119 / 287 ] simplifiying candidate # 113.569 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 113.569 * * [simplify]: iters left: 6 (18 enodes) 113.577 * * [simplify]: iters left: 5 (82 enodes) 113.596 * * [simplify]: iters left: 4 (167 enodes) 113.653 * * [simplify]: iters left: 3 (342 enodes) 113.778 * * [simplify]: Extracting #0: cost 1 inf + 0 113.778 * * [simplify]: Extracting #1: cost 35 inf + 0 113.779 * * [simplify]: Extracting #2: cost 179 inf + 0 113.781 * * [simplify]: Extracting #3: cost 246 inf + 3 113.784 * * [simplify]: Extracting #4: cost 206 inf + 11122 113.796 * * [simplify]: Extracting #5: cost 42 inf + 59470 113.812 * * [simplify]: Extracting #6: cost 1 inf + 72641 113.829 * * [simplify]: Extracting #7: cost 0 inf + 71392 113.855 * * [simplify]: Extracting #8: cost 0 inf + 70906 113.869 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 113.869 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 113.869 * * * * [progress]: [ 120 / 287 ] simplifiying candidate # 113.870 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 113.870 * * [simplify]: iters left: 6 (18 enodes) 113.875 * * [simplify]: iters left: 5 (82 enodes) 113.890 * * [simplify]: iters left: 4 (166 enodes) 113.937 * * [simplify]: iters left: 3 (300 enodes) 114.033 * * [simplify]: Extracting #0: cost 1 inf + 0 114.033 * * [simplify]: Extracting #1: cost 26 inf + 0 114.034 * * [simplify]: Extracting #2: cost 123 inf + 0 114.035 * * [simplify]: Extracting #3: cost 175 inf + 2 114.037 * * [simplify]: Extracting #4: cost 143 inf + 5241 114.047 * * [simplify]: Extracting #5: cost 36 inf + 29198 114.064 * * [simplify]: Extracting #6: cost 0 inf + 40967 114.082 * * [simplify]: Extracting #7: cost 0 inf + 40965 114.100 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.100 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.101 * * * * [progress]: [ 121 / 287 ] simplifiying candidate # 114.101 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 114.101 * * [simplify]: iters left: 6 (18 enodes) 114.111 * * [simplify]: iters left: 5 (82 enodes) 114.128 * * [simplify]: iters left: 4 (166 enodes) 114.172 * * [simplify]: iters left: 3 (300 enodes) 114.286 * * [simplify]: Extracting #0: cost 1 inf + 0 114.286 * * [simplify]: Extracting #1: cost 26 inf + 0 114.286 * * [simplify]: Extracting #2: cost 123 inf + 0 114.287 * * [simplify]: Extracting #3: cost 175 inf + 2 114.288 * * [simplify]: Extracting #4: cost 143 inf + 5241 114.293 * * [simplify]: Extracting #5: cost 36 inf + 29198 114.302 * * [simplify]: Extracting #6: cost 0 inf + 40967 114.320 * * [simplify]: Extracting #7: cost 0 inf + 40965 114.337 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.337 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.338 * * * * [progress]: [ 122 / 287 ] simplifiying candidate # 114.338 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 114.338 * * [simplify]: iters left: 6 (18 enodes) 114.348 * * [simplify]: iters left: 5 (82 enodes) 114.380 * * [simplify]: iters left: 4 (167 enodes) 114.436 * * [simplify]: iters left: 3 (342 enodes) 114.526 * * [simplify]: Extracting #0: cost 1 inf + 0 114.526 * * [simplify]: Extracting #1: cost 35 inf + 0 114.527 * * [simplify]: Extracting #2: cost 179 inf + 0 114.529 * * [simplify]: Extracting #3: cost 246 inf + 3 114.532 * * [simplify]: Extracting #4: cost 206 inf + 11122 114.547 * * [simplify]: Extracting #5: cost 42 inf + 59470 114.564 * * [simplify]: Extracting #6: cost 1 inf + 72641 114.577 * * [simplify]: Extracting #7: cost 0 inf + 71392 114.591 * * [simplify]: Extracting #8: cost 0 inf + 70906 114.618 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 114.618 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 114.618 * * * * [progress]: [ 123 / 287 ] simplifiying candidate # 114.619 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 114.619 * * [simplify]: iters left: 6 (18 enodes) 114.629 * * [simplify]: iters left: 5 (82 enodes) 114.649 * * [simplify]: iters left: 4 (167 enodes) 114.686 * * [simplify]: iters left: 3 (340 enodes) 114.769 * * [simplify]: Extracting #0: cost 1 inf + 0 114.769 * * [simplify]: Extracting #1: cost 35 inf + 0 114.770 * * [simplify]: Extracting #2: cost 180 inf + 0 114.771 * * [simplify]: Extracting #3: cost 247 inf + 3 114.774 * * [simplify]: Extracting #4: cost 211 inf + 9126 114.791 * * [simplify]: Extracting #5: cost 53 inf + 56486 114.819 * * [simplify]: Extracting #6: cost 3 inf + 72373 114.846 * * [simplify]: Extracting #7: cost 0 inf + 72713 114.877 * * [simplify]: Extracting #8: cost 0 inf + 72271 114.890 * * [simplify]: Extracting #9: cost 0 inf + 72190 114.904 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 114.904 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 114.904 * * * * [progress]: [ 124 / 287 ] simplifiying candidate # 114.904 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 114.905 * * [simplify]: iters left: 6 (18 enodes) 114.910 * * [simplify]: iters left: 5 (82 enodes) 114.925 * * [simplify]: iters left: 4 (167 enodes) 114.959 * * [simplify]: iters left: 3 (340 enodes) 115.066 * * [simplify]: Extracting #0: cost 1 inf + 0 115.067 * * [simplify]: Extracting #1: cost 35 inf + 0 115.067 * * [simplify]: Extracting #2: cost 180 inf + 0 115.069 * * [simplify]: Extracting #3: cost 247 inf + 3 115.072 * * [simplify]: Extracting #4: cost 211 inf + 9126 115.090 * * [simplify]: Extracting #5: cost 53 inf + 56486 115.114 * * [simplify]: Extracting #6: cost 3 inf + 72373 115.127 * * [simplify]: Extracting #7: cost 0 inf + 72713 115.149 * * [simplify]: Extracting #8: cost 0 inf + 72271 115.176 * * [simplify]: Extracting #9: cost 0 inf + 72190 115.204 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 115.204 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 115.205 * * * * [progress]: [ 125 / 287 ] simplifiying candidate # 115.205 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 115.205 * * [simplify]: iters left: 6 (18 enodes) 115.215 * * [simplify]: iters left: 5 (83 enodes) 115.244 * * [simplify]: iters left: 4 (173 enodes) 115.290 * * [simplify]: iters left: 3 (365 enodes) 115.413 * * [simplify]: Extracting #0: cost 1 inf + 0 115.413 * * [simplify]: Extracting #1: cost 44 inf + 0 115.414 * * [simplify]: Extracting #2: cost 229 inf + 0 115.416 * * [simplify]: Extracting #3: cost 306 inf + 185 115.421 * * [simplify]: Extracting #4: cost 258 inf + 11407 115.435 * * [simplify]: Extracting #5: cost 116 inf + 53255 115.454 * * [simplify]: Extracting #6: cost 25 inf + 91667 115.473 * * [simplify]: Extracting #7: cost 0 inf + 102705 115.497 * * [simplify]: Extracting #8: cost 0 inf + 102704 115.517 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 115.517 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 115.517 * * * * [progress]: [ 126 / 287 ] simplifiying candidate # 115.517 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 115.518 * * [simplify]: iters left: 6 (17 enodes) 115.527 * * [simplify]: iters left: 5 (77 enodes) 115.549 * * [simplify]: iters left: 4 (161 enodes) 115.589 * * [simplify]: iters left: 3 (367 enodes) 115.749 * * [simplify]: Extracting #0: cost 1 inf + 0 115.749 * * [simplify]: Extracting #1: cost 42 inf + 0 115.750 * * [simplify]: Extracting #2: cost 204 inf + 0 115.752 * * [simplify]: Extracting #3: cost 295 inf + 74 115.755 * * [simplify]: Extracting #4: cost 295 inf + 15946 115.767 * * [simplify]: Extracting #5: cost 157 inf + 57138 115.785 * * [simplify]: Extracting #6: cost 41 inf + 112809 115.815 * * [simplify]: Extracting #7: cost 4 inf + 140460 115.838 * * [simplify]: Extracting #8: cost 0 inf + 143065 115.862 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 115.862 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 115.862 * * * * [progress]: [ 127 / 287 ] simplifiying candidate # 115.862 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 115.862 * * [simplify]: iters left: 6 (16 enodes) 115.871 * * [simplify]: iters left: 5 (72 enodes) 115.890 * * [simplify]: iters left: 4 (147 enodes) 115.918 * * [simplify]: iters left: 3 (331 enodes) 116.026 * * [simplify]: Extracting #0: cost 1 inf + 0 116.026 * * [simplify]: Extracting #1: cost 30 inf + 0 116.026 * * [simplify]: Extracting #2: cost 126 inf + 0 116.027 * * [simplify]: Extracting #3: cost 229 inf + 3 116.028 * * [simplify]: Extracting #4: cost 263 inf + 9036 116.033 * * [simplify]: Extracting #5: cost 172 inf + 34988 116.045 * * [simplify]: Extracting #6: cost 52 inf + 96986 116.068 * * [simplify]: Extracting #7: cost 1 inf + 131212 116.105 * * [simplify]: Extracting #8: cost 0 inf + 130754 116.126 * [simplify]: Simplified to (+ (+ (* (log 2) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))) (* (log PI) (/ (- 1 k) 2))) 116.126 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log 2) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))) (* (log PI) (/ (- 1 k) 2))))) 116.127 * * * * [progress]: [ 128 / 287 ] simplifiying candidate # 116.127 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 116.127 * * [simplify]: iters left: 6 (18 enodes) 116.133 * * [simplify]: iters left: 5 (82 enodes) 116.151 * * [simplify]: iters left: 4 (166 enodes) 116.185 * * [simplify]: iters left: 3 (300 enodes) 116.279 * * [simplify]: Extracting #0: cost 1 inf + 0 116.279 * * [simplify]: Extracting #1: cost 26 inf + 0 116.279 * * [simplify]: Extracting #2: cost 123 inf + 0 116.280 * * [simplify]: Extracting #3: cost 175 inf + 2 116.281 * * [simplify]: Extracting #4: cost 143 inf + 5241 116.286 * * [simplify]: Extracting #5: cost 36 inf + 29198 116.297 * * [simplify]: Extracting #6: cost 0 inf + 40967 116.310 * * [simplify]: Extracting #7: cost 0 inf + 40965 116.328 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 116.328 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 116.328 * * * * [progress]: [ 129 / 287 ] simplifiying candidate # 116.328 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 116.329 * * [simplify]: iters left: 6 (18 enodes) 116.339 * * [simplify]: iters left: 5 (82 enodes) 116.363 * * [simplify]: iters left: 4 (166 enodes) 116.400 * * [simplify]: iters left: 3 (300 enodes) 116.496 * * [simplify]: Extracting #0: cost 1 inf + 0 116.496 * * [simplify]: Extracting #1: cost 26 inf + 0 116.497 * * [simplify]: Extracting #2: cost 123 inf + 0 116.497 * * [simplify]: Extracting #3: cost 175 inf + 2 116.499 * * [simplify]: Extracting #4: cost 143 inf + 5241 116.506 * * [simplify]: Extracting #5: cost 36 inf + 29198 116.515 * * [simplify]: Extracting #6: cost 0 inf + 40967 116.524 * * [simplify]: Extracting #7: cost 0 inf + 40965 116.539 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 116.539 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 116.539 * * * * [progress]: [ 130 / 287 ] simplifiying candidate # 116.540 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 116.540 * * [simplify]: iters left: 6 (18 enodes) 116.550 * * [simplify]: iters left: 5 (82 enodes) 116.567 * * [simplify]: iters left: 4 (167 enodes) 116.602 * * [simplify]: iters left: 3 (342 enodes) 116.717 * * [simplify]: Extracting #0: cost 1 inf + 0 116.717 * * [simplify]: Extracting #1: cost 35 inf + 0 116.718 * * [simplify]: Extracting #2: cost 179 inf + 0 116.718 * * [simplify]: Extracting #3: cost 246 inf + 3 116.720 * * [simplify]: Extracting #4: cost 206 inf + 11122 116.729 * * [simplify]: Extracting #5: cost 42 inf + 59470 116.748 * * [simplify]: Extracting #6: cost 1 inf + 72641 116.775 * * [simplify]: Extracting #7: cost 0 inf + 71392 116.796 * * [simplify]: Extracting #8: cost 0 inf + 70906 116.812 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 116.812 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 116.813 * * * * [progress]: [ 131 / 287 ] simplifiying candidate # 116.813 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 116.813 * * [simplify]: iters left: 6 (18 enodes) 116.818 * * [simplify]: iters left: 5 (82 enodes) 116.833 * * [simplify]: iters left: 4 (166 enodes) 116.870 * * [simplify]: iters left: 3 (300 enodes) 116.962 * * [simplify]: Extracting #0: cost 1 inf + 0 116.962 * * [simplify]: Extracting #1: cost 26 inf + 0 116.962 * * [simplify]: Extracting #2: cost 123 inf + 0 116.964 * * [simplify]: Extracting #3: cost 175 inf + 2 116.966 * * [simplify]: Extracting #4: cost 143 inf + 5241 116.976 * * [simplify]: Extracting #5: cost 36 inf + 29198 116.993 * * [simplify]: Extracting #6: cost 0 inf + 40967 117.005 * * [simplify]: Extracting #7: cost 0 inf + 40965 117.014 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.014 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.015 * * * * [progress]: [ 132 / 287 ] simplifiying candidate # 117.015 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 117.015 * * [simplify]: iters left: 6 (18 enodes) 117.021 * * [simplify]: iters left: 5 (82 enodes) 117.036 * * [simplify]: iters left: 4 (166 enodes) 117.093 * * [simplify]: iters left: 3 (300 enodes) 117.179 * * [simplify]: Extracting #0: cost 1 inf + 0 117.179 * * [simplify]: Extracting #1: cost 26 inf + 0 117.180 * * [simplify]: Extracting #2: cost 123 inf + 0 117.180 * * [simplify]: Extracting #3: cost 175 inf + 2 117.181 * * [simplify]: Extracting #4: cost 143 inf + 5241 117.186 * * [simplify]: Extracting #5: cost 36 inf + 29198 117.197 * * [simplify]: Extracting #6: cost 0 inf + 40967 117.212 * * [simplify]: Extracting #7: cost 0 inf + 40965 117.221 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.221 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.222 * * * * [progress]: [ 133 / 287 ] simplifiying candidate # 117.222 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 117.222 * * [simplify]: iters left: 6 (18 enodes) 117.227 * * [simplify]: iters left: 5 (82 enodes) 117.242 * * [simplify]: iters left: 4 (167 enodes) 117.286 * * [simplify]: iters left: 3 (342 enodes) 117.411 * * [simplify]: Extracting #0: cost 1 inf + 0 117.411 * * [simplify]: Extracting #1: cost 35 inf + 0 117.411 * * [simplify]: Extracting #2: cost 179 inf + 0 117.412 * * [simplify]: Extracting #3: cost 246 inf + 3 117.414 * * [simplify]: Extracting #4: cost 206 inf + 11122 117.423 * * [simplify]: Extracting #5: cost 42 inf + 59470 117.437 * * [simplify]: Extracting #6: cost 1 inf + 72641 117.451 * * [simplify]: Extracting #7: cost 0 inf + 71392 117.465 * * [simplify]: Extracting #8: cost 0 inf + 70906 117.480 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 117.480 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 117.481 * * * * [progress]: [ 134 / 287 ] simplifiying candidate # 117.481 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 117.481 * * [simplify]: iters left: 6 (18 enodes) 117.486 * * [simplify]: iters left: 5 (82 enodes) 117.510 * * [simplify]: iters left: 4 (167 enodes) 117.572 * * [simplify]: iters left: 3 (340 enodes) 117.675 * * [simplify]: Extracting #0: cost 1 inf + 0 117.675 * * [simplify]: Extracting #1: cost 35 inf + 0 117.676 * * [simplify]: Extracting #2: cost 180 inf + 0 117.676 * * [simplify]: Extracting #3: cost 247 inf + 3 117.678 * * [simplify]: Extracting #4: cost 211 inf + 9126 117.690 * * [simplify]: Extracting #5: cost 53 inf + 56486 117.704 * * [simplify]: Extracting #6: cost 3 inf + 72373 117.718 * * [simplify]: Extracting #7: cost 0 inf + 72713 117.731 * * [simplify]: Extracting #8: cost 0 inf + 72271 117.745 * * [simplify]: Extracting #9: cost 0 inf + 72190 117.759 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 117.759 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 117.759 * * * * [progress]: [ 135 / 287 ] simplifiying candidate # 117.759 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 117.759 * * [simplify]: iters left: 6 (18 enodes) 117.769 * * [simplify]: iters left: 5 (82 enodes) 117.794 * * [simplify]: iters left: 4 (167 enodes) 117.832 * * [simplify]: iters left: 3 (340 enodes) 117.948 * * [simplify]: Extracting #0: cost 1 inf + 0 117.948 * * [simplify]: Extracting #1: cost 35 inf + 0 117.949 * * [simplify]: Extracting #2: cost 180 inf + 0 117.950 * * [simplify]: Extracting #3: cost 247 inf + 3 117.951 * * [simplify]: Extracting #4: cost 211 inf + 9126 117.961 * * [simplify]: Extracting #5: cost 53 inf + 56486 117.978 * * [simplify]: Extracting #6: cost 3 inf + 72373 118.001 * * [simplify]: Extracting #7: cost 0 inf + 72713 118.029 * * [simplify]: Extracting #8: cost 0 inf + 72271 118.047 * * [simplify]: Extracting #9: cost 0 inf + 72190 118.061 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 118.061 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 118.061 * * * * [progress]: [ 136 / 287 ] simplifiying candidate # 118.061 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 118.062 * * [simplify]: iters left: 6 (18 enodes) 118.067 * * [simplify]: iters left: 5 (83 enodes) 118.084 * * [simplify]: iters left: 4 (173 enodes) 118.119 * * [simplify]: iters left: 3 (365 enodes) 118.227 * * [simplify]: Extracting #0: cost 1 inf + 0 118.227 * * [simplify]: Extracting #1: cost 44 inf + 0 118.228 * * [simplify]: Extracting #2: cost 229 inf + 0 118.229 * * [simplify]: Extracting #3: cost 306 inf + 185 118.231 * * [simplify]: Extracting #4: cost 258 inf + 11407 118.244 * * [simplify]: Extracting #5: cost 116 inf + 53255 118.264 * * [simplify]: Extracting #6: cost 25 inf + 91667 118.283 * * [simplify]: Extracting #7: cost 0 inf + 102705 118.303 * * [simplify]: Extracting #8: cost 0 inf + 102704 118.327 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 118.327 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 118.327 * * * * [progress]: [ 137 / 287 ] simplifiying candidate # 118.327 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 118.327 * * [simplify]: iters left: 6 (17 enodes) 118.332 * * [simplify]: iters left: 5 (77 enodes) 118.351 * * [simplify]: iters left: 4 (161 enodes) 118.386 * * [simplify]: iters left: 3 (367 enodes) 118.583 * * [simplify]: Extracting #0: cost 1 inf + 0 118.583 * * [simplify]: Extracting #1: cost 42 inf + 0 118.583 * * [simplify]: Extracting #2: cost 204 inf + 0 118.584 * * [simplify]: Extracting #3: cost 295 inf + 74 118.587 * * [simplify]: Extracting #4: cost 295 inf + 15946 118.595 * * [simplify]: Extracting #5: cost 157 inf + 57138 118.613 * * [simplify]: Extracting #6: cost 41 inf + 112809 118.646 * * [simplify]: Extracting #7: cost 4 inf + 140460 118.691 * * [simplify]: Extracting #8: cost 0 inf + 143065 118.735 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 118.735 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 118.736 * * * * [progress]: [ 138 / 287 ] simplifiying candidate # 118.736 * [simplify]: Simplifying (- (* (log n) (/ (- 1 k) 2)) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 118.736 * * [simplify]: iters left: 6 (16 enodes) 118.742 * * [simplify]: iters left: 5 (72 enodes) 118.756 * * [simplify]: iters left: 4 (147 enodes) 118.798 * * [simplify]: iters left: 3 (331 enodes) 118.958 * * [simplify]: Extracting #0: cost 1 inf + 0 118.958 * * [simplify]: Extracting #1: cost 30 inf + 0 118.959 * * [simplify]: Extracting #2: cost 126 inf + 0 118.960 * * [simplify]: Extracting #3: cost 229 inf + 3 118.963 * * [simplify]: Extracting #4: cost 263 inf + 9036 118.973 * * [simplify]: Extracting #5: cost 172 inf + 34988 118.991 * * [simplify]: Extracting #6: cost 52 inf + 96986 119.009 * * [simplify]: Extracting #7: cost 1 inf + 131212 119.043 * * [simplify]: Extracting #8: cost 0 inf + 130754 119.076 * [simplify]: Simplified to (+ (+ (* (log 2) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))) (* (log PI) (/ (- 1 k) 2))) 119.076 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (+ (* (log 2) (/ (- 1 k) 2)) (- (* (/ (- 1 k) 2) (log n)) (log (sqrt k)))) (* (log PI) (/ (- 1 k) 2))))) 119.076 * * * * [progress]: [ 139 / 287 ] simplifiying candidate # 119.077 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 119.077 * * [simplify]: iters left: 6 (18 enodes) 119.087 * * [simplify]: iters left: 5 (84 enodes) 119.116 * * [simplify]: iters left: 4 (176 enodes) 119.157 * * [simplify]: iters left: 3 (357 enodes) 119.278 * * [simplify]: Extracting #0: cost 1 inf + 0 119.278 * * [simplify]: Extracting #1: cost 35 inf + 0 119.279 * * [simplify]: Extracting #2: cost 167 inf + 0 119.281 * * [simplify]: Extracting #3: cost 247 inf + 3 119.284 * * [simplify]: Extracting #4: cost 218 inf + 7980 119.300 * * [simplify]: Extracting #5: cost 50 inf + 53245 119.322 * * [simplify]: Extracting #6: cost 1 inf + 68087 119.336 * * [simplify]: Extracting #7: cost 0 inf + 67743 119.352 * * [simplify]: Extracting #8: cost 0 inf + 67463 119.378 * * [simplify]: Extracting #9: cost 0 inf + 67423 119.404 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 119.404 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 119.405 * * * * [progress]: [ 140 / 287 ] simplifiying candidate # 119.405 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 119.405 * * [simplify]: iters left: 6 (18 enodes) 119.416 * * [simplify]: iters left: 5 (84 enodes) 119.446 * * [simplify]: iters left: 4 (176 enodes) 119.504 * * [simplify]: iters left: 3 (357 enodes) 119.622 * * [simplify]: Extracting #0: cost 1 inf + 0 119.622 * * [simplify]: Extracting #1: cost 35 inf + 0 119.623 * * [simplify]: Extracting #2: cost 167 inf + 0 119.625 * * [simplify]: Extracting #3: cost 247 inf + 3 119.628 * * [simplify]: Extracting #4: cost 218 inf + 7980 119.644 * * [simplify]: Extracting #5: cost 50 inf + 53245 119.674 * * [simplify]: Extracting #6: cost 1 inf + 68087 119.687 * * [simplify]: Extracting #7: cost 0 inf + 67743 119.700 * * [simplify]: Extracting #8: cost 0 inf + 67463 119.721 * * [simplify]: Extracting #9: cost 0 inf + 67423 119.747 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 119.747 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 119.747 * * * * [progress]: [ 141 / 287 ] simplifiying candidate # 119.748 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 119.748 * * [simplify]: iters left: 6 (18 enodes) 119.758 * * [simplify]: iters left: 5 (83 enodes) 119.786 * * [simplify]: iters left: 4 (173 enodes) 119.824 * * [simplify]: iters left: 3 (364 enodes) 119.973 * * [simplify]: Extracting #0: cost 1 inf + 0 119.973 * * [simplify]: Extracting #1: cost 44 inf + 0 119.974 * * [simplify]: Extracting #2: cost 219 inf + 0 119.975 * * [simplify]: Extracting #3: cost 293 inf + 296 119.977 * * [simplify]: Extracting #4: cost 252 inf + 10758 119.985 * * [simplify]: Extracting #5: cost 112 inf + 54675 120.009 * * [simplify]: Extracting #6: cost 22 inf + 89529 120.044 * * [simplify]: Extracting #7: cost 0 inf + 98600 120.079 * * [simplify]: Extracting #8: cost 0 inf + 98558 120.115 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 120.115 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 120.115 * * * * [progress]: [ 142 / 287 ] simplifiying candidate # 120.115 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 120.116 * * [simplify]: iters left: 6 (18 enodes) 120.126 * * [simplify]: iters left: 5 (84 enodes) 120.158 * * [simplify]: iters left: 4 (176 enodes) 120.193 * * [simplify]: iters left: 3 (357 enodes) 120.329 * * [simplify]: Extracting #0: cost 1 inf + 0 120.329 * * [simplify]: Extracting #1: cost 35 inf + 0 120.330 * * [simplify]: Extracting #2: cost 167 inf + 0 120.331 * * [simplify]: Extracting #3: cost 247 inf + 3 120.334 * * [simplify]: Extracting #4: cost 218 inf + 7980 120.351 * * [simplify]: Extracting #5: cost 50 inf + 53245 120.371 * * [simplify]: Extracting #6: cost 1 inf + 68087 120.384 * * [simplify]: Extracting #7: cost 0 inf + 67743 120.403 * * [simplify]: Extracting #8: cost 0 inf + 67463 120.428 * * [simplify]: Extracting #9: cost 0 inf + 67423 120.454 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 120.455 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 120.455 * * * * [progress]: [ 143 / 287 ] simplifiying candidate # 120.455 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) 120.455 * * [simplify]: iters left: 6 (18 enodes) 120.465 * * [simplify]: iters left: 5 (84 enodes) 120.496 * * [simplify]: iters left: 4 (176 enodes) 120.534 * * [simplify]: iters left: 3 (357 enodes) 120.676 * * [simplify]: Extracting #0: cost 1 inf + 0 120.676 * * [simplify]: Extracting #1: cost 35 inf + 0 120.677 * * [simplify]: Extracting #2: cost 167 inf + 0 120.678 * * [simplify]: Extracting #3: cost 247 inf + 3 120.681 * * [simplify]: Extracting #4: cost 218 inf + 7980 120.697 * * [simplify]: Extracting #5: cost 50 inf + 53245 120.727 * * [simplify]: Extracting #6: cost 1 inf + 68087 120.753 * * [simplify]: Extracting #7: cost 0 inf + 67743 120.778 * * [simplify]: Extracting #8: cost 0 inf + 67463 120.804 * * [simplify]: Extracting #9: cost 0 inf + 67423 120.829 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 120.829 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 120.830 * * * * [progress]: [ 144 / 287 ] simplifiying candidate # 120.830 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) 120.830 * * [simplify]: iters left: 6 (18 enodes) 120.840 * * [simplify]: iters left: 5 (83 enodes) 120.872 * * [simplify]: iters left: 4 (173 enodes) 120.911 * * [simplify]: iters left: 3 (364 enodes) 121.032 * * [simplify]: Extracting #0: cost 1 inf + 0 121.032 * * [simplify]: Extracting #1: cost 44 inf + 0 121.032 * * [simplify]: Extracting #2: cost 219 inf + 0 121.033 * * [simplify]: Extracting #3: cost 293 inf + 296 121.035 * * [simplify]: Extracting #4: cost 252 inf + 10758 121.044 * * [simplify]: Extracting #5: cost 112 inf + 54675 121.079 * * [simplify]: Extracting #6: cost 22 inf + 89529 121.096 * * [simplify]: Extracting #7: cost 0 inf + 98600 121.114 * * [simplify]: Extracting #8: cost 0 inf + 98558 121.145 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 121.145 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 121.145 * * * * [progress]: [ 145 / 287 ] simplifiying candidate # 121.145 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 121.145 * * [simplify]: iters left: 6 (18 enodes) 121.151 * * [simplify]: iters left: 5 (83 enodes) 121.168 * * [simplify]: iters left: 4 (173 enodes) 121.212 * * [simplify]: iters left: 3 (362 enodes) 121.359 * * [simplify]: Extracting #0: cost 1 inf + 0 121.359 * * [simplify]: Extracting #1: cost 44 inf + 0 121.360 * * [simplify]: Extracting #2: cost 219 inf + 0 121.362 * * [simplify]: Extracting #3: cost 294 inf + 185 121.366 * * [simplify]: Extracting #4: cost 240 inf + 13737 121.393 * * [simplify]: Extracting #5: cost 71 inf + 70216 121.427 * * [simplify]: Extracting #6: cost 1 inf + 97544 121.462 * * [simplify]: Extracting #7: cost 0 inf + 97197 121.487 * * [simplify]: Extracting #8: cost 0 inf + 97157 121.505 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 121.505 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 121.505 * * * * [progress]: [ 146 / 287 ] simplifiying candidate # 121.505 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) 121.505 * * [simplify]: iters left: 6 (18 enodes) 121.516 * * [simplify]: iters left: 5 (83 enodes) 121.531 * * [simplify]: iters left: 4 (173 enodes) 121.581 * * [simplify]: iters left: 3 (362 enodes) 121.699 * * [simplify]: Extracting #0: cost 1 inf + 0 121.699 * * [simplify]: Extracting #1: cost 44 inf + 0 121.700 * * [simplify]: Extracting #2: cost 219 inf + 0 121.701 * * [simplify]: Extracting #3: cost 294 inf + 185 121.707 * * [simplify]: Extracting #4: cost 240 inf + 13737 121.717 * * [simplify]: Extracting #5: cost 71 inf + 70216 121.743 * * [simplify]: Extracting #6: cost 1 inf + 97544 121.777 * * [simplify]: Extracting #7: cost 0 inf + 97197 121.812 * * [simplify]: Extracting #8: cost 0 inf + 97157 121.848 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 121.848 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 121.849 * * * * [progress]: [ 147 / 287 ] simplifiying candidate # 121.849 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) 121.849 * * [simplify]: iters left: 6 (18 enodes) 121.859 * * [simplify]: iters left: 5 (84 enodes) 121.887 * * [simplify]: iters left: 4 (174 enodes) 121.925 * * [simplify]: iters left: 3 (387 enodes) 122.085 * * [simplify]: Extracting #0: cost 1 inf + 0 122.085 * * [simplify]: Extracting #1: cost 53 inf + 0 122.087 * * [simplify]: Extracting #2: cost 267 inf + 0 122.089 * * [simplify]: Extracting #3: cost 355 inf + 73 122.093 * * [simplify]: Extracting #4: cost 322 inf + 8064 122.105 * * [simplify]: Extracting #5: cost 180 inf + 46403 122.133 * * [simplify]: Extracting #6: cost 22 inf + 116093 122.155 * * [simplify]: Extracting #7: cost 0 inf + 127800 122.198 * * [simplify]: Extracting #8: cost 0 inf + 127757 122.221 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))) 122.221 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log PI) (log 2)) (log n))) (log (sqrt k))))) 122.221 * * * * [progress]: [ 148 / 287 ] simplifiying candidate # 122.221 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (- (log (sqrt k)) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 122.221 * * [simplify]: iters left: 6 (17 enodes) 122.226 * * [simplify]: iters left: 5 (78 enodes) 122.245 * * [simplify]: iters left: 4 (166 enodes) 122.308 * * [simplify]: iters left: 3 (384 enodes) 122.489 * * [simplify]: Extracting #0: cost 1 inf + 0 122.490 * * [simplify]: Extracting #1: cost 49 inf + 0 122.491 * * [simplify]: Extracting #2: cost 234 inf + 0 122.493 * * [simplify]: Extracting #3: cost 327 inf + 184 122.504 * * [simplify]: Extracting #4: cost 345 inf + 10199 122.518 * * [simplify]: Extracting #5: cost 207 inf + 52945 122.556 * * [simplify]: Extracting #6: cost 25 inf + 148932 122.604 * * [simplify]: Extracting #7: cost 0 inf + 163993 122.645 * * [simplify]: Extracting #8: cost 0 inf + 163909 122.670 * [simplify]: Simplified to (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))) 122.670 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (+ (log 2) (log PI)) (log n))) (log (sqrt k))))) 122.670 * * * * [progress]: [ 149 / 287 ] simplifiying candidate # 122.671 * [simplify]: Simplifying (- (log (pow n (/ (- 1 k) 2))) (log (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 122.671 * * [simplify]: iters left: 6 (16 enodes) 122.680 * * [simplify]: iters left: 5 (73 enodes) 122.704 * * [simplify]: iters left: 4 (152 enodes) 122.740 * * [simplify]: iters left: 3 (350 enodes) 122.903 * * [simplify]: Extracting #0: cost 1 inf + 0 122.903 * * [simplify]: Extracting #1: cost 35 inf + 0 122.904 * * [simplify]: Extracting #2: cost 146 inf + 0 122.904 * * [simplify]: Extracting #3: cost 263 inf + 73 122.906 * * [simplify]: Extracting #4: cost 312 inf + 1015 122.910 * * [simplify]: Extracting #5: cost 215 inf + 34504 122.928 * * [simplify]: Extracting #6: cost 51 inf + 117772 122.973 * * [simplify]: Extracting #7: cost 0 inf + 150998 123.013 * * [simplify]: Extracting #8: cost 0 inf + 150355 123.053 * [simplify]: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k))) (* (- 1/2 (/ k 2)) (+ (log PI) (log 2)))) 123.053 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt k))) (* (- 1/2 (/ k 2)) (+ (log PI) (log 2)))))) 123.053 * * * * [progress]: [ 150 / 287 ] simplifiying candidate # 123.053 * * * * [progress]: [ 151 / 287 ] simplifiying candidate # 123.053 * * * * [progress]: [ 152 / 287 ] simplifiying candidate # 123.054 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) 123.054 * * [simplify]: iters left: 6 (22 enodes) 123.066 * * [simplify]: iters left: 5 (103 enodes) 123.101 * * [simplify]: iters left: 4 (342 enodes) 123.389 * * [simplify]: Extracting #0: cost 1 inf + 0 123.390 * * [simplify]: Extracting #1: cost 206 inf + 0 123.394 * * [simplify]: Extracting #2: cost 693 inf + 123 123.400 * * [simplify]: Extracting #3: cost 754 inf + 249 123.407 * * [simplify]: Extracting #4: cost 749 inf + 916 123.423 * * [simplify]: Extracting #5: cost 524 inf + 155623 123.503 * * [simplify]: Extracting #6: cost 45 inf + 548511 123.604 * * [simplify]: Extracting #7: cost 0 inf + 569063 123.707 * * [simplify]: Extracting #8: cost 0 inf + 566527 123.845 * [simplify]: Simplified to (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ k (pow n (/ (- 1 k) 2)))))) 123.845 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ k (pow n (/ (- 1 k) 2)))))))) 123.846 * * * * [progress]: [ 153 / 287 ] simplifiying candidate # 123.846 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 123.846 * * [simplify]: iters left: 6 (20 enodes) 123.858 * * [simplify]: iters left: 5 (99 enodes) 123.901 * * [simplify]: iters left: 4 (361 enodes) 124.311 * * [simplify]: Extracting #0: cost 1 inf + 0 124.312 * * [simplify]: Extracting #1: cost 179 inf + 0 124.316 * * [simplify]: Extracting #2: cost 776 inf + 1 124.323 * * [simplify]: Extracting #3: cost 877 inf + 249 124.331 * * [simplify]: Extracting #4: cost 871 inf + 917 124.352 * * [simplify]: Extracting #5: cost 698 inf + 104769 124.419 * * [simplify]: Extracting #6: cost 87 inf + 603580 124.538 * * [simplify]: Extracting #7: cost 0 inf + 674137 124.678 * * [simplify]: Extracting #8: cost 0 inf + 673351 124.780 * [simplify]: Simplified to (/ (* (/ (pow n (/ (- 1 k) 2)) (/ k (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 124.780 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow n (/ (- 1 k) 2)) (/ k (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 124.781 * * * * [progress]: [ 154 / 287 ] simplifiying candidate # 124.781 * [simplify]: Simplifying (/ (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) (* (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 124.781 * * [simplify]: iters left: 6 (18 enodes) 124.792 * * [simplify]: iters left: 5 (89 enodes) 124.828 * * [simplify]: iters left: 4 (275 enodes) 125.057 * * [simplify]: Extracting #0: cost 1 inf + 0 125.058 * * [simplify]: Extracting #1: cost 117 inf + 0 125.061 * * [simplify]: Extracting #2: cost 500 inf + 1 125.066 * * [simplify]: Extracting #3: cost 586 inf + 87 125.089 * * [simplify]: Extracting #4: cost 459 inf + 84181 125.150 * * [simplify]: Extracting #5: cost 153 inf + 325686 125.223 * * [simplify]: Extracting #6: cost 5 inf + 467640 125.304 * * [simplify]: Extracting #7: cost 0 inf + 463855 125.403 * * [simplify]: Extracting #8: cost 0 inf + 463695 125.479 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 125.479 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (* (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))))) 125.480 * * * * [progress]: [ 155 / 287 ] simplifiying candidate # 125.480 * * * * [progress]: [ 156 / 287 ] simplifiying candidate # 125.480 * * * * [progress]: [ 157 / 287 ] simplifiying candidate # 125.480 * * * * [progress]: [ 158 / 287 ] simplifiying candidate # 125.480 * * * * [progress]: [ 159 / 287 ] simplifiying candidate # 125.480 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 125.481 * * [simplify]: iters left: 6 (18 enodes) 125.490 * * [simplify]: iters left: 5 (74 enodes) 125.518 * * [simplify]: iters left: 4 (137 enodes) 125.548 * * [simplify]: iters left: 3 (280 enodes) 125.659 * * [simplify]: Extracting #0: cost 1 inf + 0 125.659 * * [simplify]: Extracting #1: cost 23 inf + 0 125.659 * * [simplify]: Extracting #2: cost 57 inf + 0 125.660 * * [simplify]: Extracting #3: cost 101 inf + 0 125.660 * * [simplify]: Extracting #4: cost 164 inf + 8 125.661 * * [simplify]: Extracting #5: cost 215 inf + 2692 125.664 * * [simplify]: Extracting #6: cost 145 inf + 28855 125.684 * * [simplify]: Extracting #7: cost 29 inf + 115851 125.715 * * [simplify]: Extracting #8: cost 0 inf + 146465 125.731 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 125.731 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 125.731 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 125.731 * * [simplify]: iters left: 6 (16 enodes) 125.736 * * [simplify]: iters left: 5 (66 enodes) 125.757 * * [simplify]: iters left: 4 (123 enodes) 125.800 * * [simplify]: iters left: 3 (254 enodes) 125.900 * * [simplify]: Extracting #0: cost 1 inf + 0 125.900 * * [simplify]: Extracting #1: cost 11 inf + 0 125.900 * * [simplify]: Extracting #2: cost 34 inf + 0 125.901 * * [simplify]: Extracting #3: cost 76 inf + 0 125.901 * * [simplify]: Extracting #4: cost 136 inf + 90 125.902 * * [simplify]: Extracting #5: cost 186 inf + 3208 125.908 * * [simplify]: Extracting #6: cost 66 inf + 65508 125.928 * * [simplify]: Extracting #7: cost 5 inf + 107230 125.958 * * [simplify]: Extracting #8: cost 0 inf + 109457 125.987 * * [simplify]: Extracting #9: cost 0 inf + 109377 126.003 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 126.003 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 126.003 * * * * [progress]: [ 160 / 287 ] simplifiying candidate # 126.003 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 126.003 * * [simplify]: iters left: 6 (17 enodes) 126.008 * * [simplify]: iters left: 5 (69 enodes) 126.024 * * [simplify]: iters left: 4 (126 enodes) 126.065 * * [simplify]: iters left: 3 (250 enodes) 126.158 * * [simplify]: Extracting #0: cost 1 inf + 0 126.158 * * [simplify]: Extracting #1: cost 11 inf + 0 126.158 * * [simplify]: Extracting #2: cost 34 inf + 0 126.159 * * [simplify]: Extracting #3: cost 77 inf + 0 126.159 * * [simplify]: Extracting #4: cost 137 inf + 8 126.160 * * [simplify]: Extracting #5: cost 191 inf + 1541 126.162 * * [simplify]: Extracting #6: cost 130 inf + 26743 126.174 * * [simplify]: Extracting #7: cost 17 inf + 101564 126.188 * * [simplify]: Extracting #8: cost 0 inf + 111496 126.204 * * [simplify]: Extracting #9: cost 0 inf + 110288 126.218 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 126.218 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 126.218 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 126.218 * * [simplify]: iters left: 6 (16 enodes) 126.223 * * [simplify]: iters left: 5 (66 enodes) 126.241 * * [simplify]: iters left: 4 (123 enodes) 126.263 * * [simplify]: iters left: 3 (254 enodes) 126.392 * * [simplify]: Extracting #0: cost 1 inf + 0 126.392 * * [simplify]: Extracting #1: cost 11 inf + 0 126.392 * * [simplify]: Extracting #2: cost 34 inf + 0 126.392 * * [simplify]: Extracting #3: cost 76 inf + 0 126.393 * * [simplify]: Extracting #4: cost 136 inf + 90 126.395 * * [simplify]: Extracting #5: cost 186 inf + 3208 126.410 * * [simplify]: Extracting #6: cost 66 inf + 65428 126.437 * * [simplify]: Extracting #7: cost 5 inf + 106710 126.464 * * [simplify]: Extracting #8: cost 0 inf + 108857 126.484 * * [simplify]: Extracting #9: cost 0 inf + 108777 126.498 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 126.498 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 126.499 * * * * [progress]: [ 161 / 287 ] simplifiying candidate # 126.499 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 126.499 * * [simplify]: iters left: 6 (15 enodes) 126.503 * * [simplify]: iters left: 5 (62 enodes) 126.521 * * [simplify]: iters left: 4 (117 enodes) 126.550 * * [simplify]: iters left: 3 (282 enodes) 126.683 * * [simplify]: Extracting #0: cost 1 inf + 0 126.683 * * [simplify]: Extracting #1: cost 74 inf + 0 126.685 * * [simplify]: Extracting #2: cost 235 inf + 0 126.687 * * [simplify]: Extracting #3: cost 277 inf + 2 126.689 * * [simplify]: Extracting #4: cost 256 inf + 3394 126.699 * * [simplify]: Extracting #5: cost 179 inf + 42768 126.727 * * [simplify]: Extracting #6: cost 20 inf + 169397 126.758 * * [simplify]: Extracting #7: cost 0 inf + 188305 126.804 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) 126.804 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (cbrt (sqrt k))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 126.804 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 126.805 * * [simplify]: iters left: 6 (14 enodes) 126.812 * * [simplify]: iters left: 5 (57 enodes) 126.831 * * [simplify]: iters left: 4 (100 enodes) 126.864 * * [simplify]: iters left: 3 (189 enodes) 126.923 * * [simplify]: Extracting #0: cost 1 inf + 0 126.923 * * [simplify]: Extracting #1: cost 38 inf + 0 126.923 * * [simplify]: Extracting #2: cost 129 inf + 0 126.924 * * [simplify]: Extracting #3: cost 165 inf + 2 126.926 * * [simplify]: Extracting #4: cost 153 inf + 918 126.930 * * [simplify]: Extracting #5: cost 98 inf + 17604 126.944 * * [simplify]: Extracting #6: cost 31 inf + 65620 126.963 * * [simplify]: Extracting #7: cost 1 inf + 88832 126.986 * * [simplify]: Extracting #8: cost 0 inf + 89172 127.004 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 127.004 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 127.004 * * * * [progress]: [ 162 / 287 ] simplifiying candidate # 127.004 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 127.005 * * [simplify]: iters left: 6 (15 enodes) 127.009 * * [simplify]: iters left: 5 (61 enodes) 127.020 * * [simplify]: iters left: 4 (104 enodes) 127.045 * * [simplify]: iters left: 3 (197 enodes) 127.136 * * [simplify]: Extracting #0: cost 1 inf + 0 127.136 * * [simplify]: Extracting #1: cost 38 inf + 0 127.136 * * [simplify]: Extracting #2: cost 130 inf + 0 127.137 * * [simplify]: Extracting #3: cost 165 inf + 2 127.138 * * [simplify]: Extracting #4: cost 163 inf + 215 127.140 * * [simplify]: Extracting #5: cost 116 inf + 11964 127.147 * * [simplify]: Extracting #6: cost 31 inf + 70084 127.157 * * [simplify]: Extracting #7: cost 0 inf + 94235 127.168 * * [simplify]: Extracting #8: cost 0 inf + 93575 127.188 * [simplify]: Simplified to (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) 127.188 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 127.188 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 127.188 * * [simplify]: iters left: 6 (14 enodes) 127.196 * * [simplify]: iters left: 5 (57 enodes) 127.215 * * [simplify]: iters left: 4 (100 enodes) 127.248 * * [simplify]: iters left: 3 (189 enodes) 127.291 * * [simplify]: Extracting #0: cost 1 inf + 0 127.291 * * [simplify]: Extracting #1: cost 38 inf + 0 127.292 * * [simplify]: Extracting #2: cost 129 inf + 0 127.292 * * [simplify]: Extracting #3: cost 165 inf + 2 127.293 * * [simplify]: Extracting #4: cost 153 inf + 958 127.295 * * [simplify]: Extracting #5: cost 98 inf + 17684 127.306 * * [simplify]: Extracting #6: cost 31 inf + 65700 127.328 * * [simplify]: Extracting #7: cost 1 inf + 88912 127.341 * * [simplify]: Extracting #8: cost 0 inf + 89252 127.351 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 127.351 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 127.351 * * * * [progress]: [ 163 / 287 ] simplifiying candidate # 127.351 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 127.351 * * [simplify]: iters left: 6 (14 enodes) 127.356 * * [simplify]: iters left: 5 (57 enodes) 127.368 * * [simplify]: iters left: 4 (100 enodes) 127.402 * * [simplify]: iters left: 3 (189 enodes) 127.480 * * [simplify]: Extracting #0: cost 1 inf + 0 127.480 * * [simplify]: Extracting #1: cost 38 inf + 0 127.480 * * [simplify]: Extracting #2: cost 129 inf + 0 127.481 * * [simplify]: Extracting #3: cost 164 inf + 2 127.481 * * [simplify]: Extracting #4: cost 157 inf + 465 127.483 * * [simplify]: Extracting #5: cost 101 inf + 16085 127.493 * * [simplify]: Extracting #6: cost 21 inf + 72263 127.516 * * [simplify]: Extracting #7: cost 0 inf + 90392 127.538 * * [simplify]: Extracting #8: cost 0 inf + 90351 127.561 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 127.562 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 127.562 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 127.562 * * [simplify]: iters left: 6 (14 enodes) 127.570 * * [simplify]: iters left: 5 (57 enodes) 127.593 * * [simplify]: iters left: 4 (100 enodes) 127.627 * * [simplify]: iters left: 3 (189 enodes) 127.704 * * [simplify]: Extracting #0: cost 1 inf + 0 127.704 * * [simplify]: Extracting #1: cost 38 inf + 0 127.704 * * [simplify]: Extracting #2: cost 129 inf + 0 127.705 * * [simplify]: Extracting #3: cost 165 inf + 2 127.706 * * [simplify]: Extracting #4: cost 153 inf + 878 127.708 * * [simplify]: Extracting #5: cost 98 inf + 17124 127.720 * * [simplify]: Extracting #6: cost 31 inf + 63860 127.739 * * [simplify]: Extracting #7: cost 1 inf + 86352 127.749 * * [simplify]: Extracting #8: cost 0 inf + 86652 127.760 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 127.760 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 127.760 * * * * [progress]: [ 164 / 287 ] simplifiying candidate # 127.760 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 127.760 * * [simplify]: iters left: 6 (13 enodes) 127.764 * * [simplify]: iters left: 5 (54 enodes) 127.781 * * [simplify]: iters left: 4 (92 enodes) 127.811 * * [simplify]: iters left: 3 (172 enodes) 127.889 * * [simplify]: iters left: 2 (454 enodes) 128.121 * * [simplify]: Extracting #0: cost 1 inf + 0 128.121 * * [simplify]: Extracting #1: cost 123 inf + 0 128.122 * * [simplify]: Extracting #2: cost 443 inf + 1 128.124 * * [simplify]: Extracting #3: cost 506 inf + 4 128.127 * * [simplify]: Extracting #4: cost 515 inf + 10 128.130 * * [simplify]: Extracting #5: cost 464 inf + 12421 128.139 * * [simplify]: Extracting #6: cost 368 inf + 61526 128.204 * * [simplify]: Extracting #7: cost 78 inf + 310343 128.265 * * [simplify]: Extracting #8: cost 3 inf + 376020 128.363 * * [simplify]: Extracting #9: cost 0 inf + 376173 128.457 * * [simplify]: Extracting #10: cost 0 inf + 376042 128.533 * [simplify]: Simplified to (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 128.533 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 128.534 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 128.534 * * [simplify]: iters left: 6 (13 enodes) 128.542 * * [simplify]: iters left: 5 (54 enodes) 128.558 * * [simplify]: iters left: 4 (97 enodes) 128.576 * * [simplify]: iters left: 3 (190 enodes) 128.633 * * [simplify]: Extracting #0: cost 1 inf + 0 128.633 * * [simplify]: Extracting #1: cost 38 inf + 0 128.634 * * [simplify]: Extracting #2: cost 129 inf + 0 128.635 * * [simplify]: Extracting #3: cost 160 inf + 44 128.636 * * [simplify]: Extracting #4: cost 149 inf + 1376 128.639 * * [simplify]: Extracting #5: cost 105 inf + 15281 128.652 * * [simplify]: Extracting #6: cost 27 inf + 64747 128.669 * * [simplify]: Extracting #7: cost 0 inf + 84880 128.688 * * [simplify]: Extracting #8: cost 0 inf + 84226 128.705 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 128.706 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 128.706 * * * * [progress]: [ 165 / 287 ] simplifiying candidate # 128.706 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 128.706 * * [simplify]: iters left: 6 (14 enodes) 128.714 * * [simplify]: iters left: 5 (57 enodes) 128.734 * * [simplify]: iters left: 4 (100 enodes) 128.769 * * [simplify]: iters left: 3 (189 enodes) 128.853 * * [simplify]: Extracting #0: cost 1 inf + 0 128.853 * * [simplify]: Extracting #1: cost 38 inf + 0 128.854 * * [simplify]: Extracting #2: cost 129 inf + 0 128.854 * * [simplify]: Extracting #3: cost 164 inf + 2 128.856 * * [simplify]: Extracting #4: cost 157 inf + 465 128.860 * * [simplify]: Extracting #5: cost 101 inf + 16085 128.876 * * [simplify]: Extracting #6: cost 21 inf + 72263 128.902 * * [simplify]: Extracting #7: cost 0 inf + 90392 128.924 * * [simplify]: Extracting #8: cost 0 inf + 90351 128.947 * [simplify]: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 128.947 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 128.947 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 128.948 * * [simplify]: iters left: 6 (14 enodes) 128.955 * * [simplify]: iters left: 5 (57 enodes) 128.975 * * [simplify]: iters left: 4 (100 enodes) 129.008 * * [simplify]: iters left: 3 (189 enodes) 129.076 * * [simplify]: Extracting #0: cost 1 inf + 0 129.076 * * [simplify]: Extracting #1: cost 38 inf + 0 129.076 * * [simplify]: Extracting #2: cost 129 inf + 0 129.077 * * [simplify]: Extracting #3: cost 165 inf + 2 129.077 * * [simplify]: Extracting #4: cost 153 inf + 878 129.080 * * [simplify]: Extracting #5: cost 98 inf + 17124 129.087 * * [simplify]: Extracting #6: cost 31 inf + 63860 129.106 * * [simplify]: Extracting #7: cost 1 inf + 86352 129.126 * * [simplify]: Extracting #8: cost 0 inf + 86652 129.145 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 129.146 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 129.146 * * * * [progress]: [ 166 / 287 ] simplifiying candidate # 129.146 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 129.146 * * [simplify]: iters left: 6 (12 enodes) 129.153 * * [simplify]: iters left: 5 (51 enodes) 129.170 * * [simplify]: iters left: 4 (86 enodes) 129.185 * * [simplify]: iters left: 3 (176 enodes) 129.238 * * [simplify]: Extracting #0: cost 1 inf + 0 129.238 * * [simplify]: Extracting #1: cost 41 inf + 0 129.239 * * [simplify]: Extracting #2: cost 122 inf + 1 129.240 * * [simplify]: Extracting #3: cost 154 inf + 3 129.241 * * [simplify]: Extracting #4: cost 160 inf + 8 129.242 * * [simplify]: Extracting #5: cost 151 inf + 1250 129.246 * * [simplify]: Extracting #6: cost 102 inf + 14758 129.263 * * [simplify]: Extracting #7: cost 21 inf + 68341 129.281 * * [simplify]: Extracting #8: cost 0 inf + 84580 129.300 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) 129.300 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 129.301 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 129.301 * * [simplify]: iters left: 6 (13 enodes) 129.308 * * [simplify]: iters left: 5 (54 enodes) 129.327 * * [simplify]: iters left: 4 (97 enodes) 129.348 * * [simplify]: iters left: 3 (190 enodes) 129.413 * * [simplify]: Extracting #0: cost 1 inf + 0 129.414 * * [simplify]: Extracting #1: cost 38 inf + 0 129.414 * * [simplify]: Extracting #2: cost 129 inf + 0 129.414 * * [simplify]: Extracting #3: cost 160 inf + 44 129.415 * * [simplify]: Extracting #4: cost 149 inf + 1376 129.417 * * [simplify]: Extracting #5: cost 105 inf + 15281 129.423 * * [simplify]: Extracting #6: cost 27 inf + 64747 129.432 * * [simplify]: Extracting #7: cost 0 inf + 84880 129.442 * * [simplify]: Extracting #8: cost 0 inf + 84226 129.459 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 129.459 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 129.460 * * * * [progress]: [ 167 / 287 ] simplifiying candidate # 129.460 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) 129.460 * * [simplify]: iters left: 6 (10 enodes) 129.466 * * [simplify]: iters left: 5 (39 enodes) 129.480 * * [simplify]: iters left: 4 (62 enodes) 129.498 * * [simplify]: iters left: 3 (104 enodes) 129.523 * * [simplify]: iters left: 2 (209 enodes) 129.580 * * [simplify]: iters left: 1 (436 enodes) 129.844 * * [simplify]: Extracting #0: cost 1 inf + 0 129.844 * * [simplify]: Extracting #1: cost 48 inf + 0 129.845 * * [simplify]: Extracting #2: cost 165 inf + 2 129.847 * * [simplify]: Extracting #3: cost 218 inf + 7 129.850 * * [simplify]: Extracting #4: cost 201 inf + 1781 129.858 * * [simplify]: Extracting #5: cost 113 inf + 31359 129.891 * * [simplify]: Extracting #6: cost 13 inf + 109223 129.935 * * [simplify]: Extracting #7: cost 0 inf + 117711 129.962 * * [simplify]: Extracting #8: cost 0 inf + 116701 129.985 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) 129.985 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt n) (cbrt n)) (- 1/2 (/ k 2))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 129.986 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 129.986 * * [simplify]: iters left: 6 (15 enodes) 129.991 * * [simplify]: iters left: 5 (65 enodes) 130.009 * * [simplify]: iters left: 4 (135 enodes) 130.043 * * [simplify]: iters left: 3 (365 enodes) 130.329 * * [simplify]: Extracting #0: cost 1 inf + 0 130.329 * * [simplify]: Extracting #1: cost 104 inf + 0 130.331 * * [simplify]: Extracting #2: cost 405 inf + 0 130.333 * * [simplify]: Extracting #3: cost 447 inf + 86 130.336 * * [simplify]: Extracting #4: cost 393 inf + 21956 130.357 * * [simplify]: Extracting #5: cost 150 inf + 201345 130.432 * * [simplify]: Extracting #6: cost 7 inf + 327016 130.478 * * [simplify]: Extracting #7: cost 0 inf + 331723 130.518 * * [simplify]: Extracting #8: cost 0 inf + 331719 130.570 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 130.570 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 1) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 130.570 * * * * [progress]: [ 168 / 287 ] simplifiying candidate # 130.571 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 130.571 * * [simplify]: iters left: 6 (11 enodes) 130.577 * * [simplify]: iters left: 5 (44 enodes) 130.593 * * [simplify]: iters left: 4 (67 enodes) 130.615 * * [simplify]: iters left: 3 (109 enodes) 130.651 * * [simplify]: iters left: 2 (216 enodes) 130.703 * * [simplify]: iters left: 1 (452 enodes) 130.898 * * [simplify]: Extracting #0: cost 1 inf + 0 130.899 * * [simplify]: Extracting #1: cost 48 inf + 0 130.899 * * [simplify]: Extracting #2: cost 137 inf + 0 130.900 * * [simplify]: Extracting #3: cost 205 inf + 45 130.901 * * [simplify]: Extracting #4: cost 216 inf + 347 130.903 * * [simplify]: Extracting #5: cost 155 inf + 9551 130.910 * * [simplify]: Extracting #6: cost 83 inf + 49258 130.934 * * [simplify]: Extracting #7: cost 16 inf + 112940 130.974 * * [simplify]: Extracting #8: cost 0 inf + 126770 131.010 * * [simplify]: Extracting #9: cost 0 inf + 126354 131.046 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) 131.046 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 131.047 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 131.047 * * [simplify]: iters left: 6 (14 enodes) 131.055 * * [simplify]: iters left: 5 (62 enodes) 131.077 * * [simplify]: iters left: 4 (128 enodes) 131.132 * * [simplify]: iters left: 3 (338 enodes) 131.397 * * [simplify]: Extracting #0: cost 1 inf + 0 131.398 * * [simplify]: Extracting #1: cost 99 inf + 0 131.399 * * [simplify]: Extracting #2: cost 335 inf + 1 131.402 * * [simplify]: Extracting #3: cost 377 inf + 4 131.405 * * [simplify]: Extracting #4: cost 376 inf + 172 131.416 * * [simplify]: Extracting #5: cost 253 inf + 64726 131.463 * * [simplify]: Extracting #6: cost 42 inf + 222894 131.510 * * [simplify]: Extracting #7: cost 0 inf + 258283 131.544 * * [simplify]: Extracting #8: cost 0 inf + 258152 131.599 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))) 131.599 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (cbrt n) (/ (- 1 k) 2))))) 131.599 * * * * [progress]: [ 169 / 287 ] simplifiying candidate # 131.599 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 131.600 * * [simplify]: iters left: 6 (17 enodes) 131.610 * * [simplify]: iters left: 5 (72 enodes) 131.643 * * [simplify]: iters left: 4 (162 enodes) 131.715 * * [simplify]: iters left: 3 (431 enodes) 131.960 * * [simplify]: Extracting #0: cost 1 inf + 0 131.961 * * [simplify]: Extracting #1: cost 97 inf + 0 131.963 * * [simplify]: Extracting #2: cost 390 inf + 0 131.967 * * [simplify]: Extracting #3: cost 412 inf + 2831 131.974 * * [simplify]: Extracting #4: cost 345 inf + 26223 131.995 * * [simplify]: Extracting #5: cost 170 inf + 132511 132.049 * * [simplify]: Extracting #6: cost 10 inf + 257938 132.103 * * [simplify]: Extracting #7: cost 0 inf + 266159 132.156 * [simplify]: Simplified to (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) 132.156 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 132.156 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 132.156 * * [simplify]: iters left: 6 (14 enodes) 132.161 * * [simplify]: iters left: 5 (60 enodes) 132.177 * * [simplify]: iters left: 4 (127 enodes) 132.215 * * [simplify]: iters left: 3 (375 enodes) 132.546 * * [simplify]: Extracting #0: cost 1 inf + 0 132.546 * * [simplify]: Extracting #1: cost 152 inf + 0 132.549 * * [simplify]: Extracting #2: cost 492 inf + 0 132.554 * * [simplify]: Extracting #3: cost 544 inf + 3 132.562 * * [simplify]: Extracting #4: cost 477 inf + 27812 132.587 * * [simplify]: Extracting #5: cost 203 inf + 250690 132.636 * * [simplify]: Extracting #6: cost 6 inf + 432876 132.690 * * [simplify]: Extracting #7: cost 0 inf + 433561 132.760 * * [simplify]: Extracting #8: cost 0 inf + 433263 132.838 * [simplify]: Simplified to (/ (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))) 132.838 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI)))) (/ (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))))) 132.838 * * * * [progress]: [ 170 / 287 ] simplifiying candidate # 132.839 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 132.839 * * [simplify]: iters left: 6 (17 enodes) 132.844 * * [simplify]: iters left: 5 (71 enodes) 132.859 * * [simplify]: iters left: 4 (150 enodes) 132.909 * * [simplify]: iters left: 3 (396 enodes) 133.189 * * [simplify]: Extracting #0: cost 1 inf + 0 133.189 * * [simplify]: Extracting #1: cost 104 inf + 0 133.191 * * [simplify]: Extracting #2: cost 412 inf + 0 133.195 * * [simplify]: Extracting #3: cost 443 inf + 969 133.202 * * [simplify]: Extracting #4: cost 395 inf + 22610 133.232 * * [simplify]: Extracting #5: cost 187 inf + 161694 133.283 * * [simplify]: Extracting #6: cost 13 inf + 310239 133.339 * * [simplify]: Extracting #7: cost 0 inf + 324542 133.399 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) 133.399 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 133.399 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 133.399 * * [simplify]: iters left: 6 (12 enodes) 133.403 * * [simplify]: iters left: 5 (49 enodes) 133.412 * * [simplify]: iters left: 4 (84 enodes) 133.434 * * [simplify]: iters left: 3 (174 enodes) 133.507 * * [simplify]: Extracting #0: cost 1 inf + 0 133.508 * * [simplify]: Extracting #1: cost 39 inf + 0 133.508 * * [simplify]: Extracting #2: cost 117 inf + 0 133.508 * * [simplify]: Extracting #3: cost 162 inf + 2 133.509 * * [simplify]: Extracting #4: cost 150 inf + 1472 133.514 * * [simplify]: Extracting #5: cost 93 inf + 16209 133.520 * * [simplify]: Extracting #6: cost 15 inf + 66768 133.529 * * [simplify]: Extracting #7: cost 0 inf + 79721 133.546 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 133.546 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (sqrt PI)) (/ (sqrt k) (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 133.546 * * * * [progress]: [ 171 / 287 ] simplifiying candidate # 133.546 * [simplify]: Simplifying (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 133.547 * * [simplify]: iters left: 6 (17 enodes) 133.556 * * [simplify]: iters left: 5 (72 enodes) 133.572 * * [simplify]: iters left: 4 (152 enodes) 133.628 * * [simplify]: iters left: 3 (396 enodes) 133.856 * * [simplify]: Extracting #0: cost 1 inf + 0 133.856 * * [simplify]: Extracting #1: cost 102 inf + 0 133.857 * * [simplify]: Extracting #2: cost 390 inf + 0 133.859 * * [simplify]: Extracting #3: cost 422 inf + 676 133.863 * * [simplify]: Extracting #4: cost 367 inf + 22209 133.875 * * [simplify]: Extracting #5: cost 199 inf + 128400 133.913 * * [simplify]: Extracting #6: cost 8 inf + 289384 133.950 * * [simplify]: Extracting #7: cost 0 inf + 296303 134.018 * [simplify]: Simplified to (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 134.019 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 134.019 * [simplify]: Simplifying (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 134.019 * * [simplify]: iters left: 6 (11 enodes) 134.026 * * [simplify]: iters left: 5 (46 enodes) 134.042 * * [simplify]: iters left: 4 (81 enodes) 134.071 * * [simplify]: iters left: 3 (169 enodes) 134.114 * * [simplify]: iters left: 2 (495 enodes) 134.529 * * [simplify]: Extracting #0: cost 1 inf + 0 134.529 * * [simplify]: Extracting #1: cost 155 inf + 0 134.532 * * [simplify]: Extracting #2: cost 512 inf + 0 134.544 * * [simplify]: Extracting #3: cost 636 inf + 3 134.550 * * [simplify]: Extracting #4: cost 618 inf + 3329 134.567 * * [simplify]: Extracting #5: cost 458 inf + 86373 134.640 * * [simplify]: Extracting #6: cost 55 inf + 462389 134.728 * * [simplify]: Extracting #7: cost 0 inf + 514442 134.802 * * [simplify]: Extracting #8: cost 0 inf + 513590 134.873 * [simplify]: Simplified to (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 134.873 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (cbrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 134.873 * * * * [progress]: [ 172 / 287 ] simplifiying candidate # 134.874 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 134.874 * * [simplify]: iters left: 6 (17 enodes) 134.879 * * [simplify]: iters left: 5 (71 enodes) 134.892 * * [simplify]: iters left: 4 (130 enodes) 134.925 * * [simplify]: iters left: 3 (273 enodes) 135.037 * * [simplify]: Extracting #0: cost 1 inf + 0 135.037 * * [simplify]: Extracting #1: cost 23 inf + 0 135.037 * * [simplify]: Extracting #2: cost 57 inf + 0 135.037 * * [simplify]: Extracting #3: cost 102 inf + 0 135.038 * * [simplify]: Extracting #4: cost 161 inf + 50 135.040 * * [simplify]: Extracting #5: cost 217 inf + 1596 135.046 * * [simplify]: Extracting #6: cost 152 inf + 27699 135.057 * * [simplify]: Extracting #7: cost 29 inf + 119119 135.080 * * [simplify]: Extracting #8: cost 0 inf + 143908 135.113 * * [simplify]: Extracting #9: cost 0 inf + 143029 135.144 * [simplify]: Simplified to (/ (pow (sqrt n) (- 1/2 (/ k 2))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) 135.144 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (- 1/2 (/ k 2))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 135.144 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 135.145 * * [simplify]: iters left: 6 (16 enodes) 135.153 * * [simplify]: iters left: 5 (66 enodes) 135.177 * * [simplify]: iters left: 4 (123 enodes) 135.222 * * [simplify]: iters left: 3 (254 enodes) 135.363 * * [simplify]: Extracting #0: cost 1 inf + 0 135.363 * * [simplify]: Extracting #1: cost 11 inf + 0 135.363 * * [simplify]: Extracting #2: cost 34 inf + 0 135.363 * * [simplify]: Extracting #3: cost 76 inf + 0 135.363 * * [simplify]: Extracting #4: cost 136 inf + 50 135.364 * * [simplify]: Extracting #5: cost 186 inf + 3048 135.370 * * [simplify]: Extracting #6: cost 66 inf + 64828 135.398 * * [simplify]: Extracting #7: cost 5 inf + 106030 135.426 * * [simplify]: Extracting #8: cost 0 inf + 108177 135.453 * * [simplify]: Extracting #9: cost 0 inf + 108097 135.472 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 135.472 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 135.472 * * * * [progress]: [ 173 / 287 ] simplifiying candidate # 135.472 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 135.472 * * [simplify]: iters left: 6 (16 enodes) 135.477 * * [simplify]: iters left: 5 (66 enodes) 135.491 * * [simplify]: iters left: 4 (123 enodes) 135.527 * * [simplify]: iters left: 3 (254 enodes) 135.630 * * [simplify]: Extracting #0: cost 1 inf + 0 135.631 * * [simplify]: Extracting #1: cost 11 inf + 0 135.631 * * [simplify]: Extracting #2: cost 34 inf + 0 135.631 * * [simplify]: Extracting #3: cost 76 inf + 0 135.632 * * [simplify]: Extracting #4: cost 136 inf + 50 135.634 * * [simplify]: Extracting #5: cost 186 inf + 3048 135.647 * * [simplify]: Extracting #6: cost 66 inf + 64748 135.673 * * [simplify]: Extracting #7: cost 5 inf + 105510 135.691 * * [simplify]: Extracting #8: cost 0 inf + 107577 135.708 * * [simplify]: Extracting #9: cost 0 inf + 107497 135.731 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 135.731 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 135.732 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 135.732 * * [simplify]: iters left: 6 (16 enodes) 135.736 * * [simplify]: iters left: 5 (66 enodes) 135.748 * * [simplify]: iters left: 4 (123 enodes) 135.775 * * [simplify]: iters left: 3 (254 enodes) 135.867 * * [simplify]: Extracting #0: cost 1 inf + 0 135.867 * * [simplify]: Extracting #1: cost 11 inf + 0 135.867 * * [simplify]: Extracting #2: cost 34 inf + 0 135.868 * * [simplify]: Extracting #3: cost 76 inf + 0 135.868 * * [simplify]: Extracting #4: cost 136 inf + 50 135.869 * * [simplify]: Extracting #5: cost 186 inf + 3048 135.875 * * [simplify]: Extracting #6: cost 66 inf + 64748 135.888 * * [simplify]: Extracting #7: cost 5 inf + 105510 135.910 * * [simplify]: Extracting #8: cost 0 inf + 107577 135.941 * * [simplify]: Extracting #9: cost 0 inf + 107497 135.969 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 135.969 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 135.969 * * * * [progress]: [ 174 / 287 ] simplifiying candidate # 135.970 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 135.970 * * [simplify]: iters left: 6 (14 enodes) 135.978 * * [simplify]: iters left: 5 (59 enodes) 136.003 * * [simplify]: iters left: 4 (114 enodes) 136.026 * * [simplify]: iters left: 3 (275 enodes) 136.140 * * [simplify]: Extracting #0: cost 1 inf + 0 136.141 * * [simplify]: Extracting #1: cost 74 inf + 0 136.141 * * [simplify]: Extracting #2: cost 236 inf + 0 136.142 * * [simplify]: Extracting #3: cost 279 inf + 2 136.144 * * [simplify]: Extracting #4: cost 237 inf + 11912 136.163 * * [simplify]: Extracting #5: cost 82 inf + 109047 136.184 * * [simplify]: Extracting #6: cost 1 inf + 175024 136.216 * * [simplify]: Extracting #7: cost 0 inf + 176056 136.236 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 136.237 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 136.237 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 136.237 * * [simplify]: iters left: 6 (14 enodes) 136.241 * * [simplify]: iters left: 5 (57 enodes) 136.260 * * [simplify]: iters left: 4 (100 enodes) 136.278 * * [simplify]: iters left: 3 (189 enodes) 136.348 * * [simplify]: Extracting #0: cost 1 inf + 0 136.349 * * [simplify]: Extracting #1: cost 38 inf + 0 136.349 * * [simplify]: Extracting #2: cost 129 inf + 0 136.349 * * [simplify]: Extracting #3: cost 165 inf + 2 136.350 * * [simplify]: Extracting #4: cost 153 inf + 838 136.352 * * [simplify]: Extracting #5: cost 98 inf + 16924 136.362 * * [simplify]: Extracting #6: cost 31 inf + 62780 136.374 * * [simplify]: Extracting #7: cost 1 inf + 84832 136.393 * * [simplify]: Extracting #8: cost 0 inf + 85132 136.413 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 136.413 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 136.414 * * * * [progress]: [ 175 / 287 ] simplifiying candidate # 136.414 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 136.414 * * [simplify]: iters left: 6 (14 enodes) 136.422 * * [simplify]: iters left: 5 (58 enodes) 136.441 * * [simplify]: iters left: 4 (101 enodes) 136.459 * * [simplify]: iters left: 3 (190 enodes) 136.515 * * [simplify]: iters left: 2 (495 enodes) 136.796 * * [simplify]: Extracting #0: cost 1 inf + 0 136.797 * * [simplify]: Extracting #1: cost 114 inf + 0 136.798 * * [simplify]: Extracting #2: cost 504 inf + 0 136.800 * * [simplify]: Extracting #3: cost 606 inf + 3 136.803 * * [simplify]: Extracting #4: cost 568 inf + 10942 136.816 * * [simplify]: Extracting #5: cost 360 inf + 145329 136.868 * * [simplify]: Extracting #6: cost 41 inf + 412657 136.933 * * [simplify]: Extracting #7: cost 0 inf + 444792 137.000 * * [simplify]: Extracting #8: cost 0 inf + 441624 137.079 * [simplify]: Simplified to (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) 137.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 137.080 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 137.080 * * [simplify]: iters left: 6 (14 enodes) 137.084 * * [simplify]: iters left: 5 (57 enodes) 137.094 * * [simplify]: iters left: 4 (100 enodes) 137.116 * * [simplify]: iters left: 3 (189 enodes) 137.177 * * [simplify]: Extracting #0: cost 1 inf + 0 137.178 * * [simplify]: Extracting #1: cost 38 inf + 0 137.178 * * [simplify]: Extracting #2: cost 129 inf + 0 137.179 * * [simplify]: Extracting #3: cost 165 inf + 2 137.180 * * [simplify]: Extracting #4: cost 153 inf + 878 137.185 * * [simplify]: Extracting #5: cost 98 inf + 17004 137.199 * * [simplify]: Extracting #6: cost 31 inf + 62860 137.219 * * [simplify]: Extracting #7: cost 1 inf + 84912 137.242 * * [simplify]: Extracting #8: cost 0 inf + 85212 137.262 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 137.262 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (fabs (cbrt k))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 137.262 * * * * [progress]: [ 176 / 287 ] simplifiying candidate # 137.262 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 137.263 * * [simplify]: iters left: 6 (13 enodes) 137.270 * * [simplify]: iters left: 5 (54 enodes) 137.289 * * [simplify]: iters left: 4 (97 enodes) 137.322 * * [simplify]: iters left: 3 (190 enodes) 137.397 * * [simplify]: Extracting #0: cost 1 inf + 0 137.397 * * [simplify]: Extracting #1: cost 38 inf + 0 137.397 * * [simplify]: Extracting #2: cost 129 inf + 0 137.398 * * [simplify]: Extracting #3: cost 163 inf + 2 137.398 * * [simplify]: Extracting #4: cost 151 inf + 1255 137.400 * * [simplify]: Extracting #5: cost 105 inf + 14568 137.405 * * [simplify]: Extracting #6: cost 37 inf + 55588 137.419 * * [simplify]: Extracting #7: cost 0 inf + 83538 137.438 * * [simplify]: Extracting #8: cost 0 inf + 82873 137.447 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 137.448 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 137.448 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 137.448 * * [simplify]: iters left: 6 (14 enodes) 137.452 * * [simplify]: iters left: 5 (57 enodes) 137.462 * * [simplify]: iters left: 4 (100 enodes) 137.492 * * [simplify]: iters left: 3 (189 enodes) 137.577 * * [simplify]: Extracting #0: cost 1 inf + 0 137.577 * * [simplify]: Extracting #1: cost 38 inf + 0 137.577 * * [simplify]: Extracting #2: cost 129 inf + 0 137.578 * * [simplify]: Extracting #3: cost 165 inf + 2 137.578 * * [simplify]: Extracting #4: cost 153 inf + 798 137.580 * * [simplify]: Extracting #5: cost 98 inf + 16444 137.588 * * [simplify]: Extracting #6: cost 31 inf + 61020 137.600 * * [simplify]: Extracting #7: cost 1 inf + 82352 137.610 * * [simplify]: Extracting #8: cost 0 inf + 82612 137.630 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 137.630 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 137.630 * * * * [progress]: [ 177 / 287 ] simplifiying candidate # 137.631 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 137.631 * * [simplify]: iters left: 6 (12 enodes) 137.639 * * [simplify]: iters left: 5 (51 enodes) 137.655 * * [simplify]: iters left: 4 (85 enodes) 137.671 * * [simplify]: iters left: 3 (163 enodes) 137.739 * * [simplify]: iters left: 2 (460 enodes) 137.947 * * [simplify]: Extracting #0: cost 1 inf + 0 137.947 * * [simplify]: Extracting #1: cost 123 inf + 0 137.948 * * [simplify]: Extracting #2: cost 449 inf + 1 137.951 * * [simplify]: Extracting #3: cost 512 inf + 4 137.955 * * [simplify]: Extracting #4: cost 516 inf + 93 137.960 * * [simplify]: Extracting #5: cost 463 inf + 15793 137.977 * * [simplify]: Extracting #6: cost 235 inf + 162852 138.034 * * [simplify]: Extracting #7: cost 11 inf + 338134 138.104 * * [simplify]: Extracting #8: cost 0 inf + 342212 138.155 * * [simplify]: Extracting #9: cost 0 inf + 341635 138.213 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) 138.213 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 138.214 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 138.214 * * [simplify]: iters left: 6 (13 enodes) 138.219 * * [simplify]: iters left: 5 (54 enodes) 138.230 * * [simplify]: iters left: 4 (97 enodes) 138.250 * * [simplify]: iters left: 3 (190 enodes) 138.313 * * [simplify]: Extracting #0: cost 1 inf + 0 138.313 * * [simplify]: Extracting #1: cost 38 inf + 0 138.314 * * [simplify]: Extracting #2: cost 129 inf + 0 138.314 * * [simplify]: Extracting #3: cost 160 inf + 44 138.315 * * [simplify]: Extracting #4: cost 149 inf + 1216 138.316 * * [simplify]: Extracting #5: cost 105 inf + 14441 138.323 * * [simplify]: Extracting #6: cost 27 inf + 61547 138.332 * * [simplify]: Extracting #7: cost 0 inf + 80840 138.349 * * [simplify]: Extracting #8: cost 0 inf + 80186 138.812 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 138.812 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (pow (sqrt n) (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 138.812 * * * * [progress]: [ 178 / 287 ] simplifiying candidate # 138.813 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.813 * * [simplify]: iters left: 6 (13 enodes) 138.817 * * [simplify]: iters left: 5 (54 enodes) 138.827 * * [simplify]: iters left: 4 (97 enodes) 138.844 * * [simplify]: iters left: 3 (190 enodes) 138.913 * * [simplify]: Extracting #0: cost 1 inf + 0 138.913 * * [simplify]: Extracting #1: cost 38 inf + 0 138.914 * * [simplify]: Extracting #2: cost 129 inf + 0 138.914 * * [simplify]: Extracting #3: cost 163 inf + 2 138.915 * * [simplify]: Extracting #4: cost 151 inf + 1255 138.917 * * [simplify]: Extracting #5: cost 105 inf + 14568 138.922 * * [simplify]: Extracting #6: cost 37 inf + 55588 138.936 * * [simplify]: Extracting #7: cost 0 inf + 83538 138.948 * * [simplify]: Extracting #8: cost 0 inf + 82873 138.958 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 138.958 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 138.958 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 138.958 * * [simplify]: iters left: 6 (14 enodes) 138.962 * * [simplify]: iters left: 5 (57 enodes) 138.972 * * [simplify]: iters left: 4 (100 enodes) 138.989 * * [simplify]: iters left: 3 (189 enodes) 139.051 * * [simplify]: Extracting #0: cost 1 inf + 0 139.051 * * [simplify]: Extracting #1: cost 38 inf + 0 139.051 * * [simplify]: Extracting #2: cost 129 inf + 0 139.052 * * [simplify]: Extracting #3: cost 165 inf + 2 139.053 * * [simplify]: Extracting #4: cost 153 inf + 798 139.055 * * [simplify]: Extracting #5: cost 98 inf + 16444 139.065 * * [simplify]: Extracting #6: cost 31 inf + 61020 139.085 * * [simplify]: Extracting #7: cost 1 inf + 82352 139.106 * * [simplify]: Extracting #8: cost 0 inf + 82612 139.121 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 139.121 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 139.122 * * * * [progress]: [ 179 / 287 ] simplifiying candidate # 139.122 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 139.122 * * [simplify]: iters left: 6 (11 enodes) 139.125 * * [simplify]: iters left: 5 (48 enodes) 139.134 * * [simplify]: iters left: 4 (83 enodes) 139.153 * * [simplify]: iters left: 3 (176 enodes) 139.243 * * [simplify]: Extracting #0: cost 1 inf + 0 139.243 * * [simplify]: Extracting #1: cost 41 inf + 0 139.244 * * [simplify]: Extracting #2: cost 123 inf + 1 139.245 * * [simplify]: Extracting #3: cost 156 inf + 3 139.246 * * [simplify]: Extracting #4: cost 157 inf + 91 139.247 * * [simplify]: Extracting #5: cost 149 inf + 1508 139.251 * * [simplify]: Extracting #6: cost 92 inf + 20668 139.258 * * [simplify]: Extracting #7: cost 14 inf + 68583 139.267 * * [simplify]: Extracting #8: cost 0 inf + 75955 139.278 * * [simplify]: Extracting #9: cost 0 inf + 75398 139.295 * [simplify]: Simplified to (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 139.295 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 139.296 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 139.296 * * [simplify]: iters left: 6 (13 enodes) 139.303 * * [simplify]: iters left: 5 (54 enodes) 139.323 * * [simplify]: iters left: 4 (97 enodes) 139.355 * * [simplify]: iters left: 3 (190 enodes) 139.406 * * [simplify]: Extracting #0: cost 1 inf + 0 139.406 * * [simplify]: Extracting #1: cost 38 inf + 0 139.407 * * [simplify]: Extracting #2: cost 129 inf + 0 139.407 * * [simplify]: Extracting #3: cost 160 inf + 44 139.408 * * [simplify]: Extracting #4: cost 149 inf + 1216 139.409 * * [simplify]: Extracting #5: cost 105 inf + 14441 139.416 * * [simplify]: Extracting #6: cost 27 inf + 61547 139.427 * * [simplify]: Extracting #7: cost 0 inf + 80840 139.448 * * [simplify]: Extracting #8: cost 0 inf + 80186 139.465 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 139.466 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 139.466 * * * * [progress]: [ 180 / 287 ] simplifiying candidate # 139.466 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) 139.466 * * [simplify]: iters left: 6 (9 enodes) 139.471 * * [simplify]: iters left: 5 (36 enodes) 139.483 * * [simplify]: iters left: 4 (59 enodes) 139.504 * * [simplify]: iters left: 3 (101 enodes) 139.544 * * [simplify]: iters left: 2 (209 enodes) 139.632 * * [simplify]: iters left: 1 (448 enodes) 139.839 * * [simplify]: Extracting #0: cost 1 inf + 0 139.840 * * [simplify]: Extracting #1: cost 49 inf + 0 139.841 * * [simplify]: Extracting #2: cost 167 inf + 2 139.843 * * [simplify]: Extracting #3: cost 223 inf + 91 139.845 * * [simplify]: Extracting #4: cost 196 inf + 2086 139.856 * * [simplify]: Extracting #5: cost 110 inf + 21944 139.881 * * [simplify]: Extracting #6: cost 17 inf + 89257 139.902 * * [simplify]: Extracting #7: cost 0 inf + 100875 139.923 * * [simplify]: Extracting #8: cost 0 inf + 100274 139.960 * [simplify]: Simplified to (pow (sqrt n) (- 1/2 (/ k 2))) 139.960 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt n) (- 1/2 (/ k 2))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 139.961 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 139.961 * * [simplify]: iters left: 6 (15 enodes) 139.969 * * [simplify]: iters left: 5 (65 enodes) 139.994 * * [simplify]: iters left: 4 (135 enodes) 140.037 * * [simplify]: iters left: 3 (365 enodes) 140.341 * * [simplify]: Extracting #0: cost 1 inf + 0 140.341 * * [simplify]: Extracting #1: cost 104 inf + 0 140.343 * * [simplify]: Extracting #2: cost 405 inf + 0 140.345 * * [simplify]: Extracting #3: cost 447 inf + 86 140.349 * * [simplify]: Extracting #4: cost 393 inf + 21156 140.385 * * [simplify]: Extracting #5: cost 150 inf + 194985 140.427 * * [simplify]: Extracting #6: cost 7 inf + 316456 140.471 * * [simplify]: Extracting #7: cost 0 inf + 320883 140.522 * * [simplify]: Extracting #8: cost 0 inf + 320879 140.564 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 140.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) 1) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 140.565 * * * * [progress]: [ 181 / 287 ] simplifiying candidate # 140.565 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) 140.565 * * [simplify]: iters left: 6 (10 enodes) 140.571 * * [simplify]: iters left: 5 (41 enodes) 140.585 * * [simplify]: iters left: 4 (64 enodes) 140.606 * * [simplify]: iters left: 3 (106 enodes) 140.633 * * [simplify]: iters left: 2 (210 enodes) 140.702 * * [simplify]: iters left: 1 (434 enodes) 140.965 * * [simplify]: Extracting #0: cost 1 inf + 0 140.965 * * [simplify]: Extracting #1: cost 47 inf + 0 140.966 * * [simplify]: Extracting #2: cost 141 inf + 0 140.968 * * [simplify]: Extracting #3: cost 208 inf + 4 140.970 * * [simplify]: Extracting #4: cost 205 inf + 1173 140.976 * * [simplify]: Extracting #5: cost 143 inf + 17221 140.988 * * [simplify]: Extracting #6: cost 20 inf + 100882 141.014 * * [simplify]: Extracting #7: cost 0 inf + 118069 141.046 * * [simplify]: Extracting #8: cost 0 inf + 116625 141.080 * * [simplify]: Extracting #9: cost 0 inf + 116160 141.100 * [simplify]: Simplified to (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) 141.100 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (* 1/2 (- 1 k))) (sqrt k)) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 141.100 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 141.100 * * [simplify]: iters left: 6 (14 enodes) 141.106 * * [simplify]: iters left: 5 (62 enodes) 141.118 * * [simplify]: iters left: 4 (128 enodes) 141.154 * * [simplify]: iters left: 3 (338 enodes) 141.357 * * [simplify]: Extracting #0: cost 1 inf + 0 141.358 * * [simplify]: Extracting #1: cost 99 inf + 0 141.360 * * [simplify]: Extracting #2: cost 335 inf + 1 141.363 * * [simplify]: Extracting #3: cost 377 inf + 4 141.366 * * [simplify]: Extracting #4: cost 376 inf + 92 141.376 * * [simplify]: Extracting #5: cost 253 inf + 62646 141.404 * * [simplify]: Extracting #6: cost 42 inf + 215734 141.437 * * [simplify]: Extracting #7: cost 0 inf + 250243 141.476 * * [simplify]: Extracting #8: cost 0 inf + 250112 141.510 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))) 141.510 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow (sqrt n) (/ (- 1 k) 2))))) 141.510 * * * * [progress]: [ 182 / 287 ] simplifiying candidate # 141.510 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 141.510 * * [simplify]: iters left: 6 (16 enodes) 141.515 * * [simplify]: iters left: 5 (68 enodes) 141.531 * * [simplify]: iters left: 4 (150 enodes) 141.595 * * [simplify]: iters left: 3 (413 enodes) 141.955 * * [simplify]: Extracting #0: cost 1 inf + 0 141.956 * * [simplify]: Extracting #1: cost 102 inf + 0 141.957 * * [simplify]: Extracting #2: cost 403 inf + 0 141.959 * * [simplify]: Extracting #3: cost 428 inf + 2155 141.965 * * [simplify]: Extracting #4: cost 299 inf + 62925 142.008 * * [simplify]: Extracting #5: cost 35 inf + 234256 142.059 * * [simplify]: Extracting #6: cost 0 inf + 258513 142.088 * * [simplify]: Extracting #7: cost 0 inf + 258470 142.131 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) 142.132 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 142.132 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 142.132 * * [simplify]: iters left: 6 (14 enodes) 142.136 * * [simplify]: iters left: 5 (60 enodes) 142.148 * * [simplify]: iters left: 4 (127 enodes) 142.175 * * [simplify]: iters left: 3 (375 enodes) 142.479 * * [simplify]: Extracting #0: cost 1 inf + 0 142.479 * * [simplify]: Extracting #1: cost 152 inf + 0 142.481 * * [simplify]: Extracting #2: cost 492 inf + 0 142.483 * * [simplify]: Extracting #3: cost 544 inf + 3 142.488 * * [simplify]: Extracting #4: cost 477 inf + 26492 142.508 * * [simplify]: Extracting #5: cost 203 inf + 241050 142.554 * * [simplify]: Extracting #6: cost 6 inf + 417476 142.615 * * [simplify]: Extracting #7: cost 0 inf + 418001 142.665 * * [simplify]: Extracting #8: cost 0 inf + 417703 142.738 * [simplify]: Simplified to (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))) 142.738 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) (pow 2 (/ k 2))))) 142.738 * * * * [progress]: [ 183 / 287 ] simplifiying candidate # 142.739 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 142.739 * * [simplify]: iters left: 6 (16 enodes) 142.745 * * [simplify]: iters left: 5 (69 enodes) 142.759 * * [simplify]: iters left: 4 (146 enodes) 142.793 * * [simplify]: iters left: 3 (395 enodes) 143.084 * * [simplify]: Extracting #0: cost 1 inf + 0 143.084 * * [simplify]: Extracting #1: cost 97 inf + 0 143.086 * * [simplify]: Extracting #2: cost 386 inf + 0 143.089 * * [simplify]: Extracting #3: cost 419 inf + 798 143.100 * * [simplify]: Extracting #4: cost 329 inf + 48178 143.147 * * [simplify]: Extracting #5: cost 67 inf + 238447 143.182 * * [simplify]: Extracting #6: cost 1 inf + 282784 143.242 * * [simplify]: Extracting #7: cost 0 inf + 277974 143.283 * * [simplify]: Extracting #8: cost 0 inf + 277581 143.315 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 143.315 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 143.315 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 143.315 * * [simplify]: iters left: 6 (12 enodes) 143.319 * * [simplify]: iters left: 5 (49 enodes) 143.331 * * [simplify]: iters left: 4 (84 enodes) 143.346 * * [simplify]: iters left: 3 (174 enodes) 143.415 * * [simplify]: Extracting #0: cost 1 inf + 0 143.415 * * [simplify]: Extracting #1: cost 39 inf + 0 143.415 * * [simplify]: Extracting #2: cost 117 inf + 0 143.416 * * [simplify]: Extracting #3: cost 162 inf + 2 143.417 * * [simplify]: Extracting #4: cost 150 inf + 1392 143.418 * * [simplify]: Extracting #5: cost 93 inf + 15449 143.424 * * [simplify]: Extracting #6: cost 15 inf + 63608 143.434 * * [simplify]: Extracting #7: cost 0 inf + 76041 143.449 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))) 143.449 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow PI (/ k 2))))) 143.449 * * * * [progress]: [ 184 / 287 ] simplifiying candidate # 143.450 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 143.450 * * [simplify]: iters left: 6 (16 enodes) 143.458 * * [simplify]: iters left: 5 (68 enodes) 143.482 * * [simplify]: iters left: 4 (143 enodes) 143.548 * * [simplify]: iters left: 3 (397 enodes) 143.856 * * [simplify]: Extracting #0: cost 1 inf + 0 143.856 * * [simplify]: Extracting #1: cost 106 inf + 0 143.859 * * [simplify]: Extracting #2: cost 411 inf + 0 143.862 * * [simplify]: Extracting #3: cost 440 inf + 1888 143.881 * * [simplify]: Extracting #4: cost 324 inf + 70295 143.919 * * [simplify]: Extracting #5: cost 77 inf + 246984 143.961 * * [simplify]: Extracting #6: cost 1 inf + 302325 144.007 * * [simplify]: Extracting #7: cost 0 inf + 302316 144.053 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 144.053 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 144.053 * [simplify]: Simplifying (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 144.053 * * [simplify]: iters left: 6 (11 enodes) 144.060 * * [simplify]: iters left: 5 (46 enodes) 144.075 * * [simplify]: iters left: 4 (81 enodes) 144.100 * * [simplify]: iters left: 3 (169 enodes) 144.146 * * [simplify]: iters left: 2 (495 enodes) 144.570 * * [simplify]: Extracting #0: cost 1 inf + 0 144.571 * * [simplify]: Extracting #1: cost 155 inf + 0 144.572 * * [simplify]: Extracting #2: cost 512 inf + 0 144.575 * * [simplify]: Extracting #3: cost 636 inf + 3 144.579 * * [simplify]: Extracting #4: cost 618 inf + 3089 144.588 * * [simplify]: Extracting #5: cost 458 inf + 82333 144.642 * * [simplify]: Extracting #6: cost 55 inf + 443389 144.724 * * [simplify]: Extracting #7: cost 0 inf + 493442 144.812 * * [simplify]: Extracting #8: cost 0 inf + 492590 144.877 * [simplify]: Simplified to (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))) 144.877 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow (sqrt n) (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 144.877 * * * * [progress]: [ 185 / 287 ] simplifiying candidate # 144.877 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 144.878 * * [simplify]: iters left: 6 (15 enodes) 144.882 * * [simplify]: iters left: 5 (61 enodes) 144.895 * * [simplify]: iters left: 4 (111 enodes) 144.917 * * [simplify]: iters left: 3 (228 enodes) 145.006 * * [simplify]: Extracting #0: cost 1 inf + 0 145.007 * * [simplify]: Extracting #1: cost 7 inf + 0 145.007 * * [simplify]: Extracting #2: cost 11 inf + 1 145.007 * * [simplify]: Extracting #3: cost 20 inf + 1 145.007 * * [simplify]: Extracting #4: cost 85 inf + 1 145.008 * * [simplify]: Extracting #5: cost 172 inf + 4 145.008 * * [simplify]: Extracting #6: cost 171 inf + 2009 145.011 * * [simplify]: Extracting #7: cost 93 inf + 34481 145.022 * * [simplify]: Extracting #8: cost 13 inf + 85670 145.044 * * [simplify]: Extracting #9: cost 0 inf + 93469 145.066 * * [simplify]: Extracting #10: cost 0 inf + 93274 145.085 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) 145.085 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 145.085 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 145.085 * * [simplify]: iters left: 6 (15 enodes) 145.090 * * [simplify]: iters left: 5 (63 enodes) 145.101 * * [simplify]: iters left: 4 (120 enodes) 145.133 * * [simplify]: iters left: 3 (251 enodes) 145.283 * * [simplify]: Extracting #0: cost 1 inf + 0 145.283 * * [simplify]: Extracting #1: cost 11 inf + 0 145.283 * * [simplify]: Extracting #2: cost 34 inf + 0 145.283 * * [simplify]: Extracting #3: cost 73 inf + 1 145.284 * * [simplify]: Extracting #4: cost 133 inf + 9 145.286 * * [simplify]: Extracting #5: cost 188 inf + 2176 145.292 * * [simplify]: Extracting #6: cost 114 inf + 30107 145.309 * * [simplify]: Extracting #7: cost 17 inf + 97537 145.333 * * [simplify]: Extracting #8: cost 0 inf + 112114 145.357 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 145.357 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 145.357 * * * * [progress]: [ 186 / 287 ] simplifiying candidate # 145.357 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 145.357 * * [simplify]: iters left: 6 (14 enodes) 145.365 * * [simplify]: iters left: 5 (56 enodes) 145.384 * * [simplify]: iters left: 4 (106 enodes) 145.422 * * [simplify]: iters left: 3 (216 enodes) 145.534 * * [simplify]: Extracting #0: cost 1 inf + 0 145.534 * * [simplify]: Extracting #1: cost 4 inf + 0 145.534 * * [simplify]: Extracting #2: cost 5 inf + 1 145.534 * * [simplify]: Extracting #3: cost 14 inf + 1 145.535 * * [simplify]: Extracting #4: cost 79 inf + 1 145.535 * * [simplify]: Extracting #5: cost 166 inf + 4 145.537 * * [simplify]: Extracting #6: cost 169 inf + 1176 145.541 * * [simplify]: Extracting #7: cost 105 inf + 22694 145.558 * * [simplify]: Extracting #8: cost 15 inf + 82695 145.579 * * [simplify]: Extracting #9: cost 0 inf + 91758 145.593 * * [simplify]: Extracting #10: cost 0 inf + 91597 145.604 * [simplify]: Simplified to (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 145.604 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 145.604 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 145.604 * * [simplify]: iters left: 6 (15 enodes) 145.609 * * [simplify]: iters left: 5 (63 enodes) 145.630 * * [simplify]: iters left: 4 (120 enodes) 145.673 * * [simplify]: iters left: 3 (251 enodes) 145.823 * * [simplify]: Extracting #0: cost 1 inf + 0 145.823 * * [simplify]: Extracting #1: cost 11 inf + 0 145.823 * * [simplify]: Extracting #2: cost 34 inf + 0 145.823 * * [simplify]: Extracting #3: cost 73 inf + 1 145.824 * * [simplify]: Extracting #4: cost 133 inf + 9 145.825 * * [simplify]: Extracting #5: cost 188 inf + 2176 145.831 * * [simplify]: Extracting #6: cost 114 inf + 30027 145.842 * * [simplify]: Extracting #7: cost 17 inf + 97017 145.857 * * [simplify]: Extracting #8: cost 0 inf + 111514 145.875 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 145.875 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 145.876 * * * * [progress]: [ 187 / 287 ] simplifiying candidate # 145.876 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 145.876 * * [simplify]: iters left: 6 (12 enodes) 145.881 * * [simplify]: iters left: 5 (49 enodes) 145.891 * * [simplify]: iters left: 4 (96 enodes) 145.909 * * [simplify]: iters left: 3 (193 enodes) 145.973 * * [simplify]: iters left: 2 (471 enodes) 146.276 * * [simplify]: Extracting #0: cost 1 inf + 0 146.276 * * [simplify]: Extracting #1: cost 97 inf + 0 146.278 * * [simplify]: Extracting #2: cost 273 inf + 1 146.281 * * [simplify]: Extracting #3: cost 332 inf + 4 146.284 * * [simplify]: Extracting #4: cost 307 inf + 5329 146.298 * * [simplify]: Extracting #5: cost 189 inf + 54808 146.337 * * [simplify]: Extracting #6: cost 42 inf + 158139 146.374 * * [simplify]: Extracting #7: cost 0 inf + 188067 146.408 * * [simplify]: Extracting #8: cost 0 inf + 187906 146.440 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 146.440 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 146.441 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 146.441 * * [simplify]: iters left: 6 (13 enodes) 146.445 * * [simplify]: iters left: 5 (54 enodes) 146.455 * * [simplify]: iters left: 4 (97 enodes) 146.472 * * [simplify]: iters left: 3 (190 enodes) 146.537 * * [simplify]: Extracting #0: cost 1 inf + 0 146.537 * * [simplify]: Extracting #1: cost 38 inf + 0 146.538 * * [simplify]: Extracting #2: cost 128 inf + 0 146.539 * * [simplify]: Extracting #3: cost 160 inf + 3 146.540 * * [simplify]: Extracting #4: cost 150 inf + 1134 146.543 * * [simplify]: Extracting #5: cost 103 inf + 16779 146.555 * * [simplify]: Extracting #6: cost 17 inf + 68912 146.573 * * [simplify]: Extracting #7: cost 0 inf + 79691 146.591 * * [simplify]: Extracting #8: cost 0 inf + 79273 146.609 * * [simplify]: Extracting #9: cost 0 inf + 79272 146.624 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 146.624 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 146.624 * * * * [progress]: [ 188 / 287 ] simplifiying candidate # 146.624 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 146.624 * * [simplify]: iters left: 6 (12 enodes) 146.628 * * [simplify]: iters left: 5 (48 enodes) 146.637 * * [simplify]: iters left: 4 (84 enodes) 146.654 * * [simplify]: iters left: 3 (138 enodes) 146.710 * * [simplify]: iters left: 2 (290 enodes) 146.850 * * [simplify]: Extracting #0: cost 1 inf + 0 146.850 * * [simplify]: Extracting #1: cost 49 inf + 0 146.851 * * [simplify]: Extracting #2: cost 140 inf + 1 146.851 * * [simplify]: Extracting #3: cost 182 inf + 4 146.852 * * [simplify]: Extracting #4: cost 165 inf + 3384 146.855 * * [simplify]: Extracting #5: cost 109 inf + 17227 146.863 * * [simplify]: Extracting #6: cost 19 inf + 75042 146.874 * * [simplify]: Extracting #7: cost 0 inf + 86632 146.890 * * [simplify]: Extracting #8: cost 0 inf + 85789 146.903 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) 146.903 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 146.903 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 146.903 * * [simplify]: iters left: 6 (13 enodes) 146.907 * * [simplify]: iters left: 5 (54 enodes) 146.917 * * [simplify]: iters left: 4 (97 enodes) 146.945 * * [simplify]: iters left: 3 (190 enodes) 146.996 * * [simplify]: Extracting #0: cost 1 inf + 0 146.996 * * [simplify]: Extracting #1: cost 38 inf + 0 146.996 * * [simplify]: Extracting #2: cost 128 inf + 0 146.997 * * [simplify]: Extracting #3: cost 160 inf + 3 146.997 * * [simplify]: Extracting #4: cost 150 inf + 1174 146.999 * * [simplify]: Extracting #5: cost 103 inf + 16859 147.005 * * [simplify]: Extracting #6: cost 17 inf + 68992 147.021 * * [simplify]: Extracting #7: cost 0 inf + 79771 147.039 * * [simplify]: Extracting #8: cost 0 inf + 79353 147.049 * * [simplify]: Extracting #9: cost 0 inf + 79352 147.058 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 147.058 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 147.058 * * * * [progress]: [ 189 / 287 ] simplifiying candidate # 147.058 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 147.059 * * [simplify]: iters left: 6 (11 enodes) 147.062 * * [simplify]: iters left: 5 (44 enodes) 147.070 * * [simplify]: iters left: 4 (76 enodes) 147.092 * * [simplify]: iters left: 3 (135 enodes) 147.131 * * [simplify]: iters left: 2 (307 enodes) 147.235 * * [simplify]: Extracting #0: cost 1 inf + 0 147.236 * * [simplify]: Extracting #1: cost 45 inf + 0 147.236 * * [simplify]: Extracting #2: cost 140 inf + 1 147.238 * * [simplify]: Extracting #3: cost 181 inf + 4 147.239 * * [simplify]: Extracting #4: cost 168 inf + 2286 147.244 * * [simplify]: Extracting #5: cost 119 inf + 12864 147.256 * * [simplify]: Extracting #6: cost 31 inf + 63676 147.275 * * [simplify]: Extracting #7: cost 2 inf + 84292 147.295 * * [simplify]: Extracting #8: cost 0 inf + 83647 147.320 * * [simplify]: Extracting #9: cost 0 inf + 83386 147.340 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 147.340 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 147.341 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 147.341 * * [simplify]: iters left: 6 (13 enodes) 147.348 * * [simplify]: iters left: 5 (54 enodes) 147.367 * * [simplify]: iters left: 4 (97 enodes) 147.400 * * [simplify]: iters left: 3 (190 enodes) 147.452 * * [simplify]: Extracting #0: cost 1 inf + 0 147.452 * * [simplify]: Extracting #1: cost 38 inf + 0 147.452 * * [simplify]: Extracting #2: cost 128 inf + 0 147.452 * * [simplify]: Extracting #3: cost 160 inf + 3 147.453 * * [simplify]: Extracting #4: cost 150 inf + 1094 147.455 * * [simplify]: Extracting #5: cost 103 inf + 16179 147.461 * * [simplify]: Extracting #6: cost 17 inf + 66872 147.470 * * [simplify]: Extracting #7: cost 0 inf + 77171 147.478 * * [simplify]: Extracting #8: cost 0 inf + 76753 147.492 * * [simplify]: Extracting #9: cost 0 inf + 76752 147.509 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 147.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 147.510 * * * * [progress]: [ 190 / 287 ] simplifiying candidate # 147.510 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 147.510 * * [simplify]: iters left: 6 (10 enodes) 147.519 * * [simplify]: iters left: 5 (41 enodes) 147.533 * * [simplify]: iters left: 4 (68 enodes) 147.557 * * [simplify]: iters left: 3 (108 enodes) 147.594 * * [simplify]: iters left: 2 (201 enodes) 147.662 * * [simplify]: iters left: 1 (405 enodes) 147.923 * * [simplify]: Extracting #0: cost 1 inf + 0 147.923 * * [simplify]: Extracting #1: cost 45 inf + 0 147.924 * * [simplify]: Extracting #2: cost 171 inf + 3 147.925 * * [simplify]: Extracting #3: cost 225 inf + 7 147.927 * * [simplify]: Extracting #4: cost 180 inf + 9544 147.933 * * [simplify]: Extracting #5: cost 113 inf + 27015 147.955 * * [simplify]: Extracting #6: cost 50 inf + 63507 147.973 * * [simplify]: Extracting #7: cost 4 inf + 99608 148.008 * * [simplify]: Extracting #8: cost 0 inf + 102143 148.029 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 148.029 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 148.029 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 148.030 * * [simplify]: iters left: 6 (12 enodes) 148.036 * * [simplify]: iters left: 5 (51 enodes) 148.053 * * [simplify]: iters left: 4 (90 enodes) 148.084 * * [simplify]: iters left: 3 (181 enodes) 148.138 * * [simplify]: Extracting #0: cost 1 inf + 0 148.138 * * [simplify]: Extracting #1: cost 38 inf + 0 148.139 * * [simplify]: Extracting #2: cost 127 inf + 0 148.140 * * [simplify]: Extracting #3: cost 156 inf + 45 148.141 * * [simplify]: Extracting #4: cost 149 inf + 1928 148.145 * * [simplify]: Extracting #5: cost 91 inf + 21734 148.159 * * [simplify]: Extracting #6: cost 7 inf + 71818 148.175 * * [simplify]: Extracting #7: cost 0 inf + 75903 148.191 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 148.191 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 148.192 * * * * [progress]: [ 191 / 287 ] simplifiying candidate # 148.192 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 148.192 * * [simplify]: iters left: 6 (11 enodes) 148.202 * * [simplify]: iters left: 5 (44 enodes) 148.216 * * [simplify]: iters left: 4 (76 enodes) 148.230 * * [simplify]: iters left: 3 (135 enodes) 148.275 * * [simplify]: iters left: 2 (307 enodes) 148.370 * * [simplify]: Extracting #0: cost 1 inf + 0 148.370 * * [simplify]: Extracting #1: cost 45 inf + 0 148.371 * * [simplify]: Extracting #2: cost 140 inf + 1 148.372 * * [simplify]: Extracting #3: cost 181 inf + 4 148.374 * * [simplify]: Extracting #4: cost 168 inf + 2286 148.378 * * [simplify]: Extracting #5: cost 119 inf + 12864 148.390 * * [simplify]: Extracting #6: cost 31 inf + 63676 148.410 * * [simplify]: Extracting #7: cost 2 inf + 84292 148.428 * * [simplify]: Extracting #8: cost 0 inf + 83647 148.439 * * [simplify]: Extracting #9: cost 0 inf + 83386 148.449 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 148.449 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 148.449 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 148.449 * * [simplify]: iters left: 6 (13 enodes) 148.453 * * [simplify]: iters left: 5 (54 enodes) 148.466 * * [simplify]: iters left: 4 (97 enodes) 148.503 * * [simplify]: iters left: 3 (190 enodes) 148.588 * * [simplify]: Extracting #0: cost 1 inf + 0 148.589 * * [simplify]: Extracting #1: cost 38 inf + 0 148.589 * * [simplify]: Extracting #2: cost 128 inf + 0 148.590 * * [simplify]: Extracting #3: cost 160 inf + 3 148.591 * * [simplify]: Extracting #4: cost 150 inf + 1094 148.595 * * [simplify]: Extracting #5: cost 103 inf + 16179 148.608 * * [simplify]: Extracting #6: cost 17 inf + 66872 148.629 * * [simplify]: Extracting #7: cost 0 inf + 77171 148.645 * * [simplify]: Extracting #8: cost 0 inf + 76753 148.663 * * [simplify]: Extracting #9: cost 0 inf + 76752 148.681 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 148.681 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 148.681 * * * * [progress]: [ 192 / 287 ] simplifiying candidate # 148.681 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 148.681 * * [simplify]: iters left: 6 (9 enodes) 148.688 * * [simplify]: iters left: 5 (38 enodes) 148.701 * * [simplify]: iters left: 4 (65 enodes) 148.722 * * [simplify]: iters left: 3 (105 enodes) 148.753 * * [simplify]: iters left: 2 (194 enodes) 148.813 * * [simplify]: iters left: 1 (398 enodes) 149.104 * * [simplify]: Extracting #0: cost 1 inf + 0 149.105 * * [simplify]: Extracting #1: cost 49 inf + 0 149.106 * * [simplify]: Extracting #2: cost 178 inf + 3 149.107 * * [simplify]: Extracting #3: cost 226 inf + 7 149.110 * * [simplify]: Extracting #4: cost 205 inf + 2388 149.118 * * [simplify]: Extracting #5: cost 117 inf + 31584 149.142 * * [simplify]: Extracting #6: cost 12 inf + 103864 149.176 * * [simplify]: Extracting #7: cost 0 inf + 112625 149.214 * * [simplify]: Extracting #8: cost 0 inf + 111980 149.235 * * [simplify]: Extracting #9: cost 0 inf + 111936 149.262 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 149.262 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 149.263 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 149.263 * * [simplify]: iters left: 6 (12 enodes) 149.270 * * [simplify]: iters left: 5 (51 enodes) 149.288 * * [simplify]: iters left: 4 (90 enodes) 149.312 * * [simplify]: iters left: 3 (181 enodes) 149.386 * * [simplify]: Extracting #0: cost 1 inf + 0 149.386 * * [simplify]: Extracting #1: cost 38 inf + 0 149.387 * * [simplify]: Extracting #2: cost 127 inf + 0 149.388 * * [simplify]: Extracting #3: cost 156 inf + 45 149.389 * * [simplify]: Extracting #4: cost 149 inf + 1928 149.393 * * [simplify]: Extracting #5: cost 91 inf + 21734 149.407 * * [simplify]: Extracting #6: cost 7 inf + 71818 149.423 * * [simplify]: Extracting #7: cost 0 inf + 75903 149.439 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 149.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 149.439 * * * * [progress]: [ 193 / 287 ] simplifiying candidate # 149.439 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) 1) 149.439 * * [simplify]: iters left: 6 (7 enodes) 149.444 * * [simplify]: iters left: 5 (25 enodes) 149.452 * * [simplify]: iters left: 4 (34 enodes) 149.463 * * [simplify]: Extracting #0: cost 1 inf + 0 149.463 * * [simplify]: Extracting #1: cost 0 inf + 1 149.463 * [simplify]: Simplified to 1 149.463 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 149.463 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 149.464 * * [simplify]: iters left: 6 (14 enodes) 149.467 * * [simplify]: iters left: 5 (62 enodes) 149.479 * * [simplify]: iters left: 4 (132 enodes) 149.518 * * [simplify]: iters left: 3 (362 enodes) 149.755 * * [simplify]: Extracting #0: cost 1 inf + 0 149.755 * * [simplify]: Extracting #1: cost 106 inf + 0 149.756 * * [simplify]: Extracting #2: cost 407 inf + 0 149.758 * * [simplify]: Extracting #3: cost 444 inf + 87 149.763 * * [simplify]: Extracting #4: cost 344 inf + 49038 149.799 * * [simplify]: Extracting #5: cost 92 inf + 239473 149.870 * * [simplify]: Extracting #6: cost 2 inf + 321091 149.946 * * [simplify]: Extracting #7: cost 0 inf + 321622 150.018 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 150.019 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 150.019 * * * * [progress]: [ 194 / 287 ] simplifiying candidate # 150.019 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (sqrt k)) 150.019 * * [simplify]: iters left: 6 (8 enodes) 150.024 * * [simplify]: iters left: 5 (30 enodes) 150.034 * * [simplify]: iters left: 4 (39 enodes) 150.046 * * [simplify]: Extracting #0: cost 1 inf + 0 150.046 * * [simplify]: Extracting #1: cost 4 inf + 0 150.046 * * [simplify]: Extracting #2: cost 5 inf + 1 150.046 * * [simplify]: Extracting #3: cost 2 inf + 125 150.046 * * [simplify]: Extracting #4: cost 0 inf + 248 150.046 * [simplify]: Simplified to (/ 1 (sqrt k)) 150.046 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 150.047 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 150.047 * * [simplify]: iters left: 6 (13 enodes) 150.054 * * [simplify]: iters left: 5 (59 enodes) 150.075 * * [simplify]: iters left: 4 (125 enodes) 150.110 * * [simplify]: iters left: 3 (331 enodes) 150.295 * * [simplify]: Extracting #0: cost 1 inf + 0 150.295 * * [simplify]: Extracting #1: cost 102 inf + 0 150.296 * * [simplify]: Extracting #2: cost 347 inf + 1 150.298 * * [simplify]: Extracting #3: cost 387 inf + 5 150.300 * * [simplify]: Extracting #4: cost 388 inf + 10 150.309 * * [simplify]: Extracting #5: cost 286 inf + 47305 150.326 * * [simplify]: Extracting #6: cost 88 inf + 185653 150.367 * * [simplify]: Extracting #7: cost 2 inf + 252359 150.393 * * [simplify]: Extracting #8: cost 0 inf + 253873 150.421 * [simplify]: Simplified to (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 150.421 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 150.421 * * * * [progress]: [ 195 / 287 ] simplifiying candidate # 150.421 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 150.421 * * [simplify]: iters left: 6 (14 enodes) 150.426 * * [simplify]: iters left: 5 (57 enodes) 150.440 * * [simplify]: iters left: 4 (124 enodes) 150.498 * * [simplify]: iters left: 3 (339 enodes) 150.758 * * [simplify]: Extracting #0: cost 1 inf + 0 150.758 * * [simplify]: Extracting #1: cost 87 inf + 0 150.759 * * [simplify]: Extracting #2: cost 250 inf + 1 150.760 * * [simplify]: Extracting #3: cost 236 inf + 2361 150.764 * * [simplify]: Extracting #4: cost 132 inf + 43471 150.782 * * [simplify]: Extracting #5: cost 4 inf + 112631 150.796 * * [simplify]: Extracting #6: cost 0 inf + 114639 150.811 * [simplify]: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) 150.812 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 150.812 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 150.812 * * [simplify]: iters left: 6 (13 enodes) 150.820 * * [simplify]: iters left: 5 (57 enodes) 150.840 * * [simplify]: iters left: 4 (121 enodes) 150.892 * * [simplify]: iters left: 3 (370 enodes) 151.180 * * [simplify]: Extracting #0: cost 1 inf + 0 151.180 * * [simplify]: Extracting #1: cost 140 inf + 0 151.182 * * [simplify]: Extracting #2: cost 458 inf + 0 151.184 * * [simplify]: Extracting #3: cost 511 inf + 4 151.188 * * [simplify]: Extracting #4: cost 453 inf + 19095 151.207 * * [simplify]: Extracting #5: cost 227 inf + 180768 151.262 * * [simplify]: Extracting #6: cost 5 inf + 373893 151.316 * * [simplify]: Extracting #7: cost 0 inf + 374836 151.362 * * [simplify]: Extracting #8: cost 0 inf + 374671 151.419 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 151.419 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 151.419 * * * * [progress]: [ 196 / 287 ] simplifiying candidate # 151.419 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 151.420 * * [simplify]: iters left: 6 (14 enodes) 151.424 * * [simplify]: iters left: 5 (58 enodes) 151.436 * * [simplify]: iters left: 4 (126 enodes) 151.496 * * [simplify]: iters left: 3 (348 enodes) 151.789 * * [simplify]: Extracting #0: cost 1 inf + 0 151.790 * * [simplify]: Extracting #1: cost 85 inf + 0 151.791 * * [simplify]: Extracting #2: cost 258 inf + 1 151.794 * * [simplify]: Extracting #3: cost 274 inf + 970 151.798 * * [simplify]: Extracting #4: cost 230 inf + 14563 151.813 * * [simplify]: Extracting #5: cost 116 inf + 72485 151.843 * * [simplify]: Extracting #6: cost 12 inf + 137385 151.872 * * [simplify]: Extracting #7: cost 0 inf + 145683 151.888 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) 151.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 151.888 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 151.889 * * [simplify]: iters left: 6 (11 enodes) 151.892 * * [simplify]: iters left: 5 (46 enodes) 151.903 * * [simplify]: iters left: 4 (84 enodes) 151.933 * * [simplify]: iters left: 3 (172 enodes) 152.012 * * [simplify]: iters left: 2 (485 enodes) 152.427 * * [simplify]: Extracting #0: cost 1 inf + 0 152.427 * * [simplify]: Extracting #1: cost 156 inf + 0 152.429 * * [simplify]: Extracting #2: cost 511 inf + 0 152.431 * * [simplify]: Extracting #3: cost 624 inf + 4 152.434 * * [simplify]: Extracting #4: cost 609 inf + 2808 152.458 * * [simplify]: Extracting #5: cost 414 inf + 109800 152.520 * * [simplify]: Extracting #6: cost 65 inf + 391561 152.592 * * [simplify]: Extracting #7: cost 0 inf + 436045 152.689 * * [simplify]: Extracting #8: cost 0 inf + 432504 152.785 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 152.785 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (/ (sqrt k) (sqrt PI))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 152.786 * * * * [progress]: [ 197 / 287 ] simplifiying candidate # 152.786 * [simplify]: Simplifying (/ (pow 1 (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 152.786 * * [simplify]: iters left: 6 (14 enodes) 152.794 * * [simplify]: iters left: 5 (58 enodes) 152.820 * * [simplify]: iters left: 4 (126 enodes) 152.887 * * [simplify]: iters left: 3 (339 enodes) 153.164 * * [simplify]: Extracting #0: cost 1 inf + 0 153.164 * * [simplify]: Extracting #1: cost 83 inf + 0 153.165 * * [simplify]: Extracting #2: cost 249 inf + 1 153.167 * * [simplify]: Extracting #3: cost 263 inf + 882 153.169 * * [simplify]: Extracting #4: cost 225 inf + 13467 153.181 * * [simplify]: Extracting #5: cost 93 inf + 79874 153.195 * * [simplify]: Extracting #6: cost 11 inf + 131280 153.212 * * [simplify]: Extracting #7: cost 0 inf + 138762 153.241 * * [simplify]: Extracting #8: cost 0 inf + 138169 153.257 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) 153.257 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 153.258 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 153.258 * * [simplify]: iters left: 6 (10 enodes) 153.261 * * [simplify]: iters left: 5 (43 enodes) 153.270 * * [simplify]: iters left: 4 (81 enodes) 153.286 * * [simplify]: iters left: 3 (166 enodes) 153.353 * * [simplify]: iters left: 2 (477 enodes) 153.717 * * [simplify]: Extracting #0: cost 1 inf + 0 153.717 * * [simplify]: Extracting #1: cost 153 inf + 0 153.719 * * [simplify]: Extracting #2: cost 517 inf + 0 153.721 * * [simplify]: Extracting #3: cost 626 inf + 4 153.725 * * [simplify]: Extracting #4: cost 598 inf + 5199 153.731 * * [simplify]: Extracting #5: cost 484 inf + 53085 153.791 * * [simplify]: Extracting #6: cost 132 inf + 351519 153.895 * * [simplify]: Extracting #7: cost 0 inf + 466752 153.984 * * [simplify]: Extracting #8: cost 0 inf + 461459 154.065 * * [simplify]: Extracting #9: cost 0 inf + 461418 154.141 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 154.142 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 154.142 * * * * [progress]: [ 198 / 287 ] simplifiying candidate # 154.142 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 154.142 * * [simplify]: iters left: 6 (18 enodes) 154.152 * * [simplify]: iters left: 5 (78 enodes) 154.181 * * [simplify]: iters left: 4 (144 enodes) 154.211 * * [simplify]: iters left: 3 (274 enodes) 154.360 * * [simplify]: Extracting #0: cost 1 inf + 0 154.360 * * [simplify]: Extracting #1: cost 11 inf + 0 154.360 * * [simplify]: Extracting #2: cost 22 inf + 0 154.361 * * [simplify]: Extracting #3: cost 41 inf + 0 154.361 * * [simplify]: Extracting #4: cost 127 inf + 1 154.362 * * [simplify]: Extracting #5: cost 213 inf + 48 154.365 * * [simplify]: Extracting #6: cost 174 inf + 12674 154.371 * * [simplify]: Extracting #7: cost 105 inf + 44183 154.381 * * [simplify]: Extracting #8: cost 13 inf + 103859 154.400 * * [simplify]: Extracting #9: cost 0 inf + 112641 154.418 * [simplify]: Simplified to (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 154.418 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 154.418 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 154.418 * * [simplify]: iters left: 6 (16 enodes) 154.423 * * [simplify]: iters left: 5 (66 enodes) 154.434 * * [simplify]: iters left: 4 (121 enodes) 154.475 * * [simplify]: iters left: 3 (246 enodes) 154.625 * * [simplify]: Extracting #0: cost 1 inf + 0 154.625 * * [simplify]: Extracting #1: cost 4 inf + 0 154.625 * * [simplify]: Extracting #2: cost 8 inf + 0 154.625 * * [simplify]: Extracting #3: cost 27 inf + 0 154.626 * * [simplify]: Extracting #4: cost 113 inf + 1 154.627 * * [simplify]: Extracting #5: cost 196 inf + 48 154.629 * * [simplify]: Extracting #6: cost 158 inf + 9327 154.643 * * [simplify]: Extracting #7: cost 78 inf + 48807 154.653 * * [simplify]: Extracting #8: cost 7 inf + 97975 154.666 * * [simplify]: Extracting #9: cost 0 inf + 101068 154.686 * * [simplify]: Extracting #10: cost 0 inf + 100527 154.698 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 154.698 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 154.698 * * * * [progress]: [ 199 / 287 ] simplifiying candidate # 154.699 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 154.699 * * [simplify]: iters left: 6 (17 enodes) 154.704 * * [simplify]: iters left: 5 (71 enodes) 154.717 * * [simplify]: iters left: 4 (126 enodes) 154.751 * * [simplify]: iters left: 3 (252 enodes) 154.878 * * [simplify]: Extracting #0: cost 1 inf + 0 154.878 * * [simplify]: Extracting #1: cost 7 inf + 0 154.878 * * [simplify]: Extracting #2: cost 14 inf + 0 154.878 * * [simplify]: Extracting #3: cost 33 inf + 0 154.878 * * [simplify]: Extracting #4: cost 119 inf + 1 154.879 * * [simplify]: Extracting #5: cost 199 inf + 1711 154.882 * * [simplify]: Extracting #6: cost 131 inf + 24174 154.894 * * [simplify]: Extracting #7: cost 43 inf + 78396 154.919 * * [simplify]: Extracting #8: cost 0 inf + 106806 154.944 * * [simplify]: Extracting #9: cost 0 inf + 102518 154.971 * * [simplify]: Extracting #10: cost 0 inf + 102395 154.995 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 154.995 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 154.996 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 154.996 * * [simplify]: iters left: 6 (16 enodes) 155.005 * * [simplify]: iters left: 5 (66 enodes) 155.024 * * [simplify]: iters left: 4 (121 enodes) 155.046 * * [simplify]: iters left: 3 (246 enodes) 155.191 * * [simplify]: Extracting #0: cost 1 inf + 0 155.191 * * [simplify]: Extracting #1: cost 4 inf + 0 155.191 * * [simplify]: Extracting #2: cost 8 inf + 0 155.191 * * [simplify]: Extracting #3: cost 27 inf + 0 155.191 * * [simplify]: Extracting #4: cost 113 inf + 1 155.192 * * [simplify]: Extracting #5: cost 196 inf + 48 155.195 * * [simplify]: Extracting #6: cost 158 inf + 9247 155.208 * * [simplify]: Extracting #7: cost 78 inf + 48647 155.229 * * [simplify]: Extracting #8: cost 7 inf + 97815 155.253 * * [simplify]: Extracting #9: cost 0 inf + 100908 155.272 * * [simplify]: Extracting #10: cost 0 inf + 100367 155.284 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 155.284 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 155.284 * * * * [progress]: [ 200 / 287 ] simplifiying candidate # 155.284 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 155.284 * * [simplify]: iters left: 6 (15 enodes) 155.289 * * [simplify]: iters left: 5 (64 enodes) 155.301 * * [simplify]: iters left: 4 (125 enodes) 155.330 * * [simplify]: iters left: 3 (288 enodes) 155.467 * * [simplify]: Extracting #0: cost 1 inf + 0 155.467 * * [simplify]: Extracting #1: cost 54 inf + 0 155.468 * * [simplify]: Extracting #2: cost 170 inf + 0 155.468 * * [simplify]: Extracting #3: cost 210 inf + 2 155.471 * * [simplify]: Extracting #4: cost 167 inf + 21194 155.483 * * [simplify]: Extracting #5: cost 34 inf + 104365 155.501 * * [simplify]: Extracting #6: cost 0 inf + 129187 155.537 * * [simplify]: Extracting #7: cost 0 inf + 129029 155.571 * [simplify]: Simplified to (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) 155.572 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 155.572 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 155.572 * * [simplify]: iters left: 6 (14 enodes) 155.580 * * [simplify]: iters left: 5 (57 enodes) 155.599 * * [simplify]: iters left: 4 (96 enodes) 155.630 * * [simplify]: iters left: 3 (159 enodes) 155.686 * * [simplify]: iters left: 2 (319 enodes) 155.815 * * [simplify]: Extracting #0: cost 1 inf + 0 155.816 * * [simplify]: Extracting #1: cost 49 inf + 0 155.816 * * [simplify]: Extracting #2: cost 151 inf + 0 155.818 * * [simplify]: Extracting #3: cost 210 inf + 3 155.820 * * [simplify]: Extracting #4: cost 204 inf + 7348 155.834 * * [simplify]: Extracting #5: cost 72 inf + 84014 155.862 * * [simplify]: Extracting #6: cost 3 inf + 141572 155.893 * * [simplify]: Extracting #7: cost 0 inf + 144004 155.915 * * [simplify]: Extracting #8: cost 0 inf + 143611 155.932 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 155.933 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow n (/ (- 1 k) 2))) (cbrt (sqrt k)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 155.933 * * * * [progress]: [ 201 / 287 ] simplifiying candidate # 155.933 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 155.933 * * [simplify]: iters left: 6 (15 enodes) 155.940 * * [simplify]: iters left: 5 (63 enodes) 155.961 * * [simplify]: iters left: 4 (110 enodes) 155.987 * * [simplify]: iters left: 3 (195 enodes) 156.034 * * [simplify]: iters left: 2 (432 enodes) 156.218 * * [simplify]: Extracting #0: cost 1 inf + 0 156.218 * * [simplify]: Extracting #1: cost 87 inf + 0 156.219 * * [simplify]: Extracting #2: cost 303 inf + 0 156.220 * * [simplify]: Extracting #3: cost 379 inf + 3 156.223 * * [simplify]: Extracting #4: cost 355 inf + 15718 156.244 * * [simplify]: Extracting #5: cost 152 inf + 148057 156.281 * * [simplify]: Extracting #6: cost 4 inf + 263959 156.351 * * [simplify]: Extracting #7: cost 0 inf + 260895 156.418 * * [simplify]: Extracting #8: cost 0 inf + 259939 156.485 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 156.486 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 156.486 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 156.486 * * [simplify]: iters left: 6 (14 enodes) 156.494 * * [simplify]: iters left: 5 (57 enodes) 156.513 * * [simplify]: iters left: 4 (96 enodes) 156.546 * * [simplify]: iters left: 3 (159 enodes) 156.605 * * [simplify]: iters left: 2 (319 enodes) 156.753 * * [simplify]: Extracting #0: cost 1 inf + 0 156.754 * * [simplify]: Extracting #1: cost 49 inf + 0 156.754 * * [simplify]: Extracting #2: cost 151 inf + 0 156.756 * * [simplify]: Extracting #3: cost 210 inf + 3 156.758 * * [simplify]: Extracting #4: cost 204 inf + 7388 156.766 * * [simplify]: Extracting #5: cost 72 inf + 84094 156.783 * * [simplify]: Extracting #6: cost 3 inf + 141652 156.799 * * [simplify]: Extracting #7: cost 0 inf + 144084 156.826 * * [simplify]: Extracting #8: cost 0 inf + 143691 156.858 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 156.858 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 156.858 * * * * [progress]: [ 202 / 287 ] simplifiying candidate # 156.859 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 156.859 * * [simplify]: iters left: 6 (14 enodes) 156.867 * * [simplify]: iters left: 5 (59 enodes) 156.877 * * [simplify]: iters left: 4 (106 enodes) 156.905 * * [simplify]: iters left: 3 (191 enodes) 156.971 * * [simplify]: iters left: 2 (432 enodes) 157.128 * * [simplify]: Extracting #0: cost 1 inf + 0 157.128 * * [simplify]: Extracting #1: cost 80 inf + 0 157.129 * * [simplify]: Extracting #2: cost 276 inf + 0 157.130 * * [simplify]: Extracting #3: cost 348 inf + 3 157.135 * * [simplify]: Extracting #4: cost 340 inf + 8803 157.144 * * [simplify]: Extracting #5: cost 277 inf + 36963 157.174 * * [simplify]: Extracting #6: cost 119 inf + 165521 157.232 * * [simplify]: Extracting #7: cost 17 inf + 253977 157.288 * * [simplify]: Extracting #8: cost 0 inf + 263749 157.319 * * [simplify]: Extracting #9: cost 0 inf + 261653 157.382 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 157.382 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 157.383 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 157.383 * * [simplify]: iters left: 6 (14 enodes) 157.391 * * [simplify]: iters left: 5 (57 enodes) 157.407 * * [simplify]: iters left: 4 (96 enodes) 157.425 * * [simplify]: iters left: 3 (159 enodes) 157.483 * * [simplify]: iters left: 2 (319 enodes) 157.600 * * [simplify]: Extracting #0: cost 1 inf + 0 157.600 * * [simplify]: Extracting #1: cost 49 inf + 0 157.601 * * [simplify]: Extracting #2: cost 151 inf + 0 157.601 * * [simplify]: Extracting #3: cost 210 inf + 3 157.603 * * [simplify]: Extracting #4: cost 204 inf + 7068 157.610 * * [simplify]: Extracting #5: cost 72 inf + 82254 157.624 * * [simplify]: Extracting #6: cost 3 inf + 138692 157.641 * * [simplify]: Extracting #7: cost 0 inf + 141044 157.657 * * [simplify]: Extracting #8: cost 0 inf + 140651 157.686 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 157.686 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 157.686 * * * * [progress]: [ 203 / 287 ] simplifiying candidate # 157.687 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 157.687 * * [simplify]: iters left: 6 (13 enodes) 157.695 * * [simplify]: iters left: 5 (56 enodes) 157.714 * * [simplify]: iters left: 4 (101 enodes) 157.733 * * [simplify]: iters left: 3 (193 enodes) 157.778 * * [simplify]: iters left: 2 (420 enodes) 158.005 * * [simplify]: Extracting #0: cost 1 inf + 0 158.005 * * [simplify]: Extracting #1: cost 102 inf + 0 158.006 * * [simplify]: Extracting #2: cost 300 inf + 1 158.007 * * [simplify]: Extracting #3: cost 343 inf + 4 158.009 * * [simplify]: Extracting #4: cost 374 inf + 11 158.012 * * [simplify]: Extracting #5: cost 318 inf + 16742 158.030 * * [simplify]: Extracting #6: cost 167 inf + 105182 158.060 * * [simplify]: Extracting #7: cost 6 inf + 235666 158.100 * * [simplify]: Extracting #8: cost 0 inf + 236919 158.136 * * [simplify]: Extracting #9: cost 0 inf + 236829 158.191 * [simplify]: Simplified to (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) 158.191 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 158.191 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 158.192 * * [simplify]: iters left: 6 (13 enodes) 158.199 * * [simplify]: iters left: 5 (54 enodes) 158.209 * * [simplify]: iters left: 4 (93 enodes) 158.225 * * [simplify]: iters left: 3 (160 enodes) 158.286 * * [simplify]: iters left: 2 (322 enodes) 158.417 * * [simplify]: Extracting #0: cost 1 inf + 0 158.417 * * [simplify]: Extracting #1: cost 52 inf + 0 158.417 * * [simplify]: Extracting #2: cost 150 inf + 0 158.418 * * [simplify]: Extracting #3: cost 203 inf + 45 158.420 * * [simplify]: Extracting #4: cost 188 inf + 9769 158.428 * * [simplify]: Extracting #5: cost 68 inf + 76755 158.450 * * [simplify]: Extracting #6: cost 1 inf + 126582 158.466 * * [simplify]: Extracting #7: cost 0 inf + 125129 158.499 * * [simplify]: Extracting #8: cost 0 inf + 125049 158.529 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 158.529 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (pow 2 (/ (- 1 k) 2))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 158.529 * * * * [progress]: [ 204 / 287 ] simplifiying candidate # 158.530 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 158.530 * * [simplify]: iters left: 6 (14 enodes) 158.537 * * [simplify]: iters left: 5 (59 enodes) 158.558 * * [simplify]: iters left: 4 (106 enodes) 158.593 * * [simplify]: iters left: 3 (191 enodes) 158.678 * * [simplify]: iters left: 2 (432 enodes) 158.897 * * [simplify]: Extracting #0: cost 1 inf + 0 158.897 * * [simplify]: Extracting #1: cost 80 inf + 0 158.899 * * [simplify]: Extracting #2: cost 276 inf + 0 158.901 * * [simplify]: Extracting #3: cost 348 inf + 3 158.906 * * [simplify]: Extracting #4: cost 340 inf + 8803 158.914 * * [simplify]: Extracting #5: cost 277 inf + 36963 158.935 * * [simplify]: Extracting #6: cost 119 inf + 165521 158.964 * * [simplify]: Extracting #7: cost 17 inf + 253977 159.003 * * [simplify]: Extracting #8: cost 0 inf + 263749 159.047 * * [simplify]: Extracting #9: cost 0 inf + 261653 159.080 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 159.080 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.081 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.081 * * [simplify]: iters left: 6 (14 enodes) 159.088 * * [simplify]: iters left: 5 (57 enodes) 159.102 * * [simplify]: iters left: 4 (96 enodes) 159.119 * * [simplify]: iters left: 3 (159 enodes) 159.149 * * [simplify]: iters left: 2 (319 enodes) 159.242 * * [simplify]: Extracting #0: cost 1 inf + 0 159.242 * * [simplify]: Extracting #1: cost 49 inf + 0 159.243 * * [simplify]: Extracting #2: cost 151 inf + 0 159.244 * * [simplify]: Extracting #3: cost 210 inf + 3 159.245 * * [simplify]: Extracting #4: cost 204 inf + 7068 159.252 * * [simplify]: Extracting #5: cost 72 inf + 82254 159.269 * * [simplify]: Extracting #6: cost 3 inf + 138692 159.284 * * [simplify]: Extracting #7: cost 0 inf + 141044 159.301 * * [simplify]: Extracting #8: cost 0 inf + 140651 159.332 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 159.332 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 159.333 * * * * [progress]: [ 205 / 287 ] simplifiying candidate # 159.333 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 159.333 * * [simplify]: iters left: 6 (12 enodes) 159.340 * * [simplify]: iters left: 5 (53 enodes) 159.358 * * [simplify]: iters left: 4 (92 enodes) 159.377 * * [simplify]: iters left: 3 (189 enodes) 159.428 * * [simplify]: iters left: 2 (439 enodes) 159.671 * * [simplify]: Extracting #0: cost 1 inf + 0 159.671 * * [simplify]: Extracting #1: cost 93 inf + 0 159.672 * * [simplify]: Extracting #2: cost 287 inf + 1 159.674 * * [simplify]: Extracting #3: cost 339 inf + 4 159.675 * * [simplify]: Extracting #4: cost 369 inf + 11 159.678 * * [simplify]: Extracting #5: cost 320 inf + 11471 159.684 * * [simplify]: Extracting #6: cost 235 inf + 48423 159.713 * * [simplify]: Extracting #7: cost 40 inf + 200682 159.748 * * [simplify]: Extracting #8: cost 0 inf + 231364 159.784 * * [simplify]: Extracting #9: cost 0 inf + 230356 159.819 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) 159.819 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 159.820 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 159.820 * * [simplify]: iters left: 6 (13 enodes) 159.824 * * [simplify]: iters left: 5 (54 enodes) 159.835 * * [simplify]: iters left: 4 (93 enodes) 159.863 * * [simplify]: iters left: 3 (160 enodes) 159.920 * * [simplify]: iters left: 2 (322 enodes) 160.017 * * [simplify]: Extracting #0: cost 1 inf + 0 160.017 * * [simplify]: Extracting #1: cost 52 inf + 0 160.018 * * [simplify]: Extracting #2: cost 150 inf + 0 160.019 * * [simplify]: Extracting #3: cost 203 inf + 45 160.020 * * [simplify]: Extracting #4: cost 188 inf + 9769 160.028 * * [simplify]: Extracting #5: cost 68 inf + 76755 160.047 * * [simplify]: Extracting #6: cost 1 inf + 126582 160.070 * * [simplify]: Extracting #7: cost 0 inf + 125129 160.086 * * [simplify]: Extracting #8: cost 0 inf + 125049 160.112 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 160.112 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2))))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 160.113 * * * * [progress]: [ 206 / 287 ] simplifiying candidate # 160.113 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 1) 160.113 * * [simplify]: iters left: 6 (10 enodes) 160.119 * * [simplify]: iters left: 5 (41 enodes) 160.133 * * [simplify]: iters left: 4 (74 enodes) 160.154 * * [simplify]: iters left: 3 (110 enodes) 160.190 * * [simplify]: iters left: 2 (183 enodes) 160.257 * * [simplify]: iters left: 1 (335 enodes) 160.414 * * [simplify]: Extracting #0: cost 1 inf + 0 160.414 * * [simplify]: Extracting #1: cost 5 inf + 0 160.414 * * [simplify]: Extracting #2: cost 7 inf + 1 160.414 * * [simplify]: Extracting #3: cost 28 inf + 1 160.415 * * [simplify]: Extracting #4: cost 89 inf + 3 160.415 * * [simplify]: Extracting #5: cost 129 inf + 8 160.417 * * [simplify]: Extracting #6: cost 119 inf + 1223 160.423 * * [simplify]: Extracting #7: cost 50 inf + 19389 160.435 * * [simplify]: Extracting #8: cost 4 inf + 44974 160.442 * * [simplify]: Extracting #9: cost 0 inf + 47192 160.449 * * [simplify]: Extracting #10: cost 0 inf + 46688 160.457 * [simplify]: Simplified to (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 160.457 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 160.457 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 160.457 * * [simplify]: iters left: 6 (15 enodes) 160.462 * * [simplify]: iters left: 5 (65 enodes) 160.479 * * [simplify]: iters left: 4 (131 enodes) 160.531 * * [simplify]: iters left: 3 (325 enodes) 160.739 * * [simplify]: Extracting #0: cost 1 inf + 0 160.739 * * [simplify]: Extracting #1: cost 86 inf + 0 160.740 * * [simplify]: Extracting #2: cost 274 inf + 0 160.741 * * [simplify]: Extracting #3: cost 307 inf + 86 160.743 * * [simplify]: Extracting #4: cost 286 inf + 9637 160.758 * * [simplify]: Extracting #5: cost 141 inf + 101307 160.792 * * [simplify]: Extracting #6: cost 10 inf + 214194 160.825 * * [simplify]: Extracting #7: cost 0 inf + 222143 160.859 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 160.859 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 160.859 * * * * [progress]: [ 207 / 287 ] simplifiying candidate # 160.860 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) 160.860 * * [simplify]: iters left: 6 (11 enodes) 160.863 * * [simplify]: iters left: 5 (46 enodes) 160.872 * * [simplify]: iters left: 4 (75 enodes) 160.892 * * [simplify]: iters left: 3 (113 enodes) 160.918 * * [simplify]: iters left: 2 (186 enodes) 160.974 * * [simplify]: iters left: 1 (339 enodes) 161.137 * * [simplify]: Extracting #0: cost 1 inf + 0 161.137 * * [simplify]: Extracting #1: cost 7 inf + 0 161.137 * * [simplify]: Extracting #2: cost 14 inf + 0 161.138 * * [simplify]: Extracting #3: cost 33 inf + 83 161.138 * * [simplify]: Extracting #4: cost 97 inf + 85 161.139 * * [simplify]: Extracting #5: cost 129 inf + 338 161.142 * * [simplify]: Extracting #6: cost 90 inf + 5641 161.149 * * [simplify]: Extracting #7: cost 38 inf + 23281 161.157 * * [simplify]: Extracting #8: cost 3 inf + 51047 161.164 * * [simplify]: Extracting #9: cost 0 inf + 51467 161.172 * * [simplify]: Extracting #10: cost 0 inf + 51346 161.179 * * [simplify]: Extracting #11: cost 0 inf + 51266 161.190 * [simplify]: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) 161.190 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt k)) (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 161.190 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 161.190 * * [simplify]: iters left: 6 (14 enodes) 161.198 * * [simplify]: iters left: 5 (62 enodes) 161.220 * * [simplify]: iters left: 4 (124 enodes) 161.272 * * [simplify]: iters left: 3 (291 enodes) 161.403 * * [simplify]: Extracting #0: cost 1 inf + 0 161.403 * * [simplify]: Extracting #1: cost 60 inf + 0 161.404 * * [simplify]: Extracting #2: cost 196 inf + 1 161.410 * * [simplify]: Extracting #3: cost 235 inf + 4 161.412 * * [simplify]: Extracting #4: cost 248 inf + 10 161.416 * * [simplify]: Extracting #5: cost 198 inf + 17671 161.428 * * [simplify]: Extracting #6: cost 41 inf + 113345 161.444 * * [simplify]: Extracting #7: cost 0 inf + 148513 161.468 * * [simplify]: Extracting #8: cost 0 inf + 148307 161.484 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 161.484 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))))) 161.484 * * * * [progress]: [ 208 / 287 ] simplifiying candidate # 161.484 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 161.484 * * [simplify]: iters left: 6 (17 enodes) 161.490 * * [simplify]: iters left: 5 (74 enodes) 161.518 * * [simplify]: iters left: 4 (170 enodes) 161.564 * * [simplify]: iters left: 3 (457 enodes) 161.743 * * [simplify]: Extracting #0: cost 1 inf + 0 161.743 * * [simplify]: Extracting #1: cost 107 inf + 0 161.746 * * [simplify]: Extracting #2: cost 374 inf + 0 161.750 * * [simplify]: Extracting #3: cost 373 inf + 2377 161.755 * * [simplify]: Extracting #4: cost 350 inf + 20751 161.765 * * [simplify]: Extracting #5: cost 293 inf + 55556 161.787 * * [simplify]: Extracting #6: cost 155 inf + 141957 161.811 * * [simplify]: Extracting #7: cost 15 inf + 246767 161.866 * * [simplify]: Extracting #8: cost 0 inf + 259125 161.910 * [simplify]: Simplified to (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) 161.910 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 161.910 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 161.910 * * [simplify]: iters left: 6 (14 enodes) 161.915 * * [simplify]: iters left: 5 (60 enodes) 161.926 * * [simplify]: iters left: 4 (117 enodes) 161.960 * * [simplify]: iters left: 3 (251 enodes) 162.058 * * [simplify]: Extracting #0: cost 1 inf + 0 162.058 * * [simplify]: Extracting #1: cost 10 inf + 0 162.058 * * [simplify]: Extracting #2: cost 75 inf + 0 162.059 * * [simplify]: Extracting #3: cost 170 inf + 2 162.061 * * [simplify]: Extracting #4: cost 185 inf + 1099 162.065 * * [simplify]: Extracting #5: cost 141 inf + 17978 162.079 * * [simplify]: Extracting #6: cost 30 inf + 84352 162.099 * * [simplify]: Extracting #7: cost 0 inf + 102068 162.119 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 162.119 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 162.119 * * * * [progress]: [ 209 / 287 ] simplifiying candidate # 162.119 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 162.120 * * [simplify]: iters left: 6 (17 enodes) 162.129 * * [simplify]: iters left: 5 (73 enodes) 162.162 * * [simplify]: iters left: 4 (158 enodes) 162.222 * * [simplify]: iters left: 3 (417 enodes) 162.485 * * [simplify]: Extracting #0: cost 1 inf + 0 162.485 * * [simplify]: Extracting #1: cost 114 inf + 0 162.487 * * [simplify]: Extracting #2: cost 392 inf + 0 162.490 * * [simplify]: Extracting #3: cost 418 inf + 513 162.504 * * [simplify]: Extracting #4: cost 300 inf + 70352 162.550 * * [simplify]: Extracting #5: cost 43 inf + 275794 162.598 * * [simplify]: Extracting #6: cost 0 inf + 308716 162.635 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 162.635 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))))) 162.636 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))) 162.636 * * [simplify]: iters left: 6 (12 enodes) 162.643 * * [simplify]: iters left: 5 (49 enodes) 162.662 * * [simplify]: iters left: 4 (83 enodes) 162.689 * * [simplify]: iters left: 3 (146 enodes) 162.724 * * [simplify]: iters left: 2 (278 enodes) 162.791 * * [simplify]: Extracting #0: cost 1 inf + 0 162.791 * * [simplify]: Extracting #1: cost 6 inf + 0 162.791 * * [simplify]: Extracting #2: cost 28 inf + 0 162.792 * * [simplify]: Extracting #3: cost 93 inf + 2 162.793 * * [simplify]: Extracting #4: cost 128 inf + 597 162.795 * * [simplify]: Extracting #5: cost 110 inf + 6317 162.802 * * [simplify]: Extracting #6: cost 41 inf + 32617 162.811 * * [simplify]: Extracting #7: cost 3 inf + 50794 162.822 * * [simplify]: Extracting #8: cost 0 inf + 52561 162.832 * [simplify]: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow PI (* 1/2 k))) 162.832 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (pow PI (* 1/2 k))))) 162.832 * * * * [progress]: [ 210 / 287 ] simplifiying candidate # 162.833 * [simplify]: Simplifying (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 162.833 * * [simplify]: iters left: 6 (17 enodes) 162.842 * * [simplify]: iters left: 5 (74 enodes) 162.874 * * [simplify]: iters left: 4 (160 enodes) 162.923 * * [simplify]: iters left: 3 (420 enodes) 163.157 * * [simplify]: Extracting #0: cost 1 inf + 0 163.158 * * [simplify]: Extracting #1: cost 106 inf + 0 163.159 * * [simplify]: Extracting #2: cost 373 inf + 0 163.161 * * [simplify]: Extracting #3: cost 398 inf + 1563 163.166 * * [simplify]: Extracting #4: cost 316 inf + 51902 163.201 * * [simplify]: Extracting #5: cost 119 inf + 201537 163.249 * * [simplify]: Extracting #6: cost 4 inf + 291661 163.309 * * [simplify]: Extracting #7: cost 0 inf + 290898 163.352 * * [simplify]: Extracting #8: cost 0 inf + 290542 163.390 * [simplify]: Simplified to (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 163.390 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 163.390 * [simplify]: Simplifying (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 163.391 * * [simplify]: iters left: 6 (11 enodes) 163.395 * * [simplify]: iters left: 5 (46 enodes) 163.407 * * [simplify]: iters left: 4 (80 enodes) 163.433 * * [simplify]: iters left: 3 (140 enodes) 163.478 * * [simplify]: iters left: 2 (270 enodes) 163.564 * * [simplify]: Extracting #0: cost 1 inf + 0 163.564 * * [simplify]: Extracting #1: cost 6 inf + 0 163.564 * * [simplify]: Extracting #2: cost 27 inf + 0 163.564 * * [simplify]: Extracting #3: cost 88 inf + 2 163.565 * * [simplify]: Extracting #4: cost 120 inf + 1425 163.566 * * [simplify]: Extracting #5: cost 102 inf + 10960 163.570 * * [simplify]: Extracting #6: cost 45 inf + 29859 163.574 * * [simplify]: Extracting #7: cost 18 inf + 41872 163.580 * * [simplify]: Extracting #8: cost 1 inf + 52674 163.590 * * [simplify]: Extracting #9: cost 0 inf + 53339 163.601 * [simplify]: Simplified to (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 163.601 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 163.601 * * * * [progress]: [ 211 / 287 ] simplifiying candidate # 163.602 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 163.602 * * [simplify]: iters left: 6 (17 enodes) 163.611 * * [simplify]: iters left: 5 (71 enodes) 163.635 * * [simplify]: iters left: 4 (125 enodes) 163.662 * * [simplify]: iters left: 3 (245 enodes) 163.801 * * [simplify]: Extracting #0: cost 1 inf + 0 163.801 * * [simplify]: Extracting #1: cost 6 inf + 0 163.801 * * [simplify]: Extracting #2: cost 13 inf + 0 163.801 * * [simplify]: Extracting #3: cost 37 inf + 0 163.802 * * [simplify]: Extracting #4: cost 124 inf + 1 163.803 * * [simplify]: Extracting #5: cost 184 inf + 2141 163.807 * * [simplify]: Extracting #6: cost 95 inf + 42431 163.817 * * [simplify]: Extracting #7: cost 8 inf + 99277 163.829 * * [simplify]: Extracting #8: cost 0 inf + 102977 163.841 * * [simplify]: Extracting #9: cost 0 inf + 102646 163.853 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) 163.853 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 163.853 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 163.853 * * [simplify]: iters left: 6 (16 enodes) 163.858 * * [simplify]: iters left: 5 (66 enodes) 163.883 * * [simplify]: iters left: 4 (122 enodes) 163.926 * * [simplify]: iters left: 3 (244 enodes) 164.026 * * [simplify]: Extracting #0: cost 1 inf + 0 164.026 * * [simplify]: Extracting #1: cost 4 inf + 0 164.026 * * [simplify]: Extracting #2: cost 9 inf + 0 164.026 * * [simplify]: Extracting #3: cost 33 inf + 0 164.026 * * [simplify]: Extracting #4: cost 119 inf + 1 164.027 * * [simplify]: Extracting #5: cost 179 inf + 2725 164.031 * * [simplify]: Extracting #6: cost 96 inf + 40150 164.045 * * [simplify]: Extracting #7: cost 6 inf + 95373 164.056 * * [simplify]: Extracting #8: cost 0 inf + 99292 164.067 * * [simplify]: Extracting #9: cost 0 inf + 98255 164.092 * * [simplify]: Extracting #10: cost 0 inf + 98216 164.113 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 164.113 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 164.113 * * * * [progress]: [ 212 / 287 ] simplifiying candidate # 164.113 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 164.114 * * [simplify]: iters left: 6 (16 enodes) 164.121 * * [simplify]: iters left: 5 (66 enodes) 164.132 * * [simplify]: iters left: 4 (122 enodes) 164.161 * * [simplify]: iters left: 3 (244 enodes) 164.257 * * [simplify]: Extracting #0: cost 1 inf + 0 164.257 * * [simplify]: Extracting #1: cost 4 inf + 0 164.257 * * [simplify]: Extracting #2: cost 9 inf + 0 164.257 * * [simplify]: Extracting #3: cost 33 inf + 0 164.257 * * [simplify]: Extracting #4: cost 119 inf + 1 164.263 * * [simplify]: Extracting #5: cost 179 inf + 2725 164.270 * * [simplify]: Extracting #6: cost 96 inf + 40070 164.282 * * [simplify]: Extracting #7: cost 6 inf + 95213 164.293 * * [simplify]: Extracting #8: cost 0 inf + 99132 164.306 * * [simplify]: Extracting #9: cost 0 inf + 98095 164.323 * * [simplify]: Extracting #10: cost 0 inf + 98056 164.334 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 164.334 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 164.334 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 164.334 * * [simplify]: iters left: 6 (16 enodes) 164.339 * * [simplify]: iters left: 5 (66 enodes) 164.350 * * [simplify]: iters left: 4 (122 enodes) 164.748 * * [simplify]: iters left: 3 (244 enodes) 164.862 * * [simplify]: Extracting #0: cost 1 inf + 0 164.863 * * [simplify]: Extracting #1: cost 4 inf + 0 164.863 * * [simplify]: Extracting #2: cost 9 inf + 0 164.863 * * [simplify]: Extracting #3: cost 33 inf + 0 164.863 * * [simplify]: Extracting #4: cost 119 inf + 1 164.865 * * [simplify]: Extracting #5: cost 179 inf + 2725 164.872 * * [simplify]: Extracting #6: cost 96 inf + 40070 164.893 * * [simplify]: Extracting #7: cost 6 inf + 95213 164.916 * * [simplify]: Extracting #8: cost 0 inf + 99132 164.938 * * [simplify]: Extracting #9: cost 0 inf + 98095 164.956 * * [simplify]: Extracting #10: cost 0 inf + 98056 164.966 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 164.967 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 164.967 * * * * [progress]: [ 213 / 287 ] simplifiying candidate # 164.967 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 164.967 * * [simplify]: iters left: 6 (14 enodes) 164.971 * * [simplify]: iters left: 5 (59 enodes) 164.988 * * [simplify]: iters left: 4 (109 enodes) 165.020 * * [simplify]: iters left: 3 (209 enodes) 165.083 * * [simplify]: iters left: 2 (472 enodes) 165.281 * * [simplify]: Extracting #0: cost 1 inf + 0 165.282 * * [simplify]: Extracting #1: cost 84 inf + 0 165.283 * * [simplify]: Extracting #2: cost 293 inf + 0 165.286 * * [simplify]: Extracting #3: cost 392 inf + 3 165.291 * * [simplify]: Extracting #4: cost 377 inf + 12067 165.301 * * [simplify]: Extracting #5: cost 312 inf + 33081 165.325 * * [simplify]: Extracting #6: cost 101 inf + 197466 165.365 * * [simplify]: Extracting #7: cost 0 inf + 290469 165.432 * * [simplify]: Extracting #8: cost 0 inf + 287805 165.479 * * [simplify]: Extracting #9: cost 0 inf + 287355 165.550 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 165.550 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 165.551 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 165.551 * * [simplify]: iters left: 6 (14 enodes) 165.555 * * [simplify]: iters left: 5 (57 enodes) 165.565 * * [simplify]: iters left: 4 (97 enodes) 165.587 * * [simplify]: iters left: 3 (160 enodes) 165.635 * * [simplify]: iters left: 2 (320 enodes) 165.728 * * [simplify]: Extracting #0: cost 1 inf + 0 165.728 * * [simplify]: Extracting #1: cost 50 inf + 0 165.729 * * [simplify]: Extracting #2: cost 153 inf + 0 165.730 * * [simplify]: Extracting #3: cost 215 inf + 3 165.732 * * [simplify]: Extracting #4: cost 221 inf + 2510 165.738 * * [simplify]: Extracting #5: cost 152 inf + 22300 165.752 * * [simplify]: Extracting #6: cost 30 inf + 116681 165.768 * * [simplify]: Extracting #7: cost 0 inf + 141118 165.795 * * [simplify]: Extracting #8: cost 0 inf + 140288 165.813 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 165.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 165.813 * * * * [progress]: [ 214 / 287 ] simplifiying candidate # 165.813 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 165.813 * * [simplify]: iters left: 6 (14 enodes) 165.817 * * [simplify]: iters left: 5 (58 enodes) 165.832 * * [simplify]: iters left: 4 (98 enodes) 165.849 * * [simplify]: iters left: 3 (161 enodes) 165.896 * * [simplify]: iters left: 2 (322 enodes) 166.004 * * [simplify]: Extracting #0: cost 1 inf + 0 166.004 * * [simplify]: Extracting #1: cost 44 inf + 0 166.004 * * [simplify]: Extracting #2: cost 149 inf + 0 166.005 * * [simplify]: Extracting #3: cost 209 inf + 3 166.007 * * [simplify]: Extracting #4: cost 200 inf + 9397 166.012 * * [simplify]: Extracting #5: cost 109 inf + 47433 166.035 * * [simplify]: Extracting #6: cost 16 inf + 119214 166.061 * * [simplify]: Extracting #7: cost 0 inf + 132525 166.077 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) 166.077 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 166.077 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 166.077 * * [simplify]: iters left: 6 (14 enodes) 166.081 * * [simplify]: iters left: 5 (57 enodes) 166.096 * * [simplify]: iters left: 4 (97 enodes) 166.128 * * [simplify]: iters left: 3 (160 enodes) 166.168 * * [simplify]: iters left: 2 (320 enodes) 166.269 * * [simplify]: Extracting #0: cost 1 inf + 0 166.269 * * [simplify]: Extracting #1: cost 50 inf + 0 166.270 * * [simplify]: Extracting #2: cost 153 inf + 0 166.271 * * [simplify]: Extracting #3: cost 215 inf + 3 166.272 * * [simplify]: Extracting #4: cost 221 inf + 2550 166.275 * * [simplify]: Extracting #5: cost 152 inf + 22380 166.290 * * [simplify]: Extracting #6: cost 30 inf + 116761 166.311 * * [simplify]: Extracting #7: cost 0 inf + 141198 166.340 * * [simplify]: Extracting #8: cost 0 inf + 140368 166.356 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 166.356 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (fabs (cbrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 166.356 * * * * [progress]: [ 215 / 287 ] simplifiying candidate # 166.357 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 166.357 * * [simplify]: iters left: 6 (13 enodes) 166.361 * * [simplify]: iters left: 5 (54 enodes) 166.371 * * [simplify]: iters left: 4 (94 enodes) 166.401 * * [simplify]: iters left: 3 (157 enodes) 166.434 * * [simplify]: iters left: 2 (318 enodes) 166.544 * * [simplify]: Extracting #0: cost 1 inf + 0 166.544 * * [simplify]: Extracting #1: cost 53 inf + 0 166.545 * * [simplify]: Extracting #2: cost 152 inf + 0 166.546 * * [simplify]: Extracting #3: cost 212 inf + 3 166.548 * * [simplify]: Extracting #4: cost 209 inf + 5867 166.552 * * [simplify]: Extracting #5: cost 136 inf + 32247 166.563 * * [simplify]: Extracting #6: cost 22 inf + 117560 166.588 * * [simplify]: Extracting #7: cost 0 inf + 135627 166.605 * * [simplify]: Extracting #8: cost 0 inf + 134748 166.625 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 166.625 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 166.625 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 166.626 * * [simplify]: iters left: 6 (14 enodes) 166.633 * * [simplify]: iters left: 5 (57 enodes) 166.644 * * [simplify]: iters left: 4 (97 enodes) 166.660 * * [simplify]: iters left: 3 (160 enodes) 166.701 * * [simplify]: iters left: 2 (320 enodes) 166.805 * * [simplify]: Extracting #0: cost 1 inf + 0 166.805 * * [simplify]: Extracting #1: cost 50 inf + 0 166.805 * * [simplify]: Extracting #2: cost 153 inf + 0 166.806 * * [simplify]: Extracting #3: cost 215 inf + 3 166.807 * * [simplify]: Extracting #4: cost 221 inf + 2510 166.810 * * [simplify]: Extracting #5: cost 152 inf + 21860 166.824 * * [simplify]: Extracting #6: cost 30 inf + 114281 166.852 * * [simplify]: Extracting #7: cost 0 inf + 138118 166.868 * * [simplify]: Extracting #8: cost 0 inf + 137288 166.896 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 166.896 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 166.896 * * * * [progress]: [ 216 / 287 ] simplifiying candidate # 166.897 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 166.897 * * [simplify]: iters left: 6 (12 enodes) 166.901 * * [simplify]: iters left: 5 (51 enodes) 166.910 * * [simplify]: iters left: 4 (85 enodes) 166.930 * * [simplify]: iters left: 3 (152 enodes) 166.989 * * [simplify]: iters left: 2 (318 enodes) 167.113 * * [simplify]: Extracting #0: cost 1 inf + 0 167.114 * * [simplify]: Extracting #1: cost 51 inf + 0 167.114 * * [simplify]: Extracting #2: cost 136 inf + 1 167.115 * * [simplify]: Extracting #3: cost 186 inf + 4 167.115 * * [simplify]: Extracting #4: cost 209 inf + 12 167.117 * * [simplify]: Extracting #5: cost 180 inf + 5602 167.124 * * [simplify]: Extracting #6: cost 92 inf + 41111 167.147 * * [simplify]: Extracting #7: cost 7 inf + 98821 167.172 * * [simplify]: Extracting #8: cost 0 inf + 103419 167.197 * * [simplify]: Extracting #9: cost 0 inf + 102989 167.222 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) 167.222 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 167.223 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 167.223 * * [simplify]: iters left: 6 (13 enodes) 167.230 * * [simplify]: iters left: 5 (54 enodes) 167.248 * * [simplify]: iters left: 4 (94 enodes) 167.280 * * [simplify]: iters left: 3 (157 enodes) 167.319 * * [simplify]: iters left: 2 (318 enodes) 167.465 * * [simplify]: Extracting #0: cost 1 inf + 0 167.465 * * [simplify]: Extracting #1: cost 53 inf + 0 167.466 * * [simplify]: Extracting #2: cost 152 inf + 0 167.467 * * [simplify]: Extracting #3: cost 209 inf + 45 167.470 * * [simplify]: Extracting #4: cost 206 inf + 5505 167.474 * * [simplify]: Extracting #5: cost 122 inf + 41915 167.488 * * [simplify]: Extracting #6: cost 7 inf + 128414 167.515 * * [simplify]: Extracting #7: cost 0 inf + 132618 167.531 * * [simplify]: Extracting #8: cost 0 inf + 131739 167.557 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 167.557 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 2)) (sqrt (pow n (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 167.557 * * * * [progress]: [ 217 / 287 ] simplifiying candidate # 167.557 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 167.557 * * [simplify]: iters left: 6 (13 enodes) 167.561 * * [simplify]: iters left: 5 (54 enodes) 167.571 * * [simplify]: iters left: 4 (94 enodes) 167.590 * * [simplify]: iters left: 3 (157 enodes) 167.628 * * [simplify]: iters left: 2 (318 enodes) 167.759 * * [simplify]: Extracting #0: cost 1 inf + 0 167.759 * * [simplify]: Extracting #1: cost 53 inf + 0 167.759 * * [simplify]: Extracting #2: cost 152 inf + 0 167.760 * * [simplify]: Extracting #3: cost 212 inf + 3 167.761 * * [simplify]: Extracting #4: cost 209 inf + 5867 167.765 * * [simplify]: Extracting #5: cost 136 inf + 32247 167.782 * * [simplify]: Extracting #6: cost 22 inf + 117560 167.808 * * [simplify]: Extracting #7: cost 0 inf + 135627 167.827 * * [simplify]: Extracting #8: cost 0 inf + 134748 167.848 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 167.848 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 167.849 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 167.849 * * [simplify]: iters left: 6 (14 enodes) 167.857 * * [simplify]: iters left: 5 (57 enodes) 167.876 * * [simplify]: iters left: 4 (97 enodes) 167.906 * * [simplify]: iters left: 3 (160 enodes) 167.952 * * [simplify]: iters left: 2 (320 enodes) 168.078 * * [simplify]: Extracting #0: cost 1 inf + 0 168.078 * * [simplify]: Extracting #1: cost 50 inf + 0 168.079 * * [simplify]: Extracting #2: cost 153 inf + 0 168.080 * * [simplify]: Extracting #3: cost 215 inf + 3 168.082 * * [simplify]: Extracting #4: cost 221 inf + 2510 168.085 * * [simplify]: Extracting #5: cost 152 inf + 21860 168.096 * * [simplify]: Extracting #6: cost 30 inf + 114281 168.113 * * [simplify]: Extracting #7: cost 0 inf + 138118 168.141 * * [simplify]: Extracting #8: cost 0 inf + 137288 168.174 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 168.174 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 168.175 * * * * [progress]: [ 218 / 287 ] simplifiying candidate # 168.175 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (pow 2 (/ (- 1 k) 2)))) 168.175 * * [simplify]: iters left: 6 (11 enodes) 168.184 * * [simplify]: iters left: 5 (48 enodes) 168.201 * * [simplify]: iters left: 4 (84 enodes) 168.228 * * [simplify]: iters left: 3 (150 enodes) 168.283 * * [simplify]: iters left: 2 (298 enodes) 168.416 * * [simplify]: Extracting #0: cost 1 inf + 0 168.417 * * [simplify]: Extracting #1: cost 51 inf + 0 168.418 * * [simplify]: Extracting #2: cost 140 inf + 1 168.419 * * [simplify]: Extracting #3: cost 183 inf + 4 168.420 * * [simplify]: Extracting #4: cost 211 inf + 11 168.422 * * [simplify]: Extracting #5: cost 186 inf + 4415 168.428 * * [simplify]: Extracting #6: cost 127 inf + 22124 168.444 * * [simplify]: Extracting #7: cost 40 inf + 75833 168.470 * * [simplify]: Extracting #8: cost 2 inf + 105804 168.482 * * [simplify]: Extracting #9: cost 0 inf + 106539 168.496 * [simplify]: Simplified to (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) 168.496 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 168.496 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 168.496 * * [simplify]: iters left: 6 (13 enodes) 168.500 * * [simplify]: iters left: 5 (54 enodes) 168.509 * * [simplify]: iters left: 4 (94 enodes) 168.524 * * [simplify]: iters left: 3 (157 enodes) 168.557 * * [simplify]: iters left: 2 (318 enodes) 168.672 * * [simplify]: Extracting #0: cost 1 inf + 0 168.672 * * [simplify]: Extracting #1: cost 53 inf + 0 168.673 * * [simplify]: Extracting #2: cost 152 inf + 0 168.674 * * [simplify]: Extracting #3: cost 209 inf + 45 168.677 * * [simplify]: Extracting #4: cost 206 inf + 5505 168.685 * * [simplify]: Extracting #5: cost 122 inf + 41915 168.710 * * [simplify]: Extracting #6: cost 7 inf + 128414 168.741 * * [simplify]: Extracting #7: cost 0 inf + 132618 168.772 * * [simplify]: Extracting #8: cost 0 inf + 131739 168.808 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 168.808 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 168.808 * * * * [progress]: [ 219 / 287 ] simplifiying candidate # 168.808 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) 1) 168.808 * * [simplify]: iters left: 6 (9 enodes) 168.813 * * [simplify]: iters left: 5 (36 enodes) 168.819 * * [simplify]: iters left: 4 (62 enodes) 168.830 * * [simplify]: iters left: 3 (97 enodes) 168.852 * * [simplify]: iters left: 2 (166 enodes) 168.917 * * [simplify]: iters left: 1 (318 enodes) 169.029 * * [simplify]: Extracting #0: cost 1 inf + 0 169.029 * * [simplify]: Extracting #1: cost 5 inf + 0 169.029 * * [simplify]: Extracting #2: cost 32 inf + 1 169.029 * * [simplify]: Extracting #3: cost 108 inf + 3 169.030 * * [simplify]: Extracting #4: cost 136 inf + 9 169.031 * * [simplify]: Extracting #5: cost 129 inf + 595 169.034 * * [simplify]: Extracting #6: cost 67 inf + 10359 169.045 * * [simplify]: Extracting #7: cost 14 inf + 42228 169.060 * * [simplify]: Extracting #8: cost 0 inf + 54740 169.077 * * [simplify]: Extracting #9: cost 0 inf + 54188 169.092 * [simplify]: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 169.092 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 169.093 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 169.093 * * [simplify]: iters left: 6 (15 enodes) 169.101 * * [simplify]: iters left: 5 (65 enodes) 169.124 * * [simplify]: iters left: 4 (132 enodes) 169.157 * * [simplify]: iters left: 3 (325 enodes) 169.354 * * [simplify]: Extracting #0: cost 1 inf + 0 169.354 * * [simplify]: Extracting #1: cost 86 inf + 0 169.355 * * [simplify]: Extracting #2: cost 276 inf + 0 169.356 * * [simplify]: Extracting #3: cost 314 inf + 45 169.358 * * [simplify]: Extracting #4: cost 288 inf + 10776 169.372 * * [simplify]: Extracting #5: cost 132 inf + 116439 169.407 * * [simplify]: Extracting #6: cost 10 inf + 214174 169.436 * * [simplify]: Extracting #7: cost 0 inf + 223886 169.460 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 169.460 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) 1) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 169.461 * * * * [progress]: [ 220 / 287 ] simplifiying candidate # 169.461 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 169.461 * * [simplify]: iters left: 6 (10 enodes) 169.465 * * [simplify]: iters left: 5 (41 enodes) 169.482 * * [simplify]: iters left: 4 (67 enodes) 169.503 * * [simplify]: iters left: 3 (102 enodes) 169.531 * * [simplify]: iters left: 2 (175 enodes) 169.566 * * [simplify]: iters left: 1 (330 enodes) 169.682 * * [simplify]: Extracting #0: cost 1 inf + 0 169.682 * * [simplify]: Extracting #1: cost 4 inf + 0 169.682 * * [simplify]: Extracting #2: cost 9 inf + 0 169.682 * * [simplify]: Extracting #3: cost 35 inf + 42 169.683 * * [simplify]: Extracting #4: cost 105 inf + 85 169.683 * * [simplify]: Extracting #5: cost 128 inf + 382 169.685 * * [simplify]: Extracting #6: cost 81 inf + 8012 169.691 * * [simplify]: Extracting #7: cost 18 inf + 36566 169.706 * * [simplify]: Extracting #8: cost 0 inf + 50248 169.725 * * [simplify]: Extracting #9: cost 0 inf + 49645 169.744 * * [simplify]: Extracting #10: cost 0 inf + 49329 169.760 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) 169.761 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 169.761 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 169.761 * * [simplify]: iters left: 6 (14 enodes) 169.765 * * [simplify]: iters left: 5 (62 enodes) 169.776 * * [simplify]: iters left: 4 (125 enodes) 169.823 * * [simplify]: iters left: 3 (288 enodes) 169.989 * * [simplify]: Extracting #0: cost 1 inf + 0 169.989 * * [simplify]: Extracting #1: cost 61 inf + 0 169.990 * * [simplify]: Extracting #2: cost 200 inf + 1 169.996 * * [simplify]: Extracting #3: cost 243 inf + 4 169.997 * * [simplify]: Extracting #4: cost 251 inf + 10 170.001 * * [simplify]: Extracting #5: cost 214 inf + 8776 170.014 * * [simplify]: Extracting #6: cost 98 inf + 75128 170.040 * * [simplify]: Extracting #7: cost 6 inf + 145118 170.058 * * [simplify]: Extracting #8: cost 0 inf + 148853 170.075 * * [simplify]: Extracting #9: cost 0 inf + 147555 170.093 * [simplify]: Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))) 170.093 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (sqrt k)) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2)))))) 170.093 * * * * [progress]: [ 221 / 287 ] simplifiying candidate # 170.093 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 170.093 * * [simplify]: iters left: 6 (16 enodes) 170.103 * * [simplify]: iters left: 5 (68 enodes) 170.132 * * [simplify]: iters left: 4 (149 enodes) 170.186 * * [simplify]: iters left: 3 (378 enodes) 170.442 * * [simplify]: Extracting #0: cost 1 inf + 0 170.442 * * [simplify]: Extracting #1: cost 85 inf + 0 170.444 * * [simplify]: Extracting #2: cost 263 inf + 0 170.446 * * [simplify]: Extracting #3: cost 272 inf + 912 170.450 * * [simplify]: Extracting #4: cost 242 inf + 22071 170.468 * * [simplify]: Extracting #5: cost 146 inf + 74734 170.496 * * [simplify]: Extracting #6: cost 24 inf + 155533 170.530 * * [simplify]: Extracting #7: cost 0 inf + 173394 170.564 * * [simplify]: Extracting #8: cost 0 inf + 173151 170.598 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) 170.598 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 170.598 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 170.598 * * [simplify]: iters left: 6 (14 enodes) 170.606 * * [simplify]: iters left: 5 (60 enodes) 170.629 * * [simplify]: iters left: 4 (118 enodes) 170.662 * * [simplify]: iters left: 3 (253 enodes) 170.765 * * [simplify]: Extracting #0: cost 1 inf + 0 170.765 * * [simplify]: Extracting #1: cost 10 inf + 0 170.765 * * [simplify]: Extracting #2: cost 76 inf + 0 170.765 * * [simplify]: Extracting #3: cost 175 inf + 2 170.766 * * [simplify]: Extracting #4: cost 191 inf + 1016 170.771 * * [simplify]: Extracting #5: cost 119 inf + 29014 170.785 * * [simplify]: Extracting #6: cost 22 inf + 85278 170.804 * * [simplify]: Extracting #7: cost 0 inf + 98525 170.827 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 170.827 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (sqrt PI) (sqrt 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 170.827 * * * * [progress]: [ 222 / 287 ] simplifiying candidate # 170.828 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 170.828 * * [simplify]: iters left: 6 (16 enodes) 170.833 * * [simplify]: iters left: 5 (69 enodes) 170.848 * * [simplify]: iters left: 4 (146 enodes) 170.896 * * [simplify]: iters left: 3 (358 enodes) 171.081 * * [simplify]: Extracting #0: cost 1 inf + 0 171.081 * * [simplify]: Extracting #1: cost 84 inf + 0 171.082 * * [simplify]: Extracting #2: cost 267 inf + 0 171.083 * * [simplify]: Extracting #3: cost 293 inf + 627 171.085 * * [simplify]: Extracting #4: cost 267 inf + 11898 171.093 * * [simplify]: Extracting #5: cost 126 inf + 91222 171.133 * * [simplify]: Extracting #6: cost 8 inf + 182883 171.173 * * [simplify]: Extracting #7: cost 0 inf + 191500 171.211 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 171.212 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))))) 171.212 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow PI (/ k 2))) 171.212 * * [simplify]: iters left: 6 (12 enodes) 171.219 * * [simplify]: iters left: 5 (49 enodes) 171.234 * * [simplify]: iters left: 4 (84 enodes) 171.250 * * [simplify]: iters left: 3 (147 enodes) 171.276 * * [simplify]: iters left: 2 (279 enodes) 171.362 * * [simplify]: Extracting #0: cost 1 inf + 0 171.363 * * [simplify]: Extracting #1: cost 6 inf + 0 171.363 * * [simplify]: Extracting #2: cost 29 inf + 0 171.363 * * [simplify]: Extracting #3: cost 97 inf + 2 171.364 * * [simplify]: Extracting #4: cost 138 inf + 637 171.366 * * [simplify]: Extracting #5: cost 115 inf + 5320 171.373 * * [simplify]: Extracting #6: cost 49 inf + 30281 171.383 * * [simplify]: Extracting #7: cost 12 inf + 45617 171.395 * * [simplify]: Extracting #8: cost 0 inf + 52188 171.407 * [simplify]: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 171.407 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 171.407 * * * * [progress]: [ 223 / 287 ] simplifiying candidate # 171.408 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 171.408 * * [simplify]: iters left: 6 (16 enodes) 171.417 * * [simplify]: iters left: 5 (68 enodes) 171.439 * * [simplify]: iters left: 4 (143 enodes) 171.477 * * [simplify]: iters left: 3 (352 enodes) 171.760 * * [simplify]: Extracting #0: cost 1 inf + 0 171.760 * * [simplify]: Extracting #1: cost 84 inf + 0 171.761 * * [simplify]: Extracting #2: cost 276 inf + 0 171.762 * * [simplify]: Extracting #3: cost 307 inf + 130 171.764 * * [simplify]: Extracting #4: cost 275 inf + 11732 171.773 * * [simplify]: Extracting #5: cost 155 inf + 86998 171.800 * * [simplify]: Extracting #6: cost 26 inf + 181353 171.844 * * [simplify]: Extracting #7: cost 0 inf + 200042 171.885 * * [simplify]: Extracting #8: cost 0 inf + 200041 171.907 * [simplify]: Simplified to (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) 171.907 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 171.907 * [simplify]: Simplifying (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 171.907 * * [simplify]: iters left: 6 (11 enodes) 171.911 * * [simplify]: iters left: 5 (46 enodes) 171.920 * * [simplify]: iters left: 4 (81 enodes) 171.937 * * [simplify]: iters left: 3 (144 enodes) 171.978 * * [simplify]: iters left: 2 (276 enodes) 172.057 * * [simplify]: Extracting #0: cost 1 inf + 0 172.057 * * [simplify]: Extracting #1: cost 6 inf + 0 172.057 * * [simplify]: Extracting #2: cost 28 inf + 0 172.058 * * [simplify]: Extracting #3: cost 94 inf + 2 172.059 * * [simplify]: Extracting #4: cost 135 inf + 718 172.061 * * [simplify]: Extracting #5: cost 116 inf + 5226 172.071 * * [simplify]: Extracting #6: cost 45 inf + 28741 172.082 * * [simplify]: Extracting #7: cost 2 inf + 50461 172.093 * * [simplify]: Extracting #8: cost 0 inf + 51389 172.104 * * [simplify]: Extracting #9: cost 0 inf + 51308 172.113 * [simplify]: Simplified to (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))) 172.113 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (sqrt k) (sqrt 2))) (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow n (/ (- 1 k) 2))) (pow 2 (/ k 2))))) 172.113 * * * * [progress]: [ 224 / 287 ] simplifiying candidate # 172.113 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 172.114 * * [simplify]: iters left: 6 (14 enodes) 172.118 * * [simplify]: iters left: 5 (60 enodes) 172.129 * * [simplify]: iters left: 4 (112 enodes) 172.150 * * [simplify]: iters left: 3 (218 enodes) 172.221 * * [simplify]: Extracting #0: cost 1 inf + 0 172.221 * * [simplify]: Extracting #1: cost 6 inf + 0 172.221 * * [simplify]: Extracting #2: cost 9 inf + 1 172.221 * * [simplify]: Extracting #3: cost 18 inf + 1 172.221 * * [simplify]: Extracting #4: cost 78 inf + 1 172.221 * * [simplify]: Extracting #5: cost 169 inf + 4 172.222 * * [simplify]: Extracting #6: cost 167 inf + 1966 172.224 * * [simplify]: Extracting #7: cost 134 inf + 10926 172.228 * * [simplify]: Extracting #8: cost 63 inf + 48717 172.245 * * [simplify]: Extracting #9: cost 0 inf + 93271 172.266 * * [simplify]: Extracting #10: cost 0 inf + 90859 172.287 * * [simplify]: Extracting #11: cost 0 inf + 90764 172.307 * [simplify]: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 172.308 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 172.308 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 172.308 * * [simplify]: iters left: 6 (15 enodes) 172.316 * * [simplify]: iters left: 5 (63 enodes) 172.327 * * [simplify]: iters left: 4 (120 enodes) 172.349 * * [simplify]: iters left: 3 (251 enodes) 172.450 * * [simplify]: Extracting #0: cost 1 inf + 0 172.450 * * [simplify]: Extracting #1: cost 11 inf + 0 172.450 * * [simplify]: Extracting #2: cost 34 inf + 0 172.451 * * [simplify]: Extracting #3: cost 73 inf + 1 172.451 * * [simplify]: Extracting #4: cost 133 inf + 9 172.453 * * [simplify]: Extracting #5: cost 188 inf + 2176 172.459 * * [simplify]: Extracting #6: cost 114 inf + 30107 172.477 * * [simplify]: Extracting #7: cost 17 inf + 97537 172.500 * * [simplify]: Extracting #8: cost 0 inf + 112114 172.524 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 172.524 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow n (/ (- 1 k) 2)) (cbrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 172.524 * * * * [progress]: [ 225 / 287 ] simplifiying candidate # 172.524 * [simplify]: Simplifying (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 172.524 * * [simplify]: iters left: 6 (13 enodes) 172.532 * * [simplify]: iters left: 5 (55 enodes) 172.551 * * [simplify]: iters left: 4 (105 enodes) 172.591 * * [simplify]: iters left: 3 (211 enodes) 172.697 * * [simplify]: Extracting #0: cost 1 inf + 0 172.697 * * [simplify]: Extracting #1: cost 4 inf + 0 172.698 * * [simplify]: Extracting #2: cost 5 inf + 1 172.698 * * [simplify]: Extracting #3: cost 14 inf + 1 172.699 * * [simplify]: Extracting #4: cost 74 inf + 1 172.699 * * [simplify]: Extracting #5: cost 164 inf + 4 172.700 * * [simplify]: Extracting #6: cost 154 inf + 2923 172.702 * * [simplify]: Extracting #7: cost 109 inf + 17566 172.715 * * [simplify]: Extracting #8: cost 29 inf + 67104 172.734 * * [simplify]: Extracting #9: cost 0 inf + 89845 172.752 * * [simplify]: Extracting #10: cost 0 inf + 89683 172.772 * [simplify]: Simplified to (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 172.772 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 172.773 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 172.773 * * [simplify]: iters left: 6 (15 enodes) 172.781 * * [simplify]: iters left: 5 (63 enodes) 172.803 * * [simplify]: iters left: 4 (120 enodes) 172.849 * * [simplify]: iters left: 3 (251 enodes) 173.001 * * [simplify]: Extracting #0: cost 1 inf + 0 173.001 * * [simplify]: Extracting #1: cost 11 inf + 0 173.001 * * [simplify]: Extracting #2: cost 34 inf + 0 173.001 * * [simplify]: Extracting #3: cost 73 inf + 1 173.002 * * [simplify]: Extracting #4: cost 133 inf + 9 173.003 * * [simplify]: Extracting #5: cost 188 inf + 2176 173.009 * * [simplify]: Extracting #6: cost 114 inf + 30027 173.028 * * [simplify]: Extracting #7: cost 17 inf + 97017 173.052 * * [simplify]: Extracting #8: cost 0 inf + 111514 173.073 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))) 173.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (/ (sqrt k) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) 173.073 * * * * [progress]: [ 226 / 287 ] simplifiying candidate # 173.073 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 173.073 * * [simplify]: iters left: 6 (11 enodes) 173.077 * * [simplify]: iters left: 5 (48 enodes) 173.089 * * [simplify]: iters left: 4 (88 enodes) 173.106 * * [simplify]: iters left: 3 (175 enodes) 173.153 * * [simplify]: iters left: 2 (442 enodes) 173.392 * * [simplify]: Extracting #0: cost 1 inf + 0 173.393 * * [simplify]: Extracting #1: cost 96 inf + 0 173.394 * * [simplify]: Extracting #2: cost 271 inf + 1 173.397 * * [simplify]: Extracting #3: cost 327 inf + 4 173.400 * * [simplify]: Extracting #4: cost 314 inf + 3756 173.408 * * [simplify]: Extracting #5: cost 237 inf + 30905 173.439 * * [simplify]: Extracting #6: cost 49 inf + 156181 173.468 * * [simplify]: Extracting #7: cost 0 inf + 193693 173.498 * * [simplify]: Extracting #8: cost 0 inf + 191384 173.525 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 173.526 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 173.526 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 173.526 * * [simplify]: iters left: 6 (13 enodes) 173.530 * * [simplify]: iters left: 5 (54 enodes) 173.540 * * [simplify]: iters left: 4 (97 enodes) 173.567 * * [simplify]: iters left: 3 (190 enodes) 173.627 * * [simplify]: Extracting #0: cost 1 inf + 0 173.627 * * [simplify]: Extracting #1: cost 38 inf + 0 173.627 * * [simplify]: Extracting #2: cost 128 inf + 0 173.628 * * [simplify]: Extracting #3: cost 160 inf + 3 173.629 * * [simplify]: Extracting #4: cost 150 inf + 1134 173.630 * * [simplify]: Extracting #5: cost 103 inf + 16779 173.637 * * [simplify]: Extracting #6: cost 17 inf + 68912 173.645 * * [simplify]: Extracting #7: cost 0 inf + 79691 173.654 * * [simplify]: Extracting #8: cost 0 inf + 79273 173.671 * * [simplify]: Extracting #9: cost 0 inf + 79272 173.688 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 173.688 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 173.688 * * * * [progress]: [ 227 / 287 ] simplifiying candidate # 173.689 * [simplify]: Simplifying (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 173.689 * * [simplify]: iters left: 6 (11 enodes) 173.695 * * [simplify]: iters left: 5 (47 enodes) 173.711 * * [simplify]: iters left: 4 (77 enodes) 173.737 * * [simplify]: iters left: 3 (132 enodes) 173.779 * * [simplify]: iters left: 2 (289 enodes) 173.863 * * [simplify]: Extracting #0: cost 1 inf + 0 173.863 * * [simplify]: Extracting #1: cost 41 inf + 0 173.863 * * [simplify]: Extracting #2: cost 120 inf + 1 173.864 * * [simplify]: Extracting #3: cost 165 inf + 4 173.865 * * [simplify]: Extracting #4: cost 158 inf + 1453 173.866 * * [simplify]: Extracting #5: cost 119 inf + 8058 173.870 * * [simplify]: Extracting #6: cost 75 inf + 27110 173.878 * * [simplify]: Extracting #7: cost 15 inf + 67597 173.892 * * [simplify]: Extracting #8: cost 0 inf + 78927 173.911 * [simplify]: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (fabs (cbrt k))) 173.911 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 173.912 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 173.912 * * [simplify]: iters left: 6 (13 enodes) 173.919 * * [simplify]: iters left: 5 (54 enodes) 173.944 * * [simplify]: iters left: 4 (97 enodes) 173.976 * * [simplify]: iters left: 3 (190 enodes) 174.030 * * [simplify]: Extracting #0: cost 1 inf + 0 174.030 * * [simplify]: Extracting #1: cost 38 inf + 0 174.031 * * [simplify]: Extracting #2: cost 128 inf + 0 174.032 * * [simplify]: Extracting #3: cost 160 inf + 3 174.033 * * [simplify]: Extracting #4: cost 150 inf + 1174 174.036 * * [simplify]: Extracting #5: cost 103 inf + 16859 174.053 * * [simplify]: Extracting #6: cost 17 inf + 68992 174.070 * * [simplify]: Extracting #7: cost 0 inf + 79771 174.087 * * [simplify]: Extracting #8: cost 0 inf + 79353 174.105 * * [simplify]: Extracting #9: cost 0 inf + 79352 174.122 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 174.122 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 174.122 * * * * [progress]: [ 228 / 287 ] simplifiying candidate # 174.123 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 174.123 * * [simplify]: iters left: 6 (10 enodes) 174.129 * * [simplify]: iters left: 5 (43 enodes) 174.144 * * [simplify]: iters left: 4 (73 enodes) 174.169 * * [simplify]: iters left: 3 (125 enodes) 174.210 * * [simplify]: iters left: 2 (279 enodes) 174.325 * * [simplify]: Extracting #0: cost 1 inf + 0 174.325 * * [simplify]: Extracting #1: cost 45 inf + 0 174.325 * * [simplify]: Extracting #2: cost 125 inf + 1 174.326 * * [simplify]: Extracting #3: cost 166 inf + 4 174.326 * * [simplify]: Extracting #4: cost 162 inf + 1669 174.329 * * [simplify]: Extracting #5: cost 97 inf + 22056 174.337 * * [simplify]: Extracting #6: cost 10 inf + 68797 174.346 * * [simplify]: Extracting #7: cost 0 inf + 75147 174.361 * * [simplify]: Extracting #8: cost 0 inf + 75106 174.381 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 174.381 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 174.381 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 174.381 * * [simplify]: iters left: 6 (13 enodes) 174.389 * * [simplify]: iters left: 5 (54 enodes) 174.407 * * [simplify]: iters left: 4 (97 enodes) 174.445 * * [simplify]: iters left: 3 (190 enodes) 174.525 * * [simplify]: Extracting #0: cost 1 inf + 0 174.525 * * [simplify]: Extracting #1: cost 38 inf + 0 174.525 * * [simplify]: Extracting #2: cost 128 inf + 0 174.525 * * [simplify]: Extracting #3: cost 160 inf + 3 174.526 * * [simplify]: Extracting #4: cost 150 inf + 1094 174.528 * * [simplify]: Extracting #5: cost 103 inf + 16179 174.534 * * [simplify]: Extracting #6: cost 17 inf + 66872 174.545 * * [simplify]: Extracting #7: cost 0 inf + 77171 174.558 * * [simplify]: Extracting #8: cost 0 inf + 76753 174.575 * * [simplify]: Extracting #9: cost 0 inf + 76752 174.592 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 174.592 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 174.593 * * * * [progress]: [ 229 / 287 ] simplifiying candidate # 174.593 * [simplify]: Simplifying (/ 1 (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 174.593 * * [simplify]: iters left: 6 (9 enodes) 174.600 * * [simplify]: iters left: 5 (40 enodes) 174.616 * * [simplify]: iters left: 4 (69 enodes) 174.637 * * [simplify]: iters left: 3 (110 enodes) 174.664 * * [simplify]: iters left: 2 (203 enodes) 174.743 * * [simplify]: iters left: 1 (442 enodes) 175.137 * * [simplify]: Extracting #0: cost 1 inf + 0 175.138 * * [simplify]: Extracting #1: cost 44 inf + 0 175.139 * * [simplify]: Extracting #2: cost 178 inf + 3 175.141 * * [simplify]: Extracting #3: cost 220 inf + 7 175.143 * * [simplify]: Extracting #4: cost 194 inf + 5998 175.161 * * [simplify]: Extracting #5: cost 57 inf + 64428 175.201 * * [simplify]: Extracting #6: cost 0 inf + 97155 175.251 * * [simplify]: Extracting #7: cost 0 inf + 92519 175.311 * * [simplify]: Extracting #8: cost 0 inf + 91838 175.345 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 175.345 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 175.345 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 175.345 * * [simplify]: iters left: 6 (12 enodes) 175.349 * * [simplify]: iters left: 5 (51 enodes) 175.364 * * [simplify]: iters left: 4 (90 enodes) 175.395 * * [simplify]: iters left: 3 (181 enodes) 175.485 * * [simplify]: Extracting #0: cost 1 inf + 0 175.485 * * [simplify]: Extracting #1: cost 38 inf + 0 175.485 * * [simplify]: Extracting #2: cost 127 inf + 0 175.486 * * [simplify]: Extracting #3: cost 156 inf + 45 175.487 * * [simplify]: Extracting #4: cost 149 inf + 1928 175.492 * * [simplify]: Extracting #5: cost 91 inf + 21734 175.506 * * [simplify]: Extracting #6: cost 7 inf + 71818 175.522 * * [simplify]: Extracting #7: cost 0 inf + 75903 175.534 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 175.534 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 175.535 * * * * [progress]: [ 230 / 287 ] simplifiying candidate # 175.535 * [simplify]: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 175.535 * * [simplify]: iters left: 6 (10 enodes) 175.538 * * [simplify]: iters left: 5 (43 enodes) 175.546 * * [simplify]: iters left: 4 (73 enodes) 175.563 * * [simplify]: iters left: 3 (125 enodes) 175.612 * * [simplify]: iters left: 2 (279 enodes) 175.694 * * [simplify]: Extracting #0: cost 1 inf + 0 175.694 * * [simplify]: Extracting #1: cost 45 inf + 0 175.695 * * [simplify]: Extracting #2: cost 125 inf + 1 175.695 * * [simplify]: Extracting #3: cost 166 inf + 4 175.697 * * [simplify]: Extracting #4: cost 162 inf + 1669 175.702 * * [simplify]: Extracting #5: cost 97 inf + 22056 175.718 * * [simplify]: Extracting #6: cost 10 inf + 68797 175.737 * * [simplify]: Extracting #7: cost 0 inf + 75147 175.756 * * [simplify]: Extracting #8: cost 0 inf + 75106 175.776 * [simplify]: Simplified to (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) 175.776 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 175.776 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 175.776 * * [simplify]: iters left: 6 (13 enodes) 175.780 * * [simplify]: iters left: 5 (54 enodes) 175.790 * * [simplify]: iters left: 4 (97 enodes) 175.813 * * [simplify]: iters left: 3 (190 enodes) 175.896 * * [simplify]: Extracting #0: cost 1 inf + 0 175.896 * * [simplify]: Extracting #1: cost 38 inf + 0 175.897 * * [simplify]: Extracting #2: cost 128 inf + 0 175.898 * * [simplify]: Extracting #3: cost 160 inf + 3 175.899 * * [simplify]: Extracting #4: cost 150 inf + 1094 175.902 * * [simplify]: Extracting #5: cost 103 inf + 16179 175.914 * * [simplify]: Extracting #6: cost 17 inf + 66872 175.932 * * [simplify]: Extracting #7: cost 0 inf + 77171 175.949 * * [simplify]: Extracting #8: cost 0 inf + 76753 175.962 * * [simplify]: Extracting #9: cost 0 inf + 76752 175.971 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 175.971 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 175.971 * * * * [progress]: [ 231 / 287 ] simplifiying candidate # 175.972 * [simplify]: Simplifying (/ 1 (/ 1 (pow 2 (/ (- 1 k) 2)))) 175.972 * * [simplify]: iters left: 6 (8 enodes) 175.975 * * [simplify]: iters left: 5 (35 enodes) 175.981 * * [simplify]: iters left: 4 (59 enodes) 175.992 * * [simplify]: iters left: 3 (102 enodes) 176.025 * * [simplify]: iters left: 2 (222 enodes) 176.098 * * [simplify]: Extracting #0: cost 1 inf + 0 176.098 * * [simplify]: Extracting #1: cost 30 inf + 0 176.099 * * [simplify]: Extracting #2: cost 87 inf + 3 176.099 * * [simplify]: Extracting #3: cost 133 inf + 5 176.100 * * [simplify]: Extracting #4: cost 121 inf + 2546 176.104 * * [simplify]: Extracting #5: cost 40 inf + 28709 176.122 * * [simplify]: Extracting #6: cost 1 inf + 49482 176.132 * * [simplify]: Extracting #7: cost 0 inf + 48772 176.140 * * [simplify]: Extracting #8: cost 0 inf + 48692 176.148 * [simplify]: Simplified to (pow 2 (/ (- 1 k) 2)) 176.148 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 176.148 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 176.148 * * [simplify]: iters left: 6 (12 enodes) 176.152 * * [simplify]: iters left: 5 (51 enodes) 176.161 * * [simplify]: iters left: 4 (90 enodes) 176.177 * * [simplify]: iters left: 3 (181 enodes) 176.242 * * [simplify]: Extracting #0: cost 1 inf + 0 176.243 * * [simplify]: Extracting #1: cost 38 inf + 0 176.243 * * [simplify]: Extracting #2: cost 127 inf + 0 176.244 * * [simplify]: Extracting #3: cost 156 inf + 45 176.245 * * [simplify]: Extracting #4: cost 149 inf + 1928 176.250 * * [simplify]: Extracting #5: cost 91 inf + 21734 176.264 * * [simplify]: Extracting #6: cost 7 inf + 71818 176.280 * * [simplify]: Extracting #7: cost 0 inf + 75903 176.297 * [simplify]: Simplified to (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 176.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (/ (- 1 k) 2)) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))))) 176.297 * * * * [progress]: [ 232 / 287 ] simplifiying candidate # 176.297 * [simplify]: Simplifying (/ 1 1) 176.297 * * [simplify]: iters left: 2 (2 enodes) 176.299 * * [simplify]: iters left: 1 (6 enodes) 176.301 * * [simplify]: Extracting #0: cost 1 inf + 0 176.301 * * [simplify]: Extracting #1: cost 0 inf + 1 176.301 * [simplify]: Simplified to 1 176.301 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 176.302 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 176.302 * * [simplify]: iters left: 6 (14 enodes) 176.310 * * [simplify]: iters left: 5 (62 enodes) 176.332 * * [simplify]: iters left: 4 (132 enodes) 176.375 * * [simplify]: iters left: 3 (362 enodes) 176.611 * * [simplify]: Extracting #0: cost 1 inf + 0 176.611 * * [simplify]: Extracting #1: cost 106 inf + 0 176.614 * * [simplify]: Extracting #2: cost 407 inf + 0 176.617 * * [simplify]: Extracting #3: cost 444 inf + 87 176.627 * * [simplify]: Extracting #4: cost 344 inf + 49038 176.671 * * [simplify]: Extracting #5: cost 92 inf + 239473 176.749 * * [simplify]: Extracting #6: cost 2 inf + 321091 176.795 * * [simplify]: Extracting #7: cost 0 inf + 321622 176.841 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 176.841 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 176.841 * * * * [progress]: [ 233 / 287 ] simplifiying candidate # 176.842 * [simplify]: Simplifying (/ 1 (sqrt k)) 176.842 * * [simplify]: iters left: 3 (4 enodes) 176.844 * * [simplify]: iters left: 2 (14 enodes) 176.847 * * [simplify]: iters left: 1 (16 enodes) 176.849 * * [simplify]: Extracting #0: cost 1 inf + 0 176.849 * * [simplify]: Extracting #1: cost 4 inf + 0 176.849 * * [simplify]: Extracting #2: cost 5 inf + 1 176.849 * * [simplify]: Extracting #3: cost 3 inf + 43 176.849 * * [simplify]: Extracting #4: cost 1 inf + 166 176.850 * * [simplify]: Extracting #5: cost 0 inf + 248 176.850 * [simplify]: Simplified to (/ 1 (sqrt k)) 176.850 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 176.850 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 176.850 * * [simplify]: iters left: 6 (13 enodes) 176.854 * * [simplify]: iters left: 5 (59 enodes) 176.866 * * [simplify]: iters left: 4 (125 enodes) 176.897 * * [simplify]: iters left: 3 (331 enodes) 177.137 * * [simplify]: Extracting #0: cost 1 inf + 0 177.138 * * [simplify]: Extracting #1: cost 102 inf + 0 177.140 * * [simplify]: Extracting #2: cost 347 inf + 1 177.143 * * [simplify]: Extracting #3: cost 387 inf + 5 177.146 * * [simplify]: Extracting #4: cost 388 inf + 10 177.154 * * [simplify]: Extracting #5: cost 286 inf + 47305 177.187 * * [simplify]: Extracting #6: cost 88 inf + 185653 177.229 * * [simplify]: Extracting #7: cost 2 inf + 252359 177.271 * * [simplify]: Extracting #8: cost 0 inf + 253873 177.308 * [simplify]: Simplified to (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))) 177.308 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))) 177.309 * * * * [progress]: [ 234 / 287 ] simplifiying candidate # 177.309 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 177.309 * * [simplify]: iters left: 6 (11 enodes) 177.313 * * [simplify]: iters left: 5 (47 enodes) 177.330 * * [simplify]: iters left: 4 (113 enodes) 177.382 * * [simplify]: iters left: 3 (313 enodes) 177.545 * * [simplify]: Extracting #0: cost 1 inf + 0 177.545 * * [simplify]: Extracting #1: cost 76 inf + 0 177.546 * * [simplify]: Extracting #2: cost 219 inf + 1 177.547 * * [simplify]: Extracting #3: cost 204 inf + 2402 177.550 * * [simplify]: Extracting #4: cost 129 inf + 30601 177.557 * * [simplify]: Extracting #5: cost 23 inf + 84221 177.565 * * [simplify]: Extracting #6: cost 0 inf + 96511 177.574 * * [simplify]: Extracting #7: cost 0 inf + 96311 177.583 * [simplify]: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) 177.583 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 177.584 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 177.584 * * [simplify]: iters left: 6 (13 enodes) 177.591 * * [simplify]: iters left: 5 (57 enodes) 177.614 * * [simplify]: iters left: 4 (121 enodes) 177.641 * * [simplify]: iters left: 3 (370 enodes) 177.928 * * [simplify]: Extracting #0: cost 1 inf + 0 177.928 * * [simplify]: Extracting #1: cost 140 inf + 0 177.930 * * [simplify]: Extracting #2: cost 458 inf + 0 177.932 * * [simplify]: Extracting #3: cost 511 inf + 4 177.941 * * [simplify]: Extracting #4: cost 453 inf + 19095 177.955 * * [simplify]: Extracting #5: cost 227 inf + 180768 178.005 * * [simplify]: Extracting #6: cost 5 inf + 373893 178.063 * * [simplify]: Extracting #7: cost 0 inf + 374836 178.129 * * [simplify]: Extracting #8: cost 0 inf + 374671 178.186 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 178.186 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt 2)) (/ (pow n (/ (- 1 k) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 178.186 * * * * [progress]: [ 235 / 287 ] simplifiying candidate # 178.186 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 178.186 * * [simplify]: iters left: 6 (13 enodes) 178.194 * * [simplify]: iters left: 5 (57 enodes) 178.215 * * [simplify]: iters left: 4 (123 enodes) 178.274 * * [simplify]: iters left: 3 (328 enodes) 178.519 * * [simplify]: Extracting #0: cost 1 inf + 0 178.519 * * [simplify]: Extracting #1: cost 80 inf + 0 178.521 * * [simplify]: Extracting #2: cost 241 inf + 1 178.523 * * [simplify]: Extracting #3: cost 257 inf + 507 178.528 * * [simplify]: Extracting #4: cost 209 inf + 17274 178.547 * * [simplify]: Extracting #5: cost 72 inf + 90402 178.578 * * [simplify]: Extracting #6: cost 3 inf + 137207 178.614 * * [simplify]: Extracting #7: cost 0 inf + 137940 178.638 * * [simplify]: Extracting #8: cost 0 inf + 137462 178.653 * [simplify]: Simplified to (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) 178.653 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 178.654 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 178.654 * * [simplify]: iters left: 6 (11 enodes) 178.658 * * [simplify]: iters left: 5 (46 enodes) 178.666 * * [simplify]: iters left: 4 (84 enodes) 178.695 * * [simplify]: iters left: 3 (172 enodes) 178.761 * * [simplify]: iters left: 2 (485 enodes) 179.081 * * [simplify]: Extracting #0: cost 1 inf + 0 179.081 * * [simplify]: Extracting #1: cost 156 inf + 0 179.083 * * [simplify]: Extracting #2: cost 511 inf + 0 179.085 * * [simplify]: Extracting #3: cost 624 inf + 4 179.088 * * [simplify]: Extracting #4: cost 609 inf + 2808 179.100 * * [simplify]: Extracting #5: cost 414 inf + 109800 179.161 * * [simplify]: Extracting #6: cost 65 inf + 391561 179.219 * * [simplify]: Extracting #7: cost 0 inf + 436045 179.294 * * [simplify]: Extracting #8: cost 0 inf + 432504 179.404 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))) 179.404 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (pow 2 (/ (- 1 k) 2)) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow PI (/ k 2))))) 179.404 * * * * [progress]: [ 236 / 287 ] simplifiying candidate # 179.404 * [simplify]: Simplifying (/ 1 (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 179.404 * * [simplify]: iters left: 6 (13 enodes) 179.413 * * [simplify]: iters left: 5 (58 enodes) 179.430 * * [simplify]: iters left: 4 (129 enodes) 179.476 * * [simplify]: iters left: 3 (330 enodes) 179.642 * * [simplify]: Extracting #0: cost 1 inf + 0 179.642 * * [simplify]: Extracting #1: cost 77 inf + 0 179.643 * * [simplify]: Extracting #2: cost 226 inf + 1 179.644 * * [simplify]: Extracting #3: cost 240 inf + 547 179.646 * * [simplify]: Extracting #4: cost 218 inf + 7581 179.651 * * [simplify]: Extracting #5: cost 107 inf + 58685 179.668 * * [simplify]: Extracting #6: cost 8 inf + 117957 179.689 * * [simplify]: Extracting #7: cost 0 inf + 122805 179.707 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) 179.707 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 179.707 * [simplify]: Simplifying (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 179.707 * * [simplify]: iters left: 6 (10 enodes) 179.710 * * [simplify]: iters left: 5 (43 enodes) 179.718 * * [simplify]: iters left: 4 (81 enodes) 179.738 * * [simplify]: iters left: 3 (166 enodes) 179.787 * * [simplify]: iters left: 2 (477 enodes) 180.127 * * [simplify]: Extracting #0: cost 1 inf + 0 180.128 * * [simplify]: Extracting #1: cost 153 inf + 0 180.130 * * [simplify]: Extracting #2: cost 517 inf + 0 180.132 * * [simplify]: Extracting #3: cost 626 inf + 4 180.135 * * [simplify]: Extracting #4: cost 598 inf + 5199 180.142 * * [simplify]: Extracting #5: cost 484 inf + 53085 180.182 * * [simplify]: Extracting #6: cost 132 inf + 351519 180.261 * * [simplify]: Extracting #7: cost 0 inf + 466752 180.333 * * [simplify]: Extracting #8: cost 0 inf + 461459 180.399 * * [simplify]: Extracting #9: cost 0 inf + 461418 180.461 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))) 180.461 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- 1 k) 2)) (/ (sqrt 2) (sqrt k))) (/ (pow n (/ (- 1 k) 2)) (pow 2 (/ k 2))))) 180.462 * * * * [progress]: [ 237 / 287 ] simplifiying candidate # 180.462 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 180.462 * * [simplify]: iters left: 6 (17 enodes) 180.472 * * [simplify]: iters left: 5 (74 enodes) 180.487 * * [simplify]: iters left: 4 (138 enodes) 180.520 * * [simplify]: iters left: 3 (294 enodes) 180.663 * * [simplify]: Extracting #0: cost 1 inf + 0 180.663 * * [simplify]: Extracting #1: cost 23 inf + 0 180.664 * * [simplify]: Extracting #2: cost 57 inf + 0 180.664 * * [simplify]: Extracting #3: cost 105 inf + 1 180.665 * * [simplify]: Extracting #4: cost 175 inf + 10 180.668 * * [simplify]: Extracting #5: cost 202 inf + 13113 180.682 * * [simplify]: Extracting #6: cost 79 inf + 80744 180.709 * * [simplify]: Extracting #7: cost 5 inf + 135217 180.729 * * [simplify]: Extracting #8: cost 0 inf + 138981 180.745 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 180.745 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (* (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 180.745 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 180.745 * * [simplify]: iters left: 6 (16 enodes) 180.750 * * [simplify]: iters left: 5 (69 enodes) 180.766 * * [simplify]: iters left: 4 (130 enodes) 180.800 * * [simplify]: iters left: 3 (277 enodes) 180.915 * * [simplify]: Extracting #0: cost 1 inf + 0 180.915 * * [simplify]: Extracting #1: cost 11 inf + 0 180.915 * * [simplify]: Extracting #2: cost 34 inf + 0 180.916 * * [simplify]: Extracting #3: cost 83 inf + 1 180.917 * * [simplify]: Extracting #4: cost 155 inf + 10 180.919 * * [simplify]: Extracting #5: cost 205 inf + 2561 180.925 * * [simplify]: Extracting #6: cost 124 inf + 31453 180.942 * * [simplify]: Extracting #7: cost 33 inf + 89664 180.963 * * [simplify]: Extracting #8: cost 0 inf + 113514 180.978 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 180.978 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (/ (pow n (/ (- 1 k) 4)) (cbrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 180.978 * * * * [progress]: [ 238 / 287 ] simplifiying candidate # 180.979 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 180.979 * * [simplify]: iters left: 6 (16 enodes) 180.988 * * [simplify]: iters left: 5 (69 enodes) 181.004 * * [simplify]: iters left: 4 (130 enodes) 181.037 * * [simplify]: iters left: 3 (277 enodes) 181.167 * * [simplify]: Extracting #0: cost 1 inf + 0 181.167 * * [simplify]: Extracting #1: cost 11 inf + 0 181.167 * * [simplify]: Extracting #2: cost 34 inf + 0 181.167 * * [simplify]: Extracting #3: cost 83 inf + 1 181.168 * * [simplify]: Extracting #4: cost 155 inf + 10 181.169 * * [simplify]: Extracting #5: cost 205 inf + 2561 181.172 * * [simplify]: Extracting #6: cost 124 inf + 31333 181.192 * * [simplify]: Extracting #7: cost 33 inf + 89184 181.215 * * [simplify]: Extracting #8: cost 0 inf + 112914 181.239 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 181.240 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))))) 181.240 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 181.240 * * [simplify]: iters left: 6 (16 enodes) 181.249 * * [simplify]: iters left: 5 (69 enodes) 181.273 * * [simplify]: iters left: 4 (130 enodes) 181.301 * * [simplify]: iters left: 3 (277 enodes) 181.435 * * [simplify]: Extracting #0: cost 1 inf + 0 181.435 * * [simplify]: Extracting #1: cost 11 inf + 0 181.435 * * [simplify]: Extracting #2: cost 34 inf + 0 181.435 * * [simplify]: Extracting #3: cost 83 inf + 1 181.436 * * [simplify]: Extracting #4: cost 155 inf + 10 181.436 * * [simplify]: Extracting #5: cost 205 inf + 2561 181.440 * * [simplify]: Extracting #6: cost 124 inf + 31333 181.449 * * [simplify]: Extracting #7: cost 33 inf + 89184 181.466 * * [simplify]: Extracting #8: cost 0 inf + 112914 181.490 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 181.490 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (/ (pow n (/ (- 1 k) 4)) (sqrt (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))))) 181.490 * * * * [progress]: [ 239 / 287 ] simplifiying candidate # 181.491 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) 181.491 * * [simplify]: iters left: 6 (14 enodes) 181.499 * * [simplify]: iters left: 5 (62 enodes) 181.516 * * [simplify]: iters left: 4 (121 enodes) 181.543 * * [simplify]: iters left: 3 (305 enodes) 181.696 * * [simplify]: Extracting #0: cost 1 inf + 0 181.696 * * [simplify]: Extracting #1: cost 73 inf + 0 181.697 * * [simplify]: Extracting #2: cost 237 inf + 0 181.699 * * [simplify]: Extracting #3: cost 294 inf + 3 181.704 * * [simplify]: Extracting #4: cost 247 inf + 16602 181.727 * * [simplify]: Extracting #5: cost 83 inf + 113762 181.767 * * [simplify]: Extracting #6: cost 2 inf + 171283 181.786 * * [simplify]: Extracting #7: cost 0 inf + 169756 181.810 * * [simplify]: Extracting #8: cost 0 inf + 169516 181.848 * [simplify]: Simplified to (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) 181.848 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow 2 (/ (- 1 k) 2)) (/ (cbrt (sqrt k)) (pow n (/ (- 1 k) 4)))) (cbrt (sqrt k))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 181.849 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 181.849 * * [simplify]: iters left: 6 (14 enodes) 181.857 * * [simplify]: iters left: 5 (60 enodes) 181.878 * * [simplify]: iters left: 4 (107 enodes) 181.910 * * [simplify]: iters left: 3 (216 enodes) 181.985 * * [simplify]: Extracting #0: cost 1 inf + 0 181.985 * * [simplify]: Extracting #1: cost 38 inf + 0 181.986 * * [simplify]: Extracting #2: cost 131 inf + 0 181.987 * * [simplify]: Extracting #3: cost 178 inf + 3 181.988 * * [simplify]: Extracting #4: cost 169 inf + 1428 181.996 * * [simplify]: Extracting #5: cost 104 inf + 17148 182.010 * * [simplify]: Extracting #6: cost 29 inf + 62759 182.030 * * [simplify]: Extracting #7: cost 0 inf + 84184 182.049 * * [simplify]: Extracting #8: cost 0 inf + 83161 182.069 * * [simplify]: Extracting #9: cost 0 inf + 82988 182.088 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 182.088 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (cbrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 182.089 * * * * [progress]: [ 240 / 287 ] simplifiying candidate # 182.089 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) 182.089 * * [simplify]: iters left: 6 (14 enodes) 182.098 * * [simplify]: iters left: 5 (61 enodes) 182.119 * * [simplify]: iters left: 4 (108 enodes) 182.160 * * [simplify]: iters left: 3 (220 enodes) 182.232 * * [simplify]: Extracting #0: cost 1 inf + 0 182.232 * * [simplify]: Extracting #1: cost 38 inf + 0 182.233 * * [simplify]: Extracting #2: cost 132 inf + 0 182.234 * * [simplify]: Extracting #3: cost 180 inf + 3 182.236 * * [simplify]: Extracting #4: cost 166 inf + 2294 182.242 * * [simplify]: Extracting #5: cost 91 inf + 28903 182.258 * * [simplify]: Extracting #6: cost 9 inf + 77183 182.280 * * [simplify]: Extracting #7: cost 0 inf + 82898 182.299 * * [simplify]: Extracting #8: cost 0 inf + 82859 182.317 * [simplify]: Simplified to (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) 182.317 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow 2 (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (fabs (cbrt k))) (pow 2 (/ (- 1 k) 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))))) 182.318 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2)))) 182.318 * * [simplify]: iters left: 6 (14 enodes) 182.326 * * [simplify]: iters left: 5 (60 enodes) 182.347 * * [simplify]: iters left: 4 (107 enodes) 182.377 * * [simplify]: iters left: 3 (216 enodes) 182.438 * * [simplify]: Extracting #0: cost 1 inf + 0 182.439 * * [simplify]: Extracting #1: cost 38 inf + 0 182.439 * * [simplify]: Extracting #2: cost 131 inf + 0 182.439 * * [simplify]: Extracting #3: cost 178 inf + 3 182.440 * * [simplify]: Extracting #4: cost 169 inf + 1468 182.442 * * [simplify]: Extracting #5: cost 104 inf + 17228 182.451 * * [simplify]: Extracting #6: cost 29 inf + 62839 182.462 * * [simplify]: Extracting #7: cost 0 inf + 84264 182.472 * * [simplify]: Extracting #8: cost 0 inf + 83241 182.482 * * [simplify]: Extracting #9: cost 0 inf + 83068 182.505 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))) 182.506 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (cbrt k)) (pow PI (- 1/4 (/ k 4))))))) 182.506 * * * * [progress]: [ 241 / 287 ] simplifiying candidate # 182.506 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 182.506 * * [simplify]: iters left: 6 (13 enodes) 182.514 * * [simplify]: iters left: 5 (57 enodes) 182.534 * * [simplify]: iters left: 4 (104 enodes) 182.557 * * [simplify]: iters left: 3 (213 enodes) 182.617 * * [simplify]: Extracting #0: cost 1 inf + 0 182.617 * * [simplify]: Extracting #1: cost 38 inf + 0 182.618 * * [simplify]: Extracting #2: cost 131 inf + 0 182.619 * * [simplify]: Extracting #3: cost 176 inf + 3 182.621 * * [simplify]: Extracting #4: cost 163 inf + 1423 182.625 * * [simplify]: Extracting #5: cost 104 inf + 16721 182.638 * * [simplify]: Extracting #6: cost 26 inf + 63498 182.657 * * [simplify]: Extracting #7: cost 0 inf + 81426 182.676 * * [simplify]: Extracting #8: cost 0 inf + 80617 182.695 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 182.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 182.696 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 182.696 * * [simplify]: iters left: 6 (14 enodes) 182.705 * * [simplify]: iters left: 5 (60 enodes) 182.725 * * [simplify]: iters left: 4 (107 enodes) 182.750 * * [simplify]: iters left: 3 (216 enodes) 182.828 * * [simplify]: Extracting #0: cost 1 inf + 0 182.828 * * [simplify]: Extracting #1: cost 38 inf + 0 182.829 * * [simplify]: Extracting #2: cost 131 inf + 0 182.830 * * [simplify]: Extracting #3: cost 178 inf + 3 182.832 * * [simplify]: Extracting #4: cost 169 inf + 1428 182.836 * * [simplify]: Extracting #5: cost 104 inf + 16668 182.850 * * [simplify]: Extracting #6: cost 29 inf + 60839 182.873 * * [simplify]: Extracting #7: cost 0 inf + 81664 182.892 * * [simplify]: Extracting #8: cost 0 inf + 80641 182.903 * * [simplify]: Extracting #9: cost 0 inf + 80468 182.913 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 182.913 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 182.913 * * * * [progress]: [ 242 / 287 ] simplifiying candidate # 182.913 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) 182.913 * * [simplify]: iters left: 6 (12 enodes) 182.918 * * [simplify]: iters left: 5 (54 enodes) 182.933 * * [simplify]: iters left: 4 (93 enodes) 182.957 * * [simplify]: iters left: 3 (186 enodes) 183.023 * * [simplify]: Extracting #0: cost 1 inf + 0 183.023 * * [simplify]: Extracting #1: cost 42 inf + 0 183.023 * * [simplify]: Extracting #2: cost 120 inf + 1 183.024 * * [simplify]: Extracting #3: cost 154 inf + 4 183.024 * * [simplify]: Extracting #4: cost 158 inf + 11 183.025 * * [simplify]: Extracting #5: cost 148 inf + 1180 183.027 * * [simplify]: Extracting #6: cost 98 inf + 11757 183.031 * * [simplify]: Extracting #7: cost 30 inf + 46707 183.039 * * [simplify]: Extracting #8: cost 0 inf + 67471 183.055 * * [simplify]: Extracting #9: cost 0 inf + 67097 183.070 * [simplify]: Simplified to (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) 183.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (pow 2 (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (pow 2 (- 1/4 (/ k 4)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 183.070 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 183.071 * * [simplify]: iters left: 6 (13 enodes) 183.079 * * [simplify]: iters left: 5 (57 enodes) 183.102 * * [simplify]: iters left: 4 (104 enodes) 183.136 * * [simplify]: iters left: 3 (213 enodes) 183.198 * * [simplify]: Extracting #0: cost 1 inf + 0 183.199 * * [simplify]: Extracting #1: cost 38 inf + 0 183.199 * * [simplify]: Extracting #2: cost 131 inf + 0 183.199 * * [simplify]: Extracting #3: cost 173 inf + 45 183.200 * * [simplify]: Extracting #4: cost 158 inf + 1631 183.202 * * [simplify]: Extracting #5: cost 108 inf + 14792 183.210 * * [simplify]: Extracting #6: cost 24 inf + 61856 183.227 * * [simplify]: Extracting #7: cost 0 inf + 77902 183.243 * * [simplify]: Extracting #8: cost 0 inf + 77558 183.252 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 183.252 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 183.252 * * * * [progress]: [ 243 / 287 ] simplifiying candidate # 183.252 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 183.252 * * [simplify]: iters left: 6 (13 enodes) 183.256 * * [simplify]: iters left: 5 (57 enodes) 183.267 * * [simplify]: iters left: 4 (104 enodes) 183.296 * * [simplify]: iters left: 3 (213 enodes) 183.395 * * [simplify]: Extracting #0: cost 1 inf + 0 183.395 * * [simplify]: Extracting #1: cost 38 inf + 0 183.396 * * [simplify]: Extracting #2: cost 131 inf + 0 183.397 * * [simplify]: Extracting #3: cost 176 inf + 3 183.398 * * [simplify]: Extracting #4: cost 163 inf + 1423 183.403 * * [simplify]: Extracting #5: cost 104 inf + 16721 183.416 * * [simplify]: Extracting #6: cost 26 inf + 63498 183.426 * * [simplify]: Extracting #7: cost 0 inf + 81426 183.440 * * [simplify]: Extracting #8: cost 0 inf + 80617 183.458 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) 183.459 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))))) 183.459 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2)))) 183.459 * * [simplify]: iters left: 6 (14 enodes) 183.468 * * [simplify]: iters left: 5 (60 enodes) 183.489 * * [simplify]: iters left: 4 (107 enodes) 183.526 * * [simplify]: iters left: 3 (216 enodes) 183.606 * * [simplify]: Extracting #0: cost 1 inf + 0 183.606 * * [simplify]: Extracting #1: cost 38 inf + 0 183.607 * * [simplify]: Extracting #2: cost 131 inf + 0 183.607 * * [simplify]: Extracting #3: cost 178 inf + 3 183.608 * * [simplify]: Extracting #4: cost 169 inf + 1428 183.611 * * [simplify]: Extracting #5: cost 104 inf + 16668 183.617 * * [simplify]: Extracting #6: cost 29 inf + 60839 183.627 * * [simplify]: Extracting #7: cost 0 inf + 81664 183.637 * * [simplify]: Extracting #8: cost 0 inf + 80641 183.646 * * [simplify]: Extracting #9: cost 0 inf + 80468 183.656 * [simplify]: Simplified to (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))) 183.657 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (* (pow PI (- 1/4 (/ k 4))) (pow n (- 1/4 (/ k 4)))) (/ (sqrt (sqrt k)) (pow PI (- 1/4 (/ k 4))))))) 183.657 * * * * [progress]: [ 244 / 287 ] simplifiying candidate # 183.657 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) 183.657 * * [simplify]: iters left: 6 (11 enodes) 183.664 * * [simplify]: iters left: 5 (51 enodes) 183.674 * * [simplify]: iters left: 4 (94 enodes) 183.692 * * [simplify]: iters left: 3 (200 enodes) 183.758 * * [simplify]: Extracting #0: cost 1 inf + 0 183.758 * * [simplify]: Extracting #1: cost 41 inf + 0 183.758 * * [simplify]: Extracting #2: cost 123 inf + 1 183.759 * * [simplify]: Extracting #3: cost 158 inf + 4 183.759 * * [simplify]: Extracting #4: cost 163 inf + 11 183.760 * * [simplify]: Extracting #5: cost 145 inf + 2384 183.763 * * [simplify]: Extracting #6: cost 78 inf + 23174 183.774 * * [simplify]: Extracting #7: cost 9 inf + 62122 183.792 * * [simplify]: Extracting #8: cost 0 inf + 68132 183.809 * * [simplify]: Extracting #9: cost 0 inf + 68012 183.826 * * [simplify]: Extracting #10: cost 0 inf + 67972 183.843 * [simplify]: Simplified to (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) 183.843 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 4)) (pow 2 (/ (- 1 k) 2))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))) 183.844 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))) 183.844 * * [simplify]: iters left: 6 (13 enodes) 183.852 * * [simplify]: iters left: 5 (57 enodes) 183.872 * * [simplify]: iters left: 4 (104 enodes) 183.912 * * [simplify]: iters left: 3 (213 enodes) 183.980 * * [simplify]: Extracting #0: cost 1 inf + 0 183.981 * * [simplify]: Extracting #1: cost 38 inf + 0 183.981 * * [simplify]: Extracting #2: cost 131 inf + 0 183.982 * * [simplify]: Extracting #3: cost 173 inf + 45 183.984 * * [simplify]: Extracting #4: cost 158 inf + 1631 183.988 * * [simplify]: Extracting #5: cost 108 inf + 14792 183.995 * * [simplify]: Extracting #6: cost 24 inf + 61856 184.007 * * [simplify]: Extracting #7: cost 0 inf + 77902 184.015 * * [simplify]: Extracting #8: cost 0 inf + 77558 184.030 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))) 184.030 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 4)) (* (/ (pow n (/ (- 1 k) 4)) (sqrt k)) (pow PI (/ (- 1 k) 4)))))) 184.031 * * * * [progress]: [ 245 / 287 ] simplifiying candidate # 184.031 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) 184.031 * * [simplify]: iters left: 6 (9 enodes) 184.037 * * [simplify]: iters left: 5 (39 enodes) 184.052 * * [simplify]: iters left: 4 (69 enodes) 184.076 * * [simplify]: iters left: 3 (119 enodes) 184.106 * * [simplify]: iters left: 2 (226 enodes) 184.193 * * [simplify]: Extracting #0: cost 1 inf + 0 184.193 * * [simplify]: Extracting #1: cost 33 inf + 0 184.193 * * [simplify]: Extracting #2: cost 95 inf + 3 184.194 * * [simplify]: Extracting #3: cost 138 inf + 8 184.196 * * [simplify]: Extracting #4: cost 124 inf + 1971 184.202 * * [simplify]: Extracting #5: cost 41 inf + 24462 184.213 * * [simplify]: Extracting #6: cost 2 inf + 44267 184.224 * * [simplify]: Extracting #7: cost 0 inf + 44911 184.235 * [simplify]: Simplified to (pow n (/ (- 1 k) 4)) 184.235 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 4)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 184.236 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 184.236 * * [simplify]: iters left: 6 (15 enodes) 184.245 * * [simplify]: iters left: 5 (68 enodes) 184.274 * * [simplify]: iters left: 4 (142 enodes) 184.334 * * [simplify]: iters left: 3 (389 enodes) 184.572 * * [simplify]: Extracting #0: cost 1 inf + 0 184.573 * * [simplify]: Extracting #1: cost 106 inf + 0 184.575 * * [simplify]: Extracting #2: cost 411 inf + 0 184.579 * * [simplify]: Extracting #3: cost 465 inf + 87 184.586 * * [simplify]: Extracting #4: cost 410 inf + 20639 184.602 * * [simplify]: Extracting #5: cost 209 inf + 146932 184.638 * * [simplify]: Extracting #6: cost 11 inf + 309258 184.708 * * [simplify]: Extracting #7: cost 0 inf + 319743 184.778 * * [simplify]: Extracting #8: cost 0 inf + 319703 184.850 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 184.850 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) 1) (/ (pow n (/ (- 1 k) 4)) (/ (sqrt k) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))))) 184.850 * * * * [progress]: [ 246 / 287 ] simplifiying candidate # 184.850 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) 184.851 * * [simplify]: iters left: 6 (10 enodes) 184.857 * * [simplify]: iters left: 5 (44 enodes) 184.873 * * [simplify]: iters left: 4 (74 enodes) 184.898 * * [simplify]: iters left: 3 (124 enodes) 184.944 * * [simplify]: iters left: 2 (228 enodes) 185.008 * * [simplify]: iters left: 1 (473 enodes) 185.234 * * [simplify]: Extracting #0: cost 1 inf + 0 185.235 * * [simplify]: Extracting #1: cost 43 inf + 0 185.235 * * [simplify]: Extracting #2: cost 133 inf + 0 185.237 * * [simplify]: Extracting #3: cost 208 inf + 46 185.239 * * [simplify]: Extracting #4: cost 208 inf + 1342 185.246 * * [simplify]: Extracting #5: cost 130 inf + 20054 185.269 * * [simplify]: Extracting #6: cost 13 inf + 97262 185.285 * * [simplify]: Extracting #7: cost 0 inf + 103968 185.299 * [simplify]: Simplified to (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) 185.299 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/4 (/ k 4))) (sqrt k)) (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) 185.300 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 185.300 * * [simplify]: iters left: 6 (14 enodes) 185.306 * * [simplify]: iters left: 5 (65 enodes) 185.329 * * [simplify]: iters left: 4 (132 enodes) 185.371 * * [simplify]: iters left: 3 (355 enodes) 185.611 * * [simplify]: Extracting #0: cost 1 inf + 0 185.612 * * [simplify]: Extracting #1: cost 100 inf + 0 185.614 * * [simplify]: Extracting #2: cost 339 inf + 1 185.617 * * [simplify]: Extracting #3: cost 392 inf + 5 185.620 * * [simplify]: Extracting #4: cost 396 inf + 12 185.628 * * [simplify]: Extracting #5: cost 320 inf + 30605 185.658 * * [simplify]: Extracting #6: cost 112 inf + 163634 185.716 * * [simplify]: Extracting #7: cost 1 inf + 249678 185.754 * * [simplify]: Extracting #8: cost 0 inf + 250091 185.784 * [simplify]: Simplified to (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4))))) 185.784 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (sqrt k)) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (* (* (pow PI (- 1/4 (/ k 4))) (pow 2 (- 1/4 (/ k 4)))) (pow n (- 1/4 (/ k 4))))))) 185.784 * * * * [progress]: [ 247 / 287 ] simplifiying candidate # 185.785 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) 185.785 * * [simplify]: iters left: 6 (16 enodes) 185.795 * * [simplify]: iters left: 5 (71 enodes) 185.817 * * [simplify]: iters left: 4 (155 enodes) 185.872 * * [simplify]: iters left: 3 (428 enodes) 186.255 * * [simplify]: Extracting #0: cost 1 inf + 0 186.256 * * [simplify]: Extracting #1: cost 107 inf + 0 186.258 * * [simplify]: Extracting #2: cost 411 inf + 0 186.262 * * [simplify]: Extracting #3: cost 439 inf + 2175 186.273 * * [simplify]: Extracting #4: cost 348 inf + 48071 186.299 * * [simplify]: Extracting #5: cost 86 inf + 208045 186.332 * * [simplify]: Extracting #6: cost 0 inf + 262104 186.371 * * [simplify]: Extracting #7: cost 0 inf + 258692 186.405 * * [simplify]: Extracting #8: cost 0 inf + 258532 186.456 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) 186.456 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) 186.456 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) 186.456 * * [simplify]: iters left: 6 (14 enodes) 186.461 * * [simplify]: iters left: 5 (63 enodes) 186.473 * * [simplify]: iters left: 4 (133 enodes) 186.523 * * [simplify]: iters left: 3 (386 enodes) 186.860 * * [simplify]: Extracting #0: cost 1 inf + 0 186.860 * * [simplify]: Extracting #1: cost 148 inf + 0 186.862 * * [simplify]: Extracting #2: cost 465 inf + 0 186.866 * * [simplify]: Extracting #3: cost 520 inf + 4 186.877 * * [simplify]: Extracting #4: cost 415 inf + 61655 186.918 * * [simplify]: Extracting #5: cost 83 inf + 315835 186.997 * * [simplify]: Extracting #6: cost 3 inf + 374116 187.050 * * [simplify]: Extracting #7: cost 0 inf + 374506 187.111 * * [simplify]: Extracting #8: cost 0 inf + 374505 187.171 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))) 187.171 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (sqrt PI))) (/ (pow n (/ (- 1 k) 4)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) 187.171 * * * * [progress]: [ 248 / 287 ] simplifiying candidate # 187.171 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) 187.172 * * [simplify]: iters left: 6 (16 enodes) 187.177 * * [simplify]: iters left: 5 (72 enodes) 187.192 * * [simplify]: iters left: 4 (153 enodes) 187.235 * * [simplify]: iters left: 3 (413 enodes) 187.481 * * [simplify]: Extracting #0: cost 1 inf + 0 187.481 * * [simplify]: Extracting #1: cost 101 inf + 0 187.482 * * [simplify]: Extracting #2: cost 386 inf + 0 187.484 * * [simplify]: Extracting #3: cost 424 inf + 1304 187.489 * * [simplify]: Extracting #4: cost 347 inf + 36703 187.507 * * [simplify]: Extracting #5: cost 123 inf + 175664 187.562 * * [simplify]: Extracting #6: cost 8 inf + 263407 187.591 * * [simplify]: Extracting #7: cost 0 inf + 266883 187.633 * * [simplify]: Extracting #8: cost 0 inf + 266762 187.674 * [simplify]: Simplified to (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) 187.674 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow PI (/ k 2))))) 187.674 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow PI (/ k 2))) 187.674 * * [simplify]: iters left: 6 (12 enodes) 187.678 * * [simplify]: iters left: 5 (52 enodes) 187.687 * * [simplify]: iters left: 4 (90 enodes) 187.708 * * [simplify]: iters left: 3 (183 enodes) 187.795 * * [simplify]: Extracting #0: cost 1 inf + 0 187.796 * * [simplify]: Extracting #1: cost 39 inf + 0 187.796 * * [simplify]: Extracting #2: cost 117 inf + 0 187.797 * * [simplify]: Extracting #3: cost 161 inf + 3 187.798 * * [simplify]: Extracting #4: cost 150 inf + 1806 187.802 * * [simplify]: Extracting #5: cost 83 inf + 17733 187.808 * * [simplify]: Extracting #6: cost 19 inf + 58767 187.816 * * [simplify]: Extracting #7: cost 0 inf + 70381 187.824 * * [simplify]: Extracting #8: cost 0 inf + 70341 187.832 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow PI (/ k 2))) 187.832 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (/ (sqrt k) (sqrt PI)) (pow 2 (/ (- 1 k) 2)))) (/ (pow n (/ (- 1 k) 4)) (pow PI (/ k 2))))) 187.833 * * * * [progress]: [ 249 / 287 ] simplifiying candidate # 187.833 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) 187.833 * * [simplify]: iters left: 6 (16 enodes) 187.838 * * [simplify]: iters left: 5 (71 enodes) 187.854 * * [simplify]: iters left: 4 (150 enodes) 187.924 * * [simplify]: iters left: 3 (406 enodes) 188.163 * * [simplify]: Extracting #0: cost 1 inf + 0 188.163 * * [simplify]: Extracting #1: cost 105 inf + 0 188.165 * * [simplify]: Extracting #2: cost 407 inf + 0 188.167 * * [simplify]: Extracting #3: cost 448 inf + 506 188.174 * * [simplify]: Extracting #4: cost 334 inf + 58155 188.225 * * [simplify]: Extracting #5: cost 64 inf + 236642 188.287 * * [simplify]: Extracting #6: cost 4 inf + 276308 188.349 * * [simplify]: Extracting #7: cost 0 inf + 279043 188.411 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) 188.411 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow n (/ (- 1 k) 4)) (/ (/ (sqrt k) (sqrt 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow 2 (/ k 2))))) 188.412 * [simplify]: Simplifying (/ (pow n (/ (/ (- 1 k) 2) 2)) (pow 2 (/ k 2))) 188.412 * * [simplify]: iters left: 6 (11 enodes) 188.419 * * [simplify]: iters left: 5 (49 enodes) 188.436 * * [simplify]: iters left: 4 (89 enodes) 188.467 * * [simplify]: iters left: 3 (182 enodes) 188.531 * * [simplify]: Extracting #0: cost 1 inf + 0 188.531 * * [simplify]: Extracting #1: cost 39 inf + 0 188.532 * * [simplify]: Extracting #2: cost 117 inf + 0 188.533 * * [simplify]: Extracting #3: cost 160 inf + 3 188.534 * * [simplify]: Extracting #4: cost 154 inf + 1475 188.539 * * [simplify]: Extracting #5: cost 85 inf + 19783 188.550 * * [simplify]: Extracting #6: cost 9 inf + 66962 188.565 * * [simplify]: Extracting #7: cost 0 inf + 72211 188.582 * * [simplify]: Extracting #8: cost 0 inf + 71534 188.598 * [simplify]: Simplified to (/ (pow n (/ (- 1 k) 4)) (pow 2 (/ k 2))) 188.598 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ (- 1 k) 4)) (pow 2 (/ k 2))))) 188.598 * * * * [progress]: [ 250 / 287 ] simplifiying candidate # 188.598 * * * * [progress]: [ 251 / 287 ] simplifiying candidate # 188.599 * * * * [progress]: [ 252 / 287 ] simplifiying candidate # 188.599 * * * * [progress]: [ 253 / 287 ] simplifiying candidate # 188.599 * [simplify]: Simplifying (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 188.599 * * [simplify]: iters left: 6 (12 enodes) 188.606 * * [simplify]: iters left: 5 (52 enodes) 188.624 * * [simplify]: iters left: 4 (98 enodes) 188.666 * * [simplify]: iters left: 3 (209 enodes) 188.769 * * [simplify]: Extracting #0: cost 1 inf + 0 188.769 * * [simplify]: Extracting #1: cost 3 inf + 0 188.769 * * [simplify]: Extracting #2: cost 12 inf + 0 188.769 * * [simplify]: Extracting #3: cost 70 inf + 0 188.770 * * [simplify]: Extracting #4: cost 162 inf + 44 188.772 * * [simplify]: Extracting #5: cost 162 inf + 2131 188.776 * * [simplify]: Extracting #6: cost 123 inf + 12116 188.786 * * [simplify]: Extracting #7: cost 50 inf + 52363 188.805 * * [simplify]: Extracting #8: cost 0 inf + 88062 188.820 * * [simplify]: Extracting #9: cost 0 inf + 87104 188.830 * [simplify]: Simplified to (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 188.831 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (* (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (cbrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 188.831 * * * * [progress]: [ 254 / 287 ] simplifiying candidate # 188.831 * [simplify]: Simplifying (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) 188.831 * * [simplify]: iters left: 6 (12 enodes) 188.835 * * [simplify]: iters left: 5 (52 enodes) 188.849 * * [simplify]: iters left: 4 (98 enodes) 188.890 * * [simplify]: iters left: 3 (209 enodes) 188.990 * * [simplify]: Extracting #0: cost 1 inf + 0 188.990 * * [simplify]: Extracting #1: cost 3 inf + 0 188.990 * * [simplify]: Extracting #2: cost 12 inf + 0 188.990 * * [simplify]: Extracting #3: cost 70 inf + 0 188.990 * * [simplify]: Extracting #4: cost 162 inf + 44 188.991 * * [simplify]: Extracting #5: cost 162 inf + 2131 188.993 * * [simplify]: Extracting #6: cost 123 inf + 12036 188.998 * * [simplify]: Extracting #7: cost 50 inf + 52283 189.008 * * [simplify]: Extracting #8: cost 0 inf + 87982 189.018 * * [simplify]: Extracting #9: cost 0 inf + 87024 189.034 * [simplify]: Simplified to (sqrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 189.034 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (sqrt (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 189.034 * * * * [progress]: [ 255 / 287 ] simplifiying candidate # 189.034 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 189.034 * * [simplify]: iters left: 6 (10 enodes) 189.038 * * [simplify]: iters left: 5 (41 enodes) 189.046 * * [simplify]: iters left: 4 (64 enodes) 189.057 * * [simplify]: iters left: 3 (104 enodes) 189.087 * * [simplify]: iters left: 2 (198 enodes) 189.133 * * [simplify]: iters left: 1 (377 enodes) 189.268 * * [simplify]: Extracting #0: cost 1 inf + 0 189.268 * * [simplify]: Extracting #1: cost 6 inf + 0 189.268 * * [simplify]: Extracting #2: cost 39 inf + 0 189.269 * * [simplify]: Extracting #3: cost 126 inf + 2 189.270 * * [simplify]: Extracting #4: cost 186 inf + 376 189.273 * * [simplify]: Extracting #5: cost 156 inf + 5774 189.281 * * [simplify]: Extracting #6: cost 69 inf + 27838 189.296 * * [simplify]: Extracting #7: cost 11 inf + 62693 189.314 * * [simplify]: Extracting #8: cost 0 inf + 68967 189.330 * * [simplify]: Extracting #9: cost 0 inf + 68242 189.340 * * [simplify]: Extracting #10: cost 0 inf + 67990 189.349 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 189.349 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 189.349 * * * * [progress]: [ 256 / 287 ] simplifiying candidate # 189.349 * [simplify]: Simplifying (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 189.349 * * [simplify]: iters left: 6 (10 enodes) 189.353 * * [simplify]: iters left: 5 (41 enodes) 189.364 * * [simplify]: iters left: 4 (64 enodes) 189.385 * * [simplify]: iters left: 3 (104 enodes) 189.423 * * [simplify]: iters left: 2 (198 enodes) 189.471 * * [simplify]: iters left: 1 (377 enodes) 189.622 * * [simplify]: Extracting #0: cost 1 inf + 0 189.622 * * [simplify]: Extracting #1: cost 6 inf + 0 189.622 * * [simplify]: Extracting #2: cost 39 inf + 0 189.623 * * [simplify]: Extracting #3: cost 126 inf + 2 189.623 * * [simplify]: Extracting #4: cost 186 inf + 456 189.625 * * [simplify]: Extracting #5: cost 156 inf + 5854 189.629 * * [simplify]: Extracting #6: cost 69 inf + 27918 189.643 * * [simplify]: Extracting #7: cost 11 inf + 62773 189.661 * * [simplify]: Extracting #8: cost 0 inf + 69047 189.674 * * [simplify]: Extracting #9: cost 0 inf + 68322 189.686 * * [simplify]: Extracting #10: cost 0 inf + 68070 189.698 * [simplify]: Simplified to (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))) 189.698 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow PI (/ (- 1 k) 2))))) 189.698 * * * * [progress]: [ 257 / 287 ] simplifiying candidate # 189.698 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 189.699 * * [simplify]: iters left: 6 (10 enodes) 189.704 * * [simplify]: iters left: 5 (41 enodes) 189.719 * * [simplify]: iters left: 4 (64 enodes) 189.740 * * [simplify]: iters left: 3 (104 enodes) 189.762 * * [simplify]: iters left: 2 (198 enodes) 189.822 * * [simplify]: iters left: 1 (377 enodes) 189.960 * * [simplify]: Extracting #0: cost 1 inf + 0 189.960 * * [simplify]: Extracting #1: cost 6 inf + 0 189.960 * * [simplify]: Extracting #2: cost 39 inf + 0 189.961 * * [simplify]: Extracting #3: cost 126 inf + 2 189.962 * * [simplify]: Extracting #4: cost 186 inf + 296 189.965 * * [simplify]: Extracting #5: cost 156 inf + 5614 189.973 * * [simplify]: Extracting #6: cost 69 inf + 27398 189.988 * * [simplify]: Extracting #7: cost 11 inf + 61853 190.012 * * [simplify]: Extracting #8: cost 0 inf + 68047 190.026 * * [simplify]: Extracting #9: cost 0 inf + 67322 190.036 * * [simplify]: Extracting #10: cost 0 inf + 67070 190.045 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 190.045 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 190.045 * * * * [progress]: [ 258 / 287 ] simplifiying candidate # 190.046 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 190.046 * * [simplify]: iters left: 6 (9 enodes) 190.049 * * [simplify]: iters left: 5 (38 enodes) 190.056 * * [simplify]: iters left: 4 (61 enodes) 190.074 * * [simplify]: iters left: 3 (101 enodes) 190.105 * * [simplify]: iters left: 2 (195 enodes) 190.157 * * [simplify]: iters left: 1 (362 enodes) 190.315 * * [simplify]: Extracting #0: cost 1 inf + 0 190.315 * * [simplify]: Extracting #1: cost 6 inf + 0 190.315 * * [simplify]: Extracting #2: cost 39 inf + 0 190.720 * * [simplify]: Extracting #3: cost 117 inf + 44 190.721 * * [simplify]: Extracting #4: cost 171 inf + 135 190.723 * * [simplify]: Extracting #5: cost 142 inf + 3046 190.730 * * [simplify]: Extracting #6: cost 72 inf + 16109 190.742 * * [simplify]: Extracting #7: cost 17 inf + 48084 190.759 * * [simplify]: Extracting #8: cost 0 inf + 62866 190.768 * * [simplify]: Extracting #9: cost 0 inf + 62600 190.777 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 190.777 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt 1) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2))))) 190.777 * * * * [progress]: [ 259 / 287 ] simplifiying candidate # 190.777 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 190.777 * * [simplify]: iters left: 6 (10 enodes) 190.781 * * [simplify]: iters left: 5 (41 enodes) 190.793 * * [simplify]: iters left: 4 (64 enodes) 190.815 * * [simplify]: iters left: 3 (104 enodes) 190.856 * * [simplify]: iters left: 2 (198 enodes) 190.921 * * [simplify]: iters left: 1 (377 enodes) 191.044 * * [simplify]: Extracting #0: cost 1 inf + 0 191.044 * * [simplify]: Extracting #1: cost 6 inf + 0 191.044 * * [simplify]: Extracting #2: cost 39 inf + 0 191.045 * * [simplify]: Extracting #3: cost 126 inf + 2 191.046 * * [simplify]: Extracting #4: cost 186 inf + 296 191.049 * * [simplify]: Extracting #5: cost 156 inf + 5614 191.057 * * [simplify]: Extracting #6: cost 69 inf + 27398 191.073 * * [simplify]: Extracting #7: cost 11 inf + 61853 191.083 * * [simplify]: Extracting #8: cost 0 inf + 68047 191.092 * * [simplify]: Extracting #9: cost 0 inf + 67322 191.101 * * [simplify]: Extracting #10: cost 0 inf + 67070 191.119 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))) 191.119 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- 1 k) 2))))) 191.119 * * * * [progress]: [ 260 / 287 ] simplifiying candidate # 191.119 * [simplify]: Simplifying (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 191.119 * * [simplify]: iters left: 6 (9 enodes) 191.122 * * [simplify]: iters left: 5 (38 enodes) 191.129 * * [simplify]: iters left: 4 (61 enodes) 191.143 * * [simplify]: iters left: 3 (101 enodes) 191.177 * * [simplify]: iters left: 2 (195 enodes) 191.248 * * [simplify]: iters left: 1 (362 enodes) 191.366 * * [simplify]: Extracting #0: cost 1 inf + 0 191.366 * * [simplify]: Extracting #1: cost 6 inf + 0 191.366 * * [simplify]: Extracting #2: cost 39 inf + 0 191.367 * * [simplify]: Extracting #3: cost 117 inf + 44 191.367 * * [simplify]: Extracting #4: cost 171 inf + 135 191.369 * * [simplify]: Extracting #5: cost 142 inf + 3046 191.371 * * [simplify]: Extracting #6: cost 72 inf + 16109 191.381 * * [simplify]: Extracting #7: cost 17 inf + 48084 191.399 * * [simplify]: Extracting #8: cost 0 inf + 62866 191.417 * * [simplify]: Extracting #9: cost 0 inf + 62600 191.435 * [simplify]: Simplified to (/ (sqrt k) (pow PI (/ (- 1 k) 2))) 191.435 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ 1 (pow 2 (/ (- 1 k) 2)))) (/ (sqrt k) (pow PI (/ (- 1 k) 2))))) 191.435 * * * * [progress]: [ 261 / 287 ] simplifiying candidate # 191.436 * [simplify]: Simplifying (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 191.436 * * [simplify]: iters left: 6 (11 enodes) 191.442 * * [simplify]: iters left: 5 (49 enodes) 191.464 * * [simplify]: iters left: 4 (99 enodes) 191.484 * * [simplify]: iters left: 3 (209 enodes) 191.598 * * [simplify]: Extracting #0: cost 1 inf + 0 191.598 * * [simplify]: Extracting #1: cost 10 inf + 0 191.598 * * [simplify]: Extracting #2: cost 69 inf + 0 191.599 * * [simplify]: Extracting #3: cost 160 inf + 44 191.601 * * [simplify]: Extracting #4: cost 157 inf + 1962 191.604 * * [simplify]: Extracting #5: cost 115 inf + 14082 191.618 * * [simplify]: Extracting #6: cost 31 inf + 69124 191.639 * * [simplify]: Extracting #7: cost 0 inf + 89492 191.659 * * [simplify]: Extracting #8: cost 0 inf + 88693 191.679 * [simplify]: Simplified to (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 191.679 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) 1) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 191.679 * * * * [progress]: [ 262 / 287 ] simplifiying candidate # 191.679 * [simplify]: Simplifying (/ 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 191.679 * * [simplify]: iters left: 6 (10 enodes) 191.686 * * [simplify]: iters left: 5 (46 enodes) 191.703 * * [simplify]: iters left: 4 (96 enodes) 191.742 * * [simplify]: iters left: 3 (206 enodes) 191.818 * * [simplify]: Extracting #0: cost 1 inf + 0 191.818 * * [simplify]: Extracting #1: cost 10 inf + 0 191.818 * * [simplify]: Extracting #2: cost 67 inf + 1 191.818 * * [simplify]: Extracting #3: cost 159 inf + 3 191.819 * * [simplify]: Extracting #4: cost 169 inf + 7 191.820 * * [simplify]: Extracting #5: cost 156 inf + 2344 191.822 * * [simplify]: Extracting #6: cost 105 inf + 18792 191.830 * * [simplify]: Extracting #7: cost 26 inf + 67510 191.848 * * [simplify]: Extracting #8: cost 0 inf + 84451 191.861 * * [simplify]: Extracting #9: cost 0 inf + 84286 191.870 * [simplify]: Simplified to (/ 1 (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) 191.870 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (/ 1 (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))))) 191.870 * * * * [progress]: [ 263 / 287 ] simplifiying candidate # 191.870 * [simplify]: Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 191.870 * * [simplify]: iters left: 5 (7 enodes) 191.872 * * [simplify]: iters left: 4 (27 enodes) 191.877 * * [simplify]: iters left: 3 (56 enodes) 191.889 * * [simplify]: iters left: 2 (144 enodes) 191.986 * * [simplify]: Extracting #0: cost 1 inf + 0 191.986 * * [simplify]: Extracting #1: cost 27 inf + 0 191.987 * * [simplify]: Extracting #2: cost 107 inf + 0 191.988 * * [simplify]: Extracting #3: cost 124 inf + 3 191.989 * * [simplify]: Extracting #4: cost 114 inf + 2145 191.991 * * [simplify]: Extracting #5: cost 83 inf + 10231 191.997 * * [simplify]: Extracting #6: cost 29 inf + 39117 192.008 * * [simplify]: Extracting #7: cost 2 inf + 58279 192.017 * * [simplify]: Extracting #8: cost 0 inf + 59617 192.024 * [simplify]: Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2))) 192.024 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) 192.025 * * * * [progress]: [ 264 / 287 ] simplifiying candidate # 192.025 * [simplify]: Simplifying (pow PI (/ k 2)) 192.025 * * [simplify]: iters left: 3 (5 enodes) 192.027 * * [simplify]: iters left: 2 (18 enodes) 192.030 * * [simplify]: iters left: 1 (30 enodes) 192.035 * * [simplify]: Extracting #0: cost 1 inf + 0 192.036 * * [simplify]: Extracting #1: cost 10 inf + 0 192.036 * * [simplify]: Extracting #2: cost 23 inf + 1 192.036 * * [simplify]: Extracting #3: cost 23 inf + 46 192.036 * * [simplify]: Extracting #4: cost 11 inf + 1346 192.036 * * [simplify]: Extracting #5: cost 1 inf + 3938 192.037 * * [simplify]: Extracting #6: cost 0 inf + 4111 192.037 * * [simplify]: Extracting #7: cost 0 inf + 4070 192.038 * [simplify]: Simplified to (pow PI (/ k 2)) 192.038 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))) (pow PI (/ k 2)))) 192.038 * * * * [progress]: [ 265 / 287 ] simplifiying candidate # 192.038 * [simplify]: Simplifying (pow 2 (/ k 2)) 192.038 * * [simplify]: iters left: 3 (4 enodes) 192.039 * * [simplify]: iters left: 2 (15 enodes) 192.042 * * [simplify]: iters left: 1 (27 enodes) 192.048 * * [simplify]: Extracting #0: cost 1 inf + 0 192.048 * * [simplify]: Extracting #1: cost 10 inf + 0 192.048 * * [simplify]: Extracting #2: cost 22 inf + 1 192.048 * * [simplify]: Extracting #3: cost 23 inf + 45 192.049 * * [simplify]: Extracting #4: cost 9 inf + 1889 192.050 * * [simplify]: Extracting #5: cost 1 inf + 3931 192.050 * * [simplify]: Extracting #6: cost 0 inf + 4105 192.051 * * [simplify]: Extracting #7: cost 0 inf + 4065 192.052 * [simplify]: Simplified to (pow 2 (/ k 2)) 192.052 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))) (pow 2 (/ k 2)))) 192.052 * * * * [progress]: [ 266 / 287 ] simplifiying candidate # 192.053 * [simplify]: Simplifying (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 192.053 * * [simplify]: iters left: 5 (9 enodes) 192.058 * * [simplify]: iters left: 4 (38 enodes) 192.072 * * [simplify]: iters left: 3 (63 enodes) 192.085 * * [simplify]: iters left: 2 (98 enodes) 192.101 * * [simplify]: iters left: 1 (167 enodes) 192.152 * * [simplify]: Extracting #0: cost 1 inf + 0 192.152 * * [simplify]: Extracting #1: cost 13 inf + 0 192.152 * * [simplify]: Extracting #2: cost 54 inf + 1 192.152 * * [simplify]: Extracting #3: cost 87 inf + 5 192.153 * * [simplify]: Extracting #4: cost 68 inf + 1334 192.154 * * [simplify]: Extracting #5: cost 40 inf + 5047 192.156 * * [simplify]: Extracting #6: cost 11 inf + 17686 192.159 * * [simplify]: Extracting #7: cost 0 inf + 25802 192.163 * [simplify]: Simplified to (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) 192.163 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt n) (cbrt n)) (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (cbrt n) (/ (- 1 k) 2))))) 192.163 * * * * [progress]: [ 267 / 287 ] simplifiying candidate # 192.163 * [simplify]: Simplifying (pow (sqrt n) (/ (- 1 k) 2)) 192.163 * * [simplify]: iters left: 5 (8 enodes) 192.166 * * [simplify]: iters left: 4 (35 enodes) 192.174 * * [simplify]: iters left: 3 (56 enodes) 192.184 * * [simplify]: iters left: 2 (89 enodes) 192.203 * * [simplify]: iters left: 1 (175 enodes) 192.269 * * [simplify]: Extracting #0: cost 1 inf + 0 192.270 * * [simplify]: Extracting #1: cost 13 inf + 0 192.270 * * [simplify]: Extracting #2: cost 53 inf + 1 192.270 * * [simplify]: Extracting #3: cost 83 inf + 47 192.271 * * [simplify]: Extracting #4: cost 66 inf + 2084 192.274 * * [simplify]: Extracting #5: cost 25 inf + 7926 192.279 * * [simplify]: Extracting #6: cost 3 inf + 20905 192.285 * * [simplify]: Extracting #7: cost 0 inf + 22641 192.291 * * [simplify]: Extracting #8: cost 0 inf + 22420 192.297 * [simplify]: Simplified to (pow (sqrt n) (/ (- 1 k) 2)) 192.298 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt n) (/ (- 1 k) 2)) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (sqrt n) (/ (- 1 k) 2))))) 192.298 * * * * [progress]: [ 268 / 287 ] simplifiying candidate # 192.298 * [simplify]: Simplifying (pow 1 (/ (- 1 k) 2)) 192.298 * * [simplify]: iters left: 5 (6 enodes) 192.302 * * [simplify]: iters left: 4 (24 enodes) 192.310 * * [simplify]: iters left: 3 (33 enodes) 192.320 * * [simplify]: Extracting #0: cost 1 inf + 0 192.320 * * [simplify]: Extracting #1: cost 0 inf + 1 192.320 * [simplify]: Simplified to 1 192.320 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))) 192.320 * * * * [progress]: [ 269 / 287 ] simplifiying candidate # 192.321 * [simplify]: Simplifying (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) 192.321 * * [simplify]: iters left: 6 (9 enodes) 192.327 * * [simplify]: iters left: 5 (38 enodes) 192.340 * * [simplify]: iters left: 4 (63 enodes) 192.361 * * [simplify]: iters left: 3 (98 enodes) 192.398 * * [simplify]: iters left: 2 (167 enodes) 192.462 * * [simplify]: iters left: 1 (317 enodes) 192.601 * * [simplify]: Extracting #0: cost 1 inf + 0 192.601 * * [simplify]: Extracting #1: cost 3 inf + 0 192.601 * * [simplify]: Extracting #2: cost 5 inf + 0 192.601 * * [simplify]: Extracting #3: cost 30 inf + 0 192.602 * * [simplify]: Extracting #4: cost 100 inf + 2 192.602 * * [simplify]: Extracting #5: cost 139 inf + 8 192.603 * * [simplify]: Extracting #6: cost 127 inf + 1426 192.605 * * [simplify]: Extracting #7: cost 61 inf + 14370 192.612 * * [simplify]: Extracting #8: cost 3 inf + 52971 192.620 * * [simplify]: Extracting #9: cost 0 inf + 54607 192.634 * [simplify]: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 192.634 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2)))))) 192.635 * * * * [progress]: [ 270 / 287 ] simplifiying candidate # 192.635 * [simplify]: Simplifying (sqrt (pow n (/ (- 1 k) 2))) 192.635 * * [simplify]: iters left: 6 (8 enodes) 192.640 * * [simplify]: iters left: 5 (35 enodes) 192.653 * * [simplify]: iters left: 4 (57 enodes) 192.671 * * [simplify]: iters left: 3 (90 enodes) 192.706 * * [simplify]: iters left: 2 (176 enodes) 192.777 * * [simplify]: iters left: 1 (337 enodes) 192.885 * * [simplify]: Extracting #0: cost 1 inf + 0 192.885 * * [simplify]: Extracting #1: cost 4 inf + 0 192.885 * * [simplify]: Extracting #2: cost 32 inf + 0 192.885 * * [simplify]: Extracting #3: cost 112 inf + 2 192.886 * * [simplify]: Extracting #4: cost 140 inf + 9 192.886 * * [simplify]: Extracting #5: cost 140 inf + 138 192.889 * * [simplify]: Extracting #6: cost 89 inf + 7770 192.895 * * [simplify]: Extracting #7: cost 47 inf + 18849 192.909 * * [simplify]: Extracting #8: cost 7 inf + 47750 192.918 * * [simplify]: Extracting #9: cost 0 inf + 52260 192.929 * * [simplify]: Extracting #10: cost 0 inf + 52048 192.938 * [simplify]: Simplified to (sqrt (pow n (/ (- 1 k) 2))) 192.938 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow n (/ (- 1 k) 2))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (pow n (/ (- 1 k) 2)))))) 192.938 * * * * [progress]: [ 271 / 287 ] simplifiying candidate # 192.938 * * * * [progress]: [ 272 / 287 ] simplifiying candidate # 192.938 * [simplify]: Simplifying (pow n (/ (/ (- 1 k) 2) 2)) 192.939 * * [simplify]: iters left: 6 (8 enodes) 192.944 * * [simplify]: iters left: 5 (38 enodes) 192.953 * * [simplify]: iters left: 4 (66 enodes) 192.965 * * [simplify]: iters left: 3 (110 enodes) 192.988 * * [simplify]: iters left: 2 (200 enodes) 193.066 * * [simplify]: iters left: 1 (403 enodes) 193.268 * * [simplify]: Extracting #0: cost 1 inf + 0 193.268 * * [simplify]: Extracting #1: cost 26 inf + 0 193.268 * * [simplify]: Extracting #2: cost 100 inf + 2 193.269 * * [simplify]: Extracting #3: cost 164 inf + 10 193.271 * * [simplify]: Extracting #4: cost 157 inf + 1472 193.278 * * [simplify]: Extracting #5: cost 64 inf + 19273 193.292 * * [simplify]: Extracting #6: cost 8 inf + 47461 193.308 * * [simplify]: Extracting #7: cost 0 inf + 52807 193.325 * [simplify]: Simplified to (pow n (- 1/4 (/ k 4))) 193.325 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/4 (/ k 4))) (/ (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (/ (- 1 k) 2) 2))))) 193.325 * * * * [progress]: [ 273 / 287 ] simplifiying candidate # 193.325 * [simplify]: Simplifying (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) 193.325 * * [simplify]: iters left: 6 (9 enodes) 193.331 * * [simplify]: iters left: 5 (41 enodes) 193.345 * * [simplify]: iters left: 4 (83 enodes) 193.362 * * [simplify]: iters left: 3 (177 enodes) 193.450 * * [simplify]: Extracting #0: cost 1 inf + 0 193.450 * * [simplify]: Extracting #1: cost 27 inf + 0 193.450 * * [simplify]: Extracting #2: cost 108 inf + 0 193.451 * * [simplify]: Extracting #3: cost 131 inf + 3 193.451 * * [simplify]: Extracting #4: cost 134 inf + 9 193.452 * * [simplify]: Extracting #5: cost 125 inf + 1556 193.453 * * [simplify]: Extracting #6: cost 83 inf + 13591 193.459 * * [simplify]: Extracting #7: cost 16 inf + 57624 193.472 * * [simplify]: Extracting #8: cost 0 inf + 68751 193.492 * * [simplify]: Extracting #9: cost 0 inf + 68345 193.509 * [simplify]: Simplified to (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) 193.509 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt k)) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))))) 193.509 * * * * [progress]: [ 274 / 287 ] simplifiying candidate # 193.510 * [simplify]: Simplifying (pow n (/ 1 2)) 193.510 * * [simplify]: iters left: 3 (5 enodes) 193.514 * * [simplify]: iters left: 2 (22 enodes) 193.524 * * [simplify]: iters left: 1 (42 enodes) 193.541 * * [simplify]: Extracting #0: cost 1 inf + 0 193.541 * * [simplify]: Extracting #1: cost 9 inf + 0 193.542 * * [simplify]: Extracting #2: cost 12 inf + 2 193.542 * * [simplify]: Extracting #3: cost 7 inf + 510 193.542 * * [simplify]: Extracting #4: cost 1 inf + 2073 193.542 * * [simplify]: Extracting #5: cost 0 inf + 2325 193.543 * [simplify]: Simplified to (sqrt n) 193.543 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt n) (* (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ k 2))))) 193.543 * * * * [progress]: [ 275 / 287 ] simplifiying candidate #real (real->posit16 (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))))> 193.543 * * * * [progress]: [ 276 / 287 ] simplifiying candidate # 193.543 * [simplify]: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 193.544 * * [simplify]: iters left: 6 (18 enodes) 193.553 * * [simplify]: iters left: 5 (83 enodes) 193.571 * * [simplify]: iters left: 4 (209 enodes) 193.649 * * [simplify]: Extracting #0: cost 1 inf + 0 193.649 * * [simplify]: Extracting #1: cost 10 inf + 0 193.650 * * [simplify]: Extracting #2: cost 88 inf + 0 193.651 * * [simplify]: Extracting #3: cost 161 inf + 5 193.652 * * [simplify]: Extracting #4: cost 138 inf + 3919 193.661 * * [simplify]: Extracting #5: cost 21 inf + 35430 193.673 * * [simplify]: Extracting #6: cost 0 inf + 39667 193.684 * * [simplify]: Extracting #7: cost 0 inf + 39427 193.696 * [simplify]: Simplified to (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) 193.696 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (sqrt n) (* (sqrt n) (- (* (* 1/8 (* k (log n))) (* k (log n))) (* 1/2 (* k (log n)))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 193.697 * * * * [progress]: [ 277 / 287 ] simplifiying candidate # 193.697 * [simplify]: Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) 193.697 * * [simplify]: iters left: 6 (10 enodes) 193.704 * * [simplify]: iters left: 5 (44 enodes) 193.721 * * [simplify]: iters left: 4 (87 enodes) 193.738 * * [simplify]: iters left: 3 (209 enodes) 193.792 * * [simplify]: Extracting #0: cost 1 inf + 0 193.792 * * [simplify]: Extracting #1: cost 32 inf + 0 193.792 * * [simplify]: Extracting #2: cost 114 inf + 73 193.794 * * [simplify]: Extracting #3: cost 146 inf + 1532 193.798 * * [simplify]: Extracting #4: cost 64 inf + 14982 193.811 * * [simplify]: Extracting #5: cost 4 inf + 29158 193.820 * * [simplify]: Extracting #6: cost 0 inf + 31027 193.830 * * [simplify]: Extracting #7: cost 0 inf + 30987 193.840 * [simplify]: Simplified to (exp (* (* (log n) 1/2) (- 1 k))) 193.840 * [simplify]: Simplified (2 1) to (λ (k n) (/ (exp (* (* (log n) 1/2) (- 1 k))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 193.840 * * * * [progress]: [ 278 / 287 ] simplifiying candidate # 193.841 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) 193.841 * * [simplify]: iters left: 6 (13 enodes) 193.846 * * [simplify]: iters left: 5 (53 enodes) 193.856 * * [simplify]: iters left: 4 (109 enodes) 193.890 * * [simplify]: iters left: 3 (305 enodes) 194.048 * * [simplify]: Extracting #0: cost 1 inf + 0 194.048 * * [simplify]: Extracting #1: cost 34 inf + 0 194.049 * * [simplify]: Extracting #2: cost 135 inf + 73 194.050 * * [simplify]: Extracting #3: cost 197 inf + 2363 194.053 * * [simplify]: Extracting #4: cost 91 inf + 20834 194.065 * * [simplify]: Extracting #5: cost 9 inf + 40850 194.080 * * [simplify]: Extracting #6: cost 0 inf + 43041 194.095 * * [simplify]: Extracting #7: cost 0 inf + 43035 194.106 * [simplify]: Simplified to (sqrt (exp (- (log n) (* k (log n))))) 194.106 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (exp (- (log n) (* k (log n))))) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) 194.106 * * * * [progress]: [ 279 / 287 ] simplifiying candidate # 194.107 * [simplify]: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 194.107 * * [simplify]: iters left: 6 (18 enodes) 194.113 * * [simplify]: iters left: 5 (83 enodes) 194.131 * * [simplify]: iters left: 4 (199 enodes) 194.224 * * [simplify]: Extracting #0: cost 1 inf + 0 194.224 * * [simplify]: Extracting #1: cost 13 inf + 0 194.224 * * [simplify]: Extracting #2: cost 105 inf + 0 194.225 * * [simplify]: Extracting #3: cost 175 inf + 1220 194.228 * * [simplify]: Extracting #4: cost 84 inf + 21032 194.234 * * [simplify]: Extracting #5: cost 12 inf + 43012 194.241 * * [simplify]: Extracting #6: cost 0 inf + 45959 194.257 * * [simplify]: Extracting #7: cost 0 inf + 45839 194.271 * [simplify]: Simplified to (+ (sqrt PI) (* (sqrt PI) (+ (* (* k (log PI)) (* (* k (log PI)) 1/8)) (* (* k (log PI)) -1/2)))) 194.271 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (+ (sqrt PI) (* (sqrt PI) (+ (* (* k (log PI)) (* (* k (log PI)) 1/8)) (* (* k (log PI)) -1/2)))))))) 194.272 * * * * [progress]: [ 280 / 287 ] simplifiying candidate # 194.272 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 194.272 * * [simplify]: iters left: 6 (9 enodes) 194.277 * * [simplify]: iters left: 5 (37 enodes) 194.291 * * [simplify]: iters left: 4 (72 enodes) 194.317 * * [simplify]: iters left: 3 (148 enodes) 194.373 * * [simplify]: iters left: 2 (347 enodes) 194.524 * * [simplify]: Extracting #0: cost 1 inf + 0 194.524 * * [simplify]: Extracting #1: cost 37 inf + 0 194.529 * * [simplify]: Extracting #2: cost 118 inf + 357 194.532 * * [simplify]: Extracting #3: cost 152 inf + 6344 194.539 * * [simplify]: Extracting #4: cost 70 inf + 22831 194.550 * * [simplify]: Extracting #5: cost 4 inf + 39970 194.563 * * [simplify]: Extracting #6: cost 0 inf + 41186 194.577 * * [simplify]: Extracting #7: cost 0 inf + 41183 194.589 * [simplify]: Simplified to (sqrt (/ PI (exp (* k (log PI))))) 194.589 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (sqrt (/ PI (exp (* k (log PI))))))))) 194.590 * * * * [progress]: [ 281 / 287 ] simplifiying candidate # 194.590 * [simplify]: Simplifying (exp (* 1/2 (* (- 1 k) (log PI)))) 194.590 * * [simplify]: iters left: 6 (9 enodes) 194.596 * * [simplify]: iters left: 5 (37 enodes) 194.609 * * [simplify]: iters left: 4 (72 enodes) 194.635 * * [simplify]: iters left: 3 (148 enodes) 194.684 * * [simplify]: iters left: 2 (347 enodes) 194.810 * * [simplify]: Extracting #0: cost 1 inf + 0 194.811 * * [simplify]: Extracting #1: cost 37 inf + 0 194.811 * * [simplify]: Extracting #2: cost 118 inf + 357 194.814 * * [simplify]: Extracting #3: cost 152 inf + 6344 194.820 * * [simplify]: Extracting #4: cost 70 inf + 22831 194.832 * * [simplify]: Extracting #5: cost 4 inf + 39970 194.845 * * [simplify]: Extracting #6: cost 0 inf + 41186 194.858 * * [simplify]: Extracting #7: cost 0 inf + 41183 194.871 * [simplify]: Simplified to (sqrt (/ PI (exp (* k (log PI))))) 194.871 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (* (pow 2 (/ (- 1 k) 2)) (sqrt (/ PI (exp (* k (log PI))))))))) 194.871 * * * * [progress]: [ 282 / 287 ] simplifiying candidate # 194.872 * [simplify]: Simplifying (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 2) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (pow k 3) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ k (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (pow (log PI) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log 2) (* (log PI) (pow k 3))) (sqrt 2)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (/ (* (log PI) (pow k 2)) (sqrt 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (/ (* (pow (log 2) 2) (pow k 3)) (sqrt 2)) (sqrt (/ 1 PI))))))))))))))))))))))) 194.872 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 194.873 * * * * [progress]: [ 283 / 287 ] simplifiying candidate # 194.873 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 194.873 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 194.874 * * * * [progress]: [ 284 / 287 ] simplifiying candidate # 194.874 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) k)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2)))))))))) 194.874 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow n (/ (- 1 k) 2)) +nan.0)) 194.874 * * * * [progress]: [ 285 / 287 ] simplifiying candidate # 194.875 * [simplify]: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (log n) (pow k 2)))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt (* n PI))))))))))))))))))))))))))))))))) 194.875 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 194.876 * * * * [progress]: [ 286 / 287 ] simplifiying candidate # 194.876 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (log PI)))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- 1 k) (log (/ 1 n))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k))))))) 194.876 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 194.877 * * * * [progress]: [ 287 / 287 ] simplifiying candidate # 194.877 * [simplify]: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow k 2)))))))) 194.877 * [simplify]: Simplified (2) to (λ (k n) +nan.0) 194.878 * * * [progress]: adding candidates to table 198.650 * [progress]: [Phase 3 of 3] Extracting. 198.650 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 198.651 * * * [regime-changes]: Trying 4 branch expressions: (n (* (* 2 PI) n) k (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 198.651 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 198.729 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (# # # # # # # # #) 198.818 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 198.884 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (# # # # # # # # #) 198.957 * * * [regime]: Found split indices: #